%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GRP226-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:07:29 AM UTC 2025
% Result : Unsatisfiable 0.12s 0.41s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP226-1 : TPTP v9.0.0. Released v2.5.0.
% 0.12/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Jun 19 15:49:03 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.41 % SZS status Unsatisfiable
% 0.12/0.41 % SZS output start Proof
% 0.12/0.41 tff(sk_c6_type, type, (
% 0.12/0.41 sk_c6: $i)).
% 0.12/0.41 tff(multiply_type, type, (
% 0.12/0.41 multiply: ( $i * $i ) > $i)).
% 0.12/0.41 tff(sk_c7_type, type, (
% 0.12/0.41 sk_c7: $i)).
% 0.12/0.41 tff(sk_c1_type, type, (
% 0.12/0.41 sk_c1: $i)).
% 0.12/0.41 tff(inverse_type, type, (
% 0.12/0.41 inverse: $i > $i)).
% 0.12/0.41 tff(sk_c5_type, type, (
% 0.12/0.41 sk_c5: $i)).
% 0.12/0.41 tff(sk_c4_type, type, (
% 0.12/0.41 sk_c4: $i)).
% 0.12/0.41 tff(sk_c3_type, type, (
% 0.12/0.41 sk_c3: $i)).
% 0.12/0.41 tff(sk_c2_type, type, (
% 0.12/0.41 sk_c2: $i)).
% 0.12/0.41 tff(identity_type, type, (
% 0.12/0.41 identity: $i)).
% 0.12/0.41 tff(1,assumption,(~(inverse(sk_c5) = sk_c6)), introduced(assumption)).
% 0.12/0.41 tff(2,plain,
% 0.12/0.41 (((inverse(sk_c5) = sk_c6) | (multiply(sk_c7, sk_c3) = sk_c6)) <=> ((inverse(sk_c5) = sk_c6) | (multiply(sk_c7, sk_c3) = sk_c6))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(3,plain,
% 0.12/0.41 (((multiply(sk_c7, sk_c3) = sk_c6) | (inverse(sk_c5) = sk_c6)) <=> ((inverse(sk_c5) = sk_c6) | (multiply(sk_c7, sk_c3) = sk_c6))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(4,axiom,((multiply(sk_c7, sk_c3) = sk_c6) | (inverse(sk_c5) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_12')).
% 0.12/0.41 tff(5,plain,
% 0.12/0.41 ((inverse(sk_c5) = sk_c6) | (multiply(sk_c7, sk_c3) = sk_c6)),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.12/0.41 tff(6,plain,
% 0.12/0.41 ((inverse(sk_c5) = sk_c6) | (multiply(sk_c7, sk_c3) = sk_c6)),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[5, 2])).
% 0.12/0.41 tff(7,plain,
% 0.12/0.41 (multiply(sk_c7, sk_c3) = sk_c6),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[6, 1])).
% 0.12/0.41 tff(8,plain,
% 0.12/0.41 (((inverse(sk_c5) = sk_c6) | (multiply(sk_c2, sk_c7) = sk_c3)) <=> ((inverse(sk_c5) = sk_c6) | (multiply(sk_c2, sk_c7) = sk_c3))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(9,plain,
% 0.12/0.41 (((multiply(sk_c2, sk_c7) = sk_c3) | (inverse(sk_c5) = sk_c6)) <=> ((inverse(sk_c5) = sk_c6) | (multiply(sk_c2, sk_c7) = sk_c3))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(10,axiom,((multiply(sk_c2, sk_c7) = sk_c3) | (inverse(sk_c5) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_16')).
% 0.12/0.41 tff(11,plain,
% 0.12/0.41 ((inverse(sk_c5) = sk_c6) | (multiply(sk_c2, sk_c7) = sk_c3)),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.12/0.41 tff(12,plain,
% 0.12/0.41 ((inverse(sk_c5) = sk_c6) | (multiply(sk_c2, sk_c7) = sk_c3)),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[11, 8])).
% 0.12/0.41 tff(13,plain,
% 0.12/0.41 (multiply(sk_c2, sk_c7) = sk_c3),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[12, 1])).
% 0.12/0.41 tff(14,plain,
% 0.12/0.41 (sk_c3 = multiply(sk_c2, sk_c7)),
% 0.12/0.41 inference(symmetry,[status(thm)],[13])).
% 0.12/0.41 tff(15,plain,
% 0.12/0.41 (multiply(sk_c7, sk_c3) = multiply(sk_c7, multiply(sk_c2, sk_c7))),
% 0.12/0.41 inference(monotonicity,[status(thm)],[14])).
% 0.12/0.41 tff(16,plain,
% 0.12/0.41 (multiply(sk_c7, multiply(sk_c2, sk_c7)) = multiply(sk_c7, sk_c3)),
% 0.12/0.41 inference(symmetry,[status(thm)],[15])).
% 0.12/0.41 tff(17,plain,
% 0.12/0.41 (^[Z: $i, Y: $i, X: $i] : refl((multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z))) <=> (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z))))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(18,plain,
% 0.12/0.41 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z))) <=> ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[17])).
% 0.12/0.41 tff(19,plain,
% 0.12/0.41 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z))) <=> ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(20,axiom,(![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))), file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax','associativity')).
% 0.12/0.41 tff(21,plain,
% 0.12/0.41 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[20, 19])).
% 0.12/0.41 tff(22,plain,(
% 0.12/0.41 ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.12/0.41 inference(skolemize,[status(sab)],[21])).
% 0.12/0.41 tff(23,plain,
% 0.12/0.41 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[22, 18])).
% 0.12/0.41 tff(24,plain,
% 0.12/0.41 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c2), sk_c7) = multiply(sk_c7, multiply(sk_c2, sk_c7)))),
% 0.12/0.41 inference(quant_inst,[status(thm)],[])).
% 0.12/0.41 tff(25,plain,
% 0.12/0.41 (multiply(multiply(sk_c7, sk_c2), sk_c7) = multiply(sk_c7, multiply(sk_c2, sk_c7))),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[24, 23])).
% 0.12/0.41 tff(26,plain,
% 0.12/0.41 (^[X: $i] : refl((multiply(inverse(X), X) = identity) <=> (multiply(inverse(X), X) = identity))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(27,plain,
% 0.12/0.41 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.12/0.41 inference(quant_intro,[status(thm)],[26])).
% 0.12/0.41 tff(28,plain,
% 0.12/0.41 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(29,axiom,(![X: $i] : (multiply(inverse(X), X) = identity)), file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax','left_inverse')).
% 0.12/0.41 tff(30,plain,
% 0.12/0.41 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[29, 28])).
% 0.12/0.41 tff(31,plain,(
% 0.12/0.41 ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.12/0.41 inference(skolemize,[status(sab)],[30])).
% 0.12/0.41 tff(32,plain,
% 0.12/0.41 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[31, 27])).
% 0.12/0.41 tff(33,plain,
% 0.12/0.41 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c2), sk_c2) = identity)),
% 0.12/0.41 inference(quant_inst,[status(thm)],[])).
% 0.12/0.41 tff(34,plain,
% 0.12/0.41 (multiply(inverse(sk_c2), sk_c2) = identity),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[33, 32])).
% 0.12/0.41 tff(35,plain,
% 0.12/0.41 (((inverse(sk_c2) = sk_c7) | (inverse(sk_c5) = sk_c6)) <=> ((inverse(sk_c2) = sk_c7) | (inverse(sk_c5) = sk_c6))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(36,axiom,((inverse(sk_c2) = sk_c7) | (inverse(sk_c5) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_20')).
% 0.12/0.41 tff(37,plain,
% 0.12/0.41 ((inverse(sk_c2) = sk_c7) | (inverse(sk_c5) = sk_c6)),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[36, 35])).
% 0.12/0.41 tff(38,plain,
% 0.12/0.41 (inverse(sk_c2) = sk_c7),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[37, 1])).
% 0.12/0.41 tff(39,plain,
% 0.12/0.41 (sk_c7 = inverse(sk_c2)),
% 0.12/0.41 inference(symmetry,[status(thm)],[38])).
% 0.12/0.41 tff(40,plain,
% 0.12/0.41 (multiply(sk_c7, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 0.12/0.41 inference(monotonicity,[status(thm)],[39])).
% 0.12/0.41 tff(41,plain,
% 0.12/0.41 (multiply(sk_c7, sk_c2) = identity),
% 0.12/0.41 inference(transitivity,[status(thm)],[40, 34])).
% 0.12/0.41 tff(42,plain,
% 0.12/0.41 (multiply(multiply(sk_c7, sk_c2), sk_c7) = multiply(identity, sk_c7)),
% 0.12/0.41 inference(monotonicity,[status(thm)],[41])).
% 0.12/0.41 tff(43,plain,
% 0.12/0.41 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c2), sk_c7)),
% 0.12/0.41 inference(symmetry,[status(thm)],[42])).
% 0.12/0.41 tff(44,plain,
% 0.12/0.41 (^[X: $i] : refl((multiply(identity, X) = X) <=> (multiply(identity, X) = X))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(45,plain,
% 0.12/0.41 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 0.12/0.41 inference(quant_intro,[status(thm)],[44])).
% 0.12/0.41 tff(46,plain,
% 0.12/0.41 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(47,axiom,(![X: $i] : (multiply(identity, X) = X)), file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax','left_identity')).
% 0.12/0.41 tff(48,plain,
% 0.12/0.41 (![X: $i] : (multiply(identity, X) = X)),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[47, 46])).
% 0.12/0.41 tff(49,plain,(
% 0.12/0.41 ![X: $i] : (multiply(identity, X) = X)),
% 0.12/0.41 inference(skolemize,[status(sab)],[48])).
% 0.12/0.41 tff(50,plain,
% 0.12/0.41 (![X: $i] : (multiply(identity, X) = X)),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[49, 45])).
% 0.12/0.41 tff(51,plain,
% 0.12/0.41 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c7) = sk_c7)),
% 0.12/0.41 inference(quant_inst,[status(thm)],[])).
% 0.12/0.41 tff(52,plain,
% 0.12/0.41 (multiply(identity, sk_c7) = sk_c7),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[51, 50])).
% 0.12/0.41 tff(53,plain,
% 0.12/0.41 (sk_c7 = multiply(identity, sk_c7)),
% 0.12/0.41 inference(symmetry,[status(thm)],[52])).
% 0.12/0.41 tff(54,assumption,(~(inverse(sk_c4) = sk_c7)), introduced(assumption)).
% 0.12/0.41 tff(55,plain,
% 0.12/0.41 (((inverse(sk_c4) = sk_c7) | (multiply(sk_c7, sk_c3) = sk_c6)) <=> ((inverse(sk_c4) = sk_c7) | (multiply(sk_c7, sk_c3) = sk_c6))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(56,plain,
% 0.12/0.41 (((multiply(sk_c7, sk_c3) = sk_c6) | (inverse(sk_c4) = sk_c7)) <=> ((inverse(sk_c4) = sk_c7) | (multiply(sk_c7, sk_c3) = sk_c6))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(57,axiom,((multiply(sk_c7, sk_c3) = sk_c6) | (inverse(sk_c4) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_9')).
% 0.12/0.41 tff(58,plain,
% 0.12/0.41 ((inverse(sk_c4) = sk_c7) | (multiply(sk_c7, sk_c3) = sk_c6)),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[57, 56])).
% 0.12/0.41 tff(59,plain,
% 0.12/0.41 ((inverse(sk_c4) = sk_c7) | (multiply(sk_c7, sk_c3) = sk_c6)),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[58, 55])).
% 0.12/0.41 tff(60,plain,
% 0.12/0.41 (multiply(sk_c7, sk_c3) = sk_c6),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[59, 54])).
% 0.12/0.41 tff(61,plain,
% 0.12/0.41 (((inverse(sk_c4) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c3)) <=> ((inverse(sk_c4) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c3))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(62,plain,
% 0.12/0.41 (((multiply(sk_c2, sk_c7) = sk_c3) | (inverse(sk_c4) = sk_c7)) <=> ((inverse(sk_c4) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c3))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(63,axiom,((multiply(sk_c2, sk_c7) = sk_c3) | (inverse(sk_c4) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_13')).
% 0.12/0.41 tff(64,plain,
% 0.12/0.41 ((inverse(sk_c4) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c3)),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[63, 62])).
% 0.12/0.41 tff(65,plain,
% 0.12/0.41 ((inverse(sk_c4) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c3)),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[64, 61])).
% 0.12/0.41 tff(66,plain,
% 0.12/0.41 (multiply(sk_c2, sk_c7) = sk_c3),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[65, 54])).
% 0.12/0.41 tff(67,plain,
% 0.12/0.41 (sk_c3 = multiply(sk_c2, sk_c7)),
% 0.12/0.41 inference(symmetry,[status(thm)],[66])).
% 0.12/0.41 tff(68,plain,
% 0.12/0.41 (multiply(sk_c7, sk_c3) = multiply(sk_c7, multiply(sk_c2, sk_c7))),
% 0.12/0.41 inference(monotonicity,[status(thm)],[67])).
