%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GRP291-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n004.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 05:07:34 AM UTC 2025
% Result : Unsatisfiable 2.25s 2.41s
% Output : Proof 2.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP291-1 : TPTP v9.0.0. Released v2.5.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Jun 19 15:54:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 2.25/2.41 % SZS status Unsatisfiable
% 2.25/2.41 % SZS output start Proof
% 2.25/2.41 tff(sk_c7_type, type, (
% 2.25/2.41 sk_c7: $i)).
% 2.25/2.41 tff(multiply_type, type, (
% 2.25/2.41 multiply: ( $i * $i ) > $i)).
% 2.25/2.41 tff(sk_c6_type, type, (
% 2.25/2.41 sk_c6: $i)).
% 2.25/2.41 tff(identity_type, type, (
% 2.25/2.41 identity: $i)).
% 2.25/2.41 tff(sk_c1_type, type, (
% 2.25/2.41 sk_c1: $i)).
% 2.25/2.41 tff(inverse_type, type, (
% 2.25/2.41 inverse: $i > $i)).
% 2.25/2.41 tff(sk_c5_type, type, (
% 2.25/2.41 sk_c5: $i)).
% 2.25/2.41 tff(sk_c3_type, type, (
% 2.25/2.41 sk_c3: $i)).
% 2.25/2.41 tff(sk_c2_type, type, (
% 2.25/2.41 sk_c2: $i)).
% 2.25/2.41 tff(sk_c4_type, type, (
% 2.25/2.41 sk_c4: $i)).
% 2.25/2.41 tff(1,plain,
% 2.25/2.41 (^[X: $i] : refl((multiply(identity, X) = X) <=> (multiply(identity, X) = X))),
% 2.25/2.41 inference(bind,[status(th)],[])).
% 2.25/2.41 tff(2,plain,
% 2.25/2.41 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 2.25/2.41 inference(quant_intro,[status(thm)],[1])).
% 2.25/2.41 tff(3,plain,
% 2.25/2.41 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 2.25/2.41 inference(rewrite,[status(thm)],[])).
% 2.25/2.41 tff(4,axiom,(![X: $i] : (multiply(identity, X) = X)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','left_identity')).
% 2.25/2.41 tff(5,plain,
% 2.25/2.41 (![X: $i] : (multiply(identity, X) = X)),
% 2.25/2.41 inference(modus_ponens,[status(thm)],[4, 3])).
% 2.25/2.41 tff(6,plain,(
% 2.25/2.41 ![X: $i] : (multiply(identity, X) = X)),
% 2.25/2.41 inference(skolemize,[status(sab)],[5])).
% 2.25/2.41 tff(7,plain,
% 2.25/2.41 (![X: $i] : (multiply(identity, X) = X)),
% 2.25/2.41 inference(modus_ponens,[status(thm)],[6, 2])).
% 2.25/2.41 tff(8,plain,
% 2.25/2.41 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c7) = sk_c7)),
% 2.25/2.41 inference(quant_inst,[status(thm)],[])).
% 2.25/2.41 tff(9,plain,
% 2.25/2.41 (multiply(identity, sk_c7) = sk_c7),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[8, 7])).
% 2.25/2.41 tff(10,plain,
% 2.25/2.41 ((sk_c5 = inverse(sk_c3)) <=> (inverse(sk_c3) = sk_c5)),
% 2.25/2.41 inference(commutativity,[status(thm)],[])).
% 2.25/2.41 tff(11,assumption,(~(multiply(sk_c6, sk_c7) = sk_c5)), introduced(assumption)).
% 2.25/2.41 tff(12,plain,
% 2.25/2.41 (((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)) <=> ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5))),
% 2.25/2.41 inference(rewrite,[status(thm)],[])).
% 2.25/2.41 tff(13,axiom,((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_1')).
% 2.25/2.41 tff(14,plain,
% 2.25/2.41 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 2.25/2.41 inference(modus_ponens,[status(thm)],[13, 12])).
% 2.25/2.41 tff(15,plain,
% 2.25/2.41 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 2.25/2.41 inference(modus_ponens,[status(thm)],[14, 12])).
% 2.25/2.41 tff(16,plain,
% 2.25/2.41 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 2.25/2.41 inference(modus_ponens,[status(thm)],[15, 12])).
% 2.25/2.41 tff(17,plain,
% 2.25/2.41 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 2.25/2.41 inference(modus_ponens,[status(thm)],[16, 12])).
% 2.25/2.41 tff(18,plain,
% 2.25/2.41 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 2.25/2.41 inference(modus_ponens,[status(thm)],[17, 12])).
% 2.25/2.41 tff(19,plain,
% 2.25/2.41 (multiply(sk_c7, sk_c6) = sk_c5),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[18, 11])).
% 2.25/2.41 tff(20,plain,
% 2.25/2.41 (multiply(multiply(identity, sk_c7), sk_c6) = multiply(sk_c7, sk_c6)),
% 2.25/2.41 inference(monotonicity,[status(thm)],[9])).
% 2.25/2.41 tff(21,plain,
% 2.25/2.41 (^[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))))),
% 2.25/2.41 inference(bind,[status(th)],[])).
% 2.25/2.41 tff(22,plain,
% 2.25/2.41 (![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)))),
% 2.25/2.41 inference(quant_intro,[status(thm)],[21])).
% 2.25/2.41 tff(23,plain,
% 2.25/2.41 (![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)))),
% 2.25/2.41 inference(rewrite,[status(thm)],[])).
% 2.25/2.41 tff(24,axiom,(![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','associativity')).
% 2.25/2.41 tff(25,plain,
% 2.25/2.41 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 2.25/2.41 inference(modus_ponens,[status(thm)],[24, 23])).
% 2.25/2.41 tff(26,plain,(
% 2.25/2.41 ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 2.25/2.41 inference(skolemize,[status(sab)],[25])).
% 2.25/2.41 tff(27,plain,
% 2.25/2.41 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 2.25/2.41 inference(modus_ponens,[status(thm)],[26, 22])).
% 2.25/2.41 tff(28,plain,
% 2.25/2.41 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c7), sk_c6) = multiply(identity, multiply(sk_c7, sk_c6)))),
% 2.25/2.41 inference(quant_inst,[status(thm)],[])).
% 2.25/2.41 tff(29,plain,
% 2.25/2.41 (multiply(multiply(identity, sk_c7), sk_c6) = multiply(identity, multiply(sk_c7, sk_c6))),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[28, 27])).
% 2.25/2.41 tff(30,plain,
% 2.25/2.41 (multiply(identity, multiply(sk_c7, sk_c6)) = multiply(multiply(identity, sk_c7), sk_c6)),
% 2.25/2.41 inference(symmetry,[status(thm)],[29])).
% 2.25/2.41 tff(31,plain,
% 2.25/2.41 (((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c6, sk_c7) = sk_c5)) <=> ((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c6, sk_c7) = sk_c5))),
% 2.25/2.41 inference(rewrite,[status(thm)],[])).
% 2.25/2.41 tff(32,axiom,((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c6, sk_c7) = sk_c5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_6')).
% 2.25/2.41 tff(33,plain,
% 2.25/2.41 ((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 2.25/2.41 inference(modus_ponens,[status(thm)],[32, 31])).
% 2.25/2.41 tff(34,plain,
% 2.25/2.41 (multiply(sk_c1, sk_c7) = sk_c6),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[33, 11])).
% 2.25/2.41 tff(35,plain,
% 2.25/2.41 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(sk_c7, sk_c6)),
% 2.25/2.41 inference(monotonicity,[status(thm)],[34])).
% 2.25/2.41 tff(36,plain,
% 2.25/2.41 ((~![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)))),
% 2.25/2.41 inference(quant_inst,[status(thm)],[])).
% 2.25/2.41 tff(37,plain,
% 2.25/2.41 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[36, 27])).
% 2.25/2.41 tff(38,plain,
% 2.25/2.41 (((inverse(sk_c1) = sk_c7) | (multiply(sk_c6, sk_c7) = sk_c5)) <=> ((inverse(sk_c1) = sk_c7) | (multiply(sk_c6, sk_c7) = sk_c5))),
% 2.25/2.41 inference(rewrite,[status(thm)],[])).
% 2.25/2.41 tff(39,axiom,((inverse(sk_c1) = sk_c7) | (multiply(sk_c6, sk_c7) = sk_c5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_11')).
% 2.25/2.41 tff(40,plain,
% 2.25/2.41 ((inverse(sk_c1) = sk_c7) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 2.25/2.41 inference(modus_ponens,[status(thm)],[39, 38])).
% 2.25/2.41 tff(41,plain,
% 2.25/2.41 (inverse(sk_c1) = sk_c7),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[40, 11])).
% 2.25/2.41 tff(42,plain,
% 2.25/2.41 (sk_c7 = inverse(sk_c1)),
% 2.25/2.41 inference(symmetry,[status(thm)],[41])).
% 2.25/2.41 tff(43,plain,
% 2.25/2.41 (multiply(sk_c7, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 2.25/2.41 inference(monotonicity,[status(thm)],[42])).
% 2.25/2.41 tff(44,plain,
% 2.25/2.41 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c7, sk_c1)),
% 2.25/2.41 inference(symmetry,[status(thm)],[43])).
% 2.25/2.41 tff(45,plain,
% 2.25/2.41 (^[X: $i] : refl((multiply(inverse(X), X) = identity) <=> (multiply(inverse(X), X) = identity))),
% 2.25/2.41 inference(bind,[status(th)],[])).
% 2.25/2.41 tff(46,plain,
% 2.25/2.41 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 2.25/2.41 inference(quant_intro,[status(thm)],[45])).
% 2.25/2.41 tff(47,plain,
% 2.25/2.41 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 2.25/2.41 inference(rewrite,[status(thm)],[])).
% 2.25/2.41 tff(48,axiom,(![X: $i] : (multiply(inverse(X), X) = identity)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','left_inverse')).
% 2.25/2.41 tff(49,plain,
% 2.25/2.41 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 2.25/2.41 inference(modus_ponens,[status(thm)],[48, 47])).
% 2.25/2.41 tff(50,plain,(
% 2.25/2.41 ![X: $i] : (multiply(inverse(X), X) = identity)),
% 2.25/2.41 inference(skolemize,[status(sab)],[49])).
% 2.25/2.41 tff(51,plain,
% 2.25/2.41 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 2.25/2.41 inference(modus_ponens,[status(thm)],[50, 46])).
% 2.25/2.41 tff(52,plain,
% 2.25/2.41 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c1), sk_c1) = identity)),
% 2.25/2.41 inference(quant_inst,[status(thm)],[])).
% 2.25/2.41 tff(53,plain,
% 2.25/2.41 (multiply(inverse(sk_c1), sk_c1) = identity),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[52, 51])).
% 2.25/2.41 tff(54,plain,
% 2.25/2.41 (identity = multiply(inverse(sk_c1), sk_c1)),
% 2.25/2.41 inference(symmetry,[status(thm)],[53])).
% 2.25/2.41 tff(55,plain,
% 2.25/2.41 (identity = multiply(sk_c7, sk_c1)),
% 2.25/2.41 inference(transitivity,[status(thm)],[54, 44])).
% 2.25/2.41 tff(56,plain,
% 2.25/2.41 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 2.25/2.41 inference(monotonicity,[status(thm)],[55])).
% 2.25/2.41 tff(57,plain,
% 2.25/2.41 (sk_c7 = multiply(identity, sk_c7)),
% 2.25/2.41 inference(symmetry,[status(thm)],[9])).
% 2.25/2.41 tff(58,plain,
% 2.25/2.41 (sk_c7 = multiply(sk_c7, sk_c6)),
% 2.25/2.41 inference(transitivity,[status(thm)],[57, 56, 37, 35])).
% 2.25/2.41 tff(59,plain,
% 2.25/2.41 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c2), sk_c2) = identity)),
% 2.25/2.41 inference(quant_inst,[status(thm)],[])).
% 2.25/2.41 tff(60,plain,
% 2.25/2.41 (multiply(inverse(sk_c2), sk_c2) = identity),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[59, 51])).
% 2.25/2.41 tff(61,plain,
% 2.25/2.41 (((inverse(sk_c2) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)) <=> ((inverse(sk_c2) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5))),
% 2.25/2.41 inference(rewrite,[status(thm)],[])).
% 2.25/2.41 tff(62,axiom,((inverse(sk_c2) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_21')).
% 2.25/2.41 tff(63,plain,
% 2.25/2.41 ((inverse(sk_c2) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 2.25/2.41 inference(modus_ponens,[status(thm)],[62, 61])).
% 2.25/2.41 tff(64,plain,
% 2.25/2.41 (inverse(sk_c2) = sk_c5),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[63, 11])).
% 2.25/2.41 tff(65,plain,
% 2.25/2.41 (sk_c5 = inverse(sk_c2)),
% 2.25/2.41 inference(symmetry,[status(thm)],[64])).
% 2.25/2.41 tff(66,plain,
% 2.25/2.41 (multiply(sk_c5, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 2.25/2.41 inference(monotonicity,[status(thm)],[65])).
% 2.25/2.41 tff(67,plain,
% 2.25/2.41 (multiply(sk_c5, sk_c2) = identity),
% 2.25/2.41 inference(transitivity,[status(thm)],[66, 60])).
% 2.25/2.41 tff(68,plain,
% 2.25/2.41 (multiply(multiply(sk_c5, sk_c2), sk_c7) = multiply(identity, multiply(sk_c7, sk_c6))),
% 2.25/2.41 inference(monotonicity,[status(thm)],[67, 58])).
% 2.25/2.41 tff(69,plain,
% 2.25/2.41 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c2), sk_c7) = multiply(sk_c5, multiply(sk_c2, sk_c7)))),
% 2.25/2.41 inference(quant_inst,[status(thm)],[])).
% 2.25/2.41 tff(70,plain,
% 2.25/2.41 (multiply(multiply(sk_c5, sk_c2), sk_c7) = multiply(sk_c5, multiply(sk_c2, sk_c7))),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[69, 27])).
% 2.25/2.41 tff(71,plain,
% 2.25/2.41 (multiply(sk_c5, multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c5, sk_c2), sk_c7)),
% 2.25/2.41 inference(symmetry,[status(thm)],[70])).
% 2.25/2.41 tff(72,plain,
% 2.25/2.41 (sk_c7 = sk_c5),
% 2.25/2.41 inference(transitivity,[status(thm)],[57, 56, 37, 35, 19])).
% 2.25/2.41 tff(73,plain,
% 2.25/2.41 (multiply(sk_c2, sk_c7) = multiply(sk_c2, sk_c5)),
% 2.25/2.41 inference(monotonicity,[status(thm)],[72])).
% 2.25/2.41 tff(74,plain,
% 2.25/2.41 (multiply(sk_c2, sk_c5) = multiply(sk_c2, sk_c7)),
% 2.25/2.41 inference(symmetry,[status(thm)],[73])).
% 2.25/2.41 tff(75,plain,
% 2.25/2.41 (((multiply(sk_c2, sk_c5) = sk_c7) | (multiply(sk_c6, sk_c7) = sk_c5)) <=> ((multiply(sk_c2, sk_c5) = sk_c7) | (multiply(sk_c6, sk_c7) = sk_c5))),
% 2.25/2.41 inference(rewrite,[status(thm)],[])).
% 2.25/2.41 tff(76,axiom,((multiply(sk_c2, sk_c5) = sk_c7) | (multiply(sk_c6, sk_c7) = sk_c5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_16')).
% 2.25/2.41 tff(77,plain,
% 2.25/2.41 ((multiply(sk_c2, sk_c5) = sk_c7) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 2.25/2.41 inference(modus_ponens,[status(thm)],[76, 75])).
% 2.25/2.41 tff(78,plain,
% 2.25/2.41 (multiply(sk_c2, sk_c5) = sk_c7),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[77, 11])).
% 2.25/2.41 tff(79,plain,
% 2.25/2.41 (sk_c7 = multiply(sk_c2, sk_c5)),
% 2.25/2.41 inference(symmetry,[status(thm)],[78])).
% 2.25/2.41 tff(80,plain,
% 2.25/2.41 (sk_c7 = multiply(sk_c2, sk_c7)),
% 2.25/2.41 inference(transitivity,[status(thm)],[79, 74])).
% 2.25/2.41 tff(81,plain,
% 2.25/2.41 (multiply(sk_c7, sk_c7) = multiply(sk_c5, multiply(sk_c2, sk_c7))),
% 2.25/2.41 inference(monotonicity,[status(thm)],[72, 80])).
% 2.25/2.41 tff(82,plain,
% 2.25/2.41 (multiply(sk_c2, multiply(sk_c7, sk_c6)) = multiply(sk_c2, sk_c5)),
% 2.25/2.41 inference(monotonicity,[status(thm)],[19])).
% 2.25/2.41 tff(83,plain,
% 2.25/2.41 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c7), sk_c6) = multiply(sk_c2, multiply(sk_c7, sk_c6)))),
% 2.25/2.41 inference(quant_inst,[status(thm)],[])).
% 2.25/2.41 tff(84,plain,
% 2.25/2.41 (multiply(multiply(sk_c2, sk_c7), sk_c6) = multiply(sk_c2, multiply(sk_c7, sk_c6))),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[83, 27])).
% 2.25/2.41 tff(85,plain,
% 2.25/2.41 (multiply(multiply(sk_c2, sk_c7), sk_c6) = sk_c7),
% 2.25/2.41 inference(transitivity,[status(thm)],[84, 82, 78])).
% 2.25/2.41 tff(86,plain,
% 2.25/2.41 (multiply(multiply(multiply(sk_c2, sk_c7), sk_c6), sk_c7) = multiply(sk_c7, sk_c7)),
% 2.25/2.41 inference(monotonicity,[status(thm)],[85])).
% 2.25/2.41 tff(87,plain,
% 2.25/2.41 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c7), sk_c6), sk_c7) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c7)))),
% 2.25/2.41 inference(quant_inst,[status(thm)],[])).
% 2.25/2.41 tff(88,plain,
% 2.25/2.41 (multiply(multiply(multiply(sk_c2, sk_c7), sk_c6), sk_c7) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c7))),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[87, 27])).
% 2.25/2.41 tff(89,plain,
% 2.25/2.41 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c7)) = multiply(multiply(multiply(sk_c2, sk_c7), sk_c6), sk_c7)),
% 2.25/2.41 inference(symmetry,[status(thm)],[88])).
% 2.25/2.41 tff(90,plain,
% 2.25/2.41 (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c2, sk_c5))),
% 2.25/2.41 inference(monotonicity,[status(thm)],[79])).
% 2.25/2.41 tff(91,plain,
% 2.25/2.41 (multiply(sk_c6, multiply(sk_c2, sk_c5)) = multiply(sk_c6, sk_c7)),
% 2.25/2.41 inference(symmetry,[status(thm)],[90])).
% 2.25/2.41 tff(92,plain,
% 2.25/2.41 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(identity, sk_c7)),
% 2.25/2.41 inference(symmetry,[status(thm)],[56])).
% 2.25/2.41 tff(93,plain,
% 2.25/2.41 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c6), sk_c6) = identity)),
% 2.25/2.41 inference(quant_inst,[status(thm)],[])).
% 2.25/2.41 tff(94,plain,
% 2.25/2.41 (multiply(inverse(sk_c6), sk_c6) = identity),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[93, 51])).
% 2.25/2.41 tff(95,plain,
% 2.25/2.41 (sk_c6 = multiply(sk_c1, sk_c7)),
% 2.25/2.41 inference(symmetry,[status(thm)],[34])).
% 2.25/2.41 tff(96,plain,
% 2.25/2.41 (multiply(inverse(sk_c6), sk_c6) = multiply(inverse(sk_c6), multiply(sk_c1, sk_c7))),
% 2.25/2.41 inference(monotonicity,[status(thm)],[95])).
% 2.25/2.41 tff(97,plain,
% 2.25/2.41 (multiply(inverse(sk_c6), multiply(sk_c1, sk_c7)) = multiply(inverse(sk_c6), sk_c6)),
% 2.25/2.41 inference(symmetry,[status(thm)],[96])).
% 2.25/2.41 tff(98,plain,
% 2.25/2.41 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c6), sk_c1), sk_c7) = multiply(inverse(sk_c6), multiply(sk_c1, sk_c7)))),
% 2.25/2.41 inference(quant_inst,[status(thm)],[])).
% 2.25/2.41 tff(99,plain,
% 2.25/2.41 (multiply(multiply(inverse(sk_c6), sk_c1), sk_c7) = multiply(inverse(sk_c6), multiply(sk_c1, sk_c7))),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[98, 27])).
% 2.25/2.41 tff(100,plain,
% 2.25/2.41 (multiply(multiply(inverse(sk_c6), sk_c1), sk_c7) = multiply(sk_c7, sk_c1)),
% 2.25/2.41 inference(transitivity,[status(thm)],[99, 97, 94, 54, 44])).
% 2.25/2.41 tff(101,plain,
% 2.25/2.41 (multiply(multiply(multiply(inverse(sk_c6), sk_c1), sk_c7), sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 2.25/2.41 inference(monotonicity,[status(thm)],[100])).
% 2.25/2.41 tff(102,plain,
% 2.25/2.41 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c6), sk_c1), sk_c7), sk_c7) = multiply(multiply(inverse(sk_c6), sk_c1), multiply(sk_c7, sk_c7)))),
% 2.25/2.41 inference(quant_inst,[status(thm)],[])).
% 2.25/2.41 tff(103,plain,
% 2.25/2.41 (multiply(multiply(multiply(inverse(sk_c6), sk_c1), sk_c7), sk_c7) = multiply(multiply(inverse(sk_c6), sk_c1), multiply(sk_c7, sk_c7))),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[102, 27])).
% 2.25/2.41 tff(104,plain,
% 2.25/2.41 (multiply(multiply(inverse(sk_c6), sk_c1), multiply(sk_c7, sk_c7)) = multiply(multiply(multiply(inverse(sk_c6), sk_c1), sk_c7), sk_c7)),
% 2.25/2.41 inference(symmetry,[status(thm)],[103])).
% 2.25/2.41 tff(105,plain,
% 2.25/2.41 (multiply(sk_c5, multiply(sk_c2, sk_c7)) = multiply(sk_c7, sk_c7)),
% 2.25/2.41 inference(symmetry,[status(thm)],[81])).
% 2.25/2.41 tff(106,plain,
% 2.25/2.41 (multiply(identity, multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c5, sk_c2), sk_c7)),
% 2.25/2.41 inference(symmetry,[status(thm)],[68])).
% 2.25/2.41 tff(107,plain,
% 2.25/2.41 (multiply(sk_c7, sk_c6) = multiply(multiply(identity, sk_c7), sk_c6)),
% 2.25/2.41 inference(symmetry,[status(thm)],[20])).
% 2.25/2.41 tff(108,plain,
% 2.25/2.41 (sk_c7 = multiply(sk_c7, sk_c7)),
% 2.25/2.41 inference(transitivity,[status(thm)],[57, 56, 37, 35, 107, 29, 106, 70, 105])).
% 2.25/2.41 tff(109,plain,
% 2.25/2.41 (multiply(multiply(inverse(sk_c6), sk_c1), sk_c7) = multiply(multiply(inverse(sk_c6), sk_c1), multiply(sk_c7, sk_c7))),
% 2.25/2.41 inference(monotonicity,[status(thm)],[108])).
% 2.25/2.41 tff(110,plain,
% 2.25/2.41 (multiply(inverse(sk_c6), multiply(sk_c1, sk_c7)) = multiply(multiply(inverse(sk_c6), sk_c1), sk_c7)),
% 2.25/2.41 inference(symmetry,[status(thm)],[99])).
% 2.25/2.41 tff(111,plain,
% 2.25/2.41 (identity = multiply(inverse(sk_c6), sk_c6)),
% 2.25/2.41 inference(symmetry,[status(thm)],[94])).
% 2.25/2.41 tff(112,plain,
% 2.25/2.41 (identity = multiply(sk_c2, sk_c7)),
% 2.25/2.41 inference(transitivity,[status(thm)],[111, 96, 110, 109, 104, 101, 92, 9, 79, 74])).
% 2.25/2.41 tff(113,plain,
% 2.25/2.41 (multiply(identity, multiply(sk_c6, multiply(sk_c2, sk_c5))) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c7))),
% 2.25/2.41 inference(monotonicity,[status(thm)],[112, 91])).
% 2.25/2.41 tff(114,plain,
% 2.25/2.41 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c6, multiply(sk_c2, sk_c5))) = multiply(sk_c6, multiply(sk_c2, sk_c5)))),
% 2.25/2.41 inference(quant_inst,[status(thm)],[])).
