%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GRP660+3 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n015.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 05:08:24 AM UTC 2025
% Result : Theorem 0.58s 0.76s
% Output : Proof 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP660+3 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Jun 19 16:46:56 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.58/0.76 % SZS status Theorem
% 0.58/0.76 % SZS output start Proof
% 0.58/0.76 tff(tptp_fun_X0_1_type, type, (
% 0.58/0.76 tptp_fun_X0_1: $i)).
% 0.58/0.76 tff(mult_type, type, (
% 0.58/0.76 mult: ( $i * $i ) > $i)).
% 0.58/0.76 tff(ld_type, type, (
% 0.58/0.76 ld: ( $i * $i ) > $i)).
% 0.58/0.76 tff(tptp_fun_X1_0_type, type, (
% 0.58/0.76 tptp_fun_X1_0: $i)).
% 0.58/0.76 tff(rd_type, type, (
% 0.58/0.76 rd: ( $i * $i ) > $i)).
% 0.58/0.76 tff(1,plain,
% 0.58/0.76 (^[B: $i, A: $i] : refl((rd(mult(A, B), B) = A) <=> (rd(mult(A, B), B) = A))),
% 0.58/0.76 inference(bind,[status(th)],[])).
% 0.58/0.76 tff(2,plain,
% 0.58/0.76 (![B: $i, A: $i] : (rd(mult(A, B), B) = A) <=> ![B: $i, A: $i] : (rd(mult(A, B), B) = A)),
% 0.58/0.76 inference(quant_intro,[status(thm)],[1])).
% 0.58/0.76 tff(3,plain,
% 0.58/0.76 (![B: $i, A: $i] : (rd(mult(A, B), B) = A) <=> ![B: $i, A: $i] : (rd(mult(A, B), B) = A)),
% 0.58/0.76 inference(rewrite,[status(thm)],[])).
% 0.58/0.76 tff(4,axiom,(![B: $i, A: $i] : (rd(mult(A, B), B) = A)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','f04')).
% 0.58/0.76 tff(5,plain,
% 0.58/0.76 (![B: $i, A: $i] : (rd(mult(A, B), B) = A)),
% 0.58/0.76 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.58/0.76 tff(6,plain,(
% 0.58/0.76 ![B: $i, A: $i] : (rd(mult(A, B), B) = A)),
% 0.58/0.76 inference(skolemize,[status(sab)],[5])).
% 0.58/0.76 tff(7,plain,
% 0.58/0.76 (![B: $i, A: $i] : (rd(mult(A, B), B) = A)),
% 0.58/0.76 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.58/0.76 tff(8,plain,
% 0.58/0.76 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), mult(X1!0, ld(X1!0, X1!0))) = X0!1)),
% 0.58/0.76 inference(quant_inst,[status(thm)],[])).
% 0.58/0.76 tff(9,plain,
% 0.58/0.76 (rd(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), mult(X1!0, ld(X1!0, X1!0))) = X0!1),
% 0.58/0.76 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.58/0.76 tff(10,plain,
% 0.58/0.76 (^[B: $i, A: $i] : refl((mult(A, ld(A, B)) = B) <=> (mult(A, ld(A, B)) = B))),
% 0.58/0.76 inference(bind,[status(th)],[])).
% 0.58/0.76 tff(11,plain,
% 0.58/0.76 (![B: $i, A: $i] : (mult(A, ld(A, B)) = B) <=> ![B: $i, A: $i] : (mult(A, ld(A, B)) = B)),
% 0.58/0.76 inference(quant_intro,[status(thm)],[10])).
% 0.58/0.76 tff(12,plain,
% 0.58/0.76 (![B: $i, A: $i] : (mult(A, ld(A, B)) = B) <=> ![B: $i, A: $i] : (mult(A, ld(A, B)) = B)),
% 0.58/0.76 inference(rewrite,[status(thm)],[])).
% 0.58/0.76 tff(13,axiom,(![B: $i, A: $i] : (mult(A, ld(A, B)) = B)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','f01')).
% 0.58/0.76 tff(14,plain,
% 0.58/0.76 (![B: $i, A: $i] : (mult(A, ld(A, B)) = B)),
% 0.58/0.76 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.58/0.76 tff(15,plain,(
% 0.58/0.76 ![B: $i, A: $i] : (mult(A, ld(A, B)) = B)),
% 0.58/0.76 inference(skolemize,[status(sab)],[14])).
% 0.58/0.76 tff(16,plain,
% 0.58/0.76 (![B: $i, A: $i] : (mult(A, ld(A, B)) = B)),
% 0.58/0.76 inference(modus_ponens,[status(thm)],[15, 11])).
% 0.58/0.76 tff(17,plain,
% 0.58/0.76 ((~![B: $i, A: $i] : (mult(A, ld(A, B)) = B)) | (mult(X1!0, ld(X1!0, X1!0)) = X1!0)),
% 0.58/0.76 inference(quant_inst,[status(thm)],[])).
% 0.58/0.76 tff(18,plain,
% 0.58/0.76 (mult(X1!0, ld(X1!0, X1!0)) = X1!0),
% 0.58/0.76 inference(unit_resolution,[status(thm)],[17, 16])).
% 0.58/0.76 tff(19,plain,
% 0.58/0.76 (X1!0 = mult(X1!0, ld(X1!0, X1!0))),
% 0.58/0.76 inference(symmetry,[status(thm)],[18])).
% 0.58/0.76 tff(20,plain,
% 0.58/0.76 (^[B: $i, A: $i] : refl((ld(A, mult(A, B)) = B) <=> (ld(A, mult(A, B)) = B))),
% 0.58/0.76 inference(bind,[status(th)],[])).
% 0.58/0.76 tff(21,plain,
% 0.58/0.76 (![B: $i, A: $i] : (ld(A, mult(A, B)) = B) <=> ![B: $i, A: $i] : (ld(A, mult(A, B)) = B)),
% 0.58/0.76 inference(quant_intro,[status(thm)],[20])).
% 0.58/0.76 tff(22,plain,
% 0.58/0.76 (![B: $i, A: $i] : (ld(A, mult(A, B)) = B) <=> ![B: $i, A: $i] : (ld(A, mult(A, B)) = B)),
% 0.58/0.76 inference(rewrite,[status(thm)],[])).
% 0.58/0.76 tff(23,axiom,(![B: $i, A: $i] : (ld(A, mult(A, B)) = B)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','f02')).
% 0.58/0.76 tff(24,plain,
% 0.58/0.76 (![B: $i, A: $i] : (ld(A, mult(A, B)) = B)),
% 0.58/0.76 inference(modus_ponens,[status(thm)],[23, 22])).
% 0.58/0.76 tff(25,plain,(
% 0.58/0.76 ![B: $i, A: $i] : (ld(A, mult(A, B)) = B)),
% 0.58/0.76 inference(skolemize,[status(sab)],[24])).
% 0.58/0.76 tff(26,plain,
% 0.58/0.76 (![B: $i, A: $i] : (ld(A, mult(A, B)) = B)),
% 0.58/0.76 inference(modus_ponens,[status(thm)],[25, 21])).
% 0.58/0.76 tff(27,plain,
% 0.58/0.76 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))) = mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))),
% 0.58/0.76 inference(quant_inst,[status(thm)],[])).
% 0.58/0.76 tff(28,plain,
% 0.58/0.76 (ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))) = mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))),
% 0.58/0.76 inference(unit_resolution,[status(thm)],[27, 26])).
% 0.58/0.76 tff(29,plain,
% 0.58/0.76 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(ld(X1!0, X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(ld(X1!0, X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))),
% 0.58/0.76 inference(quant_inst,[status(thm)],[])).
% 0.58/0.76 tff(30,plain,
% 0.58/0.76 (rd(mult(mult(ld(X1!0, X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(ld(X1!0, X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))),
% 0.58/0.76 inference(unit_resolution,[status(thm)],[29, 7])).
% 0.58/0.76 tff(31,plain,
% 0.58/0.76 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0)) = X1!0)),
% 0.58/0.76 inference(quant_inst,[status(thm)],[])).
% 0.58/0.76 tff(32,plain,
% 0.58/0.76 (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0)) = X1!0),
% 0.58/0.76 inference(unit_resolution,[status(thm)],[31, 26])).
% 0.58/0.76 tff(33,plain,
% 0.58/0.76 (^[B: $i, A: $i] : refl((mult(rd(A, B), B) = A) <=> (mult(rd(A, B), B) = A))),
% 0.58/0.76 inference(bind,[status(th)],[])).
% 0.58/0.76 tff(34,plain,
% 0.58/0.76 (![B: $i, A: $i] : (mult(rd(A, B), B) = A) <=> ![B: $i, A: $i] : (mult(rd(A, B), B) = A)),
% 0.58/0.76 inference(quant_intro,[status(thm)],[33])).
% 0.58/0.76 tff(35,plain,
% 0.58/0.76 (![B: $i, A: $i] : (mult(rd(A, B), B) = A) <=> ![B: $i, A: $i] : (mult(rd(A, B), B) = A)),
% 0.58/0.76 inference(rewrite,[status(thm)],[])).
% 0.58/0.76 tff(36,axiom,(![B: $i, A: $i] : (mult(rd(A, B), B) = A)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','f03')).
% 0.58/0.76 tff(37,plain,
% 0.58/0.76 (![B: $i, A: $i] : (mult(rd(A, B), B) = A)),
% 0.58/0.76 inference(modus_ponens,[status(thm)],[36, 35])).
% 0.58/0.76 tff(38,plain,(
% 0.58/0.76 ![B: $i, A: $i] : (mult(rd(A, B), B) = A)),
% 0.58/0.76 inference(skolemize,[status(sab)],[37])).
% 0.58/0.76 tff(39,plain,
% 0.58/0.76 (![B: $i, A: $i] : (mult(rd(A, B), B) = A)),
% 0.58/0.76 inference(modus_ponens,[status(thm)],[38, 34])).
% 0.58/0.76 tff(40,plain,
% 0.58/0.76 ((~![B: $i, A: $i] : (mult(rd(A, B), B) = A)) | (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0) = mult(X1!0, ld(X1!0, X1!0)))),
% 0.58/0.76 inference(quant_inst,[status(thm)],[])).
% 0.58/0.76 tff(41,plain,
% 0.58/0.76 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0) = mult(X1!0, ld(X1!0, X1!0))),
% 0.58/0.76 inference(unit_resolution,[status(thm)],[40, 39])).
% 0.58/0.76 tff(42,plain,
% 0.58/0.76 (mult(X1!0, ld(X1!0, X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0)),
% 0.58/0.76 inference(symmetry,[status(thm)],[41])).
% 0.58/0.76 tff(43,plain,
% 0.58/0.76 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(X1!0, X1!0), X1!0) = X1!0)),
% 0.58/0.76 inference(quant_inst,[status(thm)],[])).
% 0.58/0.76 tff(44,plain,
% 0.58/0.76 (rd(mult(X1!0, X1!0), X1!0) = X1!0),
% 0.58/0.76 inference(unit_resolution,[status(thm)],[43, 7])).
% 0.58/0.76 tff(45,plain,
% 0.58/0.76 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0) = X1!0),
% 0.58/0.76 inference(transitivity,[status(thm)],[41, 18])).
% 0.58/0.76 tff(46,plain,
% 0.58/0.76 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0)),
% 0.58/0.76 inference(monotonicity,[status(thm)],[45])).
% 0.58/0.76 tff(47,plain,
% 0.58/0.76 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0))),
% 0.58/0.76 inference(symmetry,[status(thm)],[46])).
% 0.58/0.76 tff(48,plain,
% 0.58/0.76 (X1!0 = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0))),
% 0.58/0.76 inference(transitivity,[status(thm)],[19, 42, 47])).
% 0.58/0.76 tff(49,plain,
% 0.58/0.76 (mult(X1!0, X1!0) = mult(X1!0, mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0)))),
% 0.58/0.76 inference(monotonicity,[status(thm)],[48])).
% 0.58/0.76 tff(50,plain,
% 0.58/0.76 (mult(X1!0, mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0))) = mult(X1!0, X1!0)),
% 0.58/0.76 inference(symmetry,[status(thm)],[49])).
% 0.58/0.76 tff(51,plain,
% 0.58/0.76 (^[C: $i, B: $i, A: $i] : refl((mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A)))) <=> (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A)))))),
% 0.58/0.76 inference(bind,[status(th)],[])).
% 0.58/0.76 tff(52,plain,
% 0.58/0.76 (![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A)))) <=> ![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))),
% 0.58/0.76 inference(quant_intro,[status(thm)],[51])).
% 0.58/0.76 tff(53,plain,
% 0.58/0.76 (![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A)))) <=> ![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))),
% 0.58/0.76 inference(rewrite,[status(thm)],[])).
% 0.58/0.76 tff(54,axiom,(![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','f05')).
% 0.58/0.76 tff(55,plain,
% 0.58/0.76 (![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))),
% 0.58/0.76 inference(modus_ponens,[status(thm)],[54, 53])).
% 0.58/0.76 tff(56,plain,(
% 0.58/0.76 ![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))),
% 0.58/0.76 inference(skolemize,[status(sab)],[55])).
% 0.58/0.76 tff(57,plain,
% 0.58/0.76 (![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))),
% 0.58/0.76 inference(modus_ponens,[status(thm)],[56, 52])).
% 0.58/0.76 tff(58,plain,
% 0.58/0.76 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0) = mult(X1!0, mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0))))),
% 0.58/0.76 inference(quant_inst,[status(thm)],[])).
% 0.58/0.76 tff(59,plain,
% 0.58/0.76 (mult(mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0) = mult(X1!0, mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0)))),
% 0.58/0.76 inference(unit_resolution,[status(thm)],[58, 57])).
% 0.58/0.76 tff(60,plain,
% 0.58/0.76 (mult(mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0) = mult(X1!0, X1!0)),
% 0.58/0.76 inference(transitivity,[status(thm)],[59, 50])).
% 0.58/0.76 tff(61,plain,
% 0.58/0.76 (rd(mult(mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), X1!0) = rd(mult(X1!0, X1!0), X1!0)),
% 0.58/0.76 inference(monotonicity,[status(thm)],[60])).
% 0.58/0.76 tff(62,plain,
% 0.58/0.76 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), X1!0) = mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.58/0.76 inference(quant_inst,[status(thm)],[])).
% 0.58/0.76 tff(63,plain,
% 0.58/0.76 (rd(mult(mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), X1!0) = mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.58/0.76 inference(unit_resolution,[status(thm)],[62, 7])).
% 0.58/0.76 tff(64,plain,
% 0.58/0.76 (mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = rd(mult(mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), X1!0)),
% 0.58/0.76 inference(symmetry,[status(thm)],[63])).
% 0.58/0.76 tff(65,plain,
% 0.58/0.76 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.58/0.76 inference(monotonicity,[status(thm)],[45])).
% 0.58/0.76 tff(66,plain,
% 0.58/0.76 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.58/0.76 inference(monotonicity,[status(thm)],[65])).
% 0.58/0.76 tff(67,plain,
% 0.58/0.76 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.58/0.76 inference(quant_inst,[status(thm)],[])).
% 0.58/0.76 tff(68,plain,
% 0.58/0.76 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.58/0.77 inference(unit_resolution,[status(thm)],[67, 57])).
% 0.58/0.77 tff(69,plain,
% 0.58/0.77 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.58/0.77 inference(symmetry,[status(thm)],[68])).
% 0.58/0.77 tff(70,plain,
% 0.58/0.77 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0)),
% 0.58/0.77 inference(transitivity,[status(thm)],[69, 66, 64, 61, 44, 19, 42])).
% 0.58/0.77 tff(71,plain,
% 0.58/0.77 (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0))),
% 0.58/0.77 inference(monotonicity,[status(thm)],[70])).
% 0.58/0.77 tff(72,plain,
% 0.58/0.77 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = mult(X1!0, mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.58/0.77 inference(quant_inst,[status(thm)],[])).
% 0.58/0.77 tff(73,plain,
% 0.58/0.77 (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = mult(X1!0, mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.58/0.77 inference(unit_resolution,[status(thm)],[72, 26])).
% 0.58/0.77 tff(74,plain,
% 0.58/0.77 (mult(X1!0, mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.58/0.77 inference(symmetry,[status(thm)],[73])).
% 0.58/0.77 tff(75,plain,
% 0.58/0.77 (mult(X1!0, mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = X1!0),
% 0.58/0.77 inference(transitivity,[status(thm)],[74, 71, 32])).
% 0.58/0.77 tff(76,plain,
% 0.58/0.77 (ld(X1!0, mult(X1!0, mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = ld(X1!0, X1!0)),
% 0.58/0.77 inference(monotonicity,[status(thm)],[75])).
% 0.58/0.77 tff(77,plain,
% 0.58/0.77 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(X1!0, mult(X1!0, mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.58/0.77 inference(quant_inst,[status(thm)],[])).
% 0.58/0.77 tff(78,plain,
% 0.58/0.77 (ld(X1!0, mult(X1!0, mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.58/0.77 inference(unit_resolution,[status(thm)],[77, 26])).
% 0.58/0.77 tff(79,plain,
% 0.58/0.77 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = ld(X1!0, mult(X1!0, mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.58/0.77 inference(symmetry,[status(thm)],[78])).
% 0.58/0.77 tff(80,plain,
% 0.58/0.77 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = ld(X1!0, X1!0)),
% 0.58/0.77 inference(transitivity,[status(thm)],[79, 76])).
% 0.58/0.77 tff(81,plain,
% 0.58/0.77 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))) = mult(ld(X1!0, X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))),
% 0.58/0.77 inference(monotonicity,[status(thm)],[80])).