% 0.12/0.41 tff(69,plain,
% 0.12/0.41 (multiply(sk_c7, multiply(sk_c2, sk_c7)) = multiply(sk_c7, sk_c3)),
% 0.12/0.41 inference(symmetry,[status(thm)],[68])).
% 0.12/0.41 tff(70,plain,
% 0.12/0.41 (((inverse(sk_c2) = sk_c7) | (inverse(sk_c4) = sk_c7)) <=> ((inverse(sk_c2) = sk_c7) | (inverse(sk_c4) = sk_c7))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(71,axiom,((inverse(sk_c2) = sk_c7) | (inverse(sk_c4) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_17')).
% 0.12/0.41 tff(72,plain,
% 0.12/0.41 ((inverse(sk_c2) = sk_c7) | (inverse(sk_c4) = sk_c7)),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[71, 70])).
% 0.12/0.41 tff(73,plain,
% 0.12/0.41 (inverse(sk_c2) = sk_c7),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[72, 54])).
% 0.12/0.41 tff(74,plain,
% 0.12/0.41 (sk_c7 = inverse(sk_c2)),
% 0.12/0.41 inference(symmetry,[status(thm)],[73])).
% 0.12/0.41 tff(75,plain,
% 0.12/0.41 (multiply(sk_c7, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 0.12/0.41 inference(monotonicity,[status(thm)],[74])).
% 0.12/0.41 tff(76,plain,
% 0.12/0.41 (multiply(sk_c7, sk_c2) = identity),
% 0.12/0.41 inference(transitivity,[status(thm)],[75, 34])).
% 0.12/0.41 tff(77,plain,
% 0.12/0.41 (multiply(multiply(sk_c7, sk_c2), sk_c7) = multiply(identity, sk_c7)),
% 0.12/0.41 inference(monotonicity,[status(thm)],[76])).
% 0.12/0.41 tff(78,plain,
% 0.12/0.41 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c2), sk_c7)),
% 0.12/0.41 inference(symmetry,[status(thm)],[77])).
% 0.12/0.41 tff(79,plain,
% 0.12/0.41 (((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c7)) <=> ((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c7))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(80,axiom,((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_1')).
% 0.12/0.41 tff(81,plain,
% 0.12/0.41 ((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c7)),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[80, 79])).
% 0.12/0.41 tff(82,plain,
% 0.12/0.41 (inverse(sk_c1) = sk_c7),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[81, 54])).
% 0.12/0.41 tff(83,plain,
% 0.12/0.41 (inverse(sk_c1) = sk_c6),
% 0.12/0.41 inference(transitivity,[status(thm)],[82, 53, 78, 25, 69, 60])).
% 0.12/0.41 tff(84,plain,
% 0.12/0.41 (multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6),
% 0.12/0.41 inference(transitivity,[status(thm)],[69, 60])).
% 0.12/0.42 tff(85,plain,
% 0.12/0.42 (^[X3: $i, X2: $i, X5: $i, X1: $i] : refl(((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6))) <=> ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6))))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(86,plain,
% 0.12/0.42 (![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6))) <=> ![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[85])).
% 0.12/0.42 tff(87,plain,
% 0.12/0.42 (![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6))) <=> ![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(88,plain,
% 0.12/0.42 (^[X3: $i, X2: $i, X5: $i, X1: $i] : rewrite(((~(inverse(X3) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))) <=> ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6))))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(89,plain,
% 0.12/0.42 (![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X3) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))) <=> ![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[88])).
% 0.12/0.42 tff(90,plain,
% 0.12/0.42 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X3) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))) <=> ![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X3) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)))),
% 0.12/0.42 inference(elim_unused_vars,[status(thm)],[])).
% 0.12/0.42 tff(91,plain,
% 0.12/0.42 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X4)) | (~(multiply(sk_c7, X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))) <=> ![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X3) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)))),
% 0.12/0.42 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.12/0.42 tff(92,plain,
% 0.12/0.42 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X4)) | (~(multiply(sk_c7, X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))) <=> ![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X3) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)))),
% 0.12/0.42 inference(transitivity,[status(thm)],[91, 90])).
% 0.12/0.42 tff(93,plain,
% 0.12/0.42 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X4)) | (~(multiply(sk_c7, X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))) <=> ![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))),
% 0.12/0.42 inference(transitivity,[status(thm)],[92, 89])).
% 0.12/0.42 tff(94,plain,
% 0.12/0.42 (^[X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X4) = sk_c6))) <=> ((~(multiply(sk_c7, X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))), (((((~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X4) = sk_c6))) | (~(multiply(X5, sk_c7) = X4))) <=> (((~(multiply(sk_c7, X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))) | (~(multiply(X5, sk_c7) = X4))))), rewrite((((~(multiply(sk_c7, X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))) | (~(multiply(X5, sk_c7) = X4))) <=> ((~(multiply(X5, sk_c7) = X4)) | (~(multiply(sk_c7, X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))), (((((~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X4) = sk_c6))) | (~(multiply(X5, sk_c7) = X4))) <=> ((~(multiply(X5, sk_c7) = X4)) | (~(multiply(sk_c7, X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))))), ((((((~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X4) = sk_c6))) | (~(multiply(X5, sk_c7) = X4))) | (~(inverse(X5) = sk_c7))) <=> (((~(multiply(X5, sk_c7) = X4)) | (~(multiply(sk_c7, X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))) | (~(inverse(X5) = sk_c7))))), rewrite((((~(multiply(X5, sk_c7) = X4)) | (~(multiply(sk_c7, X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))) | (~(inverse(X5) = sk_c7))) <=> ((~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X4)) | (~(multiply(sk_c7, X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))), ((((((~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X4) = sk_c6))) | (~(multiply(X5, sk_c7) = X4))) | (~(inverse(X5) = sk_c7))) <=> ((~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X4)) | (~(multiply(sk_c7, X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))))), (((((((~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X4) = sk_c6))) | (~(multiply(X5, sk_c7) = X4))) | (~(inverse(X5) = sk_c7))) | (~(inverse(X1) = sk_c7))) <=> (((~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X4)) | (~(multiply(sk_c7, X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))) | (~(inverse(X1) = sk_c7))))), rewrite((((~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X4)) | (~(multiply(sk_c7, X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))) | (~(inverse(X1) = sk_c7))) <=> ((~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X4)) | (~(multiply(sk_c7, X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))), (((((((~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X4) = sk_c6))) | (~(multiply(X5, sk_c7) = X4))) | (~(inverse(X5) = sk_c7))) | (~(inverse(X1) = sk_c7))) <=> ((~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X4)) | (~(multiply(sk_c7, X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))))), ((((((((~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X4) = sk_c6))) | (~(multiply(X5, sk_c7) = X4))) | (~(inverse(X5) = sk_c7))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) <=> (((~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X4)) | (~(multiply(sk_c7, X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))))), rewrite((((~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X4)) | (~(multiply(sk_c7, X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) <=> ((~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X4)) | (~(multiply(sk_c7, X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))), ((((((((~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X4) = sk_c6))) | (~(multiply(X5, sk_c7) = X4))) | (~(inverse(X5) = sk_c7))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) <=> ((~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X4)) | (~(multiply(sk_c7, X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))))), (((((((((~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X4) = sk_c6))) | (~(multiply(X5, sk_c7) = X4))) | (~(inverse(X5) = sk_c7))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(multiply(X2, sk_c6) = sk_c7))) <=> (((~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X4)) | (~(multiply(sk_c7, X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))) | (~(multiply(X2, sk_c6) = sk_c7))))), rewrite((((~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X4)) | (~(multiply(sk_c7, X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))) | (~(multiply(X2, sk_c6) = sk_c7))) <=> ((~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X4)) | (~(multiply(sk_c7, X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))), (((((((((~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X4) = sk_c6))) | (~(multiply(X5, sk_c7) = X4))) | (~(inverse(X5) = sk_c7))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(multiply(X2, sk_c6) = sk_c7))) <=> ((~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X4)) | (~(multiply(sk_c7, X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))))), ((((((((((~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X4) = sk_c6))) | (~(multiply(X5, sk_c7) = X4))) | (~(inverse(X5) = sk_c7))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) <=> (((~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X4)) | (~(multiply(sk_c7, X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))) | (~(inverse(X2) = sk_c6))))), rewrite((((~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X4)) | (~(multiply(sk_c7, X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))) | (~(inverse(X2) = sk_c6))) <=> ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X4)) | (~(multiply(sk_c7, X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))), ((((((((((~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X4) = sk_c6))) | (~(multiply(X5, sk_c7) = X4))) | (~(inverse(X5) = sk_c7))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) <=> ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X4)) | (~(multiply(sk_c7, X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))))),
% 0.20/0.43 inference(bind,[status(th)],[])).
% 0.20/0.43 tff(95,plain,
% 0.20/0.43 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X4) = sk_c6))) | (~(multiply(X5, sk_c7) = X4))) | (~(inverse(X5) = sk_c7))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) <=> ![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X4)) | (~(multiply(sk_c7, X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))),
% 0.20/0.43 inference(quant_intro,[status(thm)],[94])).
% 0.20/0.43 tff(96,plain,
% 0.20/0.43 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X4) = sk_c6))) | (~(multiply(X5, sk_c7) = X4))) | (~(inverse(X5) = sk_c7))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) <=> ![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))),
% 0.20/0.43 inference(transitivity,[status(thm)],[95, 93])).
% 0.20/0.43 tff(97,axiom,(![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X4) = sk_c6))) | (~(multiply(X5, sk_c7) = X4))) | (~(inverse(X5) = sk_c7))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_21')).
% 0.20/0.43 tff(98,plain,
% 0.20/0.43 (![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[97, 96])).
% 0.20/0.43 tff(99,plain,
% 0.20/0.43 (![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[98, 87])).
% 0.20/0.43 tff(100,plain,(
% 0.20/0.43 ![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))),
% 0.20/0.43 inference(skolemize,[status(sab)],[99])).
% 0.20/0.43 tff(101,plain,
% 0.20/0.43 (![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[100, 86])).
% 0.20/0.43 tff(102,plain,
% 0.20/0.43 (((inverse(sk_c4) = sk_c7) | (multiply(sk_c1, sk_c6) = sk_c7)) <=> ((inverse(sk_c4) = sk_c7) | (multiply(sk_c1, sk_c6) = sk_c7))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(103,plain,
% 0.20/0.43 (((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c4) = sk_c7)) <=> ((inverse(sk_c4) = sk_c7) | (multiply(sk_c1, sk_c6) = sk_c7))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(104,axiom,((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c4) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_5')).
% 0.20/0.43 tff(105,plain,
% 0.20/0.43 ((inverse(sk_c4) = sk_c7) | (multiply(sk_c1, sk_c6) = sk_c7)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[104, 103])).
% 0.20/0.43 tff(106,plain,
% 0.20/0.43 ((inverse(sk_c4) = sk_c7) | (multiply(sk_c1, sk_c6) = sk_c7)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[105, 102])).
% 0.20/0.43 tff(107,plain,
% 0.20/0.43 (multiply(sk_c1, sk_c6) = sk_c7),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[106, 54])).
% 0.20/0.43 tff(108,plain,
% 0.20/0.43 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6)))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(109,plain,
% 0.20/0.43 (((~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6))) <=> ((~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6)))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(110,plain,
% 0.20/0.43 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6))))),
% 0.20/0.43 inference(monotonicity,[status(thm)],[109])).
% 0.20/0.43 tff(111,plain,
% 0.20/0.43 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6)))),
% 0.20/0.43 inference(transitivity,[status(thm)],[110, 108])).
% 0.20/0.43 tff(112,plain,
% 0.20/0.43 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6)))),
% 0.20/0.43 inference(quant_inst,[status(thm)],[])).
% 0.20/0.43 tff(113,plain,
% 0.20/0.43 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[112, 111])).
% 0.20/0.43 tff(114,plain,
% 0.20/0.43 ((~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6))),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[113, 82, 107, 73, 101])).
% 0.20/0.43 tff(115,plain,
% 0.20/0.43 (~(inverse(sk_c1) = sk_c6)),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[114, 84])).
% 0.20/0.43 tff(116,plain,
% 0.20/0.43 ($false),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[115, 83])).
% 0.20/0.43 tff(117,plain,(inverse(sk_c4) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 0.20/0.43 tff(118,plain,
% 0.20/0.43 (inverse(sk_c4) = sk_c6),
% 0.20/0.43 inference(transitivity,[status(thm)],[117, 53, 43, 25, 16, 7])).
% 0.20/0.43 tff(119,plain,
% 0.20/0.43 (sk_c7 = inverse(sk_c4)),
% 0.20/0.43 inference(symmetry,[status(thm)],[117])).
% 0.20/0.43 tff(120,assumption,(~(inverse(sk_c1) = sk_c7)), introduced(assumption)).
