%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GRP774+1 : TPTP v9.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n003.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 05:08:39 AM UTC 2025
% Result : Theorem 19.36s 19.56s
% Output : Proof 19.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP774+1 : TPTP v9.0.0. Released v4.1.0.
% 0.04/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n003.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 17:05:54 EDT 2025
% 0.12/0.34 % CPUTime :
% 19.36/19.56 % SZS status Theorem
% 19.36/19.56 % SZS output start Proof
% 19.36/19.56 tff(product_type, type, (
% 19.36/19.56 product: ( $i * $i ) > $i)).
% 19.36/19.56 tff(tptp_fun_X5_0_type, type, (
% 19.36/19.56 tptp_fun_X5_0: $i)).
% 19.36/19.56 tff(tptp_fun_X4_1_type, type, (
% 19.36/19.56 tptp_fun_X4_1: $i)).
% 19.36/19.56 tff(tptp_fun_X2_3_type, type, (
% 19.36/19.56 tptp_fun_X2_3: $i)).
% 19.36/19.56 tff(tptp_fun_X3_2_type, type, (
% 19.36/19.56 tptp_fun_X3_2: $i)).
% 19.36/19.56 tff(d_type, type, (
% 19.36/19.56 d: ( $i * $i ) > $o)).
% 19.36/19.56 tff(1,plain,
% 19.36/19.56 (^[C: $i, B: $i, A: $i] : refl((product(product(A, B), C) = product(A, product(B, C))) <=> (product(product(A, B), C) = product(A, product(B, C))))),
% 19.36/19.56 inference(bind,[status(th)],[])).
% 19.36/19.56 tff(2,plain,
% 19.36/19.56 (![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C))) <=> ![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))),
% 19.36/19.56 inference(quant_intro,[status(thm)],[1])).
% 19.36/19.56 tff(3,plain,
% 19.36/19.56 (![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C))) <=> ![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))),
% 19.36/19.56 inference(rewrite,[status(thm)],[])).
% 19.36/19.56 tff(4,axiom,(![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos01')).
% 19.36/19.56 tff(5,plain,
% 19.36/19.56 (![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))),
% 19.36/19.56 inference(modus_ponens,[status(thm)],[4, 3])).
% 19.36/19.56 tff(6,plain,(
% 19.36/19.56 ![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))),
% 19.36/19.56 inference(skolemize,[status(sab)],[5])).
% 19.36/19.56 tff(7,plain,
% 19.36/19.56 (![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))),
% 19.36/19.56 inference(modus_ponens,[status(thm)],[6, 2])).
% 19.36/19.56 tff(8,plain,
% 19.36/19.56 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), X4!1), X5!0) = product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.36/19.56 inference(quant_inst,[status(thm)],[])).
% 19.36/19.56 tff(9,plain,
% 19.36/19.56 (product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), X4!1), X5!0) = product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))),
% 19.36/19.56 inference(unit_resolution,[status(thm)],[8, 7])).
% 19.36/19.56 tff(10,plain,
% 19.36/19.56 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X2!3, product(X3!2, X2!3)), X4!1) = product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.36/19.56 inference(quant_inst,[status(thm)],[])).
% 19.36/19.56 tff(11,plain,
% 19.36/19.56 (product(product(X2!3, product(X3!2, X2!3)), X4!1) = product(X2!3, product(product(X3!2, X2!3), X4!1))),
% 19.36/19.56 inference(unit_resolution,[status(thm)],[10, 7])).
% 19.36/19.56 tff(12,plain,
% 19.36/19.56 (^[X0: $i, X1: $i] : refl((~(((~(product(X0, product(X1, X0)) = X0)) | (~(product(X1, product(X0, X1)) = X1))) <=> d(X0, X1))) <=> (~(((~(product(X0, product(X1, X0)) = X0)) | (~(product(X1, product(X0, X1)) = X1))) <=> d(X0, X1))))),
% 19.36/19.56 inference(bind,[status(th)],[])).
% 19.36/19.56 tff(13,plain,
% 19.36/19.56 (![X0: $i, X1: $i] : (~(((~(product(X0, product(X1, X0)) = X0)) | (~(product(X1, product(X0, X1)) = X1))) <=> d(X0, X1))) <=> ![X0: $i, X1: $i] : (~(((~(product(X0, product(X1, X0)) = X0)) | (~(product(X1, product(X0, X1)) = X1))) <=> d(X0, X1)))),
% 19.36/19.56 inference(quant_intro,[status(thm)],[12])).
% 19.36/19.56 tff(14,plain,
% 19.36/19.56 (^[X0: $i, X1: $i] : trans(trans(monotonicity(rewrite(((product(X0, product(X1, X0)) = X0) & (product(X1, product(X0, X1)) = X1)) <=> (~((~(product(X0, product(X1, X0)) = X0)) | (~(product(X1, product(X0, X1)) = X1))))), ((d(X0, X1) <=> ((product(X0, product(X1, X0)) = X0) & (product(X1, product(X0, X1)) = X1))) <=> (d(X0, X1) <=> (~((~(product(X0, product(X1, X0)) = X0)) | (~(product(X1, product(X0, X1)) = X1))))))), rewrite((d(X0, X1) <=> (~((~(product(X0, product(X1, X0)) = X0)) | (~(product(X1, product(X0, X1)) = X1))))) <=> (~(((~(product(X0, product(X1, X0)) = X0)) | (~(product(X1, product(X0, X1)) = X1))) <=> d(X0, X1)))), ((d(X0, X1) <=> ((product(X0, product(X1, X0)) = X0) & (product(X1, product(X0, X1)) = X1))) <=> (~(((~(product(X0, product(X1, X0)) = X0)) | (~(product(X1, product(X0, X1)) = X1))) <=> d(X0, X1))))), rewrite((~(((~(product(X0, product(X1, X0)) = X0)) | (~(product(X1, product(X0, X1)) = X1))) <=> d(X0, X1))) <=> (~(((~(product(X0, product(X1, X0)) = X0)) | (~(product(X1, product(X0, X1)) = X1))) <=> d(X0, X1)))), ((d(X0, X1) <=> ((product(X0, product(X1, X0)) = X0) & (product(X1, product(X0, X1)) = X1))) <=> (~(((~(product(X0, product(X1, X0)) = X0)) | (~(product(X1, product(X0, X1)) = X1))) <=> d(X0, X1)))))),
% 19.36/19.56 inference(bind,[status(th)],[])).
% 19.36/19.56 tff(15,plain,
% 19.36/19.56 (![X0: $i, X1: $i] : (d(X0, X1) <=> ((product(X0, product(X1, X0)) = X0) & (product(X1, product(X0, X1)) = X1))) <=> ![X0: $i, X1: $i] : (~(((~(product(X0, product(X1, X0)) = X0)) | (~(product(X1, product(X0, X1)) = X1))) <=> d(X0, X1)))),
% 19.36/19.56 inference(quant_intro,[status(thm)],[14])).
% 19.36/19.56 tff(16,plain,
% 19.36/19.56 (![X0: $i, X1: $i] : (d(X0, X1) <=> ((product(X0, product(X1, X0)) = X0) & (product(X1, product(X0, X1)) = X1))) <=> ![X0: $i, X1: $i] : (d(X0, X1) <=> ((product(X0, product(X1, X0)) = X0) & (product(X1, product(X0, X1)) = X1)))),
% 19.36/19.56 inference(rewrite,[status(thm)],[])).
% 19.36/19.56 tff(17,axiom,(![X0: $i, X1: $i] : (d(X0, X1) <=> ((product(X0, product(X1, X0)) = X0) & (product(X1, product(X0, X1)) = X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos03')).
% 19.36/19.56 tff(18,plain,
% 19.36/19.56 (![X0: $i, X1: $i] : (d(X0, X1) <=> ((product(X0, product(X1, X0)) = X0) & (product(X1, product(X0, X1)) = X1)))),
% 19.36/19.56 inference(modus_ponens,[status(thm)],[17, 16])).
% 19.36/19.56 tff(19,plain,(
% 19.36/19.56 ![X0: $i, X1: $i] : (d(X0, X1) <=> ((product(X0, product(X1, X0)) = X0) & (product(X1, product(X0, X1)) = X1)))),
% 19.36/19.56 inference(skolemize,[status(sab)],[18])).
% 19.36/19.56 tff(20,plain,
% 19.36/19.56 (![X0: $i, X1: $i] : (~(((~(product(X0, product(X1, X0)) = X0)) | (~(product(X1, product(X0, X1)) = X1))) <=> d(X0, X1)))),
% 19.36/19.56 inference(modus_ponens,[status(thm)],[19, 15])).
% 19.36/19.56 tff(21,plain,
% 19.36/19.56 (![X0: $i, X1: $i] : (~(((~(product(X0, product(X1, X0)) = X0)) | (~(product(X1, product(X0, X1)) = X1))) <=> d(X0, X1)))),
% 19.36/19.56 inference(modus_ponens,[status(thm)],[20, 13])).
% 19.36/19.56 tff(22,plain,
% 19.36/19.56 ((~![X0: $i, X1: $i] : (~(((~(product(X0, product(X1, X0)) = X0)) | (~(product(X1, product(X0, X1)) = X1))) <=> d(X0, X1)))) | (~(((~(product(X2!3, product(X3!2, X2!3)) = X2!3)) | (~(product(X3!2, product(X2!3, X3!2)) = X3!2))) <=> d(X2!3, X3!2)))),
% 19.36/19.56 inference(quant_inst,[status(thm)],[])).
% 19.36/19.56 tff(23,plain,
% 19.36/19.56 (~(((~(product(X2!3, product(X3!2, X2!3)) = X2!3)) | (~(product(X3!2, product(X2!3, X3!2)) = X3!2))) <=> d(X2!3, X3!2))),
% 19.36/19.56 inference(unit_resolution,[status(thm)],[22, 21])).
% 19.36/19.56 tff(24,plain,
% 19.36/19.56 ((~![X2: $i, X3: $i, X4: $i, X5: $i] : ((~(d(X2, X3) & d(X4, X5))) | d(product(X2, X4), product(X3, X5)))) <=> (~![X2: $i, X3: $i, X4: $i, X5: $i] : ((~(d(X2, X3) & d(X4, X5))) | d(product(X2, X4), product(X3, X5))))),
% 19.36/19.56 inference(rewrite,[status(thm)],[])).
% 19.36/19.56 tff(25,plain,
% 19.36/19.56 ((~![X2: $i, X3: $i, X4: $i, X5: $i] : ((d(X2, X3) & d(X4, X5)) => d(product(X2, X4), product(X3, X5)))) <=> (~![X2: $i, X3: $i, X4: $i, X5: $i] : ((~(d(X2, X3) & d(X4, X5))) | d(product(X2, X4), product(X3, X5))))),
% 19.36/19.56 inference(rewrite,[status(thm)],[])).
% 19.36/19.56 tff(26,axiom,(~![X2: $i, X3: $i, X4: $i, X5: $i] : ((d(X2, X3) & d(X4, X5)) => d(product(X2, X4), product(X3, X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','goals')).
% 19.36/19.56 tff(27,plain,
% 19.36/19.56 (~![X2: $i, X3: $i, X4: $i, X5: $i] : ((~(d(X2, X3) & d(X4, X5))) | d(product(X2, X4), product(X3, X5)))),
% 19.36/19.56 inference(modus_ponens,[status(thm)],[26, 25])).
% 19.36/19.56 tff(28,plain,
% 19.36/19.56 (~![X2: $i, X3: $i, X4: $i, X5: $i] : ((~(d(X2, X3) & d(X4, X5))) | d(product(X2, X4), product(X3, X5)))),
% 19.36/19.56 inference(modus_ponens,[status(thm)],[27, 24])).
% 19.36/19.56 tff(29,plain,
% 19.36/19.56 (~![X2: $i, X3: $i, X4: $i, X5: $i] : ((~(d(X2, X3) & d(X4, X5))) | d(product(X2, X4), product(X3, X5)))),
% 19.36/19.56 inference(modus_ponens,[status(thm)],[28, 24])).
% 19.36/19.56 tff(30,plain,
% 19.36/19.56 (~![X2: $i, X3: $i, X4: $i, X5: $i] : ((~(d(X2, X3) & d(X4, X5))) | d(product(X2, X4), product(X3, X5)))),
% 19.36/19.56 inference(modus_ponens,[status(thm)],[29, 24])).
% 19.36/19.56 tff(31,plain,(
% 19.36/19.56 ~((~(d(X2!3, X3!2) & d(X4!1, X5!0))) | d(product(X2!3, X4!1), product(X3!2, X5!0)))),
% 19.36/19.56 inference(skolemize,[status(sab)],[30])).
% 19.36/19.56 tff(32,plain,
% 19.36/19.56 (d(X2!3, X3!2) & d(X4!1, X5!0)),
% 19.36/19.56 inference(or_elim,[status(thm)],[31])).
% 19.36/19.56 tff(33,plain,
% 19.36/19.56 (d(X2!3, X3!2)),
% 19.36/19.56 inference(and_elim,[status(thm)],[32])).
% 19.36/19.56 tff(34,plain,
% 19.36/19.56 ((((~(product(X2!3, product(X3!2, X2!3)) = X2!3)) | (~(product(X3!2, product(X2!3, X3!2)) = X3!2))) <=> d(X2!3, X3!2)) | (~((~(product(X2!3, product(X3!2, X2!3)) = X2!3)) | (~(product(X3!2, product(X2!3, X3!2)) = X3!2)))) | (~d(X2!3, X3!2))),
% 19.36/19.56 inference(tautology,[status(thm)],[])).
% 19.36/19.56 tff(35,plain,
% 19.36/19.56 ((((~(product(X2!3, product(X3!2, X2!3)) = X2!3)) | (~(product(X3!2, product(X2!3, X3!2)) = X3!2))) <=> d(X2!3, X3!2)) | (~((~(product(X2!3, product(X3!2, X2!3)) = X2!3)) | (~(product(X3!2, product(X2!3, X3!2)) = X3!2))))),
% 19.36/19.56 inference(unit_resolution,[status(thm)],[34, 33])).
% 19.36/19.56 tff(36,plain,
% 19.36/19.56 (~((~(product(X2!3, product(X3!2, X2!3)) = X2!3)) | (~(product(X3!2, product(X2!3, X3!2)) = X3!2)))),
% 19.36/19.56 inference(unit_resolution,[status(thm)],[35, 23])).
% 19.36/19.56 tff(37,plain,
% 19.36/19.56 (((~(product(X2!3, product(X3!2, X2!3)) = X2!3)) | (~(product(X3!2, product(X2!3, X3!2)) = X3!2))) | (product(X2!3, product(X3!2, X2!3)) = X2!3)),
% 19.36/19.56 inference(tautology,[status(thm)],[])).
% 19.36/19.56 tff(38,plain,
% 19.36/19.56 (product(X2!3, product(X3!2, X2!3)) = X2!3),
% 19.36/19.56 inference(unit_resolution,[status(thm)],[37, 36])).
% 19.36/19.56 tff(39,plain,
% 19.36/19.56 (product(product(X2!3, product(X3!2, X2!3)), X4!1) = product(X2!3, X4!1)),
% 19.36/19.56 inference(monotonicity,[status(thm)],[38])).
% 19.36/19.56 tff(40,plain,
% 19.36/19.56 (product(X2!3, X4!1) = product(product(X2!3, product(X3!2, X2!3)), X4!1)),
% 19.36/19.56 inference(symmetry,[status(thm)],[39])).
% 19.36/19.56 tff(41,plain,
% 19.36/19.56 ((~![X0: $i, X1: $i] : (~(((~(product(X0, product(X1, X0)) = X0)) | (~(product(X1, product(X0, X1)) = X1))) <=> d(X0, X1)))) | (~(((~(product(X4!1, product(X5!0, X4!1)) = X4!1)) | (~(product(X5!0, product(X4!1, X5!0)) = X5!0))) <=> d(X4!1, X5!0)))),
% 19.36/19.56 inference(quant_inst,[status(thm)],[])).
% 19.36/19.56 tff(42,plain,
% 19.36/19.56 (~(((~(product(X4!1, product(X5!0, X4!1)) = X4!1)) | (~(product(X5!0, product(X4!1, X5!0)) = X5!0))) <=> d(X4!1, X5!0))),
% 19.36/19.56 inference(unit_resolution,[status(thm)],[41, 21])).
% 19.36/19.56 tff(43,plain,
% 19.36/19.56 (d(X4!1, X5!0)),
% 19.36/19.56 inference(and_elim,[status(thm)],[32])).
% 19.36/19.56 tff(44,plain,
% 19.36/19.56 ((((~(product(X4!1, product(X5!0, X4!1)) = X4!1)) | (~(product(X5!0, product(X4!1, X5!0)) = X5!0))) <=> d(X4!1, X5!0)) | (~((~(product(X4!1, product(X5!0, X4!1)) = X4!1)) | (~(product(X5!0, product(X4!1, X5!0)) = X5!0)))) | (~d(X4!1, X5!0))),
% 19.36/19.56 inference(tautology,[status(thm)],[])).
% 19.36/19.56 tff(45,plain,
% 19.36/19.56 ((((~(product(X4!1, product(X5!0, X4!1)) = X4!1)) | (~(product(X5!0, product(X4!1, X5!0)) = X5!0))) <=> d(X4!1, X5!0)) | (~((~(product(X4!1, product(X5!0, X4!1)) = X4!1)) | (~(product(X5!0, product(X4!1, X5!0)) = X5!0))))),
% 19.36/19.56 inference(unit_resolution,[status(thm)],[44, 43])).
% 19.36/19.56 tff(46,plain,
% 19.36/19.56 (~((~(product(X4!1, product(X5!0, X4!1)) = X4!1)) | (~(product(X5!0, product(X4!1, X5!0)) = X5!0)))),
% 19.36/19.56 inference(unit_resolution,[status(thm)],[45, 42])).
% 19.36/19.56 tff(47,plain,
% 19.36/19.56 (((~(product(X4!1, product(X5!0, X4!1)) = X4!1)) | (~(product(X5!0, product(X4!1, X5!0)) = X5!0))) | (product(X4!1, product(X5!0, X4!1)) = X4!1)),
% 19.36/19.56 inference(tautology,[status(thm)],[])).
% 19.36/19.56 tff(48,plain,
% 19.36/19.56 (product(X4!1, product(X5!0, X4!1)) = X4!1),
% 19.36/19.56 inference(unit_resolution,[status(thm)],[47, 46])).
% 19.36/19.56 tff(49,plain,
% 19.36/19.56 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X4!1, X5!0), X4!1) = product(X4!1, product(X5!0, X4!1)))),
% 19.36/19.56 inference(quant_inst,[status(thm)],[])).
% 19.36/19.56 tff(50,plain,
% 19.36/19.56 (product(product(X4!1, X5!0), X4!1) = product(X4!1, product(X5!0, X4!1))),
% 19.36/19.56 inference(unit_resolution,[status(thm)],[49, 7])).
% 19.36/19.56 tff(51,plain,
% 19.36/19.56 (X4!1 = product(X4!1, product(X5!0, X4!1))),
% 19.36/19.56 inference(symmetry,[status(thm)],[48])).
% 19.36/19.56 tff(52,plain,
% 19.36/19.56 (product(X4!1, X5!0) = product(product(X4!1, product(X5!0, X4!1)), X5!0)),
% 19.36/19.56 inference(monotonicity,[status(thm)],[51])).
% 19.36/19.56 tff(53,plain,
% 19.36/19.56 (product(product(X4!1, product(X5!0, X4!1)), X5!0) = product(X4!1, X5!0)),
% 19.36/19.56 inference(symmetry,[status(thm)],[52])).
% 19.36/19.56 tff(54,plain,
% 19.36/19.56 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X4!1, product(X5!0, X4!1)), X5!0) = product(X4!1, product(product(X5!0, X4!1), X5!0)))),
% 19.36/19.56 inference(quant_inst,[status(thm)],[])).
% 19.36/19.56 tff(55,plain,
% 19.36/19.56 (product(product(X4!1, product(X5!0, X4!1)), X5!0) = product(X4!1, product(product(X5!0, X4!1), X5!0))),
% 19.36/19.56 inference(unit_resolution,[status(thm)],[54, 7])).
% 19.36/19.56 tff(56,plain,
% 19.36/19.56 (product(X4!1, product(product(X5!0, X4!1), X5!0)) = product(product(X4!1, product(X5!0, X4!1)), X5!0)),
% 19.36/19.56 inference(symmetry,[status(thm)],[55])).
% 19.36/19.56 tff(57,plain,
% 19.36/19.56 (product(X4!1, product(product(X5!0, X4!1), X5!0)) = product(X4!1, X5!0)),
% 19.36/19.56 inference(transitivity,[status(thm)],[56, 53])).
% 19.36/19.56 tff(58,plain,
% 19.36/19.56 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X4!1) = product(product(X4!1, X5!0), X4!1)),
% 19.36/19.56 inference(monotonicity,[status(thm)],[57])).
% 19.36/19.56 tff(59,plain,
% 19.36/19.56 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X4!1) = X4!1),
% 19.36/19.56 inference(transitivity,[status(thm)],[58, 50, 48])).
% 19.36/19.56 tff(60,plain,
% 19.36/19.56 (product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X4!1)) = product(X2!3, X4!1)),
% 19.36/19.56 inference(monotonicity,[status(thm)],[59])).
% 19.36/19.56 tff(61,plain,
% 19.36/19.56 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), X4!1) = product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X4!1)))),
% 19.36/19.56 inference(quant_inst,[status(thm)],[])).
% 19.36/19.56 tff(62,plain,
% 19.36/19.56 (product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), X4!1) = product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X4!1))),
% 19.36/19.56 inference(unit_resolution,[status(thm)],[61, 7])).
% 19.36/19.56 tff(63,plain,
% 19.36/19.56 (product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), X4!1) = product(X2!3, product(product(X3!2, X2!3), X4!1))),
% 19.36/19.56 inference(transitivity,[status(thm)],[62, 60, 40, 11])).
% 19.36/19.56 tff(64,plain,
% 19.36/19.56 (product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), X4!1), X5!0) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0)),
% 19.36/19.56 inference(monotonicity,[status(thm)],[63])).
% 19.36/19.56 tff(65,plain,
% 19.36/19.56 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0) = product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), X4!1), X5!0)),
% 19.36/19.56 inference(symmetry,[status(thm)],[64])).
% 19.36/19.56 tff(66,plain,
% 19.36/19.56 (product(X2!3, product(product(X3!2, X2!3), X4!1)) = product(product(X2!3, product(X3!2, X2!3)), X4!1)),
% 19.36/19.56 inference(symmetry,[status(thm)],[11])).
% 19.36/19.56 tff(67,plain,
% 19.36/19.56 (product(X2!3, product(product(X3!2, X2!3), X4!1)) = product(X2!3, X4!1)),
% 19.36/19.56 inference(transitivity,[status(thm)],[66, 39])).
% 19.36/19.56 tff(68,plain,
% 19.36/19.56 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0) = product(product(X2!3, X4!1), X5!0)),
% 19.36/19.56 inference(monotonicity,[status(thm)],[67])).
% 19.36/19.56 tff(69,plain,
% 19.36/19.56 (product(product(X2!3, X4!1), X5!0) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0)),
% 19.36/19.56 inference(symmetry,[status(thm)],[68])).
% 19.36/19.56 tff(70,plain,
% 19.36/19.56 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X2!3, X4!1), X5!0) = product(X2!3, product(X4!1, X5!0)))),
% 19.36/19.56 inference(quant_inst,[status(thm)],[])).
% 19.36/19.56 tff(71,plain,
% 19.36/19.56 (product(product(X2!3, X4!1), X5!0) = product(X2!3, product(X4!1, X5!0))),
% 19.36/19.56 inference(unit_resolution,[status(thm)],[70, 7])).
% 19.36/19.56 tff(72,plain,
% 19.36/19.56 (product(X2!3, product(X4!1, X5!0)) = product(product(X2!3, X4!1), X5!0)),
% 19.36/19.56 inference(symmetry,[status(thm)],[71])).
% 19.36/19.56 tff(73,plain,
% 19.36/19.56 (product(X4!1, X5!0) = product(X4!1, product(product(X5!0, X4!1), X5!0))),
% 19.36/19.56 inference(transitivity,[status(thm)],[52, 55])).
% 19.36/19.56 tff(74,plain,
% 19.36/19.56 (product(X2!3, product(X4!1, X5!0)) = product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0)))),
% 19.36/19.56 inference(monotonicity,[status(thm)],[73])).
% 19.36/19.56 tff(75,plain,
% 19.36/19.56 (product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))) = product(X2!3, product(X4!1, X5!0))),
% 19.36/19.56 inference(symmetry,[status(thm)],[74])).
% 19.36/19.57 tff(76,plain,
% 19.36/19.57 (((~(product(X2!3, product(X3!2, X2!3)) = X2!3)) | (~(product(X3!2, product(X2!3, X3!2)) = X3!2))) | (product(X3!2, product(X2!3, X3!2)) = X3!2)),
% 19.36/19.57 inference(tautology,[status(thm)],[])).
% 19.36/19.57 tff(77,plain,
% 19.36/19.57 (product(X3!2, product(X2!3, X3!2)) = X3!2),
% 19.36/19.57 inference(unit_resolution,[status(thm)],[76, 36])).
% 19.36/19.57 tff(78,plain,
% 19.36/19.57 (X3!2 = product(X3!2, product(X2!3, X3!2))),
% 19.36/19.57 inference(symmetry,[status(thm)],[77])).
% 19.36/19.57 tff(79,plain,
% 19.36/19.57 (product(X3!2, X2!3) = product(product(X3!2, product(X2!3, X3!2)), X2!3)),
% 19.36/19.57 inference(monotonicity,[status(thm)],[78])).
% 19.36/19.57 tff(80,plain,
% 19.36/19.57 (product(product(X3!2, product(X2!3, X3!2)), X2!3) = product(X3!2, X2!3)),
% 19.36/19.57 inference(symmetry,[status(thm)],[79])).
% 19.36/19.57 tff(81,plain,
% 19.36/19.57 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X3!2, product(X2!3, X3!2)), X2!3) = product(X3!2, product(product(X2!3, X3!2), X2!3)))),
% 19.36/19.57 inference(quant_inst,[status(thm)],[])).
% 19.36/19.57 tff(82,plain,
% 19.36/19.57 (product(product(X3!2, product(X2!3, X3!2)), X2!3) = product(X3!2, product(product(X2!3, X3!2), X2!3))),
% 19.36/19.57 inference(unit_resolution,[status(thm)],[81, 7])).
% 19.36/19.57 tff(83,plain,
% 19.36/19.57 (product(X3!2, product(product(X2!3, X3!2), X2!3)) = product(product(X3!2, product(X2!3, X3!2)), X2!3)),
% 19.36/19.57 inference(symmetry,[status(thm)],[82])).
% 19.36/19.57 tff(84,plain,
% 19.36/19.57 (product(X3!2, product(product(X2!3, X3!2), X2!3)) = product(X3!2, X2!3)),
% 19.36/19.57 inference(transitivity,[status(thm)],[83, 80])).
% 19.36/19.57 tff(85,plain,
% 19.36/19.57 (product(X2!3, product(X3!2, product(product(X2!3, X3!2), X2!3))) = product(X2!3, product(X3!2, X2!3))),
% 19.36/19.57 inference(monotonicity,[status(thm)],[84])).
% 19.36/19.57 tff(86,plain,
% 19.36/19.57 (product(X2!3, product(X3!2, X2!3)) = product(X2!3, product(X3!2, product(product(X2!3, X3!2), X2!3)))),
% 19.36/19.57 inference(symmetry,[status(thm)],[85])).
% 19.36/19.57 tff(87,plain,
% 19.36/19.57 (X2!3 = product(X2!3, product(X3!2, X2!3))),
% 19.36/19.57 inference(symmetry,[status(thm)],[38])).
% 19.36/19.57 tff(88,plain,
% 19.36/19.57 (X2!3 = product(X2!3, product(X3!2, product(product(X2!3, X3!2), X2!3)))),
% 19.36/19.57 inference(transitivity,[status(thm)],[87, 86])).
% 19.36/19.57 tff(89,plain,
% 19.36/19.57 (product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))) = product(product(X2!3, product(X3!2, product(product(X2!3, X3!2), X2!3))), product(X4!1, product(product(X5!0, X4!1), X5!0)))),
% 19.36/19.57 inference(monotonicity,[status(thm)],[88])).
% 19.36/19.57 tff(90,plain,
% 19.36/19.57 (product(product(X2!3, product(X3!2, product(product(X2!3, X3!2), X2!3))), product(X4!1, product(product(X5!0, X4!1), X5!0))) = product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0)))),
% 19.36/19.57 inference(symmetry,[status(thm)],[89])).
% 19.36/19.57 tff(91,plain,
% 19.36/19.57 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X2!3, product(X3!2, product(product(X2!3, X3!2), X2!3))), product(X4!1, product(product(X5!0, X4!1), X5!0))) = product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0)))))),
% 19.36/19.57 inference(quant_inst,[status(thm)],[])).
% 19.36/19.57 tff(92,plain,
% 19.36/19.57 (product(product(X2!3, product(X3!2, product(product(X2!3, X3!2), X2!3))), product(X4!1, product(product(X5!0, X4!1), X5!0))) = product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0))))),
% 19.36/19.57 inference(unit_resolution,[status(thm)],[91, 7])).
% 19.36/19.57 tff(93,plain,
% 19.36/19.57 (product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0)))) = product(product(X2!3, product(X3!2, product(product(X2!3, X3!2), X2!3))), product(X4!1, product(product(X5!0, X4!1), X5!0)))),
% 19.36/19.57 inference(symmetry,[status(thm)],[92])).
% 19.36/19.57 tff(94,plain,
% 19.36/19.57 (product(product(X3!2, product(product(X2!3, X3!2), X2!3)), X4!1) = product(product(X3!2, X2!3), X4!1)),
% 19.36/19.57 inference(monotonicity,[status(thm)],[84])).
% 19.36/19.57 tff(95,plain,
% 19.36/19.57 (product(product(X3!2, X2!3), X4!1) = product(product(X3!2, product(product(X2!3, X3!2), X2!3)), X4!1)),
% 19.36/19.57 inference(symmetry,[status(thm)],[94])).
% 19.36/19.57 tff(96,plain,
% 19.36/19.57 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X3!2, X2!3), X4!1) = product(X3!2, product(X2!3, X4!1)))),
% 19.36/19.57 inference(quant_inst,[status(thm)],[])).
% 19.36/19.57 tff(97,plain,
% 19.36/19.57 (product(product(X3!2, X2!3), X4!1) = product(X3!2, product(X2!3, X4!1))),
% 19.36/19.57 inference(unit_resolution,[status(thm)],[96, 7])).
% 19.36/19.57 tff(98,plain,
% 19.36/19.57 (product(X3!2, product(X2!3, X4!1)) = product(product(X3!2, X2!3), X4!1)),
% 19.36/19.57 inference(symmetry,[status(thm)],[97])).
% 19.36/19.57 tff(99,plain,
% 19.36/19.57 (product(X3!2, product(X2!3, X4!1)) = product(product(X3!2, product(product(X2!3, X3!2), X2!3)), X4!1)),
% 19.36/19.57 inference(transitivity,[status(thm)],[98, 95])).
% 19.36/19.57 tff(100,plain,
% 19.36/19.57 (product(product(X3!2, product(X2!3, X4!1)), X5!0) = product(product(product(X3!2, product(product(X2!3, X3!2), X2!3)), X4!1), X5!0)),
% 19.36/19.57 inference(monotonicity,[status(thm)],[99])).
% 19.36/19.57 tff(101,plain,
% 19.36/19.57 (product(product(product(X3!2, product(product(X2!3, X3!2), X2!3)), X4!1), X5!0) = product(product(X3!2, product(X2!3, X4!1)), X5!0)),
% 19.36/19.57 inference(symmetry,[status(thm)],[100])).
% 19.36/19.57 tff(102,plain,
% 19.36/19.57 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X3!2, product(product(X2!3, X3!2), X2!3)), X4!1), X5!0) = product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, X5!0)))),
% 19.36/19.57 inference(quant_inst,[status(thm)],[])).
% 19.36/19.57 tff(103,plain,
% 19.36/19.57 (product(product(product(X3!2, product(product(X2!3, X3!2), X2!3)), X4!1), X5!0) = product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, X5!0))),
% 19.36/19.57 inference(unit_resolution,[status(thm)],[102, 7])).
% 19.36/19.57 tff(104,plain,
% 19.36/19.57 (product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, X5!0)) = product(product(product(X3!2, product(product(X2!3, X3!2), X2!3)), X4!1), X5!0)),
% 19.36/19.57 inference(symmetry,[status(thm)],[103])).
% 19.36/19.57 tff(105,plain,
% 19.36/19.57 (product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, X5!0)) = product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0)))),
% 19.36/19.57 inference(monotonicity,[status(thm)],[73])).
% 19.36/19.57 tff(106,plain,
% 19.36/19.57 (product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0))) = product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, X5!0))),
% 19.36/19.57 inference(symmetry,[status(thm)],[105])).
% 19.36/19.57 tff(107,plain,
% 19.36/19.57 (product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X3!2, product(product(X2!3, X3!2), X2!3))) = product(product(X3!2, X2!3), product(X3!2, X2!3))),
% 19.36/19.57 inference(monotonicity,[status(thm)],[84, 84])).
% 19.36/19.57 tff(108,plain,
% 19.36/19.57 (product(product(X3!2, X2!3), product(X3!2, X2!3)) = product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X3!2, product(product(X2!3, X3!2), X2!3)))),
% 19.36/19.57 inference(symmetry,[status(thm)],[107])).
% 19.36/19.57 tff(109,plain,
% 19.36/19.57 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X3!2, X2!3), product(X3!2, X2!3)) = product(X3!2, product(X2!3, product(X3!2, X2!3))))),
% 19.36/19.57 inference(quant_inst,[status(thm)],[])).
% 19.36/19.57 tff(110,plain,
% 19.36/19.57 (product(product(X3!2, X2!3), product(X3!2, X2!3)) = product(X3!2, product(X2!3, product(X3!2, X2!3)))),
% 19.36/19.57 inference(unit_resolution,[status(thm)],[109, 7])).
% 19.36/19.57 tff(111,plain,
% 19.36/19.57 (product(X3!2, product(X2!3, product(X3!2, X2!3))) = product(product(X3!2, X2!3), product(X3!2, X2!3))),
% 19.36/19.57 inference(symmetry,[status(thm)],[110])).
