%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GRP309-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n016.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 05:07:35 AM UTC 2025
% Result : Unsatisfiable 0.84s 1.07s
% Output : Proof 0.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP309-1 : TPTP v9.0.0. Released v2.5.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Jun 19 15:55:47 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.84/1.07 % SZS status Unsatisfiable
% 0.84/1.07 % SZS output start Proof
% 0.84/1.07 tff(sk_c6_type, type, (
% 0.84/1.07 sk_c6: $i)).
% 0.84/1.07 tff(multiply_type, type, (
% 0.84/1.07 multiply: ( $i * $i ) > $i)).
% 0.84/1.07 tff(sk_c7_type, type, (
% 0.84/1.07 sk_c7: $i)).
% 0.84/1.07 tff(inverse_type, type, (
% 0.84/1.07 inverse: $i > $i)).
% 0.84/1.07 tff(sk_c5_type, type, (
% 0.84/1.07 sk_c5: $i)).
% 0.84/1.07 tff(sk_c3_type, type, (
% 0.84/1.07 sk_c3: $i)).
% 0.84/1.07 tff(sk_c4_type, type, (
% 0.84/1.07 sk_c4: $i)).
% 0.84/1.07 tff(identity_type, type, (
% 0.84/1.07 identity: $i)).
% 0.84/1.07 tff(sk_c1_type, type, (
% 0.84/1.07 sk_c1: $i)).
% 0.84/1.07 tff(sk_c2_type, type, (
% 0.84/1.07 sk_c2: $i)).
% 0.84/1.07 tff(1,plain,
% 0.84/1.07 ((sk_c6 = inverse(sk_c3)) <=> (inverse(sk_c3) = sk_c6)),
% 0.84/1.07 inference(commutativity,[status(thm)],[])).
% 0.84/1.07 tff(2,assumption,(~(inverse(sk_c7) = sk_c5)), introduced(assumption)).
% 0.84/1.07 tff(3,plain,
% 0.84/1.07 (((inverse(sk_c3) = sk_c7) | (inverse(sk_c7) = sk_c5)) <=> ((inverse(sk_c3) = sk_c7) | (inverse(sk_c7) = sk_c5))),
% 0.84/1.07 inference(rewrite,[status(thm)],[])).
% 0.84/1.07 tff(4,plain,
% 0.84/1.07 (((inverse(sk_c7) = sk_c5) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c3) = sk_c7) | (inverse(sk_c7) = sk_c5))),
% 0.84/1.07 inference(rewrite,[status(thm)],[])).
% 0.84/1.07 tff(5,axiom,((inverse(sk_c7) = sk_c5) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_6')).
% 0.84/1.07 tff(6,plain,
% 0.84/1.07 ((inverse(sk_c3) = sk_c7) | (inverse(sk_c7) = sk_c5)),
% 0.84/1.07 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.84/1.07 tff(7,plain,
% 0.84/1.07 ((inverse(sk_c3) = sk_c7) | (inverse(sk_c7) = sk_c5)),
% 0.84/1.07 inference(modus_ponens,[status(thm)],[6, 3])).
% 0.84/1.07 tff(8,plain,
% 0.84/1.07 (inverse(sk_c3) = sk_c7),
% 0.84/1.07 inference(unit_resolution,[status(thm)],[7, 2])).
% 0.84/1.07 tff(9,plain,
% 0.84/1.07 (sk_c7 = inverse(sk_c3)),
% 0.84/1.07 inference(symmetry,[status(thm)],[8])).
% 0.84/1.07 tff(10,plain,
% 0.84/1.07 ((multiply(sk_c5, sk_c6) = sk_c7) <=> (multiply(sk_c5, sk_c6) = sk_c7)),
% 0.84/1.07 inference(rewrite,[status(thm)],[])).
% 0.84/1.07 tff(11,axiom,(multiply(sk_c5, sk_c6) = sk_c7), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_9')).
% 0.84/1.07 tff(12,plain,
% 0.84/1.07 (multiply(sk_c5, sk_c6) = sk_c7),
% 0.84/1.07 inference(modus_ponens,[status(thm)],[11, 10])).
% 0.84/1.07 tff(13,plain,
% 0.84/1.07 (^[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))))),
% 0.84/1.07 inference(bind,[status(th)],[])).
% 0.84/1.07 tff(14,plain,
% 0.84/1.07 (![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)))),
% 0.84/1.07 inference(quant_intro,[status(thm)],[13])).
% 0.84/1.07 tff(15,plain,
% 0.84/1.07 (![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)))),
% 0.84/1.07 inference(rewrite,[status(thm)],[])).
% 0.84/1.07 tff(16,axiom,(![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))), file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax','associativity')).
% 0.84/1.07 tff(17,plain,
% 0.84/1.07 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.84/1.07 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.84/1.07 tff(18,plain,(
% 0.84/1.07 ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.84/1.08 inference(skolemize,[status(sab)],[17])).
% 0.84/1.08 tff(19,plain,
% 0.84/1.08 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.84/1.08 inference(modus_ponens,[status(thm)],[18, 14])).
% 0.84/1.08 tff(20,plain,
% 0.84/1.08 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c3), sk_c7) = multiply(sk_c4, multiply(sk_c3, sk_c7)))),
% 0.84/1.08 inference(quant_inst,[status(thm)],[])).
% 0.84/1.08 tff(21,plain,
% 0.84/1.08 (multiply(multiply(sk_c4, sk_c3), sk_c7) = multiply(sk_c4, multiply(sk_c3, sk_c7))),
% 0.84/1.08 inference(unit_resolution,[status(thm)],[20, 19])).
% 0.84/1.08 tff(22,plain,
% 0.84/1.08 (multiply(sk_c4, multiply(sk_c3, sk_c7)) = multiply(multiply(sk_c4, sk_c3), sk_c7)),
% 0.84/1.08 inference(symmetry,[status(thm)],[21])).
% 0.84/1.08 tff(23,plain,
% 0.84/1.08 (((inverse(sk_c7) = sk_c5) | (multiply(sk_c3, sk_c7) = sk_c6)) <=> ((inverse(sk_c7) = sk_c5) | (multiply(sk_c3, sk_c7) = sk_c6))),
% 0.84/1.08 inference(rewrite,[status(thm)],[])).
% 0.84/1.08 tff(24,axiom,((inverse(sk_c7) = sk_c5) | (multiply(sk_c3, sk_c7) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_5')).
% 0.84/1.08 tff(25,plain,
% 0.84/1.08 ((inverse(sk_c7) = sk_c5) | (multiply(sk_c3, sk_c7) = sk_c6)),
% 0.84/1.08 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.84/1.08 tff(26,plain,
% 0.84/1.08 (multiply(sk_c3, sk_c7) = sk_c6),
% 0.84/1.08 inference(unit_resolution,[status(thm)],[25, 2])).
% 0.84/1.08 tff(27,plain,
% 0.84/1.08 (multiply(sk_c4, multiply(sk_c3, sk_c7)) = multiply(sk_c4, sk_c6)),
% 0.84/1.08 inference(monotonicity,[status(thm)],[26])).
% 0.84/1.08 tff(28,plain,
% 0.84/1.08 (multiply(sk_c4, sk_c6) = multiply(sk_c4, multiply(sk_c3, sk_c7))),
% 0.84/1.08 inference(symmetry,[status(thm)],[27])).
% 0.84/1.08 tff(29,plain,
% 0.84/1.08 (((inverse(sk_c7) = sk_c5) | (multiply(sk_c4, sk_c6) = sk_c5)) <=> ((inverse(sk_c7) = sk_c5) | (multiply(sk_c4, sk_c6) = sk_c5))),
% 0.84/1.08 inference(rewrite,[status(thm)],[])).
% 0.84/1.08 tff(30,axiom,((inverse(sk_c7) = sk_c5) | (multiply(sk_c4, sk_c6) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_7')).
% 0.84/1.08 tff(31,plain,
% 0.84/1.08 ((inverse(sk_c7) = sk_c5) | (multiply(sk_c4, sk_c6) = sk_c5)),
% 0.84/1.08 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.84/1.08 tff(32,plain,
% 0.84/1.08 (multiply(sk_c4, sk_c6) = sk_c5),
% 0.84/1.08 inference(unit_resolution,[status(thm)],[31, 2])).
% 0.84/1.08 tff(33,plain,
% 0.84/1.08 (sk_c5 = multiply(sk_c4, sk_c6)),
% 0.84/1.08 inference(symmetry,[status(thm)],[32])).
% 0.84/1.08 tff(34,plain,
% 0.84/1.08 (sk_c5 = multiply(multiply(sk_c4, sk_c3), sk_c7)),
% 0.84/1.08 inference(transitivity,[status(thm)],[33, 28, 22])).
% 0.84/1.08 tff(35,plain,
% 0.84/1.08 (multiply(sk_c5, sk_c6) = multiply(multiply(multiply(sk_c4, sk_c3), sk_c7), sk_c6)),
% 0.84/1.08 inference(monotonicity,[status(thm)],[34])).
% 0.84/1.08 tff(36,plain,
% 0.84/1.08 (multiply(multiply(multiply(sk_c4, sk_c3), sk_c7), sk_c6) = multiply(sk_c5, sk_c6)),
% 0.84/1.08 inference(symmetry,[status(thm)],[35])).
% 0.84/1.08 tff(37,plain,
% 0.84/1.08 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c3), sk_c7), sk_c6) = multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c6)))),
% 0.84/1.08 inference(quant_inst,[status(thm)],[])).
% 0.84/1.08 tff(38,plain,
% 0.84/1.08 (multiply(multiply(multiply(sk_c4, sk_c3), sk_c7), sk_c6) = multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c6))),
% 0.84/1.08 inference(unit_resolution,[status(thm)],[37, 19])).
% 0.84/1.08 tff(39,plain,
% 0.84/1.08 (multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c6)) = multiply(multiply(multiply(sk_c4, sk_c3), sk_c7), sk_c6)),
% 0.84/1.08 inference(symmetry,[status(thm)],[38])).
% 0.84/1.08 tff(40,plain,
% 0.84/1.08 (^[X: $i] : refl((multiply(identity, X) = X) <=> (multiply(identity, X) = X))),
% 0.84/1.08 inference(bind,[status(th)],[])).
% 0.84/1.08 tff(41,plain,
% 0.84/1.08 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 0.84/1.08 inference(quant_intro,[status(thm)],[40])).
% 0.84/1.08 tff(42,plain,
% 0.84/1.08 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 0.84/1.08 inference(rewrite,[status(thm)],[])).
% 0.84/1.08 tff(43,axiom,(![X: $i] : (multiply(identity, X) = X)), file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax','left_identity')).
% 0.84/1.08 tff(44,plain,
% 0.84/1.08 (![X: $i] : (multiply(identity, X) = X)),
% 0.84/1.08 inference(modus_ponens,[status(thm)],[43, 42])).
% 0.84/1.08 tff(45,plain,(
% 0.84/1.08 ![X: $i] : (multiply(identity, X) = X)),
% 0.84/1.08 inference(skolemize,[status(sab)],[44])).
% 0.84/1.08 tff(46,plain,
% 0.84/1.08 (![X: $i] : (multiply(identity, X) = X)),
% 0.84/1.08 inference(modus_ponens,[status(thm)],[45, 41])).
% 0.84/1.08 tff(47,plain,
% 0.84/1.08 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c7) = sk_c7)),
% 0.84/1.08 inference(quant_inst,[status(thm)],[])).
% 0.84/1.08 tff(48,plain,
% 0.84/1.08 (multiply(identity, sk_c7) = sk_c7),
% 0.84/1.08 inference(unit_resolution,[status(thm)],[47, 46])).
% 0.84/1.08 tff(49,plain,
% 0.84/1.08 (^[X: $i] : refl((multiply(inverse(X), X) = identity) <=> (multiply(inverse(X), X) = identity))),
% 0.84/1.08 inference(bind,[status(th)],[])).
% 0.84/1.08 tff(50,plain,
% 0.84/1.08 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.84/1.08 inference(quant_intro,[status(thm)],[49])).
% 0.84/1.08 tff(51,plain,
% 0.84/1.08 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.84/1.08 inference(rewrite,[status(thm)],[])).
% 0.84/1.08 tff(52,axiom,(![X: $i] : (multiply(inverse(X), X) = identity)), file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax','left_inverse')).
% 0.84/1.08 tff(53,plain,
% 0.84/1.08 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.84/1.08 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.84/1.08 tff(54,plain,(
% 0.84/1.08 ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.84/1.08 inference(skolemize,[status(sab)],[53])).
% 0.84/1.08 tff(55,plain,
% 0.84/1.08 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.84/1.08 inference(modus_ponens,[status(thm)],[54, 50])).
% 0.84/1.08 tff(56,plain,
% 0.84/1.08 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c3), sk_c3) = identity)),
% 0.84/1.08 inference(quant_inst,[status(thm)],[])).
% 0.84/1.08 tff(57,plain,
% 0.84/1.08 (multiply(inverse(sk_c3), sk_c3) = identity),
% 0.84/1.08 inference(unit_resolution,[status(thm)],[56, 55])).
% 0.84/1.08 tff(58,plain,
% 0.84/1.08 (multiply(sk_c7, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 0.84/1.08 inference(monotonicity,[status(thm)],[9])).
% 0.84/1.08 tff(59,plain,
% 0.84/1.08 (multiply(sk_c7, sk_c3) = identity),
% 0.84/1.08 inference(transitivity,[status(thm)],[58, 57])).
% 0.84/1.08 tff(60,plain,
% 0.84/1.08 (multiply(multiply(sk_c7, sk_c3), sk_c7) = multiply(identity, sk_c7)),
% 0.84/1.08 inference(monotonicity,[status(thm)],[59])).
% 0.84/1.08 tff(61,plain,
% 0.84/1.08 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c3), sk_c7) = multiply(sk_c7, multiply(sk_c3, sk_c7)))),
% 0.84/1.08 inference(quant_inst,[status(thm)],[])).
% 0.84/1.08 tff(62,plain,
% 0.84/1.08 (multiply(multiply(sk_c7, sk_c3), sk_c7) = multiply(sk_c7, multiply(sk_c3, sk_c7))),
% 0.84/1.08 inference(unit_resolution,[status(thm)],[61, 19])).
% 0.84/1.08 tff(63,plain,
% 0.84/1.08 (multiply(sk_c7, multiply(sk_c3, sk_c7)) = multiply(multiply(sk_c7, sk_c3), sk_c7)),
% 0.84/1.08 inference(symmetry,[status(thm)],[62])).
% 0.84/1.08 tff(64,plain,
% 0.84/1.08 (sk_c6 = multiply(sk_c3, sk_c7)),
% 0.84/1.08 inference(symmetry,[status(thm)],[26])).
% 0.84/1.08 tff(65,plain,
% 0.84/1.08 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c3, sk_c7))),
% 0.84/1.08 inference(monotonicity,[status(thm)],[64])).
% 0.84/1.08 tff(66,plain,
% 0.84/1.08 (multiply(sk_c7, sk_c6) = sk_c7),
% 0.84/1.08 inference(transitivity,[status(thm)],[65, 63, 60, 48])).
% 0.84/1.08 tff(67,plain,
% 0.84/1.08 (multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c4, sk_c3), sk_c7)),
% 0.84/1.08 inference(monotonicity,[status(thm)],[66])).
% 0.84/1.08 tff(68,plain,
% 0.84/1.08 (multiply(multiply(sk_c4, sk_c3), sk_c7) = multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c6))),
% 0.84/1.08 inference(symmetry,[status(thm)],[67])).
% 0.84/1.08 tff(69,plain,
% 0.84/1.08 (sk_c5 = inverse(sk_c3)),
% 0.84/1.08 inference(transitivity,[status(thm)],[33, 28, 22, 68, 39, 36, 12, 9])).
% 0.84/1.08 tff(70,plain,
% 0.84/1.08 (((inverse(sk_c4) = sk_c6) | (inverse(sk_c7) = sk_c5)) <=> ((inverse(sk_c4) = sk_c6) | (inverse(sk_c7) = sk_c5))),
% 0.84/1.08 inference(rewrite,[status(thm)],[])).
% 0.84/1.08 tff(71,plain,
% 0.84/1.08 (((inverse(sk_c7) = sk_c5) | (inverse(sk_c4) = sk_c6)) <=> ((inverse(sk_c4) = sk_c6) | (inverse(sk_c7) = sk_c5))),
% 0.84/1.08 inference(rewrite,[status(thm)],[])).
% 0.84/1.08 tff(72,axiom,((inverse(sk_c7) = sk_c5) | (inverse(sk_c4) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_8')).
% 0.84/1.08 tff(73,plain,
% 0.84/1.08 ((inverse(sk_c4) = sk_c6) | (inverse(sk_c7) = sk_c5)),
% 0.84/1.08 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.84/1.08 tff(74,plain,
% 0.84/1.08 ((inverse(sk_c4) = sk_c6) | (inverse(sk_c7) = sk_c5)),
% 0.84/1.08 inference(modus_ponens,[status(thm)],[73, 70])).
% 0.84/1.08 tff(75,plain,
% 0.84/1.08 (inverse(sk_c4) = sk_c6),
% 0.84/1.08 inference(unit_resolution,[status(thm)],[74, 2])).
% 0.84/1.08 tff(76,plain,
% 0.84/1.08 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c4) = sk_c4)),
% 0.84/1.08 inference(quant_inst,[status(thm)],[])).
% 0.84/1.08 tff(77,plain,
% 0.84/1.08 (multiply(identity, sk_c4) = sk_c4),
% 0.84/1.08 inference(unit_resolution,[status(thm)],[76, 46])).
% 0.84/1.08 tff(78,plain,
% 0.84/1.08 (sk_c6 = inverse(sk_c4)),
% 0.84/1.08 inference(symmetry,[status(thm)],[75])).
% 0.84/1.08 tff(79,plain,
% 0.84/1.08 (multiply(sk_c6, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 0.84/1.08 inference(monotonicity,[status(thm)],[78])).
% 0.84/1.08 tff(80,plain,
% 0.84/1.08 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c6, sk_c4)),
% 0.84/1.08 inference(symmetry,[status(thm)],[79])).
% 0.84/1.08 tff(81,plain,
% 0.84/1.08 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c4), sk_c4) = identity)),
% 0.84/1.08 inference(quant_inst,[status(thm)],[])).
% 0.84/1.08 tff(82,plain,
% 0.84/1.08 (multiply(inverse(sk_c4), sk_c4) = identity),
% 0.84/1.08 inference(unit_resolution,[status(thm)],[81, 55])).
% 0.91/1.08 tff(83,plain,
% 0.91/1.08 (identity = multiply(inverse(sk_c4), sk_c4)),
% 0.91/1.08 inference(symmetry,[status(thm)],[82])).
% 0.91/1.08 tff(84,plain,
% 0.91/1.08 (identity = multiply(sk_c6, sk_c4)),
% 0.91/1.08 inference(transitivity,[status(thm)],[83, 80])).
% 0.91/1.08 tff(85,plain,
% 0.91/1.08 (multiply(multiply(sk_c4, sk_c3), sk_c7) = sk_c5),
% 0.91/1.08 inference(transitivity,[status(thm)],[21, 27, 32])).
% 0.91/1.08 tff(86,plain,
% 0.91/1.08 (multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)) = multiply(sk_c3, sk_c5)),
% 0.91/1.08 inference(monotonicity,[status(thm)],[85])).
% 0.91/1.08 tff(87,plain,
% 0.91/1.08 (multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), identity) = multiply(multiply(sk_c3, sk_c5), multiply(sk_c6, sk_c4))),
% 0.91/1.08 inference(monotonicity,[status(thm)],[86, 84])).
% 0.91/1.08 tff(88,plain,
% 0.91/1.08 (multiply(multiply(sk_c3, sk_c5), multiply(sk_c6, sk_c4)) = multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), identity)),
% 0.91/1.08 inference(symmetry,[status(thm)],[87])).
% 0.91/1.08 tff(89,plain,
% 0.91/1.08 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, sk_c5), sk_c6), sk_c4) = multiply(multiply(sk_c3, sk_c5), multiply(sk_c6, sk_c4)))),
% 0.91/1.08 inference(quant_inst,[status(thm)],[])).
% 0.91/1.08 tff(90,plain,
% 0.91/1.08 (multiply(multiply(multiply(sk_c3, sk_c5), sk_c6), sk_c4) = multiply(multiply(sk_c3, sk_c5), multiply(sk_c6, sk_c4))),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[89, 19])).
% 0.91/1.08 tff(91,plain,
% 0.91/1.08 (multiply(sk_c3, multiply(sk_c5, sk_c6)) = multiply(sk_c3, sk_c7)),
% 0.91/1.08 inference(monotonicity,[status(thm)],[12])).
% 0.91/1.08 tff(92,plain,
% 0.91/1.08 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c5), sk_c6) = multiply(sk_c3, multiply(sk_c5, sk_c6)))),
% 0.91/1.08 inference(quant_inst,[status(thm)],[])).
% 0.91/1.08 tff(93,plain,
% 0.91/1.08 (multiply(multiply(sk_c3, sk_c5), sk_c6) = multiply(sk_c3, multiply(sk_c5, sk_c6))),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[92, 19])).
% 0.91/1.08 tff(94,plain,
% 0.91/1.08 (multiply(multiply(sk_c3, sk_c5), sk_c6) = inverse(sk_c4)),
% 0.91/1.08 inference(transitivity,[status(thm)],[93, 91, 26, 78])).
% 0.91/1.08 tff(95,plain,
% 0.91/1.08 (multiply(multiply(multiply(sk_c3, sk_c5), sk_c6), sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 0.91/1.08 inference(monotonicity,[status(thm)],[94])).
% 0.91/1.08 tff(96,plain,
% 0.91/1.08 (multiply(inverse(sk_c4), sk_c4) = multiply(multiply(multiply(sk_c3, sk_c5), sk_c6), sk_c4)),
% 0.91/1.08 inference(symmetry,[status(thm)],[95])).
% 0.91/1.08 tff(97,plain,
% 0.91/1.08 (identity = multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), identity)),
% 0.91/1.08 inference(transitivity,[status(thm)],[83, 96, 90, 88])).
% 0.91/1.08 tff(98,plain,
% 0.91/1.08 (multiply(identity, sk_c4) = multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), identity), sk_c4)),
% 0.91/1.08 inference(monotonicity,[status(thm)],[97])).
% 0.91/1.08 tff(99,plain,
% 0.91/1.08 (multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), identity), sk_c4) = multiply(identity, sk_c4)),
% 0.91/1.08 inference(symmetry,[status(thm)],[98])).
% 0.91/1.08 tff(100,plain,
% 0.91/1.08 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), identity), sk_c4) = multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), multiply(identity, sk_c4)))),
% 0.91/1.08 inference(quant_inst,[status(thm)],[])).
% 0.91/1.08 tff(101,plain,
% 0.91/1.08 (multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), identity), sk_c4) = multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), multiply(identity, sk_c4))),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[100, 19])).
% 0.91/1.08 tff(102,plain,
% 0.91/1.08 (multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), multiply(identity, sk_c4)) = multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), identity), sk_c4)),
% 0.91/1.08 inference(symmetry,[status(thm)],[101])).
% 0.91/1.08 tff(103,plain,
% 0.91/1.08 (multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), multiply(identity, sk_c4)) = multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), sk_c4)),
% 0.91/1.08 inference(monotonicity,[status(thm)],[77])).
% 0.91/1.08 tff(104,plain,
% 0.91/1.08 (multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), sk_c4) = multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), multiply(identity, sk_c4))),
% 0.91/1.08 inference(symmetry,[status(thm)],[103])).
% 0.91/1.08 tff(105,plain,
% 0.91/1.08 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3))), sk_c7) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3)), sk_c7)))),
% 0.91/1.08 inference(quant_inst,[status(thm)],[])).
% 0.91/1.08 tff(106,plain,
% 0.91/1.08 (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3))), sk_c7) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3)), sk_c7))),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[105, 19])).
% 0.91/1.08 tff(107,plain,
% 0.91/1.08 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3)), sk_c7)) = multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3))), sk_c7)),
% 0.91/1.08 inference(symmetry,[status(thm)],[106])).
% 0.91/1.08 tff(108,plain,
% 0.91/1.08 (multiply(sk_c5, multiply(sk_c3, sk_c7)) = multiply(sk_c5, sk_c6)),
% 0.91/1.08 inference(monotonicity,[status(thm)],[26])).
% 0.91/1.08 tff(109,plain,
% 0.91/1.08 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c3), sk_c7) = multiply(sk_c5, multiply(sk_c3, sk_c7)))),
% 0.91/1.08 inference(quant_inst,[status(thm)],[])).
% 0.91/1.08 tff(110,plain,
% 0.91/1.08 (multiply(multiply(sk_c5, sk_c3), sk_c7) = multiply(sk_c5, multiply(sk_c3, sk_c7))),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[109, 19])).
% 0.91/1.08 tff(111,plain,
% 0.91/1.08 (multiply(sk_c5, sk_c3) = multiply(multiply(multiply(sk_c4, sk_c3), sk_c7), sk_c3)),
% 0.91/1.08 inference(monotonicity,[status(thm)],[34])).
% 0.91/1.08 tff(112,plain,
% 0.91/1.08 (multiply(multiply(multiply(sk_c4, sk_c3), sk_c7), sk_c3) = multiply(sk_c5, sk_c3)),
% 0.91/1.08 inference(symmetry,[status(thm)],[111])).
% 0.91/1.08 tff(113,plain,
% 0.91/1.08 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c3), sk_c7), sk_c3) = multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3)))),
% 0.91/1.08 inference(quant_inst,[status(thm)],[])).
% 0.91/1.08 tff(114,plain,
% 0.91/1.08 (multiply(multiply(multiply(sk_c4, sk_c3), sk_c7), sk_c3) = multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3))),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[113, 19])).
% 0.91/1.08 tff(115,plain,
% 0.91/1.08 (multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3)) = multiply(multiply(multiply(sk_c4, sk_c3), sk_c7), sk_c3)),
% 0.91/1.08 inference(symmetry,[status(thm)],[114])).
% 0.91/1.08 tff(116,plain,
% 0.91/1.08 (multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3)) = multiply(sk_c5, sk_c3)),
% 0.91/1.08 inference(transitivity,[status(thm)],[115, 112])).
% 0.91/1.08 tff(117,plain,
% 0.91/1.08 (multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3)), sk_c7) = multiply(multiply(sk_c5, sk_c3), sk_c7)),
% 0.91/1.08 inference(monotonicity,[status(thm)],[116])).