% 0.20/0.43 tff(121,plain,
% 0.20/0.43 (((inverse(sk_c1) = sk_c7) | (inverse(sk_c5) = sk_c6)) <=> ((inverse(sk_c1) = sk_c7) | (inverse(sk_c5) = sk_c6))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(122,axiom,((inverse(sk_c1) = sk_c7) | (inverse(sk_c5) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_4')).
% 0.20/0.44 tff(123,plain,
% 0.20/0.44 ((inverse(sk_c1) = sk_c7) | (inverse(sk_c5) = sk_c6)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[122, 121])).
% 0.20/0.44 tff(124,plain,
% 0.20/0.44 (inverse(sk_c5) = sk_c6),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[123, 120])).
% 0.20/0.44 tff(125,plain,
% 0.20/0.44 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c4) = sk_c4)),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(126,plain,
% 0.20/0.44 (multiply(identity, sk_c4) = sk_c4),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[125, 50])).
% 0.20/0.44 tff(127,plain,
% 0.20/0.44 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c6), sk_c4) = multiply(sk_c4, multiply(sk_c6, sk_c4)))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(128,plain,
% 0.20/0.44 (multiply(multiply(sk_c4, sk_c6), sk_c4) = multiply(sk_c4, multiply(sk_c6, sk_c4))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[127, 23])).
% 0.20/0.44 tff(129,plain,
% 0.20/0.44 (((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c6) = sk_c7)) <=> ((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c6) = sk_c7))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(130,axiom,((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_2')).
% 0.20/0.44 tff(131,plain,
% 0.20/0.44 ((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c6) = sk_c7)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[130, 129])).
% 0.20/0.44 tff(132,plain,
% 0.20/0.44 (multiply(sk_c4, sk_c6) = sk_c7),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[131, 120])).
% 0.20/0.44 tff(133,plain,
% 0.20/0.44 (multiply(sk_c4, sk_c6) = inverse(sk_c4)),
% 0.20/0.44 inference(transitivity,[status(thm)],[132, 119])).
% 0.20/0.44 tff(134,plain,
% 0.20/0.44 (multiply(multiply(sk_c4, sk_c6), sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[133])).
% 0.20/0.44 tff(135,plain,
% 0.20/0.44 (multiply(inverse(sk_c4), sk_c4) = multiply(multiply(sk_c4, sk_c6), sk_c4)),
% 0.20/0.44 inference(symmetry,[status(thm)],[134])).
% 0.20/0.44 tff(136,plain,
% 0.20/0.44 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c4), sk_c4) = identity)),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(137,plain,
% 0.20/0.44 (multiply(inverse(sk_c4), sk_c4) = identity),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[136, 32])).
% 0.20/0.44 tff(138,plain,
% 0.20/0.44 (identity = multiply(inverse(sk_c4), sk_c4)),
% 0.20/0.44 inference(symmetry,[status(thm)],[137])).
% 0.20/0.44 tff(139,plain,
% 0.20/0.44 (identity = multiply(sk_c4, multiply(sk_c6, sk_c4))),
% 0.20/0.44 inference(transitivity,[status(thm)],[138, 135, 128])).
% 0.20/0.44 tff(140,plain,
% 0.20/0.44 (multiply(identity, sk_c4) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c4)), sk_c4)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[139])).
% 0.20/0.44 tff(141,plain,
% 0.20/0.44 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c4)), sk_c4) = multiply(identity, sk_c4)),
% 0.20/0.44 inference(symmetry,[status(thm)],[140])).
% 0.20/0.44 tff(142,plain,
% 0.20/0.44 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, multiply(sk_c6, sk_c4)), sk_c4) = multiply(sk_c4, multiply(multiply(sk_c6, sk_c4), sk_c4)))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(143,plain,
% 0.20/0.44 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c4)), sk_c4) = multiply(sk_c4, multiply(multiply(sk_c6, sk_c4), sk_c4))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[142, 23])).
% 0.20/0.44 tff(144,plain,
% 0.20/0.44 (multiply(sk_c4, multiply(multiply(sk_c6, sk_c4), sk_c4)) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c4)), sk_c4)),
% 0.20/0.44 inference(symmetry,[status(thm)],[143])).
% 0.20/0.44 tff(145,plain,
% 0.20/0.44 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c4), sk_c4) = multiply(sk_c6, multiply(sk_c4, sk_c4)))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(146,plain,
% 0.20/0.44 (multiply(multiply(sk_c6, sk_c4), sk_c4) = multiply(sk_c6, multiply(sk_c4, sk_c4))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[145, 23])).
% 0.20/0.44 tff(147,plain,
% 0.20/0.44 (multiply(sk_c4, multiply(multiply(sk_c6, sk_c4), sk_c4)) = multiply(sk_c4, multiply(sk_c6, multiply(sk_c4, sk_c4)))),
% 0.20/0.44 inference(monotonicity,[status(thm)],[146])).
% 0.20/0.44 tff(148,plain,
% 0.20/0.44 (multiply(sk_c4, multiply(sk_c6, multiply(sk_c4, sk_c4))) = multiply(sk_c4, multiply(multiply(sk_c6, sk_c4), sk_c4))),
% 0.20/0.44 inference(symmetry,[status(thm)],[147])).
% 0.20/0.44 tff(149,plain,
% 0.20/0.44 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c6), multiply(sk_c4, sk_c4)) = multiply(sk_c4, multiply(sk_c6, multiply(sk_c4, sk_c4))))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(150,plain,
% 0.20/0.44 (multiply(multiply(sk_c4, sk_c6), multiply(sk_c4, sk_c4)) = multiply(sk_c4, multiply(sk_c6, multiply(sk_c4, sk_c4)))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[149, 23])).
% 0.20/0.44 tff(151,plain,
% 0.20/0.44 (multiply(multiply(sk_c4, sk_c6), multiply(sk_c4, sk_c4)) = multiply(sk_c7, multiply(sk_c4, sk_c4))),
% 0.20/0.44 inference(monotonicity,[status(thm)],[132])).
% 0.20/0.44 tff(152,plain,
% 0.20/0.44 (multiply(sk_c7, multiply(sk_c4, sk_c4)) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c4, sk_c4))),
% 0.20/0.44 inference(symmetry,[status(thm)],[151])).
% 0.20/0.44 tff(153,plain,
% 0.20/0.44 (((inverse(sk_c1) = sk_c7) | (multiply(sk_c5, sk_c6) = sk_c7)) <=> ((inverse(sk_c1) = sk_c7) | (multiply(sk_c5, sk_c6) = sk_c7))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(154,axiom,((inverse(sk_c1) = sk_c7) | (multiply(sk_c5, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_3')).
% 0.20/0.44 tff(155,plain,
% 0.20/0.44 ((inverse(sk_c1) = sk_c7) | (multiply(sk_c5, sk_c6) = sk_c7)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[154, 153])).
% 0.20/0.44 tff(156,plain,
% 0.20/0.44 (multiply(sk_c5, sk_c6) = sk_c7),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[155, 120])).
% 0.20/0.44 tff(157,plain,
% 0.20/0.44 (multiply(sk_c4, multiply(sk_c5, sk_c6)) = multiply(sk_c4, sk_c7)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[156])).
% 0.20/0.44 tff(158,plain,
% 0.20/0.44 (multiply(sk_c7, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[119])).
% 0.20/0.44 tff(159,plain,
% 0.20/0.44 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c7, sk_c4)),
% 0.20/0.44 inference(symmetry,[status(thm)],[158])).
% 0.20/0.44 tff(160,plain,
% 0.20/0.44 (identity = multiply(sk_c7, sk_c4)),
% 0.20/0.44 inference(transitivity,[status(thm)],[138, 159])).
% 0.20/0.44 tff(161,plain,
% 0.20/0.44 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c4), sk_c7)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[160])).
% 0.20/0.44 tff(162,plain,
% 0.20/0.44 (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(identity, sk_c7)),
% 0.20/0.44 inference(symmetry,[status(thm)],[161])).
% 0.20/0.44 tff(163,plain,
% 0.20/0.44 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(sk_c7, multiply(sk_c4, sk_c7)))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(164,plain,
% 0.20/0.44 (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(sk_c7, multiply(sk_c4, sk_c7))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[163, 23])).
% 0.20/0.44 tff(165,plain,
% 0.20/0.44 (multiply(sk_c7, multiply(sk_c4, sk_c7)) = multiply(multiply(sk_c7, sk_c4), sk_c7)),
% 0.20/0.44 inference(symmetry,[status(thm)],[164])).
% 0.20/0.44 tff(166,plain,
% 0.20/0.44 (multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c7),
% 0.20/0.44 inference(transitivity,[status(thm)],[165, 162, 52])).
% 0.20/0.44 tff(167,plain,
% 0.20/0.44 (multiply(multiply(sk_c7, multiply(sk_c4, sk_c7)), multiply(sk_c4, multiply(sk_c5, sk_c6))) = multiply(sk_c7, multiply(sk_c4, sk_c7))),
% 0.20/0.44 inference(monotonicity,[status(thm)],[166, 157])).
% 0.20/0.44 tff(168,plain,
% 0.20/0.44 (multiply(sk_c7, multiply(sk_c4, sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c4, sk_c7)), multiply(sk_c4, multiply(sk_c5, sk_c6)))),
% 0.20/0.44 inference(symmetry,[status(thm)],[167])).
% 0.20/0.44 tff(169,plain,
% 0.20/0.44 (sk_c7 = multiply(multiply(sk_c7, multiply(sk_c4, sk_c7)), multiply(sk_c4, multiply(sk_c5, sk_c6)))),
% 0.20/0.44 inference(transitivity,[status(thm)],[53, 161, 164, 168])).
% 0.20/0.44 tff(170,plain,
% 0.20/0.44 (multiply(sk_c7, multiply(sk_c4, sk_c4)) = multiply(multiply(multiply(sk_c7, multiply(sk_c4, sk_c7)), multiply(sk_c4, multiply(sk_c5, sk_c6))), multiply(sk_c4, sk_c4))),
% 0.20/0.44 inference(monotonicity,[status(thm)],[169])).
% 0.20/0.44 tff(171,plain,
% 0.20/0.44 (multiply(multiply(multiply(sk_c7, multiply(sk_c4, sk_c7)), multiply(sk_c4, multiply(sk_c5, sk_c6))), multiply(sk_c4, sk_c4)) = multiply(sk_c7, multiply(sk_c4, sk_c4))),
% 0.20/0.44 inference(symmetry,[status(thm)],[170])).
% 0.20/0.44 tff(172,plain,
% 0.20/0.44 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, multiply(sk_c4, sk_c7)), multiply(sk_c4, multiply(sk_c5, sk_c6))), multiply(sk_c4, sk_c4)) = multiply(multiply(sk_c7, multiply(sk_c4, sk_c7)), multiply(multiply(sk_c4, multiply(sk_c5, sk_c6)), multiply(sk_c4, sk_c4))))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(173,plain,
% 0.20/0.44 (multiply(multiply(multiply(sk_c7, multiply(sk_c4, sk_c7)), multiply(sk_c4, multiply(sk_c5, sk_c6))), multiply(sk_c4, sk_c4)) = multiply(multiply(sk_c7, multiply(sk_c4, sk_c7)), multiply(multiply(sk_c4, multiply(sk_c5, sk_c6)), multiply(sk_c4, sk_c4)))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[172, 23])).
% 0.20/0.44 tff(174,plain,
% 0.20/0.44 (multiply(multiply(sk_c7, multiply(sk_c4, sk_c7)), multiply(multiply(sk_c4, multiply(sk_c5, sk_c6)), multiply(sk_c4, sk_c4))) = multiply(multiply(multiply(sk_c7, multiply(sk_c4, sk_c7)), multiply(sk_c4, multiply(sk_c5, sk_c6))), multiply(sk_c4, sk_c4))),
% 0.20/0.44 inference(symmetry,[status(thm)],[173])).
% 0.20/0.44 tff(175,plain,
% 0.20/0.44 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c5), sk_c7) = multiply(sk_c6, multiply(sk_c5, sk_c7)))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(176,plain,
% 0.20/0.44 (multiply(multiply(sk_c6, sk_c5), sk_c7) = multiply(sk_c6, multiply(sk_c5, sk_c7))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[175, 23])).
% 0.20/0.44 tff(177,plain,
% 0.20/0.44 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c5), sk_c5) = identity)),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(178,plain,
% 0.20/0.44 (multiply(inverse(sk_c5), sk_c5) = identity),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[177, 32])).
% 0.20/0.44 tff(179,plain,
% 0.20/0.44 (sk_c6 = inverse(sk_c5)),
% 0.20/0.44 inference(symmetry,[status(thm)],[124])).
% 0.20/0.44 tff(180,plain,
% 0.20/0.44 (multiply(sk_c6, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[179])).
% 0.20/0.44 tff(181,plain,
% 0.20/0.44 (multiply(sk_c6, sk_c5) = multiply(sk_c7, sk_c4)),
% 0.20/0.44 inference(transitivity,[status(thm)],[180, 178, 138, 159])).
% 0.20/0.44 tff(182,plain,
% 0.20/0.44 (multiply(multiply(sk_c6, sk_c5), sk_c7) = multiply(multiply(sk_c7, sk_c4), sk_c7)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[181])).