% 19.36/19.57 tff(112,plain,
% 19.36/19.57 (product(X3!2, product(X2!3, product(X3!2, X2!3))) = product(X3!2, X2!3)),
% 19.36/19.57 inference(monotonicity,[status(thm)],[38])).
% 19.36/19.57 tff(113,plain,
% 19.36/19.57 (product(X3!2, X2!3) = product(X3!2, product(X2!3, product(X3!2, X2!3)))),
% 19.36/19.57 inference(symmetry,[status(thm)],[112])).
% 19.36/19.57 tff(114,plain,
% 19.36/19.57 (product(X3!2, product(product(X2!3, X3!2), X2!3)) = product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X3!2, product(product(X2!3, X3!2), X2!3)))),
% 19.36/19.57 inference(transitivity,[status(thm)],[83, 80, 113, 111, 108])).
% 19.36/19.57 tff(115,plain,
% 19.36/19.57 (product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0))) = product(product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X3!2, product(product(X2!3, X3!2), X2!3))), product(X4!1, product(product(X5!0, X4!1), X5!0)))),
% 19.36/19.57 inference(monotonicity,[status(thm)],[114])).
% 19.36/19.57 tff(116,plain,
% 19.36/19.57 (product(product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X3!2, product(product(X2!3, X3!2), X2!3))), product(X4!1, product(product(X5!0, X4!1), X5!0))) = product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0)))),
% 19.36/19.57 inference(symmetry,[status(thm)],[115])).
% 19.36/19.57 tff(117,plain,
% 19.36/19.57 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X3!2, product(product(X2!3, X3!2), X2!3))), product(X4!1, product(product(X5!0, X4!1), X5!0))) = product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0)))))),
% 19.36/19.57 inference(quant_inst,[status(thm)],[])).
% 19.36/19.57 tff(118,plain,
% 19.36/19.57 (product(product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X3!2, product(product(X2!3, X3!2), X2!3))), product(X4!1, product(product(X5!0, X4!1), X5!0))) = product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0))))),
% 19.36/19.57 inference(unit_resolution,[status(thm)],[117, 7])).
% 19.36/19.57 tff(119,plain,
% 19.36/19.57 (product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0)))) = product(product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X3!2, product(product(X2!3, X3!2), X2!3))), product(X4!1, product(product(X5!0, X4!1), X5!0)))),
% 19.36/19.57 inference(symmetry,[status(thm)],[118])).
% 19.36/19.57 tff(120,plain,
% 19.36/19.57 (product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0)))) = product(product(X3!2, product(X2!3, X4!1)), X5!0)),
% 19.36/19.57 inference(transitivity,[status(thm)],[119, 116, 106, 104, 101])).
% 19.36/19.57 tff(121,plain,
% 19.36/19.57 (product(product(X3!2, product(X2!3, X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0))))) = product(product(X3!2, product(X2!3, X4!1)), product(product(X3!2, product(X2!3, X4!1)), X5!0))),
% 19.36/19.57 inference(monotonicity,[status(thm)],[120])).
% 19.36/19.57 tff(122,plain,
% 19.36/19.57 (product(product(X3!2, product(X2!3, X4!1)), product(product(X3!2, product(X2!3, X4!1)), X5!0)) = product(product(X3!2, product(X2!3, X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0)))))),
% 19.36/19.57 inference(symmetry,[status(thm)],[121])).
% 19.36/19.57 tff(123,plain,
% 19.36/19.57 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X3!2, product(X2!3, X4!1)), product(X3!2, product(X2!3, X4!1))), X5!0) = product(product(X3!2, product(X2!3, X4!1)), product(product(X3!2, product(X2!3, X4!1)), X5!0)))),
% 19.36/19.57 inference(quant_inst,[status(thm)],[])).
% 19.36/19.57 tff(124,plain,
% 19.36/19.57 (product(product(product(X3!2, product(X2!3, X4!1)), product(X3!2, product(X2!3, X4!1))), X5!0) = product(product(X3!2, product(X2!3, X4!1)), product(product(X3!2, product(X2!3, X4!1)), X5!0))),
% 19.36/19.57 inference(unit_resolution,[status(thm)],[123, 7])).
% 19.36/19.57 tff(125,plain,
% 19.36/19.57 (^[A: $i] : refl((product(A, A) = A) <=> (product(A, A) = A))),
% 19.36/19.57 inference(bind,[status(th)],[])).
% 19.36/19.57 tff(126,plain,
% 19.36/19.57 (![A: $i] : (product(A, A) = A) <=> ![A: $i] : (product(A, A) = A)),
% 19.36/19.57 inference(quant_intro,[status(thm)],[125])).
% 19.36/19.57 tff(127,plain,
% 19.36/19.57 (![A: $i] : (product(A, A) = A) <=> ![A: $i] : (product(A, A) = A)),
% 19.36/19.57 inference(rewrite,[status(thm)],[])).
% 19.36/19.57 tff(128,axiom,(![A: $i] : (product(A, A) = A)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos02')).
% 19.36/19.57 tff(129,plain,
% 19.36/19.57 (![A: $i] : (product(A, A) = A)),
% 19.36/19.57 inference(modus_ponens,[status(thm)],[128, 127])).
% 19.36/19.57 tff(130,plain,(
% 19.36/19.57 ![A: $i] : (product(A, A) = A)),
% 19.36/19.57 inference(skolemize,[status(sab)],[129])).
% 19.36/19.57 tff(131,plain,
% 19.36/19.57 (![A: $i] : (product(A, A) = A)),
% 19.36/19.57 inference(modus_ponens,[status(thm)],[130, 126])).
% 19.36/19.57 tff(132,plain,
% 19.36/19.57 ((~![A: $i] : (product(A, A) = A)) | (product(product(X3!2, product(X2!3, X4!1)), product(X3!2, product(X2!3, X4!1))) = product(X3!2, product(X2!3, X4!1)))),
% 19.36/19.57 inference(quant_inst,[status(thm)],[])).
% 19.36/19.57 tff(133,plain,
% 19.36/19.57 (product(product(X3!2, product(X2!3, X4!1)), product(X3!2, product(X2!3, X4!1))) = product(X3!2, product(X2!3, X4!1))),
% 19.36/19.57 inference(unit_resolution,[status(thm)],[132, 131])).
% 19.36/19.57 tff(134,plain,
% 19.36/19.57 (product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X3!2, product(product(X2!3, X3!2), X2!3))) = product(X3!2, X2!3)),
% 19.36/19.57 inference(transitivity,[status(thm)],[107, 110, 112])).
% 19.36/19.57 tff(135,plain,
% 19.36/19.57 (product(product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X3!2, product(product(X2!3, X3!2), X2!3))), X4!1) = product(product(X3!2, X2!3), X4!1)),
% 19.36/19.57 inference(monotonicity,[status(thm)],[134])).
% 19.36/19.57 tff(136,plain,
% 19.36/19.57 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X3!2, product(product(X2!3, X3!2), X2!3))), X4!1) = product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), X4!1)))),
% 19.36/19.57 inference(quant_inst,[status(thm)],[])).
% 19.36/19.57 tff(137,plain,
% 19.36/19.57 (product(product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X3!2, product(product(X2!3, X3!2), X2!3))), X4!1) = product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), X4!1))),
% 19.36/19.57 inference(unit_resolution,[status(thm)],[136, 7])).
% 19.36/19.57 tff(138,plain,
% 19.36/19.57 (product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), X4!1)) = product(product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X3!2, product(product(X2!3, X3!2), X2!3))), X4!1)),
% 19.36/19.57 inference(symmetry,[status(thm)],[137])).
% 19.36/19.57 tff(139,plain,
% 19.36/19.57 (product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, X2!3), X4!1)) = product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), X4!1))),
% 19.36/19.57 inference(monotonicity,[status(thm)],[95])).
% 19.36/19.57 tff(140,plain,
% 19.36/19.57 (product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X3!2, product(X2!3, X4!1))) = product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, X2!3), X4!1))),
% 19.36/19.57 inference(monotonicity,[status(thm)],[98])).
% 19.36/19.57 tff(141,plain,
% 19.36/19.57 (product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X3!2, product(X2!3, X4!1))) = product(X3!2, product(X2!3, X4!1))),
% 19.36/19.57 inference(transitivity,[status(thm)],[140, 139, 138, 135, 97])).
% 19.36/19.57 tff(142,plain,
% 19.36/19.57 (product(product(X3!2, product(X2!3, X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X3!2, product(X2!3, X4!1)))) = product(product(X3!2, product(X2!3, X4!1)), product(X3!2, product(X2!3, X4!1)))),
% 19.36/19.57 inference(monotonicity,[status(thm)],[141])).
% 19.36/19.57 tff(143,plain,
% 19.36/19.57 (product(product(X3!2, product(X2!3, X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X3!2, product(X2!3, X4!1)))) = product(X3!2, product(X2!3, X4!1))),
% 19.36/19.57 inference(transitivity,[status(thm)],[142, 133])).
% 19.36/19.57 tff(144,assumption,(~(product(product(X3!2, product(X2!3, X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X3!2, product(X2!3, X4!1)))) = product(X3!2, product(X2!3, X4!1)))), introduced(assumption)).
% 19.36/19.57 tff(145,plain,
% 19.36/19.57 ($false),
% 19.36/19.57 inference(unit_resolution,[status(thm)],[144, 143])).
% 19.36/19.57 tff(146,plain,(product(product(X3!2, product(X2!3, X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X3!2, product(X2!3, X4!1)))) = product(X3!2, product(X2!3, X4!1))), inference(lemma,lemma(discharge,[]))).
% 19.36/19.57 tff(147,plain,
% 19.36/19.57 (product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, X2!3), X4!1)) = product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X3!2, product(X2!3, X4!1)))),
% 19.36/19.57 inference(symmetry,[status(thm)],[140])).
% 19.36/19.57 tff(148,plain,
% 19.36/19.57 (product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), X4!1)) = product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, X2!3), X4!1))),
% 19.36/19.57 inference(symmetry,[status(thm)],[139])).
% 19.36/19.57 tff(149,plain,
% 19.36/19.57 (product(product(X3!2, X2!3), X4!1) = product(product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X3!2, product(product(X2!3, X3!2), X2!3))), X4!1)),
% 19.36/19.57 inference(symmetry,[status(thm)],[135])).
% 19.36/19.57 tff(150,plain,
% 19.36/19.57 (product(X3!2, product(X2!3, X4!1)) = product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X3!2, product(X2!3, X4!1)))),
% 19.36/19.57 inference(transitivity,[status(thm)],[98, 149, 137, 148, 147])).
% 19.36/19.57 tff(151,plain,
% 19.36/19.57 (product(product(X3!2, product(X2!3, X4!1)), product(X3!2, product(X2!3, X4!1))) = product(product(X3!2, product(X2!3, X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X3!2, product(X2!3, X4!1))))),
% 19.36/19.57 inference(monotonicity,[status(thm)],[150])).
% 19.36/19.57 tff(152,plain,
% 19.36/19.57 (product(product(X3!2, product(X2!3, X4!1)), product(X3!2, product(X2!3, X4!1))) = product(product(X3!2, product(product(X2!3, X3!2), X2!3)), X4!1)),
% 19.36/19.57 inference(transitivity,[status(thm)],[151, 146, 98, 95])).
% 19.36/19.57 tff(153,plain,
% 19.36/19.57 (product(product(product(X3!2, product(X2!3, X4!1)), product(X3!2, product(X2!3, X4!1))), X5!0) = product(product(product(X3!2, product(product(X2!3, X3!2), X2!3)), X4!1), X5!0)),
% 19.36/19.57 inference(monotonicity,[status(thm)],[152])).
% 19.36/19.57 tff(154,plain,
% 19.36/19.57 (product(product(product(X3!2, product(product(X2!3, X3!2), X2!3)), X4!1), X5!0) = product(product(product(X3!2, product(X2!3, X4!1)), product(X3!2, product(X2!3, X4!1))), X5!0)),
% 19.36/19.57 inference(symmetry,[status(thm)],[153])).
% 19.36/19.57 tff(155,plain,
% 19.36/19.57 (product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0))) = product(product(X3!2, product(X2!3, X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0)))))),
% 19.36/19.57 inference(transitivity,[status(thm)],[106, 104, 154, 124, 122])).
% 19.36/19.57 tff(156,plain,
% 19.36/19.57 (product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0)))) = product(X2!3, product(product(X3!2, product(X2!3, X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0))))))),
% 19.36/19.57 inference(monotonicity,[status(thm)],[155])).
% 19.36/19.57 tff(157,plain,
% 19.36/19.57 (product(X2!3, product(product(X3!2, product(X2!3, X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0)))))) = product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0))))),
% 19.36/19.57 inference(symmetry,[status(thm)],[156])).
% 19.36/19.57 tff(158,plain,
% 19.36/19.57 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X2!3, product(X3!2, product(X2!3, X4!1))), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0))))) = product(X2!3, product(product(X3!2, product(X2!3, X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0)))))))),
% 19.36/19.57 inference(quant_inst,[status(thm)],[])).
% 19.36/19.57 tff(159,plain,
% 19.36/19.57 (product(product(X2!3, product(X3!2, product(X2!3, X4!1))), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0))))) = product(X2!3, product(product(X3!2, product(X2!3, X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0))))))),
% 19.36/19.58 inference(unit_resolution,[status(thm)],[158, 7])).
% 19.36/19.58 tff(160,plain,
% 19.36/19.58 (product(X2!3, product(X3!2, product(X2!3, X4!1))) = product(X2!3, product(product(X3!2, X2!3), X4!1))),
% 19.36/19.58 inference(monotonicity,[status(thm)],[98])).
% 19.36/19.58 tff(161,plain,
% 19.36/19.58 (product(product(X2!3, product(X3!2, product(X2!3, X4!1))), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0))))) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0)))))),
% 19.36/19.58 inference(monotonicity,[status(thm)],[160])).
% 19.36/19.58 tff(162,plain,
% 19.36/19.58 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0))))) = product(product(X2!3, product(X3!2, product(X2!3, X4!1))), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0)))))),
% 19.36/19.58 inference(symmetry,[status(thm)],[161])).
% 19.36/19.58 tff(163,plain,
% 19.36/19.58 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X2!3, product(product(X3!2, product(X2!3, X4!1)), X3!2)), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(X2!3, product(product(product(X3!2, product(X2!3, X4!1)), X3!2), product(X2!3, product(product(X3!2, X2!3), X4!1)))))),
% 19.36/19.58 inference(quant_inst,[status(thm)],[])).
% 19.36/19.58 tff(164,plain,
% 19.36/19.58 (product(product(X2!3, product(product(X3!2, product(X2!3, X4!1)), X3!2)), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(X2!3, product(product(product(X3!2, product(X2!3, X4!1)), X3!2), product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.36/19.58 inference(unit_resolution,[status(thm)],[163, 7])).
% 19.36/19.58 tff(165,plain,
% 19.36/19.58 (product(X2!3, product(product(product(X3!2, product(X2!3, X4!1)), X3!2), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(product(X2!3, product(product(X3!2, product(X2!3, X4!1)), X3!2)), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.36/19.58 inference(symmetry,[status(thm)],[164])).
% 19.36/19.58 tff(166,plain,
% 19.36/19.58 (product(X3!2, product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(X3!2, product(X2!3, X4!1))),
% 19.36/19.58 inference(monotonicity,[status(thm)],[67])).
% 19.36/19.58 tff(167,plain,
% 19.36/19.58 (product(X3!2, product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X3!2, product(X2!3, X4!1)))),
% 19.36/19.58 inference(transitivity,[status(thm)],[166, 98, 149, 137, 148, 147])).
% 19.36/19.58 tff(168,plain,
% 19.36/19.58 (product(product(X3!2, product(X2!3, X4!1)), product(X3!2, product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(product(X3!2, product(X2!3, X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X3!2, product(X2!3, X4!1))))),
% 19.36/19.58 inference(monotonicity,[status(thm)],[167])).
% 19.36/19.58 tff(169,plain,
% 19.36/19.58 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X3!2, product(X2!3, X4!1)), X3!2), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(X3!2, product(X2!3, X4!1)), product(X3!2, product(X2!3, product(product(X3!2, X2!3), X4!1)))))),
% 19.36/19.58 inference(quant_inst,[status(thm)],[])).
% 19.36/19.58 tff(170,plain,
% 19.36/19.58 (product(product(product(X3!2, product(X2!3, X4!1)), X3!2), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(X3!2, product(X2!3, X4!1)), product(X3!2, product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.36/19.58 inference(unit_resolution,[status(thm)],[169, 7])).
% 19.36/19.58 tff(171,plain,
% 19.36/19.58 (product(product(product(X3!2, product(X2!3, X4!1)), X3!2), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(X3!2, X2!3), X4!1)),
% 19.36/19.58 inference(transitivity,[status(thm)],[170, 168, 146, 98])).
% 19.36/19.58 tff(172,plain,
% 19.36/19.58 (product(X2!3, product(product(product(X3!2, product(X2!3, X4!1)), X3!2), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(X2!3, product(product(X3!2, X2!3), X4!1))),
% 19.36/19.58 inference(monotonicity,[status(thm)],[171])).
% 19.36/19.58 tff(173,plain,
% 19.36/19.58 (product(X2!3, product(product(X3!2, X2!3), X4!1)) = product(X2!3, product(product(product(X3!2, product(X2!3, X4!1)), X3!2), product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.36/19.58 inference(symmetry,[status(thm)],[172])).
% 19.36/19.58 tff(174,plain,
% 19.36/19.58 (product(X2!3, product(product(X3!2, X2!3), X4!1)) = product(product(X2!3, product(product(X3!2, product(X2!3, X4!1)), X3!2)), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.36/19.58 inference(transitivity,[status(thm)],[173, 165])).
% 19.36/19.58 tff(175,plain,
% 19.36/19.58 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0))))) = product(product(product(X2!3, product(product(X3!2, product(X2!3, X4!1)), X3!2)), product(X2!3, product(product(X3!2, X2!3), X4!1))), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0)))))),
% 19.36/19.58 inference(monotonicity,[status(thm)],[174])).
% 19.36/19.58 tff(176,plain,
% 19.36/19.58 (product(product(product(X2!3, product(product(X3!2, product(X2!3, X4!1)), X3!2)), product(X2!3, product(product(X3!2, X2!3), X4!1))), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0))))) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0)))))),
% 19.36/19.58 inference(symmetry,[status(thm)],[175])).
% 19.36/19.58 tff(177,plain,
% 19.36/19.58 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X2!3, product(product(X3!2, product(X2!3, X4!1)), X3!2)), product(X2!3, product(product(X3!2, X2!3), X4!1))), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0))))) = product(product(X2!3, product(product(X3!2, product(X2!3, X4!1)), X3!2)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0)))))))),
% 19.36/19.58 inference(quant_inst,[status(thm)],[])).
% 19.36/19.58 tff(178,plain,
% 19.36/19.58 (product(product(product(X2!3, product(product(X3!2, product(X2!3, X4!1)), X3!2)), product(X2!3, product(product(X3!2, X2!3), X4!1))), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0))))) = product(product(X2!3, product(product(X3!2, product(X2!3, X4!1)), X3!2)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0))))))),
% 19.36/19.58 inference(unit_resolution,[status(thm)],[177, 7])).
% 19.36/19.58 tff(179,plain,
% 19.36/19.58 (product(product(X2!3, product(product(X3!2, product(X2!3, X4!1)), X3!2)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0)))))) = product(product(product(X2!3, product(product(X3!2, product(X2!3, X4!1)), X3!2)), product(X2!3, product(product(X3!2, X2!3), X4!1))), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0)))))),
% 19.36/19.58 inference(symmetry,[status(thm)],[178])).
% 19.36/19.58 tff(180,plain,
% 19.36/19.58 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0))))) = product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))),
% 19.36/19.58 inference(transitivity,[status(thm)],[162, 159, 157, 93, 90, 75, 72, 69, 65, 9])).
% 19.36/19.58 tff(181,plain,
% 19.36/19.58 (product(X3!2, X5!0) = product(product(X3!2, product(X2!3, X3!2)), X5!0)),
% 19.36/19.58 inference(monotonicity,[status(thm)],[78])).
% 19.36/19.58 tff(182,plain,
% 19.36/19.58 (product(product(X3!2, product(X2!3, X3!2)), X5!0) = product(X3!2, X5!0)),
% 19.36/19.58 inference(symmetry,[status(thm)],[181])).
% 19.36/19.58 tff(183,plain,
% 19.36/19.58 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X3!2, product(X2!3, X3!2)), X5!0) = product(X3!2, product(product(X2!3, X3!2), X5!0)))),
% 19.36/19.58 inference(quant_inst,[status(thm)],[])).
% 19.36/19.58 tff(184,plain,
% 19.36/19.58 (product(product(X3!2, product(X2!3, X3!2)), X5!0) = product(X3!2, product(product(X2!3, X3!2), X5!0))),
% 19.36/19.58 inference(unit_resolution,[status(thm)],[183, 7])).
% 19.36/19.58 tff(185,plain,
% 19.36/19.58 (product(X3!2, product(product(X2!3, X3!2), X5!0)) = product(product(X3!2, product(X2!3, X3!2)), X5!0)),
% 19.36/19.58 inference(symmetry,[status(thm)],[184])).
% 19.36/19.58 tff(186,plain,
% 19.36/19.58 (product(X3!2, product(product(X2!3, X3!2), X5!0)) = product(X3!2, X5!0)),
% 19.36/19.58 inference(transitivity,[status(thm)],[185, 182])).
% 19.36/19.58 tff(187,plain,
% 19.36/19.58 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))) = product(product(X2!3, X4!1), product(X3!2, X5!0))),
% 19.36/19.58 inference(monotonicity,[status(thm)],[67, 186])).
% 19.36/19.58 tff(188,plain,
% 19.36/19.58 (product(product(X2!3, X4!1), product(X3!2, X5!0)) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0)))),
% 19.36/19.58 inference(symmetry,[status(thm)],[187])).
% 19.36/19.58 tff(189,plain,
% 19.36/19.58 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X2!3) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), X2!3)),
% 19.36/19.58 inference(monotonicity,[status(thm)],[188])).
% 19.36/19.58 tff(190,plain,
% 19.36/19.58 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), X2!3) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X2!3)),
% 19.36/19.58 inference(symmetry,[status(thm)],[189])).
% 19.36/19.58 tff(191,plain,
% 19.36/19.58 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), X2!3) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X2!3)))),
% 19.36/19.58 inference(quant_inst,[status(thm)],[])).
% 19.36/19.58 tff(192,plain,
% 19.36/19.58 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), X2!3) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X2!3))),
% 19.36/19.58 inference(unit_resolution,[status(thm)],[191, 7])).
% 19.36/19.58 tff(193,plain,
% 19.36/19.58 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X2!3)) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), X2!3)),
% 19.36/19.58 inference(symmetry,[status(thm)],[192])).
% 19.36/19.58 tff(194,plain,
% 19.36/19.58 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X2!3)) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X2!3)),
% 19.36/19.58 inference(transitivity,[status(thm)],[193, 190])).
% 19.36/19.58 tff(195,plain,
% 19.36/19.58 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X2!3)), product(X3!2, product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2))) = product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X2!3), product(X3!2, product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2)))),
% 19.36/19.58 inference(monotonicity,[status(thm)],[194])).
% 19.36/19.58 tff(196,plain,
% 19.36/19.58 (product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X2!3), product(X3!2, product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2))) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X2!3)), product(X3!2, product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2)))),
% 19.36/19.58 inference(symmetry,[status(thm)],[195])).
% 19.36/19.58 tff(197,plain,
% 19.36/19.58 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X2!3, X3!2), X2!3) = product(X2!3, product(X3!2, X2!3)))),
% 19.36/19.58 inference(quant_inst,[status(thm)],[])).
% 19.36/19.58 tff(198,plain,
% 19.36/19.58 (product(product(X2!3, X3!2), X2!3) = product(X2!3, product(X3!2, X2!3))),
% 19.36/19.58 inference(unit_resolution,[status(thm)],[197, 7])).
% 19.36/19.58 tff(199,plain,
% 19.36/19.58 (product(X2!3, X3!2) = product(product(X2!3, product(X3!2, X2!3)), X3!2)),
% 19.36/19.58 inference(monotonicity,[status(thm)],[87])).
% 19.36/19.58 tff(200,plain,
% 19.36/19.58 (product(product(X2!3, product(X3!2, X2!3)), X3!2) = product(X2!3, X3!2)),
% 19.36/19.58 inference(symmetry,[status(thm)],[199])).
% 19.36/19.58 tff(201,plain,
% 19.36/19.58 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X2!3, product(X3!2, X2!3)), X3!2) = product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.36/19.58 inference(quant_inst,[status(thm)],[])).
% 19.36/19.58 tff(202,plain,
% 19.36/19.58 (product(product(X2!3, product(X3!2, X2!3)), X3!2) = product(X2!3, product(product(X3!2, X2!3), X3!2))),
% 19.36/19.58 inference(unit_resolution,[status(thm)],[201, 7])).
% 19.36/19.58 tff(203,plain,
% 19.36/19.58 (product(X2!3, product(product(X3!2, X2!3), X3!2)) = product(product(X2!3, product(X3!2, X2!3)), X3!2)),
% 19.36/19.58 inference(symmetry,[status(thm)],[202])).
% 19.36/19.58 tff(204,plain,
% 19.36/19.58 (product(X2!3, product(product(X3!2, X2!3), X3!2)) = product(X2!3, X3!2)),
% 19.36/19.58 inference(transitivity,[status(thm)],[203, 200])).
% 19.36/19.58 tff(205,plain,
% 19.36/19.58 (product(product(X2!3, product(product(X3!2, X2!3), X3!2)), X2!3) = product(product(X2!3, X3!2), X2!3)),
% 19.36/19.58 inference(monotonicity,[status(thm)],[204])).
% 19.36/19.58 tff(206,plain,
% 19.36/19.58 (product(product(X2!3, product(product(X3!2, X2!3), X3!2)), X2!3) = X2!3),
% 19.36/19.58 inference(transitivity,[status(thm)],[205, 198, 38])).
% 19.36/19.58 tff(207,plain,
% 19.36/19.58 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), X2!3)) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X2!3)),
% 19.36/19.58 inference(monotonicity,[status(thm)],[206])).
% 19.36/19.58 tff(208,plain,
% 19.36/19.58 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))), X2!3) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), X2!3)))),
% 19.36/19.58 inference(quant_inst,[status(thm)],[])).
% 19.36/19.58 tff(209,plain,
% 19.36/19.58 (product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))), X2!3) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), X2!3))),
% 19.36/19.58 inference(unit_resolution,[status(thm)],[208, 7])).
% 19.36/19.58 tff(210,plain,
% 19.36/19.58 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.36/19.58 inference(monotonicity,[status(thm)],[188])).
% 19.36/19.58 tff(211,plain,
% 19.36/19.58 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.36/19.58 inference(symmetry,[status(thm)],[210])).
% 19.36/19.58 tff(212,plain,
% 19.36/19.58 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.36/19.58 inference(quant_inst,[status(thm)],[])).
% 19.36/19.58 tff(213,plain,
% 19.36/19.58 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.36/19.58 inference(unit_resolution,[status(thm)],[212, 7])).
% 19.36/19.58 tff(214,plain,
% 19.36/19.58 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.36/19.58 inference(symmetry,[status(thm)],[213])).
% 19.36/19.58 tff(215,plain,
% 19.36/19.58 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.36/19.58 inference(transitivity,[status(thm)],[214, 211])).
% 19.36/19.58 tff(216,plain,
% 19.36/19.58 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), X2!3) = product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))), X2!3)),
% 19.36/19.58 inference(monotonicity,[status(thm)],[215])).
% 19.36/19.58 tff(217,plain,
% 19.36/19.58 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), X2!3) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X2!3)),
% 19.36/19.58 inference(transitivity,[status(thm)],[216, 209, 207])).
% 19.36/19.58 tff(218,plain,
% 19.36/19.58 (product(product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), X2!3), product(X3!2, product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2))) = product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X2!3), product(X3!2, product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2)))),
% 19.36/19.58 inference(monotonicity,[status(thm)],[217])).
% 19.36/19.58 tff(219,plain,
% 19.36/19.58 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), X2!3), product(X3!2, product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2))) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2)))))),
% 19.36/19.58 inference(quant_inst,[status(thm)],[])).
% 19.36/19.58 tff(220,plain,
% 19.36/19.58 (product(product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), X2!3), product(X3!2, product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2))) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2))))),
% 19.36/19.58 inference(unit_resolution,[status(thm)],[219, 7])).
% 19.36/19.58 tff(221,plain,
% 19.36/19.58 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2)))) = product(product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), X2!3), product(X3!2, product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2)))),
% 19.36/19.58 inference(symmetry,[status(thm)],[220])).
% 19.36/19.58 tff(222,plain,
% 19.36/19.58 (product(X3!2, product(X2!3, X4!1)) = product(X3!2, product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.36/19.58 inference(symmetry,[status(thm)],[166])).
% 19.36/19.58 tff(223,plain,
% 19.36/19.58 (product(product(X3!2, product(X2!3, X4!1)), X3!2) = product(product(X3!2, product(X2!3, product(product(X3!2, X2!3), X4!1))), X3!2)),
% 19.36/19.58 inference(monotonicity,[status(thm)],[222])).
% 19.36/19.58 tff(224,plain,
% 19.36/19.58 (product(product(X3!2, product(X2!3, product(product(X3!2, X2!3), X4!1))), X3!2) = product(product(X3!2, product(X2!3, X4!1)), X3!2)),
% 19.36/19.58 inference(symmetry,[status(thm)],[223])).
% 19.36/19.58 tff(225,plain,
% 19.36/19.58 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X3!2, product(X2!3, product(product(X3!2, X2!3), X4!1))), X3!2) = product(X3!2, product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2)))),
% 19.36/19.58 inference(quant_inst,[status(thm)],[])).
% 19.36/19.58 tff(226,plain,
% 19.36/19.58 (product(product(X3!2, product(X2!3, product(product(X3!2, X2!3), X4!1))), X3!2) = product(X3!2, product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2))),
% 19.36/19.58 inference(unit_resolution,[status(thm)],[225, 7])).
% 19.36/19.58 tff(227,plain,
% 19.36/19.58 (product(X3!2, product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2)) = product(product(X3!2, product(X2!3, product(product(X3!2, X2!3), X4!1))), X3!2)),
% 19.36/19.58 inference(symmetry,[status(thm)],[226])).
% 19.36/19.58 tff(228,plain,
% 19.36/19.58 (product(X3!2, product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2)) = product(product(X3!2, product(X2!3, X4!1)), X3!2)),
% 19.36/19.58 inference(transitivity,[status(thm)],[227, 224])).
% 19.36/19.58 tff(229,plain,
% 19.36/19.58 (product(X2!3, product(X3!2, product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2))) = product(X2!3, product(product(X3!2, product(X2!3, X4!1)), X3!2))),
% 19.36/19.58 inference(monotonicity,[status(thm)],[228])).
% 19.36/19.58 tff(230,plain,
% 19.36/19.58 (product(X2!3, product(product(X3!2, product(X2!3, X4!1)), X3!2)) = product(X2!3, product(X3!2, product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2)))),
% 19.36/19.58 inference(symmetry,[status(thm)],[229])).
% 19.36/19.58 tff(231,plain,
% 19.36/19.58 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.36/19.58 inference(transitivity,[status(thm)],[210, 213])).
% 19.36/19.58 tff(232,plain,
% 19.36/19.58 (product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))), product(X2!3, product(product(X3!2, product(X2!3, X4!1)), X3!2))) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2))))),
% 19.36/19.58 inference(monotonicity,[status(thm)],[231, 230])).
% 19.36/19.58 tff(233,plain,
% 19.36/19.58 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X2!3, product(X3!2, product(X2!3, X4!1))), X3!2) = product(X2!3, product(product(X3!2, product(X2!3, X4!1)), X3!2)))),
% 19.36/19.58 inference(quant_inst,[status(thm)],[])).
% 19.36/19.59 tff(234,plain,
% 19.36/19.59 (product(product(X2!3, product(X3!2, product(X2!3, X4!1))), X3!2) = product(X2!3, product(product(X3!2, product(X2!3, X4!1)), X3!2))),
% 19.36/19.59 inference(unit_resolution,[status(thm)],[233, 7])).
% 19.36/19.59 tff(235,plain,
% 19.36/19.59 (product(product(X2!3, product(X3!2, product(X2!3, X4!1))), X3!2) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2)),
% 19.36/19.59 inference(monotonicity,[status(thm)],[160])).
% 19.36/19.59 tff(236,plain,
% 19.36/19.59 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2) = product(product(X2!3, product(X3!2, product(X2!3, X4!1))), X3!2)),
% 19.36/19.59 inference(symmetry,[status(thm)],[235])).
% 19.36/19.59 tff(237,plain,
% 19.36/19.59 (((~(product(X4!1, product(X5!0, X4!1)) = X4!1)) | (~(product(X5!0, product(X4!1, X5!0)) = X5!0))) | (product(X5!0, product(X4!1, X5!0)) = X5!0)),
% 19.36/19.59 inference(tautology,[status(thm)],[])).
% 19.36/19.59 tff(238,plain,
% 19.36/19.59 (product(X5!0, product(X4!1, X5!0)) = X5!0),
% 19.36/19.59 inference(unit_resolution,[status(thm)],[237, 46])).
% 19.36/19.59 tff(239,plain,
% 19.36/19.59 (X5!0 = product(X5!0, product(X4!1, X5!0))),
% 19.36/19.59 inference(symmetry,[status(thm)],[238])).
% 19.36/19.59 tff(240,plain,
% 19.36/19.59 (product(X5!0, X4!1) = product(product(X5!0, product(X4!1, X5!0)), X4!1)),
% 19.36/19.59 inference(monotonicity,[status(thm)],[239])).
% 19.36/19.59 tff(241,plain,
% 19.36/19.59 (product(product(X5!0, product(X4!1, X5!0)), X4!1) = product(X5!0, X4!1)),
% 19.36/19.59 inference(symmetry,[status(thm)],[240])).
% 19.36/19.59 tff(242,plain,
% 19.36/19.59 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X5!0, product(X4!1, X5!0)), X4!1) = product(X5!0, product(product(X4!1, X5!0), X4!1)))),
% 19.36/19.59 inference(quant_inst,[status(thm)],[])).
% 19.36/19.59 tff(243,plain,
% 19.36/19.59 (product(product(X5!0, product(X4!1, X5!0)), X4!1) = product(X5!0, product(product(X4!1, X5!0), X4!1))),
% 19.36/19.59 inference(unit_resolution,[status(thm)],[242, 7])).