% 0.91/1.08 tff(118,plain,
% 0.91/1.08 (multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3)), sk_c7) = sk_c7),
% 0.91/1.08 inference(transitivity,[status(thm)],[117, 110, 108, 12])).
% 0.91/1.08 tff(119,plain,
% 0.91/1.08 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3)), sk_c7)) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), sk_c7)),
% 0.91/1.08 inference(monotonicity,[status(thm)],[118])).
% 0.91/1.08 tff(120,plain,
% 0.91/1.08 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), sk_c7) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3)), sk_c7))),
% 0.91/1.08 inference(symmetry,[status(thm)],[119])).
% 0.91/1.08 tff(121,plain,
% 0.91/1.08 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), sk_c7) = multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)))),
% 0.91/1.08 inference(quant_inst,[status(thm)],[])).
% 0.91/1.08 tff(122,plain,
% 0.91/1.08 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), sk_c7) = multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7))),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[121, 19])).
% 0.91/1.08 tff(123,plain,
% 0.91/1.08 (multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), sk_c7)),
% 0.91/1.08 inference(symmetry,[status(thm)],[122])).
% 0.91/1.08 tff(124,plain,
% 0.91/1.08 (multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)) = multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3))), sk_c7)),
% 0.91/1.08 inference(transitivity,[status(thm)],[123, 120, 107])).
% 0.91/1.08 tff(125,plain,
% 0.91/1.08 (multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), sk_c4) = multiply(multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3))), sk_c7), sk_c4)),
% 0.91/1.08 inference(monotonicity,[status(thm)],[124])).
% 0.91/1.08 tff(126,plain,
% 0.91/1.08 (multiply(multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3))), sk_c7), sk_c4) = multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), sk_c4)),
% 0.91/1.08 inference(symmetry,[status(thm)],[125])).
% 0.91/1.08 tff(127,plain,
% 0.91/1.08 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3))), sk_c7), sk_c4) = multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3))), multiply(sk_c7, sk_c4)))),
% 0.91/1.08 inference(quant_inst,[status(thm)],[])).
% 0.91/1.08 tff(128,plain,
% 0.91/1.08 (multiply(multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3))), sk_c7), sk_c4) = multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3))), multiply(sk_c7, sk_c4))),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[127, 19])).
% 0.91/1.08 tff(129,plain,
% 0.91/1.08 (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3))), multiply(sk_c7, sk_c4)) = multiply(multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3))), sk_c7), sk_c4)),
% 0.91/1.08 inference(symmetry,[status(thm)],[128])).
% 0.91/1.08 tff(130,plain,
% 0.91/1.08 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c5), sk_c3) = multiply(sk_c3, multiply(sk_c5, sk_c3)))),
% 0.91/1.08 inference(quant_inst,[status(thm)],[])).
% 0.91/1.08 tff(131,plain,
% 0.91/1.08 (multiply(multiply(sk_c3, sk_c5), sk_c3) = multiply(sk_c3, multiply(sk_c5, sk_c3))),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[130, 19])).
% 0.91/1.08 tff(132,plain,
% 0.91/1.08 (multiply(sk_c3, sk_c5) = multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7))),
% 0.91/1.08 inference(symmetry,[status(thm)],[86])).
% 0.91/1.08 tff(133,plain,
% 0.91/1.08 (multiply(sk_c3, sk_c5) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), sk_c7)),
% 0.91/1.08 inference(transitivity,[status(thm)],[132, 123])).
% 0.91/1.08 tff(134,plain,
% 0.91/1.08 (multiply(multiply(sk_c3, sk_c5), sk_c3) = multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), sk_c7), sk_c3)),
% 0.91/1.08 inference(monotonicity,[status(thm)],[133])).
% 0.91/1.08 tff(135,plain,
% 0.91/1.08 (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), sk_c7), sk_c3) = multiply(multiply(sk_c3, sk_c5), sk_c3)),
% 0.91/1.08 inference(symmetry,[status(thm)],[134])).
% 0.91/1.08 tff(136,plain,
% 0.91/1.08 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), sk_c7), sk_c3) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c7, sk_c3)))),
% 0.91/1.08 inference(quant_inst,[status(thm)],[])).
% 0.91/1.08 tff(137,plain,
% 0.91/1.08 (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), sk_c7), sk_c3) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c7, sk_c3))),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[136, 19])).
% 0.91/1.08 tff(138,plain,
% 0.91/1.08 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c7, sk_c3)) = multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), sk_c7), sk_c3)),
% 0.91/1.08 inference(symmetry,[status(thm)],[137])).
% 0.91/1.08 tff(139,plain,
% 0.91/1.08 (multiply(inverse(sk_c3), sk_c3) = multiply(sk_c7, sk_c3)),
% 0.91/1.08 inference(symmetry,[status(thm)],[58])).
% 0.91/1.08 tff(140,plain,
% 0.91/1.08 (multiply(sk_c5, multiply(sk_c3, sk_c7)) = multiply(multiply(sk_c5, sk_c3), sk_c7)),
% 0.91/1.08 inference(symmetry,[status(thm)],[110])).
% 0.91/1.08 tff(141,plain,
% 0.91/1.08 (multiply(sk_c5, sk_c6) = multiply(sk_c5, multiply(sk_c3, sk_c7))),
% 0.91/1.08 inference(symmetry,[status(thm)],[108])).
% 0.91/1.08 tff(142,plain,
% 0.91/1.08 (sk_c7 = multiply(sk_c5, sk_c6)),
% 0.91/1.08 inference(symmetry,[status(thm)],[12])).
% 0.91/1.08 tff(143,plain,
% 0.91/1.08 (inverse(sk_c3) = multiply(multiply(sk_c5, sk_c3), sk_c7)),
% 0.91/1.08 inference(transitivity,[status(thm)],[8, 142, 141, 140])).
% 0.91/1.08 tff(144,plain,
% 0.91/1.08 (multiply(inverse(sk_c3), sk_c3) = multiply(multiply(multiply(sk_c5, sk_c3), sk_c7), sk_c3)),
% 0.91/1.08 inference(monotonicity,[status(thm)],[143])).
% 0.91/1.08 tff(145,plain,
% 0.91/1.08 (multiply(multiply(multiply(sk_c5, sk_c3), sk_c7), sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 0.91/1.08 inference(symmetry,[status(thm)],[144])).
% 0.91/1.08 tff(146,plain,
% 0.91/1.08 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, sk_c3), sk_c7), sk_c3) = multiply(multiply(sk_c5, sk_c3), multiply(sk_c7, sk_c3)))),
% 0.91/1.08 inference(quant_inst,[status(thm)],[])).
% 0.91/1.08 tff(147,plain,
% 0.91/1.08 (multiply(multiply(multiply(sk_c5, sk_c3), sk_c7), sk_c3) = multiply(multiply(sk_c5, sk_c3), multiply(sk_c7, sk_c3))),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[146, 19])).
% 0.91/1.08 tff(148,plain,
% 0.91/1.08 (multiply(multiply(sk_c5, sk_c3), multiply(sk_c7, sk_c3)) = multiply(multiply(multiply(sk_c5, sk_c3), sk_c7), sk_c3)),
% 0.91/1.08 inference(symmetry,[status(thm)],[147])).
% 0.91/1.08 tff(149,plain,
% 0.91/1.08 (identity = multiply(inverse(sk_c3), sk_c3)),
% 0.91/1.08 inference(symmetry,[status(thm)],[57])).
% 0.91/1.08 tff(150,plain,
% 0.91/1.08 (identity = multiply(sk_c7, sk_c3)),
% 0.91/1.08 inference(transitivity,[status(thm)],[149, 139])).
% 0.91/1.08 tff(151,plain,
% 0.91/1.08 (multiply(multiply(sk_c4, sk_c3), identity) = multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3))),
% 0.91/1.08 inference(monotonicity,[status(thm)],[150])).
% 0.91/1.08 tff(152,plain,
% 0.91/1.08 (multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3)) = multiply(multiply(sk_c4, sk_c3), identity)),
% 0.91/1.08 inference(symmetry,[status(thm)],[151])).
% 0.91/1.08 tff(153,plain,
% 0.91/1.08 (multiply(sk_c5, sk_c3) = multiply(multiply(sk_c4, sk_c3), identity)),
% 0.91/1.08 inference(transitivity,[status(thm)],[111, 114, 152])).
% 0.91/1.08 tff(154,plain,
% 0.91/1.08 (multiply(multiply(sk_c5, sk_c3), multiply(sk_c7, sk_c3)) = multiply(multiply(multiply(sk_c4, sk_c3), identity), identity)),
% 0.91/1.08 inference(monotonicity,[status(thm)],[153, 59])).
% 0.91/1.08 tff(155,plain,
% 0.91/1.08 (multiply(multiply(multiply(sk_c4, sk_c3), identity), identity) = multiply(multiply(sk_c5, sk_c3), multiply(sk_c7, sk_c3))),
% 0.91/1.08 inference(symmetry,[status(thm)],[154])).
% 0.91/1.08 tff(156,plain,
% 0.91/1.08 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c3), identity), identity) = multiply(multiply(sk_c4, sk_c3), multiply(identity, identity)))),
% 0.91/1.08 inference(quant_inst,[status(thm)],[])).
% 0.91/1.08 tff(157,plain,
% 0.91/1.08 (multiply(multiply(multiply(sk_c4, sk_c3), identity), identity) = multiply(multiply(sk_c4, sk_c3), multiply(identity, identity))),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[156, 19])).
% 0.91/1.08 tff(158,plain,
% 0.91/1.08 (multiply(multiply(sk_c4, sk_c3), multiply(identity, identity)) = multiply(multiply(multiply(sk_c4, sk_c3), identity), identity)),
% 0.91/1.08 inference(symmetry,[status(thm)],[157])).
% 0.91/1.08 tff(159,plain,
% 0.91/1.08 (multiply(multiply(sk_c4, sk_c3), multiply(identity, identity)) = multiply(sk_c7, sk_c3)),
% 0.91/1.08 inference(transitivity,[status(thm)],[158, 155, 148, 145, 139])).
% 0.91/1.08 tff(160,plain,
% 0.91/1.08 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), multiply(identity, identity))) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c7, sk_c3))),
% 0.91/1.08 inference(monotonicity,[status(thm)],[159])).
% 0.91/1.08 tff(161,plain,
% 0.91/1.08 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c4, sk_c3)), multiply(identity, identity)) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), multiply(identity, identity))))),
% 0.91/1.08 inference(quant_inst,[status(thm)],[])).
% 0.91/1.08 tff(162,plain,
% 0.91/1.08 (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c4, sk_c3)), multiply(identity, identity)) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), multiply(identity, identity)))),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[161, 19])).
% 0.91/1.08 tff(163,plain,
% 0.91/1.08 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, identity) = identity)),
% 0.91/1.08 inference(quant_inst,[status(thm)],[])).
% 0.91/1.08 tff(164,plain,
% 0.91/1.08 (multiply(identity, identity) = identity),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[163, 46])).
% 0.91/1.08 tff(165,plain,
% 0.91/1.08 (identity = multiply(identity, identity)),
% 0.91/1.08 inference(symmetry,[status(thm)],[164])).
% 0.91/1.08 tff(166,plain,
% 0.91/1.08 (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c4, sk_c3)), identity) = multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c4, sk_c3)), multiply(identity, identity))),
% 0.91/1.08 inference(monotonicity,[status(thm)],[165])).
% 0.91/1.08 tff(167,plain,
% 0.91/1.08 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c4, sk_c3)), identity) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), identity)))),
% 0.91/1.08 inference(quant_inst,[status(thm)],[])).
% 0.91/1.08 tff(168,plain,
% 0.91/1.08 (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c4, sk_c3)), identity) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), identity))),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[167, 19])).
% 0.91/1.08 tff(169,plain,
% 0.91/1.08 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), identity)) = multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c4, sk_c3)), identity)),
% 0.91/1.08 inference(symmetry,[status(thm)],[168])).
% 0.91/1.08 tff(170,plain,
% 0.91/1.08 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3))) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), identity))),
% 0.91/1.08 inference(monotonicity,[status(thm)],[152])).
% 0.91/1.08 tff(171,plain,
% 0.91/1.08 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3))) = multiply(sk_c3, multiply(sk_c5, sk_c3))),
% 0.91/1.08 inference(transitivity,[status(thm)],[170, 169, 166, 162, 160, 138, 135, 131])).
% 0.91/1.08 tff(172,plain,
% 0.91/1.08 (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3))), multiply(sk_c7, sk_c4)) = multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), multiply(sk_c7, sk_c4))),
% 0.91/1.08 inference(monotonicity,[status(thm)],[171])).
% 0.91/1.08 tff(173,plain,
% 0.91/1.08 (multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), multiply(sk_c7, sk_c4)) = multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3))), multiply(sk_c7, sk_c4))),
% 0.91/1.08 inference(symmetry,[status(thm)],[172])).
% 0.91/1.08 tff(174,plain,
% 0.91/1.08 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), sk_c7), sk_c4) = multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), multiply(sk_c7, sk_c4)))),
% 0.91/1.08 inference(quant_inst,[status(thm)],[])).
% 0.91/1.08 tff(175,plain,
% 0.91/1.08 (multiply(multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), sk_c7), sk_c4) = multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), multiply(sk_c7, sk_c4))),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[174, 19])).
% 0.91/1.08 tff(176,plain,
% 0.91/1.08 (sk_c7 = multiply(multiply(sk_c5, sk_c3), sk_c7)),
% 0.91/1.08 inference(transitivity,[status(thm)],[142, 141, 140])).
% 0.91/1.08 tff(177,plain,
% 0.91/1.08 (multiply(sk_c3, sk_c7) = multiply(sk_c3, multiply(multiply(sk_c5, sk_c3), sk_c7))),
% 0.91/1.08 inference(monotonicity,[status(thm)],[176])).
% 0.91/1.08 tff(178,plain,
% 0.91/1.08 (multiply(sk_c3, multiply(multiply(sk_c5, sk_c3), sk_c7)) = multiply(sk_c3, sk_c7)),
% 0.91/1.09 inference(symmetry,[status(thm)],[177])).
% 0.91/1.09 tff(179,plain,
% 0.91/1.09 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), sk_c7) = multiply(sk_c3, multiply(multiply(sk_c5, sk_c3), sk_c7)))),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(180,plain,
% 0.91/1.09 (multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), sk_c7) = multiply(sk_c3, multiply(multiply(sk_c5, sk_c3), sk_c7))),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[179, 19])).
% 0.91/1.09 tff(181,plain,
% 0.91/1.09 (multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), sk_c7) = inverse(sk_c4)),
% 0.91/1.09 inference(transitivity,[status(thm)],[180, 178, 26, 78])).
% 0.91/1.09 tff(182,plain,
% 0.91/1.09 (multiply(multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), sk_c7), sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 0.91/1.09 inference(monotonicity,[status(thm)],[181])).
% 0.91/1.09 tff(183,plain,
% 0.91/1.09 (multiply(inverse(sk_c4), sk_c4) = multiply(multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), sk_c7), sk_c4)),
% 0.91/1.09 inference(symmetry,[status(thm)],[182])).
% 0.91/1.09 tff(184,plain,
% 0.91/1.09 (multiply(identity, identity) = multiply(sk_c7, sk_c3)),
% 0.91/1.09 inference(transitivity,[status(thm)],[164, 149, 139])).
% 0.91/1.09 tff(185,plain,
% 0.91/1.09 (multiply(multiply(sk_c4, sk_c3), multiply(identity, identity)) = multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3))),
% 0.91/1.09 inference(monotonicity,[status(thm)],[184])).
% 0.91/1.09 tff(186,plain,
% 0.91/1.09 (multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3)) = multiply(multiply(sk_c4, sk_c3), multiply(identity, identity))),
% 0.91/1.09 inference(symmetry,[status(thm)],[185])).
% 0.91/1.09 tff(187,plain,
% 0.91/1.09 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c7), sk_c7) = identity)),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(188,plain,
% 0.91/1.09 (multiply(inverse(sk_c7), sk_c7) = identity),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[187, 55])).
% 0.91/1.09 tff(189,plain,
% 0.91/1.09 (identity = multiply(inverse(sk_c7), sk_c7)),
% 0.91/1.09 inference(symmetry,[status(thm)],[188])).
% 0.91/1.09 tff(190,plain,
% 0.91/1.09 (multiply(sk_c7, sk_c3) = multiply(inverse(sk_c7), sk_c7)),
% 0.91/1.09 inference(transitivity,[status(thm)],[58, 57, 189])).
% 0.91/1.09 tff(191,plain,
% 0.91/1.09 (multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3)) = multiply(multiply(sk_c4, sk_c3), multiply(inverse(sk_c7), sk_c7))),
% 0.91/1.09 inference(monotonicity,[status(thm)],[190])).
% 0.91/1.09 tff(192,plain,
% 0.91/1.09 (multiply(multiply(sk_c4, sk_c3), multiply(inverse(sk_c7), sk_c7)) = multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3))),
% 0.91/1.09 inference(symmetry,[status(thm)],[191])).
% 0.91/1.09 tff(193,plain,
% 0.91/1.09 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c3), inverse(sk_c7)), sk_c7) = multiply(multiply(sk_c4, sk_c3), multiply(inverse(sk_c7), sk_c7)))),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(194,plain,
% 0.91/1.09 (multiply(multiply(multiply(sk_c4, sk_c3), inverse(sk_c7)), sk_c7) = multiply(multiply(sk_c4, sk_c3), multiply(inverse(sk_c7), sk_c7))),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[193, 19])).
% 0.91/1.09 tff(195,plain,
% 0.91/1.09 (multiply(sk_c7, multiply(sk_c3, sk_c7)) = multiply(sk_c7, sk_c6)),
% 0.91/1.09 inference(symmetry,[status(thm)],[65])).
% 0.91/1.09 tff(196,plain,
% 0.91/1.09 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c3), sk_c7)),
% 0.91/1.09 inference(symmetry,[status(thm)],[60])).
% 0.91/1.09 tff(197,plain,
% 0.91/1.09 (sk_c7 = multiply(identity, sk_c7)),
% 0.91/1.09 inference(symmetry,[status(thm)],[48])).
% 0.91/1.09 tff(198,plain,
% 0.91/1.09 (sk_c7 = multiply(sk_c7, sk_c6)),
% 0.91/1.09 inference(transitivity,[status(thm)],[197, 196, 62, 195])).
% 0.91/1.09 tff(199,plain,
% 0.91/1.09 (multiply(multiply(multiply(sk_c4, sk_c3), inverse(sk_c7)), sk_c7) = multiply(multiply(multiply(sk_c4, sk_c3), inverse(sk_c7)), multiply(sk_c7, sk_c6))),
% 0.91/1.09 inference(monotonicity,[status(thm)],[198])).
% 0.91/1.09 tff(200,plain,
% 0.91/1.09 (multiply(multiply(multiply(sk_c4, sk_c3), inverse(sk_c7)), multiply(sk_c7, sk_c6)) = multiply(multiply(multiply(sk_c4, sk_c3), inverse(sk_c7)), sk_c7)),
% 0.91/1.09 inference(symmetry,[status(thm)],[199])).
% 0.91/1.09 tff(201,plain,
% 0.91/1.09 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c4, sk_c3), inverse(sk_c7)), sk_c7), sk_c6) = multiply(multiply(multiply(sk_c4, sk_c3), inverse(sk_c7)), multiply(sk_c7, sk_c6)))),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(202,plain,
% 0.91/1.09 (multiply(multiply(multiply(multiply(sk_c4, sk_c3), inverse(sk_c7)), sk_c7), sk_c6) = multiply(multiply(multiply(sk_c4, sk_c3), inverse(sk_c7)), multiply(sk_c7, sk_c6))),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[201, 19])).
% 0.91/1.09 tff(203,plain,
% 0.91/1.09 (multiply(multiply(multiply(sk_c4, sk_c3), inverse(sk_c7)), sk_c7) = multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3))),
% 0.91/1.09 inference(transitivity,[status(thm)],[194, 192])).
% 0.91/1.09 tff(204,plain,
% 0.91/1.09 (multiply(multiply(multiply(multiply(sk_c4, sk_c3), inverse(sk_c7)), sk_c7), sk_c6) = multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3)), sk_c6)),
% 0.91/1.09 inference(monotonicity,[status(thm)],[203])).
% 0.91/1.09 tff(205,plain,
% 0.91/1.09 (multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3)), sk_c6) = multiply(multiply(multiply(multiply(sk_c4, sk_c3), inverse(sk_c7)), sk_c7), sk_c6)),
% 0.91/1.09 inference(symmetry,[status(thm)],[204])).
% 0.91/1.09 tff(206,plain,
% 0.91/1.09 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c3), sk_c6), sk_c4) = multiply(multiply(sk_c4, sk_c3), multiply(sk_c6, sk_c4)))),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(207,plain,
% 0.91/1.09 (multiply(multiply(multiply(sk_c4, sk_c3), sk_c6), sk_c4) = multiply(multiply(sk_c4, sk_c3), multiply(sk_c6, sk_c4))),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[206, 19])).
% 0.91/1.09 tff(208,plain,
% 0.91/1.09 (multiply(multiply(sk_c4, sk_c3), multiply(sk_c6, sk_c4)) = multiply(multiply(multiply(sk_c4, sk_c3), sk_c6), sk_c4)),
% 0.91/1.09 inference(symmetry,[status(thm)],[207])).
% 0.91/1.09 tff(209,plain,
% 0.91/1.09 (multiply(sk_c6, sk_c4) = multiply(sk_c7, sk_c3)),
% 0.91/1.09 inference(transitivity,[status(thm)],[79, 82, 149, 139])).
% 0.91/1.09 tff(210,plain,
% 0.91/1.09 (multiply(multiply(sk_c4, sk_c3), multiply(sk_c6, sk_c4)) = multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3))),
% 0.91/1.09 inference(monotonicity,[status(thm)],[209])).
% 0.91/1.09 tff(211,plain,
% 0.91/1.09 (multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3)) = multiply(multiply(sk_c4, sk_c3), multiply(sk_c6, sk_c4))),
% 0.91/1.09 inference(symmetry,[status(thm)],[210])).
% 0.91/1.09 tff(212,plain,
% 0.91/1.09 (multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3)) = multiply(multiply(multiply(sk_c4, sk_c3), sk_c6), sk_c4)),
% 0.91/1.09 inference(transitivity,[status(thm)],[211, 208])).
% 0.91/1.09 tff(213,plain,
% 0.91/1.09 (multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3)), sk_c6) = multiply(multiply(multiply(multiply(sk_c4, sk_c3), sk_c6), sk_c4), sk_c6)),
% 0.91/1.09 inference(monotonicity,[status(thm)],[212])).
% 0.91/1.09 tff(214,plain,
% 0.91/1.09 (multiply(multiply(multiply(multiply(sk_c4, sk_c3), sk_c6), sk_c4), sk_c6) = multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3)), sk_c6)),
% 0.91/1.09 inference(symmetry,[status(thm)],[213])).
% 0.91/1.09 tff(215,plain,
% 0.91/1.09 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c4, sk_c3), sk_c6), sk_c4), sk_c6) = multiply(multiply(multiply(sk_c4, sk_c3), sk_c6), multiply(sk_c4, sk_c6)))),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(216,plain,
% 0.91/1.09 (multiply(multiply(multiply(multiply(sk_c4, sk_c3), sk_c6), sk_c4), sk_c6) = multiply(multiply(multiply(sk_c4, sk_c3), sk_c6), multiply(sk_c4, sk_c6))),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[215, 19])).
% 0.91/1.09 tff(217,plain,
% 0.91/1.09 (multiply(multiply(multiply(sk_c4, sk_c3), sk_c6), multiply(sk_c4, sk_c6)) = multiply(multiply(multiply(multiply(sk_c4, sk_c3), sk_c6), sk_c4), sk_c6)),
% 0.91/1.09 inference(symmetry,[status(thm)],[216])).
% 0.91/1.09 tff(218,plain,
% 0.91/1.09 (multiply(multiply(sk_c4, sk_c3), multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), sk_c7)) = multiply(multiply(sk_c4, sk_c3), multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)))),
% 0.91/1.09 inference(monotonicity,[status(thm)],[122])).
% 0.91/1.09 tff(219,plain,
% 0.91/1.09 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c3, multiply(sk_c4, sk_c3))), sk_c7) = multiply(multiply(sk_c4, sk_c3), multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), sk_c7)))),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(220,plain,
% 0.91/1.09 (multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c3, multiply(sk_c4, sk_c3))), sk_c7) = multiply(multiply(sk_c4, sk_c3), multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), sk_c7))),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[219, 19])).
% 0.91/1.09 tff(221,plain,
% 0.91/1.09 (multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c3, multiply(sk_c4, sk_c3))), multiply(sk_c7, sk_c6)) = multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c3, multiply(sk_c4, sk_c3))), sk_c7)),
% 0.91/1.09 inference(monotonicity,[status(thm)],[66])).
% 0.91/1.09 tff(222,plain,
% 0.91/1.09 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c3, multiply(sk_c4, sk_c3))), multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c4, sk_c3), multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c7, sk_c6))))),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(223,plain,
% 0.91/1.09 (multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c3, multiply(sk_c4, sk_c3))), multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c4, sk_c3), multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c7, sk_c6)))),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[222, 19])).
% 0.91/1.09 tff(224,plain,
% 0.91/1.09 (multiply(multiply(sk_c4, sk_c3), multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c7, sk_c6))) = multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c3, multiply(sk_c4, sk_c3))), multiply(sk_c7, sk_c6))),
% 0.91/1.09 inference(symmetry,[status(thm)],[223])).
% 0.91/1.09 tff(225,plain,
% 0.91/1.09 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c7, sk_c6)) = multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c6))))),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(226,plain,
% 0.91/1.09 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c7, sk_c6)) = multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c6)))),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[225, 19])).
% 0.91/1.09 tff(227,plain,
% 0.91/1.09 (multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c6))) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c7, sk_c6))),
% 0.91/1.09 inference(symmetry,[status(thm)],[226])).
% 0.91/1.09 tff(228,plain,
% 0.91/1.09 (multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c6)) = sk_c7),
% 0.91/1.09 inference(transitivity,[status(thm)],[39, 36, 12])).
% 0.91/1.09 tff(229,plain,
% 0.91/1.09 (multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c6))) = multiply(sk_c3, sk_c7)),
% 0.91/1.09 inference(monotonicity,[status(thm)],[228])).
% 0.91/1.09 tff(230,plain,
% 0.91/1.09 (multiply(sk_c3, sk_c7) = multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c6)))),
% 0.91/1.09 inference(symmetry,[status(thm)],[229])).
