%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GRP327-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:07:37 AM UTC 2025
% Result : Unsatisfiable 0.39s 0.59s
% Output : Proof 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP327-1 : TPTP v9.0.0. Released v2.5.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Jun 19 15:57:03 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.39/0.59 % SZS status Unsatisfiable
% 0.39/0.59 % SZS output start Proof
% 0.39/0.59 tff(sk_c8_type, type, (
% 0.39/0.59 sk_c8: $i)).
% 0.39/0.59 tff(inverse_type, type, (
% 0.39/0.59 inverse: $i > $i)).
% 0.39/0.59 tff(sk_c7_type, type, (
% 0.39/0.59 sk_c7: $i)).
% 0.39/0.59 tff(multiply_type, type, (
% 0.39/0.59 multiply: ( $i * $i ) > $i)).
% 0.39/0.59 tff(sk_c4_type, type, (
% 0.39/0.59 sk_c4: $i)).
% 0.39/0.59 tff(sk_c6_type, type, (
% 0.39/0.59 sk_c6: $i)).
% 0.39/0.59 tff(sk_c3_type, type, (
% 0.39/0.59 sk_c3: $i)).
% 0.39/0.59 tff(sk_c2_type, type, (
% 0.39/0.59 sk_c2: $i)).
% 0.39/0.59 tff(identity_type, type, (
% 0.39/0.59 identity: $i)).
% 0.39/0.59 tff(sk_c5_type, type, (
% 0.39/0.59 sk_c5: $i)).
% 0.39/0.59 tff(sk_c1_type, type, (
% 0.39/0.59 sk_c1: $i)).
% 0.39/0.59 tff(1,plain,
% 0.39/0.59 ((multiply(sk_c7, sk_c8) = sk_c6) <=> (multiply(sk_c7, sk_c8) = sk_c6)),
% 0.39/0.59 inference(rewrite,[status(thm)],[])).
% 0.39/0.59 tff(2,axiom,(multiply(sk_c7, sk_c8) = sk_c6), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_1')).
% 0.39/0.59 tff(3,plain,
% 0.39/0.59 (multiply(sk_c7, sk_c8) = sk_c6),
% 0.39/0.59 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.39/0.59 tff(4,assumption,(~(multiply(sk_c4, sk_c7) = sk_c8)), introduced(assumption)).
% 0.39/0.59 tff(5,plain,
% 0.39/0.59 (((multiply(sk_c4, sk_c7) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)) <=> ((multiply(sk_c4, sk_c7) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 0.39/0.59 inference(rewrite,[status(thm)],[])).
% 0.39/0.59 tff(6,plain,
% 0.39/0.59 (((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((multiply(sk_c4, sk_c7) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 0.39/0.59 inference(rewrite,[status(thm)],[])).
% 0.39/0.59 tff(7,axiom,((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_17')).
% 0.39/0.59 tff(8,plain,
% 0.39/0.59 ((multiply(sk_c4, sk_c7) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 0.39/0.59 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.39/0.59 tff(9,plain,
% 0.39/0.59 ((multiply(sk_c4, sk_c7) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 0.39/0.59 inference(modus_ponens,[status(thm)],[8, 5])).
% 0.39/0.59 tff(10,plain,
% 0.39/0.59 (multiply(sk_c8, sk_c3) = sk_c7),
% 0.39/0.59 inference(unit_resolution,[status(thm)],[9, 4])).
% 0.39/0.59 tff(11,plain,
% 0.39/0.59 (((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 0.39/0.59 inference(rewrite,[status(thm)],[])).
% 0.39/0.59 tff(12,axiom,((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_23')).
% 0.39/0.59 tff(13,plain,
% 0.39/0.59 ((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 0.39/0.59 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.39/0.59 tff(14,plain,
% 0.39/0.59 (multiply(sk_c2, sk_c8) = sk_c3),
% 0.39/0.59 inference(unit_resolution,[status(thm)],[13, 4])).
% 0.39/0.59 tff(15,plain,
% 0.39/0.59 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = multiply(sk_c8, sk_c3)),
% 0.39/0.59 inference(monotonicity,[status(thm)],[14])).
% 0.39/0.59 tff(16,plain,
% 0.39/0.59 (^[Z: $i, Y: $i, X: $i] : refl((multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z))) <=> (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z))))),
% 0.39/0.59 inference(bind,[status(th)],[])).
% 0.39/0.59 tff(17,plain,
% 0.39/0.59 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z))) <=> ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.39/0.59 inference(quant_intro,[status(thm)],[16])).
% 0.39/0.59 tff(18,plain,
% 0.39/0.59 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z))) <=> ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.39/0.59 inference(rewrite,[status(thm)],[])).
% 0.39/0.59 tff(19,axiom,(![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','associativity')).
% 0.39/0.59 tff(20,plain,
% 0.39/0.59 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.39/0.59 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.39/0.59 tff(21,plain,(
% 0.39/0.59 ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.39/0.59 inference(skolemize,[status(sab)],[20])).
% 0.39/0.59 tff(22,plain,
% 0.39/0.59 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.39/0.59 inference(modus_ponens,[status(thm)],[21, 17])).
% 0.39/0.59 tff(23,plain,
% 0.39/0.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(sk_c8, multiply(sk_c2, sk_c8)))),
% 0.39/0.59 inference(quant_inst,[status(thm)],[])).
% 0.39/0.59 tff(24,plain,
% 0.39/0.59 (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(sk_c8, multiply(sk_c2, sk_c8))),
% 0.39/0.59 inference(unit_resolution,[status(thm)],[23, 22])).
% 0.39/0.59 tff(25,plain,
% 0.39/0.59 (^[X: $i] : refl((multiply(identity, X) = X) <=> (multiply(identity, X) = X))),
% 0.39/0.59 inference(bind,[status(th)],[])).
% 0.39/0.59 tff(26,plain,
% 0.39/0.59 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 0.39/0.59 inference(quant_intro,[status(thm)],[25])).
% 0.39/0.59 tff(27,plain,
% 0.39/0.59 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 0.39/0.59 inference(rewrite,[status(thm)],[])).
% 0.39/0.59 tff(28,axiom,(![X: $i] : (multiply(identity, X) = X)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','left_identity')).
% 0.39/0.59 tff(29,plain,
% 0.39/0.59 (![X: $i] : (multiply(identity, X) = X)),
% 0.39/0.59 inference(modus_ponens,[status(thm)],[28, 27])).
% 0.39/0.59 tff(30,plain,(
% 0.39/0.59 ![X: $i] : (multiply(identity, X) = X)),
% 0.39/0.59 inference(skolemize,[status(sab)],[29])).
% 0.39/0.59 tff(31,plain,
% 0.39/0.59 (![X: $i] : (multiply(identity, X) = X)),
% 0.39/0.59 inference(modus_ponens,[status(thm)],[30, 26])).
% 0.39/0.59 tff(32,plain,
% 0.39/0.59 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c7) = sk_c7)),
% 0.39/0.59 inference(quant_inst,[status(thm)],[])).
% 0.39/0.59 tff(33,plain,
% 0.39/0.59 (multiply(identity, sk_c7) = sk_c7),
% 0.39/0.59 inference(unit_resolution,[status(thm)],[32, 31])).
% 0.39/0.59 tff(34,plain,
% 0.39/0.59 (^[X: $i] : refl((multiply(inverse(X), X) = identity) <=> (multiply(inverse(X), X) = identity))),
% 0.39/0.59 inference(bind,[status(th)],[])).
% 0.39/0.59 tff(35,plain,
% 0.39/0.59 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.39/0.59 inference(quant_intro,[status(thm)],[34])).
% 0.39/0.59 tff(36,plain,
% 0.39/0.59 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.39/0.59 inference(rewrite,[status(thm)],[])).
% 0.39/0.59 tff(37,axiom,(![X: $i] : (multiply(inverse(X), X) = identity)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','left_inverse')).
% 0.39/0.59 tff(38,plain,
% 0.39/0.59 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.39/0.59 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.39/0.59 tff(39,plain,(
% 0.39/0.59 ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.39/0.59 inference(skolemize,[status(sab)],[38])).
% 0.39/0.59 tff(40,plain,
% 0.39/0.59 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.39/0.59 inference(modus_ponens,[status(thm)],[39, 35])).
% 0.39/0.59 tff(41,plain,
% 0.39/0.59 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c4), sk_c4) = identity)),
% 0.39/0.59 inference(quant_inst,[status(thm)],[])).
% 0.39/0.59 tff(42,plain,
% 0.39/0.59 (multiply(inverse(sk_c4), sk_c4) = identity),
% 0.39/0.59 inference(unit_resolution,[status(thm)],[41, 40])).
% 0.39/0.59 tff(43,assumption,(~(inverse(sk_c2) = sk_c8)), introduced(assumption)).
% 0.39/0.59 tff(44,plain,
% 0.39/0.59 (((inverse(sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8))),
% 0.39/0.59 inference(rewrite,[status(thm)],[])).
% 0.39/0.59 tff(45,axiom,((inverse(sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_28')).
% 0.39/0.59 tff(46,plain,
% 0.39/0.59 ((inverse(sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 0.39/0.59 inference(modus_ponens,[status(thm)],[45, 44])).
% 0.39/0.59 tff(47,plain,
% 0.39/0.59 (inverse(sk_c4) = sk_c8),
% 0.39/0.59 inference(unit_resolution,[status(thm)],[46, 43])).
% 0.39/0.59 tff(48,plain,
% 0.39/0.59 (sk_c8 = inverse(sk_c4)),
% 0.39/0.59 inference(symmetry,[status(thm)],[47])).
% 0.39/0.59 tff(49,plain,
% 0.39/0.59 (multiply(sk_c8, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 0.39/0.59 inference(monotonicity,[status(thm)],[48])).
% 0.39/0.59 tff(50,plain,
% 0.39/0.59 (multiply(sk_c8, sk_c4) = identity),
% 0.39/0.59 inference(transitivity,[status(thm)],[49, 42])).
% 0.39/0.59 tff(51,plain,
% 0.39/0.59 (multiply(multiply(sk_c8, sk_c4), sk_c7) = multiply(identity, sk_c7)),
% 0.39/0.59 inference(monotonicity,[status(thm)],[50])).
% 0.39/0.59 tff(52,plain,
% 0.39/0.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c4), sk_c7) = multiply(sk_c8, multiply(sk_c4, sk_c7)))),
% 0.39/0.59 inference(quant_inst,[status(thm)],[])).
% 0.39/0.59 tff(53,plain,
% 0.39/0.59 (multiply(multiply(sk_c8, sk_c4), sk_c7) = multiply(sk_c8, multiply(sk_c4, sk_c7))),
% 0.39/0.59 inference(unit_resolution,[status(thm)],[52, 22])).
% 0.39/0.59 tff(54,plain,
% 0.39/0.59 (multiply(sk_c8, multiply(sk_c4, sk_c7)) = multiply(multiply(sk_c8, sk_c4), sk_c7)),
% 0.39/0.59 inference(symmetry,[status(thm)],[53])).
% 0.39/0.59 tff(55,plain,
% 0.39/0.59 (((inverse(sk_c2) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((inverse(sk_c2) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 0.39/0.59 inference(rewrite,[status(thm)],[])).
% 0.39/0.59 tff(56,axiom,((inverse(sk_c2) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_29')).
% 0.39/0.59 tff(57,plain,
% 0.39/0.59 ((inverse(sk_c2) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 0.39/0.59 inference(modus_ponens,[status(thm)],[56, 55])).
% 0.39/0.59 tff(58,plain,
% 0.39/0.59 (multiply(sk_c4, sk_c7) = sk_c8),
% 0.39/0.59 inference(unit_resolution,[status(thm)],[57, 43])).
% 0.39/0.59 tff(59,plain,
% 0.39/0.59 (sk_c8 = multiply(sk_c4, sk_c7)),
% 0.39/0.59 inference(symmetry,[status(thm)],[58])).
% 0.39/0.59 tff(60,plain,
% 0.39/0.59 (multiply(sk_c8, sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c7))),
% 0.39/0.59 inference(monotonicity,[status(thm)],[59])).
% 0.39/0.59 tff(61,plain,
% 0.39/0.59 (((inverse(sk_c2) = sk_c8) | (multiply(sk_c6, sk_c8) = sk_c7)) <=> ((inverse(sk_c2) = sk_c8) | (multiply(sk_c6, sk_c8) = sk_c7))),
% 0.39/0.59 inference(rewrite,[status(thm)],[])).
% 0.39/0.59 tff(62,axiom,((inverse(sk_c2) = sk_c8) | (multiply(sk_c6, sk_c8) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_27')).
% 0.39/0.59 tff(63,plain,
% 0.39/0.59 ((inverse(sk_c2) = sk_c8) | (multiply(sk_c6, sk_c8) = sk_c7)),
% 0.39/0.59 inference(modus_ponens,[status(thm)],[62, 61])).
% 0.39/0.59 tff(64,plain,
% 0.39/0.59 (multiply(sk_c6, sk_c8) = sk_c7),
% 0.39/0.59 inference(unit_resolution,[status(thm)],[63, 43])).
% 0.39/0.59 tff(65,plain,
% 0.39/0.59 (multiply(sk_c4, multiply(sk_c6, sk_c8)) = multiply(sk_c4, sk_c7)),
% 0.39/0.59 inference(monotonicity,[status(thm)],[64])).
% 0.39/0.59 tff(66,plain,
% 0.39/0.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c6), sk_c8) = multiply(sk_c4, multiply(sk_c6, sk_c8)))),
% 0.39/0.59 inference(quant_inst,[status(thm)],[])).
% 0.39/0.59 tff(67,plain,
% 0.39/0.59 (multiply(multiply(sk_c4, sk_c6), sk_c8) = multiply(sk_c4, multiply(sk_c6, sk_c8))),
% 0.39/0.59 inference(unit_resolution,[status(thm)],[66, 22])).
% 0.39/0.59 tff(68,plain,
% 0.39/0.59 (multiply(multiply(sk_c4, sk_c6), sk_c8) = sk_c8),
% 0.39/0.59 inference(transitivity,[status(thm)],[67, 65, 58])).
% 0.39/0.59 tff(69,plain,
% 0.39/0.59 (multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)) = multiply(sk_c8, sk_c8)),
% 0.39/0.59 inference(monotonicity,[status(thm)],[68])).
% 0.39/0.59 tff(70,plain,
% 0.39/0.59 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))) = multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))),
% 0.39/0.59 inference(quant_inst,[status(thm)],[])).
% 0.39/0.59 tff(71,plain,
% 0.39/0.59 (multiply(identity, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))) = multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))),
% 0.39/0.59 inference(unit_resolution,[status(thm)],[70, 31])).
% 0.39/0.59 tff(72,plain,
% 0.39/0.59 (multiply(sk_c8, sk_c8) = multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))),
% 0.39/0.59 inference(symmetry,[status(thm)],[69])).
% 0.39/0.59 tff(73,plain,
% 0.39/0.59 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c7), sk_c7) = identity)),
% 0.39/0.59 inference(quant_inst,[status(thm)],[])).
% 0.39/0.59 tff(74,plain,
% 0.39/0.59 (multiply(inverse(sk_c7), sk_c7) = identity),
% 0.39/0.59 inference(unit_resolution,[status(thm)],[73, 40])).
% 0.39/0.59 tff(75,plain,
% 0.39/0.59 (((inverse(sk_c2) = sk_c8) | (inverse(sk_c7) = sk_c6)) <=> ((inverse(sk_c2) = sk_c8) | (inverse(sk_c7) = sk_c6))),
% 0.39/0.59 inference(rewrite,[status(thm)],[])).
% 0.39/0.59 tff(76,axiom,((inverse(sk_c2) = sk_c8) | (inverse(sk_c7) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_26')).
% 0.39/0.59 tff(77,plain,
% 0.39/0.59 ((inverse(sk_c2) = sk_c8) | (inverse(sk_c7) = sk_c6)),
% 0.39/0.59 inference(modus_ponens,[status(thm)],[76, 75])).
% 0.39/0.59 tff(78,plain,
% 0.39/0.59 (inverse(sk_c7) = sk_c6),
% 0.39/0.59 inference(unit_resolution,[status(thm)],[77, 43])).
% 0.39/0.59 tff(79,plain,
% 0.39/0.59 (sk_c6 = inverse(sk_c7)),
% 0.39/0.59 inference(symmetry,[status(thm)],[78])).
% 0.39/0.59 tff(80,plain,
% 0.39/0.59 (multiply(sk_c6, sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 0.39/0.59 inference(monotonicity,[status(thm)],[79])).
% 0.39/0.59 tff(81,plain,
% 0.39/0.59 (multiply(sk_c6, sk_c7) = identity),
% 0.39/0.59 inference(transitivity,[status(thm)],[80, 74])).
% 0.39/0.59 tff(82,plain,
% 0.39/0.59 (multiply(multiply(sk_c6, sk_c7), multiply(sk_c8, sk_c8)) = multiply(identity, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))),
% 0.39/0.59 inference(monotonicity,[status(thm)],[81, 72])).
% 0.39/0.59 tff(83,plain,
% 0.39/0.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), multiply(sk_c8, sk_c8)) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c8, sk_c8))))),
% 0.39/0.59 inference(quant_inst,[status(thm)],[])).
% 0.39/0.59 tff(84,plain,
% 0.39/0.59 (multiply(multiply(sk_c6, sk_c7), multiply(sk_c8, sk_c8)) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c8, sk_c8)))),
% 0.39/0.59 inference(unit_resolution,[status(thm)],[83, 22])).
% 0.39/0.59 tff(85,plain,
% 0.39/0.59 (multiply(sk_c6, multiply(sk_c7, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c6, sk_c7), multiply(sk_c8, sk_c8))),
% 0.39/0.59 inference(symmetry,[status(thm)],[84])).
% 0.39/0.59 tff(86,plain,
% 0.39/0.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c8), sk_c8) = multiply(sk_c7, multiply(sk_c8, sk_c8)))),
% 0.39/0.59 inference(quant_inst,[status(thm)],[])).
% 0.39/0.59 tff(87,plain,
% 0.39/0.59 (multiply(multiply(sk_c7, sk_c8), sk_c8) = multiply(sk_c7, multiply(sk_c8, sk_c8))),
% 0.39/0.59 inference(unit_resolution,[status(thm)],[86, 22])).
% 0.39/0.59 tff(88,plain,
% 0.39/0.59 (multiply(multiply(sk_c7, sk_c8), sk_c8) = multiply(sk_c6, sk_c8)),
% 0.39/0.59 inference(monotonicity,[status(thm)],[3])).
% 0.39/0.59 tff(89,plain,
% 0.39/0.59 (multiply(sk_c6, sk_c8) = multiply(multiply(sk_c7, sk_c8), sk_c8)),
% 0.39/0.59 inference(symmetry,[status(thm)],[88])).
% 0.39/0.59 tff(90,plain,
% 0.39/0.59 (sk_c7 = multiply(sk_c6, sk_c8)),
% 0.39/0.59 inference(symmetry,[status(thm)],[64])).
% 0.39/0.59 tff(91,plain,
% 0.39/0.59 (sk_c7 = multiply(sk_c7, multiply(sk_c8, sk_c8))),
% 0.39/0.59 inference(transitivity,[status(thm)],[90, 89, 87])).
% 0.39/0.59 tff(92,plain,
% 0.39/0.59 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c8, sk_c8)))),
% 0.39/0.59 inference(monotonicity,[status(thm)],[78, 91])).
% 0.39/0.59 tff(93,plain,
% 0.39/0.59 (((inverse(sk_c2) = sk_c8) | (multiply(sk_c5, sk_c6) = sk_c7)) <=> ((inverse(sk_c2) = sk_c8) | (multiply(sk_c5, sk_c6) = sk_c7))),
% 0.39/0.59 inference(rewrite,[status(thm)],[])).
% 0.39/0.59 tff(94,axiom,((inverse(sk_c2) = sk_c8) | (multiply(sk_c5, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_31')).
% 0.39/0.59 tff(95,plain,
% 0.39/0.59 ((inverse(sk_c2) = sk_c8) | (multiply(sk_c5, sk_c6) = sk_c7)),
% 0.39/0.59 inference(modus_ponens,[status(thm)],[94, 93])).
% 0.39/0.59 tff(96,plain,
% 0.39/0.59 (multiply(sk_c5, sk_c6) = sk_c7),
% 0.39/0.59 inference(unit_resolution,[status(thm)],[95, 43])).
% 0.39/0.59 tff(97,plain,
% 0.39/0.59 (multiply(sk_c6, multiply(sk_c5, sk_c6)) = multiply(inverse(sk_c7), sk_c7)),
% 0.39/0.59 inference(monotonicity,[status(thm)],[79, 96])).
% 0.39/0.59 tff(98,plain,
% 0.39/0.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c5), sk_c6) = multiply(sk_c6, multiply(sk_c5, sk_c6)))),
% 0.39/0.59 inference(quant_inst,[status(thm)],[])).
% 0.39/0.59 tff(99,plain,
% 0.39/0.59 (multiply(multiply(sk_c6, sk_c5), sk_c6) = multiply(sk_c6, multiply(sk_c5, sk_c6))),
% 0.39/0.59 inference(unit_resolution,[status(thm)],[98, 22])).
% 0.39/0.59 tff(100,plain,
% 0.39/0.59 (multiply(sk_c5, sk_c7) = multiply(sk_c5, multiply(sk_c6, sk_c8))),
% 0.39/0.59 inference(monotonicity,[status(thm)],[90])).
% 0.39/0.59 tff(101,plain,
% 0.39/0.59 (multiply(sk_c5, multiply(sk_c6, sk_c8)) = multiply(sk_c5, sk_c7)),
% 0.39/0.59 inference(symmetry,[status(thm)],[100])).
% 0.39/0.59 tff(102,plain,
% 0.39/0.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c6), sk_c8) = multiply(sk_c5, multiply(sk_c6, sk_c8)))),
% 0.39/0.59 inference(quant_inst,[status(thm)],[])).
% 0.39/0.59 tff(103,plain,
% 0.39/0.59 (multiply(multiply(sk_c5, sk_c6), sk_c8) = multiply(sk_c5, multiply(sk_c6, sk_c8))),
% 0.39/0.59 inference(unit_resolution,[status(thm)],[102, 22])).
% 0.39/0.59 tff(104,plain,
% 0.39/0.59 (multiply(multiply(sk_c5, sk_c6), sk_c8) = multiply(sk_c7, sk_c8)),
% 0.39/0.59 inference(monotonicity,[status(thm)],[96])).
% 0.39/0.59 tff(105,plain,
% 0.39/0.59 (multiply(sk_c7, sk_c8) = multiply(multiply(sk_c5, sk_c6), sk_c8)),
% 0.39/0.59 inference(symmetry,[status(thm)],[104])).
% 0.39/0.59 tff(106,plain,
% 0.39/0.59 (sk_c6 = multiply(sk_c7, sk_c8)),
% 0.39/0.59 inference(symmetry,[status(thm)],[3])).
% 0.39/0.59 tff(107,plain,
% 0.39/0.59 (sk_c6 = multiply(sk_c5, sk_c7)),
% 0.39/0.59 inference(transitivity,[status(thm)],[106, 105, 103, 101])).
% 0.39/0.59 tff(108,plain,
% 0.39/0.59 (multiply(sk_c6, sk_c5) = multiply(multiply(sk_c5, sk_c7), sk_c5)),
% 0.39/0.59 inference(monotonicity,[status(thm)],[107])).
% 0.39/0.59 tff(109,plain,
% 0.39/0.59 (multiply(multiply(sk_c5, sk_c7), sk_c5) = multiply(sk_c6, sk_c5)),
% 0.39/0.59 inference(symmetry,[status(thm)],[108])).
% 0.39/0.59 tff(110,plain,
% 0.39/0.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c7), sk_c5) = multiply(sk_c5, multiply(sk_c7, sk_c5)))),
% 0.39/0.59 inference(quant_inst,[status(thm)],[])).
% 0.39/0.59 tff(111,plain,
% 0.39/0.59 (multiply(multiply(sk_c5, sk_c7), sk_c5) = multiply(sk_c5, multiply(sk_c7, sk_c5))),
% 0.39/0.59 inference(unit_resolution,[status(thm)],[110, 22])).
% 0.39/0.59 tff(112,plain,
% 0.39/0.59 (multiply(sk_c5, multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c5, sk_c7), sk_c5)),
% 0.39/0.59 inference(symmetry,[status(thm)],[111])).
% 0.39/0.59 tff(113,plain,
% 0.39/0.59 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c6, sk_c7)),
% 0.39/0.59 inference(symmetry,[status(thm)],[80])).
% 0.39/0.59 tff(114,plain,
% 0.39/0.59 (identity = multiply(inverse(sk_c7), sk_c7)),
% 0.39/0.59 inference(symmetry,[status(thm)],[74])).
% 0.39/0.59 tff(115,plain,
% 0.39/0.59 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c5), sk_c5) = identity)),
% 0.39/0.59 inference(quant_inst,[status(thm)],[])).
% 0.39/0.59 tff(116,plain,
% 0.39/0.59 (multiply(inverse(sk_c5), sk_c5) = identity),
% 0.39/0.59 inference(unit_resolution,[status(thm)],[115, 40])).
% 0.39/0.59 tff(117,plain,
% 0.39/0.59 (((inverse(sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c7)) <=> ((inverse(sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c7))),
% 0.39/0.59 inference(rewrite,[status(thm)],[])).
% 0.39/0.59 tff(118,axiom,((inverse(sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_30')).
% 0.39/0.59 tff(119,plain,
% 0.39/0.59 ((inverse(sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c7)),
% 0.39/0.59 inference(modus_ponens,[status(thm)],[118, 117])).
% 0.39/0.59 tff(120,plain,
% 0.39/0.59 (inverse(sk_c5) = sk_c7),
% 0.39/0.59 inference(unit_resolution,[status(thm)],[119, 43])).
% 0.39/0.59 tff(121,plain,
% 0.39/0.59 (sk_c7 = inverse(sk_c5)),
% 0.39/0.59 inference(symmetry,[status(thm)],[120])).
% 0.39/0.59 tff(122,plain,
% 0.39/0.59 (multiply(sk_c7, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 0.39/0.59 inference(monotonicity,[status(thm)],[121])).
% 0.39/0.59 tff(123,plain,
% 0.39/0.59 (multiply(sk_c7, sk_c5) = multiply(sk_c6, sk_c7)),
% 0.39/0.59 inference(transitivity,[status(thm)],[122, 116, 114, 113])).
% 0.39/0.59 tff(124,plain,
% 0.39/0.59 (multiply(sk_c5, multiply(sk_c7, sk_c5)) = multiply(sk_c5, multiply(sk_c6, sk_c7))),
% 0.39/0.59 inference(monotonicity,[status(thm)],[123])).
% 0.39/0.59 tff(125,plain,
% 0.39/0.59 (multiply(sk_c5, multiply(sk_c6, sk_c7)) = multiply(sk_c5, multiply(sk_c7, sk_c5))),
% 0.39/0.59 inference(symmetry,[status(thm)],[124])).
% 0.39/0.59 tff(126,plain,
% 0.39/0.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c6), sk_c7) = multiply(sk_c5, multiply(sk_c6, sk_c7)))),
% 0.39/0.59 inference(quant_inst,[status(thm)],[])).
% 0.39/0.59 tff(127,plain,
% 0.39/0.59 (multiply(multiply(sk_c5, sk_c6), sk_c7) = multiply(sk_c5, multiply(sk_c6, sk_c7))),
% 0.39/0.59 inference(unit_resolution,[status(thm)],[126, 22])).
% 0.39/0.59 tff(128,plain,
% 0.39/0.59 (multiply(multiply(sk_c5, sk_c6), sk_c7) = multiply(sk_c7, sk_c7)),
% 0.39/0.59 inference(monotonicity,[status(thm)],[96])).
% 0.39/0.59 tff(129,plain,
% 0.39/0.59 (multiply(sk_c7, sk_c7) = multiply(multiply(sk_c5, sk_c6), sk_c7)),
% 0.39/0.59 inference(symmetry,[status(thm)],[128])).
% 0.39/0.59 tff(130,plain,
% 0.39/0.59 (multiply(sk_c7, multiply(sk_c5, sk_c6)) = multiply(sk_c7, sk_c7)),
% 0.39/0.59 inference(monotonicity,[status(thm)],[96])).
% 0.39/0.59 tff(131,plain,
% 0.39/0.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c5), sk_c6) = multiply(sk_c7, multiply(sk_c5, sk_c6)))),
% 0.39/0.59 inference(quant_inst,[status(thm)],[])).
% 0.39/0.59 tff(132,plain,
% 0.39/0.59 (multiply(multiply(sk_c7, sk_c5), sk_c6) = multiply(sk_c7, multiply(sk_c5, sk_c6))),
% 0.39/0.59 inference(unit_resolution,[status(thm)],[131, 22])).
% 0.39/0.59 tff(133,plain,
% 0.39/0.59 (multiply(inverse(sk_c5), sk_c5) = multiply(sk_c7, sk_c5)),
% 0.39/0.59 inference(symmetry,[status(thm)],[122])).
% 0.39/0.59 tff(134,plain,
% 0.39/0.59 (identity = multiply(inverse(sk_c5), sk_c5)),
% 0.39/0.59 inference(symmetry,[status(thm)],[116])).
% 0.39/0.59 tff(135,plain,
% 0.39/0.59 (multiply(sk_c8, sk_c4) = multiply(sk_c7, sk_c5)),
% 0.39/0.59 inference(transitivity,[status(thm)],[49, 42, 134, 133])).
% 0.39/0.59 tff(136,plain,
% 0.39/0.59 (multiply(multiply(sk_c8, sk_c4), sk_c6) = multiply(multiply(sk_c7, sk_c5), sk_c6)),
% 0.39/0.59 inference(monotonicity,[status(thm)],[135])).
% 0.39/0.59 tff(137,plain,
% 0.39/0.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c4), sk_c6) = multiply(sk_c8, multiply(sk_c4, sk_c6)))),
% 0.39/0.59 inference(quant_inst,[status(thm)],[])).
% 0.39/0.59 tff(138,plain,
% 0.39/0.59 (multiply(multiply(sk_c8, sk_c4), sk_c6) = multiply(sk_c8, multiply(sk_c4, sk_c6))),
% 0.39/0.59 inference(unit_resolution,[status(thm)],[137, 22])).
% 0.39/0.59 tff(139,plain,
% 0.39/0.59 (multiply(sk_c8, multiply(sk_c4, sk_c6)) = multiply(multiply(sk_c8, sk_c4), sk_c6)),
% 0.39/0.59 inference(symmetry,[status(thm)],[138])).
% 0.39/0.59 tff(140,plain,
% 0.39/0.59 (multiply(sk_c4, sk_c6) = multiply(sk_c4, multiply(sk_c7, sk_c8))),
% 0.39/0.59 inference(monotonicity,[status(thm)],[106])).
% 0.39/0.59 tff(141,plain,
% 0.39/0.59 (multiply(sk_c4, multiply(sk_c7, sk_c8)) = multiply(sk_c4, sk_c6)),
% 0.39/0.59 inference(symmetry,[status(thm)],[140])).
% 0.39/0.59 tff(142,plain,
% 0.39/0.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c7), sk_c8) = multiply(sk_c4, multiply(sk_c7, sk_c8)))),
% 0.39/0.59 inference(quant_inst,[status(thm)],[])).
% 0.39/0.59 tff(143,plain,
% 0.39/0.59 (multiply(multiply(sk_c4, sk_c7), sk_c8) = multiply(sk_c4, multiply(sk_c7, sk_c8))),
% 0.39/0.59 inference(unit_resolution,[status(thm)],[142, 22])).
% 0.39/0.59 tff(144,plain,
% 0.39/0.59 (multiply(multiply(sk_c4, sk_c7), sk_c8) = multiply(sk_c8, sk_c8)),
% 0.39/0.59 inference(monotonicity,[status(thm)],[58])).
% 0.39/0.59 tff(145,plain,
% 0.39/0.59 (multiply(sk_c8, sk_c8) = multiply(multiply(sk_c4, sk_c7), sk_c8)),
% 0.39/0.59 inference(symmetry,[status(thm)],[144])).
% 0.39/0.59 tff(146,plain,
% 0.39/0.59 (multiply(sk_c8, sk_c8) = multiply(sk_c4, sk_c6)),
% 0.39/0.59 inference(transitivity,[status(thm)],[145, 143, 141])).