% 19.36/19.59 tff(244,plain,
% 19.36/19.59 (product(X5!0, product(product(X4!1, X5!0), X4!1)) = product(product(X5!0, product(X4!1, X5!0)), X4!1)),
% 19.36/19.59 inference(symmetry,[status(thm)],[243])).
% 19.36/19.59 tff(245,plain,
% 19.36/19.59 (product(X5!0, product(product(X4!1, X5!0), X4!1)) = product(X5!0, X4!1)),
% 19.36/19.59 inference(transitivity,[status(thm)],[244, 241])).
% 19.36/19.59 tff(246,plain,
% 19.36/19.59 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1))) = product(product(X2!3, X4!1), product(X5!0, X4!1))),
% 19.36/19.59 inference(monotonicity,[status(thm)],[67, 245])).
% 19.36/19.59 tff(247,plain,
% 19.36/19.59 (product(product(X2!3, X4!1), product(X5!0, X4!1)) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1)))),
% 19.36/19.59 inference(symmetry,[status(thm)],[246])).
% 19.36/19.59 tff(248,plain,
% 19.36/19.59 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X2!3, X4!1), product(X5!0, X4!1)) = product(X2!3, product(X4!1, product(X5!0, X4!1))))),
% 19.36/19.59 inference(quant_inst,[status(thm)],[])).
% 19.36/19.59 tff(249,plain,
% 19.36/19.59 (product(product(X2!3, X4!1), product(X5!0, X4!1)) = product(X2!3, product(X4!1, product(X5!0, X4!1)))),
% 19.36/19.59 inference(unit_resolution,[status(thm)],[248, 7])).
% 19.36/19.59 tff(250,plain,
% 19.36/19.59 (product(X2!3, product(X4!1, product(X5!0, X4!1))) = product(product(X2!3, X4!1), product(X5!0, X4!1))),
% 19.36/19.59 inference(symmetry,[status(thm)],[249])).
% 19.36/19.59 tff(251,plain,
% 19.36/19.59 (product(X2!3, X4!1) = product(X2!3, product(X4!1, product(X5!0, X4!1)))),
% 19.36/19.59 inference(monotonicity,[status(thm)],[51])).
% 19.36/19.59 tff(252,plain,
% 19.36/19.59 (product(X2!3, product(product(X3!2, X2!3), X4!1)) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1)))),
% 19.36/19.59 inference(transitivity,[status(thm)],[66, 39, 251, 250, 247])).
% 19.36/19.59 tff(253,plain,
% 19.36/19.59 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1))), X3!2)),
% 19.36/19.59 inference(monotonicity,[status(thm)],[252])).
% 19.36/19.59 tff(254,plain,
% 19.36/19.59 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1))), X3!2) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2)),
% 19.36/19.59 inference(symmetry,[status(thm)],[253])).
% 19.36/19.59 tff(255,plain,
% 19.36/19.59 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1))), X3!2) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)))),
% 19.36/19.59 inference(quant_inst,[status(thm)],[])).
% 19.36/19.59 tff(256,plain,
% 19.36/19.59 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1))), X3!2) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2))),
% 19.36/19.59 inference(unit_resolution,[status(thm)],[255, 7])).
% 19.36/19.59 tff(257,plain,
% 19.36/19.59 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1))), X3!2)),
% 19.36/19.59 inference(symmetry,[status(thm)],[256])).
% 19.36/19.59 tff(258,plain,
% 19.36/19.59 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X5!0, X4!1), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))) = product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))))),
% 19.36/19.59 inference(quant_inst,[status(thm)],[])).
% 19.36/19.59 tff(259,plain,
% 19.36/19.59 (product(product(X5!0, X4!1), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))) = product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))),
% 19.36/19.59 inference(unit_resolution,[status(thm)],[258, 7])).
% 19.36/19.59 tff(260,plain,
% 19.36/19.59 (product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))) = product(product(X5!0, X4!1), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))),
% 19.36/19.59 inference(monotonicity,[status(thm)],[245])).
% 19.36/19.59 tff(261,plain,
% 19.36/19.59 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), X5!0), X4!1) = product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))),
% 19.36/19.59 inference(quant_inst,[status(thm)],[])).
% 19.36/19.59 tff(262,plain,
% 19.36/19.59 (product(product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), X5!0), X4!1) = product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))),
% 19.36/19.59 inference(unit_resolution,[status(thm)],[261, 7])).
% 19.36/19.59 tff(263,plain,
% 19.36/19.59 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), X5!0) = product(X3!2, product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X5!0)))),
% 19.36/19.59 inference(quant_inst,[status(thm)],[])).
% 19.36/19.59 tff(264,plain,
% 19.36/19.59 (product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), X5!0) = product(X3!2, product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X5!0))),
% 19.36/19.59 inference(unit_resolution,[status(thm)],[263, 7])).
% 19.36/19.59 tff(265,plain,
% 19.36/19.59 (product(X3!2, product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X5!0)) = product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), X5!0)),
% 19.36/19.59 inference(symmetry,[status(thm)],[264])).
% 19.36/19.59 tff(266,plain,
% 19.36/19.59 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X5!0, X4!1), X5!0) = product(X5!0, product(X4!1, X5!0)))),
% 19.36/19.59 inference(quant_inst,[status(thm)],[])).
% 19.36/19.59 tff(267,plain,
% 19.36/19.59 (product(product(X5!0, X4!1), X5!0) = product(X5!0, product(X4!1, X5!0))),
% 19.36/19.59 inference(unit_resolution,[status(thm)],[266, 7])).
% 19.36/19.59 tff(268,plain,
% 19.36/19.59 (product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X5!0) = product(product(X5!0, X4!1), X5!0)),
% 19.36/19.59 inference(monotonicity,[status(thm)],[245])).
% 19.36/19.59 tff(269,plain,
% 19.36/19.59 (product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X5!0) = X5!0),
% 19.36/19.59 inference(transitivity,[status(thm)],[268, 267, 238])).
% 19.36/19.59 tff(270,plain,
% 19.36/19.59 (product(X3!2, product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X5!0)) = product(X3!2, X5!0)),
% 19.36/19.59 inference(monotonicity,[status(thm)],[269])).
% 19.36/19.59 tff(271,plain,
% 19.36/19.59 (product(X3!2, X5!0) = product(X3!2, product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X5!0))),
% 19.36/19.59 inference(symmetry,[status(thm)],[270])).
% 19.36/19.59 tff(272,plain,
% 19.36/19.59 (product(X3!2, product(product(X2!3, X3!2), X5!0)) = product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), X5!0)),
% 19.36/19.59 inference(transitivity,[status(thm)],[185, 182, 271, 265])).
% 19.36/19.59 tff(273,plain,
% 19.36/19.59 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1) = product(product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), X5!0), X4!1)),
% 19.36/19.59 inference(monotonicity,[status(thm)],[272])).
% 19.36/19.59 tff(274,plain,
% 19.36/19.59 (product(X3!2, X5!0) = product(X3!2, product(product(X2!3, X3!2), X5!0))),
% 19.36/19.59 inference(transitivity,[status(thm)],[181, 184])).
% 19.36/19.59 tff(275,plain,
% 19.36/19.59 (product(product(X3!2, X5!0), X4!1) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1)),
% 19.36/19.59 inference(monotonicity,[status(thm)],[274])).
% 19.36/19.59 tff(276,plain,
% 19.36/19.59 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X3!2, X5!0), X4!1) = product(X3!2, product(X5!0, X4!1)))),
% 19.36/19.59 inference(quant_inst,[status(thm)],[])).
% 19.36/19.59 tff(277,plain,
% 19.36/19.59 (product(product(X3!2, X5!0), X4!1) = product(X3!2, product(X5!0, X4!1))),
% 19.36/19.59 inference(unit_resolution,[status(thm)],[276, 7])).
% 19.36/19.59 tff(278,plain,
% 19.36/19.59 (product(X3!2, product(X5!0, X4!1)) = product(product(X3!2, X5!0), X4!1)),
% 19.36/19.59 inference(symmetry,[status(thm)],[277])).
% 19.36/19.59 tff(279,plain,
% 19.36/19.59 (product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))) = product(X3!2, product(X5!0, X4!1))),
% 19.36/19.59 inference(monotonicity,[status(thm)],[245])).
% 19.36/19.59 tff(280,plain,
% 19.36/19.59 (product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))) = product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))),
% 19.36/19.59 inference(transitivity,[status(thm)],[279, 278, 275, 273, 262])).
% 19.36/19.59 tff(281,plain,
% 19.36/19.59 (product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1)))) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))),
% 19.36/19.59 inference(monotonicity,[status(thm)],[280])).
% 19.36/19.59 tff(282,plain,
% 19.36/19.59 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2), product(X5!0, product(product(X4!1, X5!0), X4!1))) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1)))))),
% 19.36/19.59 inference(quant_inst,[status(thm)],[])).
% 19.36/19.59 tff(283,plain,
% 19.36/19.59 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2), product(X5!0, product(product(X4!1, X5!0), X4!1))) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))))),
% 19.36/19.59 inference(unit_resolution,[status(thm)],[282, 7])).
% 19.36/19.59 tff(284,plain,
% 19.36/19.59 (product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1))) = product(product(X5!0, X4!1), product(X5!0, X4!1))),
% 19.36/19.59 inference(monotonicity,[status(thm)],[245, 245])).
% 19.36/19.59 tff(285,plain,
% 19.36/19.59 (product(product(X5!0, X4!1), product(X5!0, X4!1)) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1)))),
% 19.36/19.59 inference(symmetry,[status(thm)],[284])).
% 19.36/19.59 tff(286,plain,
% 19.36/19.59 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X5!0, X4!1), product(X5!0, X4!1)) = product(X5!0, product(X4!1, product(X5!0, X4!1))))),
% 19.36/19.59 inference(quant_inst,[status(thm)],[])).
% 19.36/19.59 tff(287,plain,
% 19.36/19.59 (product(product(X5!0, X4!1), product(X5!0, X4!1)) = product(X5!0, product(X4!1, product(X5!0, X4!1)))),
% 19.36/19.59 inference(unit_resolution,[status(thm)],[286, 7])).
% 19.36/19.59 tff(288,plain,
% 19.36/19.59 (product(X5!0, product(X4!1, product(X5!0, X4!1))) = product(product(X5!0, X4!1), product(X5!0, X4!1))),
% 19.36/19.59 inference(symmetry,[status(thm)],[287])).
% 19.36/19.59 tff(289,plain,
% 19.36/19.59 (product(X5!0, product(X4!1, product(X5!0, X4!1))) = product(X5!0, X4!1)),
% 19.36/19.59 inference(monotonicity,[status(thm)],[48])).
% 19.36/19.59 tff(290,plain,
% 19.36/19.59 (product(X5!0, X4!1) = product(X5!0, product(X4!1, product(X5!0, X4!1)))),
% 19.36/19.59 inference(symmetry,[status(thm)],[289])).
% 19.36/19.59 tff(291,plain,
% 19.36/19.59 (product(X5!0, product(product(X4!1, X5!0), X4!1)) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1)))),
% 19.36/19.59 inference(transitivity,[status(thm)],[244, 241, 290, 288, 285])).
% 19.36/19.59 tff(292,plain,
% 19.36/19.59 (product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1))), X3!2)),
% 19.36/19.59 inference(monotonicity,[status(thm)],[291])).
% 19.36/19.59 tff(293,plain,
% 19.36/19.59 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1))), X3!2) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)),
% 19.36/19.59 inference(symmetry,[status(thm)],[292])).
% 19.36/19.59 tff(294,plain,
% 19.36/19.59 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1))), X3!2) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)))),
% 19.36/19.59 inference(quant_inst,[status(thm)],[])).
% 19.36/19.59 tff(295,plain,
% 19.36/19.59 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1))), X3!2) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2))),
% 19.36/19.59 inference(unit_resolution,[status(thm)],[294, 7])).
% 19.36/19.59 tff(296,plain,
% 19.36/19.59 (product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1))), X3!2)),
% 19.36/19.59 inference(symmetry,[status(thm)],[295])).
% 19.36/19.59 tff(297,plain,
% 19.36/19.59 (product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)),
% 19.36/19.59 inference(transitivity,[status(thm)],[296, 293])).
% 19.36/19.59 tff(298,plain,
% 19.36/19.59 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)), product(X5!0, product(product(X4!1, X5!0), X4!1))) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2), product(X5!0, product(product(X4!1, X5!0), X4!1)))),
% 19.36/19.59 inference(monotonicity,[status(thm)],[297])).
% 19.36/19.59 tff(299,plain,
% 19.36/19.59 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)), product(X5!0, product(product(X4!1, X5!0), X4!1))) = product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))),
% 19.36/19.59 inference(transitivity,[status(thm)],[298, 283, 281, 260, 259])).
% 19.36/19.59 tff(300,plain,
% 19.36/19.59 (product(product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)), product(X5!0, product(product(X4!1, X5!0), X4!1))), X3!2) = product(product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))), X3!2)),
% 19.36/19.59 inference(monotonicity,[status(thm)],[299])).
% 19.36/19.59 tff(301,plain,
% 19.36/19.59 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)), product(X5!0, product(product(X4!1, X5!0), X4!1))), X3!2) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)))),
% 19.36/19.59 inference(quant_inst,[status(thm)],[])).
% 19.36/19.59 tff(302,plain,
% 19.36/19.59 (product(product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)), product(X5!0, product(product(X4!1, X5!0), X4!1))), X3!2) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2))),
% 19.36/19.59 inference(unit_resolution,[status(thm)],[301, 7])).
% 19.36/19.59 tff(303,plain,
% 19.36/19.59 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)) = product(product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)), product(X5!0, product(product(X4!1, X5!0), X4!1))), X3!2)),
% 19.36/19.59 inference(symmetry,[status(thm)],[302])).
% 19.36/19.59 tff(304,plain,
% 19.36/19.59 (product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2))) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2))),
% 19.36/19.59 inference(monotonicity,[status(thm)],[297])).
% 19.36/19.59 tff(305,plain,
% 19.36/19.59 (product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2))) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)),
% 19.36/19.59 inference(transitivity,[status(thm)],[304, 296, 293])).
% 19.36/19.59 tff(306,plain,
% 19.36/19.59 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)))) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2))),
% 19.36/19.59 inference(monotonicity,[status(thm)],[305])).
% 19.36/19.59 tff(307,plain,
% 19.36/19.59 (product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)))),
% 19.36/19.59 inference(symmetry,[status(thm)],[304])).
% 19.36/19.59 tff(308,plain,
% 19.36/19.59 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2))) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2))))),
% 19.36/19.59 inference(monotonicity,[status(thm)],[307])).
% 19.36/19.59 tff(309,assumption,(~(product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2))) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)))), introduced(assumption)).
% 19.36/19.60 tff(310,plain,
% 19.36/19.60 ((~![A: $i] : (product(A, A) = A)) | (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2))) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)))),
% 19.36/19.60 inference(quant_inst,[status(thm)],[])).
% 19.36/19.60 tff(311,plain,
% 19.36/19.60 ($false),
% 19.36/19.60 inference(unit_resolution,[status(thm)],[310, 131, 309])).
% 19.36/19.60 tff(312,plain,(product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2))) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2))), inference(lemma,lemma(discharge,[]))).
% 19.36/19.60 tff(313,plain,
% 19.36/19.60 (product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)))),
% 19.36/19.60 inference(symmetry,[status(thm)],[312])).
% 19.36/19.60 tff(314,plain,
% 19.36/19.60 (product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2) = product(product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))), X3!2)),
% 19.36/19.60 inference(transitivity,[status(thm)],[292, 295, 313, 308, 306, 303, 300])).
% 19.36/19.60 tff(315,plain,
% 19.36/19.60 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2)) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))), X3!2))),
% 19.36/19.60 inference(monotonicity,[status(thm)],[314])).
% 19.36/19.60 tff(316,plain,
% 19.36/19.60 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))), X3!2)) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X3!2))),
% 19.36/19.60 inference(symmetry,[status(thm)],[315])).
% 19.36/19.60 tff(317,plain,
% 19.36/19.60 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))), X3!2) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))), X3!2)))),
% 19.36/19.60 inference(quant_inst,[status(thm)],[])).
% 19.36/19.60 tff(318,plain,
% 19.36/19.60 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))), X3!2) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))), X3!2))),
% 19.36/19.60 inference(unit_resolution,[status(thm)],[317, 7])).
% 19.36/19.60 tff(319,plain,
% 19.36/19.60 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), X4!1) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1)))),
% 19.36/19.60 inference(quant_inst,[status(thm)],[])).
% 19.36/19.60 tff(320,plain,
% 19.36/19.60 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), X4!1) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1))),
% 19.36/19.60 inference(unit_resolution,[status(thm)],[319, 7])).
% 19.36/19.60 tff(321,plain,
% 19.36/19.60 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), X4!1) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X4!1)),
% 19.36/19.60 inference(monotonicity,[status(thm)],[187])).
% 19.36/19.60 tff(322,plain,
% 19.36/19.60 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X4!1) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), X4!1)),
% 19.36/19.60 inference(symmetry,[status(thm)],[321])).
% 19.36/19.60 tff(323,plain,
% 19.36/19.60 (product(X2!3, product(X4!1, product(X5!0, X4!1))) = product(X2!3, X4!1)),
% 19.36/19.60 inference(symmetry,[status(thm)],[251])).
% 19.36/19.60 tff(324,plain,
% 19.36/19.60 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1))) = product(X2!3, X4!1)),
% 19.36/19.60 inference(transitivity,[status(thm)],[246, 249, 323])).
% 19.36/19.60 tff(325,plain,
% 19.36/19.60 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X3!2, product(product(X2!3, X3!2), X5!0))) = product(product(X2!3, X4!1), product(X3!2, X5!0))),
% 19.36/19.60 inference(monotonicity,[status(thm)],[324, 186])).
% 19.36/19.60 tff(326,plain,
% 19.36/19.60 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X3!2, product(product(X2!3, X3!2), X5!0))) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0)))))),
% 19.36/19.60 inference(quant_inst,[status(thm)],[])).
% 19.36/19.60 tff(327,plain,
% 19.36/19.60 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X3!2, product(product(X2!3, X3!2), X5!0))) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))))),
% 19.43/19.60 inference(unit_resolution,[status(thm)],[326, 7])).
% 19.43/19.60 tff(328,plain,
% 19.43/19.60 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0)))) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X3!2, product(product(X2!3, X3!2), X5!0)))),
% 19.43/19.60 inference(symmetry,[status(thm)],[327])).
% 19.43/19.60 tff(329,plain,
% 19.43/19.60 (product(X5!0, X4!1) = product(X5!0, product(product(X4!1, X5!0), X4!1))),
% 19.43/19.60 inference(transitivity,[status(thm)],[240, 243])).
% 19.43/19.60 tff(330,plain,
% 19.43/19.60 (product(product(X5!0, X4!1), product(X3!2, product(product(X2!3, X3!2), X5!0))) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0)))),
% 19.43/19.60 inference(monotonicity,[status(thm)],[329])).
% 19.43/19.60 tff(331,plain,
% 19.43/19.60 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X5!0, X4!1), product(X3!2, product(product(X2!3, X3!2), X5!0))) = product(X5!0, product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))))),
% 19.43/19.60 inference(quant_inst,[status(thm)],[])).
% 19.43/19.60 tff(332,plain,
% 19.43/19.60 (product(product(X5!0, X4!1), product(X3!2, product(product(X2!3, X3!2), X5!0))) = product(X5!0, product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))),
% 19.43/19.60 inference(unit_resolution,[status(thm)],[331, 7])).
% 19.43/19.60 tff(333,plain,
% 19.43/19.60 (product(X5!0, product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))) = product(product(X5!0, X4!1), product(X3!2, product(product(X2!3, X3!2), X5!0)))),
% 19.43/19.60 inference(symmetry,[status(thm)],[332])).
% 19.43/19.60 tff(334,plain,
% 19.43/19.60 (product(X5!0, product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0)))),
% 19.43/19.60 inference(transitivity,[status(thm)],[333, 330])).
% 19.43/19.60 tff(335,plain,
% 19.43/19.60 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X5!0, product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))))),
% 19.43/19.60 inference(monotonicity,[status(thm)],[334])).
% 19.43/19.60 tff(336,plain,
% 19.43/19.60 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X5!0, product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))) = product(product(X2!3, X4!1), product(X3!2, X5!0))),
% 19.43/19.60 inference(transitivity,[status(thm)],[335, 328, 325])).
% 19.43/19.60 tff(337,plain,
% 19.43/19.60 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X5!0, product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), X4!1) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X4!1)),
% 19.43/19.60 inference(monotonicity,[status(thm)],[336])).
% 19.43/19.60 tff(338,plain,
% 19.43/19.60 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X5!0, product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), X4!1) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X5!0, product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), X4!1)))),
% 19.43/19.60 inference(quant_inst,[status(thm)],[])).
% 19.43/19.60 tff(339,plain,
% 19.43/19.60 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X5!0, product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), X4!1) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X5!0, product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), X4!1))),
% 19.43/19.60 inference(unit_resolution,[status(thm)],[338, 7])).
% 19.43/19.60 tff(340,plain,
% 19.43/19.60 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X5!0, product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), X4!1)) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X5!0, product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), X4!1)),
% 19.43/19.60 inference(symmetry,[status(thm)],[339])).
% 19.43/19.60 tff(341,plain,
% 19.43/19.60 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X5!0, product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), X4!1) = product(X5!0, product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), X4!1)))),
% 19.43/19.60 inference(quant_inst,[status(thm)],[])).
% 19.43/19.60 tff(342,plain,
% 19.43/19.60 (product(product(X5!0, product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), X4!1) = product(X5!0, product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), X4!1))),
% 19.43/19.60 inference(unit_resolution,[status(thm)],[341, 7])).
% 19.43/19.60 tff(343,plain,
% 19.43/19.60 (product(X5!0, product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), X4!1)) = product(product(X5!0, product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), X4!1)),
% 19.43/19.60 inference(symmetry,[status(thm)],[342])).
% 19.43/19.60 tff(344,plain,
% 19.43/19.60 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), X4!1) = product(X4!1, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1)))),
% 19.43/19.60 inference(quant_inst,[status(thm)],[])).
% 19.43/19.60 tff(345,plain,
% 19.43/19.60 (product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), X4!1) = product(X4!1, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1))),
% 19.43/19.60 inference(unit_resolution,[status(thm)],[344, 7])).
% 19.43/19.60 tff(346,plain,
% 19.43/19.60 (product(X4!1, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1)) = product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), X4!1)),
% 19.43/19.60 inference(symmetry,[status(thm)],[345])).
% 19.43/19.60 tff(347,plain,
% 19.43/19.60 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1) = product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))),
% 19.43/19.60 inference(transitivity,[status(thm)],[273, 262])).
% 19.43/19.60 tff(348,plain,
% 19.43/19.60 (product(X4!1, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1)) = product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))),
% 19.43/19.60 inference(monotonicity,[status(thm)],[347])).
% 19.43/19.60 tff(349,plain,
% 19.43/19.60 (product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))) = product(X4!1, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1))),
% 19.43/19.60 inference(symmetry,[status(thm)],[348])).
% 19.43/19.60 tff(350,plain,
% 19.43/19.60 (product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))) = product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), X4!1)),
% 19.43/19.60 inference(transitivity,[status(thm)],[349, 346])).
% 19.43/19.60 tff(351,plain,
% 19.43/19.60 (product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))) = product(X5!0, product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), X4!1))),
% 19.43/19.60 inference(monotonicity,[status(thm)],[350])).
% 19.43/19.60 tff(352,plain,
% 19.43/19.60 (product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))) = product(product(X5!0, product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), X4!1)),
% 19.43/19.60 inference(transitivity,[status(thm)],[351, 343])).
% 19.43/19.60 tff(353,plain,
% 19.43/19.60 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X5!0, product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), X4!1))),
% 19.43/19.60 inference(monotonicity,[status(thm)],[352])).
% 19.43/19.60 tff(354,plain,
% 19.43/19.60 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1))),
% 19.43/19.60 inference(transitivity,[status(thm)],[353, 340, 337, 322, 320])).
% 19.43/19.60 tff(355,plain,
% 19.43/19.60 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))), X3!2) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1)), X3!2)),
% 19.43/19.60 inference(monotonicity,[status(thm)],[354])).
% 19.43/19.60 tff(356,plain,
% 19.43/19.60 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1)), X3!2) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))), X3!2)),
% 19.43/19.60 inference(symmetry,[status(thm)],[355])).
% 19.43/19.60 tff(357,plain,
% 19.43/19.60 (product(product(X2!3, X4!1), product(X3!2, product(product(X2!3, X3!2), X5!0))) = product(product(X2!3, X4!1), product(X3!2, X5!0))),
% 19.43/19.60 inference(monotonicity,[status(thm)],[186])).
% 19.43/19.60 tff(358,plain,
% 19.43/19.60 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X2!3, X4!1), product(X3!2, product(product(X2!3, X3!2), X5!0))) = product(X2!3, product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))))),
% 19.43/19.60 inference(quant_inst,[status(thm)],[])).
% 19.43/19.60 tff(359,plain,
% 19.43/19.60 (product(product(X2!3, X4!1), product(X3!2, product(product(X2!3, X3!2), X5!0))) = product(X2!3, product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))),
% 19.43/19.60 inference(unit_resolution,[status(thm)],[358, 7])).
% 19.43/19.60 tff(360,plain,
% 19.43/19.60 (product(X2!3, product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))) = product(product(X2!3, X4!1), product(X3!2, product(product(X2!3, X3!2), X5!0)))),
% 19.43/19.60 inference(symmetry,[status(thm)],[359])).
% 19.43/19.60 tff(361,plain,
% 19.43/19.60 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X4!1), product(X3!2, product(product(X2!3, X3!2), X5!0))) = product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))),
% 19.43/19.60 inference(monotonicity,[status(thm)],[59])).
% 19.43/19.60 tff(362,plain,
% 19.43/19.60 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X4!1), product(X3!2, product(product(X2!3, X3!2), X5!0))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))))),
% 19.43/19.60 inference(quant_inst,[status(thm)],[])).
% 19.43/19.60 tff(363,plain,
% 19.43/19.60 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X4!1), product(X3!2, product(product(X2!3, X3!2), X5!0))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))),
% 19.43/19.60 inference(unit_resolution,[status(thm)],[362, 7])).
% 19.43/19.60 tff(364,plain,
% 19.43/19.60 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X4!1), product(X3!2, product(product(X2!3, X3!2), X5!0)))),
% 19.43/19.60 inference(symmetry,[status(thm)],[363])).
% 19.43/19.60 tff(365,plain,
% 19.43/19.60 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))) = product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))),
% 19.43/19.60 inference(transitivity,[status(thm)],[364, 361])).
% 19.43/19.60 tff(366,plain,
% 19.43/19.60 (product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))) = product(X2!3, product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))),
% 19.43/19.60 inference(monotonicity,[status(thm)],[365])).
% 19.43/19.60 tff(367,plain,
% 19.43/19.60 (product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))) = product(product(X2!3, X4!1), product(X3!2, X5!0))),
% 19.43/19.60 inference(transitivity,[status(thm)],[366, 360, 357])).
% 19.43/19.60 tff(368,plain,
% 19.43/19.60 (product(product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), X4!1) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X4!1)),
% 19.43/19.60 inference(monotonicity,[status(thm)],[367])).
% 19.43/19.60 tff(369,plain,
% 19.43/19.60 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), X4!1) = product(X2!3, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), X4!1)))),
% 19.43/19.60 inference(quant_inst,[status(thm)],[])).
% 19.43/19.60 tff(370,plain,
% 19.43/19.60 (product(product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), X4!1) = product(X2!3, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), X4!1))),
% 19.43/19.60 inference(unit_resolution,[status(thm)],[369, 7])).
% 19.43/19.60 tff(371,plain,
% 19.43/19.60 (product(X2!3, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), X4!1)) = product(product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), X4!1)),
% 19.43/19.60 inference(symmetry,[status(thm)],[370])).
% 19.43/19.60 tff(372,plain,
% 19.43/19.60 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), X4!1) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), X4!1)))),
% 19.43/19.61 inference(quant_inst,[status(thm)],[])).
% 19.43/19.61 tff(373,plain,
% 19.43/19.61 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), X4!1) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), X4!1))),
% 19.43/19.61 inference(unit_resolution,[status(thm)],[372, 7])).
% 19.43/19.61 tff(374,plain,
% 19.43/19.61 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), X4!1)) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), X4!1)),
% 19.43/19.61 inference(symmetry,[status(thm)],[373])).
% 19.43/19.61 tff(375,plain,
% 19.43/19.61 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), X4!1))),
% 19.43/19.61 inference(monotonicity,[status(thm)],[350])).
% 19.43/19.61 tff(376,plain,
% 19.43/19.61 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X4!1), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))))),
% 19.43/19.61 inference(quant_inst,[status(thm)],[])).
% 19.43/19.61 tff(377,plain,
% 19.43/19.61 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X4!1), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))),
% 19.43/19.61 inference(unit_resolution,[status(thm)],[376, 7])).
% 19.43/19.61 tff(378,plain,
% 19.43/19.61 (product(product(X4!1, X5!0), X4!1) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X4!1)),
% 19.43/19.61 inference(symmetry,[status(thm)],[58])).
% 19.43/19.61 tff(379,plain,
% 19.43/19.61 (product(X4!1, product(X5!0, X4!1)) = product(product(X4!1, X5!0), X4!1)),
% 19.43/19.61 inference(symmetry,[status(thm)],[50])).
% 19.43/19.61 tff(380,plain,
% 19.43/19.61 (X4!1 = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X4!1)),
% 19.43/19.61 inference(transitivity,[status(thm)],[51, 379, 378])).
% 19.43/19.61 tff(381,plain,
% 19.43/19.61 (product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X4!1), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))),
% 19.43/19.61 inference(monotonicity,[status(thm)],[380])).
% 19.43/19.61 tff(382,plain,
% 19.43/19.61 (product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), X4!1)),
% 19.43/19.61 inference(transitivity,[status(thm)],[381, 377, 375, 374])).
% 19.43/19.61 tff(383,plain,
% 19.43/19.61 (product(X2!3, product(X3!2, product(product(X2!3, X3!2), X2!3))) = X2!3),
% 19.43/19.61 inference(transitivity,[status(thm)],[85, 38])).
% 19.43/19.61 tff(384,plain,
% 19.43/19.61 (product(product(X2!3, product(X3!2, product(product(X2!3, X3!2), X2!3))), product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))) = product(X2!3, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), X4!1))),
% 19.43/19.61 inference(monotonicity,[status(thm)],[383, 382])).
% 19.43/19.61 tff(385,plain,
% 19.43/19.61 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X2!3, product(X3!2, product(product(X2!3, X3!2), X2!3))), product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))) = product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))))),
% 19.43/19.61 inference(quant_inst,[status(thm)],[])).
% 19.43/19.61 tff(386,plain,
% 19.43/19.61 (product(product(X2!3, product(X3!2, product(product(X2!3, X3!2), X2!3))), product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))) = product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))))),
% 19.43/19.61 inference(unit_resolution,[status(thm)],[385, 7])).
% 19.43/19.61 tff(387,plain,
% 19.43/19.61 (product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))) = product(product(X2!3, product(X3!2, product(product(X2!3, X3!2), X2!3))), product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))),
% 19.43/19.61 inference(symmetry,[status(thm)],[386])).
% 19.43/19.61 tff(388,plain,
% 19.43/19.61 (product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1))),
% 19.43/19.61 inference(transitivity,[status(thm)],[387, 384, 371, 368, 322, 320])).
% 19.43/19.61 tff(389,plain,
% 19.43/19.61 (product(product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))), X3!2) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1)), X3!2)),
% 19.43/19.61 inference(monotonicity,[status(thm)],[388])).
% 19.43/19.61 tff(390,plain,
% 19.43/19.61 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))), X3!2) = product(X2!3, product(product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))), X3!2)))),
% 19.43/19.61 inference(quant_inst,[status(thm)],[])).
% 19.43/19.61 tff(391,plain,
% 19.43/19.61 (product(product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))), X3!2) = product(X2!3, product(product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))), X3!2))),
% 19.43/19.61 inference(unit_resolution,[status(thm)],[390, 7])).
% 19.43/19.61 tff(392,plain,
% 19.43/19.61 (product(X2!3, product(product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))), X3!2)) = product(product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))), X3!2)),
% 19.43/19.61 inference(symmetry,[status(thm)],[391])).
% 19.43/19.61 tff(393,plain,
% 19.43/19.61 (product(X2!3, product(product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))), X3!2)) = product(X2!3, product(product(X3!2, product(X2!3, X4!1)), X3!2))),
% 19.43/19.61 inference(transitivity,[status(thm)],[392, 389, 356, 318, 316, 257, 254, 236, 234])).
% 19.43/19.61 tff(394,plain,
% 19.43/19.61 (product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))), product(X2!3, product(product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))), X3!2))) = product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))), product(X2!3, product(product(X3!2, product(X2!3, X4!1)), X3!2)))),
% 19.43/19.61 inference(monotonicity,[status(thm)],[393])).
% 19.43/19.61 tff(395,plain,
% 19.43/19.61 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1)), X3!2) = product(product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))), X3!2)),
% 19.43/19.61 inference(symmetry,[status(thm)],[389])).
% 19.43/19.61 tff(396,plain,
% 19.43/19.61 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))) = product(product(X4!1, X5!0), product(X4!1, X5!0))),
% 19.43/19.61 inference(monotonicity,[status(thm)],[57, 57])).
% 19.43/19.61 tff(397,plain,
% 19.43/19.61 (product(product(X4!1, X5!0), product(X4!1, X5!0)) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0)))),
% 19.43/19.61 inference(symmetry,[status(thm)],[396])).
% 19.43/19.61 tff(398,plain,
% 19.43/19.61 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X4!1, X5!0), product(X4!1, X5!0)) = product(X4!1, product(X5!0, product(X4!1, X5!0))))),
% 19.43/19.61 inference(quant_inst,[status(thm)],[])).
% 19.43/19.61 tff(399,plain,
% 19.43/19.61 (product(product(X4!1, X5!0), product(X4!1, X5!0)) = product(X4!1, product(X5!0, product(X4!1, X5!0)))),
% 19.43/19.61 inference(unit_resolution,[status(thm)],[398, 7])).
% 19.43/19.61 tff(400,plain,
% 19.43/19.61 (product(X4!1, product(X5!0, product(X4!1, X5!0))) = product(product(X4!1, X5!0), product(X4!1, X5!0))),
% 19.43/19.61 inference(symmetry,[status(thm)],[399])).