% 0.20/0.44 tff(183,plain,
% 0.20/0.44 (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(multiply(sk_c6, sk_c5), sk_c7)),
% 0.20/0.44 inference(symmetry,[status(thm)],[182])).
% 0.20/0.44 tff(184,plain,
% 0.20/0.44 (sk_c7 = multiply(sk_c6, multiply(sk_c5, sk_c7))),
% 0.20/0.44 inference(transitivity,[status(thm)],[53, 161, 183, 176])).
% 0.20/0.44 tff(185,plain,
% 0.20/0.44 (multiply(sk_c4, sk_c7) = multiply(sk_c4, multiply(sk_c6, multiply(sk_c5, sk_c7)))),
% 0.20/0.44 inference(monotonicity,[status(thm)],[184])).
% 0.20/0.44 tff(186,plain,
% 0.20/0.44 (multiply(sk_c4, multiply(sk_c6, multiply(sk_c5, sk_c7))) = multiply(sk_c4, sk_c7)),
% 0.20/0.44 inference(symmetry,[status(thm)],[185])).
% 0.20/0.44 tff(187,plain,
% 0.20/0.44 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c6), multiply(sk_c5, sk_c7)) = multiply(sk_c4, multiply(sk_c6, multiply(sk_c5, sk_c7))))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(188,plain,
% 0.20/0.44 (multiply(multiply(sk_c4, sk_c6), multiply(sk_c5, sk_c7)) = multiply(sk_c4, multiply(sk_c6, multiply(sk_c5, sk_c7)))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[187, 23])).
% 0.20/0.44 tff(189,plain,
% 0.20/0.44 (multiply(multiply(sk_c4, sk_c6), multiply(sk_c5, sk_c7)) = multiply(sk_c7, multiply(sk_c5, sk_c7))),
% 0.20/0.44 inference(monotonicity,[status(thm)],[132])).
% 0.20/0.44 tff(190,plain,
% 0.20/0.44 (multiply(sk_c7, multiply(sk_c5, sk_c7)) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c5, sk_c7))),
% 0.20/0.44 inference(symmetry,[status(thm)],[189])).
% 0.20/0.44 tff(191,plain,
% 0.20/0.44 (multiply(multiply(sk_c5, sk_c6), multiply(sk_c5, sk_c7)) = multiply(sk_c7, multiply(sk_c5, sk_c7))),
% 0.20/0.44 inference(monotonicity,[status(thm)],[156])).
% 0.20/0.44 tff(192,plain,
% 0.20/0.44 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c6), multiply(sk_c5, sk_c7)) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c5, sk_c7))))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(193,plain,
% 0.20/0.45 (multiply(multiply(sk_c5, sk_c6), multiply(sk_c5, sk_c7)) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c5, sk_c7)))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[192, 23])).
% 0.20/0.45 tff(194,plain,
% 0.20/0.45 (multiply(sk_c5, multiply(sk_c6, multiply(sk_c5, sk_c7))) = multiply(multiply(sk_c5, sk_c6), multiply(sk_c5, sk_c7))),
% 0.20/0.45 inference(symmetry,[status(thm)],[193])).
% 0.20/0.45 tff(195,plain,
% 0.20/0.45 (multiply(sk_c5, sk_c7) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c5, sk_c7)))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[184])).
% 0.20/0.45 tff(196,plain,
% 0.20/0.45 (multiply(sk_c5, sk_c7) = multiply(sk_c4, sk_c7)),
% 0.20/0.45 inference(transitivity,[status(thm)],[195, 194, 191, 190, 188, 186])).
% 0.20/0.45 tff(197,plain,
% 0.20/0.45 (multiply(sk_c7, multiply(sk_c5, sk_c7)) = multiply(sk_c7, multiply(sk_c4, sk_c7))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[196])).
% 0.20/0.45 tff(198,plain,
% 0.20/0.45 (multiply(sk_c5, sk_c7) = sk_c7),
% 0.20/0.45 inference(transitivity,[status(thm)],[195, 194, 191, 197, 165, 162, 52])).
% 0.20/0.45 tff(199,plain,
% 0.20/0.45 (multiply(multiply(sk_c5, sk_c7), multiply(sk_c4, sk_c4)) = multiply(sk_c7, multiply(sk_c4, sk_c4))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[198])).
% 0.20/0.45 tff(200,plain,
% 0.20/0.45 (multiply(sk_c5, multiply(sk_c6, multiply(sk_c5, sk_c7))) = multiply(sk_c5, sk_c7)),
% 0.20/0.45 inference(symmetry,[status(thm)],[195])).
% 0.20/0.45 tff(201,plain,
% 0.20/0.45 (multiply(sk_c7, multiply(sk_c5, sk_c7)) = multiply(multiply(sk_c5, sk_c6), multiply(sk_c5, sk_c7))),
% 0.20/0.45 inference(symmetry,[status(thm)],[191])).
% 0.20/0.45 tff(202,plain,
% 0.20/0.45 (multiply(sk_c4, multiply(sk_c6, multiply(sk_c5, sk_c7))) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c5, sk_c7))),
% 0.20/0.45 inference(symmetry,[status(thm)],[188])).
% 0.20/0.45 tff(203,plain,
% 0.20/0.45 (multiply(sk_c4, multiply(sk_c5, sk_c6)) = multiply(sk_c5, sk_c7)),
% 0.20/0.45 inference(transitivity,[status(thm)],[157, 185, 202, 189, 201, 193, 200])).
% 0.20/0.45 tff(204,plain,
% 0.20/0.45 (multiply(multiply(sk_c4, multiply(sk_c5, sk_c6)), multiply(sk_c4, sk_c4)) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c4, sk_c4))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[203])).
% 0.20/0.45 tff(205,plain,
% 0.20/0.45 (multiply(multiply(sk_c4, multiply(sk_c5, sk_c6)), multiply(sk_c4, sk_c4)) = sk_c4),
% 0.20/0.45 inference(transitivity,[status(thm)],[204, 199, 152, 150, 148, 144, 141, 126])).
% 0.20/0.45 tff(206,plain,
% 0.20/0.45 (multiply(sk_c7, multiply(sk_c4, sk_c7)) = inverse(sk_c4)),
% 0.20/0.45 inference(transitivity,[status(thm)],[165, 162, 52, 119])).
% 0.20/0.45 tff(207,plain,
% 0.20/0.45 (multiply(multiply(sk_c7, multiply(sk_c4, sk_c7)), multiply(multiply(sk_c4, multiply(sk_c5, sk_c6)), multiply(sk_c4, sk_c4))) = multiply(inverse(sk_c4), sk_c4)),
% 0.20/0.45 inference(monotonicity,[status(thm)],[206, 205])).
% 0.20/0.45 tff(208,plain,
% 0.20/0.45 (multiply(inverse(sk_c4), sk_c4) = multiply(multiply(sk_c7, multiply(sk_c4, sk_c7)), multiply(multiply(sk_c4, multiply(sk_c5, sk_c6)), multiply(sk_c4, sk_c4)))),
% 0.20/0.45 inference(symmetry,[status(thm)],[207])).
% 0.20/0.45 tff(209,plain,
% 0.20/0.45 (multiply(multiply(sk_c5, sk_c7), multiply(sk_c4, sk_c5)) = multiply(sk_c7, multiply(sk_c4, sk_c5))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[198])).
% 0.20/0.45 tff(210,plain,
% 0.20/0.45 (multiply(sk_c7, multiply(sk_c4, sk_c5)) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c4, sk_c5))),
% 0.20/0.45 inference(symmetry,[status(thm)],[209])).
% 0.20/0.45 tff(211,plain,
% 0.20/0.45 (multiply(multiply(sk_c4, sk_c6), multiply(sk_c4, sk_c5)) = multiply(sk_c7, multiply(sk_c4, sk_c5))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[132])).
% 0.20/0.45 tff(212,plain,
% 0.20/0.45 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c6), multiply(sk_c4, sk_c5)) = multiply(sk_c4, multiply(sk_c6, multiply(sk_c4, sk_c5))))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(213,plain,
% 0.20/0.45 (multiply(multiply(sk_c4, sk_c6), multiply(sk_c4, sk_c5)) = multiply(sk_c4, multiply(sk_c6, multiply(sk_c4, sk_c5)))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[212, 23])).
% 0.20/0.45 tff(214,plain,
% 0.20/0.45 (multiply(sk_c4, multiply(sk_c6, multiply(sk_c4, sk_c5))) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c4, sk_c5))),
% 0.20/0.45 inference(symmetry,[status(thm)],[213])).
% 0.20/0.45 tff(215,plain,
% 0.20/0.45 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c4), sk_c5) = multiply(sk_c6, multiply(sk_c4, sk_c5)))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(216,plain,
% 0.20/0.45 (multiply(multiply(sk_c6, sk_c4), sk_c5) = multiply(sk_c6, multiply(sk_c4, sk_c5))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[215, 23])).
% 0.20/0.45 tff(217,plain,
% 0.20/0.45 (multiply(sk_c4, multiply(multiply(sk_c6, sk_c4), sk_c5)) = multiply(sk_c4, multiply(sk_c6, multiply(sk_c4, sk_c5)))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[216])).
% 0.20/0.45 tff(218,plain,
% 0.20/0.45 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, multiply(sk_c6, sk_c4)), sk_c5) = multiply(sk_c4, multiply(multiply(sk_c6, sk_c4), sk_c5)))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(219,plain,
% 0.20/0.45 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c4)), sk_c5) = multiply(sk_c4, multiply(multiply(sk_c6, sk_c4), sk_c5))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[218, 23])).
% 0.20/0.45 tff(220,plain,
% 0.20/0.45 (multiply(identity, sk_c5) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c4)), sk_c5)),
% 0.20/0.45 inference(monotonicity,[status(thm)],[139])).
% 0.20/0.45 tff(221,plain,
% 0.20/0.45 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c5) = sk_c5)),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(222,plain,
% 0.20/0.45 (multiply(identity, sk_c5) = sk_c5),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[221, 50])).
% 0.20/0.45 tff(223,plain,
% 0.20/0.45 (sk_c5 = multiply(identity, sk_c5)),
% 0.20/0.45 inference(symmetry,[status(thm)],[222])).
% 0.20/0.45 tff(224,plain,
% 0.20/0.45 (sk_c5 = multiply(multiply(sk_c5, sk_c7), multiply(sk_c4, sk_c5))),
% 0.20/0.45 inference(transitivity,[status(thm)],[223, 220, 219, 217, 214, 211, 210])).
% 0.20/0.45 tff(225,plain,
% 0.20/0.45 (multiply(inverse(sk_c5), sk_c5) = multiply(sk_c6, multiply(multiply(sk_c5, sk_c7), multiply(sk_c4, sk_c5)))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[124, 224])).
% 0.20/0.45 tff(226,plain,
% 0.20/0.45 (multiply(sk_c6, multiply(multiply(sk_c5, sk_c7), multiply(sk_c4, sk_c5))) = multiply(inverse(sk_c5), sk_c5)),
% 0.20/0.45 inference(symmetry,[status(thm)],[225])).
% 0.20/0.45 tff(227,plain,
% 0.20/0.45 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c5, sk_c7)), multiply(sk_c4, sk_c5)) = multiply(sk_c6, multiply(multiply(sk_c5, sk_c7), multiply(sk_c4, sk_c5))))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(228,plain,
% 0.20/0.45 (multiply(multiply(sk_c6, multiply(sk_c5, sk_c7)), multiply(sk_c4, sk_c5)) = multiply(sk_c6, multiply(multiply(sk_c5, sk_c7), multiply(sk_c4, sk_c5)))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[227, 23])).
% 0.20/0.45 tff(229,plain,
% 0.20/0.45 (multiply(sk_c6, multiply(sk_c5, sk_c7)) = multiply(multiply(sk_c6, sk_c5), sk_c7)),
% 0.20/0.45 inference(symmetry,[status(thm)],[176])).
% 0.20/0.45 tff(230,plain,
% 0.20/0.45 (multiply(sk_c6, multiply(sk_c5, sk_c7)) = sk_c7),
% 0.20/0.45 inference(transitivity,[status(thm)],[229, 182, 162, 52])).
% 0.20/0.45 tff(231,plain,
% 0.20/0.45 (multiply(multiply(sk_c6, multiply(sk_c5, sk_c7)), multiply(sk_c4, sk_c5)) = multiply(sk_c7, multiply(sk_c4, sk_c5))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[230])).
% 0.20/0.45 tff(232,plain,
% 0.20/0.45 (multiply(sk_c7, multiply(sk_c4, sk_c5)) = multiply(multiply(sk_c6, multiply(sk_c5, sk_c7)), multiply(sk_c4, sk_c5))),
% 0.20/0.45 inference(symmetry,[status(thm)],[231])).
% 0.20/0.45 tff(233,plain,
% 0.20/0.45 (sk_c5 = sk_c4),
% 0.20/0.45 inference(transitivity,[status(thm)],[223, 220, 219, 217, 214, 211, 232, 228, 226, 178, 138, 208, 174, 171, 152, 150, 148, 144, 141, 126])).