% 2.25/2.41 tff(115,plain,
% 2.25/2.41 (multiply(identity, multiply(sk_c6, multiply(sk_c2, sk_c5))) = multiply(sk_c6, multiply(sk_c2, sk_c5))),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[114, 7])).
% 2.25/2.41 tff(116,plain,
% 2.25/2.41 (multiply(sk_c6, multiply(sk_c2, sk_c5)) = multiply(identity, multiply(sk_c6, multiply(sk_c2, sk_c5)))),
% 2.25/2.41 inference(symmetry,[status(thm)],[115])).
% 2.25/2.41 tff(117,plain,
% 2.25/2.41 (multiply(sk_c6, sk_c7) = sk_c5),
% 2.25/2.41 inference(transitivity,[status(thm)],[90, 116, 113, 89, 86, 81, 71, 68, 30, 20, 19])).
% 2.25/2.41 tff(118,plain,
% 2.25/2.41 ($false),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[11, 117])).
% 2.25/2.41 tff(119,plain,(multiply(sk_c6, sk_c7) = sk_c5), inference(lemma,lemma(discharge,[]))).
% 2.25/2.41 tff(120,plain,
% 2.25/2.41 (sk_c5 = multiply(sk_c6, sk_c7)),
% 2.25/2.41 inference(symmetry,[status(thm)],[119])).
% 2.25/2.41 tff(121,plain,
% 2.25/2.41 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c5) = sk_c5)),
% 2.25/2.41 inference(quant_inst,[status(thm)],[])).
% 2.25/2.41 tff(122,plain,
% 2.25/2.41 (multiply(identity, sk_c5) = sk_c5),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[121, 7])).
% 2.25/2.41 tff(123,assumption,(~(multiply(sk_c7, sk_c6) = sk_c5)), introduced(assumption)).
% 2.25/2.41 tff(124,plain,
% 2.25/2.41 (((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)) <=> ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6))),
% 2.25/2.41 inference(rewrite,[status(thm)],[])).
% 2.25/2.41 tff(125,axiom,((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_4')).
% 2.25/2.41 tff(126,plain,
% 2.25/2.41 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)),
% 2.25/2.41 inference(modus_ponens,[status(thm)],[125, 124])).
% 2.25/2.41 tff(127,plain,
% 2.25/2.41 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)),
% 2.25/2.41 inference(modus_ponens,[status(thm)],[126, 124])).
% 2.25/2.41 tff(128,plain,
% 2.25/2.41 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)),
% 2.25/2.41 inference(modus_ponens,[status(thm)],[127, 124])).
% 2.25/2.41 tff(129,plain,
% 2.25/2.41 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)),
% 2.25/2.41 inference(modus_ponens,[status(thm)],[128, 124])).
% 2.25/2.41 tff(130,plain,
% 2.25/2.41 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)),
% 2.25/2.41 inference(modus_ponens,[status(thm)],[129, 124])).
% 2.25/2.41 tff(131,plain,
% 2.25/2.41 (inverse(sk_c4) = sk_c6),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[130, 123])).
% 2.25/2.41 tff(132,plain,
% 2.25/2.41 (sk_c6 = inverse(sk_c4)),
% 2.25/2.41 inference(symmetry,[status(thm)],[131])).
% 2.25/2.41 tff(133,plain,
% 2.25/2.41 (multiply(sk_c6, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 2.25/2.41 inference(monotonicity,[status(thm)],[132])).
% 2.25/2.41 tff(134,plain,
% 2.25/2.41 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c6, sk_c4)),
% 2.25/2.41 inference(symmetry,[status(thm)],[133])).
% 2.25/2.41 tff(135,plain,
% 2.25/2.41 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c4), sk_c4) = identity)),
% 2.25/2.41 inference(quant_inst,[status(thm)],[])).
% 2.25/2.42 tff(136,plain,
% 2.25/2.42 (multiply(inverse(sk_c4), sk_c4) = identity),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[135, 51])).
% 2.25/2.42 tff(137,plain,
% 2.25/2.42 (identity = multiply(inverse(sk_c4), sk_c4)),
% 2.25/2.42 inference(symmetry,[status(thm)],[136])).
% 2.25/2.42 tff(138,plain,
% 2.25/2.42 (identity = multiply(sk_c6, sk_c4)),
% 2.25/2.42 inference(transitivity,[status(thm)],[137, 134])).
% 2.25/2.42 tff(139,plain,
% 2.25/2.42 (multiply(identity, sk_c5) = multiply(multiply(sk_c6, sk_c4), sk_c5)),
% 2.25/2.42 inference(monotonicity,[status(thm)],[138])).
% 2.25/2.42 tff(140,plain,
% 2.25/2.42 (multiply(multiply(sk_c6, sk_c4), sk_c5) = multiply(identity, sk_c5)),
% 2.25/2.42 inference(symmetry,[status(thm)],[139])).
% 2.25/2.42 tff(141,plain,
% 2.25/2.42 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c3), sk_c3) = identity)),
% 2.25/2.42 inference(quant_inst,[status(thm)],[])).
% 2.25/2.42 tff(142,plain,
% 2.25/2.42 (multiply(inverse(sk_c3), sk_c3) = identity),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[141, 51])).
% 2.25/2.42 tff(143,plain,
% 2.25/2.42 (((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)) <=> ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7))),
% 2.25/2.42 inference(rewrite,[status(thm)],[])).
% 2.25/2.42 tff(144,axiom,((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_2')).
% 2.25/2.42 tff(145,plain,
% 2.25/2.42 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[144, 143])).
% 2.25/2.42 tff(146,plain,
% 2.25/2.42 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[145, 143])).
% 2.25/2.42 tff(147,plain,
% 2.25/2.42 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[146, 143])).
% 2.25/2.42 tff(148,plain,
% 2.25/2.42 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[147, 143])).
% 2.25/2.42 tff(149,plain,
% 2.25/2.42 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[148, 143])).
% 2.25/2.42 tff(150,plain,
% 2.25/2.42 (inverse(sk_c3) = sk_c7),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[149, 123])).
% 2.25/2.42 tff(151,plain,
% 2.25/2.42 (sk_c7 = inverse(sk_c3)),
% 2.25/2.42 inference(symmetry,[status(thm)],[150])).
% 2.25/2.42 tff(152,plain,
% 2.25/2.42 (multiply(sk_c7, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 2.25/2.42 inference(monotonicity,[status(thm)],[151])).
% 2.25/2.42 tff(153,plain,
% 2.25/2.42 (multiply(sk_c7, sk_c3) = multiply(sk_c6, sk_c4)),
% 2.25/2.42 inference(transitivity,[status(thm)],[152, 142, 137, 134])).
% 2.25/2.42 tff(154,plain,
% 2.25/2.42 (multiply(multiply(sk_c7, sk_c3), sk_c5) = multiply(multiply(sk_c6, sk_c4), sk_c5)),
% 2.25/2.42 inference(monotonicity,[status(thm)],[153])).
% 2.25/2.42 tff(155,plain,
% 2.25/2.42 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c3), sk_c5) = multiply(sk_c7, multiply(sk_c3, sk_c5)))),
% 2.25/2.42 inference(quant_inst,[status(thm)],[])).
% 2.25/2.42 tff(156,plain,
% 2.25/2.42 (multiply(multiply(sk_c7, sk_c3), sk_c5) = multiply(sk_c7, multiply(sk_c3, sk_c5))),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[155, 27])).
% 2.25/2.42 tff(157,plain,
% 2.25/2.42 (multiply(sk_c7, multiply(sk_c3, sk_c5)) = multiply(multiply(sk_c7, sk_c3), sk_c5)),
% 2.25/2.42 inference(symmetry,[status(thm)],[156])).
% 2.25/2.42 tff(158,plain,
% 2.25/2.42 (multiply(sk_c3, multiply(sk_c6, sk_c7)) = multiply(sk_c3, sk_c5)),
% 2.25/2.42 inference(monotonicity,[status(thm)],[119])).
% 2.25/2.42 tff(159,plain,
% 2.25/2.42 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c6), sk_c7) = multiply(sk_c3, multiply(sk_c6, sk_c7)))),
% 2.25/2.42 inference(quant_inst,[status(thm)],[])).
% 2.25/2.42 tff(160,plain,
% 2.25/2.42 (multiply(multiply(sk_c3, sk_c6), sk_c7) = multiply(sk_c3, multiply(sk_c6, sk_c7))),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[159, 27])).
% 2.25/2.42 tff(161,plain,
% 2.25/2.42 (((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 2.25/2.42 inference(rewrite,[status(thm)],[])).
% 2.25/2.42 tff(162,axiom,((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_3')).
% 2.25/2.42 tff(163,plain,
% 2.25/2.42 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[162, 161])).
% 2.25/2.42 tff(164,plain,
% 2.25/2.42 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[163, 161])).
% 2.25/2.42 tff(165,plain,
% 2.25/2.42 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[164, 161])).
% 2.25/2.42 tff(166,plain,
% 2.25/2.42 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[165, 161])).
% 2.25/2.42 tff(167,plain,
% 2.25/2.42 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[166, 161])).
% 2.25/2.42 tff(168,plain,
% 2.25/2.42 (multiply(sk_c3, sk_c6) = sk_c7),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[167, 123])).
% 2.25/2.42 tff(169,plain,
% 2.25/2.42 (sk_c7 = multiply(sk_c3, sk_c6)),
% 2.25/2.42 inference(symmetry,[status(thm)],[168])).
% 2.25/2.42 tff(170,plain,
% 2.25/2.42 (multiply(sk_c7, sk_c7) = multiply(multiply(sk_c3, sk_c6), sk_c7)),
% 2.25/2.42 inference(monotonicity,[status(thm)],[169])).
% 2.25/2.42 tff(171,plain,
% 2.25/2.42 (multiply(sk_c7, sk_c7) = multiply(sk_c3, sk_c5)),
% 2.25/2.42 inference(transitivity,[status(thm)],[170, 160, 158])).
% 2.25/2.42 tff(172,plain,
% 2.25/2.42 (multiply(sk_c7, multiply(sk_c7, sk_c7)) = multiply(sk_c7, multiply(sk_c3, sk_c5))),
% 2.25/2.42 inference(monotonicity,[status(thm)],[171])).
% 2.25/2.42 tff(173,plain,
% 2.25/2.42 (multiply(multiply(sk_c3, sk_c6), sk_c7) = multiply(sk_c7, sk_c7)),
% 2.25/2.42 inference(symmetry,[status(thm)],[170])).
% 2.25/2.42 tff(174,plain,
% 2.25/2.42 (multiply(sk_c3, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c3, sk_c6), sk_c7)),
% 2.25/2.42 inference(symmetry,[status(thm)],[160])).
% 2.25/2.42 tff(175,plain,
% 2.25/2.42 (multiply(sk_c3, sk_c5) = multiply(sk_c3, multiply(sk_c6, sk_c7))),
% 2.25/2.42 inference(symmetry,[status(thm)],[158])).
% 2.25/2.42 tff(176,plain,
% 2.25/2.42 (((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)) <=> ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6))),
% 2.25/2.42 inference(rewrite,[status(thm)],[])).
% 2.25/2.42 tff(177,axiom,((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_5')).
% 2.25/2.42 tff(178,plain,
% 2.25/2.42 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[177, 176])).
% 2.25/2.42 tff(179,plain,
% 2.25/2.42 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[178, 176])).
% 2.25/2.42 tff(180,plain,
% 2.25/2.42 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[179, 176])).
% 2.25/2.42 tff(181,plain,
% 2.25/2.42 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[180, 176])).
% 2.25/2.42 tff(182,plain,
% 2.25/2.42 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[181, 176])).
% 2.25/2.42 tff(183,plain,
% 2.25/2.42 (multiply(sk_c4, sk_c5) = sk_c6),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[182, 123])).
% 2.25/2.42 tff(184,plain,
% 2.25/2.42 (multiply(sk_c6, multiply(sk_c4, sk_c5)) = multiply(sk_c6, sk_c6)),
% 2.25/2.42 inference(monotonicity,[status(thm)],[183])).
% 2.25/2.42 tff(185,plain,
% 2.25/2.42 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c4), sk_c5) = multiply(sk_c6, multiply(sk_c4, sk_c5)))),
% 2.25/2.42 inference(quant_inst,[status(thm)],[])).
% 2.25/2.42 tff(186,plain,
% 2.25/2.42 (multiply(multiply(sk_c6, sk_c4), sk_c5) = multiply(sk_c6, multiply(sk_c4, sk_c5))),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[185, 27])).
% 2.25/2.42 tff(187,plain,
% 2.25/2.42 (sk_c5 = multiply(identity, sk_c5)),
% 2.25/2.42 inference(symmetry,[status(thm)],[122])).
% 2.25/2.42 tff(188,plain,
% 2.25/2.42 (sk_c5 = multiply(sk_c6, sk_c6)),
% 2.25/2.42 inference(transitivity,[status(thm)],[187, 139, 186, 184])).
% 2.25/2.42 tff(189,plain,
% 2.25/2.42 (multiply(sk_c3, sk_c5) = multiply(sk_c3, multiply(sk_c6, sk_c6))),
% 2.25/2.42 inference(monotonicity,[status(thm)],[188])).
% 2.25/2.42 tff(190,plain,
% 2.25/2.42 (multiply(sk_c3, multiply(sk_c6, sk_c6)) = multiply(sk_c3, sk_c5)),
% 2.25/2.42 inference(symmetry,[status(thm)],[189])).
% 2.25/2.42 tff(191,plain,
% 2.25/2.42 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c6), sk_c6) = multiply(sk_c3, multiply(sk_c6, sk_c6)))),
% 2.25/2.42 inference(quant_inst,[status(thm)],[])).
% 2.25/2.42 tff(192,plain,
% 2.25/2.42 (multiply(multiply(sk_c3, sk_c6), sk_c6) = multiply(sk_c3, multiply(sk_c6, sk_c6))),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[191, 27])).
% 2.25/2.42 tff(193,plain,
% 2.25/2.42 (multiply(multiply(sk_c3, sk_c6), sk_c6) = multiply(sk_c7, sk_c6)),
% 2.25/2.42 inference(monotonicity,[status(thm)],[168])).
% 2.25/2.42 tff(194,plain,
% 2.25/2.42 (multiply(sk_c7, sk_c6) = multiply(multiply(sk_c3, sk_c6), sk_c6)),
% 2.25/2.42 inference(symmetry,[status(thm)],[193])).
% 2.25/2.42 tff(195,plain,
% 2.25/2.42 (multiply(sk_c7, multiply(sk_c4, sk_c5)) = multiply(sk_c7, sk_c6)),
% 2.25/2.42 inference(monotonicity,[status(thm)],[183])).
% 2.25/2.42 tff(196,plain,
% 2.25/2.42 (multiply(sk_c7, multiply(sk_c4, sk_c5)) = multiply(sk_c7, sk_c7)),
% 2.25/2.42 inference(transitivity,[status(thm)],[195, 194, 192, 190, 175, 174, 173])).
% 2.25/2.42 tff(197,plain,
% 2.25/2.42 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c4, sk_c5))) = multiply(sk_c7, multiply(sk_c7, sk_c7))),
% 2.25/2.42 inference(monotonicity,[status(thm)],[196])).
% 2.25/2.42 tff(198,plain,
% 2.25/2.42 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c4, sk_c5))),
% 2.25/2.42 inference(symmetry,[status(thm)],[195])).
% 2.25/2.42 tff(199,plain,
% 2.25/2.42 (multiply(sk_c3, multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c3, sk_c6), sk_c6)),
% 2.25/2.42 inference(symmetry,[status(thm)],[192])).
% 2.25/2.42 tff(200,plain,
% 2.25/2.42 (multiply(sk_c7, multiply(sk_c3, sk_c6)) = multiply(sk_c7, sk_c7)),
% 2.25/2.42 inference(monotonicity,[status(thm)],[168])).
% 2.25/2.42 tff(201,plain,
% 2.25/2.42 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c3), sk_c6) = multiply(sk_c7, multiply(sk_c3, sk_c6)))),
% 2.25/2.42 inference(quant_inst,[status(thm)],[])).
% 2.25/2.42 tff(202,plain,
% 2.25/2.42 (multiply(multiply(sk_c7, sk_c3), sk_c6) = multiply(sk_c7, multiply(sk_c3, sk_c6))),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[201, 27])).
% 2.25/2.42 tff(203,plain,
% 2.25/2.42 (multiply(inverse(sk_c3), sk_c3) = multiply(sk_c7, sk_c3)),
% 2.25/2.42 inference(symmetry,[status(thm)],[152])).
% 2.25/2.42 tff(204,plain,
% 2.25/2.42 (identity = multiply(inverse(sk_c3), sk_c3)),
% 2.25/2.42 inference(symmetry,[status(thm)],[142])).
% 2.25/2.42 tff(205,plain,
% 2.25/2.42 (identity = multiply(sk_c7, sk_c3)),
% 2.25/2.42 inference(transitivity,[status(thm)],[204, 203])).
% 2.25/2.42 tff(206,plain,
% 2.25/2.42 (multiply(identity, sk_c6) = multiply(multiply(sk_c7, sk_c3), sk_c6)),
% 2.25/2.42 inference(monotonicity,[status(thm)],[205])).
% 2.25/2.42 tff(207,plain,
% 2.25/2.42 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c6) = sk_c6)),
% 2.25/2.42 inference(quant_inst,[status(thm)],[])).
% 2.25/2.42 tff(208,plain,
% 2.25/2.42 (multiply(identity, sk_c6) = sk_c6),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[207, 7])).
% 2.25/2.42 tff(209,plain,
% 2.25/2.42 (sk_c6 = multiply(identity, sk_c6)),
% 2.25/2.42 inference(symmetry,[status(thm)],[208])).
% 2.25/2.42 tff(210,plain,
% 2.25/2.42 (sk_c6 = multiply(sk_c7, multiply(sk_c4, sk_c5))),
% 2.25/2.42 inference(transitivity,[status(thm)],[209, 206, 202, 200, 170, 160, 158, 189, 199, 193, 198])).
% 2.25/2.42 tff(211,plain,
% 2.25/2.42 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c4, sk_c5)))),
% 2.25/2.42 inference(monotonicity,[status(thm)],[210])).
% 2.25/2.42 tff(212,plain,
% 2.25/2.42 (multiply(sk_c7, sk_c6) = sk_c5),
% 2.25/2.42 inference(transitivity,[status(thm)],[211, 197, 172, 157, 154, 140, 122])).
% 2.25/2.42 tff(213,plain,
% 2.25/2.42 ($false),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[123, 212])).
% 2.25/2.42 tff(214,plain,(multiply(sk_c7, sk_c6) = sk_c5), inference(lemma,lemma(discharge,[]))).
% 2.25/2.42 tff(215,assumption,(~(inverse(sk_c3) = sk_c7)), introduced(assumption)).
% 2.25/2.42 tff(216,plain,
% 2.25/2.42 (((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6))),
% 2.25/2.42 inference(rewrite,[status(thm)],[])).
% 2.25/2.42 tff(217,plain,
% 2.25/2.42 (((multiply(sk_c1, sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6))),
% 2.25/2.42 inference(rewrite,[status(thm)],[])).
% 2.25/2.42 tff(218,axiom,((multiply(sk_c1, sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_7')).
% 2.25/2.42 tff(219,plain,
% 2.25/2.42 ((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[218, 217])).
% 2.25/2.42 tff(220,plain,
% 2.25/2.42 ((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[219, 216])).
% 2.25/2.42 tff(221,plain,
% 2.25/2.42 (multiply(sk_c1, sk_c7) = sk_c6),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[220, 215])).
% 2.25/2.42 tff(222,plain,
% 2.25/2.42 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(sk_c7, sk_c6)),
% 2.25/2.42 inference(monotonicity,[status(thm)],[221])).
% 2.25/2.42 tff(223,plain,
% 2.25/2.42 (((inverse(sk_c1) = sk_c7) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c1) = sk_c7) | (inverse(sk_c3) = sk_c7))),
% 2.25/2.42 inference(rewrite,[status(thm)],[])).
% 2.25/2.42 tff(224,axiom,((inverse(sk_c1) = sk_c7) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_12')).
% 2.25/2.42 tff(225,plain,
% 2.25/2.42 ((inverse(sk_c1) = sk_c7) | (inverse(sk_c3) = sk_c7)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[224, 223])).
% 2.25/2.42 tff(226,plain,
% 2.25/2.42 (inverse(sk_c1) = sk_c7),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[225, 215])).
% 2.25/2.42 tff(227,plain,
% 2.25/2.42 (sk_c7 = inverse(sk_c1)),
% 2.25/2.42 inference(symmetry,[status(thm)],[226])).
% 2.25/2.42 tff(228,plain,
% 2.25/2.42 (multiply(sk_c7, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 2.25/2.42 inference(monotonicity,[status(thm)],[227])).
% 2.25/2.42 tff(229,plain,
% 2.25/2.42 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c7, sk_c1)),
% 2.25/2.42 inference(symmetry,[status(thm)],[228])).
% 2.25/2.42 tff(230,plain,
% 2.25/2.42 (identity = multiply(sk_c7, sk_c1)),
% 2.25/2.42 inference(transitivity,[status(thm)],[54, 229])).
% 2.25/2.42 tff(231,plain,
% 2.25/2.42 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 2.25/2.42 inference(monotonicity,[status(thm)],[230])).
% 2.25/2.42 tff(232,plain,
% 2.25/2.42 (inverse(sk_c1) = multiply(sk_c6, sk_c7)),
% 2.25/2.42 inference(transitivity,[status(thm)],[226, 57, 231, 37, 222, 214, 120])).
% 2.25/2.42 tff(233,plain,
% 2.25/2.42 ((inverse(sk_c1) = sk_c6) <=> (multiply(sk_c6, sk_c7) = sk_c6)),
% 2.25/2.42 inference(monotonicity,[status(thm)],[232])).
% 2.25/2.42 tff(234,plain,
% 2.25/2.42 ((~(inverse(sk_c1) = sk_c6)) <=> (~(multiply(sk_c6, sk_c7) = sk_c6))),
% 2.25/2.42 inference(monotonicity,[status(thm)],[233])).
% 2.25/2.42 tff(235,plain,
% 2.25/2.42 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(identity, sk_c7)),
% 2.25/2.42 inference(symmetry,[status(thm)],[231])).
% 2.25/2.42 tff(236,plain,
% 2.25/2.42 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 2.25/2.42 inference(symmetry,[status(thm)],[37])).
% 2.25/2.42 tff(237,plain,
% 2.25/2.42 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 2.25/2.42 inference(symmetry,[status(thm)],[222])).
% 2.25/2.42 tff(238,plain,
% 2.25/2.42 (sk_c5 = multiply(sk_c7, sk_c6)),
% 2.25/2.42 inference(symmetry,[status(thm)],[214])).
% 2.25/2.42 tff(239,plain,
% 2.25/2.42 (((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c5) = sk_c7)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c5) = sk_c7))),
% 2.25/2.42 inference(rewrite,[status(thm)],[])).
% 2.25/2.42 tff(240,plain,
% 2.25/2.42 (((multiply(sk_c2, sk_c5) = sk_c7) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c5) = sk_c7))),
% 2.25/2.42 inference(rewrite,[status(thm)],[])).
% 2.25/2.42 tff(241,axiom,((multiply(sk_c2, sk_c5) = sk_c7) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_17')).
% 2.25/2.42 tff(242,plain,
% 2.25/2.42 ((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c5) = sk_c7)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[241, 240])).
% 2.25/2.42 tff(243,plain,
% 2.25/2.42 ((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c5) = sk_c7)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[242, 239])).
% 2.25/2.42 tff(244,plain,
% 2.25/2.42 (multiply(sk_c2, sk_c5) = sk_c7),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[243, 215])).
% 2.25/2.42 tff(245,plain,
% 2.25/2.42 (multiply(sk_c6, multiply(sk_c2, sk_c5)) = multiply(sk_c6, sk_c7)),
% 2.25/2.42 inference(monotonicity,[status(thm)],[244])).
% 2.25/2.42 tff(246,plain,
% 2.25/2.42 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c2), sk_c5) = multiply(sk_c6, multiply(sk_c2, sk_c5)))),
% 2.25/2.42 inference(quant_inst,[status(thm)],[])).
% 2.25/2.42 tff(247,plain,
% 2.25/2.42 (multiply(multiply(sk_c6, sk_c2), sk_c5) = multiply(sk_c6, multiply(sk_c2, sk_c5))),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[246, 27])).
% 2.25/2.42 tff(248,plain,
% 2.25/2.42 (sk_c7 = sk_c5),
% 2.25/2.42 inference(transitivity,[status(thm)],[57, 231, 37, 222, 214])).
