%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GRP211-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n009.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 05:07:28 AM UTC 2025
% Result : Unsatisfiable 27.08s 27.26s
% Output : Proof 27.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP211-1 : TPTP v9.0.0. Released v2.5.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 19 15:47:48 EDT 2025
% 0.12/0.33 % CPUTime :
% 27.08/27.26 % SZS status Unsatisfiable
% 27.08/27.26 % SZS output start Proof
% 27.08/27.26 tff(sk_c8_type, type, (
% 27.08/27.26 sk_c8: $i)).
% 27.08/27.26 tff(multiply_type, type, (
% 27.08/27.26 multiply: ( $i * $i ) > $i)).
% 27.08/27.26 tff(sk_c7_type, type, (
% 27.08/27.26 sk_c7: $i)).
% 27.08/27.26 tff(sk_c1_type, type, (
% 27.08/27.26 sk_c1: $i)).
% 27.08/27.26 tff(sk_c2_type, type, (
% 27.08/27.26 sk_c2: $i)).
% 27.08/27.26 tff(sk_c4_type, type, (
% 27.08/27.26 sk_c4: $i)).
% 27.08/27.26 tff(inverse_type, type, (
% 27.08/27.26 inverse: $i > $i)).
% 27.08/27.26 tff(sk_c5_type, type, (
% 27.08/27.26 sk_c5: $i)).
% 27.08/27.26 tff(sk_c3_type, type, (
% 27.08/27.26 sk_c3: $i)).
% 27.08/27.26 tff(identity_type, type, (
% 27.08/27.26 identity: $i)).
% 27.08/27.26 tff(sk_c6_type, type, (
% 27.08/27.26 sk_c6: $i)).
% 27.08/27.26 tff(1,plain,
% 27.08/27.26 (^[X: $i] : refl((multiply(identity, X) = X) <=> (multiply(identity, X) = X))),
% 27.08/27.26 inference(bind,[status(th)],[])).
% 27.08/27.26 tff(2,plain,
% 27.08/27.26 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 27.08/27.26 inference(quant_intro,[status(thm)],[1])).
% 27.08/27.26 tff(3,plain,
% 27.08/27.26 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 27.08/27.26 inference(rewrite,[status(thm)],[])).
% 27.08/27.26 tff(4,axiom,(![X: $i] : (multiply(identity, X) = X)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','left_identity')).
% 27.08/27.26 tff(5,plain,
% 27.08/27.26 (![X: $i] : (multiply(identity, X) = X)),
% 27.08/27.26 inference(modus_ponens,[status(thm)],[4, 3])).
% 27.08/27.26 tff(6,plain,(
% 27.08/27.26 ![X: $i] : (multiply(identity, X) = X)),
% 27.08/27.26 inference(skolemize,[status(sab)],[5])).
% 27.08/27.26 tff(7,plain,
% 27.08/27.26 (![X: $i] : (multiply(identity, X) = X)),
% 27.08/27.26 inference(modus_ponens,[status(thm)],[6, 2])).
% 27.08/27.26 tff(8,plain,
% 27.08/27.26 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c7) = sk_c7)),
% 27.08/27.26 inference(quant_inst,[status(thm)],[])).
% 27.08/27.26 tff(9,plain,
% 27.08/27.26 (multiply(identity, sk_c7) = sk_c7),
% 27.08/27.26 inference(unit_resolution,[status(thm)],[8, 7])).
% 27.08/27.26 tff(10,plain,
% 27.08/27.26 (^[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))))),
% 27.08/27.26 inference(bind,[status(th)],[])).
% 27.08/27.26 tff(11,plain,
% 27.08/27.26 (![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)))),
% 27.08/27.26 inference(quant_intro,[status(thm)],[10])).
% 27.08/27.26 tff(12,plain,
% 27.08/27.26 (![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)))),
% 27.08/27.26 inference(rewrite,[status(thm)],[])).
% 27.08/27.26 tff(13,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')).
% 27.08/27.26 tff(14,plain,
% 27.08/27.26 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 27.08/27.26 inference(modus_ponens,[status(thm)],[13, 12])).
% 27.08/27.26 tff(15,plain,(
% 27.08/27.26 ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 27.08/27.26 inference(skolemize,[status(sab)],[14])).
% 27.08/27.26 tff(16,plain,
% 27.08/27.26 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 27.08/27.26 inference(modus_ponens,[status(thm)],[15, 11])).
% 27.08/27.26 tff(17,plain,
% 27.08/27.26 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(sk_c3, sk_c1)), sk_c2) = multiply(sk_c8, multiply(multiply(sk_c3, sk_c1), sk_c2)))),
% 27.08/27.26 inference(quant_inst,[status(thm)],[])).
% 27.08/27.26 tff(18,plain,
% 27.08/27.26 (multiply(multiply(sk_c8, multiply(sk_c3, sk_c1)), sk_c2) = multiply(sk_c8, multiply(multiply(sk_c3, sk_c1), sk_c2))),
% 27.08/27.26 inference(unit_resolution,[status(thm)],[17, 16])).
% 27.08/27.26 tff(19,plain,
% 27.08/27.26 (multiply(sk_c8, multiply(multiply(sk_c3, sk_c1), sk_c2)) = multiply(multiply(sk_c8, multiply(sk_c3, sk_c1)), sk_c2)),
% 27.08/27.26 inference(symmetry,[status(thm)],[18])).
% 27.08/27.26 tff(20,assumption,(~(inverse(sk_c5) = sk_c8)), introduced(assumption)).
% 27.08/27.26 tff(21,plain,
% 27.08/27.26 (((inverse(sk_c3) = sk_c8) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c3) = sk_c8) | (inverse(sk_c5) = sk_c8))),
% 27.08/27.26 inference(rewrite,[status(thm)],[])).
% 27.08/27.26 tff(22,axiom,((inverse(sk_c3) = sk_c8) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_20')).
% 27.08/27.26 tff(23,plain,
% 27.08/27.26 ((inverse(sk_c3) = sk_c8) | (inverse(sk_c5) = sk_c8)),
% 27.08/27.26 inference(modus_ponens,[status(thm)],[22, 21])).
% 27.08/27.26 tff(24,plain,
% 27.08/27.26 (inverse(sk_c3) = sk_c8),
% 27.08/27.26 inference(unit_resolution,[status(thm)],[23, 20])).
% 27.08/27.26 tff(25,plain,
% 27.08/27.26 (sk_c8 = inverse(sk_c3)),
% 27.08/27.26 inference(symmetry,[status(thm)],[24])).
% 27.08/27.26 tff(26,plain,
% 27.08/27.26 (multiply(sk_c3, sk_c8) = multiply(sk_c3, inverse(sk_c3))),
% 27.08/27.26 inference(monotonicity,[status(thm)],[25])).
% 27.08/27.26 tff(27,plain,
% 27.08/27.26 (multiply(sk_c3, inverse(sk_c3)) = multiply(sk_c3, sk_c8)),
% 27.08/27.26 inference(symmetry,[status(thm)],[26])).
% 27.08/27.26 tff(28,plain,
% 27.08/27.26 (((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8)) <=> ((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8))),
% 27.08/27.26 inference(rewrite,[status(thm)],[])).
% 27.08/27.26 tff(29,axiom,((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_5')).
% 27.08/27.26 tff(30,plain,
% 27.08/27.26 ((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8)),
% 27.08/27.26 inference(modus_ponens,[status(thm)],[29, 28])).
% 27.08/27.26 tff(31,plain,
% 27.08/27.26 ((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8)),
% 27.08/27.26 inference(modus_ponens,[status(thm)],[30, 28])).
% 27.08/27.26 tff(32,plain,
% 27.08/27.26 ((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8)),
% 27.08/27.26 inference(modus_ponens,[status(thm)],[31, 28])).
% 27.08/27.26 tff(33,plain,
% 27.08/27.26 ((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8)),
% 27.08/27.26 inference(modus_ponens,[status(thm)],[32, 28])).
% 27.08/27.26 tff(34,plain,
% 27.08/27.26 ((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8)),
% 27.08/27.26 inference(modus_ponens,[status(thm)],[33, 28])).
% 27.08/27.26 tff(35,plain,
% 27.08/27.26 (multiply(sk_c1, sk_c2) = sk_c8),
% 27.08/27.26 inference(unit_resolution,[status(thm)],[34, 20])).
% 27.08/27.26 tff(36,plain,
% 27.08/27.26 (multiply(sk_c1, sk_c2) = inverse(sk_c3)),
% 27.08/27.26 inference(transitivity,[status(thm)],[35, 25])).
% 27.08/27.26 tff(37,plain,
% 27.08/27.26 (multiply(sk_c3, multiply(sk_c1, sk_c2)) = multiply(sk_c3, inverse(sk_c3))),
% 27.08/27.26 inference(monotonicity,[status(thm)],[36])).
% 27.08/27.26 tff(38,plain,
% 27.08/27.26 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c1), sk_c2) = multiply(sk_c3, multiply(sk_c1, sk_c2)))),
% 27.08/27.26 inference(quant_inst,[status(thm)],[])).
% 27.08/27.26 tff(39,plain,
% 27.08/27.26 (multiply(multiply(sk_c3, sk_c1), sk_c2) = multiply(sk_c3, multiply(sk_c1, sk_c2))),
% 27.08/27.26 inference(unit_resolution,[status(thm)],[38, 16])).
% 27.08/27.26 tff(40,plain,
% 27.08/27.26 (multiply(multiply(sk_c3, sk_c1), sk_c2) = multiply(sk_c3, sk_c8)),
% 27.08/27.26 inference(transitivity,[status(thm)],[39, 37, 27])).
% 27.08/27.26 tff(41,plain,
% 27.08/27.26 (multiply(sk_c8, multiply(multiply(sk_c3, sk_c1), sk_c2)) = multiply(sk_c8, multiply(sk_c3, sk_c8))),
% 27.08/27.26 inference(monotonicity,[status(thm)],[40])).
% 27.08/27.26 tff(42,plain,
% 27.08/27.26 (multiply(sk_c8, multiply(sk_c3, sk_c8)) = multiply(sk_c8, multiply(multiply(sk_c3, sk_c1), sk_c2))),
% 27.08/27.26 inference(symmetry,[status(thm)],[41])).
% 27.08/27.26 tff(43,plain,
% 27.08/27.26 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c3), sk_c8) = multiply(sk_c8, multiply(sk_c3, sk_c8)))),
% 27.08/27.26 inference(quant_inst,[status(thm)],[])).
% 27.08/27.26 tff(44,plain,
% 27.08/27.26 (multiply(multiply(sk_c8, sk_c3), sk_c8) = multiply(sk_c8, multiply(sk_c3, sk_c8))),
% 27.08/27.26 inference(unit_resolution,[status(thm)],[43, 16])).
% 27.08/27.26 tff(45,plain,
% 27.08/27.26 (multiply(sk_c8, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 27.08/27.26 inference(monotonicity,[status(thm)],[25])).
% 27.08/27.26 tff(46,plain,
% 27.08/27.26 (multiply(inverse(sk_c3), sk_c3) = multiply(sk_c8, sk_c3)),
% 27.08/27.26 inference(symmetry,[status(thm)],[45])).
% 27.08/27.26 tff(47,plain,
% 27.08/27.26 (^[X: $i] : refl((multiply(inverse(X), X) = identity) <=> (multiply(inverse(X), X) = identity))),
% 27.08/27.26 inference(bind,[status(th)],[])).
% 27.08/27.26 tff(48,plain,
% 27.08/27.26 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 27.08/27.26 inference(quant_intro,[status(thm)],[47])).
% 27.08/27.26 tff(49,plain,
% 27.08/27.26 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 27.08/27.26 inference(rewrite,[status(thm)],[])).
% 27.08/27.26 tff(50,axiom,(![X: $i] : (multiply(inverse(X), X) = identity)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','left_inverse')).
% 27.08/27.26 tff(51,plain,
% 27.08/27.26 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 27.08/27.26 inference(modus_ponens,[status(thm)],[50, 49])).
% 27.08/27.26 tff(52,plain,(
% 27.08/27.26 ![X: $i] : (multiply(inverse(X), X) = identity)),
% 27.08/27.26 inference(skolemize,[status(sab)],[51])).
% 27.08/27.26 tff(53,plain,
% 27.08/27.26 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 27.08/27.26 inference(modus_ponens,[status(thm)],[52, 48])).
% 27.08/27.26 tff(54,plain,
% 27.08/27.26 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c3), sk_c3) = identity)),
% 27.08/27.26 inference(quant_inst,[status(thm)],[])).
% 27.08/27.26 tff(55,plain,
% 27.08/27.26 (multiply(inverse(sk_c3), sk_c3) = identity),
% 27.08/27.26 inference(unit_resolution,[status(thm)],[54, 53])).
% 27.08/27.26 tff(56,plain,
% 27.08/27.26 (identity = multiply(inverse(sk_c3), sk_c3)),
% 27.08/27.26 inference(symmetry,[status(thm)],[55])).
% 27.08/27.26 tff(57,plain,
% 27.08/27.26 (identity = multiply(sk_c8, sk_c3)),
% 27.08/27.26 inference(transitivity,[status(thm)],[56, 46])).
% 27.08/27.26 tff(58,plain,
% 27.08/27.26 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c3), sk_c8)),
% 27.08/27.26 inference(monotonicity,[status(thm)],[57])).
% 27.08/27.26 tff(59,plain,
% 27.08/27.26 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c8) = sk_c8)),
% 27.08/27.26 inference(quant_inst,[status(thm)],[])).
% 27.08/27.26 tff(60,plain,
% 27.08/27.26 (multiply(identity, sk_c8) = sk_c8),
% 27.08/27.26 inference(unit_resolution,[status(thm)],[59, 7])).
% 27.08/27.26 tff(61,plain,
% 27.08/27.26 (sk_c8 = multiply(identity, sk_c8)),
% 27.08/27.26 inference(symmetry,[status(thm)],[60])).
% 27.08/27.26 tff(62,plain,
% 27.08/27.26 (sk_c8 = multiply(multiply(sk_c8, multiply(sk_c3, sk_c1)), sk_c2)),
% 27.08/27.26 inference(transitivity,[status(thm)],[61, 58, 44, 42, 19])).
% 27.08/27.26 tff(63,plain,
% 27.08/27.26 (multiply(sk_c8, multiply(sk_c3, sk_c3)) = multiply(multiply(multiply(sk_c8, multiply(sk_c3, sk_c1)), sk_c2), multiply(sk_c3, sk_c3))),
% 27.08/27.26 inference(monotonicity,[status(thm)],[62])).
% 27.08/27.26 tff(64,plain,
% 27.08/27.26 (multiply(multiply(multiply(sk_c8, multiply(sk_c3, sk_c1)), sk_c2), multiply(sk_c3, sk_c3)) = multiply(sk_c8, multiply(sk_c3, sk_c3))),
% 27.08/27.26 inference(symmetry,[status(thm)],[63])).
% 27.08/27.26 tff(65,plain,
% 27.08/27.26 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, multiply(sk_c3, sk_c1)), sk_c2), multiply(sk_c3, sk_c3)) = multiply(multiply(sk_c8, multiply(sk_c3, sk_c1)), multiply(sk_c2, multiply(sk_c3, sk_c3))))),
% 27.08/27.26 inference(quant_inst,[status(thm)],[])).
% 27.08/27.26 tff(66,plain,
% 27.08/27.26 (multiply(multiply(multiply(sk_c8, multiply(sk_c3, sk_c1)), sk_c2), multiply(sk_c3, sk_c3)) = multiply(multiply(sk_c8, multiply(sk_c3, sk_c1)), multiply(sk_c2, multiply(sk_c3, sk_c3)))),
% 27.08/27.26 inference(unit_resolution,[status(thm)],[65, 16])).
% 27.08/27.26 tff(67,plain,
% 27.08/27.26 (multiply(multiply(sk_c8, multiply(sk_c3, sk_c1)), multiply(sk_c2, multiply(sk_c3, sk_c3))) = multiply(multiply(multiply(sk_c8, multiply(sk_c3, sk_c1)), sk_c2), multiply(sk_c3, sk_c3))),
% 27.08/27.26 inference(symmetry,[status(thm)],[66])).
% 27.08/27.26 tff(68,plain,
% 27.08/27.26 (multiply(multiply(sk_c8, sk_c3), sk_c8) = multiply(identity, sk_c8)),
% 27.08/27.26 inference(symmetry,[status(thm)],[58])).
% 27.08/27.26 tff(69,plain,
% 27.08/27.26 (multiply(sk_c8, multiply(sk_c3, sk_c8)) = multiply(multiply(sk_c8, sk_c3), sk_c8)),
% 27.08/27.26 inference(symmetry,[status(thm)],[44])).
% 27.08/27.26 tff(70,plain,
% 27.08/27.26 (multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c8),
% 27.08/27.26 inference(transitivity,[status(thm)],[69, 68, 60])).
% 27.08/27.26 tff(71,plain,
% 27.08/27.26 (multiply(multiply(sk_c8, multiply(sk_c3, sk_c8)), multiply(sk_c3, sk_c3)) = multiply(sk_c8, multiply(sk_c3, sk_c3))),
% 27.08/27.26 inference(monotonicity,[status(thm)],[70])).
% 27.08/27.26 tff(72,plain,
% 27.08/27.26 (multiply(sk_c8, multiply(sk_c3, sk_c3)) = multiply(multiply(sk_c8, multiply(sk_c3, sk_c8)), multiply(sk_c3, sk_c3))),
% 27.08/27.26 inference(symmetry,[status(thm)],[71])).
% 27.08/27.26 tff(73,plain,
% 27.08/27.26 (((inverse(sk_c5) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c8)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c8))),
% 27.08/27.26 inference(rewrite,[status(thm)],[])).
% 27.08/27.26 tff(74,plain,
% 27.08/27.26 (((multiply(sk_c3, sk_c7) = sk_c8) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c8))),
% 27.08/27.26 inference(rewrite,[status(thm)],[])).
% 27.08/27.26 tff(75,axiom,((multiply(sk_c3, sk_c7) = sk_c8) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_25')).
% 27.08/27.26 tff(76,plain,
% 27.08/27.26 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c8)),
% 27.08/27.26 inference(modus_ponens,[status(thm)],[75, 74])).