% 0.20/0.45 tff(234,plain,
% 0.20/0.45 (inverse(sk_c5) = inverse(sk_c4)),
% 0.20/0.45 inference(monotonicity,[status(thm)],[233])).
% 0.20/0.45 tff(235,plain,
% 0.20/0.45 (inverse(sk_c4) = inverse(sk_c5)),
% 0.20/0.45 inference(symmetry,[status(thm)],[234])).
% 0.20/0.45 tff(236,plain,
% 0.20/0.45 (multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c6),
% 0.20/0.45 inference(transitivity,[status(thm)],[165, 162, 52, 119, 235, 124])).
% 0.20/0.45 tff(237,plain,
% 0.20/0.45 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))) | ((~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(238,plain,
% 0.20/0.45 (((~(inverse(sk_c5) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c6))) <=> ((~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(239,plain,
% 0.20/0.45 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c5) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c6)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))) | ((~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c6)) | (~(inverse(sk_c4) = sk_c7))))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[238])).
% 0.20/0.45 tff(240,plain,
% 0.20/0.45 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c5) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c6)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)))),
% 0.20/0.45 inference(transitivity,[status(thm)],[239, 237])).
% 0.20/0.45 tff(241,plain,
% 0.20/0.45 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c5) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c6)))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(242,plain,
% 0.20/0.46 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c6)) | (~(inverse(sk_c4) = sk_c7))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[241, 240])).
% 0.20/0.46 tff(243,plain,
% 0.20/0.46 (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c6)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[242, 117, 132, 156, 124, 101])).
% 0.20/0.46 tff(244,plain,
% 0.20/0.46 ($false),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[243, 236])).
% 0.20/0.46 tff(245,plain,(inverse(sk_c1) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 0.20/0.46 tff(246,plain,
% 0.20/0.46 (inverse(sk_c1) = inverse(sk_c4)),
% 0.20/0.46 inference(transitivity,[status(thm)],[245, 119])).
% 0.20/0.46 tff(247,plain,
% 0.20/0.46 ((inverse(sk_c1) = sk_c6) <=> (inverse(sk_c4) = sk_c6)),
% 0.20/0.46 inference(monotonicity,[status(thm)],[246])).
% 0.20/0.46 tff(248,plain,
% 0.20/0.46 ((~(inverse(sk_c1) = sk_c6)) <=> (~(inverse(sk_c4) = sk_c6))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[247])).
% 0.20/0.46 tff(249,plain,
% 0.20/0.46 (multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6),
% 0.20/0.46 inference(transitivity,[status(thm)],[16, 7])).
% 0.20/0.46 tff(250,plain,
% 0.20/0.46 (((inverse(sk_c5) = sk_c6) | (multiply(sk_c1, sk_c6) = sk_c7)) <=> ((inverse(sk_c5) = sk_c6) | (multiply(sk_c1, sk_c6) = sk_c7))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(251,plain,
% 0.20/0.46 (((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c5) = sk_c6)) <=> ((inverse(sk_c5) = sk_c6) | (multiply(sk_c1, sk_c6) = sk_c7))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(252,axiom,((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c5) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_8')).
% 0.20/0.46 tff(253,plain,
% 0.20/0.46 ((inverse(sk_c5) = sk_c6) | (multiply(sk_c1, sk_c6) = sk_c7)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[252, 251])).
% 0.20/0.46 tff(254,plain,
% 0.20/0.46 ((inverse(sk_c5) = sk_c6) | (multiply(sk_c1, sk_c6) = sk_c7)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[253, 250])).
% 0.20/0.46 tff(255,plain,
% 0.20/0.46 (multiply(sk_c1, sk_c6) = sk_c7),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[254, 1])).
% 0.20/0.46 tff(256,plain,
% 0.20/0.46 ((~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[113, 245, 255, 38, 101])).
% 0.20/0.46 tff(257,plain,
% 0.20/0.46 (~(inverse(sk_c1) = sk_c6)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[256, 249])).
% 0.20/0.46 tff(258,plain,
% 0.20/0.46 (~(inverse(sk_c4) = sk_c6)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[257, 248])).
% 0.20/0.46 tff(259,plain,
% 0.20/0.46 ($false),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[258, 118])).
% 0.20/0.46 tff(260,plain,(inverse(sk_c5) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 0.20/0.46 tff(261,plain,
% 0.20/0.46 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c1) = sk_c1)),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(262,plain,
% 0.20/0.46 (multiply(identity, sk_c1) = sk_c1),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[261, 50])).
% 0.20/0.46 tff(263,plain,
% 0.20/0.46 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c6), sk_c1) = multiply(sk_c5, multiply(sk_c6, sk_c1)))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(264,plain,
% 0.20/0.46 (multiply(multiply(sk_c5, sk_c6), sk_c1) = multiply(sk_c5, multiply(sk_c6, sk_c1))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[263, 23])).
% 0.20/0.46 tff(265,plain,
% 0.20/0.46 (sk_c7 = inverse(sk_c1)),
% 0.20/0.46 inference(symmetry,[status(thm)],[245])).
% 0.20/0.46 tff(266,assumption,(~(multiply(sk_c5, sk_c6) = sk_c7)), introduced(assumption)).
% 0.20/0.46 tff(267,plain,
% 0.20/0.46 (((multiply(sk_c5, sk_c6) = sk_c7) | (multiply(sk_c7, sk_c3) = sk_c6)) <=> ((multiply(sk_c5, sk_c6) = sk_c7) | (multiply(sk_c7, sk_c3) = sk_c6))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(268,plain,
% 0.20/0.46 (((multiply(sk_c7, sk_c3) = sk_c6) | (multiply(sk_c5, sk_c6) = sk_c7)) <=> ((multiply(sk_c5, sk_c6) = sk_c7) | (multiply(sk_c7, sk_c3) = sk_c6))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(269,axiom,((multiply(sk_c7, sk_c3) = sk_c6) | (multiply(sk_c5, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_11')).
% 0.20/0.46 tff(270,plain,
% 0.20/0.46 ((multiply(sk_c5, sk_c6) = sk_c7) | (multiply(sk_c7, sk_c3) = sk_c6)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[269, 268])).
% 0.20/0.46 tff(271,plain,
% 0.20/0.46 ((multiply(sk_c5, sk_c6) = sk_c7) | (multiply(sk_c7, sk_c3) = sk_c6)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[270, 267])).
% 0.20/0.46 tff(272,plain,
% 0.20/0.46 (multiply(sk_c7, sk_c3) = sk_c6),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[271, 266])).
% 0.20/0.46 tff(273,plain,
% 0.20/0.46 (((multiply(sk_c2, sk_c7) = sk_c3) | (multiply(sk_c5, sk_c6) = sk_c7)) <=> ((multiply(sk_c2, sk_c7) = sk_c3) | (multiply(sk_c5, sk_c6) = sk_c7))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(274,axiom,((multiply(sk_c2, sk_c7) = sk_c3) | (multiply(sk_c5, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_15')).
% 0.20/0.46 tff(275,plain,
% 0.20/0.46 ((multiply(sk_c2, sk_c7) = sk_c3) | (multiply(sk_c5, sk_c6) = sk_c7)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[274, 273])).
% 0.20/0.46 tff(276,plain,
% 0.20/0.46 (multiply(sk_c2, sk_c7) = sk_c3),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[275, 266])).
% 0.20/0.46 tff(277,plain,
% 0.20/0.46 (multiply(sk_c7, multiply(sk_c2, sk_c7)) = multiply(sk_c7, sk_c3)),
% 0.20/0.46 inference(monotonicity,[status(thm)],[276])).
% 0.20/0.46 tff(278,plain,
% 0.20/0.46 (((inverse(sk_c2) = sk_c7) | (multiply(sk_c5, sk_c6) = sk_c7)) <=> ((inverse(sk_c2) = sk_c7) | (multiply(sk_c5, sk_c6) = sk_c7))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(279,axiom,((inverse(sk_c2) = sk_c7) | (multiply(sk_c5, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_19')).
% 0.20/0.46 tff(280,plain,
% 0.20/0.46 ((inverse(sk_c2) = sk_c7) | (multiply(sk_c5, sk_c6) = sk_c7)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[279, 278])).
% 0.20/0.46 tff(281,plain,
% 0.20/0.46 (inverse(sk_c2) = sk_c7),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[280, 266])).
% 0.20/0.46 tff(282,plain,
% 0.20/0.46 (sk_c7 = inverse(sk_c2)),
% 0.20/0.46 inference(symmetry,[status(thm)],[281])).
% 0.20/0.46 tff(283,plain,
% 0.20/0.46 (multiply(sk_c7, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 0.20/0.46 inference(monotonicity,[status(thm)],[282])).
% 0.20/0.46 tff(284,plain,
% 0.20/0.46 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c7, sk_c2)),
% 0.20/0.46 inference(symmetry,[status(thm)],[283])).
% 0.20/0.46 tff(285,plain,
% 0.20/0.46 (identity = multiply(inverse(sk_c2), sk_c2)),
% 0.20/0.46 inference(symmetry,[status(thm)],[34])).
% 0.20/0.46 tff(286,plain,
% 0.20/0.46 (identity = multiply(sk_c7, sk_c2)),
% 0.20/0.46 inference(transitivity,[status(thm)],[285, 284])).
% 0.20/0.46 tff(287,plain,
% 0.20/0.46 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c2), sk_c7)),
% 0.20/0.46 inference(monotonicity,[status(thm)],[286])).
% 0.20/0.46 tff(288,plain,
% 0.20/0.46 (inverse(sk_c4) = sk_c6),
% 0.20/0.46 inference(transitivity,[status(thm)],[117, 53, 287, 25, 277, 272])).
% 0.20/0.46 tff(289,plain,
% 0.20/0.46 (multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6),
% 0.20/0.46 inference(transitivity,[status(thm)],[277, 272])).
% 0.20/0.46 tff(290,plain,
% 0.20/0.46 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c6), sk_c1) = multiply(sk_c4, multiply(sk_c6, sk_c1)))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(291,plain,
% 0.20/0.46 (multiply(multiply(sk_c4, sk_c6), sk_c1) = multiply(sk_c4, multiply(sk_c6, sk_c1))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[290, 23])).
% 0.20/0.46 tff(292,assumption,(~(multiply(sk_c1, sk_c6) = sk_c7)), introduced(assumption)).
% 0.20/0.46 tff(293,plain,
% 0.20/0.46 (((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c4, sk_c6) = sk_c7)) <=> ((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c4, sk_c6) = sk_c7))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(294,axiom,((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c4, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_6')).
% 0.20/0.46 tff(295,plain,
% 0.20/0.46 ((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c4, sk_c6) = sk_c7)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[294, 293])).
% 0.20/0.46 tff(296,plain,
% 0.20/0.46 (multiply(sk_c4, sk_c6) = sk_c7),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[295, 292])).
% 0.20/0.46 tff(297,plain,
% 0.20/0.46 (multiply(sk_c4, sk_c6) = inverse(sk_c1)),
% 0.20/0.46 inference(transitivity,[status(thm)],[296, 265])).
% 0.20/0.46 tff(298,plain,
% 0.20/0.46 (multiply(multiply(sk_c4, sk_c6), sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 0.20/0.46 inference(monotonicity,[status(thm)],[297])).
% 0.20/0.46 tff(299,plain,
% 0.20/0.46 (multiply(inverse(sk_c1), sk_c1) = multiply(multiply(sk_c4, sk_c6), sk_c1)),
% 0.20/0.46 inference(symmetry,[status(thm)],[298])).
% 0.20/0.46 tff(300,plain,
% 0.20/0.46 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c1), sk_c1) = identity)),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(301,plain,
% 0.20/0.46 (multiply(inverse(sk_c1), sk_c1) = identity),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[300, 32])).
% 0.20/0.46 tff(302,plain,
% 0.20/0.46 (identity = multiply(inverse(sk_c1), sk_c1)),
% 0.20/0.46 inference(symmetry,[status(thm)],[301])).
% 0.20/0.46 tff(303,plain,
% 0.20/0.46 (identity = multiply(sk_c4, multiply(sk_c6, sk_c1))),
% 0.20/0.46 inference(transitivity,[status(thm)],[302, 299, 291])).
% 0.20/0.46 tff(304,plain,
% 0.20/0.46 (multiply(identity, sk_c4) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c1)), sk_c4)),
% 0.20/0.46 inference(monotonicity,[status(thm)],[303])).
% 0.20/0.46 tff(305,plain,
% 0.20/0.46 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c1)), sk_c4) = multiply(identity, sk_c4)),
% 0.20/0.46 inference(symmetry,[status(thm)],[304])).
% 0.20/0.46 tff(306,plain,
% 0.20/0.46 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, multiply(sk_c6, sk_c1)), sk_c4) = multiply(sk_c4, multiply(multiply(sk_c6, sk_c1), sk_c4)))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(307,plain,
% 0.20/0.46 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c1)), sk_c4) = multiply(sk_c4, multiply(multiply(sk_c6, sk_c1), sk_c4))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[306, 23])).