% 2.25/2.42 tff(249,plain,
% 2.25/2.42 (sk_c7 = multiply(sk_c2, sk_c5)),
% 2.25/2.42 inference(symmetry,[status(thm)],[244])).
% 2.25/2.42 tff(250,plain,
% 2.25/2.42 (multiply(sk_c1, sk_c7) = multiply(sk_c1, multiply(sk_c2, sk_c5))),
% 2.25/2.42 inference(monotonicity,[status(thm)],[249])).
% 2.25/2.42 tff(251,plain,
% 2.25/2.42 (multiply(sk_c1, multiply(sk_c2, sk_c5)) = multiply(sk_c1, sk_c7)),
% 2.25/2.42 inference(symmetry,[status(thm)],[250])).
% 2.25/2.42 tff(252,plain,
% 2.25/2.42 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c2), sk_c5) = multiply(sk_c1, multiply(sk_c2, sk_c5)))),
% 2.25/2.42 inference(quant_inst,[status(thm)],[])).
% 2.25/2.42 tff(253,plain,
% 2.25/2.42 (multiply(multiply(sk_c1, sk_c2), sk_c5) = multiply(sk_c1, multiply(sk_c2, sk_c5))),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[252, 27])).
% 2.25/2.42 tff(254,plain,
% 2.25/2.42 (multiply(multiply(sk_c1, sk_c2), sk_c5) = sk_c6),
% 2.25/2.42 inference(transitivity,[status(thm)],[253, 251, 221])).
% 2.25/2.42 tff(255,plain,
% 2.25/2.42 (multiply(multiply(multiply(sk_c1, sk_c2), sk_c5), sk_c2) = multiply(sk_c6, sk_c2)),
% 2.25/2.42 inference(monotonicity,[status(thm)],[254])).
% 2.25/2.42 tff(256,plain,
% 2.25/2.42 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, sk_c2), sk_c5), sk_c2) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c5, sk_c2)))),
% 2.25/2.42 inference(quant_inst,[status(thm)],[])).
% 2.25/2.42 tff(257,plain,
% 2.25/2.42 (multiply(multiply(multiply(sk_c1, sk_c2), sk_c5), sk_c2) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c5, sk_c2))),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[256, 27])).
% 2.25/2.42 tff(258,plain,
% 2.25/2.42 (multiply(multiply(sk_c1, sk_c2), multiply(sk_c5, sk_c2)) = multiply(multiply(multiply(sk_c1, sk_c2), sk_c5), sk_c2)),
% 2.25/2.42 inference(symmetry,[status(thm)],[257])).
% 2.25/2.42 tff(259,plain,
% 2.25/2.42 (((inverse(sk_c2) = sk_c5) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c2) = sk_c5) | (inverse(sk_c3) = sk_c7))),
% 2.25/2.42 inference(rewrite,[status(thm)],[])).
% 2.25/2.42 tff(260,axiom,((inverse(sk_c2) = sk_c5) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_22')).
% 2.25/2.42 tff(261,plain,
% 2.25/2.42 ((inverse(sk_c2) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[260, 259])).
% 2.25/2.42 tff(262,plain,
% 2.25/2.42 (inverse(sk_c2) = sk_c5),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[261, 215])).
% 2.25/2.42 tff(263,plain,
% 2.25/2.42 (sk_c5 = inverse(sk_c2)),
% 2.25/2.42 inference(symmetry,[status(thm)],[262])).
% 2.25/2.42 tff(264,plain,
% 2.25/2.42 (multiply(sk_c5, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 2.25/2.42 inference(monotonicity,[status(thm)],[263])).
% 2.25/2.42 tff(265,plain,
% 2.25/2.42 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c5, sk_c2)),
% 2.25/2.42 inference(symmetry,[status(thm)],[264])).
% 2.25/2.42 tff(266,plain,
% 2.25/2.42 (identity = multiply(inverse(sk_c2), sk_c2)),
% 2.25/2.42 inference(symmetry,[status(thm)],[60])).
% 2.25/2.42 tff(267,plain,
% 2.25/2.42 (identity = multiply(sk_c5, sk_c2)),
% 2.25/2.42 inference(transitivity,[status(thm)],[266, 265])).
% 2.25/2.42 tff(268,plain,
% 2.25/2.42 (multiply(multiply(sk_c1, sk_c2), identity) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c5, sk_c2))),
% 2.25/2.42 inference(monotonicity,[status(thm)],[267])).
% 2.25/2.42 tff(269,plain,
% 2.25/2.42 (multiply(multiply(sk_c1, sk_c2), identity) = multiply(sk_c6, sk_c2)),
% 2.25/2.42 inference(transitivity,[status(thm)],[268, 258, 255])).
% 2.25/2.42 tff(270,plain,
% 2.25/2.42 (multiply(multiply(multiply(sk_c1, sk_c2), identity), sk_c7) = multiply(multiply(sk_c6, sk_c2), sk_c5)),
% 2.25/2.42 inference(monotonicity,[status(thm)],[269, 248])).
% 2.25/2.42 tff(271,plain,
% 2.25/2.42 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, sk_c2), identity), sk_c7) = multiply(multiply(sk_c1, sk_c2), multiply(identity, sk_c7)))),
% 2.25/2.42 inference(quant_inst,[status(thm)],[])).
% 2.25/2.42 tff(272,plain,
% 2.25/2.42 (multiply(multiply(multiply(sk_c1, sk_c2), identity), sk_c7) = multiply(multiply(sk_c1, sk_c2), multiply(identity, sk_c7))),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[271, 27])).
% 2.25/2.42 tff(273,plain,
% 2.25/2.42 (multiply(multiply(sk_c1, sk_c2), multiply(identity, sk_c7)) = multiply(multiply(multiply(sk_c1, sk_c2), identity), sk_c7)),
% 2.25/2.42 inference(symmetry,[status(thm)],[272])).
% 2.25/2.42 tff(274,plain,
% 2.25/2.42 (multiply(multiply(sk_c1, sk_c2), sk_c7) = multiply(multiply(sk_c1, sk_c2), multiply(identity, sk_c7))),
% 2.25/2.42 inference(monotonicity,[status(thm)],[57])).
% 2.25/2.42 tff(275,plain,
% 2.25/2.42 (sk_c5 = sk_c7),
% 2.25/2.42 inference(transitivity,[status(thm)],[238, 237, 236, 235, 9])).
% 2.25/2.42 tff(276,plain,
% 2.25/2.42 (multiply(multiply(sk_c1, sk_c2), sk_c5) = multiply(multiply(sk_c1, sk_c2), sk_c7)),
% 2.25/2.42 inference(monotonicity,[status(thm)],[275])).
% 2.25/2.42 tff(277,plain,
% 2.25/2.42 (multiply(sk_c1, multiply(sk_c2, sk_c5)) = multiply(multiply(sk_c1, sk_c2), sk_c5)),
% 2.25/2.42 inference(symmetry,[status(thm)],[253])).
% 2.25/2.42 tff(278,plain,
% 2.25/2.42 (multiply(sk_c1, sk_c5) = multiply(sk_c1, sk_c7)),
% 2.25/2.42 inference(monotonicity,[status(thm)],[275])).
% 2.25/2.42 tff(279,plain,
% 2.25/2.42 (sk_c6 = multiply(sk_c1, sk_c7)),
% 2.25/2.42 inference(symmetry,[status(thm)],[221])).
% 2.25/2.42 tff(280,plain,
% 2.25/2.42 (sk_c6 = sk_c5),
% 2.25/2.42 inference(transitivity,[status(thm)],[279, 250, 277, 276, 274, 273, 270, 247, 245, 119])).
% 2.25/2.42 tff(281,plain,
% 2.25/2.42 (multiply(sk_c1, sk_c6) = multiply(sk_c1, sk_c5)),
% 2.25/2.42 inference(monotonicity,[status(thm)],[280])).
% 2.25/2.42 tff(282,plain,
% 2.25/2.42 (multiply(sk_c1, sk_c6) = sk_c7),
% 2.25/2.42 inference(transitivity,[status(thm)],[281, 278, 250, 277, 276, 274, 273, 270, 247, 245, 119, 238, 237, 236, 235, 9])).
% 2.25/2.42 tff(283,plain,
% 2.25/2.42 (multiply(sk_c1, sk_c5) = sk_c6),
% 2.25/2.42 inference(transitivity,[status(thm)],[278, 221])).
% 2.25/2.42 tff(284,plain,
% 2.25/2.42 (^[X4: $i, X3: $i, X2: $i, X1: $i] : refl(((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))),
% 2.25/2.42 inference(bind,[status(th)],[])).
% 2.25/2.42 tff(285,plain,
% 2.25/2.42 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 2.25/2.42 inference(quant_intro,[status(thm)],[284])).
% 2.25/2.42 tff(286,plain,
% 2.25/2.42 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 2.25/2.42 inference(rewrite,[status(thm)],[])).
% 2.25/2.42 tff(287,plain,
% 2.25/2.42 (^[X4: $i, X3: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c5) = sk_c7))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c5) = sk_c7))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c5) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c5) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), ((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c5) = sk_c7))) | (~(inverse(X4) = sk_c5))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c5))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c5))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), ((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c5) = sk_c7))) | (~(inverse(X4) = sk_c5))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), (((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c5) = sk_c7))) | (~(inverse(X4) = sk_c5))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(sk_c6, sk_c7) = sk_c5))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c5) = sk_c7))) | (~(inverse(X4) = sk_c5))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), ((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c5) = sk_c7))) | (~(inverse(X4) = sk_c5))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X1) = sk_c7))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X1) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), ((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c5) = sk_c7))) | (~(inverse(X4) = sk_c5))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), (((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c5) = sk_c7))) | (~(inverse(X4) = sk_c5))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X1, sk_c6) = sk_c7))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X1, sk_c6) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c5) = sk_c7))) | (~(inverse(X4) = sk_c5))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), ((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c5) = sk_c7))) | (~(inverse(X4) = sk_c5))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X2) = sk_c6))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X2) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), ((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c5) = sk_c7))) | (~(inverse(X4) = sk_c5))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), (((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c5) = sk_c7))) | (~(inverse(X4) = sk_c5))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(X2, sk_c5) = sk_c6))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X2, sk_c5) = sk_c6))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X2, sk_c5) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c5) = sk_c7))) | (~(inverse(X4) = sk_c5))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(X2, sk_c5) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))))),
% 2.25/2.43 inference(bind,[status(th)],[])).
% 2.25/2.43 tff(288,plain,
% 2.25/2.43 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c5) = sk_c7))) | (~(inverse(X4) = sk_c5))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(X2, sk_c5) = sk_c6))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 2.25/2.43 inference(quant_intro,[status(thm)],[287])).
% 2.25/2.43 tff(289,axiom,(![X4: $i, X3: $i, X2: $i, X1: $i] : ((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c5) = sk_c7))) | (~(inverse(X4) = sk_c5))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(X2, sk_c5) = sk_c6)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_26')).
% 2.25/2.43 tff(290,plain,
% 2.25/2.43 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 2.25/2.43 inference(modus_ponens,[status(thm)],[289, 288])).
% 2.25/2.43 tff(291,plain,
% 2.25/2.43 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 2.25/2.43 inference(modus_ponens,[status(thm)],[290, 286])).
% 2.25/2.43 tff(292,plain,(
% 2.25/2.43 ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 2.25/2.43 inference(skolemize,[status(sab)],[291])).
% 2.25/2.43 tff(293,plain,
% 2.25/2.43 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 2.25/2.43 inference(modus_ponens,[status(thm)],[292, 285])).
% 2.25/2.43 tff(294,plain,
% 2.25/2.43 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c7)))),
% 2.25/2.43 inference(rewrite,[status(thm)],[])).
% 2.25/2.43 tff(295,plain,
% 2.25/2.43 (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c2) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c7)))),
% 2.25/2.43 inference(rewrite,[status(thm)],[])).
% 2.25/2.43 tff(296,plain,
% 2.25/2.43 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c2) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c7))))),
% 2.25/2.43 inference(monotonicity,[status(thm)],[295])).
% 2.25/2.43 tff(297,plain,
% 2.25/2.43 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c2) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c7)))),
% 2.25/2.43 inference(transitivity,[status(thm)],[296, 294])).
% 2.25/2.43 tff(298,plain,
% 2.25/2.43 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c2) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)))),
% 2.25/2.43 inference(quant_inst,[status(thm)],[])).
% 2.25/2.43 tff(299,plain,
% 2.25/2.43 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c7))),
% 2.25/2.43 inference(modus_ponens,[status(thm)],[298, 297])).
% 2.25/2.43 tff(300,plain,
% 2.25/2.43 ((~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7))),
% 2.25/2.43 inference(unit_resolution,[status(thm)],[299, 214, 119, 221, 226, 244, 262, 293])).
% 2.25/2.43 tff(301,plain,
% 2.25/2.43 (~(inverse(sk_c1) = sk_c6)),
% 2.25/2.43 inference(unit_resolution,[status(thm)],[300, 283, 282])).
% 2.25/2.43 tff(302,plain,
% 2.25/2.43 (~(multiply(sk_c6, sk_c7) = sk_c6)),
% 2.25/2.43 inference(modus_ponens,[status(thm)],[301, 234])).
% 2.25/2.43 tff(303,plain,
% 2.25/2.43 (multiply(multiply(sk_c1, sk_c2), sk_c7) = multiply(multiply(sk_c1, sk_c2), sk_c5)),
% 2.25/2.43 inference(symmetry,[status(thm)],[276])).
% 2.25/2.43 tff(304,plain,
% 2.25/2.43 (multiply(multiply(sk_c1, sk_c2), multiply(identity, sk_c7)) = multiply(multiply(sk_c1, sk_c2), sk_c7)),
% 2.25/2.43 inference(symmetry,[status(thm)],[274])).
% 2.25/2.43 tff(305,plain,
% 2.25/2.43 (multiply(multiply(sk_c6, sk_c2), sk_c5) = multiply(multiply(multiply(sk_c1, sk_c2), identity), sk_c7)),
% 2.25/2.43 inference(symmetry,[status(thm)],[270])).
% 2.25/2.43 tff(306,plain,
% 2.25/2.43 (multiply(sk_c6, multiply(sk_c2, sk_c5)) = multiply(multiply(sk_c6, sk_c2), sk_c5)),
% 2.25/2.43 inference(symmetry,[status(thm)],[247])).
% 2.25/2.43 tff(307,plain,
% 2.25/2.43 (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c2, sk_c5))),
% 2.25/2.43 inference(symmetry,[status(thm)],[245])).
% 2.25/2.43 tff(308,plain,
% 2.25/2.43 (multiply(sk_c6, sk_c7) = sk_c6),
% 2.25/2.43 inference(transitivity,[status(thm)],[307, 306, 305, 272, 304, 303, 253, 251, 221])).
% 2.25/2.43 tff(309,plain,
% 2.25/2.43 ($false),
% 2.25/2.43 inference(unit_resolution,[status(thm)],[308, 302])).
% 2.25/2.43 tff(310,plain,(inverse(sk_c3) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 2.25/2.43 tff(311,plain,
% 2.25/2.43 (sk_c7 = inverse(sk_c3)),
% 2.25/2.43 inference(symmetry,[status(thm)],[310])).
% 2.25/2.43 tff(312,assumption,(~(inverse(sk_c1) = sk_c7)), introduced(assumption)).
% 2.25/2.43 tff(313,plain,
% 2.25/2.43 (((inverse(sk_c1) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((inverse(sk_c1) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 2.25/2.43 inference(rewrite,[status(thm)],[])).
% 2.25/2.43 tff(314,axiom,((inverse(sk_c1) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_13')).
% 2.25/2.43 tff(315,plain,
% 2.25/2.43 ((inverse(sk_c1) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 2.25/2.43 inference(modus_ponens,[status(thm)],[314, 313])).
% 2.25/2.43 tff(316,plain,
% 2.25/2.43 (multiply(sk_c3, sk_c6) = sk_c7),
% 2.25/2.43 inference(unit_resolution,[status(thm)],[315, 312])).
% 2.25/2.43 tff(317,plain,
% 2.25/2.43 (multiply(multiply(sk_c3, sk_c6), sk_c6) = multiply(sk_c7, sk_c6)),
% 2.25/2.43 inference(monotonicity,[status(thm)],[316])).
% 2.25/2.43 tff(318,plain,
% 2.25/2.43 (((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c5) = sk_c6)) <=> ((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c5) = sk_c6))),
% 2.25/2.43 inference(rewrite,[status(thm)],[])).
% 2.25/2.43 tff(319,axiom,((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c5) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_15')).
% 2.25/2.43 tff(320,plain,
% 2.25/2.43 ((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 2.25/2.43 inference(modus_ponens,[status(thm)],[319, 318])).
% 2.25/2.43 tff(321,plain,
% 2.25/2.43 (multiply(sk_c4, sk_c5) = sk_c6),
% 2.25/2.43 inference(unit_resolution,[status(thm)],[320, 312])).
% 2.25/2.43 tff(322,plain,
% 2.25/2.43 (sk_c6 = multiply(sk_c4, sk_c5)),
% 2.25/2.43 inference(symmetry,[status(thm)],[321])).
% 2.25/2.43 tff(323,plain,
% 2.25/2.43 (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(sk_c4, sk_c5))),
% 2.25/2.43 inference(monotonicity,[status(thm)],[322])).
% 2.25/2.43 tff(324,plain,
% 2.25/2.43 (multiply(sk_c6, multiply(sk_c4, sk_c5)) = multiply(sk_c6, sk_c6)),
% 2.25/2.43 inference(symmetry,[status(thm)],[323])).
% 2.25/2.43 tff(325,plain,
% 2.25/2.43 (((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c6)) <=> ((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c6))),
% 2.25/2.43 inference(rewrite,[status(thm)],[])).
% 2.25/2.43 tff(326,axiom,((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_14')).
% 2.25/2.43 tff(327,plain,
% 2.25/2.43 ((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c6)),
% 2.25/2.43 inference(modus_ponens,[status(thm)],[326, 325])).
% 2.25/2.43 tff(328,plain,
% 2.25/2.43 (inverse(sk_c4) = sk_c6),
% 2.25/2.43 inference(unit_resolution,[status(thm)],[327, 312])).
% 2.25/2.43 tff(329,plain,
% 2.25/2.43 (sk_c6 = inverse(sk_c4)),
% 2.25/2.43 inference(symmetry,[status(thm)],[328])).
% 2.25/2.43 tff(330,plain,
% 2.25/2.43 (multiply(sk_c6, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 2.25/2.43 inference(monotonicity,[status(thm)],[329])).
% 2.25/2.43 tff(331,plain,
% 2.25/2.43 (multiply(sk_c6, sk_c4) = identity),
% 2.25/2.43 inference(transitivity,[status(thm)],[330, 136])).
% 2.25/2.43 tff(332,plain,
% 2.25/2.43 (multiply(multiply(sk_c6, sk_c4), sk_c5) = multiply(identity, sk_c5)),
% 2.25/2.43 inference(monotonicity,[status(thm)],[331])).
% 2.25/2.43 tff(333,plain,
% 2.25/2.43 (multiply(identity, sk_c5) = multiply(multiply(sk_c6, sk_c4), sk_c5)),
% 2.25/2.43 inference(symmetry,[status(thm)],[332])).
% 2.25/2.43 tff(334,plain,
% 2.25/2.43 (sk_c5 = multiply(sk_c6, sk_c6)),
% 2.25/2.43 inference(transitivity,[status(thm)],[187, 333, 186, 324])).
% 2.25/2.43 tff(335,plain,
% 2.25/2.43 (multiply(sk_c3, sk_c5) = multiply(sk_c3, multiply(sk_c6, sk_c6))),
% 2.25/2.43 inference(monotonicity,[status(thm)],[334])).
% 2.25/2.43 tff(336,plain,
% 2.25/2.43 (multiply(sk_c3, sk_c5) = sk_c5),
% 2.25/2.43 inference(transitivity,[status(thm)],[335, 199, 317, 214])).
% 2.25/2.43 tff(337,plain,
% 2.25/2.43 ((multiply(sk_c3, sk_c5) = sk_c7) <=> (sk_c5 = inverse(sk_c3))),
% 2.25/2.43 inference(monotonicity,[status(thm)],[336, 311])).
% 2.25/2.43 tff(338,plain,
% 2.25/2.43 ((multiply(sk_c3, sk_c5) = sk_c7) <=> (inverse(sk_c3) = sk_c5)),
% 2.25/2.43 inference(transitivity,[status(thm)],[337, 10])).
% 2.25/2.43 tff(339,plain,
% 2.25/2.43 ((inverse(sk_c3) = sk_c5) <=> (multiply(sk_c3, sk_c5) = sk_c7)),
% 2.25/2.43 inference(symmetry,[status(thm)],[338])).
% 2.25/2.43 tff(340,plain,
% 2.25/2.43 (sk_c7 = multiply(sk_c3, sk_c6)),
% 2.25/2.43 inference(symmetry,[status(thm)],[316])).
% 2.25/2.43 tff(341,plain,
% 2.25/2.43 (multiply(sk_c7, sk_c7) = multiply(multiply(sk_c3, sk_c6), sk_c7)),
% 2.25/2.43 inference(monotonicity,[status(thm)],[340])).
% 2.25/2.43 tff(342,plain,
% 2.25/2.43 (multiply(sk_c3, sk_c6) = multiply(sk_c3, multiply(sk_c4, sk_c5))),
% 2.25/2.43 inference(monotonicity,[status(thm)],[322])).
% 2.25/2.43 tff(343,plain,
% 2.25/2.43 (multiply(sk_c3, multiply(sk_c4, sk_c5)) = multiply(sk_c3, sk_c6)),
% 2.25/2.43 inference(symmetry,[status(thm)],[342])).
% 2.25/2.43 tff(344,plain,
% 2.25/2.43 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c4), sk_c5) = multiply(sk_c3, multiply(sk_c4, sk_c5)))),
% 2.25/2.43 inference(quant_inst,[status(thm)],[])).
% 2.25/2.43 tff(345,plain,
% 2.25/2.43 (multiply(multiply(sk_c3, sk_c4), sk_c5) = multiply(sk_c3, multiply(sk_c4, sk_c5))),
% 2.25/2.43 inference(unit_resolution,[status(thm)],[344, 27])).
% 2.25/2.43 tff(346,plain,
% 2.25/2.43 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c4), sk_c5) = multiply(sk_c7, multiply(sk_c4, sk_c5)))),
% 2.25/2.43 inference(quant_inst,[status(thm)],[])).
% 2.25/2.43 tff(347,plain,
% 2.25/2.43 (multiply(multiply(sk_c7, sk_c4), sk_c5) = multiply(sk_c7, multiply(sk_c4, sk_c5))),
% 2.25/2.43 inference(unit_resolution,[status(thm)],[346, 27])).
% 2.25/2.43 tff(348,plain,
% 2.25/2.43 (multiply(sk_c7, multiply(sk_c4, sk_c5)) = multiply(multiply(sk_c7, sk_c4), sk_c5)),
% 2.25/2.43 inference(symmetry,[status(thm)],[347])).
% 2.25/2.43 tff(349,plain,
% 2.25/2.43 (multiply(sk_c7, multiply(sk_c4, sk_c5)) = multiply(sk_c7, sk_c6)),
% 2.25/2.43 inference(monotonicity,[status(thm)],[321])).
% 2.25/2.43 tff(350,plain,
% 2.25/2.43 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c4, sk_c5))),
% 2.25/2.43 inference(symmetry,[status(thm)],[349])).
% 2.25/2.43 tff(351,plain,
% 2.25/2.43 (sk_c5 = multiply(multiply(sk_c7, sk_c4), sk_c5)),
% 2.25/2.43 inference(transitivity,[status(thm)],[238, 350, 348])).
% 2.25/2.44 tff(352,plain,
% 2.25/2.44 (multiply(multiply(sk_c3, sk_c4), sk_c5) = multiply(multiply(sk_c3, sk_c4), multiply(multiply(sk_c7, sk_c4), sk_c5))),
% 2.25/2.44 inference(monotonicity,[status(thm)],[351])).
% 2.25/2.44 tff(353,plain,
% 2.25/2.44 (multiply(multiply(sk_c3, sk_c4), multiply(multiply(sk_c7, sk_c4), sk_c5)) = multiply(multiply(sk_c3, sk_c4), sk_c5)),
% 2.25/2.44 inference(symmetry,[status(thm)],[352])).
% 2.25/2.44 tff(354,plain,
% 2.25/2.44 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, sk_c4), multiply(sk_c7, sk_c4)), sk_c5) = multiply(multiply(sk_c3, sk_c4), multiply(multiply(sk_c7, sk_c4), sk_c5)))),
% 2.25/2.44 inference(quant_inst,[status(thm)],[])).