% 27.08/27.26 tff(77,plain,
% 27.08/27.26 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c8)),
% 27.08/27.26 inference(modus_ponens,[status(thm)],[76, 73])).
% 27.08/27.26 tff(78,plain,
% 27.08/27.26 (multiply(sk_c3, sk_c7) = sk_c8),
% 27.08/27.26 inference(unit_resolution,[status(thm)],[77, 20])).
% 27.08/27.26 tff(79,plain,
% 27.08/27.26 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, sk_c3)) = multiply(sk_c8, multiply(sk_c3, sk_c3))),
% 27.08/27.26 inference(monotonicity,[status(thm)],[78])).
% 27.08/27.26 tff(80,plain,
% 27.08/27.26 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, sk_c3)) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c3))))),
% 27.08/27.26 inference(quant_inst,[status(thm)],[])).
% 27.08/27.26 tff(81,plain,
% 27.08/27.26 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, sk_c3)) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c3)))),
% 27.08/27.26 inference(unit_resolution,[status(thm)],[80, 16])).
% 27.08/27.26 tff(82,plain,
% 27.08/27.26 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c3))) = multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, sk_c3))),
% 27.08/27.26 inference(symmetry,[status(thm)],[81])).
% 27.08/27.26 tff(83,plain,
% 27.08/27.26 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c3), sk_c3) = multiply(sk_c7, multiply(sk_c3, sk_c3)))),
% 27.08/27.26 inference(quant_inst,[status(thm)],[])).
% 27.08/27.26 tff(84,plain,
% 27.08/27.26 (multiply(multiply(sk_c7, sk_c3), sk_c3) = multiply(sk_c7, multiply(sk_c3, sk_c3))),
% 27.08/27.26 inference(unit_resolution,[status(thm)],[83, 16])).
% 27.08/27.26 tff(85,plain,
% 27.08/27.26 (multiply(sk_c3, multiply(multiply(sk_c7, sk_c3), sk_c3)) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c3)))),
% 27.08/27.26 inference(monotonicity,[status(thm)],[84])).
% 27.08/27.26 tff(86,plain,
% 27.08/27.26 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, multiply(sk_c7, sk_c3)), sk_c3) = multiply(sk_c3, multiply(multiply(sk_c7, sk_c3), sk_c3)))),
% 27.08/27.26 inference(quant_inst,[status(thm)],[])).
% 27.08/27.26 tff(87,plain,
% 27.08/27.26 (multiply(multiply(sk_c3, multiply(sk_c7, sk_c3)), sk_c3) = multiply(sk_c3, multiply(multiply(sk_c7, sk_c3), sk_c3))),
% 27.08/27.26 inference(unit_resolution,[status(thm)],[86, 16])).
% 27.08/27.26 tff(88,plain,
% 27.08/27.26 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c7), sk_c3) = multiply(sk_c3, multiply(sk_c7, sk_c3)))),
% 27.08/27.26 inference(quant_inst,[status(thm)],[])).
% 27.08/27.26 tff(89,plain,
% 27.08/27.26 (multiply(multiply(sk_c3, sk_c7), sk_c3) = multiply(sk_c3, multiply(sk_c7, sk_c3))),
% 27.08/27.26 inference(unit_resolution,[status(thm)],[88, 16])).
% 27.08/27.26 tff(90,plain,
% 27.08/27.26 (multiply(sk_c3, sk_c7) = inverse(sk_c3)),
% 27.08/27.26 inference(transitivity,[status(thm)],[78, 25])).
% 27.08/27.26 tff(91,plain,
% 27.08/27.26 (multiply(multiply(sk_c3, sk_c7), sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 27.08/27.26 inference(monotonicity,[status(thm)],[90])).
% 27.08/27.26 tff(92,plain,
% 27.08/27.26 (multiply(inverse(sk_c3), sk_c3) = multiply(multiply(sk_c3, sk_c7), sk_c3)),
% 27.08/27.26 inference(symmetry,[status(thm)],[91])).
% 27.08/27.26 tff(93,plain,
% 27.08/27.26 (identity = multiply(sk_c3, multiply(sk_c7, sk_c3))),
% 27.08/27.26 inference(transitivity,[status(thm)],[56, 92, 89])).
% 27.08/27.26 tff(94,plain,
% 27.08/27.26 (multiply(identity, sk_c3) = multiply(multiply(sk_c3, multiply(sk_c7, sk_c3)), sk_c3)),
% 27.08/27.26 inference(monotonicity,[status(thm)],[93])).
% 27.08/27.26 tff(95,plain,
% 27.08/27.26 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c3) = sk_c3)),
% 27.08/27.26 inference(quant_inst,[status(thm)],[])).
% 27.08/27.26 tff(96,plain,
% 27.08/27.26 (multiply(identity, sk_c3) = sk_c3),
% 27.08/27.26 inference(unit_resolution,[status(thm)],[95, 7])).
% 27.08/27.26 tff(97,plain,
% 27.08/27.26 (sk_c3 = multiply(identity, sk_c3)),
% 27.08/27.26 inference(symmetry,[status(thm)],[96])).
% 27.08/27.26 tff(98,plain,
% 27.08/27.26 (sk_c3 = multiply(multiply(sk_c8, multiply(sk_c3, sk_c8)), multiply(sk_c3, sk_c3))),
% 27.08/27.26 inference(transitivity,[status(thm)],[97, 94, 87, 85, 82, 79, 72])).
% 27.08/27.26 tff(99,plain,
% 27.08/27.26 (sk_c8 = multiply(sk_c8, multiply(sk_c3, sk_c8))),
% 27.08/27.26 inference(transitivity,[status(thm)],[61, 58, 44])).
% 27.08/27.26 tff(100,plain,
% 27.08/27.26 (multiply(sk_c8, multiply(sk_c3, sk_c2)) = multiply(multiply(sk_c8, multiply(sk_c3, sk_c8)), multiply(sk_c3, sk_c2))),
% 27.08/27.26 inference(monotonicity,[status(thm)],[99])).
% 27.08/27.26 tff(101,plain,
% 27.08/27.26 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, sk_c2)) = multiply(sk_c8, multiply(sk_c3, sk_c2))),
% 27.08/27.26 inference(monotonicity,[status(thm)],[78])).
% 27.08/27.26 tff(102,plain,
% 27.08/27.26 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, sk_c2)) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c2))))),
% 27.08/27.26 inference(quant_inst,[status(thm)],[])).
% 27.08/27.26 tff(103,plain,
% 27.08/27.26 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, sk_c2)) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 27.08/27.26 inference(unit_resolution,[status(thm)],[102, 16])).
% 27.08/27.26 tff(104,plain,
% 27.08/27.26 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c2))) = multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, sk_c2))),
% 27.08/27.26 inference(symmetry,[status(thm)],[103])).
% 27.08/27.26 tff(105,plain,
% 27.08/27.26 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c3), sk_c2) = multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 27.08/27.26 inference(quant_inst,[status(thm)],[])).
% 27.08/27.26 tff(106,plain,
% 27.08/27.26 (multiply(multiply(sk_c7, sk_c3), sk_c2) = multiply(sk_c7, multiply(sk_c3, sk_c2))),
% 27.08/27.26 inference(unit_resolution,[status(thm)],[105, 16])).
% 27.08/27.26 tff(107,plain,
% 27.08/27.26 (multiply(sk_c3, multiply(multiply(sk_c7, sk_c3), sk_c2)) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 27.08/27.26 inference(monotonicity,[status(thm)],[106])).
% 27.08/27.26 tff(108,plain,
% 27.08/27.26 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, multiply(sk_c7, sk_c3)), sk_c2) = multiply(sk_c3, multiply(multiply(sk_c7, sk_c3), sk_c2)))),
% 27.08/27.26 inference(quant_inst,[status(thm)],[])).
% 27.08/27.26 tff(109,plain,
% 27.08/27.26 (multiply(multiply(sk_c3, multiply(sk_c7, sk_c3)), sk_c2) = multiply(sk_c3, multiply(multiply(sk_c7, sk_c3), sk_c2))),
% 27.08/27.26 inference(unit_resolution,[status(thm)],[108, 16])).
% 27.08/27.26 tff(110,plain,
% 27.08/27.26 (multiply(identity, sk_c2) = multiply(multiply(sk_c3, multiply(sk_c7, sk_c3)), sk_c2)),
% 27.08/27.26 inference(monotonicity,[status(thm)],[93])).
% 27.08/27.26 tff(111,plain,
% 27.08/27.26 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c2) = sk_c2)),
% 27.08/27.26 inference(quant_inst,[status(thm)],[])).
% 27.08/27.26 tff(112,plain,
% 27.08/27.26 (multiply(identity, sk_c2) = sk_c2),
% 27.08/27.26 inference(unit_resolution,[status(thm)],[111, 7])).
% 27.08/27.26 tff(113,plain,
% 27.08/27.26 (sk_c2 = multiply(identity, sk_c2)),
% 27.08/27.26 inference(symmetry,[status(thm)],[112])).
% 27.08/27.26 tff(114,plain,
% 27.08/27.26 (sk_c2 = multiply(multiply(sk_c8, multiply(sk_c3, sk_c8)), multiply(sk_c3, sk_c2))),
% 27.08/27.26 inference(transitivity,[status(thm)],[113, 110, 109, 107, 104, 101, 100])).
% 27.08/27.26 tff(115,plain,
% 27.08/27.26 (multiply(sk_c2, sk_c3) = multiply(multiply(multiply(sk_c8, multiply(sk_c3, sk_c8)), multiply(sk_c3, sk_c2)), multiply(multiply(sk_c8, multiply(sk_c3, sk_c8)), multiply(sk_c3, sk_c3)))),
% 27.08/27.26 inference(monotonicity,[status(thm)],[114, 98])).
% 27.08/27.26 tff(116,plain,
% 27.08/27.26 (multiply(multiply(multiply(sk_c8, multiply(sk_c3, sk_c8)), multiply(sk_c3, sk_c2)), multiply(multiply(sk_c8, multiply(sk_c3, sk_c8)), multiply(sk_c3, sk_c3))) = multiply(sk_c2, sk_c3)),
% 27.08/27.26 inference(symmetry,[status(thm)],[115])).
% 27.08/27.26 tff(117,plain,
% 27.08/27.26 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c3, sk_c8)), multiply(sk_c3, sk_c2)), multiply(sk_c8, multiply(sk_c3, sk_c8))), multiply(sk_c3, sk_c3)) = multiply(multiply(multiply(sk_c8, multiply(sk_c3, sk_c8)), multiply(sk_c3, sk_c2)), multiply(multiply(sk_c8, multiply(sk_c3, sk_c8)), multiply(sk_c3, sk_c3))))),
% 27.08/27.26 inference(quant_inst,[status(thm)],[])).
% 27.08/27.26 tff(118,plain,
% 27.08/27.26 (multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c3, sk_c8)), multiply(sk_c3, sk_c2)), multiply(sk_c8, multiply(sk_c3, sk_c8))), multiply(sk_c3, sk_c3)) = multiply(multiply(multiply(sk_c8, multiply(sk_c3, sk_c8)), multiply(sk_c3, sk_c2)), multiply(multiply(sk_c8, multiply(sk_c3, sk_c8)), multiply(sk_c3, sk_c3)))),
% 27.08/27.26 inference(unit_resolution,[status(thm)],[117, 16])).
% 27.08/27.26 tff(119,plain,
% 27.08/27.26 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c1), sk_c1) = identity)),
% 27.08/27.26 inference(quant_inst,[status(thm)],[])).
% 27.08/27.26 tff(120,plain,
% 27.08/27.26 (multiply(inverse(sk_c1), sk_c1) = identity),
% 27.08/27.26 inference(unit_resolution,[status(thm)],[119, 53])).
% 27.08/27.26 tff(121,plain,
% 27.08/27.26 (((inverse(sk_c1) = sk_c2) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c1) = sk_c2) | (inverse(sk_c5) = sk_c8))),
% 27.08/27.26 inference(rewrite,[status(thm)],[])).
% 27.08/27.26 tff(122,axiom,((inverse(sk_c1) = sk_c2) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_10')).
% 27.08/27.26 tff(123,plain,
% 27.08/27.26 ((inverse(sk_c1) = sk_c2) | (inverse(sk_c5) = sk_c8)),
% 27.08/27.26 inference(modus_ponens,[status(thm)],[122, 121])).
% 27.08/27.26 tff(124,plain,
% 27.08/27.26 (inverse(sk_c1) = sk_c2),
% 27.08/27.26 inference(unit_resolution,[status(thm)],[123, 20])).
% 27.08/27.26 tff(125,plain,
% 27.08/27.26 (sk_c2 = inverse(sk_c1)),
% 27.08/27.26 inference(symmetry,[status(thm)],[124])).
% 27.08/27.26 tff(126,plain,
% 27.08/27.26 (multiply(sk_c2, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 27.08/27.26 inference(monotonicity,[status(thm)],[125])).
% 27.08/27.26 tff(127,plain,
% 27.08/27.26 (multiply(sk_c2, sk_c1) = identity),
% 27.08/27.26 inference(transitivity,[status(thm)],[126, 120])).
% 27.08/27.26 tff(128,plain,
% 27.08/27.26 (multiply(multiply(sk_c2, sk_c1), sk_c2) = multiply(identity, sk_c2)),
% 27.08/27.26 inference(monotonicity,[status(thm)],[127])).
% 27.08/27.26 tff(129,plain,
% 27.08/27.26 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c1), sk_c2) = multiply(sk_c2, multiply(sk_c1, sk_c2)))),
% 27.08/27.26 inference(quant_inst,[status(thm)],[])).
% 27.08/27.26 tff(130,plain,
% 27.08/27.26 (multiply(multiply(sk_c2, sk_c1), sk_c2) = multiply(sk_c2, multiply(sk_c1, sk_c2))),
% 27.08/27.26 inference(unit_resolution,[status(thm)],[129, 16])).
% 27.08/27.26 tff(131,plain,
% 27.08/27.26 (multiply(sk_c2, multiply(sk_c1, sk_c2)) = multiply(multiply(sk_c2, sk_c1), sk_c2)),
% 27.08/27.26 inference(symmetry,[status(thm)],[130])).
% 27.08/27.26 tff(132,plain,
% 27.08/27.26 (sk_c8 = multiply(sk_c1, sk_c2)),
% 27.08/27.26 inference(symmetry,[status(thm)],[35])).
% 27.08/27.26 tff(133,plain,
% 27.08/27.26 (multiply(sk_c8, multiply(sk_c3, sk_c8)) = multiply(sk_c1, sk_c2)),
% 27.08/27.26 inference(transitivity,[status(thm)],[69, 68, 60, 132])).
% 27.08/27.26 tff(134,plain,
% 27.08/27.26 (multiply(multiply(sk_c3, multiply(sk_c7, sk_c3)), sk_c2) = multiply(identity, sk_c2)),
% 27.08/27.26 inference(symmetry,[status(thm)],[110])).
% 27.08/27.26 tff(135,plain,
% 27.08/27.26 (multiply(sk_c3, multiply(multiply(sk_c7, sk_c3), sk_c2)) = multiply(multiply(sk_c3, multiply(sk_c7, sk_c3)), sk_c2)),
% 27.08/27.26 inference(symmetry,[status(thm)],[109])).
% 27.08/27.26 tff(136,plain,
% 27.08/27.26 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c2))) = multiply(sk_c3, multiply(multiply(sk_c7, sk_c3), sk_c2))),
% 27.08/27.26 inference(symmetry,[status(thm)],[107])).
% 27.08/27.26 tff(137,plain,
% 27.08/27.26 (multiply(sk_c8, multiply(sk_c3, sk_c2)) = multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, sk_c2))),
% 27.08/27.26 inference(symmetry,[status(thm)],[101])).
% 27.08/27.26 tff(138,plain,
% 27.08/27.26 (multiply(multiply(sk_c8, multiply(sk_c3, sk_c8)), multiply(sk_c3, sk_c2)) = multiply(sk_c8, multiply(sk_c3, sk_c2))),
% 27.08/27.26 inference(symmetry,[status(thm)],[100])).
% 27.08/27.26 tff(139,plain,
% 27.08/27.26 (multiply(multiply(sk_c8, multiply(sk_c3, sk_c8)), multiply(sk_c3, sk_c2)) = sk_c2),
% 27.08/27.26 inference(transitivity,[status(thm)],[138, 137, 103, 136, 135, 134, 112])).
% 27.08/27.26 tff(140,plain,
% 27.08/27.26 (multiply(multiply(multiply(sk_c8, multiply(sk_c3, sk_c8)), multiply(sk_c3, sk_c2)), multiply(sk_c8, multiply(sk_c3, sk_c8))) = multiply(sk_c2, multiply(sk_c1, sk_c2))),
% 27.08/27.26 inference(monotonicity,[status(thm)],[139, 133])).
% 27.08/27.26 tff(141,plain,
% 27.08/27.26 (multiply(multiply(multiply(sk_c8, multiply(sk_c3, sk_c8)), multiply(sk_c3, sk_c2)), multiply(sk_c8, multiply(sk_c3, sk_c8))) = sk_c2),
% 27.08/27.26 inference(transitivity,[status(thm)],[140, 131, 128, 112])).
% 27.08/27.26 tff(142,plain,
% 27.08/27.26 (multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c3, sk_c8)), multiply(sk_c3, sk_c2)), multiply(sk_c8, multiply(sk_c3, sk_c8))), multiply(sk_c3, sk_c3)) = multiply(sk_c2, multiply(sk_c3, sk_c3))),
% 27.08/27.26 inference(monotonicity,[status(thm)],[141])).
% 27.08/27.26 tff(143,plain,
% 27.08/27.26 (multiply(sk_c2, multiply(sk_c3, sk_c3)) = multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c3, sk_c8)), multiply(sk_c3, sk_c2)), multiply(sk_c8, multiply(sk_c3, sk_c8))), multiply(sk_c3, sk_c3))),
% 27.08/27.26 inference(symmetry,[status(thm)],[142])).
% 27.08/27.26 tff(144,plain,
% 27.08/27.26 (multiply(sk_c2, multiply(sk_c3, sk_c3)) = multiply(sk_c2, sk_c3)),
% 27.08/27.27 inference(transitivity,[status(thm)],[143, 118, 116])).