% 0.91/1.09 tff(231,plain,
% 0.91/1.09 (sk_c6 = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c7, sk_c6))),
% 0.91/1.09 inference(transitivity,[status(thm)],[64, 230, 227])).
% 0.91/1.09 tff(232,plain,
% 0.91/1.09 (multiply(multiply(sk_c4, sk_c3), sk_c6) = multiply(multiply(sk_c4, sk_c3), multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c7, sk_c6)))),
% 0.91/1.09 inference(monotonicity,[status(thm)],[231])).
% 0.91/1.09 tff(233,plain,
% 0.91/1.09 (multiply(multiply(sk_c4, sk_c3), sk_c6) = multiply(multiply(sk_c4, sk_c3), multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)))),
% 0.91/1.09 inference(transitivity,[status(thm)],[232, 224, 221, 220, 218])).
% 0.91/1.09 tff(234,plain,
% 0.91/1.09 (multiply(multiply(multiply(sk_c4, sk_c3), sk_c6), multiply(sk_c4, sk_c6)) = multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7))), sk_c5)),
% 0.91/1.09 inference(monotonicity,[status(thm)],[233, 32])).
% 0.91/1.09 tff(235,plain,
% 0.91/1.09 (multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7))), sk_c5) = multiply(multiply(multiply(sk_c4, sk_c3), sk_c6), multiply(sk_c4, sk_c6))),
% 0.91/1.09 inference(symmetry,[status(thm)],[234])).
% 0.91/1.09 tff(236,plain,
% 0.91/1.09 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c5) = sk_c5)),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(237,plain,
% 0.91/1.09 (multiply(identity, sk_c5) = sk_c5),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[236, 46])).
% 0.91/1.09 tff(238,plain,
% 0.91/1.09 (sk_c5 = multiply(identity, sk_c5)),
% 0.91/1.09 inference(symmetry,[status(thm)],[237])).
% 0.91/1.09 tff(239,plain,
% 0.91/1.09 (multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7))), sk_c5) = multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7))), multiply(identity, sk_c5))),
% 0.91/1.09 inference(monotonicity,[status(thm)],[238])).
% 0.91/1.09 tff(240,plain,
% 0.91/1.09 (multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7))), multiply(identity, sk_c5)) = multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7))), sk_c5)),
% 0.91/1.09 inference(symmetry,[status(thm)],[239])).
% 0.91/1.09 tff(241,plain,
% 0.91/1.09 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7))), identity), sk_c5) = multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7))), multiply(identity, sk_c5)))),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(242,plain,
% 0.91/1.09 (multiply(multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7))), identity), sk_c5) = multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7))), multiply(identity, sk_c5))),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[241, 19])).
% 0.91/1.09 tff(243,plain,
% 0.91/1.09 (multiply(multiply(sk_c3, sk_c5), multiply(sk_c6, sk_c4)) = multiply(multiply(multiply(sk_c3, sk_c5), sk_c6), sk_c4)),
% 0.91/1.09 inference(symmetry,[status(thm)],[90])).
% 0.91/1.09 tff(244,plain,
% 0.91/1.09 (multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), identity) = multiply(sk_c7, sk_c3)),
% 0.91/1.09 inference(transitivity,[status(thm)],[87, 243, 95, 82, 149, 139])).
% 0.91/1.09 tff(245,plain,
% 0.91/1.09 (multiply(multiply(sk_c4, sk_c3), multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), identity)) = multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3))),
% 0.91/1.09 inference(monotonicity,[status(thm)],[244])).
% 0.91/1.09 tff(246,plain,
% 0.91/1.09 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7))), identity) = multiply(multiply(sk_c4, sk_c3), multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), identity)))),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(247,plain,
% 0.91/1.09 (multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7))), identity) = multiply(multiply(sk_c4, sk_c3), multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), identity))),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[246, 19])).
% 0.91/1.09 tff(248,plain,
% 0.91/1.09 (multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7))), identity) = multiply(sk_c5, sk_c3)),
% 0.91/1.09 inference(transitivity,[status(thm)],[247, 245, 115, 112])).
% 0.91/1.09 tff(249,plain,
% 0.91/1.09 (multiply(multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7))), identity), sk_c5) = multiply(multiply(sk_c5, sk_c3), sk_c5)),
% 0.91/1.09 inference(monotonicity,[status(thm)],[248])).
% 0.91/1.09 tff(250,plain,
% 0.91/1.09 (multiply(multiply(sk_c5, sk_c3), sk_c5) = multiply(multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7))), identity), sk_c5)),
% 0.91/1.09 inference(symmetry,[status(thm)],[249])).
% 0.91/1.09 tff(251,plain,
% 0.91/1.09 (multiply(sk_c5, sk_c3) = multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3))),
% 0.91/1.09 inference(transitivity,[status(thm)],[111, 114])).
% 0.91/1.09 tff(252,plain,
% 0.91/1.09 (multiply(multiply(sk_c5, sk_c3), sk_c5) = multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3)), multiply(identity, sk_c5))),
% 0.91/1.09 inference(monotonicity,[status(thm)],[251, 238])).
% 0.91/1.09 tff(253,plain,
% 0.91/1.09 (multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3)), multiply(identity, sk_c5)) = multiply(multiply(sk_c5, sk_c3), sk_c5)),
% 0.91/1.09 inference(symmetry,[status(thm)],[252])).
% 0.91/1.09 tff(254,plain,
% 0.91/1.09 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3)), identity), sk_c5) = multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3)), multiply(identity, sk_c5)))),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(255,plain,
% 0.91/1.09 (multiply(multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3)), identity), sk_c5) = multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3)), multiply(identity, sk_c5))),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[254, 19])).
% 0.91/1.09 tff(256,plain,
% 0.91/1.09 (multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3)), identity) = multiply(multiply(sk_c5, sk_c3), multiply(sk_c7, sk_c3))),
% 0.91/1.09 inference(monotonicity,[status(thm)],[116, 150])).
% 0.91/1.09 tff(257,plain,
% 0.91/1.09 (multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3)), identity) = identity),
% 0.91/1.09 inference(transitivity,[status(thm)],[256, 148, 145, 57])).
% 0.91/1.09 tff(258,plain,
% 0.91/1.09 (multiply(multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3)), identity), sk_c5) = multiply(identity, sk_c5)),
% 0.91/1.09 inference(monotonicity,[status(thm)],[257])).
% 0.91/1.09 tff(259,plain,
% 0.91/1.09 (multiply(identity, sk_c5) = multiply(multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c3)), identity), sk_c5)),
% 0.91/1.09 inference(symmetry,[status(thm)],[258])).
% 0.91/1.09 tff(260,plain,
% 0.91/1.09 (sk_c7 = sk_c4),
% 0.91/1.09 inference(transitivity,[status(thm)],[142, 35, 38, 67, 21, 27, 32, 238, 259, 255, 253, 250, 242, 240, 235, 217, 214, 205, 202, 200, 194, 192, 186, 158, 155, 148, 145, 57, 83, 183, 175, 173, 129, 126, 104, 102, 99, 77])).
% 0.91/1.09 tff(261,plain,
% 0.91/1.09 (inverse(sk_c7) = inverse(sk_c4)),
% 0.91/1.09 inference(monotonicity,[status(thm)],[260])).
% 0.91/1.09 tff(262,plain,
% 0.91/1.09 (inverse(sk_c7) = sk_c6),
% 0.91/1.09 inference(transitivity,[status(thm)],[261, 75])).
% 0.91/1.09 tff(263,plain,
% 0.91/1.09 ((inverse(sk_c7) = sk_c5) <=> (sk_c6 = inverse(sk_c3))),
% 0.91/1.09 inference(monotonicity,[status(thm)],[262, 69])).
% 0.91/1.09 tff(264,plain,
% 0.91/1.09 ((inverse(sk_c7) = sk_c5) <=> (inverse(sk_c3) = sk_c6)),
% 0.91/1.09 inference(transitivity,[status(thm)],[263, 1])).
% 0.91/1.09 tff(265,plain,
% 0.91/1.09 ((inverse(sk_c3) = sk_c6) <=> (inverse(sk_c7) = sk_c5)),
% 0.91/1.09 inference(symmetry,[status(thm)],[264])).
% 0.91/1.09 tff(266,plain,
% 0.91/1.09 (sk_c7 = multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c6))),
% 0.91/1.09 inference(transitivity,[status(thm)],[142, 35, 38])).
% 0.91/1.09 tff(267,plain,
% 0.91/1.09 (multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), sk_c7) = multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c6)))),
% 0.91/1.09 inference(monotonicity,[status(thm)],[266])).
% 0.91/1.09 tff(268,plain,
% 0.91/1.09 (multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c6))) = multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), sk_c7)),
% 0.91/1.09 inference(symmetry,[status(thm)],[267])).
% 0.91/1.09 tff(269,plain,
% 0.91/1.09 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), multiply(sk_c4, sk_c3)), multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c6))))),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(270,plain,
% 0.91/1.09 (multiply(multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), multiply(sk_c4, sk_c3)), multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c6)))),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[269, 19])).
% 0.91/1.09 tff(271,plain,
% 0.91/1.09 (multiply(multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), multiply(sk_c4, sk_c3)), multiply(sk_c7, sk_c6)) = multiply(multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), multiply(sk_c4, sk_c3)), sk_c7)),
% 0.91/1.09 inference(monotonicity,[status(thm)],[66])).
% 0.91/1.09 tff(272,plain,
% 0.91/1.09 (multiply(multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), multiply(sk_c4, sk_c3)), sk_c7) = multiply(multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), multiply(sk_c4, sk_c3)), multiply(sk_c7, sk_c6))),
% 0.91/1.09 inference(symmetry,[status(thm)],[271])).
% 0.91/1.09 tff(273,plain,
% 0.91/1.09 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), multiply(sk_c4, sk_c3)), sk_c7) = multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), multiply(multiply(sk_c4, sk_c3), sk_c7)))),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(274,plain,
% 0.91/1.09 (multiply(multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), multiply(sk_c4, sk_c3)), sk_c7) = multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), multiply(multiply(sk_c4, sk_c3), sk_c7))),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[273, 19])).
% 0.91/1.09 tff(275,plain,
% 0.91/1.09 (multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), multiply(multiply(sk_c4, sk_c3), sk_c7)) = multiply(multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), multiply(sk_c4, sk_c3)), sk_c7)),
% 0.91/1.09 inference(symmetry,[status(thm)],[274])).
% 0.91/1.09 tff(276,plain,
% 0.91/1.09 (multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), multiply(multiply(sk_c4, sk_c3), sk_c7)) = multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), sk_c5)),
% 0.91/1.09 inference(monotonicity,[status(thm)],[85])).
% 0.91/1.09 tff(277,plain,
% 0.91/1.09 (multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), sk_c5) = multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), multiply(multiply(sk_c4, sk_c3), sk_c7))),
% 0.91/1.09 inference(symmetry,[status(thm)],[276])).
% 0.91/1.09 tff(278,plain,
% 0.91/1.09 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c7, sk_c3))),
% 0.91/1.09 inference(monotonicity,[status(thm)],[150])).
% 0.91/1.09 tff(279,plain,
% 0.91/1.09 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c7, sk_c3)) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity)),
% 0.91/1.09 inference(symmetry,[status(thm)],[278])).
% 0.91/1.09 tff(280,plain,
% 0.91/1.09 (multiply(sk_c3, multiply(sk_c5, sk_c3)) = multiply(multiply(sk_c3, sk_c5), sk_c3)),
% 0.91/1.09 inference(symmetry,[status(thm)],[131])).
% 0.91/1.09 tff(281,plain,
% 0.91/1.09 (multiply(sk_c3, multiply(sk_c5, sk_c3)) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity)),
% 0.91/1.09 inference(transitivity,[status(thm)],[280, 134, 137, 279])).
% 0.91/1.09 tff(282,plain,
% 0.91/1.09 (multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), sk_c5) = multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity), sk_c5)),
% 0.91/1.09 inference(monotonicity,[status(thm)],[281])).
% 0.91/1.09 tff(283,plain,
% 0.91/1.09 (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity), sk_c5) = multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), sk_c5)),
% 0.91/1.09 inference(symmetry,[status(thm)],[282])).
% 0.91/1.09 tff(284,plain,
% 0.91/1.09 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity), sk_c5) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(identity, sk_c5)))),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(285,plain,
% 0.91/1.09 (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity), sk_c5) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(identity, sk_c5))),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[284, 19])).
% 0.91/1.09 tff(286,plain,
% 0.91/1.09 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(identity, sk_c5)) = multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity), sk_c5)),
% 0.91/1.09 inference(symmetry,[status(thm)],[285])).
% 0.91/1.09 tff(287,plain,
% 0.91/1.09 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(identity, sk_c5)) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), sk_c5)),
% 0.91/1.09 inference(monotonicity,[status(thm)],[237])).
% 0.91/1.09 tff(288,plain,
% 0.91/1.09 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), sk_c5) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(identity, sk_c5))),
% 0.91/1.09 inference(symmetry,[status(thm)],[287])).
% 0.91/1.09 tff(289,plain,
% 0.91/1.09 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), sk_c5) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), sk_c7))),
% 0.91/1.09 inference(monotonicity,[status(thm)],[34])).
% 0.91/1.09 tff(290,plain,
% 0.91/1.09 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), sk_c7)) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), sk_c5)),
% 0.91/1.09 inference(symmetry,[status(thm)],[289])).
% 0.91/1.09 tff(291,plain,
% 0.91/1.09 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c4, sk_c3)), sk_c7) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), sk_c7)))),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(292,plain,
% 0.91/1.09 (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c4, sk_c3)), sk_c7) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), sk_c7))),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[291, 19])).
% 0.91/1.09 tff(293,plain,
% 0.91/1.09 (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c4, sk_c3)), sk_c7) = multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c4, sk_c3)), multiply(sk_c7, sk_c6))),
% 0.91/1.09 inference(monotonicity,[status(thm)],[198])).
% 0.91/1.09 tff(294,plain,
% 0.91/1.09 (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c4, sk_c3)), multiply(sk_c7, sk_c6)) = multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c4, sk_c3)), sk_c7)),
% 0.91/1.10 inference(symmetry,[status(thm)],[293])).
% 0.91/1.10 tff(295,plain,
% 0.91/1.10 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c4, sk_c3)), multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c6))))),
% 0.91/1.10 inference(quant_inst,[status(thm)],[])).
% 0.91/1.10 tff(296,plain,
% 0.91/1.10 (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c4, sk_c3)), multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c6)))),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[295, 19])).
% 0.91/1.10 tff(297,plain,
% 0.91/1.10 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c6))) = multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c4, sk_c3)), multiply(sk_c7, sk_c6))),
% 0.91/1.10 inference(symmetry,[status(thm)],[296])).
% 0.91/1.10 tff(298,plain,
% 0.91/1.10 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c6))) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), sk_c7)),
% 0.91/1.10 inference(monotonicity,[status(thm)],[228])).
% 0.91/1.10 tff(299,plain,
% 0.91/1.10 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), sk_c7) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c6)))),
% 0.91/1.10 inference(symmetry,[status(thm)],[298])).
% 0.91/1.10 tff(300,plain,
% 0.91/1.10 (multiply(sk_c3, sk_c5) = multiply(sk_c3, multiply(identity, sk_c5))),
% 0.91/1.10 inference(monotonicity,[status(thm)],[238])).
% 0.91/1.10 tff(301,plain,
% 0.91/1.10 (multiply(sk_c3, multiply(identity, sk_c5)) = multiply(sk_c3, sk_c5)),
% 0.91/1.10 inference(symmetry,[status(thm)],[300])).
% 0.91/1.10 tff(302,plain,
% 0.91/1.10 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, identity), sk_c5) = multiply(sk_c3, multiply(identity, sk_c5)))),
% 0.91/1.10 inference(quant_inst,[status(thm)],[])).
% 0.91/1.10 tff(303,plain,
% 0.91/1.10 (multiply(multiply(sk_c3, identity), sk_c5) = multiply(sk_c3, multiply(identity, sk_c5))),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[302, 19])).
% 0.91/1.10 tff(304,plain,
% 0.91/1.10 (multiply(sk_c6, sk_c3) = multiply(multiply(sk_c3, sk_c7), sk_c3)),
% 0.91/1.10 inference(monotonicity,[status(thm)],[64])).
% 0.91/1.10 tff(305,plain,
% 0.91/1.10 (multiply(multiply(sk_c3, sk_c7), sk_c3) = multiply(sk_c6, sk_c3)),
% 0.91/1.10 inference(symmetry,[status(thm)],[304])).
% 0.91/1.10 tff(306,plain,
% 0.91/1.10 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c7), sk_c3) = multiply(sk_c3, multiply(sk_c7, sk_c3)))),
% 0.91/1.10 inference(quant_inst,[status(thm)],[])).
% 0.91/1.10 tff(307,plain,
% 0.91/1.10 (multiply(multiply(sk_c3, sk_c7), sk_c3) = multiply(sk_c3, multiply(sk_c7, sk_c3))),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[306, 19])).
% 0.91/1.10 tff(308,plain,
% 0.91/1.10 (multiply(sk_c3, multiply(sk_c7, sk_c3)) = multiply(multiply(sk_c3, sk_c7), sk_c3)),
% 0.91/1.10 inference(symmetry,[status(thm)],[307])).
% 0.91/1.10 tff(309,plain,
% 0.91/1.10 (multiply(sk_c3, identity) = multiply(sk_c3, multiply(sk_c7, sk_c3))),
% 0.91/1.10 inference(monotonicity,[status(thm)],[150])).
% 0.91/1.10 tff(310,plain,
% 0.91/1.10 (multiply(sk_c3, identity) = multiply(sk_c6, sk_c3)),
% 0.91/1.10 inference(transitivity,[status(thm)],[309, 308, 305])).
% 0.91/1.10 tff(311,plain,
% 0.91/1.10 (multiply(multiply(sk_c3, identity), sk_c5) = multiply(multiply(sk_c6, sk_c3), sk_c5)),
% 0.91/1.10 inference(monotonicity,[status(thm)],[310])).
% 0.91/1.10 tff(312,plain,
% 0.91/1.10 (multiply(multiply(sk_c6, sk_c3), sk_c5) = multiply(multiply(sk_c3, identity), sk_c5)),
% 0.91/1.10 inference(symmetry,[status(thm)],[311])).
% 0.91/1.10 tff(313,plain,
% 0.91/1.10 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(sk_c4, sk_c3), sk_c7)) = multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c4, sk_c3)), sk_c7)),
% 0.91/1.10 inference(symmetry,[status(thm)],[292])).
% 0.91/1.10 tff(314,plain,
% 0.91/1.10 (multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c6))) = multiply(multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), multiply(sk_c4, sk_c3)), multiply(sk_c7, sk_c6))),
% 0.91/1.10 inference(symmetry,[status(thm)],[270])).
% 0.91/1.10 tff(315,plain,
% 0.91/1.10 (multiply(sk_c3, multiply(multiply(sk_c5, sk_c3), sk_c7)) = multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), sk_c7)),
% 0.91/1.10 inference(symmetry,[status(thm)],[180])).
% 0.91/1.10 tff(316,plain,
% 0.91/1.10 (sk_c6 = multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7))),
% 0.91/1.10 inference(transitivity,[status(thm)],[64, 177, 315, 267, 314, 271, 274, 276, 282, 285, 287, 289, 313, 293, 296, 298, 122])).
% 0.91/1.10 tff(317,plain,
% 0.91/1.10 (multiply(sk_c6, sk_c5) = multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), sk_c5)),
% 0.91/1.10 inference(monotonicity,[status(thm)],[316])).
% 0.91/1.10 tff(318,plain,
% 0.91/1.10 (multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), sk_c5) = multiply(sk_c6, sk_c5)),
% 0.91/1.10 inference(symmetry,[status(thm)],[317])).
% 0.91/1.10 tff(319,plain,
% 0.91/1.10 (multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), sk_c5) = multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), multiply(identity, sk_c5))),
% 0.91/1.10 inference(monotonicity,[status(thm)],[238])).
% 0.91/1.10 tff(320,plain,
% 0.91/1.10 (multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), multiply(identity, sk_c5)) = multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), sk_c5)),
% 0.91/1.10 inference(symmetry,[status(thm)],[319])).
% 0.91/1.10 tff(321,plain,
% 0.91/1.10 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), identity), sk_c5) = multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), multiply(identity, sk_c5)))),
% 0.91/1.10 inference(quant_inst,[status(thm)],[])).
% 0.91/1.10 tff(322,plain,
% 0.91/1.10 (multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), identity), sk_c5) = multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), multiply(identity, sk_c5))),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[321, 19])).
% 0.91/1.10 tff(323,plain,
% 0.91/1.10 (multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), identity) = identity),
% 0.91/1.10 inference(transitivity,[status(thm)],[87, 243, 95, 82])).
% 0.91/1.10 tff(324,plain,
% 0.91/1.10 (multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), identity), sk_c5) = multiply(identity, sk_c5)),
% 0.91/1.10 inference(monotonicity,[status(thm)],[323])).
% 0.91/1.10 tff(325,plain,
% 0.91/1.10 (multiply(identity, sk_c5) = multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), identity), sk_c5)),
% 0.91/1.10 inference(symmetry,[status(thm)],[324])).
% 0.91/1.10 tff(326,plain,
% 0.91/1.10 (sk_c5 = multiply(sk_c6, sk_c5)),
% 0.91/1.10 inference(transitivity,[status(thm)],[238, 325, 322, 320, 318])).
% 0.91/1.10 tff(327,plain,
% 0.91/1.10 (multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), multiply(sk_c7, sk_c4)) = multiply(multiply(multiply(sk_c3, multiply(sk_c5, sk_c3)), sk_c7), sk_c4)),
% 0.91/1.10 inference(symmetry,[status(thm)],[175])).
% 0.91/1.10 tff(328,plain,
% 0.91/1.10 (sk_c4 = multiply(identity, sk_c4)),
% 0.91/1.10 inference(symmetry,[status(thm)],[77])).
% 0.91/1.10 tff(329,plain,
% 0.91/1.10 (sk_c4 = multiply(sk_c7, sk_c3)),
% 0.91/1.10 inference(transitivity,[status(thm)],[328, 98, 101, 103, 125, 128, 172, 327, 182, 82, 149, 139])).
% 0.91/1.10 tff(330,plain,
% 0.91/1.10 (multiply(sk_c3, sk_c4) = multiply(sk_c3, multiply(sk_c7, sk_c3))),
% 0.91/1.10 inference(monotonicity,[status(thm)],[329])).
% 0.91/1.10 tff(331,plain,
% 0.91/1.10 (multiply(sk_c3, multiply(sk_c7, sk_c3)) = multiply(sk_c3, sk_c4)),
% 0.91/1.10 inference(symmetry,[status(thm)],[330])).
% 0.91/1.10 tff(332,plain,
% 0.91/1.10 (multiply(sk_c6, sk_c3) = multiply(sk_c3, sk_c4)),
% 0.91/1.10 inference(transitivity,[status(thm)],[304, 307, 331])).
% 0.91/1.10 tff(333,plain,
% 0.91/1.10 (multiply(multiply(sk_c6, sk_c3), sk_c5) = multiply(multiply(sk_c3, sk_c4), multiply(sk_c6, sk_c5))),
% 0.91/1.10 inference(monotonicity,[status(thm)],[332, 326])).
% 0.91/1.10 tff(334,plain,
% 0.91/1.10 (multiply(multiply(sk_c3, sk_c4), multiply(sk_c6, sk_c5)) = multiply(multiply(sk_c6, sk_c3), sk_c5)),
% 0.91/1.10 inference(symmetry,[status(thm)],[333])).
% 0.91/1.10 tff(335,plain,
% 0.91/1.10 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, sk_c4), sk_c6), sk_c5) = multiply(multiply(sk_c3, sk_c4), multiply(sk_c6, sk_c5)))),
% 0.91/1.10 inference(quant_inst,[status(thm)],[])).
% 0.91/1.10 tff(336,plain,
% 0.91/1.10 (multiply(multiply(multiply(sk_c3, sk_c4), sk_c6), sk_c5) = multiply(multiply(sk_c3, sk_c4), multiply(sk_c6, sk_c5))),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[335, 19])).
% 0.91/1.10 tff(337,plain,
% 0.91/1.10 (multiply(sk_c3, multiply(sk_c4, sk_c6)) = multiply(sk_c3, sk_c5)),
% 0.91/1.10 inference(monotonicity,[status(thm)],[32])).
% 0.91/1.10 tff(338,plain,
% 0.91/1.10 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c4), sk_c6) = multiply(sk_c3, multiply(sk_c4, sk_c6)))),
% 0.91/1.10 inference(quant_inst,[status(thm)],[])).
% 0.91/1.10 tff(339,plain,
% 0.91/1.10 (multiply(multiply(sk_c3, sk_c4), sk_c6) = multiply(sk_c3, multiply(sk_c4, sk_c6))),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[338, 19])).
% 0.91/1.10 tff(340,plain,
% 0.91/1.10 (multiply(multiply(sk_c3, sk_c4), sk_c6) = multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7))),
% 0.91/1.10 inference(transitivity,[status(thm)],[339, 337, 132])).
% 0.91/1.10 tff(341,plain,
% 0.91/1.10 (multiply(multiply(multiply(sk_c3, sk_c4), sk_c6), sk_c5) = multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), sk_c5)),
% 0.91/1.10 inference(monotonicity,[status(thm)],[340])).
% 0.91/1.10 tff(342,plain,
% 0.91/1.10 (multiply(multiply(sk_c3, multiply(multiply(sk_c4, sk_c3), sk_c7)), sk_c5) = multiply(multiply(multiply(sk_c3, sk_c4), sk_c6), sk_c5)),
% 0.91/1.10 inference(symmetry,[status(thm)],[341])).
% 0.91/1.10 tff(343,plain,
% 0.91/1.10 (inverse(sk_c3) = sk_c6),
% 0.91/1.10 inference(transitivity,[status(thm)],[8, 142, 35, 38, 67, 21, 27, 32, 238, 325, 322, 320, 342, 336, 334, 312, 303, 301, 132, 123, 299, 297, 294, 292, 290, 288, 286, 283, 277, 275, 272, 270, 268, 180, 178, 26])).
% 0.91/1.10 tff(344,plain,
% 0.91/1.10 (inverse(sk_c7) = sk_c5),
% 0.91/1.10 inference(modus_ponens,[status(thm)],[343, 265])).
% 0.91/1.10 tff(345,plain,
% 0.91/1.10 ($false),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[2, 344])).