% 0.58/0.77 tff(82,plain,
% 0.58/0.77 (mult(ld(X1!0, X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))),
% 0.58/0.77 inference(symmetry,[status(thm)],[81])).
% 0.58/0.77 tff(83,plain,
% 0.58/0.77 (mult(mult(ld(X1!0, X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.58/0.77 inference(monotonicity,[status(thm)],[82])).
% 0.58/0.77 tff(84,plain,
% 0.58/0.77 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(ld(X1!0, X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.58/0.77 inference(symmetry,[status(thm)],[83])).
% 0.58/0.77 tff(85,plain,
% 0.58/0.77 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.58/0.77 inference(quant_inst,[status(thm)],[])).
% 0.58/0.77 tff(86,plain,
% 0.58/0.77 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.58/0.77 inference(unit_resolution,[status(thm)],[85, 57])).
% 0.58/0.77 tff(87,plain,
% 0.58/0.77 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.58/0.77 inference(symmetry,[status(thm)],[86])).
% 0.58/0.77 tff(88,plain,
% 0.58/0.77 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)) = rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.58/0.77 inference(quant_inst,[status(thm)],[])).
% 0.58/0.77 tff(89,plain,
% 0.58/0.77 (rd(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)) = rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)),
% 0.58/0.77 inference(unit_resolution,[status(thm)],[88, 7])).
% 0.58/0.77 tff(90,plain,
% 0.58/0.77 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0))),
% 0.58/0.77 inference(quant_inst,[status(thm)],[])).
% 0.58/0.77 tff(91,plain,
% 0.58/0.77 (rd(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)),
% 0.58/0.77 inference(unit_resolution,[status(thm)],[90, 7])).
% 0.58/0.77 tff(92,plain,
% 0.58/0.77 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(ld(X1!0, X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(ld(X1!0, X1!0), ld(X1!0, X1!0)))))),
% 0.58/0.77 inference(quant_inst,[status(thm)],[])).
% 0.58/0.77 tff(93,plain,
% 0.58/0.77 (mult(mult(mult(ld(X1!0, X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(ld(X1!0, X1!0), ld(X1!0, X1!0))))),
% 0.58/0.77 inference(unit_resolution,[status(thm)],[92, 57])).
% 0.58/0.77 tff(94,plain,
% 0.58/0.77 (mult(ld(X1!0, X1!0), mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(ld(X1!0, X1!0), ld(X1!0, X1!0)))) = mult(mult(mult(ld(X1!0, X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)), ld(X1!0, X1!0))),
% 0.58/0.77 inference(symmetry,[status(thm)],[93])).
% 0.58/0.77 tff(95,plain,
% 0.58/0.77 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(X1!0, ld(X1!0, X1!0)), ld(X1!0, X1!0)) = X1!0)),
% 0.58/0.77 inference(quant_inst,[status(thm)],[])).
% 0.58/0.77 tff(96,plain,
% 0.58/0.77 (rd(mult(X1!0, ld(X1!0, X1!0)), ld(X1!0, X1!0)) = X1!0),
% 0.58/0.77 inference(unit_resolution,[status(thm)],[95, 7])).
% 0.58/0.77 tff(97,plain,
% 0.58/0.77 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(X1!0, mult(X1!0, X1!0)) = X1!0)),
% 0.58/0.77 inference(quant_inst,[status(thm)],[])).
% 0.58/0.77 tff(98,plain,
% 0.58/0.77 (ld(X1!0, mult(X1!0, X1!0)) = X1!0),
% 0.58/0.77 inference(unit_resolution,[status(thm)],[97, 26])).
% 0.58/0.77 tff(99,plain,
% 0.58/0.77 (mult(mult(X1!0, ld(X1!0, X1!0)), ld(X1!0, X1!0)) = mult(X1!0, ld(X1!0, X1!0))),
% 0.58/0.77 inference(monotonicity,[status(thm)],[18])).
% 0.58/0.77 tff(100,plain,
% 0.58/0.77 (mult(mult(X1!0, ld(X1!0, X1!0)), ld(X1!0, X1!0)) = X1!0),
% 0.58/0.77 inference(transitivity,[status(thm)],[99, 18])).
% 0.58/0.77 tff(101,plain,
% 0.58/0.77 (mult(mult(mult(X1!0, ld(X1!0, X1!0)), ld(X1!0, X1!0)), X1!0) = mult(X1!0, X1!0)),
% 0.58/0.77 inference(monotonicity,[status(thm)],[100])).
% 0.58/0.77 tff(102,plain,
% 0.58/0.77 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(X1!0, ld(X1!0, X1!0)), ld(X1!0, X1!0)), X1!0) = mult(X1!0, mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), X1!0))))),
% 0.58/0.77 inference(quant_inst,[status(thm)],[])).
% 0.58/0.77 tff(103,plain,
% 0.58/0.77 (mult(mult(mult(X1!0, ld(X1!0, X1!0)), ld(X1!0, X1!0)), X1!0) = mult(X1!0, mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), X1!0)))),
% 0.58/0.77 inference(unit_resolution,[status(thm)],[102, 57])).
% 0.58/0.77 tff(104,plain,
% 0.58/0.77 (mult(X1!0, mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), X1!0))) = mult(mult(mult(X1!0, ld(X1!0, X1!0)), ld(X1!0, X1!0)), X1!0)),
% 0.58/0.77 inference(symmetry,[status(thm)],[103])).
% 0.58/0.77 tff(105,plain,
% 0.58/0.77 (mult(X1!0, mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), X1!0))) = mult(X1!0, X1!0)),
% 0.58/0.77 inference(transitivity,[status(thm)],[104, 101])).
% 0.58/0.77 tff(106,plain,
% 0.58/0.77 (ld(X1!0, mult(X1!0, mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), X1!0)))) = ld(X1!0, mult(X1!0, X1!0))),
% 0.58/0.77 inference(monotonicity,[status(thm)],[105])).
% 0.58/0.77 tff(107,plain,
% 0.58/0.77 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(X1!0, mult(X1!0, mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), X1!0)))) = mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), X1!0)))),
% 0.58/0.77 inference(quant_inst,[status(thm)],[])).
% 0.58/0.77 tff(108,plain,
% 0.58/0.77 (ld(X1!0, mult(X1!0, mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), X1!0)))) = mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), X1!0))),
% 0.58/0.77 inference(unit_resolution,[status(thm)],[107, 26])).
% 0.58/0.77 tff(109,plain,
% 0.58/0.77 (mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), X1!0)) = ld(X1!0, mult(X1!0, mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), X1!0))))),
% 0.58/0.77 inference(symmetry,[status(thm)],[108])).
% 0.58/0.77 tff(110,plain,
% 0.58/0.77 (mult(ld(X1!0, X1!0), mult(X1!0, ld(X1!0, X1!0))) = mult(ld(X1!0, X1!0), X1!0)),
% 0.58/0.77 inference(monotonicity,[status(thm)],[18])).
% 0.58/0.77 tff(111,plain,
% 0.58/0.77 (mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(X1!0, ld(X1!0, X1!0)))) = mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), X1!0))),
% 0.58/0.77 inference(monotonicity,[status(thm)],[110])).
% 0.58/0.77 tff(112,plain,
% 0.58/0.77 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(X1!0, ld(X1!0, X1!0)))))),
% 0.58/0.77 inference(quant_inst,[status(thm)],[])).
% 0.58/0.77 tff(113,plain,
% 0.58/0.77 (mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(X1!0, ld(X1!0, X1!0))))),
% 0.58/0.77 inference(unit_resolution,[status(thm)],[112, 57])).
% 0.58/0.77 tff(114,plain,
% 0.58/0.77 (mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)) = mult(X1!0, ld(X1!0, X1!0))),
% 0.58/0.77 inference(transitivity,[status(thm)],[113, 111, 109, 106, 98, 19])).
% 0.58/0.77 tff(115,plain,
% 0.58/0.77 (rd(mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = rd(mult(X1!0, ld(X1!0, X1!0)), ld(X1!0, X1!0))),
% 0.58/0.77 inference(monotonicity,[status(thm)],[114])).
% 0.58/0.77 tff(116,plain,
% 0.58/0.77 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), X1!0))),
% 0.58/0.77 inference(quant_inst,[status(thm)],[])).
% 0.58/0.77 tff(117,plain,
% 0.58/0.77 (rd(mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), X1!0)),
% 0.58/0.77 inference(unit_resolution,[status(thm)],[116, 7])).
% 0.58/0.77 tff(118,plain,
% 0.58/0.77 (mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), X1!0) = rd(mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))),
% 0.58/0.77 inference(symmetry,[status(thm)],[117])).
% 0.58/0.77 tff(119,plain,
% 0.58/0.77 (mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), X1!0) = mult(X1!0, ld(X1!0, X1!0))),
% 0.58/0.77 inference(transitivity,[status(thm)],[118, 115, 96, 19])).
% 0.58/0.77 tff(120,plain,
% 0.58/0.77 (rd(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), X1!0), X1!0) = rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)),
% 0.58/0.77 inference(monotonicity,[status(thm)],[119])).
% 0.58/0.77 tff(121,plain,
% 0.58/0.77 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), X1!0), X1!0) = mult(ld(X1!0, X1!0), ld(X1!0, X1!0)))),
% 0.58/0.77 inference(quant_inst,[status(thm)],[])).
% 0.58/0.77 tff(122,plain,
% 0.58/0.77 (rd(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), X1!0), X1!0) = mult(ld(X1!0, X1!0), ld(X1!0, X1!0))),
% 0.58/0.77 inference(unit_resolution,[status(thm)],[121, 7])).
% 0.58/0.77 tff(123,plain,
% 0.58/0.77 (mult(ld(X1!0, X1!0), ld(X1!0, X1!0)) = rd(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), X1!0), X1!0)),
% 0.58/0.77 inference(symmetry,[status(thm)],[122])).
% 0.58/0.77 tff(124,plain,
% 0.58/0.77 (mult(ld(X1!0, X1!0), ld(X1!0, X1!0)) = rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)),
% 0.58/0.77 inference(transitivity,[status(thm)],[123, 120])).
% 0.58/0.77 tff(125,plain,
% 0.58/0.77 (mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(ld(X1!0, X1!0), ld(X1!0, X1!0))) = mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.58/0.77 inference(monotonicity,[status(thm)],[124])).
% 0.58/0.77 tff(126,plain,
% 0.58/0.77 (mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(ld(X1!0, X1!0), ld(X1!0, X1!0))) = X1!0),
% 0.58/0.77 inference(transitivity,[status(thm)],[125, 64, 61, 44])).
% 0.58/0.77 tff(127,plain,
% 0.58/0.77 (mult(ld(X1!0, X1!0), mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(ld(X1!0, X1!0), ld(X1!0, X1!0)))) = mult(ld(X1!0, X1!0), X1!0)),
% 0.58/0.77 inference(monotonicity,[status(thm)],[126])).
% 0.58/0.77 tff(128,plain,
% 0.58/0.77 (mult(ld(X1!0, X1!0), X1!0) = mult(ld(X1!0, X1!0), mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(ld(X1!0, X1!0), ld(X1!0, X1!0))))),
% 0.58/0.77 inference(symmetry,[status(thm)],[127])).
% 0.58/0.77 tff(129,plain,
% 0.58/0.77 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, ld(X1!0, X1!0))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0)),
% 0.58/0.77 inference(monotonicity,[status(thm)],[18])).
% 0.58/0.77 tff(130,plain,
% 0.58/0.77 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, ld(X1!0, X1!0))) = X1!0),
% 0.58/0.77 inference(transitivity,[status(thm)],[129, 41, 18])).
% 0.58/0.77 tff(131,plain,
% 0.58/0.77 (mult(ld(X1!0, X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, ld(X1!0, X1!0)))) = mult(ld(X1!0, X1!0), X1!0)),
% 0.58/0.77 inference(monotonicity,[status(thm)],[130])).
% 0.58/0.77 tff(132,plain,
% 0.58/0.77 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, ld(X1!0, X1!0)))))),
% 0.58/0.77 inference(quant_inst,[status(thm)],[])).
% 0.58/0.77 tff(133,plain,
% 0.58/0.77 (mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, ld(X1!0, X1!0))))),
% 0.58/0.77 inference(unit_resolution,[status(thm)],[132, 57])).
% 0.58/0.77 tff(134,plain,
% 0.58/0.77 (mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), ld(X1!0, X1!0)) = mult(mult(mult(ld(X1!0, X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)), ld(X1!0, X1!0))),
% 0.58/0.77 inference(transitivity,[status(thm)],[133, 131, 128, 94])).
% 0.58/0.78 tff(135,plain,
% 0.58/0.78 (rd(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = rd(mult(mult(mult(ld(X1!0, X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)), ld(X1!0, X1!0)), ld(X1!0, X1!0))),
% 0.58/0.78 inference(monotonicity,[status(thm)],[134])).
% 0.58/0.78 tff(136,plain,
% 0.58/0.78 (rd(mult(mult(mult(ld(X1!0, X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = rd(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))),
% 0.58/0.78 inference(symmetry,[status(thm)],[135])).
% 0.58/0.78 tff(137,plain,
% 0.58/0.78 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(ld(X1!0, X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = mult(mult(ld(X1!0, X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)))),
% 0.58/0.78 inference(quant_inst,[status(thm)],[])).
% 0.58/0.78 tff(138,plain,
% 0.58/0.78 (rd(mult(mult(mult(ld(X1!0, X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = mult(mult(ld(X1!0, X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0))),
% 0.58/0.78 inference(unit_resolution,[status(thm)],[137, 7])).
% 0.58/0.78 tff(139,plain,
% 0.58/0.78 (mult(mult(ld(X1!0, X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)) = rd(mult(mult(mult(ld(X1!0, X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)), ld(X1!0, X1!0)), ld(X1!0, X1!0))),
% 0.58/0.78 inference(symmetry,[status(thm)],[138])).
% 0.58/0.78 tff(140,plain,
% 0.58/0.78 (mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.58/0.78 inference(monotonicity,[status(thm)],[124])).
% 0.58/0.78 tff(141,plain,
% 0.58/0.78 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.58/0.78 inference(symmetry,[status(thm)],[140])).
% 0.58/0.78 tff(142,plain,
% 0.58/0.78 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.58/0.78 inference(quant_inst,[status(thm)],[])).
% 0.58/0.78 tff(143,plain,
% 0.58/0.78 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.58/0.78 inference(unit_resolution,[status(thm)],[142, 57])).
% 0.58/0.78 tff(144,plain,
% 0.58/0.78 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0), ld(X1!0, X1!0)) = mult(X1!0, ld(X1!0, X1!0))),
% 0.58/0.78 inference(monotonicity,[status(thm)],[45])).
% 0.58/0.78 tff(145,plain,
% 0.58/0.78 (mult(X1!0, ld(X1!0, X1!0)) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0), ld(X1!0, X1!0))),
% 0.58/0.78 inference(symmetry,[status(thm)],[144])).
% 0.58/0.78 tff(146,plain,
% 0.58/0.78 (X1!0 = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0), ld(X1!0, X1!0))),
% 0.58/0.78 inference(transitivity,[status(thm)],[19, 145])).
% 0.58/0.78 tff(147,plain,
% 0.58/0.78 (mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.58/0.78 inference(monotonicity,[status(thm)],[146])).
% 0.58/0.78 tff(148,plain,
% 0.58/0.78 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.58/0.78 inference(quant_inst,[status(thm)],[])).
% 0.58/0.78 tff(149,plain,
% 0.58/0.78 (rd(mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.58/0.78 inference(unit_resolution,[status(thm)],[148, 7])).
% 0.58/0.78 tff(150,plain,
% 0.58/0.78 (rd(mult(X1!0, X1!0), X1!0) = rd(mult(mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), X1!0)),
% 0.58/0.78 inference(symmetry,[status(thm)],[61])).
% 0.58/0.78 tff(151,plain,
% 0.58/0.78 (X1!0 = rd(mult(X1!0, X1!0), X1!0)),
% 0.58/0.78 inference(symmetry,[status(thm)],[44])).
% 0.58/0.78 tff(152,plain,
% 0.58/0.78 (mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = X1!0),
% 0.58/0.78 inference(transitivity,[status(thm)],[64, 61, 44])).
% 0.58/0.78 tff(153,plain,
% 0.58/0.78 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0)),
% 0.58/0.78 inference(monotonicity,[status(thm)],[152])).
% 0.58/0.78 tff(154,plain,
% 0.58/0.78 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = X1!0),
% 0.58/0.78 inference(transitivity,[status(thm)],[153, 41, 18])).
% 0.58/0.78 tff(155,plain,
% 0.58/0.78 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0)),
% 0.58/0.78 inference(monotonicity,[status(thm)],[154])).
% 0.58/0.78 tff(156,plain,
% 0.58/0.78 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.58/0.78 inference(quant_inst,[status(thm)],[])).
% 0.58/0.78 tff(157,plain,
% 0.58/0.78 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.58/0.78 inference(unit_resolution,[status(thm)],[156, 57])).
% 0.58/0.78 tff(158,plain,
% 0.58/0.78 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.58/0.78 inference(transitivity,[status(thm)],[157, 155, 41, 18, 151, 150, 63])).
% 0.58/0.78 tff(159,plain,
% 0.58/0.78 (rd(mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = rd(mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.58/0.78 inference(monotonicity,[status(thm)],[158])).
% 0.58/0.78 tff(160,plain,
% 0.58/0.78 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.58/0.78 inference(quant_inst,[status(thm)],[])).
% 0.58/0.78 tff(161,plain,
% 0.58/0.78 (rd(mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.58/0.78 inference(unit_resolution,[status(thm)],[160, 7])).