% 27.08/27.27 tff(145,plain,
% 27.08/27.27 (multiply(multiply(sk_c8, multiply(sk_c3, sk_c1)), multiply(sk_c2, multiply(sk_c3, sk_c3))) = multiply(multiply(sk_c8, multiply(sk_c3, sk_c1)), multiply(sk_c2, sk_c3))),
% 27.08/27.27 inference(monotonicity,[status(thm)],[144])).
% 27.08/27.27 tff(146,plain,
% 27.08/27.27 (multiply(multiply(sk_c8, multiply(sk_c3, sk_c1)), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c8, multiply(sk_c3, sk_c1)), multiply(sk_c2, multiply(sk_c3, sk_c3)))),
% 27.08/27.27 inference(symmetry,[status(thm)],[145])).
% 27.08/27.27 tff(147,plain,
% 27.08/27.27 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, multiply(sk_c3, sk_c1)), sk_c2), sk_c3) = multiply(multiply(sk_c8, multiply(sk_c3, sk_c1)), multiply(sk_c2, sk_c3)))),
% 27.08/27.27 inference(quant_inst,[status(thm)],[])).
% 27.08/27.27 tff(148,plain,
% 27.08/27.27 (multiply(multiply(multiply(sk_c8, multiply(sk_c3, sk_c1)), sk_c2), sk_c3) = multiply(multiply(sk_c8, multiply(sk_c3, sk_c1)), multiply(sk_c2, sk_c3))),
% 27.08/27.27 inference(unit_resolution,[status(thm)],[147, 16])).
% 27.08/27.27 tff(149,plain,
% 27.08/27.27 (multiply(multiply(sk_c8, multiply(sk_c3, sk_c1)), sk_c2) = inverse(sk_c3)),
% 27.08/27.27 inference(transitivity,[status(thm)],[18, 41, 69, 68, 60, 25])).
% 27.08/27.27 tff(150,plain,
% 27.08/27.27 (multiply(multiply(multiply(sk_c8, multiply(sk_c3, sk_c1)), sk_c2), sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 27.08/27.27 inference(monotonicity,[status(thm)],[149])).
% 27.08/27.27 tff(151,plain,
% 27.08/27.27 (multiply(inverse(sk_c3), sk_c3) = multiply(multiply(multiply(sk_c8, multiply(sk_c3, sk_c1)), sk_c2), sk_c3)),
% 27.08/27.27 inference(symmetry,[status(thm)],[150])).
% 27.08/27.27 tff(152,plain,
% 27.08/27.27 (identity = multiply(sk_c8, multiply(sk_c3, sk_c3))),
% 27.08/27.27 inference(transitivity,[status(thm)],[56, 151, 148, 146, 67, 64])).
% 27.08/27.27 tff(153,plain,
% 27.08/27.27 (multiply(identity, sk_c7) = multiply(multiply(sk_c8, multiply(sk_c3, sk_c3)), sk_c7)),
% 27.08/27.27 inference(monotonicity,[status(thm)],[152])).
% 27.08/27.27 tff(154,plain,
% 27.08/27.27 (multiply(multiply(sk_c8, multiply(sk_c3, sk_c3)), sk_c7) = multiply(identity, sk_c7)),
% 27.08/27.27 inference(symmetry,[status(thm)],[153])).
% 27.08/27.27 tff(155,plain,
% 27.08/27.27 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(sk_c3, sk_c3)), sk_c7) = multiply(sk_c8, multiply(multiply(sk_c3, sk_c3), sk_c7)))),
% 27.08/27.27 inference(quant_inst,[status(thm)],[])).
% 27.08/27.27 tff(156,plain,
% 27.08/27.27 (multiply(multiply(sk_c8, multiply(sk_c3, sk_c3)), sk_c7) = multiply(sk_c8, multiply(multiply(sk_c3, sk_c3), sk_c7))),
% 27.08/27.27 inference(unit_resolution,[status(thm)],[155, 16])).
% 27.08/27.27 tff(157,plain,
% 27.08/27.27 (multiply(sk_c8, multiply(multiply(sk_c3, sk_c3), sk_c7)) = multiply(multiply(sk_c8, multiply(sk_c3, sk_c3)), sk_c7)),
% 27.08/27.27 inference(symmetry,[status(thm)],[156])).
% 27.08/27.27 tff(158,plain,
% 27.08/27.27 (multiply(sk_c3, multiply(sk_c3, sk_c7)) = multiply(sk_c3, inverse(sk_c3))),
% 27.08/27.27 inference(monotonicity,[status(thm)],[90])).
% 27.08/27.27 tff(159,plain,
% 27.08/27.27 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c3), sk_c7) = multiply(sk_c3, multiply(sk_c3, sk_c7)))),
% 27.08/27.27 inference(quant_inst,[status(thm)],[])).
% 27.08/27.27 tff(160,plain,
% 27.08/27.27 (multiply(multiply(sk_c3, sk_c3), sk_c7) = multiply(sk_c3, multiply(sk_c3, sk_c7))),
% 27.08/27.27 inference(unit_resolution,[status(thm)],[159, 16])).
% 27.08/27.27 tff(161,plain,
% 27.08/27.27 (multiply(multiply(sk_c3, sk_c3), sk_c7) = multiply(sk_c3, sk_c8)),
% 27.08/27.27 inference(transitivity,[status(thm)],[160, 158, 27])).
% 27.08/27.27 tff(162,plain,
% 27.08/27.27 (multiply(sk_c8, multiply(multiply(sk_c3, sk_c3), sk_c7)) = multiply(sk_c8, multiply(sk_c3, sk_c8))),
% 27.08/27.27 inference(monotonicity,[status(thm)],[161])).
% 27.08/27.27 tff(163,plain,
% 27.08/27.27 (multiply(sk_c8, multiply(sk_c3, sk_c8)) = multiply(sk_c8, multiply(multiply(sk_c3, sk_c3), sk_c7))),
% 27.08/27.27 inference(symmetry,[status(thm)],[162])).
% 27.08/27.27 tff(164,plain,
% 27.08/27.27 (multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7),
% 27.08/27.27 inference(transitivity,[status(thm)],[163, 157, 154, 9])).
% 27.08/27.27 tff(165,plain,
% 27.08/27.27 (multiply(sk_c1, inverse(sk_c1)) = multiply(sk_c1, sk_c2)),
% 27.08/27.27 inference(monotonicity,[status(thm)],[124])).
% 27.08/27.27 tff(166,plain,
% 27.08/27.27 (multiply(sk_c1, inverse(sk_c1)) = sk_c8),
% 27.08/27.27 inference(transitivity,[status(thm)],[165, 35])).
% 27.08/27.27 tff(167,plain,
% 27.08/27.27 (((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c7) = sk_c8)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c7) = sk_c8))),
% 27.08/27.27 inference(rewrite,[status(thm)],[])).
% 27.08/27.27 tff(168,plain,
% 27.08/27.27 (((multiply(sk_c2, sk_c7) = sk_c8) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c7) = sk_c8))),
% 27.08/27.27 inference(rewrite,[status(thm)],[])).
% 27.08/27.27 tff(169,axiom,((multiply(sk_c2, sk_c7) = sk_c8) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_15')).
% 27.08/27.27 tff(170,plain,
% 27.08/27.27 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c7) = sk_c8)),
% 27.08/27.27 inference(modus_ponens,[status(thm)],[169, 168])).
% 27.08/27.27 tff(171,plain,
% 27.08/27.27 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c7) = sk_c8)),
% 27.08/27.27 inference(modus_ponens,[status(thm)],[170, 167])).
% 27.08/27.27 tff(172,plain,
% 27.08/27.27 (multiply(sk_c2, sk_c7) = sk_c8),
% 27.08/27.27 inference(unit_resolution,[status(thm)],[171, 20])).
% 27.08/27.27 tff(173,plain,
% 27.08/27.27 (multiply(inverse(sk_c1), sk_c7) = multiply(sk_c2, sk_c7)),
% 27.08/27.27 inference(monotonicity,[status(thm)],[124])).
% 27.08/27.27 tff(174,plain,
% 27.08/27.27 (multiply(inverse(sk_c1), sk_c7) = sk_c8),
% 27.08/27.27 inference(transitivity,[status(thm)],[173, 172])).
% 27.08/27.27 tff(175,plain,
% 27.08/27.27 (^[X6: $i, X4: $i, X3: $i, X1: $i] : refl(((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8))) <=> ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8))))),
% 27.08/27.27 inference(bind,[status(th)],[])).
% 27.08/27.27 tff(176,plain,
% 27.08/27.27 (![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8))) <=> ![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))),
% 27.08/27.27 inference(quant_intro,[status(thm)],[175])).
% 27.08/27.27 tff(177,plain,
% 27.08/27.27 (![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8))) <=> ![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))),
% 27.08/27.27 inference(rewrite,[status(thm)],[])).
% 27.08/27.27 tff(178,plain,
% 27.08/27.27 (^[X6: $i, X4: $i, X3: $i, X1: $i] : rewrite(((~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8))) <=> ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8))))),
% 27.08/27.27 inference(bind,[status(th)],[])).
% 27.08/27.27 tff(179,plain,
% 27.08/27.27 (![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8))) <=> ![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))),
% 27.08/27.27 inference(quant_intro,[status(thm)],[178])).
% 27.08/27.27 tff(180,plain,
% 27.08/27.27 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8))) <=> ![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))),
% 27.08/27.27 inference(elim_unused_vars,[status(thm)],[])).
% 27.08/27.27 tff(181,plain,
% 27.08/27.27 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))),
% 27.08/27.27 inference(destructive_equality_resolution,[status(thm)],[])).
% 27.08/27.27 tff(182,plain,
% 27.08/27.27 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) <=> ![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))),
% 27.08/27.27 inference(transitivity,[status(thm)],[181, 180])).
% 27.08/27.27 tff(183,plain,
% 27.08/27.27 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) <=> ![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))),
% 27.08/27.27 inference(transitivity,[status(thm)],[182, 179])).
% 27.08/27.27 tff(184,plain,
% 27.08/27.27 (^[X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) <=> ((~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)))), ((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) <=> (((~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(multiply(X5, sk_c7) = sk_c8))))), rewrite((((~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(multiply(X5, sk_c7) = sk_c8))) <=> ((~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)))), ((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) <=> ((~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))))), (((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) <=> (((~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(inverse(X6) = sk_c8))))), rewrite((((~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(inverse(X6) = sk_c8))) <=> ((~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)))), (((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) <=> ((~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))))), ((((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) <=> (((~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))))), rewrite((((~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) <=> ((~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)))), ((((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) <=> ((~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))))), (((((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) | (~(inverse(X1) = sk_c8))) <=> (((~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(inverse(X1) = sk_c8))))), rewrite((((~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(inverse(X1) = sk_c8))) <=> ((~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)))), (((((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) | (~(inverse(X1) = sk_c8))) <=> ((~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))))), ((((((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) <=> (((~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))))), rewrite((((~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) <=> ((~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)))), ((((((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) <=> ((~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))))), (((((((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) <=> (((~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))))), rewrite((((~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) <=> ((~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)))), (((((((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) <=> ((~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))))), ((((((((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) | (~(multiply(X3, sk_c8) = X2))) <=> (((~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(multiply(X3, sk_c8) = X2))))), rewrite((((~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(multiply(X3, sk_c8) = X2))) <=> ((~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)))), ((((((((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) | (~(multiply(X3, sk_c8) = X2))) <=> ((~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))))), (((((((((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) | (~(multiply(X3, sk_c8) = X2))) | (~(inverse(X3) = sk_c8))) <=> (((~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(inverse(X3) = sk_c8))))), rewrite((((~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(inverse(X3) = sk_c8))) <=> ((~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)))), (((((((((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) | (~(multiply(X3, sk_c8) = X2))) | (~(inverse(X3) = sk_c8))) <=> ((~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)))))),
% 27.08/27.27 inference(bind,[status(th)],[])).
% 27.08/27.27 tff(185,plain,
% 27.08/27.27 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((((((((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) | (~(multiply(X3, sk_c8) = X2))) | (~(inverse(X3) = sk_c8))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)))),
% 27.08/27.27 inference(quant_intro,[status(thm)],[184])).
% 27.08/27.27 tff(186,plain,
% 27.08/27.27 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((((((((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) | (~(multiply(X3, sk_c8) = X2))) | (~(inverse(X3) = sk_c8))) <=> ![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))),
% 27.08/27.27 inference(transitivity,[status(thm)],[185, 183])).
% 27.08/27.27 tff(187,axiom,(![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((((((((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) | (~(multiply(X3, sk_c8) = X2))) | (~(inverse(X3) = sk_c8)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_26')).
% 27.08/27.27 tff(188,plain,
% 27.08/27.27 (![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))),
% 27.08/27.27 inference(modus_ponens,[status(thm)],[187, 186])).
% 27.08/27.27 tff(189,plain,
% 27.08/27.27 (![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))),
% 27.08/27.27 inference(modus_ponens,[status(thm)],[188, 177])).
% 27.08/27.27 tff(190,plain,(
% 27.08/27.27 ![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))),
% 27.08/27.27 inference(skolemize,[status(sab)],[189])).
% 27.08/27.27 tff(191,plain,
% 27.08/27.27 (![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))),
% 27.08/27.27 inference(modus_ponens,[status(thm)],[190, 176])).
% 27.08/27.27 tff(192,plain,
% 27.08/27.27 (((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)))) <=> ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)))),
% 27.08/27.27 inference(rewrite,[status(thm)],[])).
% 27.08/27.27 tff(193,plain,
% 27.08/27.27 (((~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8))) <=> ((~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)))),
% 27.08/27.27 inference(rewrite,[status(thm)],[])).
% 27.08/27.27 tff(194,plain,
% 27.08/27.27 (((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7))))),
% 27.08/27.28 inference(monotonicity,[status(thm)],[193])).
% 27.08/27.28 tff(195,plain,
% 27.08/27.28 (((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)))),
% 27.08/27.28 inference(transitivity,[status(thm)],[194, 192])).
% 27.08/27.28 tff(196,plain,
% 27.08/27.28 ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)))),
% 27.08/27.28 inference(quant_inst,[status(thm)],[])).
% 27.08/27.28 tff(197,plain,
% 27.08/27.28 ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7))),
% 27.08/27.28 inference(modus_ponens,[status(thm)],[196, 195])).
% 27.08/27.28 tff(198,plain,
% 27.08/27.28 ((~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7))),
% 27.08/27.28 inference(unit_resolution,[status(thm)],[197, 24, 78, 191])).
% 27.08/27.28 tff(199,plain,
% 27.08/27.28 (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)),
% 27.08/27.28 inference(unit_resolution,[status(thm)],[198, 174, 166])).
% 27.08/27.28 tff(200,plain,
% 27.08/27.28 ($false),
% 27.08/27.28 inference(unit_resolution,[status(thm)],[199, 164])).
% 27.08/27.28 tff(201,plain,(inverse(sk_c5) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 27.08/27.28 tff(202,plain,
% 27.08/27.28 (sk_c8 = inverse(sk_c5)),
% 27.08/27.28 inference(symmetry,[status(thm)],[201])).
% 27.08/27.28 tff(203,plain,
% 27.08/27.28 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(sk_c5, sk_c1)), sk_c2) = multiply(sk_c8, multiply(multiply(sk_c5, sk_c1), sk_c2)))),
% 27.08/27.28 inference(quant_inst,[status(thm)],[])).
% 27.08/27.28 tff(204,plain,
% 27.08/27.28 (multiply(multiply(sk_c8, multiply(sk_c5, sk_c1)), sk_c2) = multiply(sk_c8, multiply(multiply(sk_c5, sk_c1), sk_c2))),
% 27.08/27.28 inference(unit_resolution,[status(thm)],[203, 16])).
% 27.08/27.28 tff(205,plain,
% 27.08/27.28 (multiply(sk_c8, multiply(multiply(sk_c5, sk_c1), sk_c2)) = multiply(multiply(sk_c8, multiply(sk_c5, sk_c1)), sk_c2)),
% 27.08/27.28 inference(symmetry,[status(thm)],[204])).
% 27.08/27.28 tff(206,assumption,(~(inverse(sk_c4) = sk_c8)), introduced(assumption)).
% 27.08/27.28 tff(207,plain,
% 27.08/27.28 (((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8)) <=> ((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8))),
% 27.08/27.28 inference(rewrite,[status(thm)],[])).
% 27.08/27.28 tff(208,axiom,((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_1')).
% 27.08/27.28 tff(209,plain,
% 27.08/27.28 ((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 27.08/27.28 inference(modus_ponens,[status(thm)],[208, 207])).
% 27.08/27.28 tff(210,plain,
% 27.08/27.28 ((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 27.08/27.28 inference(modus_ponens,[status(thm)],[209, 207])).
% 27.08/27.28 tff(211,plain,
% 27.08/27.28 ((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 27.08/27.28 inference(modus_ponens,[status(thm)],[210, 207])).
% 27.08/27.28 tff(212,plain,
% 27.08/27.28 ((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 27.08/27.28 inference(modus_ponens,[status(thm)],[211, 207])).
% 27.08/27.28 tff(213,plain,
% 27.08/27.28 ((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 27.08/27.28 inference(modus_ponens,[status(thm)],[212, 207])).
% 27.08/27.28 tff(214,plain,
% 27.08/27.28 (multiply(sk_c1, sk_c2) = sk_c8),
% 27.08/27.28 inference(unit_resolution,[status(thm)],[213, 206])).
% 27.08/27.28 tff(215,plain,
% 27.08/27.28 (multiply(sk_c5, multiply(sk_c1, sk_c2)) = multiply(sk_c5, sk_c8)),
% 27.08/27.28 inference(monotonicity,[status(thm)],[214])).
% 27.08/27.28 tff(216,plain,
% 27.08/27.28 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c1), sk_c2) = multiply(sk_c5, multiply(sk_c1, sk_c2)))),
% 27.08/27.28 inference(quant_inst,[status(thm)],[])).