% 0.91/1.10 tff(346,plain,(inverse(sk_c7) = sk_c5), inference(lemma,lemma(discharge,[]))).
% 0.91/1.10 tff(347,plain,
% 0.91/1.10 (sk_c5 = inverse(sk_c7)),
% 0.91/1.10 inference(symmetry,[status(thm)],[346])).
% 0.91/1.10 tff(348,assumption,(~(multiply(sk_c4, sk_c6) = sk_c5)), introduced(assumption)).
% 0.91/1.10 tff(349,plain,
% 0.91/1.10 (((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c6) = sk_c5)) <=> ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c6) = sk_c5))),
% 0.91/1.10 inference(rewrite,[status(thm)],[])).
% 0.91/1.10 tff(350,axiom,((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c6) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_3')).
% 0.91/1.10 tff(351,plain,
% 0.91/1.10 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c6) = sk_c5)),
% 0.91/1.10 inference(modus_ponens,[status(thm)],[350, 349])).
% 0.91/1.10 tff(352,plain,
% 0.91/1.10 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c6) = sk_c5)),
% 0.91/1.10 inference(modus_ponens,[status(thm)],[351, 349])).
% 0.91/1.10 tff(353,plain,
% 0.91/1.10 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c6) = sk_c5)),
% 0.91/1.10 inference(modus_ponens,[status(thm)],[352, 349])).
% 0.91/1.10 tff(354,plain,
% 0.91/1.10 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c6) = sk_c5)),
% 0.91/1.10 inference(modus_ponens,[status(thm)],[353, 349])).
% 0.91/1.10 tff(355,plain,
% 0.91/1.10 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c6) = sk_c5)),
% 0.91/1.10 inference(modus_ponens,[status(thm)],[354, 349])).
% 0.91/1.10 tff(356,plain,
% 0.91/1.10 (multiply(sk_c7, sk_c6) = sk_c5),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[355, 348])).
% 0.91/1.10 tff(357,plain,
% 0.91/1.10 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c1), sk_c1) = identity)),
% 0.91/1.10 inference(quant_inst,[status(thm)],[])).
% 0.91/1.10 tff(358,plain,
% 0.91/1.10 (multiply(inverse(sk_c1), sk_c1) = identity),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[357, 55])).
% 0.91/1.10 tff(359,plain,
% 0.91/1.10 (((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c6) = sk_c5)) <=> ((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c6) = sk_c5))),
% 0.91/1.10 inference(rewrite,[status(thm)],[])).
% 0.91/1.10 tff(360,axiom,((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c6) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_20')).
% 0.91/1.10 tff(361,plain,
% 0.91/1.10 ((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c6) = sk_c5)),
% 0.91/1.10 inference(modus_ponens,[status(thm)],[360, 359])).
% 0.91/1.10 tff(362,plain,
% 0.91/1.10 (inverse(sk_c1) = sk_c7),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[361, 348])).
% 0.91/1.10 tff(363,plain,
% 0.91/1.10 (sk_c7 = inverse(sk_c1)),
% 0.91/1.10 inference(symmetry,[status(thm)],[362])).
% 0.91/1.10 tff(364,plain,
% 0.91/1.10 (multiply(sk_c7, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 0.91/1.10 inference(monotonicity,[status(thm)],[363])).
% 0.91/1.10 tff(365,plain,
% 0.91/1.10 (multiply(sk_c7, sk_c1) = identity),
% 0.91/1.10 inference(transitivity,[status(thm)],[364, 358])).
% 0.91/1.10 tff(366,plain,
% 0.91/1.10 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(identity, sk_c7)),
% 0.91/1.10 inference(monotonicity,[status(thm)],[365])).
% 0.91/1.10 tff(367,plain,
% 0.91/1.10 ((~![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)))),
% 0.91/1.10 inference(quant_inst,[status(thm)],[])).
% 0.91/1.10 tff(368,plain,
% 0.91/1.10 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[367, 19])).
% 0.91/1.10 tff(369,plain,
% 0.91/1.10 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 0.91/1.10 inference(symmetry,[status(thm)],[368])).
% 0.91/1.10 tff(370,plain,
% 0.91/1.10 (((multiply(sk_c1, sk_c7) = sk_c2) | (multiply(sk_c4, sk_c6) = sk_c5)) <=> ((multiply(sk_c1, sk_c7) = sk_c2) | (multiply(sk_c4, sk_c6) = sk_c5))),
% 0.91/1.10 inference(rewrite,[status(thm)],[])).
% 0.91/1.10 tff(371,axiom,((multiply(sk_c1, sk_c7) = sk_c2) | (multiply(sk_c4, sk_c6) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_16')).
% 0.91/1.10 tff(372,plain,
% 0.91/1.10 ((multiply(sk_c1, sk_c7) = sk_c2) | (multiply(sk_c4, sk_c6) = sk_c5)),
% 0.91/1.10 inference(modus_ponens,[status(thm)],[371, 370])).
% 0.91/1.10 tff(373,plain,
% 0.91/1.10 (multiply(sk_c1, sk_c7) = sk_c2),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[372, 348])).
% 0.91/1.10 tff(374,plain,
% 0.91/1.10 (sk_c2 = multiply(sk_c1, sk_c7)),
% 0.91/1.10 inference(symmetry,[status(thm)],[373])).
% 0.91/1.10 tff(375,plain,
% 0.91/1.10 (multiply(sk_c7, sk_c2) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 0.91/1.10 inference(monotonicity,[status(thm)],[374])).
% 0.91/1.10 tff(376,plain,
% 0.91/1.10 (((multiply(sk_c4, sk_c6) = sk_c5) | (multiply(sk_c7, sk_c2) = sk_c6)) <=> ((multiply(sk_c4, sk_c6) = sk_c5) | (multiply(sk_c7, sk_c2) = sk_c6))),
% 0.91/1.10 inference(rewrite,[status(thm)],[])).
% 0.91/1.10 tff(377,plain,
% 0.91/1.10 (((multiply(sk_c7, sk_c2) = sk_c6) | (multiply(sk_c4, sk_c6) = sk_c5)) <=> ((multiply(sk_c4, sk_c6) = sk_c5) | (multiply(sk_c7, sk_c2) = sk_c6))),
% 0.91/1.10 inference(rewrite,[status(thm)],[])).
% 0.91/1.10 tff(378,axiom,((multiply(sk_c7, sk_c2) = sk_c6) | (multiply(sk_c4, sk_c6) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_12')).
% 0.91/1.10 tff(379,plain,
% 0.91/1.10 ((multiply(sk_c4, sk_c6) = sk_c5) | (multiply(sk_c7, sk_c2) = sk_c6)),
% 0.91/1.10 inference(modus_ponens,[status(thm)],[378, 377])).
% 0.91/1.10 tff(380,plain,
% 0.91/1.10 ((multiply(sk_c4, sk_c6) = sk_c5) | (multiply(sk_c7, sk_c2) = sk_c6)),
% 0.91/1.10 inference(modus_ponens,[status(thm)],[379, 376])).
% 0.91/1.10 tff(381,plain,
% 0.91/1.10 (multiply(sk_c7, sk_c2) = sk_c6),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[380, 348])).
% 0.91/1.10 tff(382,plain,
% 0.91/1.10 (sk_c6 = multiply(sk_c7, sk_c2)),
% 0.91/1.10 inference(symmetry,[status(thm)],[381])).
% 0.91/1.10 tff(383,plain,
% 0.91/1.10 (sk_c6 = sk_c7),
% 0.91/1.10 inference(transitivity,[status(thm)],[382, 375, 369, 366, 48])).
% 0.91/1.10 tff(384,plain,
% 0.91/1.10 (multiply(sk_c7, sk_c6) = multiply(sk_c7, sk_c7)),
% 0.91/1.10 inference(monotonicity,[status(thm)],[383])).
% 0.91/1.10 tff(385,plain,
% 0.91/1.10 (multiply(sk_c7, sk_c7) = multiply(sk_c7, sk_c6)),
% 0.91/1.10 inference(symmetry,[status(thm)],[384])).
% 0.91/1.10 tff(386,plain,
% 0.91/1.10 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c2) = sk_c2)),
% 0.91/1.10 inference(quant_inst,[status(thm)],[])).
% 0.91/1.10 tff(387,plain,
% 0.91/1.10 (multiply(identity, sk_c2) = sk_c2),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[386, 46])).
% 0.91/1.10 tff(388,plain,
% 0.91/1.10 (multiply(sk_c5, sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 0.91/1.10 inference(monotonicity,[status(thm)],[347])).
% 0.91/1.10 tff(389,plain,
% 0.91/1.10 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c5, sk_c7)),
% 0.91/1.10 inference(symmetry,[status(thm)],[388])).
% 0.91/1.10 tff(390,plain,
% 0.91/1.10 (identity = multiply(sk_c5, sk_c7)),
% 0.91/1.10 inference(transitivity,[status(thm)],[189, 389])).
% 0.91/1.10 tff(391,plain,
% 0.91/1.10 (multiply(identity, sk_c2) = multiply(multiply(sk_c5, sk_c7), sk_c2)),
% 0.91/1.10 inference(monotonicity,[status(thm)],[390])).
% 0.91/1.10 tff(392,plain,
% 0.91/1.10 (multiply(multiply(sk_c5, sk_c7), sk_c2) = multiply(identity, sk_c2)),
% 0.91/1.10 inference(symmetry,[status(thm)],[391])).
% 0.91/1.10 tff(393,plain,
% 0.91/1.10 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c7), sk_c2) = multiply(sk_c5, multiply(sk_c7, sk_c2)))),
% 0.91/1.10 inference(quant_inst,[status(thm)],[])).
% 0.91/1.10 tff(394,plain,
% 0.91/1.10 (multiply(multiply(sk_c5, sk_c7), sk_c2) = multiply(sk_c5, multiply(sk_c7, sk_c2))),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[393, 19])).
% 0.91/1.10 tff(395,plain,
% 0.91/1.10 (multiply(sk_c5, multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c5, sk_c7), sk_c2)),
% 0.91/1.10 inference(symmetry,[status(thm)],[394])).
% 0.91/1.10 tff(396,plain,
% 0.91/1.10 (multiply(sk_c5, multiply(sk_c7, sk_c2)) = multiply(sk_c5, sk_c6)),
% 0.91/1.10 inference(monotonicity,[status(thm)],[381])).
% 0.91/1.10 tff(397,plain,
% 0.91/1.10 (multiply(sk_c5, sk_c6) = multiply(sk_c5, multiply(sk_c7, sk_c2))),
% 0.91/1.10 inference(symmetry,[status(thm)],[396])).
% 0.91/1.10 tff(398,plain,
% 0.91/1.10 (sk_c7 = sk_c2),
% 0.91/1.10 inference(transitivity,[status(thm)],[142, 397, 395, 392, 387])).
% 0.91/1.10 tff(399,plain,
% 0.91/1.10 (multiply(sk_c7, sk_c7) = multiply(sk_c7, sk_c2)),
% 0.91/1.10 inference(monotonicity,[status(thm)],[398])).
% 0.91/1.10 tff(400,plain,
% 0.91/1.10 (multiply(sk_c7, sk_c2) = multiply(sk_c7, sk_c7)),
% 0.91/1.10 inference(symmetry,[status(thm)],[399])).
% 0.91/1.10 tff(401,plain,
% 0.91/1.10 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(sk_c7, sk_c2)),
% 0.91/1.10 inference(symmetry,[status(thm)],[375])).
% 0.91/1.10 tff(402,plain,
% 0.91/1.10 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 0.91/1.10 inference(symmetry,[status(thm)],[366])).
% 0.91/1.10 tff(403,plain,
% 0.91/1.10 (sk_c2 = multiply(identity, sk_c2)),
% 0.91/1.10 inference(symmetry,[status(thm)],[387])).
% 0.91/1.10 tff(404,plain,
% 0.91/1.10 (multiply(sk_c1, sk_c6) = multiply(sk_c1, sk_c7)),
% 0.91/1.10 inference(monotonicity,[status(thm)],[383])).
% 0.91/1.10 tff(405,plain,
% 0.91/1.10 (multiply(sk_c1, sk_c6) = sk_c5),
% 0.91/1.10 inference(transitivity,[status(thm)],[404, 373, 403, 391, 394, 396, 12, 197, 402, 368, 401, 400, 385, 356])).
% 0.91/1.10 tff(406,plain,
% 0.91/1.10 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6),
% 0.91/1.10 inference(transitivity,[status(thm)],[401, 381])).
% 0.91/1.10 tff(407,plain,
% 0.91/1.10 (inverse(sk_c1) = sk_c6),
% 0.91/1.10 inference(transitivity,[status(thm)],[362, 197, 402, 368, 401, 381])).
% 0.91/1.10 tff(408,plain,
% 0.91/1.10 (multiply(sk_c1, sk_c7) = inverse(sk_c1)),
% 0.91/1.10 inference(transitivity,[status(thm)],[373, 403, 391, 394, 396, 12, 363])).
% 0.91/1.10 tff(409,plain,
% 0.91/1.10 ((multiply(sk_c1, sk_c7) = sk_c6) <=> (inverse(sk_c1) = sk_c6)),
% 0.91/1.10 inference(monotonicity,[status(thm)],[408])).
% 0.91/1.10 tff(410,plain,
% 0.91/1.10 ((inverse(sk_c1) = sk_c6) <=> (multiply(sk_c1, sk_c7) = sk_c6)),
% 0.91/1.10 inference(symmetry,[status(thm)],[409])).
% 0.91/1.10 tff(411,plain,
% 0.91/1.10 (multiply(sk_c1, sk_c7) = sk_c6),
% 0.91/1.10 inference(modus_ponens,[status(thm)],[407, 410])).
% 0.91/1.10 tff(412,plain,
% 0.91/1.10 (^[X4: $i, X2: $i, X1: $i] : refl(((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X4) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X4) = sk_c7))))),
% 0.91/1.10 inference(bind,[status(th)],[])).
% 0.91/1.10 tff(413,plain,
% 0.91/1.10 (![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X4) = sk_c7))) <=> ![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X4) = sk_c7)))),
% 0.91/1.10 inference(quant_intro,[status(thm)],[412])).
% 0.91/1.10 tff(414,plain,
% 0.91/1.10 (![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X4) = sk_c7))) <=> ![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X4) = sk_c7)))),
% 0.91/1.10 inference(rewrite,[status(thm)],[])).
% 0.91/1.10 tff(415,plain,
% 0.91/1.10 (^[X4: $i, X2: $i, X1: $i] : rewrite(((~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X4) = sk_c7))))),
% 0.91/1.10 inference(bind,[status(th)],[])).
% 0.91/1.10 tff(416,plain,
% 0.91/1.10 (![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7))) <=> ![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X4) = sk_c7)))),
% 0.91/1.10 inference(quant_intro,[status(thm)],[415])).
% 0.91/1.10 tff(417,plain,
% 0.91/1.10 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7))) <=> ![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))),
% 0.91/1.10 inference(elim_unused_vars,[status(thm)],[])).
% 0.91/1.10 tff(418,plain,
% 0.91/1.10 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))),
% 0.91/1.10 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.91/1.10 tff(419,plain,
% 0.91/1.10 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6))) <=> ![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))),
% 0.91/1.10 inference(transitivity,[status(thm)],[418, 417])).
% 0.91/1.10 tff(420,plain,
% 0.91/1.10 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6))) <=> ![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X4) = sk_c7)))),
% 0.91/1.10 inference(transitivity,[status(thm)],[419, 416])).
% 0.91/1.10 tff(421,plain,
% 0.91/1.10 (^[X4: $i, X3: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)))), ((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(sk_c5, sk_c6) = sk_c7))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(sk_c5, sk_c6) = sk_c7))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(sk_c5, sk_c6) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)))), ((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(sk_c5, sk_c6) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7))))), (((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(sk_c5, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X3) = sk_c6))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X3) = sk_c6))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X3) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(sk_c7, X3) = sk_c6)))), (((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(sk_c5, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X3) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(sk_c7, X3) = sk_c6))))), ((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(sk_c5, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X4, sk_c7) = X3))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X4, sk_c7) = X3))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X4, sk_c7) = X3))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)))), ((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(sk_c5, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X4, sk_c7) = X3))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6))))), (((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(sk_c5, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X4, sk_c7) = X3))) | (~(inverse(X4) = sk_c7))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(inverse(X4) = sk_c7))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(inverse(X4) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)))), (((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(sk_c5, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X4, sk_c7) = X3))) | (~(inverse(X4) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6))))), ((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(sk_c5, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X4, sk_c7) = X3))) | (~(inverse(X4) = sk_c7))) | (~(multiply(X1, sk_c7) = sk_c6))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X1, sk_c7) = sk_c6))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X1, sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)))), ((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(sk_c5, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X4, sk_c7) = X3))) | (~(inverse(X4) = sk_c7))) | (~(multiply(X1, sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6))))), (((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(sk_c5, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X4, sk_c7) = X3))) | (~(inverse(X4) = sk_c7))) | (~(multiply(X1, sk_c7) = sk_c6))) | (~(inverse(X1) = sk_c7))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(inverse(X1) = sk_c7))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(inverse(X1) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)))), (((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(sk_c5, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X4, sk_c7) = X3))) | (~(inverse(X4) = sk_c7))) | (~(multiply(X1, sk_c7) = sk_c6))) | (~(inverse(X1) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6))))), ((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(sk_c5, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X4, sk_c7) = X3))) | (~(inverse(X4) = sk_c7))) | (~(multiply(X1, sk_c7) = sk_c6))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X2, sk_c6) = sk_c5))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X2, sk_c6) = sk_c5))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X2, sk_c6) = sk_c5))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)))), ((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(sk_c5, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X4, sk_c7) = X3))) | (~(inverse(X4) = sk_c7))) | (~(multiply(X1, sk_c7) = sk_c6))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X2, sk_c6) = sk_c5))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6))))), (((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(sk_c5, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X4, sk_c7) = X3))) | (~(inverse(X4) = sk_c7))) | (~(multiply(X1, sk_c7) = sk_c6))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X2, sk_c6) = sk_c5))) | (~(inverse(X2) = sk_c6))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(inverse(X2) = sk_c6))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(inverse(X2) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)))), (((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(sk_c5, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X4, sk_c7) = X3))) | (~(inverse(X4) = sk_c7))) | (~(multiply(X1, sk_c7) = sk_c6))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X2, sk_c6) = sk_c5))) | (~(inverse(X2) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)))))),
% 0.91/1.11 inference(bind,[status(th)],[])).
% 0.91/1.11 tff(422,plain,
% 0.91/1.11 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(sk_c5, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X4, sk_c7) = X3))) | (~(inverse(X4) = sk_c7))) | (~(multiply(X1, sk_c7) = sk_c6))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X2, sk_c6) = sk_c5))) | (~(inverse(X2) = sk_c6))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)))),
% 0.91/1.11 inference(quant_intro,[status(thm)],[421])).
% 0.91/1.11 tff(423,plain,
% 0.91/1.11 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(sk_c5, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X4, sk_c7) = X3))) | (~(inverse(X4) = sk_c7))) | (~(multiply(X1, sk_c7) = sk_c6))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X2, sk_c6) = sk_c5))) | (~(inverse(X2) = sk_c6))) <=> ![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X4) = sk_c7)))),
% 0.91/1.11 inference(transitivity,[status(thm)],[422, 420])).
% 0.91/1.11 tff(424,axiom,(![X4: $i, X3: $i, X2: $i, X1: $i] : ((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(sk_c5, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X4, sk_c7) = X3))) | (~(inverse(X4) = sk_c7))) | (~(multiply(X1, sk_c7) = sk_c6))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X2, sk_c6) = sk_c5))) | (~(inverse(X2) = sk_c6)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_22')).
% 0.91/1.11 tff(425,plain,
% 0.91/1.11 (![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X4) = sk_c7)))),
% 0.91/1.11 inference(modus_ponens,[status(thm)],[424, 423])).
% 0.91/1.11 tff(426,plain,
% 0.91/1.11 (![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X4) = sk_c7)))),
% 0.91/1.11 inference(modus_ponens,[status(thm)],[425, 414])).
% 0.91/1.11 tff(427,plain,(
% 0.91/1.11 ![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X4) = sk_c7)))),
% 0.91/1.11 inference(skolemize,[status(sab)],[426])).
% 0.91/1.11 tff(428,plain,
% 0.91/1.11 (![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X4) = sk_c7)))),
% 0.91/1.11 inference(modus_ponens,[status(thm)],[427, 413])).
% 0.91/1.11 tff(429,plain,
% 0.91/1.11 (((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c5)))) <=> ((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c5)))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(430,plain,
% 0.91/1.11 (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c5)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)) | (~(inverse(sk_c1) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c5)))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(431,plain,
% 0.91/1.11 (((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c5)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)))) <=> ((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c5))))),
% 0.91/1.11 inference(monotonicity,[status(thm)],[430])).
% 0.91/1.11 tff(432,plain,
% 0.91/1.11 (((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c5)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)))) <=> ((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c5)))),
% 0.91/1.11 inference(transitivity,[status(thm)],[431, 429])).
% 0.91/1.11 tff(433,plain,
% 0.91/1.11 ((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c5)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)))),
% 0.91/1.11 inference(quant_inst,[status(thm)],[])).
% 0.91/1.11 tff(434,plain,
% 0.91/1.11 ((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c5))),
% 0.91/1.11 inference(modus_ponens,[status(thm)],[433, 432])).
% 0.91/1.11 tff(435,plain,
% 0.91/1.11 ((~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c5))),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[434, 356, 346, 12, 362, 428])).
% 0.91/1.11 tff(436,plain,
% 0.91/1.11 ($false),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[435, 411, 407, 406, 405])).
% 0.91/1.11 tff(437,plain,(multiply(sk_c4, sk_c6) = sk_c5), inference(lemma,lemma(discharge,[]))).
% 0.91/1.11 tff(438,assumption,(~(multiply(sk_c7, sk_c6) = sk_c5)), introduced(assumption)).
% 0.91/1.11 tff(439,plain,
% 0.91/1.11 (((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c7) = sk_c6)) <=> ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c7) = sk_c6))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(440,axiom,((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c7) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_1')).
% 0.91/1.11 tff(441,plain,
% 0.91/1.11 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c7) = sk_c6)),
% 0.91/1.11 inference(modus_ponens,[status(thm)],[440, 439])).
% 0.91/1.11 tff(442,plain,
% 0.91/1.11 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c7) = sk_c6)),
% 0.91/1.11 inference(modus_ponens,[status(thm)],[441, 439])).
% 0.91/1.11 tff(443,plain,
% 0.91/1.11 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c7) = sk_c6)),
% 0.91/1.11 inference(modus_ponens,[status(thm)],[442, 439])).
% 0.91/1.11 tff(444,plain,
% 0.91/1.11 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c7) = sk_c6)),
% 0.91/1.11 inference(modus_ponens,[status(thm)],[443, 439])).
% 0.91/1.11 tff(445,plain,
% 0.91/1.11 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c7) = sk_c6)),
% 0.91/1.11 inference(modus_ponens,[status(thm)],[444, 439])).
% 0.91/1.11 tff(446,plain,
% 0.91/1.11 (multiply(sk_c3, sk_c7) = sk_c6),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[445, 438])).
% 0.91/1.11 tff(447,plain,
% 0.91/1.11 (sk_c6 = multiply(sk_c3, sk_c7)),
% 0.91/1.11 inference(symmetry,[status(thm)],[446])).
% 0.91/1.11 tff(448,plain,
% 0.91/1.11 (multiply(sk_c4, sk_c6) = multiply(sk_c4, multiply(sk_c3, sk_c7))),
% 0.91/1.11 inference(monotonicity,[status(thm)],[447])).
% 0.91/1.11 tff(449,plain,
% 0.91/1.11 (multiply(sk_c4, multiply(sk_c3, sk_c7)) = multiply(sk_c4, sk_c6)),
% 0.91/1.11 inference(symmetry,[status(thm)],[448])).
% 0.91/1.11 tff(450,plain,
% 0.91/1.11 (((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)) <=> ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(451,axiom,((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_2')).
% 0.91/1.11 tff(452,plain,
% 0.91/1.11 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 0.91/1.11 inference(modus_ponens,[status(thm)],[451, 450])).
% 0.91/1.11 tff(453,plain,
% 0.91/1.11 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 0.91/1.11 inference(modus_ponens,[status(thm)],[452, 450])).
% 0.91/1.11 tff(454,plain,
% 0.91/1.11 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 0.91/1.11 inference(modus_ponens,[status(thm)],[453, 450])).
% 0.91/1.11 tff(455,plain,
% 0.91/1.11 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 0.91/1.11 inference(modus_ponens,[status(thm)],[454, 450])).
% 0.91/1.11 tff(456,plain,
% 0.91/1.11 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 0.91/1.11 inference(modus_ponens,[status(thm)],[455, 450])).
% 0.91/1.11 tff(457,plain,
% 0.91/1.11 (inverse(sk_c3) = sk_c7),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[456, 438])).
% 0.91/1.11 tff(458,plain,
% 0.91/1.11 (sk_c7 = inverse(sk_c3)),
% 0.91/1.11 inference(symmetry,[status(thm)],[457])).
% 0.91/1.11 tff(459,plain,
% 0.91/1.11 (multiply(sk_c7, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 0.91/1.11 inference(monotonicity,[status(thm)],[458])).
% 0.91/1.11 tff(460,plain,
% 0.91/1.11 (multiply(inverse(sk_c3), sk_c3) = multiply(sk_c7, sk_c3)),
% 0.91/1.11 inference(symmetry,[status(thm)],[459])).
% 0.91/1.11 tff(461,plain,
% 0.91/1.11 (identity = multiply(sk_c7, sk_c3)),
% 0.91/1.11 inference(transitivity,[status(thm)],[149, 460])).
% 0.91/1.11 tff(462,plain,
% 0.91/1.11 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c3), sk_c7)),
% 0.91/1.11 inference(monotonicity,[status(thm)],[461])).
% 0.91/1.11 tff(463,plain,
% 0.91/1.11 (sk_c7 = multiply(sk_c7, multiply(sk_c3, sk_c7))),
% 0.91/1.11 inference(transitivity,[status(thm)],[197, 462, 62])).
% 0.91/1.11 tff(464,plain,
% 0.91/1.11 (multiply(multiply(sk_c4, sk_c3), sk_c7) = multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, multiply(sk_c3, sk_c7)))),
% 0.91/1.11 inference(monotonicity,[status(thm)],[463])).
% 0.91/1.11 tff(465,plain,
% 0.91/1.11 (multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, multiply(sk_c3, sk_c7))) = multiply(multiply(sk_c4, sk_c3), sk_c7)),
% 0.91/1.11 inference(symmetry,[status(thm)],[464])).