% 0.58/0.78 tff(162,plain,
% 0.58/0.78 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = rd(mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.58/0.78 inference(symmetry,[status(thm)],[161])).
% 0.58/0.78 tff(163,plain,
% 0.58/0.78 (ld(X1!0, X1!0) = ld(X1!0, mult(X1!0, mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.58/0.78 inference(symmetry,[status(thm)],[76])).
% 0.58/0.78 tff(164,plain,
% 0.58/0.78 (ld(X1!0, X1!0) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.58/0.78 inference(transitivity,[status(thm)],[163, 78])).
% 0.58/0.78 tff(165,plain,
% 0.58/0.78 (mult(ld(X1!0, X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.58/0.78 inference(monotonicity,[status(thm)],[164])).
% 0.58/0.78 tff(166,plain,
% 0.58/0.78 (mult(ld(X1!0, X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.58/0.78 inference(transitivity,[status(thm)],[165, 162, 159, 149, 147, 143, 141])).
% 0.58/0.78 tff(167,plain,
% 0.58/0.78 (mult(mult(ld(X1!0, X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)) = mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), ld(X1!0, X1!0))),
% 0.58/0.78 inference(monotonicity,[status(thm)],[166])).
% 0.58/0.78 tff(168,plain,
% 0.58/0.78 (mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), ld(X1!0, X1!0)) = mult(mult(ld(X1!0, X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0))),
% 0.58/0.78 inference(symmetry,[status(thm)],[167])).
% 0.58/0.78 tff(169,plain,
% 0.58/0.78 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)))))),
% 0.58/0.78 inference(quant_inst,[status(thm)],[])).
% 0.58/0.78 tff(170,plain,
% 0.58/0.78 (mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0))))),
% 0.58/0.78 inference(unit_resolution,[status(thm)],[169, 57])).
% 0.58/0.78 tff(171,plain,
% 0.58/0.78 (mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)))) = mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), ld(X1!0, X1!0))),
% 0.58/0.78 inference(symmetry,[status(thm)],[170])).
% 0.58/0.78 tff(172,plain,
% 0.58/0.78 (mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)) = mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.58/0.78 inference(monotonicity,[status(thm)],[164])).
% 0.58/0.78 tff(173,plain,
% 0.58/0.78 (mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0))),
% 0.58/0.78 inference(symmetry,[status(thm)],[172])).
% 0.58/0.78 tff(174,plain,
% 0.58/0.78 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.58/0.78 inference(quant_inst,[status(thm)],[])).
% 0.58/0.78 tff(175,plain,
% 0.58/0.78 (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.58/0.79 inference(unit_resolution,[status(thm)],[174, 26])).
% 0.58/0.79 tff(176,plain,
% 0.58/0.79 ((~![B: $i, A: $i] : (mult(A, ld(A, B)) = B)) | (mult(ld(X1!0, X1!0), ld(ld(X1!0, X1!0), X1!0)) = X1!0)),
% 0.58/0.79 inference(quant_inst,[status(thm)],[])).
% 0.58/0.79 tff(177,plain,
% 0.58/0.79 (mult(ld(X1!0, X1!0), ld(ld(X1!0, X1!0), X1!0)) = X1!0),
% 0.58/0.79 inference(unit_resolution,[status(thm)],[176, 16])).
% 0.58/0.79 tff(178,plain,
% 0.58/0.79 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(ld(X1!0, X1!0), X1!0)) = mult(ld(X1!0, X1!0), ld(ld(X1!0, X1!0), X1!0))),
% 0.58/0.79 inference(monotonicity,[status(thm)],[80])).
% 0.58/0.79 tff(179,plain,
% 0.58/0.79 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(ld(X1!0, X1!0), X1!0)) = X1!0),
% 0.58/0.79 inference(transitivity,[status(thm)],[178, 177])).
% 0.58/0.79 tff(180,plain,
% 0.58/0.79 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(ld(X1!0, X1!0), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.58/0.79 inference(monotonicity,[status(thm)],[179])).
% 0.58/0.79 tff(181,plain,
% 0.58/0.79 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(ld(X1!0, X1!0), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(ld(X1!0, X1!0), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.58/0.79 inference(quant_inst,[status(thm)],[])).
% 0.58/0.79 tff(182,plain,
% 0.58/0.79 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(ld(X1!0, X1!0), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(ld(X1!0, X1!0), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.58/0.79 inference(unit_resolution,[status(thm)],[181, 57])).
% 0.58/0.79 tff(183,plain,
% 0.58/0.79 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(ld(X1!0, X1!0), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(ld(X1!0, X1!0), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.58/0.79 inference(symmetry,[status(thm)],[182])).
% 0.58/0.79 tff(184,plain,
% 0.58/0.79 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(ld(X1!0, X1!0), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.58/0.79 inference(transitivity,[status(thm)],[183, 180, 147, 143])).
% 0.58/0.79 tff(185,plain,
% 0.58/0.79 (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(ld(X1!0, X1!0), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.58/0.79 inference(monotonicity,[status(thm)],[184])).
% 0.58/0.79 tff(186,plain,
% 0.58/0.79 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(ld(X1!0, X1!0), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(ld(X1!0, X1!0), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.58/0.79 inference(quant_inst,[status(thm)],[])).
% 0.58/0.79 tff(187,plain,
% 0.58/0.79 (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(ld(X1!0, X1!0), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(ld(X1!0, X1!0), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.58/0.79 inference(unit_resolution,[status(thm)],[186, 26])).
% 0.58/0.79 tff(188,plain,
% 0.58/0.79 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(ld(X1!0, X1!0), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(ld(X1!0, X1!0), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.58/0.79 inference(symmetry,[status(thm)],[187])).
% 0.58/0.79 tff(189,plain,
% 0.58/0.79 (rd(mult(X1!0, ld(X1!0, X1!0)), X1!0) = rd(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), X1!0), X1!0)),
% 0.58/0.79 inference(symmetry,[status(thm)],[120])).
% 0.58/0.79 tff(190,plain,
% 0.58/0.79 (rd(mult(X1!0, ld(X1!0, X1!0)), X1!0) = mult(ld(X1!0, X1!0), ld(X1!0, X1!0))),
% 0.58/0.79 inference(transitivity,[status(thm)],[189, 122])).
% 0.58/0.79 tff(191,plain,
% 0.58/0.79 (mult(ld(ld(X1!0, X1!0), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(ld(ld(X1!0, X1!0), X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0)))),
% 0.58/0.79 inference(monotonicity,[status(thm)],[190])).
% 0.58/0.79 tff(192,plain,
% 0.58/0.79 (mult(ld(ld(X1!0, X1!0), X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0))) = mult(ld(ld(X1!0, X1!0), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.58/0.79 inference(symmetry,[status(thm)],[191])).
% 0.58/0.79 tff(193,plain,
% 0.58/0.79 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0))))) = mult(ld(ld(X1!0, X1!0), X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0))))),
% 0.58/0.79 inference(quant_inst,[status(thm)],[])).
% 0.58/0.79 tff(194,plain,
% 0.58/0.79 (ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0))))) = mult(ld(ld(X1!0, X1!0), X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0)))),
% 0.58/0.79 inference(unit_resolution,[status(thm)],[193, 26])).
% 0.58/0.79 tff(195,plain,
% 0.58/0.79 (mult(mult(ld(X1!0, X1!0), ld(ld(X1!0, X1!0), X1!0)), ld(X1!0, X1!0)) = mult(X1!0, ld(X1!0, X1!0))),
% 0.58/0.79 inference(monotonicity,[status(thm)],[177])).
% 0.58/0.79 tff(196,plain,
% 0.58/0.79 (mult(mult(ld(X1!0, X1!0), ld(ld(X1!0, X1!0), X1!0)), ld(X1!0, X1!0)) = X1!0),
% 0.58/0.79 inference(transitivity,[status(thm)],[195, 18])).
% 0.58/0.79 tff(197,plain,
% 0.58/0.79 (mult(mult(mult(ld(X1!0, X1!0), ld(ld(X1!0, X1!0), X1!0)), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = mult(X1!0, ld(X1!0, X1!0))),
% 0.58/0.79 inference(monotonicity,[status(thm)],[196])).
% 0.58/0.79 tff(198,plain,
% 0.58/0.79 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(ld(X1!0, X1!0), ld(ld(X1!0, X1!0), X1!0)), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0)))))),
% 0.58/0.79 inference(quant_inst,[status(thm)],[])).
% 0.58/0.79 tff(199,plain,
% 0.58/0.79 (mult(mult(mult(ld(X1!0, X1!0), ld(ld(X1!0, X1!0), X1!0)), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0))))),
% 0.58/0.79 inference(unit_resolution,[status(thm)],[198, 57])).
% 0.58/0.79 tff(200,plain,
% 0.58/0.79 (mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0)))) = mult(mult(mult(ld(X1!0, X1!0), ld(ld(X1!0, X1!0), X1!0)), ld(X1!0, X1!0)), ld(X1!0, X1!0))),
% 0.58/0.79 inference(symmetry,[status(thm)],[199])).
% 0.58/0.79 tff(201,plain,
% 0.58/0.79 (mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0)))) = X1!0),
% 0.58/0.79 inference(transitivity,[status(thm)],[200, 197, 18])).
% 0.58/0.79 tff(202,plain,
% 0.58/0.79 (ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0))))) = ld(ld(X1!0, X1!0), X1!0)),
% 0.58/0.79 inference(monotonicity,[status(thm)],[201])).
% 0.58/0.79 tff(203,plain,
% 0.58/0.79 (ld(ld(X1!0, X1!0), X1!0) = ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0)))))),
% 0.58/0.79 inference(symmetry,[status(thm)],[202])).
% 0.58/0.79 tff(204,plain,
% 0.58/0.79 (ld(ld(X1!0, X1!0), X1!0) = mult(ld(ld(X1!0, X1!0), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.58/0.79 inference(transitivity,[status(thm)],[203, 194, 192])).
% 0.58/0.79 tff(205,plain,
% 0.58/0.79 (mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(ld(X1!0, X1!0), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(ld(X1!0, X1!0), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.58/0.79 inference(monotonicity,[status(thm)],[124, 204])).
% 0.58/0.79 tff(206,plain,
% 0.58/0.79 (mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(ld(X1!0, X1!0), X1!0)) = mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.58/0.79 inference(transitivity,[status(thm)],[205, 188, 185, 175])).
% 0.58/0.79 tff(207,plain,
% 0.58/0.79 (mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(ld(X1!0, X1!0), X1!0)), ld(X1!0, X1!0)) = mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.58/0.79 inference(monotonicity,[status(thm)],[206, 164])).
% 0.58/0.79 tff(208,plain,
% 0.58/0.79 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(ld(X1!0, X1!0), X1!0)), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), ld(X1!0, X1!0)))))),
% 0.58/0.79 inference(quant_inst,[status(thm)],[])).
% 0.58/0.79 tff(209,plain,
% 0.58/0.79 (mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(ld(X1!0, X1!0), X1!0)), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), ld(X1!0, X1!0))))),
% 0.58/0.79 inference(unit_resolution,[status(thm)],[208, 57])).
% 0.58/0.79 tff(210,plain,
% 0.58/0.79 (mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), ld(X1!0, X1!0)))) = mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(ld(X1!0, X1!0), X1!0)), ld(X1!0, X1!0))),
% 0.58/0.79 inference(symmetry,[status(thm)],[209])).
% 0.58/0.79 tff(211,plain,
% 0.58/0.79 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0)), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0)))),
% 0.58/0.79 inference(quant_inst,[status(thm)],[])).
% 0.58/0.79 tff(212,plain,
% 0.58/0.79 (rd(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0)), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0))),
% 0.58/0.79 inference(unit_resolution,[status(thm)],[211, 7])).
% 0.58/0.79 tff(213,plain,
% 0.58/0.79 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.58/0.79 inference(monotonicity,[status(thm)],[124])).
% 0.58/0.79 tff(214,plain,
% 0.58/0.79 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0))) = ld(X1!0, X1!0)),
% 0.58/0.79 inference(transitivity,[status(thm)],[213, 79, 76])).
% 0.58/0.79 tff(215,plain,
% 0.58/0.79 (mult(ld(X1!0, X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0)))) = mult(ld(X1!0, X1!0), ld(X1!0, X1!0))),
% 0.58/0.79 inference(monotonicity,[status(thm)],[214])).
% 0.58/0.79 tff(216,plain,
% 0.58/0.79 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0)))))),
% 0.58/0.79 inference(quant_inst,[status(thm)],[])).
% 0.58/0.79 tff(217,plain,
% 0.58/0.79 (mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0))))),
% 0.58/0.79 inference(unit_resolution,[status(thm)],[216, 57])).
% 0.58/0.79 tff(218,plain,
% 0.58/0.79 (mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), ld(X1!0, X1!0))),
% 0.58/0.79 inference(transitivity,[status(thm)],[217, 215])).
% 0.58/0.79 tff(219,plain,
% 0.58/0.79 (rd(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0)), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))),
% 0.58/0.79 inference(monotonicity,[status(thm)],[218])).
% 0.58/0.79 tff(220,plain,
% 0.58/0.79 (rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = rd(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0)), ld(X1!0, X1!0)), ld(X1!0, X1!0))),
% 0.58/0.79 inference(symmetry,[status(thm)],[219])).
% 0.58/0.79 tff(221,plain,
% 0.58/0.79 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = ld(X1!0, X1!0))),
% 0.58/0.79 inference(quant_inst,[status(thm)],[])).
% 0.58/0.79 tff(222,plain,
% 0.58/0.79 (rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = ld(X1!0, X1!0)),
% 0.58/0.79 inference(unit_resolution,[status(thm)],[221, 7])).
% 0.58/0.79 tff(223,plain,
% 0.58/0.79 (ld(X1!0, X1!0) = rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))),
% 0.58/0.79 inference(symmetry,[status(thm)],[222])).
% 0.58/0.79 tff(224,plain,
% 0.58/0.79 (ld(X1!0, X1!0) = mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0))),
% 0.58/0.79 inference(transitivity,[status(thm)],[223, 220, 212])).
% 0.58/0.79 tff(225,plain,
% 0.58/0.79 (mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), X1!0)) = X1!0),
% 0.58/0.79 inference(transitivity,[status(thm)],[109, 106, 98])).
% 0.58/0.79 tff(226,plain,
% 0.58/0.79 (ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), X1!0))) = ld(ld(X1!0, X1!0), X1!0)),
% 0.58/0.79 inference(monotonicity,[status(thm)],[225])).
% 0.58/0.79 tff(227,plain,
% 0.58/0.79 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), X1!0))) = mult(ld(X1!0, X1!0), X1!0))),
% 0.58/0.79 inference(quant_inst,[status(thm)],[])).
% 0.58/0.79 tff(228,plain,
% 0.58/0.79 (ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), X1!0))) = mult(ld(X1!0, X1!0), X1!0)),
% 0.58/0.79 inference(unit_resolution,[status(thm)],[227, 26])).
% 0.58/0.79 tff(229,plain,
% 0.58/0.79 (mult(ld(X1!0, X1!0), X1!0) = ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), X1!0)))),
% 0.58/0.79 inference(symmetry,[status(thm)],[228])).
% 0.58/0.79 tff(230,plain,
% 0.58/0.79 (mult(ld(X1!0, X1!0), X1!0) = ld(ld(X1!0, X1!0), X1!0)),
% 0.58/0.79 inference(transitivity,[status(thm)],[229, 226])).
% 0.58/0.79 tff(231,plain,
% 0.58/0.79 (mult(mult(ld(X1!0, X1!0), X1!0), ld(X1!0, X1!0)) = mult(ld(ld(X1!0, X1!0), X1!0), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0)))),
% 0.58/0.79 inference(monotonicity,[status(thm)],[230, 224])).
% 0.58/0.79 tff(232,plain,
% 0.58/0.79 (ld(ld(X1!0, X1!0), X1!0) = ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), X1!0)))),
% 0.58/0.79 inference(symmetry,[status(thm)],[226])).
% 0.58/0.79 tff(233,plain,
% 0.58/0.79 (ld(ld(X1!0, X1!0), X1!0) = mult(ld(X1!0, X1!0), X1!0)),
% 0.58/0.79 inference(transitivity,[status(thm)],[232, 228])).
% 0.58/0.79 tff(234,plain,
% 0.58/0.79 (mult(ld(ld(X1!0, X1!0), X1!0), ld(X1!0, X1!0)) = mult(mult(ld(X1!0, X1!0), X1!0), ld(X1!0, X1!0))),
% 0.58/0.79 inference(monotonicity,[status(thm)],[233])).
% 0.58/0.79 tff(235,plain,
% 0.58/0.79 (mult(ld(ld(X1!0, X1!0), X1!0), ld(X1!0, X1!0)) = mult(ld(ld(X1!0, X1!0), X1!0), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0)))),
% 0.58/0.79 inference(transitivity,[status(thm)],[234, 231])).
% 0.58/0.79 tff(236,plain,
% 0.58/0.79 (mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), ld(X1!0, X1!0))) = mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0))))),
% 0.58/0.79 inference(monotonicity,[status(thm)],[235])).
% 0.58/0.79 tff(237,plain,
% 0.58/0.79 (mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0)))) = mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), ld(X1!0, X1!0)))),
% 0.58/0.79 inference(symmetry,[status(thm)],[236])).
% 0.58/0.79 tff(238,plain,
% 0.58/0.79 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(ld(X1!0, X1!0), ld(ld(X1!0, X1!0), X1!0)), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0)))))),
% 0.58/0.79 inference(quant_inst,[status(thm)],[])).