% 27.08/27.28 tff(217,plain,
% 27.08/27.28 (multiply(multiply(sk_c5, sk_c1), sk_c2) = multiply(sk_c5, multiply(sk_c1, sk_c2))),
% 27.08/27.28 inference(unit_resolution,[status(thm)],[216, 16])).
% 27.08/27.28 tff(218,plain,
% 27.08/27.28 (multiply(multiply(sk_c5, sk_c1), sk_c2) = multiply(sk_c5, sk_c8)),
% 27.08/27.28 inference(transitivity,[status(thm)],[217, 215])).
% 27.08/27.28 tff(219,plain,
% 27.08/27.28 (multiply(sk_c8, multiply(multiply(sk_c5, sk_c1), sk_c2)) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 27.08/27.28 inference(monotonicity,[status(thm)],[218])).
% 27.08/27.28 tff(220,plain,
% 27.08/27.28 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(sk_c8, multiply(multiply(sk_c5, sk_c1), sk_c2))),
% 27.08/27.28 inference(symmetry,[status(thm)],[219])).
% 27.08/27.28 tff(221,plain,
% 27.08/27.28 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(sk_c8, multiply(sk_c5, sk_c8)))),
% 27.08/27.28 inference(quant_inst,[status(thm)],[])).
% 27.08/27.28 tff(222,plain,
% 27.08/27.28 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 27.08/27.28 inference(unit_resolution,[status(thm)],[221, 16])).
% 27.08/27.28 tff(223,plain,
% 27.08/27.28 (multiply(sk_c8, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 27.08/27.28 inference(monotonicity,[status(thm)],[202])).
% 27.08/27.28 tff(224,plain,
% 27.08/27.28 (multiply(inverse(sk_c5), sk_c5) = multiply(sk_c8, sk_c5)),
% 27.08/27.28 inference(symmetry,[status(thm)],[223])).
% 27.08/27.28 tff(225,plain,
% 27.08/27.28 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c5), sk_c5) = identity)),
% 27.08/27.28 inference(quant_inst,[status(thm)],[])).
% 27.08/27.28 tff(226,plain,
% 27.08/27.28 (multiply(inverse(sk_c5), sk_c5) = identity),
% 27.08/27.28 inference(unit_resolution,[status(thm)],[225, 53])).
% 27.08/27.28 tff(227,plain,
% 27.08/27.28 (identity = multiply(inverse(sk_c5), sk_c5)),
% 27.08/27.28 inference(symmetry,[status(thm)],[226])).
% 27.08/27.28 tff(228,plain,
% 27.08/27.28 (identity = multiply(sk_c8, sk_c5)),
% 27.08/27.28 inference(transitivity,[status(thm)],[227, 224])).
% 27.08/27.28 tff(229,plain,
% 27.08/27.28 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 27.08/27.28 inference(monotonicity,[status(thm)],[228])).
% 27.08/27.28 tff(230,plain,
% 27.08/27.28 (sk_c8 = multiply(multiply(sk_c8, multiply(sk_c5, sk_c1)), sk_c2)),
% 27.08/27.28 inference(transitivity,[status(thm)],[61, 229, 222, 220, 205])).
% 27.08/27.28 tff(231,plain,
% 27.08/27.28 (multiply(sk_c8, multiply(sk_c5, sk_c3)) = multiply(multiply(multiply(sk_c8, multiply(sk_c5, sk_c1)), sk_c2), multiply(sk_c5, sk_c3))),
% 27.08/27.28 inference(monotonicity,[status(thm)],[230])).
% 27.08/27.28 tff(232,plain,
% 27.08/27.28 (multiply(multiply(multiply(sk_c8, multiply(sk_c5, sk_c1)), sk_c2), multiply(sk_c5, sk_c3)) = multiply(sk_c8, multiply(sk_c5, sk_c3))),
% 27.08/27.28 inference(symmetry,[status(thm)],[231])).
% 27.08/27.28 tff(233,plain,
% 27.08/27.28 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, multiply(sk_c5, sk_c1)), sk_c2), multiply(sk_c5, sk_c3)) = multiply(multiply(sk_c8, multiply(sk_c5, sk_c1)), multiply(sk_c2, multiply(sk_c5, sk_c3))))),
% 27.08/27.28 inference(quant_inst,[status(thm)],[])).
% 27.08/27.28 tff(234,plain,
% 27.08/27.28 (multiply(multiply(multiply(sk_c8, multiply(sk_c5, sk_c1)), sk_c2), multiply(sk_c5, sk_c3)) = multiply(multiply(sk_c8, multiply(sk_c5, sk_c1)), multiply(sk_c2, multiply(sk_c5, sk_c3)))),
% 27.08/27.28 inference(unit_resolution,[status(thm)],[233, 16])).
% 27.08/27.28 tff(235,plain,
% 27.08/27.28 (multiply(multiply(sk_c8, multiply(sk_c5, sk_c1)), multiply(sk_c2, multiply(sk_c5, sk_c3))) = multiply(multiply(multiply(sk_c8, multiply(sk_c5, sk_c1)), sk_c2), multiply(sk_c5, sk_c3))),
% 27.08/27.28 inference(symmetry,[status(thm)],[234])).
% 27.08/27.28 tff(236,plain,
% 27.08/27.28 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(identity, sk_c8)),
% 27.08/27.28 inference(symmetry,[status(thm)],[229])).
% 27.08/27.28 tff(237,plain,
% 27.08/27.28 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 27.08/27.28 inference(symmetry,[status(thm)],[222])).
% 27.08/27.28 tff(238,plain,
% 27.08/27.28 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c8),
% 27.08/27.28 inference(transitivity,[status(thm)],[237, 236, 60])).
% 27.08/27.28 tff(239,plain,
% 27.08/27.28 (multiply(multiply(sk_c8, multiply(sk_c5, sk_c8)), multiply(sk_c5, sk_c3)) = multiply(sk_c8, multiply(sk_c5, sk_c3))),
% 27.08/27.28 inference(monotonicity,[status(thm)],[238])).
% 27.08/27.28 tff(240,plain,
% 27.08/27.28 (multiply(sk_c8, multiply(sk_c5, sk_c3)) = multiply(multiply(sk_c8, multiply(sk_c5, sk_c8)), multiply(sk_c5, sk_c3))),
% 27.08/27.28 inference(symmetry,[status(thm)],[239])).
% 27.08/27.28 tff(241,plain,
% 27.08/27.28 (((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c7) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c7) = sk_c8))),
% 27.08/27.28 inference(rewrite,[status(thm)],[])).
% 27.08/27.28 tff(242,plain,
% 27.08/27.28 (((multiply(sk_c2, sk_c7) = sk_c8) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c7) = sk_c8))),
% 27.08/27.28 inference(rewrite,[status(thm)],[])).
% 27.08/27.28 tff(243,axiom,((multiply(sk_c2, sk_c7) = sk_c8) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_11')).
% 27.08/27.28 tff(244,plain,
% 27.08/27.28 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c7) = sk_c8)),
% 27.08/27.28 inference(modus_ponens,[status(thm)],[243, 242])).
% 27.08/27.28 tff(245,plain,
% 27.08/27.28 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c7) = sk_c8)),
% 27.08/27.28 inference(modus_ponens,[status(thm)],[244, 241])).
% 27.08/27.28 tff(246,plain,
% 27.08/27.28 (multiply(sk_c2, sk_c7) = sk_c8),
% 27.08/27.28 inference(unit_resolution,[status(thm)],[245, 206])).
% 27.08/27.28 tff(247,plain,
% 27.08/27.28 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, sk_c3)) = multiply(sk_c8, multiply(sk_c5, sk_c3))),
% 27.08/27.28 inference(monotonicity,[status(thm)],[246])).
% 27.08/27.28 tff(248,plain,
% 27.08/27.28 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, sk_c3)) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, sk_c3))))),
% 27.08/27.28 inference(quant_inst,[status(thm)],[])).
% 27.08/27.28 tff(249,plain,
% 27.08/27.28 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, sk_c3)) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, sk_c3)))),
% 27.08/27.28 inference(unit_resolution,[status(thm)],[248, 16])).
% 27.08/27.28 tff(250,plain,
% 27.08/27.28 (multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, sk_c3))) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, sk_c3))),
% 27.08/27.28 inference(symmetry,[status(thm)],[249])).
% 27.08/27.28 tff(251,plain,
% 27.08/27.28 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c5), sk_c3) = multiply(sk_c7, multiply(sk_c5, sk_c3)))),
% 27.08/27.28 inference(quant_inst,[status(thm)],[])).
% 27.08/27.28 tff(252,plain,
% 27.08/27.28 (multiply(multiply(sk_c7, sk_c5), sk_c3) = multiply(sk_c7, multiply(sk_c5, sk_c3))),
% 27.08/27.28 inference(unit_resolution,[status(thm)],[251, 16])).
% 27.08/27.28 tff(253,plain,
% 27.08/27.28 (multiply(sk_c2, multiply(multiply(sk_c7, sk_c5), sk_c3)) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, sk_c3)))),
% 27.08/27.28 inference(monotonicity,[status(thm)],[252])).
% 27.08/27.28 tff(254,plain,
% 27.08/27.28 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(sk_c7, sk_c5)), sk_c3) = multiply(sk_c2, multiply(multiply(sk_c7, sk_c5), sk_c3)))),
% 27.08/27.28 inference(quant_inst,[status(thm)],[])).
% 27.08/27.28 tff(255,plain,
% 27.08/27.28 (multiply(multiply(sk_c2, multiply(sk_c7, sk_c5)), sk_c3) = multiply(sk_c2, multiply(multiply(sk_c7, sk_c5), sk_c3))),
% 27.08/27.28 inference(unit_resolution,[status(thm)],[254, 16])).
% 27.08/27.28 tff(256,plain,
% 27.08/27.28 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c7), sk_c5) = multiply(sk_c2, multiply(sk_c7, sk_c5)))),
% 27.08/27.28 inference(quant_inst,[status(thm)],[])).
% 27.08/27.28 tff(257,plain,
% 27.08/27.28 (multiply(multiply(sk_c2, sk_c7), sk_c5) = multiply(sk_c2, multiply(sk_c7, sk_c5))),
% 27.08/27.28 inference(unit_resolution,[status(thm)],[256, 16])).
% 27.08/27.28 tff(258,plain,
% 27.08/27.28 (multiply(sk_c2, sk_c7) = inverse(sk_c5)),
% 27.08/27.28 inference(transitivity,[status(thm)],[246, 202])).
% 27.08/27.28 tff(259,plain,
% 27.08/27.28 (multiply(multiply(sk_c2, sk_c7), sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 27.08/27.28 inference(monotonicity,[status(thm)],[258])).
% 27.08/27.28 tff(260,plain,
% 27.08/27.28 (multiply(inverse(sk_c5), sk_c5) = multiply(multiply(sk_c2, sk_c7), sk_c5)),
% 27.08/27.28 inference(symmetry,[status(thm)],[259])).
% 27.08/27.28 tff(261,plain,
% 27.08/27.28 (identity = multiply(sk_c2, multiply(sk_c7, sk_c5))),
% 27.08/27.28 inference(transitivity,[status(thm)],[227, 260, 257])).
% 27.08/27.28 tff(262,plain,
% 27.08/27.28 (multiply(identity, sk_c3) = multiply(multiply(sk_c2, multiply(sk_c7, sk_c5)), sk_c3)),
% 27.08/27.28 inference(monotonicity,[status(thm)],[261])).
% 27.08/27.28 tff(263,plain,
% 27.08/27.28 (sk_c3 = multiply(multiply(sk_c8, multiply(sk_c5, sk_c8)), multiply(sk_c5, sk_c3))),
% 27.08/27.28 inference(transitivity,[status(thm)],[97, 262, 255, 253, 250, 247, 240])).
% 27.08/27.28 tff(264,plain,
% 27.08/27.28 (sk_c8 = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 27.08/27.28 inference(transitivity,[status(thm)],[61, 229, 222])).
% 27.08/27.28 tff(265,plain,
% 27.08/27.28 (multiply(sk_c8, multiply(sk_c5, sk_c2)) = multiply(multiply(sk_c8, multiply(sk_c5, sk_c8)), multiply(sk_c5, sk_c2))),
% 27.08/27.28 inference(monotonicity,[status(thm)],[264])).
% 27.08/27.28 tff(266,plain,
% 27.08/27.28 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, sk_c2)) = multiply(sk_c8, multiply(sk_c5, sk_c2))),
% 27.08/27.28 inference(monotonicity,[status(thm)],[246])).
% 27.08/27.28 tff(267,plain,
% 27.08/27.28 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, sk_c2)) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, sk_c2))))),
% 27.08/27.28 inference(quant_inst,[status(thm)],[])).
% 27.08/27.28 tff(268,plain,
% 27.08/27.28 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, sk_c2)) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, sk_c2)))),
% 27.08/27.28 inference(unit_resolution,[status(thm)],[267, 16])).
% 27.08/27.28 tff(269,plain,
% 27.08/27.28 (multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, sk_c2))) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, sk_c2))),
% 27.08/27.28 inference(symmetry,[status(thm)],[268])).
% 27.08/27.28 tff(270,plain,
% 27.08/27.28 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c5), sk_c2) = multiply(sk_c7, multiply(sk_c5, sk_c2)))),
% 27.08/27.28 inference(quant_inst,[status(thm)],[])).
% 27.08/27.28 tff(271,plain,
% 27.08/27.28 (multiply(multiply(sk_c7, sk_c5), sk_c2) = multiply(sk_c7, multiply(sk_c5, sk_c2))),
% 27.08/27.28 inference(unit_resolution,[status(thm)],[270, 16])).
% 27.08/27.28 tff(272,plain,
% 27.08/27.28 (multiply(sk_c2, multiply(multiply(sk_c7, sk_c5), sk_c2)) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, sk_c2)))),
% 27.08/27.28 inference(monotonicity,[status(thm)],[271])).
% 27.08/27.28 tff(273,plain,
% 27.08/27.28 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(sk_c7, sk_c5)), sk_c2) = multiply(sk_c2, multiply(multiply(sk_c7, sk_c5), sk_c2)))),
% 27.08/27.28 inference(quant_inst,[status(thm)],[])).
% 27.08/27.28 tff(274,plain,
% 27.08/27.28 (multiply(multiply(sk_c2, multiply(sk_c7, sk_c5)), sk_c2) = multiply(sk_c2, multiply(multiply(sk_c7, sk_c5), sk_c2))),
% 27.08/27.28 inference(unit_resolution,[status(thm)],[273, 16])).
% 27.08/27.28 tff(275,plain,
% 27.08/27.28 (multiply(identity, sk_c2) = multiply(multiply(sk_c2, multiply(sk_c7, sk_c5)), sk_c2)),
% 27.08/27.28 inference(monotonicity,[status(thm)],[261])).
% 27.08/27.28 tff(276,plain,
% 27.08/27.28 (sk_c2 = multiply(multiply(sk_c8, multiply(sk_c5, sk_c8)), multiply(sk_c5, sk_c2))),
% 27.08/27.28 inference(transitivity,[status(thm)],[113, 275, 274, 272, 269, 266, 265])).
% 27.08/27.28 tff(277,plain,
% 27.08/27.28 (multiply(sk_c2, sk_c3) = multiply(multiply(multiply(sk_c8, multiply(sk_c5, sk_c8)), multiply(sk_c5, sk_c2)), multiply(multiply(sk_c8, multiply(sk_c5, sk_c8)), multiply(sk_c5, sk_c3)))),
% 27.08/27.28 inference(monotonicity,[status(thm)],[276, 263])).
% 27.08/27.28 tff(278,plain,
% 27.08/27.28 (multiply(multiply(multiply(sk_c8, multiply(sk_c5, sk_c8)), multiply(sk_c5, sk_c2)), multiply(multiply(sk_c8, multiply(sk_c5, sk_c8)), multiply(sk_c5, sk_c3))) = multiply(sk_c2, sk_c3)),
% 27.08/27.28 inference(symmetry,[status(thm)],[277])).
% 27.08/27.28 tff(279,plain,
% 27.08/27.28 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c5, sk_c8)), multiply(sk_c5, sk_c2)), multiply(sk_c8, multiply(sk_c5, sk_c8))), multiply(sk_c5, sk_c3)) = multiply(multiply(multiply(sk_c8, multiply(sk_c5, sk_c8)), multiply(sk_c5, sk_c2)), multiply(multiply(sk_c8, multiply(sk_c5, sk_c8)), multiply(sk_c5, sk_c3))))),
% 27.08/27.28 inference(quant_inst,[status(thm)],[])).
% 27.08/27.28 tff(280,plain,
% 27.08/27.28 (multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c5, sk_c8)), multiply(sk_c5, sk_c2)), multiply(sk_c8, multiply(sk_c5, sk_c8))), multiply(sk_c5, sk_c3)) = multiply(multiply(multiply(sk_c8, multiply(sk_c5, sk_c8)), multiply(sk_c5, sk_c2)), multiply(multiply(sk_c8, multiply(sk_c5, sk_c8)), multiply(sk_c5, sk_c3)))),
% 27.08/27.28 inference(unit_resolution,[status(thm)],[279, 16])).
% 27.08/27.28 tff(281,plain,
% 27.08/27.28 (((inverse(sk_c1) = sk_c2) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c1) = sk_c2) | (inverse(sk_c4) = sk_c8))),
% 27.08/27.28 inference(rewrite,[status(thm)],[])).
% 27.08/27.28 tff(282,axiom,((inverse(sk_c1) = sk_c2) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_6')).
% 27.08/27.28 tff(283,plain,
% 27.08/27.28 ((inverse(sk_c1) = sk_c2) | (inverse(sk_c4) = sk_c8)),
% 27.08/27.28 inference(modus_ponens,[status(thm)],[282, 281])).
% 27.08/27.28 tff(284,plain,
% 27.08/27.28 (inverse(sk_c1) = sk_c2),
% 27.08/27.28 inference(unit_resolution,[status(thm)],[283, 206])).
% 27.08/27.28 tff(285,plain,
% 27.08/27.28 (sk_c2 = inverse(sk_c1)),
% 27.08/27.28 inference(symmetry,[status(thm)],[284])).
% 27.08/27.28 tff(286,plain,
% 27.08/27.28 (multiply(sk_c2, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 27.08/27.28 inference(monotonicity,[status(thm)],[285])).
