%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GRP234-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:07:30 AM UTC 2025
% Result : Unsatisfiable 0.20s 0.53s
% Output : Proof 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP234-1 : TPTP v9.0.0. Released v2.5.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 19 15:53:17 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.20/0.53 % SZS status Unsatisfiable
% 0.20/0.53 % SZS output start Proof
% 0.20/0.53 tff(sk_c7_type, type, (
% 0.20/0.53 sk_c7: $i)).
% 0.20/0.53 tff(multiply_type, type, (
% 0.20/0.53 multiply: ( $i * $i ) > $i)).
% 0.20/0.53 tff(sk_c6_type, type, (
% 0.20/0.53 sk_c6: $i)).
% 0.20/0.53 tff(sk_c2_type, type, (
% 0.20/0.53 sk_c2: $i)).
% 0.20/0.53 tff(identity_type, type, (
% 0.20/0.53 identity: $i)).
% 0.20/0.53 tff(sk_c3_type, type, (
% 0.20/0.53 sk_c3: $i)).
% 0.20/0.53 tff(inverse_type, type, (
% 0.20/0.53 inverse: $i > $i)).
% 0.20/0.53 tff(sk_c1_type, type, (
% 0.20/0.53 sk_c1: $i)).
% 0.20/0.53 tff(sk_c5_type, type, (
% 0.20/0.53 sk_c5: $i)).
% 0.20/0.53 tff(sk_c4_type, type, (
% 0.20/0.53 sk_c4: $i)).
% 0.20/0.53 tff(1,plain,
% 0.20/0.53 (^[X: $i] : refl((multiply(identity, X) = X) <=> (multiply(identity, X) = X))),
% 0.20/0.53 inference(bind,[status(th)],[])).
% 0.20/0.53 tff(2,plain,
% 0.20/0.53 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 0.20/0.53 inference(quant_intro,[status(thm)],[1])).
% 0.20/0.53 tff(3,plain,
% 0.20/0.53 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(4,axiom,(![X: $i] : (multiply(identity, X) = X)), file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax','left_identity')).
% 0.20/0.53 tff(5,plain,
% 0.20/0.53 (![X: $i] : (multiply(identity, X) = X)),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.20/0.53 tff(6,plain,(
% 0.20/0.53 ![X: $i] : (multiply(identity, X) = X)),
% 0.20/0.53 inference(skolemize,[status(sab)],[5])).
% 0.20/0.53 tff(7,plain,
% 0.20/0.53 (![X: $i] : (multiply(identity, X) = X)),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.20/0.53 tff(8,plain,
% 0.20/0.53 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c7) = sk_c7)),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(9,plain,
% 0.20/0.53 (multiply(identity, sk_c7) = sk_c7),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.20/0.53 tff(10,plain,
% 0.20/0.53 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c2) = sk_c2)),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(11,plain,
% 0.20/0.53 (multiply(identity, sk_c2) = sk_c2),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[10, 7])).
% 0.20/0.53 tff(12,plain,
% 0.20/0.53 (^[X: $i] : refl((multiply(inverse(X), X) = identity) <=> (multiply(inverse(X), X) = identity))),
% 0.20/0.53 inference(bind,[status(th)],[])).
% 0.20/0.53 tff(13,plain,
% 0.20/0.53 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.20/0.53 inference(quant_intro,[status(thm)],[12])).
% 0.20/0.53 tff(14,plain,
% 0.20/0.53 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(15,axiom,(![X: $i] : (multiply(inverse(X), X) = identity)), file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax','left_inverse')).
% 0.20/0.53 tff(16,plain,
% 0.20/0.53 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.20/0.53 tff(17,plain,(
% 0.20/0.53 ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.20/0.53 inference(skolemize,[status(sab)],[16])).
% 0.20/0.53 tff(18,plain,
% 0.20/0.53 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[17, 13])).
% 0.20/0.53 tff(19,plain,
% 0.20/0.53 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c3), sk_c3) = identity)),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(20,plain,
% 0.20/0.53 (multiply(inverse(sk_c3), sk_c3) = identity),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[19, 18])).
% 0.20/0.53 tff(21,assumption,(~(inverse(sk_c3) = sk_c7)), introduced(assumption)).
% 0.20/0.53 tff(22,plain,
% 0.20/0.53 (((inverse(sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(23,axiom,((inverse(sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_1')).
% 0.20/0.53 tff(24,plain,
% 0.20/0.53 ((inverse(sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[23, 22])).
% 0.20/0.53 tff(25,plain,
% 0.20/0.53 ((inverse(sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[24, 22])).
% 0.20/0.53 tff(26,plain,
% 0.20/0.53 ((inverse(sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[25, 22])).
% 0.20/0.53 tff(27,plain,
% 0.20/0.53 ((inverse(sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[26, 22])).
% 0.20/0.53 tff(28,plain,
% 0.20/0.53 ((inverse(sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[27, 22])).
% 0.20/0.53 tff(29,plain,
% 0.20/0.53 (inverse(sk_c7) = sk_c6),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[28, 21])).
% 0.20/0.53 tff(30,plain,
% 0.20/0.53 (((inverse(sk_c2) = sk_c7) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c2) = sk_c7) | (inverse(sk_c3) = sk_c7))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(31,axiom,((inverse(sk_c2) = sk_c7) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_16')).
% 0.20/0.53 tff(32,plain,
% 0.20/0.53 ((inverse(sk_c2) = sk_c7) | (inverse(sk_c3) = sk_c7)),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.20/0.53 tff(33,plain,
% 0.20/0.53 (inverse(sk_c2) = sk_c7),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[32, 21])).