% 0.91/1.11 tff(466,plain,
% 0.91/1.11 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c3, sk_c7))),
% 0.91/1.11 inference(monotonicity,[status(thm)],[447])).
% 0.91/1.11 tff(467,plain,
% 0.91/1.11 (multiply(sk_c7, multiply(sk_c3, sk_c7)) = multiply(sk_c7, sk_c6)),
% 0.91/1.11 inference(symmetry,[status(thm)],[466])).
% 0.91/1.11 tff(468,plain,
% 0.91/1.11 (multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, multiply(sk_c3, sk_c7))) = multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c6))),
% 0.91/1.11 inference(monotonicity,[status(thm)],[467])).
% 0.91/1.11 tff(469,plain,
% 0.91/1.11 (multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, multiply(sk_c3, sk_c7)))),
% 0.91/1.11 inference(symmetry,[status(thm)],[468])).
% 0.91/1.11 tff(470,plain,
% 0.91/1.11 (multiply(multiply(sk_c4, sk_c3), sk_c7) = sk_c5),
% 0.91/1.12 inference(transitivity,[status(thm)],[21, 449, 437])).
% 0.91/1.12 tff(471,plain,
% 0.91/1.12 (multiply(multiply(multiply(sk_c4, sk_c3), sk_c7), sk_c6) = multiply(sk_c5, sk_c6)),
% 0.91/1.12 inference(monotonicity,[status(thm)],[470])).
% 0.91/1.12 tff(472,plain,
% 0.91/1.12 (multiply(sk_c5, sk_c6) = multiply(multiply(multiply(sk_c4, sk_c3), sk_c7), sk_c6)),
% 0.91/1.12 inference(symmetry,[status(thm)],[471])).
% 0.91/1.12 tff(473,plain,
% 0.91/1.12 (multiply(multiply(sk_c7, sk_c3), sk_c7) = multiply(identity, sk_c7)),
% 0.91/1.12 inference(symmetry,[status(thm)],[462])).
% 0.91/1.12 tff(474,plain,
% 0.91/1.12 (multiply(sk_c7, sk_c6) = sk_c5),
% 0.91/1.12 inference(transitivity,[status(thm)],[466, 63, 473, 48, 142, 472, 38, 469, 465, 21, 449, 437])).
% 0.91/1.12 tff(475,plain,
% 0.91/1.12 ($false),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[438, 474])).
% 0.91/1.12 tff(476,plain,(multiply(sk_c7, sk_c6) = sk_c5), inference(lemma,lemma(discharge,[]))).
% 0.91/1.12 tff(477,plain,
% 0.91/1.12 (multiply(multiply(sk_c5, sk_c6), sk_c6) = multiply(sk_c7, sk_c6)),
% 0.91/1.12 inference(monotonicity,[status(thm)],[12])).
% 0.91/1.12 tff(478,plain,
% 0.91/1.12 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c6), sk_c6) = multiply(sk_c5, multiply(sk_c6, sk_c6)))),
% 0.91/1.12 inference(quant_inst,[status(thm)],[])).
% 0.91/1.12 tff(479,plain,
% 0.91/1.12 (multiply(multiply(sk_c5, sk_c6), sk_c6) = multiply(sk_c5, multiply(sk_c6, sk_c6))),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[478, 19])).
% 0.91/1.12 tff(480,plain,
% 0.91/1.12 (multiply(sk_c5, multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c5, sk_c6), sk_c6)),
% 0.91/1.12 inference(symmetry,[status(thm)],[479])).
% 0.91/1.12 tff(481,plain,
% 0.91/1.12 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c6) = sk_c6)),
% 0.91/1.12 inference(quant_inst,[status(thm)],[])).
% 0.91/1.12 tff(482,plain,
% 0.91/1.12 (multiply(identity, sk_c6) = sk_c6),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[481, 46])).
% 0.91/1.12 tff(483,plain,
% 0.91/1.12 (sk_c6 = multiply(identity, sk_c6)),
% 0.91/1.12 inference(symmetry,[status(thm)],[482])).
% 0.91/1.12 tff(484,plain,
% 0.91/1.12 (multiply(sk_c6, sk_c6) = multiply(multiply(identity, sk_c6), sk_c6)),
% 0.91/1.12 inference(monotonicity,[status(thm)],[483])).
% 0.91/1.12 tff(485,plain,
% 0.91/1.12 (multiply(multiply(identity, sk_c6), sk_c6) = multiply(sk_c6, sk_c6)),
% 0.91/1.12 inference(symmetry,[status(thm)],[484])).
% 0.91/1.12 tff(486,plain,
% 0.91/1.12 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c6), sk_c6) = multiply(identity, multiply(sk_c6, sk_c6)))),
% 0.91/1.12 inference(quant_inst,[status(thm)],[])).
% 0.91/1.12 tff(487,plain,
% 0.91/1.12 (multiply(multiply(identity, sk_c6), sk_c6) = multiply(identity, multiply(sk_c6, sk_c6))),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[486, 19])).
% 0.91/1.12 tff(488,plain,
% 0.91/1.12 (multiply(identity, multiply(sk_c6, sk_c6)) = multiply(multiply(identity, sk_c6), sk_c6)),
% 0.91/1.12 inference(symmetry,[status(thm)],[487])).
% 0.91/1.12 tff(489,plain,
% 0.91/1.12 (multiply(identity, multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c6, sk_c6))),
% 0.91/1.12 inference(monotonicity,[status(thm)],[390])).
% 0.91/1.12 tff(490,plain,
% 0.91/1.12 (multiply(multiply(sk_c5, sk_c7), multiply(sk_c6, sk_c6)) = multiply(identity, multiply(sk_c6, sk_c6))),
% 0.91/1.12 inference(symmetry,[status(thm)],[489])).
% 0.91/1.12 tff(491,plain,
% 0.91/1.12 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c7), multiply(sk_c6, sk_c6)) = multiply(sk_c5, multiply(sk_c7, multiply(sk_c6, sk_c6))))),
% 0.91/1.12 inference(quant_inst,[status(thm)],[])).
% 0.91/1.12 tff(492,plain,
% 0.91/1.12 (multiply(multiply(sk_c5, sk_c7), multiply(sk_c6, sk_c6)) = multiply(sk_c5, multiply(sk_c7, multiply(sk_c6, sk_c6)))),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[491, 19])).
% 0.91/1.12 tff(493,plain,
% 0.91/1.12 (multiply(sk_c5, multiply(sk_c7, multiply(sk_c6, sk_c6))) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c6, sk_c6))),
% 0.91/1.12 inference(symmetry,[status(thm)],[492])).
% 0.91/1.12 tff(494,plain,
% 0.91/1.12 (multiply(multiply(sk_c7, sk_c6), sk_c6) = multiply(sk_c5, sk_c6)),
% 0.91/1.12 inference(monotonicity,[status(thm)],[476])).
% 0.91/1.12 tff(495,plain,
% 0.91/1.12 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c6), sk_c6) = multiply(sk_c7, multiply(sk_c6, sk_c6)))),
% 0.91/1.12 inference(quant_inst,[status(thm)],[])).
% 0.91/1.12 tff(496,plain,
% 0.91/1.12 (multiply(multiply(sk_c7, sk_c6), sk_c6) = multiply(sk_c7, multiply(sk_c6, sk_c6))),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[495, 19])).
% 0.91/1.12 tff(497,plain,
% 0.91/1.12 (multiply(sk_c7, multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c7, sk_c6), sk_c6)),
% 0.91/1.12 inference(symmetry,[status(thm)],[496])).
% 0.91/1.12 tff(498,plain,
% 0.91/1.12 (multiply(sk_c7, multiply(sk_c6, sk_c6)) = sk_c7),
% 0.91/1.12 inference(transitivity,[status(thm)],[497, 494, 12])).
% 0.91/1.12 tff(499,plain,
% 0.91/1.12 (multiply(sk_c5, multiply(sk_c7, multiply(sk_c6, sk_c6))) = multiply(inverse(sk_c7), sk_c7)),
% 0.91/1.12 inference(monotonicity,[status(thm)],[347, 498])).
% 0.91/1.12 tff(500,plain,
% 0.91/1.12 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c5, multiply(sk_c7, multiply(sk_c6, sk_c6)))),
% 0.91/1.12 inference(symmetry,[status(thm)],[499])).
% 0.91/1.12 tff(501,plain,
% 0.91/1.12 (multiply(sk_c5, sk_c7) = multiply(sk_c6, sk_c6)),
% 0.91/1.12 inference(transitivity,[status(thm)],[388, 500, 493, 490, 488, 485])).
% 0.91/1.12 tff(502,plain,
% 0.91/1.12 (multiply(sk_c5, multiply(sk_c5, sk_c7)) = multiply(sk_c5, multiply(sk_c6, sk_c6))),
% 0.91/1.12 inference(monotonicity,[status(thm)],[501])).
% 0.91/1.12 tff(503,plain,
% 0.91/1.12 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c5), sk_c7) = multiply(sk_c5, multiply(sk_c5, sk_c7)))),
% 0.91/1.12 inference(quant_inst,[status(thm)],[])).
% 0.91/1.12 tff(504,plain,
% 0.91/1.12 (multiply(multiply(sk_c5, sk_c5), sk_c7) = multiply(sk_c5, multiply(sk_c5, sk_c7))),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[503, 19])).
% 0.91/1.12 tff(505,plain,
% 0.91/1.12 (sk_c5 = multiply(sk_c7, sk_c6)),
% 0.91/1.12 inference(symmetry,[status(thm)],[476])).
% 0.91/1.12 tff(506,plain,
% 0.91/1.12 (multiply(sk_c5, sk_c5) = multiply(sk_c5, multiply(sk_c7, sk_c6))),
% 0.91/1.12 inference(monotonicity,[status(thm)],[505])).
% 0.91/1.12 tff(507,plain,
% 0.91/1.12 (multiply(sk_c5, multiply(sk_c7, sk_c6)) = multiply(sk_c5, sk_c5)),
% 0.91/1.12 inference(symmetry,[status(thm)],[506])).
% 0.91/1.12 tff(508,plain,
% 0.91/1.12 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c7), sk_c6) = multiply(sk_c5, multiply(sk_c7, sk_c6)))),
% 0.91/1.12 inference(quant_inst,[status(thm)],[])).
% 0.91/1.12 tff(509,plain,
% 0.91/1.12 (multiply(multiply(sk_c5, sk_c7), sk_c6) = multiply(sk_c5, multiply(sk_c7, sk_c6))),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[508, 19])).
% 0.91/1.12 tff(510,plain,
% 0.91/1.12 (multiply(sk_c5, sk_c7) = identity),
% 0.91/1.12 inference(transitivity,[status(thm)],[388, 188])).
% 0.91/1.12 tff(511,plain,
% 0.91/1.12 (multiply(multiply(sk_c5, sk_c7), sk_c6) = multiply(identity, sk_c6)),
% 0.91/1.12 inference(monotonicity,[status(thm)],[510])).
% 0.91/1.12 tff(512,plain,
% 0.91/1.12 (multiply(identity, sk_c6) = multiply(multiply(sk_c5, sk_c7), sk_c6)),
% 0.91/1.12 inference(symmetry,[status(thm)],[511])).
% 0.91/1.12 tff(513,plain,
% 0.91/1.12 (sk_c6 = multiply(sk_c5, sk_c5)),
% 0.91/1.12 inference(transitivity,[status(thm)],[483, 512, 509, 507])).
% 0.91/1.12 tff(514,plain,
% 0.91/1.12 (multiply(sk_c6, sk_c7) = multiply(multiply(sk_c5, sk_c5), sk_c7)),
% 0.91/1.12 inference(monotonicity,[status(thm)],[513])).
% 0.91/1.12 tff(515,plain,
% 0.91/1.12 (multiply(sk_c6, multiply(sk_c5, sk_c6)) = multiply(sk_c6, sk_c7)),
% 0.91/1.12 inference(monotonicity,[status(thm)],[12])).
% 0.91/1.12 tff(516,plain,
% 0.91/1.12 ((~![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)))),
% 0.91/1.12 inference(quant_inst,[status(thm)],[])).
% 0.91/1.12 tff(517,plain,
% 0.91/1.12 (multiply(multiply(sk_c6, sk_c5), sk_c6) = multiply(sk_c6, multiply(sk_c5, sk_c6))),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[516, 19])).
% 0.91/1.12 tff(518,plain,
% 0.91/1.12 (multiply(sk_c5, multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c5, sk_c7), sk_c6)),
% 0.91/1.12 inference(symmetry,[status(thm)],[509])).
% 0.91/1.12 tff(519,plain,
% 0.91/1.12 (multiply(multiply(sk_c7, sk_c6), sk_c5) = multiply(sk_c5, sk_c5)),
% 0.91/1.12 inference(monotonicity,[status(thm)],[476])).
% 0.91/1.12 tff(520,plain,
% 0.91/1.12 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c6), sk_c5) = multiply(sk_c7, multiply(sk_c6, sk_c5)))),
% 0.91/1.12 inference(quant_inst,[status(thm)],[])).
% 0.91/1.12 tff(521,plain,
% 0.91/1.12 (multiply(multiply(sk_c7, sk_c6), sk_c5) = multiply(sk_c7, multiply(sk_c6, sk_c5))),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[520, 19])).
% 0.91/1.12 tff(522,plain,
% 0.91/1.12 (multiply(sk_c7, multiply(sk_c6, sk_c5)) = multiply(multiply(sk_c7, sk_c6), sk_c5)),
% 0.91/1.12 inference(symmetry,[status(thm)],[521])).
% 0.91/1.12 tff(523,plain,
% 0.91/1.12 (sk_c5 = multiply(sk_c4, sk_c6)),
% 0.91/1.12 inference(symmetry,[status(thm)],[437])).
% 0.91/1.12 tff(524,plain,
% 0.91/1.12 (multiply(sk_c6, sk_c5) = multiply(sk_c6, multiply(sk_c4, sk_c6))),
% 0.91/1.12 inference(monotonicity,[status(thm)],[523])).
% 0.91/1.12 tff(525,plain,
% 0.91/1.12 (multiply(sk_c6, multiply(sk_c4, sk_c6)) = multiply(sk_c6, sk_c5)),
% 0.91/1.12 inference(symmetry,[status(thm)],[524])).
% 0.91/1.12 tff(526,plain,
% 0.91/1.12 (multiply(multiply(sk_c5, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(sk_c7, multiply(sk_c6, sk_c5))),
% 0.91/1.12 inference(monotonicity,[status(thm)],[12, 525])).
% 0.91/1.12 tff(527,plain,
% 0.91/1.12 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6)))))),
% 0.91/1.12 inference(quant_inst,[status(thm)],[])).
% 0.91/1.12 tff(528,plain,
% 0.91/1.12 (multiply(multiply(sk_c5, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6))))),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[527, 19])).
% 0.91/1.12 tff(529,plain,
% 0.91/1.12 (multiply(sk_c5, multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6)))) = multiply(multiply(sk_c5, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.12 inference(symmetry,[status(thm)],[528])).
% 0.91/1.12 tff(530,plain,
% 0.91/1.12 (multiply(multiply(sk_c4, sk_c6), sk_c5) = multiply(sk_c5, sk_c5)),
% 0.91/1.12 inference(monotonicity,[status(thm)],[437])).
% 0.91/1.12 tff(531,plain,
% 0.91/1.12 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c6), sk_c5) = multiply(sk_c4, multiply(sk_c6, sk_c5)))),
% 0.91/1.12 inference(quant_inst,[status(thm)],[])).
% 0.91/1.12 tff(532,plain,
% 0.91/1.12 (multiply(multiply(sk_c4, sk_c6), sk_c5) = multiply(sk_c4, multiply(sk_c6, sk_c5))),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[531, 19])).
% 0.91/1.12 tff(533,plain,
% 0.91/1.12 (multiply(sk_c4, multiply(sk_c6, sk_c5)) = multiply(multiply(sk_c4, sk_c6), sk_c5)),
% 0.91/1.12 inference(symmetry,[status(thm)],[532])).
% 0.91/1.12 tff(534,plain,
% 0.91/1.12 (multiply(sk_c4, multiply(sk_c6, sk_c5)) = sk_c6),
% 0.91/1.12 inference(transitivity,[status(thm)],[533, 530, 506, 518, 511, 482])).
% 0.91/1.12 tff(535,plain,
% 0.91/1.12 (multiply(sk_c7, multiply(sk_c4, multiply(sk_c6, sk_c5))) = multiply(sk_c7, sk_c6)),
% 0.91/1.12 inference(monotonicity,[status(thm)],[534])).
% 0.91/1.12 tff(536,plain,
% 0.91/1.12 (multiply(sk_c7, multiply(sk_c4, multiply(sk_c6, sk_c5))) = sk_c5),
% 0.91/1.12 inference(transitivity,[status(thm)],[535, 476])).
% 0.91/1.12 tff(537,plain,
% 0.91/1.12 (multiply(multiply(sk_c7, multiply(sk_c4, multiply(sk_c6, sk_c5))), multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6)))) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6))))),
% 0.91/1.12 inference(monotonicity,[status(thm)],[536])).
% 0.91/1.12 tff(538,plain,
% 0.91/1.12 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c4, multiply(sk_c6, sk_c5))), multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6)))) = multiply(sk_c7, multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6))))))),
% 0.91/1.12 inference(quant_inst,[status(thm)],[])).
% 0.91/1.12 tff(539,plain,
% 0.91/1.12 (multiply(multiply(sk_c7, multiply(sk_c4, multiply(sk_c6, sk_c5))), multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6)))) = multiply(sk_c7, multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6)))))),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[538, 19])).
% 0.91/1.12 tff(540,plain,
% 0.91/1.12 (multiply(sk_c7, multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6))))) = multiply(multiply(sk_c7, multiply(sk_c4, multiply(sk_c6, sk_c5))), multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6))))),
% 0.91/1.12 inference(symmetry,[status(thm)],[539])).
% 0.91/1.12 tff(541,plain,
% 0.91/1.12 (multiply(sk_c4, multiply(sk_c6, sk_c5)) = multiply(sk_c5, sk_c5)),
% 0.91/1.12 inference(transitivity,[status(thm)],[533, 530])).
% 0.91/1.12 tff(542,plain,
% 0.91/1.12 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6)))) = multiply(multiply(sk_c5, sk_c5), multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6))))),
% 0.91/1.12 inference(monotonicity,[status(thm)],[541])).
% 0.91/1.12 tff(543,plain,
% 0.91/1.12 (multiply(multiply(sk_c5, sk_c5), multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6)))) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6))))),
% 0.91/1.12 inference(symmetry,[status(thm)],[542])).
% 0.91/1.12 tff(544,plain,
% 0.91/1.12 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c5), multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6)))) = multiply(sk_c5, multiply(sk_c5, multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6))))))),
% 0.91/1.12 inference(quant_inst,[status(thm)],[])).
% 0.91/1.12 tff(545,plain,
% 0.91/1.12 (multiply(multiply(sk_c5, sk_c5), multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6)))) = multiply(sk_c5, multiply(sk_c5, multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6)))))),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[544, 19])).
% 0.91/1.12 tff(546,plain,
% 0.91/1.12 (multiply(sk_c5, multiply(sk_c5, multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6))))) = multiply(multiply(sk_c5, sk_c5), multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6))))),
% 0.91/1.12 inference(symmetry,[status(thm)],[545])).
% 0.91/1.12 tff(547,plain,
% 0.91/1.12 (multiply(sk_c5, multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6)))) = sk_c6),
% 0.91/1.12 inference(transitivity,[status(thm)],[529, 526, 522, 519, 506, 518, 511, 482])).
% 0.91/1.12 tff(548,plain,
% 0.91/1.12 (multiply(sk_c5, multiply(sk_c5, multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6))))) = multiply(sk_c5, sk_c6)),
% 0.91/1.12 inference(monotonicity,[status(thm)],[547])).
% 0.91/1.12 tff(549,plain,
% 0.91/1.12 (multiply(sk_c5, sk_c6) = multiply(sk_c5, multiply(sk_c5, multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6)))))),
% 0.91/1.12 inference(symmetry,[status(thm)],[548])).
% 0.91/1.12 tff(550,plain,
% 0.91/1.12 (sk_c7 = multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6))))),
% 0.91/1.12 inference(transitivity,[status(thm)],[142, 549, 546, 543])).
% 0.91/1.12 tff(551,plain,
% 0.91/1.12 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6)))))),
% 0.91/1.12 inference(monotonicity,[status(thm)],[550])).
% 0.91/1.12 tff(552,plain,
% 0.91/1.12 (multiply(sk_c7, sk_c7) = sk_c6),
% 0.91/1.12 inference(transitivity,[status(thm)],[551, 540, 537, 529, 526, 522, 519, 506, 518, 511, 482])).
% 0.91/1.12 tff(553,plain,
% 0.91/1.12 (multiply(sk_c5, sk_c5) = sk_c6),
% 0.91/1.12 inference(transitivity,[status(thm)],[506, 518, 511, 482])).
% 0.91/1.12 tff(554,plain,
% 0.91/1.12 (multiply(multiply(sk_c5, sk_c5), sk_c5) = multiply(sk_c6, sk_c5)),
% 0.91/1.12 inference(monotonicity,[status(thm)],[553])).
% 0.91/1.12 tff(555,plain,
% 0.91/1.12 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c5), sk_c5) = multiply(sk_c5, multiply(sk_c5, sk_c5)))),
% 0.91/1.12 inference(quant_inst,[status(thm)],[])).
% 0.91/1.12 tff(556,plain,
% 0.91/1.12 (multiply(multiply(sk_c5, sk_c5), sk_c5) = multiply(sk_c5, multiply(sk_c5, sk_c5))),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[555, 19])).
% 0.91/1.12 tff(557,plain,
% 0.91/1.12 (multiply(sk_c5, multiply(sk_c5, sk_c5)) = multiply(multiply(sk_c5, sk_c5), sk_c5)),
% 0.91/1.12 inference(symmetry,[status(thm)],[556])).
% 0.91/1.12 tff(558,plain,
% 0.91/1.12 (multiply(sk_c5, sk_c6) = multiply(sk_c5, multiply(sk_c5, sk_c5))),
% 0.91/1.12 inference(monotonicity,[status(thm)],[513])).
% 0.91/1.12 tff(559,plain,
% 0.91/1.12 (sk_c7 = multiply(sk_c6, sk_c5)),
% 0.91/1.12 inference(transitivity,[status(thm)],[142, 558, 557, 554])).
% 0.91/1.12 tff(560,plain,
% 0.91/1.12 (multiply(sk_c7, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c6, sk_c5), sk_c6)),
% 0.91/1.12 inference(monotonicity,[status(thm)],[559, 552])).
% 0.91/1.12 tff(561,plain,
% 0.91/1.12 (multiply(sk_c7, multiply(sk_c7, sk_c7)) = inverse(sk_c7)),
% 0.91/1.12 inference(transitivity,[status(thm)],[560, 517, 515, 514, 504, 502, 480, 477, 476, 347])).
% 0.91/1.12 tff(562,plain,
% 0.91/1.12 ((multiply(sk_c7, multiply(sk_c7, sk_c7)) = sk_c6) <=> (inverse(sk_c7) = sk_c6)),
% 0.91/1.12 inference(monotonicity,[status(thm)],[561])).
% 0.91/1.12 tff(563,plain,
% 0.91/1.12 ((inverse(sk_c7) = sk_c6) <=> (multiply(sk_c7, multiply(sk_c7, sk_c7)) = sk_c6)),
% 0.91/1.12 inference(symmetry,[status(thm)],[562])).
% 0.91/1.12 tff(564,plain,
% 0.91/1.12 (multiply(identity, sk_c6) = multiply(multiply(sk_c5, sk_c7), sk_c6)),
% 0.91/1.12 inference(monotonicity,[status(thm)],[390])).
% 0.91/1.12 tff(565,plain,
% 0.91/1.12 (multiply(multiply(sk_c5, sk_c7), sk_c6) = multiply(identity, sk_c6)),
% 0.91/1.12 inference(symmetry,[status(thm)],[564])).
% 0.91/1.12 tff(566,plain,
% 0.91/1.12 (multiply(sk_c5, multiply(sk_c7, sk_c6)) = multiply(sk_c5, sk_c5)),
% 0.91/1.12 inference(monotonicity,[status(thm)],[476])).
% 0.91/1.12 tff(567,plain,
% 0.91/1.12 (multiply(sk_c5, sk_c5) = multiply(sk_c5, multiply(sk_c7, sk_c6))),
% 0.91/1.12 inference(symmetry,[status(thm)],[566])).
% 0.91/1.12 tff(568,plain,
% 0.91/1.12 (multiply(sk_c5, sk_c5) = multiply(multiply(sk_c7, sk_c6), sk_c5)),
% 0.91/1.12 inference(monotonicity,[status(thm)],[505])).
% 0.91/1.12 tff(569,plain,
% 0.91/1.12 (multiply(multiply(sk_c7, sk_c6), sk_c5) = multiply(sk_c5, sk_c5)),
% 0.91/1.12 inference(symmetry,[status(thm)],[568])).
% 0.91/1.12 tff(570,plain,
% 0.91/1.12 (multiply(sk_c7, multiply(sk_c6, sk_c5)) = multiply(multiply(sk_c5, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.12 inference(monotonicity,[status(thm)],[142, 524])).
% 0.91/1.12 tff(571,plain,
% 0.91/1.12 (multiply(multiply(sk_c5, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(sk_c7, multiply(sk_c6, sk_c5))),
% 0.91/1.12 inference(symmetry,[status(thm)],[570])).
% 0.91/1.12 tff(572,plain,
% 0.91/1.12 (multiply(sk_c4, multiply(sk_c6, sk_c5)) = sk_c6),
% 0.91/1.12 inference(transitivity,[status(thm)],[533, 530, 567, 518, 565, 482])).
% 0.91/1.12 tff(573,plain,
% 0.91/1.12 (multiply(sk_c7, multiply(sk_c4, multiply(sk_c6, sk_c5))) = multiply(sk_c7, sk_c6)),
% 0.91/1.12 inference(monotonicity,[status(thm)],[572])).
% 0.91/1.12 tff(574,plain,
% 0.91/1.12 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c4, multiply(sk_c6, sk_c5)))),
% 0.91/1.12 inference(symmetry,[status(thm)],[573])).
% 0.91/1.12 tff(575,plain,
% 0.91/1.12 (sk_c5 = multiply(sk_c7, multiply(sk_c4, multiply(sk_c6, sk_c5)))),
% 0.91/1.12 inference(transitivity,[status(thm)],[505, 574])).