% 27.08/27.28 tff(287,plain,
% 27.08/27.28 (multiply(sk_c2, sk_c1) = identity),
% 27.08/27.28 inference(transitivity,[status(thm)],[286, 120])).
% 27.08/27.28 tff(288,plain,
% 27.08/27.28 (multiply(multiply(sk_c2, sk_c1), sk_c2) = multiply(identity, sk_c2)),
% 27.08/27.28 inference(monotonicity,[status(thm)],[287])).
% 27.08/27.28 tff(289,plain,
% 27.08/27.28 (sk_c8 = multiply(sk_c1, sk_c2)),
% 27.08/27.28 inference(symmetry,[status(thm)],[214])).
% 27.08/27.28 tff(290,plain,
% 27.08/27.28 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(sk_c1, sk_c2)),
% 27.08/27.28 inference(transitivity,[status(thm)],[237, 236, 60, 289])).
% 27.08/27.28 tff(291,plain,
% 27.08/27.28 (multiply(multiply(sk_c2, multiply(sk_c7, sk_c5)), sk_c2) = multiply(identity, sk_c2)),
% 27.08/27.28 inference(symmetry,[status(thm)],[275])).
% 27.08/27.28 tff(292,plain,
% 27.08/27.28 (multiply(sk_c2, multiply(multiply(sk_c7, sk_c5), sk_c2)) = multiply(multiply(sk_c2, multiply(sk_c7, sk_c5)), sk_c2)),
% 27.08/27.28 inference(symmetry,[status(thm)],[274])).
% 27.08/27.28 tff(293,plain,
% 27.08/27.28 (multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, sk_c2))) = multiply(sk_c2, multiply(multiply(sk_c7, sk_c5), sk_c2))),
% 27.08/27.28 inference(symmetry,[status(thm)],[272])).
% 27.08/27.28 tff(294,plain,
% 27.08/27.28 (multiply(sk_c8, multiply(sk_c5, sk_c2)) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, sk_c2))),
% 27.08/27.28 inference(symmetry,[status(thm)],[266])).
% 27.08/27.28 tff(295,plain,
% 27.08/27.28 (multiply(multiply(sk_c8, multiply(sk_c5, sk_c8)), multiply(sk_c5, sk_c2)) = multiply(sk_c8, multiply(sk_c5, sk_c2))),
% 27.08/27.28 inference(symmetry,[status(thm)],[265])).
% 27.08/27.28 tff(296,plain,
% 27.08/27.28 (multiply(multiply(sk_c8, multiply(sk_c5, sk_c8)), multiply(sk_c5, sk_c2)) = sk_c2),
% 27.08/27.28 inference(transitivity,[status(thm)],[295, 294, 268, 293, 292, 291, 112])).
% 27.08/27.28 tff(297,plain,
% 27.08/27.28 (multiply(multiply(multiply(sk_c8, multiply(sk_c5, sk_c8)), multiply(sk_c5, sk_c2)), multiply(sk_c8, multiply(sk_c5, sk_c8))) = multiply(sk_c2, multiply(sk_c1, sk_c2))),
% 27.08/27.28 inference(monotonicity,[status(thm)],[296, 290])).
% 27.08/27.28 tff(298,plain,
% 27.08/27.28 (multiply(multiply(multiply(sk_c8, multiply(sk_c5, sk_c8)), multiply(sk_c5, sk_c2)), multiply(sk_c8, multiply(sk_c5, sk_c8))) = sk_c2),
% 27.08/27.28 inference(transitivity,[status(thm)],[297, 131, 288, 112])).
% 27.08/27.28 tff(299,plain,
% 27.08/27.28 (multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c5, sk_c8)), multiply(sk_c5, sk_c2)), multiply(sk_c8, multiply(sk_c5, sk_c8))), multiply(sk_c5, sk_c3)) = multiply(sk_c2, multiply(sk_c5, sk_c3))),
% 27.08/27.28 inference(monotonicity,[status(thm)],[298])).
% 27.08/27.28 tff(300,plain,
% 27.08/27.28 (multiply(sk_c2, multiply(sk_c5, sk_c3)) = multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c5, sk_c8)), multiply(sk_c5, sk_c2)), multiply(sk_c8, multiply(sk_c5, sk_c8))), multiply(sk_c5, sk_c3))),
% 27.08/27.28 inference(symmetry,[status(thm)],[299])).
% 27.08/27.28 tff(301,plain,
% 27.08/27.28 (multiply(sk_c2, multiply(sk_c5, sk_c3)) = multiply(sk_c2, sk_c3)),
% 27.08/27.28 inference(transitivity,[status(thm)],[300, 280, 278])).
% 27.08/27.28 tff(302,plain,
% 27.08/27.28 (multiply(multiply(sk_c8, multiply(sk_c5, sk_c1)), multiply(sk_c2, multiply(sk_c5, sk_c3))) = multiply(multiply(sk_c8, multiply(sk_c5, sk_c1)), multiply(sk_c2, sk_c3))),
% 27.08/27.28 inference(monotonicity,[status(thm)],[301])).
% 27.08/27.28 tff(303,plain,
% 27.08/27.28 (multiply(multiply(sk_c8, multiply(sk_c5, sk_c1)), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c8, multiply(sk_c5, sk_c1)), multiply(sk_c2, multiply(sk_c5, sk_c3)))),
% 27.08/27.28 inference(symmetry,[status(thm)],[302])).
% 27.08/27.28 tff(304,plain,
% 27.08/27.28 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, multiply(sk_c5, sk_c1)), sk_c2), sk_c3) = multiply(multiply(sk_c8, multiply(sk_c5, sk_c1)), multiply(sk_c2, sk_c3)))),
% 27.08/27.28 inference(quant_inst,[status(thm)],[])).
% 27.08/27.28 tff(305,plain,
% 27.08/27.28 (multiply(multiply(multiply(sk_c8, multiply(sk_c5, sk_c1)), sk_c2), sk_c3) = multiply(multiply(sk_c8, multiply(sk_c5, sk_c1)), multiply(sk_c2, sk_c3))),
% 27.08/27.28 inference(unit_resolution,[status(thm)],[304, 16])).
% 27.08/27.28 tff(306,assumption,(~(inverse(sk_c3) = sk_c8)), introduced(assumption)).
% 27.08/27.28 tff(307,plain,
% 27.08/27.28 (((inverse(sk_c3) = sk_c8) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c3) = sk_c8) | (inverse(sk_c4) = sk_c8))),
% 27.08/27.28 inference(rewrite,[status(thm)],[])).
% 27.08/27.28 tff(308,axiom,((inverse(sk_c3) = sk_c8) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_16')).
% 27.08/27.28 tff(309,plain,
% 27.08/27.28 ((inverse(sk_c3) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 27.08/27.28 inference(modus_ponens,[status(thm)],[308, 307])).
% 27.08/27.28 tff(310,plain,
% 27.08/27.28 (inverse(sk_c4) = sk_c8),
% 27.08/27.28 inference(unit_resolution,[status(thm)],[309, 306])).
% 27.08/27.28 tff(311,plain,
% 27.08/27.28 (inverse(sk_c4) = inverse(sk_c5)),
% 27.08/27.28 inference(transitivity,[status(thm)],[310, 202])).
% 27.08/27.28 tff(312,plain,
% 27.08/27.28 (multiply(inverse(sk_c4), sk_c7) = multiply(inverse(sk_c5), sk_c7)),
% 27.08/27.28 inference(monotonicity,[status(thm)],[311])).
% 27.08/27.28 tff(313,plain,
% 27.08/27.28 ((multiply(inverse(sk_c4), sk_c7) = sk_c8) <=> (multiply(inverse(sk_c5), sk_c7) = sk_c8)),
% 27.08/27.28 inference(monotonicity,[status(thm)],[312])).
% 27.08/27.28 tff(314,plain,
% 27.08/27.28 ((~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) <=> (~(multiply(inverse(sk_c5), sk_c7) = sk_c8))),
% 27.08/27.28 inference(monotonicity,[status(thm)],[313])).
% 27.08/27.28 tff(315,plain,
% 27.08/27.28 (((inverse(sk_c3) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((inverse(sk_c3) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 27.08/27.28 inference(rewrite,[status(thm)],[])).
% 27.08/27.28 tff(316,axiom,((inverse(sk_c3) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_17')).
% 27.08/27.28 tff(317,plain,
% 27.08/27.28 ((inverse(sk_c3) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 27.08/27.28 inference(modus_ponens,[status(thm)],[316, 315])).
% 27.08/27.28 tff(318,plain,
% 27.08/27.28 (multiply(sk_c4, sk_c7) = sk_c8),
% 27.08/27.28 inference(unit_resolution,[status(thm)],[317, 306])).
% 27.08/27.28 tff(319,plain,
% 27.08/27.28 (((inverse(sk_c3) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)) <=> ((inverse(sk_c3) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7))),
% 27.08/27.28 inference(rewrite,[status(thm)],[])).
% 27.08/27.28 tff(320,axiom,((inverse(sk_c3) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_18')).
% 27.08/27.28 tff(321,plain,
% 27.08/27.28 ((inverse(sk_c3) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)),
% 27.08/27.28 inference(modus_ponens,[status(thm)],[320, 319])).
% 27.08/27.28 tff(322,plain,
% 27.08/27.28 (multiply(sk_c8, sk_c6) = sk_c7),
% 27.08/27.28 inference(unit_resolution,[status(thm)],[321, 306])).
% 27.08/27.28 tff(323,plain,
% 27.08/27.28 (((inverse(sk_c3) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((inverse(sk_c3) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 27.08/27.28 inference(rewrite,[status(thm)],[])).
% 27.08/27.28 tff(324,axiom,((inverse(sk_c3) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_19')).
% 27.08/27.28 tff(325,plain,
% 27.08/27.28 ((inverse(sk_c3) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 27.08/27.28 inference(modus_ponens,[status(thm)],[324, 323])).
% 27.08/27.28 tff(326,plain,
% 27.08/27.28 (multiply(sk_c5, sk_c8) = sk_c6),
% 27.08/27.28 inference(unit_resolution,[status(thm)],[325, 306])).
% 27.08/27.28 tff(327,plain,
% 27.08/27.28 (sk_c6 = multiply(sk_c5, sk_c8)),
% 27.08/27.28 inference(symmetry,[status(thm)],[326])).
% 27.08/27.28 tff(328,plain,
% 27.08/27.28 (multiply(sk_c8, sk_c6) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 27.08/27.28 inference(monotonicity,[status(thm)],[327])).
% 27.08/27.28 tff(329,plain,
% 27.08/27.28 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(sk_c8, sk_c6)),
% 27.08/27.28 inference(symmetry,[status(thm)],[328])).
% 27.08/27.28 tff(330,plain,
% 27.08/27.28 (multiply(sk_c8, sk_c5) = identity),
% 27.08/27.28 inference(transitivity,[status(thm)],[223, 226])).
% 27.08/27.28 tff(331,plain,
% 27.08/27.28 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(identity, sk_c8)),
% 27.08/27.28 inference(monotonicity,[status(thm)],[330])).
% 27.08/27.28 tff(332,plain,
% 27.08/27.28 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 27.08/27.28 inference(symmetry,[status(thm)],[331])).
% 27.08/27.28 tff(333,plain,
% 27.08/27.28 (inverse(sk_c4) = sk_c7),
% 27.08/27.28 inference(transitivity,[status(thm)],[310, 61, 332, 222, 329, 322])).
% 27.08/27.28 tff(334,plain,
% 27.08/27.28 (multiply(sk_c4, inverse(sk_c4)) = multiply(sk_c4, sk_c7)),
% 27.08/27.28 inference(monotonicity,[status(thm)],[333])).
% 27.08/27.28 tff(335,plain,
% 27.08/27.28 (multiply(sk_c4, inverse(sk_c4)) = sk_c8),
% 27.08/27.28 inference(transitivity,[status(thm)],[334, 318])).
% 27.08/27.28 tff(336,plain,
% 27.08/27.28 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7),
% 27.08/27.28 inference(transitivity,[status(thm)],[329, 322])).
% 27.08/27.28 tff(337,plain,
% 27.08/27.28 (((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)))),
% 27.08/27.28 inference(rewrite,[status(thm)],[])).
% 27.08/27.28 tff(338,plain,
% 27.08/27.28 (((~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8))) <=> ((~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)))),
% 27.08/27.28 inference(rewrite,[status(thm)],[])).
% 27.08/27.28 tff(339,plain,
% 27.08/27.28 (((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(inverse(sk_c5) = sk_c8))))),
% 27.08/27.29 inference(monotonicity,[status(thm)],[338])).
% 27.08/27.29 tff(340,plain,
% 27.08/27.29 (((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)))),
% 27.08/27.29 inference(transitivity,[status(thm)],[339, 337])).
% 27.08/27.29 tff(341,plain,
% 27.08/27.29 ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)))),
% 27.08/27.29 inference(quant_inst,[status(thm)],[])).
% 27.08/27.29 tff(342,plain,
% 27.08/27.29 ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(inverse(sk_c5) = sk_c8))),
% 27.08/27.29 inference(modus_ponens,[status(thm)],[341, 340])).
% 27.08/27.29 tff(343,plain,
% 27.08/27.29 ((~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8))),
% 27.08/27.29 inference(unit_resolution,[status(thm)],[342, 310, 318, 201, 191, 336])).
% 27.08/27.29 tff(344,plain,
% 27.08/27.29 (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)),
% 27.08/27.29 inference(unit_resolution,[status(thm)],[343, 335])).
% 27.08/27.29 tff(345,plain,
% 27.08/27.29 (~(multiply(inverse(sk_c5), sk_c7) = sk_c8)),
% 27.08/27.29 inference(modus_ponens,[status(thm)],[344, 314])).
% 27.08/27.29 tff(346,plain,
% 27.08/27.29 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c4), sk_c4) = identity)),
% 27.08/27.29 inference(quant_inst,[status(thm)],[])).
% 27.08/27.29 tff(347,plain,
% 27.08/27.29 (multiply(inverse(sk_c4), sk_c4) = identity),
% 27.08/27.29 inference(unit_resolution,[status(thm)],[346, 53])).
% 27.08/27.29 tff(348,plain,
% 27.08/27.29 (sk_c8 = inverse(sk_c4)),
% 27.08/27.29 inference(symmetry,[status(thm)],[310])).
% 27.08/27.29 tff(349,plain,
% 27.08/27.29 (multiply(sk_c8, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 27.08/27.29 inference(monotonicity,[status(thm)],[348])).
% 27.08/27.29 tff(350,plain,
% 27.08/27.29 (multiply(sk_c8, sk_c4) = multiply(sk_c8, sk_c5)),
% 27.08/27.29 inference(transitivity,[status(thm)],[349, 347, 227, 224])).
% 27.08/27.29 tff(351,plain,
% 27.08/27.29 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 27.08/27.29 inference(monotonicity,[status(thm)],[350])).
% 27.08/27.29 tff(352,plain,
% 27.08/27.29 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c8)))),
% 27.08/27.29 inference(quant_inst,[status(thm)],[])).
% 27.08/27.29 tff(353,plain,
% 27.08/27.29 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 27.08/27.29 inference(unit_resolution,[status(thm)],[352, 16])).
% 27.08/27.29 tff(354,plain,
% 27.08/27.29 (multiply(sk_c8, multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c8, sk_c4), sk_c8)),
% 27.08/27.29 inference(symmetry,[status(thm)],[353])).
% 27.08/27.29 tff(355,plain,
% 27.08/27.29 (multiply(sk_c4, sk_c8) = multiply(sk_c4, inverse(sk_c4))),
% 27.08/27.29 inference(monotonicity,[status(thm)],[348])).
% 27.08/27.29 tff(356,plain,
% 27.08/27.29 (multiply(sk_c4, inverse(sk_c4)) = multiply(sk_c4, sk_c8)),
% 27.08/27.29 inference(symmetry,[status(thm)],[355])).
% 27.08/27.29 tff(357,plain,
% 27.08/27.29 (multiply(sk_c4, sk_c7) = multiply(sk_c4, inverse(sk_c4))),
% 27.08/27.29 inference(symmetry,[status(thm)],[334])).
% 27.08/27.29 tff(358,plain,
% 27.08/27.29 (sk_c8 = multiply(sk_c4, sk_c7)),
% 27.08/27.29 inference(symmetry,[status(thm)],[318])).
% 27.08/27.29 tff(359,plain,
% 27.08/27.29 (sk_c7 = multiply(sk_c8, sk_c6)),
% 27.08/27.29 inference(symmetry,[status(thm)],[322])).
% 27.08/27.29 tff(360,plain,
% 27.08/27.29 (sk_c7 = multiply(sk_c4, sk_c8)),
% 27.08/27.29 inference(transitivity,[status(thm)],[359, 328, 237, 331, 60, 358, 357, 356])).
% 27.08/27.29 tff(361,plain,
% 27.08/27.29 (multiply(inverse(sk_c5), sk_c7) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 27.08/27.29 inference(monotonicity,[status(thm)],[201, 360])).
% 27.08/27.29 tff(362,plain,
% 27.08/27.29 (multiply(inverse(sk_c5), sk_c7) = sk_c8),
% 27.08/27.29 inference(transitivity,[status(thm)],[361, 354, 351, 331, 60])).
% 27.08/27.29 tff(363,plain,
% 27.08/27.29 ($false),
% 27.08/27.29 inference(unit_resolution,[status(thm)],[362, 345])).
% 27.08/27.29 tff(364,plain,(inverse(sk_c3) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 27.08/27.29 tff(365,plain,
% 27.08/27.29 (sk_c8 = inverse(sk_c3)),
% 27.08/27.29 inference(symmetry,[status(thm)],[364])).
% 27.08/27.29 tff(366,plain,
% 27.08/27.29 (multiply(multiply(sk_c8, multiply(sk_c5, sk_c1)), sk_c2) = inverse(sk_c3)),
% 27.08/27.29 inference(transitivity,[status(thm)],[204, 219, 237, 236, 60, 365])).
% 27.08/27.29 tff(367,plain,
% 27.08/27.29 (multiply(multiply(multiply(sk_c8, multiply(sk_c5, sk_c1)), sk_c2), sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 27.08/27.29 inference(monotonicity,[status(thm)],[366])).