% 0.39/0.59 tff(147,plain,
% 0.39/0.59 (multiply(sk_c8, multiply(sk_c8, sk_c8)) = multiply(sk_c8, multiply(sk_c4, sk_c6))),
% 0.39/0.59 inference(monotonicity,[status(thm)],[146])).
% 0.39/0.59 tff(148,plain,
% 0.39/0.59 (sk_c7 = multiply(sk_c5, sk_c6)),
% 0.39/0.59 inference(symmetry,[status(thm)],[96])).
% 0.39/0.59 tff(149,plain,
% 0.39/0.59 (multiply(sk_c4, sk_c7) = multiply(sk_c4, multiply(sk_c5, sk_c6))),
% 0.39/0.59 inference(monotonicity,[status(thm)],[148])).
% 0.39/0.59 tff(150,plain,
% 0.39/0.59 (multiply(sk_c4, multiply(sk_c5, sk_c6)) = multiply(sk_c4, sk_c7)),
% 0.39/0.59 inference(symmetry,[status(thm)],[149])).
% 0.39/0.59 tff(151,plain,
% 0.39/0.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c5), sk_c6) = multiply(sk_c4, multiply(sk_c5, sk_c6)))),
% 0.39/0.59 inference(quant_inst,[status(thm)],[])).
% 0.39/0.59 tff(152,plain,
% 0.39/0.59 (multiply(multiply(sk_c4, sk_c5), sk_c6) = multiply(sk_c4, multiply(sk_c5, sk_c6))),
% 0.39/0.59 inference(unit_resolution,[status(thm)],[151, 22])).
% 0.39/0.59 tff(153,plain,
% 0.39/0.59 (multiply(multiply(sk_c4, sk_c5), sk_c6) = sk_c8),
% 0.39/0.59 inference(transitivity,[status(thm)],[152, 150, 58])).
% 0.39/0.59 tff(154,plain,
% 0.39/0.59 (multiply(multiply(multiply(sk_c4, sk_c5), sk_c6), multiply(sk_c8, sk_c8)) = multiply(sk_c8, multiply(sk_c8, sk_c8))),
% 0.39/0.59 inference(monotonicity,[status(thm)],[153])).
% 0.39/0.59 tff(155,plain,
% 0.39/0.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c5), sk_c6), multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c4, sk_c5), multiply(sk_c6, multiply(sk_c8, sk_c8))))),
% 0.39/0.59 inference(quant_inst,[status(thm)],[])).
% 0.39/0.59 tff(156,plain,
% 0.39/0.59 (multiply(multiply(multiply(sk_c4, sk_c5), sk_c6), multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c4, sk_c5), multiply(sk_c6, multiply(sk_c8, sk_c8)))),
% 0.39/0.59 inference(unit_resolution,[status(thm)],[155, 22])).
% 0.39/0.59 tff(157,plain,
% 0.39/0.59 (multiply(multiply(sk_c4, sk_c5), multiply(sk_c6, multiply(sk_c8, sk_c8))) = multiply(multiply(multiply(sk_c4, sk_c5), sk_c6), multiply(sk_c8, sk_c8))),
% 0.39/0.59 inference(symmetry,[status(thm)],[156])).
% 0.39/0.59 tff(158,plain,
% 0.39/0.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c8), sk_c8) = multiply(sk_c6, multiply(sk_c8, sk_c8)))),
% 0.39/0.60 inference(quant_inst,[status(thm)],[])).
% 0.39/0.60 tff(159,plain,
% 0.39/0.60 (multiply(multiply(sk_c6, sk_c8), sk_c8) = multiply(sk_c6, multiply(sk_c8, sk_c8))),
% 0.39/0.60 inference(unit_resolution,[status(thm)],[158, 22])).
% 0.39/0.60 tff(160,plain,
% 0.39/0.60 (multiply(multiply(sk_c6, sk_c8), sk_c8) = multiply(sk_c7, sk_c8)),
% 0.39/0.60 inference(monotonicity,[status(thm)],[64])).
% 0.39/0.60 tff(161,plain,
% 0.39/0.60 (multiply(sk_c7, sk_c8) = multiply(multiply(sk_c6, sk_c8), sk_c8)),
% 0.39/0.60 inference(symmetry,[status(thm)],[160])).
% 0.39/0.60 tff(162,plain,
% 0.39/0.60 (sk_c6 = multiply(sk_c6, multiply(sk_c8, sk_c8))),
% 0.39/0.60 inference(transitivity,[status(thm)],[106, 161, 159])).
% 0.39/0.60 tff(163,plain,
% 0.39/0.60 (multiply(multiply(sk_c4, sk_c5), sk_c6) = multiply(multiply(sk_c4, sk_c5), multiply(sk_c6, multiply(sk_c8, sk_c8)))),
% 0.39/0.60 inference(monotonicity,[status(thm)],[162])).
% 0.39/0.60 tff(164,plain,
% 0.39/0.60 (multiply(sk_c4, multiply(sk_c5, sk_c6)) = multiply(multiply(sk_c4, sk_c5), sk_c6)),
% 0.39/0.60 inference(symmetry,[status(thm)],[152])).
% 0.39/0.60 tff(165,plain,
% 0.39/0.60 (sk_c8 = multiply(sk_c6, sk_c5)),
% 0.39/0.60 inference(transitivity,[status(thm)],[59, 149, 164, 163, 157, 154, 147, 139, 136, 132, 130, 129, 127, 125, 112, 109])).
% 0.39/0.60 tff(166,plain,
% 0.39/0.60 (multiply(sk_c8, multiply(sk_c7, sk_c8)) = multiply(multiply(sk_c6, sk_c5), sk_c6)),
% 0.39/0.60 inference(monotonicity,[status(thm)],[165, 3])).
% 0.39/0.60 tff(167,plain,
% 0.39/0.60 (multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7),
% 0.39/0.60 inference(transitivity,[status(thm)],[166, 99, 97, 92, 85, 82, 71, 69, 60, 54, 51, 33])).
% 0.39/0.60 tff(168,plain,
% 0.39/0.60 (multiply(multiply(sk_c4, sk_c5), multiply(sk_c6, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c4, sk_c5), sk_c6)),
% 0.39/0.60 inference(symmetry,[status(thm)],[163])).
% 0.39/0.60 tff(169,plain,
% 0.39/0.60 (multiply(sk_c8, multiply(sk_c8, sk_c8)) = multiply(multiply(multiply(sk_c4, sk_c5), sk_c6), multiply(sk_c8, sk_c8))),
% 0.39/0.60 inference(symmetry,[status(thm)],[154])).
% 0.39/0.60 tff(170,plain,
% 0.39/0.60 (multiply(sk_c8, multiply(sk_c4, sk_c6)) = multiply(sk_c8, multiply(sk_c8, sk_c8))),
% 0.39/0.60 inference(symmetry,[status(thm)],[147])).
% 0.39/0.60 tff(171,plain,
% 0.39/0.60 (multiply(multiply(sk_c7, sk_c5), sk_c6) = multiply(multiply(sk_c8, sk_c4), sk_c6)),
% 0.39/0.60 inference(symmetry,[status(thm)],[136])).
% 0.39/0.60 tff(172,plain,
% 0.39/0.60 (identity = multiply(sk_c7, sk_c5)),
% 0.39/0.60 inference(transitivity,[status(thm)],[134, 133])).
% 0.39/0.60 tff(173,plain,
% 0.39/0.60 (multiply(identity, multiply(sk_c7, sk_c8)) = multiply(multiply(sk_c7, sk_c5), sk_c6)),
% 0.39/0.60 inference(monotonicity,[status(thm)],[172, 3])).
% 0.39/0.60 tff(174,plain,
% 0.39/0.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c7), sk_c8) = multiply(identity, multiply(sk_c7, sk_c8)))),
% 0.39/0.60 inference(quant_inst,[status(thm)],[])).
% 0.39/0.60 tff(175,plain,
% 0.39/0.60 (multiply(multiply(identity, sk_c7), sk_c8) = multiply(identity, multiply(sk_c7, sk_c8))),
% 0.39/0.60 inference(unit_resolution,[status(thm)],[174, 22])).
% 0.39/0.60 tff(176,plain,
% 0.39/0.60 (sk_c7 = multiply(identity, sk_c7)),
% 0.39/0.60 inference(symmetry,[status(thm)],[33])).
% 0.39/0.60 tff(177,plain,
% 0.39/0.60 (multiply(sk_c7, sk_c8) = multiply(multiply(identity, sk_c7), sk_c8)),
% 0.39/0.60 inference(monotonicity,[status(thm)],[176])).
% 0.39/0.60 tff(178,plain,
% 0.39/0.60 (inverse(sk_c7) = sk_c8),
% 0.39/0.60 inference(transitivity,[status(thm)],[78, 106, 177, 175, 173, 171, 138, 170, 169, 156, 168, 152, 150, 58])).
% 0.39/0.60 tff(179,plain,
% 0.39/0.60 (multiply(sk_c7, multiply(sk_c5, sk_c6)) = multiply(multiply(sk_c7, sk_c5), sk_c6)),
% 0.39/0.60 inference(symmetry,[status(thm)],[132])).
% 0.39/0.60 tff(180,plain,
% 0.39/0.60 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(sk_c5, sk_c6))),
% 0.39/0.60 inference(symmetry,[status(thm)],[130])).
% 0.39/0.60 tff(181,plain,
% 0.39/0.60 (multiply(sk_c7, sk_c7) = sk_c8),
% 0.39/0.60 inference(transitivity,[status(thm)],[180, 179, 171, 138, 170, 169, 156, 168, 152, 150, 58])).
% 0.39/0.60 tff(182,plain,
% 0.39/0.60 ((sk_c8 = inverse(sk_c5)) <=> (inverse(sk_c5) = sk_c8)),
% 0.39/0.60 inference(commutativity,[status(thm)],[])).
% 0.39/0.60 tff(183,plain,
% 0.39/0.60 ((inverse(sk_c7) = sk_c7) <=> (sk_c8 = inverse(sk_c5))),
% 0.39/0.60 inference(monotonicity,[status(thm)],[178, 121])).
% 0.39/0.60 tff(184,plain,
% 0.39/0.60 ((inverse(sk_c7) = sk_c7) <=> (inverse(sk_c5) = sk_c8)),
% 0.39/0.60 inference(transitivity,[status(thm)],[183, 182])).
% 0.39/0.60 tff(185,plain,
% 0.39/0.60 ((inverse(sk_c5) = sk_c8) <=> (inverse(sk_c7) = sk_c7)),
% 0.39/0.60 inference(symmetry,[status(thm)],[184])).
% 0.39/0.60 tff(186,plain,
% 0.39/0.60 (multiply(sk_c8, multiply(sk_c4, sk_c7)) = multiply(sk_c8, sk_c8)),
% 0.39/0.60 inference(symmetry,[status(thm)],[60])).
% 0.39/0.60 tff(187,plain,
% 0.39/0.60 (multiply(identity, sk_c7) = multiply(multiply(sk_c8, sk_c4), sk_c7)),
% 0.39/0.60 inference(symmetry,[status(thm)],[51])).
% 0.39/0.60 tff(188,plain,
% 0.39/0.60 (sk_c7 = multiply(sk_c8, sk_c8)),
% 0.39/0.60 inference(transitivity,[status(thm)],[176, 187, 53, 186])).
% 0.39/0.60 tff(189,plain,
% 0.39/0.60 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(sk_c8, sk_c8))),
% 0.39/0.60 inference(monotonicity,[status(thm)],[188])).
% 0.39/0.60 tff(190,plain,
% 0.39/0.60 (multiply(sk_c7, multiply(sk_c8, sk_c8)) = multiply(sk_c7, sk_c7)),
% 0.39/0.60 inference(symmetry,[status(thm)],[189])).
% 0.39/0.60 tff(191,plain,
% 0.39/0.60 (inverse(sk_c5) = sk_c8),
% 0.39/0.60 inference(transitivity,[status(thm)],[120, 90, 89, 87, 190, 180, 179, 171, 138, 170, 169, 156, 168, 152, 150, 58])).
% 0.39/0.60 tff(192,plain,
% 0.39/0.60 (inverse(sk_c7) = sk_c7),
% 0.39/0.60 inference(modus_ponens,[status(thm)],[191, 185])).
% 0.39/0.60 tff(193,plain,
% 0.39/0.60 (^[X3: $i, X2: $i, X5: $i, X1: $i] : refl(((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7))))),
% 0.39/0.60 inference(bind,[status(th)],[])).
% 0.39/0.60 tff(194,plain,
% 0.39/0.60 (![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7))) <=> ![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))),
% 0.39/0.60 inference(quant_intro,[status(thm)],[193])).
% 0.39/0.60 tff(195,plain,
% 0.39/0.60 (![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7))) <=> ![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))),
% 0.39/0.60 inference(rewrite,[status(thm)],[])).
% 0.39/0.60 tff(196,plain,
% 0.39/0.60 (^[X3: $i, X2: $i, X5: $i, X1: $i] : rewrite(((~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)) | (~(inverse(X3) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7))))),
% 0.39/0.60 inference(bind,[status(th)],[])).
% 0.39/0.60 tff(197,plain,
% 0.39/0.60 (![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)) | (~(inverse(X3) = sk_c7))) <=> ![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))),
% 0.39/0.60 inference(quant_intro,[status(thm)],[196])).
% 0.39/0.60 tff(198,plain,
% 0.39/0.60 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)) | (~(inverse(X3) = sk_c7))) <=> ![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)) | (~(inverse(X3) = sk_c7)))),
% 0.39/0.60 inference(elim_unused_vars,[status(thm)],[])).
% 0.39/0.60 tff(199,plain,
% 0.39/0.60 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) <=> ![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)) | (~(inverse(X3) = sk_c7)))),
% 0.39/0.60 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.39/0.60 tff(200,plain,
% 0.39/0.60 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) <=> ![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)) | (~(inverse(X3) = sk_c7)))),
% 0.39/0.60 inference(transitivity,[status(thm)],[199, 198])).
% 0.39/0.60 tff(201,plain,
% 0.39/0.60 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) <=> ![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))),
% 0.39/0.60 inference(transitivity,[status(thm)],[200, 197])).
% 0.39/0.60 tff(202,plain,
% 0.39/0.60 (^[X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))), (((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) <=> (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X4) = sk_c7))))), rewrite((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X4) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))), (((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))))), ((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) <=> (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X5, sk_c8) = X4))))), rewrite((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X5, sk_c8) = X4))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))), ((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))))), (((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) <=> (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X5) = sk_c8))))), rewrite((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X5) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))), (((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))))), ((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(inverse(sk_c7) = sk_c6))) <=> (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(sk_c7) = sk_c6))))), rewrite((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))), ((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(inverse(sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))))), (((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(inverse(sk_c7) = sk_c6))) | (~(multiply(sk_c6, sk_c8) = sk_c7))) <=> (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(sk_c6, sk_c8) = sk_c7))))), rewrite((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(sk_c6, sk_c8) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))), (((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(inverse(sk_c7) = sk_c6))) | (~(multiply(sk_c6, sk_c8) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))))), ((((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(inverse(sk_c7) = sk_c6))) | (~(multiply(sk_c6, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) <=> (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X1) = sk_c8))))), rewrite((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X1) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))), ((((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(inverse(sk_c7) = sk_c6))) | (~(multiply(sk_c6, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))))), (((((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(inverse(sk_c7) = sk_c6))) | (~(multiply(sk_c6, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) <=> (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))))), rewrite((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))), (((((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(inverse(sk_c7) = sk_c6))) | (~(multiply(sk_c6, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))))), ((((((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(inverse(sk_c7) = sk_c6))) | (~(multiply(sk_c6, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(inverse(X2) = sk_c7))) <=> (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X2) = sk_c7))))), rewrite((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X2) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))), ((((((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(inverse(sk_c7) = sk_c6))) | (~(multiply(sk_c6, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(inverse(X2) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))))), (((((((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(inverse(sk_c7) = sk_c6))) | (~(multiply(sk_c6, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(inverse(X2) = sk_c7))) | (~(multiply(X2, sk_c6) = sk_c7))) <=> (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X2, sk_c6) = sk_c7))))), rewrite((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X2, sk_c6) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))), (((((((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(inverse(sk_c7) = sk_c6))) | (~(multiply(sk_c6, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(inverse(X2) = sk_c7))) | (~(multiply(X2, sk_c6) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))))),
% 0.39/0.61 inference(bind,[status(th)],[])).
% 0.39/0.61 tff(203,plain,
% 0.39/0.61 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(inverse(sk_c7) = sk_c6))) | (~(multiply(sk_c6, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(inverse(X2) = sk_c7))) | (~(multiply(X2, sk_c6) = sk_c7))) <=> ![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))),
% 0.39/0.61 inference(quant_intro,[status(thm)],[202])).
% 0.39/0.61 tff(204,plain,
% 0.39/0.61 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(inverse(sk_c7) = sk_c6))) | (~(multiply(sk_c6, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(inverse(X2) = sk_c7))) | (~(multiply(X2, sk_c6) = sk_c7))) <=> ![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))),
% 0.39/0.61 inference(transitivity,[status(thm)],[203, 201])).
% 0.39/0.61 tff(205,axiom,(![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(inverse(sk_c7) = sk_c6))) | (~(multiply(sk_c6, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(inverse(X2) = sk_c7))) | (~(multiply(X2, sk_c6) = sk_c7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_32')).
% 0.39/0.61 tff(206,plain,
% 0.39/0.61 (![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))),
% 0.39/0.61 inference(modus_ponens,[status(thm)],[205, 204])).
% 0.39/0.61 tff(207,plain,
% 0.39/0.61 (![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))),
% 0.39/0.61 inference(modus_ponens,[status(thm)],[206, 195])).
% 0.39/0.61 tff(208,plain,(
% 0.39/0.61 ![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))),
% 0.39/0.61 inference(skolemize,[status(sab)],[207])).
% 0.39/0.61 tff(209,plain,
% 0.39/0.61 (![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))),
% 0.39/0.61 inference(modus_ponens,[status(thm)],[208, 194])).
% 0.39/0.61 tff(210,plain,
% 0.39/0.61 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)))),
% 0.39/0.61 inference(rewrite,[status(thm)],[])).
% 0.39/0.61 tff(211,plain,
% 0.39/0.61 (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)))),
% 0.39/0.61 inference(rewrite,[status(thm)],[])).
% 0.39/0.61 tff(212,plain,
% 0.39/0.61 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7))))),
% 0.39/0.61 inference(monotonicity,[status(thm)],[211])).
% 0.39/0.61 tff(213,plain,
% 0.39/0.61 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)))),
% 0.39/0.62 inference(transitivity,[status(thm)],[212, 210])).
% 0.39/0.62 tff(214,plain,
% 0.39/0.62 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)))),
% 0.39/0.62 inference(quant_inst,[status(thm)],[])).
% 0.39/0.62 tff(215,plain,
% 0.39/0.62 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7))),
% 0.39/0.62 inference(modus_ponens,[status(thm)],[214, 213])).
% 0.39/0.62 tff(216,plain,
% 0.39/0.62 ((~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7))),
% 0.39/0.62 inference(unit_resolution,[status(thm)],[215, 3, 78, 64, 120, 96, 209])).
% 0.39/0.62 tff(217,plain,
% 0.39/0.62 ($false),
% 0.39/0.62 inference(unit_resolution,[status(thm)],[216, 192, 181, 178, 167])).
% 0.39/0.62 tff(218,plain,(inverse(sk_c2) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 0.39/0.62 tff(219,plain,
% 0.39/0.62 (sk_c8 = inverse(sk_c2)),
% 0.39/0.62 inference(symmetry,[status(thm)],[218])).
% 0.39/0.62 tff(220,plain,
% 0.39/0.62 (multiply(sk_c8, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 0.39/0.62 inference(monotonicity,[status(thm)],[219])).
% 0.39/0.62 tff(221,plain,
% 0.39/0.62 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c8, sk_c2)),
% 0.39/0.62 inference(symmetry,[status(thm)],[220])).
% 0.39/0.62 tff(222,plain,
% 0.39/0.62 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c2), sk_c2) = identity)),
% 0.39/0.62 inference(quant_inst,[status(thm)],[])).
% 0.39/0.62 tff(223,plain,
% 0.39/0.62 (multiply(inverse(sk_c2), sk_c2) = identity),
% 0.39/0.62 inference(unit_resolution,[status(thm)],[222, 40])).
% 0.39/0.62 tff(224,plain,
% 0.39/0.62 (identity = multiply(inverse(sk_c2), sk_c2)),
% 0.39/0.62 inference(symmetry,[status(thm)],[223])).
% 0.39/0.62 tff(225,plain,
% 0.39/0.62 (identity = multiply(sk_c8, sk_c2)),
% 0.39/0.62 inference(transitivity,[status(thm)],[224, 221])).
% 0.39/0.62 tff(226,plain,
% 0.39/0.62 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c2), sk_c8)),
% 0.39/0.62 inference(monotonicity,[status(thm)],[225])).
% 0.39/0.62 tff(227,plain,
% 0.39/0.62 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c8) = sk_c8)),
% 0.39/0.62 inference(quant_inst,[status(thm)],[])).
% 0.39/0.62 tff(228,plain,
% 0.39/0.62 (multiply(identity, sk_c8) = sk_c8),
% 0.39/0.62 inference(unit_resolution,[status(thm)],[227, 31])).
% 0.39/0.62 tff(229,plain,
% 0.39/0.62 (sk_c8 = multiply(identity, sk_c8)),
% 0.39/0.62 inference(symmetry,[status(thm)],[228])).
% 0.39/0.62 tff(230,plain,
% 0.39/0.62 (sk_c8 = sk_c7),
% 0.39/0.62 inference(transitivity,[status(thm)],[229, 226, 24, 15, 10])).
% 0.39/0.62 tff(231,plain,
% 0.39/0.62 (multiply(sk_c8, multiply(sk_c7, sk_c8)) = multiply(sk_c7, sk_c6)),
% 0.39/0.62 inference(monotonicity,[status(thm)],[230, 3])).
% 0.39/0.62 tff(232,plain,
% 0.39/0.62 ((multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7) <=> (multiply(sk_c7, sk_c6) = sk_c7)),
% 0.39/0.62 inference(monotonicity,[status(thm)],[231])).
% 0.39/0.62 tff(233,plain,
% 0.39/0.62 ((multiply(sk_c7, sk_c6) = sk_c7) <=> (multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)),
% 0.39/0.62 inference(symmetry,[status(thm)],[232])).
% 0.39/0.62 tff(234,plain,
% 0.39/0.62 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c1), sk_c1) = identity)),
% 0.39/0.62 inference(quant_inst,[status(thm)],[])).
% 0.39/0.62 tff(235,plain,
% 0.39/0.62 (multiply(inverse(sk_c1), sk_c1) = identity),
% 0.39/0.62 inference(unit_resolution,[status(thm)],[234, 40])).
% 0.39/0.62 tff(236,assumption,(~(inverse(sk_c1) = sk_c7)), introduced(assumption)).
% 0.39/0.62 tff(237,plain,
% 0.39/0.62 (((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c8))),
% 0.39/0.62 inference(rewrite,[status(thm)],[])).
% 0.39/0.62 tff(238,axiom,((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_10')).
% 0.39/0.62 tff(239,plain,
% 0.39/0.62 ((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 0.39/0.62 inference(modus_ponens,[status(thm)],[238, 237])).
% 0.39/0.62 tff(240,plain,
% 0.39/0.62 (inverse(sk_c4) = sk_c8),
% 0.39/0.62 inference(unit_resolution,[status(thm)],[239, 236])).
% 0.39/0.62 tff(241,plain,
% 0.39/0.62 (sk_c8 = inverse(sk_c4)),
% 0.39/0.62 inference(symmetry,[status(thm)],[240])).
% 0.39/0.62 tff(242,plain,
% 0.39/0.62 (multiply(sk_c8, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 0.39/0.62 inference(monotonicity,[status(thm)],[241])).
% 0.39/0.62 tff(243,plain,
% 0.39/0.62 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c8, sk_c4)),
% 0.39/0.62 inference(symmetry,[status(thm)],[242])).
% 0.39/0.62 tff(244,plain,
% 0.39/0.62 (identity = multiply(inverse(sk_c4), sk_c4)),
% 0.39/0.62 inference(symmetry,[status(thm)],[42])).
% 0.39/0.62 tff(245,plain,
% 0.39/0.62 (identity = multiply(sk_c8, sk_c4)),
% 0.39/0.62 inference(transitivity,[status(thm)],[244, 243])).
% 0.39/0.62 tff(246,plain,
% 0.39/0.62 (multiply(identity, sk_c7) = multiply(multiply(sk_c8, sk_c4), sk_c7)),
% 0.39/0.62 inference(monotonicity,[status(thm)],[245])).
% 0.39/0.62 tff(247,plain,
% 0.39/0.62 (multiply(multiply(sk_c8, sk_c4), sk_c7) = multiply(identity, sk_c7)),
% 0.39/0.62 inference(symmetry,[status(thm)],[246])).
% 0.39/0.62 tff(248,plain,
% 0.39/0.62 (((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 0.39/0.62 inference(rewrite,[status(thm)],[])).
% 0.39/0.62 tff(249,axiom,((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_11')).
% 0.39/0.62 tff(250,plain,
% 0.39/0.62 ((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 0.39/0.62 inference(modus_ponens,[status(thm)],[249, 248])).
% 0.39/0.62 tff(251,plain,
% 0.39/0.62 (multiply(sk_c4, sk_c7) = sk_c8),
% 0.39/0.62 inference(unit_resolution,[status(thm)],[250, 236])).
% 0.39/0.62 tff(252,plain,
% 0.39/0.62 (sk_c8 = multiply(sk_c4, sk_c7)),
% 0.39/0.62 inference(symmetry,[status(thm)],[251])).
% 0.39/0.62 tff(253,plain,
% 0.39/0.62 (multiply(sk_c8, sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c7))),
% 0.39/0.62 inference(monotonicity,[status(thm)],[252])).
% 0.39/0.62 tff(254,plain,
% 0.39/0.62 (multiply(multiply(sk_c4, sk_c7), sk_c8) = multiply(sk_c8, sk_c8)),
% 0.39/0.62 inference(monotonicity,[status(thm)],[251])).
% 0.39/0.62 tff(255,plain,
% 0.39/0.62 (multiply(sk_c4, multiply(sk_c7, sk_c8)) = multiply(multiply(sk_c4, sk_c7), sk_c8)),
% 0.39/0.62 inference(symmetry,[status(thm)],[143])).
% 0.39/0.62 tff(256,plain,
% 0.39/0.62 (multiply(sk_c4, sk_c6) = sk_c7),
% 0.39/0.62 inference(transitivity,[status(thm)],[140, 255, 254, 253, 54, 247, 33])).
% 0.39/0.62 tff(257,plain,
% 0.39/0.62 (inverse(sk_c4) = inverse(sk_c2)),
% 0.39/0.62 inference(transitivity,[status(thm)],[240, 219])).
% 0.39/0.62 tff(258,plain,
% 0.39/0.62 ((inverse(sk_c4) = sk_c7) <=> (inverse(sk_c2) = sk_c7)),
% 0.39/0.62 inference(monotonicity,[status(thm)],[257])).
% 0.39/0.62 tff(259,plain,
% 0.39/0.62 ((inverse(sk_c2) = sk_c7) <=> (inverse(sk_c4) = sk_c7)),
% 0.39/0.62 inference(symmetry,[status(thm)],[258])).
% 0.39/0.62 tff(260,plain,
% 0.39/0.62 (((inverse(sk_c1) = sk_c7) | (multiply(sk_c5, sk_c6) = sk_c7)) <=> ((inverse(sk_c1) = sk_c7) | (multiply(sk_c5, sk_c6) = sk_c7))),
% 0.39/0.62 inference(rewrite,[status(thm)],[])).
% 0.39/0.62 tff(261,axiom,((inverse(sk_c1) = sk_c7) | (multiply(sk_c5, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_13')).
% 0.39/0.62 tff(262,plain,
% 0.39/0.62 ((inverse(sk_c1) = sk_c7) | (multiply(sk_c5, sk_c6) = sk_c7)),
% 0.39/0.62 inference(modus_ponens,[status(thm)],[261, 260])).
% 0.39/0.62 tff(263,plain,
% 0.39/0.62 (multiply(sk_c5, sk_c6) = sk_c7),
% 0.39/0.62 inference(unit_resolution,[status(thm)],[262, 236])).
% 0.39/0.62 tff(264,plain,
% 0.39/0.62 (sk_c7 = multiply(sk_c5, sk_c6)),
% 0.39/0.62 inference(symmetry,[status(thm)],[263])).
% 0.39/0.62 tff(265,plain,
% 0.39/0.62 (multiply(sk_c4, sk_c7) = multiply(sk_c4, multiply(sk_c5, sk_c6))),
% 0.39/0.62 inference(monotonicity,[status(thm)],[264])).
% 0.39/0.62 tff(266,plain,
% 0.39/0.62 (multiply(sk_c4, multiply(sk_c5, sk_c6)) = multiply(sk_c4, sk_c7)),
% 0.39/0.62 inference(symmetry,[status(thm)],[265])).
% 0.39/0.62 tff(267,plain,
% 0.39/0.62 (((inverse(sk_c1) = sk_c7) | (multiply(sk_c6, sk_c8) = sk_c7)) <=> ((inverse(sk_c1) = sk_c7) | (multiply(sk_c6, sk_c8) = sk_c7))),
% 0.39/0.62 inference(rewrite,[status(thm)],[])).
% 0.39/0.62 tff(268,axiom,((inverse(sk_c1) = sk_c7) | (multiply(sk_c6, sk_c8) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_9')).
% 0.39/0.62 tff(269,plain,
% 0.39/0.62 ((inverse(sk_c1) = sk_c7) | (multiply(sk_c6, sk_c8) = sk_c7)),
% 0.39/0.62 inference(modus_ponens,[status(thm)],[268, 267])).
% 0.39/0.62 tff(270,plain,
% 0.39/0.62 (multiply(sk_c6, sk_c8) = sk_c7),
% 0.39/0.62 inference(unit_resolution,[status(thm)],[269, 236])).
% 0.39/0.62 tff(271,plain,
% 0.39/0.62 (multiply(multiply(sk_c6, sk_c8), sk_c8) = multiply(sk_c7, sk_c8)),
% 0.39/0.62 inference(monotonicity,[status(thm)],[270])).
% 0.39/0.62 tff(272,plain,
% 0.39/0.62 (multiply(sk_c7, sk_c8) = multiply(multiply(sk_c6, sk_c8), sk_c8)),
% 0.39/0.62 inference(symmetry,[status(thm)],[271])).
% 0.39/0.62 tff(273,plain,
% 0.39/0.62 (sk_c6 = multiply(sk_c6, multiply(sk_c8, sk_c8))),
% 0.39/0.62 inference(transitivity,[status(thm)],[106, 272, 159])).
% 0.39/0.62 tff(274,plain,
% 0.39/0.62 (multiply(multiply(sk_c4, sk_c5), sk_c6) = multiply(multiply(sk_c4, sk_c5), multiply(sk_c6, multiply(sk_c8, sk_c8)))),
% 0.39/0.62 inference(monotonicity,[status(thm)],[273])).
% 0.39/0.62 tff(275,plain,
% 0.39/0.62 (multiply(multiply(sk_c4, sk_c5), multiply(sk_c6, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c4, sk_c5), sk_c6)),
% 0.39/0.62 inference(symmetry,[status(thm)],[274])).
% 0.39/0.62 tff(276,plain,
% 0.39/0.62 (multiply(multiply(sk_c4, sk_c5), sk_c6) = sk_c8),
% 0.39/0.62 inference(transitivity,[status(thm)],[152, 266, 251])).
% 0.39/0.62 tff(277,plain,
% 0.39/0.62 (multiply(multiply(multiply(sk_c4, sk_c5), sk_c6), multiply(sk_c8, sk_c8)) = multiply(sk_c8, multiply(sk_c8, sk_c8))),
% 0.39/0.62 inference(monotonicity,[status(thm)],[276])).