% 0.58/0.79 tff(239,plain,
% 0.58/0.79 (mult(mult(mult(ld(X1!0, X1!0), ld(ld(X1!0, X1!0), X1!0)), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0))))),
% 0.58/0.79 inference(unit_resolution,[status(thm)],[238, 57])).
% 0.58/0.79 tff(240,plain,
% 0.58/0.79 (mult(mult(ld(X1!0, X1!0), ld(ld(X1!0, X1!0), X1!0)), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.63/0.80 inference(monotonicity,[status(thm)],[177])).
% 0.63/0.80 tff(241,plain,
% 0.63/0.80 (mult(mult(mult(ld(X1!0, X1!0), ld(ld(X1!0, X1!0), X1!0)), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)) = mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.63/0.80 inference(monotonicity,[status(thm)],[240, 164])).
% 0.63/0.80 tff(242,plain,
% 0.63/0.80 (mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(mult(mult(ld(X1!0, X1!0), ld(ld(X1!0, X1!0), X1!0)), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0))),
% 0.63/0.80 inference(symmetry,[status(thm)],[241])).
% 0.63/0.80 tff(243,plain,
% 0.63/0.80 (mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), ld(X1!0, X1!0)))),
% 0.63/0.80 inference(transitivity,[status(thm)],[172, 242, 239, 237])).
% 0.63/0.80 tff(244,plain,
% 0.63/0.80 (mult(ld(X1!0, X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0))) = mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), ld(X1!0, X1!0))))),
% 0.63/0.80 inference(monotonicity,[status(thm)],[243])).
% 0.63/0.80 tff(245,plain,
% 0.63/0.80 (mult(ld(X1!0, X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0))) = mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0))),
% 0.63/0.80 inference(transitivity,[status(thm)],[244, 210, 207, 173])).
% 0.63/0.80 tff(246,plain,
% 0.63/0.80 (mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)))) = mult(ld(X1!0, X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)))),
% 0.63/0.80 inference(monotonicity,[status(thm)],[245])).
% 0.63/0.80 tff(247,plain,
% 0.63/0.80 (mult(ld(X1!0, X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0))) = mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0))))),
% 0.63/0.80 inference(symmetry,[status(thm)],[246])).
% 0.63/0.80 tff(248,plain,
% 0.63/0.80 (mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), ld(X1!0, X1!0)))) = mult(ld(X1!0, X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)))),
% 0.63/0.80 inference(symmetry,[status(thm)],[244])).
% 0.63/0.80 tff(249,plain,
% 0.63/0.80 (mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(ld(X1!0, X1!0), X1!0)), ld(X1!0, X1!0))),
% 0.63/0.80 inference(symmetry,[status(thm)],[207])).
% 0.63/0.80 tff(250,plain,
% 0.63/0.80 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.63/0.80 inference(quant_inst,[status(thm)],[])).
% 0.63/0.80 tff(251,plain,
% 0.63/0.80 (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.63/0.80 inference(unit_resolution,[status(thm)],[250, 26])).
% 0.63/0.80 tff(252,plain,
% 0.63/0.80 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.63/0.80 inference(symmetry,[status(thm)],[147])).
% 0.63/0.80 tff(253,plain,
% 0.63/0.80 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), X1!0), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.63/0.80 inference(symmetry,[status(thm)],[143])).
% 0.63/0.80 tff(254,plain,
% 0.63/0.80 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.63/0.80 inference(transitivity,[status(thm)],[253, 252])).
% 0.63/0.80 tff(255,plain,
% 0.63/0.80 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.63/0.80 inference(monotonicity,[status(thm)],[254])).
% 0.63/0.80 tff(256,plain,
% 0.63/0.80 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = X1!0),
% 0.63/0.80 inference(transitivity,[status(thm)],[255, 64, 61, 44])).
% 0.63/0.80 tff(257,plain,
% 0.63/0.80 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.63/0.80 inference(monotonicity,[status(thm)],[256])).
% 0.63/0.80 tff(258,plain,
% 0.63/0.80 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.63/0.80 inference(quant_inst,[status(thm)],[])).
% 0.63/0.80 tff(259,plain,
% 0.63/0.80 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.63/0.80 inference(unit_resolution,[status(thm)],[258, 57])).
% 0.63/0.80 tff(260,plain,
% 0.63/0.80 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.63/0.80 inference(symmetry,[status(thm)],[259])).
% 0.63/0.80 tff(261,plain,
% 0.63/0.80 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.63/0.80 inference(transitivity,[status(thm)],[260, 257, 147, 143])).
% 0.63/0.80 tff(262,plain,
% 0.63/0.80 (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.63/0.80 inference(monotonicity,[status(thm)],[261])).
% 0.63/0.80 tff(263,plain,
% 0.63/0.80 (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.63/0.80 inference(symmetry,[status(thm)],[262])).
% 0.63/0.80 tff(264,plain,
% 0.63/0.80 (mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.63/0.80 inference(symmetry,[status(thm)],[175])).
% 0.63/0.80 tff(265,plain,
% 0.63/0.80 (mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)),
% 0.63/0.80 inference(transitivity,[status(thm)],[264, 263, 251, 249, 209, 248, 247, 171, 168, 139, 136, 91])).
% 0.63/0.80 tff(266,plain,
% 0.63/0.80 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)) = mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0))),
% 0.63/0.80 inference(monotonicity,[status(thm)],[190])).
% 0.63/0.80 tff(267,plain,
% 0.63/0.80 (mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0))),
% 0.63/0.80 inference(symmetry,[status(thm)],[266])).
% 0.63/0.80 tff(268,plain,
% 0.63/0.80 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)))),
% 0.63/0.80 inference(quant_inst,[status(thm)],[])).
% 0.63/0.80 tff(269,plain,
% 0.63/0.80 (rd(mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0))),
% 0.63/0.80 inference(unit_resolution,[status(thm)],[268, 7])).
% 0.63/0.80 tff(270,plain,
% 0.63/0.80 (mult(ld(X1!0, X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, ld(X1!0, X1!0)))) = mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), ld(X1!0, X1!0))),
% 0.63/0.80 inference(symmetry,[status(thm)],[133])).
% 0.63/0.80 tff(271,plain,
% 0.63/0.80 (mult(ld(X1!0, X1!0), X1!0) = mult(ld(X1!0, X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, ld(X1!0, X1!0))))),
% 0.63/0.80 inference(symmetry,[status(thm)],[131])).
% 0.63/0.80 tff(272,plain,
% 0.63/0.80 (mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), ld(X1!0, X1!0)) = ld(ld(X1!0, X1!0), X1!0)),
% 0.63/0.80 inference(transitivity,[status(thm)],[133, 131, 229, 226])).
% 0.63/0.80 tff(273,plain,
% 0.63/0.80 (mult(ld(X1!0, X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), ld(X1!0, X1!0))) = mult(ld(X1!0, X1!0), ld(ld(X1!0, X1!0), X1!0))),
% 0.63/0.80 inference(monotonicity,[status(thm)],[272])).
% 0.63/0.80 tff(274,plain,
% 0.63/0.80 (mult(ld(X1!0, X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), ld(X1!0, X1!0))) = X1!0),
% 0.63/0.80 inference(transitivity,[status(thm)],[273, 177])).
% 0.63/0.80 tff(275,plain,
% 0.63/0.80 (mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), ld(X1!0, X1!0)))) = mult(ld(X1!0, X1!0), X1!0)),
% 0.63/0.80 inference(monotonicity,[status(thm)],[274])).
% 0.63/0.80 tff(276,plain,
% 0.63/0.80 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), ld(X1!0, X1!0)))))),
% 0.63/0.80 inference(quant_inst,[status(thm)],[])).
% 0.63/0.80 tff(277,plain,
% 0.63/0.80 (mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), ld(X1!0, X1!0))))),
% 0.63/0.81 inference(unit_resolution,[status(thm)],[276, 57])).
% 0.63/0.81 tff(278,plain,
% 0.63/0.81 (mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)), ld(X1!0, X1!0)) = mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), ld(X1!0, X1!0))),
% 0.63/0.81 inference(transitivity,[status(thm)],[277, 275, 271, 270])).
% 0.63/0.81 tff(279,plain,
% 0.63/0.81 (rd(mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = rd(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))),
% 0.63/0.81 inference(monotonicity,[status(thm)],[278])).
% 0.63/0.81 tff(280,plain,
% 0.63/0.81 (rd(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = rd(mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)), ld(X1!0, X1!0)), ld(X1!0, X1!0))),
% 0.63/0.81 inference(symmetry,[status(thm)],[279])).
% 0.63/0.81 tff(281,plain,
% 0.63/0.81 (mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0))),
% 0.63/0.81 inference(transitivity,[status(thm)],[264, 263, 251, 173])).
% 0.63/0.81 tff(282,plain,
% 0.63/0.81 (mult(ld(X1!0, X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(ld(X1!0, X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)))),
% 0.63/0.81 inference(monotonicity,[status(thm)],[281])).
% 0.63/0.81 tff(283,plain,
% 0.63/0.81 (mult(ld(X1!0, X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0))),
% 0.63/0.81 inference(transitivity,[status(thm)],[282, 247, 171, 168, 139, 136, 280, 269, 267])).
% 0.63/0.81 tff(284,plain,
% 0.63/0.81 (rd(mult(ld(X1!0, X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = rd(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0))),
% 0.63/0.81 inference(monotonicity,[status(thm)],[283, 265])).
% 0.63/0.81 tff(285,plain,
% 0.63/0.81 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(ld(X1!0, X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = ld(X1!0, X1!0))),
% 0.63/0.81 inference(quant_inst,[status(thm)],[])).
% 0.63/0.81 tff(286,plain,
% 0.63/0.81 (rd(mult(ld(X1!0, X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = ld(X1!0, X1!0)),
% 0.63/0.81 inference(unit_resolution,[status(thm)],[285, 7])).
% 0.63/0.81 tff(287,plain,
% 0.63/0.81 (ld(X1!0, X1!0) = rd(mult(ld(X1!0, X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.63/0.81 inference(symmetry,[status(thm)],[286])).
% 0.63/0.81 tff(288,plain,
% 0.63/0.81 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)),
% 0.63/0.81 inference(transitivity,[status(thm)],[79, 76, 287, 284, 89])).
% 0.63/0.81 tff(289,plain,
% 0.63/0.81 (mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.63/0.81 inference(monotonicity,[status(thm)],[288])).
% 0.63/0.81 tff(290,plain,
% 0.63/0.81 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.63/0.81 inference(monotonicity,[status(thm)],[289])).
% 0.63/0.81 tff(291,plain,
% 0.63/0.81 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.63/0.81 inference(quant_inst,[status(thm)],[])).
% 0.63/0.81 tff(292,plain,
% 0.63/0.81 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.63/0.81 inference(unit_resolution,[status(thm)],[291, 57])).
% 0.63/0.81 tff(293,plain,
% 0.63/0.81 (rd(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)) = rd(mult(ld(X1!0, X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.63/0.81 inference(symmetry,[status(thm)],[284])).
% 0.63/0.81 tff(294,plain,
% 0.63/0.81 (rd(mult(X1!0, ld(X1!0, X1!0)), X1!0) = rd(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0))),
% 0.63/0.81 inference(symmetry,[status(thm)],[89])).
% 0.63/0.81 tff(295,plain,
% 0.63/0.81 (rd(mult(X1!0, ld(X1!0, X1!0)), X1!0) = ld(X1!0, X1!0)),
% 0.63/0.81 inference(transitivity,[status(thm)],[294, 293, 286])).
% 0.63/0.81 tff(296,plain,
% 0.63/0.81 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))) = mult(ld(X1!0, X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))),
% 0.63/0.81 inference(monotonicity,[status(thm)],[295])).
% 0.63/0.81 tff(297,plain,
% 0.63/0.81 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(ld(X1!0, X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.63/0.81 inference(monotonicity,[status(thm)],[296])).
% 0.63/0.81 tff(298,plain,
% 0.63/0.81 (mult(mult(ld(X1!0, X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.63/0.81 inference(symmetry,[status(thm)],[297])).
% 0.63/0.81 tff(299,plain,
% 0.63/0.81 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.63/0.81 inference(transitivity,[status(thm)],[87, 84, 298])).
% 0.63/0.81 tff(300,plain,
% 0.63/0.81 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.63/0.81 inference(monotonicity,[status(thm)],[299, 288])).
% 0.63/0.81 tff(301,plain,
% 0.63/0.81 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.63/0.81 inference(transitivity,[status(thm)],[300, 292, 290])).
% 0.63/0.81 tff(302,plain,
% 0.63/0.81 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.63/0.81 inference(monotonicity,[status(thm)],[301])).
% 0.63/0.81 tff(303,plain,
% 0.63/0.81 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.63/0.81 inference(quant_inst,[status(thm)],[])).
% 0.63/0.81 tff(304,plain,
% 0.63/0.81 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.63/0.81 inference(unit_resolution,[status(thm)],[303, 57])).
% 0.63/0.81 tff(305,plain,
% 0.63/0.81 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(ld(X1!0, X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.63/0.81 inference(transitivity,[status(thm)],[304, 302, 87, 84])).
% 0.63/0.81 tff(306,plain,
% 0.63/0.81 (rd(mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = rd(mult(mult(ld(X1!0, X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.63/0.81 inference(monotonicity,[status(thm)],[305])).
% 0.63/0.81 tff(307,plain,
% 0.63/0.81 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.63/0.81 inference(quant_inst,[status(thm)],[])).
% 0.63/0.81 tff(308,plain,
% 0.63/0.81 (rd(mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.63/0.82 inference(unit_resolution,[status(thm)],[307, 7])).
% 0.63/0.82 tff(309,plain,
% 0.63/0.82 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = rd(mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.63/0.82 inference(symmetry,[status(thm)],[308])).
% 0.63/0.82 tff(310,plain,
% 0.63/0.82 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.63/0.82 inference(monotonicity,[status(thm)],[288])).
% 0.63/0.82 tff(311,plain,
% 0.63/0.82 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.63/0.82 inference(monotonicity,[status(thm)],[310])).
% 0.63/0.82 tff(312,plain,
% 0.63/0.82 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.63/0.82 inference(quant_inst,[status(thm)],[])).
% 0.63/0.82 tff(313,plain,
% 0.63/0.82 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.63/0.82 inference(unit_resolution,[status(thm)],[312, 57])).
% 0.63/0.82 tff(314,plain,
% 0.63/0.82 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.63/0.82 inference(symmetry,[status(thm)],[313])).
% 0.63/0.82 tff(315,plain,
% 0.63/0.82 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.63/0.82 inference(monotonicity,[status(thm)],[299])).
% 0.63/0.82 tff(316,plain,
% 0.63/0.82 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.63/0.82 inference(transitivity,[status(thm)],[315, 292, 290])).
% 0.63/0.82 tff(317,plain,
% 0.63/0.82 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.63/0.82 inference(monotonicity,[status(thm)],[316])).
% 0.63/0.82 tff(318,plain,
% 0.63/0.82 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.63/0.82 inference(symmetry,[status(thm)],[317])).
% 0.63/0.82 tff(319,plain,
% 0.63/0.82 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.63/0.82 inference(monotonicity,[status(thm)],[318])).
% 0.63/0.82 tff(320,plain,
% 0.63/0.82 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = mult(ld(X1!0, X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))),
% 0.63/0.82 inference(transitivity,[status(thm)],[319, 314, 311, 309, 306, 30])).
% 0.63/0.82 tff(321,plain,
% 0.63/0.82 (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))) = ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))),
% 0.63/0.82 inference(monotonicity,[status(thm)],[295, 320])).
% 0.63/0.82 tff(322,plain,
% 0.63/0.82 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.63/0.82 inference(quant_inst,[status(thm)],[])).
% 0.63/0.82 tff(323,plain,
% 0.63/0.82 (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.63/0.82 inference(unit_resolution,[status(thm)],[322, 26])).
% 0.63/0.82 tff(324,plain,
% 0.63/0.82 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))))),
% 0.63/0.82 inference(symmetry,[status(thm)],[323])).
% 0.63/0.82 tff(325,plain,
% 0.63/0.82 (ld(X1!0, X1!0) = rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)),
% 0.63/0.82 inference(transitivity,[status(thm)],[287, 284, 89])).
% 0.63/0.82 tff(326,plain,
% 0.63/0.82 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))))),
% 0.63/0.82 inference(quant_inst,[status(thm)],[])).
% 0.63/0.82 tff(327,plain,
% 0.63/0.82 (rd(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.63/0.82 inference(unit_resolution,[status(thm)],[326, 7])).
% 0.63/0.82 tff(328,plain,
% 0.63/0.82 (rd(mult(mult(ld(X1!0, X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = rd(mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.63/0.82 inference(symmetry,[status(thm)],[306])).
% 0.63/0.82 tff(329,plain,
% 0.63/0.82 (mult(ld(X1!0, X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))) = rd(mult(mult(ld(X1!0, X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.63/0.82 inference(symmetry,[status(thm)],[30])).
% 0.63/0.82 tff(330,plain,
% 0.63/0.82 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(ld(X1!0, X1!0), X0!1), X1!0), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))),
% 0.63/0.82 inference(quant_inst,[status(thm)],[])).
% 0.63/0.82 tff(331,plain,
% 0.63/0.82 (mult(mult(mult(ld(X1!0, X1!0), X0!1), X1!0), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))),
% 0.63/0.82 inference(unit_resolution,[status(thm)],[330, 57])).
% 0.63/0.82 tff(332,plain,
% 0.63/0.82 (mult(mult(mult(ld(X1!0, X1!0), X0!1), X1!0), ld(X1!0, X1!0)) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.63/0.82 inference(transitivity,[status(thm)],[331, 329, 328, 308])).