% 2.25/2.44 tff(355,plain,
% 2.25/2.44 (multiply(multiply(multiply(sk_c3, sk_c4), multiply(sk_c7, sk_c4)), sk_c5) = multiply(multiply(sk_c3, sk_c4), multiply(multiply(sk_c7, sk_c4), sk_c5))),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[354, 27])).
% 2.25/2.44 tff(356,plain,
% 2.25/2.44 (multiply(multiply(multiply(sk_c3, sk_c4), multiply(sk_c7, sk_c4)), sk_c5) = sk_c7),
% 2.25/2.44 inference(transitivity,[status(thm)],[355, 353, 345, 343, 316])).
% 2.25/2.44 tff(357,plain,
% 2.25/2.44 (multiply(multiply(multiply(multiply(sk_c3, sk_c4), multiply(sk_c7, sk_c4)), sk_c5), sk_c7) = multiply(sk_c7, sk_c7)),
% 2.25/2.44 inference(monotonicity,[status(thm)],[356])).
% 2.25/2.44 tff(358,plain,
% 2.25/2.44 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c3, sk_c4), multiply(sk_c7, sk_c4)), sk_c5), sk_c7) = multiply(multiply(multiply(sk_c3, sk_c4), multiply(sk_c7, sk_c4)), multiply(sk_c5, sk_c7)))),
% 2.25/2.44 inference(quant_inst,[status(thm)],[])).
% 2.25/2.44 tff(359,plain,
% 2.25/2.44 (multiply(multiply(multiply(multiply(sk_c3, sk_c4), multiply(sk_c7, sk_c4)), sk_c5), sk_c7) = multiply(multiply(multiply(sk_c3, sk_c4), multiply(sk_c7, sk_c4)), multiply(sk_c5, sk_c7))),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[358, 27])).
% 2.25/2.44 tff(360,plain,
% 2.25/2.44 (multiply(multiply(multiply(sk_c3, sk_c4), multiply(sk_c7, sk_c4)), multiply(sk_c5, sk_c7)) = multiply(multiply(multiply(multiply(sk_c3, sk_c4), multiply(sk_c7, sk_c4)), sk_c5), sk_c7)),
% 2.25/2.44 inference(symmetry,[status(thm)],[359])).
% 2.25/2.44 tff(361,plain,
% 2.25/2.44 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c3), sk_c6) = multiply(sk_c6, multiply(sk_c3, sk_c6)))),
% 2.25/2.44 inference(quant_inst,[status(thm)],[])).
% 2.25/2.44 tff(362,plain,
% 2.25/2.44 (multiply(multiply(sk_c6, sk_c3), sk_c6) = multiply(sk_c6, multiply(sk_c3, sk_c6))),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[361, 27])).
% 2.25/2.44 tff(363,plain,
% 2.25/2.44 (multiply(sk_c6, multiply(sk_c3, sk_c6)) = multiply(multiply(sk_c6, sk_c3), sk_c6)),
% 2.25/2.44 inference(symmetry,[status(thm)],[362])).
% 2.25/2.44 tff(364,plain,
% 2.25/2.44 (multiply(sk_c6, multiply(sk_c3, sk_c6)) = multiply(sk_c6, sk_c7)),
% 2.25/2.44 inference(monotonicity,[status(thm)],[316])).
% 2.25/2.44 tff(365,plain,
% 2.25/2.44 (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c3, sk_c6))),
% 2.25/2.44 inference(symmetry,[status(thm)],[364])).
% 2.25/2.44 tff(366,plain,
% 2.25/2.44 (sk_c5 = multiply(multiply(sk_c6, sk_c3), sk_c6)),
% 2.25/2.44 inference(transitivity,[status(thm)],[120, 365, 363])).
% 2.25/2.44 tff(367,plain,
% 2.25/2.44 (multiply(sk_c5, sk_c7) = multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c7)),
% 2.25/2.44 inference(monotonicity,[status(thm)],[366])).
% 2.25/2.44 tff(368,plain,
% 2.25/2.44 (multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c7) = multiply(sk_c5, sk_c7)),
% 2.25/2.44 inference(symmetry,[status(thm)],[367])).
% 2.25/2.44 tff(369,plain,
% 2.25/2.44 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c7) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c7)))),
% 2.25/2.44 inference(quant_inst,[status(thm)],[])).
% 2.25/2.44 tff(370,plain,
% 2.25/2.44 (multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c7) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c7))),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[369, 27])).
% 2.25/2.44 tff(371,plain,
% 2.25/2.44 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c7)) = multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c7)),
% 2.25/2.44 inference(symmetry,[status(thm)],[370])).
% 2.25/2.44 tff(372,plain,
% 2.25/2.44 (multiply(sk_c7, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 2.25/2.44 inference(monotonicity,[status(thm)],[311])).
% 2.25/2.44 tff(373,plain,
% 2.25/2.44 (multiply(inverse(sk_c3), sk_c3) = multiply(sk_c7, sk_c3)),
% 2.25/2.44 inference(symmetry,[status(thm)],[372])).
% 2.25/2.44 tff(374,plain,
% 2.25/2.44 (identity = multiply(sk_c7, sk_c3)),
% 2.25/2.44 inference(transitivity,[status(thm)],[204, 373])).
% 2.25/2.44 tff(375,plain,
% 2.25/2.44 (multiply(sk_c4, multiply(sk_c6, sk_c7)) = multiply(sk_c4, sk_c5)),
% 2.25/2.44 inference(monotonicity,[status(thm)],[119])).
% 2.25/2.44 tff(376,plain,
% 2.25/2.44 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c6), sk_c7) = multiply(sk_c4, multiply(sk_c6, sk_c7)))),
% 2.25/2.44 inference(quant_inst,[status(thm)],[])).
% 2.25/2.44 tff(377,plain,
% 2.25/2.44 (multiply(multiply(sk_c4, sk_c6), sk_c7) = multiply(sk_c4, multiply(sk_c6, sk_c7))),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[376, 27])).
% 2.25/2.44 tff(378,plain,
% 2.25/2.44 (multiply(multiply(sk_c4, sk_c6), sk_c7) = sk_c6),
% 2.25/2.44 inference(transitivity,[status(thm)],[377, 375, 321])).
% 2.25/2.44 tff(379,plain,
% 2.25/2.44 (multiply(sk_c4, multiply(multiply(sk_c4, sk_c6), sk_c7)) = multiply(sk_c4, sk_c6)),
% 2.25/2.44 inference(monotonicity,[status(thm)],[378])).
% 2.25/2.44 tff(380,plain,
% 2.25/2.44 (multiply(multiply(sk_c4, multiply(multiply(sk_c4, sk_c6), sk_c7)), identity) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))),
% 2.25/2.44 inference(monotonicity,[status(thm)],[379, 374])).
% 2.25/2.44 tff(381,plain,
% 2.25/2.44 (multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)) = multiply(multiply(sk_c4, multiply(multiply(sk_c4, sk_c6), sk_c7)), identity)),
% 2.25/2.44 inference(symmetry,[status(thm)],[380])).
% 2.25/2.44 tff(382,plain,
% 2.25/2.44 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c6), sk_c7), sk_c3) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)))),
% 2.25/2.44 inference(quant_inst,[status(thm)],[])).
% 2.25/2.44 tff(383,plain,
% 2.25/2.44 (multiply(multiply(multiply(sk_c4, sk_c6), sk_c7), sk_c3) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[382, 27])).
% 2.25/2.44 tff(384,plain,
% 2.25/2.44 (multiply(multiply(multiply(sk_c4, sk_c6), sk_c7), sk_c3) = multiply(sk_c6, sk_c3)),
% 2.25/2.44 inference(monotonicity,[status(thm)],[378])).
% 2.25/2.44 tff(385,plain,
% 2.25/2.44 (multiply(sk_c6, sk_c3) = multiply(multiply(multiply(sk_c4, sk_c6), sk_c7), sk_c3)),
% 2.25/2.44 inference(symmetry,[status(thm)],[384])).
% 2.25/2.44 tff(386,plain,
% 2.25/2.44 (multiply(sk_c6, sk_c3) = multiply(multiply(sk_c4, multiply(multiply(sk_c4, sk_c6), sk_c7)), identity)),
% 2.25/2.44 inference(transitivity,[status(thm)],[385, 383, 381])).
% 2.25/2.44 tff(387,plain,
% 2.25/2.44 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c7)) = multiply(multiply(multiply(sk_c4, multiply(multiply(sk_c4, sk_c6), sk_c7)), identity), sk_c5)),
% 2.25/2.44 inference(monotonicity,[status(thm)],[386, 119])).
% 2.25/2.44 tff(388,plain,
% 2.25/2.44 (multiply(multiply(multiply(sk_c4, multiply(multiply(sk_c4, sk_c6), sk_c7)), identity), sk_c5) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c7))),
% 2.25/2.44 inference(symmetry,[status(thm)],[387])).
% 2.25/2.44 tff(389,plain,
% 2.25/2.44 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, multiply(multiply(sk_c4, sk_c6), sk_c7)), identity), sk_c5) = multiply(multiply(sk_c4, multiply(multiply(sk_c4, sk_c6), sk_c7)), multiply(identity, sk_c5)))),
% 2.25/2.44 inference(quant_inst,[status(thm)],[])).
% 2.25/2.44 tff(390,plain,
% 2.25/2.44 (multiply(multiply(multiply(sk_c4, multiply(multiply(sk_c4, sk_c6), sk_c7)), identity), sk_c5) = multiply(multiply(sk_c4, multiply(multiply(sk_c4, sk_c6), sk_c7)), multiply(identity, sk_c5))),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[389, 27])).
% 2.25/2.44 tff(391,plain,
% 2.25/2.44 (multiply(multiply(sk_c4, multiply(multiply(sk_c4, sk_c6), sk_c7)), multiply(identity, sk_c5)) = multiply(multiply(multiply(sk_c4, multiply(multiply(sk_c4, sk_c6), sk_c7)), identity), sk_c5)),
% 2.25/2.44 inference(symmetry,[status(thm)],[390])).
% 2.25/2.44 tff(392,plain,
% 2.25/2.44 (multiply(identity, sk_c5) = multiply(sk_c7, sk_c6)),
% 2.25/2.44 inference(transitivity,[status(thm)],[122, 238])).
% 2.25/2.44 tff(393,plain,
% 2.25/2.44 (multiply(multiply(sk_c4, multiply(multiply(sk_c4, sk_c6), sk_c7)), multiply(identity, sk_c5)) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c6))),
% 2.25/2.44 inference(monotonicity,[status(thm)],[379, 392])).
% 2.25/2.44 tff(394,plain,
% 2.25/2.44 (multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c4, multiply(multiply(sk_c4, sk_c6), sk_c7)), multiply(identity, sk_c5))),
% 2.25/2.44 inference(symmetry,[status(thm)],[393])).
% 2.25/2.44 tff(395,plain,
% 2.25/2.44 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c6), sk_c7), sk_c6) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c6)))),
% 2.25/2.44 inference(quant_inst,[status(thm)],[])).
% 2.25/2.44 tff(396,plain,
% 2.25/2.44 (multiply(multiply(multiply(sk_c4, sk_c6), sk_c7), sk_c6) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c6))),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[395, 27])).
% 2.25/2.44 tff(397,plain,
% 2.25/2.44 (multiply(multiply(multiply(sk_c4, sk_c6), sk_c7), sk_c6) = multiply(sk_c6, sk_c6)),
% 2.25/2.44 inference(monotonicity,[status(thm)],[378])).
% 2.25/2.44 tff(398,plain,
% 2.25/2.44 (multiply(sk_c6, sk_c6) = multiply(multiply(multiply(sk_c4, sk_c6), sk_c7), sk_c6)),
% 2.25/2.44 inference(symmetry,[status(thm)],[397])).
% 2.25/2.44 tff(399,plain,
% 2.25/2.44 (sk_c5 = multiply(sk_c5, sk_c7)),
% 2.25/2.44 inference(transitivity,[status(thm)],[187, 333, 186, 324, 398, 396, 394, 391, 388, 371, 368])).
% 2.25/2.44 tff(400,plain,
% 2.25/2.44 (multiply(multiply(multiply(sk_c3, sk_c4), multiply(sk_c7, sk_c4)), sk_c5) = multiply(multiply(multiply(sk_c3, sk_c4), multiply(sk_c7, sk_c4)), multiply(sk_c5, sk_c7))),
% 2.25/2.44 inference(monotonicity,[status(thm)],[399])).
% 2.25/2.44 tff(401,plain,
% 2.25/2.44 (multiply(multiply(sk_c3, sk_c4), multiply(multiply(sk_c7, sk_c4), sk_c5)) = multiply(multiply(multiply(sk_c3, sk_c4), multiply(sk_c7, sk_c4)), sk_c5)),
% 2.25/2.44 inference(symmetry,[status(thm)],[355])).
% 2.25/2.44 tff(402,plain,
% 2.25/2.44 (multiply(sk_c3, multiply(sk_c4, sk_c5)) = multiply(multiply(sk_c3, sk_c4), sk_c5)),
% 2.25/2.44 inference(symmetry,[status(thm)],[345])).
% 2.25/2.44 tff(403,plain,
% 2.25/2.44 (inverse(sk_c3) = sk_c5),
% 2.25/2.44 inference(transitivity,[status(thm)],[310, 340, 342, 402, 352, 401, 400, 360, 357, 341, 160, 158, 335, 199, 317, 214])).
% 2.25/2.44 tff(404,plain,
% 2.25/2.44 (multiply(sk_c3, sk_c5) = sk_c7),
% 2.25/2.44 inference(modus_ponens,[status(thm)],[403, 339])).
% 2.25/2.44 tff(405,plain,
% 2.25/2.44 (multiply(multiply(sk_c4, sk_c5), sk_c7) = multiply(sk_c6, sk_c7)),
% 2.25/2.44 inference(monotonicity,[status(thm)],[321])).
% 2.25/2.44 tff(406,plain,
% 2.25/2.44 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c5), sk_c7) = multiply(sk_c4, multiply(sk_c5, sk_c7)))),
% 2.25/2.44 inference(quant_inst,[status(thm)],[])).
% 2.25/2.44 tff(407,plain,
% 2.25/2.44 (multiply(multiply(sk_c4, sk_c5), sk_c7) = multiply(sk_c4, multiply(sk_c5, sk_c7))),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[406, 27])).
% 2.25/2.44 tff(408,plain,
% 2.25/2.44 (multiply(sk_c4, multiply(sk_c5, sk_c7)) = multiply(multiply(sk_c4, sk_c5), sk_c7)),
% 2.25/2.44 inference(symmetry,[status(thm)],[407])).
% 2.25/2.44 tff(409,plain,
% 2.25/2.44 (multiply(sk_c4, sk_c5) = multiply(sk_c4, multiply(sk_c5, sk_c7))),
% 2.25/2.44 inference(monotonicity,[status(thm)],[399])).
% 2.25/2.44 tff(410,plain,
% 2.25/2.44 (sk_c6 = sk_c5),
% 2.25/2.44 inference(transitivity,[status(thm)],[322, 409, 408, 405, 119])).
% 2.25/2.44 tff(411,plain,
% 2.25/2.44 ((inverse(sk_c3) = sk_c6) <=> (inverse(sk_c3) = sk_c5)),
% 2.25/2.44 inference(monotonicity,[status(thm)],[410])).
% 2.25/2.44 tff(412,plain,
% 2.25/2.44 ((inverse(sk_c3) = sk_c5) <=> (inverse(sk_c3) = sk_c6)),
% 2.25/2.44 inference(symmetry,[status(thm)],[411])).
% 2.25/2.44 tff(413,plain,
% 2.25/2.44 (inverse(sk_c3) = sk_c6),
% 2.25/2.44 inference(modus_ponens,[status(thm)],[403, 412])).
% 2.25/2.44 tff(414,plain,
% 2.25/2.44 (multiply(sk_c4, multiply(sk_c5, sk_c7)) = multiply(sk_c4, sk_c5)),
% 2.25/2.44 inference(symmetry,[status(thm)],[409])).
% 2.25/2.44 tff(415,plain,
% 2.25/2.44 (multiply(sk_c6, sk_c7) = multiply(multiply(sk_c4, sk_c5), sk_c7)),
% 2.25/2.44 inference(symmetry,[status(thm)],[405])).
% 2.25/2.44 tff(416,plain,
% 2.25/2.44 (sk_c7 = sk_c5),
% 2.25/2.44 inference(transitivity,[status(thm)],[340, 342, 402, 352, 401, 400, 360, 357, 341, 160, 158, 335, 199, 317, 214])).
% 2.25/2.44 tff(417,plain,
% 2.25/2.44 (multiply(sk_c3, sk_c7) = multiply(sk_c3, sk_c5)),
% 2.25/2.44 inference(monotonicity,[status(thm)],[416])).
% 2.25/2.44 tff(418,plain,
% 2.25/2.44 (multiply(sk_c3, sk_c7) = sk_c6),
% 2.25/2.44 inference(transitivity,[status(thm)],[417, 335, 199, 317, 214, 120, 415, 407, 414, 321])).
% 2.25/2.44 tff(419,plain,
% 2.25/2.44 (multiply(sk_c3, sk_c5) = multiply(sk_c6, sk_c7)),
% 2.25/2.44 inference(transitivity,[status(thm)],[335, 199, 317, 214, 120])).
% 2.25/2.44 tff(420,plain,
% 2.25/2.44 ((multiply(sk_c3, sk_c5) = sk_c6) <=> (multiply(sk_c6, sk_c7) = sk_c6)),
% 2.25/2.44 inference(monotonicity,[status(thm)],[419])).
% 2.25/2.44 tff(421,plain,
% 2.25/2.44 ((multiply(sk_c6, sk_c7) = sk_c6) <=> (multiply(sk_c3, sk_c5) = sk_c6)),
% 2.25/2.44 inference(symmetry,[status(thm)],[420])).
% 2.25/2.44 tff(422,plain,
% 2.25/2.44 (multiply(sk_c6, sk_c7) = sk_c6),
% 2.25/2.44 inference(transitivity,[status(thm)],[415, 407, 414, 321])).
% 2.25/2.44 tff(423,plain,
% 2.25/2.44 (multiply(sk_c3, sk_c5) = sk_c6),
% 2.25/2.44 inference(modus_ponens,[status(thm)],[422, 421])).
% 2.25/2.44 tff(424,plain,
% 2.25/2.44 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c5)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c5) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c5)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c5) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)))),
% 2.25/2.44 inference(rewrite,[status(thm)],[])).
% 2.25/2.44 tff(425,plain,
% 2.25/2.44 (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c5)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c5) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)))),
% 2.25/2.44 inference(rewrite,[status(thm)],[])).
% 2.25/2.44 tff(426,plain,
% 2.25/2.44 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c5)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c5) = sk_c7)) | (~(inverse(sk_c3) = sk_c7))))),
% 2.25/2.44 inference(monotonicity,[status(thm)],[425])).
% 2.25/2.44 tff(427,plain,
% 2.25/2.44 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c5)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c5) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)))),
% 2.25/2.44 inference(transitivity,[status(thm)],[426, 424])).
% 2.25/2.44 tff(428,plain,
% 2.25/2.44 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)))),
% 2.30/2.44 inference(quant_inst,[status(thm)],[])).
% 2.30/2.44 tff(429,plain,
% 2.30/2.44 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c5)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c5) = sk_c7)) | (~(inverse(sk_c3) = sk_c7))),
% 2.30/2.44 inference(modus_ponens,[status(thm)],[428, 427])).
% 2.30/2.44 tff(430,plain,
% 2.30/2.44 ((~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c5)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c5) = sk_c7))),
% 2.30/2.44 inference(unit_resolution,[status(thm)],[429, 214, 119, 310, 293])).
% 2.30/2.44 tff(431,plain,
% 2.30/2.44 ($false),
% 2.30/2.44 inference(unit_resolution,[status(thm)],[430, 423, 403, 316, 418, 413, 404])).
% 2.30/2.44 tff(432,plain,(inverse(sk_c1) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 2.30/2.44 tff(433,plain,
% 2.30/2.44 (sk_c7 = inverse(sk_c1)),
% 2.30/2.44 inference(symmetry,[status(thm)],[432])).
% 2.30/2.44 tff(434,plain,
% 2.30/2.44 (multiply(sk_c7, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 2.30/2.44 inference(monotonicity,[status(thm)],[433])).
% 2.30/2.44 tff(435,plain,
% 2.30/2.44 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c7, sk_c1)),
% 2.30/2.44 inference(symmetry,[status(thm)],[434])).
% 2.30/2.44 tff(436,plain,
% 2.30/2.44 (identity = multiply(sk_c7, sk_c1)),
% 2.30/2.44 inference(transitivity,[status(thm)],[54, 435])).
% 2.30/2.44 tff(437,plain,
% 2.30/2.44 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 2.30/2.44 inference(monotonicity,[status(thm)],[436])).
% 2.30/2.44 tff(438,plain,
% 2.30/2.44 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(identity, sk_c7)),
% 2.30/2.44 inference(symmetry,[status(thm)],[437])).
% 2.30/2.44 tff(439,plain,
% 2.30/2.44 ((sk_c6 = multiply(sk_c6, sk_c7)) <=> (multiply(sk_c6, sk_c7) = sk_c6)),
% 2.30/2.44 inference(commutativity,[status(thm)],[])).
% 2.30/2.44 tff(440,assumption,(~(multiply(sk_c3, sk_c6) = sk_c7)), introduced(assumption)).
% 2.30/2.44 tff(441,plain,
% 2.30/2.44 (((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 2.30/2.44 inference(rewrite,[status(thm)],[])).
% 2.30/2.44 tff(442,axiom,((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_8')).
% 2.30/2.44 tff(443,plain,
% 2.30/2.44 ((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 2.30/2.44 inference(modus_ponens,[status(thm)],[442, 441])).
% 2.30/2.44 tff(444,plain,
% 2.30/2.44 (multiply(sk_c1, sk_c7) = sk_c6),
% 2.30/2.44 inference(unit_resolution,[status(thm)],[443, 440])).
% 2.30/2.44 tff(445,plain,
% 2.30/2.44 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(sk_c7, sk_c6)),
% 2.30/2.44 inference(monotonicity,[status(thm)],[444])).
% 2.30/2.44 tff(446,plain,
% 2.30/2.44 (sk_c7 = multiply(sk_c6, sk_c7)),
% 2.30/2.44 inference(transitivity,[status(thm)],[57, 437, 37, 445, 214, 120])).
% 2.30/2.44 tff(447,plain,
% 2.30/2.44 (((multiply(sk_c2, sk_c5) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((multiply(sk_c2, sk_c5) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 2.30/2.44 inference(rewrite,[status(thm)],[])).
% 2.30/2.44 tff(448,axiom,((multiply(sk_c2, sk_c5) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_18')).
% 2.30/2.44 tff(449,plain,
% 2.30/2.44 ((multiply(sk_c2, sk_c5) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 2.30/2.44 inference(modus_ponens,[status(thm)],[448, 447])).
% 2.30/2.44 tff(450,plain,
% 2.30/2.44 (multiply(sk_c2, sk_c5) = sk_c7),
% 2.30/2.44 inference(unit_resolution,[status(thm)],[449, 440])).
% 2.30/2.44 tff(451,plain,
% 2.30/2.44 (sk_c7 = multiply(sk_c2, sk_c5)),
% 2.30/2.44 inference(symmetry,[status(thm)],[450])).
% 2.30/2.44 tff(452,plain,
% 2.30/2.44 (multiply(sk_c1, sk_c7) = multiply(sk_c1, multiply(sk_c2, sk_c5))),
% 2.30/2.44 inference(monotonicity,[status(thm)],[451])).
% 2.30/2.44 tff(453,plain,
% 2.30/2.44 (multiply(sk_c1, multiply(sk_c2, sk_c5)) = multiply(sk_c1, sk_c7)),
% 2.30/2.44 inference(symmetry,[status(thm)],[452])).
% 2.30/2.44 tff(454,plain,
% 2.30/2.44 (multiply(multiply(sk_c1, sk_c2), multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c1, sk_c2), sk_c5)),
% 2.30/2.44 inference(monotonicity,[status(thm)],[214])).
% 2.30/2.44 tff(455,plain,
% 2.30/2.44 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, sk_c2), sk_c7), sk_c6) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c7, sk_c6)))),
% 2.30/2.44 inference(quant_inst,[status(thm)],[])).
% 2.30/2.44 tff(456,plain,
% 2.30/2.44 (multiply(multiply(multiply(sk_c1, sk_c2), sk_c7), sk_c6) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c7, sk_c6))),
% 2.30/2.44 inference(unit_resolution,[status(thm)],[455, 27])).