% 0.39/0.62 tff(278,plain,
% 0.39/0.62 (multiply(sk_c8, multiply(sk_c8, sk_c8)) = multiply(multiply(multiply(sk_c4, sk_c5), sk_c6), multiply(sk_c8, sk_c8))),
% 0.39/0.62 inference(symmetry,[status(thm)],[277])).
% 0.39/0.62 tff(279,plain,
% 0.39/0.62 (multiply(sk_c8, sk_c8) = multiply(multiply(sk_c4, sk_c7), sk_c8)),
% 0.39/0.62 inference(symmetry,[status(thm)],[254])).
% 0.39/0.62 tff(280,plain,
% 0.39/0.62 (multiply(sk_c8, sk_c8) = multiply(sk_c4, sk_c6)),
% 0.39/0.62 inference(transitivity,[status(thm)],[279, 143, 141])).
% 0.39/0.62 tff(281,plain,
% 0.39/0.62 (multiply(sk_c8, multiply(sk_c8, sk_c8)) = multiply(sk_c8, multiply(sk_c4, sk_c6))),
% 0.39/0.62 inference(monotonicity,[status(thm)],[280])).
% 0.39/0.62 tff(282,plain,
% 0.39/0.62 (multiply(sk_c8, multiply(sk_c4, sk_c6)) = multiply(sk_c8, multiply(sk_c8, sk_c8))),
% 0.39/0.62 inference(symmetry,[status(thm)],[281])).
% 0.39/0.62 tff(283,plain,
% 0.39/0.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c8), sk_c5) = multiply(sk_c6, multiply(sk_c8, sk_c5)))),
% 0.39/0.62 inference(quant_inst,[status(thm)],[])).
% 0.39/0.62 tff(284,plain,
% 0.39/0.62 (multiply(multiply(sk_c6, sk_c8), sk_c5) = multiply(sk_c6, multiply(sk_c8, sk_c5))),
% 0.39/0.62 inference(unit_resolution,[status(thm)],[283, 22])).
% 0.39/0.62 tff(285,plain,
% 0.39/0.62 (((inverse(sk_c1) = sk_c7) | (inverse(sk_c5) = sk_c7)) <=> ((inverse(sk_c1) = sk_c7) | (inverse(sk_c5) = sk_c7))),
% 0.39/0.62 inference(rewrite,[status(thm)],[])).
% 0.39/0.62 tff(286,axiom,((inverse(sk_c1) = sk_c7) | (inverse(sk_c5) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_12')).
% 0.39/0.62 tff(287,plain,
% 0.39/0.62 ((inverse(sk_c1) = sk_c7) | (inverse(sk_c5) = sk_c7)),
% 0.39/0.62 inference(modus_ponens,[status(thm)],[286, 285])).
% 0.39/0.62 tff(288,plain,
% 0.39/0.62 (inverse(sk_c5) = sk_c7),
% 0.39/0.62 inference(unit_resolution,[status(thm)],[287, 236])).
% 0.39/0.62 tff(289,plain,
% 0.39/0.62 (sk_c7 = inverse(sk_c5)),
% 0.39/0.62 inference(symmetry,[status(thm)],[288])).
% 0.39/0.62 tff(290,plain,
% 0.39/0.62 (multiply(sk_c6, sk_c8) = inverse(sk_c5)),
% 0.39/0.62 inference(transitivity,[status(thm)],[270, 289])).
% 0.39/0.62 tff(291,plain,
% 0.39/0.62 (multiply(multiply(sk_c6, sk_c8), sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 0.39/0.62 inference(monotonicity,[status(thm)],[290])).
% 0.39/0.62 tff(292,plain,
% 0.39/0.62 (multiply(inverse(sk_c5), sk_c5) = multiply(multiply(sk_c6, sk_c8), sk_c5)),
% 0.39/0.62 inference(symmetry,[status(thm)],[291])).
% 0.39/0.62 tff(293,plain,
% 0.39/0.62 (multiply(sk_c8, sk_c4) = multiply(sk_c6, multiply(sk_c8, sk_c5))),
% 0.39/0.62 inference(transitivity,[status(thm)],[242, 42, 134, 292, 284])).
% 0.39/0.62 tff(294,plain,
% 0.39/0.62 (multiply(multiply(sk_c8, sk_c4), sk_c6) = multiply(multiply(sk_c6, multiply(sk_c8, sk_c5)), sk_c6)),
% 0.39/0.62 inference(monotonicity,[status(thm)],[293])).
% 0.39/0.62 tff(295,plain,
% 0.39/0.62 (multiply(multiply(sk_c6, multiply(sk_c8, sk_c5)), sk_c6) = multiply(multiply(sk_c8, sk_c4), sk_c6)),
% 0.39/0.62 inference(symmetry,[status(thm)],[294])).
% 0.39/0.62 tff(296,plain,
% 0.39/0.62 (multiply(sk_c6, multiply(sk_c8, sk_c5)) = multiply(multiply(sk_c6, sk_c8), sk_c5)),
% 0.39/0.62 inference(symmetry,[status(thm)],[284])).
% 0.39/0.62 tff(297,plain,
% 0.39/0.62 (multiply(sk_c6, multiply(sk_c8, sk_c5)) = identity),
% 0.39/0.62 inference(transitivity,[status(thm)],[296, 291, 116])).
% 0.39/0.62 tff(298,plain,
% 0.39/0.62 (multiply(multiply(sk_c6, multiply(sk_c8, sk_c5)), sk_c6) = multiply(identity, sk_c6)),
% 0.39/0.62 inference(monotonicity,[status(thm)],[297])).
% 0.39/0.62 tff(299,plain,
% 0.39/0.62 (multiply(identity, sk_c6) = multiply(multiply(sk_c6, multiply(sk_c8, sk_c5)), sk_c6)),
% 0.39/0.62 inference(symmetry,[status(thm)],[298])).
% 0.39/0.62 tff(300,plain,
% 0.39/0.62 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c6) = sk_c6)),
% 0.39/0.62 inference(quant_inst,[status(thm)],[])).
% 0.39/0.62 tff(301,plain,
% 0.39/0.62 (multiply(identity, sk_c6) = sk_c6),
% 0.39/0.62 inference(unit_resolution,[status(thm)],[300, 31])).
% 0.39/0.62 tff(302,plain,
% 0.39/0.62 (sk_c6 = multiply(identity, sk_c6)),
% 0.39/0.62 inference(symmetry,[status(thm)],[301])).
% 0.39/0.62 tff(303,assumption,(~(inverse(sk_c7) = sk_c6)), introduced(assumption)).
% 0.39/0.62 tff(304,plain,
% 0.39/0.62 (((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c7) = sk_c6)) <=> ((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c7) = sk_c6))),
% 0.39/0.62 inference(rewrite,[status(thm)],[])).
% 0.39/0.62 tff(305,axiom,((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c7) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_2')).
% 0.39/0.62 tff(306,plain,
% 0.39/0.62 ((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c7) = sk_c6)),
% 0.39/0.62 inference(modus_ponens,[status(thm)],[305, 304])).
% 0.39/0.62 tff(307,plain,
% 0.39/0.62 ((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c7) = sk_c6)),
% 0.39/0.62 inference(modus_ponens,[status(thm)],[306, 304])).
% 0.39/0.62 tff(308,plain,
% 0.39/0.62 ((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c7) = sk_c6)),
% 0.39/0.62 inference(modus_ponens,[status(thm)],[307, 304])).
% 0.39/0.62 tff(309,plain,
% 0.39/0.62 ((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c7) = sk_c6)),
% 0.39/0.62 inference(modus_ponens,[status(thm)],[308, 304])).
% 0.39/0.62 tff(310,plain,
% 0.39/0.62 ((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c7) = sk_c6)),
% 0.39/0.62 inference(modus_ponens,[status(thm)],[309, 304])).
% 0.39/0.62 tff(311,plain,
% 0.39/0.62 (multiply(sk_c1, sk_c7) = sk_c8),
% 0.39/0.62 inference(unit_resolution,[status(thm)],[310, 303])).
% 0.39/0.62 tff(312,plain,
% 0.39/0.62 (sk_c8 = multiply(sk_c1, sk_c7)),
% 0.39/0.62 inference(symmetry,[status(thm)],[311])).
% 0.39/0.62 tff(313,plain,
% 0.39/0.62 (multiply(sk_c7, sk_c8) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 0.39/0.62 inference(monotonicity,[status(thm)],[312])).
% 0.39/0.62 tff(314,plain,
% 0.39/0.62 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(sk_c7, sk_c8)),
% 0.39/0.62 inference(symmetry,[status(thm)],[313])).
% 0.39/0.62 tff(315,plain,
% 0.39/0.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(sk_c7, multiply(sk_c1, sk_c7)))),
% 0.39/0.62 inference(quant_inst,[status(thm)],[])).
% 0.39/0.62 tff(316,plain,
% 0.39/0.62 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 0.39/0.62 inference(unit_resolution,[status(thm)],[315, 22])).
% 0.39/0.62 tff(317,plain,
% 0.39/0.62 (((inverse(sk_c1) = sk_c7) | (inverse(sk_c7) = sk_c6)) <=> ((inverse(sk_c1) = sk_c7) | (inverse(sk_c7) = sk_c6))),
% 0.39/0.62 inference(rewrite,[status(thm)],[])).
% 0.39/0.62 tff(318,axiom,((inverse(sk_c1) = sk_c7) | (inverse(sk_c7) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_8')).
% 0.39/0.62 tff(319,plain,
% 0.39/0.62 ((inverse(sk_c1) = sk_c7) | (inverse(sk_c7) = sk_c6)),
% 0.39/0.62 inference(modus_ponens,[status(thm)],[318, 317])).
% 0.39/0.62 tff(320,plain,
% 0.39/0.62 (inverse(sk_c1) = sk_c7),
% 0.39/0.62 inference(unit_resolution,[status(thm)],[319, 303])).
% 0.39/0.62 tff(321,plain,
% 0.39/0.62 (sk_c7 = inverse(sk_c1)),
% 0.39/0.62 inference(symmetry,[status(thm)],[320])).
% 0.39/0.62 tff(322,plain,
% 0.39/0.62 (multiply(sk_c7, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 0.39/0.62 inference(monotonicity,[status(thm)],[321])).
% 0.39/0.62 tff(323,plain,
% 0.39/0.62 (multiply(sk_c7, sk_c1) = identity),
% 0.39/0.62 inference(transitivity,[status(thm)],[322, 235])).
% 0.39/0.62 tff(324,plain,
% 0.39/0.62 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(identity, sk_c7)),
% 0.39/0.62 inference(monotonicity,[status(thm)],[323])).
% 0.39/0.62 tff(325,plain,
% 0.39/0.62 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 0.39/0.62 inference(symmetry,[status(thm)],[324])).
% 0.39/0.62 tff(326,plain,
% 0.39/0.62 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c1) = sk_c1)),
% 0.39/0.62 inference(quant_inst,[status(thm)],[])).
% 0.39/0.62 tff(327,plain,
% 0.39/0.62 (multiply(identity, sk_c1) = sk_c1),
% 0.39/0.62 inference(unit_resolution,[status(thm)],[326, 31])).
% 0.39/0.62 tff(328,plain,
% 0.39/0.62 (((inverse(sk_c7) = sk_c6) | (multiply(sk_c8, sk_c3) = sk_c7)) <=> ((inverse(sk_c7) = sk_c6) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 0.39/0.62 inference(rewrite,[status(thm)],[])).
% 0.39/0.62 tff(329,plain,
% 0.39/0.62 (((multiply(sk_c8, sk_c3) = sk_c7) | (inverse(sk_c7) = sk_c6)) <=> ((inverse(sk_c7) = sk_c6) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 0.39/0.62 inference(rewrite,[status(thm)],[])).
% 0.39/0.62 tff(330,axiom,((multiply(sk_c8, sk_c3) = sk_c7) | (inverse(sk_c7) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_14')).
% 0.39/0.62 tff(331,plain,
% 0.39/0.62 ((inverse(sk_c7) = sk_c6) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 0.39/0.62 inference(modus_ponens,[status(thm)],[330, 329])).
% 0.39/0.62 tff(332,plain,
% 0.39/0.62 ((inverse(sk_c7) = sk_c6) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 0.39/0.62 inference(modus_ponens,[status(thm)],[331, 328])).
% 0.39/0.62 tff(333,plain,
% 0.39/0.62 (multiply(sk_c8, sk_c3) = sk_c7),
% 0.39/0.62 inference(unit_resolution,[status(thm)],[332, 303])).
% 0.39/0.62 tff(334,plain,
% 0.39/0.62 (((inverse(sk_c7) = sk_c6) | (multiply(sk_c2, sk_c8) = sk_c3)) <=> ((inverse(sk_c7) = sk_c6) | (multiply(sk_c2, sk_c8) = sk_c3))),
% 0.39/0.62 inference(rewrite,[status(thm)],[])).
% 0.39/0.62 tff(335,plain,
% 0.39/0.62 (((multiply(sk_c2, sk_c8) = sk_c3) | (inverse(sk_c7) = sk_c6)) <=> ((inverse(sk_c7) = sk_c6) | (multiply(sk_c2, sk_c8) = sk_c3))),
% 0.39/0.62 inference(rewrite,[status(thm)],[])).
% 0.39/0.62 tff(336,axiom,((multiply(sk_c2, sk_c8) = sk_c3) | (inverse(sk_c7) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_20')).
% 0.39/0.62 tff(337,plain,
% 0.39/0.62 ((inverse(sk_c7) = sk_c6) | (multiply(sk_c2, sk_c8) = sk_c3)),
% 0.39/0.62 inference(modus_ponens,[status(thm)],[336, 335])).
% 0.39/0.62 tff(338,plain,
% 0.39/0.62 ((inverse(sk_c7) = sk_c6) | (multiply(sk_c2, sk_c8) = sk_c3)),
% 0.39/0.62 inference(modus_ponens,[status(thm)],[337, 334])).
% 0.39/0.62 tff(339,plain,
% 0.39/0.62 (multiply(sk_c2, sk_c8) = sk_c3),
% 0.39/0.62 inference(unit_resolution,[status(thm)],[338, 303])).
% 0.39/0.62 tff(340,plain,
% 0.39/0.62 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = multiply(sk_c8, sk_c3)),
% 0.39/0.62 inference(monotonicity,[status(thm)],[339])).
% 0.39/0.62 tff(341,plain,
% 0.39/0.62 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c8, sk_c2)),
% 0.39/0.62 inference(transitivity,[status(thm)],[74, 224, 221])).
% 0.39/0.62 tff(342,plain,
% 0.39/0.62 (multiply(multiply(inverse(sk_c7), sk_c7), sk_c8) = multiply(multiply(sk_c8, sk_c2), sk_c8)),
% 0.39/0.62 inference(monotonicity,[status(thm)],[341])).
% 0.39/0.62 tff(343,plain,
% 0.39/0.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c7), sk_c7), sk_c8) = multiply(inverse(sk_c7), multiply(sk_c7, sk_c8)))),
% 0.39/0.62 inference(quant_inst,[status(thm)],[])).
% 0.39/0.62 tff(344,plain,
% 0.39/0.62 (multiply(multiply(inverse(sk_c7), sk_c7), sk_c8) = multiply(inverse(sk_c7), multiply(sk_c7, sk_c8))),
% 0.39/0.62 inference(unit_resolution,[status(thm)],[343, 22])).
% 0.39/0.62 tff(345,plain,
% 0.39/0.62 (multiply(inverse(sk_c7), multiply(sk_c7, sk_c8)) = multiply(multiply(inverse(sk_c7), sk_c7), sk_c8)),
% 0.39/0.62 inference(symmetry,[status(thm)],[344])).
% 0.39/0.62 tff(346,plain,
% 0.39/0.62 (sk_c7 = multiply(sk_c7, sk_c8)),
% 0.39/0.62 inference(transitivity,[status(thm)],[176, 325, 316, 314])).
% 0.39/0.62 tff(347,plain,
% 0.39/0.62 (multiply(inverse(sk_c7), sk_c7) = multiply(inverse(sk_c7), multiply(sk_c7, sk_c8))),
% 0.39/0.62 inference(monotonicity,[status(thm)],[346])).
% 0.39/0.62 tff(348,plain,
% 0.39/0.62 (identity = inverse(sk_c1)),
% 0.39/0.62 inference(transitivity,[status(thm)],[114, 347, 345, 342, 24, 340, 333, 321])).
% 0.39/0.62 tff(349,plain,
% 0.39/0.62 (multiply(identity, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 0.39/0.62 inference(monotonicity,[status(thm)],[348])).
% 0.39/0.62 tff(350,plain,
% 0.39/0.62 (multiply(inverse(sk_c1), sk_c1) = multiply(identity, sk_c1)),
% 0.39/0.62 inference(symmetry,[status(thm)],[349])).
% 0.39/0.62 tff(351,plain,
% 0.39/0.62 (identity = multiply(inverse(sk_c1), sk_c1)),
% 0.39/0.62 inference(symmetry,[status(thm)],[235])).
% 0.39/0.62 tff(352,plain,
% 0.39/0.62 (multiply(inverse(sk_c7), multiply(sk_c7, sk_c8)) = multiply(inverse(sk_c7), sk_c7)),
% 0.39/0.62 inference(symmetry,[status(thm)],[347])).
% 0.39/0.62 tff(353,plain,
% 0.39/0.62 (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(multiply(inverse(sk_c7), sk_c7), sk_c8)),
% 0.39/0.62 inference(symmetry,[status(thm)],[342])).
% 0.39/0.62 tff(354,plain,
% 0.39/0.62 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = multiply(multiply(sk_c8, sk_c2), sk_c8)),
% 0.39/0.62 inference(symmetry,[status(thm)],[24])).
% 0.39/0.62 tff(355,plain,
% 0.39/0.62 (multiply(sk_c8, sk_c3) = multiply(sk_c8, multiply(sk_c2, sk_c8))),
% 0.39/0.62 inference(symmetry,[status(thm)],[340])).
% 0.39/0.62 tff(356,plain,
% 0.39/0.62 (sk_c7 = multiply(sk_c8, sk_c3)),
% 0.39/0.62 inference(symmetry,[status(thm)],[333])).
% 0.39/0.62 tff(357,plain,
% 0.39/0.62 (sk_c7 = sk_c1),
% 0.39/0.62 inference(transitivity,[status(thm)],[356, 355, 354, 353, 344, 352, 74, 351, 350, 327])).
% 0.39/0.62 tff(358,plain,
% 0.39/0.62 (inverse(sk_c7) = inverse(sk_c1)),
% 0.39/0.62 inference(monotonicity,[status(thm)],[357])).
% 0.39/0.62 tff(359,plain,
% 0.39/0.62 (inverse(sk_c7) = sk_c6),
% 0.39/0.62 inference(transitivity,[status(thm)],[358, 320, 176, 325, 316, 314, 3])).
% 0.39/0.62 tff(360,plain,
% 0.39/0.62 ($false),
% 0.39/0.62 inference(unit_resolution,[status(thm)],[303, 359])).
% 0.39/0.62 tff(361,plain,(inverse(sk_c7) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 0.39/0.62 tff(362,plain,
% 0.39/0.62 (inverse(sk_c7) = inverse(sk_c2)),
% 0.39/0.62 inference(transitivity,[status(thm)],[361, 302, 299, 295, 138, 282, 278, 156, 275, 152, 266, 251, 219])).
% 0.39/0.62 tff(363,plain,
% 0.39/0.62 ((inverse(sk_c7) = sk_c7) <=> (inverse(sk_c2) = sk_c7)),
% 0.39/0.62 inference(monotonicity,[status(thm)],[362])).
% 0.39/0.62 tff(364,plain,
% 0.39/0.62 ((inverse(sk_c7) = sk_c7) <=> (inverse(sk_c4) = sk_c7)),
% 0.39/0.62 inference(transitivity,[status(thm)],[363, 259])).
% 0.39/0.62 tff(365,plain,
% 0.39/0.62 (multiply(sk_c7, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 0.39/0.62 inference(monotonicity,[status(thm)],[289])).
% 0.39/0.62 tff(366,plain,
% 0.39/0.62 (multiply(inverse(sk_c5), sk_c5) = multiply(sk_c7, sk_c5)),
% 0.39/0.62 inference(symmetry,[status(thm)],[365])).
% 0.39/0.62 tff(367,plain,
% 0.39/0.62 (multiply(sk_c8, sk_c4) = multiply(sk_c7, sk_c5)),
% 0.39/0.62 inference(transitivity,[status(thm)],[242, 42, 134, 366])).
% 0.39/0.62 tff(368,plain,
% 0.39/0.62 (multiply(multiply(sk_c8, sk_c4), sk_c7) = multiply(multiply(sk_c7, sk_c5), sk_c7)),
% 0.39/0.62 inference(monotonicity,[status(thm)],[367])).
% 0.39/0.62 tff(369,plain,
% 0.39/0.62 (multiply(multiply(sk_c7, sk_c5), sk_c7) = multiply(multiply(sk_c8, sk_c4), sk_c7)),
% 0.39/0.62 inference(symmetry,[status(thm)],[368])).
% 0.39/0.62 tff(370,plain,
% 0.39/0.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c5), sk_c7) = multiply(sk_c7, multiply(sk_c5, sk_c7)))),
% 0.39/0.63 inference(quant_inst,[status(thm)],[])).
% 0.39/0.63 tff(371,plain,
% 0.39/0.63 (multiply(multiply(sk_c7, sk_c5), sk_c7) = multiply(sk_c7, multiply(sk_c5, sk_c7))),
% 0.39/0.63 inference(unit_resolution,[status(thm)],[370, 22])).
% 0.39/0.63 tff(372,plain,
% 0.39/0.63 (multiply(sk_c7, multiply(sk_c5, sk_c7)) = multiply(multiply(sk_c7, sk_c5), sk_c7)),
% 0.39/0.63 inference(symmetry,[status(thm)],[371])).
% 0.39/0.63 tff(373,plain,
% 0.39/0.63 (multiply(multiply(sk_c5, sk_c6), sk_c8) = multiply(sk_c7, sk_c8)),
% 0.39/0.63 inference(monotonicity,[status(thm)],[263])).
% 0.39/0.63 tff(374,plain,
% 0.39/0.63 (multiply(sk_c5, multiply(sk_c6, sk_c8)) = multiply(multiply(sk_c5, sk_c6), sk_c8)),
% 0.39/0.63 inference(symmetry,[status(thm)],[103])).
% 0.39/0.63 tff(375,plain,
% 0.39/0.63 (sk_c7 = multiply(sk_c6, sk_c8)),
% 0.39/0.63 inference(symmetry,[status(thm)],[270])).
% 0.39/0.63 tff(376,plain,
% 0.39/0.63 (multiply(sk_c5, sk_c7) = multiply(sk_c5, multiply(sk_c6, sk_c8))),
% 0.39/0.63 inference(monotonicity,[status(thm)],[375])).
% 0.39/0.63 tff(377,plain,
% 0.39/0.63 (multiply(sk_c5, sk_c7) = sk_c6),
% 0.39/0.63 inference(transitivity,[status(thm)],[376, 374, 373, 3])).
% 0.39/0.63 tff(378,plain,
% 0.39/0.63 (multiply(sk_c7, multiply(sk_c5, sk_c7)) = multiply(sk_c7, sk_c6)),
% 0.39/0.63 inference(monotonicity,[status(thm)],[377])).
% 0.39/0.63 tff(379,plain,
% 0.39/0.63 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c5, sk_c7))),
% 0.39/0.63 inference(symmetry,[status(thm)],[378])).
% 0.39/0.63 tff(380,plain,
% 0.39/0.63 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(identity, sk_c6))),
% 0.39/0.63 inference(monotonicity,[status(thm)],[302])).
% 0.39/0.63 tff(381,plain,
% 0.39/0.63 (multiply(sk_c7, multiply(identity, sk_c6)) = multiply(sk_c7, sk_c6)),
% 0.39/0.63 inference(symmetry,[status(thm)],[380])).
% 0.39/0.63 tff(382,plain,
% 0.39/0.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, identity), sk_c6) = multiply(sk_c7, multiply(identity, sk_c6)))),
% 0.39/0.63 inference(quant_inst,[status(thm)],[])).
% 0.39/0.63 tff(383,plain,
% 0.39/0.63 (multiply(multiply(sk_c7, identity), sk_c6) = multiply(sk_c7, multiply(identity, sk_c6))),
% 0.39/0.63 inference(unit_resolution,[status(thm)],[382, 22])).
% 0.39/0.63 tff(384,plain,
% 0.39/0.63 (multiply(sk_c6, sk_c4) = multiply(multiply(sk_c7, sk_c8), sk_c4)),
% 0.39/0.63 inference(monotonicity,[status(thm)],[106])).
% 0.39/0.63 tff(385,plain,
% 0.39/0.63 (multiply(multiply(sk_c7, sk_c8), sk_c4) = multiply(sk_c6, sk_c4)),
% 0.39/0.63 inference(symmetry,[status(thm)],[384])).
% 0.39/0.63 tff(386,plain,
% 0.39/0.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c8), sk_c4) = multiply(sk_c7, multiply(sk_c8, sk_c4)))),
% 0.39/0.63 inference(quant_inst,[status(thm)],[])).
% 0.39/0.63 tff(387,plain,
% 0.39/0.63 (multiply(multiply(sk_c7, sk_c8), sk_c4) = multiply(sk_c7, multiply(sk_c8, sk_c4))),
% 0.39/0.63 inference(unit_resolution,[status(thm)],[386, 22])).
% 0.39/0.63 tff(388,plain,
% 0.39/0.63 (multiply(sk_c7, multiply(sk_c8, sk_c4)) = multiply(multiply(sk_c7, sk_c8), sk_c4)),
% 0.39/0.63 inference(symmetry,[status(thm)],[387])).
% 0.39/0.63 tff(389,plain,
% 0.39/0.63 (multiply(sk_c7, identity) = multiply(sk_c7, multiply(sk_c8, sk_c4))),
% 0.39/0.63 inference(monotonicity,[status(thm)],[245])).
% 0.39/0.63 tff(390,plain,
% 0.39/0.63 (multiply(sk_c7, identity) = multiply(sk_c6, sk_c4)),
% 0.39/0.63 inference(transitivity,[status(thm)],[389, 388, 385])).
% 0.39/0.63 tff(391,plain,
% 0.39/0.63 (multiply(multiply(sk_c7, identity), sk_c6) = multiply(multiply(sk_c6, sk_c4), sk_c6)),
% 0.39/0.63 inference(monotonicity,[status(thm)],[390])).
% 0.39/0.63 tff(392,plain,
% 0.39/0.63 (multiply(multiply(sk_c6, sk_c4), sk_c6) = multiply(multiply(sk_c7, identity), sk_c6)),
% 0.39/0.63 inference(symmetry,[status(thm)],[391])).
% 0.39/0.63 tff(393,plain,
% 0.39/0.63 (multiply(multiply(sk_c6, sk_c4), sk_c6) = multiply(multiply(sk_c6, sk_c4), multiply(sk_c7, sk_c8))),
% 0.39/0.63 inference(monotonicity,[status(thm)],[106])).
% 0.39/0.63 tff(394,plain,
% 0.39/0.63 (multiply(multiply(sk_c6, sk_c4), multiply(sk_c7, sk_c8)) = multiply(multiply(sk_c6, sk_c4), sk_c6)),
% 0.39/0.63 inference(symmetry,[status(thm)],[393])).
% 0.39/0.63 tff(395,plain,
% 0.39/0.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), sk_c8) = multiply(multiply(sk_c6, sk_c4), multiply(sk_c7, sk_c8)))),
% 0.39/0.63 inference(quant_inst,[status(thm)],[])).
% 0.39/0.63 tff(396,plain,
% 0.39/0.63 (multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), sk_c8) = multiply(multiply(sk_c6, sk_c4), multiply(sk_c7, sk_c8))),
% 0.39/0.63 inference(unit_resolution,[status(thm)],[395, 22])).
% 0.39/0.63 tff(397,plain,
% 0.39/0.63 (multiply(sk_c6, multiply(sk_c4, sk_c7)) = multiply(sk_c6, sk_c8)),
% 0.39/0.63 inference(monotonicity,[status(thm)],[251])).
% 0.39/0.63 tff(398,plain,
% 0.39/0.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c4), sk_c7) = multiply(sk_c6, multiply(sk_c4, sk_c7)))),
% 0.39/0.63 inference(quant_inst,[status(thm)],[])).
% 0.39/0.63 tff(399,plain,
% 0.39/0.63 (multiply(multiply(sk_c6, sk_c4), sk_c7) = multiply(sk_c6, multiply(sk_c4, sk_c7))),
% 0.39/0.63 inference(unit_resolution,[status(thm)],[398, 22])).
% 0.39/0.63 tff(400,plain,
% 0.39/0.63 (multiply(multiply(sk_c6, sk_c4), sk_c7) = sk_c7),
% 0.39/0.63 inference(transitivity,[status(thm)],[399, 397, 270])).
% 0.39/0.63 tff(401,plain,
% 0.39/0.63 (multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), sk_c8) = multiply(sk_c7, sk_c8)),
% 0.39/0.63 inference(monotonicity,[status(thm)],[400])).
% 0.39/0.63 tff(402,plain,
% 0.39/0.63 (multiply(sk_c7, sk_c8) = multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), sk_c8)),
% 0.39/0.63 inference(symmetry,[status(thm)],[401])).
% 0.39/0.63 tff(403,plain,
% 0.39/0.63 (inverse(sk_c7) = sk_c7),
% 0.39/0.63 inference(transitivity,[status(thm)],[361, 106, 402, 396, 394, 392, 383, 381, 379, 372, 369, 247, 33])).
% 0.39/0.63 tff(404,plain,
% 0.39/0.63 (inverse(sk_c4) = sk_c7),
% 0.39/0.63 inference(modus_ponens,[status(thm)],[403, 364])).
% 0.39/0.63 tff(405,plain,
% 0.39/0.63 (sk_c6 = inverse(sk_c7)),
% 0.39/0.63 inference(symmetry,[status(thm)],[361])).
% 0.39/0.63 tff(406,plain,
% 0.39/0.63 (multiply(sk_c6, sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 0.39/0.63 inference(monotonicity,[status(thm)],[405])).
% 0.39/0.63 tff(407,plain,
% 0.39/0.63 (multiply(sk_c6, sk_c7) = identity),
% 0.39/0.63 inference(transitivity,[status(thm)],[406, 74])).
% 0.39/0.63 tff(408,plain,
% 0.39/0.63 (multiply(multiply(sk_c6, sk_c7), sk_c8) = multiply(identity, sk_c8)),
% 0.39/0.63 inference(monotonicity,[status(thm)],[407])).
% 0.39/0.63 tff(409,plain,
% 0.39/0.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), sk_c8) = multiply(sk_c6, multiply(sk_c7, sk_c8)))),
% 0.39/0.63 inference(quant_inst,[status(thm)],[])).
% 0.39/0.63 tff(410,plain,
% 0.39/0.63 (multiply(multiply(sk_c6, sk_c7), sk_c8) = multiply(sk_c6, multiply(sk_c7, sk_c8))),
% 0.39/0.63 inference(unit_resolution,[status(thm)],[409, 22])).
% 0.39/0.63 tff(411,plain,
% 0.39/0.63 (multiply(sk_c6, multiply(sk_c7, sk_c8)) = multiply(multiply(sk_c6, sk_c7), sk_c8)),
% 0.39/0.63 inference(symmetry,[status(thm)],[410])).
% 0.39/0.63 tff(412,plain,
% 0.39/0.63 (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(sk_c7, sk_c8))),
% 0.39/0.63 inference(monotonicity,[status(thm)],[106])).
% 0.39/0.63 tff(413,plain,
% 0.39/0.63 (multiply(multiply(sk_c7, sk_c8), sk_c6) = multiply(sk_c6, sk_c6)),
% 0.39/0.63 inference(monotonicity,[status(thm)],[3])).
% 0.39/0.63 tff(414,plain,
% 0.39/0.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c8), sk_c6) = multiply(sk_c7, multiply(sk_c8, sk_c6)))),
% 0.39/0.63 inference(quant_inst,[status(thm)],[])).
% 0.39/0.63 tff(415,plain,
% 0.39/0.63 (multiply(multiply(sk_c7, sk_c8), sk_c6) = multiply(sk_c7, multiply(sk_c8, sk_c6))),
% 0.39/0.63 inference(unit_resolution,[status(thm)],[414, 22])).