% 0.63/0.83 tff(333,plain,
% 0.63/0.83 (rd(mult(mult(mult(ld(X1!0, X1!0), X0!1), X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = rd(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.63/0.83 inference(monotonicity,[status(thm)],[332, 325])).
% 0.63/0.83 tff(334,plain,
% 0.63/0.83 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(ld(X1!0, X1!0), X0!1), X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = mult(mult(ld(X1!0, X1!0), X0!1), X1!0))),
% 0.63/0.83 inference(quant_inst,[status(thm)],[])).
% 0.63/0.83 tff(335,plain,
% 0.63/0.83 (rd(mult(mult(mult(ld(X1!0, X1!0), X0!1), X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = mult(mult(ld(X1!0, X1!0), X0!1), X1!0)),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[334, 7])).
% 0.63/0.83 tff(336,plain,
% 0.63/0.83 (mult(mult(ld(X1!0, X1!0), X0!1), X1!0) = rd(mult(mult(mult(ld(X1!0, X1!0), X0!1), X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))),
% 0.63/0.83 inference(symmetry,[status(thm)],[335])).
% 0.63/0.83 tff(337,plain,
% 0.63/0.83 (mult(mult(ld(X1!0, X1!0), X0!1), X1!0) = mult(ld(X1!0, X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))),
% 0.63/0.83 inference(transitivity,[status(thm)],[336, 333, 327, 319, 314, 311, 309, 306, 30])).
% 0.63/0.83 tff(338,plain,
% 0.63/0.83 (mult(mult(mult(ld(X1!0, X1!0), X0!1), X1!0), ld(X1!0, X1!0)) = mult(mult(ld(X1!0, X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.63/0.83 inference(monotonicity,[status(thm)],[337, 325])).
% 0.63/0.83 tff(339,plain,
% 0.63/0.83 (mult(ld(X1!0, X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))) = mult(mult(mult(ld(X1!0, X1!0), X0!1), X1!0), ld(X1!0, X1!0))),
% 0.63/0.83 inference(symmetry,[status(thm)],[331])).
% 0.63/0.83 tff(340,plain,
% 0.63/0.83 (mult(mult(ld(X1!0, X1!0), X0!1), X1!0) = mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))),
% 0.63/0.83 inference(transitivity,[status(thm)],[336, 333, 327, 319, 314, 311, 309, 306, 30, 339, 338, 83, 86, 324, 321, 28])).
% 0.63/0.83 tff(341,plain,
% 0.63/0.83 (rd(mult(mult(ld(X1!0, X1!0), X0!1), X1!0), X1!0) = rd(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), mult(X1!0, ld(X1!0, X1!0)))),
% 0.63/0.83 inference(monotonicity,[status(thm)],[340, 19])).
% 0.63/0.83 tff(342,plain,
% 0.63/0.83 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(ld(X1!0, X1!0), X0!1), X1!0), X1!0) = mult(ld(X1!0, X1!0), X0!1))),
% 0.63/0.83 inference(quant_inst,[status(thm)],[])).
% 0.63/0.83 tff(343,plain,
% 0.63/0.83 (rd(mult(mult(ld(X1!0, X1!0), X0!1), X1!0), X1!0) = mult(ld(X1!0, X1!0), X0!1)),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[342, 7])).
% 0.63/0.83 tff(344,plain,
% 0.63/0.83 (mult(ld(X1!0, X1!0), X0!1) = rd(mult(mult(ld(X1!0, X1!0), X0!1), X1!0), X1!0)),
% 0.63/0.83 inference(symmetry,[status(thm)],[343])).
% 0.63/0.83 tff(345,plain,
% 0.63/0.83 (mult(ld(X1!0, X1!0), X0!1) = X0!1),
% 0.63/0.83 inference(transitivity,[status(thm)],[344, 341, 9])).
% 0.63/0.83 tff(346,plain,
% 0.63/0.83 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1)) = X0!1)),
% 0.63/0.83 inference(quant_inst,[status(thm)],[])).
% 0.63/0.83 tff(347,plain,
% 0.63/0.83 (ld(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1)) = X0!1),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[346, 26])).
% 0.63/0.83 tff(348,plain,
% 0.63/0.83 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1))) = mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1))),
% 0.63/0.83 inference(quant_inst,[status(thm)],[])).
% 0.63/0.83 tff(349,plain,
% 0.63/0.83 (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1))) = mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1)),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[348, 26])).
% 0.63/0.83 tff(350,plain,
% 0.63/0.83 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), X0!1), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.63/0.83 inference(quant_inst,[status(thm)],[])).
% 0.63/0.83 tff(351,plain,
% 0.63/0.83 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), X0!1), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[350, 57])).
% 0.63/0.83 tff(352,plain,
% 0.63/0.83 (mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.63/0.83 inference(symmetry,[status(thm)],[251])).
% 0.63/0.83 tff(353,plain,
% 0.63/0.83 (mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0) = rd(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))),
% 0.63/0.83 inference(symmetry,[status(thm)],[91])).
% 0.63/0.83 tff(354,plain,
% 0.63/0.83 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0))),
% 0.63/0.83 inference(quant_inst,[status(thm)],[])).
% 0.63/0.83 tff(355,plain,
% 0.63/0.83 (rd(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[354, 7])).
% 0.63/0.83 tff(356,plain,
% 0.63/0.83 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.63/0.83 inference(quant_inst,[status(thm)],[])).
% 0.63/0.83 tff(357,plain,
% 0.63/0.83 (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[356, 26])).
% 0.63/0.83 tff(358,plain,
% 0.63/0.83 (mult(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0))),
% 0.63/0.83 inference(monotonicity,[status(thm)],[80])).
% 0.63/0.83 tff(359,plain,
% 0.63/0.83 (mult(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)) = mult(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.63/0.83 inference(symmetry,[status(thm)],[358])).
% 0.63/0.83 tff(360,plain,
% 0.63/0.83 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.63/0.83 inference(monotonicity,[status(thm)],[359])).
% 0.63/0.83 tff(361,plain,
% 0.63/0.83 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)))),
% 0.63/0.83 inference(symmetry,[status(thm)],[360])).
% 0.63/0.83 tff(362,plain,
% 0.63/0.83 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.63/0.83 inference(quant_inst,[status(thm)],[])).
% 0.63/0.83 tff(363,plain,
% 0.63/0.83 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[362, 57])).
% 0.63/0.83 tff(364,plain,
% 0.63/0.83 (mult(ld(ld(X1!0, X1!0), X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0))) = ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0)))))),
% 0.63/0.83 inference(symmetry,[status(thm)],[194])).
% 0.63/0.83 tff(365,plain,
% 0.63/0.83 (mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)) = rd(mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)), ld(X1!0, X1!0)), ld(X1!0, X1!0))),
% 0.63/0.83 inference(symmetry,[status(thm)],[269])).
% 0.63/0.83 tff(366,plain,
% 0.63/0.83 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)) = mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)),
% 0.63/0.83 inference(transitivity,[status(thm)],[266, 365, 279, 91])).
% 0.63/0.83 tff(367,plain,
% 0.63/0.83 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)), ld(X1!0, X1!0)) = mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), ld(X1!0, X1!0))),
% 0.63/0.83 inference(monotonicity,[status(thm)],[366])).
% 0.63/0.83 tff(368,plain,
% 0.63/0.83 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)), ld(X1!0, X1!0)) = ld(ld(X1!0, X1!0), X1!0)),
% 0.63/0.83 inference(transitivity,[status(thm)],[367, 133, 131, 229, 226])).
% 0.63/0.83 tff(369,plain,
% 0.63/0.83 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(ld(ld(X1!0, X1!0), X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0)))),
% 0.63/0.83 inference(monotonicity,[status(thm)],[368, 190])).
% 0.63/0.83 tff(370,plain,
% 0.63/0.83 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.63/0.83 inference(quant_inst,[status(thm)],[])).
% 0.63/0.83 tff(371,plain,
% 0.63/0.83 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[370, 57])).
% 0.63/0.83 tff(372,plain,
% 0.63/0.83 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.63/0.83 inference(symmetry,[status(thm)],[371])).
% 0.63/0.83 tff(373,plain,
% 0.63/0.83 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = ld(ld(X1!0, X1!0), X1!0)),
% 0.63/0.83 inference(transitivity,[status(thm)],[372, 369, 364, 202])).
% 0.63/0.83 tff(374,plain,
% 0.63/0.83 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(ld(ld(X1!0, X1!0), X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0)))),
% 0.63/0.83 inference(monotonicity,[status(thm)],[373, 190])).
% 0.63/0.83 tff(375,plain,
% 0.63/0.83 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = ld(ld(X1!0, X1!0), X1!0)),
% 0.63/0.83 inference(transitivity,[status(thm)],[374, 364, 202])).
% 0.63/0.83 tff(376,plain,
% 0.63/0.83 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(ld(ld(X1!0, X1!0), X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0)))),
% 0.63/0.84 inference(monotonicity,[status(thm)],[375, 190])).
% 0.63/0.84 tff(377,plain,
% 0.63/0.84 (mult(ld(ld(X1!0, X1!0), X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0))) = mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.63/0.84 inference(symmetry,[status(thm)],[376])).
% 0.63/0.84 tff(378,plain,
% 0.63/0.84 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)))),
% 0.63/0.84 inference(transitivity,[status(thm)],[372, 369, 377, 363, 361])).
% 0.63/0.84 tff(379,plain,
% 0.63/0.84 (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0))))),
% 0.63/0.84 inference(monotonicity,[status(thm)],[378])).
% 0.63/0.84 tff(380,plain,
% 0.63/0.84 (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)))) = ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.63/0.84 inference(symmetry,[status(thm)],[379])).
% 0.63/0.84 tff(381,plain,
% 0.63/0.84 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)))) = mult(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)))),
% 0.63/0.84 inference(quant_inst,[status(thm)],[])).
% 0.63/0.84 tff(382,plain,
% 0.63/0.84 (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)))) = mult(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[381, 26])).
% 0.63/0.84 tff(383,plain,
% 0.63/0.84 (mult(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)) = ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0))))),
% 0.63/0.84 inference(symmetry,[status(thm)],[382])).
% 0.63/0.84 tff(384,plain,
% 0.63/0.84 (mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.63/0.84 inference(monotonicity,[status(thm)],[124])).
% 0.63/0.84 tff(385,plain,
% 0.63/0.84 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.63/0.84 inference(symmetry,[status(thm)],[384])).
% 0.63/0.84 tff(386,plain,
% 0.63/0.84 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.63/0.84 inference(quant_inst,[status(thm)],[])).
% 0.63/0.84 tff(387,plain,
% 0.63/0.84 (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[386, 26])).
% 0.63/0.84 tff(388,plain,
% 0.63/0.84 (mult(ld(ld(X1!0, X1!0), X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0))) = mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.63/0.84 inference(symmetry,[status(thm)],[369])).
% 0.63/0.84 tff(389,plain,
% 0.63/0.84 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0) = mult(ld(X1!0, X1!0), X1!0)),
% 0.63/0.84 inference(monotonicity,[status(thm)],[80])).
% 0.63/0.84 tff(390,plain,
% 0.63/0.84 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0) = ld(ld(X1!0, X1!0), X1!0)),
% 0.63/0.84 inference(transitivity,[status(thm)],[389, 229, 226])).
% 0.63/0.84 tff(391,plain,
% 0.63/0.84 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(ld(ld(X1!0, X1!0), X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0)))),
% 0.63/0.84 inference(monotonicity,[status(thm)],[390, 190])).
% 0.63/0.84 tff(392,plain,
% 0.63/0.84 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.63/0.84 inference(quant_inst,[status(thm)],[])).
% 0.63/0.84 tff(393,plain,
% 0.63/0.84 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[392, 57])).
% 0.63/0.84 tff(394,plain,
% 0.63/0.84 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.63/0.84 inference(symmetry,[status(thm)],[393])).
% 0.63/0.84 tff(395,plain,
% 0.63/0.84 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.63/0.84 inference(transitivity,[status(thm)],[394, 391, 388, 371])).
% 0.63/0.84 tff(396,plain,
% 0.63/0.84 (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.63/0.84 inference(monotonicity,[status(thm)],[395])).
% 0.63/0.84 tff(397,plain,
% 0.63/0.84 (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.63/0.84 inference(symmetry,[status(thm)],[396])).
% 0.63/0.84 tff(398,plain,
% 0.63/0.84 (mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.63/0.84 inference(symmetry,[status(thm)],[357])).
% 0.63/0.84 tff(399,plain,
% 0.63/0.84 (mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.63/0.84 inference(transitivity,[status(thm)],[398, 397, 387, 385])).
% 0.63/0.84 tff(400,plain,
% 0.63/0.84 (mult(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)) = mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0))),
% 0.63/0.84 inference(monotonicity,[status(thm)],[399])).
% 0.63/0.84 tff(401,plain,
% 0.63/0.84 (mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)) = mult(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0))),
% 0.63/0.84 inference(symmetry,[status(thm)],[400])).
% 0.63/0.84 tff(402,plain,
% 0.63/0.84 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0)))))),
% 0.63/0.84 inference(quant_inst,[status(thm)],[])).
% 0.63/0.84 tff(403,plain,
% 0.63/0.84 (mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0))))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[402, 57])).
% 0.63/0.84 tff(404,plain,
% 0.63/0.84 (mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0)))) = mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0))),
% 0.63/0.84 inference(symmetry,[status(thm)],[403])).
% 0.63/0.84 tff(405,plain,
% 0.63/0.84 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(ld(X1!0, X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.63/0.84 inference(symmetry,[status(thm)],[165])).
% 0.63/0.84 tff(406,plain,
% 0.63/0.84 (rd(mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = rd(mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.63/0.84 inference(symmetry,[status(thm)],[159])).
% 0.63/0.84 tff(407,plain,
% 0.63/0.84 (mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = rd(mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.63/0.84 inference(symmetry,[status(thm)],[149])).
% 0.63/0.84 tff(408,plain,
% 0.63/0.84 (mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(ld(X1!0, X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.63/0.84 inference(transitivity,[status(thm)],[407, 406, 161, 405])).
% 0.63/0.84 tff(409,plain,
% 0.63/0.84 (mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0)) = mult(mult(ld(X1!0, X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0))),
% 0.63/0.84 inference(monotonicity,[status(thm)],[408])).
% 0.67/0.84 tff(410,plain,
% 0.67/0.84 (mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0)) = mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)),
% 0.67/0.84 inference(transitivity,[status(thm)],[409, 139, 136, 91])).
% 0.67/0.84 tff(411,plain,
% 0.67/0.84 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)) = mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[190])).
% 0.67/0.84 tff(412,plain,
% 0.67/0.84 (mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0))),
% 0.67/0.84 inference(symmetry,[status(thm)],[411])).
% 0.67/0.84 tff(413,plain,
% 0.67/0.84 (mult(ld(X1!0, X1!0), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))) = mult(ld(X1!0, X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[412])).
% 0.67/0.84 tff(414,plain,
% 0.67/0.84 (mult(ld(X1!0, X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0))) = mult(ld(X1!0, X1!0), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)))),
% 0.67/0.84 inference(symmetry,[status(thm)],[413])).
% 0.67/0.84 tff(415,plain,
% 0.67/0.84 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0))))) = mult(ld(X1!0, X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0))))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(416,plain,
% 0.67/0.84 (ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0))))) = mult(ld(X1!0, X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)))),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[415, 26])).
% 0.67/0.84 tff(417,plain,
% 0.67/0.84 (mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[124])).
% 0.67/0.84 tff(418,plain,
% 0.67/0.84 (mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = ld(X1!0, X1!0)),
% 0.67/0.84 inference(transitivity,[status(thm)],[417, 79, 76])).
% 0.67/0.84 tff(419,plain,
% 0.67/0.84 (mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), ld(X1!0, X1!0))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[418])).
% 0.67/0.84 tff(420,plain,
% 0.67/0.84 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)))))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(421,plain,
% 0.67/0.84 (mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0))))),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[420, 57])).
% 0.67/0.84 tff(422,plain,
% 0.67/0.84 (mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)))) = mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0))),
% 0.67/0.84 inference(symmetry,[status(thm)],[421])).
% 0.67/0.84 tff(423,plain,
% 0.67/0.84 (mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)))) = mult(ld(X1!0, X1!0), ld(X1!0, X1!0))),
% 0.67/0.84 inference(transitivity,[status(thm)],[422, 419])).
% 0.67/0.84 tff(424,plain,
% 0.67/0.84 (ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0))))) = ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0)))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[423])).
% 0.67/0.84 tff(425,plain,
% 0.67/0.84 (ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0))) = ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)))))),
% 0.67/0.84 inference(symmetry,[status(thm)],[424])).
% 0.67/0.84 tff(426,plain,
% 0.67/0.84 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0))) = ld(X1!0, X1!0))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(427,plain,
% 0.67/0.85 (ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0))) = ld(X1!0, X1!0)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[426, 26])).
% 0.67/0.85 tff(428,plain,
% 0.67/0.85 (ld(X1!0, X1!0) = ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0)))),
% 0.67/0.85 inference(symmetry,[status(thm)],[427])).
% 0.67/0.85 tff(429,plain,
% 0.67/0.85 (ld(X1!0, X1!0) = mult(ld(X1!0, X1!0), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)))),
% 0.67/0.85 inference(transitivity,[status(thm)],[428, 425, 416, 414])).
% 0.67/0.85 tff(430,plain,
% 0.67/0.85 (mult(ld(X1!0, X1!0), mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0))) = mult(mult(ld(X1!0, X1!0), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[429, 410])).