% 19.43/19.61 tff(401,plain,
% 19.43/19.61 (product(X4!1, product(X5!0, product(X4!1, X5!0))) = product(X4!1, X5!0)),
% 19.43/19.61 inference(monotonicity,[status(thm)],[238])).
% 19.43/19.61 tff(402,plain,
% 19.43/19.61 (product(X4!1, X5!0) = product(X4!1, product(X5!0, product(X4!1, X5!0)))),
% 19.43/19.61 inference(symmetry,[status(thm)],[401])).
% 19.43/19.61 tff(403,plain,
% 19.43/19.61 (product(X4!1, product(product(X5!0, X4!1), X5!0)) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0)))),
% 19.43/19.61 inference(transitivity,[status(thm)],[56, 53, 402, 400, 397])).
% 19.43/19.61 tff(404,plain,
% 19.43/19.61 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))), product(product(X2!3, X4!1), product(X3!2, X5!0)))),
% 19.43/19.61 inference(monotonicity,[status(thm)],[403])).
% 19.43/19.61 tff(405,plain,
% 19.43/19.61 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))), product(product(X2!3, X4!1), product(X3!2, X5!0))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0)))),
% 19.43/19.61 inference(symmetry,[status(thm)],[404])).
% 19.43/19.61 tff(406,plain,
% 19.43/19.61 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))), product(product(X2!3, X4!1), product(X3!2, X5!0))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0)))))),
% 19.43/19.61 inference(quant_inst,[status(thm)],[])).
% 19.43/19.61 tff(407,plain,
% 19.43/19.61 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))), product(product(X2!3, X4!1), product(X3!2, X5!0))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))))),
% 19.43/19.61 inference(unit_resolution,[status(thm)],[406, 7])).
% 19.43/19.61 tff(408,plain,
% 19.43/19.61 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0)))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))), product(product(X2!3, X4!1), product(X3!2, X5!0)))),
% 19.43/19.61 inference(symmetry,[status(thm)],[407])).
% 19.43/19.61 tff(409,plain,
% 19.43/19.61 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0)))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0)))),
% 19.43/19.61 inference(transitivity,[status(thm)],[408, 405])).
% 19.43/19.61 tff(410,plain,
% 19.43/19.61 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))))),
% 19.43/19.61 inference(monotonicity,[status(thm)],[409])).
% 19.43/19.61 tff(411,plain,
% 19.43/19.61 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0)))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0)))))),
% 19.43/19.61 inference(symmetry,[status(thm)],[410])).
% 19.43/19.61 tff(412,plain,
% 19.43/19.61 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))), product(product(X2!3, X4!1), product(X3!2, X5!0))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0)))))),
% 19.43/19.61 inference(quant_inst,[status(thm)],[])).
% 19.43/19.61 tff(413,plain,
% 19.43/19.61 (product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))), product(product(X2!3, X4!1), product(X3!2, X5!0))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))))),
% 19.43/19.61 inference(unit_resolution,[status(thm)],[412, 7])).
% 19.43/19.61 tff(414,plain,
% 19.43/19.61 (product(X3!2, product(X5!0, product(X4!1, X5!0))) = product(X3!2, X5!0)),
% 19.43/19.61 inference(monotonicity,[status(thm)],[238])).
% 19.43/19.61 tff(415,plain,
% 19.43/19.61 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X3!2, X5!0), product(X4!1, X5!0)) = product(X3!2, product(X5!0, product(X4!1, X5!0))))),
% 19.43/19.61 inference(quant_inst,[status(thm)],[])).
% 19.43/19.61 tff(416,plain,
% 19.43/19.61 (product(product(X3!2, X5!0), product(X4!1, X5!0)) = product(X3!2, product(X5!0, product(X4!1, X5!0)))),
% 19.43/19.61 inference(unit_resolution,[status(thm)],[415, 7])).
% 19.43/19.61 tff(417,plain,
% 19.43/19.61 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))) = product(product(X3!2, X5!0), product(X4!1, X5!0))),
% 19.43/19.61 inference(monotonicity,[status(thm)],[186, 57])).
% 19.43/19.61 tff(418,plain,
% 19.43/19.61 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))) = product(X3!2, X5!0)),
% 19.43/19.61 inference(transitivity,[status(thm)],[417, 416, 414])).
% 19.43/19.61 tff(419,plain,
% 19.43/19.61 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0)))) = product(product(X2!3, X4!1), product(X3!2, X5!0))),
% 19.43/19.61 inference(monotonicity,[status(thm)],[67, 418])).
% 19.43/19.61 tff(420,plain,
% 19.43/19.61 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X4!1, product(product(X5!0, X4!1), X5!0))) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0)))))),
% 19.43/19.61 inference(quant_inst,[status(thm)],[])).
% 19.43/19.61 tff(421,plain,
% 19.43/19.61 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X4!1, product(product(X5!0, X4!1), X5!0))) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))))),
% 19.43/19.61 inference(unit_resolution,[status(thm)],[420, 7])).
% 19.43/19.61 tff(422,plain,
% 19.43/19.61 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X4!1, product(product(X5!0, X4!1), X5!0)))),
% 19.43/19.61 inference(monotonicity,[status(thm)],[188])).
% 19.43/19.61 tff(423,plain,
% 19.43/19.61 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))) = product(product(X2!3, X4!1), product(X3!2, X5!0))),
% 19.43/19.61 inference(transitivity,[status(thm)],[422, 421, 419])).
% 19.43/19.61 tff(424,plain,
% 19.43/19.61 (product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))), product(product(X2!3, X4!1), product(X3!2, X5!0))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0)))),
% 19.43/19.61 inference(monotonicity,[status(thm)],[423])).
% 19.43/19.61 tff(425,plain,
% 19.43/19.61 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))) = product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))), product(product(X2!3, X4!1), product(X3!2, X5!0)))),
% 19.43/19.61 inference(symmetry,[status(thm)],[424])).
% 19.43/19.61 tff(426,plain,
% 19.43/19.61 ((~![A: $i] : (product(A, A) = A)) | (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))) = product(product(X2!3, X4!1), product(X3!2, X5!0)))),
% 19.43/19.61 inference(quant_inst,[status(thm)],[])).
% 19.43/19.61 tff(427,plain,
% 19.43/19.61 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))) = product(product(X2!3, X4!1), product(X3!2, X5!0))),
% 19.43/19.61 inference(unit_resolution,[status(thm)],[426, 131])).
% 19.43/19.61 tff(428,plain,
% 19.43/19.61 (product(product(X2!3, X4!1), product(X3!2, X5!0)) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0)))),
% 19.43/19.61 inference(symmetry,[status(thm)],[427])).
% 19.43/19.61 tff(429,plain,
% 19.43/19.61 (product(product(X2!3, X4!1), product(X3!2, X5!0)) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0)))))),
% 19.43/19.61 inference(transitivity,[status(thm)],[428, 425, 413, 411])).
% 19.43/19.61 tff(430,plain,
% 19.43/19.61 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X4!1) = product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))))), X4!1)),
% 19.43/19.61 inference(monotonicity,[status(thm)],[429])).
% 19.43/19.61 tff(431,plain,
% 19.43/19.61 (product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))))), X4!1) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X4!1)),
% 19.43/19.61 inference(symmetry,[status(thm)],[430])).
% 19.43/19.61 tff(432,plain,
% 19.43/19.61 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))))), X4!1) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0)))), X4!1)))),
% 19.43/19.61 inference(quant_inst,[status(thm)],[])).
% 19.43/19.61 tff(433,plain,
% 19.43/19.61 (product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))))), X4!1) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0)))), X4!1))),
% 19.43/19.61 inference(unit_resolution,[status(thm)],[432, 7])).
% 19.43/19.61 tff(434,plain,
% 19.43/19.61 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0)))), X4!1)) = product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))))), X4!1)),
% 19.43/19.62 inference(symmetry,[status(thm)],[433])).
% 19.43/19.62 tff(435,plain,
% 19.43/19.62 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X4!1, X5!0), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1)) = product(X4!1, product(X5!0, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1))))),
% 19.43/19.62 inference(quant_inst,[status(thm)],[])).
% 19.43/19.62 tff(436,plain,
% 19.43/19.62 (product(product(X4!1, X5!0), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1)) = product(X4!1, product(X5!0, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1)))),
% 19.43/19.62 inference(unit_resolution,[status(thm)],[435, 7])).
% 19.43/19.62 tff(437,plain,
% 19.43/19.62 (product(product(X4!1, X5!0), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1)) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1))),
% 19.43/19.62 inference(monotonicity,[status(thm)],[73])).
% 19.43/19.62 tff(438,plain,
% 19.43/19.62 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1)) = product(product(X4!1, X5!0), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1))),
% 19.43/19.62 inference(symmetry,[status(thm)],[437])).
% 19.43/19.62 tff(439,plain,
% 19.43/19.62 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X4!1)))),
% 19.43/19.62 inference(quant_inst,[status(thm)],[])).
% 19.43/19.62 tff(440,plain,
% 19.43/19.62 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X4!1))),
% 19.43/19.62 inference(unit_resolution,[status(thm)],[439, 7])).
% 19.43/19.62 tff(441,plain,
% 19.43/19.62 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1)) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X4!1)))),
% 19.43/19.62 inference(monotonicity,[status(thm)],[440])).
% 19.43/19.62 tff(442,plain,
% 19.43/19.62 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X4!1))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1))),
% 19.43/19.62 inference(symmetry,[status(thm)],[441])).
% 19.43/19.62 tff(443,plain,
% 19.43/19.62 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X4!1)) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X4!1))))),
% 19.43/19.62 inference(quant_inst,[status(thm)],[])).
% 19.43/19.62 tff(444,plain,
% 19.43/19.62 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X4!1)) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X4!1)))),
% 19.43/19.62 inference(unit_resolution,[status(thm)],[443, 7])).
% 19.43/19.62 tff(445,plain,
% 19.43/19.62 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))) = product(X4!1, product(product(X5!0, X4!1), X5!0))),
% 19.43/19.62 inference(transitivity,[status(thm)],[396, 399, 401, 52, 55])).
% 19.43/19.62 tff(446,plain,
% 19.43/19.62 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X4!1)) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X4!1))),
% 19.43/19.62 inference(monotonicity,[status(thm)],[445])).
% 19.43/19.62 tff(447,plain,
% 19.43/19.62 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X4!1)) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X4!1))),
% 19.43/19.62 inference(symmetry,[status(thm)],[446])).
% 19.43/19.62 tff(448,plain,
% 19.43/19.62 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0)))), X4!1) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1)),
% 19.43/19.62 inference(monotonicity,[status(thm)],[409])).
% 19.43/19.62 tff(449,plain,
% 19.43/19.62 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0)))), X4!1) = product(X4!1, product(X5!0, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1)))),
% 19.43/19.62 inference(transitivity,[status(thm)],[448, 440, 447, 444, 442, 438, 436])).
% 19.43/19.62 tff(450,plain,
% 19.43/19.62 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0)))), X4!1)) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X4!1, product(X5!0, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1))))),
% 19.43/19.62 inference(monotonicity,[status(thm)],[449])).
% 19.43/19.62 tff(451,plain,
% 19.43/19.62 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X4!1, product(X5!0, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1)))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0)))), X4!1))),
% 19.43/19.62 inference(symmetry,[status(thm)],[450])).
% 19.43/19.62 tff(452,plain,
% 19.43/19.62 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X4!1, product(X5!0, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1)))) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1))),
% 19.43/19.62 inference(transitivity,[status(thm)],[451, 434, 431, 322, 320])).
% 19.43/19.62 tff(453,plain,
% 19.43/19.62 (product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X4!1, product(X5!0, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1)))), X3!2) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1)), X3!2)),
% 19.43/19.62 inference(monotonicity,[status(thm)],[452])).
% 19.43/19.62 tff(454,plain,
% 19.43/19.62 (product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X4!1, product(X5!0, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1)))), X3!2) = product(X2!3, product(product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))), X3!2))),
% 19.43/19.62 inference(transitivity,[status(thm)],[453, 395, 391])).
% 19.43/19.62 tff(455,plain,
% 19.43/19.62 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X4!1, product(X5!0, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1)))), X3!2)) = product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))), product(X2!3, product(product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))), X3!2)))),
% 19.43/19.62 inference(monotonicity,[status(thm)],[215, 454])).
% 19.43/19.62 tff(456,plain,
% 19.43/19.62 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X4!1, product(X5!0, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1))))), X3!2) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X4!1, product(X5!0, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1)))), X3!2)))),
% 19.43/19.62 inference(quant_inst,[status(thm)],[])).
% 19.43/19.62 tff(457,plain,
% 19.43/19.62 (product(product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X4!1, product(X5!0, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1))))), X3!2) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X4!1, product(X5!0, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1)))), X3!2))),
% 19.43/19.62 inference(unit_resolution,[status(thm)],[456, 7])).
% 19.43/19.62 tff(458,plain,
% 19.43/19.62 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X4!1, product(X5!0, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1)))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X4!1)),
% 19.43/19.62 inference(transitivity,[status(thm)],[451, 434, 431])).
% 19.43/19.62 tff(459,plain,
% 19.43/19.62 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X4!1, product(X5!0, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1))))) = product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X4!1))),
% 19.43/19.62 inference(monotonicity,[status(thm)],[215, 458])).
% 19.43/19.62 tff(460,plain,
% 19.43/19.62 (product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X4!1)) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X4!1, product(X5!0, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1)))))),
% 19.43/19.62 inference(symmetry,[status(thm)],[459])).
% 19.43/19.62 tff(461,plain,
% 19.43/19.62 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1) = product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X4!1)))),
% 19.43/19.62 inference(quant_inst,[status(thm)],[])).
% 19.43/19.62 tff(462,plain,
% 19.43/19.62 (product(product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1) = product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X4!1))),
% 19.43/19.62 inference(unit_resolution,[status(thm)],[461, 7])).
% 19.43/19.62 tff(463,plain,
% 19.43/19.62 (product(product(product(X2!3, product(product(X3!2, X2!3), X3!2)), X2!3), product(product(X3!2, X2!3), X4!1)) = product(X2!3, product(product(X3!2, X2!3), X4!1))),
% 19.43/19.62 inference(monotonicity,[status(thm)],[206])).
% 19.43/19.62 tff(464,plain,
% 19.43/19.62 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X2!3, product(product(X3!2, X2!3), X3!2)), X2!3), product(product(X3!2, X2!3), X4!1)) = product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.43/19.62 inference(quant_inst,[status(thm)],[])).
% 19.43/19.62 tff(465,plain,
% 19.43/19.62 (product(product(product(X2!3, product(product(X3!2, X2!3), X3!2)), X2!3), product(product(X3!2, X2!3), X4!1)) = product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.43/19.62 inference(unit_resolution,[status(thm)],[464, 7])).
% 19.43/19.62 tff(466,plain,
% 19.43/19.62 (product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(product(X2!3, product(product(X3!2, X2!3), X3!2)), X2!3), product(product(X3!2, X2!3), X4!1))),
% 19.43/19.62 inference(symmetry,[status(thm)],[465])).
% 19.43/19.62 tff(467,plain,
% 19.43/19.62 (product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(X2!3, X4!1)),
% 19.43/19.62 inference(transitivity,[status(thm)],[466, 463, 66, 39])).
% 19.43/19.62 tff(468,plain,
% 19.43/19.62 (product(product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(product(X3!2, X2!3), X4!1))), product(X3!2, product(product(X2!3, X3!2), X5!0))) = product(product(X2!3, X4!1), product(X3!2, X5!0))),
% 19.43/19.62 inference(monotonicity,[status(thm)],[467, 186])).
% 19.43/19.62 tff(469,plain,
% 19.43/19.62 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(product(X3!2, X2!3), X4!1))), product(X3!2, product(product(X2!3, X3!2), X5!0))) = product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0)))))),
% 19.43/19.62 inference(quant_inst,[status(thm)],[])).
% 19.43/19.62 tff(470,plain,
% 19.43/19.62 (product(product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(product(X3!2, X2!3), X4!1))), product(X3!2, product(product(X2!3, X3!2), X5!0))) = product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))))),
% 19.43/19.62 inference(unit_resolution,[status(thm)],[469, 7])).
% 19.43/19.62 tff(471,plain,
% 19.43/19.62 (product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0)))) = product(product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(product(X3!2, X2!3), X4!1))), product(X3!2, product(product(X2!3, X3!2), X5!0)))),
% 19.43/19.62 inference(symmetry,[status(thm)],[470])).
% 19.43/19.62 tff(472,plain,
% 19.43/19.62 (product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(product(X2!3, X4!1), product(X3!2, X5!0))) = product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))))),
% 19.43/19.62 inference(monotonicity,[status(thm)],[188])).
% 19.43/19.62 tff(473,plain,
% 19.43/19.62 (product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(product(X2!3, X4!1), product(X3!2, X5!0))) = product(product(X2!3, X4!1), product(X3!2, X5!0))),
% 19.43/19.62 inference(transitivity,[status(thm)],[472, 471, 468])).
% 19.43/19.62 tff(474,plain,
% 19.43/19.62 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X4!1, product(product(X5!0, X4!1), X5!0))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0)))),
% 19.43/19.62 inference(symmetry,[status(thm)],[422])).
% 19.43/19.62 tff(475,plain,
% 19.43/19.62 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0)))) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X4!1, product(product(X5!0, X4!1), X5!0)))),
% 19.43/19.62 inference(symmetry,[status(thm)],[421])).
% 19.43/19.62 tff(476,plain,
% 19.43/19.62 (product(product(X2!3, X4!1), product(X3!2, X5!0)) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))))),
% 19.43/19.62 inference(symmetry,[status(thm)],[419])).
% 19.43/19.62 tff(477,plain,
% 19.43/19.62 (product(product(X2!3, X4!1), product(X3!2, X5!0)) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0)))),
% 19.43/19.62 inference(transitivity,[status(thm)],[476, 475, 474])).
% 19.43/19.62 tff(478,plain,
% 19.43/19.62 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(product(X2!3, X4!1), product(X3!2, X5!0)))) = product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))), product(product(X2!3, X4!1), product(X3!2, X5!0)))),
% 19.43/19.62 inference(monotonicity,[status(thm)],[477, 473])).
% 19.43/19.62 tff(479,plain,
% 19.43/19.62 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))), product(product(X2!3, X4!1), product(X3!2, X5!0))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(product(X2!3, X4!1), product(X3!2, X5!0)))))),
% 19.43/19.62 inference(quant_inst,[status(thm)],[])).
% 19.43/19.62 tff(480,plain,
% 19.43/19.62 (product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))), product(product(X2!3, X4!1), product(X3!2, X5!0))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(product(X2!3, X4!1), product(X3!2, X5!0))))),
% 19.43/19.62 inference(unit_resolution,[status(thm)],[479, 7])).
% 19.43/19.62 tff(481,plain,
% 19.43/19.62 (product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))), product(product(X2!3, X4!1), product(X3!2, X5!0))) = product(product(X2!3, X4!1), product(X3!2, X5!0))),
% 19.43/19.62 inference(transitivity,[status(thm)],[480, 478, 424, 427])).
% 19.43/19.62 tff(482,plain,
% 19.43/19.62 (product(product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X4!1)),
% 19.43/19.62 inference(monotonicity,[status(thm)],[481])).
% 19.43/19.62 tff(483,plain,
% 19.43/19.62 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X4!1) = product(product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1)),
% 19.43/19.62 inference(symmetry,[status(thm)],[482])).
% 19.43/19.62 tff(484,plain,
% 19.43/19.62 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1)) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), X4!1)),
% 19.43/19.62 inference(symmetry,[status(thm)],[320])).
% 19.43/19.62 tff(485,plain,
% 19.43/19.62 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1)) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X4!1, product(X5!0, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1)))))),
% 19.43/19.62 inference(transitivity,[status(thm)],[484, 321, 483, 462, 460])).
% 19.43/19.62 tff(486,plain,
% 19.43/19.62 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1)), X3!2) = product(product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X4!1, product(X5!0, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X2!3, X4!1), product(X3!2, X5!0))), X4!1))))), X3!2)),
% 19.43/19.62 inference(monotonicity,[status(thm)],[485])).
% 19.43/19.62 tff(487,plain,
% 19.43/19.62 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))), X3!2)) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))), X3!2)),
% 19.43/19.63 inference(symmetry,[status(thm)],[318])).
% 19.43/19.63 tff(488,plain,
% 19.43/19.63 (product(X2!3, product(product(X3!2, product(X2!3, X4!1)), X3!2)) = product(product(X2!3, product(X3!2, product(X2!3, X4!1))), X3!2)),
% 19.43/19.63 inference(symmetry,[status(thm)],[234])).
% 19.43/19.63 tff(489,plain,
% 19.43/19.63 (product(X2!3, product(product(X3!2, product(X2!3, X4!1)), X3!2)) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X2!3)), product(X3!2, product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2)))),
% 19.43/19.63 inference(transitivity,[status(thm)],[488, 235, 253, 256, 315, 487, 355, 486, 457, 455, 394, 232, 221, 218, 196])).
% 19.43/19.63 tff(490,plain,
% 19.43/19.63 (product(product(X2!3, product(product(X3!2, product(X2!3, X4!1)), X3!2)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0)))))) = product(product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X2!3)), product(X3!2, product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.43/19.63 inference(monotonicity,[status(thm)],[489, 180])).
% 19.43/19.63 tff(491,plain,
% 19.43/19.63 (product(product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X2!3)), product(X3!2, product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(X2!3, product(product(X3!2, product(X2!3, X4!1)), X3!2)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0))))))),
% 19.43/19.63 inference(symmetry,[status(thm)],[490])).
% 19.43/19.63 tff(492,plain,
% 19.43/19.63 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X2!3)), product(X3!2, product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X2!3)), product(product(X3!2, product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))))),
% 19.43/19.63 inference(quant_inst,[status(thm)],[])).
% 19.43/19.63 tff(493,plain,
% 19.43/19.63 (product(product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X2!3)), product(X3!2, product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X2!3)), product(product(X3!2, product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))),
% 19.43/19.63 inference(unit_resolution,[status(thm)],[492, 7])).
% 19.43/19.63 tff(494,plain,
% 19.43/19.63 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X2!3)), product(product(X3!2, product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))) = product(product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X2!3)), product(X3!2, product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.43/19.63 inference(symmetry,[status(thm)],[493])).
% 19.43/19.63 tff(495,plain,
% 19.43/19.63 (product(product(product(X3!2, product(X2!3, X4!1)), X3!2), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(X3!2, product(product(X2!3, X3!2), X2!3)), X4!1)),
% 19.43/19.63 inference(transitivity,[status(thm)],[170, 168, 146, 98, 95])).
% 19.43/19.63 tff(496,plain,
% 19.43/19.63 (product(product(product(product(X3!2, product(X2!3, X4!1)), X3!2), product(X2!3, product(product(X3!2, X2!3), X4!1))), X5!0) = product(product(product(X3!2, product(product(X2!3, X3!2), X2!3)), X4!1), X5!0)),
% 19.43/19.63 inference(monotonicity,[status(thm)],[495])).
% 19.43/19.63 tff(497,plain,
% 19.43/19.63 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(product(X3!2, product(X2!3, X4!1)), X3!2), product(X2!3, product(product(X3!2, X2!3), X4!1))), X5!0) = product(product(product(X3!2, product(X2!3, X4!1)), X3!2), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0)))),
% 19.43/19.63 inference(quant_inst,[status(thm)],[])).
% 19.43/19.63 tff(498,plain,
% 19.43/19.63 (product(product(product(product(X3!2, product(X2!3, X4!1)), X3!2), product(X2!3, product(product(X3!2, X2!3), X4!1))), X5!0) = product(product(product(X3!2, product(X2!3, X4!1)), X3!2), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0))),
% 19.43/19.63 inference(unit_resolution,[status(thm)],[497, 7])).
% 19.43/19.63 tff(499,plain,
% 19.43/19.63 (product(product(product(X3!2, product(X2!3, X4!1)), X3!2), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0)) = product(product(product(product(X3!2, product(X2!3, X4!1)), X3!2), product(X2!3, product(product(X3!2, X2!3), X4!1))), X5!0)),
% 19.43/19.63 inference(symmetry,[status(thm)],[498])).
% 19.43/19.63 tff(500,plain,
% 19.43/19.63 (product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)) = product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), X4!1), X5!0)),
% 19.43/19.63 inference(symmetry,[status(thm)],[9])).
% 19.43/19.63 tff(501,plain,
% 19.43/19.63 (product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0)),
% 19.43/19.63 inference(transitivity,[status(thm)],[500, 64])).
% 19.43/19.63 tff(502,plain,
% 19.43/19.63 (product(product(product(X3!2, product(X2!3, X4!1)), X3!2), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(product(X3!2, product(X2!3, X4!1)), X3!2), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0))),
% 19.43/19.63 inference(monotonicity,[status(thm)],[501])).
% 19.43/19.63 tff(503,plain,
% 19.43/19.63 (product(product(X3!2, product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(product(X3!2, product(X2!3, X4!1)), X3!2), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.43/19.63 inference(monotonicity,[status(thm)],[228])).
% 19.43/19.63 tff(504,plain,
% 19.43/19.63 (product(product(X3!2, product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0))))),
% 19.43/19.63 inference(transitivity,[status(thm)],[503, 502, 499, 496, 103, 105, 115, 118])).
% 19.43/19.63 tff(505,plain,
% 19.43/19.63 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X2!3)), product(product(X3!2, product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))) = product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X2!3), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0)))))),
% 19.43/19.63 inference(monotonicity,[status(thm)],[194, 504])).
% 19.43/19.63 tff(506,plain,
% 19.43/19.63 (product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X2!3), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0))))) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X2!3)), product(product(X3!2, product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X3!2)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))),
% 19.43/19.63 inference(symmetry,[status(thm)],[505])).
% 19.43/19.63 tff(507,plain,
% 19.43/19.63 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X2!3), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0))))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0)))))))),
% 19.43/19.63 inference(quant_inst,[status(thm)],[])).
% 19.43/19.63 tff(508,plain,
% 19.43/19.63 (product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X2!3), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0))))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0))))))),
% 19.43/19.63 inference(unit_resolution,[status(thm)],[507, 7])).
% 19.43/19.63 tff(509,plain,
% 19.43/19.63 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0)))))) = product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), X2!3), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0)))))),
% 19.43/19.63 inference(symmetry,[status(thm)],[508])).
% 19.43/19.63 tff(510,plain,
% 19.43/19.63 (product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0)))) = product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0)))),
% 19.43/19.63 inference(transitivity,[status(thm)],[119, 116])).
% 19.43/19.63 tff(511,plain,
% 19.43/19.63 (product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0))))) = product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0))))),
% 19.43/19.63 inference(monotonicity,[status(thm)],[510])).
% 19.43/19.63 tff(512,plain,
% 19.43/19.63 (product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0))))) = product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))),
% 19.43/19.63 inference(transitivity,[status(thm)],[511, 93, 90, 75, 72, 69, 65, 9])).
% 19.43/19.63 tff(513,plain,
% 19.43/19.63 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0)))))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.43/19.63 inference(monotonicity,[status(thm)],[512])).
% 19.43/19.63 tff(514,plain,
% 19.43/19.63 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(product(X3!2, product(product(X2!3, X3!2), X2!3)), product(X4!1, product(product(X5!0, X4!1), X5!0))))))),
% 19.43/19.63 inference(symmetry,[status(thm)],[513])).
% 19.43/19.63 tff(515,plain,
% 19.43/19.63 (product(X2!3, X4!1) = product(X2!3, product(product(X3!2, X2!3), X4!1))),
% 19.43/19.63 inference(transitivity,[status(thm)],[40, 11])).
% 19.43/19.63 tff(516,plain,
% 19.43/19.63 (product(product(X2!3, X4!1), product(X5!0, X4!1)) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X5!0, X4!1))),
% 19.43/19.63 inference(monotonicity,[status(thm)],[515])).
% 19.43/19.63 tff(517,plain,
% 19.43/19.63 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X5!0, X4!1)) = product(product(X2!3, X4!1), product(X5!0, X4!1))),
% 19.43/19.63 inference(symmetry,[status(thm)],[516])).
% 19.43/19.63 tff(518,plain,
% 19.43/19.63 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0), X4!1) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X5!0, X4!1)))),
% 19.43/19.63 inference(quant_inst,[status(thm)],[])).
% 19.43/19.63 tff(519,plain,
% 19.43/19.63 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0), X4!1) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X5!0, X4!1))),
% 19.43/19.63 inference(unit_resolution,[status(thm)],[518, 7])).
% 19.43/19.63 tff(520,plain,
% 19.43/19.63 (product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), X4!1) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0), X4!1)),
% 19.43/19.63 inference(monotonicity,[status(thm)],[501])).
% 19.43/19.63 tff(521,plain,
% 19.43/19.63 (product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), X4!1) = product(X2!3, X4!1)),
% 19.43/19.63 inference(transitivity,[status(thm)],[520, 519, 517, 249, 323])).
% 19.43/19.63 tff(522,plain,
% 19.43/19.63 (product(product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), X4!1), product(X3!2, product(product(X2!3, X3!2), X5!0))) = product(product(X2!3, X4!1), product(X3!2, X5!0))),
% 19.43/19.63 inference(monotonicity,[status(thm)],[521, 186])).
% 19.43/19.63 tff(523,plain,
% 19.43/19.63 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), X4!1), product(X3!2, product(product(X2!3, X3!2), X5!0))) = product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))))),
% 19.43/19.63 inference(quant_inst,[status(thm)],[])).
% 19.43/19.63 tff(524,plain,
% 19.43/19.63 (product(product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), X4!1), product(X3!2, product(product(X2!3, X3!2), X5!0))) = product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))),
% 19.43/19.63 inference(unit_resolution,[status(thm)],[523, 7])).
% 19.43/19.63 tff(525,plain,
% 19.43/19.63 (product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))) = product(product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), X4!1), product(X3!2, product(product(X2!3, X3!2), X5!0)))),
% 19.43/19.63 inference(symmetry,[status(thm)],[524])).
% 19.43/19.63 tff(526,plain,
% 19.43/19.63 (product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))) = product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))),
% 19.43/19.63 inference(monotonicity,[status(thm)],[365])).
% 19.43/19.63 tff(527,plain,
% 19.43/19.63 (product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0)))),
% 19.43/19.63 inference(transitivity,[status(thm)],[526, 525, 522, 476, 475, 474])).
% 19.43/19.63 tff(528,plain,
% 19.43/19.63 (product(product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(product(X2!3, X4!1), product(X3!2, X5!0))) = product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))), product(product(X2!3, X4!1), product(X3!2, X5!0)))),
% 19.43/19.63 inference(monotonicity,[status(thm)],[527])).
% 19.43/19.63 tff(529,plain,
% 19.43/19.63 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(product(X2!3, X4!1), product(X3!2, X5!0))) = product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, X4!1), product(X3!2, X5!0)))))),
% 19.43/19.63 inference(quant_inst,[status(thm)],[])).
% 19.43/19.63 tff(530,plain,
% 19.43/19.63 (product(product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(product(X2!3, X4!1), product(X3!2, X5!0))) = product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, X4!1), product(X3!2, X5!0))))),
% 19.43/19.63 inference(unit_resolution,[status(thm)],[529, 7])).
% 19.43/19.63 tff(531,plain,
% 19.43/19.63 (product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, X4!1), product(X3!2, X5!0)))) = product(product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(product(X2!3, X4!1), product(X3!2, X5!0)))),
% 19.43/19.63 inference(symmetry,[status(thm)],[530])).
% 19.43/19.63 tff(532,plain,
% 19.43/19.63 (product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, X4!1), product(X3!2, X5!0)))) = product(product(X2!3, X4!1), product(X3!2, X5!0))),
% 19.43/19.63 inference(transitivity,[status(thm)],[531, 528, 424, 427])).
% 19.43/19.63 tff(533,plain,
% 19.43/19.63 (product(product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, X4!1), product(X3!2, X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.43/19.64 inference(monotonicity,[status(thm)],[532])).
% 19.43/19.64 tff(534,plain,
% 19.43/19.64 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, X4!1), product(X3!2, X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, X4!1), product(X3!2, X5!0))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))))),
% 19.43/19.64 inference(quant_inst,[status(thm)],[])).
% 19.43/19.64 tff(535,plain,
% 19.43/19.64 (product(product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, X4!1), product(X3!2, X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, X4!1), product(X3!2, X5!0))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))),
% 19.43/19.64 inference(unit_resolution,[status(thm)],[534, 7])).
% 19.43/19.64 tff(536,plain,
% 19.43/19.64 (product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, X4!1), product(X3!2, X5!0))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))) = product(product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, X4!1), product(X3!2, X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.43/19.64 inference(symmetry,[status(thm)],[535])).
% 19.43/19.64 tff(537,plain,
% 19.43/19.64 (product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, X4!1), product(X3!2, X5!0))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))) = product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))),
% 19.43/19.64 inference(transitivity,[status(thm)],[536, 533, 514, 509, 506, 494, 491, 179, 176, 162, 159, 157, 93, 90, 75, 72, 69, 65, 9])).
% 19.43/19.64 tff(538,plain,
% 19.43/19.64 (product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X4!1)) = product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), X4!1)),
% 19.43/19.64 inference(symmetry,[status(thm)],[62])).
% 19.43/19.64 tff(539,plain,
% 19.43/19.64 (product(X2!3, X4!1) = product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X4!1))),
% 19.43/19.64 inference(symmetry,[status(thm)],[60])).
% 19.43/19.64 tff(540,plain,
% 19.43/19.64 (product(X2!3, product(product(X3!2, X2!3), X4!1)) = product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), X4!1)),
% 19.43/19.64 inference(transitivity,[status(thm)],[66, 39, 539, 538])).
% 19.43/19.64 tff(541,plain,
% 19.43/19.64 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0) = product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), X4!1), X5!0)),
% 19.43/19.64 inference(monotonicity,[status(thm)],[540])).
% 19.43/19.64 tff(542,plain,
% 19.43/19.64 (product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), X4!1), X5!0) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0)),
% 19.43/19.64 inference(symmetry,[status(thm)],[541])).
% 19.43/19.64 tff(543,plain,
% 19.43/19.64 (product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0)),
% 19.43/19.64 inference(transitivity,[status(thm)],[500, 542])).
% 19.43/19.64 tff(544,plain,
% 19.43/19.64 (product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), X4!1) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0), X4!1)),
% 19.43/19.64 inference(monotonicity,[status(thm)],[543])).