% 0.39/0.63 tff(416,plain,
% 0.39/0.63 (multiply(sk_c7, multiply(sk_c8, sk_c6)) = multiply(multiply(sk_c7, sk_c8), sk_c6)),
% 0.39/0.63 inference(symmetry,[status(thm)],[415])).
% 0.39/0.63 tff(417,plain,
% 0.39/0.63 (multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c6)) = multiply(sk_c7, multiply(sk_c8, sk_c6))),
% 0.39/0.63 inference(monotonicity,[status(thm)],[256])).
% 0.39/0.63 tff(418,plain,
% 0.39/0.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c6), sk_c8), sk_c6) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c6)))),
% 0.39/0.63 inference(quant_inst,[status(thm)],[])).
% 0.39/0.63 tff(419,plain,
% 0.39/0.63 (multiply(multiply(multiply(sk_c4, sk_c6), sk_c8), sk_c6) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c6))),
% 0.39/0.63 inference(unit_resolution,[status(thm)],[418, 22])).
% 0.39/0.63 tff(420,plain,
% 0.39/0.63 (multiply(sk_c4, multiply(sk_c6, sk_c8)) = multiply(multiply(sk_c4, sk_c6), sk_c8)),
% 0.39/0.63 inference(symmetry,[status(thm)],[67])).
% 0.39/0.63 tff(421,plain,
% 0.39/0.63 (multiply(sk_c4, multiply(sk_c6, sk_c8)) = multiply(sk_c4, sk_c7)),
% 0.39/0.63 inference(monotonicity,[status(thm)],[270])).
% 0.46/0.63 tff(422,plain,
% 0.46/0.63 (multiply(sk_c4, sk_c7) = multiply(sk_c4, multiply(sk_c6, sk_c8))),
% 0.46/0.63 inference(symmetry,[status(thm)],[421])).
% 0.46/0.63 tff(423,plain,
% 0.46/0.63 (sk_c8 = multiply(multiply(sk_c4, sk_c6), sk_c8)),
% 0.46/0.63 inference(transitivity,[status(thm)],[252, 422, 420])).
% 0.46/0.63 tff(424,plain,
% 0.46/0.63 (multiply(sk_c8, multiply(sk_c7, sk_c8)) = multiply(multiply(multiply(sk_c4, sk_c6), sk_c8), sk_c6)),
% 0.46/0.63 inference(monotonicity,[status(thm)],[423, 3])).
% 0.46/0.63 tff(425,plain,
% 0.46/0.63 (multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7),
% 0.46/0.63 inference(transitivity,[status(thm)],[424, 419, 417, 416, 413, 412, 411, 408, 228, 252, 265, 164, 274, 157, 277, 281, 139, 294, 298, 301, 106, 402, 396, 394, 392, 383, 381, 379, 372, 369, 247, 33])).
% 0.46/0.63 tff(426,plain,
% 0.46/0.63 (inverse(sk_c7) = sk_c8),
% 0.46/0.63 inference(transitivity,[status(thm)],[361, 302, 299, 295, 138, 282, 278, 156, 275, 152, 266, 251])).
% 0.46/0.63 tff(427,plain,
% 0.46/0.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c8, sk_c5)), sk_c6) = multiply(sk_c6, multiply(multiply(sk_c8, sk_c5), sk_c6)))),
% 0.46/0.63 inference(quant_inst,[status(thm)],[])).
% 0.46/0.63 tff(428,plain,
% 0.46/0.63 (multiply(multiply(sk_c6, multiply(sk_c8, sk_c5)), sk_c6) = multiply(sk_c6, multiply(multiply(sk_c8, sk_c5), sk_c6))),
% 0.46/0.63 inference(unit_resolution,[status(thm)],[427, 22])).
% 0.46/0.63 tff(429,plain,
% 0.46/0.63 (multiply(sk_c6, multiply(multiply(sk_c8, sk_c5), sk_c6)) = multiply(multiply(sk_c6, multiply(sk_c8, sk_c5)), sk_c6)),
% 0.46/0.63 inference(symmetry,[status(thm)],[428])).
% 0.46/0.63 tff(430,plain,
% 0.46/0.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c5), sk_c6) = multiply(sk_c8, multiply(sk_c5, sk_c6)))),
% 0.46/0.63 inference(quant_inst,[status(thm)],[])).
% 0.46/0.63 tff(431,plain,
% 0.46/0.63 (multiply(multiply(sk_c8, sk_c5), sk_c6) = multiply(sk_c8, multiply(sk_c5, sk_c6))),
% 0.46/0.63 inference(unit_resolution,[status(thm)],[430, 22])).
% 0.46/0.63 tff(432,plain,
% 0.46/0.63 (multiply(sk_c8, multiply(sk_c5, sk_c6)) = multiply(multiply(sk_c8, sk_c5), sk_c6)),
% 0.46/0.63 inference(symmetry,[status(thm)],[431])).
% 0.46/0.63 tff(433,plain,
% 0.46/0.63 (multiply(sk_c8, multiply(sk_c5, sk_c6)) = multiply(sk_c8, sk_c7)),
% 0.46/0.63 inference(monotonicity,[status(thm)],[263])).
% 0.46/0.63 tff(434,plain,
% 0.46/0.63 (multiply(sk_c8, sk_c7) = multiply(sk_c8, multiply(sk_c5, sk_c6))),
% 0.46/0.63 inference(symmetry,[status(thm)],[433])).
% 0.46/0.63 tff(435,plain,
% 0.46/0.63 (multiply(sk_c8, sk_c7) = multiply(multiply(sk_c8, sk_c5), sk_c6)),
% 0.46/0.63 inference(transitivity,[status(thm)],[434, 432])).
% 0.46/0.63 tff(436,plain,
% 0.46/0.63 (multiply(sk_c6, multiply(sk_c8, sk_c7)) = multiply(sk_c6, multiply(multiply(sk_c8, sk_c5), sk_c6))),
% 0.46/0.63 inference(monotonicity,[status(thm)],[435])).
% 0.46/0.63 tff(437,plain,
% 0.46/0.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c8), sk_c7) = multiply(sk_c6, multiply(sk_c8, sk_c7)))),
% 0.46/0.63 inference(quant_inst,[status(thm)],[])).
% 0.46/0.63 tff(438,plain,
% 0.46/0.63 (multiply(multiply(sk_c6, sk_c8), sk_c7) = multiply(sk_c6, multiply(sk_c8, sk_c7))),
% 0.46/0.63 inference(unit_resolution,[status(thm)],[437, 22])).
% 0.46/0.63 tff(439,plain,
% 0.46/0.63 (multiply(sk_c7, sk_c7) = multiply(multiply(sk_c6, sk_c8), sk_c7)),
% 0.46/0.63 inference(monotonicity,[status(thm)],[375])).
% 0.46/0.63 tff(440,plain,
% 0.46/0.63 (multiply(sk_c7, sk_c7) = inverse(sk_c7)),
% 0.46/0.63 inference(transitivity,[status(thm)],[439, 438, 436, 429, 298, 301, 405])).
% 0.46/0.63 tff(441,plain,
% 0.46/0.63 ((multiply(sk_c7, sk_c7) = sk_c8) <=> (inverse(sk_c7) = sk_c8)),
% 0.46/0.63 inference(monotonicity,[status(thm)],[440])).
% 0.46/0.63 tff(442,plain,
% 0.46/0.63 ((inverse(sk_c7) = sk_c8) <=> (multiply(sk_c7, sk_c7) = sk_c8)),
% 0.46/0.63 inference(symmetry,[status(thm)],[441])).
% 0.46/0.63 tff(443,plain,
% 0.46/0.63 (multiply(sk_c7, sk_c7) = sk_c8),
% 0.46/0.63 inference(modus_ponens,[status(thm)],[426, 442])).
% 0.46/0.63 tff(444,plain,
% 0.46/0.63 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)))),
% 0.46/0.63 inference(rewrite,[status(thm)],[])).
% 0.46/0.63 tff(445,plain,
% 0.46/0.63 (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)))),
% 0.46/0.63 inference(rewrite,[status(thm)],[])).
% 0.46/0.63 tff(446,plain,
% 0.46/0.63 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7))))),
% 0.46/0.63 inference(monotonicity,[status(thm)],[445])).
% 0.46/0.63 tff(447,plain,
% 0.46/0.63 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)))),
% 0.46/0.63 inference(transitivity,[status(thm)],[446, 444])).
% 0.46/0.63 tff(448,plain,
% 0.46/0.63 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)))),
% 0.46/0.63 inference(quant_inst,[status(thm)],[])).
% 0.46/0.63 tff(449,plain,
% 0.46/0.63 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7))),
% 0.46/0.63 inference(modus_ponens,[status(thm)],[448, 447])).
% 0.46/0.63 tff(450,plain,
% 0.46/0.63 ((~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7))),
% 0.46/0.63 inference(unit_resolution,[status(thm)],[449, 3, 361, 270, 251, 209])).
% 0.46/0.63 tff(451,plain,
% 0.46/0.63 ($false),
% 0.46/0.63 inference(unit_resolution,[status(thm)],[450, 443, 426, 425, 404, 256])).
% 0.46/0.63 tff(452,plain,(inverse(sk_c1) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 0.46/0.63 tff(453,plain,
% 0.46/0.63 (sk_c7 = inverse(sk_c1)),
% 0.46/0.63 inference(symmetry,[status(thm)],[452])).
% 0.46/0.63 tff(454,plain,
% 0.46/0.63 (multiply(sk_c7, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 0.46/0.63 inference(monotonicity,[status(thm)],[453])).
% 0.46/0.63 tff(455,plain,
% 0.46/0.63 (multiply(sk_c7, sk_c1) = identity),
% 0.46/0.63 inference(transitivity,[status(thm)],[454, 235])).
% 0.46/0.63 tff(456,plain,
% 0.46/0.63 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(identity, sk_c7)),
% 0.46/0.63 inference(monotonicity,[status(thm)],[455])).
% 0.46/0.63 tff(457,plain,
% 0.46/0.63 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 0.46/0.63 inference(symmetry,[status(thm)],[316])).
% 0.46/0.63 tff(458,plain,
% 0.46/0.63 (((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 0.46/0.64 inference(rewrite,[status(thm)],[])).
% 0.46/0.64 tff(459,axiom,((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_5')).
% 0.46/0.64 tff(460,plain,
% 0.46/0.64 ((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 0.46/0.64 inference(modus_ponens,[status(thm)],[459, 458])).
% 0.46/0.64 tff(461,plain,
% 0.46/0.64 (multiply(sk_c1, sk_c7) = sk_c8),
% 0.46/0.64 inference(unit_resolution,[status(thm)],[460, 4])).
% 0.46/0.64 tff(462,plain,
% 0.46/0.64 (sk_c8 = multiply(sk_c1, sk_c7)),
% 0.46/0.64 inference(symmetry,[status(thm)],[461])).
% 0.46/0.64 tff(463,plain,
% 0.46/0.64 (multiply(sk_c7, sk_c8) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 0.46/0.64 inference(monotonicity,[status(thm)],[462])).
% 0.46/0.64 tff(464,plain,
% 0.46/0.64 (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(identity, sk_c8)),
% 0.46/0.64 inference(symmetry,[status(thm)],[226])).
% 0.46/0.64 tff(465,plain,
% 0.46/0.64 (multiply(sk_c8, sk_c3) = multiply(sk_c8, multiply(sk_c2, sk_c8))),
% 0.46/0.64 inference(symmetry,[status(thm)],[15])).
% 0.46/0.64 tff(466,plain,
% 0.46/0.64 (sk_c7 = multiply(sk_c8, sk_c3)),
% 0.46/0.64 inference(symmetry,[status(thm)],[10])).
% 0.46/0.64 tff(467,plain,
% 0.46/0.64 (sk_c7 = sk_c8),
% 0.46/0.64 inference(transitivity,[status(thm)],[466, 465, 354, 464, 228])).
% 0.46/0.64 tff(468,plain,
% 0.46/0.64 (multiply(sk_c7, sk_c7) = multiply(sk_c7, sk_c8)),
% 0.46/0.64 inference(monotonicity,[status(thm)],[467])).
% 0.46/0.64 tff(469,plain,
% 0.46/0.64 (sk_c6 = sk_c7),
% 0.46/0.64 inference(transitivity,[status(thm)],[106, 463, 457, 456, 33])).
% 0.46/0.64 tff(470,plain,
% 0.46/0.64 (multiply(sk_c7, sk_c6) = multiply(sk_c7, sk_c7)),
% 0.46/0.64 inference(monotonicity,[status(thm)],[469])).
% 0.46/0.64 tff(471,plain,
% 0.46/0.64 (multiply(sk_c7, sk_c6) = sk_c7),
% 0.46/0.64 inference(transitivity,[status(thm)],[470, 468, 463, 457, 456, 33])).
% 0.46/0.64 tff(472,plain,
% 0.46/0.64 (multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7),
% 0.46/0.64 inference(modus_ponens,[status(thm)],[471, 233])).
% 0.46/0.64 tff(473,plain,
% 0.46/0.64 ((inverse(sk_c7) = sk_c8) <=> (inverse(sk_c7) = sk_c7)),
% 0.46/0.64 inference(monotonicity,[status(thm)],[230])).
% 0.46/0.64 tff(474,plain,
% 0.46/0.64 ((inverse(sk_c7) = sk_c7) <=> (inverse(sk_c7) = sk_c8)),
% 0.46/0.64 inference(symmetry,[status(thm)],[473])).
% 0.46/0.64 tff(475,plain,
% 0.46/0.64 (inverse(sk_c7) = sk_c7),
% 0.46/0.64 inference(transitivity,[status(thm)],[361, 106, 463, 457, 456, 33])).
% 0.46/0.64 tff(476,plain,
% 0.46/0.64 (inverse(sk_c7) = sk_c8),
% 0.46/0.64 inference(modus_ponens,[status(thm)],[475, 474])).
% 0.46/0.64 tff(477,plain,
% 0.46/0.64 (multiply(sk_c7, sk_c7) = sk_c8),
% 0.46/0.64 inference(transitivity,[status(thm)],[468, 463, 457, 456, 33, 466, 465, 354, 464, 228])).
% 0.46/0.64 tff(478,plain,
% 0.46/0.64 (multiply(multiply(identity, sk_c7), sk_c7) = multiply(sk_c7, sk_c7)),
% 0.46/0.64 inference(monotonicity,[status(thm)],[33])).
% 0.46/0.64 tff(479,plain,
% 0.46/0.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c7), sk_c7) = multiply(identity, multiply(sk_c7, sk_c7)))),
% 0.46/0.64 inference(quant_inst,[status(thm)],[])).
% 0.46/0.64 tff(480,plain,
% 0.46/0.64 (multiply(multiply(identity, sk_c7), sk_c7) = multiply(identity, multiply(sk_c7, sk_c7))),
% 0.46/0.64 inference(unit_resolution,[status(thm)],[479, 22])).
% 0.46/0.64 tff(481,plain,
% 0.46/0.64 (multiply(identity, multiply(sk_c7, sk_c7)) = multiply(multiply(identity, sk_c7), sk_c7)),
% 0.46/0.64 inference(symmetry,[status(thm)],[480])).
% 0.46/0.64 tff(482,plain,
% 0.46/0.64 (multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, sk_c7)) = multiply(identity, multiply(sk_c7, sk_c7))),
% 0.46/0.64 inference(monotonicity,[status(thm)],[455])).
% 0.46/0.64 tff(483,plain,
% 0.46/0.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, sk_c7)) = multiply(sk_c7, multiply(sk_c1, multiply(sk_c7, sk_c7))))),
% 0.46/0.64 inference(quant_inst,[status(thm)],[])).
% 0.46/0.64 tff(484,plain,
% 0.46/0.64 (multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, sk_c7)) = multiply(sk_c7, multiply(sk_c1, multiply(sk_c7, sk_c7)))),
% 0.46/0.64 inference(unit_resolution,[status(thm)],[483, 22])).
% 0.46/0.64 tff(485,plain,
% 0.46/0.64 (multiply(sk_c7, multiply(sk_c1, multiply(sk_c7, sk_c7))) = multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, sk_c7))),
% 0.46/0.64 inference(symmetry,[status(thm)],[484])).
% 0.46/0.64 tff(486,plain,
% 0.46/0.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c7), sk_c7) = multiply(sk_c1, multiply(sk_c7, sk_c7)))),
% 0.46/0.64 inference(quant_inst,[status(thm)],[])).
% 0.46/0.64 tff(487,plain,
% 0.46/0.64 (multiply(multiply(sk_c1, sk_c7), sk_c7) = multiply(sk_c1, multiply(sk_c7, sk_c7))),
% 0.46/0.64 inference(unit_resolution,[status(thm)],[486, 22])).
% 0.46/0.64 tff(488,plain,
% 0.46/0.64 (multiply(multiply(sk_c1, sk_c7), sk_c7) = multiply(sk_c8, sk_c7)),
% 0.46/0.64 inference(monotonicity,[status(thm)],[461])).
% 0.46/0.64 tff(489,plain,
% 0.46/0.64 (multiply(sk_c8, sk_c7) = multiply(multiply(sk_c1, sk_c7), sk_c7)),
% 0.46/0.64 inference(symmetry,[status(thm)],[488])).
% 0.46/0.64 tff(490,plain,
% 0.46/0.64 (multiply(sk_c8, sk_c7) = multiply(sk_c1, multiply(sk_c7, sk_c7))),
% 0.46/0.64 inference(transitivity,[status(thm)],[489, 487])).
% 0.46/0.64 tff(491,plain,
% 0.46/0.64 (multiply(sk_c7, multiply(sk_c8, sk_c7)) = multiply(sk_c7, multiply(sk_c1, multiply(sk_c7, sk_c7)))),
% 0.46/0.64 inference(monotonicity,[status(thm)],[490])).
% 0.46/0.64 tff(492,plain,
% 0.46/0.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c8), sk_c7) = multiply(sk_c7, multiply(sk_c8, sk_c7)))),
% 0.46/0.64 inference(quant_inst,[status(thm)],[])).
% 0.46/0.64 tff(493,plain,
% 0.46/0.64 (multiply(multiply(sk_c7, sk_c8), sk_c7) = multiply(sk_c7, multiply(sk_c8, sk_c7))),
% 0.46/0.64 inference(unit_resolution,[status(thm)],[492, 22])).
% 0.46/0.64 tff(494,plain,
% 0.46/0.64 (inverse(sk_c7) = multiply(sk_c7, sk_c8)),
% 0.46/0.64 inference(transitivity,[status(thm)],[361, 106])).
% 0.46/0.64 tff(495,plain,
% 0.46/0.64 (multiply(inverse(sk_c7), sk_c7) = multiply(multiply(sk_c7, sk_c8), sk_c7)),
% 0.46/0.64 inference(monotonicity,[status(thm)],[494])).
% 0.46/0.64 tff(496,plain,
% 0.46/0.64 (multiply(sk_c6, sk_c8) = multiply(inverse(sk_c7), sk_c7)),
% 0.46/0.64 inference(monotonicity,[status(thm)],[405, 230])).
% 0.46/0.64 tff(497,plain,
% 0.46/0.64 (multiply(sk_c6, sk_c8) = sk_c7),
% 0.46/0.64 inference(transitivity,[status(thm)],[496, 495, 493, 491, 485, 482, 481, 478, 468, 463, 457, 456, 33])).
% 0.46/0.64 tff(498,plain,
% 0.46/0.64 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)))),
% 0.46/0.64 inference(rewrite,[status(thm)],[])).
% 0.46/0.64 tff(499,plain,
% 0.46/0.64 (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)))),
% 0.46/0.64 inference(rewrite,[status(thm)],[])).
% 0.46/0.64 tff(500,plain,
% 0.46/0.64 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7))))),
% 0.46/0.64 inference(monotonicity,[status(thm)],[499])).
% 0.46/0.64 tff(501,plain,
% 0.46/0.64 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)))),
% 0.46/0.64 inference(transitivity,[status(thm)],[500, 498])).
% 0.46/0.64 tff(502,plain,
% 0.46/0.64 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)))),
% 0.46/0.64 inference(quant_inst,[status(thm)],[])).
% 0.46/0.64 tff(503,plain,
% 0.46/0.64 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7))),
% 0.46/0.64 inference(modus_ponens,[status(thm)],[502, 501])).
% 0.46/0.64 tff(504,plain,
% 0.46/0.64 ((~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7))),
% 0.46/0.64 inference(unit_resolution,[status(thm)],[503, 3, 361, 209])).
% 0.46/0.64 tff(505,plain,
% 0.46/0.64 ($false),
% 0.46/0.64 inference(unit_resolution,[status(thm)],[504, 471, 475, 497, 477, 476, 472])).
% 0.46/0.64 tff(506,plain,(multiply(sk_c4, sk_c7) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 0.46/0.64 tff(507,assumption,(~(multiply(sk_c6, sk_c8) = sk_c7)), introduced(assumption)).
% 0.46/0.64 tff(508,plain,
% 0.46/0.64 (((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c6, sk_c8) = sk_c7)) <=> ((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c6, sk_c8) = sk_c7))),
% 0.46/0.64 inference(rewrite,[status(thm)],[])).
% 0.46/0.64 tff(509,axiom,((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c6, sk_c8) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_3')).
% 0.46/0.64 tff(510,plain,
% 0.46/0.64 ((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c6, sk_c8) = sk_c7)),
% 0.46/0.64 inference(modus_ponens,[status(thm)],[509, 508])).
% 0.46/0.64 tff(511,plain,
% 0.46/0.64 (multiply(sk_c1, sk_c7) = sk_c8),
% 0.46/0.64 inference(unit_resolution,[status(thm)],[510, 507])).
% 0.46/0.64 tff(512,plain,
% 0.46/0.64 (sk_c8 = multiply(sk_c1, sk_c7)),
% 0.46/0.64 inference(symmetry,[status(thm)],[511])).
% 0.46/0.64 tff(513,plain,
% 0.46/0.64 (multiply(sk_c7, sk_c8) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 0.46/0.64 inference(monotonicity,[status(thm)],[512])).
% 0.46/0.64 tff(514,plain,
% 0.46/0.64 (((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c6, sk_c8) = sk_c7)) <=> ((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c6, sk_c8) = sk_c7))),
% 0.46/0.64 inference(rewrite,[status(thm)],[])).
% 0.46/0.64 tff(515,axiom,((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c6, sk_c8) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_21')).
% 0.46/0.64 tff(516,plain,
% 0.46/0.64 ((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c6, sk_c8) = sk_c7)),
% 0.46/0.64 inference(modus_ponens,[status(thm)],[515, 514])).
% 0.46/0.64 tff(517,plain,
% 0.46/0.64 (multiply(sk_c2, sk_c8) = sk_c3),
% 0.46/0.64 inference(unit_resolution,[status(thm)],[516, 507])).
% 0.46/0.64 tff(518,plain,
% 0.46/0.64 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = multiply(sk_c8, sk_c3)),
% 0.46/0.64 inference(monotonicity,[status(thm)],[517])).
% 0.46/0.64 tff(519,plain,
% 0.46/0.64 (multiply(sk_c8, sk_c3) = multiply(sk_c8, multiply(sk_c2, sk_c8))),
% 0.46/0.64 inference(symmetry,[status(thm)],[518])).
% 0.46/0.64 tff(520,plain,
% 0.46/0.64 (((multiply(sk_c6, sk_c8) = sk_c7) | (multiply(sk_c8, sk_c3) = sk_c7)) <=> ((multiply(sk_c6, sk_c8) = sk_c7) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 0.46/0.64 inference(rewrite,[status(thm)],[])).
% 0.46/0.64 tff(521,plain,
% 0.46/0.64 (((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c6, sk_c8) = sk_c7)) <=> ((multiply(sk_c6, sk_c8) = sk_c7) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 0.46/0.64 inference(rewrite,[status(thm)],[])).
% 0.46/0.64 tff(522,axiom,((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c6, sk_c8) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_15')).
% 0.46/0.64 tff(523,plain,
% 0.46/0.64 ((multiply(sk_c6, sk_c8) = sk_c7) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 0.46/0.64 inference(modus_ponens,[status(thm)],[522, 521])).
% 0.46/0.64 tff(524,plain,
% 0.46/0.64 ((multiply(sk_c6, sk_c8) = sk_c7) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 0.46/0.64 inference(modus_ponens,[status(thm)],[523, 520])).
% 0.46/0.64 tff(525,plain,
% 0.46/0.64 (multiply(sk_c8, sk_c3) = sk_c7),
% 0.46/0.64 inference(unit_resolution,[status(thm)],[524, 507])).
% 0.46/0.64 tff(526,plain,
% 0.46/0.64 (sk_c7 = multiply(sk_c8, sk_c3)),
% 0.46/0.64 inference(symmetry,[status(thm)],[525])).
% 0.46/0.64 tff(527,plain,
% 0.46/0.64 (sk_c7 = sk_c8),
% 0.46/0.64 inference(transitivity,[status(thm)],[526, 519, 354, 464, 228])).
% 0.46/0.64 tff(528,plain,
% 0.46/0.64 (multiply(sk_c7, sk_c7) = multiply(sk_c7, sk_c8)),
% 0.46/0.64 inference(monotonicity,[status(thm)],[527])).
% 0.46/0.64 tff(529,plain,
% 0.46/0.64 (inverse(sk_c7) = sk_c7),
% 0.46/0.64 inference(transitivity,[status(thm)],[361, 106, 513, 457, 456, 33])).
% 0.46/0.64 tff(530,plain,
% 0.46/0.64 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c7, sk_c7)),
% 0.46/0.64 inference(monotonicity,[status(thm)],[529])).
% 0.46/0.64 tff(531,plain,
% 0.46/0.64 (sk_c8 = sk_c7),
% 0.46/0.64 inference(transitivity,[status(thm)],[229, 226, 24, 518, 525])).
% 0.46/0.64 tff(532,plain,
% 0.46/0.64 (multiply(sk_c6, sk_c8) = multiply(inverse(sk_c7), sk_c7)),
% 0.46/0.64 inference(monotonicity,[status(thm)],[405, 531])).
% 0.46/0.64 tff(533,plain,
% 0.46/0.64 (multiply(sk_c6, sk_c8) = sk_c7),
% 0.46/0.64 inference(transitivity,[status(thm)],[532, 530, 528, 513, 457, 456, 33])).
% 0.46/0.64 tff(534,plain,
% 0.46/0.64 ($false),
% 0.46/0.64 inference(unit_resolution,[status(thm)],[507, 533])).
% 0.46/0.64 tff(535,plain,(multiply(sk_c6, sk_c8) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 0.46/0.65 tff(536,plain,
% 0.46/0.65 (multiply(sk_c6, sk_c8) = multiply(multiply(sk_c7, sk_c8), sk_c8)),
% 0.46/0.65 inference(monotonicity,[status(thm)],[106])).
% 0.46/0.65 tff(537,plain,
% 0.46/0.65 (multiply(multiply(sk_c7, sk_c8), sk_c8) = multiply(sk_c6, sk_c8)),
% 0.46/0.65 inference(symmetry,[status(thm)],[536])).
% 0.46/0.65 tff(538,plain,
% 0.46/0.65 (multiply(sk_c7, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c7, sk_c8), sk_c8)),
% 0.46/0.65 inference(symmetry,[status(thm)],[87])).
% 0.46/0.65 tff(539,plain,
% 0.46/0.65 (multiply(sk_c7, multiply(sk_c8, sk_c8)) = sk_c7),
% 0.46/0.65 inference(transitivity,[status(thm)],[538, 537, 535])).
% 0.46/0.65 tff(540,plain,
% 0.46/0.65 (multiply(sk_c4, multiply(sk_c7, multiply(sk_c8, sk_c8))) = multiply(sk_c4, sk_c7)),
% 0.46/0.65 inference(monotonicity,[status(thm)],[539])).
% 0.46/0.65 tff(541,plain,
% 0.46/0.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c7), multiply(sk_c8, sk_c8)) = multiply(sk_c4, multiply(sk_c7, multiply(sk_c8, sk_c8))))),
% 0.46/0.65 inference(quant_inst,[status(thm)],[])).
% 0.46/0.65 tff(542,plain,
% 0.46/0.65 (multiply(multiply(sk_c4, sk_c7), multiply(sk_c8, sk_c8)) = multiply(sk_c4, multiply(sk_c7, multiply(sk_c8, sk_c8)))),
% 0.46/0.65 inference(unit_resolution,[status(thm)],[541, 22])).
% 0.46/0.65 tff(543,plain,
% 0.46/0.65 (sk_c8 = multiply(sk_c4, sk_c7)),
% 0.46/0.65 inference(symmetry,[status(thm)],[506])).
% 0.46/0.65 tff(544,plain,
% 0.46/0.65 (multiply(sk_c8, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c4, sk_c7), multiply(sk_c8, sk_c8))),
% 0.46/0.65 inference(monotonicity,[status(thm)],[543])).
% 0.46/0.65 tff(545,plain,
% 0.46/0.65 (multiply(sk_c4, multiply(sk_c6, sk_c8)) = multiply(sk_c4, sk_c7)),
% 0.46/0.65 inference(monotonicity,[status(thm)],[535])).
% 0.46/0.65 tff(546,plain,
% 0.46/0.65 (multiply(sk_c4, sk_c7) = multiply(sk_c4, multiply(sk_c6, sk_c8))),
% 0.46/0.65 inference(symmetry,[status(thm)],[545])).
% 0.46/0.65 tff(547,plain,
% 0.46/0.65 (sk_c8 = multiply(multiply(sk_c4, sk_c6), sk_c8)),
% 0.46/0.65 inference(transitivity,[status(thm)],[543, 546, 420])).
% 0.46/0.65 tff(548,plain,
% 0.46/0.65 (multiply(sk_c8, sk_c8) = multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))),
% 0.46/0.65 inference(monotonicity,[status(thm)],[547])).
% 0.46/0.65 tff(549,plain,
% 0.46/0.65 (multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)) = multiply(sk_c8, sk_c8)),
% 0.46/0.65 inference(symmetry,[status(thm)],[548])).
% 0.46/0.65 tff(550,plain,
% 0.46/0.65 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c6, sk_c7)),
% 0.46/0.65 inference(symmetry,[status(thm)],[406])).
% 0.46/0.65 tff(551,plain,
% 0.46/0.65 (identity = multiply(sk_c6, sk_c7)),
% 0.46/0.65 inference(transitivity,[status(thm)],[114, 550])).
% 0.46/0.65 tff(552,plain,
% 0.46/0.65 (multiply(identity, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))) = multiply(multiply(sk_c6, sk_c7), multiply(sk_c8, sk_c8))),
% 0.46/0.65 inference(monotonicity,[status(thm)],[551, 549])).
% 0.46/0.65 tff(553,plain,
% 0.46/0.65 (multiply(multiply(sk_c6, sk_c7), multiply(sk_c8, sk_c8)) = multiply(identity, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))),
% 0.46/0.65 inference(symmetry,[status(thm)],[552])).
% 0.46/0.65 tff(554,plain,
% 0.46/0.65 (multiply(sk_c6, multiply(sk_c7, multiply(sk_c8, sk_c8))) = multiply(inverse(sk_c7), sk_c7)),
% 0.46/0.65 inference(monotonicity,[status(thm)],[405, 539])).
% 0.46/0.65 tff(555,plain,
% 0.46/0.65 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c8, sk_c8)))),
% 0.46/0.65 inference(symmetry,[status(thm)],[554])).
% 0.46/0.65 tff(556,plain,
% 0.46/0.65 (identity = multiply(sk_c8, sk_c8)),
% 0.46/0.65 inference(transitivity,[status(thm)],[114, 555, 85, 553, 71, 549])).
% 0.46/0.65 tff(557,plain,
% 0.46/0.65 (multiply(sk_c8, identity) = multiply(sk_c8, multiply(sk_c8, sk_c8))),
% 0.46/0.65 inference(monotonicity,[status(thm)],[556])).
% 0.46/0.65 tff(558,plain,
% 0.46/0.65 (multiply(sk_c8, multiply(sk_c7, sk_c1)) = multiply(sk_c8, identity)),
% 0.46/0.65 inference(monotonicity,[status(thm)],[455])).
% 0.46/0.65 tff(559,plain,
% 0.46/0.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c7), sk_c1) = multiply(sk_c8, multiply(sk_c7, sk_c1)))),
% 0.46/0.65 inference(quant_inst,[status(thm)],[])).