% 0.67/0.85 tff(431,plain,
% 0.67/0.85 (mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0)))) = mult(ld(X1!0, X1!0), mult(mult(ld(X1!0, X1!0), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[430])).
% 0.67/0.85 tff(432,plain,
% 0.67/0.85 (mult(ld(X1!0, X1!0), mult(mult(ld(X1!0, X1!0), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0))) = mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0))))),
% 0.67/0.85 inference(symmetry,[status(thm)],[431])).
% 0.67/0.85 tff(433,plain,
% 0.67/0.85 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(ld(X1!0, X1!0), X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = mult(mult(ld(X1!0, X1!0), X1!0), ld(X1!0, X1!0)))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(434,plain,
% 0.67/0.85 (rd(mult(mult(mult(ld(X1!0, X1!0), X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = mult(mult(ld(X1!0, X1!0), X1!0), ld(X1!0, X1!0))),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[433, 7])).
% 0.67/0.85 tff(435,plain,
% 0.67/0.85 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(ld(X1!0, X1!0), X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), mult(X1!0, mult(ld(X1!0, X1!0), ld(X1!0, X1!0)))))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(436,plain,
% 0.67/0.85 (mult(mult(mult(ld(X1!0, X1!0), X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), mult(X1!0, mult(ld(X1!0, X1!0), ld(X1!0, X1!0))))),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[435, 57])).
% 0.67/0.85 tff(437,plain,
% 0.67/0.85 (mult(ld(X1!0, X1!0), mult(X1!0, mult(ld(X1!0, X1!0), ld(X1!0, X1!0)))) = mult(mult(mult(ld(X1!0, X1!0), X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))),
% 0.67/0.85 inference(symmetry,[status(thm)],[436])).
% 0.67/0.85 tff(438,plain,
% 0.67/0.85 (mult(X1!0, mult(ld(X1!0, X1!0), ld(X1!0, X1!0))) = mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[124])).
% 0.67/0.85 tff(439,plain,
% 0.67/0.85 (mult(ld(X1!0, X1!0), mult(X1!0, mult(ld(X1!0, X1!0), ld(X1!0, X1!0)))) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[164, 438])).
% 0.67/0.85 tff(440,plain,
% 0.67/0.85 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(ld(X1!0, X1!0), mult(X1!0, mult(ld(X1!0, X1!0), ld(X1!0, X1!0))))),
% 0.67/0.85 inference(symmetry,[status(thm)],[439])).
% 0.67/0.85 tff(441,plain,
% 0.67/0.85 (mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0))))) = mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), X1!0)),
% 0.67/0.85 inference(monotonicity,[status(thm)],[201])).
% 0.67/0.85 tff(442,plain,
% 0.67/0.85 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), ld(ld(X1!0, X1!0), X1!0)), mult(ld(X1!0, X1!0), ld(X1!0, X1!0))) = mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0))))))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(443,plain,
% 0.67/0.85 (mult(mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), ld(ld(X1!0, X1!0), X1!0)), mult(ld(X1!0, X1!0), ld(X1!0, X1!0))) = mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), mult(ld(X1!0, X1!0), ld(X1!0, X1!0)))))),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[442, 57])).
% 0.67/0.85 tff(444,plain,
% 0.67/0.85 (mult(mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), ld(ld(X1!0, X1!0), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), ld(ld(X1!0, X1!0), X1!0)), mult(ld(X1!0, X1!0), ld(X1!0, X1!0)))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[190])).
% 0.67/0.85 tff(445,plain,
% 0.67/0.85 (mult(mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), ld(ld(X1!0, X1!0), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.85 inference(transitivity,[status(thm)],[444, 443, 441, 118, 115, 96, 151, 150, 63])).
% 0.67/0.85 tff(446,plain,
% 0.67/0.85 (rd(mult(mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), ld(ld(X1!0, X1!0), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = rd(mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[445])).
% 0.67/0.85 tff(447,plain,
% 0.67/0.85 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), ld(ld(X1!0, X1!0), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), ld(ld(X1!0, X1!0), X1!0)))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(448,plain,
% 0.67/0.85 (rd(mult(mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), ld(ld(X1!0, X1!0), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), ld(ld(X1!0, X1!0), X1!0))),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[447, 7])).
% 0.67/0.85 tff(449,plain,
% 0.67/0.85 (mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), ld(ld(X1!0, X1!0), X1!0)) = rd(mult(mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), ld(ld(X1!0, X1!0), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.85 inference(symmetry,[status(thm)],[448])).
% 0.67/0.85 tff(450,plain,
% 0.67/0.85 (mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), ld(X1!0, X1!0))) = mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), ld(ld(X1!0, X1!0), X1!0))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[272])).
% 0.67/0.85 tff(451,plain,
% 0.67/0.85 (mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), ld(X1!0, X1!0))) = mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.85 inference(transitivity,[status(thm)],[450, 449, 446, 149])).
% 0.67/0.85 tff(452,plain,
% 0.67/0.85 (mult(ld(X1!0, X1!0), mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), ld(X1!0, X1!0)))) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[164, 451])).
% 0.67/0.85 tff(453,plain,
% 0.67/0.85 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(ld(X1!0, X1!0), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), ld(X1!0, X1!0)))))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(454,plain,
% 0.67/0.85 (mult(mult(mult(ld(X1!0, X1!0), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), ld(X1!0, X1!0))))),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[453, 57])).
% 0.67/0.85 tff(455,plain,
% 0.67/0.85 (mult(mult(mult(ld(X1!0, X1!0), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)), ld(X1!0, X1!0)) = mult(mult(mult(ld(X1!0, X1!0), X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))),
% 0.67/0.85 inference(transitivity,[status(thm)],[454, 452, 440, 437])).
% 0.67/0.85 tff(456,plain,
% 0.67/0.85 (rd(mult(mult(mult(ld(X1!0, X1!0), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = rd(mult(mult(mult(ld(X1!0, X1!0), X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), ld(X1!0, X1!0))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[455])).
% 0.67/0.85 tff(457,plain,
% 0.67/0.85 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(ld(X1!0, X1!0), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = mult(mult(ld(X1!0, X1!0), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(458,plain,
% 0.67/0.85 (rd(mult(mult(mult(ld(X1!0, X1!0), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = mult(mult(ld(X1!0, X1!0), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0))),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[457, 7])).
% 0.67/0.85 tff(459,plain,
% 0.67/0.85 (mult(mult(ld(X1!0, X1!0), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)) = rd(mult(mult(mult(ld(X1!0, X1!0), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)), ld(X1!0, X1!0)), ld(X1!0, X1!0))),
% 0.67/0.85 inference(symmetry,[status(thm)],[458])).
% 0.67/0.85 tff(460,plain,
% 0.67/0.85 (mult(mult(ld(X1!0, X1!0), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)) = mult(ld(ld(X1!0, X1!0), X1!0), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0)))),
% 0.67/0.85 inference(transitivity,[status(thm)],[459, 456, 434, 231])).
% 0.67/0.85 tff(461,plain,
% 0.67/0.85 (mult(ld(X1!0, X1!0), mult(mult(ld(X1!0, X1!0), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0))) = mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0))))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[460])).
% 0.67/0.85 tff(462,plain,
% 0.67/0.85 (mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0)))) = mult(ld(X1!0, X1!0), mult(mult(ld(X1!0, X1!0), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)))),
% 0.67/0.85 inference(symmetry,[status(thm)],[461])).
% 0.67/0.85 tff(463,plain,
% 0.67/0.85 (mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.85 inference(transitivity,[status(thm)],[264, 263, 251, 242, 239, 462, 432, 404, 401, 383, 380, 357])).
% 0.67/0.85 tff(464,plain,
% 0.67/0.85 (rd(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = rd(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[463])).
% 0.67/0.85 tff(465,plain,
% 0.67/0.85 (mult(ld(X1!0, X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0))) = ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)))))),
% 0.67/0.85 inference(symmetry,[status(thm)],[416])).
% 0.67/0.85 tff(466,plain,
% 0.67/0.85 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))) = mult(ld(X1!0, X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[80, 412])).
% 0.67/0.85 tff(467,plain,
% 0.67/0.85 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))) = ld(X1!0, X1!0)),
% 0.67/0.85 inference(transitivity,[status(thm)],[466, 465, 424, 427])).
% 0.67/0.85 tff(468,plain,
% 0.67/0.85 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[467])).
% 0.67/0.85 tff(469,plain,
% 0.67/0.85 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(470,plain,
% 0.67/0.85 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[469, 57])).
% 0.67/0.85 tff(471,plain,
% 0.67/0.85 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.85 inference(symmetry,[status(thm)],[470])).
% 0.67/0.85 tff(472,plain,
% 0.67/0.85 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(473,plain,
% 0.67/0.85 (rd(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[472, 7])).
% 0.67/0.85 tff(474,plain,
% 0.67/0.85 (mult(ld(X1!0, X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(ld(X1!0, X1!0), ld(X1!0, X1!0))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[80])).
% 0.67/0.85 tff(475,plain,
% 0.67/0.85 (mult(ld(X1!0, X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)),
% 0.67/0.85 inference(transitivity,[status(thm)],[474, 123, 120])).
% 0.67/0.85 tff(476,plain,
% 0.67/0.85 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(X1!0, X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.86 inference(monotonicity,[status(thm)],[475])).
% 0.67/0.86 tff(477,plain,
% 0.67/0.86 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(X1!0, X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(478,plain,
% 0.67/0.86 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(X1!0, X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[477, 57])).
% 0.67/0.86 tff(479,plain,
% 0.67/0.86 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.86 inference(transitivity,[status(thm)],[478, 476])).
% 0.67/0.86 tff(480,plain,
% 0.67/0.86 (rd(mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = rd(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.86 inference(monotonicity,[status(thm)],[479])).
% 0.67/0.86 tff(481,plain,
% 0.67/0.86 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(482,plain,
% 0.67/0.86 (rd(mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[481, 7])).
% 0.67/0.86 tff(483,plain,
% 0.67/0.86 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = rd(mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.86 inference(symmetry,[status(thm)],[482])).
% 0.67/0.86 tff(484,plain,
% 0.67/0.86 (mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.86 inference(monotonicity,[status(thm)],[412])).
% 0.67/0.86 tff(485,plain,
% 0.67/0.86 (mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)),
% 0.67/0.86 inference(transitivity,[status(thm)],[484, 483, 480, 473])).
% 0.67/0.86 tff(486,plain,
% 0.67/0.86 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.86 inference(monotonicity,[status(thm)],[485])).
% 0.67/0.86 tff(487,plain,
% 0.67/0.86 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.86 inference(symmetry,[status(thm)],[486])).
% 0.67/0.86 tff(488,plain,
% 0.67/0.86 (ld(X1!0, X1!0) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.86 inference(transitivity,[status(thm)],[163, 78, 487])).
% 0.67/0.86 tff(489,plain,
% 0.67/0.86 (mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.67/0.86 inference(monotonicity,[status(thm)],[124, 488])).
% 0.67/0.86 tff(490,plain,
% 0.67/0.86 (mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.86 inference(transitivity,[status(thm)],[489, 471, 468])).
% 0.67/0.86 tff(491,plain,
% 0.67/0.86 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0))))) = mult(ld(X1!0, X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0))))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(492,plain,
% 0.67/0.86 (ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0))))) = mult(ld(X1!0, X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)))),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[491, 26])).
% 0.67/0.86 tff(493,plain,
% 0.67/0.86 (mult(mult(ld(X1!0, X1!0), ld(ld(X1!0, X1!0), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.86 inference(monotonicity,[status(thm)],[177])).
% 0.67/0.86 tff(494,plain,
% 0.67/0.86 (mult(mult(ld(X1!0, X1!0), ld(ld(X1!0, X1!0), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(ld(X1!0, X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.86 inference(transitivity,[status(thm)],[493, 407, 406, 161, 405])).
% 0.67/0.86 tff(495,plain,
% 0.67/0.86 (mult(mult(mult(ld(X1!0, X1!0), ld(ld(X1!0, X1!0), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0)) = mult(mult(ld(X1!0, X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0))),
% 0.67/0.86 inference(monotonicity,[status(thm)],[494])).
% 0.67/0.86 tff(496,plain,
% 0.67/0.86 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(ld(X1!0, X1!0), ld(ld(X1!0, X1!0), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)))))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(497,plain,
% 0.67/0.86 (mult(mult(mult(ld(X1!0, X1!0), ld(ld(X1!0, X1!0), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0))))),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[496, 57])).
% 0.67/0.86 tff(498,plain,
% 0.67/0.86 (mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)))) = mult(mult(mult(ld(X1!0, X1!0), ld(ld(X1!0, X1!0), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0))),
% 0.67/0.86 inference(symmetry,[status(thm)],[497])).
% 0.67/0.86 tff(499,plain,
% 0.67/0.86 (mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)))) = mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0))))),
% 0.67/0.86 inference(transitivity,[status(thm)],[498, 495, 167, 170])).
% 0.67/0.86 tff(500,plain,
% 0.67/0.86 (ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0))))) = ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)))))),
% 0.67/0.86 inference(monotonicity,[status(thm)],[499])).
% 0.67/0.86 tff(501,plain,
% 0.67/0.86 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0))))) = mult(ld(ld(X1!0, X1!0), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0))))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(502,plain,
% 0.67/0.86 (ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0))))) = mult(ld(ld(X1!0, X1!0), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)))),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[501, 26])).
% 0.67/0.86 tff(503,plain,
% 0.67/0.86 (mult(ld(ld(X1!0, X1!0), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0))) = ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)))))),
% 0.67/0.86 inference(symmetry,[status(thm)],[502])).
% 0.67/0.86 tff(504,plain,
% 0.67/0.86 (mult(ld(ld(X1!0, X1!0), X1!0), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))) = mult(ld(ld(X1!0, X1!0), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)))),
% 0.67/0.86 inference(monotonicity,[status(thm)],[412])).
% 0.67/0.86 tff(505,plain,
% 0.67/0.86 (mult(ld(ld(X1!0, X1!0), X1!0), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))) = mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.86 inference(transitivity,[status(thm)],[504, 503, 500, 492, 244, 210, 207, 352, 262, 175])).
% 0.67/0.86 tff(506,plain,
% 0.67/0.86 (rd(mult(ld(ld(X1!0, X1!0), X1!0), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))) = rd(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.86 inference(monotonicity,[status(thm)],[505, 490])).
% 0.67/0.86 tff(507,plain,
% 0.67/0.86 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(ld(ld(X1!0, X1!0), X1!0), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))) = ld(ld(X1!0, X1!0), X1!0))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(508,plain,
% 0.67/0.86 (rd(mult(ld(ld(X1!0, X1!0), X1!0), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))) = ld(ld(X1!0, X1!0), X1!0)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[507, 7])).
% 0.67/0.86 tff(509,plain,
% 0.67/0.86 (ld(ld(X1!0, X1!0), X1!0) = rd(mult(ld(ld(X1!0, X1!0), X1!0), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)))),
% 0.67/0.86 inference(symmetry,[status(thm)],[508])).
% 0.67/0.86 tff(510,plain,
% 0.67/0.86 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.86 inference(symmetry,[status(thm)],[363])).
% 0.67/0.86 tff(511,plain,
% 0.67/0.86 (mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.86 inference(transitivity,[status(thm)],[264, 263, 251, 242, 239, 462, 432, 404, 401, 359])).
% 0.67/0.86 tff(512,plain,
% 0.67/0.86 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.67/0.86 inference(monotonicity,[status(thm)],[511])).
% 0.67/0.86 tff(513,plain,
% 0.67/0.86 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.86 inference(transitivity,[status(thm)],[512, 510, 376, 364, 202, 509, 506, 464, 355, 353, 135, 138, 167, 170, 246, 244, 210, 207, 352, 262, 175])).
% 0.67/0.86 tff(514,plain,
% 0.67/0.86 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), X0!1) = mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), X0!1)),
% 0.67/0.86 inference(monotonicity,[status(thm)],[513])).
% 0.67/0.86 tff(515,plain,
% 0.67/0.86 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), X0!1), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), X0!1), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.86 inference(monotonicity,[status(thm)],[514])).
% 0.67/0.86 tff(516,plain,
% 0.67/0.86 (mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), X0!1), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), X0!1), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.86 inference(symmetry,[status(thm)],[515])).
% 0.67/0.86 tff(517,plain,
% 0.67/0.86 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), X0!1), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), X0!1), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(518,plain,
% 0.67/0.86 (rd(mult(mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), X0!1), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), X0!1), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[517, 7])).
% 0.67/0.86 tff(519,plain,
% 0.67/0.86 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), X0!1), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(520,plain,
% 0.67/0.86 (mult(mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), X0!1), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))))),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[519, 57])).
% 0.67/0.86 tff(521,plain,
% 0.67/0.86 (mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))) = mult(mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), X0!1), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.67/0.86 inference(symmetry,[status(thm)],[520])).
% 0.67/0.86 tff(522,plain,
% 0.67/0.86 (mult(X0!1, X1!0) = mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))),
% 0.67/0.86 inference(monotonicity,[status(thm)],[19])).
% 0.67/0.86 tff(523,plain,
% 0.67/0.86 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = X1!0)),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(524,plain,
% 0.67/0.87 (rd(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = X1!0),
% 0.67/0.87 inference(unit_resolution,[status(thm)],[523, 7])).
% 0.67/0.87 tff(525,plain,
% 0.67/0.87 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = X1!0),
% 0.67/0.87 inference(transitivity,[status(thm)],[512, 510, 376, 364, 202, 509, 506, 524])).