% 19.43/19.64 tff(545,plain,
% 19.43/19.64 (product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), X4!1) = product(X2!3, X4!1)),
% 19.43/19.64 inference(transitivity,[status(thm)],[544, 519, 517, 249, 323])).
% 19.43/19.64 tff(546,plain,
% 19.43/19.64 (product(product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), X4!1), product(X3!2, product(product(X2!3, X3!2), X5!0))) = product(product(X2!3, X4!1), product(X3!2, X5!0))),
% 19.43/19.64 inference(monotonicity,[status(thm)],[545, 186])).
% 19.43/19.64 tff(547,plain,
% 19.43/19.64 (product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0)))),
% 19.43/19.64 inference(transitivity,[status(thm)],[526, 525, 546, 476, 475, 474])).
% 19.43/19.64 tff(548,plain,
% 19.43/19.64 (product(product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(product(X2!3, X4!1), product(X3!2, X5!0))) = product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))), product(product(X2!3, X4!1), product(X3!2, X5!0)))),
% 19.43/19.64 inference(monotonicity,[status(thm)],[547])).
% 19.43/19.64 tff(549,plain,
% 19.43/19.64 (product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, X4!1), product(X3!2, X5!0)))) = product(product(X2!3, X4!1), product(X3!2, X5!0))),
% 19.43/19.64 inference(transitivity,[status(thm)],[531, 548, 424, 427])).
% 19.43/19.64 tff(550,plain,
% 19.43/19.64 (product(product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, X4!1), product(X3!2, X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.43/19.64 inference(monotonicity,[status(thm)],[549])).
% 19.43/19.64 tff(551,assumption,(product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, X4!1), product(X3!2, X5!0))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))) = product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))), introduced(assumption)).
% 19.43/19.64 tff(552,plain,
% 19.43/19.64 (product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)) = product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, X4!1), product(X3!2, X5!0))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))),
% 19.43/19.64 inference(symmetry,[status(thm)],[551])).
% 19.43/19.64 tff(553,plain,
% 19.43/19.64 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.43/19.64 inference(transitivity,[status(thm)],[541, 9, 552, 536, 550])).
% 19.43/19.64 tff(554,plain,
% 19.43/19.64 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0), X4!1) = product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))), X4!1)),
% 19.43/19.64 inference(monotonicity,[status(thm)],[553])).
% 19.43/19.64 tff(555,plain,
% 19.43/19.64 (product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))), X4!1) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0), X4!1)),
% 19.43/19.64 inference(symmetry,[status(thm)],[554])).
% 19.43/19.64 tff(556,plain,
% 19.43/19.64 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))), X4!1) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), X4!1)))),
% 19.43/19.64 inference(quant_inst,[status(thm)],[])).
% 19.43/19.64 tff(557,plain,
% 19.43/19.64 (product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))), X4!1) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), X4!1))),
% 19.43/19.64 inference(unit_resolution,[status(thm)],[556, 7])).
% 19.43/19.64 tff(558,plain,
% 19.43/19.64 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), X4!1)) = product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))), X4!1)),
% 19.43/19.64 inference(symmetry,[status(thm)],[557])).
% 19.43/19.64 tff(559,plain,
% 19.43/19.64 (product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), X4!1) = product(X2!3, product(product(X3!2, X2!3), X4!1))),
% 19.43/19.64 inference(transitivity,[status(thm)],[544, 519, 517, 249, 323, 40, 11])).
% 19.43/19.64 tff(560,plain,
% 19.43/19.64 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), X4!1)) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.43/19.64 inference(monotonicity,[status(thm)],[559])).
% 19.43/19.64 tff(561,plain,
% 19.43/19.64 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), X4!1))),
% 19.43/19.64 inference(symmetry,[status(thm)],[560])).
% 19.43/19.64 tff(562,plain,
% 19.43/19.64 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.43/19.64 inference(monotonicity,[status(thm)],[188])).
% 19.43/19.64 tff(563,plain,
% 19.43/19.64 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.43/19.64 inference(symmetry,[status(thm)],[562])).
% 19.43/19.64 tff(564,plain,
% 19.43/19.64 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))))),
% 19.43/19.64 inference(quant_inst,[status(thm)],[])).
% 19.43/19.64 tff(565,plain,
% 19.43/19.64 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.43/19.64 inference(unit_resolution,[status(thm)],[564, 7])).
% 19.43/19.64 tff(566,plain,
% 19.43/19.64 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.43/19.64 inference(symmetry,[status(thm)],[565])).
% 19.43/19.64 tff(567,plain,
% 19.43/19.64 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(X2!3, product(product(X3!2, X2!3), X4!1))),
% 19.43/19.64 inference(transitivity,[status(thm)],[566, 563, 561, 558, 555, 519, 517, 249, 323, 40, 11])).
% 19.43/19.64 tff(568,plain,
% 19.43/19.64 (product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(X2!3, product(product(X3!2, X2!3), X4!1))),
% 19.43/19.64 inference(transitivity,[status(thm)],[466, 463])).
% 19.43/19.64 tff(569,plain,
% 19.43/19.64 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.43/19.64 inference(monotonicity,[status(thm)],[568])).
% 19.43/19.64 tff(570,plain,
% 19.43/19.64 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(product(X3!2, X2!3), X4!1)))))),
% 19.43/19.64 inference(quant_inst,[status(thm)],[])).
% 19.43/19.64 tff(571,plain,
% 19.43/19.64 (product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.43/19.64 inference(unit_resolution,[status(thm)],[570, 7])).
% 19.43/19.64 tff(572,plain,
% 19.43/19.64 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X2!3, X3!2), X5!0) = product(X2!3, product(X3!2, X5!0)))),
% 19.43/19.64 inference(quant_inst,[status(thm)],[])).
% 19.43/19.64 tff(573,plain,
% 19.43/19.64 (product(product(X2!3, X3!2), X5!0) = product(X2!3, product(X3!2, X5!0))),
% 19.43/19.64 inference(unit_resolution,[status(thm)],[572, 7])).
% 19.43/19.64 tff(574,plain,
% 19.43/19.64 (product(X2!3, product(X3!2, X5!0)) = product(product(X2!3, X3!2), X5!0)),
% 19.43/19.64 inference(symmetry,[status(thm)],[573])).
% 19.43/19.64 tff(575,plain,
% 19.43/19.64 (product(X3!2, product(X2!3, product(X3!2, X5!0))) = product(X3!2, product(product(X2!3, X3!2), X5!0))),
% 19.43/19.64 inference(monotonicity,[status(thm)],[574])).
% 19.43/19.64 tff(576,plain,
% 19.43/19.64 (product(X3!2, product(product(X2!3, X3!2), X5!0)) = product(X3!2, product(X2!3, product(X3!2, X5!0)))),
% 19.43/19.64 inference(symmetry,[status(thm)],[575])).
% 19.43/19.64 tff(577,plain,
% 19.43/19.64 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(X3!2, product(X2!3, product(X3!2, X5!0))), product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.43/19.64 inference(monotonicity,[status(thm)],[576])).
% 19.43/19.64 tff(578,plain,
% 19.43/19.64 (product(product(X3!2, product(X2!3, product(X3!2, X5!0))), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.43/19.64 inference(symmetry,[status(thm)],[577])).
% 19.43/19.64 tff(579,plain,
% 19.43/19.64 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X3!2, product(X2!3, product(X3!2, X5!0))), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.43/19.64 inference(quant_inst,[status(thm)],[])).
% 19.43/19.64 tff(580,plain,
% 19.43/19.64 (product(product(X3!2, product(X2!3, product(X3!2, X5!0))), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.43/19.64 inference(unit_resolution,[status(thm)],[579, 7])).
% 19.43/19.64 tff(581,plain,
% 19.43/19.64 (product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(product(X3!2, product(X2!3, product(X3!2, X5!0))), product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.43/19.64 inference(symmetry,[status(thm)],[580])).
% 19.43/19.64 tff(582,plain,
% 19.43/19.64 (product(product(X3!2, X5!0), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.43/19.64 inference(monotonicity,[status(thm)],[274])).
% 19.43/19.64 tff(583,plain,
% 19.43/19.64 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X3!2, X5!0), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(X3!2, product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.43/19.64 inference(quant_inst,[status(thm)],[])).
% 19.43/19.64 tff(584,plain,
% 19.43/19.64 (product(product(X3!2, X5!0), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(X3!2, product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.43/19.64 inference(unit_resolution,[status(thm)],[583, 7])).
% 19.43/19.64 tff(585,plain,
% 19.43/19.64 (product(X3!2, product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(product(X3!2, X5!0), product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.43/19.64 inference(symmetry,[status(thm)],[584])).
% 19.43/19.64 tff(586,plain,
% 19.43/19.64 (product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(X5!0, product(X2!3, X3!2))),
% 19.43/19.64 inference(monotonicity,[status(thm)],[204])).
% 19.43/19.64 tff(587,plain,
% 19.43/19.64 (product(X5!0, product(X2!3, X3!2)) = product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.43/19.64 inference(symmetry,[status(thm)],[586])).
% 19.43/19.64 tff(588,plain,
% 19.43/19.64 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X5!0, X2!3), X3!2) = product(X5!0, product(X2!3, X3!2)))),
% 19.43/19.64 inference(quant_inst,[status(thm)],[])).
% 19.43/19.64 tff(589,plain,
% 19.43/19.64 (product(product(X5!0, X2!3), X3!2) = product(X5!0, product(X2!3, X3!2))),
% 19.43/19.64 inference(unit_resolution,[status(thm)],[588, 7])).
% 19.43/19.64 tff(590,plain,
% 19.43/19.64 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X5!0), X2!3) = product(X5!0, X2!3)),
% 19.43/19.64 inference(monotonicity,[status(thm)],[269])).
% 19.43/19.64 tff(591,plain,
% 19.43/19.64 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X5!0), X2!3) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3)))),
% 19.43/19.64 inference(quant_inst,[status(thm)],[])).
% 19.43/19.64 tff(592,plain,
% 19.43/19.65 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X5!0), X2!3) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3))),
% 19.43/19.65 inference(unit_resolution,[status(thm)],[591, 7])).
% 19.43/19.65 tff(593,plain,
% 19.43/19.65 (product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3)) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X5!0), X2!3)),
% 19.43/19.65 inference(symmetry,[status(thm)],[592])).
% 19.43/19.65 tff(594,plain,
% 19.43/19.65 (product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3)) = product(X5!0, X2!3)),
% 19.43/19.65 inference(transitivity,[status(thm)],[593, 590])).
% 19.43/19.65 tff(595,plain,
% 19.43/19.65 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X5!0), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))))),
% 19.43/19.65 inference(quant_inst,[status(thm)],[])).
% 19.43/19.65 tff(596,plain,
% 19.43/19.65 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X5!0), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.43/19.65 inference(unit_resolution,[status(thm)],[595, 7])).
% 19.43/19.65 tff(597,plain,
% 19.43/19.65 (product(product(X5!0, X4!1), X5!0) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X5!0)),
% 19.43/19.65 inference(symmetry,[status(thm)],[268])).
% 19.43/19.65 tff(598,plain,
% 19.43/19.65 (product(X5!0, product(X4!1, X5!0)) = product(product(X5!0, X4!1), X5!0)),
% 19.43/19.65 inference(symmetry,[status(thm)],[267])).
% 19.43/19.65 tff(599,plain,
% 19.43/19.65 (X5!0 = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X5!0)),
% 19.43/19.65 inference(transitivity,[status(thm)],[239, 598, 597])).
% 19.43/19.65 tff(600,plain,
% 19.43/19.65 (product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X5!0), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.43/19.65 inference(monotonicity,[status(thm)],[599])).
% 19.43/19.65 tff(601,plain,
% 19.43/19.65 (product(X5!0, product(X4!1, product(product(X5!0, X4!1), X5!0))) = product(X5!0, product(X4!1, X5!0))),
% 19.43/19.65 inference(monotonicity,[status(thm)],[57])).
% 19.43/19.65 tff(602,plain,
% 19.43/19.65 (product(X5!0, product(X4!1, product(product(X5!0, X4!1), X5!0))) = X5!0),
% 19.43/19.65 inference(transitivity,[status(thm)],[601, 238])).
% 19.43/19.65 tff(603,plain,
% 19.43/19.65 (product(product(X5!0, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.43/19.65 inference(monotonicity,[status(thm)],[602])).
% 19.43/19.65 tff(604,plain,
% 19.43/19.65 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X5!0, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(X5!0, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))))),
% 19.43/19.65 inference(quant_inst,[status(thm)],[])).
% 19.43/19.65 tff(605,plain,
% 19.43/19.65 (product(product(X5!0, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(X5!0, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.43/19.65 inference(unit_resolution,[status(thm)],[604, 7])).
% 19.43/19.65 tff(606,plain,
% 19.43/19.65 (product(X5!0, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(product(X5!0, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.43/19.65 inference(symmetry,[status(thm)],[605])).
% 19.43/19.65 tff(607,plain,
% 19.43/19.65 (product(product(X5!0, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(X5!0, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.43/19.65 inference(monotonicity,[status(thm)],[602])).
% 19.43/19.65 tff(608,plain,
% 19.43/19.65 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X5!0, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(X5!0, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))))))),
% 19.43/19.65 inference(quant_inst,[status(thm)],[])).
% 19.43/19.65 tff(609,plain,
% 19.43/19.65 (product(product(X5!0, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(X5!0, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))))),
% 19.43/19.65 inference(unit_resolution,[status(thm)],[608, 7])).
% 19.43/19.65 tff(610,plain,
% 19.43/19.65 (product(X5!0, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))))) = product(product(X5!0, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.43/19.65 inference(symmetry,[status(thm)],[609])).
% 19.43/19.65 tff(611,plain,
% 19.43/19.65 (product(X5!0, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))))) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.43/19.65 inference(transitivity,[status(thm)],[610, 607, 606, 603, 600, 596])).
% 19.43/19.65 tff(612,plain,
% 19.43/19.65 (product(product(X5!0, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3))) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, X2!3))),
% 19.43/19.65 inference(monotonicity,[status(thm)],[611, 594])).
% 19.43/19.65 tff(613,plain,
% 19.43/19.65 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X5!0, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3))) = product(X5!0, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3)))))),
% 19.43/19.65 inference(quant_inst,[status(thm)],[])).
% 19.43/19.65 tff(614,plain,
% 19.43/19.65 (product(product(X5!0, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3))) = product(X5!0, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3))))),
% 19.43/19.65 inference(unit_resolution,[status(thm)],[613, 7])).
% 19.43/19.65 tff(615,plain,
% 19.43/19.65 (product(X5!0, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3)))) = product(product(X5!0, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3)))),
% 19.43/19.65 inference(symmetry,[status(thm)],[614])).
% 19.43/19.65 tff(616,plain,
% 19.43/19.65 (product(product(X5!0, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3)))) = product(X5!0, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3))))),
% 19.43/19.65 inference(monotonicity,[status(thm)],[602])).
% 19.43/19.65 tff(617,plain,
% 19.43/19.65 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X5!0, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3)))) = product(X5!0, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3))))))),
% 19.43/19.65 inference(quant_inst,[status(thm)],[])).
% 19.43/19.65 tff(618,plain,
% 19.43/19.65 (product(product(X5!0, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3)))) = product(X5!0, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3)))))),
% 19.43/19.65 inference(unit_resolution,[status(thm)],[617, 7])).
% 19.43/19.65 tff(619,plain,
% 19.43/19.65 (product(X5!0, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3))))) = product(product(X5!0, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3))))),
% 19.43/19.65 inference(symmetry,[status(thm)],[618])).
% 19.43/19.65 tff(620,plain,
% 19.43/19.65 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3)))))),
% 19.43/19.65 inference(quant_inst,[status(thm)],[])).
% 19.43/19.65 tff(621,plain,
% 19.43/19.65 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3))))),
% 19.43/19.65 inference(unit_resolution,[status(thm)],[620, 7])).
% 19.43/19.65 tff(622,plain,
% 19.43/19.65 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.43/19.65 inference(monotonicity,[status(thm)],[403])).
% 19.43/19.65 tff(623,plain,
% 19.43/19.65 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.43/19.65 inference(symmetry,[status(thm)],[622])).
% 19.43/19.65 tff(624,plain,
% 19.43/19.65 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))))),
% 19.43/19.65 inference(quant_inst,[status(thm)],[])).
% 19.43/19.65 tff(625,plain,
% 19.43/19.65 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.43/19.65 inference(unit_resolution,[status(thm)],[624, 7])).
% 19.43/19.65 tff(626,plain,
% 19.43/19.65 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.43/19.65 inference(symmetry,[status(thm)],[625])).
% 19.43/19.65 tff(627,plain,
% 19.43/19.65 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.43/19.65 inference(transitivity,[status(thm)],[626, 623])).
% 19.43/19.65 tff(628,plain,
% 19.43/19.65 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.43/19.65 inference(monotonicity,[status(thm)],[627])).
% 19.43/19.65 tff(629,plain,
% 19.43/19.65 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))))),
% 19.43/19.65 inference(symmetry,[status(thm)],[628])).
% 19.43/19.65 tff(630,plain,
% 19.43/19.65 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3)))),
% 19.43/19.65 inference(monotonicity,[status(thm)],[629])).
% 19.43/19.65 tff(631,plain,
% 19.43/19.65 (product(X2!3, X4!1) = product(product(X2!3, product(X3!2, X2!3)), X4!1)),
% 19.43/19.65 inference(monotonicity,[status(thm)],[87])).
% 19.43/19.65 tff(632,plain,
% 19.43/19.65 (product(X2!3, X4!1) = product(X2!3, product(product(X3!2, X2!3), X4!1))),
% 19.43/19.65 inference(transitivity,[status(thm)],[631, 11])).
% 19.43/19.65 tff(633,plain,
% 19.43/19.65 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, X4!1)) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.43/19.65 inference(monotonicity,[status(thm)],[632])).
% 19.43/19.65 tff(634,plain,
% 19.43/19.65 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3), X4!1) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, X4!1)))),
% 19.43/19.65 inference(quant_inst,[status(thm)],[])).
% 19.43/19.65 tff(635,plain,
% 19.43/19.65 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3), X4!1) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, X4!1))),
% 19.43/19.65 inference(unit_resolution,[status(thm)],[634, 7])).
% 19.43/19.65 tff(636,plain,
% 19.43/19.65 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3), X4!1) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.43/19.65 inference(transitivity,[status(thm)],[635, 633])).
% 19.43/19.65 tff(637,plain,
% 19.43/19.65 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3), X4!1)) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.43/19.65 inference(monotonicity,[status(thm)],[636])).
% 19.43/19.65 tff(638,plain,
% 19.43/19.65 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3)), X4!1) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3), X4!1)))),
% 19.43/19.65 inference(quant_inst,[status(thm)],[])).
% 19.43/19.65 tff(639,plain,
% 19.43/19.65 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3)), X4!1) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3), X4!1))),
% 19.43/19.65 inference(unit_resolution,[status(thm)],[638, 7])).
% 19.43/19.65 tff(640,plain,
% 19.43/19.65 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3)), X4!1) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.43/19.65 inference(transitivity,[status(thm)],[639, 637])).
% 19.43/19.65 tff(641,plain,
% 19.43/19.65 (product(product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3)), X4!1), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3)))),
% 19.43/19.65 inference(monotonicity,[status(thm)],[640])).
% 19.43/19.65 tff(642,plain,
% 19.43/19.65 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3)), X4!1), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3)), product(X4!1, product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3)))))),
% 19.43/19.66 inference(quant_inst,[status(thm)],[])).
% 19.43/19.66 tff(643,plain,
% 19.43/19.66 (product(product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3)), X4!1), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3)), product(X4!1, product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3))))),
% 19.43/19.66 inference(unit_resolution,[status(thm)],[642, 7])).
% 19.43/19.66 tff(644,plain,
% 19.43/19.66 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3)), product(X4!1, product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3)))) = product(product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3)), X4!1), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3)))),
% 19.43/19.66 inference(symmetry,[status(thm)],[643])).
% 19.43/19.66 tff(645,plain,
% 19.43/19.66 (product(X4!1, product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3))) = product(X4!1, product(X5!0, X2!3))),
% 19.43/19.66 inference(monotonicity,[status(thm)],[594])).
% 19.43/19.66 tff(646,plain,
% 19.43/19.66 (product(X4!1, product(X5!0, X2!3)) = product(X4!1, product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3)))),
% 19.43/19.66 inference(symmetry,[status(thm)],[645])).
% 19.43/19.66 tff(647,plain,
% 19.43/19.66 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X4!1, X5!0), X2!3) = product(X4!1, product(X5!0, X2!3)))),
% 19.43/19.66 inference(quant_inst,[status(thm)],[])).
% 19.43/19.66 tff(648,plain,
% 19.43/19.66 (product(product(X4!1, X5!0), X2!3) = product(X4!1, product(X5!0, X2!3))),
% 19.43/19.66 inference(unit_resolution,[status(thm)],[647, 7])).
% 19.43/19.66 tff(649,plain,
% 19.43/19.66 (product(product(X4!1, X5!0), X2!3) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3)),
% 19.43/19.66 inference(monotonicity,[status(thm)],[73])).
% 19.43/19.66 tff(650,plain,
% 19.43/19.66 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3) = product(product(X4!1, X5!0), X2!3)),
% 19.43/19.66 inference(symmetry,[status(thm)],[649])).
% 19.43/19.66 tff(651,plain,
% 19.43/19.66 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))), X2!3)),
% 19.43/19.66 inference(monotonicity,[status(thm)],[403])).
% 19.43/19.66 tff(652,plain,
% 19.43/19.66 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))), X2!3) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3)),
% 19.43/19.66 inference(symmetry,[status(thm)],[651])).
% 19.43/19.66 tff(653,plain,
% 19.43/19.66 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))), X2!3) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3)))),
% 19.43/19.66 inference(quant_inst,[status(thm)],[])).
% 19.43/19.66 tff(654,plain,
% 19.43/19.66 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))), X2!3) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3))),
% 19.43/19.66 inference(unit_resolution,[status(thm)],[653, 7])).
% 19.43/19.66 tff(655,plain,
% 19.43/19.66 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3)) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))), X2!3)),
% 19.43/19.66 inference(symmetry,[status(thm)],[654])).
% 19.43/19.66 tff(656,plain,
% 19.43/19.66 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3)) = product(X4!1, product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3)))),
% 19.43/19.66 inference(transitivity,[status(thm)],[655, 652, 650, 648, 646])).
% 19.43/19.66 tff(657,plain,
% 19.43/19.66 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3)), product(X4!1, product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3))))),
% 19.43/19.66 inference(monotonicity,[status(thm)],[656])).
% 19.43/19.66 tff(658,plain,
% 19.43/19.66 ((~![A: $i] : (product(A, A) = A)) | (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3)))),
% 19.43/19.66 inference(quant_inst,[status(thm)],[])).
% 19.43/19.66 tff(659,plain,
% 19.43/19.66 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3))),
% 19.43/19.66 inference(unit_resolution,[status(thm)],[658, 131])).
% 19.43/19.66 tff(660,plain,
% 19.43/19.66 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3)) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3)))),
% 19.43/19.66 inference(symmetry,[status(thm)],[659])).
% 19.43/19.66 tff(661,plain,
% 19.43/19.66 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3)) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3))))),
% 19.43/19.66 inference(transitivity,[status(thm)],[660, 657, 644, 641, 630, 621])).
% 19.43/19.66 tff(662,plain,
% 19.43/19.66 (product(X5!0, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3))) = product(X5!0, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3)))))),
% 19.43/19.66 inference(monotonicity,[status(thm)],[661])).
% 19.43/19.66 tff(663,plain,
% 19.43/19.66 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X5!0, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3)) = product(X5!0, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3))))),
% 19.43/19.66 inference(quant_inst,[status(thm)],[])).
% 19.43/19.66 tff(664,plain,
% 19.43/19.66 (product(product(X5!0, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3)) = product(X5!0, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3)))),
% 19.49/19.66 inference(unit_resolution,[status(thm)],[663, 7])).
% 19.49/19.66 tff(665,plain,
% 19.49/19.66 (product(X5!0, product(X4!1, X5!0)) = product(X5!0, product(X4!1, product(product(X5!0, X4!1), X5!0)))),
% 19.49/19.66 inference(symmetry,[status(thm)],[601])).
% 19.49/19.66 tff(666,plain,
% 19.49/19.66 (X5!0 = product(X5!0, product(X4!1, product(product(X5!0, X4!1), X5!0)))),
% 19.49/19.66 inference(transitivity,[status(thm)],[239, 665])).
% 19.49/19.66 tff(667,plain,
% 19.49/19.66 (product(X5!0, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3)) = product(product(X5!0, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3))),
% 19.49/19.66 inference(monotonicity,[status(thm)],[666])).
% 19.49/19.66 tff(668,plain,
% 19.49/19.66 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X5!0, product(X4!1, product(product(X5!0, X4!1), X5!0))), X2!3) = product(X5!0, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3)))),
% 19.49/19.66 inference(quant_inst,[status(thm)],[])).
% 19.49/19.66 tff(669,plain,
% 19.49/19.66 (product(product(X5!0, product(X4!1, product(product(X5!0, X4!1), X5!0))), X2!3) = product(X5!0, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3))),
% 19.49/19.66 inference(unit_resolution,[status(thm)],[668, 7])).
% 19.49/19.66 tff(670,plain,
% 19.49/19.66 (product(X5!0, X2!3) = product(product(X5!0, product(X4!1, product(product(X5!0, X4!1), X5!0))), X2!3)),
% 19.49/19.66 inference(monotonicity,[status(thm)],[666])).
% 19.49/19.66 tff(671,plain,
% 19.49/19.66 (product(X5!0, X2!3) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, X2!3))),
% 19.49/19.66 inference(transitivity,[status(thm)],[670, 669, 667, 664, 662, 619, 616, 615, 612])).
% 19.49/19.66 tff(672,plain,
% 19.49/19.66 (product(product(X5!0, X2!3), X3!2) = product(product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, X2!3)), X3!2)),
% 19.49/19.66 inference(monotonicity,[status(thm)],[671])).
% 19.49/19.66 tff(673,plain,
% 19.49/19.66 (product(product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, X2!3)), X3!2) = product(product(X5!0, X2!3), X3!2)),
% 19.49/19.66 inference(symmetry,[status(thm)],[672])).
% 19.49/19.66 tff(674,plain,
% 19.49/19.66 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3))) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, X2!3))),
% 19.49/19.66 inference(monotonicity,[status(thm)],[594])).
% 19.49/19.66 tff(675,plain,
% 19.49/19.66 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, X2!3)) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3)))),
% 19.49/19.66 inference(symmetry,[status(thm)],[674])).
% 19.49/19.66 tff(676,plain,
% 19.49/19.66 (product(product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, X2!3)), X3!2) = product(product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3))), X3!2)),
% 19.49/19.66 inference(monotonicity,[status(thm)],[675])).
% 19.49/19.66 tff(677,plain,
% 19.49/19.66 (product(product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3))), X3!2) = product(product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, X2!3)), X3!2)),
% 19.49/19.66 inference(symmetry,[status(thm)],[676])).
% 19.49/19.66 tff(678,plain,
% 19.49/19.66 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3))), X3!2) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3)), X3!2)))),
% 19.49/19.66 inference(quant_inst,[status(thm)],[])).
% 19.49/19.66 tff(679,plain,
% 19.49/19.66 (product(product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3))), X3!2) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3)), X3!2))),
% 19.49/19.66 inference(unit_resolution,[status(thm)],[678, 7])).
% 19.49/19.66 tff(680,plain,
% 19.49/19.66 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3)), X3!2)) = product(product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3))), X3!2)),
% 19.49/19.66 inference(symmetry,[status(thm)],[679])).
% 19.49/19.66 tff(681,plain,
% 19.49/19.66 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3)), X3!2) = product(product(X5!0, X2!3), X3!2)),
% 19.49/19.66 inference(monotonicity,[status(thm)],[594])).
% 19.49/19.66 tff(682,plain,
% 19.49/19.66 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3)), X3!2) = product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.49/19.66 inference(transitivity,[status(thm)],[681, 589, 587])).
% 19.49/19.66 tff(683,plain,
% 19.49/19.66 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3)), X3!2)) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.49/19.66 inference(monotonicity,[status(thm)],[682])).
% 19.49/19.66 tff(684,plain,
% 19.49/19.66 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3)), X3!2))),
% 19.49/19.66 inference(symmetry,[status(thm)],[683])).
% 19.49/19.66 tff(685,plain,
% 19.49/19.66 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.49/19.66 inference(transitivity,[status(thm)],[684, 680, 677, 673, 589, 587])).
% 19.49/19.66 tff(686,plain,
% 19.49/19.66 (product(X3!2, product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(X3!2, product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.49/19.66 inference(monotonicity,[status(thm)],[685])).
% 19.49/19.66 tff(687,plain,
% 19.49/19.66 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X5!0), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.49/19.66 inference(monotonicity,[status(thm)],[269])).
% 19.49/19.66 tff(688,plain,
% 19.49/19.66 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X5!0), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.66 inference(quant_inst,[status(thm)],[])).
% 19.49/19.66 tff(689,plain,
% 19.49/19.66 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X5!0), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.49/19.66 inference(unit_resolution,[status(thm)],[688, 7])).
% 19.49/19.66 tff(690,plain,
% 19.49/19.66 (product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X5!0), product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.49/19.66 inference(symmetry,[status(thm)],[689])).
% 19.49/19.66 tff(691,plain,
% 19.49/19.66 (product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.49/19.66 inference(transitivity,[status(thm)],[690, 687])).
% 19.49/19.66 tff(692,plain,
% 19.49/19.66 ((~![A: $i] : (product(A, A) = A)) | (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))))),
% 19.49/19.66 inference(quant_inst,[status(thm)],[])).
% 19.49/19.66 tff(693,plain,
% 19.49/19.66 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.49/19.66 inference(unit_resolution,[status(thm)],[692, 131])).
% 19.49/19.66 tff(694,plain,
% 19.49/19.66 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X5!0), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.49/19.66 inference(symmetry,[status(thm)],[600])).
% 19.49/19.66 tff(695,plain,
% 19.49/19.66 (product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), X5!0), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.49/19.66 inference(symmetry,[status(thm)],[596])).
% 19.49/19.66 tff(696,plain,
% 19.49/19.66 (product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.49/19.66 inference(transitivity,[status(thm)],[695, 694])).
% 19.49/19.66 tff(697,plain,
% 19.49/19.66 (product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.49/19.66 inference(monotonicity,[status(thm)],[696])).
% 19.49/19.66 tff(698,plain,
% 19.49/19.66 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))))) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))))),
% 19.49/19.67 inference(monotonicity,[status(thm)],[697])).
% 19.49/19.67 tff(699,plain,
% 19.49/19.67 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))))) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.49/19.67 inference(transitivity,[status(thm)],[698, 693])).
% 19.49/19.67 tff(700,assumption,(~(product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))))) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))))), introduced(assumption)).
% 19.49/19.67 tff(701,plain,
% 19.49/19.67 ($false),
% 19.49/19.67 inference(unit_resolution,[status(thm)],[700, 699])).
% 19.49/19.67 tff(702,plain,(product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))))) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))), inference(lemma,lemma(discharge,[]))).
% 19.49/19.67 tff(703,plain,
% 19.49/19.67 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))))),
% 19.49/19.67 inference(quant_inst,[status(thm)],[])).
% 19.49/19.67 tff(704,plain,
% 19.49/19.67 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))))),
% 19.49/19.67 inference(unit_resolution,[status(thm)],[703, 7])).
% 19.49/19.67 tff(705,plain,
% 19.49/19.67 (product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1))) = product(X5!0, product(product(X4!1, X5!0), X4!1))),
% 19.49/19.67 inference(transitivity,[status(thm)],[284, 287, 289, 240, 243])).
% 19.49/19.67 tff(706,plain,
% 19.49/19.67 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.49/19.67 inference(monotonicity,[status(thm)],[705])).
% 19.49/19.67 tff(707,plain,
% 19.49/19.67 (product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.49/19.67 inference(symmetry,[status(thm)],[706])).
% 19.49/19.67 tff(708,plain,
% 19.49/19.67 (product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))))),
% 19.49/19.67 inference(transitivity,[status(thm)],[707, 704])).
% 19.49/19.67 tff(709,plain,
% 19.49/19.67 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))))),
% 19.49/19.67 inference(monotonicity,[status(thm)],[708])).
% 19.49/19.67 tff(710,plain,
% 19.49/19.67 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.49/19.67 inference(transitivity,[status(thm)],[709, 702])).
% 19.49/19.67 tff(711,plain,
% 19.49/19.67 (product(product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.49/19.67 inference(monotonicity,[status(thm)],[710, 691])).
% 19.49/19.67 tff(712,plain,
% 19.49/19.67 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))))),
% 19.49/19.67 inference(quant_inst,[status(thm)],[])).
% 19.49/19.67 tff(713,plain,
% 19.49/19.67 (product(product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))))),
% 19.49/19.67 inference(unit_resolution,[status(thm)],[712, 7])).
% 19.49/19.67 tff(714,plain,
% 19.49/19.67 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))) = product(product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.67 inference(symmetry,[status(thm)],[713])).
% 19.49/19.67 tff(715,plain,
% 19.49/19.67 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.49/19.67 inference(monotonicity,[status(thm)],[691])).
% 19.49/19.67 tff(716,plain,
% 19.49/19.67 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.67 inference(symmetry,[status(thm)],[715])).
% 19.49/19.67 tff(717,plain,
% 19.49/19.67 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))))),
% 19.49/19.67 inference(monotonicity,[status(thm)],[716])).
% 19.49/19.67 tff(718,plain,
% 19.49/19.67 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.49/19.67 inference(transitivity,[status(thm)],[717, 714, 711])).
% 19.49/19.67 tff(719,plain,
% 19.49/19.67 (product(X3!2, product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))) = product(X3!2, product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.67 inference(monotonicity,[status(thm)],[718])).
% 19.49/19.67 tff(720,plain,
% 19.49/19.67 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X3!2, product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(X3!2, product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))))),
% 19.49/19.67 inference(quant_inst,[status(thm)],[])).
% 19.49/19.67 tff(721,plain,
% 19.49/19.67 (product(product(X3!2, product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(X3!2, product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))))),
% 19.49/19.67 inference(unit_resolution,[status(thm)],[720, 7])).
% 19.49/19.67 tff(722,plain,
% 19.49/19.67 (product(X3!2, product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))) = product(X3!2, product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.49/19.67 inference(monotonicity,[status(thm)],[696])).