% 2.30/2.44 tff(457,plain,
% 2.30/2.44 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 2.30/2.44 inference(symmetry,[status(thm)],[445])).
% 2.30/2.44 tff(458,plain,
% 2.30/2.44 (sk_c5 = sk_c7),
% 2.30/2.44 inference(transitivity,[status(thm)],[238, 457, 236, 438, 9])).
% 2.30/2.44 tff(459,plain,
% 2.30/2.44 (multiply(multiply(sk_c1, sk_c2), sk_c5) = multiply(multiply(sk_c1, sk_c2), sk_c7)),
% 2.30/2.44 inference(monotonicity,[status(thm)],[458])).
% 2.30/2.44 tff(460,plain,
% 2.30/2.44 (sk_c6 = multiply(sk_c1, sk_c7)),
% 2.30/2.44 inference(symmetry,[status(thm)],[444])).
% 2.30/2.44 tff(461,plain,
% 2.30/2.44 (sk_c6 = multiply(multiply(sk_c1, sk_c2), sk_c7)),
% 2.30/2.44 inference(transitivity,[status(thm)],[460, 452, 277, 459])).
% 2.30/2.44 tff(462,plain,
% 2.30/2.44 (multiply(sk_c6, sk_c6) = multiply(multiply(multiply(sk_c1, sk_c2), sk_c7), sk_c6)),
% 2.30/2.44 inference(monotonicity,[status(thm)],[461])).
% 2.30/2.44 tff(463,plain,
% 2.30/2.44 (multiply(sk_c6, sk_c6) = sk_c6),
% 2.30/2.44 inference(transitivity,[status(thm)],[462, 456, 454, 253, 453, 444])).
% 2.30/2.44 tff(464,plain,
% 2.30/2.44 ((multiply(sk_c6, sk_c6) = sk_c7) <=> (sk_c6 = multiply(sk_c6, sk_c7))),
% 2.30/2.44 inference(monotonicity,[status(thm)],[463, 446])).
% 2.30/2.44 tff(465,plain,
% 2.30/2.44 ((multiply(sk_c6, sk_c6) = sk_c7) <=> (multiply(sk_c6, sk_c7) = sk_c6)),
% 2.30/2.44 inference(transitivity,[status(thm)],[464, 439])).
% 2.30/2.44 tff(466,plain,
% 2.30/2.44 ((multiply(sk_c6, sk_c7) = sk_c6) <=> (multiply(sk_c6, sk_c6) = sk_c7)),
% 2.30/2.44 inference(symmetry,[status(thm)],[465])).
% 2.30/2.44 tff(467,plain,
% 2.30/2.44 (multiply(sk_c6, sk_c7) = inverse(sk_c3)),
% 2.30/2.44 inference(transitivity,[status(thm)],[119, 238, 457, 236, 438, 9, 311])).
% 2.30/2.44 tff(468,plain,
% 2.30/2.44 ((multiply(sk_c6, sk_c7) = sk_c6) <=> (inverse(sk_c3) = sk_c6)),
% 2.30/2.44 inference(monotonicity,[status(thm)],[467])).
% 2.30/2.44 tff(469,plain,
% 2.30/2.44 ((inverse(sk_c3) = sk_c6) <=> (multiply(sk_c6, sk_c7) = sk_c6)),
% 2.30/2.44 inference(symmetry,[status(thm)],[468])).
% 2.30/2.44 tff(470,plain,
% 2.30/2.44 (inverse(sk_c1) = inverse(sk_c3)),
% 2.30/2.44 inference(transitivity,[status(thm)],[432, 311])).
% 2.30/2.44 tff(471,plain,
% 2.30/2.44 ((inverse(sk_c1) = sk_c6) <=> (inverse(sk_c3) = sk_c6)),
% 2.30/2.44 inference(monotonicity,[status(thm)],[470])).
% 2.30/2.44 tff(472,plain,
% 2.30/2.44 ((inverse(sk_c1) = sk_c6) <=> (multiply(sk_c6, sk_c6) = sk_c7)),
% 2.30/2.44 inference(transitivity,[status(thm)],[471, 469, 466])).
% 2.30/2.44 tff(473,plain,
% 2.30/2.44 ((~(inverse(sk_c1) = sk_c6)) <=> (~(multiply(sk_c6, sk_c6) = sk_c7))),
% 2.30/2.44 inference(monotonicity,[status(thm)],[472])).
% 2.30/2.44 tff(474,plain,
% 2.30/2.44 (multiply(sk_c1, sk_c5) = multiply(sk_c1, sk_c7)),
% 2.30/2.44 inference(monotonicity,[status(thm)],[458])).
% 2.30/2.44 tff(475,plain,
% 2.30/2.44 (multiply(sk_c1, sk_c5) = sk_c6),
% 2.30/2.44 inference(transitivity,[status(thm)],[474, 444])).
% 2.30/2.44 tff(476,plain,
% 2.30/2.44 (multiply(sk_c6, multiply(sk_c2, sk_c5)) = multiply(sk_c6, sk_c7)),
% 2.30/2.44 inference(monotonicity,[status(thm)],[450])).
% 2.30/2.44 tff(477,plain,
% 2.30/2.44 (sk_c7 = sk_c5),
% 2.30/2.44 inference(transitivity,[status(thm)],[57, 437, 37, 445, 214])).
% 2.30/2.44 tff(478,plain,
% 2.30/2.44 (multiply(multiply(sk_c1, sk_c2), sk_c5) = sk_c6),
% 2.30/2.44 inference(transitivity,[status(thm)],[253, 453, 444])).
% 2.30/2.44 tff(479,plain,
% 2.30/2.44 (multiply(multiply(multiply(sk_c1, sk_c2), sk_c5), sk_c2) = multiply(sk_c6, sk_c2)),
% 2.30/2.44 inference(monotonicity,[status(thm)],[478])).
% 2.30/2.44 tff(480,plain,
% 2.30/2.45 (((inverse(sk_c2) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((inverse(sk_c2) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 2.30/2.45 inference(rewrite,[status(thm)],[])).
% 2.30/2.45 tff(481,axiom,((inverse(sk_c2) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_23')).
% 2.30/2.45 tff(482,plain,
% 2.30/2.45 ((inverse(sk_c2) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 2.30/2.45 inference(modus_ponens,[status(thm)],[481, 480])).
% 2.30/2.45 tff(483,plain,
% 2.30/2.45 (inverse(sk_c2) = sk_c5),
% 2.30/2.45 inference(unit_resolution,[status(thm)],[482, 440])).
% 2.30/2.45 tff(484,plain,
% 2.30/2.45 (sk_c5 = inverse(sk_c2)),
% 2.30/2.45 inference(symmetry,[status(thm)],[483])).
% 2.30/2.45 tff(485,plain,
% 2.30/2.45 (multiply(sk_c5, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 2.30/2.45 inference(monotonicity,[status(thm)],[484])).
% 2.30/2.45 tff(486,plain,
% 2.30/2.45 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c5, sk_c2)),
% 2.30/2.45 inference(symmetry,[status(thm)],[485])).
% 2.30/2.45 tff(487,plain,
% 2.30/2.45 (identity = multiply(sk_c5, sk_c2)),
% 2.30/2.45 inference(transitivity,[status(thm)],[266, 486])).
% 2.30/2.45 tff(488,plain,
% 2.30/2.45 (multiply(multiply(sk_c1, sk_c2), identity) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c5, sk_c2))),
% 2.30/2.45 inference(monotonicity,[status(thm)],[487])).
% 2.30/2.45 tff(489,plain,
% 2.30/2.45 (multiply(multiply(sk_c1, sk_c2), identity) = multiply(sk_c6, sk_c2)),
% 2.30/2.45 inference(transitivity,[status(thm)],[488, 258, 479])).
% 2.30/2.45 tff(490,plain,
% 2.30/2.45 (multiply(multiply(multiply(sk_c1, sk_c2), identity), sk_c7) = multiply(multiply(sk_c6, sk_c2), sk_c5)),
% 2.30/2.45 inference(monotonicity,[status(thm)],[489, 477])).
% 2.30/2.45 tff(491,plain,
% 2.30/2.45 (sk_c6 = sk_c5),
% 2.30/2.45 inference(transitivity,[status(thm)],[460, 452, 277, 459, 274, 273, 490, 247, 476, 119])).
% 2.30/2.45 tff(492,plain,
% 2.30/2.45 (multiply(sk_c1, sk_c6) = multiply(sk_c1, sk_c5)),
% 2.30/2.45 inference(monotonicity,[status(thm)],[491])).
% 2.30/2.45 tff(493,plain,
% 2.30/2.45 (multiply(sk_c1, sk_c6) = sk_c7),
% 2.30/2.45 inference(transitivity,[status(thm)],[492, 474, 452, 277, 459, 274, 273, 490, 247, 476, 119, 238, 457, 236, 438, 9])).
% 2.30/2.45 tff(494,plain,
% 2.30/2.45 ((~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7))),
% 2.30/2.45 inference(unit_resolution,[status(thm)],[299, 214, 119, 444, 432, 450, 483, 293])).
% 2.30/2.45 tff(495,plain,
% 2.30/2.45 (~(inverse(sk_c1) = sk_c6)),
% 2.30/2.45 inference(unit_resolution,[status(thm)],[494, 493, 475])).
% 2.30/2.45 tff(496,plain,
% 2.30/2.45 (~(multiply(sk_c6, sk_c6) = sk_c7)),
% 2.30/2.45 inference(modus_ponens,[status(thm)],[495, 473])).
% 2.30/2.45 tff(497,plain,
% 2.30/2.45 (multiply(multiply(sk_c1, sk_c2), sk_c7) = multiply(multiply(sk_c1, sk_c2), sk_c5)),
% 2.30/2.45 inference(symmetry,[status(thm)],[459])).
% 2.30/2.45 tff(498,plain,
% 2.30/2.45 (multiply(multiply(sk_c6, sk_c2), sk_c5) = multiply(multiply(multiply(sk_c1, sk_c2), identity), sk_c7)),
% 2.30/2.45 inference(symmetry,[status(thm)],[490])).
% 2.30/2.45 tff(499,plain,
% 2.30/2.45 (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c2, sk_c5))),
% 2.30/2.45 inference(symmetry,[status(thm)],[476])).
% 2.30/2.45 tff(500,plain,
% 2.30/2.45 (multiply(sk_c6, sk_c7) = sk_c6),
% 2.30/2.45 inference(transitivity,[status(thm)],[499, 306, 498, 272, 304, 497, 253, 453, 444])).
% 2.30/2.45 tff(501,plain,
% 2.30/2.45 (multiply(sk_c6, sk_c6) = sk_c7),
% 2.30/2.45 inference(modus_ponens,[status(thm)],[500, 466])).
% 2.30/2.45 tff(502,plain,
% 2.30/2.45 ($false),
% 2.30/2.45 inference(unit_resolution,[status(thm)],[501, 496])).
% 2.30/2.45 tff(503,plain,(multiply(sk_c3, sk_c6) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 2.30/2.45 tff(504,plain,
% 2.30/2.45 (multiply(multiply(sk_c3, sk_c6), sk_c6) = multiply(sk_c7, sk_c6)),
% 2.30/2.45 inference(monotonicity,[status(thm)],[503])).
% 2.30/2.45 tff(505,assumption,(~(multiply(sk_c1, sk_c7) = sk_c6)), introduced(assumption)).
% 2.30/2.45 tff(506,plain,
% 2.30/2.45 (((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c5) = sk_c6)) <=> ((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c5) = sk_c6))),
% 2.30/2.45 inference(rewrite,[status(thm)],[])).
% 2.30/2.45 tff(507,axiom,((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c5) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_10')).
% 2.30/2.45 tff(508,plain,
% 2.30/2.45 ((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 2.30/2.45 inference(modus_ponens,[status(thm)],[507, 506])).
% 2.30/2.45 tff(509,plain,
% 2.30/2.45 (multiply(sk_c4, sk_c5) = sk_c6),
% 2.30/2.45 inference(unit_resolution,[status(thm)],[508, 505])).
% 2.30/2.45 tff(510,plain,
% 2.30/2.45 (sk_c6 = multiply(sk_c4, sk_c5)),
% 2.30/2.45 inference(symmetry,[status(thm)],[509])).
% 2.30/2.45 tff(511,plain,
% 2.30/2.45 (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(sk_c4, sk_c5))),
% 2.30/2.45 inference(monotonicity,[status(thm)],[510])).
% 2.30/2.45 tff(512,plain,
% 2.30/2.45 (multiply(sk_c6, multiply(sk_c4, sk_c5)) = multiply(sk_c6, sk_c6)),
% 2.30/2.45 inference(symmetry,[status(thm)],[511])).
% 2.30/2.45 tff(513,plain,
% 2.30/2.45 (((inverse(sk_c4) = sk_c6) | (multiply(sk_c1, sk_c7) = sk_c6)) <=> ((inverse(sk_c4) = sk_c6) | (multiply(sk_c1, sk_c7) = sk_c6))),
% 2.30/2.45 inference(rewrite,[status(thm)],[])).
% 2.30/2.45 tff(514,plain,
% 2.30/2.45 (((multiply(sk_c1, sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c6)) <=> ((inverse(sk_c4) = sk_c6) | (multiply(sk_c1, sk_c7) = sk_c6))),
% 2.30/2.45 inference(rewrite,[status(thm)],[])).
% 2.30/2.45 tff(515,axiom,((multiply(sk_c1, sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_9')).
% 2.30/2.45 tff(516,plain,
% 2.30/2.45 ((inverse(sk_c4) = sk_c6) | (multiply(sk_c1, sk_c7) = sk_c6)),
% 2.30/2.45 inference(modus_ponens,[status(thm)],[515, 514])).
% 2.30/2.45 tff(517,plain,
% 2.30/2.45 ((inverse(sk_c4) = sk_c6) | (multiply(sk_c1, sk_c7) = sk_c6)),
% 2.30/2.45 inference(modus_ponens,[status(thm)],[516, 513])).
% 2.30/2.45 tff(518,plain,
% 2.30/2.45 (inverse(sk_c4) = sk_c6),
% 2.30/2.45 inference(unit_resolution,[status(thm)],[517, 505])).
% 2.30/2.45 tff(519,plain,
% 2.30/2.45 (sk_c6 = inverse(sk_c4)),
% 2.30/2.45 inference(symmetry,[status(thm)],[518])).
% 2.30/2.45 tff(520,plain,
% 2.30/2.45 (multiply(sk_c6, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 2.30/2.45 inference(monotonicity,[status(thm)],[519])).
% 2.30/2.45 tff(521,plain,
% 2.30/2.45 (multiply(sk_c6, sk_c4) = identity),
% 2.30/2.45 inference(transitivity,[status(thm)],[520, 136])).
% 2.30/2.45 tff(522,plain,
% 2.30/2.45 (multiply(multiply(sk_c6, sk_c4), sk_c5) = multiply(identity, sk_c5)),
% 2.30/2.45 inference(monotonicity,[status(thm)],[521])).
% 2.30/2.45 tff(523,plain,
% 2.30/2.45 (multiply(identity, sk_c5) = multiply(multiply(sk_c6, sk_c4), sk_c5)),
% 2.30/2.45 inference(symmetry,[status(thm)],[522])).
% 2.30/2.45 tff(524,plain,
% 2.30/2.45 (sk_c5 = multiply(sk_c6, sk_c6)),
% 2.30/2.45 inference(transitivity,[status(thm)],[187, 523, 186, 512])).
% 2.30/2.45 tff(525,plain,
% 2.30/2.45 (multiply(sk_c3, sk_c5) = multiply(sk_c3, multiply(sk_c6, sk_c6))),
% 2.30/2.45 inference(monotonicity,[status(thm)],[524])).
% 2.30/2.45 tff(526,plain,
% 2.30/2.45 (multiply(sk_c3, sk_c5) = sk_c5),
% 2.30/2.45 inference(transitivity,[status(thm)],[525, 199, 504, 214])).
% 2.30/2.45 tff(527,plain,
% 2.30/2.45 ((multiply(sk_c3, sk_c5) = sk_c7) <=> (sk_c5 = inverse(sk_c3))),
% 2.30/2.45 inference(monotonicity,[status(thm)],[526, 311])).
% 2.30/2.45 tff(528,plain,
% 2.30/2.45 ((multiply(sk_c3, sk_c5) = sk_c7) <=> (inverse(sk_c3) = sk_c5)),
% 2.30/2.45 inference(transitivity,[status(thm)],[527, 10])).
% 2.30/2.45 tff(529,plain,
% 2.30/2.45 ((~(multiply(sk_c3, sk_c5) = sk_c7)) <=> (~(inverse(sk_c3) = sk_c5))),
% 2.30/2.45 inference(monotonicity,[status(thm)],[528])).
% 2.30/2.45 tff(530,plain,
% 2.30/2.45 ((sk_c6 = inverse(sk_c3)) <=> (inverse(sk_c3) = sk_c6)),
% 2.30/2.45 inference(commutativity,[status(thm)],[])).
% 2.30/2.45 tff(531,plain,
% 2.30/2.45 ((inverse(sk_c4) = sk_c7) <=> (sk_c6 = inverse(sk_c3))),
% 2.30/2.45 inference(monotonicity,[status(thm)],[518, 311])).
% 2.30/2.45 tff(532,plain,
% 2.30/2.45 ((inverse(sk_c4) = sk_c7) <=> (inverse(sk_c3) = sk_c6)),
% 2.30/2.45 inference(transitivity,[status(thm)],[531, 530])).
% 2.30/2.45 tff(533,plain,
% 2.30/2.45 ((inverse(sk_c3) = sk_c6) <=> (inverse(sk_c4) = sk_c7)),
% 2.30/2.45 inference(symmetry,[status(thm)],[532])).
% 2.30/2.45 tff(534,plain,
% 2.30/2.45 (multiply(sk_c6, multiply(sk_c4, sk_c5)) = multiply(multiply(sk_c6, sk_c4), sk_c5)),
% 2.30/2.45 inference(symmetry,[status(thm)],[186])).
% 2.30/2.45 tff(535,plain,
% 2.30/2.45 (multiply(multiply(sk_c4, sk_c5), sk_c6) = multiply(sk_c6, sk_c6)),
% 2.30/2.45 inference(monotonicity,[status(thm)],[509])).
% 2.30/2.45 tff(536,plain,
% 2.30/2.45 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c5), sk_c6) = multiply(sk_c4, multiply(sk_c5, sk_c6)))),
% 2.30/2.45 inference(quant_inst,[status(thm)],[])).
% 2.30/2.45 tff(537,plain,
% 2.30/2.45 (multiply(multiply(sk_c4, sk_c5), sk_c6) = multiply(sk_c4, multiply(sk_c5, sk_c6))),
% 2.30/2.45 inference(unit_resolution,[status(thm)],[536, 27])).
% 2.30/2.45 tff(538,plain,
% 2.30/2.45 (multiply(sk_c4, multiply(sk_c5, sk_c6)) = multiply(multiply(sk_c4, sk_c5), sk_c6)),
% 2.30/2.45 inference(symmetry,[status(thm)],[537])).
% 2.30/2.45 tff(539,plain,
% 2.30/2.45 (multiply(sk_c5, sk_c6) = multiply(multiply(sk_c7, sk_c6), sk_c6)),
% 2.30/2.45 inference(monotonicity,[status(thm)],[238])).
% 2.30/2.45 tff(540,plain,
% 2.30/2.45 (multiply(multiply(sk_c7, sk_c6), sk_c6) = multiply(sk_c5, sk_c6)),
% 2.30/2.45 inference(symmetry,[status(thm)],[539])).
% 2.30/2.45 tff(541,plain,
% 2.30/2.45 ((~![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)))),
% 2.30/2.45 inference(quant_inst,[status(thm)],[])).
% 2.30/2.45 tff(542,plain,
% 2.30/2.45 (multiply(multiply(sk_c7, sk_c6), sk_c6) = multiply(sk_c7, multiply(sk_c6, sk_c6))),
% 2.30/2.45 inference(unit_resolution,[status(thm)],[541, 27])).
% 2.30/2.45 tff(543,plain,
% 2.30/2.45 (multiply(sk_c7, multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c7, sk_c6), sk_c6)),
% 2.30/2.45 inference(symmetry,[status(thm)],[542])).
% 2.30/2.45 tff(544,plain,
% 2.30/2.45 (multiply(sk_c6, sk_c6) = multiply(sk_c6, sk_c7)),
% 2.30/2.45 inference(transitivity,[status(thm)],[511, 534, 522, 122, 120])).
% 2.30/2.45 tff(545,plain,
% 2.30/2.45 (multiply(sk_c7, multiply(sk_c6, sk_c6)) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 2.30/2.45 inference(monotonicity,[status(thm)],[544])).
% 2.30/2.45 tff(546,plain,
% 2.30/2.45 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(sk_c7, multiply(sk_c6, sk_c6))),
% 2.30/2.45 inference(symmetry,[status(thm)],[545])).
% 2.30/2.45 tff(547,plain,
% 2.30/2.45 (multiply(sk_c3, multiply(sk_c6, sk_c6)) = multiply(sk_c3, sk_c5)),
% 2.30/2.45 inference(symmetry,[status(thm)],[525])).
% 2.30/2.45 tff(548,plain,
% 2.30/2.45 (multiply(sk_c7, sk_c6) = multiply(multiply(sk_c3, sk_c6), sk_c6)),
% 2.30/2.45 inference(symmetry,[status(thm)],[504])).
% 2.30/2.45 tff(549,plain,
% 2.30/2.45 (multiply(sk_c6, sk_c7) = multiply(sk_c3, sk_c5)),
% 2.30/2.45 inference(transitivity,[status(thm)],[119, 238, 548, 192, 547])).
% 2.30/2.45 tff(550,plain,
% 2.30/2.45 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(sk_c7, multiply(sk_c3, sk_c5))),
% 2.30/2.45 inference(monotonicity,[status(thm)],[549])).
% 2.30/2.45 tff(551,plain,
% 2.30/2.45 (multiply(sk_c7, multiply(sk_c3, sk_c5)) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 2.30/2.45 inference(symmetry,[status(thm)],[550])).
% 2.30/2.45 tff(552,plain,
% 2.30/2.45 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c6, sk_c4)),
% 2.30/2.45 inference(symmetry,[status(thm)],[520])).
% 2.30/2.45 tff(553,plain,
% 2.30/2.45 (multiply(sk_c7, sk_c3) = multiply(sk_c6, sk_c4)),
% 2.30/2.45 inference(transitivity,[status(thm)],[372, 142, 137, 552])).
% 2.30/2.45 tff(554,plain,
% 2.30/2.45 (multiply(multiply(sk_c7, sk_c3), sk_c5) = multiply(multiply(sk_c6, sk_c4), sk_c5)),
% 2.30/2.45 inference(monotonicity,[status(thm)],[553])).
% 2.30/2.45 tff(555,plain,
% 2.30/2.45 (multiply(multiply(sk_c6, sk_c4), sk_c5) = multiply(multiply(sk_c7, sk_c3), sk_c5)),
% 2.30/2.45 inference(symmetry,[status(thm)],[554])).
% 2.30/2.45 tff(556,plain,
% 2.30/2.45 (sk_c5 = multiply(sk_c5, sk_c6)),
% 2.30/2.45 inference(transitivity,[status(thm)],[187, 523, 555, 156, 551, 546, 543, 540])).
% 2.30/2.45 tff(557,plain,
% 2.30/2.45 (multiply(sk_c4, sk_c5) = multiply(sk_c4, multiply(sk_c5, sk_c6))),
% 2.30/2.45 inference(monotonicity,[status(thm)],[556])).
% 2.30/2.45 tff(558,plain,
% 2.30/2.45 (sk_c6 = sk_c5),
% 2.30/2.45 inference(transitivity,[status(thm)],[510, 557, 538, 535, 511, 534, 522, 122])).
% 2.30/2.45 tff(559,plain,
% 2.30/2.45 ((inverse(sk_c3) = sk_c6) <=> (inverse(sk_c3) = sk_c5)),
% 2.30/2.45 inference(monotonicity,[status(thm)],[558])).
% 2.30/2.45 tff(560,plain,
% 2.30/2.45 ((inverse(sk_c3) = sk_c5) <=> (inverse(sk_c3) = sk_c6)),
% 2.30/2.45 inference(symmetry,[status(thm)],[559])).
% 2.30/2.45 tff(561,plain,
% 2.30/2.45 ((inverse(sk_c3) = sk_c5) <=> (inverse(sk_c4) = sk_c7)),
% 2.30/2.45 inference(transitivity,[status(thm)],[560, 533])).