% 0.20/0.46 tff(308,plain,
% 0.20/0.46 (multiply(sk_c4, multiply(multiply(sk_c6, sk_c1), sk_c4)) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c1)), sk_c4)),
% 0.20/0.46 inference(symmetry,[status(thm)],[307])).
% 0.20/0.46 tff(309,plain,
% 0.20/0.46 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c1), sk_c4) = multiply(sk_c6, multiply(sk_c1, sk_c4)))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(310,plain,
% 0.20/0.46 (multiply(multiply(sk_c6, sk_c1), sk_c4) = multiply(sk_c6, multiply(sk_c1, sk_c4))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[309, 23])).
% 0.20/0.46 tff(311,plain,
% 0.20/0.46 (multiply(sk_c4, multiply(multiply(sk_c6, sk_c1), sk_c4)) = multiply(sk_c4, multiply(sk_c6, multiply(sk_c1, sk_c4)))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[310])).
% 0.20/0.46 tff(312,plain,
% 0.20/0.46 (multiply(sk_c4, multiply(sk_c6, multiply(sk_c1, sk_c4))) = multiply(sk_c4, multiply(multiply(sk_c6, sk_c1), sk_c4))),
% 0.20/0.46 inference(symmetry,[status(thm)],[311])).
% 0.20/0.46 tff(313,plain,
% 0.20/0.46 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c6), multiply(sk_c1, sk_c4)) = multiply(sk_c4, multiply(sk_c6, multiply(sk_c1, sk_c4))))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(314,plain,
% 0.20/0.46 (multiply(multiply(sk_c4, sk_c6), multiply(sk_c1, sk_c4)) = multiply(sk_c4, multiply(sk_c6, multiply(sk_c1, sk_c4)))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[313, 23])).
% 0.20/0.46 tff(315,plain,
% 0.20/0.46 (multiply(multiply(sk_c4, sk_c6), multiply(sk_c1, sk_c4)) = multiply(sk_c7, multiply(sk_c1, sk_c4))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[296])).
% 0.20/0.46 tff(316,plain,
% 0.20/0.46 (multiply(sk_c7, multiply(sk_c1, sk_c4)) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c1, sk_c4))),
% 0.20/0.46 inference(symmetry,[status(thm)],[315])).
% 0.20/0.46 tff(317,plain,
% 0.20/0.46 (((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c5, sk_c6) = sk_c7)) <=> ((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c5, sk_c6) = sk_c7))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(318,axiom,((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c5, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_7')).
% 0.20/0.46 tff(319,plain,
% 0.20/0.46 ((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c5, sk_c6) = sk_c7)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[318, 317])).
% 0.20/0.46 tff(320,plain,
% 0.20/0.46 (multiply(sk_c5, sk_c6) = sk_c7),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[319, 292])).
% 0.20/0.47 tff(321,plain,
% 0.20/0.47 (multiply(sk_c4, multiply(sk_c5, sk_c6)) = multiply(sk_c4, sk_c7)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[320])).
% 0.20/0.47 tff(322,plain,
% 0.20/0.47 (multiply(sk_c7, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[265])).
% 0.20/0.47 tff(323,plain,
% 0.20/0.47 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c7, sk_c1)),
% 0.20/0.47 inference(symmetry,[status(thm)],[322])).
% 0.20/0.47 tff(324,plain,
% 0.20/0.47 (identity = multiply(sk_c7, sk_c1)),
% 0.20/0.47 inference(transitivity,[status(thm)],[302, 323])).
% 0.20/0.47 tff(325,plain,
% 0.20/0.47 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[324])).
% 0.20/0.47 tff(326,plain,
% 0.20/0.47 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(identity, sk_c7)),
% 0.20/0.47 inference(symmetry,[status(thm)],[325])).
% 0.20/0.47 tff(327,plain,
% 0.20/0.47 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(sk_c7, multiply(sk_c1, sk_c7)))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(328,plain,
% 0.20/0.47 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[327, 23])).
% 0.20/0.47 tff(329,plain,
% 0.20/0.47 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 0.20/0.47 inference(symmetry,[status(thm)],[328])).
% 0.20/0.47 tff(330,plain,
% 0.20/0.47 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c7),
% 0.20/0.47 inference(transitivity,[status(thm)],[329, 326, 52])).
% 0.20/0.47 tff(331,plain,
% 0.20/0.47 (multiply(multiply(sk_c7, multiply(sk_c1, sk_c7)), multiply(sk_c4, multiply(sk_c5, sk_c6))) = multiply(sk_c7, multiply(sk_c4, sk_c7))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[330, 321])).
% 0.20/0.47 tff(332,plain,
% 0.20/0.47 (multiply(sk_c7, multiply(sk_c4, sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c1, sk_c7)), multiply(sk_c4, multiply(sk_c5, sk_c6)))),
% 0.20/0.47 inference(symmetry,[status(thm)],[331])).
% 0.20/0.47 tff(333,plain,
% 0.20/0.47 (multiply(sk_c7, sk_c4) = multiply(sk_c7, sk_c1)),
% 0.20/0.47 inference(transitivity,[status(thm)],[158, 137, 302, 323])).
% 0.20/0.47 tff(334,plain,
% 0.20/0.47 (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[333])).
% 0.20/0.47 tff(335,plain,
% 0.20/0.47 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(multiply(sk_c7, sk_c4), sk_c7)),
% 0.20/0.47 inference(symmetry,[status(thm)],[334])).
% 0.20/0.47 tff(336,plain,
% 0.20/0.47 (sk_c7 = multiply(multiply(sk_c7, multiply(sk_c1, sk_c7)), multiply(sk_c4, multiply(sk_c5, sk_c6)))),
% 0.20/0.47 inference(transitivity,[status(thm)],[53, 325, 335, 164, 332])).
% 0.20/0.47 tff(337,plain,
% 0.20/0.47 (multiply(sk_c7, multiply(sk_c1, sk_c4)) = multiply(multiply(multiply(sk_c7, multiply(sk_c1, sk_c7)), multiply(sk_c4, multiply(sk_c5, sk_c6))), multiply(sk_c1, sk_c4))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[336])).
% 0.20/0.47 tff(338,plain,
% 0.20/0.47 (multiply(multiply(multiply(sk_c7, multiply(sk_c1, sk_c7)), multiply(sk_c4, multiply(sk_c5, sk_c6))), multiply(sk_c1, sk_c4)) = multiply(sk_c7, multiply(sk_c1, sk_c4))),
% 0.20/0.47 inference(symmetry,[status(thm)],[337])).
% 0.20/0.47 tff(339,plain,
% 0.20/0.47 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, multiply(sk_c1, sk_c7)), multiply(sk_c4, multiply(sk_c5, sk_c6))), multiply(sk_c1, sk_c4)) = multiply(multiply(sk_c7, multiply(sk_c1, sk_c7)), multiply(multiply(sk_c4, multiply(sk_c5, sk_c6)), multiply(sk_c1, sk_c4))))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(340,plain,
% 0.20/0.47 (multiply(multiply(multiply(sk_c7, multiply(sk_c1, sk_c7)), multiply(sk_c4, multiply(sk_c5, sk_c6))), multiply(sk_c1, sk_c4)) = multiply(multiply(sk_c7, multiply(sk_c1, sk_c7)), multiply(multiply(sk_c4, multiply(sk_c5, sk_c6)), multiply(sk_c1, sk_c4)))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[339, 23])).
% 0.20/0.47 tff(341,plain,
% 0.20/0.47 (multiply(multiply(sk_c7, multiply(sk_c1, sk_c7)), multiply(multiply(sk_c4, multiply(sk_c5, sk_c6)), multiply(sk_c1, sk_c4))) = multiply(multiply(multiply(sk_c7, multiply(sk_c1, sk_c7)), multiply(sk_c4, multiply(sk_c5, sk_c6))), multiply(sk_c1, sk_c4))),
% 0.20/0.47 inference(symmetry,[status(thm)],[340])).
% 0.20/0.47 tff(342,plain,
% 0.20/0.47 (sk_c6 = inverse(sk_c5)),
% 0.20/0.47 inference(symmetry,[status(thm)],[260])).
% 0.20/0.47 tff(343,plain,
% 0.20/0.47 (multiply(sk_c6, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[342])).
% 0.20/0.47 tff(344,plain,
% 0.20/0.47 (multiply(sk_c6, sk_c5) = multiply(sk_c7, sk_c1)),
% 0.20/0.47 inference(transitivity,[status(thm)],[343, 178, 302, 323])).
% 0.20/0.47 tff(345,plain,
% 0.20/0.47 (multiply(multiply(sk_c6, sk_c5), sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[344])).
% 0.20/0.47 tff(346,plain,
% 0.20/0.47 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(multiply(sk_c6, sk_c5), sk_c7)),
% 0.20/0.47 inference(symmetry,[status(thm)],[345])).
% 0.20/0.47 tff(347,plain,
% 0.20/0.47 (sk_c7 = multiply(sk_c6, multiply(sk_c5, sk_c7))),
% 0.20/0.47 inference(transitivity,[status(thm)],[53, 325, 346, 176])).
% 0.20/0.47 tff(348,plain,
% 0.20/0.47 (multiply(sk_c4, sk_c7) = multiply(sk_c4, multiply(sk_c6, multiply(sk_c5, sk_c7)))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[347])).
% 0.20/0.47 tff(349,plain,
% 0.20/0.47 (multiply(sk_c4, multiply(sk_c6, multiply(sk_c5, sk_c7))) = multiply(sk_c4, sk_c7)),
% 0.20/0.47 inference(symmetry,[status(thm)],[348])).
% 0.20/0.47 tff(350,plain,
% 0.20/0.47 (multiply(multiply(sk_c4, sk_c6), multiply(sk_c5, sk_c7)) = multiply(sk_c7, multiply(sk_c5, sk_c7))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[296])).
% 0.20/0.47 tff(351,plain,
% 0.20/0.47 (multiply(sk_c7, multiply(sk_c5, sk_c7)) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c5, sk_c7))),
% 0.20/0.47 inference(symmetry,[status(thm)],[350])).
% 0.20/0.47 tff(352,plain,
% 0.20/0.47 (multiply(multiply(sk_c5, sk_c6), multiply(sk_c5, sk_c7)) = multiply(sk_c7, multiply(sk_c5, sk_c7))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[320])).
% 0.20/0.47 tff(353,plain,
% 0.20/0.47 (multiply(sk_c5, sk_c7) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c5, sk_c7)))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[347])).
% 0.20/0.47 tff(354,plain,
% 0.20/0.47 (multiply(sk_c5, sk_c7) = multiply(sk_c4, sk_c7)),
% 0.20/0.47 inference(transitivity,[status(thm)],[353, 194, 352, 351, 188, 349])).
% 0.20/0.47 tff(355,plain,
% 0.20/0.47 (multiply(sk_c7, multiply(sk_c5, sk_c7)) = multiply(sk_c7, multiply(sk_c4, sk_c7))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[354])).
% 0.20/0.47 tff(356,plain,
% 0.20/0.47 (multiply(sk_c5, sk_c7) = sk_c7),
% 0.20/0.47 inference(transitivity,[status(thm)],[353, 194, 352, 355, 165, 334, 326, 52])).
% 0.20/0.47 tff(357,plain,
% 0.20/0.47 (multiply(multiply(sk_c5, sk_c7), multiply(sk_c1, sk_c4)) = multiply(sk_c7, multiply(sk_c1, sk_c4))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[356])).
% 0.20/0.47 tff(358,plain,
% 0.20/0.47 (multiply(sk_c5, multiply(sk_c6, multiply(sk_c5, sk_c7))) = multiply(sk_c5, sk_c7)),
% 0.20/0.47 inference(symmetry,[status(thm)],[353])).
% 0.20/0.47 tff(359,plain,
% 0.20/0.47 (multiply(sk_c7, multiply(sk_c5, sk_c7)) = multiply(multiply(sk_c5, sk_c6), multiply(sk_c5, sk_c7))),
% 0.20/0.47 inference(symmetry,[status(thm)],[352])).
% 0.20/0.47 tff(360,plain,
% 0.20/0.47 (multiply(sk_c4, multiply(sk_c5, sk_c6)) = multiply(sk_c5, sk_c7)),
% 0.20/0.47 inference(transitivity,[status(thm)],[321, 348, 202, 350, 359, 193, 358])).
% 0.20/0.47 tff(361,plain,
% 0.20/0.47 (multiply(multiply(sk_c4, multiply(sk_c5, sk_c6)), multiply(sk_c1, sk_c4)) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c1, sk_c4))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[360])).
% 0.20/0.47 tff(362,plain,
% 0.20/0.47 (multiply(multiply(sk_c4, multiply(sk_c5, sk_c6)), multiply(sk_c1, sk_c4)) = sk_c4),
% 0.20/0.47 inference(transitivity,[status(thm)],[361, 357, 316, 314, 312, 308, 305, 126])).