% 0.67/0.87 tff(526,plain,
% 0.67/0.87 (mult(X0!1, mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = mult(X0!1, X1!0)),
% 0.67/0.87 inference(monotonicity,[status(thm)],[525])).
% 0.67/0.87 tff(527,plain,
% 0.67/0.87 (mult(X0!1, mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))),
% 0.67/0.87 inference(transitivity,[status(thm)],[526, 522])).
% 0.67/0.87 tff(528,plain,
% 0.67/0.87 (mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))) = mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))),
% 0.67/0.87 inference(monotonicity,[status(thm)],[527])).
% 0.67/0.87 tff(529,plain,
% 0.67/0.87 (mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))) = mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))))),
% 0.67/0.87 inference(symmetry,[status(thm)],[528])).
% 0.67/0.87 tff(530,plain,
% 0.67/0.87 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))),
% 0.67/0.87 inference(quant_inst,[status(thm)],[])).
% 0.67/0.87 tff(531,plain,
% 0.67/0.87 (rd(mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))),
% 0.67/0.87 inference(unit_resolution,[status(thm)],[530, 7])).
% 0.67/0.87 tff(532,plain,
% 0.67/0.87 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))) = mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))),
% 0.67/0.87 inference(monotonicity,[status(thm)],[513])).
% 0.67/0.87 tff(533,plain,
% 0.67/0.87 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.87 inference(monotonicity,[status(thm)],[532])).
% 0.67/0.87 tff(534,plain,
% 0.67/0.87 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.67/0.87 inference(quant_inst,[status(thm)],[])).
% 0.67/0.87 tff(535,plain,
% 0.67/0.87 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.67/0.87 inference(unit_resolution,[status(thm)],[534, 57])).
% 0.67/0.87 tff(536,plain,
% 0.67/0.87 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.87 inference(symmetry,[status(thm)],[535])).
% 0.67/0.87 tff(537,plain,
% 0.67/0.87 (mult(X0!1, mult(X1!0, ld(X1!0, X1!0))) = mult(X0!1, X1!0)),
% 0.67/0.87 inference(symmetry,[status(thm)],[522])).
% 0.67/0.87 tff(538,plain,
% 0.67/0.87 (mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(X0!1, X1!0), ld(X1!0, X1!0))),
% 0.67/0.87 inference(monotonicity,[status(thm)],[537, 295])).
% 0.67/0.87 tff(539,plain,
% 0.67/0.87 (mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(X0!1, X1!0), ld(X1!0, X1!0)))),
% 0.67/0.87 inference(monotonicity,[status(thm)],[538])).
% 0.67/0.87 tff(540,plain,
% 0.67/0.87 (mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(X0!1, X1!0), ld(X1!0, X1!0))) = mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.87 inference(symmetry,[status(thm)],[539])).
% 0.67/0.87 tff(541,plain,
% 0.67/0.87 (rd(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = rd(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.87 inference(symmetry,[status(thm)],[464])).
% 0.67/0.87 tff(542,plain,
% 0.67/0.87 (mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0) = rd(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.87 inference(symmetry,[status(thm)],[355])).
% 0.67/0.87 tff(543,plain,
% 0.67/0.87 (mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = X1!0),
% 0.67/0.87 inference(transitivity,[status(thm)],[264, 263, 251, 249, 209, 248, 247, 171, 168, 139, 136, 91, 542, 541, 524])).
% 0.67/0.87 tff(544,plain,
% 0.67/0.87 (mult(X0!1, mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(X0!1, X1!0)),
% 0.67/0.87 inference(monotonicity,[status(thm)],[543])).
% 0.67/0.87 tff(545,plain,
% 0.67/0.87 (mult(X0!1, mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))),
% 0.67/0.87 inference(transitivity,[status(thm)],[544, 522])).
% 0.67/0.87 tff(546,plain,
% 0.67/0.87 (mult(mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))), mult(X0!1, mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = mult(mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))),
% 0.67/0.87 inference(monotonicity,[status(thm)],[545])).
% 0.67/0.87 tff(547,plain,
% 0.67/0.87 (mult(mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))) = mult(mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))), mult(X0!1, mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.67/0.87 inference(symmetry,[status(thm)],[546])).
% 0.67/0.87 tff(548,plain,
% 0.67/0.87 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))) = mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))))),
% 0.67/0.87 inference(quant_inst,[status(thm)],[])).
% 0.67/0.87 tff(549,plain,
% 0.67/0.87 (mult(mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))) = mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))))),
% 0.67/0.87 inference(unit_resolution,[status(thm)],[548, 57])).
% 0.67/0.87 tff(550,plain,
% 0.67/0.87 (mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))) = mult(mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))),
% 0.67/0.87 inference(symmetry,[status(thm)],[549])).
% 0.67/0.87 tff(551,plain,
% 0.67/0.87 ((~![B: $i, A: $i] : (mult(rd(A, B), B) = A)) | (mult(rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))) = mult(ld(X1!0, X1!0), ld(X1!0, X1!0)))),
% 0.67/0.87 inference(quant_inst,[status(thm)],[])).
% 0.67/0.87 tff(552,plain,
% 0.67/0.87 (mult(rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))) = mult(ld(X1!0, X1!0), ld(X1!0, X1!0))),
% 0.67/0.87 inference(unit_resolution,[status(thm)],[551, 39])).
% 0.67/0.87 tff(553,plain,
% 0.67/0.87 (mult(rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))) = rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)),
% 0.67/0.87 inference(transitivity,[status(thm)],[552, 123, 120])).
% 0.67/0.87 tff(554,plain,
% 0.67/0.87 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.87 inference(monotonicity,[status(thm)],[553])).
% 0.67/0.87 tff(555,plain,
% 0.67/0.87 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))) = ld(X1!0, X1!0)),
% 0.67/0.87 inference(transitivity,[status(thm)],[554, 79, 76])).
% 0.67/0.87 tff(556,plain,
% 0.67/0.87 (mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))) = mult(mult(X0!1, X1!0), ld(X1!0, X1!0))),
% 0.67/0.87 inference(monotonicity,[status(thm)],[537, 555])).
% 0.67/0.87 tff(557,plain,
% 0.67/0.87 (mult(mult(X0!1, X1!0), ld(X1!0, X1!0)) = mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))))),
% 0.67/0.87 inference(symmetry,[status(thm)],[556])).
% 0.67/0.87 tff(558,plain,
% 0.67/0.87 (mult(mult(X0!1, X1!0), ld(X1!0, X1!0)) = mult(mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))), mult(X0!1, mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.67/0.87 inference(transitivity,[status(thm)],[557, 550, 547])).
% 0.67/0.87 tff(559,plain,
% 0.67/0.87 (mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(X0!1, X1!0), ld(X1!0, X1!0))) = mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))), mult(X0!1, mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))))),
% 0.67/0.87 inference(monotonicity,[status(thm)],[558])).
% 0.67/0.87 tff(560,plain,
% 0.67/0.87 (mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))), mult(X0!1, mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))) = mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(X0!1, X1!0), ld(X1!0, X1!0)))),
% 0.67/0.87 inference(symmetry,[status(thm)],[559])).
% 0.67/0.87 tff(561,plain,
% 0.67/0.87 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))), mult(X0!1, mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))))),
% 0.67/0.87 inference(quant_inst,[status(thm)],[])).
% 0.67/0.87 tff(562,plain,
% 0.67/0.87 (mult(mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))), mult(X0!1, mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))))),
% 0.67/0.87 inference(unit_resolution,[status(thm)],[561, 57])).
% 0.67/0.87 tff(563,plain,
% 0.67/0.87 (mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)),
% 0.67/0.87 inference(monotonicity,[status(thm)],[152])).
% 0.67/0.87 tff(564,plain,
% 0.67/0.87 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0))),
% 0.67/0.87 inference(monotonicity,[status(thm)],[190, 563])).
% 0.67/0.87 tff(565,plain,
% 0.67/0.87 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.67/0.87 inference(quant_inst,[status(thm)],[])).
% 0.67/0.87 tff(566,plain,
% 0.67/0.87 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.67/0.87 inference(unit_resolution,[status(thm)],[565, 57])).
% 0.67/0.87 tff(567,plain,
% 0.67/0.87 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.87 inference(quant_inst,[status(thm)],[])).
% 0.67/0.87 tff(568,plain,
% 0.67/0.87 (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)),
% 0.67/0.87 inference(unit_resolution,[status(thm)],[567, 26])).
% 0.67/0.87 tff(569,plain,
% 0.67/0.87 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0)) = mult(ld(X1!0, X1!0), ld(X1!0, X1!0))),
% 0.67/0.88 inference(monotonicity,[status(thm)],[80])).
% 0.67/0.88 tff(570,plain,
% 0.67/0.88 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0)) = rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)),
% 0.67/0.88 inference(transitivity,[status(thm)],[569, 123, 120])).
% 0.67/0.88 tff(571,plain,
% 0.67/0.88 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.88 inference(monotonicity,[status(thm)],[570])).
% 0.67/0.88 tff(572,plain,
% 0.67/0.88 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.67/0.88 inference(quant_inst,[status(thm)],[])).
% 0.67/0.88 tff(573,plain,
% 0.67/0.88 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.67/0.88 inference(unit_resolution,[status(thm)],[572, 57])).
% 0.67/0.88 tff(574,plain,
% 0.67/0.88 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.88 inference(symmetry,[status(thm)],[573])).
% 0.67/0.88 tff(575,plain,
% 0.67/0.88 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.88 inference(transitivity,[status(thm)],[574, 571])).
% 0.67/0.88 tff(576,plain,
% 0.67/0.88 (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.88 inference(monotonicity,[status(thm)],[575])).
% 0.67/0.88 tff(577,plain,
% 0.67/0.88 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.67/0.88 inference(quant_inst,[status(thm)],[])).
% 0.67/0.88 tff(578,plain,
% 0.67/0.88 (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.88 inference(unit_resolution,[status(thm)],[577, 26])).
% 0.67/0.88 tff(579,plain,
% 0.67/0.88 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.67/0.88 inference(symmetry,[status(thm)],[578])).
% 0.67/0.88 tff(580,plain,
% 0.67/0.88 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)),
% 0.67/0.88 inference(transitivity,[status(thm)],[579, 576, 568])).
% 0.67/0.88 tff(581,plain,
% 0.67/0.88 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.88 inference(monotonicity,[status(thm)],[580])).
% 0.67/0.88 tff(582,plain,
% 0.67/0.88 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.88 inference(symmetry,[status(thm)],[581])).
% 0.67/0.88 tff(583,plain,
% 0.67/0.88 (mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.88 inference(transitivity,[status(thm)],[398, 397, 387, 582])).
% 0.67/0.88 tff(584,plain,
% 0.67/0.88 (mult(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X1!0, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.88 inference(monotonicity,[status(thm)],[583, 485])).
% 0.67/0.88 tff(585,plain,
% 0.67/0.88 (mult(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)),
% 0.67/0.88 inference(transitivity,[status(thm)],[584, 566, 564, 365, 279, 91])).
% 0.67/0.88 tff(586,plain,
% 0.67/0.88 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0))),
% 0.67/0.88 inference(monotonicity,[status(thm)],[190, 585])).
% 0.67/0.88 tff(587,plain,
% 0.67/0.88 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.67/0.88 inference(quant_inst,[status(thm)],[])).
% 0.67/0.88 tff(588,plain,
% 0.67/0.88 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.67/0.88 inference(unit_resolution,[status(thm)],[587, 57])).
% 0.67/0.88 tff(589,plain,
% 0.67/0.88 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))) = mult(ld(ld(X1!0, X1!0), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)))),
% 0.67/0.88 inference(monotonicity,[status(thm)],[373, 412])).
% 0.67/0.88 tff(590,plain,
% 0.67/0.88 (mult(ld(ld(X1!0, X1!0), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0))) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)))),
% 0.67/0.88 inference(symmetry,[status(thm)],[589])).
% 0.67/0.88 tff(591,plain,
% 0.67/0.88 (ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0))))) = ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(ld(ld(X1!0, X1!0), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(X1!0, X1!0)))))),
% 0.67/0.88 inference(symmetry,[status(thm)],[500])).
% 0.67/0.88 tff(592,plain,
% 0.67/0.88 (mult(ld(X1!0, X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0))) = ld(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(ld(X1!0, X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)))))),
% 0.67/0.88 inference(symmetry,[status(thm)],[492])).
% 0.67/0.88 tff(593,plain,
% 0.67/0.88 (mult(ld(X1!0, X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0))) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)))),
% 0.67/0.88 inference(transitivity,[status(thm)],[592, 591, 502, 590])).
% 0.67/0.88 tff(594,plain,
% 0.67/0.88 (mult(mult(ld(X1!0, X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.88 inference(monotonicity,[status(thm)],[593])).
% 0.67/0.88 tff(595,plain,
% 0.67/0.88 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(ld(X1!0, X1!0), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(ld(X1!0, X1!0), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.88 inference(monotonicity,[status(thm)],[204])).
% 0.67/0.88 tff(596,plain,
% 0.67/0.88 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(ld(X1!0, X1!0), X1!0)) = mult(ld(X1!0, X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0)))),
% 0.67/0.88 inference(transitivity,[status(thm)],[595, 188, 185, 263, 251, 249, 209, 248])).
% 0.67/0.88 tff(597,plain,
% 0.67/0.88 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(ld(X1!0, X1!0), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(ld(X1!0, X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.88 inference(monotonicity,[status(thm)],[596])).
% 0.67/0.88 tff(598,plain,
% 0.67/0.88 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(ld(X1!0, X1!0), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(ld(X1!0, X1!0), X1!0))),
% 0.67/0.88 inference(symmetry,[status(thm)],[595])).
% 0.67/0.88 tff(599,plain,
% 0.67/0.88 (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(ld(ld(X1!0, X1!0), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.67/0.88 inference(symmetry,[status(thm)],[185])).
% 0.67/0.88 tff(600,plain,
% 0.67/0.88 (mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(ld(X1!0, X1!0), X1!0))),
% 0.67/0.88 inference(transitivity,[status(thm)],[264, 599, 187, 598])).
% 0.67/0.88 tff(601,plain,
% 0.67/0.88 (mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(ld(X1!0, X1!0), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.88 inference(monotonicity,[status(thm)],[600])).
% 0.67/0.88 tff(602,plain,
% 0.67/0.88 (mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.88 inference(transitivity,[status(thm)],[601, 597, 594, 588, 586, 365, 279, 135, 138, 167, 170, 246, 244, 210, 207, 352, 262, 175])).
% 0.67/0.88 tff(603,plain,
% 0.67/0.88 (mult(mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.67/0.88 inference(monotonicity,[status(thm)],[602])).
% 0.67/0.88 tff(604,plain,
% 0.67/0.88 (mult(mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.88 inference(transitivity,[status(thm)],[603, 562, 560, 540])).
% 0.67/0.88 tff(605,plain,
% 0.67/0.88 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.67/0.88 inference(monotonicity,[status(thm)],[604])).
% 0.67/0.88 tff(606,plain,
% 0.67/0.88 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1)), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.67/0.88 inference(quant_inst,[status(thm)],[])).
% 0.67/0.88 tff(607,plain,
% 0.67/0.88 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1)), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.67/0.88 inference(unit_resolution,[status(thm)],[606, 57])).
% 0.67/0.88 tff(608,plain,
% 0.67/0.88 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1)), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.88 inference(transitivity,[status(thm)],[607, 605, 536, 533])).
% 0.67/0.88 tff(609,plain,
% 0.67/0.88 (rd(mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1)), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = rd(mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.88 inference(monotonicity,[status(thm)],[608])).
% 0.67/0.88 tff(610,plain,
% 0.67/0.88 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1)), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1)), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.67/0.88 inference(quant_inst,[status(thm)],[])).
% 0.67/0.88 tff(611,plain,
% 0.67/0.88 (rd(mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1)), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1)), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.67/0.89 inference(unit_resolution,[status(thm)],[610, 7])).
% 0.67/0.89 tff(612,plain,
% 0.67/0.89 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1)), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = rd(mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1)), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.89 inference(symmetry,[status(thm)],[611])).
% 0.67/0.89 tff(613,plain,
% 0.67/0.89 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1)), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), X0!1), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.67/0.89 inference(transitivity,[status(thm)],[612, 609, 531, 529, 521])).
% 0.67/0.89 tff(614,plain,
% 0.67/0.89 (rd(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1)), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = rd(mult(mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), X0!1), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.67/0.89 inference(monotonicity,[status(thm)],[613])).
% 0.67/0.89 tff(615,plain,
% 0.67/0.89 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1)), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1)))),
% 0.67/0.89 inference(quant_inst,[status(thm)],[])).
% 0.67/0.89 tff(616,plain,
% 0.67/0.89 (rd(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1)), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1))),
% 0.67/0.89 inference(unit_resolution,[status(thm)],[615, 7])).
% 0.67/0.89 tff(617,plain,
% 0.67/0.89 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1)) = rd(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1)), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.67/0.89 inference(symmetry,[status(thm)],[616])).
% 0.67/0.89 tff(618,plain,
% 0.67/0.89 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.67/0.89 inference(transitivity,[status(thm)],[617, 614, 518, 516, 351])).
% 0.67/0.89 tff(619,plain,
% 0.67/0.89 (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1))) = ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.67/0.89 inference(monotonicity,[status(thm)],[618])).
% 0.67/0.89 tff(620,plain,
% 0.67/0.89 (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1)))),
% 0.67/0.89 inference(symmetry,[status(thm)],[619])).
% 0.67/0.89 tff(621,plain,
% 0.67/0.89 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.67/0.89 inference(quant_inst,[status(thm)],[])).