% 2.30/2.45 tff(562,plain,
% 2.30/2.45 (multiply(sk_c4, multiply(sk_c5, sk_c6)) = multiply(sk_c6, sk_c6)),
% 2.30/2.45 inference(transitivity,[status(thm)],[538, 535])).
% 2.30/2.45 tff(563,plain,
% 2.30/2.45 (multiply(sk_c3, multiply(sk_c4, multiply(sk_c5, sk_c6))) = multiply(sk_c3, multiply(sk_c6, sk_c6))),
% 2.30/2.45 inference(monotonicity,[status(thm)],[562])).
% 2.30/2.45 tff(564,plain,
% 2.30/2.45 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c4), multiply(sk_c5, sk_c6)) = multiply(sk_c3, multiply(sk_c4, multiply(sk_c5, sk_c6))))),
% 2.30/2.45 inference(quant_inst,[status(thm)],[])).
% 2.30/2.45 tff(565,plain,
% 2.30/2.45 (multiply(multiply(sk_c3, sk_c4), multiply(sk_c5, sk_c6)) = multiply(sk_c3, multiply(sk_c4, multiply(sk_c5, sk_c6)))),
% 2.30/2.45 inference(unit_resolution,[status(thm)],[564, 27])).
% 2.30/2.45 tff(566,plain,
% 2.30/2.45 (multiply(multiply(sk_c3, sk_c4), sk_c5) = multiply(multiply(sk_c3, sk_c4), multiply(sk_c5, sk_c6))),
% 2.30/2.45 inference(monotonicity,[status(thm)],[556])).
% 2.30/2.45 tff(567,plain,
% 2.30/2.45 (multiply(sk_c3, sk_c6) = multiply(sk_c3, multiply(sk_c4, sk_c5))),
% 2.30/2.45 inference(monotonicity,[status(thm)],[510])).
% 2.30/2.45 tff(568,plain,
% 2.30/2.45 (sk_c7 = multiply(sk_c3, sk_c6)),
% 2.30/2.45 inference(symmetry,[status(thm)],[503])).
% 2.30/2.45 tff(569,plain,
% 2.30/2.45 (inverse(sk_c3) = sk_c5),
% 2.30/2.45 inference(transitivity,[status(thm)],[310, 568, 567, 402, 566, 565, 563, 199, 504, 214])).
% 2.30/2.45 tff(570,plain,
% 2.30/2.45 (inverse(sk_c4) = sk_c7),
% 2.30/2.45 inference(modus_ponens,[status(thm)],[569, 561])).
% 2.30/2.45 tff(571,plain,
% 2.30/2.45 (multiply(sk_c3, multiply(sk_c6, sk_c6)) = sk_c5),
% 2.30/2.45 inference(transitivity,[status(thm)],[199, 504, 214])).
% 2.30/2.45 tff(572,plain,
% 2.30/2.45 (multiply(sk_c4, multiply(sk_c3, multiply(sk_c6, sk_c6))) = multiply(sk_c4, sk_c5)),
% 2.30/2.45 inference(monotonicity,[status(thm)],[571])).
% 2.30/2.45 tff(573,plain,
% 2.30/2.45 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c3), multiply(sk_c6, sk_c6)) = multiply(sk_c4, multiply(sk_c3, multiply(sk_c6, sk_c6))))),
% 2.30/2.45 inference(quant_inst,[status(thm)],[])).
% 2.30/2.45 tff(574,plain,
% 2.30/2.45 (multiply(multiply(sk_c4, sk_c3), multiply(sk_c6, sk_c6)) = multiply(sk_c4, multiply(sk_c3, multiply(sk_c6, sk_c6)))),
% 2.30/2.45 inference(unit_resolution,[status(thm)],[573, 27])).
% 2.30/2.45 tff(575,plain,
% 2.30/2.45 (multiply(identity, sk_c5) = multiply(sk_c6, sk_c6)),
% 2.30/2.45 inference(transitivity,[status(thm)],[523, 186, 512])).
% 2.30/2.45 tff(576,plain,
% 2.30/2.45 (multiply(multiply(sk_c4, sk_c3), multiply(identity, sk_c5)) = multiply(multiply(sk_c4, sk_c3), multiply(sk_c6, sk_c6))),
% 2.30/2.45 inference(monotonicity,[status(thm)],[575])).
% 2.30/2.45 tff(577,plain,
% 2.30/2.45 (sk_c6 = multiply(identity, sk_c5)),
% 2.30/2.45 inference(transitivity,[status(thm)],[510, 557, 538, 535, 511, 534, 522])).
% 2.30/2.45 tff(578,plain,
% 2.30/2.45 (multiply(multiply(sk_c4, sk_c3), sk_c6) = multiply(multiply(sk_c4, sk_c3), multiply(identity, sk_c5))),
% 2.30/2.45 inference(monotonicity,[status(thm)],[577])).
% 2.30/2.45 tff(579,plain,
% 2.30/2.45 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c3), sk_c6) = multiply(sk_c4, multiply(sk_c3, sk_c6)))),
% 2.30/2.45 inference(quant_inst,[status(thm)],[])).
% 2.30/2.45 tff(580,plain,
% 2.30/2.45 (multiply(multiply(sk_c4, sk_c3), sk_c6) = multiply(sk_c4, multiply(sk_c3, sk_c6))),
% 2.30/2.45 inference(unit_resolution,[status(thm)],[579, 27])).
% 2.30/2.45 tff(581,plain,
% 2.30/2.45 (multiply(sk_c4, multiply(sk_c3, sk_c6)) = multiply(multiply(sk_c4, sk_c3), sk_c6)),
% 2.30/2.45 inference(symmetry,[status(thm)],[580])).
% 2.30/2.45 tff(582,plain,
% 2.30/2.45 (multiply(sk_c4, sk_c7) = multiply(sk_c4, multiply(sk_c3, sk_c6))),
% 2.30/2.45 inference(monotonicity,[status(thm)],[568])).
% 2.30/2.45 tff(583,plain,
% 2.30/2.45 (multiply(sk_c4, sk_c7) = sk_c6),
% 2.30/2.45 inference(transitivity,[status(thm)],[582, 581, 578, 576, 574, 572, 509])).
% 2.30/2.45 tff(584,plain,
% 2.30/2.45 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c7)) | (~(multiply(sk_c4, sk_c5) = sk_c6)) | (~(multiply(sk_c4, sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(inverse(sk_c4) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c7)) | (~(multiply(sk_c4, sk_c5) = sk_c6)) | (~(multiply(sk_c4, sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(inverse(sk_c4) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)))),
% 2.30/2.45 inference(rewrite,[status(thm)],[])).
% 2.30/2.45 tff(585,plain,
% 2.30/2.45 (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c4, sk_c5) = sk_c6)) | (~(inverse(sk_c4) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c7)) | (~(multiply(sk_c4, sk_c5) = sk_c6)) | (~(multiply(sk_c4, sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(inverse(sk_c4) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)))),
% 2.30/2.45 inference(rewrite,[status(thm)],[])).
% 2.30/2.45 tff(586,plain,
% 2.30/2.45 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c4, sk_c5) = sk_c6)) | (~(inverse(sk_c4) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c7)) | (~(multiply(sk_c4, sk_c5) = sk_c6)) | (~(multiply(sk_c4, sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(inverse(sk_c4) = sk_c6)) | (~(inverse(sk_c3) = sk_c7))))),
% 2.30/2.45 inference(monotonicity,[status(thm)],[585])).
% 2.30/2.45 tff(587,plain,
% 2.30/2.45 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c4, sk_c5) = sk_c6)) | (~(inverse(sk_c4) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c7)) | (~(multiply(sk_c4, sk_c5) = sk_c6)) | (~(multiply(sk_c4, sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(inverse(sk_c4) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)))),
% 2.30/2.45 inference(transitivity,[status(thm)],[586, 584])).
% 2.30/2.45 tff(588,plain,
% 2.30/2.45 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c4, sk_c5) = sk_c6)) | (~(inverse(sk_c4) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c6)))),
% 2.30/2.45 inference(quant_inst,[status(thm)],[])).
% 2.30/2.45 tff(589,plain,
% 2.30/2.45 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c7)) | (~(multiply(sk_c4, sk_c5) = sk_c6)) | (~(multiply(sk_c4, sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(inverse(sk_c4) = sk_c6)) | (~(inverse(sk_c3) = sk_c7))),
% 2.30/2.45 inference(modus_ponens,[status(thm)],[588, 587])).
% 2.30/2.45 tff(590,plain,
% 2.30/2.45 ((~(inverse(sk_c3) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c7))),
% 2.30/2.45 inference(unit_resolution,[status(thm)],[589, 214, 119, 310, 503, 518, 509, 293])).
% 2.30/2.45 tff(591,plain,
% 2.30/2.45 (~(multiply(sk_c3, sk_c5) = sk_c7)),
% 2.30/2.45 inference(unit_resolution,[status(thm)],[590, 569, 583, 570])).
% 2.30/2.45 tff(592,plain,
% 2.30/2.45 (~(inverse(sk_c3) = sk_c5)),
% 2.30/2.45 inference(modus_ponens,[status(thm)],[591, 529])).
% 2.30/2.45 tff(593,plain,
% 2.30/2.45 ($false),
% 2.30/2.45 inference(unit_resolution,[status(thm)],[569, 592])).
% 2.30/2.45 tff(594,plain,(multiply(sk_c1, sk_c7) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 2.30/2.45 tff(595,plain,
% 2.30/2.45 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(sk_c7, sk_c6)),
% 2.30/2.45 inference(monotonicity,[status(thm)],[594])).
% 2.30/2.45 tff(596,plain,
% 2.30/2.45 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 2.30/2.45 inference(symmetry,[status(thm)],[595])).
% 2.30/2.45 tff(597,plain,
% 2.30/2.45 (sk_c7 = sk_c5),
% 2.30/2.45 inference(transitivity,[status(thm)],[57, 437, 37, 595, 214])).
% 2.30/2.45 tff(598,plain,
% 2.30/2.45 (multiply(sk_c6, sk_c7) = multiply(sk_c6, sk_c5)),
% 2.30/2.45 inference(monotonicity,[status(thm)],[597])).
% 2.30/2.45 tff(599,plain,
% 2.30/2.45 (multiply(sk_c6, sk_c5) = multiply(sk_c6, sk_c7)),
% 2.30/2.45 inference(symmetry,[status(thm)],[598])).
% 2.30/2.45 tff(600,plain,
% 2.30/2.45 (multiply(sk_c1, sk_c7) = multiply(sk_c1, sk_c5)),
% 2.30/2.45 inference(monotonicity,[status(thm)],[597])).
% 2.30/2.45 tff(601,plain,
% 2.30/2.45 (multiply(sk_c1, sk_c5) = multiply(sk_c1, sk_c7)),
% 2.30/2.45 inference(symmetry,[status(thm)],[600])).
% 2.30/2.45 tff(602,plain,
% 2.30/2.45 (multiply(sk_c1, sk_c5) = multiply(sk_c1, multiply(sk_c7, sk_c6))),
% 2.30/2.45 inference(monotonicity,[status(thm)],[238])).
% 2.30/2.45 tff(603,plain,
% 2.30/2.45 (multiply(sk_c1, multiply(sk_c7, sk_c6)) = multiply(sk_c1, sk_c5)),
% 2.30/2.45 inference(symmetry,[status(thm)],[602])).
% 2.30/2.45 tff(604,plain,
% 2.30/2.45 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c7), sk_c6) = multiply(sk_c1, multiply(sk_c7, sk_c6)))),
% 2.30/2.45 inference(quant_inst,[status(thm)],[])).
% 2.30/2.45 tff(605,plain,
% 2.30/2.45 (multiply(multiply(sk_c1, sk_c7), sk_c6) = multiply(sk_c1, multiply(sk_c7, sk_c6))),
% 2.30/2.45 inference(unit_resolution,[status(thm)],[604, 27])).
% 2.30/2.45 tff(606,plain,
% 2.30/2.45 (multiply(multiply(sk_c1, sk_c7), sk_c6) = multiply(sk_c6, sk_c6)),
% 2.30/2.45 inference(monotonicity,[status(thm)],[594])).
% 2.30/2.45 tff(607,plain,
% 2.30/2.45 (multiply(sk_c6, sk_c6) = multiply(multiply(sk_c1, sk_c7), sk_c6)),
% 2.30/2.45 inference(symmetry,[status(thm)],[606])).
% 2.30/2.45 tff(608,plain,
% 2.30/2.45 (sk_c6 = multiply(sk_c1, sk_c7)),
% 2.30/2.45 inference(symmetry,[status(thm)],[594])).
% 2.30/2.45 tff(609,plain,
% 2.30/2.45 (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(sk_c1, sk_c7))),
% 2.30/2.45 inference(monotonicity,[status(thm)],[608])).
% 2.30/2.46 tff(610,plain,
% 2.30/2.46 (multiply(sk_c6, multiply(sk_c1, sk_c7)) = multiply(sk_c6, sk_c6)),
% 2.30/2.46 inference(symmetry,[status(thm)],[609])).
% 2.30/2.46 tff(611,plain,
% 2.30/2.46 (multiply(sk_c6, multiply(sk_c1, sk_c7)) = sk_c6),
% 2.30/2.46 inference(transitivity,[status(thm)],[610, 607, 605, 603, 601, 594])).
% 2.30/2.46 tff(612,plain,
% 2.30/2.46 (inverse(multiply(sk_c6, multiply(sk_c1, sk_c7))) = inverse(sk_c6)),
% 2.30/2.46 inference(monotonicity,[status(thm)],[611])).
% 2.30/2.46 tff(613,plain,
% 2.30/2.46 ((inverse(multiply(sk_c6, multiply(sk_c1, sk_c7))) = sk_c5) <=> (inverse(sk_c6) = sk_c5)),
% 2.30/2.46 inference(monotonicity,[status(thm)],[612])).
% 2.30/2.46 tff(614,plain,
% 2.30/2.46 ((inverse(sk_c6) = sk_c5) <=> (inverse(multiply(sk_c6, multiply(sk_c1, sk_c7))) = sk_c5)),
% 2.30/2.46 inference(symmetry,[status(thm)],[613])).
% 2.30/2.46 tff(615,plain,
% 2.30/2.46 (sk_c5 = sk_c7),
% 2.30/2.46 inference(transitivity,[status(thm)],[238, 596, 236, 438, 9])).
% 2.30/2.46 tff(616,plain,
% 2.30/2.46 (multiply(sk_c1, multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c1, sk_c7), sk_c6)),
% 2.30/2.46 inference(symmetry,[status(thm)],[605])).
% 2.30/2.46 tff(617,plain,
% 2.30/2.46 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c6, multiply(sk_c1, sk_c7))) = multiply(sk_c6, multiply(sk_c1, sk_c7)))),
% 2.30/2.46 inference(quant_inst,[status(thm)],[])).
% 2.30/2.46 tff(618,plain,
% 2.30/2.46 (multiply(identity, multiply(sk_c6, multiply(sk_c1, sk_c7))) = multiply(sk_c6, multiply(sk_c1, sk_c7))),
% 2.30/2.46 inference(unit_resolution,[status(thm)],[617, 7])).
% 2.30/2.46 tff(619,plain,
% 2.30/2.46 (multiply(identity, multiply(sk_c6, multiply(sk_c1, sk_c7))) = multiply(multiply(sk_c7, sk_c3), sk_c6)),
% 2.30/2.46 inference(monotonicity,[status(thm)],[374, 611])).
% 2.30/2.46 tff(620,plain,
% 2.30/2.46 (multiply(multiply(sk_c7, sk_c3), sk_c6) = multiply(identity, multiply(sk_c6, multiply(sk_c1, sk_c7)))),
% 2.30/2.46 inference(symmetry,[status(thm)],[619])).
% 2.30/2.46 tff(621,plain,
% 2.30/2.46 (multiply(sk_c7, multiply(sk_c3, sk_c6)) = multiply(multiply(sk_c7, sk_c3), sk_c6)),
% 2.30/2.46 inference(symmetry,[status(thm)],[202])).
% 2.30/2.46 tff(622,plain,
% 2.30/2.46 (multiply(sk_c7, multiply(sk_c3, sk_c6)) = multiply(sk_c7, sk_c7)),
% 2.30/2.46 inference(monotonicity,[status(thm)],[503])).
% 2.30/2.46 tff(623,plain,
% 2.30/2.46 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(sk_c3, sk_c6))),
% 2.30/2.46 inference(symmetry,[status(thm)],[622])).
% 2.30/2.46 tff(624,assumption,(~(inverse(sk_c4) = sk_c6)), introduced(assumption)).
% 2.30/2.46 tff(625,plain,
% 2.30/2.46 (((inverse(sk_c4) = sk_c6) | (multiply(sk_c2, sk_c5) = sk_c7)) <=> ((inverse(sk_c4) = sk_c6) | (multiply(sk_c2, sk_c5) = sk_c7))),
% 2.30/2.46 inference(rewrite,[status(thm)],[])).
% 2.30/2.46 tff(626,plain,
% 2.30/2.46 (((multiply(sk_c2, sk_c5) = sk_c7) | (inverse(sk_c4) = sk_c6)) <=> ((inverse(sk_c4) = sk_c6) | (multiply(sk_c2, sk_c5) = sk_c7))),
% 2.30/2.46 inference(rewrite,[status(thm)],[])).
% 2.30/2.46 tff(627,axiom,((multiply(sk_c2, sk_c5) = sk_c7) | (inverse(sk_c4) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_19')).
% 2.30/2.46 tff(628,plain,
% 2.30/2.46 ((inverse(sk_c4) = sk_c6) | (multiply(sk_c2, sk_c5) = sk_c7)),
% 2.30/2.46 inference(modus_ponens,[status(thm)],[627, 626])).
% 2.30/2.46 tff(629,plain,
% 2.30/2.46 ((inverse(sk_c4) = sk_c6) | (multiply(sk_c2, sk_c5) = sk_c7)),
% 2.30/2.46 inference(modus_ponens,[status(thm)],[628, 625])).
% 2.30/2.46 tff(630,plain,
% 2.30/2.46 (multiply(sk_c2, sk_c5) = sk_c7),
% 2.30/2.46 inference(unit_resolution,[status(thm)],[629, 624])).
% 2.30/2.46 tff(631,plain,
% 2.30/2.46 (sk_c7 = multiply(sk_c2, sk_c5)),
% 2.30/2.46 inference(symmetry,[status(thm)],[630])).
% 2.30/2.46 tff(632,plain,
% 2.30/2.46 (multiply(sk_c7, sk_c7) = multiply(sk_c5, multiply(sk_c2, sk_c5))),
% 2.30/2.46 inference(monotonicity,[status(thm)],[597, 631])).
% 2.30/2.46 tff(633,plain,
% 2.30/2.46 (multiply(sk_c5, multiply(sk_c2, sk_c5)) = multiply(sk_c7, sk_c7)),
% 2.30/2.46 inference(symmetry,[status(thm)],[632])).
% 2.30/2.46 tff(634,plain,
% 2.30/2.46 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c2), sk_c5) = multiply(sk_c5, multiply(sk_c2, sk_c5)))),
% 2.30/2.46 inference(quant_inst,[status(thm)],[])).
% 2.30/2.46 tff(635,plain,
% 2.30/2.46 (multiply(multiply(sk_c5, sk_c2), sk_c5) = multiply(sk_c5, multiply(sk_c2, sk_c5))),
% 2.30/2.46 inference(unit_resolution,[status(thm)],[634, 27])).
% 2.30/2.46 tff(636,plain,
% 2.30/2.46 (multiply(inverse(sk_c6), sk_c6) = multiply(sk_c7, sk_c1)),
% 2.30/2.46 inference(transitivity,[status(thm)],[94, 54, 435])).
% 2.30/2.46 tff(637,plain,
% 2.30/2.46 (multiply(multiply(inverse(sk_c6), sk_c6), sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 2.30/2.46 inference(monotonicity,[status(thm)],[636])).
% 2.30/2.46 tff(638,plain,
% 2.30/2.46 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c6), sk_c6), sk_c7) = multiply(inverse(sk_c6), multiply(sk_c6, sk_c7)))),
% 2.30/2.46 inference(quant_inst,[status(thm)],[])).
% 2.30/2.46 tff(639,plain,
% 2.30/2.46 (multiply(multiply(inverse(sk_c6), sk_c6), sk_c7) = multiply(inverse(sk_c6), multiply(sk_c6, sk_c7))),
% 2.30/2.46 inference(unit_resolution,[status(thm)],[638, 27])).
% 2.30/2.46 tff(640,plain,
% 2.30/2.46 (multiply(inverse(sk_c6), multiply(sk_c6, sk_c7)) = multiply(multiply(inverse(sk_c6), sk_c6), sk_c7)),
% 2.30/2.46 inference(symmetry,[status(thm)],[639])).
% 2.30/2.46 tff(641,plain,
% 2.30/2.46 (multiply(inverse(sk_c6), sk_c5) = multiply(inverse(sk_c6), multiply(sk_c6, sk_c7))),
% 2.30/2.46 inference(monotonicity,[status(thm)],[120])).
% 2.30/2.46 tff(642,plain,
% 2.30/2.46 (multiply(inverse(sk_c6), sk_c5) = sk_c7),
% 2.30/2.46 inference(transitivity,[status(thm)],[641, 640, 637, 438, 9])).
% 2.30/2.46 tff(643,plain,
% 2.30/2.46 (multiply(multiply(inverse(sk_c6), sk_c5), sk_c5) = multiply(sk_c7, sk_c7)),
% 2.30/2.46 inference(monotonicity,[status(thm)],[642, 615])).
% 2.30/2.46 tff(644,plain,
% 2.30/2.46 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c6), sk_c5), sk_c5) = multiply(inverse(sk_c6), multiply(sk_c5, sk_c5)))),
% 2.30/2.46 inference(quant_inst,[status(thm)],[])).
% 2.30/2.46 tff(645,plain,
% 2.30/2.46 (multiply(multiply(inverse(sk_c6), sk_c5), sk_c5) = multiply(inverse(sk_c6), multiply(sk_c5, sk_c5))),
% 2.30/2.46 inference(unit_resolution,[status(thm)],[644, 27])).
% 2.30/2.46 tff(646,plain,
% 2.30/2.46 (multiply(inverse(sk_c6), multiply(sk_c5, sk_c5)) = multiply(multiply(inverse(sk_c6), sk_c5), sk_c5)),
% 2.30/2.46 inference(symmetry,[status(thm)],[645])).
% 2.30/2.46 tff(647,plain,
% 2.30/2.46 (multiply(sk_c5, sk_c5) = multiply(sk_c7, sk_c7)),
% 2.30/2.46 inference(monotonicity,[status(thm)],[615, 615])).
% 2.30/2.46 tff(648,plain,
% 2.30/2.46 (multiply(sk_c7, sk_c7) = multiply(sk_c5, sk_c5)),
% 2.30/2.46 inference(symmetry,[status(thm)],[647])).
% 2.30/2.46 tff(649,plain,
% 2.30/2.46 (multiply(sk_c6, multiply(sk_c1, sk_c7)) = multiply(identity, multiply(sk_c6, multiply(sk_c1, sk_c7)))),
% 2.30/2.46 inference(symmetry,[status(thm)],[618])).
% 2.30/2.46 tff(650,plain,
% 2.30/2.46 (sk_c6 = multiply(sk_c5, sk_c5)),
% 2.30/2.46 inference(transitivity,[status(thm)],[608, 600, 602, 616, 606, 609, 649, 619, 202, 622, 648])).
% 2.30/2.46 tff(651,plain,
% 2.30/2.46 (multiply(inverse(sk_c6), sk_c6) = multiply(inverse(sk_c6), multiply(sk_c5, sk_c5))),
% 2.30/2.46 inference(monotonicity,[status(thm)],[650])).
% 2.30/2.46 tff(652,plain,
% 2.30/2.46 (((inverse(sk_c2) = sk_c5) | (inverse(sk_c4) = sk_c6)) <=> ((inverse(sk_c2) = sk_c5) | (inverse(sk_c4) = sk_c6))),
% 2.30/2.46 inference(rewrite,[status(thm)],[])).
% 2.30/2.46 tff(653,axiom,((inverse(sk_c2) = sk_c5) | (inverse(sk_c4) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_24')).
% 2.30/2.46 tff(654,plain,
% 2.30/2.46 ((inverse(sk_c2) = sk_c5) | (inverse(sk_c4) = sk_c6)),
% 2.30/2.46 inference(modus_ponens,[status(thm)],[653, 652])).
% 2.30/2.46 tff(655,plain,
% 2.30/2.46 (inverse(sk_c2) = sk_c5),
% 2.30/2.46 inference(unit_resolution,[status(thm)],[654, 624])).