% 0.91/1.12 tff(576,plain,
% 0.91/1.12 (multiply(sk_c5, multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6)))) = multiply(multiply(sk_c7, multiply(sk_c4, multiply(sk_c6, sk_c5))), multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6))))),
% 0.91/1.12 inference(monotonicity,[status(thm)],[575])).
% 0.91/1.12 tff(577,plain,
% 0.91/1.12 (multiply(multiply(sk_c7, multiply(sk_c4, multiply(sk_c6, sk_c5))), multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6)))) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6))))),
% 0.91/1.12 inference(symmetry,[status(thm)],[576])).
% 0.91/1.12 tff(578,plain,
% 0.91/1.12 (multiply(sk_c5, multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6)))) = sk_c6),
% 0.91/1.12 inference(transitivity,[status(thm)],[529, 571, 522, 569, 567, 518, 565, 482])).
% 0.91/1.12 tff(579,plain,
% 0.91/1.12 (multiply(sk_c5, multiply(sk_c5, multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6))))) = multiply(sk_c5, sk_c6)),
% 0.91/1.12 inference(monotonicity,[status(thm)],[578])).
% 0.91/1.12 tff(580,plain,
% 0.91/1.12 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6)))) = sk_c7),
% 0.91/1.12 inference(transitivity,[status(thm)],[542, 545, 579, 12])).
% 0.91/1.12 tff(581,plain,
% 0.91/1.12 (multiply(sk_c7, multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6))))) = multiply(sk_c7, sk_c7)),
% 0.91/1.12 inference(monotonicity,[status(thm)],[580])).
% 0.91/1.12 tff(582,plain,
% 0.91/1.12 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6)))))),
% 0.91/1.12 inference(symmetry,[status(thm)],[581])).
% 0.91/1.12 tff(583,plain,
% 0.91/1.12 (multiply(sk_c5, sk_c5) = sk_c6),
% 0.91/1.12 inference(transitivity,[status(thm)],[567, 518, 565, 482])).
% 0.91/1.12 tff(584,plain,
% 0.91/1.12 (multiply(multiply(sk_c5, sk_c5), sk_c5) = multiply(sk_c6, sk_c5)),
% 0.91/1.12 inference(monotonicity,[status(thm)],[583])).
% 0.91/1.12 tff(585,plain,
% 0.91/1.12 (sk_c6 = multiply(sk_c5, sk_c5)),
% 0.91/1.12 inference(transitivity,[status(thm)],[483, 564, 509, 566])).
% 0.91/1.12 tff(586,plain,
% 0.91/1.12 (multiply(sk_c5, sk_c6) = multiply(sk_c5, multiply(sk_c5, sk_c5))),
% 0.91/1.12 inference(monotonicity,[status(thm)],[585])).
% 0.91/1.12 tff(587,plain,
% 0.91/1.12 (sk_c7 = multiply(sk_c6, multiply(sk_c4, sk_c6))),
% 0.91/1.12 inference(transitivity,[status(thm)],[142, 586, 557, 584, 524])).
% 0.91/1.12 tff(588,plain,
% 0.91/1.12 (multiply(sk_c7, sk_c7) = multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.12 inference(monotonicity,[status(thm)],[587, 587])).
% 0.91/1.12 tff(589,plain,
% 0.91/1.12 (multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(sk_c7, sk_c7)),
% 0.91/1.12 inference(symmetry,[status(thm)],[588])).
% 0.91/1.12 tff(590,plain,
% 0.91/1.12 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.12 inference(quant_inst,[status(thm)],[])).
% 0.91/1.12 tff(591,plain,
% 0.91/1.12 (multiply(identity, multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(sk_c6, multiply(sk_c4, sk_c6))),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[590, 46])).
% 0.91/1.12 tff(592,plain,
% 0.91/1.12 (multiply(sk_c6, sk_c6) = identity),
% 0.91/1.12 inference(transitivity,[status(thm)],[484, 487, 489, 492, 499, 188])).
% 0.91/1.12 tff(593,plain,
% 0.91/1.12 (multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(identity, multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.12 inference(monotonicity,[status(thm)],[592])).
% 0.91/1.12 tff(594,assumption,(~(multiply(sk_c3, sk_c7) = sk_c6)), introduced(assumption)).
% 0.91/1.12 tff(595,plain,
% 0.91/1.12 (((inverse(sk_c1) = sk_c7) | (multiply(sk_c3, sk_c7) = sk_c6)) <=> ((inverse(sk_c1) = sk_c7) | (multiply(sk_c3, sk_c7) = sk_c6))),
% 0.91/1.12 inference(rewrite,[status(thm)],[])).
% 0.91/1.12 tff(596,axiom,((inverse(sk_c1) = sk_c7) | (multiply(sk_c3, sk_c7) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_18')).
% 0.91/1.12 tff(597,plain,
% 0.91/1.12 ((inverse(sk_c1) = sk_c7) | (multiply(sk_c3, sk_c7) = sk_c6)),
% 0.91/1.12 inference(modus_ponens,[status(thm)],[596, 595])).
% 0.91/1.12 tff(598,plain,
% 0.91/1.12 (inverse(sk_c1) = sk_c7),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[597, 594])).
% 0.91/1.12 tff(599,plain,
% 0.91/1.12 (sk_c7 = inverse(sk_c1)),
% 0.91/1.12 inference(symmetry,[status(thm)],[598])).
% 0.91/1.12 tff(600,plain,
% 0.91/1.12 (multiply(sk_c5, multiply(sk_c5, sk_c5)) = multiply(sk_c5, sk_c6)),
% 0.91/1.12 inference(symmetry,[status(thm)],[586])).
% 0.91/1.12 tff(601,plain,
% 0.91/1.12 (multiply(sk_c6, sk_c5) = multiply(multiply(sk_c5, sk_c5), sk_c5)),
% 0.91/1.12 inference(symmetry,[status(thm)],[584])).
% 0.91/1.12 tff(602,plain,
% 0.91/1.12 (multiply(sk_c6, multiply(sk_c4, sk_c6)) = inverse(sk_c1)),
% 0.91/1.12 inference(transitivity,[status(thm)],[525, 601, 556, 600, 12, 599])).
% 0.91/1.12 tff(603,plain,
% 0.91/1.12 (multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 0.91/1.12 inference(monotonicity,[status(thm)],[602])).
% 0.91/1.12 tff(604,plain,
% 0.91/1.12 (multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c1) = multiply(sk_c6, sk_c6)),
% 0.91/1.12 inference(transitivity,[status(thm)],[603, 358, 189, 500, 493, 490, 488, 485])).
% 0.91/1.12 tff(605,plain,
% 0.91/1.12 (multiply(multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c1), multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.12 inference(monotonicity,[status(thm)],[604])).
% 0.91/1.12 tff(606,plain,
% 0.91/1.12 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c1), multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), multiply(sk_c1, multiply(sk_c6, multiply(sk_c4, sk_c6)))))),
% 0.91/1.12 inference(quant_inst,[status(thm)],[])).
% 0.91/1.12 tff(607,plain,
% 0.91/1.12 (multiply(multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c1), multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), multiply(sk_c1, multiply(sk_c6, multiply(sk_c4, sk_c6))))),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[606, 19])).
% 0.91/1.12 tff(608,plain,
% 0.91/1.12 (multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), multiply(sk_c1, multiply(sk_c6, multiply(sk_c4, sk_c6)))) = multiply(multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c1), multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.12 inference(symmetry,[status(thm)],[607])).
% 0.91/1.12 tff(609,plain,
% 0.91/1.12 (multiply(sk_c6, multiply(sk_c4, sk_c6)) = sk_c7),
% 0.91/1.12 inference(transitivity,[status(thm)],[525, 601, 556, 600, 12])).
% 0.91/1.12 tff(610,plain,
% 0.91/1.12 (multiply(sk_c1, multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(sk_c1, sk_c7)),
% 0.91/1.12 inference(monotonicity,[status(thm)],[609])).
% 0.91/1.12 tff(611,plain,
% 0.91/1.12 (multiply(sk_c1, sk_c7) = multiply(sk_c1, multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.12 inference(symmetry,[status(thm)],[610])).
% 0.91/1.12 tff(612,plain,
% 0.91/1.12 (((multiply(sk_c1, sk_c7) = sk_c2) | (multiply(sk_c3, sk_c7) = sk_c6)) <=> ((multiply(sk_c1, sk_c7) = sk_c2) | (multiply(sk_c3, sk_c7) = sk_c6))),
% 0.91/1.12 inference(rewrite,[status(thm)],[])).
% 0.91/1.12 tff(613,axiom,((multiply(sk_c1, sk_c7) = sk_c2) | (multiply(sk_c3, sk_c7) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_14')).
% 0.91/1.12 tff(614,plain,
% 0.91/1.12 ((multiply(sk_c1, sk_c7) = sk_c2) | (multiply(sk_c3, sk_c7) = sk_c6)),
% 0.91/1.12 inference(modus_ponens,[status(thm)],[613, 612])).
% 0.91/1.12 tff(615,plain,
% 0.91/1.12 (multiply(sk_c1, sk_c7) = sk_c2),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[614, 594])).
% 0.91/1.12 tff(616,plain,
% 0.91/1.12 (sk_c2 = multiply(sk_c1, sk_c7)),
% 0.91/1.12 inference(symmetry,[status(thm)],[615])).
% 0.91/1.12 tff(617,plain,
% 0.91/1.12 (multiply(sk_c5, multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(inverse(sk_c7), sk_c7)),
% 0.91/1.12 inference(monotonicity,[status(thm)],[347, 609])).
% 0.91/1.12 tff(618,plain,
% 0.91/1.12 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.12 inference(symmetry,[status(thm)],[617])).
% 0.91/1.12 tff(619,plain,
% 0.91/1.12 (identity = multiply(sk_c5, multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.12 inference(transitivity,[status(thm)],[189, 618])).
% 0.91/1.12 tff(620,plain,
% 0.91/1.12 (multiply(identity, sk_c2) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(sk_c4, sk_c6))), sk_c2)),
% 0.91/1.12 inference(monotonicity,[status(thm)],[619])).
% 0.91/1.12 tff(621,plain,
% 0.91/1.12 (multiply(multiply(sk_c5, multiply(sk_c6, multiply(sk_c4, sk_c6))), sk_c2) = multiply(identity, sk_c2)),
% 0.91/1.12 inference(symmetry,[status(thm)],[620])).
% 0.91/1.12 tff(622,plain,
% 0.91/1.12 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, multiply(sk_c6, multiply(sk_c4, sk_c6))), sk_c2) = multiply(sk_c5, multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c2)))),
% 0.91/1.12 inference(quant_inst,[status(thm)],[])).
% 0.91/1.12 tff(623,plain,
% 0.91/1.12 (multiply(multiply(sk_c5, multiply(sk_c6, multiply(sk_c4, sk_c6))), sk_c2) = multiply(sk_c5, multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c2))),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[622, 19])).
% 0.91/1.12 tff(624,plain,
% 0.91/1.12 (multiply(sk_c5, multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c2)) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(sk_c4, sk_c6))), sk_c2)),
% 0.91/1.12 inference(symmetry,[status(thm)],[623])).
% 0.91/1.12 tff(625,plain,
% 0.91/1.12 (multiply(sk_c7, sk_c6) = multiply(multiply(sk_c5, sk_c6), sk_c6)),
% 0.91/1.12 inference(monotonicity,[status(thm)],[142])).
% 0.91/1.12 tff(626,plain,
% 0.91/1.12 (multiply(multiply(sk_c5, sk_c6), sk_c6) = multiply(sk_c7, sk_c6)),
% 0.91/1.12 inference(symmetry,[status(thm)],[625])).
% 0.91/1.12 tff(627,plain,
% 0.91/1.12 (multiply(sk_c6, sk_c6) = multiply(sk_c5, sk_c7)),
% 0.91/1.12 inference(transitivity,[status(thm)],[484, 487, 489, 492, 499, 389])).
% 0.91/1.12 tff(628,plain,
% 0.91/1.12 (multiply(sk_c5, multiply(sk_c6, sk_c6)) = multiply(sk_c5, multiply(sk_c5, sk_c7))),
% 0.91/1.12 inference(monotonicity,[status(thm)],[627])).
% 0.91/1.12 tff(629,plain,
% 0.91/1.12 (multiply(sk_c5, multiply(sk_c5, sk_c7)) = multiply(sk_c5, multiply(sk_c6, sk_c6))),
% 0.91/1.12 inference(symmetry,[status(thm)],[628])).
% 0.91/1.12 tff(630,plain,
% 0.91/1.12 (multiply(multiply(sk_c5, sk_c5), sk_c7) = multiply(sk_c6, sk_c7)),
% 0.91/1.12 inference(monotonicity,[status(thm)],[553])).
% 0.91/1.12 tff(631,plain,
% 0.91/1.12 (multiply(sk_c6, sk_c7) = multiply(multiply(sk_c5, sk_c5), sk_c7)),
% 0.91/1.12 inference(symmetry,[status(thm)],[630])).
% 0.91/1.12 tff(632,plain,
% 0.91/1.12 (multiply(sk_c6, multiply(sk_c4, sk_c6)) = multiply(sk_c6, sk_c5)),
% 0.91/1.12 inference(monotonicity,[status(thm)],[437])).
% 0.91/1.12 tff(633,plain,
% 0.91/1.12 (multiply(multiply(sk_c5, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(sk_c7, multiply(sk_c6, sk_c5))),
% 0.91/1.12 inference(monotonicity,[status(thm)],[12, 632])).
% 0.91/1.12 tff(634,plain,
% 0.91/1.12 (multiply(sk_c5, multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6)))) = sk_c6),
% 0.91/1.12 inference(transitivity,[status(thm)],[529, 633, 522, 519, 506, 518, 511, 482])).
% 0.91/1.12 tff(635,plain,
% 0.91/1.12 (multiply(sk_c5, multiply(sk_c5, multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6))))) = multiply(sk_c5, sk_c6)),
% 0.91/1.13 inference(monotonicity,[status(thm)],[634])).
% 0.91/1.13 tff(636,plain,
% 0.91/1.13 (multiply(sk_c5, sk_c6) = multiply(sk_c5, multiply(sk_c5, multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6)))))),
% 0.91/1.13 inference(symmetry,[status(thm)],[635])).
% 0.91/1.13 tff(637,plain,
% 0.91/1.13 (sk_c7 = multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6))))),
% 0.91/1.13 inference(transitivity,[status(thm)],[142, 636, 546, 543])).
% 0.91/1.13 tff(638,plain,
% 0.91/1.13 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), multiply(sk_c6, multiply(sk_c6, multiply(sk_c4, sk_c6)))))),
% 0.91/1.13 inference(monotonicity,[status(thm)],[637])).
% 0.91/1.13 tff(639,plain,
% 0.91/1.13 (multiply(sk_c7, sk_c7) = sk_c6),
% 0.91/1.13 inference(transitivity,[status(thm)],[638, 540, 537, 529, 633, 522, 519, 506, 518, 511, 482])).
% 0.91/1.13 tff(640,plain,
% 0.91/1.13 (multiply(sk_c6, sk_c5) = multiply(multiply(sk_c5, sk_c5), sk_c5)),
% 0.91/1.13 inference(monotonicity,[status(thm)],[513])).
% 0.91/1.13 tff(641,plain,
% 0.91/1.13 (multiply(multiply(sk_c5, sk_c5), sk_c5) = multiply(sk_c6, sk_c5)),
% 0.91/1.13 inference(symmetry,[status(thm)],[640])).
% 0.91/1.13 tff(642,plain,
% 0.91/1.13 (multiply(sk_c5, multiply(sk_c5, sk_c5)) = multiply(sk_c5, sk_c6)),
% 0.91/1.13 inference(monotonicity,[status(thm)],[553])).
% 0.91/1.13 tff(643,plain,
% 0.91/1.13 (multiply(sk_c5, sk_c6) = multiply(sk_c5, multiply(sk_c5, sk_c5))),
% 0.91/1.13 inference(symmetry,[status(thm)],[642])).
% 0.91/1.13 tff(644,plain,
% 0.91/1.13 (sk_c7 = multiply(sk_c6, sk_c5)),
% 0.91/1.13 inference(transitivity,[status(thm)],[142, 643, 557, 641])).
% 0.91/1.13 tff(645,plain,
% 0.91/1.13 (multiply(sk_c7, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c6, sk_c5), sk_c6)),
% 0.91/1.13 inference(monotonicity,[status(thm)],[644, 639])).
% 0.91/1.13 tff(646,plain,
% 0.91/1.13 (multiply(sk_c7, multiply(sk_c7, sk_c7)) = inverse(sk_c7)),
% 0.91/1.13 inference(transitivity,[status(thm)],[645, 517, 515, 631, 504, 629, 480, 626, 476, 347])).
% 0.91/1.13 tff(647,plain,
% 0.91/1.13 ((multiply(sk_c7, multiply(sk_c7, sk_c7)) = sk_c6) <=> (inverse(sk_c7) = sk_c6)),
% 0.91/1.13 inference(monotonicity,[status(thm)],[646])).
% 0.91/1.13 tff(648,plain,
% 0.91/1.13 ((inverse(sk_c7) = sk_c6) <=> (multiply(sk_c7, multiply(sk_c7, sk_c7)) = sk_c6)),
% 0.91/1.13 inference(symmetry,[status(thm)],[647])).
% 0.91/1.13 tff(649,assumption,(~(multiply(sk_c7, sk_c2) = sk_c6)), introduced(assumption)).
% 0.91/1.13 tff(650,plain,
% 0.91/1.13 (((multiply(sk_c3, sk_c7) = sk_c6) | (multiply(sk_c7, sk_c2) = sk_c6)) <=> ((multiply(sk_c3, sk_c7) = sk_c6) | (multiply(sk_c7, sk_c2) = sk_c6))),
% 0.91/1.13 inference(rewrite,[status(thm)],[])).
% 0.91/1.13 tff(651,plain,
% 0.91/1.13 (((multiply(sk_c7, sk_c2) = sk_c6) | (multiply(sk_c3, sk_c7) = sk_c6)) <=> ((multiply(sk_c3, sk_c7) = sk_c6) | (multiply(sk_c7, sk_c2) = sk_c6))),
% 0.91/1.13 inference(rewrite,[status(thm)],[])).
% 0.91/1.13 tff(652,axiom,((multiply(sk_c7, sk_c2) = sk_c6) | (multiply(sk_c3, sk_c7) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_10')).
% 0.91/1.13 tff(653,plain,
% 0.91/1.13 ((multiply(sk_c3, sk_c7) = sk_c6) | (multiply(sk_c7, sk_c2) = sk_c6)),
% 0.91/1.13 inference(modus_ponens,[status(thm)],[652, 651])).
% 0.91/1.13 tff(654,plain,
% 0.91/1.13 ((multiply(sk_c3, sk_c7) = sk_c6) | (multiply(sk_c7, sk_c2) = sk_c6)),
% 0.91/1.13 inference(modus_ponens,[status(thm)],[653, 650])).
% 0.91/1.13 tff(655,plain,
% 0.91/1.13 (multiply(sk_c3, sk_c7) = sk_c6),
% 0.91/1.13 inference(unit_resolution,[status(thm)],[654, 649])).
% 0.91/1.13 tff(656,plain,
% 0.91/1.13 (multiply(sk_c6, sk_c5) = multiply(sk_c6, multiply(sk_c4, sk_c6))),
% 0.91/1.13 inference(symmetry,[status(thm)],[632])).
% 0.91/1.13 tff(657,plain,
% 0.91/1.13 (sk_c7 = multiply(sk_c6, multiply(sk_c4, sk_c6))),
% 0.91/1.13 inference(transitivity,[status(thm)],[142, 643, 557, 641, 656])).
% 0.91/1.13 tff(658,plain,
% 0.91/1.13 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c6), sk_c6) = multiply(sk_c4, multiply(sk_c6, sk_c6)))),
% 0.91/1.13 inference(quant_inst,[status(thm)],[])).
% 0.91/1.13 tff(659,plain,
% 0.91/1.13 (multiply(multiply(sk_c4, sk_c6), sk_c6) = multiply(sk_c4, multiply(sk_c6, sk_c6))),
% 0.91/1.13 inference(unit_resolution,[status(thm)],[658, 19])).
% 0.91/1.13 tff(660,plain,
% 0.91/1.13 (multiply(sk_c5, sk_c6) = multiply(multiply(sk_c4, sk_c6), sk_c6)),
% 0.91/1.13 inference(monotonicity,[status(thm)],[523])).
% 0.91/1.13 tff(661,plain,
% 0.91/1.13 (sk_c7 = multiply(sk_c4, multiply(sk_c6, sk_c6))),
% 0.91/1.13 inference(transitivity,[status(thm)],[142, 660, 659])).
% 0.91/1.13 tff(662,plain,
% 0.91/1.13 (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c4, multiply(sk_c6, sk_c6)))),
% 0.91/1.13 inference(monotonicity,[status(thm)],[661])).
% 0.91/1.13 tff(663,plain,
% 0.91/1.13 (multiply(sk_c6, multiply(sk_c4, multiply(sk_c6, sk_c6))) = multiply(sk_c6, sk_c7)),
% 0.91/1.13 inference(symmetry,[status(thm)],[662])).
% 0.91/1.13 tff(664,plain,
% 0.91/1.13 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, sk_c6)) = multiply(sk_c6, multiply(sk_c4, multiply(sk_c6, sk_c6))))),
% 0.91/1.13 inference(quant_inst,[status(thm)],[])).
% 0.91/1.13 tff(665,plain,
% 0.91/1.13 (multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, sk_c6)) = multiply(sk_c6, multiply(sk_c4, multiply(sk_c6, sk_c6)))),
% 0.91/1.13 inference(unit_resolution,[status(thm)],[664, 19])).
% 0.91/1.13 tff(666,assumption,(~(inverse(sk_c3) = sk_c7)), introduced(assumption)).
% 0.91/1.13 tff(667,plain,
% 0.91/1.13 (((inverse(sk_c3) = sk_c7) | (multiply(sk_c7, sk_c2) = sk_c6)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c7, sk_c2) = sk_c6))),
% 0.91/1.13 inference(rewrite,[status(thm)],[])).
% 0.91/1.13 tff(668,plain,
% 0.91/1.13 (((multiply(sk_c7, sk_c2) = sk_c6) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c7, sk_c2) = sk_c6))),
% 0.91/1.13 inference(rewrite,[status(thm)],[])).
% 0.91/1.13 tff(669,axiom,((multiply(sk_c7, sk_c2) = sk_c6) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_11')).
% 0.91/1.13 tff(670,plain,
% 0.91/1.13 ((inverse(sk_c3) = sk_c7) | (multiply(sk_c7, sk_c2) = sk_c6)),
% 0.91/1.13 inference(modus_ponens,[status(thm)],[669, 668])).
% 0.91/1.13 tff(671,plain,
% 0.91/1.13 ((inverse(sk_c3) = sk_c7) | (multiply(sk_c7, sk_c2) = sk_c6)),
% 0.91/1.13 inference(modus_ponens,[status(thm)],[670, 667])).
% 0.91/1.13 tff(672,plain,
% 0.91/1.13 (multiply(sk_c7, sk_c2) = sk_c6),
% 0.91/1.13 inference(unit_resolution,[status(thm)],[671, 666])).
% 0.91/1.13 tff(673,plain,
% 0.91/1.13 (multiply(sk_c5, multiply(sk_c5, sk_c5)) = multiply(sk_c5, sk_c6)),
% 0.91/1.13 inference(symmetry,[status(thm)],[558])).
% 0.91/1.13 tff(674,plain,
% 0.91/1.13 (multiply(sk_c6, sk_c5) = multiply(multiply(sk_c5, sk_c5), sk_c5)),
% 0.91/1.13 inference(symmetry,[status(thm)],[554])).
% 0.91/1.13 tff(675,plain,
% 0.91/1.13 (multiply(sk_c6, multiply(sk_c4, sk_c6)) = sk_c7),
% 0.91/1.13 inference(transitivity,[status(thm)],[525, 674, 556, 673, 12])).
% 0.91/1.13 tff(676,plain,
% 0.91/1.13 (multiply(sk_c1, multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(sk_c1, sk_c7)),
% 0.91/1.13 inference(monotonicity,[status(thm)],[675])).
% 0.91/1.13 tff(677,plain,
% 0.91/1.13 (multiply(sk_c1, sk_c7) = multiply(sk_c1, multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.13 inference(symmetry,[status(thm)],[676])).
% 0.91/1.13 tff(678,plain,
% 0.91/1.13 (((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c2)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c2))),
% 0.91/1.13 inference(rewrite,[status(thm)],[])).
% 0.91/1.13 tff(679,plain,
% 0.91/1.13 (((multiply(sk_c1, sk_c7) = sk_c2) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c2))),
% 0.91/1.13 inference(rewrite,[status(thm)],[])).
% 0.91/1.13 tff(680,axiom,((multiply(sk_c1, sk_c7) = sk_c2) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_15')).
% 0.91/1.13 tff(681,plain,
% 0.91/1.13 ((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c2)),
% 0.91/1.13 inference(modus_ponens,[status(thm)],[680, 679])).
% 0.91/1.13 tff(682,plain,
% 0.91/1.13 ((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c2)),
% 0.91/1.13 inference(modus_ponens,[status(thm)],[681, 678])).
% 0.91/1.13 tff(683,plain,
% 0.91/1.13 (multiply(sk_c1, sk_c7) = sk_c2),
% 0.91/1.13 inference(unit_resolution,[status(thm)],[682, 666])).
% 0.91/1.13 tff(684,plain,
% 0.91/1.13 (sk_c2 = multiply(sk_c1, sk_c7)),
% 0.91/1.13 inference(symmetry,[status(thm)],[683])).
% 0.91/1.13 tff(685,plain,
% 0.91/1.13 (sk_c2 = multiply(sk_c1, multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.13 inference(transitivity,[status(thm)],[684, 677])).
% 0.91/1.13 tff(686,plain,
% 0.91/1.13 (sk_c7 = multiply(sk_c6, multiply(sk_c4, sk_c6))),
% 0.91/1.13 inference(transitivity,[status(thm)],[142, 558, 557, 554, 524])).
% 0.91/1.13 tff(687,plain,
% 0.91/1.13 (multiply(sk_c7, sk_c2) = multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), multiply(sk_c1, multiply(sk_c6, multiply(sk_c4, sk_c6))))),
% 0.91/1.13 inference(monotonicity,[status(thm)],[686, 685])).