% 0.20/0.47 tff(363,plain,
% 0.20/0.47 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = inverse(sk_c4)),
% 0.20/0.47 inference(transitivity,[status(thm)],[329, 326, 52, 119])).
% 0.20/0.47 tff(364,plain,
% 0.20/0.47 (multiply(multiply(sk_c7, multiply(sk_c1, sk_c7)), multiply(multiply(sk_c4, multiply(sk_c5, sk_c6)), multiply(sk_c1, sk_c4))) = multiply(inverse(sk_c4), sk_c4)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[363, 362])).
% 0.20/0.47 tff(365,plain,
% 0.20/0.47 (multiply(inverse(sk_c4), sk_c4) = multiply(multiply(sk_c7, multiply(sk_c1, sk_c7)), multiply(multiply(sk_c4, multiply(sk_c5, sk_c6)), multiply(sk_c1, sk_c4)))),
% 0.20/0.47 inference(symmetry,[status(thm)],[364])).
% 0.20/0.47 tff(366,plain,
% 0.20/0.47 (multiply(multiply(sk_c5, sk_c7), multiply(sk_c1, sk_c5)) = multiply(sk_c7, multiply(sk_c1, sk_c5))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[356])).
% 0.20/0.47 tff(367,plain,
% 0.20/0.47 (multiply(sk_c7, multiply(sk_c1, sk_c5)) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c1, sk_c5))),
% 0.20/0.47 inference(symmetry,[status(thm)],[366])).
% 0.20/0.47 tff(368,plain,
% 0.20/0.47 (multiply(multiply(sk_c4, sk_c6), multiply(sk_c1, sk_c5)) = multiply(sk_c7, multiply(sk_c1, sk_c5))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[296])).
% 0.20/0.47 tff(369,plain,
% 0.20/0.47 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c6), multiply(sk_c1, sk_c5)) = multiply(sk_c4, multiply(sk_c6, multiply(sk_c1, sk_c5))))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(370,plain,
% 0.20/0.47 (multiply(multiply(sk_c4, sk_c6), multiply(sk_c1, sk_c5)) = multiply(sk_c4, multiply(sk_c6, multiply(sk_c1, sk_c5)))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[369, 23])).
% 0.20/0.47 tff(371,plain,
% 0.20/0.47 (multiply(sk_c4, multiply(sk_c6, multiply(sk_c1, sk_c5))) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c1, sk_c5))),
% 0.20/0.47 inference(symmetry,[status(thm)],[370])).
% 0.20/0.47 tff(372,plain,
% 0.20/0.47 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c1), sk_c5) = multiply(sk_c6, multiply(sk_c1, sk_c5)))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(373,plain,
% 0.20/0.47 (multiply(multiply(sk_c6, sk_c1), sk_c5) = multiply(sk_c6, multiply(sk_c1, sk_c5))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[372, 23])).
% 0.20/0.47 tff(374,plain,
% 0.20/0.47 (multiply(sk_c4, multiply(multiply(sk_c6, sk_c1), sk_c5)) = multiply(sk_c4, multiply(sk_c6, multiply(sk_c1, sk_c5)))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[373])).
% 0.20/0.47 tff(375,plain,
% 0.20/0.47 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, multiply(sk_c6, sk_c1)), sk_c5) = multiply(sk_c4, multiply(multiply(sk_c6, sk_c1), sk_c5)))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(376,plain,
% 0.20/0.47 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c1)), sk_c5) = multiply(sk_c4, multiply(multiply(sk_c6, sk_c1), sk_c5))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[375, 23])).
% 0.20/0.47 tff(377,plain,
% 0.20/0.47 (multiply(identity, sk_c5) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c1)), sk_c5)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[303])).
% 0.20/0.47 tff(378,plain,
% 0.20/0.47 (sk_c5 = multiply(multiply(sk_c5, sk_c7), multiply(sk_c1, sk_c5))),
% 0.20/0.47 inference(transitivity,[status(thm)],[223, 377, 376, 374, 371, 368, 367])).
% 0.20/0.47 tff(379,plain,
% 0.20/0.47 (multiply(inverse(sk_c5), sk_c5) = multiply(sk_c6, multiply(multiply(sk_c5, sk_c7), multiply(sk_c1, sk_c5)))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[260, 378])).
% 0.20/0.47 tff(380,plain,
% 0.20/0.47 (multiply(sk_c6, multiply(multiply(sk_c5, sk_c7), multiply(sk_c1, sk_c5))) = multiply(inverse(sk_c5), sk_c5)),
% 0.20/0.47 inference(symmetry,[status(thm)],[379])).
% 0.20/0.47 tff(381,plain,
% 0.20/0.47 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c5, sk_c7)), multiply(sk_c1, sk_c5)) = multiply(sk_c6, multiply(multiply(sk_c5, sk_c7), multiply(sk_c1, sk_c5))))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(382,plain,
% 0.20/0.47 (multiply(multiply(sk_c6, multiply(sk_c5, sk_c7)), multiply(sk_c1, sk_c5)) = multiply(sk_c6, multiply(multiply(sk_c5, sk_c7), multiply(sk_c1, sk_c5)))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[381, 23])).
% 0.20/0.47 tff(383,plain,
% 0.20/0.47 (multiply(sk_c6, multiply(sk_c5, sk_c7)) = sk_c7),
% 0.20/0.47 inference(transitivity,[status(thm)],[229, 345, 326, 52])).
% 0.20/0.47 tff(384,plain,
% 0.20/0.47 (multiply(multiply(sk_c6, multiply(sk_c5, sk_c7)), multiply(sk_c1, sk_c5)) = multiply(sk_c7, multiply(sk_c1, sk_c5))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[383])).
% 0.20/0.47 tff(385,plain,
% 0.20/0.47 (multiply(sk_c7, multiply(sk_c1, sk_c5)) = multiply(multiply(sk_c6, multiply(sk_c5, sk_c7)), multiply(sk_c1, sk_c5))),
% 0.20/0.47 inference(symmetry,[status(thm)],[384])).
% 0.20/0.47 tff(386,plain,
% 0.20/0.47 (sk_c5 = sk_c4),
% 0.20/0.47 inference(transitivity,[status(thm)],[223, 377, 376, 374, 371, 368, 385, 382, 380, 178, 138, 365, 341, 338, 316, 314, 312, 308, 305, 126])).
% 0.20/0.47 tff(387,plain,
% 0.20/0.47 (inverse(sk_c5) = inverse(sk_c4)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[386])).
% 0.20/0.47 tff(388,plain,
% 0.20/0.47 (inverse(sk_c4) = inverse(sk_c5)),
% 0.20/0.47 inference(symmetry,[status(thm)],[387])).
% 0.20/0.47 tff(389,plain,
% 0.20/0.47 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6),
% 0.20/0.47 inference(transitivity,[status(thm)],[329, 326, 52, 119, 388, 260])).
% 0.20/0.47 tff(390,plain,
% 0.20/0.47 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(391,plain,
% 0.20/0.47 (((~(inverse(sk_c5) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6))) <=> ((~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(392,plain,
% 0.20/0.47 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c5) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c6)) | (~(inverse(sk_c4) = sk_c7))))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[391])).
% 0.20/0.47 tff(393,plain,
% 0.20/0.47 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c5) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)))),
% 0.20/0.47 inference(transitivity,[status(thm)],[392, 390])).
% 0.20/0.47 tff(394,plain,
% 0.20/0.47 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c5) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(395,plain,
% 0.20/0.47 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c6)) | (~(inverse(sk_c4) = sk_c7))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[394, 393])).
% 0.20/0.47 tff(396,plain,
% 0.20/0.47 ((~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[395, 245, 117, 260, 101])).
% 0.20/0.47 tff(397,plain,
% 0.20/0.47 (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[396, 320, 296])).
% 0.20/0.47 tff(398,plain,
% 0.20/0.47 ($false),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[397, 389])).
% 0.20/0.47 tff(399,plain,(multiply(sk_c1, sk_c6) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 0.20/0.47 tff(400,plain,
% 0.20/0.47 ((~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[113, 245, 399, 281, 101])).
% 0.20/0.47 tff(401,plain,
% 0.20/0.47 (~(inverse(sk_c1) = sk_c6)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[400, 289])).
% 0.20/0.47 tff(402,plain,
% 0.20/0.47 (~(inverse(sk_c4) = sk_c6)),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[401, 248])).
% 0.20/0.47 tff(403,plain,
% 0.20/0.47 ($false),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[402, 288])).
% 0.20/0.47 tff(404,plain,(multiply(sk_c5, sk_c6) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 0.20/0.47 tff(405,plain,
% 0.20/0.47 (multiply(sk_c5, sk_c6) = inverse(sk_c1)),
% 0.20/0.47 inference(transitivity,[status(thm)],[404, 265])).
% 0.20/0.47 tff(406,plain,
% 0.20/0.47 (multiply(multiply(sk_c5, sk_c6), sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[405])).
% 0.20/0.47 tff(407,plain,
% 0.20/0.47 (multiply(inverse(sk_c1), sk_c1) = multiply(multiply(sk_c5, sk_c6), sk_c1)),
% 0.20/0.47 inference(symmetry,[status(thm)],[406])).
% 0.20/0.47 tff(408,plain,
% 0.20/0.47 (identity = multiply(sk_c5, multiply(sk_c6, sk_c1))),
% 0.20/0.47 inference(transitivity,[status(thm)],[302, 407, 264])).
% 0.20/0.47 tff(409,plain,
% 0.20/0.47 (multiply(identity, sk_c1) = multiply(multiply(sk_c5, multiply(sk_c6, sk_c1)), sk_c1)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[408])).
% 0.20/0.47 tff(410,plain,
% 0.20/0.47 (multiply(multiply(sk_c5, multiply(sk_c6, sk_c1)), sk_c1) = multiply(identity, sk_c1)),
% 0.20/0.47 inference(symmetry,[status(thm)],[409])).
% 0.20/0.47 tff(411,plain,
% 0.20/0.47 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, multiply(sk_c6, sk_c1)), sk_c1) = multiply(sk_c5, multiply(multiply(sk_c6, sk_c1), sk_c1)))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(412,plain,
% 0.20/0.47 (multiply(multiply(sk_c5, multiply(sk_c6, sk_c1)), sk_c1) = multiply(sk_c5, multiply(multiply(sk_c6, sk_c1), sk_c1))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[411, 23])).
% 0.20/0.47 tff(413,plain,
% 0.20/0.47 (multiply(sk_c5, multiply(multiply(sk_c6, sk_c1), sk_c1)) = multiply(multiply(sk_c5, multiply(sk_c6, sk_c1)), sk_c1)),
% 0.20/0.47 inference(symmetry,[status(thm)],[412])).
% 0.20/0.47 tff(414,plain,
% 0.20/0.47 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c1), sk_c1) = multiply(sk_c6, multiply(sk_c1, sk_c1)))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(415,plain,
% 0.20/0.48 (multiply(multiply(sk_c6, sk_c1), sk_c1) = multiply(sk_c6, multiply(sk_c1, sk_c1))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[414, 23])).
% 0.20/0.48 tff(416,plain,
% 0.20/0.48 (multiply(sk_c5, multiply(multiply(sk_c6, sk_c1), sk_c1)) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c1, sk_c1)))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[415])).
% 0.20/0.48 tff(417,plain,
% 0.20/0.48 (multiply(sk_c5, multiply(sk_c6, multiply(sk_c1, sk_c1))) = multiply(sk_c5, multiply(multiply(sk_c6, sk_c1), sk_c1))),
% 0.20/0.48 inference(symmetry,[status(thm)],[416])).
% 0.20/0.48 tff(418,plain,
% 0.20/0.48 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c6), multiply(sk_c1, sk_c1)) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c1, sk_c1))))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(419,plain,
% 0.20/0.48 (multiply(multiply(sk_c5, sk_c6), multiply(sk_c1, sk_c1)) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c1, sk_c1)))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[418, 23])).
% 0.20/0.48 tff(420,plain,
% 0.20/0.48 (multiply(multiply(sk_c5, sk_c6), multiply(sk_c1, sk_c1)) = multiply(sk_c7, multiply(sk_c1, sk_c1))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[404])).
% 0.20/0.48 tff(421,plain,
% 0.20/0.48 (multiply(sk_c7, multiply(sk_c1, sk_c1)) = multiply(multiply(sk_c5, sk_c6), multiply(sk_c1, sk_c1))),
% 0.20/0.48 inference(symmetry,[status(thm)],[420])).
% 0.20/0.48 tff(422,plain,
% 0.20/0.48 (multiply(sk_c1, multiply(sk_c5, sk_c6)) = multiply(sk_c1, sk_c7)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[404])).
% 0.20/0.48 tff(423,plain,
% 0.20/0.48 (multiply(multiply(sk_c7, multiply(sk_c1, sk_c7)), multiply(sk_c1, multiply(sk_c5, sk_c6))) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[330, 422])).
% 0.20/0.48 tff(424,plain,
% 0.20/0.48 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c1, sk_c7)), multiply(sk_c1, multiply(sk_c5, sk_c6)))),
% 0.20/0.48 inference(symmetry,[status(thm)],[423])).