% 2.30/2.46 tff(656,plain,
% 2.30/2.46 (sk_c5 = inverse(sk_c2)),
% 2.30/2.46 inference(symmetry,[status(thm)],[655])).
% 2.30/2.46 tff(657,plain,
% 2.30/2.46 (multiply(sk_c5, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 2.30/2.46 inference(monotonicity,[status(thm)],[656])).
% 2.30/2.46 tff(658,plain,
% 2.30/2.46 (multiply(sk_c5, sk_c2) = sk_c6),
% 2.30/2.46 inference(transitivity,[status(thm)],[657, 60, 111, 651, 646, 643, 623, 621, 620, 618, 610, 607, 605, 603, 601, 594])).
% 2.30/2.46 tff(659,plain,
% 2.30/2.46 (multiply(multiply(sk_c5, sk_c2), sk_c5) = multiply(sk_c6, sk_c5)),
% 2.30/2.46 inference(monotonicity,[status(thm)],[658])).
% 2.30/2.46 tff(660,plain,
% 2.30/2.46 (multiply(sk_c6, sk_c5) = multiply(multiply(sk_c5, sk_c2), sk_c5)),
% 2.30/2.46 inference(symmetry,[status(thm)],[659])).
% 2.30/2.46 tff(661,plain,
% 2.30/2.46 (multiply(sk_c6, sk_c5) = multiply(sk_c6, sk_c7)),
% 2.30/2.46 inference(monotonicity,[status(thm)],[615])).
% 2.30/2.46 tff(662,plain,
% 2.30/2.46 (multiply(sk_c6, sk_c7) = multiply(sk_c6, sk_c5)),
% 2.30/2.46 inference(symmetry,[status(thm)],[661])).
% 2.30/2.46 tff(663,plain,
% 2.30/2.46 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c1) = sk_c1)),
% 2.30/2.46 inference(quant_inst,[status(thm)],[])).
% 2.30/2.46 tff(664,plain,
% 2.30/2.46 (multiply(identity, sk_c1) = sk_c1),
% 2.30/2.46 inference(unit_resolution,[status(thm)],[663, 7])).
% 2.30/2.46 tff(665,plain,
% 2.30/2.46 (multiply(identity, sk_c1) = multiply(multiply(sk_c7, sk_c1), sk_c1)),
% 2.30/2.46 inference(monotonicity,[status(thm)],[436])).
% 2.30/2.46 tff(666,plain,
% 2.30/2.46 (multiply(multiply(sk_c7, sk_c1), sk_c1) = multiply(identity, sk_c1)),
% 2.30/2.46 inference(symmetry,[status(thm)],[665])).
% 2.30/2.46 tff(667,plain,
% 2.30/2.46 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c1), sk_c1) = multiply(sk_c7, multiply(sk_c1, sk_c1)))),
% 2.30/2.46 inference(quant_inst,[status(thm)],[])).
% 2.30/2.46 tff(668,plain,
% 2.30/2.46 (multiply(multiply(sk_c7, sk_c1), sk_c1) = multiply(sk_c7, multiply(sk_c1, sk_c1))),
% 2.30/2.46 inference(unit_resolution,[status(thm)],[667, 27])).
% 2.30/2.46 tff(669,plain,
% 2.30/2.46 (multiply(sk_c7, multiply(sk_c1, sk_c1)) = multiply(multiply(sk_c7, sk_c1), sk_c1)),
% 2.30/2.46 inference(symmetry,[status(thm)],[668])).
% 2.30/2.46 tff(670,plain,
% 2.30/2.46 (multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c5) = multiply(sk_c6, sk_c5)),
% 2.30/2.46 inference(monotonicity,[status(thm)],[611])).
% 2.30/2.46 tff(671,plain,
% 2.30/2.46 (multiply(sk_c6, sk_c5) = multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c5)),
% 2.30/2.46 inference(symmetry,[status(thm)],[670])).
% 2.30/2.46 tff(672,plain,
% 2.30/2.46 (sk_c7 = multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c5)),
% 2.30/2.46 inference(transitivity,[status(thm)],[57, 437, 37, 595, 214, 120, 662, 671])).
% 2.30/2.46 tff(673,plain,
% 2.30/2.46 (multiply(sk_c7, multiply(sk_c1, sk_c1)) = multiply(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c5), multiply(sk_c1, sk_c1))),
% 2.30/2.46 inference(monotonicity,[status(thm)],[672])).
% 2.30/2.46 tff(674,plain,
% 2.30/2.46 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c5), multiply(sk_c1, sk_c1)) = multiply(sk_c7, multiply(sk_c1, sk_c1))),
% 2.30/2.46 inference(symmetry,[status(thm)],[673])).
% 2.30/2.46 tff(675,plain,
% 2.30/2.46 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c5), multiply(sk_c1, sk_c1)) = multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c5, multiply(sk_c1, sk_c1))))),
% 2.30/2.46 inference(quant_inst,[status(thm)],[])).
% 2.30/2.46 tff(676,plain,
% 2.30/2.46 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c5), multiply(sk_c1, sk_c1)) = multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c5, multiply(sk_c1, sk_c1)))),
% 2.30/2.46 inference(unit_resolution,[status(thm)],[675, 27])).
% 2.30/2.46 tff(677,plain,
% 2.30/2.46 (multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c5, multiply(sk_c1, sk_c1))) = multiply(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c5), multiply(sk_c1, sk_c1))),
% 2.30/2.46 inference(symmetry,[status(thm)],[676])).
% 2.30/2.46 tff(678,plain,
% 2.30/2.46 (multiply(sk_c5, multiply(sk_c1, sk_c1)) = multiply(sk_c7, multiply(sk_c1, sk_c1))),
% 2.30/2.46 inference(monotonicity,[status(thm)],[615])).
% 2.30/2.46 tff(679,plain,
% 2.30/2.46 (multiply(sk_c5, multiply(sk_c1, sk_c1)) = sk_c1),
% 2.30/2.46 inference(transitivity,[status(thm)],[678, 669, 666, 664])).
% 2.30/2.46 tff(680,plain,
% 2.30/2.46 (multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c5, multiply(sk_c1, sk_c1))) = multiply(sk_c6, sk_c1)),
% 2.30/2.46 inference(monotonicity,[status(thm)],[611, 679])).
% 2.30/2.46 tff(681,plain,
% 2.30/2.46 (multiply(sk_c6, sk_c1) = multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c5, multiply(sk_c1, sk_c1)))),
% 2.30/2.46 inference(symmetry,[status(thm)],[680])).
% 2.30/2.46 tff(682,plain,
% 2.30/2.46 (multiply(sk_c6, sk_c1) = multiply(multiply(sk_c1, sk_c7), sk_c1)),
% 2.30/2.46 inference(monotonicity,[status(thm)],[608])).
% 2.30/2.46 tff(683,plain,
% 2.30/2.46 (multiply(multiply(sk_c1, sk_c7), sk_c1) = multiply(sk_c6, sk_c1)),
% 2.30/2.46 inference(symmetry,[status(thm)],[682])).
% 2.30/2.46 tff(684,plain,
% 2.30/2.46 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c7), sk_c1) = multiply(sk_c1, multiply(sk_c7, sk_c1)))),
% 2.30/2.46 inference(quant_inst,[status(thm)],[])).
% 2.30/2.46 tff(685,plain,
% 2.30/2.46 (multiply(multiply(sk_c1, sk_c7), sk_c1) = multiply(sk_c1, multiply(sk_c7, sk_c1))),
% 2.30/2.46 inference(unit_resolution,[status(thm)],[684, 27])).
% 2.30/2.46 tff(686,plain,
% 2.30/2.46 (multiply(sk_c1, multiply(sk_c7, sk_c1)) = multiply(multiply(sk_c1, sk_c7), sk_c1)),
% 2.30/2.46 inference(symmetry,[status(thm)],[685])).
% 2.30/2.46 tff(687,plain,
% 2.30/2.46 (multiply(inverse(sk_c6), multiply(sk_c1, sk_c7)) = multiply(inverse(sk_c6), sk_c6)),
% 2.30/2.46 inference(monotonicity,[status(thm)],[594])).
% 2.30/2.46 tff(688,plain,
% 2.30/2.46 (multiply(inverse(sk_c6), sk_c6) = multiply(inverse(sk_c6), multiply(sk_c1, sk_c7))),
% 2.30/2.46 inference(symmetry,[status(thm)],[687])).
% 2.30/2.46 tff(689,plain,
% 2.30/2.46 (multiply(sk_c7, sk_c1) = multiply(multiply(inverse(sk_c6), sk_c1), sk_c7)),
% 2.30/2.46 inference(transitivity,[status(thm)],[434, 53, 111, 688, 110])).
% 2.30/2.46 tff(690,plain,
% 2.30/2.46 (multiply(sk_c1, multiply(sk_c7, sk_c1)) = multiply(sk_c1, multiply(multiply(inverse(sk_c6), sk_c1), sk_c7))),
% 2.30/2.46 inference(monotonicity,[status(thm)],[689])).
% 2.30/2.46 tff(691,plain,
% 2.30/2.46 (multiply(sk_c1, multiply(multiply(inverse(sk_c6), sk_c1), sk_c7)) = multiply(sk_c1, multiply(sk_c7, sk_c1))),
% 2.30/2.46 inference(symmetry,[status(thm)],[690])).
% 2.30/2.46 tff(692,plain,
% 2.30/2.46 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c1)), sk_c7) = multiply(sk_c1, multiply(multiply(inverse(sk_c6), sk_c1), sk_c7)))),
% 2.30/2.46 inference(quant_inst,[status(thm)],[])).
% 2.30/2.46 tff(693,plain,
% 2.30/2.46 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c1)), sk_c7) = multiply(sk_c1, multiply(multiply(inverse(sk_c6), sk_c1), sk_c7))),
% 2.30/2.46 inference(unit_resolution,[status(thm)],[692, 27])).
% 2.30/2.46 tff(694,plain,
% 2.30/2.46 (multiply(sk_c3, sk_c7) = multiply(sk_c3, sk_c5)),
% 2.30/2.46 inference(monotonicity,[status(thm)],[597])).
% 2.30/2.46 tff(695,plain,
% 2.30/2.46 (multiply(sk_c3, sk_c5) = multiply(sk_c3, sk_c7)),
% 2.30/2.46 inference(symmetry,[status(thm)],[694])).
% 2.30/2.46 tff(696,plain,
% 2.30/2.46 (multiply(sk_c3, sk_c5) = multiply(sk_c3, multiply(sk_c6, sk_c7))),
% 2.30/2.46 inference(monotonicity,[status(thm)],[120])).
% 2.30/2.46 tff(697,plain,
% 2.30/2.46 (multiply(sk_c3, multiply(sk_c6, sk_c7)) = multiply(sk_c3, sk_c5)),
% 2.30/2.46 inference(symmetry,[status(thm)],[696])).
% 2.30/2.46 tff(698,plain,
% 2.30/2.46 (multiply(multiply(sk_c3, sk_c6), sk_c7) = multiply(sk_c7, sk_c7)),
% 2.30/2.46 inference(monotonicity,[status(thm)],[503])).
% 2.30/2.46 tff(699,plain,
% 2.30/2.46 (multiply(sk_c7, sk_c7) = multiply(multiply(sk_c3, sk_c6), sk_c7)),
% 2.30/2.46 inference(symmetry,[status(thm)],[698])).
% 2.30/2.46 tff(700,plain,
% 2.30/2.46 (multiply(sk_c3, multiply(sk_c1, sk_c7)) = multiply(sk_c3, sk_c6)),
% 2.30/2.46 inference(monotonicity,[status(thm)],[594])).
% 2.30/2.46 tff(701,plain,
% 2.30/2.46 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c1), sk_c7) = multiply(sk_c3, multiply(sk_c1, sk_c7)))),
% 2.30/2.46 inference(quant_inst,[status(thm)],[])).
% 2.30/2.46 tff(702,plain,
% 2.30/2.46 (multiply(multiply(sk_c3, sk_c1), sk_c7) = multiply(sk_c3, multiply(sk_c1, sk_c7))),
% 2.30/2.46 inference(unit_resolution,[status(thm)],[701, 27])).
% 2.30/2.46 tff(703,plain,
% 2.30/2.46 (multiply(multiply(sk_c3, sk_c1), sk_c7) = sk_c7),
% 2.30/2.46 inference(transitivity,[status(thm)],[702, 700, 503])).
% 2.30/2.46 tff(704,plain,
% 2.30/2.46 (multiply(sk_c7, multiply(multiply(sk_c3, sk_c1), sk_c7)) = multiply(sk_c7, sk_c7)),
% 2.30/2.46 inference(monotonicity,[status(thm)],[703])).
% 2.30/2.46 tff(705,plain,
% 2.30/2.46 (multiply(sk_c7, multiply(multiply(sk_c3, sk_c1), sk_c7)) = multiply(sk_c3, sk_c7)),
% 2.30/2.46 inference(transitivity,[status(thm)],[704, 699, 160, 697, 695])).
% 2.30/2.46 tff(706,plain,
% 2.30/2.46 (multiply(sk_c5, multiply(sk_c7, multiply(multiply(sk_c3, sk_c1), sk_c7))) = multiply(sk_c7, multiply(sk_c3, sk_c7))),
% 2.30/2.46 inference(monotonicity,[status(thm)],[615, 705])).
% 2.30/2.46 tff(707,plain,
% 2.30/2.46 (multiply(sk_c7, multiply(sk_c3, sk_c7)) = multiply(sk_c5, multiply(sk_c7, multiply(multiply(sk_c3, sk_c1), sk_c7)))),
% 2.30/2.46 inference(symmetry,[status(thm)],[706])).
% 2.30/2.46 tff(708,plain,
% 2.30/2.46 ((~![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)))),
% 2.30/2.46 inference(quant_inst,[status(thm)],[])).
% 2.30/2.46 tff(709,plain,
% 2.30/2.46 (multiply(multiply(sk_c7, sk_c3), sk_c7) = multiply(sk_c7, multiply(sk_c3, sk_c7))),
% 2.30/2.46 inference(unit_resolution,[status(thm)],[708, 27])).
% 2.30/2.46 tff(710,plain,
% 2.30/2.46 (multiply(sk_c7, sk_c3) = multiply(sk_c7, sk_c1)),
% 2.30/2.46 inference(transitivity,[status(thm)],[372, 142, 54, 435])).
% 2.30/2.46 tff(711,plain,
% 2.30/2.46 (multiply(multiply(sk_c7, sk_c3), sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 2.30/2.46 inference(monotonicity,[status(thm)],[710])).
% 2.30/2.46 tff(712,plain,
% 2.30/2.46 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(multiply(sk_c7, sk_c3), sk_c7)),
% 2.30/2.46 inference(symmetry,[status(thm)],[711])).
% 2.30/2.46 tff(713,plain,
% 2.30/2.46 (sk_c7 = multiply(sk_c5, multiply(sk_c7, multiply(multiply(sk_c3, sk_c1), sk_c7)))),
% 2.30/2.46 inference(transitivity,[status(thm)],[57, 437, 712, 709, 707])).
% 2.30/2.46 tff(714,plain,
% 2.30/2.46 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c1)), sk_c7) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c1)), multiply(sk_c5, multiply(sk_c7, multiply(multiply(sk_c3, sk_c1), sk_c7))))),
% 2.30/2.46 inference(monotonicity,[status(thm)],[713])).
% 2.30/2.46 tff(715,plain,
% 2.30/2.46 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c1)), multiply(sk_c5, multiply(sk_c7, multiply(multiply(sk_c3, sk_c1), sk_c7)))) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c1)), sk_c7)),
% 2.30/2.46 inference(symmetry,[status(thm)],[714])).
% 2.30/2.46 tff(716,plain,
% 2.30/2.46 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c1)), sk_c5), multiply(sk_c7, multiply(multiply(sk_c3, sk_c1), sk_c7))) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c1)), multiply(sk_c5, multiply(sk_c7, multiply(multiply(sk_c3, sk_c1), sk_c7)))))),
% 2.30/2.46 inference(quant_inst,[status(thm)],[])).
% 2.30/2.46 tff(717,plain,
% 2.30/2.46 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c1)), sk_c5), multiply(sk_c7, multiply(multiply(sk_c3, sk_c1), sk_c7))) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c1)), multiply(sk_c5, multiply(sk_c7, multiply(multiply(sk_c3, sk_c1), sk_c7))))),
% 2.30/2.46 inference(unit_resolution,[status(thm)],[716, 27])).
% 2.30/2.46 tff(718,plain,
% 2.30/2.46 (multiply(sk_c7, multiply(multiply(sk_c3, sk_c1), sk_c7)) = multiply(sk_c6, multiply(sk_c1, sk_c7))),
% 2.30/2.46 inference(transitivity,[status(thm)],[704, 623, 621, 620, 618])).
% 2.30/2.46 tff(719,plain,
% 2.30/2.46 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c1)), sk_c5), multiply(sk_c7, multiply(multiply(sk_c3, sk_c1), sk_c7))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c1)), sk_c5), multiply(sk_c6, multiply(sk_c1, sk_c7)))),
% 2.30/2.46 inference(monotonicity,[status(thm)],[718])).
% 2.30/2.46 tff(720,plain,
% 2.30/2.46 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c1)), sk_c5), multiply(sk_c6, multiply(sk_c1, sk_c7))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c1)), sk_c5), multiply(sk_c7, multiply(multiply(sk_c3, sk_c1), sk_c7)))),
% 2.30/2.46 inference(symmetry,[status(thm)],[719])).
% 2.30/2.46 tff(721,plain,
% 2.30/2.46 (multiply(sk_c6, sk_c3) = multiply(multiply(sk_c1, sk_c7), sk_c3)),
% 2.30/2.46 inference(monotonicity,[status(thm)],[608])).
% 2.30/2.46 tff(722,plain,
% 2.30/2.46 (multiply(multiply(sk_c1, sk_c7), sk_c3) = multiply(sk_c6, sk_c3)),
% 2.30/2.46 inference(symmetry,[status(thm)],[721])).
% 2.30/2.46 tff(723,plain,
% 2.30/2.46 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c7), sk_c3) = multiply(sk_c1, multiply(sk_c7, sk_c3)))),
% 2.30/2.46 inference(quant_inst,[status(thm)],[])).
% 2.30/2.46 tff(724,plain,
% 2.30/2.46 (multiply(multiply(sk_c1, sk_c7), sk_c3) = multiply(sk_c1, multiply(sk_c7, sk_c3))),
% 2.30/2.46 inference(unit_resolution,[status(thm)],[723, 27])).
% 2.30/2.46 tff(725,plain,
% 2.30/2.46 (multiply(sk_c1, multiply(sk_c7, sk_c3)) = multiply(multiply(sk_c1, sk_c7), sk_c3)),
% 2.30/2.46 inference(symmetry,[status(thm)],[724])).
% 2.30/2.46 tff(726,plain,
% 2.30/2.46 (multiply(sk_c1, multiply(sk_c7, sk_c3)) = multiply(sk_c1, multiply(sk_c7, sk_c1))),
% 2.30/2.46 inference(monotonicity,[status(thm)],[710])).
% 2.30/2.46 tff(727,plain,
% 2.30/2.46 (multiply(sk_c1, multiply(sk_c7, sk_c1)) = multiply(sk_c1, multiply(sk_c7, sk_c3))),
% 2.30/2.46 inference(symmetry,[status(thm)],[726])).
% 2.30/2.46 tff(728,plain,
% 2.30/2.46 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c1)), sk_c5) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c1)), sk_c7)),
% 2.30/2.46 inference(monotonicity,[status(thm)],[615])).
% 2.30/2.46 tff(729,plain,
% 2.30/2.46 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c1)), sk_c5) = multiply(sk_c6, sk_c3)),
% 2.30/2.46 inference(transitivity,[status(thm)],[728, 693, 691, 727, 725, 722])).
% 2.30/2.46 tff(730,plain,
% 2.30/2.46 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c1)), sk_c5), multiply(sk_c6, multiply(sk_c1, sk_c7))) = multiply(multiply(sk_c6, sk_c3), sk_c6)),
% 2.30/2.46 inference(monotonicity,[status(thm)],[729, 611])).
% 2.30/2.46 tff(731,plain,
% 2.30/2.46 (multiply(multiply(sk_c6, sk_c3), sk_c6) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c1)), sk_c5), multiply(sk_c6, multiply(sk_c1, sk_c7)))),
% 2.30/2.46 inference(symmetry,[status(thm)],[730])).
% 2.30/2.46 tff(732,plain,
% 2.30/2.46 (multiply(sk_c6, multiply(sk_c3, sk_c6)) = multiply(sk_c6, sk_c7)),
% 2.30/2.46 inference(monotonicity,[status(thm)],[503])).
% 2.30/2.46 tff(733,plain,
% 2.30/2.46 (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c3, sk_c6))),
% 2.30/2.46 inference(symmetry,[status(thm)],[732])).
% 2.30/2.46 tff(734,plain,
% 2.30/2.46 (sk_c5 = sk_c1),
% 2.30/2.46 inference(transitivity,[status(thm)],[120, 733, 363, 731, 720, 717, 715, 693, 691, 686, 683, 681, 677, 674, 669, 666, 664])).
% 2.30/2.46 tff(735,plain,
% 2.30/2.46 (inverse(sk_c5) = inverse(sk_c1)),
% 2.30/2.46 inference(monotonicity,[status(thm)],[734])).
% 2.30/2.46 tff(736,plain,
% 2.30/2.46 (inverse(sk_c5) = sk_c6),
% 2.30/2.46 inference(transitivity,[status(thm)],[735, 432, 57, 437, 37, 595, 214, 120, 662, 660, 635, 633, 623, 621, 620, 618, 610, 607, 605, 603, 601, 594])).
% 2.30/2.46 tff(737,plain,
% 2.30/2.46 (multiply(sk_c5, sk_c7) = multiply(sk_c7, sk_c7)),
% 2.30/2.46 inference(monotonicity,[status(thm)],[615])).
% 2.30/2.46 tff(738,plain,
% 2.30/2.46 (multiply(sk_c5, sk_c7) = sk_c6),
% 2.30/2.46 inference(transitivity,[status(thm)],[737, 623, 621, 620, 618, 610, 607, 605, 603, 601, 594])).
% 2.30/2.46 tff(739,plain,
% 2.30/2.46 (multiply(multiply(sk_c2, sk_c5), sk_c5) = multiply(sk_c7, sk_c7)),
% 2.30/2.46 inference(monotonicity,[status(thm)],[630, 615])).
% 2.30/2.46 tff(740,plain,
% 2.30/2.46 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c5), sk_c5) = multiply(sk_c2, multiply(sk_c5, sk_c5)))),
% 2.30/2.46 inference(quant_inst,[status(thm)],[])).
% 2.30/2.46 tff(741,plain,
% 2.30/2.46 (multiply(multiply(sk_c2, sk_c5), sk_c5) = multiply(sk_c2, multiply(sk_c5, sk_c5))),
% 2.30/2.46 inference(unit_resolution,[status(thm)],[740, 27])).
% 2.30/2.46 tff(742,plain,
% 2.30/2.46 (multiply(sk_c2, multiply(sk_c5, sk_c5)) = multiply(multiply(sk_c2, sk_c5), sk_c5)),
% 2.30/2.46 inference(symmetry,[status(thm)],[741])).
% 2.30/2.46 tff(743,plain,
% 2.30/2.46 (multiply(sk_c6, multiply(sk_c1, sk_c7)) = multiply(sk_c5, sk_c5)),
% 2.30/2.46 inference(transitivity,[status(thm)],[649, 619, 202, 622, 648])).
% 2.30/2.46 tff(744,plain,
% 2.30/2.46 (multiply(sk_c2, multiply(sk_c6, multiply(sk_c1, sk_c7))) = multiply(sk_c2, multiply(sk_c5, sk_c5))),
% 2.30/2.46 inference(monotonicity,[status(thm)],[743])).
% 2.30/2.46 tff(745,plain,
% 2.30/2.46 (sk_c6 = multiply(sk_c6, multiply(sk_c1, sk_c7))),
% 2.30/2.46 inference(transitivity,[status(thm)],[608, 600, 602, 616, 606, 609])).
% 2.30/2.46 tff(746,plain,
% 2.30/2.46 (multiply(sk_c2, sk_c6) = multiply(sk_c2, multiply(sk_c6, multiply(sk_c1, sk_c7)))),
% 2.30/2.46 inference(monotonicity,[status(thm)],[745])).
% 2.30/2.46 tff(747,plain,
% 2.30/2.46 (multiply(sk_c2, sk_c6) = multiply(sk_c6, sk_c6)),
% 2.30/2.46 inference(transitivity,[status(thm)],[746, 744, 742, 739, 623, 621, 620, 618, 610])).