% 0.67/0.89 tff(622,plain,
% 0.67/0.89 (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.89 inference(unit_resolution,[status(thm)],[621, 26])).
% 0.67/0.89 tff(623,plain,
% 0.67/0.89 (mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.67/0.89 inference(symmetry,[status(thm)],[622])).
% 0.67/0.89 tff(624,plain,
% 0.67/0.89 (mult(X0!1, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(X0!1, ld(X1!0, X1!0))),
% 0.67/0.89 inference(monotonicity,[status(thm)],[295])).
% 0.67/0.89 tff(625,plain,
% 0.67/0.89 (mult(X0!1, ld(X1!0, X1!0)) = mult(X0!1, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.89 inference(symmetry,[status(thm)],[624])).
% 0.67/0.89 tff(626,plain,
% 0.67/0.89 (mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, ld(X1!0, X1!0))) = mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.89 inference(monotonicity,[status(thm)],[625])).
% 0.67/0.89 tff(627,plain,
% 0.67/0.89 (mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, ld(X1!0, X1!0))) = mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1)),
% 0.67/0.89 inference(transitivity,[status(thm)],[626, 623, 620, 349])).
% 0.67/0.89 tff(628,plain,
% 0.67/0.89 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.89 inference(quant_inst,[status(thm)],[])).
% 0.67/0.89 tff(629,plain,
% 0.67/0.89 (rd(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)),
% 0.67/0.89 inference(unit_resolution,[status(thm)],[628, 7])).
% 0.67/0.89 tff(630,plain,
% 0.67/0.89 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.89 inference(symmetry,[status(thm)],[315])).
% 0.67/0.89 tff(631,plain,
% 0.67/0.89 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.89 inference(symmetry,[status(thm)],[292])).
% 0.67/0.89 tff(632,plain,
% 0.67/0.89 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.67/0.89 inference(symmetry,[status(thm)],[290])).
% 0.67/0.89 tff(633,plain,
% 0.67/0.89 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.90 inference(transitivity,[status(thm)],[632, 631, 630])).
% 0.67/0.90 tff(634,plain,
% 0.67/0.90 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.90 inference(monotonicity,[status(thm)],[633])).
% 0.67/0.90 tff(635,plain,
% 0.67/0.90 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.90 inference(symmetry,[status(thm)],[634])).
% 0.67/0.90 tff(636,plain,
% 0.67/0.90 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.67/0.90 inference(quant_inst,[status(thm)],[])).
% 0.67/0.90 tff(637,plain,
% 0.67/0.90 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.67/0.90 inference(unit_resolution,[status(thm)],[636, 57])).
% 0.67/0.90 tff(638,plain,
% 0.67/0.90 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.90 inference(symmetry,[status(thm)],[637])).
% 0.67/0.90 tff(639,plain,
% 0.67/0.90 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.90 inference(monotonicity,[status(thm)],[288])).
% 0.67/0.90 tff(640,plain,
% 0.67/0.90 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.90 inference(monotonicity,[status(thm)],[639])).
% 0.67/0.90 tff(641,plain,
% 0.67/0.90 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.67/0.90 inference(symmetry,[status(thm)],[640])).
% 0.67/0.90 tff(642,plain,
% 0.67/0.90 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.67/0.90 inference(quant_inst,[status(thm)],[])).
% 0.67/0.90 tff(643,plain,
% 0.67/0.90 (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.90 inference(unit_resolution,[status(thm)],[642, 26])).
% 0.67/0.90 tff(644,plain,
% 0.67/0.90 (mult(mult(X0!1, X1!0), ld(X1!0, X1!0)) = mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.90 inference(symmetry,[status(thm)],[538])).
% 0.67/0.90 tff(645,plain,
% 0.67/0.90 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, X1!0), ld(X1!0, X1!0))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.90 inference(monotonicity,[status(thm)],[644])).
% 0.67/0.90 tff(646,plain,
% 0.67/0.90 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, X1!0), ld(X1!0, X1!0)))),
% 0.67/0.90 inference(symmetry,[status(thm)],[645])).
% 0.67/0.90 tff(647,plain,
% 0.67/0.90 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.67/0.90 inference(monotonicity,[status(thm)],[288])).
% 0.67/0.90 tff(648,plain,
% 0.67/0.90 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.90 inference(transitivity,[status(thm)],[647, 87, 84, 298])).
% 0.67/0.90 tff(649,plain,
% 0.67/0.90 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.90 inference(monotonicity,[status(thm)],[648])).
% 0.67/0.90 tff(650,plain,
% 0.67/0.90 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), A) = mult(A, mult(B, mult(C, A))))) | (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.67/0.90 inference(quant_inst,[status(thm)],[])).
% 0.67/0.90 tff(651,plain,
% 0.67/0.90 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.67/0.90 inference(unit_resolution,[status(thm)],[650, 57])).
% 0.67/0.90 tff(652,plain,
% 0.67/0.90 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.90 inference(symmetry,[status(thm)],[651])).
% 0.67/0.90 tff(653,plain,
% 0.67/0.90 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, X1!0), ld(X1!0, X1!0)))),
% 0.67/0.90 inference(transitivity,[status(thm)],[652, 649, 292, 290, 646])).
% 0.67/0.90 tff(654,plain,
% 0.67/0.90 (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))) = ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, X1!0), ld(X1!0, X1!0))))),
% 0.67/0.90 inference(monotonicity,[status(thm)],[653])).
% 0.67/0.90 tff(655,plain,
% 0.67/0.90 (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, X1!0), ld(X1!0, X1!0)))) = ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))))),
% 0.67/0.90 inference(symmetry,[status(thm)],[654])).
% 0.67/0.90 tff(656,plain,
% 0.67/0.90 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, X1!0), ld(X1!0, X1!0)))) = mult(mult(X0!1, X1!0), ld(X1!0, X1!0)))),
% 0.67/0.90 inference(quant_inst,[status(thm)],[])).
% 0.67/0.90 tff(657,plain,
% 0.67/0.90 (ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, X1!0), ld(X1!0, X1!0)))) = mult(mult(X0!1, X1!0), ld(X1!0, X1!0))),
% 0.67/0.90 inference(unit_resolution,[status(thm)],[656, 26])).
% 0.67/0.90 tff(658,plain,
% 0.67/0.90 (mult(mult(X0!1, X1!0), ld(X1!0, X1!0)) = ld(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, X1!0), ld(X1!0, X1!0))))),
% 0.67/0.90 inference(symmetry,[status(thm)],[657])).
% 0.67/0.90 tff(659,plain,
% 0.67/0.90 (mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.90 inference(transitivity,[status(thm)],[538, 658, 655, 643, 641, 638, 635])).
% 0.67/0.90 tff(660,plain,
% 0.67/0.90 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.90 inference(monotonicity,[status(thm)],[659])).
% 0.67/0.90 tff(661,plain,
% 0.67/0.90 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.67/0.90 inference(quant_inst,[status(thm)],[])).
% 0.67/0.90 tff(662,plain,
% 0.67/0.90 (rd(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.90 inference(unit_resolution,[status(thm)],[661, 7])).
% 0.67/0.90 tff(663,plain,
% 0.67/0.90 (mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), ld(X1!0, X1!0)) = mult(mult(X0!1, X1!0), ld(X1!0, X1!0))),
% 0.67/0.90 inference(monotonicity,[status(thm)],[537])).
% 0.67/0.90 tff(664,plain,
% 0.67/0.90 (mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), ld(X1!0, X1!0)) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.90 inference(transitivity,[status(thm)],[663, 658, 655, 643, 641, 638, 635])).
% 0.67/0.90 tff(665,plain,
% 0.67/0.90 (rd(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = rd(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.90 inference(monotonicity,[status(thm)],[664, 325])).
% 0.67/0.90 tff(666,plain,
% 0.67/0.90 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))),
% 0.67/0.90 inference(quant_inst,[status(thm)],[])).
% 0.67/0.90 tff(667,plain,
% 0.67/0.90 (rd(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), ld(X1!0, X1!0)), ld(X1!0, X1!0)) = mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))),
% 0.67/0.90 inference(unit_resolution,[status(thm)],[666, 7])).
% 0.67/0.90 tff(668,plain,
% 0.67/0.90 (mult(X0!1, mult(X1!0, ld(X1!0, X1!0))) = rd(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), ld(X1!0, X1!0)), ld(X1!0, X1!0))),
% 0.67/0.90 inference(symmetry,[status(thm)],[667])).
% 0.67/0.90 tff(669,plain,
% 0.67/0.90 (mult(X0!1, mult(X1!0, ld(X1!0, X1!0))) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.90 inference(transitivity,[status(thm)],[668, 665, 662, 660, 641, 638, 635])).
% 0.67/0.90 tff(670,plain,
% 0.67/0.90 (mult(mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.90 inference(transitivity,[status(thm)],[549, 556, 658, 655, 643])).
% 0.67/0.90 tff(671,plain,
% 0.67/0.90 (rd(mult(mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))) = rd(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))),
% 0.67/0.90 inference(monotonicity,[status(thm)],[670, 669])).
% 0.67/0.90 tff(672,plain,
% 0.67/0.90 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))) = mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))))),
% 0.67/0.90 inference(quant_inst,[status(thm)],[])).
% 0.67/0.90 tff(673,plain,
% 0.67/0.90 (rd(mult(mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))) = mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))),
% 0.67/0.90 inference(unit_resolution,[status(thm)],[672, 7])).
% 0.67/0.90 tff(674,plain,
% 0.67/0.90 (mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))) = rd(mult(mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))),
% 0.67/0.90 inference(symmetry,[status(thm)],[673])).
% 0.67/0.90 tff(675,plain,
% 0.67/0.90 (mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))) = rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)),
% 0.67/0.90 inference(transitivity,[status(thm)],[674, 671, 629])).
% 0.67/0.90 tff(676,plain,
% 0.67/0.90 (mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(ld(X1!0, X1!0), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.90 inference(monotonicity,[status(thm)],[600, 675])).
% 0.67/0.90 tff(677,plain,
% 0.67/0.90 (mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(ld(X1!0, X1!0), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))))),
% 0.67/0.90 inference(symmetry,[status(thm)],[676])).
% 0.67/0.90 tff(678,plain,
% 0.67/0.90 (mult(mult(ld(X1!0, X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), ld(ld(X1!0, X1!0), X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.90 inference(symmetry,[status(thm)],[597])).
% 0.67/0.90 tff(679,plain,
% 0.67/0.90 (mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)) = mult(mult(ld(X1!0, X1!0), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.90 inference(symmetry,[status(thm)],[594])).
% 0.67/0.90 tff(680,plain,
% 0.67/0.90 (mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))) = mult(mult(mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)))), mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))),
% 0.67/0.91 inference(symmetry,[status(thm)],[588])).
% 0.67/0.91 tff(681,plain,
% 0.67/0.91 (mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0)) = mult(rd(mult(X1!0, ld(X1!0, X1!0)), X1!0), mult(mult(mult(mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), X1!0), mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), ld(X1!0, X1!0)), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))))),
% 0.67/0.91 inference(symmetry,[status(thm)],[586])).
% 0.67/0.91 tff(682,plain,
% 0.67/0.91 (mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))) = mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0))))))),
% 0.67/0.91 inference(transitivity,[status(thm)],[264, 263, 251, 249, 209, 248, 247, 171, 168, 139, 136, 280, 269, 681, 680, 679, 678, 677])).
% 0.67/0.91 tff(683,plain,
% 0.67/0.91 (ld(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, ld(X1!0, X1!0)))) = ld(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), mult(mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(mult(X0!1, mult(X1!0, ld(X1!0, X1!0))), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0)), rd(mult(ld(X1!0, X1!0), ld(X1!0, X1!0)), mult(X0!1, mult(X1!0, ld(X1!0, X1!0)))))), X0!1))),
% 0.67/0.91 inference(monotonicity,[status(thm)],[682, 627])).
% 0.67/0.91 tff(684,plain,
% 0.67/0.91 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, ld(X1!0, X1!0)))) = mult(X0!1, ld(X1!0, X1!0)))),
% 0.67/0.91 inference(quant_inst,[status(thm)],[])).
% 0.67/0.91 tff(685,plain,
% 0.67/0.91 (ld(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, ld(X1!0, X1!0)))) = mult(X0!1, ld(X1!0, X1!0))),
% 0.67/0.91 inference(unit_resolution,[status(thm)],[684, 26])).
% 0.67/0.91 tff(686,plain,
% 0.67/0.91 (mult(X0!1, ld(X1!0, X1!0)) = ld(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(mult(X1!0, mult(ld(X1!0, X1!0), rd(mult(X1!0, ld(X1!0, X1!0)), X1!0))), mult(X0!1, ld(X1!0, X1!0))))),
% 0.67/0.91 inference(symmetry,[status(thm)],[685])).
% 0.67/0.91 tff(687,plain,
% 0.67/0.91 (mult(X0!1, ld(X1!0, X1!0)) = X0!1),
% 0.67/0.91 inference(transitivity,[status(thm)],[686, 683, 347])).
% 0.67/0.91 tff(688,plain,
% 0.67/0.91 ((~(~((~(mult(X0!1, ld(X1!0, X1!0)) = X0!1)) | (~(mult(ld(X1!0, X1!0), X0!1) = X0!1))))) <=> ((~(mult(X0!1, ld(X1!0, X1!0)) = X0!1)) | (~(mult(ld(X1!0, X1!0), X0!1) = X0!1)))),
% 0.67/0.91 inference(rewrite,[status(thm)],[])).
% 0.67/0.91 tff(689,plain,
% 0.67/0.91 (((mult(X0!1, ld(X1!0, X1!0)) = X0!1) & (mult(ld(X1!0, X1!0), X0!1) = X0!1)) <=> (~((~(mult(X0!1, ld(X1!0, X1!0)) = X0!1)) | (~(mult(ld(X1!0, X1!0), X0!1) = X0!1))))),
% 0.67/0.91 inference(rewrite,[status(thm)],[])).
% 0.67/0.91 tff(690,plain,
% 0.67/0.91 ((~((mult(X0!1, ld(X1!0, X1!0)) = X0!1) & (mult(ld(X1!0, X1!0), X0!1) = X0!1))) <=> (~(~((~(mult(X0!1, ld(X1!0, X1!0)) = X0!1)) | (~(mult(ld(X1!0, X1!0), X0!1) = X0!1)))))),
% 0.67/0.91 inference(monotonicity,[status(thm)],[689])).
% 0.67/0.91 tff(691,plain,
% 0.67/0.91 ((~((mult(X0!1, ld(X1!0, X1!0)) = X0!1) & (mult(ld(X1!0, X1!0), X0!1) = X0!1))) <=> ((~(mult(X0!1, ld(X1!0, X1!0)) = X0!1)) | (~(mult(ld(X1!0, X1!0), X0!1) = X0!1)))),
% 0.67/0.91 inference(transitivity,[status(thm)],[690, 688])).
% 0.67/0.91 tff(692,plain,
% 0.67/0.91 ((~![X0: $i, X1: $i] : ((mult(X0, ld(X1, X1)) = X0) & (mult(ld(X1, X1), X0) = X0))) <=> (~![X0: $i, X1: $i] : ((mult(X0, ld(X1, X1)) = X0) & (mult(ld(X1, X1), X0) = X0)))),
% 0.67/0.91 inference(rewrite,[status(thm)],[])).
% 0.67/0.91 tff(693,axiom,(~![X0: $i, X1: $i] : ((mult(X0, ld(X1, X1)) = X0) & (mult(ld(X1, X1), X0) = X0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','goals')).
% 0.67/0.91 tff(694,plain,
% 0.67/0.91 (~![X0: $i, X1: $i] : ((mult(X0, ld(X1, X1)) = X0) & (mult(ld(X1, X1), X0) = X0))),
% 0.67/0.91 inference(modus_ponens,[status(thm)],[693, 692])).
% 0.67/0.91 tff(695,plain,
% 0.67/0.91 (~![X0: $i, X1: $i] : ((mult(X0, ld(X1, X1)) = X0) & (mult(ld(X1, X1), X0) = X0))),
% 0.67/0.91 inference(modus_ponens,[status(thm)],[694, 692])).
% 0.67/0.91 tff(696,plain,
% 0.67/0.91 (~![X0: $i, X1: $i] : ((mult(X0, ld(X1, X1)) = X0) & (mult(ld(X1, X1), X0) = X0))),
% 0.67/0.91 inference(modus_ponens,[status(thm)],[695, 692])).
% 0.67/0.91 tff(697,plain,
% 0.67/0.91 (~![X0: $i, X1: $i] : ((mult(X0, ld(X1, X1)) = X0) & (mult(ld(X1, X1), X0) = X0))),
% 0.67/0.91 inference(modus_ponens,[status(thm)],[696, 692])).
% 0.67/0.91 tff(698,plain,(
% 0.67/0.91 ~((mult(X0!1, ld(X1!0, X1!0)) = X0!1) & (mult(ld(X1!0, X1!0), X0!1) = X0!1))),
% 0.67/0.91 inference(skolemize,[status(sab)],[697])).
% 0.67/0.91 tff(699,plain,
% 0.67/0.91 ((~(mult(X0!1, ld(X1!0, X1!0)) = X0!1)) | (~(mult(ld(X1!0, X1!0), X0!1) = X0!1))),
% 0.67/0.91 inference(modus_ponens,[status(thm)],[698, 691])).
% 0.67/0.91 tff(700,plain,
% 0.67/0.91 ($false),
% 0.67/0.91 inference(unit_resolution,[status(thm)],[699, 687, 345])).
% 0.67/0.91 % SZS output end Proof
% 0.67/0.91 % E exiting
%------------------------------------------------------------------------------