% 0.20/0.48 tff(425,plain,
% 0.20/0.48 (sk_c7 = multiply(multiply(sk_c7, multiply(sk_c1, sk_c7)), multiply(sk_c1, multiply(sk_c5, sk_c6)))),
% 0.20/0.48 inference(transitivity,[status(thm)],[53, 325, 328, 424])).
% 0.20/0.48 tff(426,plain,
% 0.20/0.48 (multiply(sk_c7, multiply(sk_c1, sk_c1)) = multiply(multiply(multiply(sk_c7, multiply(sk_c1, sk_c7)), multiply(sk_c1, multiply(sk_c5, sk_c6))), multiply(sk_c1, sk_c1))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[425])).
% 0.20/0.48 tff(427,plain,
% 0.20/0.48 (multiply(multiply(multiply(sk_c7, multiply(sk_c1, sk_c7)), multiply(sk_c1, multiply(sk_c5, sk_c6))), multiply(sk_c1, sk_c1)) = multiply(sk_c7, multiply(sk_c1, sk_c1))),
% 0.20/0.48 inference(symmetry,[status(thm)],[426])).
% 0.20/0.48 tff(428,plain,
% 0.20/0.48 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, multiply(sk_c1, sk_c7)), multiply(sk_c1, multiply(sk_c5, sk_c6))), multiply(sk_c1, sk_c1)) = multiply(multiply(sk_c7, multiply(sk_c1, sk_c7)), multiply(multiply(sk_c1, multiply(sk_c5, sk_c6)), multiply(sk_c1, sk_c1))))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(429,plain,
% 0.20/0.48 (multiply(multiply(multiply(sk_c7, multiply(sk_c1, sk_c7)), multiply(sk_c1, multiply(sk_c5, sk_c6))), multiply(sk_c1, sk_c1)) = multiply(multiply(sk_c7, multiply(sk_c1, sk_c7)), multiply(multiply(sk_c1, multiply(sk_c5, sk_c6)), multiply(sk_c1, sk_c1)))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[428, 23])).
% 0.20/0.48 tff(430,plain,
% 0.20/0.48 (multiply(multiply(sk_c7, multiply(sk_c1, sk_c7)), multiply(multiply(sk_c1, multiply(sk_c5, sk_c6)), multiply(sk_c1, sk_c1))) = multiply(multiply(multiply(sk_c7, multiply(sk_c1, sk_c7)), multiply(sk_c1, multiply(sk_c5, sk_c6))), multiply(sk_c1, sk_c1))),
% 0.20/0.48 inference(symmetry,[status(thm)],[429])).
% 0.20/0.48 tff(431,plain,
% 0.20/0.48 (multiply(sk_c1, sk_c7) = multiply(sk_c1, multiply(sk_c6, multiply(sk_c5, sk_c7)))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[347])).
% 0.20/0.48 tff(432,plain,
% 0.20/0.48 (multiply(sk_c1, multiply(sk_c6, multiply(sk_c5, sk_c7))) = multiply(sk_c1, sk_c7)),
% 0.20/0.48 inference(symmetry,[status(thm)],[431])).
% 0.20/0.48 tff(433,plain,
% 0.20/0.48 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c6), multiply(sk_c5, sk_c7)) = multiply(sk_c1, multiply(sk_c6, multiply(sk_c5, sk_c7))))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(434,plain,
% 0.20/0.48 (multiply(multiply(sk_c1, sk_c6), multiply(sk_c5, sk_c7)) = multiply(sk_c1, multiply(sk_c6, multiply(sk_c5, sk_c7)))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[433, 23])).
% 0.20/0.48 tff(435,plain,
% 0.20/0.48 (multiply(multiply(sk_c1, sk_c6), multiply(sk_c5, sk_c7)) = multiply(sk_c7, multiply(sk_c5, sk_c7))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[399])).
% 0.20/0.48 tff(436,plain,
% 0.20/0.48 (multiply(sk_c7, multiply(sk_c5, sk_c7)) = multiply(multiply(sk_c1, sk_c6), multiply(sk_c5, sk_c7))),
% 0.20/0.48 inference(symmetry,[status(thm)],[435])).
% 0.20/0.48 tff(437,plain,
% 0.20/0.48 (multiply(multiply(sk_c5, sk_c6), multiply(sk_c5, sk_c7)) = multiply(sk_c7, multiply(sk_c5, sk_c7))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[404])).
% 0.20/0.48 tff(438,plain,
% 0.20/0.48 (multiply(sk_c5, sk_c7) = multiply(sk_c1, sk_c7)),
% 0.20/0.48 inference(transitivity,[status(thm)],[353, 194, 437, 436, 434, 432])).
% 0.20/0.48 tff(439,plain,
% 0.20/0.48 (multiply(sk_c7, multiply(sk_c5, sk_c7)) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[438])).
% 0.20/0.48 tff(440,plain,
% 0.20/0.48 (multiply(sk_c5, sk_c7) = sk_c7),
% 0.20/0.48 inference(transitivity,[status(thm)],[353, 194, 437, 439, 329, 326, 52])).
% 0.20/0.48 tff(441,plain,
% 0.20/0.48 (multiply(multiply(sk_c5, sk_c7), multiply(sk_c1, sk_c1)) = multiply(sk_c7, multiply(sk_c1, sk_c1))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[440])).
% 0.20/0.48 tff(442,plain,
% 0.20/0.48 (multiply(sk_c7, multiply(sk_c5, sk_c7)) = multiply(multiply(sk_c5, sk_c6), multiply(sk_c5, sk_c7))),
% 0.20/0.48 inference(symmetry,[status(thm)],[437])).
% 0.20/0.48 tff(443,plain,
% 0.20/0.48 (multiply(sk_c1, multiply(sk_c6, multiply(sk_c5, sk_c7))) = multiply(multiply(sk_c1, sk_c6), multiply(sk_c5, sk_c7))),
% 0.20/0.48 inference(symmetry,[status(thm)],[434])).
% 0.20/0.48 tff(444,plain,
% 0.20/0.48 (multiply(sk_c1, multiply(sk_c5, sk_c6)) = multiply(sk_c5, sk_c7)),
% 0.20/0.48 inference(transitivity,[status(thm)],[422, 431, 443, 435, 442, 193, 358])).
% 0.20/0.48 tff(445,plain,
% 0.20/0.48 (multiply(multiply(sk_c1, multiply(sk_c5, sk_c6)), multiply(sk_c1, sk_c1)) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c1, sk_c1))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[444])).
% 0.20/0.48 tff(446,plain,
% 0.20/0.48 (multiply(multiply(sk_c1, multiply(sk_c5, sk_c6)), multiply(sk_c1, sk_c1)) = sk_c1),
% 0.20/0.48 inference(transitivity,[status(thm)],[445, 441, 421, 419, 417, 413, 410, 262])).
% 0.20/0.48 tff(447,plain,
% 0.20/0.48 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = inverse(sk_c1)),
% 0.20/0.48 inference(transitivity,[status(thm)],[329, 326, 52, 265])).
% 0.20/0.48 tff(448,plain,
% 0.20/0.48 (multiply(multiply(sk_c7, multiply(sk_c1, sk_c7)), multiply(multiply(sk_c1, multiply(sk_c5, sk_c6)), multiply(sk_c1, sk_c1))) = multiply(inverse(sk_c1), sk_c1)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[447, 446])).
% 0.20/0.48 tff(449,plain,
% 0.20/0.48 (multiply(inverse(sk_c1), sk_c1) = multiply(multiply(sk_c7, multiply(sk_c1, sk_c7)), multiply(multiply(sk_c1, multiply(sk_c5, sk_c6)), multiply(sk_c1, sk_c1)))),
% 0.20/0.48 inference(symmetry,[status(thm)],[448])).
% 0.20/0.48 tff(450,plain,
% 0.20/0.48 (multiply(multiply(sk_c5, sk_c7), multiply(sk_c1, sk_c5)) = multiply(sk_c7, multiply(sk_c1, sk_c5))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[440])).
% 0.20/0.48 tff(451,plain,
% 0.20/0.48 (multiply(sk_c7, multiply(sk_c1, sk_c5)) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c1, sk_c5))),
% 0.20/0.48 inference(symmetry,[status(thm)],[450])).
% 0.20/0.48 tff(452,plain,
% 0.20/0.48 (multiply(multiply(sk_c5, sk_c6), multiply(sk_c1, sk_c5)) = multiply(sk_c7, multiply(sk_c1, sk_c5))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[404])).
% 0.20/0.48 tff(453,plain,
% 0.20/0.48 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c6), multiply(sk_c1, sk_c5)) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c1, sk_c5))))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(454,plain,
% 0.20/0.48 (multiply(multiply(sk_c5, sk_c6), multiply(sk_c1, sk_c5)) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c1, sk_c5)))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[453, 23])).
% 0.20/0.48 tff(455,plain,
% 0.20/0.48 (multiply(sk_c5, multiply(sk_c6, multiply(sk_c1, sk_c5))) = multiply(multiply(sk_c5, sk_c6), multiply(sk_c1, sk_c5))),
% 0.20/0.48 inference(symmetry,[status(thm)],[454])).
% 0.20/0.48 tff(456,plain,
% 0.20/0.48 (multiply(sk_c5, multiply(multiply(sk_c6, sk_c1), sk_c5)) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c1, sk_c5)))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[373])).
% 0.20/0.48 tff(457,plain,
% 0.20/0.48 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, multiply(sk_c6, sk_c1)), sk_c5) = multiply(sk_c5, multiply(multiply(sk_c6, sk_c1), sk_c5)))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(458,plain,
% 0.20/0.48 (multiply(multiply(sk_c5, multiply(sk_c6, sk_c1)), sk_c5) = multiply(sk_c5, multiply(multiply(sk_c6, sk_c1), sk_c5))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[457, 23])).
% 0.20/0.48 tff(459,plain,
% 0.20/0.48 (multiply(identity, sk_c5) = multiply(multiply(sk_c5, multiply(sk_c6, sk_c1)), sk_c5)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[408])).
% 0.20/0.48 tff(460,plain,
% 0.20/0.48 (sk_c5 = multiply(multiply(sk_c5, sk_c7), multiply(sk_c1, sk_c5))),
% 0.20/0.48 inference(transitivity,[status(thm)],[223, 459, 458, 456, 455, 452, 451])).
% 0.20/0.48 tff(461,plain,
% 0.20/0.48 (multiply(inverse(sk_c5), sk_c5) = multiply(sk_c6, multiply(multiply(sk_c5, sk_c7), multiply(sk_c1, sk_c5)))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[260, 460])).
% 0.20/0.48 tff(462,plain,
% 0.20/0.48 (multiply(sk_c6, multiply(multiply(sk_c5, sk_c7), multiply(sk_c1, sk_c5))) = multiply(inverse(sk_c5), sk_c5)),
% 0.20/0.48 inference(symmetry,[status(thm)],[461])).
% 0.20/0.48 tff(463,plain,
% 0.20/0.48 (sk_c5 = sk_c1),
% 0.20/0.48 inference(transitivity,[status(thm)],[223, 459, 458, 456, 455, 452, 385, 382, 462, 178, 302, 449, 430, 427, 421, 419, 417, 413, 410, 262])).
% 0.20/0.48 tff(464,plain,
% 0.20/0.48 (inverse(sk_c5) = inverse(sk_c1)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[463])).
% 0.20/0.48 tff(465,plain,
% 0.20/0.48 (inverse(sk_c1) = inverse(sk_c5)),
% 0.20/0.48 inference(symmetry,[status(thm)],[464])).
% 0.20/0.48 tff(466,plain,
% 0.20/0.48 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6),
% 0.20/0.48 inference(transitivity,[status(thm)],[329, 326, 52, 265, 465, 260])).
% 0.20/0.48 tff(467,plain,
% 0.20/0.48 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))) | ((~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c6)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c6)))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(468,plain,
% 0.20/0.48 (((~(inverse(sk_c5) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6))) <=> ((~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c6)))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(469,plain,
% 0.20/0.48 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c5) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))) | ((~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c6))))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[468])).
% 0.20/0.48 tff(470,plain,
% 0.20/0.48 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c5) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c6)))),
% 0.20/0.48 inference(transitivity,[status(thm)],[469, 467])).
% 0.20/0.48 tff(471,plain,
% 0.20/0.48 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c5) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(472,plain,
% 0.20/0.48 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)))) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c6))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[471, 470])).
% 0.20/0.48 tff(473,plain,
% 0.20/0.48 ((~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[472, 245, 260, 101])).
% 0.20/0.48 tff(474,plain,
% 0.20/0.48 ((~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[473, 399])).
% 0.20/0.48 tff(475,plain,
% 0.20/0.48 (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[474, 404])).
% 0.20/0.48 tff(476,plain,
% 0.20/0.48 ($false),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[475, 466])).
% 0.20/0.48 % SZS output end Proof
% 0.20/0.49 % E exiting
%------------------------------------------------------------------------------