% 0.46/0.65 tff(560,plain,
% 0.46/0.65 (multiply(multiply(sk_c8, sk_c7), sk_c1) = multiply(sk_c8, multiply(sk_c7, sk_c1))),
% 0.46/0.65 inference(unit_resolution,[status(thm)],[559, 22])).
% 0.46/0.65 tff(561,plain,
% 0.46/0.65 (multiply(sk_c8, sk_c7) = multiply(multiply(sk_c4, sk_c7), sk_c7)),
% 0.46/0.65 inference(monotonicity,[status(thm)],[543])).
% 0.46/0.65 tff(562,plain,
% 0.46/0.65 (multiply(multiply(sk_c4, sk_c7), sk_c7) = multiply(sk_c8, sk_c7)),
% 0.46/0.65 inference(symmetry,[status(thm)],[561])).
% 0.46/0.65 tff(563,plain,
% 0.46/0.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c7), sk_c7) = multiply(sk_c4, multiply(sk_c7, sk_c7)))),
% 0.46/0.65 inference(quant_inst,[status(thm)],[])).
% 0.46/0.65 tff(564,plain,
% 0.46/0.65 (multiply(multiply(sk_c4, sk_c7), sk_c7) = multiply(sk_c4, multiply(sk_c7, sk_c7))),
% 0.46/0.65 inference(unit_resolution,[status(thm)],[563, 22])).
% 0.46/0.65 tff(565,plain,
% 0.46/0.65 (multiply(sk_c4, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c4, sk_c7), sk_c7)),
% 0.46/0.65 inference(symmetry,[status(thm)],[564])).
% 0.46/0.65 tff(566,plain,
% 0.46/0.65 (multiply(sk_c4, multiply(sk_c7, sk_c7)) = multiply(sk_c8, sk_c7)),
% 0.46/0.65 inference(transitivity,[status(thm)],[565, 562])).
% 0.46/0.65 tff(567,plain,
% 0.46/0.65 (multiply(multiply(sk_c4, multiply(sk_c7, sk_c7)), sk_c1) = multiply(multiply(sk_c8, sk_c7), sk_c1)),
% 0.46/0.65 inference(monotonicity,[status(thm)],[566])).
% 0.46/0.65 tff(568,plain,
% 0.46/0.65 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c4, multiply(sk_c7, sk_c7))) = multiply(sk_c4, multiply(sk_c7, sk_c7)))),
% 0.46/0.65 inference(quant_inst,[status(thm)],[])).
% 0.46/0.65 tff(569,plain,
% 0.46/0.65 (multiply(identity, multiply(sk_c4, multiply(sk_c7, sk_c7))) = multiply(sk_c4, multiply(sk_c7, sk_c7))),
% 0.46/0.65 inference(unit_resolution,[status(thm)],[568, 31])).
% 0.46/0.65 tff(570,plain,
% 0.46/0.65 (multiply(identity, multiply(sk_c4, multiply(sk_c7, sk_c7))) = multiply(multiply(sk_c6, sk_c7), multiply(sk_c4, multiply(sk_c7, sk_c7)))),
% 0.46/0.65 inference(monotonicity,[status(thm)],[551])).
% 0.46/0.65 tff(571,plain,
% 0.46/0.65 (multiply(multiply(sk_c6, sk_c7), multiply(sk_c4, multiply(sk_c7, sk_c7))) = multiply(identity, multiply(sk_c4, multiply(sk_c7, sk_c7)))),
% 0.46/0.65 inference(symmetry,[status(thm)],[570])).
% 0.46/0.65 tff(572,plain,
% 0.46/0.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), multiply(sk_c4, multiply(sk_c7, sk_c7))) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c7)))))),
% 0.46/0.65 inference(quant_inst,[status(thm)],[])).
% 0.46/0.65 tff(573,plain,
% 0.46/0.65 (multiply(multiply(sk_c6, sk_c7), multiply(sk_c4, multiply(sk_c7, sk_c7))) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c7))))),
% 0.46/0.65 inference(unit_resolution,[status(thm)],[572, 22])).
% 0.46/0.65 tff(574,plain,
% 0.46/0.65 (multiply(sk_c6, multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c7)))) = multiply(multiply(sk_c6, sk_c7), multiply(sk_c4, multiply(sk_c7, sk_c7)))),
% 0.46/0.65 inference(symmetry,[status(thm)],[573])).
% 0.46/0.65 tff(575,plain,
% 0.46/0.65 (multiply(sk_c7, multiply(sk_c4, sk_c7)) = multiply(sk_c7, sk_c8)),
% 0.46/0.65 inference(monotonicity,[status(thm)],[506])).
% 0.46/0.65 tff(576,plain,
% 0.46/0.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(sk_c7, multiply(sk_c4, sk_c7)))),
% 0.46/0.65 inference(quant_inst,[status(thm)],[])).
% 0.46/0.65 tff(577,plain,
% 0.46/0.65 (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(sk_c7, multiply(sk_c4, sk_c7))),
% 0.46/0.65 inference(unit_resolution,[status(thm)],[576, 22])).
% 0.46/0.65 tff(578,plain,
% 0.46/0.65 (multiply(multiply(sk_c7, sk_c4), sk_c7) = inverse(sk_c7)),
% 0.46/0.65 inference(transitivity,[status(thm)],[577, 575, 3, 405])).
% 0.46/0.65 tff(579,plain,
% 0.46/0.65 (multiply(multiply(multiply(sk_c7, sk_c4), sk_c7), sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 0.46/0.65 inference(monotonicity,[status(thm)],[578])).
% 0.46/0.65 tff(580,plain,
% 0.46/0.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c4), sk_c7), sk_c7) = multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c7)))),
% 0.46/0.65 inference(quant_inst,[status(thm)],[])).
% 0.46/0.65 tff(581,plain,
% 0.46/0.65 (multiply(multiply(multiply(sk_c7, sk_c4), sk_c7), sk_c7) = multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c7))),
% 0.46/0.65 inference(unit_resolution,[status(thm)],[580, 22])).
% 0.46/0.65 tff(582,plain,
% 0.46/0.65 (multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c7)) = multiply(multiply(multiply(sk_c7, sk_c4), sk_c7), sk_c7)),
% 0.46/0.65 inference(symmetry,[status(thm)],[581])).
% 0.46/0.65 tff(583,plain,
% 0.46/0.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c7)) = multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c7))))),
% 0.46/0.65 inference(quant_inst,[status(thm)],[])).
% 0.46/0.65 tff(584,plain,
% 0.46/0.65 (multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c7)) = multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c7)))),
% 0.46/0.65 inference(unit_resolution,[status(thm)],[583, 22])).
% 0.46/0.65 tff(585,plain,
% 0.46/0.65 (multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c7))) = multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c7))),
% 0.46/0.65 inference(symmetry,[status(thm)],[584])).
% 0.46/0.65 tff(586,plain,
% 0.46/0.65 (multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c7))) = multiply(sk_c8, sk_c2)),
% 0.46/0.65 inference(transitivity,[status(thm)],[585, 582, 579, 74, 224, 221])).
% 0.46/0.65 tff(587,plain,
% 0.46/0.65 (multiply(sk_c6, multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c7)))) = multiply(sk_c6, multiply(sk_c8, sk_c2))),
% 0.46/0.65 inference(monotonicity,[status(thm)],[586])).
% 0.46/0.65 tff(588,plain,
% 0.46/0.65 (multiply(sk_c6, multiply(sk_c8, sk_c2)) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c7))))),
% 0.46/0.65 inference(symmetry,[status(thm)],[587])).
% 0.46/0.65 tff(589,plain,
% 0.46/0.65 (multiply(sk_c6, multiply(sk_c8, sk_c2)) = multiply(sk_c4, multiply(sk_c7, sk_c7))),
% 0.46/0.65 inference(transitivity,[status(thm)],[588, 574, 571, 569])).
% 0.46/0.65 tff(590,plain,
% 0.46/0.65 (multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), sk_c1) = multiply(multiply(sk_c4, multiply(sk_c7, sk_c7)), sk_c1)),
% 0.46/0.65 inference(monotonicity,[status(thm)],[589])).
% 0.46/0.65 tff(591,plain,
% 0.46/0.65 (multiply(identity, sk_c1) = multiply(multiply(sk_c6, sk_c7), sk_c1)),
% 0.46/0.65 inference(monotonicity,[status(thm)],[551])).
% 0.46/0.65 tff(592,plain,
% 0.46/0.65 (multiply(multiply(sk_c6, sk_c7), sk_c1) = multiply(identity, sk_c1)),
% 0.46/0.65 inference(symmetry,[status(thm)],[591])).
% 0.46/0.65 tff(593,plain,
% 0.46/0.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), sk_c1) = multiply(sk_c6, multiply(sk_c7, sk_c1)))),
% 0.46/0.65 inference(quant_inst,[status(thm)],[])).
% 0.46/0.65 tff(594,plain,
% 0.46/0.65 (multiply(multiply(sk_c6, sk_c7), sk_c1) = multiply(sk_c6, multiply(sk_c7, sk_c1))),
% 0.46/0.65 inference(unit_resolution,[status(thm)],[593, 22])).
% 0.46/0.65 tff(595,plain,
% 0.46/0.65 (multiply(sk_c6, multiply(sk_c7, sk_c1)) = multiply(multiply(sk_c6, sk_c7), sk_c1)),
% 0.46/0.65 inference(symmetry,[status(thm)],[594])).
% 0.46/0.65 tff(596,plain,
% 0.46/0.65 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c7, sk_c1)),
% 0.46/0.65 inference(symmetry,[status(thm)],[454])).
% 0.46/0.65 tff(597,plain,
% 0.46/0.65 (multiply(sk_c8, sk_c2) = multiply(sk_c7, sk_c1)),
% 0.46/0.65 inference(transitivity,[status(thm)],[220, 223, 351, 596])).
% 0.46/0.65 tff(598,plain,
% 0.46/0.65 (multiply(sk_c6, multiply(sk_c8, sk_c2)) = multiply(sk_c6, multiply(sk_c7, sk_c1))),
% 0.46/0.65 inference(monotonicity,[status(thm)],[597])).
% 0.46/0.65 tff(599,plain,
% 0.46/0.65 (multiply(sk_c6, multiply(sk_c6, sk_c8)) = multiply(inverse(sk_c7), sk_c7)),
% 0.46/0.65 inference(monotonicity,[status(thm)],[405, 535])).
% 0.46/0.65 tff(600,plain,
% 0.46/0.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c6), sk_c8) = multiply(sk_c6, multiply(sk_c6, sk_c8)))),
% 0.46/0.65 inference(quant_inst,[status(thm)],[])).
% 0.46/0.65 tff(601,plain,
% 0.46/0.65 (multiply(multiply(sk_c6, sk_c6), sk_c8) = multiply(sk_c6, multiply(sk_c6, sk_c8))),
% 0.46/0.65 inference(unit_resolution,[status(thm)],[600, 22])).
% 0.46/0.65 tff(602,plain,
% 0.46/0.65 (multiply(multiply(sk_c6, sk_c6), sk_c8) = multiply(sk_c8, sk_c2)),
% 0.46/0.65 inference(transitivity,[status(thm)],[601, 599, 74, 224, 221])).
% 0.46/0.65 tff(603,plain,
% 0.46/0.65 (multiply(sk_c6, multiply(multiply(sk_c6, sk_c6), sk_c8)) = multiply(sk_c6, multiply(sk_c8, sk_c2))),
% 0.46/0.65 inference(monotonicity,[status(thm)],[602])).
% 0.46/0.65 tff(604,plain,
% 0.46/0.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c6, sk_c6)), sk_c8) = multiply(sk_c6, multiply(multiply(sk_c6, sk_c6), sk_c8)))),
% 0.46/0.65 inference(quant_inst,[status(thm)],[])).
% 0.46/0.65 tff(605,plain,
% 0.46/0.65 (multiply(multiply(sk_c6, multiply(sk_c6, sk_c6)), sk_c8) = multiply(sk_c6, multiply(multiply(sk_c6, sk_c6), sk_c8))),
% 0.46/0.65 inference(unit_resolution,[status(thm)],[604, 22])).
% 0.46/0.65 tff(606,plain,
% 0.46/0.65 (multiply(sk_c8, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))) = multiply(sk_c8, multiply(sk_c8, sk_c8))),
% 0.46/0.65 inference(monotonicity,[status(thm)],[549])).
% 0.46/0.65 tff(607,plain,
% 0.46/0.65 (multiply(sk_c8, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))) = sk_c8),
% 0.46/0.65 inference(transitivity,[status(thm)],[606, 544, 542, 540, 506])).
% 0.46/0.65 tff(608,plain,
% 0.46/0.65 (multiply(multiply(sk_c6, multiply(sk_c6, sk_c6)), multiply(sk_c8, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))) = multiply(multiply(sk_c6, multiply(sk_c6, sk_c6)), sk_c8)),
% 0.46/0.65 inference(monotonicity,[status(thm)],[607])).
% 0.46/0.65 tff(609,plain,
% 0.46/0.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c6, sk_c6)), sk_c8), multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))) = multiply(multiply(sk_c6, multiply(sk_c6, sk_c6)), multiply(sk_c8, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))))),
% 0.46/0.65 inference(quant_inst,[status(thm)],[])).
% 0.46/0.65 tff(610,plain,
% 0.46/0.65 (multiply(multiply(multiply(sk_c6, multiply(sk_c6, sk_c6)), sk_c8), multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))) = multiply(multiply(sk_c6, multiply(sk_c6, sk_c6)), multiply(sk_c8, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))))),
% 0.46/0.65 inference(unit_resolution,[status(thm)],[609, 22])).
% 0.46/0.65 tff(611,plain,
% 0.46/0.65 (multiply(sk_c6, multiply(multiply(sk_c6, sk_c6), sk_c8)) = multiply(multiply(sk_c6, multiply(sk_c6, sk_c6)), sk_c8)),
% 0.46/0.65 inference(symmetry,[status(thm)],[605])).
% 0.46/0.65 tff(612,plain,
% 0.46/0.65 (multiply(sk_c6, multiply(sk_c8, sk_c2)) = multiply(sk_c6, multiply(multiply(sk_c6, sk_c6), sk_c8))),
% 0.46/0.65 inference(symmetry,[status(thm)],[603])).
% 0.46/0.65 tff(613,plain,
% 0.46/0.65 (sk_c7 = multiply(sk_c6, sk_c8)),
% 0.46/0.65 inference(symmetry,[status(thm)],[535])).
% 0.46/0.65 tff(614,plain,
% 0.46/0.65 (multiply(sk_c7, sk_c7) = multiply(multiply(sk_c6, sk_c8), sk_c7)),
% 0.46/0.65 inference(monotonicity,[status(thm)],[613])).
% 0.46/0.65 tff(615,plain,
% 0.46/0.65 (multiply(multiply(sk_c6, sk_c8), sk_c7) = multiply(sk_c7, sk_c7)),
% 0.46/0.65 inference(symmetry,[status(thm)],[614])).
% 0.46/0.65 tff(616,plain,
% 0.46/0.65 (multiply(sk_c6, multiply(sk_c8, sk_c7)) = multiply(multiply(sk_c6, sk_c8), sk_c7)),
% 0.46/0.65 inference(symmetry,[status(thm)],[438])).
% 0.46/0.65 tff(617,plain,
% 0.46/0.65 (multiply(sk_c6, multiply(sk_c8, sk_c7)) = multiply(sk_c7, sk_c7)),
% 0.46/0.65 inference(transitivity,[status(thm)],[616, 615])).
% 0.46/0.65 tff(618,plain,
% 0.46/0.65 (multiply(sk_c7, sk_c4) = multiply(multiply(sk_c6, sk_c8), sk_c4)),
% 0.46/0.65 inference(monotonicity,[status(thm)],[613])).
% 0.46/0.65 tff(619,plain,
% 0.46/0.65 (multiply(multiply(sk_c6, sk_c8), sk_c4) = multiply(sk_c7, sk_c4)),
% 0.46/0.65 inference(symmetry,[status(thm)],[618])).
% 0.46/0.65 tff(620,plain,
% 0.46/0.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c8), sk_c4) = multiply(sk_c6, multiply(sk_c8, sk_c4)))),
% 0.46/0.65 inference(quant_inst,[status(thm)],[])).
% 0.46/0.65 tff(621,plain,
% 0.46/0.65 (multiply(multiply(sk_c6, sk_c8), sk_c4) = multiply(sk_c6, multiply(sk_c8, sk_c4))),
% 0.46/0.65 inference(unit_resolution,[status(thm)],[620, 22])).
% 0.46/0.65 tff(622,plain,
% 0.46/0.65 (multiply(sk_c6, multiply(sk_c8, sk_c4)) = multiply(multiply(sk_c6, sk_c8), sk_c4)),
% 0.46/0.65 inference(symmetry,[status(thm)],[621])).
% 0.46/0.65 tff(623,plain,
% 0.46/0.65 (multiply(sk_c6, multiply(sk_c8, sk_c4)) = multiply(sk_c7, sk_c4)),
% 0.46/0.65 inference(transitivity,[status(thm)],[622, 619])).
% 0.46/0.65 tff(624,plain,
% 0.46/0.65 (multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), multiply(sk_c6, multiply(sk_c8, sk_c7))) = multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c7))),
% 0.46/0.65 inference(monotonicity,[status(thm)],[623, 617])).
% 0.46/0.65 tff(625,plain,
% 0.46/0.65 (multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), multiply(sk_c6, multiply(sk_c8, sk_c7))) = multiply(sk_c8, sk_c2)),
% 0.46/0.65 inference(transitivity,[status(thm)],[624, 582, 579, 74, 224, 221])).
% 0.46/0.65 tff(626,plain,
% 0.46/0.65 (multiply(sk_c6, multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), multiply(sk_c6, multiply(sk_c8, sk_c7)))) = multiply(sk_c6, multiply(sk_c8, sk_c2))),
% 0.46/0.65 inference(monotonicity,[status(thm)],[625])).
% 0.46/0.65 tff(627,plain,
% 0.46/0.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c8, sk_c4))), multiply(sk_c6, multiply(sk_c8, sk_c7))) = multiply(sk_c6, multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), multiply(sk_c6, multiply(sk_c8, sk_c7)))))),
% 0.46/0.65 inference(quant_inst,[status(thm)],[])).
% 0.46/0.65 tff(628,plain,
% 0.46/0.65 (multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c8, sk_c4))), multiply(sk_c6, multiply(sk_c8, sk_c7))) = multiply(sk_c6, multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), multiply(sk_c6, multiply(sk_c8, sk_c7))))),
% 0.46/0.65 inference(unit_resolution,[status(thm)],[627, 22])).
% 0.46/0.65 tff(629,plain,
% 0.46/0.65 (multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c8, sk_c4))), multiply(sk_c6, multiply(sk_c8, sk_c7))) = multiply(multiply(sk_c6, multiply(sk_c6, sk_c6)), sk_c8)),
% 0.46/0.65 inference(transitivity,[status(thm)],[628, 626, 612, 611])).
% 0.46/0.65 tff(630,plain,
% 0.46/0.65 (multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c8, sk_c4))), multiply(sk_c6, multiply(sk_c8, sk_c7))), multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))) = multiply(multiply(multiply(sk_c6, multiply(sk_c6, sk_c6)), sk_c8), multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))),
% 0.46/0.65 inference(monotonicity,[status(thm)],[629])).
% 0.46/0.65 tff(631,plain,
% 0.46/0.65 (multiply(sk_c6, multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), multiply(sk_c6, multiply(sk_c8, sk_c7)))) = multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c8, sk_c4))), multiply(sk_c6, multiply(sk_c8, sk_c7)))),
% 0.46/0.65 inference(symmetry,[status(thm)],[628])).
% 0.46/0.65 tff(632,plain,
% 0.46/0.65 (multiply(sk_c6, multiply(sk_c8, sk_c2)) = multiply(sk_c6, multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), multiply(sk_c6, multiply(sk_c8, sk_c7))))),
% 0.46/0.65 inference(symmetry,[status(thm)],[626])).
% 0.46/0.65 tff(633,plain,
% 0.46/0.65 (multiply(sk_c6, identity) = multiply(sk_c6, multiply(sk_c8, sk_c2))),
% 0.46/0.65 inference(monotonicity,[status(thm)],[225])).
% 0.46/0.65 tff(634,plain,
% 0.46/0.65 (multiply(sk_c6, identity) = multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c8, sk_c4))), multiply(sk_c6, multiply(sk_c8, sk_c7)))),
% 0.46/0.65 inference(transitivity,[status(thm)],[633, 632, 631])).
% 0.46/0.65 tff(635,plain,
% 0.46/0.65 (multiply(multiply(sk_c6, identity), multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))) = multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c8, sk_c4))), multiply(sk_c6, multiply(sk_c8, sk_c7))), multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))),
% 0.46/0.65 inference(monotonicity,[status(thm)],[634])).
% 0.46/0.65 tff(636,plain,
% 0.46/0.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, identity), multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))) = multiply(sk_c6, multiply(identity, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))))),
% 0.46/0.65 inference(quant_inst,[status(thm)],[])).
% 0.46/0.65 tff(637,plain,
% 0.46/0.65 (multiply(multiply(sk_c6, identity), multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))) = multiply(sk_c6, multiply(identity, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))))),
% 0.46/0.65 inference(unit_resolution,[status(thm)],[636, 22])).
% 0.46/0.65 tff(638,plain,
% 0.46/0.65 (multiply(sk_c6, multiply(identity, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))) = multiply(multiply(sk_c6, identity), multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))),
% 0.46/0.65 inference(symmetry,[status(thm)],[637])).
% 0.46/0.65 tff(639,plain,
% 0.46/0.65 (multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)) = multiply(identity, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))),
% 0.46/0.65 inference(symmetry,[status(thm)],[71])).
% 0.46/0.65 tff(640,plain,
% 0.46/0.65 (multiply(sk_c8, sk_c8) = multiply(identity, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))),
% 0.46/0.65 inference(transitivity,[status(thm)],[548, 639])).
% 0.46/0.65 tff(641,plain,
% 0.46/0.65 (multiply(sk_c6, multiply(sk_c8, sk_c8)) = multiply(sk_c6, multiply(identity, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))))),
% 0.46/0.65 inference(monotonicity,[status(thm)],[640])).
% 0.46/0.65 tff(642,plain,
% 0.46/0.65 (multiply(sk_c7, sk_c8) = multiply(multiply(sk_c6, sk_c8), sk_c8)),
% 0.46/0.65 inference(monotonicity,[status(thm)],[613])).
% 0.46/0.65 tff(643,plain,
% 0.46/0.65 (sk_c7 = multiply(sk_c7, multiply(sk_c8, sk_c8))),
% 0.46/0.65 inference(transitivity,[status(thm)],[613, 89, 87])).
% 0.46/0.65 tff(644,plain,
% 0.46/0.65 (multiply(sk_c4, sk_c7) = multiply(sk_c4, multiply(sk_c7, multiply(sk_c8, sk_c8)))),
% 0.46/0.65 inference(monotonicity,[status(thm)],[643])).
% 0.46/0.65 tff(645,plain,
% 0.46/0.65 (multiply(sk_c4, multiply(sk_c7, multiply(sk_c8, sk_c8))) = multiply(sk_c4, sk_c7)),
% 0.46/0.65 inference(symmetry,[status(thm)],[644])).
% 0.46/0.65 tff(646,plain,
% 0.46/0.65 (multiply(multiply(sk_c4, sk_c7), multiply(sk_c8, sk_c8)) = multiply(sk_c8, multiply(sk_c8, sk_c8))),
% 0.46/0.65 inference(monotonicity,[status(thm)],[506])).
% 0.46/0.65 tff(647,plain,
% 0.46/0.65 (multiply(sk_c8, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c4, sk_c7), multiply(sk_c8, sk_c8))),
% 0.46/0.65 inference(symmetry,[status(thm)],[646])).
% 0.46/0.65 tff(648,plain,
% 0.46/0.65 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c8, sk_c8)))),
% 0.46/0.65 inference(monotonicity,[status(thm)],[361, 643])).
% 0.46/0.65 tff(649,plain,
% 0.46/0.65 (multiply(sk_c6, multiply(sk_c7, multiply(sk_c8, sk_c8))) = multiply(inverse(sk_c7), sk_c7)),
% 0.46/0.65 inference(symmetry,[status(thm)],[648])).
% 0.46/0.65 tff(650,plain,
% 0.46/0.65 (multiply(multiply(sk_c4, sk_c6), sk_c8) = sk_c8),
% 0.46/0.65 inference(transitivity,[status(thm)],[67, 545, 506])).
% 0.46/0.65 tff(651,plain,
% 0.46/0.65 (multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)) = multiply(sk_c8, sk_c8)),
% 0.46/0.65 inference(monotonicity,[status(thm)],[650])).
% 0.46/0.65 tff(652,plain,
% 0.46/0.65 (multiply(sk_c8, sk_c8) = multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))),
% 0.46/0.65 inference(symmetry,[status(thm)],[651])).
% 0.46/0.65 tff(653,plain,
% 0.46/0.65 (multiply(multiply(sk_c6, sk_c7), multiply(sk_c8, sk_c8)) = multiply(identity, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))),
% 0.46/0.65 inference(monotonicity,[status(thm)],[407, 652])).
% 0.46/0.65 tff(654,plain,
% 0.46/0.65 (multiply(identity, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))) = multiply(multiply(sk_c6, sk_c7), multiply(sk_c8, sk_c8))),
% 0.46/0.65 inference(symmetry,[status(thm)],[653])).
% 0.46/0.65 tff(655,plain,
% 0.46/0.65 (multiply(sk_c8, sk_c8) = identity),
% 0.46/0.65 inference(transitivity,[status(thm)],[652, 639, 654, 84, 649, 74])).
% 0.46/0.65 tff(656,plain,
% 0.46/0.65 (multiply(sk_c8, multiply(sk_c8, sk_c8)) = multiply(sk_c8, identity)),
% 0.46/0.65 inference(monotonicity,[status(thm)],[655])).
% 0.46/0.65 tff(657,plain,
% 0.46/0.65 (multiply(sk_c8, identity) = multiply(sk_c8, multiply(sk_c8, sk_c8))),
% 0.46/0.65 inference(symmetry,[status(thm)],[656])).
% 0.46/0.65 tff(658,plain,
% 0.46/0.65 (identity = multiply(sk_c7, sk_c1)),
% 0.46/0.65 inference(transitivity,[status(thm)],[351, 596])).
% 0.46/0.65 tff(659,plain,
% 0.46/0.65 (multiply(sk_c8, identity) = multiply(sk_c8, multiply(sk_c7, sk_c1))),
% 0.46/0.65 inference(monotonicity,[status(thm)],[658])).
% 0.46/0.65 tff(660,plain,
% 0.46/0.65 (multiply(sk_c8, multiply(sk_c7, sk_c1)) = multiply(sk_c8, identity)),
% 0.46/0.65 inference(symmetry,[status(thm)],[659])).
% 0.46/0.65 tff(661,plain,
% 0.46/0.65 (multiply(sk_c8, sk_c7) = multiply(sk_c4, multiply(sk_c7, sk_c7))),
% 0.46/0.65 inference(transitivity,[status(thm)],[561, 564])).
% 0.46/0.65 tff(662,plain,
% 0.46/0.65 (multiply(multiply(sk_c8, sk_c7), sk_c1) = multiply(multiply(sk_c4, multiply(sk_c7, sk_c7)), sk_c1)),
% 0.46/0.65 inference(monotonicity,[status(thm)],[661])).
% 0.46/0.65 tff(663,plain,
% 0.46/0.65 (multiply(multiply(sk_c4, multiply(sk_c7, sk_c7)), sk_c1) = multiply(multiply(sk_c8, sk_c7), sk_c1)),
% 0.46/0.66 inference(symmetry,[status(thm)],[662])).
% 0.46/0.66 tff(664,plain,
% 0.46/0.66 (multiply(sk_c4, multiply(sk_c7, sk_c7)) = multiply(identity, multiply(sk_c4, multiply(sk_c7, sk_c7)))),
% 0.46/0.66 inference(symmetry,[status(thm)],[569])).
% 0.46/0.66 tff(665,plain,
% 0.46/0.66 (multiply(sk_c4, multiply(sk_c7, sk_c7)) = multiply(sk_c6, multiply(sk_c8, sk_c2))),
% 0.46/0.66 inference(transitivity,[status(thm)],[664, 570, 573, 587])).
% 0.46/0.66 tff(666,plain,
% 0.46/0.66 (multiply(multiply(sk_c4, multiply(sk_c7, sk_c7)), sk_c1) = multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), sk_c1)),
% 0.46/0.66 inference(monotonicity,[status(thm)],[665])).
% 0.46/0.66 tff(667,plain,
% 0.46/0.66 (multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), sk_c1) = multiply(multiply(sk_c4, multiply(sk_c7, sk_c7)), sk_c1)),
% 0.46/0.66 inference(symmetry,[status(thm)],[666])).
% 0.46/0.66 tff(668,plain,
% 0.46/0.66 (multiply(multiply(sk_c6, sk_c8), sk_c8) = multiply(sk_c7, sk_c8)),
% 0.46/0.66 inference(symmetry,[status(thm)],[642])).
% 0.46/0.66 tff(669,plain,
% 0.46/0.66 (multiply(sk_c6, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c6, sk_c8), sk_c8)),
% 0.46/0.66 inference(symmetry,[status(thm)],[159])).
% 0.46/0.66 tff(670,plain,
% 0.46/0.66 (multiply(sk_c8, sk_c8) = multiply(identity, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))),
% 0.46/0.66 inference(transitivity,[status(thm)],[652, 639])).
% 0.46/0.66 tff(671,plain,
% 0.46/0.66 (multiply(sk_c6, multiply(sk_c8, sk_c8)) = multiply(sk_c6, multiply(identity, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))))),
% 0.46/0.66 inference(monotonicity,[status(thm)],[670])).
% 0.46/0.66 tff(672,plain,
% 0.46/0.66 (multiply(sk_c6, multiply(identity, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))) = multiply(sk_c6, multiply(sk_c8, sk_c8))),
% 0.46/0.66 inference(symmetry,[status(thm)],[671])).
% 0.46/0.66 tff(673,plain,
% 0.46/0.66 (multiply(multiply(sk_c6, sk_c8), sk_c7) = multiply(sk_c7, sk_c7)),
% 0.46/0.66 inference(monotonicity,[status(thm)],[535])).
% 0.46/0.66 tff(674,plain,
% 0.46/0.66 (multiply(sk_c6, multiply(sk_c8, sk_c7)) = multiply(sk_c7, sk_c7)),
% 0.46/0.66 inference(transitivity,[status(thm)],[616, 673])).
% 0.46/0.66 tff(675,plain,
% 0.46/0.66 (multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), multiply(sk_c6, multiply(sk_c8, sk_c7))) = multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c7))),
% 0.46/0.66 inference(monotonicity,[status(thm)],[623, 674])).
% 0.46/0.66 tff(676,plain,
% 0.46/0.66 (multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), multiply(sk_c6, multiply(sk_c8, sk_c7))) = multiply(sk_c8, sk_c2)),
% 0.46/0.66 inference(transitivity,[status(thm)],[675, 582, 579, 74, 224, 221])).
% 0.46/0.66 tff(677,plain,
% 0.46/0.66 (multiply(sk_c6, multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), multiply(sk_c6, multiply(sk_c8, sk_c7)))) = multiply(sk_c6, multiply(sk_c8, sk_c2))),
% 0.46/0.66 inference(monotonicity,[status(thm)],[676])).
% 0.46/0.66 tff(678,plain,
% 0.46/0.66 (multiply(sk_c6, multiply(sk_c8, sk_c2)) = multiply(sk_c6, multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), multiply(sk_c6, multiply(sk_c8, sk_c7))))),
% 0.46/0.66 inference(symmetry,[status(thm)],[677])).
% 0.46/0.66 tff(679,plain,
% 0.46/0.66 (multiply(sk_c6, identity) = multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c8, sk_c4))), multiply(sk_c6, multiply(sk_c8, sk_c7)))),
% 0.46/0.66 inference(transitivity,[status(thm)],[633, 678, 631])).