% 27.08/27.29 tff(368,plain,
% 27.08/27.29 (multiply(inverse(sk_c3), sk_c3) = multiply(multiply(multiply(sk_c8, multiply(sk_c5, sk_c1)), sk_c2), sk_c3)),
% 27.08/27.29 inference(symmetry,[status(thm)],[367])).
% 27.08/27.29 tff(369,plain,
% 27.08/27.29 (identity = multiply(sk_c8, multiply(sk_c5, sk_c3))),
% 27.08/27.29 inference(transitivity,[status(thm)],[56, 368, 305, 303, 235, 232])).
% 27.08/27.29 tff(370,plain,
% 27.08/27.29 (multiply(identity, sk_c7) = multiply(multiply(sk_c8, multiply(sk_c5, sk_c3)), sk_c7)),
% 27.08/27.29 inference(monotonicity,[status(thm)],[369])).
% 27.08/27.29 tff(371,plain,
% 27.08/27.29 (multiply(multiply(sk_c8, multiply(sk_c5, sk_c3)), sk_c7) = multiply(identity, sk_c7)),
% 27.08/27.29 inference(symmetry,[status(thm)],[370])).
% 27.08/27.29 tff(372,plain,
% 27.08/27.29 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(sk_c5, sk_c3)), sk_c7) = multiply(sk_c8, multiply(multiply(sk_c5, sk_c3), sk_c7)))),
% 27.08/27.29 inference(quant_inst,[status(thm)],[])).
% 27.08/27.29 tff(373,plain,
% 27.08/27.29 (multiply(multiply(sk_c8, multiply(sk_c5, sk_c3)), sk_c7) = multiply(sk_c8, multiply(multiply(sk_c5, sk_c3), sk_c7))),
% 27.08/27.29 inference(unit_resolution,[status(thm)],[372, 16])).
% 27.08/27.29 tff(374,plain,
% 27.08/27.29 (multiply(sk_c8, multiply(multiply(sk_c5, sk_c3), sk_c7)) = multiply(multiply(sk_c8, multiply(sk_c5, sk_c3)), sk_c7)),
% 27.08/27.29 inference(symmetry,[status(thm)],[373])).
% 27.08/27.29 tff(375,plain,
% 27.08/27.29 (((inverse(sk_c4) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c8))),
% 27.08/27.29 inference(rewrite,[status(thm)],[])).
% 27.08/27.29 tff(376,plain,
% 27.08/27.29 (((multiply(sk_c3, sk_c7) = sk_c8) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c8))),
% 27.08/27.29 inference(rewrite,[status(thm)],[])).
% 27.08/27.29 tff(377,axiom,((multiply(sk_c3, sk_c7) = sk_c8) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_21')).
% 27.08/27.29 tff(378,plain,
% 27.08/27.29 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c8)),
% 27.08/27.29 inference(modus_ponens,[status(thm)],[377, 376])).
% 27.08/27.29 tff(379,plain,
% 27.08/27.29 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c8)),
% 27.08/27.29 inference(modus_ponens,[status(thm)],[378, 375])).
% 27.08/27.29 tff(380,plain,
% 27.08/27.29 (multiply(sk_c3, sk_c7) = sk_c8),
% 27.08/27.29 inference(unit_resolution,[status(thm)],[379, 206])).
% 27.08/27.29 tff(381,plain,
% 27.08/27.29 (multiply(sk_c5, multiply(sk_c3, sk_c7)) = multiply(sk_c5, sk_c8)),
% 27.08/27.29 inference(monotonicity,[status(thm)],[380])).
% 27.08/27.29 tff(382,plain,
% 27.08/27.29 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c3), sk_c7) = multiply(sk_c5, multiply(sk_c3, sk_c7)))),
% 27.08/27.29 inference(quant_inst,[status(thm)],[])).
% 27.08/27.29 tff(383,plain,
% 27.08/27.29 (multiply(multiply(sk_c5, sk_c3), sk_c7) = multiply(sk_c5, multiply(sk_c3, sk_c7))),
% 27.08/27.29 inference(unit_resolution,[status(thm)],[382, 16])).
% 27.08/27.29 tff(384,plain,
% 27.08/27.29 (multiply(multiply(sk_c5, sk_c3), sk_c7) = multiply(sk_c5, sk_c8)),
% 27.08/27.29 inference(transitivity,[status(thm)],[383, 381])).
% 27.08/27.29 tff(385,plain,
% 27.08/27.29 (multiply(sk_c8, multiply(multiply(sk_c5, sk_c3), sk_c7)) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 27.08/27.29 inference(monotonicity,[status(thm)],[384])).
% 27.08/27.29 tff(386,plain,
% 27.08/27.29 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(sk_c8, multiply(multiply(sk_c5, sk_c3), sk_c7))),
% 27.08/27.29 inference(symmetry,[status(thm)],[385])).
% 27.08/27.29 tff(387,plain,
% 27.08/27.29 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7),
% 27.08/27.29 inference(transitivity,[status(thm)],[386, 374, 371, 9])).
% 27.08/27.29 tff(388,plain,
% 27.08/27.29 (multiply(inverse(sk_c1), sk_c7) = multiply(sk_c2, sk_c7)),
% 27.08/27.29 inference(monotonicity,[status(thm)],[284])).
% 27.08/27.29 tff(389,plain,
% 27.08/27.29 (multiply(inverse(sk_c1), sk_c7) = sk_c8),
% 27.08/27.29 inference(transitivity,[status(thm)],[388, 246])).
% 27.08/27.29 tff(390,plain,
% 27.08/27.29 (multiply(sk_c1, inverse(sk_c1)) = multiply(sk_c1, sk_c2)),
% 27.08/27.29 inference(monotonicity,[status(thm)],[284])).
% 27.08/27.29 tff(391,plain,
% 27.08/27.29 (multiply(sk_c1, inverse(sk_c1)) = sk_c8),
% 27.08/27.29 inference(transitivity,[status(thm)],[390, 214])).
% 27.08/27.29 tff(392,plain,
% 27.08/27.29 (((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)))),
% 27.08/27.29 inference(rewrite,[status(thm)],[])).
% 27.08/27.29 tff(393,plain,
% 27.08/27.29 (((~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8))) <=> ((~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)))),
% 27.08/27.29 inference(rewrite,[status(thm)],[])).
% 27.08/27.29 tff(394,plain,
% 27.08/27.29 (((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(inverse(sk_c5) = sk_c8))))),
% 27.08/27.29 inference(monotonicity,[status(thm)],[393])).
% 27.08/27.29 tff(395,plain,
% 27.08/27.29 (((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)))),
% 27.08/27.29 inference(transitivity,[status(thm)],[394, 392])).
% 27.08/27.29 tff(396,plain,
% 27.08/27.29 ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)))),
% 27.08/27.29 inference(quant_inst,[status(thm)],[])).
% 27.08/27.29 tff(397,plain,
% 27.08/27.29 ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(inverse(sk_c5) = sk_c8))),
% 27.08/27.29 inference(modus_ponens,[status(thm)],[396, 395])).
% 27.08/27.29 tff(398,plain,
% 27.08/27.29 ((~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7))),
% 27.08/27.29 inference(unit_resolution,[status(thm)],[397, 201, 364, 380, 191])).
% 27.08/27.29 tff(399,plain,
% 27.08/27.29 (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)),
% 27.08/27.29 inference(unit_resolution,[status(thm)],[398, 391, 389])).
% 27.08/27.29 tff(400,plain,
% 27.08/27.29 ($false),
% 27.08/27.29 inference(unit_resolution,[status(thm)],[399, 387])).
% 27.08/27.29 tff(401,plain,(inverse(sk_c4) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 27.08/27.29 tff(402,plain,
% 27.08/27.29 (inverse(sk_c4) = inverse(sk_c5)),
% 27.08/27.29 inference(transitivity,[status(thm)],[401, 202])).
% 27.08/27.29 tff(403,plain,
% 27.08/27.29 (multiply(inverse(sk_c4), sk_c7) = multiply(inverse(sk_c5), sk_c7)),
% 27.08/27.29 inference(monotonicity,[status(thm)],[402])).
% 27.08/27.29 tff(404,plain,
% 27.08/27.29 ((multiply(inverse(sk_c4), sk_c7) = sk_c8) <=> (multiply(inverse(sk_c5), sk_c7) = sk_c8)),
% 27.08/27.29 inference(monotonicity,[status(thm)],[403])).
% 27.08/27.29 tff(405,plain,
% 27.08/27.29 ((~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) <=> (~(multiply(inverse(sk_c5), sk_c7) = sk_c8))),
% 27.08/27.29 inference(monotonicity,[status(thm)],[404])).
% 27.08/27.29 tff(406,assumption,(multiply(sk_c4, sk_c7) = sk_c8), introduced(assumption)).
% 27.08/27.29 tff(407,plain,
% 27.08/27.29 (sk_c8 = inverse(sk_c4)),
% 27.08/27.29 inference(symmetry,[status(thm)],[401])).
% 27.08/27.29 tff(408,plain,
% 27.08/27.29 (multiply(sk_c8, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 27.08/27.29 inference(monotonicity,[status(thm)],[407])).
% 27.08/27.29 tff(409,plain,
% 27.08/27.29 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c8, sk_c4)),
% 27.08/27.29 inference(symmetry,[status(thm)],[408])).
% 27.08/27.29 tff(410,plain,
% 27.08/27.29 (identity = multiply(inverse(sk_c4), sk_c4)),
% 27.08/27.29 inference(symmetry,[status(thm)],[347])).
% 27.08/27.29 tff(411,plain,
% 27.08/27.29 (identity = multiply(sk_c8, sk_c4)),
% 27.08/27.29 inference(transitivity,[status(thm)],[410, 409])).
% 27.08/27.29 tff(412,plain,
% 27.08/27.29 (multiply(identity, sk_c7) = multiply(multiply(sk_c8, sk_c4), sk_c7)),
% 27.08/27.29 inference(monotonicity,[status(thm)],[411])).
% 27.08/27.29 tff(413,plain,
% 27.08/27.29 (multiply(multiply(sk_c8, sk_c4), sk_c7) = multiply(identity, sk_c7)),
% 27.08/27.29 inference(symmetry,[status(thm)],[412])).
% 27.08/27.29 tff(414,plain,
% 27.08/27.29 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c4), sk_c7) = multiply(sk_c8, multiply(sk_c4, sk_c7)))),
% 27.08/27.29 inference(quant_inst,[status(thm)],[])).
% 27.08/27.29 tff(415,plain,
% 27.08/27.29 (multiply(multiply(sk_c8, sk_c4), sk_c7) = multiply(sk_c8, multiply(sk_c4, sk_c7))),
% 27.08/27.29 inference(unit_resolution,[status(thm)],[414, 16])).
% 27.08/27.29 tff(416,plain,
% 27.08/27.29 (multiply(sk_c8, multiply(sk_c4, sk_c7)) = multiply(multiply(sk_c8, sk_c4), sk_c7)),
% 27.08/27.29 inference(symmetry,[status(thm)],[415])).
% 27.08/27.29 tff(417,assumption,(~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)), introduced(assumption)).
% 27.08/27.29 tff(418,assumption,(~(multiply(sk_c4, sk_c7) = sk_c8)), introduced(assumption)).
% 27.08/27.29 tff(419,plain,
% 27.08/27.29 (((multiply(sk_c1, sk_c2) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((multiply(sk_c1, sk_c2) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 27.08/27.29 inference(rewrite,[status(thm)],[])).
% 27.08/27.29 tff(420,axiom,((multiply(sk_c1, sk_c2) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_2')).
% 27.08/27.29 tff(421,plain,
% 27.08/27.29 ((multiply(sk_c1, sk_c2) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 27.08/27.29 inference(modus_ponens,[status(thm)],[420, 419])).
% 27.08/27.29 tff(422,plain,
% 27.08/27.29 (multiply(sk_c1, sk_c2) = sk_c8),
% 27.08/27.29 inference(unit_resolution,[status(thm)],[421, 418])).
% 27.08/27.29 tff(423,plain,
% 27.08/27.29 (multiply(sk_c1, sk_c2) = multiply(sk_c1, multiply(identity, sk_c2))),
% 27.08/27.29 inference(monotonicity,[status(thm)],[113])).
% 27.08/27.29 tff(424,plain,
% 27.08/27.29 (multiply(sk_c1, multiply(identity, sk_c2)) = multiply(sk_c1, sk_c2)),
% 27.08/27.29 inference(symmetry,[status(thm)],[423])).
% 27.08/27.29 tff(425,plain,
% 27.08/27.29 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, identity), sk_c2) = multiply(sk_c1, multiply(identity, sk_c2)))),
% 27.08/27.29 inference(quant_inst,[status(thm)],[])).
% 27.08/27.29 tff(426,plain,
% 27.08/27.29 (multiply(multiply(sk_c1, identity), sk_c2) = multiply(sk_c1, multiply(identity, sk_c2))),
% 27.08/27.29 inference(unit_resolution,[status(thm)],[425, 16])).
% 27.08/27.29 tff(427,plain,
% 27.08/27.29 (multiply(multiply(sk_c1, identity), sk_c2) = inverse(sk_c3)),
% 27.08/27.29 inference(transitivity,[status(thm)],[426, 424, 422, 365])).
% 27.08/27.29 tff(428,plain,
% 27.08/27.29 (multiply(multiply(multiply(sk_c1, identity), sk_c2), sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 27.08/27.29 inference(monotonicity,[status(thm)],[427])).
% 27.08/27.29 tff(429,plain,
% 27.08/27.29 (multiply(inverse(sk_c3), sk_c3) = multiply(multiply(multiply(sk_c1, identity), sk_c2), sk_c3)),
% 27.08/27.29 inference(symmetry,[status(thm)],[428])).
% 27.08/27.29 tff(430,plain,
% 27.08/27.29 (identity = multiply(multiply(multiply(sk_c1, identity), sk_c2), sk_c3)),
% 27.08/27.29 inference(transitivity,[status(thm)],[56, 429])).
% 27.08/27.29 tff(431,plain,
% 27.08/27.29 (multiply(identity, sk_c7) = multiply(multiply(multiply(multiply(sk_c1, identity), sk_c2), sk_c3), sk_c7)),
% 27.08/27.29 inference(monotonicity,[status(thm)],[430])).
% 27.08/27.29 tff(432,plain,
% 27.08/27.29 (multiply(multiply(multiply(multiply(sk_c1, identity), sk_c2), sk_c3), sk_c7) = multiply(identity, sk_c7)),
% 27.08/27.29 inference(symmetry,[status(thm)],[431])).
% 27.08/27.29 tff(433,plain,
% 27.08/27.29 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c1, identity), sk_c2), sk_c3), sk_c7) = multiply(multiply(multiply(sk_c1, identity), sk_c2), multiply(sk_c3, sk_c7)))),
% 27.08/27.29 inference(quant_inst,[status(thm)],[])).
% 27.08/27.29 tff(434,plain,
% 27.08/27.29 (multiply(multiply(multiply(multiply(sk_c1, identity), sk_c2), sk_c3), sk_c7) = multiply(multiply(multiply(sk_c1, identity), sk_c2), multiply(sk_c3, sk_c7))),
% 27.08/27.29 inference(unit_resolution,[status(thm)],[433, 16])).
% 27.08/27.29 tff(435,plain,
% 27.08/27.29 (multiply(multiply(multiply(sk_c1, identity), sk_c2), multiply(sk_c3, sk_c7)) = multiply(multiply(multiply(multiply(sk_c1, identity), sk_c2), sk_c3), sk_c7)),
% 27.08/27.29 inference(symmetry,[status(thm)],[434])).
% 27.08/27.29 tff(436,plain,
% 27.08/27.29 (multiply(sk_c1, multiply(identity, sk_c2)) = multiply(multiply(sk_c1, identity), sk_c2)),
% 27.08/27.29 inference(symmetry,[status(thm)],[426])).
% 27.08/27.29 tff(437,plain,
% 27.08/27.29 (sk_c8 = multiply(sk_c1, sk_c2)),
% 27.08/27.29 inference(symmetry,[status(thm)],[422])).
% 27.08/27.29 tff(438,plain,
% 27.08/27.29 (((multiply(sk_c3, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((multiply(sk_c3, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 27.08/27.29 inference(rewrite,[status(thm)],[])).
% 27.08/27.29 tff(439,axiom,((multiply(sk_c3, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_22')).
% 27.08/27.29 tff(440,plain,
% 27.08/27.29 ((multiply(sk_c3, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 27.08/27.29 inference(modus_ponens,[status(thm)],[439, 438])).
% 27.08/27.29 tff(441,plain,
% 27.08/27.29 (multiply(sk_c3, sk_c7) = sk_c8),
% 27.08/27.29 inference(unit_resolution,[status(thm)],[440, 418])).
% 27.08/27.29 tff(442,plain,
% 27.08/27.29 (multiply(sk_c3, sk_c7) = multiply(multiply(sk_c1, identity), sk_c2)),
% 27.08/27.29 inference(transitivity,[status(thm)],[441, 437, 423, 436])).
% 27.08/27.29 tff(443,plain,
% 27.08/27.29 (multiply(multiply(multiply(sk_c1, identity), sk_c2), multiply(sk_c3, sk_c7)) = multiply(multiply(multiply(sk_c1, identity), sk_c2), multiply(multiply(sk_c1, identity), sk_c2))),
% 27.08/27.29 inference(monotonicity,[status(thm)],[442])).
% 27.08/27.29 tff(444,plain,
% 27.08/27.29 (multiply(multiply(multiply(sk_c1, identity), sk_c2), multiply(multiply(sk_c1, identity), sk_c2)) = multiply(multiply(multiply(sk_c1, identity), sk_c2), multiply(sk_c3, sk_c7))),
% 27.08/27.29 inference(symmetry,[status(thm)],[443])).
% 27.08/27.29 tff(445,plain,
% 27.08/27.29 (multiply(multiply(sk_c1, identity), sk_c2) = multiply(sk_c1, sk_c2)),
% 27.08/27.29 inference(transitivity,[status(thm)],[426, 424])).