% 19.49/19.67 tff(723,plain,
% 19.49/19.67 (product(X3!2, product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(X3!2, product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))))),
% 19.49/19.67 inference(symmetry,[status(thm)],[722])).
% 19.49/19.67 tff(724,plain,
% 19.49/19.67 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X3!2, X5!0), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(X3!2, product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))))),
% 19.49/19.67 inference(quant_inst,[status(thm)],[])).
% 19.49/19.67 tff(725,plain,
% 19.49/19.67 (product(product(X3!2, X5!0), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(X3!2, product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.49/19.67 inference(unit_resolution,[status(thm)],[724, 7])).
% 19.49/19.67 tff(726,plain,
% 19.49/19.67 (product(product(X2!3, product(X3!2, X2!3)), X4!1) = product(X2!3, X4!1)),
% 19.49/19.67 inference(symmetry,[status(thm)],[631])).
% 19.49/19.67 tff(727,plain,
% 19.49/19.67 (product(X2!3, product(product(X3!2, X2!3), X4!1)) = product(X2!3, X4!1)),
% 19.49/19.67 inference(transitivity,[status(thm)],[66, 726])).
% 19.49/19.67 tff(728,plain,
% 19.49/19.67 (product(product(X3!2, X5!0), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(X3!2, X5!0), product(X2!3, X4!1))),
% 19.49/19.67 inference(monotonicity,[status(thm)],[727])).
% 19.49/19.67 tff(729,plain,
% 19.49/19.67 (product(product(X3!2, X5!0), product(X2!3, X4!1)) = product(product(X3!2, X5!0), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.49/19.67 inference(symmetry,[status(thm)],[728])).
% 19.49/19.67 tff(730,plain,
% 19.49/19.67 (product(product(X3!2, X5!0), product(X2!3, X4!1)) = product(X3!2, product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))))),
% 19.49/19.67 inference(transitivity,[status(thm)],[729, 725, 723])).
% 19.49/19.67 tff(731,plain,
% 19.49/19.67 (product(product(product(X3!2, X5!0), product(X2!3, X4!1)), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(X3!2, product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.67 inference(monotonicity,[status(thm)],[730])).
% 19.49/19.67 tff(732,plain,
% 19.49/19.67 (product(X2!3, product(X4!1, product(X5!0, X4!1))) = product(X2!3, X4!1)),
% 19.49/19.67 inference(monotonicity,[status(thm)],[48])).
% 19.49/19.67 tff(733,plain,
% 19.49/19.67 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X5!0, X4!1)) = product(product(X2!3, X4!1), product(X5!0, X4!1))),
% 19.49/19.67 inference(monotonicity,[status(thm)],[727])).
% 19.49/19.67 tff(734,plain,
% 19.49/19.67 (product(X2!3, product(product(X3!2, X2!3), X4!1)) = product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), X4!1)),
% 19.49/19.67 inference(transitivity,[status(thm)],[66, 726, 539, 538])).
% 19.49/19.67 tff(735,plain,
% 19.49/19.67 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0) = product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), X4!1), X5!0)),
% 19.49/19.67 inference(monotonicity,[status(thm)],[734])).
% 19.49/19.67 tff(736,plain,
% 19.49/19.67 (product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), X4!1), X5!0) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0)),
% 19.49/19.67 inference(symmetry,[status(thm)],[735])).
% 19.49/19.67 tff(737,plain,
% 19.49/19.67 (product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0)),
% 19.49/19.67 inference(transitivity,[status(thm)],[500, 736])).
% 19.49/19.67 tff(738,plain,
% 19.49/19.67 (product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), X4!1) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0), X4!1)),
% 19.49/19.67 inference(monotonicity,[status(thm)],[737])).
% 19.49/19.67 tff(739,plain,
% 19.49/19.67 (product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), X4!1) = product(X2!3, X4!1)),
% 19.49/19.67 inference(transitivity,[status(thm)],[738, 519, 733, 249, 732])).
% 19.49/19.67 tff(740,plain,
% 19.49/19.67 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), X4!1)) = product(product(X3!2, X5!0), product(X2!3, X4!1))),
% 19.49/19.67 inference(monotonicity,[status(thm)],[186, 739])).
% 19.49/19.67 tff(741,plain,
% 19.49/19.67 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))), X4!1) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), X4!1)))),
% 19.49/19.67 inference(quant_inst,[status(thm)],[])).
% 19.49/19.67 tff(742,plain,
% 19.49/19.67 (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))), X4!1) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), X4!1))),
% 19.49/19.67 inference(unit_resolution,[status(thm)],[741, 7])).
% 19.49/19.67 tff(743,plain,
% 19.49/19.67 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0))),
% 19.49/19.67 inference(monotonicity,[status(thm)],[737])).
% 19.49/19.67 tff(744,plain,
% 19.49/19.67 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0)) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.49/19.67 inference(symmetry,[status(thm)],[743])).
% 19.49/19.67 tff(745,plain,
% 19.49/19.67 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))), X5!0) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0)))),
% 19.49/19.67 inference(quant_inst,[status(thm)],[])).
% 19.49/19.67 tff(746,plain,
% 19.49/19.68 (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))), X5!0) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0))),
% 19.49/19.68 inference(unit_resolution,[status(thm)],[745, 7])).
% 19.49/19.68 tff(747,plain,
% 19.49/19.68 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(X3!2, X5!0), product(X2!3, X4!1))),
% 19.49/19.68 inference(monotonicity,[status(thm)],[186, 727])).
% 19.49/19.68 tff(748,plain,
% 19.49/19.68 (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))), X5!0) = product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0)),
% 19.49/19.68 inference(monotonicity,[status(thm)],[747])).
% 19.49/19.68 tff(749,plain,
% 19.49/19.68 (product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0) = product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))), X5!0)),
% 19.49/19.68 inference(symmetry,[status(thm)],[748])).
% 19.49/19.68 tff(750,plain,
% 19.49/19.68 (product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.49/19.68 inference(transitivity,[status(thm)],[749, 746, 744])).
% 19.49/19.68 tff(751,plain,
% 19.49/19.68 (product(product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0), X4!1) = product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))), X4!1)),
% 19.49/19.68 inference(monotonicity,[status(thm)],[750])).
% 19.49/19.68 tff(752,plain,
% 19.49/19.68 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0)) = product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))), X5!0)),
% 19.49/19.68 inference(symmetry,[status(thm)],[746])).
% 19.49/19.68 tff(753,plain,
% 19.49/19.68 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X4!1, X5!0)) = product(product(X3!2, X5!0), product(X4!1, X5!0))),
% 19.49/19.68 inference(monotonicity,[status(thm)],[186])).
% 19.49/19.68 tff(754,plain,
% 19.49/19.68 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1), X5!0) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X4!1, X5!0)))),
% 19.49/19.68 inference(quant_inst,[status(thm)],[])).
% 19.49/19.68 tff(755,plain,
% 19.49/19.68 (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1), X5!0) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X4!1, X5!0))),
% 19.49/19.68 inference(unit_resolution,[status(thm)],[754, 7])).
% 19.49/19.68 tff(756,plain,
% 19.49/19.68 (product(product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), X5!0), X4!1) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1)),
% 19.49/19.68 inference(symmetry,[status(thm)],[273])).
% 19.49/19.68 tff(757,plain,
% 19.49/19.68 (product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)) = product(product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), X5!0), X4!1)),
% 19.49/19.68 inference(symmetry,[status(thm)],[262])).
% 19.49/19.68 tff(758,plain,
% 19.49/19.68 ((~![A: $i] : (product(A, A) = A)) | (product(product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))) = product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))),
% 19.49/19.68 inference(quant_inst,[status(thm)],[])).
% 19.49/19.68 tff(759,plain,
% 19.49/19.68 (product(product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))) = product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))),
% 19.49/19.68 inference(unit_resolution,[status(thm)],[758, 131])).
% 19.49/19.68 tff(760,plain,
% 19.49/19.68 (product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1)),
% 19.49/19.68 inference(transitivity,[status(thm)],[757, 756])).
% 19.49/19.68 tff(761,plain,
% 19.49/19.68 (product(product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1))) = product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1), product(X5!0, product(product(X4!1, X5!0), X4!1)))),
% 19.49/19.68 inference(monotonicity,[status(thm)],[760])).
% 19.49/19.68 tff(762,plain,
% 19.49/19.68 (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1), product(X5!0, product(product(X4!1, X5!0), X4!1))) = product(product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1)))),
% 19.49/19.68 inference(symmetry,[status(thm)],[761])).
% 19.49/19.68 tff(763,plain,
% 19.49/19.68 (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1), product(X5!0, product(product(X4!1, X5!0), X4!1))) = product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1), product(X5!0, X4!1))),
% 19.49/19.68 inference(monotonicity,[status(thm)],[245])).
% 19.49/19.68 tff(764,plain,
% 19.49/19.68 (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1), product(X5!0, X4!1)) = product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1), product(X5!0, product(product(X4!1, X5!0), X4!1)))),
% 19.49/19.68 inference(symmetry,[status(thm)],[763])).
% 19.49/19.68 tff(765,plain,
% 19.49/19.68 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1), X5!0), X4!1) = product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1), product(X5!0, X4!1)))),
% 19.49/19.68 inference(quant_inst,[status(thm)],[])).
% 19.49/19.68 tff(766,plain,
% 19.49/19.68 (product(product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1), X5!0), X4!1) = product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1), product(X5!0, X4!1))),
% 19.49/19.68 inference(unit_resolution,[status(thm)],[765, 7])).
% 19.49/19.68 tff(767,plain,
% 19.49/19.68 (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1), X5!0) = product(X3!2, product(product(X2!3, X3!2), X5!0))),
% 19.49/19.68 inference(transitivity,[status(thm)],[755, 753, 416, 414, 181, 184])).
% 19.49/19.68 tff(768,plain,
% 19.49/19.68 (product(product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1), X5!0), X4!1) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1)),
% 19.49/19.68 inference(monotonicity,[status(thm)],[767])).
% 19.49/19.68 tff(769,plain,
% 19.49/19.68 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1) = product(product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1), X5!0), X4!1)),
% 19.49/19.68 inference(symmetry,[status(thm)],[768])).
% 19.49/19.68 tff(770,plain,
% 19.49/19.68 (product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)) = product(product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1)))),
% 19.49/19.68 inference(transitivity,[status(thm)],[757, 756, 769, 766, 764, 762])).
% 19.49/19.68 tff(771,plain,
% 19.49/19.68 (product(product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))) = product(product(product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1))), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))),
% 19.49/19.68 inference(monotonicity,[status(thm)],[770])).
% 19.49/19.68 tff(772,plain,
% 19.49/19.68 (product(product(product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1))), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))) = product(product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))),
% 19.49/19.68 inference(symmetry,[status(thm)],[771])).
% 19.49/19.68 tff(773,plain,
% 19.49/19.68 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1))), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))) = product(product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))))),
% 19.49/19.68 inference(quant_inst,[status(thm)],[])).
% 19.49/19.68 tff(774,plain,
% 19.49/19.68 (product(product(product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1))), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))) = product(product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))),
% 19.49/19.68 inference(unit_resolution,[status(thm)],[773, 7])).
% 19.49/19.68 tff(775,plain,
% 19.49/19.68 (product(product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))) = product(product(product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)), product(X5!0, product(product(X4!1, X5!0), X4!1))), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))),
% 19.49/19.68 inference(symmetry,[status(thm)],[774])).
% 19.49/19.68 tff(776,plain,
% 19.49/19.68 (product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))) = product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))),
% 19.49/19.68 inference(transitivity,[status(thm)],[260, 259])).
% 19.49/19.68 tff(777,plain,
% 19.49/19.68 (product(product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))) = product(product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)), product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))))),
% 19.49/19.68 inference(monotonicity,[status(thm)],[776])).
% 19.49/19.68 tff(778,plain,
% 19.49/19.68 (product(product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)), product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))) = product(product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))),
% 19.49/19.68 inference(symmetry,[status(thm)],[777])).
% 19.49/19.68 tff(779,plain,
% 19.49/19.68 (product(product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)), product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1)),
% 19.49/19.68 inference(transitivity,[status(thm)],[778, 775, 772, 759, 757, 756])).
% 19.49/19.68 tff(780,plain,
% 19.49/19.68 (product(product(product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)), product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))), X5!0) = product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1), X5!0)),
% 19.49/19.68 inference(monotonicity,[status(thm)],[779])).
% 19.49/19.68 tff(781,plain,
% 19.49/19.68 (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1), product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))) = product(product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)), product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))))),
% 19.49/19.68 inference(monotonicity,[status(thm)],[347])).
% 19.49/19.68 tff(782,plain,
% 19.49/19.68 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1), product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X4!1, product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))))))),
% 19.49/19.68 inference(quant_inst,[status(thm)],[])).
% 19.49/19.68 tff(783,plain,
% 19.49/19.68 (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1), product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X4!1, product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))))),
% 19.49/19.68 inference(unit_resolution,[status(thm)],[782, 7])).
% 19.49/19.68 tff(784,plain,
% 19.49/19.68 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X4!1, product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))))) = product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X4!1), product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))))),
% 19.49/19.68 inference(symmetry,[status(thm)],[783])).
% 19.49/19.68 tff(785,plain,
% 19.49/19.68 (product(product(X5!0, X4!1), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))),
% 19.49/19.68 inference(symmetry,[status(thm)],[260])).
% 19.49/19.68 tff(786,plain,
% 19.49/19.68 (product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))) = product(product(X5!0, X4!1), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))),
% 19.49/19.68 inference(symmetry,[status(thm)],[259])).
% 19.49/19.68 tff(787,plain,
% 19.49/19.68 (product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))) = product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))),
% 19.49/19.68 inference(transitivity,[status(thm)],[786, 785])).
% 19.49/19.68 tff(788,plain,
% 19.49/19.68 (product(X4!1, product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))) = product(X4!1, product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))),
% 19.49/19.68 inference(monotonicity,[status(thm)],[787])).
% 19.49/19.68 tff(789,plain,
% 19.49/19.68 (product(X4!1, product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))) = product(X4!1, product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))))),
% 19.49/19.68 inference(symmetry,[status(thm)],[788])).
% 19.49/19.68 tff(790,plain,
% 19.49/19.68 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X4!1, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))) = product(X4!1, product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))))),
% 19.49/19.68 inference(quant_inst,[status(thm)],[])).
% 19.49/19.68 tff(791,plain,
% 19.49/19.68 (product(product(X4!1, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))) = product(X4!1, product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))),
% 19.49/19.68 inference(unit_resolution,[status(thm)],[790, 7])).
% 19.49/19.68 tff(792,plain,
% 19.49/19.68 (product(X4!1, product(X5!0, product(product(X4!1, X5!0), X4!1))) = product(X4!1, product(X5!0, X4!1))),
% 19.49/19.68 inference(monotonicity,[status(thm)],[245])).
% 19.49/19.68 tff(793,plain,
% 19.49/19.68 (product(X4!1, product(X5!0, product(product(X4!1, X5!0), X4!1))) = X4!1),
% 19.49/19.68 inference(transitivity,[status(thm)],[792, 48])).
% 19.49/19.68 tff(794,plain,
% 19.49/19.68 (product(product(X4!1, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))) = product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))),
% 19.49/19.68 inference(monotonicity,[status(thm)],[793])).
% 19.49/19.68 tff(795,plain,
% 19.49/19.68 (product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))) = product(product(X4!1, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))),
% 19.49/19.68 inference(symmetry,[status(thm)],[794])).
% 19.49/19.68 tff(796,plain,
% 19.49/19.68 (product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))) = product(X4!1, product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))))),
% 19.49/19.68 inference(transitivity,[status(thm)],[795, 791, 789])).
% 19.49/19.68 tff(797,plain,
% 19.49/19.68 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X4!1, product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))))),
% 19.49/19.68 inference(monotonicity,[status(thm)],[796])).
% 19.49/19.68 tff(798,plain,
% 19.49/19.68 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))) = product(product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)), product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))))),
% 19.49/19.68 inference(transitivity,[status(thm)],[797, 784, 781])).
% 19.49/19.68 tff(799,plain,
% 19.49/19.68 (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))), X5!0) = product(product(product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)), product(X5!0, product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))))), X5!0)),
% 19.49/19.68 inference(monotonicity,[status(thm)],[798])).
% 19.49/19.68 tff(800,plain,
% 19.49/19.68 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))), X5!0) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), X5!0)))),
% 19.49/19.68 inference(quant_inst,[status(thm)],[])).
% 19.49/19.68 tff(801,plain,
% 19.49/19.68 (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))), X5!0) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), X5!0))),
% 19.49/19.68 inference(unit_resolution,[status(thm)],[800, 7])).
% 19.49/19.68 tff(802,plain,
% 19.49/19.68 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), X5!0)) = product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1)))), X5!0)),
% 19.49/19.68 inference(symmetry,[status(thm)],[801])).
% 19.49/19.68 tff(803,plain,
% 19.49/19.68 (product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), X5!0) = product(product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), X4!1), X5!0)),
% 19.49/19.68 inference(monotonicity,[status(thm)],[350])).
% 19.49/19.68 tff(804,plain,
% 19.49/19.68 (product(product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), X4!1), X5!0) = product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), X5!0)),
% 19.49/19.68 inference(symmetry,[status(thm)],[803])).
% 19.49/19.68 tff(805,plain,
% 19.49/19.68 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), X4!1), X5!0) = product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X4!1, X5!0)))),
% 19.49/19.68 inference(quant_inst,[status(thm)],[])).
% 19.49/19.68 tff(806,plain,
% 19.49/19.68 (product(product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), X4!1), X5!0) = product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X4!1, X5!0))),
% 19.49/19.68 inference(unit_resolution,[status(thm)],[805, 7])).
% 19.49/19.68 tff(807,plain,
% 19.49/19.68 (product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X4!1, X5!0)) = product(product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), X4!1), X5!0)),
% 19.49/19.68 inference(symmetry,[status(thm)],[806])).
% 19.49/19.68 tff(808,plain,
% 19.49/19.68 (product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X4!1, X5!0)) = product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X4!1, product(product(X5!0, X4!1), X5!0)))),
% 19.49/19.68 inference(monotonicity,[status(thm)],[73])).
% 19.49/19.68 tff(809,plain,
% 19.49/19.68 (product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X4!1, product(product(X5!0, X4!1), X5!0))) = product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X4!1, X5!0))),
% 19.49/19.68 inference(symmetry,[status(thm)],[808])).
% 19.49/19.68 tff(810,plain,
% 19.49/19.68 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X4!1, product(product(X5!0, X4!1), X5!0))) = product(X4!1, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0)))))),
% 19.49/19.68 inference(quant_inst,[status(thm)],[])).
% 19.49/19.68 tff(811,plain,
% 19.49/19.68 (product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X4!1, product(product(X5!0, X4!1), X5!0))) = product(X4!1, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))))),
% 19.49/19.68 inference(unit_resolution,[status(thm)],[810, 7])).
% 19.49/19.68 tff(812,plain,
% 19.49/19.68 (product(X4!1, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0)))) = product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X4!1, product(product(X5!0, X4!1), X5!0)))),
% 19.49/19.68 inference(symmetry,[status(thm)],[811])).
% 19.49/19.68 tff(813,plain,
% 19.49/19.68 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))) = product(X3!2, product(product(X2!3, X3!2), X5!0))),
% 19.49/19.69 inference(transitivity,[status(thm)],[417, 416, 414, 181, 184])).
% 19.49/19.69 tff(814,plain,
% 19.49/19.69 (product(X4!1, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0)))) = product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))),
% 19.49/19.69 inference(monotonicity,[status(thm)],[813])).
% 19.49/19.69 tff(815,plain,
% 19.49/19.69 (product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))) = product(X4!1, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))))),
% 19.49/19.69 inference(symmetry,[status(thm)],[814])).
% 19.49/19.69 tff(816,plain,
% 19.49/19.69 (product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))) = product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), X5!0)),
% 19.49/19.69 inference(transitivity,[status(thm)],[815, 812, 809, 807, 804])).
% 19.49/19.69 tff(817,plain,
% 19.49/19.69 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), X5!0))),
% 19.49/19.69 inference(monotonicity,[status(thm)],[816])).
% 19.49/19.69 tff(818,plain,
% 19.49/19.69 (product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X4!1), product(X3!2, product(product(X2!3, X3!2), X5!0)))),
% 19.49/19.69 inference(monotonicity,[status(thm)],[380])).
% 19.49/19.69 tff(819,plain,
% 19.49/19.69 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X4!1), product(X3!2, product(product(X2!3, X3!2), X5!0))) = product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))),
% 19.49/19.69 inference(symmetry,[status(thm)],[818])).
% 19.49/19.69 tff(820,plain,
% 19.49/19.69 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))) = product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))),
% 19.49/19.69 inference(transitivity,[status(thm)],[364, 819])).
% 19.49/19.69 tff(821,plain,
% 19.49/19.69 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))),
% 19.49/19.69 inference(monotonicity,[status(thm)],[820])).
% 19.49/19.69 tff(822,plain,
% 19.49/19.69 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))) = product(X3!2, product(product(X2!3, X3!2), X5!0))),
% 19.49/19.69 inference(transitivity,[status(thm)],[821, 817, 802, 799, 780, 755, 753, 416, 414, 181, 184])).
% 19.49/19.69 tff(823,plain,
% 19.49/19.69 (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.49/19.69 inference(monotonicity,[status(thm)],[822])).
% 19.49/19.69 tff(824,plain,
% 19.49/19.69 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))))),
% 19.49/19.69 inference(quant_inst,[status(thm)],[])).
% 19.49/19.69 tff(825,plain,
% 19.49/19.69 (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))),
% 19.49/19.69 inference(unit_resolution,[status(thm)],[824, 7])).
% 19.49/19.69 tff(826,plain,
% 19.49/19.69 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))) = product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.49/19.69 inference(symmetry,[status(thm)],[825])).
% 19.49/19.69 tff(827,plain,
% 19.49/19.69 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))),
% 19.49/19.69 inference(monotonicity,[status(thm)],[820])).
% 19.49/19.69 tff(828,plain,
% 19.49/19.69 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))))),
% 19.49/19.69 inference(symmetry,[status(thm)],[827])).
% 19.49/19.69 tff(829,plain,
% 19.49/19.69 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.49/19.69 inference(monotonicity,[status(thm)],[828])).
% 19.49/19.69 tff(830,plain,
% 19.49/19.69 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.49/19.69 inference(symmetry,[status(thm)],[829])).
% 19.49/19.69 tff(831,plain,
% 19.49/19.69 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))))),
% 19.49/19.69 inference(quant_inst,[status(thm)],[])).
% 19.49/19.69 tff(832,plain,
% 19.49/19.69 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))),
% 19.49/19.69 inference(unit_resolution,[status(thm)],[831, 7])).
% 19.49/19.69 tff(833,plain,
% 19.49/19.69 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.49/19.69 inference(symmetry,[status(thm)],[832])).
% 19.49/19.69 tff(834,plain,
% 19.49/19.69 ((~![A: $i] : (product(A, A) = A)) | (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))))),
% 19.49/19.69 inference(quant_inst,[status(thm)],[])).
% 19.49/19.69 tff(835,plain,
% 19.49/19.69 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))),
% 19.49/19.69 inference(unit_resolution,[status(thm)],[834, 131])).
% 19.49/19.69 tff(836,plain,
% 19.49/19.69 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.49/19.69 inference(transitivity,[status(thm)],[835, 833, 830])).
% 19.49/19.69 tff(837,plain,
% 19.49/19.69 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))),
% 19.49/19.69 inference(monotonicity,[status(thm)],[836])).
% 19.49/19.69 tff(838,plain,
% 19.49/19.69 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))))))),
% 19.49/19.69 inference(quant_inst,[status(thm)],[])).
% 19.49/19.69 tff(839,plain,
% 19.49/19.69 (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))))),
% 19.49/19.69 inference(unit_resolution,[status(thm)],[838, 7])).
% 19.49/19.69 tff(840,plain,
% 19.49/19.69 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0) = product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))),
% 19.49/19.69 inference(transitivity,[status(thm)],[735, 9])).
% 19.49/19.69 tff(841,plain,
% 19.49/19.69 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0)) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.49/19.69 inference(monotonicity,[status(thm)],[840])).
% 19.49/19.69 tff(842,plain,
% 19.49/19.69 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1))), X5!0) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0)))),
% 19.49/19.69 inference(quant_inst,[status(thm)],[])).
% 19.49/19.69 tff(843,plain,
% 19.49/19.69 (product(product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1))), X5!0) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0))),
% 19.49/19.69 inference(unit_resolution,[status(thm)],[842, 7])).
% 19.49/19.69 tff(844,plain,
% 19.49/19.69 (product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))),
% 19.49/19.69 inference(transitivity,[status(thm)],[818, 363])).
% 19.49/19.69 tff(845,plain,
% 19.49/19.69 (product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.49/19.69 inference(monotonicity,[status(thm)],[844])).
% 19.49/19.69 tff(846,plain,
% 19.49/19.69 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(X4!1, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))))),
% 19.49/19.69 inference(quant_inst,[status(thm)],[])).
% 19.49/19.69 tff(847,plain,
% 19.49/19.69 (product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(X4!1, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.49/19.69 inference(unit_resolution,[status(thm)],[846, 7])).
% 19.49/19.69 tff(848,plain,
% 19.49/19.69 (product(X4!1, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.49/19.69 inference(symmetry,[status(thm)],[847])).
% 19.49/19.69 tff(849,plain,
% 19.49/19.69 (product(product(X3!2, X5!0), product(X2!3, X4!1)) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.49/19.69 inference(symmetry,[status(thm)],[747])).
% 19.49/19.69 tff(850,plain,
% 19.49/19.69 (product(X4!1, product(product(X3!2, X5!0), product(X2!3, X4!1))) = product(X4!1, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.49/19.69 inference(monotonicity,[status(thm)],[849])).
% 19.49/19.69 tff(851,plain,
% 19.49/19.69 (product(X4!1, product(product(X3!2, X5!0), product(X2!3, X4!1))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.49/19.69 inference(transitivity,[status(thm)],[850, 848, 845])).
% 19.49/19.70 tff(852,plain,
% 19.49/19.70 (product(product(X4!1, product(product(X3!2, X5!0), product(X2!3, X4!1))), X5!0) = product(product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1))), X5!0)),
% 19.49/19.70 inference(monotonicity,[status(thm)],[851])).
% 19.49/19.70 tff(853,plain,
% 19.49/19.70 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X4!1, product(product(X3!2, X5!0), product(X2!3, X4!1))), X5!0) = product(X4!1, product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0)))),
% 19.49/19.70 inference(quant_inst,[status(thm)],[])).
% 19.49/19.70 tff(854,plain,
% 19.49/19.70 (product(product(X4!1, product(product(X3!2, X5!0), product(X2!3, X4!1))), X5!0) = product(X4!1, product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0))),
% 19.49/19.70 inference(unit_resolution,[status(thm)],[853, 7])).
% 19.49/19.70 tff(855,plain,
% 19.49/19.70 (product(X4!1, product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0)) = product(product(X4!1, product(product(X3!2, X5!0), product(X2!3, X4!1))), X5!0)),
% 19.49/19.70 inference(symmetry,[status(thm)],[854])).
% 19.49/19.70 tff(856,plain,
% 19.49/19.70 (product(X4!1, product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0)) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))),
% 19.49/19.70 inference(transitivity,[status(thm)],[855, 852, 843, 841, 829, 832])).
% 19.49/19.70 tff(857,plain,
% 19.49/19.70 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.49/19.70 inference(transitivity,[status(thm)],[833, 830])).
% 19.49/19.70 tff(858,plain,
% 19.49/19.70 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))),
% 19.49/19.70 inference(monotonicity,[status(thm)],[857])).
% 19.49/19.70 tff(859,plain,
% 19.49/19.70 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))))),
% 19.49/19.70 inference(symmetry,[status(thm)],[858])).
% 19.49/19.70 tff(860,plain,
% 19.49/19.70 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.49/19.70 inference(symmetry,[status(thm)],[823])).
% 19.49/19.70 tff(861,plain,
% 19.49/19.70 (product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))))),
% 19.49/19.70 inference(transitivity,[status(thm)],[749, 746, 744, 860, 825, 859])).
% 19.49/19.70 tff(862,plain,
% 19.49/19.70 (product(product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0), product(X4!1, product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0))) = product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))))),
% 19.49/19.70 inference(monotonicity,[status(thm)],[861, 856])).
% 19.49/19.70 tff(863,plain,
% 19.49/19.70 (product(product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0), product(X4!1, product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0))) = product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0)),
% 19.49/19.70 inference(transitivity,[status(thm)],[862, 839, 837, 826, 823, 743, 752, 748])).
% 19.49/19.70 tff(864,assumption,(~(product(product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0), product(X4!1, product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0))) = product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0))), introduced(assumption)).
% 19.49/19.70 tff(865,plain,
% 19.49/19.70 ($false),
% 19.49/19.70 inference(unit_resolution,[status(thm)],[864, 863])).
% 19.49/19.70 tff(866,plain,(product(product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0), product(X4!1, product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0))) = product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0)), inference(lemma,lemma(discharge,[]))).
% 19.49/19.70 tff(867,plain,
% 19.49/19.70 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0)),
% 19.49/19.70 inference(transitivity,[status(thm)],[743, 752, 748])).
% 19.49/19.70 tff(868,plain,
% 19.49/19.70 (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))), product(X4!1, product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0))) = product(product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0), product(X4!1, product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0)))),
% 19.49/19.70 inference(monotonicity,[status(thm)],[867])).
% 19.49/19.70 tff(869,plain,
% 19.49/19.70 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))), product(X4!1, product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(X4!1, product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0)))))),
% 19.49/19.70 inference(quant_inst,[status(thm)],[])).
% 19.49/19.70 tff(870,plain,
% 19.49/19.70 (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))), product(X4!1, product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(X4!1, product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0))))),
% 19.49/19.70 inference(unit_resolution,[status(thm)],[869, 7])).
% 19.49/19.70 tff(871,plain,
% 19.49/19.70 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(X4!1, product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0)))) = product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))), product(X4!1, product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0)))),
% 19.49/19.70 inference(symmetry,[status(thm)],[870])).
% 19.49/19.70 tff(872,plain,
% 19.49/19.70 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.49/19.70 inference(monotonicity,[status(thm)],[820])).
% 19.49/19.70 tff(873,plain,
% 19.49/19.70 (product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.49/19.70 inference(symmetry,[status(thm)],[872])).
% 19.49/19.70 tff(874,plain,
% 19.49/19.70 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(X4!1, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))))),
% 19.49/19.70 inference(quant_inst,[status(thm)],[])).
% 19.49/19.70 tff(875,plain,
% 19.49/19.70 (product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(X4!1, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))),
% 19.49/19.70 inference(unit_resolution,[status(thm)],[874, 7])).
% 19.49/19.70 tff(876,plain,
% 19.49/19.70 (product(X4!1, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))) = product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.49/19.70 inference(symmetry,[status(thm)],[875])).
% 19.49/19.70 tff(877,plain,
% 19.49/19.70 (product(X4!1, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))) = product(X4!1, product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0))),
% 19.49/19.70 inference(monotonicity,[status(thm)],[867])).
% 19.49/19.70 tff(878,plain,
% 19.49/19.70 (product(X4!1, product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0)) = product(X4!1, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))),
% 19.49/19.70 inference(symmetry,[status(thm)],[877])).
% 19.49/19.70 tff(879,plain,
% 19.49/19.70 (product(X4!1, product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0)) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.49/19.70 inference(transitivity,[status(thm)],[878, 876, 873])).
% 19.49/19.70 tff(880,plain,
% 19.49/19.70 (product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(X4!1, product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0))) = product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))),
% 19.49/19.70 inference(monotonicity,[status(thm)],[879])).
% 19.49/19.70 tff(881,plain,
% 19.49/19.70 (product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))) = product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(X4!1, product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0)))),
% 19.49/19.70 inference(symmetry,[status(thm)],[880])).
% 19.49/19.70 tff(882,plain,
% 19.49/19.70 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))))),
% 19.49/19.70 inference(quant_inst,[status(thm)],[])).
% 19.49/19.70 tff(883,plain,
% 19.49/19.70 (product(product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))),
% 19.49/19.70 inference(unit_resolution,[status(thm)],[882, 7])).
% 19.49/19.70 tff(884,plain,
% 19.49/19.70 (product(product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), X4!1), product(X3!2, product(product(X2!3, X3!2), X5!0))) = product(product(X2!3, X4!1), product(X3!2, X5!0))),
% 19.49/19.70 inference(monotonicity,[status(thm)],[739, 186])).
% 19.49/19.70 tff(885,plain,
% 19.49/19.70 (product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))) = product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))),
% 19.49/19.70 inference(monotonicity,[status(thm)],[820])).
% 19.49/19.70 tff(886,plain,
% 19.49/19.70 (product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))) = product(product(X2!3, X4!1), product(X3!2, X5!0))),
% 19.49/19.70 inference(transitivity,[status(thm)],[885, 525, 884])).
% 19.49/19.70 tff(887,plain,
% 19.49/19.70 (product(product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.49/19.70 inference(monotonicity,[status(thm)],[886])).
% 19.49/19.70 tff(888,plain,
% 19.49/19.70 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.49/19.70 inference(symmetry,[status(thm)],[887])).
% 19.49/19.70 tff(889,plain,
% 19.49/19.70 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(X4!1, product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0)))),
% 19.49/19.70 inference(transitivity,[status(thm)],[888, 883, 881])).
% 19.49/19.70 tff(890,plain,
% 19.49/19.70 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(X4!1, product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0))))),
% 19.49/19.70 inference(monotonicity,[status(thm)],[889])).
% 19.49/19.70 tff(891,plain,
% 19.49/19.70 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))) = product(product(X2!3, X4!1), product(X3!2, X5!0))),
% 19.49/19.70 inference(monotonicity,[status(thm)],[727, 186])).
% 19.49/19.70 tff(892,plain,
% 19.49/19.70 (product(product(X2!3, X4!1), product(X3!2, X5!0)) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0)))),
% 19.49/19.70 inference(symmetry,[status(thm)],[891])).
% 19.49/19.70 tff(893,plain,
% 19.49/19.70 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.49/19.70 inference(monotonicity,[status(thm)],[892])).
% 19.49/19.70 tff(894,plain,
% 19.49/19.70 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.49/19.70 inference(symmetry,[status(thm)],[893])).
% 19.49/19.70 tff(895,plain,
% 19.49/19.70 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))))),
% 19.49/19.70 inference(quant_inst,[status(thm)],[])).