% 0.91/1.13 tff(688,plain,
% 0.91/1.13 (multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), multiply(sk_c1, multiply(sk_c6, multiply(sk_c4, sk_c6)))) = multiply(sk_c7, sk_c2)),
% 0.91/1.13 inference(symmetry,[status(thm)],[687])).
% 0.91/1.13 tff(689,plain,
% 0.91/1.13 (((inverse(sk_c1) = sk_c7) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c1) = sk_c7) | (inverse(sk_c3) = sk_c7))),
% 0.91/1.13 inference(rewrite,[status(thm)],[])).
% 0.91/1.13 tff(690,axiom,((inverse(sk_c1) = sk_c7) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_19')).
% 0.91/1.13 tff(691,plain,
% 0.91/1.13 ((inverse(sk_c1) = sk_c7) | (inverse(sk_c3) = sk_c7)),
% 0.91/1.13 inference(modus_ponens,[status(thm)],[690, 689])).
% 0.91/1.13 tff(692,plain,
% 0.91/1.13 (inverse(sk_c1) = sk_c7),
% 0.91/1.13 inference(unit_resolution,[status(thm)],[691, 666])).
% 0.91/1.13 tff(693,plain,
% 0.91/1.13 (sk_c7 = inverse(sk_c1)),
% 0.91/1.13 inference(symmetry,[status(thm)],[692])).
% 0.91/1.13 tff(694,plain,
% 0.91/1.13 (multiply(sk_c6, multiply(sk_c4, sk_c6)) = inverse(sk_c1)),
% 0.91/1.13 inference(transitivity,[status(thm)],[525, 674, 556, 673, 12, 693])).
% 0.91/1.13 tff(695,plain,
% 0.91/1.13 (multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 0.91/1.13 inference(monotonicity,[status(thm)],[694])).
% 0.91/1.13 tff(696,plain,
% 0.91/1.13 (multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c1) = multiply(sk_c6, sk_c6)),
% 0.91/1.13 inference(transitivity,[status(thm)],[695, 358, 189, 500, 493, 490, 488, 485])).
% 0.91/1.13 tff(697,plain,
% 0.91/1.13 (multiply(multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c1), multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.13 inference(monotonicity,[status(thm)],[696])).
% 0.91/1.13 tff(698,plain,
% 0.91/1.13 (multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c1), multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.13 inference(symmetry,[status(thm)],[697])).
% 0.91/1.13 tff(699,plain,
% 0.91/1.13 (multiply(identity, multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.13 inference(symmetry,[status(thm)],[593])).
% 0.91/1.13 tff(700,plain,
% 0.91/1.13 (multiply(sk_c6, multiply(sk_c4, sk_c6)) = multiply(identity, multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.13 inference(symmetry,[status(thm)],[591])).
% 0.91/1.13 tff(701,plain,
% 0.91/1.13 (sk_c7 = sk_c6),
% 0.91/1.13 inference(transitivity,[status(thm)],[142, 558, 557, 554, 524, 700, 699, 698, 607, 688, 672])).
% 0.91/1.13 tff(702,plain,
% 0.91/1.13 ((inverse(sk_c7) = sk_c7) <=> (inverse(sk_c7) = sk_c6)),
% 0.91/1.13 inference(monotonicity,[status(thm)],[701])).
% 0.91/1.13 tff(703,plain,
% 0.91/1.13 ((inverse(sk_c7) = sk_c7) <=> (multiply(sk_c7, multiply(sk_c7, sk_c7)) = sk_c6)),
% 0.91/1.13 inference(transitivity,[status(thm)],[702, 563])).
% 0.91/1.13 tff(704,plain,
% 0.91/1.13 (sk_c6 = multiply(sk_c7, sk_c2)),
% 0.91/1.13 inference(symmetry,[status(thm)],[672])).
% 0.91/1.13 tff(705,plain,
% 0.91/1.13 (sk_c6 = multiply(sk_c6, sk_c5)),
% 0.91/1.13 inference(transitivity,[status(thm)],[704, 687, 608, 697, 593, 591, 525])).
% 0.91/1.13 tff(706,plain,
% 0.91/1.13 (multiply(sk_c4, sk_c6) = multiply(sk_c4, multiply(sk_c6, sk_c5))),
% 0.91/1.13 inference(monotonicity,[status(thm)],[705])).
% 0.91/1.13 tff(707,plain,
% 0.91/1.13 (inverse(sk_c7) = sk_c7),
% 0.91/1.13 inference(transitivity,[status(thm)],[346, 523, 706, 533, 530, 506, 518, 511, 482, 704, 687, 608, 697, 593, 591, 525, 674, 556, 673, 12])).
% 0.91/1.13 tff(708,plain,
% 0.91/1.13 (multiply(sk_c7, multiply(sk_c7, sk_c7)) = sk_c6),
% 0.91/1.13 inference(modus_ponens,[status(thm)],[707, 703])).
% 0.91/1.13 tff(709,plain,
% 0.91/1.13 (inverse(sk_c7) = sk_c6),
% 0.91/1.13 inference(modus_ponens,[status(thm)],[707, 702])).
% 0.91/1.13 tff(710,plain,
% 0.91/1.13 (((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c7, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c7, sk_c7)) = sk_c6)))),
% 0.91/1.13 inference(rewrite,[status(thm)],[])).
% 0.91/1.13 tff(711,plain,
% 0.91/1.13 (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c7, sk_c7)) = sk_c6)) | (~(inverse(sk_c7) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c7, sk_c7)) = sk_c6)))),
% 0.91/1.13 inference(rewrite,[status(thm)],[])).
% 0.91/1.13 tff(712,plain,
% 0.91/1.13 (((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c7, sk_c7)) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)))) <=> ((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c7, sk_c7)) = sk_c6))))),
% 0.91/1.13 inference(monotonicity,[status(thm)],[711])).
% 0.91/1.13 tff(713,plain,
% 0.91/1.13 (((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c7, sk_c7)) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)))) <=> ((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c7, sk_c7)) = sk_c6)))),
% 0.91/1.13 inference(transitivity,[status(thm)],[712, 710])).
% 0.91/1.13 tff(714,plain,
% 0.91/1.13 ((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c7, sk_c7)) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)))),
% 0.91/1.13 inference(quant_inst,[status(thm)],[])).
% 0.91/1.13 tff(715,plain,
% 0.91/1.13 ((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c7, sk_c7)) = sk_c6))),
% 0.91/1.13 inference(modus_ponens,[status(thm)],[714, 713])).
% 0.91/1.13 tff(716,plain,
% 0.91/1.13 ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c7, sk_c7)) = sk_c6))),
% 0.91/1.13 inference(unit_resolution,[status(thm)],[715, 346, 12, 428])).
% 0.91/1.13 tff(717,plain,
% 0.91/1.13 ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c7, sk_c7)) = sk_c6))),
% 0.91/1.13 inference(unit_resolution,[status(thm)],[716, 476, 552])).
% 0.91/1.13 tff(718,plain,
% 0.91/1.13 ($false),
% 0.91/1.13 inference(unit_resolution,[status(thm)],[717, 709, 707, 708])).
% 0.91/1.13 tff(719,plain,(inverse(sk_c3) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 0.91/1.13 tff(720,plain,
% 0.91/1.13 (sk_c7 = inverse(sk_c3)),
% 0.91/1.13 inference(symmetry,[status(thm)],[719])).
% 0.91/1.13 tff(721,plain,
% 0.91/1.13 (multiply(sk_c6, multiply(sk_c4, sk_c6)) = inverse(sk_c3)),
% 0.91/1.13 inference(transitivity,[status(thm)],[632, 640, 556, 642, 12, 720])).
% 0.91/1.13 tff(722,plain,
% 0.91/1.13 (multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 0.91/1.13 inference(monotonicity,[status(thm)],[721])).
% 0.91/1.13 tff(723,plain,
% 0.91/1.13 (multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c3) = multiply(sk_c6, sk_c6)),
% 0.91/1.13 inference(transitivity,[status(thm)],[722, 57, 189, 500, 493, 490, 488, 485])).
% 0.91/1.13 tff(724,plain,
% 0.91/1.13 (multiply(multiply(sk_c6, sk_c4), multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c3)) = multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, sk_c6))),
% 0.91/1.13 inference(monotonicity,[status(thm)],[723])).
% 0.91/1.13 tff(725,plain,
% 0.91/1.13 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, multiply(sk_c4, sk_c6))), sk_c3) = multiply(multiply(sk_c6, sk_c4), multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c3)))),
% 0.91/1.13 inference(quant_inst,[status(thm)],[])).
% 0.91/1.13 tff(726,plain,
% 0.91/1.13 (multiply(multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, multiply(sk_c4, sk_c6))), sk_c3) = multiply(multiply(sk_c6, sk_c4), multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c3))),
% 0.91/1.13 inference(unit_resolution,[status(thm)],[725, 19])).
% 0.91/1.13 tff(727,plain,
% 0.91/1.13 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), sk_c4) = multiply(sk_c6, sk_c4)),
% 0.91/1.13 inference(monotonicity,[status(thm)],[534])).
% 0.91/1.13 tff(728,plain,
% 0.91/1.13 (multiply(sk_c6, sk_c4) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), sk_c4)),
% 0.91/1.13 inference(symmetry,[status(thm)],[727])).
% 0.91/1.13 tff(729,plain,
% 0.91/1.13 (multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), sk_c4), multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.13 inference(monotonicity,[status(thm)],[728])).
% 0.91/1.13 tff(730,plain,
% 0.91/1.13 (multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), sk_c4), multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.13 inference(symmetry,[status(thm)],[729])).
% 0.91/1.13 tff(731,plain,
% 0.91/1.13 (multiply(sk_c6, multiply(sk_c4, sk_c6)) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.13 inference(transitivity,[status(thm)],[700, 699])).
% 0.91/1.13 tff(732,plain,
% 0.91/1.13 (multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), sk_c4), multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), sk_c4), multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6))))),
% 0.91/1.13 inference(monotonicity,[status(thm)],[731])).
% 0.91/1.13 tff(733,plain,
% 0.91/1.13 (multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), sk_c4), multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6)))) = multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), sk_c4), multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.13 inference(symmetry,[status(thm)],[732])).
% 0.91/1.13 tff(734,plain,
% 0.91/1.13 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), sk_c4), multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6)))) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), multiply(sk_c4, multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6))))))),
% 0.91/1.13 inference(quant_inst,[status(thm)],[])).
% 0.91/1.13 tff(735,plain,
% 0.91/1.13 (multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), sk_c4), multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6)))) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), multiply(sk_c4, multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6)))))),
% 0.91/1.13 inference(unit_resolution,[status(thm)],[734, 19])).
% 0.91/1.13 tff(736,plain,
% 0.91/1.13 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), multiply(sk_c4, multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6))))) = multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), sk_c4), multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6))))),
% 0.91/1.13 inference(symmetry,[status(thm)],[735])).
% 0.91/1.13 tff(737,plain,
% 0.91/1.13 (multiply(multiply(sk_c4, sk_c6), sk_c6) = multiply(sk_c5, sk_c6)),
% 0.91/1.13 inference(symmetry,[status(thm)],[660])).
% 0.91/1.13 tff(738,plain,
% 0.91/1.13 (multiply(sk_c4, multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c4, sk_c6), sk_c6)),
% 0.91/1.13 inference(symmetry,[status(thm)],[659])).
% 0.91/1.13 tff(739,plain,
% 0.91/1.13 (multiply(sk_c4, multiply(sk_c6, sk_c6)) = sk_c7),
% 0.91/1.13 inference(transitivity,[status(thm)],[738, 737, 12])).
% 0.91/1.13 tff(740,plain,
% 0.91/1.13 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(sk_c7, multiply(sk_c6, sk_c5))),
% 0.91/1.13 inference(monotonicity,[status(thm)],[739, 632])).
% 0.91/1.13 tff(741,plain,
% 0.91/1.13 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(sk_c4, multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6)))))),
% 0.91/1.13 inference(quant_inst,[status(thm)],[])).
% 0.91/1.13 tff(742,plain,
% 0.91/1.13 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(sk_c4, multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6))))),
% 0.91/1.13 inference(unit_resolution,[status(thm)],[741, 19])).
% 0.91/1.13 tff(743,plain,
% 0.91/1.13 (multiply(sk_c4, multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6)))) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.13 inference(symmetry,[status(thm)],[742])).
% 0.91/1.13 tff(744,plain,
% 0.91/1.13 (multiply(sk_c4, multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6)))) = sk_c6),
% 0.91/1.13 inference(transitivity,[status(thm)],[743, 740, 522, 519, 506, 518, 511, 482])).
% 0.91/1.13 tff(745,plain,
% 0.91/1.13 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), multiply(sk_c4, multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6))))) = multiply(multiply(sk_c5, sk_c5), sk_c6)),
% 0.91/1.13 inference(monotonicity,[status(thm)],[541, 744])).
% 0.91/1.13 tff(746,plain,
% 0.91/1.13 (multiply(multiply(sk_c5, sk_c5), sk_c6) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), multiply(sk_c4, multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6)))))),
% 0.91/1.13 inference(symmetry,[status(thm)],[745])).
% 0.91/1.13 tff(747,plain,
% 0.91/1.13 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c5), sk_c6) = multiply(sk_c5, multiply(sk_c5, sk_c6)))),
% 0.91/1.13 inference(quant_inst,[status(thm)],[])).
% 0.91/1.13 tff(748,plain,
% 0.91/1.13 (multiply(multiply(sk_c5, sk_c5), sk_c6) = multiply(sk_c5, multiply(sk_c5, sk_c6))),
% 0.91/1.13 inference(unit_resolution,[status(thm)],[747, 19])).
% 0.91/1.13 tff(749,plain,
% 0.91/1.13 (multiply(sk_c5, multiply(sk_c5, sk_c6)) = multiply(multiply(sk_c5, sk_c5), sk_c6)),
% 0.91/1.13 inference(symmetry,[status(thm)],[748])).
% 0.91/1.13 tff(750,plain,
% 0.91/1.13 (multiply(sk_c5, multiply(sk_c5, sk_c6)) = multiply(inverse(sk_c7), sk_c7)),
% 0.91/1.13 inference(monotonicity,[status(thm)],[347, 12])).
% 0.91/1.13 tff(751,plain,
% 0.91/1.13 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c5, multiply(sk_c5, sk_c6))),
% 0.91/1.13 inference(symmetry,[status(thm)],[750])).
% 0.91/1.13 tff(752,plain,
% 0.91/1.13 (identity = multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.13 inference(transitivity,[status(thm)],[189, 751, 749, 746, 736, 733, 730])).
% 0.91/1.13 tff(753,plain,
% 0.91/1.13 (multiply(identity, sk_c3) = multiply(multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, multiply(sk_c4, sk_c6))), sk_c3)),
% 0.91/1.13 inference(monotonicity,[status(thm)],[752])).
% 0.91/1.13 tff(754,plain,
% 0.91/1.13 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c3) = sk_c3)),
% 0.91/1.13 inference(quant_inst,[status(thm)],[])).
% 0.91/1.13 tff(755,plain,
% 0.91/1.13 (multiply(identity, sk_c3) = sk_c3),
% 0.91/1.13 inference(unit_resolution,[status(thm)],[754, 46])).
% 0.91/1.13 tff(756,plain,
% 0.91/1.13 (sk_c3 = multiply(identity, sk_c3)),
% 0.91/1.13 inference(symmetry,[status(thm)],[755])).
% 0.91/1.13 tff(757,plain,
% 0.91/1.13 (sk_c3 = sk_c5),
% 0.91/1.13 inference(transitivity,[status(thm)],[756, 753, 726, 724, 665, 663, 631, 504, 629, 480, 626, 476])).
% 0.91/1.13 tff(758,plain,
% 0.91/1.13 (multiply(sk_c3, sk_c7) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.13 inference(monotonicity,[status(thm)],[757, 657])).
% 0.91/1.13 tff(759,plain,
% 0.91/1.13 (multiply(sk_c5, multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(sk_c3, sk_c7)),
% 0.91/1.13 inference(symmetry,[status(thm)],[758])).
% 0.91/1.13 tff(760,plain,
% 0.91/1.13 (multiply(sk_c6, multiply(sk_c4, sk_c6)) = sk_c7),
% 0.91/1.13 inference(transitivity,[status(thm)],[632, 640, 556, 642, 12])).
% 0.91/1.13 tff(761,plain,
% 0.91/1.13 (multiply(sk_c5, multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(inverse(sk_c7), sk_c7)),
% 0.91/1.13 inference(monotonicity,[status(thm)],[347, 760])).
% 0.91/1.13 tff(762,plain,
% 0.91/1.13 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.13 inference(symmetry,[status(thm)],[761])).
% 0.91/1.13 tff(763,plain,
% 0.91/1.13 (multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, sk_c6)) = multiply(identity, multiply(sk_c6, sk_c6))),
% 0.91/1.13 inference(monotonicity,[status(thm)],[592])).
% 0.91/1.13 tff(764,plain,
% 0.91/1.13 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(multiply(sk_c6, sk_c4)), multiply(sk_c6, sk_c4)) = identity)),
% 0.91/1.13 inference(quant_inst,[status(thm)],[])).
% 0.91/1.13 tff(765,plain,
% 0.91/1.13 (multiply(inverse(multiply(sk_c6, sk_c4)), multiply(sk_c6, sk_c4)) = identity),
% 0.91/1.13 inference(unit_resolution,[status(thm)],[764, 55])).
% 0.91/1.13 tff(766,plain,
% 0.91/1.13 (identity = multiply(sk_c6, sk_c6)),
% 0.91/1.13 inference(transitivity,[status(thm)],[189, 500, 493, 490, 488, 485])).
% 0.91/1.13 tff(767,plain,
% 0.91/1.13 (multiply(identity, sk_c4) = multiply(multiply(sk_c6, sk_c6), sk_c4)),
% 0.91/1.13 inference(monotonicity,[status(thm)],[766])).
% 0.91/1.13 tff(768,plain,
% 0.91/1.13 (multiply(multiply(sk_c6, sk_c6), sk_c4) = multiply(identity, sk_c4)),
% 0.91/1.13 inference(symmetry,[status(thm)],[767])).
% 0.91/1.13 tff(769,plain,
% 0.91/1.13 (multiply(sk_c6, sk_c6) = sk_c6),
% 0.91/1.13 inference(transitivity,[status(thm)],[484, 487, 489, 492, 499, 762, 759, 655])).
% 0.91/1.13 tff(770,plain,
% 0.91/1.13 (multiply(multiply(sk_c6, sk_c6), sk_c4) = multiply(sk_c6, sk_c4)),
% 0.91/1.13 inference(monotonicity,[status(thm)],[769])).
% 0.91/1.13 tff(771,plain,
% 0.91/1.13 (multiply(sk_c6, sk_c4) = multiply(multiply(sk_c6, sk_c6), sk_c4)),
% 0.91/1.13 inference(symmetry,[status(thm)],[770])).
% 0.91/1.13 tff(772,plain,
% 0.91/1.13 (multiply(sk_c6, sk_c4) = sk_c4),
% 0.91/1.13 inference(transitivity,[status(thm)],[771, 768, 77])).
% 0.91/1.14 tff(773,plain,
% 0.91/1.14 (inverse(multiply(sk_c6, sk_c4)) = inverse(sk_c4)),
% 0.91/1.14 inference(monotonicity,[status(thm)],[772])).
% 0.91/1.14 tff(774,plain,
% 0.91/1.14 (inverse(sk_c4) = inverse(multiply(sk_c6, sk_c4))),
% 0.91/1.14 inference(symmetry,[status(thm)],[773])).
% 0.91/1.14 tff(775,plain,
% 0.91/1.14 (((inverse(sk_c4) = sk_c6) | (multiply(sk_c7, sk_c2) = sk_c6)) <=> ((inverse(sk_c4) = sk_c6) | (multiply(sk_c7, sk_c2) = sk_c6))),
% 0.91/1.14 inference(rewrite,[status(thm)],[])).
% 0.91/1.14 tff(776,plain,
% 0.91/1.14 (((multiply(sk_c7, sk_c2) = sk_c6) | (inverse(sk_c4) = sk_c6)) <=> ((inverse(sk_c4) = sk_c6) | (multiply(sk_c7, sk_c2) = sk_c6))),
% 0.91/1.14 inference(rewrite,[status(thm)],[])).
% 0.91/1.14 tff(777,axiom,((multiply(sk_c7, sk_c2) = sk_c6) | (inverse(sk_c4) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_13')).
% 0.91/1.14 tff(778,plain,
% 0.91/1.14 ((inverse(sk_c4) = sk_c6) | (multiply(sk_c7, sk_c2) = sk_c6)),
% 0.91/1.14 inference(modus_ponens,[status(thm)],[777, 776])).
% 0.91/1.14 tff(779,plain,
% 0.91/1.14 ((inverse(sk_c4) = sk_c6) | (multiply(sk_c7, sk_c2) = sk_c6)),
% 0.91/1.14 inference(modus_ponens,[status(thm)],[778, 775])).
% 0.91/1.14 tff(780,plain,
% 0.91/1.14 (inverse(sk_c4) = sk_c6),
% 0.91/1.14 inference(unit_resolution,[status(thm)],[779, 649])).
% 0.91/1.14 tff(781,plain,
% 0.91/1.14 (sk_c6 = inverse(sk_c4)),
% 0.91/1.14 inference(symmetry,[status(thm)],[780])).
% 0.91/1.14 tff(782,plain,
% 0.91/1.14 (multiply(sk_c6, sk_c6) = inverse(multiply(sk_c6, sk_c4))),
% 0.91/1.14 inference(transitivity,[status(thm)],[484, 487, 489, 492, 499, 762, 759, 655, 781, 774])).
% 0.91/1.14 tff(783,plain,
% 0.91/1.14 (multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, sk_c4)) = multiply(inverse(multiply(sk_c6, sk_c4)), multiply(sk_c6, sk_c4))),
% 0.91/1.14 inference(monotonicity,[status(thm)],[782])).
% 0.91/1.14 tff(784,plain,
% 0.91/1.14 (multiply(identity, multiply(sk_c6, sk_c4)) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, sk_c4))),
% 0.91/1.14 inference(monotonicity,[status(thm)],[766])).
% 0.91/1.14 tff(785,plain,
% 0.91/1.14 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c6, sk_c4)) = multiply(sk_c6, sk_c4))),
% 0.91/1.14 inference(quant_inst,[status(thm)],[])).
% 0.91/1.14 tff(786,plain,
% 0.91/1.14 (multiply(identity, multiply(sk_c6, sk_c4)) = multiply(sk_c6, sk_c4)),
% 0.91/1.14 inference(unit_resolution,[status(thm)],[785, 46])).
% 0.91/1.14 tff(787,plain,
% 0.91/1.14 (multiply(sk_c6, sk_c4) = multiply(identity, multiply(sk_c6, sk_c4))),
% 0.91/1.14 inference(symmetry,[status(thm)],[786])).
% 0.91/1.14 tff(788,plain,
% 0.91/1.14 (multiply(sk_c6, sk_c4) = multiply(sk_c6, sk_c6)),
% 0.91/1.14 inference(transitivity,[status(thm)],[787, 784, 783, 765, 189, 500, 493, 490, 488, 485])).
% 0.91/1.14 tff(789,plain,
% 0.91/1.14 (multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, sk_c6))),
% 0.91/1.14 inference(monotonicity,[status(thm)],[788])).
% 0.91/1.14 tff(790,plain,
% 0.91/1.14 (multiply(sk_c6, multiply(sk_c4, multiply(sk_c6, sk_c6))) = multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, sk_c6))),
% 0.91/1.14 inference(symmetry,[status(thm)],[665])).
% 0.91/1.14 tff(791,plain,
% 0.91/1.14 (multiply(sk_c5, multiply(sk_c5, sk_c7)) = multiply(multiply(sk_c5, sk_c5), sk_c7)),
% 0.91/1.14 inference(symmetry,[status(thm)],[504])).
% 0.91/1.14 tff(792,plain,
% 0.91/1.14 (multiply(sk_c4, multiply(sk_c6, sk_c6)) = multiply(sk_c4, sk_c6)),
% 0.91/1.14 inference(monotonicity,[status(thm)],[769])).
% 0.91/1.14 tff(793,plain,
% 0.91/1.14 (inverse(sk_c3) = sk_c6),
% 0.91/1.14 inference(transitivity,[status(thm)],[719, 142, 660, 659, 792, 437, 505, 625, 479, 628, 791, 630, 662, 790, 789, 763, 489, 492, 499, 762, 759, 655])).
% 0.91/1.14 tff(794,assumption,(multiply(sk_c3, sk_c7) = sk_c6), introduced(assumption)).
% 0.91/1.14 tff(795,plain,
% 0.91/1.14 (multiply(sk_c6, sk_c6) = sk_c6),
% 0.91/1.14 inference(transitivity,[status(thm)],[484, 487, 489, 492, 499, 762, 759, 794])).
% 0.91/1.14 tff(796,plain,
% 0.91/1.14 (multiply(sk_c4, multiply(sk_c6, sk_c6)) = multiply(sk_c4, sk_c6)),
% 0.91/1.14 inference(monotonicity,[status(thm)],[795])).
% 0.91/1.14 tff(797,plain,
% 0.91/1.14 (inverse(sk_c3) = inverse(sk_c7)),
% 0.91/1.14 inference(transitivity,[status(thm)],[719, 142, 660, 659, 796, 437, 347])).
% 0.91/1.14 tff(798,plain,
% 0.91/1.14 ((inverse(sk_c3) = sk_c6) <=> (inverse(sk_c7) = sk_c6)),
% 0.91/1.14 inference(monotonicity,[status(thm)],[797])).
% 0.91/1.14 tff(799,plain,
% 0.91/1.14 ((inverse(sk_c7) = sk_c6) <=> (inverse(sk_c3) = sk_c6)),
% 0.91/1.14 inference(symmetry,[status(thm)],[798])).
% 0.91/1.14 tff(800,plain,
% 0.91/1.14 ((~(inverse(sk_c7) = sk_c6)) <=> (~(inverse(sk_c3) = sk_c6))),
% 0.91/1.14 inference(monotonicity,[status(thm)],[799])).
% 0.91/1.14 tff(801,assumption,(~(inverse(sk_c7) = sk_c6)), introduced(assumption)).
% 0.91/1.14 tff(802,plain,
% 0.91/1.14 (~(inverse(sk_c3) = sk_c6)),
% 0.91/1.14 inference(modus_ponens,[status(thm)],[801, 800])).
% 0.91/1.14 tff(803,assumption,(inverse(sk_c3) = sk_c6), introduced(assumption)).
% 0.91/1.14 tff(804,plain,
% 0.91/1.14 ($false),
% 0.91/1.14 inference(unit_resolution,[status(thm)],[803, 802])).