% 27.08/27.29 tff(446,plain,
% 27.08/27.29 (multiply(multiply(multiply(sk_c1, identity), sk_c2), multiply(multiply(sk_c1, identity), sk_c2)) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c1, sk_c2))),
% 27.08/27.29 inference(monotonicity,[status(thm)],[445, 445])).
% 27.08/27.29 tff(447,plain,
% 27.08/27.29 (multiply(multiply(sk_c1, sk_c2), multiply(sk_c1, sk_c2)) = multiply(multiply(multiply(sk_c1, identity), sk_c2), multiply(multiply(sk_c1, identity), sk_c2))),
% 27.08/27.29 inference(symmetry,[status(thm)],[446])).
% 27.08/27.29 tff(448,plain,
% 27.08/27.29 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, sk_c2), sk_c1), sk_c2) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c1, sk_c2)))),
% 27.08/27.29 inference(quant_inst,[status(thm)],[])).
% 27.08/27.29 tff(449,plain,
% 27.08/27.29 (multiply(multiply(multiply(sk_c1, sk_c2), sk_c1), sk_c2) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c1, sk_c2))),
% 27.08/27.29 inference(unit_resolution,[status(thm)],[448, 16])).
% 27.08/27.29 tff(450,assumption,(~(inverse(sk_c1) = sk_c2)), introduced(assumption)).
% 27.08/27.29 tff(451,plain,
% 27.08/27.29 (((inverse(sk_c1) = sk_c2) | (multiply(sk_c8, sk_c6) = sk_c7)) <=> ((inverse(sk_c1) = sk_c2) | (multiply(sk_c8, sk_c6) = sk_c7))),
% 27.08/27.29 inference(rewrite,[status(thm)],[])).
% 27.08/27.29 tff(452,axiom,((inverse(sk_c1) = sk_c2) | (multiply(sk_c8, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_8')).
% 27.08/27.29 tff(453,plain,
% 27.08/27.29 ((inverse(sk_c1) = sk_c2) | (multiply(sk_c8, sk_c6) = sk_c7)),
% 27.08/27.29 inference(modus_ponens,[status(thm)],[452, 451])).
% 27.08/27.29 tff(454,plain,
% 27.08/27.29 (multiply(sk_c8, sk_c6) = sk_c7),
% 27.08/27.29 inference(unit_resolution,[status(thm)],[453, 450])).
% 27.08/27.29 tff(455,plain,
% 27.08/27.29 (((inverse(sk_c1) = sk_c2) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((inverse(sk_c1) = sk_c2) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 27.08/27.29 inference(rewrite,[status(thm)],[])).
% 27.08/27.29 tff(456,axiom,((inverse(sk_c1) = sk_c2) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_9')).
% 27.08/27.29 tff(457,plain,
% 27.08/27.29 ((inverse(sk_c1) = sk_c2) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 27.08/27.29 inference(modus_ponens,[status(thm)],[456, 455])).
% 27.08/27.29 tff(458,plain,
% 27.08/27.29 (multiply(sk_c5, sk_c8) = sk_c6),
% 27.08/27.29 inference(unit_resolution,[status(thm)],[457, 450])).
% 27.08/27.29 tff(459,plain,
% 27.08/27.29 (sk_c6 = multiply(sk_c5, sk_c8)),
% 27.08/27.29 inference(symmetry,[status(thm)],[458])).
% 27.08/27.29 tff(460,plain,
% 27.08/27.29 (multiply(sk_c8, sk_c6) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 27.08/27.29 inference(monotonicity,[status(thm)],[459])).
% 27.08/27.29 tff(461,plain,
% 27.08/27.29 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(sk_c8, sk_c6)),
% 27.08/27.29 inference(symmetry,[status(thm)],[460])).
% 27.08/27.29 tff(462,plain,
% 27.08/27.29 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7),
% 27.08/27.29 inference(transitivity,[status(thm)],[461, 454])).
% 27.08/27.29 tff(463,plain,
% 27.08/27.29 (((inverse(sk_c1) = sk_c2) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((inverse(sk_c1) = sk_c2) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 27.08/27.29 inference(rewrite,[status(thm)],[])).
% 27.08/27.29 tff(464,axiom,((inverse(sk_c1) = sk_c2) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_7')).
% 27.08/27.29 tff(465,plain,
% 27.08/27.29 ((inverse(sk_c1) = sk_c2) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 27.08/27.29 inference(modus_ponens,[status(thm)],[464, 463])).
% 27.08/27.29 tff(466,plain,
% 27.08/27.29 (multiply(sk_c4, sk_c7) = sk_c8),
% 27.08/27.29 inference(unit_resolution,[status(thm)],[465, 450])).
% 27.08/27.29 tff(467,plain,
% 27.08/27.29 (inverse(sk_c4) = sk_c7),
% 27.08/27.29 inference(transitivity,[status(thm)],[401, 61, 332, 222, 461, 454])).
% 27.08/27.29 tff(468,plain,
% 27.08/27.29 (multiply(sk_c4, inverse(sk_c4)) = multiply(sk_c4, sk_c7)),
% 27.08/27.29 inference(monotonicity,[status(thm)],[467])).
% 27.08/27.29 tff(469,plain,
% 27.08/27.29 (multiply(sk_c4, inverse(sk_c4)) = sk_c8),
% 27.08/27.29 inference(transitivity,[status(thm)],[468, 466])).
% 27.08/27.29 tff(470,plain,
% 27.08/27.29 ((~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8))),
% 27.08/27.29 inference(unit_resolution,[status(thm)],[342, 401, 201, 191])).
% 27.08/27.29 tff(471,plain,
% 27.08/27.29 (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)),
% 27.08/27.29 inference(unit_resolution,[status(thm)],[470, 469, 466, 462])).
% 27.08/27.29 tff(472,plain,
% 27.08/27.29 (~(multiply(inverse(sk_c5), sk_c7) = sk_c8)),
% 27.08/27.29 inference(modus_ponens,[status(thm)],[471, 405])).
% 27.08/27.29 tff(473,plain,
% 27.08/27.29 (multiply(sk_c8, sk_c4) = multiply(sk_c8, sk_c5)),
% 27.08/27.29 inference(transitivity,[status(thm)],[408, 347, 227, 224])).
% 27.08/27.29 tff(474,plain,
% 27.08/27.29 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 27.08/27.29 inference(monotonicity,[status(thm)],[473])).
% 27.08/27.29 tff(475,plain,
% 27.08/27.29 (multiply(sk_c4, sk_c8) = multiply(sk_c4, inverse(sk_c4))),
% 27.08/27.29 inference(monotonicity,[status(thm)],[407])).
% 27.08/27.29 tff(476,plain,
% 27.08/27.29 (multiply(sk_c4, inverse(sk_c4)) = multiply(sk_c4, sk_c8)),
% 27.08/27.29 inference(symmetry,[status(thm)],[475])).
% 27.08/27.29 tff(477,plain,
% 27.08/27.29 (multiply(sk_c4, sk_c7) = multiply(sk_c4, inverse(sk_c4))),
% 27.08/27.29 inference(symmetry,[status(thm)],[468])).
% 27.08/27.29 tff(478,plain,
% 27.08/27.29 (sk_c8 = multiply(sk_c4, sk_c7)),
% 27.08/27.29 inference(symmetry,[status(thm)],[466])).
% 27.08/27.29 tff(479,plain,
% 27.08/27.29 (sk_c7 = multiply(sk_c8, sk_c6)),
% 27.08/27.29 inference(symmetry,[status(thm)],[454])).
% 27.08/27.29 tff(480,plain,
% 27.08/27.29 (sk_c7 = multiply(sk_c4, sk_c8)),
% 27.08/27.29 inference(transitivity,[status(thm)],[479, 460, 237, 331, 60, 478, 477, 476])).
% 27.08/27.29 tff(481,plain,
% 27.08/27.29 (multiply(inverse(sk_c5), sk_c7) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 27.08/27.29 inference(monotonicity,[status(thm)],[201, 480])).
% 27.08/27.29 tff(482,plain,
% 27.08/27.29 (multiply(inverse(sk_c5), sk_c7) = sk_c8),
% 27.08/27.29 inference(transitivity,[status(thm)],[481, 354, 474, 331, 60])).
% 27.08/27.29 tff(483,plain,
% 27.08/27.29 ($false),
% 27.08/27.29 inference(unit_resolution,[status(thm)],[482, 472])).
% 27.08/27.29 tff(484,plain,(inverse(sk_c1) = sk_c2), inference(lemma,lemma(discharge,[]))).
% 27.08/27.29 tff(485,plain,
% 27.08/27.29 (sk_c2 = inverse(sk_c1)),
% 27.08/27.29 inference(symmetry,[status(thm)],[484])).
% 27.08/27.29 tff(486,plain,
% 27.08/27.29 (multiply(sk_c2, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 27.08/27.29 inference(monotonicity,[status(thm)],[485])).
% 27.08/27.29 tff(487,plain,
% 27.08/27.29 (multiply(sk_c2, sk_c1) = identity),
% 27.08/27.29 inference(transitivity,[status(thm)],[486, 120])).
% 27.08/27.29 tff(488,plain,
% 27.08/27.29 (multiply(sk_c1, multiply(sk_c2, sk_c1)) = multiply(sk_c1, identity)),
% 27.08/27.29 inference(monotonicity,[status(thm)],[487])).
% 27.08/27.29 tff(489,plain,
% 27.08/27.29 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c2), sk_c1) = multiply(sk_c1, multiply(sk_c2, sk_c1)))),
% 27.08/27.29 inference(quant_inst,[status(thm)],[])).
% 27.08/27.29 tff(490,plain,
% 27.08/27.29 (multiply(multiply(sk_c1, sk_c2), sk_c1) = multiply(sk_c1, multiply(sk_c2, sk_c1))),
% 27.08/27.29 inference(unit_resolution,[status(thm)],[489, 16])).
% 27.08/27.29 tff(491,plain,
% 27.08/27.29 (multiply(multiply(sk_c1, sk_c2), sk_c1) = multiply(sk_c1, identity)),
% 27.08/27.29 inference(transitivity,[status(thm)],[490, 488])).
% 27.08/27.29 tff(492,plain,
% 27.08/27.29 (multiply(multiply(multiply(sk_c1, sk_c2), sk_c1), sk_c2) = multiply(multiply(sk_c1, identity), sk_c2)),
% 27.08/27.29 inference(monotonicity,[status(thm)],[491])).
% 27.08/27.29 tff(493,plain,
% 27.08/27.29 (multiply(multiply(sk_c1, identity), sk_c2) = multiply(multiply(multiply(sk_c1, sk_c2), sk_c1), sk_c2)),
% 27.08/27.29 inference(symmetry,[status(thm)],[492])).
% 27.08/27.29 tff(494,plain,
% 27.08/27.29 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7),
% 27.08/27.29 inference(transitivity,[status(thm)],[237, 331, 60, 437, 423, 436, 493, 449, 447, 444, 435, 432, 9])).
% 27.08/27.29 tff(495,plain,
% 27.08/27.29 ($false),
% 27.08/27.29 inference(unit_resolution,[status(thm)],[417, 494])).
% 27.08/27.29 tff(496,plain,((multiply(sk_c4, sk_c7) = sk_c8) | (multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)), inference(lemma,lemma(discharge,[]))).
% 27.08/27.29 tff(497,plain,
% 27.08/27.29 (multiply(sk_c4, sk_c7) = sk_c8),
% 27.08/27.29 inference(unit_resolution,[status(thm)],[496, 417])).
% 27.08/27.29 tff(498,plain,
% 27.08/27.29 (multiply(sk_c8, multiply(sk_c4, sk_c7)) = multiply(sk_c8, sk_c8)),
% 27.08/27.29 inference(monotonicity,[status(thm)],[497])).
% 27.08/27.29 tff(499,plain,
% 27.08/27.29 (multiply(sk_c8, sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c7))),
% 27.08/27.29 inference(symmetry,[status(thm)],[498])).
% 27.08/27.29 tff(500,plain,
% 27.08/27.29 (multiply(sk_c1, multiply(identity, sk_c2)) = multiply(sk_c1, sk_c2)),
% 27.08/27.29 inference(monotonicity,[status(thm)],[112])).
% 27.08/27.29 tff(501,plain,
% 27.08/27.29 (multiply(sk_c1, sk_c2) = multiply(sk_c1, multiply(identity, sk_c2))),
% 27.08/27.29 inference(symmetry,[status(thm)],[500])).
% 27.08/27.29 tff(502,assumption,(~(multiply(sk_c1, sk_c2) = sk_c8)), introduced(assumption)).
% 27.08/27.29 tff(503,plain,
% 27.08/27.29 (((multiply(sk_c1, sk_c2) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)) <=> ((multiply(sk_c1, sk_c2) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7))),
% 27.08/27.29 inference(rewrite,[status(thm)],[])).
% 27.08/27.29 tff(504,axiom,((multiply(sk_c1, sk_c2) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_3')).
% 27.08/27.30 tff(505,plain,
% 27.08/27.30 ((multiply(sk_c1, sk_c2) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)),
% 27.08/27.30 inference(modus_ponens,[status(thm)],[504, 503])).
% 27.08/27.30 tff(506,plain,
% 27.08/27.30 (multiply(sk_c8, sk_c6) = sk_c7),
% 27.08/27.30 inference(unit_resolution,[status(thm)],[505, 502])).
% 27.08/27.30 tff(507,plain,
% 27.08/27.30 (((multiply(sk_c1, sk_c2) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((multiply(sk_c1, sk_c2) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 27.08/27.30 inference(rewrite,[status(thm)],[])).
% 27.08/27.30 tff(508,axiom,((multiply(sk_c1, sk_c2) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_4')).
% 27.08/27.30 tff(509,plain,
% 27.08/27.30 ((multiply(sk_c1, sk_c2) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 27.08/27.30 inference(modus_ponens,[status(thm)],[508, 507])).
% 27.08/27.30 tff(510,plain,
% 27.08/27.30 (multiply(sk_c5, sk_c8) = sk_c6),
% 27.08/27.30 inference(unit_resolution,[status(thm)],[509, 502])).
% 27.08/27.30 tff(511,plain,
% 27.08/27.30 (sk_c6 = multiply(sk_c5, sk_c8)),
% 27.08/27.30 inference(symmetry,[status(thm)],[510])).
% 27.08/27.30 tff(512,plain,
% 27.08/27.30 (multiply(sk_c8, sk_c6) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 27.08/27.30 inference(monotonicity,[status(thm)],[511])).
% 27.08/27.30 tff(513,plain,
% 27.08/27.30 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(sk_c8, sk_c6)),
% 27.08/27.30 inference(symmetry,[status(thm)],[512])).
% 27.08/27.30 tff(514,plain,
% 27.08/27.30 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7),
% 27.08/27.30 inference(transitivity,[status(thm)],[513, 506])).
% 27.08/27.30 tff(515,plain,
% 27.08/27.30 ($false),
% 27.08/27.30 inference(unit_resolution,[status(thm)],[417, 514])).
% 27.08/27.30 tff(516,plain,((multiply(sk_c1, sk_c2) = sk_c8) | (multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)), inference(lemma,lemma(discharge,[]))).
% 27.08/27.30 tff(517,plain,
% 27.08/27.30 (multiply(sk_c1, sk_c2) = sk_c8),
% 27.08/27.30 inference(unit_resolution,[status(thm)],[516, 417])).
% 27.08/27.30 tff(518,plain,
% 27.08/27.30 (sk_c8 = multiply(sk_c1, sk_c2)),
% 27.08/27.30 inference(symmetry,[status(thm)],[517])).
% 27.08/27.30 tff(519,plain,
% 27.08/27.30 (sk_c8 = multiply(multiply(sk_c1, identity), sk_c2)),
% 27.08/27.30 inference(transitivity,[status(thm)],[518, 501, 436])).
% 27.08/27.30 tff(520,plain,
% 27.08/27.30 (multiply(sk_c8, sk_c8) = multiply(multiply(multiply(sk_c1, identity), sk_c2), multiply(multiply(sk_c1, identity), sk_c2))),
% 27.08/27.30 inference(monotonicity,[status(thm)],[519, 519])).
% 27.08/27.30 tff(521,plain,
% 27.08/27.30 (multiply(multiply(multiply(sk_c1, identity), sk_c2), multiply(multiply(sk_c1, identity), sk_c2)) = multiply(sk_c8, sk_c8)),
% 27.08/27.30 inference(symmetry,[status(thm)],[520])).
% 27.08/27.30 tff(522,plain,
% 27.08/27.30 (multiply(multiply(sk_c1, identity), sk_c2) = multiply(sk_c1, sk_c2)),
% 27.08/27.30 inference(transitivity,[status(thm)],[426, 500])).
% 27.08/27.30 tff(523,plain,
% 27.08/27.30 (multiply(multiply(multiply(sk_c1, identity), sk_c2), multiply(multiply(sk_c1, identity), sk_c2)) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c1, sk_c2))),
% 27.08/27.30 inference(monotonicity,[status(thm)],[522, 522])).
% 27.08/27.30 tff(524,plain,
% 27.08/27.30 (multiply(multiply(sk_c1, sk_c2), multiply(sk_c1, sk_c2)) = multiply(multiply(multiply(sk_c1, identity), sk_c2), multiply(multiply(sk_c1, identity), sk_c2))),
% 27.08/27.30 inference(symmetry,[status(thm)],[523])).
% 27.08/27.30 tff(525,plain,
% 27.08/27.30 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7),
% 27.08/27.30 inference(transitivity,[status(thm)],[237, 331, 60, 518, 501, 436, 493, 449, 524, 521, 499, 416, 413, 9])).
% 27.08/27.30 tff(526,plain,
% 27.08/27.30 ($false),
% 27.08/27.30 inference(unit_resolution,[status(thm)],[417, 525])).
% 27.08/27.30 tff(527,plain,(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 27.08/27.30 tff(528,plain,
% 27.08/27.30 (sk_c7 = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 27.08/27.30 inference(symmetry,[status(thm)],[527])).
% 27.08/27.30 tff(529,plain,
% 27.08/27.30 (sk_c7 = inverse(sk_c4)),
% 27.08/27.30 inference(transitivity,[status(thm)],[528, 237, 331, 60, 407])).