% 19.49/19.70 tff(896,plain,
% 19.49/19.70 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))),
% 19.49/19.71 inference(unit_resolution,[status(thm)],[895, 7])).
% 19.49/19.71 tff(897,plain,
% 19.49/19.71 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.49/19.71 inference(symmetry,[status(thm)],[896])).
% 19.49/19.71 tff(898,plain,
% 19.49/19.71 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.49/19.71 inference(transitivity,[status(thm)],[897, 894])).
% 19.49/19.71 tff(899,plain,
% 19.49/19.71 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))),
% 19.49/19.71 inference(monotonicity,[status(thm)],[898])).
% 19.49/19.71 tff(900,plain,
% 19.49/19.71 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))) = product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0)),
% 19.49/19.71 inference(transitivity,[status(thm)],[899, 890, 871, 868, 866])).
% 19.49/19.71 tff(901,plain,
% 19.49/19.71 (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))), X4!1) = product(product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0), X4!1)),
% 19.49/19.71 inference(monotonicity,[status(thm)],[900])).
% 19.49/19.71 tff(902,plain,
% 19.49/19.71 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))), X4!1) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))), X4!1)))),
% 19.49/19.71 inference(quant_inst,[status(thm)],[])).
% 19.49/19.71 tff(903,plain,
% 19.49/19.71 (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))), X4!1) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))), X4!1))),
% 19.49/19.71 inference(unit_resolution,[status(thm)],[902, 7])).
% 19.49/19.71 tff(904,plain,
% 19.49/19.71 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))), X4!1)) = product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))), X4!1)),
% 19.49/19.71 inference(symmetry,[status(thm)],[903])).
% 19.49/19.71 tff(905,plain,
% 19.49/19.71 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))), X4!1) = product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))), X4!1)),
% 19.49/19.71 inference(monotonicity,[status(thm)],[898])).
% 19.49/19.71 tff(906,plain,
% 19.49/19.71 (product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))), X4!1) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))), X4!1)),
% 19.49/19.71 inference(symmetry,[status(thm)],[905])).
% 19.49/19.71 tff(907,plain,
% 19.49/19.71 (product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), X4!1) = product(X2!3, product(product(X3!2, X2!3), X4!1))),
% 19.49/19.71 inference(transitivity,[status(thm)],[738, 519, 733, 249, 732, 631, 11])).
% 19.49/19.71 tff(908,plain,
% 19.49/19.71 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), X4!1)) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.49/19.71 inference(monotonicity,[status(thm)],[907])).
% 19.49/19.71 tff(909,plain,
% 19.49/19.71 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), X4!1))),
% 19.49/19.71 inference(symmetry,[status(thm)],[908])).
% 19.49/19.71 tff(910,plain,
% 19.49/19.71 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))), X4!1)),
% 19.49/19.71 inference(transitivity,[status(thm)],[909, 558, 906])).
% 19.49/19.71 tff(911,plain,
% 19.49/19.71 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))), X4!1))),
% 19.49/19.71 inference(monotonicity,[status(thm)],[910])).
% 19.49/19.71 tff(912,plain,
% 19.49/19.71 (product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))) = product(X2!3, product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))),
% 19.49/19.71 inference(monotonicity,[status(thm)],[820])).
% 19.49/19.71 tff(913,plain,
% 19.49/19.71 (product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))) = product(product(X2!3, X4!1), product(X3!2, X5!0))),
% 19.49/19.71 inference(transitivity,[status(thm)],[912, 360, 357])).
% 19.49/19.71 tff(914,plain,
% 19.49/19.71 (product(product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.49/19.71 inference(monotonicity,[status(thm)],[913])).
% 19.49/19.71 tff(915,plain,
% 19.49/19.71 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(X2!3, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))))),
% 19.49/19.71 inference(quant_inst,[status(thm)],[])).
% 19.49/19.71 tff(916,plain,
% 19.49/19.71 (product(product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(X2!3, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.49/19.71 inference(unit_resolution,[status(thm)],[915, 7])).
% 19.49/19.71 tff(917,plain,
% 19.49/19.71 (product(X2!3, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.49/19.71 inference(symmetry,[status(thm)],[916])).
% 19.49/19.71 tff(918,plain,
% 19.49/19.71 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.49/19.71 inference(monotonicity,[status(thm)],[828])).
% 19.49/19.71 tff(919,plain,
% 19.49/19.71 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.49/19.71 inference(symmetry,[status(thm)],[918])).
% 19.49/19.71 tff(920,plain,
% 19.49/19.71 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))))),
% 19.49/19.71 inference(quant_inst,[status(thm)],[])).
% 19.49/19.71 tff(921,plain,
% 19.49/19.71 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.49/19.71 inference(unit_resolution,[status(thm)],[920, 7])).
% 19.49/19.71 tff(922,plain,
% 19.49/19.71 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.49/19.71 inference(symmetry,[status(thm)],[921])).
% 19.49/19.71 tff(923,plain,
% 19.49/19.71 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.49/19.71 inference(transitivity,[status(thm)],[922, 919])).
% 19.49/19.71 tff(924,plain,
% 19.49/19.71 (product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1))))) = product(X2!3, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.49/19.71 inference(monotonicity,[status(thm)],[923])).
% 19.49/19.71 tff(925,plain,
% 19.49/19.71 (product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1))))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.49/19.71 inference(transitivity,[status(thm)],[924, 917, 914])).
% 19.49/19.71 tff(926,plain,
% 19.49/19.71 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.49/19.71 inference(monotonicity,[status(thm)],[925])).
% 19.49/19.71 tff(927,plain,
% 19.49/19.71 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X2!3), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1))))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))))))),
% 19.49/19.71 inference(quant_inst,[status(thm)],[])).
% 19.49/19.71 tff(928,plain,
% 19.49/19.71 (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X2!3), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1))))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1))))))),
% 19.49/19.71 inference(unit_resolution,[status(thm)],[927, 7])).
% 19.49/19.71 tff(929,plain,
% 19.49/19.71 (product(product(X3!2, product(X2!3, product(X3!2, X5!0))), X2!3) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X2!3)),
% 19.49/19.71 inference(monotonicity,[status(thm)],[575])).
% 19.49/19.71 tff(930,plain,
% 19.49/19.71 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X3!2, product(X2!3, product(X3!2, X5!0))), X2!3) = product(X3!2, product(product(X2!3, product(X3!2, X5!0)), X2!3)))),
% 19.49/19.71 inference(quant_inst,[status(thm)],[])).
% 19.49/19.71 tff(931,plain,
% 19.49/19.71 (product(product(X3!2, product(X2!3, product(X3!2, X5!0))), X2!3) = product(X3!2, product(product(X2!3, product(X3!2, X5!0)), X2!3))),
% 19.49/19.71 inference(unit_resolution,[status(thm)],[930, 7])).
% 19.49/19.71 tff(932,plain,
% 19.49/19.71 (product(X3!2, product(product(X2!3, product(X3!2, X5!0)), X2!3)) = product(product(X3!2, product(X2!3, product(X3!2, X5!0))), X2!3)),
% 19.49/19.71 inference(symmetry,[status(thm)],[931])).
% 19.49/19.71 tff(933,plain,
% 19.49/19.71 (product(X3!2, product(product(X2!3, product(X3!2, X5!0)), X2!3)) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X2!3)),
% 19.49/19.71 inference(transitivity,[status(thm)],[932, 929])).
% 19.49/19.71 tff(934,plain,
% 19.49/19.71 (product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), X2!3)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1))))) = product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X2!3), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))))),
% 19.49/19.71 inference(monotonicity,[status(thm)],[933])).
% 19.49/19.71 tff(935,plain,
% 19.49/19.71 (product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), X2!3)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1))))) = product(product(X3!2, X5!0), product(X2!3, X4!1))),
% 19.49/19.71 inference(transitivity,[status(thm)],[934, 928, 926, 911, 904, 901, 751, 742, 740])).
% 19.49/19.71 tff(936,plain,
% 19.49/19.71 (product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), X2!3)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1))))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(product(X3!2, X5!0), product(X2!3, X4!1)), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.71 inference(monotonicity,[status(thm)],[935])).
% 19.49/19.71 tff(937,plain,
% 19.49/19.71 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), X2!3)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1))))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), X2!3)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))))),
% 19.49/19.72 inference(quant_inst,[status(thm)],[])).
% 19.49/19.72 tff(938,plain,
% 19.49/19.72 (product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), X2!3)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1))))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), X2!3)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))))),
% 19.49/19.72 inference(unit_resolution,[status(thm)],[937, 7])).
% 19.49/19.72 tff(939,plain,
% 19.49/19.72 (product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), X2!3)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))) = product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), X2!3)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1))))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.72 inference(symmetry,[status(thm)],[938])).
% 19.49/19.72 tff(940,plain,
% 19.49/19.72 (product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), X5!0) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))),
% 19.49/19.72 inference(transitivity,[status(thm)],[803, 806, 808, 811, 814, 818, 363])).
% 19.49/19.72 tff(941,plain,
% 19.49/19.72 (product(product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), X5!0), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.49/19.72 inference(monotonicity,[status(thm)],[940])).
% 19.49/19.72 tff(942,plain,
% 19.49/19.72 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), X5!0), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))))),
% 19.49/19.72 inference(quant_inst,[status(thm)],[])).
% 19.49/19.72 tff(943,plain,
% 19.49/19.72 (product(product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), X5!0), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.49/19.72 inference(unit_resolution,[status(thm)],[942, 7])).
% 19.49/19.72 tff(944,plain,
% 19.49/19.72 (product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), X5!0), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.49/19.72 inference(symmetry,[status(thm)],[943])).
% 19.49/19.72 tff(945,plain,
% 19.49/19.72 (product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))) = product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.49/19.72 inference(monotonicity,[status(thm)],[696])).
% 19.49/19.72 tff(946,plain,
% 19.49/19.72 (product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.49/19.72 inference(transitivity,[status(thm)],[945, 944, 941, 918, 921])).
% 19.49/19.72 tff(947,plain,
% 19.49/19.72 (product(product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.72 inference(monotonicity,[status(thm)],[946])).
% 19.49/19.72 tff(948,plain,
% 19.49/19.72 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))))),
% 19.49/19.72 inference(quant_inst,[status(thm)],[])).
% 19.49/19.72 tff(949,plain,
% 19.49/19.72 (product(product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))))),
% 19.49/19.72 inference(unit_resolution,[status(thm)],[948, 7])).
% 19.49/19.72 tff(950,plain,
% 19.49/19.72 (product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))) = product(product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.72 inference(symmetry,[status(thm)],[949])).
% 19.49/19.72 tff(951,plain,
% 19.49/19.72 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.72 inference(symmetry,[status(thm)],[717])).
% 19.49/19.72 tff(952,plain,
% 19.49/19.72 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.72 inference(symmetry,[status(thm)],[711])).
% 19.49/19.72 tff(953,plain,
% 19.49/19.72 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.72 inference(transitivity,[status(thm)],[952, 713, 951])).
% 19.49/19.72 tff(954,plain,
% 19.49/19.72 (product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))))),
% 19.49/19.72 inference(monotonicity,[status(thm)],[953])).
% 19.49/19.72 tff(955,plain,
% 19.49/19.72 (product(X5!0, product(X2!3, X3!2)) = product(product(X5!0, X2!3), X3!2)),
% 19.49/19.72 inference(symmetry,[status(thm)],[589])).
% 19.49/19.72 tff(956,plain,
% 19.49/19.72 (product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.49/19.72 inference(transitivity,[status(thm)],[586, 955, 672, 676, 679, 683])).
% 19.49/19.72 tff(957,plain,
% 19.49/19.72 (product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.72 inference(monotonicity,[status(thm)],[956])).
% 19.49/19.72 tff(958,plain,
% 19.49/19.72 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), X5!0), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.72 inference(quant_inst,[status(thm)],[])).
% 19.49/19.72 tff(959,plain,
% 19.49/19.72 (product(product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), X5!0), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.49/19.72 inference(unit_resolution,[status(thm)],[958, 7])).
% 19.49/19.72 tff(960,plain,
% 19.49/19.72 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))) = product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), X5!0)),
% 19.49/19.72 inference(transitivity,[status(thm)],[364, 819, 815, 812, 809, 807, 804])).
% 19.49/19.72 tff(961,plain,
% 19.49/19.72 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), X5!0), product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.49/19.72 inference(monotonicity,[status(thm)],[960])).
% 19.49/19.72 tff(962,plain,
% 19.49/19.72 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.49/19.72 inference(monotonicity,[status(thm)],[827])).
% 19.49/19.72 tff(963,plain,
% 19.49/19.72 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.72 inference(quant_inst,[status(thm)],[])).
% 19.49/19.72 tff(964,plain,
% 19.49/19.72 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.49/19.72 inference(unit_resolution,[status(thm)],[963, 7])).
% 19.49/19.72 tff(965,plain,
% 19.49/19.72 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.49/19.72 inference(symmetry,[status(thm)],[964])).
% 19.49/19.72 tff(966,plain,
% 19.49/19.72 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.72 inference(transitivity,[status(thm)],[965, 962, 961, 959, 957, 954, 950, 947])).
% 19.49/19.72 tff(967,plain,
% 19.49/19.72 (product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), X2!3)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), X2!3)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))))),
% 19.49/19.72 inference(monotonicity,[status(thm)],[966])).
% 19.49/19.72 tff(968,plain,
% 19.49/19.72 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X2!3) = product(product(X3!2, product(X2!3, product(X3!2, X5!0))), X2!3)),
% 19.49/19.72 inference(symmetry,[status(thm)],[929])).
% 19.49/19.72 tff(969,plain,
% 19.49/19.72 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X2!3) = product(X3!2, product(product(X2!3, product(X3!2, X5!0)), X2!3))),
% 19.49/19.72 inference(transitivity,[status(thm)],[968, 931])).
% 19.49/19.72 tff(970,plain,
% 19.49/19.72 (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X2!3), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), X2!3)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.73 inference(monotonicity,[status(thm)],[969])).
% 19.49/19.73 tff(971,plain,
% 19.49/19.73 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X2!3), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2)))))))),
% 19.49/19.73 inference(quant_inst,[status(thm)],[])).
% 19.49/19.73 tff(972,plain,
% 19.49/19.73 (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X2!3), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2))))))),
% 19.49/19.73 inference(unit_resolution,[status(thm)],[971, 7])).
% 19.49/19.73 tff(973,plain,
% 19.49/19.73 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2)))))) = product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X2!3), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.73 inference(symmetry,[status(thm)],[972])).
% 19.49/19.73 tff(974,plain,
% 19.49/19.73 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.49/19.73 inference(transitivity,[status(thm)],[965, 962])).
% 19.49/19.73 tff(975,plain,
% 19.49/19.73 (product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(X2!3, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.49/19.73 inference(monotonicity,[status(thm)],[974])).
% 19.49/19.73 tff(976,plain,
% 19.49/19.73 (product(X2!3, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.73 inference(symmetry,[status(thm)],[975])).
% 19.49/19.73 tff(977,plain,
% 19.49/19.73 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(X2!3, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.73 inference(quant_inst,[status(thm)],[])).
% 19.49/19.73 tff(978,plain,
% 19.49/19.73 (product(product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(X2!3, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.49/19.73 inference(unit_resolution,[status(thm)],[977, 7])).
% 19.49/19.73 tff(979,plain,
% 19.49/19.73 (product(product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.49/19.73 inference(monotonicity,[status(thm)],[913])).
% 19.49/19.73 tff(980,plain,
% 19.49/19.73 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.49/19.73 inference(symmetry,[status(thm)],[979])).
% 19.49/19.73 tff(981,plain,
% 19.49/19.73 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.73 inference(transitivity,[status(thm)],[980, 978, 976])).
% 19.49/19.73 tff(982,plain,
% 19.49/19.73 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2))))))),
% 19.49/19.73 inference(monotonicity,[status(thm)],[981])).
% 19.49/19.73 tff(983,plain,
% 19.49/19.73 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.49/19.73 inference(monotonicity,[status(thm)],[892])).
% 19.49/19.73 tff(984,plain,
% 19.49/19.73 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.49/19.73 inference(symmetry,[status(thm)],[983])).
% 19.49/19.73 tff(985,plain,
% 19.49/19.73 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.49/19.73 inference(transitivity,[status(thm)],[214, 984])).
% 19.49/19.73 tff(986,plain,
% 19.49/19.73 (product(product(X3!2, product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.49/19.73 inference(monotonicity,[status(thm)],[575, 985])).
% 19.49/19.73 tff(987,plain,
% 19.49/19.73 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X3!2, product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))))),
% 19.49/19.73 inference(quant_inst,[status(thm)],[])).
% 19.49/19.73 tff(988,plain,
% 19.49/19.73 (product(product(X3!2, product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))))),
% 19.49/19.73 inference(unit_resolution,[status(thm)],[987, 7])).
% 19.49/19.73 tff(989,plain,
% 19.49/19.73 (product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))) = product(product(X3!2, product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.73 inference(symmetry,[status(thm)],[988])).
% 19.49/19.73 tff(990,plain,
% 19.49/19.73 (product(X2!3, product(X3!2, product(product(X2!3, X3!2), X5!0))) = product(X2!3, product(X3!2, X5!0))),
% 19.49/19.73 inference(monotonicity,[status(thm)],[186])).
% 19.49/19.73 tff(991,plain,
% 19.49/19.73 (product(X2!3, product(X3!2, X5!0)) = product(X2!3, product(X3!2, product(product(X2!3, X3!2), X5!0)))),
% 19.49/19.73 inference(symmetry,[status(thm)],[990])).
% 19.49/19.73 tff(992,plain,
% 19.49/19.73 (product(product(X2!3, product(X3!2, X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(X2!3, product(X3!2, product(product(X2!3, X3!2), X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.73 inference(monotonicity,[status(thm)],[991])).
% 19.49/19.73 tff(993,plain,
% 19.49/19.73 (product(product(X2!3, product(X3!2, product(product(X2!3, X3!2), X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(X2!3, product(X3!2, X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.73 inference(symmetry,[status(thm)],[992])).
% 19.49/19.73 tff(994,plain,
% 19.49/19.73 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X2!3, product(X3!2, product(product(X2!3, X3!2), X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))))),
% 19.49/19.73 inference(quant_inst,[status(thm)],[])).
% 19.49/19.73 tff(995,plain,
% 19.49/19.73 (product(product(X2!3, product(X3!2, product(product(X2!3, X3!2), X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))))),
% 19.49/19.73 inference(unit_resolution,[status(thm)],[994, 7])).
% 19.49/19.73 tff(996,plain,
% 19.49/19.73 (product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))) = product(product(X2!3, product(X3!2, product(product(X2!3, X3!2), X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.73 inference(symmetry,[status(thm)],[995])).
% 19.49/19.73 tff(997,plain,
% 19.49/19.73 ((~![A: $i] : (product(A, A) = A)) | (product(product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))), product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))))) = product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))))),
% 19.49/19.73 inference(quant_inst,[status(thm)],[])).
% 19.49/19.73 tff(998,plain,
% 19.49/19.73 (product(product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))), product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))))) = product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))))),
% 19.49/19.73 inference(unit_resolution,[status(thm)],[997, 131])).
% 19.49/19.73 tff(999,plain,
% 19.49/19.73 (product(product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))), product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))))) = product(product(X2!3, product(X3!2, X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.73 inference(transitivity,[status(thm)],[998, 996, 993])).
% 19.49/19.73 tff(1000,plain,
% 19.49/19.73 (product(X3!2, product(product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))), product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))))) = product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))))),
% 19.49/19.73 inference(monotonicity,[status(thm)],[999])).
% 19.49/19.73 tff(1001,plain,
% 19.49/19.73 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X3!2, product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))))), product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))))) = product(X3!2, product(product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))), product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))))))),
% 19.49/19.73 inference(quant_inst,[status(thm)],[])).
% 19.49/19.73 tff(1002,plain,
% 19.49/19.73 (product(product(X3!2, product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))))), product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))))) = product(X3!2, product(product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))), product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))))))),
% 19.49/19.73 inference(unit_resolution,[status(thm)],[1001, 7])).
% 19.49/19.73 tff(1003,plain,
% 19.49/19.73 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.49/19.73 inference(monotonicity,[status(thm)],[985])).
% 19.49/19.73 tff(1004,plain,
% 19.49/19.73 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.73 inference(symmetry,[status(thm)],[1003])).
% 19.49/19.73 tff(1005,plain,
% 19.49/19.73 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2)))))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.49/19.74 inference(symmetry,[status(thm)],[982])).
% 19.49/19.74 tff(1006,plain,
% 19.49/19.74 (product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), X2!3)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), X2!3), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.74 inference(symmetry,[status(thm)],[970])).
% 19.49/19.74 tff(1007,plain,
% 19.49/19.74 (product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), X2!3)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))) = product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), X2!3)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.74 inference(symmetry,[status(thm)],[967])).
% 19.49/19.74 tff(1008,plain,
% 19.49/19.74 (product(product(product(X3!2, X5!0), product(X2!3, X4!1)), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), X2!3)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1))))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.74 inference(symmetry,[status(thm)],[936])).
% 19.49/19.74 tff(1009,plain,
% 19.49/19.74 (product(product(X3!2, product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(product(X3!2, X5!0), product(X2!3, X4!1)), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.74 inference(symmetry,[status(thm)],[731])).
% 19.49/19.74 tff(1010,plain,
% 19.49/19.74 (product(X3!2, product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))) = product(product(X3!2, product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.74 inference(symmetry,[status(thm)],[721])).
% 19.49/19.74 tff(1011,plain,
% 19.49/19.74 (product(X3!2, product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(X3!2, product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))))),
% 19.49/19.74 inference(symmetry,[status(thm)],[719])).
% 19.49/19.74 tff(1012,plain,
% 19.49/19.74 (product(X3!2, product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(X3!2, product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.74 inference(symmetry,[status(thm)],[686])).
% 19.49/19.74 tff(1013,plain,
% 19.49/19.74 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(X3!2, X5!0), product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.49/19.74 inference(symmetry,[status(thm)],[582])).
% 19.49/19.74 tff(1014,plain,
% 19.49/19.74 (product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.74 inference(transitivity,[status(thm)],[581, 578, 1013, 584, 1012, 1011, 1010, 1009, 1008, 938, 1007, 1006, 972, 1005, 1004])).
% 19.49/19.74 tff(1015,plain,
% 19.49/19.74 (product(X2!3, product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))))),
% 19.49/19.74 inference(monotonicity,[status(thm)],[1014])).
% 19.49/19.74 tff(1016,plain,
% 19.49/19.74 (product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))) = product(product(X2!3, product(X3!2, X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.74 inference(transitivity,[status(thm)],[996, 993])).
% 19.49/19.74 tff(1017,plain,
% 19.49/19.74 (product(X3!2, product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))))) = product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))))),
% 19.49/19.74 inference(monotonicity,[status(thm)],[1016])).
% 19.49/19.74 tff(1018,plain,
% 19.49/19.74 (product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))) = product(X3!2, product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))))),
% 19.49/19.74 inference(symmetry,[status(thm)],[1017])).
% 19.49/19.74 tff(1019,plain,
% 19.49/19.74 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(product(X3!2, product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.74 inference(symmetry,[status(thm)],[986])).
% 19.49/19.74 tff(1020,plain,
% 19.49/19.74 (product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(X3!2, product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))))),
% 19.49/19.74 inference(transitivity,[status(thm)],[581, 578, 1013, 584, 1012, 1011, 1010, 1009, 1008, 938, 1007, 1006, 972, 1005, 1019, 988, 1018])).
% 19.49/19.74 tff(1021,plain,
% 19.49/19.74 (product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))) = product(product(X3!2, product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))))), product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))))),
% 19.49/19.74 inference(monotonicity,[status(thm)],[1020, 1015])).
% 19.49/19.74 tff(1022,plain,
% 19.49/19.74 (product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))) = product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.49/19.74 inference(transitivity,[status(thm)],[1021, 1002, 1000, 989, 986, 982, 973, 970, 967, 939, 936, 731, 721, 719, 686, 585, 582, 577, 580])).
% 19.49/19.74 tff(1023,assumption,(~(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))) = product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))), introduced(assumption)).
% 19.49/19.74 tff(1024,plain,
% 19.49/19.74 ($false),
% 19.49/19.74 inference(unit_resolution,[status(thm)],[1023, 1022])).
% 19.49/19.74 tff(1025,plain,(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))) = product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))), inference(lemma,lemma(discharge,[]))).
% 19.49/19.74 tff(1026,plain,
% 19.49/19.74 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.49/19.74 inference(transitivity,[status(thm)],[577, 580])).
% 19.49/19.74 tff(1027,plain,
% 19.49/19.74 (product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(X2!3, product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.74 inference(monotonicity,[status(thm)],[1026])).
% 19.49/19.74 tff(1028,plain,
% 19.49/19.74 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X2!3, product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.74 inference(quant_inst,[status(thm)],[])).
% 19.49/19.74 tff(1029,plain,
% 19.49/19.74 (product(product(X2!3, product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.49/19.74 inference(unit_resolution,[status(thm)],[1028, 7])).
% 19.49/19.74 tff(1030,plain,
% 19.49/19.74 (product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(X2!3, product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.49/19.74 inference(monotonicity,[status(thm)],[991])).
% 19.49/19.74 tff(1031,plain,
% 19.49/19.74 (product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(X2!3, product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.74 inference(transitivity,[status(thm)],[1030, 1029, 1027])).
% 19.49/19.74 tff(1032,plain,
% 19.49/19.74 (product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))))),
% 19.49/19.74 inference(monotonicity,[status(thm)],[1031])).
% 19.49/19.74 tff(1033,plain,
% 19.49/19.74 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.74 inference(quant_inst,[status(thm)],[])).
% 19.49/19.74 tff(1034,plain,
% 19.49/19.74 (product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.49/19.74 inference(unit_resolution,[status(thm)],[1033, 7])).
% 19.49/19.74 tff(1035,plain,
% 19.49/19.74 (product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.49/19.74 inference(transitivity,[status(thm)],[1034, 1032, 1025, 581, 578])).
% 19.49/19.74 tff(1036,plain,
% 19.49/19.74 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.49/19.74 inference(monotonicity,[status(thm)],[1035])).
% 19.49/19.74 tff(1037,plain,
% 19.49/19.74 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.74 inference(quant_inst,[status(thm)],[])).
% 19.49/19.74 tff(1038,plain,
% 19.49/19.74 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.49/19.74 inference(unit_resolution,[status(thm)],[1037, 7])).
% 19.49/19.74 tff(1039,plain,
% 19.49/19.74 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.49/19.74 inference(transitivity,[status(thm)],[1038, 1036, 214, 211])).
% 19.49/19.74 tff(1040,plain,
% 19.49/19.74 (product(product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2))), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.49/19.74 inference(monotonicity,[status(thm)],[1039])).
% 19.49/19.74 tff(1041,plain,
% 19.49/19.74 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2))), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0)))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(product(X3!2, X2!3), X4!1)))))),
% 19.49/19.74 inference(quant_inst,[status(thm)],[])).
% 19.49/19.74 tff(1042,plain,
% 19.49/19.74 (product(product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2))), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0)))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.49/19.74 inference(unit_resolution,[status(thm)],[1041, 7])).
% 19.49/19.74 tff(1043,plain,
% 19.49/19.74 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0)))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2))), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.49/19.74 inference(symmetry,[status(thm)],[1042])).
% 19.49/19.74 tff(1044,plain,
% 19.49/19.74 (product(X2!3, product(product(X3!2, X2!3), X4!1)) = product(product(product(X2!3, product(product(X3!2, X2!3), X3!2)), X2!3), product(product(X3!2, X2!3), X4!1))),
% 19.49/19.75 inference(symmetry,[status(thm)],[463])).
% 19.49/19.75 tff(1045,plain,
% 19.49/19.75 (product(X2!3, product(product(X3!2, X2!3), X4!1)) = product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.49/19.75 inference(transitivity,[status(thm)],[1044, 465])).
% 19.49/19.75 tff(1046,plain,
% 19.49/19.75 (product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.49/19.75 inference(transitivity,[status(thm)],[1034, 1032, 1025])).
% 19.49/19.75 tff(1047,plain,
% 19.49/19.75 (product(product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(X2!3, product(product(X3!2, X2!3), X3!2))), product(X2!3, product(X3!2, X5!0))) = product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0)))),
% 19.49/19.75 inference(monotonicity,[status(thm)],[1046])).
% 19.49/19.75 tff(1048,plain,
% 19.49/19.75 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(X2!3, product(product(X3!2, X2!3), X3!2))), product(X2!3, product(X3!2, X5!0))) = product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))))),
% 19.49/19.75 inference(quant_inst,[status(thm)],[])).
% 19.49/19.75 tff(1049,plain,
% 19.49/19.75 (product(product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(X2!3, product(product(X3!2, X2!3), X3!2))), product(X2!3, product(X3!2, X5!0))) = product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0))))),
% 19.49/19.75 inference(unit_resolution,[status(thm)],[1048, 7])).
% 19.49/19.75 tff(1050,plain,
% 19.49/19.75 (product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))) = product(product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(X2!3, product(product(X3!2, X2!3), X3!2))), product(X2!3, product(X3!2, X5!0)))),
% 19.49/19.75 inference(symmetry,[status(thm)],[1049])).
% 19.49/19.75 tff(1051,plain,
% 19.49/19.75 (product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))) = product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0)))),
% 19.49/19.75 inference(transitivity,[status(thm)],[1050, 1047])).
% 19.49/19.75 tff(1052,plain,
% 19.49/19.75 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0))))) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))))),
% 19.49/19.75 inference(monotonicity,[status(thm)],[1051])).
% 19.49/19.75 tff(1053,plain,
% 19.49/19.75 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0))))), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0)))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.49/19.75 inference(monotonicity,[status(thm)],[1052, 1045])).
% 19.49/19.75 tff(1054,plain,
% 19.49/19.75 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0))))), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))))),
% 19.49/19.75 inference(quant_inst,[status(thm)],[])).
% 19.49/19.75 tff(1055,plain,
% 19.49/19.75 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0))))), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.49/19.75 inference(unit_resolution,[status(thm)],[1054, 7])).
% 19.49/19.75 tff(1056,plain,
% 19.49/19.75 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0))))), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.49/19.75 inference(symmetry,[status(thm)],[1055])).
% 19.49/19.75 tff(1057,plain,
% 19.49/19.75 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.49/19.75 inference(transitivity,[status(thm)],[1056, 1053, 1043, 1040, 571, 569, 562, 565])).
% 19.49/19.75 tff(1058,plain,
% 19.49/19.75 ((product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(X2!3, product(product(X3!2, X2!3), X4!1))) <=> (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.49/19.75 inference(monotonicity,[status(thm)],[1057])).
% 19.49/19.75 tff(1059,plain,
% 19.49/19.75 ((~(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(X2!3, product(product(X3!2, X2!3), X4!1)))) <=> (~(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.49/19.75 inference(monotonicity,[status(thm)],[1058])).
% 19.49/19.75 tff(1060,plain,
% 19.49/19.75 ((~![X0: $i, X1: $i] : (~(((~(product(X0, product(X1, X0)) = X0)) | (~(product(X1, product(X0, X1)) = X1))) <=> d(X0, X1)))) | (~(((~(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(X2!3, product(product(X3!2, X2!3), X4!1)))) | (~(product(product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))))) = product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0))))))) <=> d(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))))))),
% 19.49/19.75 inference(quant_inst,[status(thm)],[])).
% 19.49/19.75 tff(1061,plain,
% 19.49/19.75 (~(((~(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(X2!3, product(product(X3!2, X2!3), X4!1)))) | (~(product(product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))))) = product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0))))))) <=> d(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0))))))),
% 19.49/19.75 inference(unit_resolution,[status(thm)],[1060, 21])).
% 19.49/19.75 tff(1062,plain,
% 19.49/19.75 (product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))) = product(product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(X2!3, product(product(X3!2, X2!3), X3!2))), product(X2!3, product(X3!2, X5!0)))),
% 19.49/19.75 inference(symmetry,[status(thm)],[1047])).
% 19.49/19.75 tff(1063,plain,
% 19.49/19.75 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, X4!1)) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.49/19.75 inference(monotonicity,[status(thm)],[515])).
% 19.49/19.75 tff(1064,plain,
% 19.49/19.75 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3), X4!1) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.49/19.75 inference(transitivity,[status(thm)],[635, 1063])).
% 19.49/19.75 tff(1065,plain,
% 19.49/19.75 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3), X4!1)) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.49/19.75 inference(monotonicity,[status(thm)],[1064])).
% 19.49/19.75 tff(1066,plain,
% 19.49/19.75 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3)), X4!1) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.49/19.75 inference(transitivity,[status(thm)],[639, 1065])).
% 19.49/19.75 tff(1067,plain,
% 19.49/19.75 (product(product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3)), X4!1), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3)))),
% 19.49/19.75 inference(monotonicity,[status(thm)],[1066])).
% 19.49/19.75 tff(1068,plain,
% 19.49/19.75 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3)) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3))))),
% 19.49/19.75 inference(transitivity,[status(thm)],[660, 657, 644, 1067, 630, 621])).
% 19.49/19.75 tff(1069,plain,
% 19.49/19.75 (product(X5!0, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X2!3))) = product(X5!0, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, X2!3)))))),
% 19.49/19.75 inference(monotonicity,[status(thm)],[1068])).
% 19.49/19.75 tff(1070,plain,
% 19.49/19.75 (product(X5!0, X2!3) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, X2!3))),
% 19.49/19.75 inference(transitivity,[status(thm)],[670, 669, 667, 664, 1069, 619, 616, 615, 612])).
% 19.49/19.75 tff(1071,plain,
% 19.49/19.75 (product(product(X5!0, X2!3), X3!2) = product(product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, X2!3)), X3!2)),
% 19.49/19.75 inference(monotonicity,[status(thm)],[1070])).
% 19.49/19.75 tff(1072,plain,
% 19.49/19.75 (product(product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, X2!3)), X3!2) = product(product(X5!0, X2!3), X3!2)),
% 19.49/19.75 inference(symmetry,[status(thm)],[1071])).
% 19.49/19.75 tff(1073,plain,
% 19.49/19.75 (product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.49/19.75 inference(transitivity,[status(thm)],[684, 680, 677, 1072, 589, 587])).
% 19.49/19.75 tff(1074,plain,
% 19.49/19.75 (product(X3!2, product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(X3!2, product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.49/19.75 inference(monotonicity,[status(thm)],[1073])).