% 0.91/1.14 tff(805,plain,((inverse(sk_c7) = sk_c6) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c7) = sk_c6))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.14 tff(806,plain,
% 0.91/1.14 (inverse(sk_c7) = sk_c6),
% 0.91/1.14 inference(unit_resolution,[status(thm)],[805, 793, 655])).
% 0.91/1.14 tff(807,plain,
% 0.91/1.14 (multiply(sk_c7, multiply(sk_c7, sk_c7)) = sk_c6),
% 0.91/1.14 inference(modus_ponens,[status(thm)],[806, 648])).
% 0.91/1.14 tff(808,plain,
% 0.91/1.14 (multiply(sk_c4, sk_c6) = multiply(sk_c4, multiply(sk_c6, sk_c6))),
% 0.91/1.14 inference(symmetry,[status(thm)],[792])).
% 0.91/1.14 tff(809,plain,
% 0.91/1.14 (inverse(sk_c7) = sk_c7),
% 0.91/1.14 inference(transitivity,[status(thm)],[346, 523, 808, 738, 737, 12])).
% 0.91/1.14 tff(810,plain,
% 0.91/1.14 ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c7, sk_c7)) = sk_c6))),
% 0.91/1.14 inference(unit_resolution,[status(thm)],[716, 476, 639])).
% 0.91/1.14 tff(811,plain,
% 0.91/1.14 (~(multiply(sk_c7, multiply(sk_c7, sk_c7)) = sk_c6)),
% 0.91/1.14 inference(unit_resolution,[status(thm)],[810, 806, 809])).
% 0.91/1.14 tff(812,plain,
% 0.91/1.14 ($false),
% 0.91/1.14 inference(unit_resolution,[status(thm)],[811, 807])).
% 0.91/1.14 tff(813,plain,(multiply(sk_c7, sk_c2) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 0.91/1.14 tff(814,plain,
% 0.91/1.14 (multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c2) = multiply(sk_c7, sk_c2)),
% 0.91/1.14 inference(monotonicity,[status(thm)],[609])).
% 0.91/1.14 tff(815,plain,
% 0.91/1.14 (multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c2) = sk_c6),
% 0.91/1.14 inference(transitivity,[status(thm)],[814, 813])).
% 0.91/1.14 tff(816,plain,
% 0.91/1.14 (multiply(sk_c5, multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c2)) = multiply(sk_c5, sk_c6)),
% 0.91/1.14 inference(monotonicity,[status(thm)],[815])).
% 0.91/1.14 tff(817,plain,
% 0.91/1.14 (multiply(sk_c5, sk_c6) = multiply(sk_c5, multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c2))),
% 0.91/1.14 inference(symmetry,[status(thm)],[816])).
% 0.91/1.14 tff(818,plain,
% 0.91/1.14 (multiply(sk_c6, multiply(sk_c4, sk_c6)) = multiply(sk_c1, multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.14 inference(transitivity,[status(thm)],[525, 601, 556, 600, 817, 624, 621, 387, 616, 611])).
% 0.91/1.14 tff(819,plain,
% 0.91/1.14 (multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), multiply(sk_c1, multiply(sk_c6, multiply(sk_c4, sk_c6))))),
% 0.91/1.14 inference(monotonicity,[status(thm)],[818])).
% 0.91/1.14 tff(820,plain,
% 0.91/1.14 (sk_c6 = multiply(sk_c6, multiply(sk_c4, sk_c6))),
% 0.91/1.14 inference(transitivity,[status(thm)],[483, 564, 509, 566, 568, 521, 570, 528, 576, 539, 581, 588, 819, 608, 605, 593, 591])).
% 0.91/1.14 tff(821,plain,
% 0.91/1.14 (multiply(sk_c5, sk_c5) = multiply(sk_c6, multiply(sk_c4, sk_c6))),
% 0.91/1.14 inference(transitivity,[status(thm)],[568, 521, 570, 528, 576, 539, 581, 588, 819, 608, 605, 593, 591])).
% 0.91/1.14 tff(822,plain,
% 0.91/1.14 (multiply(multiply(sk_c5, sk_c5), sk_c6) = multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.14 inference(monotonicity,[status(thm)],[821, 820])).
% 0.91/1.14 tff(823,plain,
% 0.91/1.14 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c5, multiply(sk_c5, sk_c6))),
% 0.91/1.14 inference(monotonicity,[status(thm)],[346, 142])).
% 0.91/1.14 tff(824,plain,
% 0.91/1.14 (multiply(sk_c6, sk_c7) = multiply(multiply(sk_c5, sk_c5), sk_c7)),
% 0.91/1.14 inference(monotonicity,[status(thm)],[585])).
% 0.91/1.14 tff(825,plain,
% 0.91/1.14 (multiply(multiply(sk_c4, sk_c6), sk_c6) = multiply(sk_c5, sk_c6)),
% 0.91/1.14 inference(monotonicity,[status(thm)],[437])).
% 0.91/1.14 tff(826,plain,
% 0.91/1.14 (multiply(sk_c4, multiply(sk_c6, sk_c6)) = sk_c7),
% 0.91/1.14 inference(transitivity,[status(thm)],[738, 825, 12])).
% 0.91/1.14 tff(827,plain,
% 0.91/1.14 (multiply(sk_c6, multiply(sk_c4, multiply(sk_c6, sk_c6))) = multiply(sk_c6, sk_c7)),
% 0.91/1.14 inference(monotonicity,[status(thm)],[826])).
% 0.91/1.14 tff(828,plain,
% 0.91/1.14 (multiply(sk_c6, multiply(sk_c4, sk_c6)) = inverse(sk_c3)),
% 0.91/1.14 inference(transitivity,[status(thm)],[525, 601, 556, 600, 12, 720])).
% 0.91/1.14 tff(829,plain,
% 0.91/1.14 (multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 0.91/1.14 inference(monotonicity,[status(thm)],[828])).
% 0.91/1.14 tff(830,plain,
% 0.91/1.14 (multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c3) = multiply(sk_c6, sk_c6)),
% 0.91/1.14 inference(transitivity,[status(thm)],[829, 57, 189, 500, 493, 490, 488, 485])).
% 0.91/1.14 tff(831,plain,
% 0.91/1.14 (multiply(multiply(sk_c6, sk_c4), multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c3)) = multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, sk_c6))),
% 0.91/1.14 inference(monotonicity,[status(thm)],[830])).
% 0.91/1.14 tff(832,plain,
% 0.91/1.14 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), sk_c4) = multiply(sk_c6, sk_c4)),
% 0.91/1.14 inference(monotonicity,[status(thm)],[572])).
% 0.91/1.14 tff(833,plain,
% 0.91/1.14 (multiply(sk_c6, sk_c4) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), sk_c4)),
% 0.91/1.14 inference(symmetry,[status(thm)],[832])).
% 0.91/1.14 tff(834,plain,
% 0.91/1.14 (multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), sk_c4), multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.14 inference(monotonicity,[status(thm)],[833])).
% 0.91/1.14 tff(835,plain,
% 0.91/1.14 (multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), sk_c4), multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.14 inference(symmetry,[status(thm)],[834])).
% 0.91/1.14 tff(836,plain,
% 0.91/1.14 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(sk_c7, multiply(sk_c6, sk_c5))),
% 0.91/1.14 inference(monotonicity,[status(thm)],[826, 525])).
% 0.91/1.14 tff(837,plain,
% 0.91/1.14 (multiply(sk_c4, multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6)))) = sk_c6),
% 0.91/1.14 inference(transitivity,[status(thm)],[743, 836, 522, 569, 567, 518, 565, 482])).
% 0.91/1.14 tff(838,plain,
% 0.91/1.14 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), multiply(sk_c4, multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6))))) = multiply(multiply(sk_c5, sk_c5), sk_c6)),
% 0.91/1.14 inference(monotonicity,[status(thm)],[541, 837])).
% 0.91/1.14 tff(839,plain,
% 0.91/1.14 (multiply(multiply(sk_c5, sk_c5), sk_c6) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), multiply(sk_c4, multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6)))))),
% 0.91/1.14 inference(symmetry,[status(thm)],[838])).
% 0.91/1.14 tff(840,plain,
% 0.91/1.14 (identity = multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.14 inference(transitivity,[status(thm)],[189, 823, 749, 839, 736, 733, 835])).
% 0.91/1.14 tff(841,plain,
% 0.91/1.14 (multiply(identity, sk_c3) = multiply(multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, multiply(sk_c4, sk_c6))), sk_c3)),
% 0.91/1.14 inference(monotonicity,[status(thm)],[840])).
% 0.91/1.14 tff(842,plain,
% 0.91/1.14 (sk_c3 = sk_c5),
% 0.91/1.14 inference(transitivity,[status(thm)],[756, 841, 726, 831, 665, 827, 824, 504, 502, 480, 477, 476])).
% 0.91/1.14 tff(843,plain,
% 0.91/1.14 (multiply(sk_c3, sk_c7) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.14 inference(monotonicity,[status(thm)],[842, 587])).
% 0.91/1.14 tff(844,plain,
% 0.91/1.14 (multiply(sk_c3, sk_c7) = sk_c6),
% 0.91/1.14 inference(transitivity,[status(thm)],[843, 617, 823, 749, 822, 589, 582, 540, 577, 529, 571, 522, 569, 567, 518, 565, 482])).
% 0.91/1.14 tff(845,plain,
% 0.91/1.14 ($false),
% 0.91/1.14 inference(unit_resolution,[status(thm)],[594, 844])).
% 0.91/1.14 tff(846,plain,(multiply(sk_c3, sk_c7) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 0.91/1.14 tff(847,assumption,(~(inverse(sk_c3) = sk_c6)), introduced(assumption)).
% 0.91/1.14 tff(848,plain,
% 0.91/1.14 (multiply(sk_c6, sk_c6) = sk_c6),
% 0.91/1.14 inference(transitivity,[status(thm)],[484, 487, 489, 492, 499, 762, 759, 846])).
% 0.91/1.14 tff(849,plain,
% 0.91/1.14 (multiply(multiply(sk_c6, sk_c6), sk_c4) = multiply(sk_c6, sk_c4)),
% 0.91/1.14 inference(monotonicity,[status(thm)],[848])).
% 0.91/1.14 tff(850,plain,
% 0.91/1.14 (multiply(sk_c6, sk_c4) = multiply(multiply(sk_c6, sk_c6), sk_c4)),
% 0.91/1.14 inference(symmetry,[status(thm)],[849])).
% 0.91/1.14 tff(851,plain,
% 0.91/1.14 (multiply(sk_c6, sk_c4) = sk_c4),
% 0.91/1.14 inference(transitivity,[status(thm)],[850, 768, 77])).
% 0.91/1.14 tff(852,plain,
% 0.91/1.14 (inverse(multiply(sk_c6, sk_c4)) = inverse(sk_c4)),
% 0.91/1.14 inference(monotonicity,[status(thm)],[851])).
% 0.91/1.14 tff(853,plain,
% 0.91/1.14 (inverse(sk_c4) = inverse(multiply(sk_c6, sk_c4))),
% 0.91/1.14 inference(symmetry,[status(thm)],[852])).
% 0.91/1.14 tff(854,assumption,(inverse(sk_c4) = sk_c6), introduced(assumption)).
% 0.91/1.14 tff(855,plain,
% 0.91/1.14 (sk_c6 = inverse(sk_c4)),
% 0.91/1.14 inference(symmetry,[status(thm)],[854])).
% 0.91/1.14 tff(856,plain,
% 0.91/1.14 (multiply(sk_c6, sk_c6) = inverse(multiply(sk_c6, sk_c4))),
% 0.91/1.14 inference(transitivity,[status(thm)],[484, 487, 489, 492, 499, 762, 759, 846, 855, 853])).
% 0.91/1.14 tff(857,plain,
% 0.91/1.14 (multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, sk_c4)) = multiply(inverse(multiply(sk_c6, sk_c4)), multiply(sk_c6, sk_c4))),
% 0.91/1.14 inference(monotonicity,[status(thm)],[856])).
% 0.91/1.14 tff(858,plain,
% 0.91/1.14 (multiply(sk_c6, sk_c4) = multiply(sk_c6, sk_c6)),
% 0.91/1.14 inference(transitivity,[status(thm)],[787, 784, 857, 765, 189, 500, 493, 490, 488, 485])).
% 0.91/1.14 tff(859,plain,
% 0.91/1.14 (multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, sk_c6))),
% 0.91/1.14 inference(monotonicity,[status(thm)],[858])).
% 0.91/1.14 tff(860,plain,
% 0.91/1.14 (multiply(sk_c4, multiply(sk_c6, sk_c6)) = multiply(sk_c4, sk_c6)),
% 0.91/1.14 inference(monotonicity,[status(thm)],[848])).
% 0.91/1.14 tff(861,plain,
% 0.91/1.14 (inverse(sk_c3) = sk_c6),
% 0.91/1.14 inference(transitivity,[status(thm)],[719, 142, 660, 659, 860, 437, 505, 625, 479, 628, 791, 630, 662, 790, 859, 763, 489, 492, 499, 762, 759, 846])).
% 0.91/1.14 tff(862,plain,
% 0.91/1.14 ($false),
% 0.91/1.14 inference(unit_resolution,[status(thm)],[847, 861])).
% 0.91/1.14 tff(863,plain,((~(inverse(sk_c4) = sk_c6)) | (inverse(sk_c3) = sk_c6)), inference(lemma,lemma(discharge,[]))).
% 0.91/1.14 tff(864,plain,
% 0.91/1.14 (~(inverse(sk_c4) = sk_c6)),
% 0.91/1.14 inference(unit_resolution,[status(thm)],[863, 847])).
% 0.91/1.14 tff(865,plain,
% 0.91/1.14 (((inverse(sk_c4) = sk_c6) | (multiply(sk_c1, sk_c7) = sk_c2)) <=> ((inverse(sk_c4) = sk_c6) | (multiply(sk_c1, sk_c7) = sk_c2))),
% 0.91/1.14 inference(rewrite,[status(thm)],[])).
% 0.91/1.14 tff(866,plain,
% 0.91/1.14 (((multiply(sk_c1, sk_c7) = sk_c2) | (inverse(sk_c4) = sk_c6)) <=> ((inverse(sk_c4) = sk_c6) | (multiply(sk_c1, sk_c7) = sk_c2))),
% 0.91/1.14 inference(rewrite,[status(thm)],[])).
% 0.91/1.14 tff(867,axiom,((multiply(sk_c1, sk_c7) = sk_c2) | (inverse(sk_c4) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_17')).
% 0.91/1.14 tff(868,plain,
% 0.91/1.14 ((inverse(sk_c4) = sk_c6) | (multiply(sk_c1, sk_c7) = sk_c2)),
% 0.91/1.14 inference(modus_ponens,[status(thm)],[867, 866])).
% 0.91/1.14 tff(869,plain,
% 0.91/1.14 ((inverse(sk_c4) = sk_c6) | (multiply(sk_c1, sk_c7) = sk_c2)),
% 0.91/1.14 inference(modus_ponens,[status(thm)],[868, 865])).
% 0.91/1.14 tff(870,plain,
% 0.91/1.14 (multiply(sk_c1, sk_c7) = sk_c2),
% 0.91/1.14 inference(unit_resolution,[status(thm)],[869, 864])).
% 0.91/1.14 tff(871,plain,
% 0.91/1.14 (sk_c2 = multiply(sk_c1, sk_c7)),
% 0.91/1.14 inference(symmetry,[status(thm)],[870])).
% 0.91/1.14 tff(872,plain,
% 0.91/1.14 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.14 inference(monotonicity,[status(thm)],[346, 587])).
% 0.91/1.14 tff(873,plain,
% 0.91/1.14 (identity = multiply(sk_c5, multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.14 inference(transitivity,[status(thm)],[189, 872])).
% 0.91/1.14 tff(874,plain,
% 0.91/1.14 (multiply(identity, sk_c2) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(sk_c4, sk_c6))), sk_c2)),
% 0.91/1.14 inference(monotonicity,[status(thm)],[873])).
% 0.91/1.14 tff(875,plain,
% 0.91/1.14 (multiply(multiply(sk_c5, multiply(sk_c6, multiply(sk_c4, sk_c6))), sk_c2) = multiply(identity, sk_c2)),
% 0.91/1.14 inference(symmetry,[status(thm)],[874])).
% 0.91/1.14 tff(876,plain,
% 0.91/1.14 (multiply(sk_c6, multiply(sk_c4, sk_c6)) = multiply(sk_c1, multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.14 inference(transitivity,[status(thm)],[525, 601, 556, 600, 817, 624, 875, 387, 871, 611])).
% 0.91/1.14 tff(877,plain,
% 0.91/1.14 (multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), multiply(sk_c1, multiply(sk_c6, multiply(sk_c4, sk_c6))))),
% 0.91/1.14 inference(monotonicity,[status(thm)],[876])).
% 0.91/1.14 tff(878,plain,
% 0.91/1.14 (multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), multiply(sk_c1, multiply(sk_c6, multiply(sk_c4, sk_c6)))) = multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.14 inference(symmetry,[status(thm)],[877])).
% 0.91/1.14 tff(879,plain,
% 0.91/1.14 (((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c6)) <=> ((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c6))),
% 0.91/1.14 inference(rewrite,[status(thm)],[])).
% 0.91/1.14 tff(880,axiom,((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_21')).
% 0.91/1.14 tff(881,plain,
% 0.91/1.14 ((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c6)),
% 0.91/1.14 inference(modus_ponens,[status(thm)],[880, 879])).
% 0.91/1.14 tff(882,plain,
% 0.91/1.14 (inverse(sk_c1) = sk_c7),
% 0.91/1.14 inference(unit_resolution,[status(thm)],[881, 864])).
% 0.91/1.14 tff(883,plain,
% 0.91/1.14 (sk_c7 = inverse(sk_c1)),
% 0.91/1.14 inference(symmetry,[status(thm)],[882])).
% 0.91/1.14 tff(884,plain,
% 0.91/1.14 (multiply(sk_c6, multiply(sk_c4, sk_c6)) = inverse(sk_c1)),
% 0.91/1.14 inference(transitivity,[status(thm)],[525, 601, 556, 600, 12, 883])).
% 0.91/1.14 tff(885,plain,
% 0.91/1.14 (multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 0.91/1.14 inference(monotonicity,[status(thm)],[884])).
% 0.91/1.14 tff(886,plain,
% 0.91/1.14 (multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c1) = multiply(sk_c6, sk_c6)),
% 0.91/1.14 inference(transitivity,[status(thm)],[885, 358, 189, 500, 493, 490, 488, 485])).
% 0.91/1.14 tff(887,plain,
% 0.91/1.14 (multiply(multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c1), multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.14 inference(monotonicity,[status(thm)],[886])).
% 0.91/1.14 tff(888,plain,
% 0.91/1.14 (multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c1), multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.14 inference(symmetry,[status(thm)],[887])).
% 0.91/1.14 tff(889,plain,
% 0.91/1.14 (inverse(sk_c3) = sk_c6),
% 0.91/1.14 inference(transitivity,[status(thm)],[719, 142, 586, 557, 584, 524, 700, 699, 888, 607, 878, 589, 582, 540, 577, 529, 571, 522, 569, 567, 518, 565, 482])).
% 0.91/1.14 tff(890,plain,
% 0.91/1.14 ($false),
% 0.91/1.14 inference(unit_resolution,[status(thm)],[847, 889])).
% 0.91/1.14 tff(891,plain,(inverse(sk_c3) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 0.91/1.14 tff(892,plain,
% 0.91/1.14 (inverse(sk_c7) = sk_c6),
% 0.91/1.14 inference(unit_resolution,[status(thm)],[805, 891, 846])).
% 0.91/1.14 tff(893,plain,
% 0.91/1.14 (multiply(sk_c7, multiply(sk_c7, sk_c7)) = sk_c6),
% 0.91/1.14 inference(modus_ponens,[status(thm)],[892, 563])).
% 0.91/1.14 tff(894,plain,
% 0.91/1.14 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.14 inference(monotonicity,[status(thm)],[346, 686])).
% 0.91/1.14 tff(895,plain,
% 0.91/1.14 (multiply(sk_c5, multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(inverse(sk_c7), sk_c7)),
% 0.91/1.14 inference(symmetry,[status(thm)],[894])).
% 0.91/1.14 tff(896,plain,
% 0.91/1.14 (multiply(sk_c4, multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6)))) = sk_c6),
% 0.91/1.14 inference(transitivity,[status(thm)],[743, 836, 522, 519, 506, 518, 511, 482])).
% 0.91/1.14 tff(897,plain,
% 0.91/1.14 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), multiply(sk_c4, multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6))))) = multiply(multiply(sk_c5, sk_c5), sk_c6)),
% 0.91/1.14 inference(monotonicity,[status(thm)],[541, 896])).
% 0.91/1.14 tff(898,plain,
% 0.91/1.14 (multiply(multiply(sk_c5, sk_c5), sk_c6) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c5)), multiply(sk_c4, multiply(multiply(sk_c6, sk_c6), multiply(sk_c6, multiply(sk_c4, sk_c6)))))),
% 0.91/1.14 inference(symmetry,[status(thm)],[897])).
% 0.91/1.14 tff(899,plain,
% 0.91/1.14 (identity = multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.14 inference(transitivity,[status(thm)],[189, 751, 749, 898, 736, 733, 730])).
% 0.91/1.14 tff(900,plain,
% 0.91/1.14 (multiply(identity, sk_c3) = multiply(multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, multiply(sk_c4, sk_c6))), sk_c3)),
% 0.91/1.14 inference(monotonicity,[status(thm)],[899])).
% 0.91/1.14 tff(901,plain,
% 0.91/1.14 (multiply(multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, multiply(sk_c4, sk_c6))), sk_c3) = multiply(identity, sk_c3)),
% 0.91/1.14 inference(symmetry,[status(thm)],[900])).
% 0.91/1.14 tff(902,plain,
% 0.91/1.14 (multiply(multiply(sk_c6, sk_c4), multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c3)) = multiply(multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, multiply(sk_c4, sk_c6))), sk_c3)),
% 0.91/1.14 inference(symmetry,[status(thm)],[726])).
% 0.91/1.14 tff(903,plain,
% 0.91/1.14 (multiply(sk_c6, multiply(sk_c4, sk_c6)) = inverse(sk_c3)),
% 0.91/1.14 inference(transitivity,[status(thm)],[525, 674, 556, 673, 12, 720])).
% 0.91/1.14 tff(904,plain,
% 0.91/1.14 (multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 0.91/1.14 inference(monotonicity,[status(thm)],[903])).
% 0.91/1.14 tff(905,plain,
% 0.91/1.14 (multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c3) = multiply(sk_c6, sk_c6)),
% 0.91/1.14 inference(transitivity,[status(thm)],[904, 57, 189, 500, 493, 490, 488, 485])).
% 0.91/1.14 tff(906,plain,
% 0.91/1.14 (multiply(multiply(sk_c6, sk_c4), multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c3)) = multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, sk_c6))),
% 0.91/1.14 inference(monotonicity,[status(thm)],[905])).
% 0.91/1.14 tff(907,plain,
% 0.91/1.14 (multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c6, sk_c4), multiply(multiply(sk_c6, multiply(sk_c4, sk_c6)), sk_c3))),
% 0.91/1.14 inference(symmetry,[status(thm)],[906])).
% 0.91/1.14 tff(908,plain,
% 0.91/1.14 (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c4, multiply(sk_c6, sk_c6)))),
% 0.91/1.14 inference(symmetry,[status(thm)],[827])).
% 0.91/1.14 tff(909,plain,
% 0.91/1.14 (multiply(multiply(sk_c5, sk_c5), sk_c7) = multiply(sk_c6, sk_c7)),
% 0.91/1.14 inference(symmetry,[status(thm)],[514])).
% 0.91/1.14 tff(910,plain,
% 0.91/1.14 (multiply(sk_c5, multiply(sk_c6, sk_c6)) = multiply(sk_c5, multiply(sk_c5, sk_c7))),
% 0.91/1.14 inference(symmetry,[status(thm)],[502])).
% 0.91/1.14 tff(911,plain,
% 0.91/1.14 (multiply(sk_c7, sk_c6) = multiply(multiply(sk_c5, sk_c6), sk_c6)),
% 0.91/1.14 inference(symmetry,[status(thm)],[477])).
% 0.91/1.14 tff(912,plain,
% 0.91/1.14 (sk_c5 = sk_c3),
% 0.91/1.14 inference(transitivity,[status(thm)],[505, 911, 479, 910, 791, 909, 908, 790, 907, 902, 901, 755])).
% 0.91/1.14 tff(913,plain,
% 0.91/1.14 (multiply(sk_c5, multiply(sk_c6, multiply(sk_c4, sk_c6))) = multiply(sk_c3, sk_c7)),
% 0.91/1.14 inference(monotonicity,[status(thm)],[912, 675])).
% 0.91/1.14 tff(914,plain,
% 0.91/1.14 (multiply(sk_c3, sk_c7) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.91/1.14 inference(symmetry,[status(thm)],[913])).
% 0.91/1.14 tff(915,plain,
% 0.91/1.14 (sk_c6 = multiply(sk_c3, sk_c7)),
% 0.91/1.14 inference(symmetry,[status(thm)],[846])).
% 0.91/1.14 tff(916,plain,
% 0.91/1.14 (sk_c6 = multiply(sk_c6, sk_c6)),
% 0.91/1.14 inference(transitivity,[status(thm)],[915, 914, 895, 500, 493, 490, 488, 485])).
% 0.91/1.14 tff(917,plain,
% 0.91/1.14 (multiply(sk_c4, sk_c6) = multiply(sk_c4, multiply(sk_c6, sk_c6))),
% 0.91/1.14 inference(monotonicity,[status(thm)],[916])).
% 0.91/1.14 tff(918,plain,
% 0.91/1.14 (inverse(sk_c7) = sk_c7),
% 0.91/1.14 inference(transitivity,[status(thm)],[346, 523, 917, 738, 825, 12])).
% 0.91/1.14 tff(919,plain,
% 0.91/1.14 (~(multiply(sk_c7, multiply(sk_c7, sk_c7)) = sk_c6)),
% 0.91/1.14 inference(unit_resolution,[status(thm)],[717, 892, 918])).
% 0.91/1.14 tff(920,plain,
% 0.91/1.14 ($false),
% 0.91/1.14 inference(unit_resolution,[status(thm)],[919, 893])).
% 0.91/1.14 % SZS output end Proof
% 0.91/1.15 % E exiting
%------------------------------------------------------------------------------