% 27.08/27.30 tff(530,plain,
% 27.08/27.30 (multiply(sk_c4, sk_c7) = multiply(sk_c4, inverse(sk_c4))),
% 27.08/27.30 inference(monotonicity,[status(thm)],[529])).
% 27.08/27.30 tff(531,plain,
% 27.08/27.30 ((multiply(sk_c4, sk_c7) = sk_c8) <=> (multiply(sk_c4, inverse(sk_c4)) = sk_c8)),
% 27.08/27.30 inference(monotonicity,[status(thm)],[530])).
% 27.08/27.30 tff(532,plain,
% 27.08/27.30 (multiply(sk_c4, inverse(sk_c4)) = sk_c8),
% 27.08/27.30 inference(modus_ponens,[status(thm)],[406, 531])).
% 27.08/27.30 tff(533,plain,
% 27.08/27.30 ((~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8))),
% 27.08/27.30 inference(unit_resolution,[status(thm)],[470, 527])).
% 27.08/27.30 tff(534,plain,
% 27.08/27.30 (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)),
% 27.08/27.30 inference(unit_resolution,[status(thm)],[533, 532, 406])).
% 27.08/27.30 tff(535,plain,
% 27.08/27.30 (~(multiply(inverse(sk_c5), sk_c7) = sk_c8)),
% 27.08/27.30 inference(modus_ponens,[status(thm)],[534, 405])).
% 27.08/27.30 tff(536,plain,
% 27.08/27.30 (multiply(sk_c4, inverse(sk_c4)) = multiply(sk_c4, sk_c7)),
% 27.08/27.30 inference(symmetry,[status(thm)],[530])).
% 27.08/27.30 tff(537,plain,
% 27.08/27.30 (multiply(sk_c8, multiply(sk_c4, inverse(sk_c4))) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 27.08/27.30 inference(monotonicity,[status(thm)],[476])).
% 27.08/27.30 tff(538,plain,
% 27.08/27.30 (multiply(sk_c8, multiply(sk_c4, inverse(sk_c4))) = inverse(sk_c4)),
% 27.08/27.30 inference(transitivity,[status(thm)],[537, 354, 474, 331, 60, 407])).
% 27.08/27.30 tff(539,plain,
% 27.08/27.30 (multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, inverse(sk_c4)))) = multiply(sk_c4, inverse(sk_c4))),
% 27.08/27.30 inference(monotonicity,[status(thm)],[538])).
% 27.08/27.30 tff(540,plain,
% 27.08/27.30 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, inverse(sk_c4))) = multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, inverse(sk_c4)))))),
% 27.08/27.30 inference(quant_inst,[status(thm)],[])).
% 27.08/27.30 tff(541,plain,
% 27.08/27.30 (multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, inverse(sk_c4))) = multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, inverse(sk_c4))))),
% 27.08/27.30 inference(unit_resolution,[status(thm)],[540, 16])).
% 27.08/27.30 tff(542,plain,
% 27.08/27.30 (multiply(multiply(sk_c4, inverse(sk_c4)), multiply(sk_c4, inverse(sk_c4))) = multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, inverse(sk_c4)))),
% 27.08/27.30 inference(monotonicity,[status(thm)],[476])).
% 27.08/27.30 tff(543,plain,
% 27.08/27.30 (sk_c8 = multiply(sk_c4, sk_c7)),
% 27.08/27.30 inference(symmetry,[status(thm)],[406])).
% 27.08/27.30 tff(544,plain,
% 27.08/27.30 (sk_c7 = multiply(sk_c4, inverse(sk_c4))),
% 27.08/27.30 inference(transitivity,[status(thm)],[528, 237, 331, 60, 543, 530])).
% 27.08/27.30 tff(545,plain,
% 27.08/27.30 (inverse(sk_c5) = multiply(sk_c4, inverse(sk_c4))),
% 27.08/27.30 inference(transitivity,[status(thm)],[201, 543, 530])).
% 27.08/27.30 tff(546,plain,
% 27.08/27.30 (multiply(inverse(sk_c5), sk_c7) = multiply(multiply(sk_c4, inverse(sk_c4)), multiply(sk_c4, inverse(sk_c4)))),
% 27.08/27.30 inference(monotonicity,[status(thm)],[545, 544])).
% 27.08/27.30 tff(547,plain,
% 27.08/27.30 (multiply(inverse(sk_c5), sk_c7) = sk_c8),
% 27.08/27.30 inference(transitivity,[status(thm)],[546, 542, 541, 539, 536, 406])).
% 27.08/27.30 tff(548,plain,
% 27.08/27.30 ($false),
% 27.08/27.30 inference(unit_resolution,[status(thm)],[547, 535])).
% 27.08/27.30 tff(549,plain,(~(multiply(sk_c4, sk_c7) = sk_c8)), inference(lemma,lemma(discharge,[]))).
% 27.08/27.30 tff(550,plain,
% 27.08/27.30 (multiply(sk_c1, sk_c2) = sk_c8),
% 27.08/27.30 inference(unit_resolution,[status(thm)],[421, 549])).
% 27.08/27.30 tff(551,plain,
% 27.08/27.30 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(sk_c1, sk_c8)), sk_c4) = multiply(sk_c2, multiply(multiply(sk_c1, sk_c8), sk_c4)))),
% 27.08/27.30 inference(quant_inst,[status(thm)],[])).
% 27.08/27.30 tff(552,plain,
% 27.08/27.30 (multiply(multiply(sk_c2, multiply(sk_c1, sk_c8)), sk_c4) = multiply(sk_c2, multiply(multiply(sk_c1, sk_c8), sk_c4))),
% 27.08/27.30 inference(unit_resolution,[status(thm)],[551, 16])).
% 27.08/27.30 tff(553,plain,
% 27.08/27.30 (multiply(sk_c2, sk_c1) = multiply(sk_c8, sk_c5)),
% 27.08/27.30 inference(transitivity,[status(thm)],[486, 120, 227, 224])).
% 27.08/27.30 tff(554,plain,
% 27.08/27.30 (multiply(multiply(sk_c2, sk_c1), sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 27.08/27.30 inference(monotonicity,[status(thm)],[553])).
% 27.08/27.30 tff(555,plain,
% 27.08/27.30 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c1), sk_c8) = multiply(sk_c2, multiply(sk_c1, sk_c8)))),
% 27.08/27.30 inference(quant_inst,[status(thm)],[])).
% 27.08/27.30 tff(556,plain,
% 27.08/27.30 (multiply(multiply(sk_c2, sk_c1), sk_c8) = multiply(sk_c2, multiply(sk_c1, sk_c8))),
% 27.08/27.30 inference(unit_resolution,[status(thm)],[555, 16])).
% 27.08/27.30 tff(557,plain,
% 27.08/27.30 (multiply(sk_c2, multiply(sk_c1, sk_c8)) = multiply(multiply(sk_c2, sk_c1), sk_c8)),
% 27.08/27.30 inference(symmetry,[status(thm)],[556])).
% 27.08/27.30 tff(558,plain,
% 27.08/27.30 (multiply(sk_c2, multiply(sk_c1, sk_c8)) = inverse(sk_c4)),
% 27.08/27.30 inference(transitivity,[status(thm)],[557, 554, 331, 60, 407])).
% 27.08/27.30 tff(559,plain,
% 27.08/27.30 (multiply(multiply(sk_c2, multiply(sk_c1, sk_c8)), sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 27.08/27.30 inference(monotonicity,[status(thm)],[558])).
% 27.08/27.30 tff(560,plain,
% 27.08/27.30 (multiply(inverse(sk_c4), sk_c4) = multiply(multiply(sk_c2, multiply(sk_c1, sk_c8)), sk_c4)),
% 27.08/27.30 inference(symmetry,[status(thm)],[559])).
% 27.08/27.30 tff(561,plain,
% 27.08/27.30 (identity = multiply(sk_c2, multiply(multiply(sk_c1, sk_c8), sk_c4))),
% 27.08/27.30 inference(transitivity,[status(thm)],[410, 560, 552])).
% 27.08/27.30 tff(562,plain,
% 27.08/27.30 (multiply(identity, sk_c2) = multiply(multiply(sk_c2, multiply(multiply(sk_c1, sk_c8), sk_c4)), sk_c2)),
% 27.08/27.30 inference(monotonicity,[status(thm)],[561])).
% 27.08/27.30 tff(563,plain,
% 27.08/27.30 (multiply(multiply(sk_c2, multiply(multiply(sk_c1, sk_c8), sk_c4)), sk_c2) = multiply(identity, sk_c2)),
% 27.08/27.30 inference(symmetry,[status(thm)],[562])).
% 27.08/27.30 tff(564,plain,
% 27.08/27.30 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(multiply(sk_c1, sk_c8), sk_c4)), sk_c2) = multiply(sk_c2, multiply(multiply(multiply(sk_c1, sk_c8), sk_c4), sk_c2)))),
% 27.08/27.30 inference(quant_inst,[status(thm)],[])).
% 27.08/27.30 tff(565,plain,
% 27.08/27.30 (multiply(multiply(sk_c2, multiply(multiply(sk_c1, sk_c8), sk_c4)), sk_c2) = multiply(sk_c2, multiply(multiply(multiply(sk_c1, sk_c8), sk_c4), sk_c2))),
% 27.08/27.30 inference(unit_resolution,[status(thm)],[564, 16])).
% 27.08/27.30 tff(566,plain,
% 27.08/27.30 (multiply(sk_c2, multiply(multiply(multiply(sk_c1, sk_c8), sk_c4), sk_c2)) = multiply(multiply(sk_c2, multiply(multiply(sk_c1, sk_c8), sk_c4)), sk_c2)),
% 27.08/27.30 inference(symmetry,[status(thm)],[565])).
% 27.08/27.30 tff(567,plain,
% 27.08/27.30 (multiply(sk_c8, sk_c4) = identity),
% 27.08/27.30 inference(transitivity,[status(thm)],[408, 347])).
% 27.08/27.30 tff(568,plain,
% 27.08/27.30 (multiply(sk_c1, multiply(sk_c8, sk_c4)) = multiply(sk_c1, identity)),
% 27.08/27.30 inference(monotonicity,[status(thm)],[567])).
% 27.08/27.30 tff(569,plain,
% 27.08/27.30 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c8), sk_c4) = multiply(sk_c1, multiply(sk_c8, sk_c4)))),
% 27.08/27.30 inference(quant_inst,[status(thm)],[])).
% 27.08/27.30 tff(570,plain,
% 27.08/27.30 (multiply(multiply(sk_c1, sk_c8), sk_c4) = multiply(sk_c1, multiply(sk_c8, sk_c4))),
% 27.08/27.30 inference(unit_resolution,[status(thm)],[569, 16])).
% 27.08/27.30 tff(571,plain,
% 27.08/27.30 (multiply(multiply(sk_c1, sk_c8), sk_c4) = multiply(sk_c1, identity)),
% 27.08/27.30 inference(transitivity,[status(thm)],[570, 568])).
% 27.08/27.30 tff(572,plain,
% 27.08/27.30 (multiply(multiply(multiply(sk_c1, sk_c8), sk_c4), sk_c2) = multiply(multiply(sk_c1, identity), sk_c2)),
% 27.08/27.30 inference(monotonicity,[status(thm)],[571])).
% 27.08/27.30 tff(573,plain,
% 27.08/27.30 (multiply(multiply(multiply(sk_c1, sk_c8), sk_c4), sk_c2) = sk_c7),
% 27.08/27.30 inference(transitivity,[status(thm)],[572, 426, 424, 550, 61, 332, 222, 527])).
% 27.08/27.30 tff(574,plain,
% 27.08/27.30 (multiply(sk_c2, multiply(multiply(multiply(sk_c1, sk_c8), sk_c4), sk_c2)) = multiply(sk_c2, sk_c7)),
% 27.08/27.30 inference(monotonicity,[status(thm)],[573])).
% 27.08/27.30 tff(575,plain,
% 27.08/27.30 (multiply(sk_c2, sk_c7) = multiply(sk_c2, multiply(multiply(multiply(sk_c1, sk_c8), sk_c4), sk_c2))),
% 27.08/27.30 inference(symmetry,[status(thm)],[574])).
% 27.08/27.30 tff(576,plain,
% 27.08/27.30 (((multiply(sk_c2, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((multiply(sk_c2, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 27.08/27.30 inference(rewrite,[status(thm)],[])).
% 27.08/27.30 tff(577,axiom,((multiply(sk_c2, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_12')).
% 27.08/27.30 tff(578,plain,
% 27.08/27.30 ((multiply(sk_c2, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 27.08/27.30 inference(modus_ponens,[status(thm)],[577, 576])).
% 27.08/27.30 tff(579,plain,
% 27.08/27.30 (multiply(sk_c2, sk_c7) = sk_c8),
% 27.08/27.30 inference(unit_resolution,[status(thm)],[578, 549])).
% 27.08/27.30 tff(580,plain,
% 27.08/27.30 (sk_c8 = multiply(sk_c2, sk_c7)),
% 27.08/27.30 inference(symmetry,[status(thm)],[579])).
% 27.08/27.30 tff(581,plain,
% 27.08/27.30 (sk_c8 = sk_c2),
% 27.08/27.30 inference(transitivity,[status(thm)],[580, 575, 566, 563, 112])).
% 27.08/27.30 tff(582,plain,
% 27.08/27.30 (multiply(sk_c1, sk_c8) = multiply(sk_c1, sk_c2)),
% 27.08/27.30 inference(monotonicity,[status(thm)],[581])).
% 27.08/27.30 tff(583,plain,
% 27.08/27.30 (sk_c7 = sk_c8),
% 27.08/27.30 inference(transitivity,[status(thm)],[528, 237, 331, 60])).
% 27.08/27.30 tff(584,plain,
% 27.08/27.30 (multiply(sk_c1, sk_c7) = multiply(sk_c1, sk_c8)),
% 27.08/27.30 inference(monotonicity,[status(thm)],[583])).
% 27.08/27.30 tff(585,plain,
% 27.08/27.30 (multiply(sk_c1, sk_c7) = sk_c8),
% 27.08/27.30 inference(transitivity,[status(thm)],[584, 582, 550])).
% 27.08/27.30 tff(586,plain,
% 27.08/27.30 (multiply(inverse(sk_c1), sk_c7) = multiply(sk_c2, sk_c7)),
% 27.08/27.30 inference(monotonicity,[status(thm)],[484])).
% 27.08/27.30 tff(587,plain,
% 27.08/27.30 ((multiply(inverse(sk_c1), sk_c7) = sk_c8) <=> (multiply(sk_c2, sk_c7) = sk_c8)),
% 27.08/27.30 inference(monotonicity,[status(thm)],[586])).
% 27.08/27.30 tff(588,plain,
% 27.08/27.30 ((multiply(sk_c2, sk_c7) = sk_c8) <=> (multiply(inverse(sk_c1), sk_c7) = sk_c8)),
% 27.08/27.30 inference(symmetry,[status(thm)],[587])).
% 27.08/27.30 tff(589,plain,
% 27.08/27.30 (multiply(inverse(sk_c1), sk_c7) = sk_c8),
% 27.08/27.30 inference(modus_ponens,[status(thm)],[579, 588])).
% 27.08/27.30 tff(590,plain,
% 27.08/27.30 (multiply(sk_c1, inverse(sk_c1)) = multiply(sk_c1, sk_c2)),
% 27.08/27.30 inference(monotonicity,[status(thm)],[484])).
% 27.08/27.30 tff(591,plain,
% 27.08/27.30 ((multiply(sk_c1, inverse(sk_c1)) = sk_c8) <=> (multiply(sk_c1, sk_c2) = sk_c8)),
% 27.08/27.30 inference(monotonicity,[status(thm)],[590])).
% 27.08/27.30 tff(592,plain,
% 27.08/27.30 ((multiply(sk_c1, sk_c2) = sk_c8) <=> (multiply(sk_c1, inverse(sk_c1)) = sk_c8)),
% 27.08/27.30 inference(symmetry,[status(thm)],[591])).
% 27.08/27.30 tff(593,plain,
% 27.08/27.30 (multiply(sk_c1, inverse(sk_c1)) = sk_c8),
% 27.08/27.30 inference(modus_ponens,[status(thm)],[550, 592])).
% 27.08/27.30 tff(594,plain,
% 27.08/27.30 (inverse(sk_c1) = sk_c8),
% 27.08/27.30 inference(transitivity,[status(thm)],[484, 113, 562, 565, 574, 579])).
% 27.08/27.30 tff(595,plain,
% 27.08/27.30 (((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)))),
% 27.08/27.30 inference(rewrite,[status(thm)],[])).
% 27.08/27.30 tff(596,plain,
% 27.08/27.30 (((~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8))) <=> ((~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)))),
% 27.08/27.30 inference(rewrite,[status(thm)],[])).
% 27.08/27.30 tff(597,plain,
% 27.08/27.30 (((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(inverse(sk_c5) = sk_c8))))),
% 27.08/27.32 inference(monotonicity,[status(thm)],[596])).
% 27.08/27.32 tff(598,plain,
% 27.08/27.32 (((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)))),
% 27.08/27.32 inference(transitivity,[status(thm)],[597, 595])).
% 27.08/27.32 tff(599,plain,
% 27.08/27.32 ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)))),
% 27.08/27.32 inference(quant_inst,[status(thm)],[])).
% 27.08/27.32 tff(600,plain,
% 27.08/27.32 ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(inverse(sk_c5) = sk_c8))),
% 27.08/27.32 inference(modus_ponens,[status(thm)],[599, 598])).
% 27.08/27.32 tff(601,plain,
% 27.08/27.32 ((~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7))),
% 27.08/27.32 inference(unit_resolution,[status(thm)],[600, 201, 191])).
% 27.08/27.32 tff(602,plain,
% 27.08/27.32 ((~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8))),
% 27.08/27.32 inference(unit_resolution,[status(thm)],[601, 527])).
% 27.08/27.32 tff(603,plain,
% 27.08/27.32 ($false),
% 27.08/27.32 inference(unit_resolution,[status(thm)],[602, 594, 593, 589, 585])).
% 27.08/27.32 % SZS output end Proof
% 27.08/27.32 % E exiting
%------------------------------------------------------------------------------