% 0.46/0.66 tff(680,plain,
% 0.46/0.66 (multiply(multiply(sk_c6, identity), multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))) = multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c8, sk_c4))), multiply(sk_c6, multiply(sk_c8, sk_c7))), multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))),
% 0.46/0.66 inference(monotonicity,[status(thm)],[679])).
% 0.46/0.66 tff(681,plain,
% 0.46/0.66 (multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c8, sk_c4))), multiply(sk_c6, multiply(sk_c8, sk_c7))), multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))) = multiply(multiply(sk_c6, identity), multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))),
% 0.46/0.66 inference(symmetry,[status(thm)],[680])).
% 0.46/0.66 tff(682,plain,
% 0.46/0.66 (multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c8, sk_c4))), multiply(sk_c6, multiply(sk_c8, sk_c7))) = multiply(multiply(sk_c6, multiply(sk_c6, sk_c6)), sk_c8)),
% 0.46/0.66 inference(transitivity,[status(thm)],[628, 677, 612, 611])).
% 0.46/0.66 tff(683,plain,
% 0.46/0.66 (multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c8, sk_c4))), multiply(sk_c6, multiply(sk_c8, sk_c7))), multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))) = multiply(multiply(multiply(sk_c6, multiply(sk_c6, sk_c6)), sk_c8), multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))),
% 0.46/0.66 inference(monotonicity,[status(thm)],[682])).
% 0.46/0.66 tff(684,plain,
% 0.46/0.66 (multiply(multiply(multiply(sk_c6, multiply(sk_c6, sk_c6)), sk_c8), multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))) = multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c8, sk_c4))), multiply(sk_c6, multiply(sk_c8, sk_c7))), multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))),
% 0.46/0.66 inference(symmetry,[status(thm)],[683])).
% 0.46/0.66 tff(685,plain,
% 0.46/0.66 (multiply(multiply(sk_c6, multiply(sk_c6, sk_c6)), multiply(sk_c8, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))) = multiply(multiply(multiply(sk_c6, multiply(sk_c6, sk_c6)), sk_c8), multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))),
% 0.46/0.66 inference(symmetry,[status(thm)],[610])).
% 0.46/0.66 tff(686,plain,
% 0.46/0.66 (multiply(sk_c8, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))) = multiply(sk_c8, multiply(sk_c8, sk_c8))),
% 0.46/0.66 inference(monotonicity,[status(thm)],[651])).
% 0.46/0.66 tff(687,plain,
% 0.46/0.66 (multiply(sk_c8, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))) = sk_c8),
% 0.46/0.66 inference(transitivity,[status(thm)],[686, 647, 542, 645, 506])).
% 0.46/0.66 tff(688,plain,
% 0.46/0.66 (multiply(multiply(sk_c6, multiply(sk_c6, sk_c6)), multiply(sk_c8, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))) = multiply(multiply(sk_c6, multiply(sk_c6, sk_c6)), sk_c8)),
% 0.46/0.66 inference(monotonicity,[status(thm)],[687])).
% 0.46/0.66 tff(689,plain,
% 0.46/0.66 (multiply(multiply(sk_c6, multiply(sk_c6, sk_c6)), sk_c8) = multiply(multiply(sk_c6, multiply(sk_c6, sk_c6)), multiply(sk_c8, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))))),
% 0.46/0.66 inference(symmetry,[status(thm)],[688])).
% 0.46/0.66 tff(690,plain,
% 0.46/0.66 (multiply(sk_c6, multiply(sk_c8, sk_c2)) = sk_c6),
% 0.46/0.66 inference(transitivity,[status(thm)],[612, 611, 689, 685, 684, 681, 637, 672, 669, 668, 3])).
% 0.46/0.66 tff(691,plain,
% 0.46/0.66 (multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), sk_c1) = multiply(sk_c6, sk_c1)),
% 0.46/0.66 inference(monotonicity,[status(thm)],[690])).
% 0.46/0.66 tff(692,plain,
% 0.46/0.66 (multiply(sk_c6, sk_c1) = multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), sk_c1)),
% 0.46/0.66 inference(symmetry,[status(thm)],[691])).
% 0.46/0.66 tff(693,plain,
% 0.46/0.66 (multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), sk_c7) = multiply(multiply(sk_c7, sk_c4), sk_c7)),
% 0.46/0.66 inference(monotonicity,[status(thm)],[623])).
% 0.46/0.66 tff(694,plain,
% 0.46/0.66 (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), sk_c7)),
% 0.46/0.66 inference(symmetry,[status(thm)],[693])).
% 0.46/0.66 tff(695,plain,
% 0.46/0.66 (multiply(sk_c7, multiply(sk_c4, sk_c7)) = multiply(multiply(sk_c7, sk_c4), sk_c7)),
% 0.46/0.66 inference(symmetry,[status(thm)],[577])).
% 0.46/0.66 tff(696,plain,
% 0.46/0.66 (multiply(sk_c7, sk_c8) = multiply(sk_c7, multiply(sk_c4, sk_c7))),
% 0.46/0.66 inference(symmetry,[status(thm)],[575])).
% 0.46/0.66 tff(697,plain,
% 0.46/0.66 (sk_c6 = multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), sk_c7)),
% 0.46/0.66 inference(transitivity,[status(thm)],[106, 696, 695, 694])).
% 0.46/0.66 tff(698,plain,
% 0.46/0.66 (multiply(sk_c6, sk_c1) = multiply(multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), sk_c7), sk_c1)),
% 0.46/0.66 inference(monotonicity,[status(thm)],[697])).
% 0.46/0.66 tff(699,plain,
% 0.46/0.66 (multiply(multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), sk_c7), sk_c1) = multiply(sk_c6, sk_c1)),
% 0.46/0.66 inference(symmetry,[status(thm)],[698])).
% 0.46/0.66 tff(700,plain,
% 0.46/0.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), sk_c7), sk_c1) = multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), multiply(sk_c7, sk_c1)))),
% 0.46/0.66 inference(quant_inst,[status(thm)],[])).
% 0.46/0.66 tff(701,plain,
% 0.46/0.66 (multiply(multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), sk_c7), sk_c1) = multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), multiply(sk_c7, sk_c1))),
% 0.46/0.66 inference(unit_resolution,[status(thm)],[700, 22])).
% 0.46/0.66 tff(702,plain,
% 0.46/0.66 (multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), multiply(sk_c7, sk_c1)) = multiply(multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), sk_c7), sk_c1)),
% 0.46/0.66 inference(symmetry,[status(thm)],[701])).
% 0.46/0.66 tff(703,plain,
% 0.46/0.66 (multiply(inverse(sk_c7), sk_c7) = multiply(multiply(multiply(sk_c7, sk_c4), sk_c7), sk_c7)),
% 0.46/0.66 inference(symmetry,[status(thm)],[579])).
% 0.46/0.66 tff(704,plain,
% 0.46/0.66 (multiply(sk_c7, sk_c1) = multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c7)))),
% 0.46/0.66 inference(transitivity,[status(thm)],[454, 235, 114, 703, 581, 584])).
% 0.46/0.66 tff(705,plain,
% 0.46/0.66 (multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), multiply(sk_c7, sk_c1)) = multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c7))))),
% 0.46/0.66 inference(monotonicity,[status(thm)],[704])).
% 0.46/0.66 tff(706,plain,
% 0.46/0.66 (multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c7)))) = multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), multiply(sk_c7, sk_c1))),
% 0.46/0.66 inference(symmetry,[status(thm)],[705])).
% 0.46/0.66 tff(707,plain,
% 0.46/0.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), sk_c7), multiply(sk_c4, multiply(sk_c7, sk_c7))) = multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c7)))))),
% 0.46/0.66 inference(quant_inst,[status(thm)],[])).
% 0.46/0.66 tff(708,plain,
% 0.46/0.66 (multiply(multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), sk_c7), multiply(sk_c4, multiply(sk_c7, sk_c7))) = multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c7))))),
% 0.46/0.66 inference(unit_resolution,[status(thm)],[707, 22])).
% 0.46/0.66 tff(709,plain,
% 0.46/0.66 (multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), sk_c7) = sk_c6),
% 0.46/0.66 inference(transitivity,[status(thm)],[693, 577, 575, 3])).
% 0.46/0.66 tff(710,plain,
% 0.46/0.66 (multiply(multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), sk_c7), multiply(sk_c4, multiply(sk_c7, sk_c7))) = multiply(sk_c6, multiply(sk_c8, sk_c7))),
% 0.46/0.66 inference(monotonicity,[status(thm)],[709, 566])).
% 0.46/0.66 tff(711,plain,
% 0.46/0.66 (multiply(sk_c6, multiply(sk_c8, sk_c7)) = multiply(multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), sk_c7), multiply(sk_c4, multiply(sk_c7, sk_c7)))),
% 0.46/0.66 inference(symmetry,[status(thm)],[710])).
% 0.46/0.66 tff(712,plain,
% 0.46/0.66 (multiply(sk_c7, sk_c7) = multiply(multiply(sk_c6, sk_c8), sk_c7)),
% 0.46/0.66 inference(symmetry,[status(thm)],[673])).
% 0.46/0.66 tff(713,plain,
% 0.46/0.66 (multiply(sk_c5, multiply(sk_c6, multiply(sk_c8, sk_c2))) = multiply(sk_c5, sk_c6)),
% 0.46/0.66 inference(monotonicity,[status(thm)],[690])).
% 0.46/0.66 tff(714,plain,
% 0.46/0.66 (multiply(sk_c5, sk_c6) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c8, sk_c2)))),
% 0.46/0.66 inference(symmetry,[status(thm)],[713])).
% 0.46/0.66 tff(715,assumption,(~(multiply(sk_c1, sk_c7) = sk_c8)), introduced(assumption)).
% 0.46/0.66 tff(716,plain,
% 0.46/0.66 (((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c5, sk_c6) = sk_c7)) <=> ((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c5, sk_c6) = sk_c7))),
% 0.46/0.66 inference(rewrite,[status(thm)],[])).
% 0.46/0.66 tff(717,axiom,((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c5, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_7')).
% 0.46/0.66 tff(718,plain,
% 0.46/0.66 ((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c5, sk_c6) = sk_c7)),
% 0.46/0.66 inference(modus_ponens,[status(thm)],[717, 716])).
% 0.46/0.66 tff(719,plain,
% 0.46/0.66 (multiply(sk_c5, sk_c6) = sk_c7),
% 0.46/0.66 inference(unit_resolution,[status(thm)],[718, 715])).
% 0.46/0.66 tff(720,plain,
% 0.46/0.66 (sk_c7 = multiply(sk_c5, sk_c6)),
% 0.46/0.66 inference(symmetry,[status(thm)],[719])).
% 0.46/0.66 tff(721,plain,
% 0.46/0.66 (sk_c7 = multiply(sk_c5, multiply(sk_c6, multiply(sk_c8, sk_c2)))),
% 0.46/0.66 inference(transitivity,[status(thm)],[720, 714])).
% 0.46/0.66 tff(722,plain,
% 0.46/0.66 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(sk_c5, multiply(sk_c6, multiply(sk_c8, sk_c2))))),
% 0.46/0.66 inference(monotonicity,[status(thm)],[721])).
% 0.46/0.66 tff(723,plain,
% 0.46/0.66 (multiply(sk_c7, multiply(sk_c5, multiply(sk_c6, multiply(sk_c8, sk_c2)))) = multiply(sk_c7, sk_c7)),
% 0.46/0.66 inference(symmetry,[status(thm)],[722])).
% 0.46/0.66 tff(724,plain,
% 0.46/0.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c5), multiply(sk_c6, multiply(sk_c8, sk_c2))) = multiply(sk_c7, multiply(sk_c5, multiply(sk_c6, multiply(sk_c8, sk_c2)))))),
% 0.46/0.66 inference(quant_inst,[status(thm)],[])).
% 0.46/0.66 tff(725,plain,
% 0.46/0.66 (multiply(multiply(sk_c7, sk_c5), multiply(sk_c6, multiply(sk_c8, sk_c2))) = multiply(sk_c7, multiply(sk_c5, multiply(sk_c6, multiply(sk_c8, sk_c2))))),
% 0.46/0.66 inference(unit_resolution,[status(thm)],[724, 22])).
% 0.46/0.66 tff(726,plain,
% 0.46/0.66 (multiply(sk_c7, sk_c1) = multiply(sk_c8, sk_c2)),
% 0.46/0.66 inference(transitivity,[status(thm)],[454, 235, 224, 221])).
% 0.46/0.66 tff(727,plain,
% 0.46/0.66 (multiply(sk_c6, multiply(sk_c7, sk_c1)) = multiply(sk_c6, multiply(sk_c8, sk_c2))),
% 0.46/0.66 inference(monotonicity,[status(thm)],[726])).
% 0.46/0.66 tff(728,plain,
% 0.46/0.66 (multiply(sk_c6, multiply(sk_c8, sk_c2)) = multiply(sk_c6, multiply(sk_c7, sk_c1))),
% 0.46/0.66 inference(symmetry,[status(thm)],[727])).
% 0.46/0.66 tff(729,plain,
% 0.46/0.66 (multiply(sk_c6, multiply(sk_c8, sk_c2)) = sk_c1),
% 0.46/0.66 inference(transitivity,[status(thm)],[728, 595, 592, 327])).
% 0.46/0.66 tff(730,plain,
% 0.46/0.66 (((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c5) = sk_c7)) <=> ((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c5) = sk_c7))),
% 0.46/0.66 inference(rewrite,[status(thm)],[])).
% 0.46/0.66 tff(731,axiom,((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c5) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_6')).
% 0.46/0.66 tff(732,plain,
% 0.46/0.66 ((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c5) = sk_c7)),
% 0.46/0.66 inference(modus_ponens,[status(thm)],[731, 730])).
% 0.46/0.66 tff(733,plain,
% 0.46/0.66 ((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c5) = sk_c7)),
% 0.46/0.66 inference(modus_ponens,[status(thm)],[732, 730])).
% 0.46/0.66 tff(734,plain,
% 0.46/0.66 ((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c5) = sk_c7)),
% 0.46/0.66 inference(modus_ponens,[status(thm)],[733, 730])).
% 0.46/0.66 tff(735,plain,
% 0.46/0.66 ((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c5) = sk_c7)),
% 0.46/0.66 inference(modus_ponens,[status(thm)],[734, 730])).
% 0.46/0.66 tff(736,plain,
% 0.46/0.66 ((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c5) = sk_c7)),
% 0.46/0.66 inference(modus_ponens,[status(thm)],[735, 730])).
% 0.46/0.66 tff(737,plain,
% 0.46/0.66 (inverse(sk_c5) = sk_c7),
% 0.46/0.66 inference(unit_resolution,[status(thm)],[736, 715])).
% 0.46/0.66 tff(738,plain,
% 0.46/0.66 (sk_c7 = inverse(sk_c5)),
% 0.46/0.66 inference(symmetry,[status(thm)],[737])).
% 0.46/0.66 tff(739,plain,
% 0.46/0.66 (multiply(sk_c7, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 0.46/0.66 inference(monotonicity,[status(thm)],[738])).
% 0.46/0.66 tff(740,plain,
% 0.46/0.66 (multiply(sk_c7, sk_c5) = multiply(sk_c6, sk_c7)),
% 0.46/0.66 inference(transitivity,[status(thm)],[739, 116, 114, 550])).
% 0.46/0.66 tff(741,plain,
% 0.46/0.66 (multiply(multiply(sk_c7, sk_c5), multiply(sk_c6, multiply(sk_c8, sk_c2))) = multiply(multiply(sk_c6, sk_c7), sk_c1)),
% 0.46/0.66 inference(monotonicity,[status(thm)],[740, 729])).
% 0.46/0.66 tff(742,plain,
% 0.46/0.66 (multiply(multiply(sk_c6, sk_c7), sk_c1) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c6, multiply(sk_c8, sk_c2)))),
% 0.46/0.66 inference(symmetry,[status(thm)],[741])).
% 0.46/0.66 tff(743,plain,
% 0.46/0.66 (multiply(multiply(multiply(sk_c4, sk_c6), sk_c8), sk_c7) = multiply(sk_c8, sk_c7)),
% 0.46/0.66 inference(monotonicity,[status(thm)],[650])).
% 0.46/0.66 tff(744,plain,
% 0.46/0.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c6), sk_c8), sk_c7) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c7)))),
% 0.46/0.66 inference(quant_inst,[status(thm)],[])).
% 0.46/0.66 tff(745,plain,
% 0.46/0.66 (multiply(multiply(multiply(sk_c4, sk_c6), sk_c8), sk_c7) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c7))),
% 0.46/0.66 inference(unit_resolution,[status(thm)],[744, 22])).
% 0.46/0.66 tff(746,plain,
% 0.46/0.66 (multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c7)) = multiply(multiply(multiply(sk_c4, sk_c6), sk_c8), sk_c7)),
% 0.46/0.66 inference(symmetry,[status(thm)],[745])).
% 0.46/0.66 tff(747,plain,
% 0.46/0.66 (multiply(multiply(sk_c4, sk_c7), sk_c8) = multiply(sk_c8, sk_c8)),
% 0.46/0.66 inference(monotonicity,[status(thm)],[506])).
% 0.46/0.66 tff(748,plain,
% 0.46/0.66 (multiply(sk_c8, sk_c8) = multiply(multiply(sk_c4, sk_c7), sk_c8)),
% 0.46/0.66 inference(symmetry,[status(thm)],[747])).
% 0.46/0.66 tff(749,plain,
% 0.46/0.66 (multiply(sk_c8, sk_c8) = multiply(sk_c4, sk_c6)),
% 0.46/0.66 inference(transitivity,[status(thm)],[748, 143, 141])).
% 0.46/0.66 tff(750,plain,
% 0.46/0.66 (multiply(multiply(sk_c8, sk_c8), multiply(sk_c4, multiply(sk_c7, sk_c7))) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c7))),
% 0.46/0.66 inference(monotonicity,[status(thm)],[749, 566])).
% 0.46/0.66 tff(751,plain,
% 0.46/0.66 (multiply(sk_c8, multiply(sk_c4, sk_c7)) = multiply(sk_c8, sk_c8)),
% 0.46/0.66 inference(monotonicity,[status(thm)],[506])).
% 0.46/0.66 tff(752,plain,
% 0.46/0.66 (multiply(multiply(multiply(sk_c4, sk_c6), sk_c8), sk_c4) = multiply(sk_c8, sk_c4)),
% 0.46/0.66 inference(monotonicity,[status(thm)],[650])).
% 0.46/0.66 tff(753,plain,
% 0.46/0.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c6), sk_c8), sk_c4) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)))),
% 0.46/0.66 inference(quant_inst,[status(thm)],[])).
% 0.46/0.66 tff(754,plain,
% 0.46/0.66 (multiply(multiply(multiply(sk_c4, sk_c6), sk_c8), sk_c4) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4))),
% 0.46/0.66 inference(unit_resolution,[status(thm)],[753, 22])).
% 0.46/0.66 tff(755,plain,
% 0.46/0.66 (multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)) = multiply(multiply(multiply(sk_c4, sk_c6), sk_c8), sk_c4)),
% 0.46/0.66 inference(symmetry,[status(thm)],[754])).
% 0.46/0.66 tff(756,plain,
% 0.46/0.66 (multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)) = multiply(sk_c8, sk_c4)),
% 0.46/0.66 inference(transitivity,[status(thm)],[755, 752])).
% 0.46/0.66 tff(757,plain,
% 0.46/0.66 (multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c7) = multiply(multiply(sk_c8, sk_c4), sk_c7)),
% 0.46/0.66 inference(monotonicity,[status(thm)],[756])).
% 0.46/0.66 tff(758,plain,
% 0.46/0.66 (multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c7) = multiply(sk_c8, sk_c8)),
% 0.46/0.66 inference(transitivity,[status(thm)],[757, 53, 751])).
% 0.46/0.66 tff(759,plain,
% 0.46/0.66 (multiply(multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c7), multiply(sk_c4, multiply(sk_c7, sk_c7))) = multiply(multiply(sk_c8, sk_c8), multiply(sk_c4, multiply(sk_c7, sk_c7)))),
% 0.46/0.66 inference(monotonicity,[status(thm)],[758])).
% 0.46/0.66 tff(760,plain,
% 0.46/0.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c7), multiply(sk_c4, multiply(sk_c7, sk_c7))) = multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c7)))))),
% 0.46/0.66 inference(quant_inst,[status(thm)],[])).
% 0.46/0.66 tff(761,plain,
% 0.46/0.66 (multiply(multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c7), multiply(sk_c4, multiply(sk_c7, sk_c7))) = multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c7))))),
% 0.46/0.66 inference(unit_resolution,[status(thm)],[760, 22])).
% 0.46/0.66 tff(762,plain,
% 0.46/0.66 (multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c7)))) = multiply(multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c7), multiply(sk_c4, multiply(sk_c7, sk_c7)))),
% 0.46/0.66 inference(symmetry,[status(thm)],[761])).
% 0.46/0.66 tff(763,plain,
% 0.46/0.66 (multiply(sk_c8, sk_c8) = multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c7)))),
% 0.46/0.66 inference(transitivity,[status(thm)],[652, 639, 654, 84, 649, 703, 581, 584])).
% 0.46/0.66 tff(764,plain,
% 0.46/0.66 (multiply(sk_c8, sk_c4) = multiply(multiply(multiply(sk_c4, sk_c6), sk_c8), sk_c4)),
% 0.46/0.66 inference(symmetry,[status(thm)],[752])).
% 0.46/0.66 tff(765,plain,
% 0.46/0.66 (multiply(sk_c8, sk_c4) = multiply(multiply(sk_c4, sk_c7), sk_c4)),
% 0.46/0.66 inference(monotonicity,[status(thm)],[543])).
% 0.46/0.66 tff(766,plain,
% 0.46/0.66 (multiply(multiply(sk_c4, sk_c7), sk_c4) = multiply(sk_c8, sk_c4)),
% 0.46/0.66 inference(symmetry,[status(thm)],[765])).
% 0.46/0.66 tff(767,plain,
% 0.46/0.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c7), sk_c4) = multiply(sk_c4, multiply(sk_c7, sk_c4)))),
% 0.46/0.66 inference(quant_inst,[status(thm)],[])).
% 0.46/0.66 tff(768,plain,
% 0.46/0.66 (multiply(multiply(sk_c4, sk_c7), sk_c4) = multiply(sk_c4, multiply(sk_c7, sk_c4))),
% 0.46/0.66 inference(unit_resolution,[status(thm)],[767, 22])).
% 0.46/0.66 tff(769,plain,
% 0.46/0.66 (multiply(sk_c4, multiply(sk_c7, sk_c4)) = multiply(multiply(sk_c4, sk_c7), sk_c4)),
% 0.46/0.66 inference(symmetry,[status(thm)],[768])).
% 0.46/0.67 tff(770,plain,
% 0.46/0.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c8, sk_c8)), sk_c4) = multiply(sk_c7, multiply(multiply(sk_c8, sk_c8), sk_c4)))),
% 0.46/0.67 inference(quant_inst,[status(thm)],[])).
% 0.46/0.67 tff(771,plain,
% 0.46/0.67 (multiply(multiply(sk_c7, multiply(sk_c8, sk_c8)), sk_c4) = multiply(sk_c7, multiply(multiply(sk_c8, sk_c8), sk_c4))),
% 0.46/0.67 inference(unit_resolution,[status(thm)],[770, 22])).
% 0.46/0.67 tff(772,plain,
% 0.46/0.67 (multiply(sk_c7, multiply(sk_c8, sk_c8)) = sk_c7),
% 0.46/0.67 inference(transitivity,[status(thm)],[538, 88, 535])).
% 0.46/0.67 tff(773,plain,
% 0.46/0.67 (multiply(multiply(sk_c7, multiply(sk_c8, sk_c8)), sk_c4) = multiply(sk_c7, sk_c4)),
% 0.46/0.67 inference(monotonicity,[status(thm)],[772])).
% 0.46/0.67 tff(774,plain,
% 0.46/0.67 (multiply(sk_c7, sk_c4) = multiply(multiply(sk_c7, multiply(sk_c8, sk_c8)), sk_c4)),
% 0.46/0.67 inference(symmetry,[status(thm)],[773])).
% 0.46/0.67 tff(775,plain,
% 0.46/0.67 (multiply(sk_c7, sk_c4) = multiply(sk_c7, multiply(multiply(sk_c8, sk_c8), sk_c4))),
% 0.46/0.67 inference(transitivity,[status(thm)],[774, 771])).
% 0.46/0.67 tff(776,plain,
% 0.46/0.67 (multiply(sk_c4, multiply(sk_c7, sk_c4)) = multiply(sk_c4, multiply(sk_c7, multiply(multiply(sk_c8, sk_c8), sk_c4)))),
% 0.46/0.67 inference(monotonicity,[status(thm)],[775])).
% 0.46/0.67 tff(777,plain,
% 0.46/0.67 (multiply(sk_c4, multiply(sk_c7, multiply(multiply(sk_c8, sk_c8), sk_c4))) = multiply(sk_c4, multiply(sk_c7, sk_c4))),
% 0.46/0.67 inference(symmetry,[status(thm)],[776])).
% 0.46/0.67 tff(778,plain,
% 0.46/0.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c7), multiply(multiply(sk_c8, sk_c8), sk_c4)) = multiply(sk_c4, multiply(sk_c7, multiply(multiply(sk_c8, sk_c8), sk_c4))))),
% 0.46/0.67 inference(quant_inst,[status(thm)],[])).
% 0.46/0.67 tff(779,plain,
% 0.46/0.67 (multiply(multiply(sk_c4, sk_c7), multiply(multiply(sk_c8, sk_c8), sk_c4)) = multiply(sk_c4, multiply(sk_c7, multiply(multiply(sk_c8, sk_c8), sk_c4)))),
% 0.46/0.67 inference(unit_resolution,[status(thm)],[778, 22])).
% 0.46/0.67 tff(780,plain,
% 0.46/0.67 (multiply(multiply(sk_c4, sk_c7), multiply(multiply(sk_c8, sk_c8), sk_c4)) = multiply(sk_c8, multiply(multiply(sk_c8, sk_c8), sk_c4))),
% 0.46/0.67 inference(monotonicity,[status(thm)],[506])).
% 0.46/0.67 tff(781,plain,
% 0.46/0.67 (multiply(sk_c8, multiply(multiply(sk_c8, sk_c8), sk_c4)) = multiply(multiply(sk_c4, sk_c7), multiply(multiply(sk_c8, sk_c8), sk_c4))),
% 0.46/0.67 inference(symmetry,[status(thm)],[780])).
% 0.46/0.67 tff(782,plain,
% 0.46/0.67 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c4) = sk_c4)),
% 0.46/0.67 inference(quant_inst,[status(thm)],[])).
% 0.46/0.67 tff(783,plain,
% 0.46/0.67 (multiply(identity, sk_c4) = sk_c4),
% 0.46/0.67 inference(unit_resolution,[status(thm)],[782, 31])).
% 0.46/0.67 tff(784,plain,
% 0.46/0.67 (multiply(identity, sk_c4) = multiply(multiply(sk_c6, sk_c7), sk_c4)),
% 0.46/0.67 inference(monotonicity,[status(thm)],[551])).
% 0.46/0.67 tff(785,plain,
% 0.46/0.67 (multiply(multiply(sk_c6, sk_c7), sk_c4) = multiply(identity, sk_c4)),
% 0.46/0.67 inference(symmetry,[status(thm)],[784])).
% 0.46/0.67 tff(786,plain,
% 0.46/0.67 (multiply(sk_c6, sk_c7) = multiply(sk_c8, sk_c8)),
% 0.46/0.67 inference(transitivity,[status(thm)],[406, 648, 85, 653, 71, 651])).
% 0.46/0.67 tff(787,plain,
% 0.46/0.67 (multiply(multiply(sk_c6, sk_c7), sk_c4) = multiply(multiply(sk_c8, sk_c8), sk_c4)),
% 0.46/0.67 inference(monotonicity,[status(thm)],[786])).
% 0.46/0.67 tff(788,plain,
% 0.46/0.67 (multiply(multiply(sk_c8, sk_c8), sk_c4) = multiply(multiply(sk_c6, sk_c7), sk_c4)),
% 0.46/0.67 inference(symmetry,[status(thm)],[787])).
% 0.46/0.67 tff(789,plain,
% 0.46/0.67 (multiply(multiply(sk_c8, sk_c8), sk_c4) = sk_c4),
% 0.46/0.67 inference(transitivity,[status(thm)],[788, 785, 783])).
% 0.46/0.67 tff(790,plain,
% 0.46/0.67 (inverse(multiply(multiply(sk_c8, sk_c8), sk_c4)) = inverse(sk_c4)),
% 0.46/0.67 inference(monotonicity,[status(thm)],[789])).
% 0.46/0.67 tff(791,plain,
% 0.46/0.67 (inverse(sk_c4) = inverse(multiply(multiply(sk_c8, sk_c8), sk_c4))),
% 0.46/0.67 inference(symmetry,[status(thm)],[790])).
% 0.46/0.67 tff(792,plain,
% 0.46/0.67 (((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c4) = sk_c8)) <=> ((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c4) = sk_c8))),
% 0.46/0.67 inference(rewrite,[status(thm)],[])).
% 0.46/0.67 tff(793,axiom,((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_4')).
% 0.46/0.67 tff(794,plain,
% 0.46/0.67 ((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 0.46/0.67 inference(modus_ponens,[status(thm)],[793, 792])).
% 0.46/0.67 tff(795,plain,
% 0.46/0.67 ((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 0.46/0.67 inference(modus_ponens,[status(thm)],[794, 792])).
% 0.46/0.67 tff(796,plain,
% 0.46/0.67 ((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 0.46/0.67 inference(modus_ponens,[status(thm)],[795, 792])).
% 0.46/0.67 tff(797,plain,
% 0.46/0.67 ((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 0.46/0.67 inference(modus_ponens,[status(thm)],[796, 792])).
% 0.46/0.67 tff(798,plain,
% 0.46/0.67 ((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 0.46/0.67 inference(modus_ponens,[status(thm)],[797, 792])).
% 0.46/0.67 tff(799,plain,
% 0.46/0.67 (inverse(sk_c4) = sk_c8),
% 0.46/0.67 inference(unit_resolution,[status(thm)],[798, 715])).
% 0.46/0.67 tff(800,plain,
% 0.46/0.67 (sk_c8 = inverse(sk_c4)),
% 0.46/0.67 inference(symmetry,[status(thm)],[799])).
% 0.46/0.67 tff(801,plain,
% 0.46/0.67 (sk_c8 = inverse(multiply(multiply(sk_c8, sk_c8), sk_c4))),
% 0.46/0.67 inference(transitivity,[status(thm)],[800, 791])).
% 0.46/0.67 tff(802,plain,
% 0.46/0.67 (multiply(sk_c8, multiply(multiply(sk_c8, sk_c8), sk_c4)) = multiply(inverse(multiply(multiply(sk_c8, sk_c8), sk_c4)), multiply(multiply(sk_c8, sk_c8), sk_c4))),
% 0.46/0.67 inference(monotonicity,[status(thm)],[801])).
% 0.46/0.67 tff(803,plain,
% 0.46/0.67 (multiply(inverse(multiply(multiply(sk_c8, sk_c8), sk_c4)), multiply(multiply(sk_c8, sk_c8), sk_c4)) = multiply(sk_c8, multiply(multiply(sk_c8, sk_c8), sk_c4))),
% 0.46/0.67 inference(symmetry,[status(thm)],[802])).
% 0.46/0.67 tff(804,plain,
% 0.46/0.67 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(multiply(multiply(sk_c8, sk_c8), sk_c4)), multiply(multiply(sk_c8, sk_c8), sk_c4)) = identity)),
% 0.46/0.67 inference(quant_inst,[status(thm)],[])).
% 0.46/0.67 tff(805,plain,
% 0.46/0.67 (multiply(inverse(multiply(multiply(sk_c8, sk_c8), sk_c4)), multiply(multiply(sk_c8, sk_c8), sk_c4)) = identity),
% 0.46/0.67 inference(unit_resolution,[status(thm)],[804, 40])).