% 19.49/19.75 tff(1075,plain,
% 19.49/19.75 (product(product(X3!2, X5!0), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(X3!2, X5!0), product(X2!3, X4!1))),
% 19.49/19.75 inference(monotonicity,[status(thm)],[67])).
% 19.49/19.75 tff(1076,plain,
% 19.49/19.75 (product(product(X3!2, X5!0), product(X2!3, X4!1)) = product(product(X3!2, X5!0), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.49/19.75 inference(symmetry,[status(thm)],[1075])).
% 19.49/19.75 tff(1077,plain,
% 19.49/19.75 (product(product(X3!2, X5!0), product(X2!3, X4!1)) = product(X3!2, product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))))),
% 19.49/19.75 inference(transitivity,[status(thm)],[1076, 725, 723])).
% 19.49/19.75 tff(1078,plain,
% 19.49/19.75 (product(product(product(X3!2, X5!0), product(X2!3, X4!1)), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(X3!2, product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.49/19.75 inference(monotonicity,[status(thm)],[1077])).
% 19.49/19.75 tff(1079,plain,
% 19.49/19.75 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), X4!1)) = product(product(X3!2, X5!0), product(X2!3, X4!1))),
% 19.49/19.75 inference(monotonicity,[status(thm)],[186, 545])).
% 19.49/19.75 tff(1080,plain,
% 19.49/19.75 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0))),
% 19.49/19.75 inference(monotonicity,[status(thm)],[543])).
% 19.49/19.75 tff(1081,plain,
% 19.49/19.75 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), X5!0)) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.49/19.76 inference(symmetry,[status(thm)],[1080])).
% 19.49/19.76 tff(1082,plain,
% 19.49/19.76 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(X3!2, X5!0), product(X2!3, X4!1))),
% 19.49/19.76 inference(monotonicity,[status(thm)],[186, 67])).
% 19.49/19.76 tff(1083,plain,
% 19.49/19.76 (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))), X5!0) = product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0)),
% 19.49/19.76 inference(monotonicity,[status(thm)],[1082])).
% 19.49/19.76 tff(1084,plain,
% 19.49/19.76 (product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0) = product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))), X5!0)),
% 19.49/19.76 inference(symmetry,[status(thm)],[1083])).
% 19.49/19.76 tff(1085,plain,
% 19.49/19.76 (product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.49/19.76 inference(transitivity,[status(thm)],[1084, 746, 1081])).
% 19.49/19.76 tff(1086,plain,
% 19.49/19.76 (product(product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0), X4!1) = product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))), X4!1)),
% 19.49/19.76 inference(monotonicity,[status(thm)],[1085])).
% 19.49/19.76 tff(1087,plain,
% 19.49/19.76 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0)),
% 19.49/19.76 inference(transitivity,[status(thm)],[1080, 752, 1083])).
% 19.49/19.76 tff(1088,plain,
% 19.49/19.76 (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))), product(X4!1, product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0))) = product(product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0), product(X4!1, product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0)))),
% 19.49/19.76 inference(monotonicity,[status(thm)],[1087])).
% 19.49/19.76 tff(1089,plain,
% 19.49/19.76 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.49/19.76 inference(monotonicity,[status(thm)],[365])).
% 19.49/19.76 tff(1090,plain,
% 19.49/19.76 (product(product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.49/19.76 inference(symmetry,[status(thm)],[1089])).
% 19.49/19.76 tff(1091,plain,
% 19.49/19.76 (product(X4!1, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))) = product(X4!1, product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0))),
% 19.49/19.76 inference(monotonicity,[status(thm)],[1087])).
% 19.49/19.76 tff(1092,plain,
% 19.49/19.76 (product(X4!1, product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0)) = product(X4!1, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))),
% 19.49/19.76 inference(symmetry,[status(thm)],[1091])).
% 19.49/19.76 tff(1093,plain,
% 19.49/19.76 (product(X4!1, product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0)) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.59/19.76 inference(transitivity,[status(thm)],[1092, 876, 1090])).
% 19.59/19.76 tff(1094,plain,
% 19.59/19.76 (product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(X4!1, product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0))) = product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))),
% 19.59/19.76 inference(monotonicity,[status(thm)],[1093])).
% 19.59/19.76 tff(1095,plain,
% 19.59/19.76 (product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))) = product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(X4!1, product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0)))),
% 19.59/19.76 inference(symmetry,[status(thm)],[1094])).
% 19.59/19.76 tff(1096,plain,
% 19.59/19.76 (product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))) = product(product(X2!3, X4!1), product(X3!2, X5!0))),
% 19.59/19.76 inference(transitivity,[status(thm)],[526, 525, 546])).
% 19.59/19.76 tff(1097,plain,
% 19.59/19.76 (product(product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.59/19.76 inference(monotonicity,[status(thm)],[1096])).
% 19.59/19.76 tff(1098,plain,
% 19.59/19.76 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.59/19.76 inference(symmetry,[status(thm)],[1097])).
% 19.59/19.76 tff(1099,plain,
% 19.59/19.76 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(X4!1, product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0)))),
% 19.59/19.76 inference(transitivity,[status(thm)],[1098, 883, 1095])).
% 19.59/19.76 tff(1100,plain,
% 19.59/19.76 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(X4!1, product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0))))),
% 19.59/19.76 inference(monotonicity,[status(thm)],[1099])).
% 19.59/19.76 tff(1101,plain,
% 19.59/19.76 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.59/19.76 inference(monotonicity,[status(thm)],[188])).
% 19.59/19.76 tff(1102,plain,
% 19.59/19.76 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.59/19.76 inference(symmetry,[status(thm)],[1101])).
% 19.59/19.76 tff(1103,plain,
% 19.59/19.76 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))),
% 19.59/19.76 inference(transitivity,[status(thm)],[897, 1102])).
% 19.59/19.76 tff(1104,plain,
% 19.59/19.76 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))),
% 19.59/19.76 inference(monotonicity,[status(thm)],[1103])).
% 19.59/19.76 tff(1105,plain,
% 19.59/19.76 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))) = product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0)),
% 19.59/19.76 inference(transitivity,[status(thm)],[1104, 1100, 871, 1088, 866])).
% 19.59/19.76 tff(1106,plain,
% 19.59/19.76 (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))))), X4!1) = product(product(product(product(X3!2, X5!0), product(X2!3, X4!1)), X5!0), X4!1)),
% 19.59/19.76 inference(monotonicity,[status(thm)],[1105])).
% 19.59/19.76 tff(1107,plain,
% 19.59/19.76 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))), X4!1) = product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))), X4!1)),
% 19.59/19.76 inference(monotonicity,[status(thm)],[1103])).
% 19.59/19.76 tff(1108,plain,
% 19.59/19.76 (product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0))), X4!1) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))), X4!1)),
% 19.59/19.76 inference(symmetry,[status(thm)],[1107])).
% 19.59/19.76 tff(1109,plain,
% 19.59/19.76 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))), X4!1)),
% 19.59/19.76 inference(transitivity,[status(thm)],[561, 558, 1108])).
% 19.59/19.76 tff(1110,plain,
% 19.59/19.76 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))), X4!1))),
% 19.59/19.76 inference(monotonicity,[status(thm)],[1109])).
% 19.59/19.76 tff(1111,plain,
% 19.59/19.76 (product(product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.59/19.76 inference(monotonicity,[status(thm)],[367])).
% 19.59/19.76 tff(1112,plain,
% 19.59/19.76 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))),
% 19.59/19.76 inference(monotonicity,[status(thm)],[365])).
% 19.59/19.76 tff(1113,plain,
% 19.59/19.76 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))))),
% 19.59/19.76 inference(symmetry,[status(thm)],[1112])).
% 19.59/19.76 tff(1114,plain,
% 19.59/19.76 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.59/19.76 inference(monotonicity,[status(thm)],[1113])).
% 19.59/19.76 tff(1115,plain,
% 19.59/19.76 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.59/19.76 inference(symmetry,[status(thm)],[1114])).
% 19.59/19.76 tff(1116,plain,
% 19.59/19.76 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.59/19.76 inference(transitivity,[status(thm)],[922, 1115])).
% 19.59/19.76 tff(1117,plain,
% 19.59/19.76 (product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1))))) = product(X2!3, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.59/19.76 inference(monotonicity,[status(thm)],[1116])).
% 19.59/19.76 tff(1118,plain,
% 19.59/19.76 (product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1))))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.59/19.76 inference(transitivity,[status(thm)],[1117, 917, 1111])).
% 19.59/19.76 tff(1119,plain,
% 19.59/19.76 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.59/19.76 inference(monotonicity,[status(thm)],[1118])).
% 19.59/19.76 tff(1120,plain,
% 19.59/19.76 (product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), X2!3)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1))))) = product(product(X3!2, X5!0), product(X2!3, X4!1))),
% 19.59/19.76 inference(transitivity,[status(thm)],[934, 928, 1119, 1110, 904, 1106, 1086, 742, 1079])).
% 19.59/19.76 tff(1121,plain,
% 19.59/19.76 (product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), X2!3)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1))))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(product(X3!2, X5!0), product(X2!3, X4!1)), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.59/19.76 inference(monotonicity,[status(thm)],[1120])).
% 19.59/19.76 tff(1122,plain,
% 19.59/19.76 (product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), X4!1), product(X3!2, product(product(X2!3, X3!2), X5!0)))),
% 19.59/19.76 inference(symmetry,[status(thm)],[361])).
% 19.59/19.76 tff(1123,plain,
% 19.59/19.76 (product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), X5!0) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))),
% 19.59/19.76 inference(transitivity,[status(thm)],[803, 806, 808, 811, 814, 1122, 363])).
% 19.59/19.76 tff(1124,plain,
% 19.59/19.76 (product(product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), X5!0), product(X2!3, product(product(X3!2, X2!3), X4!1))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.59/19.76 inference(monotonicity,[status(thm)],[1123])).
% 19.59/19.76 tff(1125,plain,
% 19.59/19.76 (product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))) = product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1))))),
% 19.59/19.76 inference(transitivity,[status(thm)],[945, 944, 1124, 1114, 921])).
% 19.59/19.76 tff(1126,plain,
% 19.59/19.76 (product(product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[1125])).
% 19.59/19.77 tff(1127,plain,
% 19.59/19.77 (product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.59/19.77 inference(transitivity,[status(thm)],[586, 955, 1071, 676, 679, 683])).
% 19.59/19.77 tff(1128,plain,
% 19.59/19.77 (product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[1127])).
% 19.59/19.77 tff(1129,plain,
% 19.59/19.77 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))) = product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), X5!0)),
% 19.59/19.77 inference(transitivity,[status(thm)],[364, 361, 815, 812, 809, 807, 804])).
% 19.59/19.77 tff(1130,plain,
% 19.59/19.77 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(product(X4!1, product(product(X3!2, product(X5!0, product(product(X4!1, X5!0), X4!1))), product(X5!0, X4!1))), X5!0), product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[1129])).
% 19.59/19.77 tff(1131,plain,
% 19.59/19.77 (product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[1112])).
% 19.59/19.77 tff(1132,plain,
% 19.59/19.77 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.59/19.77 inference(transitivity,[status(thm)],[965, 1131, 1130, 959, 1128, 954, 950, 1126])).
% 19.59/19.77 tff(1133,plain,
% 19.59/19.77 (product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), X2!3)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), X2!3)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[1132])).
% 19.59/19.77 tff(1134,plain,
% 19.59/19.77 (product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.59/19.77 inference(transitivity,[status(thm)],[965, 1131])).
% 19.59/19.77 tff(1135,plain,
% 19.59/19.77 (product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(X2!3, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[1134])).
% 19.59/19.77 tff(1136,plain,
% 19.59/19.77 (product(X2!3, product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.59/19.77 inference(symmetry,[status(thm)],[1135])).
% 19.59/19.77 tff(1137,plain,
% 19.59/19.77 (product(product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[367])).
% 19.59/19.77 tff(1138,plain,
% 19.59/19.77 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0))))), product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.59/19.77 inference(symmetry,[status(thm)],[1137])).
% 19.59/19.77 tff(1139,plain,
% 19.59/19.77 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.59/19.77 inference(transitivity,[status(thm)],[1138, 978, 1136])).
% 19.59/19.77 tff(1140,plain,
% 19.59/19.77 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2))))))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[1139])).
% 19.59/19.77 tff(1141,plain,
% 19.59/19.77 (product(product(X3!2, product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[575, 215])).
% 19.59/19.77 tff(1142,plain,
% 19.59/19.77 (product(X3!2, product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))))) = product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.59/19.77 inference(transitivity,[status(thm)],[1017, 989, 1141, 1140, 973, 970, 1133, 939, 1121, 1078, 721, 719, 1074, 585, 582, 577, 580])).
% 19.59/19.77 tff(1143,plain,
% 19.59/19.77 (product(product(X3!2, product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))))), product(X2!3, product(X3!2, X5!0))) = product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0)))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[1142])).
% 19.59/19.77 tff(1144,plain,
% 19.59/19.77 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X3!2, product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))))), product(X2!3, product(X3!2, X5!0))) = product(X3!2, product(product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))), product(X2!3, product(X3!2, X5!0)))))),
% 19.59/19.77 inference(quant_inst,[status(thm)],[])).
% 19.59/19.77 tff(1145,plain,
% 19.59/19.77 (product(product(X3!2, product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))))), product(X2!3, product(X3!2, X5!0))) = product(X3!2, product(product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))), product(X2!3, product(X3!2, X5!0))))),
% 19.59/19.77 inference(unit_resolution,[status(thm)],[1144, 7])).
% 19.59/19.77 tff(1146,plain,
% 19.59/19.77 (product(X3!2, product(product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))), product(X2!3, product(X3!2, X5!0)))) = product(product(X3!2, product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))))), product(X2!3, product(X3!2, X5!0)))),
% 19.59/19.77 inference(symmetry,[status(thm)],[1145])).
% 19.59/19.77 tff(1147,plain,
% 19.59/19.77 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[215])).
% 19.59/19.77 tff(1148,plain,
% 19.59/19.77 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.59/19.77 inference(symmetry,[status(thm)],[1147])).
% 19.59/19.77 tff(1149,plain,
% 19.59/19.77 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2)))))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.59/19.77 inference(symmetry,[status(thm)],[1140])).
% 19.59/19.77 tff(1150,plain,
% 19.59/19.77 (product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), X2!3)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))) = product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), X2!3)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.59/19.77 inference(symmetry,[status(thm)],[1133])).
% 19.59/19.77 tff(1151,plain,
% 19.59/19.77 (product(product(product(X3!2, X5!0), product(X2!3, X4!1)), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), X2!3)), product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1))))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.59/19.77 inference(symmetry,[status(thm)],[1121])).
% 19.59/19.77 tff(1152,plain,
% 19.59/19.77 (product(product(X3!2, product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1))))), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(product(X3!2, X5!0), product(X2!3, X4!1)), product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.59/19.77 inference(symmetry,[status(thm)],[1078])).
% 19.59/19.77 tff(1153,plain,
% 19.59/19.77 (product(X3!2, product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(X3!2, product(product(product(X5!0, product(product(X4!1, X5!0), X4!1)), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X5!0, product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.59/19.77 inference(symmetry,[status(thm)],[1074])).
% 19.59/19.77 tff(1154,plain,
% 19.59/19.77 (product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.59/19.77 inference(transitivity,[status(thm)],[581, 578, 1013, 584, 1153, 1011, 1010, 1152, 1151, 938, 1150, 1006, 972, 1149, 1148])).
% 19.59/19.77 tff(1155,plain,
% 19.59/19.77 (product(X2!3, product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[1154])).
% 19.59/19.77 tff(1156,plain,
% 19.59/19.77 (product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))))),
% 19.59/19.77 inference(transitivity,[status(thm)],[1030, 1029, 1027, 1155])).
% 19.59/19.77 tff(1157,plain,
% 19.59/19.77 (product(product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))), product(X2!3, product(X3!2, X5!0))) = product(product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))), product(X2!3, product(X3!2, X5!0)))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[1156])).
% 19.59/19.77 tff(1158,plain,
% 19.59/19.77 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))), product(X2!3, product(X3!2, X5!0))) = product(product(X2!3, product(X3!2, X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))))),
% 19.59/19.77 inference(quant_inst,[status(thm)],[])).
% 19.59/19.77 tff(1159,plain,
% 19.59/19.77 (product(product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))), product(X2!3, product(X3!2, X5!0))) = product(product(X2!3, product(X3!2, X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0))))),
% 19.59/19.77 inference(unit_resolution,[status(thm)],[1158, 7])).
% 19.59/19.77 tff(1160,plain,
% 19.59/19.77 (product(product(X2!3, product(X3!2, X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))) = product(product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))), product(X2!3, product(X3!2, X5!0)))),
% 19.59/19.77 inference(symmetry,[status(thm)],[1159])).
% 19.59/19.77 tff(1161,plain,
% 19.59/19.77 (product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0))) = product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(product(X2!3, X3!2), X5!0))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[574])).
% 19.59/19.77 tff(1162,plain,
% 19.59/19.77 (product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(product(X2!3, X3!2), X5!0)) = product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))),
% 19.59/19.77 inference(symmetry,[status(thm)],[1161])).
% 19.59/19.77 tff(1163,plain,
% 19.59/19.77 (product(product(X2!3, product(product(X3!2, X2!3), X3!2)), X5!0) = product(product(X2!3, X3!2), X5!0)),
% 19.59/19.77 inference(monotonicity,[status(thm)],[204])).
% 19.59/19.77 tff(1164,plain,
% 19.59/19.77 (product(product(X2!3, X3!2), X5!0) = product(product(X2!3, product(product(X3!2, X2!3), X3!2)), X5!0)),
% 19.59/19.77 inference(symmetry,[status(thm)],[1163])).
% 19.59/19.77 tff(1165,plain,
% 19.59/19.77 (product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(product(X2!3, X3!2), X5!0)) = product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), X5!0))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[1164])).
% 19.59/19.77 tff(1166,plain,
% 19.59/19.77 (product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), X5!0)) = product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(product(X2!3, X3!2), X5!0))),
% 19.59/19.77 inference(symmetry,[status(thm)],[1165])).
% 19.59/19.77 tff(1167,plain,
% 19.59/19.77 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(product(X3!2, X2!3), X3!2))), X5!0) = product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), X5!0)))),
% 19.59/19.78 inference(quant_inst,[status(thm)],[])).
% 19.59/19.78 tff(1168,plain,
% 19.59/19.78 (product(product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(product(X3!2, X2!3), X3!2))), X5!0) = product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), X5!0))),
% 19.59/19.78 inference(unit_resolution,[status(thm)],[1167, 7])).
% 19.59/19.78 tff(1169,plain,
% 19.59/19.78 (product(X2!3, product(X3!2, product(X2!3, X3!2))) = product(X2!3, X3!2)),
% 19.59/19.78 inference(monotonicity,[status(thm)],[77])).
% 19.59/19.78 tff(1170,plain,
% 19.59/19.78 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(X2!3, X3!2), product(X2!3, X3!2)) = product(X2!3, product(X3!2, product(X2!3, X3!2))))),
% 19.59/19.78 inference(quant_inst,[status(thm)],[])).
% 19.59/19.78 tff(1171,plain,
% 19.59/19.78 (product(product(X2!3, X3!2), product(X2!3, X3!2)) = product(X2!3, product(X3!2, product(X2!3, X3!2)))),
% 19.59/19.78 inference(unit_resolution,[status(thm)],[1170, 7])).
% 19.59/19.78 tff(1172,plain,
% 19.59/19.78 (product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(X2!3, X3!2), product(X2!3, X3!2))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[204, 204])).
% 19.59/19.78 tff(1173,plain,
% 19.59/19.78 (product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(X2!3, X3!2)),
% 19.59/19.78 inference(transitivity,[status(thm)],[1172, 1171, 1169])).
% 19.59/19.78 tff(1174,plain,
% 19.59/19.78 (product(product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(product(X3!2, X2!3), X3!2))), X5!0) = product(product(X2!3, X3!2), X5!0)),
% 19.59/19.78 inference(monotonicity,[status(thm)],[1173])).
% 19.59/19.78 tff(1175,plain,
% 19.59/19.78 (product(product(X2!3, X3!2), X5!0) = product(product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(product(X3!2, X2!3), X3!2))), X5!0)),
% 19.59/19.78 inference(symmetry,[status(thm)],[1174])).
% 19.59/19.78 tff(1176,plain,
% 19.59/19.78 (product(X2!3, product(X3!2, X5!0)) = product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))),
% 19.59/19.78 inference(transitivity,[status(thm)],[574, 1175, 1168, 1166, 1162])).
% 19.59/19.78 tff(1177,plain,
% 19.59/19.78 (product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(X3!2, X5!0))) = product(product(X2!3, product(X3!2, X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0))))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[1176])).
% 19.59/19.78 tff(1178,plain,
% 19.59/19.78 ((~![A: $i] : (product(A, A) = A)) | (product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(X3!2, X5!0))) = product(X2!3, product(X3!2, X5!0)))),
% 19.59/19.78 inference(quant_inst,[status(thm)],[])).
% 19.59/19.78 tff(1179,plain,
% 19.59/19.78 (product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(X3!2, X5!0))) = product(X2!3, product(X3!2, X5!0))),
% 19.59/19.78 inference(unit_resolution,[status(thm)],[1178, 131])).
% 19.59/19.78 tff(1180,plain,
% 19.59/19.78 (product(X2!3, product(X3!2, X5!0)) = product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(X3!2, X5!0)))),
% 19.59/19.78 inference(symmetry,[status(thm)],[1179])).
% 19.59/19.78 tff(1181,plain,
% 19.59/19.78 (product(product(X2!3, X3!2), X5!0) = product(product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))), product(X2!3, product(X3!2, X5!0)))),
% 19.59/19.78 inference(transitivity,[status(thm)],[573, 1180, 1177, 1160, 1157])).
% 19.59/19.78 tff(1182,plain,
% 19.59/19.78 (product(X3!2, product(product(X2!3, X3!2), X5!0)) = product(X3!2, product(product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))), product(X2!3, product(X3!2, X5!0))))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[1181])).
% 19.59/19.78 tff(1183,plain,
% 19.59/19.78 (product(X3!2, X5!0) = product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0))))),
% 19.59/19.78 inference(transitivity,[status(thm)],[181, 184, 1182, 1146, 1143, 1062, 1049])).
% 19.59/19.78 tff(1184,plain,
% 19.59/19.78 (d(product(X2!3, X4!1), product(X3!2, X5!0)) <=> d(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[515, 1183])).
% 19.59/19.78 tff(1185,plain,
% 19.59/19.78 ((~d(product(X2!3, X4!1), product(X3!2, X5!0))) <=> (~d(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0))))))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[1184])).
% 19.59/19.78 tff(1186,plain,
% 19.59/19.78 (~d(product(X2!3, X4!1), product(X3!2, X5!0))),
% 19.59/19.78 inference(or_elim,[status(thm)],[31])).
% 19.59/19.78 tff(1187,plain,
% 19.59/19.78 (~d(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))))),
% 19.59/19.78 inference(modus_ponens,[status(thm)],[1186, 1185])).
% 19.59/19.78 tff(1188,plain,
% 19.59/19.78 ((((~(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(X2!3, product(product(X3!2, X2!3), X4!1)))) | (~(product(product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))))) = product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0))))))) <=> d(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))))) | ((~(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(X2!3, product(product(X3!2, X2!3), X4!1)))) | (~(product(product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))))) = product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0))))))) | d(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))))),
% 19.59/19.78 inference(tautology,[status(thm)],[])).
% 19.59/19.78 tff(1189,plain,
% 19.59/19.78 ((~(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(X2!3, product(product(X3!2, X2!3), X4!1)))) | (~(product(product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))))) = product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0))))))),
% 19.59/19.78 inference(unit_resolution,[status(thm)],[1188, 1187, 1061])).
% 19.59/19.78 tff(1190,plain,
% 19.59/19.78 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.59/19.78 inference(transitivity,[status(thm)],[1147, 1140, 973, 970, 1133, 939, 1121, 1078, 721, 719, 1074, 585, 582, 577, 580])).
% 19.59/19.78 tff(1191,plain,
% 19.59/19.78 (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))), product(X2!3, product(X3!2, X5!0))) = product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0)))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[1190])).
% 19.59/19.78 tff(1192,plain,
% 19.59/19.78 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))), product(X2!3, product(X3!2, X5!0))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0)))))),
% 19.59/19.78 inference(quant_inst,[status(thm)],[])).
% 19.59/19.78 tff(1193,plain,
% 19.59/19.78 (product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))), product(X2!3, product(X3!2, X5!0))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))))),
% 19.59/19.78 inference(unit_resolution,[status(thm)],[1192, 7])).
% 19.59/19.78 tff(1194,plain,
% 19.59/19.78 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0)))) = product(product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))), product(X2!3, product(X3!2, X5!0)))),
% 19.59/19.78 inference(symmetry,[status(thm)],[1193])).
% 19.59/19.78 tff(1195,plain,
% 19.59/19.78 (product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.59/19.78 inference(transitivity,[status(thm)],[581, 578])).
% 19.59/19.78 tff(1196,plain,
% 19.59/19.78 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[1195])).
% 19.59/19.78 tff(1197,plain,
% 19.59/19.78 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.59/19.78 inference(symmetry,[status(thm)],[1196])).
% 19.59/19.78 tff(1198,plain,
% 19.59/19.78 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))), product(X2!3, product(X3!2, X5!0)))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[1197])).
% 19.59/19.78 tff(1199,plain,
% 19.59/19.78 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))), product(X2!3, product(X3!2, X5!0))) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0)))),
% 19.59/19.78 inference(symmetry,[status(thm)],[1198])).
% 19.59/19.78 tff(1200,plain,
% 19.59/19.78 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))), product(X2!3, product(X3!2, X5!0))) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0)))))),
% 19.59/19.78 inference(quant_inst,[status(thm)],[])).
% 19.59/19.78 tff(1201,plain,
% 19.59/19.78 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))), product(X2!3, product(X3!2, X5!0))) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))))),
% 19.59/19.78 inference(unit_resolution,[status(thm)],[1200, 7])).
% 19.59/19.78 tff(1202,plain,
% 19.59/19.78 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0)))) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))), product(X2!3, product(X3!2, X5!0)))),
% 19.59/19.78 inference(symmetry,[status(thm)],[1201])).
% 19.59/19.78 tff(1203,plain,
% 19.59/19.78 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0)))) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0)))),
% 19.59/19.78 inference(transitivity,[status(thm)],[1202, 1199])).
% 19.59/19.78 tff(1204,plain,
% 19.59/19.78 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[1203])).
% 19.59/19.78 tff(1205,plain,
% 19.59/19.78 (product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0)))) = product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X4!1, product(product(X5!0, X4!1), X5!0))), product(product(X2!3, X4!1), product(X3!2, X5!0)))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[477, 187])).
% 19.59/19.78 tff(1206,plain,
% 19.59/19.78 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))), product(X3!2, product(product(X2!3, X3!2), X5!0))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0)))))),
% 19.59/19.78 inference(quant_inst,[status(thm)],[])).
% 19.59/19.78 tff(1207,plain,
% 19.59/19.78 (product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))), product(X3!2, product(product(X2!3, X3!2), X5!0))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(X3!2, product(product(X2!3, X3!2), X5!0))))),
% 19.59/19.78 inference(unit_resolution,[status(thm)],[1206, 7])).
% 19.59/19.78 tff(1208,plain,
% 19.59/19.78 (product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))), product(X3!2, product(product(X2!3, X3!2), X5!0))) = product(product(X2!3, X4!1), product(X3!2, X5!0))),
% 19.59/19.78 inference(transitivity,[status(thm)],[1207, 1205, 424, 427])).
% 19.59/19.78 tff(1209,plain,
% 19.59/19.78 (product(product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))), product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.59/19.79 inference(monotonicity,[status(thm)],[1208])).
% 19.59/19.79 tff(1210,plain,
% 19.59/19.79 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))), product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))),
% 19.59/19.79 inference(quant_inst,[status(thm)],[])).
% 19.59/19.79 tff(1211,plain,
% 19.59/19.79 (product(product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))), product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X2!3, product(product(X3!2, X2!3), X3!2))) = product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.59/19.79 inference(unit_resolution,[status(thm)],[1210, 7])).
% 19.59/19.79 tff(1212,plain,
% 19.59/19.79 (product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))) = product(product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))), product(X3!2, product(product(X2!3, X3!2), X5!0))), product(X2!3, product(product(X3!2, X2!3), X3!2)))),
% 19.59/19.79 inference(symmetry,[status(thm)],[1211])).
% 19.59/19.79 tff(1213,plain,
% 19.59/19.79 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.59/19.79 inference(transitivity,[status(thm)],[566, 563])).
% 19.59/19.79 tff(1214,plain,
% 19.59/19.79 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(product(product(X2!3, X4!1), product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1))), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.59/19.79 inference(monotonicity,[status(thm)],[1213, 1195])).
% 19.59/19.79 tff(1215,plain,
% 19.59/19.79 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))),
% 19.59/19.79 inference(transitivity,[status(thm)],[1214, 1212, 1209, 210, 213])).
% 19.59/19.79 tff(1216,plain,
% 19.59/19.79 (product(product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))), product(X2!3, product(X3!2, X5!0))) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0)))),
% 19.59/19.79 inference(monotonicity,[status(thm)],[1215])).
% 19.59/19.79 tff(1217,plain,
% 19.59/19.79 ((~![C: $i, B: $i, A: $i] : (product(product(A, B), C) = product(A, product(B, C)))) | (product(product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))), product(X2!3, product(X3!2, X5!0))) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0)))))),
% 19.59/19.79 inference(quant_inst,[status(thm)],[])).
% 19.59/19.79 tff(1218,plain,
% 19.59/19.79 (product(product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))), product(X2!3, product(X3!2, X5!0))) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))))),
% 19.59/19.79 inference(unit_resolution,[status(thm)],[1217, 7])).
% 19.59/19.79 tff(1219,plain,
% 19.59/19.79 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0)))) = product(product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))), product(X2!3, product(X3!2, X5!0)))),
% 19.59/19.79 inference(symmetry,[status(thm)],[1218])).
% 19.59/19.79 tff(1220,plain,
% 19.59/19.79 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0)))) = product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))))),
% 19.59/19.79 inference(transitivity,[status(thm)],[1219, 1216, 1198, 1201])).
% 19.59/19.79 tff(1221,plain,
% 19.59/19.79 (product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0)))))),
% 19.59/19.79 inference(monotonicity,[status(thm)],[1220])).
% 19.59/19.79 tff(1222,plain,
% 19.59/19.79 (product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))) = product(product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))), product(X2!3, product(X3!2, X5!0)))),
% 19.59/19.79 inference(symmetry,[status(thm)],[1216])).
% 19.59/19.79 tff(1223,plain,
% 19.59/19.79 (product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0))))) = product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))))),
% 19.59/19.79 inference(transitivity,[status(thm)],[1052, 1202, 1199, 1222, 1218])).
% 19.59/19.79 tff(1224,plain,
% 19.59/19.79 (product(X3!2, product(product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))))), product(X2!3, product(X3!2, X5!0)))) = product(X3!2, product(product(X2!3, X3!2), X5!0))),
% 19.59/19.79 inference(symmetry,[status(thm)],[1182])).
% 19.59/19.79 tff(1225,plain,
% 19.59/19.79 (product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))) = product(product(X3!2, product(X2!3, product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2))))))), product(X2!3, product(X3!2, X5!0)))),
% 19.59/19.79 inference(symmetry,[status(thm)],[1143])).
% 19.59/19.79 tff(1226,plain,
% 19.59/19.79 (product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))) = product(X3!2, product(product(X2!3, X3!2), X5!0))),
% 19.59/19.79 inference(transitivity,[status(thm)],[1050, 1047, 1225, 1145, 1224])).
% 19.59/19.79 tff(1227,plain,
% 19.59/19.79 (product(product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))))) = product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))), product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0)))))),
% 19.59/19.79 inference(monotonicity,[status(thm)],[1226, 1223])).
% 19.59/19.79 tff(1228,plain,
% 19.59/19.79 (product(product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))))) = product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0))))),
% 19.59/19.79 inference(transitivity,[status(thm)],[1227, 1221, 1204, 1194, 1191, 1062, 1049])).
% 19.59/19.79 tff(1229,plain,
% 19.59/19.79 ((~((~(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(X2!3, product(product(X3!2, X2!3), X4!1)))) | (~(product(product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))))) = product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))))))) | (~(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(X2!3, product(product(X3!2, X2!3), X4!1)))) | (~(product(product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))), product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))))) = product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0))))))),
% 19.59/19.79 inference(tautology,[status(thm)],[])).
% 19.59/19.79 tff(1230,plain,
% 19.59/19.79 (~(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(product(product(X3!2, product(product(X2!3, product(X3!2, X5!0)), product(X2!3, product(product(X3!2, X2!3), X3!2)))), product(X2!3, product(X3!2, X5!0))), product(product(X2!3, product(product(X3!2, X2!3), X3!2)), product(X2!3, product(X3!2, X5!0)))), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.59/19.79 inference(unit_resolution,[status(thm)],[1229, 1228, 1189])).
% 19.59/19.79 tff(1231,plain,
% 19.59/19.79 (~(product(product(X2!3, product(product(X3!2, X2!3), X4!1)), product(product(X3!2, product(product(X2!3, X3!2), X5!0)), product(X2!3, product(product(X3!2, X2!3), X4!1)))) = product(X2!3, product(product(X3!2, X2!3), X4!1)))),
% 19.59/19.79 inference(modus_ponens,[status(thm)],[1230, 1059])).
% 19.59/19.79 tff(1232,plain,
% 19.59/19.79 ($false),
% 19.59/19.79 inference(unit_resolution,[status(thm)],[1231, 567])).
% 19.59/19.79 tff(1233,plain,(~(product(product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)), product(product(product(product(X4!1, product(product(X5!0, X4!1), X5!0)), product(X4!1, product(X3!2, product(product(X2!3, X3!2), X5!0)))), product(product(X2!3, X4!1), product(X3!2, X5!0))), product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))) = product(product(X2!3, product(X4!1, product(product(X5!0, X4!1), X5!0))), product(X4!1, X5!0)))), inference(lemma,lemma(discharge,[]))).
% 19.63/19.81 tff(1234,plain,
% 19.63/19.81 ($false),
% 19.63/19.81 inference(unit_resolution,[status(thm)],[1233, 537])).
% 19.63/19.81 % SZS output end Proof
% 19.67/19.84 % E exiting
%------------------------------------------------------------------------------