% 2.30/2.46 tff(748,plain,
% 2.30/2.46 ((multiply(sk_c2, sk_c6) = sk_c7) <=> (multiply(sk_c6, sk_c6) = sk_c7)),
% 2.30/2.46 inference(monotonicity,[status(thm)],[747])).
% 2.30/2.46 tff(749,plain,
% 2.30/2.46 ((multiply(sk_c6, sk_c6) = sk_c7) <=> (multiply(sk_c2, sk_c6) = sk_c7)),
% 2.30/2.46 inference(symmetry,[status(thm)],[748])).
% 2.30/2.46 tff(750,plain,
% 2.30/2.46 (multiply(sk_c5, multiply(sk_c2, sk_c5)) = multiply(multiply(sk_c5, sk_c2), sk_c5)),
% 2.30/2.46 inference(symmetry,[status(thm)],[635])).
% 2.30/2.46 tff(751,plain,
% 2.30/2.46 (multiply(sk_c6, sk_c6) = sk_c7),
% 2.30/2.46 inference(transitivity,[status(thm)],[609, 649, 619, 202, 622, 632, 750, 659, 661, 119, 238, 596, 236, 438, 9])).
% 2.30/2.46 tff(752,plain,
% 2.30/2.46 (multiply(sk_c2, sk_c6) = sk_c7),
% 2.30/2.46 inference(modus_ponens,[status(thm)],[751, 749])).
% 2.30/2.46 tff(753,plain,
% 2.30/2.46 (inverse(sk_c5) = sk_c7),
% 2.30/2.46 inference(transitivity,[status(thm)],[735, 432])).
% 2.30/2.46 tff(754,plain,
% 2.30/2.46 (multiply(sk_c5, sk_c5) = sk_c6),
% 2.30/2.46 inference(transitivity,[status(thm)],[647, 623, 621, 620, 618, 610, 607, 605, 603, 601, 594])).
% 2.30/2.46 tff(755,plain,
% 2.30/2.46 (inverse(sk_c2) = sk_c7),
% 2.30/2.46 inference(transitivity,[status(thm)],[655, 238, 596, 236, 438, 9])).
% 2.30/2.46 tff(756,plain,
% 2.30/2.46 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c2) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c5, sk_c5) = sk_c6)) | (~(inverse(sk_c5) = sk_c6)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c2) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c5, sk_c5) = sk_c6)) | (~(inverse(sk_c5) = sk_c6)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c6)))),
% 2.30/2.46 inference(rewrite,[status(thm)],[])).
% 2.30/2.46 tff(757,plain,
% 2.30/2.46 (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c5) = sk_c6)) | (~(inverse(sk_c5) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c2) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c2) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c5, sk_c5) = sk_c6)) | (~(inverse(sk_c5) = sk_c6)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c6)))),
% 2.30/2.46 inference(rewrite,[status(thm)],[])).
% 2.30/2.46 tff(758,plain,
% 2.30/2.46 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c5) = sk_c6)) | (~(inverse(sk_c5) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c2) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c2) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c5, sk_c5) = sk_c6)) | (~(inverse(sk_c5) = sk_c6)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c6))))),
% 2.30/2.46 inference(monotonicity,[status(thm)],[757])).
% 2.30/2.46 tff(759,plain,
% 2.30/2.46 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c5) = sk_c6)) | (~(inverse(sk_c5) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c2) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c2) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c5, sk_c5) = sk_c6)) | (~(inverse(sk_c5) = sk_c6)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c6)))),
% 2.30/2.47 inference(transitivity,[status(thm)],[758, 756])).
% 2.30/2.47 tff(760,plain,
% 2.30/2.47 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c5, sk_c5) = sk_c6)) | (~(inverse(sk_c5) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c2) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c6)))),
% 2.30/2.47 inference(quant_inst,[status(thm)],[])).
% 2.30/2.47 tff(761,plain,
% 2.30/2.47 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c2) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c5, sk_c5) = sk_c6)) | (~(inverse(sk_c5) = sk_c6)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c6))),
% 2.30/2.47 inference(modus_ponens,[status(thm)],[760, 759])).
% 2.30/2.47 tff(762,plain,
% 2.30/2.47 ((~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c6)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c6))),
% 2.30/2.47 inference(unit_resolution,[status(thm)],[761, 214, 119, 630, 655, 293, 755, 754])).
% 2.30/2.47 tff(763,plain,
% 2.30/2.47 (~(inverse(sk_c5) = sk_c6)),
% 2.30/2.47 inference(unit_resolution,[status(thm)],[762, 753, 752, 738])).
% 2.30/2.47 tff(764,plain,
% 2.30/2.47 ($false),
% 2.30/2.47 inference(unit_resolution,[status(thm)],[763, 736])).
% 2.30/2.47 tff(765,plain,(inverse(sk_c4) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 2.30/2.47 tff(766,plain,
% 2.30/2.47 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c4) = sk_c4)),
% 2.30/2.47 inference(quant_inst,[status(thm)],[])).
% 2.30/2.47 tff(767,plain,
% 2.30/2.47 (multiply(identity, sk_c4) = sk_c4),
% 2.30/2.47 inference(unit_resolution,[status(thm)],[766, 7])).
% 2.30/2.47 tff(768,plain,
% 2.30/2.47 (sk_c6 = inverse(sk_c4)),
% 2.30/2.47 inference(symmetry,[status(thm)],[765])).
% 2.30/2.47 tff(769,plain,
% 2.30/2.47 (multiply(sk_c7, sk_c3) = identity),
% 2.30/2.47 inference(transitivity,[status(thm)],[372, 142])).
% 2.30/2.47 tff(770,plain,
% 2.30/2.47 (multiply(multiply(sk_c7, sk_c3), sk_c6) = multiply(identity, multiply(sk_c6, multiply(sk_c1, sk_c7)))),
% 2.30/2.47 inference(monotonicity,[status(thm)],[769, 745])).
% 2.30/2.47 tff(771,plain,
% 2.30/2.47 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(sk_c3, sk_c6))),
% 2.30/2.47 inference(monotonicity,[status(thm)],[568])).
% 2.30/2.47 tff(772,plain,
% 2.30/2.47 (multiply(sk_c7, multiply(sk_c3, sk_c6)) = multiply(sk_c7, sk_c7)),
% 2.30/2.47 inference(symmetry,[status(thm)],[771])).
% 2.30/2.47 tff(773,plain,
% 2.30/2.47 (multiply(identity, multiply(sk_c6, multiply(sk_c1, sk_c7))) = multiply(multiply(sk_c7, sk_c3), sk_c6)),
% 2.30/2.47 inference(symmetry,[status(thm)],[770])).
% 2.30/2.47 tff(774,plain,
% 2.30/2.47 (sk_c6 = multiply(sk_c5, sk_c5)),
% 2.30/2.47 inference(transitivity,[status(thm)],[608, 600, 602, 616, 606, 609, 649, 773, 202, 772, 648])).
% 2.30/2.47 tff(775,plain,
% 2.30/2.47 (multiply(inverse(sk_c6), sk_c6) = multiply(inverse(sk_c6), multiply(sk_c5, sk_c5))),
% 2.30/2.47 inference(monotonicity,[status(thm)],[774])).
% 2.30/2.47 tff(776,plain,
% 2.30/2.47 (identity = inverse(sk_c4)),
% 2.30/2.47 inference(transitivity,[status(thm)],[111, 775, 646, 643, 771, 621, 770, 618, 610, 607, 605, 603, 601, 594, 768])).
% 2.30/2.47 tff(777,plain,
% 2.30/2.47 (multiply(identity, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 2.30/2.47 inference(monotonicity,[status(thm)],[776])).
% 2.30/2.47 tff(778,plain,
% 2.30/2.47 (multiply(inverse(sk_c4), sk_c4) = multiply(identity, sk_c4)),
% 2.30/2.47 inference(symmetry,[status(thm)],[777])).
% 2.30/2.47 tff(779,plain,
% 2.30/2.47 (multiply(inverse(sk_c6), multiply(sk_c5, sk_c5)) = multiply(inverse(sk_c6), sk_c6)),
% 2.30/2.47 inference(symmetry,[status(thm)],[775])).
% 2.30/2.47 tff(780,plain,
% 2.30/2.47 (multiply(sk_c7, sk_c7) = multiply(multiply(inverse(sk_c6), sk_c5), sk_c5)),
% 2.30/2.47 inference(symmetry,[status(thm)],[643])).
% 2.30/2.47 tff(781,plain,
% 2.30/2.47 (sk_c6 = sk_c4),
% 2.30/2.47 inference(transitivity,[status(thm)],[608, 600, 602, 616, 606, 609, 649, 773, 202, 772, 780, 645, 779, 94, 137, 778, 767])).
% 2.30/2.47 tff(782,plain,
% 2.30/2.47 (inverse(sk_c6) = inverse(sk_c4)),
% 2.30/2.47 inference(monotonicity,[status(thm)],[781])).
% 2.30/2.47 tff(783,plain,
% 2.30/2.47 (inverse(sk_c6) = multiply(sk_c6, sk_c6)),
% 2.30/2.47 inference(transitivity,[status(thm)],[782, 765, 608, 600, 602, 616, 606])).
% 2.30/2.47 tff(784,plain,
% 2.30/2.47 ((inverse(sk_c6) = sk_c5) <=> (multiply(sk_c6, sk_c6) = sk_c7)),
% 2.30/2.47 inference(monotonicity,[status(thm)],[783, 615])).
% 2.30/2.47 tff(785,plain,
% 2.30/2.47 ((multiply(sk_c6, sk_c6) = sk_c7) <=> (inverse(sk_c6) = sk_c5)),
% 2.30/2.47 inference(symmetry,[status(thm)],[784])).
% 2.30/2.47 tff(786,plain,
% 2.30/2.47 ((sk_c7 = multiply(sk_c6, sk_c6)) <=> (multiply(sk_c6, sk_c6) = sk_c7)),
% 2.30/2.47 inference(commutativity,[status(thm)],[])).
% 2.30/2.47 tff(787,plain,
% 2.30/2.47 (sk_c6 = multiply(sk_c6, sk_c6)),
% 2.30/2.47 inference(transitivity,[status(thm)],[608, 600, 602, 616, 606])).
% 2.30/2.47 tff(788,plain,
% 2.30/2.47 (sk_c4 = multiply(identity, sk_c4)),
% 2.30/2.47 inference(symmetry,[status(thm)],[767])).
% 2.30/2.47 tff(789,plain,
% 2.30/2.47 (sk_c4 = sk_c6),
% 2.30/2.47 inference(transitivity,[status(thm)],[788, 777, 136, 111, 775, 646, 643, 771, 621, 770, 618, 610, 607, 605, 603, 601, 594])).
% 2.30/2.47 tff(790,plain,
% 2.30/2.47 (multiply(sk_c4, sk_c5) = multiply(sk_c6, sk_c5)),
% 2.30/2.47 inference(monotonicity,[status(thm)],[789])).
% 2.30/2.47 tff(791,plain,
% 2.30/2.47 (multiply(sk_c4, sk_c5) = sk_c7),
% 2.30/2.47 inference(transitivity,[status(thm)],[790, 661, 119, 238, 596, 236, 438, 9])).
% 2.30/2.47 tff(792,plain,
% 2.30/2.47 ((multiply(sk_c4, sk_c5) = sk_c6) <=> (sk_c7 = multiply(sk_c6, sk_c6))),
% 2.30/2.47 inference(monotonicity,[status(thm)],[791, 787])).
% 2.30/2.47 tff(793,plain,
% 2.30/2.47 ((multiply(sk_c4, sk_c5) = sk_c6) <=> (multiply(sk_c6, sk_c6) = sk_c7)),
% 2.30/2.47 inference(transitivity,[status(thm)],[792, 786])).
% 2.30/2.47 tff(794,plain,
% 2.30/2.47 ((multiply(sk_c4, sk_c5) = sk_c6) <=> (inverse(multiply(sk_c6, multiply(sk_c1, sk_c7))) = sk_c5)),
% 2.30/2.47 inference(transitivity,[status(thm)],[793, 785, 614])).
% 2.30/2.47 tff(795,assumption,(multiply(sk_c4, sk_c5) = sk_c6), introduced(assumption)).
% 2.30/2.47 tff(796,plain,
% 2.30/2.47 (inverse(multiply(sk_c6, multiply(sk_c1, sk_c7))) = sk_c5),
% 2.30/2.47 inference(modus_ponens,[status(thm)],[795, 794])).
% 2.30/2.47 tff(797,plain,
% 2.30/2.47 (multiply(sk_c5, sk_c7) = sk_c6),
% 2.30/2.47 inference(transitivity,[status(thm)],[737, 771, 621, 770, 618, 610, 607, 605, 603, 601, 594])).
% 2.30/2.47 tff(798,plain,
% 2.30/2.47 (multiply(sk_c5, sk_c6) = multiply(sk_c7, sk_c6)),
% 2.30/2.47 inference(monotonicity,[status(thm)],[615])).
% 2.30/2.47 tff(799,plain,
% 2.30/2.47 (multiply(sk_c5, sk_c6) = sk_c7),
% 2.30/2.47 inference(transitivity,[status(thm)],[798, 596, 236, 438, 9])).
% 2.30/2.47 tff(800,plain,
% 2.30/2.47 (multiply(sk_c7, multiply(multiply(sk_c3, sk_c1), sk_c7)) = multiply(sk_c6, multiply(sk_c1, sk_c7))),
% 2.30/2.47 inference(transitivity,[status(thm)],[704, 771, 621, 770, 618])).
% 2.30/2.47 tff(801,plain,
% 2.30/2.47 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c1)), sk_c5), multiply(sk_c7, multiply(multiply(sk_c3, sk_c1), sk_c7))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c1)), sk_c5), multiply(sk_c6, multiply(sk_c1, sk_c7)))),
% 2.30/2.47 inference(monotonicity,[status(thm)],[800])).
% 2.30/2.47 tff(802,plain,
% 2.30/2.47 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c1)), sk_c5), multiply(sk_c6, multiply(sk_c1, sk_c7))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c1)), sk_c5), multiply(sk_c7, multiply(multiply(sk_c3, sk_c1), sk_c7)))),
% 2.30/2.47 inference(symmetry,[status(thm)],[801])).
% 2.30/2.47 tff(803,plain,
% 2.30/2.47 (sk_c5 = sk_c1),
% 2.30/2.47 inference(transitivity,[status(thm)],[120, 733, 363, 731, 802, 717, 715, 693, 691, 686, 683, 681, 677, 674, 669, 666, 664])).
% 2.30/2.47 tff(804,plain,
% 2.30/2.47 (inverse(sk_c5) = inverse(sk_c1)),
% 2.30/2.47 inference(monotonicity,[status(thm)],[803])).
% 2.30/2.47 tff(805,plain,
% 2.30/2.47 (inverse(sk_c5) = sk_c7),
% 2.30/2.47 inference(transitivity,[status(thm)],[804, 432])).
% 2.30/2.47 tff(806,plain,
% 2.30/2.47 (multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c5) = sk_c7),
% 2.30/2.47 inference(transitivity,[status(thm)],[670, 661, 119, 238, 596, 236, 438, 9])).
% 2.30/2.47 tff(807,plain,
% 2.30/2.47 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c4, sk_c5) = sk_c6)) | (~(inverse(sk_c4) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(inverse(multiply(sk_c6, multiply(sk_c1, sk_c7))) = sk_c5)) | (~(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c5) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c4, sk_c5) = sk_c6)) | (~(inverse(sk_c4) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(inverse(multiply(sk_c6, multiply(sk_c1, sk_c7))) = sk_c5)) | (~(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c5) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c6)))),
% 2.30/2.47 inference(rewrite,[status(thm)],[])).
% 2.30/2.47 tff(808,plain,
% 2.30/2.47 (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c4, sk_c5) = sk_c6)) | (~(inverse(sk_c4) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(inverse(multiply(sk_c6, multiply(sk_c1, sk_c7))) = sk_c5)) | (~(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c5) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c4, sk_c5) = sk_c6)) | (~(inverse(sk_c4) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(inverse(multiply(sk_c6, multiply(sk_c1, sk_c7))) = sk_c5)) | (~(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c5) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c6)))),
% 2.30/2.47 inference(rewrite,[status(thm)],[])).
% 2.30/2.47 tff(809,plain,
% 2.30/2.47 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c4, sk_c5) = sk_c6)) | (~(inverse(sk_c4) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(inverse(multiply(sk_c6, multiply(sk_c1, sk_c7))) = sk_c5)) | (~(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c5) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c4, sk_c5) = sk_c6)) | (~(inverse(sk_c4) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(inverse(multiply(sk_c6, multiply(sk_c1, sk_c7))) = sk_c5)) | (~(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c5) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c6))))),
% 2.30/2.47 inference(monotonicity,[status(thm)],[808])).
% 2.30/2.47 tff(810,plain,
% 2.30/2.47 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c4, sk_c5) = sk_c6)) | (~(inverse(sk_c4) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(inverse(multiply(sk_c6, multiply(sk_c1, sk_c7))) = sk_c5)) | (~(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c5) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c4, sk_c5) = sk_c6)) | (~(inverse(sk_c4) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(inverse(multiply(sk_c6, multiply(sk_c1, sk_c7))) = sk_c5)) | (~(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c5) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c6)))),
% 2.30/2.47 inference(transitivity,[status(thm)],[809, 807])).
% 2.30/2.47 tff(811,plain,
% 2.30/2.47 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c4, sk_c5) = sk_c6)) | (~(inverse(sk_c4) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(inverse(multiply(sk_c6, multiply(sk_c1, sk_c7))) = sk_c5)) | (~(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c5) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c6)))),
% 2.30/2.47 inference(quant_inst,[status(thm)],[])).
% 2.30/2.47 tff(812,plain,
% 2.30/2.47 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c4, sk_c5) = sk_c6)) | (~(inverse(sk_c4) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(inverse(multiply(sk_c6, multiply(sk_c1, sk_c7))) = sk_c5)) | (~(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c5) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c6))),
% 2.30/2.47 inference(modus_ponens,[status(thm)],[811, 810])).
% 2.30/2.47 tff(813,plain,
% 2.30/2.47 ((~(multiply(sk_c4, sk_c5) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(inverse(multiply(sk_c6, multiply(sk_c1, sk_c7))) = sk_c5)) | (~(multiply(sk_c5, sk_c7) = sk_c6))),
% 2.30/2.47 inference(unit_resolution,[status(thm)],[812, 214, 119, 765, 293, 806])).
% 2.30/2.47 tff(814,plain,
% 2.30/2.47 (~(inverse(multiply(sk_c6, multiply(sk_c1, sk_c7))) = sk_c5)),
% 2.30/2.47 inference(unit_resolution,[status(thm)],[813, 795, 805, 799, 797])).
% 2.30/2.47 tff(815,plain,
% 2.30/2.47 ($false),
% 2.30/2.47 inference(unit_resolution,[status(thm)],[814, 796])).
% 2.30/2.47 tff(816,plain,(~(multiply(sk_c4, sk_c5) = sk_c6)), inference(lemma,lemma(discharge,[]))).
% 2.30/2.47 tff(817,plain,
% 2.30/2.47 (((inverse(sk_c2) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)) <=> ((inverse(sk_c2) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6))),
% 2.30/2.47 inference(rewrite,[status(thm)],[])).
% 2.30/2.47 tff(818,axiom,((inverse(sk_c2) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_25')).
% 2.30/2.47 tff(819,plain,
% 2.30/2.47 ((inverse(sk_c2) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 2.30/2.47 inference(modus_ponens,[status(thm)],[818, 817])).
% 2.30/2.47 tff(820,plain,
% 2.30/2.47 (inverse(sk_c2) = sk_c5),
% 2.30/2.47 inference(unit_resolution,[status(thm)],[819, 816])).
% 2.30/2.47 tff(821,plain,
% 2.30/2.47 (sk_c5 = inverse(sk_c2)),
% 2.30/2.47 inference(symmetry,[status(thm)],[820])).
% 2.30/2.47 tff(822,plain,
% 2.30/2.47 (multiply(sk_c5, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 2.30/2.47 inference(monotonicity,[status(thm)],[821])).
% 2.30/2.47 tff(823,plain,
% 2.30/2.47 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c5, sk_c2)),
% 2.30/2.47 inference(symmetry,[status(thm)],[822])).
% 2.30/2.47 tff(824,plain,
% 2.30/2.47 (sk_c6 = multiply(sk_c5, sk_c2)),
% 2.30/2.47 inference(transitivity,[status(thm)],[608, 600, 602, 616, 606, 609, 649, 773, 202, 772, 780, 645, 779, 94, 266, 823])).
% 2.30/2.47 tff(825,plain,
% 2.30/2.47 (multiply(sk_c6, sk_c5) = multiply(multiply(sk_c5, sk_c2), sk_c5)),
% 2.30/2.47 inference(monotonicity,[status(thm)],[824])).
% 2.30/2.47 tff(826,plain,
% 2.30/2.47 (multiply(multiply(sk_c5, sk_c2), sk_c5) = multiply(sk_c6, sk_c5)),
% 2.30/2.47 inference(symmetry,[status(thm)],[825])).
% 2.30/2.47 tff(827,plain,
% 2.30/2.47 (((multiply(sk_c2, sk_c5) = sk_c7) | (multiply(sk_c4, sk_c5) = sk_c6)) <=> ((multiply(sk_c2, sk_c5) = sk_c7) | (multiply(sk_c4, sk_c5) = sk_c6))),
% 2.30/2.47 inference(rewrite,[status(thm)],[])).
% 2.30/2.47 tff(828,axiom,((multiply(sk_c2, sk_c5) = sk_c7) | (multiply(sk_c4, sk_c5) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_20')).
% 2.30/2.47 tff(829,plain,
% 2.30/2.47 ((multiply(sk_c2, sk_c5) = sk_c7) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 2.30/2.47 inference(modus_ponens,[status(thm)],[828, 827])).
% 2.30/2.47 tff(830,plain,
% 2.30/2.47 (multiply(sk_c2, sk_c5) = sk_c7),
% 2.30/2.47 inference(unit_resolution,[status(thm)],[829, 816])).
% 2.30/2.47 tff(831,plain,
% 2.30/2.47 (multiply(sk_c5, multiply(sk_c2, sk_c5)) = multiply(sk_c7, sk_c7)),
% 2.30/2.47 inference(monotonicity,[status(thm)],[615, 830])).
% 2.30/2.47 tff(832,plain,
% 2.30/2.47 (multiply(sk_c7, sk_c7) = multiply(sk_c5, multiply(sk_c2, sk_c5))),
% 2.30/2.47 inference(symmetry,[status(thm)],[831])).
% 2.30/2.47 tff(833,plain,
% 2.30/2.47 (multiply(sk_c6, sk_c6) = sk_c7),
% 2.30/2.47 inference(transitivity,[status(thm)],[609, 649, 773, 202, 772, 832, 750, 826, 599, 119, 238, 596, 236, 438, 9])).
% 2.30/2.47 tff(834,plain,
% 2.30/2.47 (multiply(sk_c4, sk_c5) = sk_c7),
% 2.30/2.47 inference(transitivity,[status(thm)],[790, 599, 119, 238, 596, 236, 438, 9])).
% 2.30/2.47 tff(835,plain,
% 2.30/2.47 ((multiply(sk_c4, sk_c5) = sk_c6) <=> (sk_c7 = multiply(sk_c6, sk_c6))),
% 2.30/2.47 inference(monotonicity,[status(thm)],[834, 787])).
% 2.30/2.47 tff(836,plain,
% 2.30/2.47 ((multiply(sk_c4, sk_c5) = sk_c6) <=> (multiply(sk_c6, sk_c6) = sk_c7)),
% 2.30/2.47 inference(transitivity,[status(thm)],[835, 786])).
% 2.30/2.47 tff(837,plain,
% 2.30/2.47 ((~(multiply(sk_c4, sk_c5) = sk_c6)) <=> (~(multiply(sk_c6, sk_c6) = sk_c7))),
% 2.30/2.47 inference(monotonicity,[status(thm)],[836])).
% 2.30/2.47 tff(838,plain,
% 2.30/2.47 (~(multiply(sk_c6, sk_c6) = sk_c7)),
% 2.30/2.47 inference(modus_ponens,[status(thm)],[816, 837])).
% 2.30/2.47 tff(839,plain,
% 2.30/2.47 ($false),
% 2.30/2.47 inference(unit_resolution,[status(thm)],[838, 833])).
% 2.30/2.47 % SZS output end Proof
% 2.30/2.48 % E exiting
%------------------------------------------------------------------------------