% 0.46/0.67 tff(806,plain,
% 0.46/0.67 (identity = multiply(inverse(multiply(multiply(sk_c8, sk_c8), sk_c4)), multiply(multiply(sk_c8, sk_c8), sk_c4))),
% 0.50/0.67 inference(symmetry,[status(thm)],[805])).
% 0.50/0.67 tff(807,plain,
% 0.50/0.67 (multiply(sk_c8, sk_c8) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4))),
% 0.50/0.67 inference(transitivity,[status(thm)],[652, 639, 654, 84, 649, 74, 806, 803, 781, 779, 777, 769, 766, 764, 754])).
% 0.50/0.67 tff(808,plain,
% 0.50/0.67 (multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, sk_c8)) = multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c7))))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[807, 763])).
% 0.50/0.67 tff(809,plain,
% 0.50/0.67 (multiply(sk_c4, sk_c6) = multiply(sk_c8, sk_c8)),
% 0.50/0.67 inference(transitivity,[status(thm)],[140, 255, 747])).
% 0.50/0.67 tff(810,plain,
% 0.50/0.67 (multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, sk_c8))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[809])).
% 0.50/0.67 tff(811,plain,
% 0.50/0.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c6), sk_c8), sk_c8) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c8)))),
% 0.50/0.67 inference(quant_inst,[status(thm)],[])).
% 0.50/0.67 tff(812,plain,
% 0.50/0.67 (multiply(multiply(multiply(sk_c4, sk_c6), sk_c8), sk_c8) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c8))),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[811, 22])).
% 0.50/0.67 tff(813,plain,
% 0.50/0.67 (multiply(sk_c8, sk_c8) = multiply(multiply(multiply(sk_c4, sk_c6), sk_c8), sk_c8)),
% 0.50/0.67 inference(monotonicity,[status(thm)],[547])).
% 0.50/0.67 tff(814,plain,
% 0.50/0.67 (sk_c1 = multiply(identity, sk_c1)),
% 0.50/0.67 inference(symmetry,[status(thm)],[327])).
% 0.50/0.67 tff(815,plain,
% 0.50/0.67 (sk_c1 = inverse(sk_c7)),
% 0.50/0.67 inference(transitivity,[status(thm)],[814, 591, 594, 727, 612, 611, 689, 685, 684, 681, 637, 672, 669, 668, 3, 405])).
% 0.50/0.67 tff(816,plain,
% 0.50/0.67 (multiply(sk_c1, sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 0.50/0.67 inference(monotonicity,[status(thm)],[815])).
% 0.50/0.67 tff(817,plain,
% 0.50/0.67 (multiply(sk_c1, sk_c7) = sk_c8),
% 0.50/0.67 inference(transitivity,[status(thm)],[816, 648, 85, 653, 71, 651, 813, 812, 810, 808, 762, 759, 750, 746, 743, 561, 564, 664, 570, 573, 587, 728, 595, 742, 725, 723, 712, 438, 711, 708, 706, 702, 699, 692, 667, 663, 560, 660, 657, 647, 542, 645, 506])).
% 0.50/0.67 tff(818,plain,
% 0.50/0.67 ($false),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[715, 817])).
% 0.50/0.67 tff(819,plain,(multiply(sk_c1, sk_c7) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 0.50/0.67 tff(820,plain,
% 0.50/0.67 (multiply(sk_c6, multiply(identity, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))) = multiply(sk_c6, multiply(sk_c8, sk_c8))),
% 0.50/0.67 inference(symmetry,[status(thm)],[641])).
% 0.50/0.67 tff(821,plain,
% 0.50/0.67 (multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c8, sk_c4))), multiply(sk_c6, multiply(sk_c8, sk_c7))), multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))) = multiply(multiply(sk_c6, identity), multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))),
% 0.50/0.67 inference(symmetry,[status(thm)],[635])).
% 0.50/0.67 tff(822,plain,
% 0.50/0.67 (multiply(multiply(multiply(sk_c6, multiply(sk_c6, sk_c6)), sk_c8), multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))) = multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c8, sk_c4))), multiply(sk_c6, multiply(sk_c8, sk_c7))), multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))),
% 0.50/0.67 inference(symmetry,[status(thm)],[630])).
% 0.50/0.67 tff(823,plain,
% 0.50/0.67 (multiply(multiply(sk_c6, multiply(sk_c6, sk_c6)), sk_c8) = multiply(multiply(sk_c6, multiply(sk_c6, sk_c6)), multiply(sk_c8, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))))),
% 0.50/0.67 inference(symmetry,[status(thm)],[608])).
% 0.50/0.67 tff(824,plain,
% 0.50/0.67 (multiply(sk_c6, multiply(sk_c7, sk_c1)) = multiply(sk_c6, multiply(sk_c8, sk_c2))),
% 0.50/0.67 inference(symmetry,[status(thm)],[598])).
% 0.50/0.67 tff(825,plain,
% 0.50/0.67 (sk_c1 = inverse(sk_c7)),
% 0.50/0.67 inference(transitivity,[status(thm)],[814, 591, 594, 824, 612, 611, 823, 685, 822, 821, 637, 820, 669, 668, 3, 405])).
% 0.50/0.67 tff(826,plain,
% 0.50/0.67 (multiply(sk_c1, sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 0.50/0.67 inference(monotonicity,[status(thm)],[825])).
% 0.50/0.67 tff(827,plain,
% 0.50/0.67 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c1, sk_c7)),
% 0.50/0.67 inference(symmetry,[status(thm)],[826])).
% 0.50/0.67 tff(828,plain,
% 0.50/0.67 (identity = sk_c8),
% 0.50/0.67 inference(transitivity,[status(thm)],[114, 827, 819])).
% 0.50/0.67 tff(829,plain,
% 0.50/0.67 (multiply(sk_c7, identity) = multiply(sk_c7, sk_c8)),
% 0.50/0.67 inference(monotonicity,[status(thm)],[828])).
% 0.50/0.67 tff(830,plain,
% 0.50/0.67 (multiply(sk_c8, sk_c8) = identity),
% 0.50/0.67 inference(transitivity,[status(thm)],[548, 639, 552, 84, 554, 74])).
% 0.50/0.67 tff(831,plain,
% 0.50/0.67 (multiply(sk_c7, multiply(sk_c8, sk_c8)) = multiply(sk_c7, identity)),
% 0.50/0.67 inference(monotonicity,[status(thm)],[830])).
% 0.50/0.67 tff(832,plain,
% 0.50/0.67 ((sk_c8 = inverse(sk_c7)) <=> (inverse(sk_c7) = sk_c8)),
% 0.50/0.67 inference(commutativity,[status(thm)],[])).
% 0.50/0.67 tff(833,plain,
% 0.50/0.67 (multiply(multiply(sk_c6, sk_c8), sk_c8) = multiply(sk_c7, sk_c8)),
% 0.50/0.67 inference(monotonicity,[status(thm)],[535])).
% 0.50/0.67 tff(834,plain,
% 0.50/0.67 (multiply(identity, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))) = multiply(sk_c8, sk_c8)),
% 0.50/0.67 inference(transitivity,[status(thm)],[71, 549])).
% 0.50/0.67 tff(835,plain,
% 0.50/0.67 (multiply(sk_c6, multiply(identity, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))) = multiply(sk_c6, multiply(sk_c8, sk_c8))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[834])).
% 0.50/0.67 tff(836,plain,
% 0.50/0.67 (multiply(sk_c6, multiply(sk_c8, sk_c2)) = multiply(sk_c6, identity)),
% 0.50/0.67 inference(symmetry,[status(thm)],[633])).
% 0.50/0.67 tff(837,plain,
% 0.50/0.67 (multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c8, sk_c4))), multiply(sk_c6, multiply(sk_c8, sk_c7))) = multiply(sk_c6, identity)),
% 0.50/0.67 inference(transitivity,[status(thm)],[628, 626, 836])).
% 0.50/0.67 tff(838,plain,
% 0.50/0.67 (multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c8, sk_c4))), multiply(sk_c6, multiply(sk_c8, sk_c7))), multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))) = multiply(multiply(sk_c6, identity), multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[837])).
% 0.50/0.67 tff(839,plain,
% 0.50/0.67 (multiply(sk_c6, multiply(sk_c6, sk_c8)) = multiply(multiply(sk_c6, sk_c6), sk_c8)),
% 0.50/0.67 inference(symmetry,[status(thm)],[601])).
% 0.50/0.67 tff(840,plain,
% 0.50/0.67 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c6, multiply(sk_c6, sk_c8))),
% 0.50/0.67 inference(symmetry,[status(thm)],[599])).
% 0.50/0.67 tff(841,plain,
% 0.50/0.67 (multiply(sk_c8, sk_c2) = multiply(multiply(sk_c6, sk_c6), sk_c8)),
% 0.50/0.67 inference(transitivity,[status(thm)],[220, 223, 114, 840, 839])).
% 0.50/0.67 tff(842,plain,
% 0.50/0.67 (multiply(sk_c6, multiply(sk_c8, sk_c2)) = multiply(sk_c6, multiply(multiply(sk_c6, sk_c6), sk_c8))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[841])).
% 0.50/0.67 tff(843,plain,
% 0.50/0.67 (multiply(sk_c6, multiply(multiply(sk_c6, sk_c6), sk_c8)) = multiply(sk_c6, multiply(sk_c8, sk_c2))),
% 0.50/0.67 inference(symmetry,[status(thm)],[842])).
% 0.50/0.67 tff(844,plain,
% 0.50/0.67 (multiply(multiply(sk_c6, multiply(sk_c6, sk_c6)), sk_c8) = multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c8, sk_c4))), multiply(sk_c6, multiply(sk_c8, sk_c7)))),
% 0.50/0.67 inference(transitivity,[status(thm)],[605, 843, 632, 631])).
% 0.50/0.67 tff(845,plain,
% 0.50/0.67 (multiply(multiply(multiply(sk_c6, multiply(sk_c6, sk_c6)), sk_c8), multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))) = multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c8, sk_c4))), multiply(sk_c6, multiply(sk_c8, sk_c7))), multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[844])).
% 0.50/0.67 tff(846,plain,
% 0.50/0.67 (multiply(sk_c8, multiply(sk_c8, sk_c8)) = multiply(sk_c8, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))),
% 0.50/0.67 inference(symmetry,[status(thm)],[606])).
% 0.50/0.67 tff(847,plain,
% 0.50/0.67 (multiply(multiply(sk_c4, sk_c7), multiply(sk_c8, sk_c8)) = multiply(sk_c8, multiply(sk_c8, sk_c8))),
% 0.50/0.67 inference(symmetry,[status(thm)],[544])).
% 0.50/0.67 tff(848,plain,
% 0.50/0.67 (multiply(sk_c4, multiply(sk_c7, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c4, sk_c7), multiply(sk_c8, sk_c8))),
% 0.50/0.67 inference(symmetry,[status(thm)],[542])).
% 0.50/0.67 tff(849,plain,
% 0.50/0.67 (multiply(sk_c4, multiply(sk_c7, multiply(sk_c8, sk_c8))) = multiply(sk_c4, sk_c7)),
% 0.50/0.67 inference(monotonicity,[status(thm)],[772])).
% 0.50/0.67 tff(850,plain,
% 0.50/0.67 (multiply(sk_c4, sk_c7) = multiply(sk_c4, multiply(sk_c7, multiply(sk_c8, sk_c8)))),
% 0.50/0.67 inference(symmetry,[status(thm)],[849])).
% 0.50/0.67 tff(851,plain,
% 0.50/0.67 (sk_c8 = multiply(sk_c8, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))),
% 0.50/0.67 inference(transitivity,[status(thm)],[543, 850, 848, 847, 846])).
% 0.50/0.67 tff(852,plain,
% 0.50/0.67 (multiply(multiply(sk_c6, multiply(sk_c6, sk_c6)), sk_c8) = multiply(multiply(sk_c6, multiply(sk_c6, sk_c6)), multiply(sk_c8, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[851])).
% 0.50/0.67 tff(853,plain,
% 0.50/0.67 (sk_c1 = inverse(sk_c7)),
% 0.50/0.67 inference(transitivity,[status(thm)],[814, 591, 594, 727, 842, 611, 852, 685, 845, 838, 637, 835, 669, 833, 3, 405])).
% 0.50/0.67 tff(854,plain,
% 0.50/0.67 (multiply(sk_c1, sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 0.50/0.67 inference(monotonicity,[status(thm)],[853])).
% 0.50/0.67 tff(855,plain,
% 0.50/0.67 (sk_c8 = multiply(sk_c1, sk_c7)),
% 0.50/0.67 inference(symmetry,[status(thm)],[819])).
% 0.50/0.67 tff(856,plain,
% 0.50/0.67 (sk_c8 = identity),
% 0.50/0.67 inference(transitivity,[status(thm)],[855, 854, 74])).
% 0.50/0.67 tff(857,plain,
% 0.50/0.67 (multiply(sk_c7, sk_c8) = multiply(sk_c7, identity)),
% 0.50/0.67 inference(monotonicity,[status(thm)],[856])).
% 0.50/0.67 tff(858,plain,
% 0.50/0.67 (multiply(sk_c7, identity) = multiply(sk_c7, sk_c8)),
% 0.50/0.67 inference(symmetry,[status(thm)],[857])).
% 0.50/0.67 tff(859,plain,
% 0.50/0.67 (multiply(sk_c6, multiply(sk_c7, multiply(sk_c8, sk_c8))) = multiply(inverse(sk_c7), sk_c7)),
% 0.50/0.67 inference(monotonicity,[status(thm)],[405, 772])).
% 0.50/0.67 tff(860,plain,
% 0.50/0.67 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c8, sk_c8)))),
% 0.50/0.67 inference(symmetry,[status(thm)],[859])).
% 0.50/0.67 tff(861,plain,
% 0.50/0.67 (identity = multiply(sk_c8, sk_c8)),
% 0.50/0.67 inference(transitivity,[status(thm)],[114, 860, 85, 553, 71, 549])).
% 0.50/0.67 tff(862,plain,
% 0.50/0.67 (multiply(sk_c7, identity) = multiply(sk_c7, multiply(sk_c8, sk_c8))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[861])).
% 0.50/0.67 tff(863,plain,
% 0.50/0.67 (multiply(sk_c7, multiply(sk_c8, sk_c8)) = multiply(sk_c7, identity)),
% 0.50/0.67 inference(symmetry,[status(thm)],[862])).
% 0.50/0.67 tff(864,plain,
% 0.50/0.67 (multiply(sk_c7, identity) = multiply(sk_c7, multiply(sk_c8, sk_c8))),
% 0.50/0.67 inference(symmetry,[status(thm)],[831])).
% 0.50/0.67 tff(865,plain,
% 0.50/0.67 (multiply(sk_c7, sk_c8) = multiply(sk_c7, identity)),
% 0.50/0.67 inference(symmetry,[status(thm)],[829])).
% 0.50/0.67 tff(866,plain,
% 0.50/0.67 (multiply(sk_c6, sk_c6) = sk_c8),
% 0.50/0.67 inference(transitivity,[status(thm)],[412, 411, 408, 228])).
% 0.50/0.67 tff(867,plain,
% 0.50/0.67 (multiply(sk_c6, multiply(sk_c6, sk_c6)) = multiply(sk_c6, sk_c8)),
% 0.50/0.67 inference(monotonicity,[status(thm)],[866])).
% 0.50/0.67 tff(868,plain,
% 0.50/0.67 (multiply(sk_c8, sk_c6) = multiply(sk_c8, multiply(sk_c7, sk_c8))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[106])).
% 0.50/0.67 tff(869,plain,
% 0.50/0.67 (multiply(sk_c8, multiply(sk_c7, sk_c8)) = multiply(sk_c8, sk_c6)),
% 0.50/0.67 inference(symmetry,[status(thm)],[868])).
% 0.50/0.67 tff(870,plain,
% 0.50/0.67 (multiply(sk_c7, multiply(sk_c8, multiply(sk_c7, sk_c8))) = multiply(sk_c7, multiply(sk_c8, sk_c6))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[869])).
% 0.50/0.67 tff(871,plain,
% 0.50/0.67 (multiply(sk_c7, multiply(sk_c8, multiply(sk_c7, sk_c8))) = multiply(sk_c6, sk_c6)),
% 0.50/0.67 inference(transitivity,[status(thm)],[870, 416, 413])).
% 0.50/0.67 tff(872,plain,
% 0.50/0.67 (multiply(sk_c6, multiply(sk_c7, multiply(sk_c8, multiply(sk_c7, sk_c8)))) = multiply(sk_c6, multiply(sk_c6, sk_c6))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[871])).
% 0.50/0.67 tff(873,plain,
% 0.50/0.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), multiply(sk_c8, multiply(sk_c7, sk_c8))) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c8, multiply(sk_c7, sk_c8)))))),
% 0.50/0.67 inference(quant_inst,[status(thm)],[])).
% 0.50/0.67 tff(874,plain,
% 0.50/0.67 (multiply(multiply(sk_c6, sk_c7), multiply(sk_c8, multiply(sk_c7, sk_c8))) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c8, multiply(sk_c7, sk_c8))))),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[873, 22])).
% 0.50/0.67 tff(875,plain,
% 0.50/0.67 (multiply(identity, multiply(sk_c8, multiply(sk_c7, sk_c8))) = multiply(multiply(sk_c6, sk_c7), multiply(sk_c8, multiply(sk_c7, sk_c8)))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[551])).
% 0.50/0.67 tff(876,plain,
% 0.50/0.67 (multiply(sk_c4, sk_c6) = identity),
% 0.50/0.67 inference(transitivity,[status(thm)],[140, 255, 747, 548, 639, 552, 84, 554, 74])).
% 0.50/0.67 tff(877,plain,
% 0.50/0.67 (multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c6)) = multiply(identity, multiply(sk_c8, multiply(sk_c7, sk_c8)))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[876, 868])).
% 0.50/0.67 tff(878,plain,
% 0.50/0.67 (multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c7) = multiply(sk_c4, sk_c6)),
% 0.50/0.67 inference(transitivity,[status(thm)],[757, 53, 751, 748, 143, 141])).
% 0.50/0.67 tff(879,plain,
% 0.50/0.67 (multiply(multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c7), multiply(sk_c8, multiply(sk_c7, sk_c8))) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c6))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[878, 869])).
% 0.50/0.67 tff(880,plain,
% 0.50/0.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c7), multiply(sk_c8, multiply(sk_c7, sk_c8))) = multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c7, sk_c8)))))),
% 0.50/0.67 inference(quant_inst,[status(thm)],[])).
% 0.50/0.67 tff(881,plain,
% 0.50/0.67 (multiply(multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c7), multiply(sk_c8, multiply(sk_c7, sk_c8))) = multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c7, sk_c8))))),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[880, 22])).
% 0.50/0.67 tff(882,plain,
% 0.50/0.67 (multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c7, sk_c8)))) = multiply(multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c7), multiply(sk_c8, multiply(sk_c7, sk_c8)))),
% 0.50/0.67 inference(symmetry,[status(thm)],[881])).
% 0.50/0.67 tff(883,plain,
% 0.50/0.67 (multiply(sk_c7, multiply(sk_c8, sk_c6)) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c7, sk_c8)))),
% 0.50/0.67 inference(symmetry,[status(thm)],[870])).
% 0.50/0.67 tff(884,plain,
% 0.50/0.67 (multiply(sk_c6, sk_c6) = multiply(multiply(sk_c7, sk_c8), sk_c6)),
% 0.50/0.67 inference(symmetry,[status(thm)],[413])).
% 0.50/0.67 tff(885,plain,
% 0.50/0.67 (multiply(sk_c6, multiply(sk_c8, sk_c8)) = sk_c6),
% 0.50/0.67 inference(transitivity,[status(thm)],[669, 668, 3])).
% 0.50/0.67 tff(886,plain,
% 0.50/0.67 (multiply(sk_c6, multiply(sk_c6, multiply(sk_c8, sk_c8))) = multiply(sk_c6, sk_c6)),
% 0.50/0.67 inference(monotonicity,[status(thm)],[885])).
% 0.50/0.67 tff(887,plain,
% 0.50/0.67 (multiply(sk_c6, multiply(sk_c6, multiply(sk_c8, sk_c8))) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c7, sk_c8)))),
% 0.50/0.67 inference(transitivity,[status(thm)],[886, 884, 415, 883])).
% 0.50/0.67 tff(888,plain,
% 0.50/0.67 (multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), multiply(sk_c6, multiply(sk_c6, multiply(sk_c8, sk_c8)))) = multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c7, sk_c8))))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[887])).
% 0.50/0.67 tff(889,plain,
% 0.50/0.67 (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(sk_c6, multiply(sk_c8, sk_c8)))),
% 0.50/0.67 inference(symmetry,[status(thm)],[886])).
% 0.50/0.67 tff(890,plain,
% 0.50/0.67 (multiply(sk_c6, multiply(sk_c7, sk_c8)) = multiply(sk_c6, sk_c6)),
% 0.50/0.67 inference(symmetry,[status(thm)],[412])).
% 0.50/0.67 tff(891,plain,
% 0.50/0.67 (multiply(identity, sk_c8) = multiply(multiply(sk_c6, sk_c7), sk_c8)),
% 0.50/0.67 inference(symmetry,[status(thm)],[408])).
% 0.50/0.67 tff(892,plain,
% 0.50/0.67 (sk_c8 = multiply(sk_c6, multiply(sk_c6, multiply(sk_c8, sk_c8)))),
% 0.50/0.67 inference(transitivity,[status(thm)],[229, 891, 410, 890, 889])).
% 0.50/0.67 tff(893,plain,
% 0.50/0.67 (multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c8) = multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), multiply(sk_c6, multiply(sk_c6, multiply(sk_c8, sk_c8))))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[892])).
% 0.50/0.67 tff(894,plain,
% 0.50/0.67 (multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c8) = sk_c1),
% 0.50/0.67 inference(transitivity,[status(thm)],[893, 888, 882, 879, 877, 875, 874, 872, 867, 536, 87, 831, 829, 642, 159, 641, 638, 635, 630, 610, 608, 605, 603, 598, 595, 592, 327])).
% 0.50/0.67 tff(895,plain,
% 0.50/0.67 (sk_c8 = multiply(sk_c6, sk_c7)),
% 0.50/0.67 inference(transitivity,[status(thm)],[855, 826, 550])).
% 0.50/0.67 tff(896,plain,
% 0.50/0.67 (multiply(sk_c8, multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c8)) = multiply(multiply(sk_c6, sk_c7), sk_c1)),
% 0.50/0.67 inference(monotonicity,[status(thm)],[895, 894])).
% 0.50/0.67 tff(897,plain,
% 0.50/0.67 (multiply(sk_c8, multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c8)) = sk_c7),
% 0.50/0.67 inference(transitivity,[status(thm)],[896, 594, 824, 612, 611, 823, 685, 822, 821, 637, 820, 669, 668, 865, 864, 538, 537, 535])).
% 0.50/0.67 tff(898,assumption,(~(multiply(sk_c8, sk_c3) = sk_c7)), introduced(assumption)).
% 0.50/0.67 tff(899,plain,
% 0.50/0.67 (((inverse(sk_c4) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 0.50/0.67 inference(rewrite,[status(thm)],[])).
% 0.50/0.67 tff(900,plain,
% 0.50/0.67 (((multiply(sk_c8, sk_c3) = sk_c7) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 0.50/0.67 inference(rewrite,[status(thm)],[])).
% 0.50/0.67 tff(901,axiom,((multiply(sk_c8, sk_c3) = sk_c7) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_16')).
% 0.50/0.67 tff(902,plain,
% 0.50/0.67 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 0.50/0.67 inference(modus_ponens,[status(thm)],[901, 900])).
% 0.50/0.67 tff(903,plain,
% 0.50/0.67 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 0.50/0.67 inference(modus_ponens,[status(thm)],[902, 899])).
% 0.50/0.67 tff(904,plain,
% 0.50/0.67 (inverse(sk_c4) = sk_c8),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[903, 898])).
% 0.50/0.67 tff(905,plain,
% 0.50/0.67 (multiply(sk_c6, sk_c7) = multiply(sk_c8, sk_c8)),
% 0.50/0.67 inference(transitivity,[status(thm)],[406, 555, 85, 553, 71, 549])).
% 0.50/0.67 tff(906,plain,
% 0.50/0.67 (multiply(multiply(sk_c6, sk_c7), sk_c4) = multiply(multiply(sk_c8, sk_c8), sk_c4)),
% 0.50/0.67 inference(monotonicity,[status(thm)],[905])).
% 0.50/0.67 tff(907,plain,
% 0.50/0.67 (multiply(multiply(sk_c8, sk_c8), sk_c4) = multiply(multiply(sk_c6, sk_c7), sk_c4)),
% 0.50/0.67 inference(symmetry,[status(thm)],[906])).
% 0.50/0.67 tff(908,plain,
% 0.50/0.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c8), sk_c4) = multiply(sk_c8, multiply(sk_c8, sk_c4)))),
% 0.50/0.68 inference(quant_inst,[status(thm)],[])).
% 0.50/0.68 tff(909,plain,
% 0.50/0.68 (multiply(multiply(sk_c8, sk_c8), sk_c4) = multiply(sk_c8, multiply(sk_c8, sk_c4))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[908, 22])).
% 0.50/0.68 tff(910,plain,
% 0.50/0.68 (multiply(sk_c8, multiply(sk_c8, sk_c4)) = multiply(multiply(sk_c8, sk_c8), sk_c4)),
% 0.50/0.68 inference(symmetry,[status(thm)],[909])).
% 0.50/0.68 tff(911,plain,
% 0.50/0.68 (sk_c8 = identity),
% 0.50/0.68 inference(transitivity,[status(thm)],[855, 826, 74])).
% 0.50/0.68 tff(912,plain,
% 0.50/0.68 (multiply(sk_c8, multiply(sk_c8, sk_c4)) = multiply(identity, multiply(sk_c8, sk_c4))),
% 0.50/0.68 inference(monotonicity,[status(thm)],[911])).
% 0.50/0.68 tff(913,plain,
% 0.50/0.68 (multiply(identity, multiply(sk_c8, sk_c4)) = multiply(sk_c8, multiply(sk_c8, sk_c4))),
% 0.50/0.68 inference(symmetry,[status(thm)],[912])).
% 0.50/0.68 tff(914,plain,
% 0.50/0.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c8), sk_c4) = multiply(identity, multiply(sk_c8, sk_c4)))),
% 0.50/0.68 inference(quant_inst,[status(thm)],[])).
% 0.50/0.68 tff(915,plain,
% 0.50/0.68 (multiply(multiply(identity, sk_c8), sk_c4) = multiply(identity, multiply(sk_c8, sk_c4))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[914, 22])).
% 0.50/0.68 tff(916,plain,
% 0.50/0.68 (multiply(sk_c8, sk_c4) = multiply(multiply(identity, sk_c8), sk_c4)),
% 0.50/0.68 inference(monotonicity,[status(thm)],[229])).
% 0.50/0.68 tff(917,plain,
% 0.50/0.68 (multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)) = sk_c4),
% 0.50/0.68 inference(transitivity,[status(thm)],[755, 752, 916, 915, 913, 910, 907, 785, 783])).
% 0.50/0.68 tff(918,plain,
% 0.50/0.68 (inverse(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4))) = inverse(sk_c4)),
% 0.50/0.68 inference(monotonicity,[status(thm)],[917])).
% 0.50/0.68 tff(919,plain,
% 0.50/0.68 (inverse(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4))) = sk_c8),
% 0.50/0.68 inference(transitivity,[status(thm)],[918, 904])).
% 0.50/0.68 tff(920,plain,
% 0.50/0.68 (multiply(sk_c6, multiply(sk_c8, sk_c2)) = sk_c1),
% 0.50/0.68 inference(transitivity,[status(thm)],[598, 595, 592, 327])).
% 0.50/0.68 tff(921,plain,
% 0.50/0.68 (inverse(multiply(sk_c6, multiply(sk_c8, sk_c2))) = inverse(sk_c1)),
% 0.50/0.68 inference(monotonicity,[status(thm)],[920])).
% 0.50/0.68 tff(922,plain,
% 0.50/0.68 (inverse(multiply(sk_c6, multiply(sk_c8, sk_c2))) = sk_c7),
% 0.50/0.68 inference(transitivity,[status(thm)],[921, 452])).
% 0.50/0.68 tff(923,plain,
% 0.50/0.68 (multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c7) = sk_c8),
% 0.50/0.68 inference(transitivity,[status(thm)],[757, 53, 751, 548, 639, 552, 84, 554, 827, 819])).
% 0.50/0.68 tff(924,plain,
% 0.50/0.68 (multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), sk_c7) = multiply(sk_c1, sk_c7)),
% 0.50/0.68 inference(monotonicity,[status(thm)],[920])).
% 0.50/0.68 tff(925,plain,
% 0.50/0.68 (multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), sk_c7) = sk_c8),
% 0.50/0.68 inference(transitivity,[status(thm)],[924, 819])).
% 0.50/0.68 tff(926,plain,
% 0.50/0.68 (((multiply(sk_c5, sk_c6) = sk_c7) | (multiply(sk_c8, sk_c3) = sk_c7)) <=> ((multiply(sk_c5, sk_c6) = sk_c7) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 0.50/0.68 inference(rewrite,[status(thm)],[])).
% 0.50/0.68 tff(927,plain,
% 0.50/0.68 (((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c5, sk_c6) = sk_c7)) <=> ((multiply(sk_c5, sk_c6) = sk_c7) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 0.50/0.68 inference(rewrite,[status(thm)],[])).
% 0.50/0.68 tff(928,axiom,((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c5, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_19')).
% 0.50/0.68 tff(929,plain,
% 0.50/0.68 ((multiply(sk_c5, sk_c6) = sk_c7) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[928, 927])).
% 0.50/0.68 tff(930,plain,
% 0.50/0.68 ((multiply(sk_c5, sk_c6) = sk_c7) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[929, 926])).
% 0.50/0.68 tff(931,plain,
% 0.50/0.68 (multiply(sk_c5, sk_c6) = sk_c7),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[930, 898])).
% 0.50/0.68 tff(932,plain,
% 0.50/0.68 (((inverse(sk_c5) = sk_c7) | (multiply(sk_c8, sk_c3) = sk_c7)) <=> ((inverse(sk_c5) = sk_c7) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 0.50/0.68 inference(rewrite,[status(thm)],[])).
% 0.50/0.68 tff(933,plain,
% 0.50/0.68 (((multiply(sk_c8, sk_c3) = sk_c7) | (inverse(sk_c5) = sk_c7)) <=> ((inverse(sk_c5) = sk_c7) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 0.50/0.68 inference(rewrite,[status(thm)],[])).
% 0.50/0.68 tff(934,axiom,((multiply(sk_c8, sk_c3) = sk_c7) | (inverse(sk_c5) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_18')).
% 0.50/0.68 tff(935,plain,
% 0.50/0.68 ((inverse(sk_c5) = sk_c7) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[934, 933])).
% 0.50/0.68 tff(936,plain,
% 0.50/0.68 ((inverse(sk_c5) = sk_c7) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[935, 932])).
% 0.50/0.68 tff(937,plain,
% 0.50/0.68 (inverse(sk_c5) = sk_c7),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[936, 898])).
% 0.50/0.68 tff(938,plain,
% 0.50/0.68 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), sk_c7) = sk_c8)) | (~(multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c7) = sk_c8)) | (~(inverse(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4))) = sk_c8)) | (~(multiply(sk_c8, multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c8)) = sk_c7)) | (~(inverse(multiply(sk_c6, multiply(sk_c8, sk_c2))) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), sk_c7) = sk_c8)) | (~(multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c7) = sk_c8)) | (~(inverse(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4))) = sk_c8)) | (~(multiply(sk_c8, multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c8)) = sk_c7)) | (~(inverse(multiply(sk_c6, multiply(sk_c8, sk_c2))) = sk_c7)))),
% 0.50/0.68 inference(rewrite,[status(thm)],[])).
% 0.50/0.68 tff(939,plain,
% 0.50/0.68 (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c7) = sk_c8)) | (~(inverse(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4))) = sk_c8)) | (~(inverse(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4))) = sk_c8)) | (~(inverse(multiply(sk_c6, multiply(sk_c8, sk_c2))) = sk_c7)) | (~(multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c8)) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), sk_c7) = sk_c8)) | (~(multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c7) = sk_c8)) | (~(inverse(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4))) = sk_c8)) | (~(multiply(sk_c8, multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c8)) = sk_c7)) | (~(inverse(multiply(sk_c6, multiply(sk_c8, sk_c2))) = sk_c7)))),
% 0.50/0.68 inference(rewrite,[status(thm)],[])).
% 0.50/0.68 tff(940,plain,
% 0.50/0.68 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c7) = sk_c8)) | (~(inverse(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4))) = sk_c8)) | (~(inverse(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4))) = sk_c8)) | (~(inverse(multiply(sk_c6, multiply(sk_c8, sk_c2))) = sk_c7)) | (~(multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c8)) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), sk_c7) = sk_c8)) | (~(multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c7) = sk_c8)) | (~(inverse(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4))) = sk_c8)) | (~(multiply(sk_c8, multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c8)) = sk_c7)) | (~(inverse(multiply(sk_c6, multiply(sk_c8, sk_c2))) = sk_c7))))),
% 0.50/0.68 inference(monotonicity,[status(thm)],[939])).
% 0.50/0.68 tff(941,plain,
% 0.50/0.68 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c7) = sk_c8)) | (~(inverse(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4))) = sk_c8)) | (~(inverse(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4))) = sk_c8)) | (~(inverse(multiply(sk_c6, multiply(sk_c8, sk_c2))) = sk_c7)) | (~(multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c8)) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), sk_c7) = sk_c8)) | (~(multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c7) = sk_c8)) | (~(inverse(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4))) = sk_c8)) | (~(multiply(sk_c8, multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c8)) = sk_c7)) | (~(inverse(multiply(sk_c6, multiply(sk_c8, sk_c2))) = sk_c7)))),
% 0.50/0.68 inference(transitivity,[status(thm)],[940, 938])).
% 0.50/0.68 tff(942,plain,
% 0.50/0.68 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c7) = sk_c8)) | (~(inverse(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4))) = sk_c8)) | (~(inverse(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4))) = sk_c8)) | (~(inverse(multiply(sk_c6, multiply(sk_c8, sk_c2))) = sk_c7)) | (~(multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c8)) = sk_c7)))),
% 0.50/0.68 inference(quant_inst,[status(thm)],[])).
% 0.50/0.68 tff(943,plain,
% 0.50/0.68 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), sk_c7) = sk_c8)) | (~(multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c7) = sk_c8)) | (~(inverse(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4))) = sk_c8)) | (~(multiply(sk_c8, multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c8)) = sk_c7)) | (~(inverse(multiply(sk_c6, multiply(sk_c8, sk_c2))) = sk_c7))),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[942, 941])).
% 0.50/0.68 tff(944,plain,
% 0.50/0.68 ((~(inverse(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4))) = sk_c8)) | (~(multiply(sk_c8, multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c4)), sk_c8)) = sk_c7)) | (~(inverse(multiply(sk_c6, multiply(sk_c8, sk_c2))) = sk_c7))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[943, 3, 361, 535, 937, 931, 209, 925, 923])).
% 0.50/0.68 tff(945,plain,
% 0.50/0.68 ($false),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[944, 922, 919, 897])).
% 0.50/0.68 tff(946,plain,(multiply(sk_c8, sk_c3) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 0.50/0.68 tff(947,plain,
% 0.50/0.68 (multiply(sk_c8, sk_c3) = multiply(identity, sk_c3)),
% 0.50/0.68 inference(monotonicity,[status(thm)],[856])).
% 0.50/0.68 tff(948,plain,
% 0.50/0.68 (multiply(identity, sk_c3) = multiply(sk_c8, sk_c3)),
% 0.50/0.68 inference(symmetry,[status(thm)],[947])).
% 0.50/0.68 tff(949,plain,
% 0.50/0.68 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c3) = sk_c3)),
% 0.50/0.68 inference(quant_inst,[status(thm)],[])).
% 0.50/0.68 tff(950,plain,
% 0.50/0.68 (multiply(identity, sk_c3) = sk_c3),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[949, 31])).
% 0.50/0.68 tff(951,plain,
% 0.50/0.68 (sk_c3 = multiply(identity, sk_c3)),
% 0.50/0.68 inference(symmetry,[status(thm)],[950])).
% 0.50/0.68 tff(952,plain,
% 0.50/0.68 (sk_c3 = inverse(sk_c7)),
% 0.50/0.68 inference(transitivity,[status(thm)],[951, 948, 946, 613, 89, 87, 863, 858, 3, 405])).
% 0.50/0.68 tff(953,plain,
% 0.50/0.68 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c1, sk_c7)),
% 0.50/0.68 inference(symmetry,[status(thm)],[854])).
% 0.50/0.68 tff(954,plain,
% 0.50/0.68 (multiply(multiply(sk_c6, multiply(sk_c6, sk_c6)), multiply(sk_c8, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))) = multiply(multiply(sk_c6, multiply(sk_c6, sk_c6)), sk_c8)),
% 0.50/0.68 inference(symmetry,[status(thm)],[852])).
% 0.50/0.68 tff(955,plain,
% 0.50/0.68 (multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c8, sk_c4))), multiply(sk_c6, multiply(sk_c8, sk_c7))), multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))) = multiply(multiply(multiply(sk_c6, multiply(sk_c6, sk_c6)), sk_c8), multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))),
% 0.50/0.69 inference(symmetry,[status(thm)],[845])).
% 0.50/0.69 tff(956,plain,
% 0.50/0.69 (multiply(multiply(sk_c6, identity), multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))) = multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c8, sk_c4))), multiply(sk_c6, multiply(sk_c8, sk_c7))), multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8)))),
% 0.50/0.69 inference(symmetry,[status(thm)],[838])).
% 0.50/0.69 tff(957,plain,
% 0.50/0.69 (multiply(sk_c6, multiply(sk_c8, sk_c8)) = multiply(sk_c6, multiply(identity, multiply(sk_c8, multiply(multiply(sk_c4, sk_c6), sk_c8))))),
% 0.50/0.69 inference(symmetry,[status(thm)],[835])).
% 0.50/0.69 tff(958,plain,
% 0.50/0.69 (multiply(sk_c7, sk_c8) = multiply(multiply(sk_c6, sk_c8), sk_c8)),
% 0.50/0.69 inference(symmetry,[status(thm)],[833])).
% 0.50/0.69 tff(959,plain,
% 0.50/0.69 (sk_c6 = sk_c1),
% 0.50/0.69 inference(transitivity,[status(thm)],[106, 958, 159, 957, 638, 956, 955, 610, 954, 605, 843, 728, 595, 592, 327])).
% 0.50/0.69 tff(960,plain,
% 0.50/0.69 (multiply(sk_c7, sk_c6) = multiply(inverse(sk_c1), sk_c1)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[453, 959])).
% 0.50/0.69 tff(961,plain,
% 0.50/0.69 (multiply(multiply(sk_c7, sk_c4), sk_c7) = sk_c6),
% 0.50/0.69 inference(transitivity,[status(thm)],[577, 575, 3])).
% 0.50/0.69 tff(962,plain,
% 0.50/0.69 (multiply(multiply(multiply(sk_c7, sk_c4), sk_c7), sk_c8) = multiply(sk_c6, sk_c8)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[961])).
% 0.50/0.69 tff(963,plain,
% 0.50/0.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c4), sk_c7), sk_c8) = multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c8)))),
% 0.50/0.69 inference(quant_inst,[status(thm)],[])).
% 0.50/0.69 tff(964,plain,
% 0.50/0.69 (multiply(multiply(multiply(sk_c7, sk_c4), sk_c7), sk_c8) = multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c8))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[963, 22])).
% 0.50/0.69 tff(965,plain,
% 0.50/0.69 (multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c8)) = multiply(multiply(multiply(sk_c7, sk_c4), sk_c7), sk_c8)),
% 0.50/0.69 inference(symmetry,[status(thm)],[964])).
% 0.50/0.69 tff(966,plain,
% 0.50/0.69 (multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), sk_c6) = multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c8))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[623, 106])).
% 0.50/0.69 tff(967,plain,
% 0.50/0.69 (multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), sk_c6) = sk_c7),
% 0.50/0.69 inference(transitivity,[status(thm)],[966, 965, 962, 535])).
% 0.50/0.69 tff(968,plain,
% 0.50/0.69 (multiply(multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), sk_c6), sk_c6) = multiply(sk_c7, sk_c6)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[967])).
% 0.50/0.69 tff(969,plain,
% 0.50/0.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), sk_c6), sk_c6) = multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), multiply(sk_c6, sk_c6)))),
% 0.50/0.69 inference(quant_inst,[status(thm)],[])).
% 0.50/0.69 tff(970,plain,
% 0.50/0.69 (multiply(multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), sk_c6), sk_c6) = multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), multiply(sk_c6, sk_c6))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[969, 22])).
% 0.50/0.69 tff(971,plain,
% 0.50/0.69 (multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), multiply(sk_c6, sk_c6)) = multiply(multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), sk_c6), sk_c6)),
% 0.50/0.69 inference(symmetry,[status(thm)],[970])).
% 0.50/0.69 tff(972,plain,
% 0.50/0.69 (sk_c8 = multiply(sk_c6, sk_c6)),
% 0.50/0.69 inference(transitivity,[status(thm)],[229, 891, 410, 890])).
% 0.50/0.69 tff(973,plain,
% 0.50/0.69 (multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), sk_c8) = multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), multiply(sk_c6, sk_c6))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[972])).
% 0.50/0.69 tff(974,plain,
% 0.50/0.69 (multiply(sk_c8, sk_c2) = multiply(sk_c6, sk_c7)),
% 0.50/0.69 inference(transitivity,[status(thm)],[220, 223, 114, 550])).
% 0.50/0.69 tff(975,plain,
% 0.50/0.69 (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(multiply(sk_c6, sk_c7), sk_c8)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[974])).
% 0.50/0.69 tff(976,plain,
% 0.50/0.69 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c8),
% 0.50/0.69 inference(transitivity,[status(thm)],[354, 975, 408, 228])).
% 0.50/0.69 tff(977,plain,
% 0.50/0.69 (multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), multiply(sk_c8, multiply(sk_c2, sk_c8))) = multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), sk_c8)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[976])).
% 0.50/0.69 tff(978,plain,
% 0.50/0.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), sk_c8), multiply(sk_c2, sk_c8)) = multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), multiply(sk_c8, multiply(sk_c2, sk_c8))))),
% 0.50/0.69 inference(quant_inst,[status(thm)],[])).
% 0.50/0.69 tff(979,plain,
% 0.50/0.69 (multiply(multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), sk_c8), multiply(sk_c2, sk_c8)) = multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), multiply(sk_c8, multiply(sk_c2, sk_c8)))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[978, 22])).
% 0.50/0.69 tff(980,plain,
% 0.50/0.69 (multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), sk_c8)),
% 0.50/0.69 inference(symmetry,[status(thm)],[973])).
% 0.50/0.69 tff(981,plain,
% 0.50/0.69 (multiply(sk_c7, sk_c6) = multiply(multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), sk_c6), sk_c6)),
% 0.50/0.69 inference(symmetry,[status(thm)],[968])).
% 0.50/0.69 tff(982,plain,
% 0.50/0.69 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c7, sk_c6)),
% 0.50/0.69 inference(symmetry,[status(thm)],[960])).
% 0.50/0.69 tff(983,plain,
% 0.50/0.69 (identity = multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), sk_c8)),
% 0.50/0.69 inference(transitivity,[status(thm)],[351, 982, 981, 970, 980])).
% 0.50/0.69 tff(984,plain,
% 0.50/0.69 (multiply(identity, multiply(sk_c2, sk_c8)) = multiply(multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), sk_c8), multiply(sk_c2, sk_c8))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[983])).
% 0.50/0.69 tff(985,plain,
% 0.50/0.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c2), sk_c8) = multiply(identity, multiply(sk_c2, sk_c8)))),
% 0.50/0.69 inference(quant_inst,[status(thm)],[])).
% 0.50/0.69 tff(986,plain,
% 0.50/0.69 (multiply(multiply(identity, sk_c2), sk_c8) = multiply(identity, multiply(sk_c2, sk_c8))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[985, 22])).
% 0.50/0.69 tff(987,plain,
% 0.50/0.69 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c2) = sk_c2)),
% 0.50/0.69 inference(quant_inst,[status(thm)],[])).
% 0.50/0.69 tff(988,plain,
% 0.50/0.69 (multiply(identity, sk_c2) = sk_c2),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[987, 31])).
% 0.50/0.69 tff(989,plain,
% 0.50/0.69 (sk_c2 = multiply(identity, sk_c2)),
% 0.50/0.69 inference(symmetry,[status(thm)],[988])).
% 0.50/0.69 tff(990,plain,
% 0.50/0.69 (multiply(sk_c2, sk_c8) = multiply(multiply(identity, sk_c2), sk_c8)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[989])).
% 0.50/0.69 tff(991,plain,
% 0.50/0.69 (multiply(sk_c2, sk_c8) = sk_c8),
% 0.50/0.69 inference(transitivity,[status(thm)],[990, 986, 984, 979, 977, 973, 971, 968, 960, 235, 114, 953, 819])).
% 0.50/0.69 tff(992,plain,
% 0.50/0.69 ((multiply(sk_c2, sk_c8) = sk_c3) <=> (sk_c8 = inverse(sk_c7))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[991, 952])).
% 0.50/0.69 tff(993,plain,
% 0.50/0.69 ((multiply(sk_c2, sk_c8) = sk_c3) <=> (inverse(sk_c7) = sk_c8)),
% 0.50/0.69 inference(transitivity,[status(thm)],[992, 832])).
% 0.50/0.69 tff(994,assumption,(multiply(sk_c2, sk_c8) = sk_c3), introduced(assumption)).
% 0.50/0.69 tff(995,plain,
% 0.50/0.69 (inverse(sk_c7) = sk_c8),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[994, 993])).
% 0.50/0.69 tff(996,plain,
% 0.50/0.69 (inverse(sk_c7) = sk_c7),
% 0.50/0.69 inference(transitivity,[status(thm)],[361, 106, 857, 862, 538, 88, 535])).
% 0.50/0.69 tff(997,plain,
% 0.50/0.69 (multiply(sk_c8, identity) = multiply(sk_c8, multiply(sk_c8, sk_c8))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[861])).
% 0.50/0.69 tff(998,plain,
% 0.50/0.69 (multiply(sk_c8, sk_c2) = identity),
% 0.50/0.69 inference(transitivity,[status(thm)],[220, 223])).
% 0.50/0.69 tff(999,plain,
% 0.50/0.69 (multiply(sk_c8, multiply(sk_c8, sk_c2)) = multiply(sk_c8, identity)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[998])).
% 0.50/0.69 tff(1000,plain,
% 0.50/0.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c8), sk_c2) = multiply(sk_c8, multiply(sk_c8, sk_c2)))),
% 0.50/0.69 inference(quant_inst,[status(thm)],[])).
% 0.50/0.69 tff(1001,plain,
% 0.50/0.69 (multiply(multiply(sk_c8, sk_c8), sk_c2) = multiply(sk_c8, multiply(sk_c8, sk_c2))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[1000, 22])).
% 0.50/0.69 tff(1002,plain,
% 0.50/0.69 (multiply(identity, sk_c2) = multiply(multiply(sk_c8, sk_c8), sk_c2)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[861])).
% 0.50/0.69 tff(1003,plain,
% 0.50/0.69 (sk_c2 = sk_c8),
% 0.50/0.69 inference(transitivity,[status(thm)],[989, 1002, 1001, 999, 997, 544, 542, 849, 506])).
% 0.50/0.69 tff(1004,plain,
% 0.50/0.69 (multiply(sk_c2, sk_c7) = multiply(sk_c8, sk_c7)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[1003])).
% 0.50/0.69 tff(1005,plain,
% 0.50/0.69 (multiply(sk_c2, sk_c7) = inverse(sk_c7)),
% 0.50/0.69 inference(transitivity,[status(thm)],[1004, 561, 564, 664, 570, 573, 587, 842, 611, 852, 685, 845, 838, 637, 835, 669, 833, 3, 405])).
% 0.50/0.69 tff(1006,plain,
% 0.50/0.69 ((multiply(sk_c2, sk_c7) = sk_c8) <=> (inverse(sk_c7) = sk_c8)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[1005])).
% 0.50/0.69 tff(1007,plain,
% 0.50/0.69 ((inverse(sk_c7) = sk_c8) <=> (multiply(sk_c2, sk_c7) = sk_c8)),
% 0.50/0.69 inference(symmetry,[status(thm)],[1006])).
% 0.50/0.69 tff(1008,plain,
% 0.50/0.69 ((multiply(sk_c2, sk_c8) = sk_c3) <=> (multiply(sk_c2, sk_c7) = sk_c8)),
% 0.50/0.69 inference(transitivity,[status(thm)],[993, 1007])).
% 0.50/0.69 tff(1009,plain,
% 0.50/0.69 (multiply(sk_c2, sk_c7) = sk_c8),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[994, 1008])).
% 0.50/0.69 tff(1010,plain,
% 0.50/0.69 ((sk_c7 = multiply(sk_c7, sk_c6)) <=> (multiply(sk_c7, sk_c6) = sk_c7)),
% 0.50/0.69 inference(commutativity,[status(thm)],[])).
% 0.50/0.69 tff(1011,plain,
% 0.50/0.69 (sk_c8 = multiply(sk_c7, sk_c6)),
% 0.50/0.69 inference(transitivity,[status(thm)],[855, 854, 74, 351, 982])).
% 0.50/0.69 tff(1012,plain,
% 0.50/0.69 ((inverse(sk_c7) = sk_c8) <=> (sk_c7 = multiply(sk_c7, sk_c6))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[996, 1011])).
% 0.50/0.69 tff(1013,plain,
% 0.50/0.69 ((inverse(sk_c7) = sk_c8) <=> (multiply(sk_c7, sk_c6) = sk_c7)),
% 0.50/0.69 inference(transitivity,[status(thm)],[1012, 1010])).
% 0.50/0.69 tff(1014,plain,
% 0.50/0.69 ((multiply(sk_c2, sk_c8) = sk_c3) <=> (multiply(sk_c7, sk_c6) = sk_c7)),
% 0.50/0.69 inference(transitivity,[status(thm)],[993, 1013])).
% 0.50/0.69 tff(1015,plain,
% 0.50/0.69 (multiply(sk_c7, sk_c6) = sk_c7),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[994, 1014])).
% 0.50/0.69 tff(1016,plain,
% 0.50/0.69 (multiply(sk_c4, sk_c6) = identity),
% 0.50/0.69 inference(transitivity,[status(thm)],[140, 255, 747, 548, 639, 552, 84, 859, 74])).
% 0.50/0.69 tff(1017,plain,
% 0.50/0.69 (multiply(multiply(sk_c4, sk_c6), multiply(sk_c8, sk_c6)) = multiply(identity, multiply(sk_c8, multiply(sk_c7, sk_c8)))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[1016, 868])).
% 0.50/0.69 tff(1018,plain,
% 0.50/0.69 (multiply(sk_c8, multiply(sk_c7, sk_c8)) = multiply(multiply(multiply(sk_c4, sk_c6), sk_c8), sk_c6)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[547, 3])).
% 0.50/0.69 tff(1019,plain,
% 0.50/0.69 (multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7),
% 0.50/0.69 inference(transitivity,[status(thm)],[1018, 419, 1017, 875, 874, 872, 867, 535])).
% 0.50/0.69 tff(1020,plain,
% 0.50/0.69 (sk_c6 = multiply(sk_c6, multiply(sk_c8, sk_c2))),
% 0.50/0.69 inference(transitivity,[status(thm)],[106, 958, 159, 957, 638, 956, 955, 610, 954, 605, 843])).
% 0.50/0.69 tff(1021,plain,
% 0.50/0.69 (multiply(sk_c6, sk_c1) = multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), sk_c1)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[1020])).
% 0.50/0.69 tff(1022,plain,
% 0.50/0.69 (multiply(multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), sk_c7), sk_c1) = multiply(sk_c6, sk_c1)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[709])).
% 0.50/0.69 tff(1023,plain,
% 0.50/0.69 (multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c7))) = multiply(sk_c7, sk_c1)),
% 0.50/0.69 inference(transitivity,[status(thm)],[585, 582, 579, 74, 351, 596])).
% 0.50/0.69 tff(1024,plain,
% 0.50/0.69 (multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c7)))) = multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), multiply(sk_c7, sk_c1))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[1023])).
% 0.50/0.69 tff(1025,plain,
% 0.50/0.69 (multiply(sk_c6, multiply(sk_c8, sk_c7)) = multiply(multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), sk_c7), multiply(sk_c4, multiply(sk_c7, sk_c7)))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[697, 661])).
% 0.50/0.69 tff(1026,plain,
% 0.50/0.69 (multiply(sk_c7, sk_c7) = sk_c8),
% 0.50/0.69 inference(transitivity,[status(thm)],[614, 438, 1025, 708, 1024, 702, 1022, 1021, 590, 567, 560, 558, 997, 544, 542, 849, 506])).
% 0.50/0.69 tff(1027,plain,
% 0.50/0.69 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)))),
% 0.50/0.69 inference(rewrite,[status(thm)],[])).
% 0.50/0.69 tff(1028,plain,
% 0.50/0.69 (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)))),
% 0.50/0.69 inference(rewrite,[status(thm)],[])).
% 0.50/0.69 tff(1029,plain,
% 0.50/0.69 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8))))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[1028])).
% 0.50/0.69 tff(1030,plain,
% 0.50/0.69 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)))),
% 0.50/0.69 inference(transitivity,[status(thm)],[1029, 1027])).
% 0.50/0.69 tff(1031,plain,
% 0.50/0.69 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)))),
% 0.50/0.69 inference(quant_inst,[status(thm)],[])).
% 0.50/0.69 tff(1032,plain,
% 0.50/0.69 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8))),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[1031, 1030])).
% 0.50/0.69 tff(1033,plain,
% 0.50/0.69 ((~(multiply(sk_c6, sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[1032, 3, 361, 218, 209])).
% 0.50/0.69 tff(1034,plain,
% 0.50/0.69 ((~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c2, sk_c7) = sk_c8))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[1033, 535, 1026, 1019])).
% 0.50/0.69 tff(1035,plain,
% 0.50/0.69 ($false),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[1034, 1015, 1009, 996, 995])).
% 0.50/0.69 tff(1036,plain,(~(multiply(sk_c2, sk_c8) = sk_c3)), inference(lemma,lemma(discharge,[]))).
% 0.50/0.70 tff(1037,plain,
% 0.50/0.70 (((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c5, sk_c6) = sk_c7)) <=> ((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c5, sk_c6) = sk_c7))),
% 0.50/0.70 inference(rewrite,[status(thm)],[])).
% 0.50/0.70 tff(1038,axiom,((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c5, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_25')).
% 0.50/0.70 tff(1039,plain,
% 0.50/0.70 ((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c5, sk_c6) = sk_c7)),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[1038, 1037])).
% 0.50/0.70 tff(1040,plain,
% 0.50/0.70 (multiply(sk_c5, sk_c6) = sk_c7),
% 0.50/0.70 inference(unit_resolution,[status(thm)],[1039, 1036])).
% 0.50/0.70 tff(1041,plain,
% 0.50/0.70 (multiply(sk_c6, multiply(sk_c8, sk_c2)) = sk_c6),
% 0.50/0.70 inference(transitivity,[status(thm)],[612, 611, 823, 685, 822, 821, 637, 820, 669, 668, 3])).
% 0.50/0.70 tff(1042,plain,
% 0.50/0.70 (multiply(sk_c5, multiply(sk_c6, multiply(sk_c8, sk_c2))) = multiply(sk_c5, sk_c6)),
% 0.50/0.70 inference(monotonicity,[status(thm)],[1041])).
% 0.50/0.70 tff(1043,plain,
% 0.50/0.70 (multiply(sk_c5, multiply(sk_c6, multiply(sk_c8, sk_c2))) = sk_c1),
% 0.50/0.70 inference(transitivity,[status(thm)],[1042, 1040, 613, 536, 87, 831, 829, 642, 159, 641, 638, 635, 630, 610, 608, 605, 603, 598, 595, 592, 327])).
% 0.50/0.70 tff(1044,plain,
% 0.50/0.70 (multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), multiply(sk_c5, multiply(sk_c6, multiply(sk_c8, sk_c2)))) = multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), sk_c1)),
% 0.50/0.70 inference(monotonicity,[status(thm)],[1043])).
% 0.50/0.70 tff(1045,plain,
% 0.50/0.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), sk_c5), multiply(sk_c6, multiply(sk_c8, sk_c2))) = multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), multiply(sk_c5, multiply(sk_c6, multiply(sk_c8, sk_c2)))))),
% 0.50/0.70 inference(quant_inst,[status(thm)],[])).
% 0.50/0.70 tff(1046,plain,
% 0.50/0.70 (multiply(multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), sk_c5), multiply(sk_c6, multiply(sk_c8, sk_c2))) = multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), multiply(sk_c5, multiply(sk_c6, multiply(sk_c8, sk_c2))))),
% 0.50/0.70 inference(unit_resolution,[status(thm)],[1045, 22])).
% 0.50/0.70 tff(1047,plain,
% 0.50/0.70 (sk_c1 = multiply(sk_c6, multiply(sk_c8, sk_c2))),
% 0.50/0.70 inference(transitivity,[status(thm)],[814, 591, 594, 824])).
% 0.50/0.70 tff(1048,plain,
% 0.50/0.70 (((inverse(sk_c5) = sk_c7) | (multiply(sk_c2, sk_c8) = sk_c3)) <=> ((inverse(sk_c5) = sk_c7) | (multiply(sk_c2, sk_c8) = sk_c3))),
% 0.50/0.70 inference(rewrite,[status(thm)],[])).
% 0.50/0.70 tff(1049,plain,
% 0.50/0.70 (((multiply(sk_c2, sk_c8) = sk_c3) | (inverse(sk_c5) = sk_c7)) <=> ((inverse(sk_c5) = sk_c7) | (multiply(sk_c2, sk_c8) = sk_c3))),
% 0.50/0.70 inference(rewrite,[status(thm)],[])).
% 0.50/0.70 tff(1050,axiom,((multiply(sk_c2, sk_c8) = sk_c3) | (inverse(sk_c5) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_24')).
% 0.50/0.70 tff(1051,plain,
% 0.50/0.70 ((inverse(sk_c5) = sk_c7) | (multiply(sk_c2, sk_c8) = sk_c3)),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[1050, 1049])).
% 0.50/0.70 tff(1052,plain,
% 0.50/0.70 ((inverse(sk_c5) = sk_c7) | (multiply(sk_c2, sk_c8) = sk_c3)),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[1051, 1048])).
% 0.50/0.70 tff(1053,plain,
% 0.50/0.70 (inverse(sk_c5) = sk_c7),
% 0.50/0.70 inference(unit_resolution,[status(thm)],[1052, 1036])).
% 0.50/0.70 tff(1054,plain,
% 0.50/0.70 (sk_c7 = inverse(sk_c5)),
% 0.50/0.70 inference(symmetry,[status(thm)],[1053])).
% 0.50/0.70 tff(1055,plain,
% 0.50/0.70 (multiply(sk_c6, multiply(sk_c8, sk_c2)) = inverse(sk_c5)),
% 0.50/0.70 inference(transitivity,[status(thm)],[612, 611, 823, 685, 822, 821, 637, 820, 669, 668, 865, 864, 538, 537, 535, 1054])).
% 0.50/0.70 tff(1056,plain,
% 0.50/0.70 (multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 0.50/0.70 inference(monotonicity,[status(thm)],[1055])).
% 0.50/0.70 tff(1057,plain,
% 0.50/0.70 (multiply(inverse(sk_c5), sk_c5) = multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), sk_c5)),
% 0.50/0.70 inference(symmetry,[status(thm)],[1056])).
% 0.50/0.70 tff(1058,plain,
% 0.50/0.70 (multiply(sk_c6, sk_c7) = multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), sk_c5)),
% 0.50/0.70 inference(transitivity,[status(thm)],[406, 74, 134, 1057])).
% 0.50/0.70 tff(1059,plain,
% 0.50/0.70 (multiply(multiply(sk_c6, sk_c7), sk_c1) = multiply(multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), sk_c5), multiply(sk_c6, multiply(sk_c8, sk_c2)))),
% 0.50/0.70 inference(monotonicity,[status(thm)],[1058, 1047])).
% 0.50/0.70 tff(1060,plain,
% 0.50/0.70 (inverse(sk_c7) = sk_c8),
% 0.50/0.70 inference(transitivity,[status(thm)],[361, 106, 642, 159, 641, 638, 635, 630, 610, 608, 605, 603, 598, 595, 1059, 1046, 1044, 590, 567, 560, 558, 557, 544, 542, 540, 506])).
% 0.50/0.70 tff(1061,plain,
% 0.50/0.70 (multiply(identity, sk_c3) = multiply(sk_c8, sk_c3)),
% 0.50/0.70 inference(monotonicity,[status(thm)],[828])).
% 0.50/0.70 tff(1062,plain,
% 0.50/0.70 (sk_c3 = inverse(sk_c7)),
% 0.50/0.70 inference(transitivity,[status(thm)],[951, 1061, 946, 613, 536, 87, 831, 829, 3, 405])).
% 0.50/0.70 tff(1063,plain,
% 0.50/0.70 (sk_c6 = sk_c1),
% 0.50/0.70 inference(transitivity,[status(thm)],[106, 642, 159, 641, 638, 635, 630, 610, 608, 605, 603, 598, 595, 592, 327])).
% 0.50/0.70 tff(1064,plain,
% 0.50/0.70 (multiply(sk_c7, sk_c6) = multiply(inverse(sk_c1), sk_c1)),
% 0.50/0.70 inference(monotonicity,[status(thm)],[453, 1063])).
% 0.50/0.70 tff(1065,plain,
% 0.50/0.70 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c7, sk_c6)),
% 0.50/0.70 inference(symmetry,[status(thm)],[1064])).
% 0.50/0.70 tff(1066,plain,
% 0.50/0.70 (identity = multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), sk_c8)),
% 0.50/0.70 inference(transitivity,[status(thm)],[351, 1065, 981, 970, 980])).
% 0.50/0.70 tff(1067,plain,
% 0.50/0.70 (multiply(identity, multiply(sk_c2, sk_c8)) = multiply(multiply(multiply(sk_c6, multiply(sk_c8, sk_c4)), sk_c8), multiply(sk_c2, sk_c8))),
% 0.50/0.70 inference(monotonicity,[status(thm)],[1066])).
% 0.50/0.70 tff(1068,plain,
% 0.50/0.70 (multiply(sk_c2, sk_c8) = sk_c8),
% 0.50/0.70 inference(transitivity,[status(thm)],[990, 986, 1067, 979, 977, 973, 971, 968, 1064, 235, 114, 827, 819])).
% 0.50/0.70 tff(1069,plain,
% 0.50/0.70 ((multiply(sk_c2, sk_c8) = sk_c3) <=> (sk_c8 = inverse(sk_c7))),
% 0.50/0.70 inference(monotonicity,[status(thm)],[1068, 1062])).
% 0.50/0.70 tff(1070,plain,
% 0.50/0.70 ((multiply(sk_c2, sk_c8) = sk_c3) <=> (inverse(sk_c7) = sk_c8)),
% 0.50/0.70 inference(transitivity,[status(thm)],[1069, 832])).
% 0.50/0.70 tff(1071,plain,
% 0.50/0.70 ((~(multiply(sk_c2, sk_c8) = sk_c3)) <=> (~(inverse(sk_c7) = sk_c8))),
% 0.50/0.70 inference(monotonicity,[status(thm)],[1070])).
% 0.50/0.70 tff(1072,plain,
% 0.50/0.70 (~(inverse(sk_c7) = sk_c8)),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[1036, 1071])).
% 0.50/0.70 tff(1073,plain,
% 0.50/0.70 ($false),
% 0.50/0.70 inference(unit_resolution,[status(thm)],[1072, 1060])).
% 0.50/0.70 % SZS output end Proof
% 0.50/0.70 % E exiting
%------------------------------------------------------------------------------