% 0.20/0.53 tff(34,plain,
% 0.20/0.53 (((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c6)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c6))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(35,plain,
% 0.20/0.53 (((multiply(sk_c2, sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c6))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(36,axiom,((multiply(sk_c2, sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_11')).
% 0.20/0.53 tff(37,plain,
% 0.20/0.53 ((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c6)),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[36, 35])).
% 0.20/0.53 tff(38,plain,
% 0.20/0.53 ((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c6)),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[37, 34])).
% 0.20/0.53 tff(39,plain,
% 0.20/0.53 (multiply(sk_c2, sk_c7) = sk_c6),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[38, 21])).
% 0.20/0.53 tff(40,assumption,(multiply(sk_c2, sk_c7) = sk_c6), introduced(assumption)).
% 0.20/0.53 tff(41,plain,
% 0.20/0.53 (multiply(sk_c7, multiply(sk_c2, sk_c7)) = multiply(sk_c7, sk_c6)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[40])).
% 0.20/0.53 tff(42,plain,
% 0.20/0.53 (^[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))))),
% 0.20/0.53 inference(bind,[status(th)],[])).
% 0.20/0.53 tff(43,plain,
% 0.20/0.53 (![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)))),
% 0.20/0.53 inference(quant_intro,[status(thm)],[42])).
% 0.20/0.53 tff(44,plain,
% 0.20/0.53 (![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)))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(45,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')).
% 0.20/0.53 tff(46,plain,
% 0.20/0.53 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[45, 44])).
% 0.20/0.53 tff(47,plain,(
% 0.20/0.53 ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.20/0.53 inference(skolemize,[status(sab)],[46])).
% 0.20/0.53 tff(48,plain,
% 0.20/0.53 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[47, 43])).
% 0.20/0.53 tff(49,plain,
% 0.20/0.53 ((~![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)))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(50,plain,
% 0.20/0.53 (multiply(multiply(sk_c7, sk_c2), sk_c7) = multiply(sk_c7, multiply(sk_c2, sk_c7))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[49, 48])).
% 0.20/0.53 tff(51,assumption,(inverse(sk_c2) = sk_c7), introduced(assumption)).
% 0.20/0.53 tff(52,plain,
% 0.20/0.53 (sk_c7 = inverse(sk_c2)),
% 0.20/0.53 inference(symmetry,[status(thm)],[51])).
% 0.20/0.53 tff(53,plain,
% 0.20/0.53 (multiply(sk_c7, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[52])).
% 0.20/0.53 tff(54,plain,
% 0.20/0.53 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c7, sk_c2)),
% 0.20/0.53 inference(symmetry,[status(thm)],[53])).
% 0.20/0.53 tff(55,plain,
% 0.20/0.53 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c2), sk_c2) = identity)),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(56,plain,
% 0.20/0.53 (multiply(inverse(sk_c2), sk_c2) = identity),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[55, 18])).
% 0.20/0.53 tff(57,plain,
% 0.20/0.53 (identity = multiply(inverse(sk_c2), sk_c2)),
% 0.20/0.53 inference(symmetry,[status(thm)],[56])).
% 0.20/0.53 tff(58,plain,
% 0.20/0.53 (identity = multiply(sk_c7, sk_c2)),
% 0.20/0.53 inference(transitivity,[status(thm)],[57, 54])).
% 0.20/0.53 tff(59,plain,
% 0.20/0.53 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c2), sk_c7)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[58])).
% 0.20/0.53 tff(60,plain,
% 0.20/0.53 (sk_c7 = multiply(identity, sk_c7)),
% 0.20/0.53 inference(symmetry,[status(thm)],[9])).
% 0.20/0.53 tff(61,plain,
% 0.20/0.53 (sk_c7 = multiply(sk_c7, sk_c6)),
% 0.20/0.53 inference(transitivity,[status(thm)],[60, 59, 50, 41])).
% 0.20/0.53 tff(62,plain,
% 0.20/0.53 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), sk_c7) = multiply(sk_c6, multiply(sk_c7, sk_c7)))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(63,plain,
% 0.20/0.53 (multiply(multiply(sk_c6, sk_c7), sk_c7) = multiply(sk_c6, multiply(sk_c7, sk_c7))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[62, 48])).
% 0.20/0.53 tff(64,plain,
% 0.20/0.53 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c7), sk_c7) = identity)),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(65,plain,
% 0.20/0.53 (multiply(inverse(sk_c7), sk_c7) = identity),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[64, 18])).
% 0.20/0.53 tff(66,assumption,(inverse(sk_c7) = sk_c6), introduced(assumption)).
% 0.20/0.53 tff(67,plain,
% 0.20/0.53 (sk_c6 = inverse(sk_c7)),
% 0.20/0.53 inference(symmetry,[status(thm)],[66])).
% 0.20/0.53 tff(68,plain,
% 0.20/0.53 (multiply(sk_c6, sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[67])).
% 0.20/0.53 tff(69,plain,
% 0.20/0.53 (multiply(sk_c6, sk_c7) = multiply(sk_c7, sk_c2)),
% 0.20/0.53 inference(transitivity,[status(thm)],[68, 65, 57, 54])).
% 0.20/0.53 tff(70,plain,
% 0.20/0.53 (multiply(multiply(sk_c6, sk_c7), sk_c7) = multiply(multiply(sk_c7, sk_c2), sk_c7)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[69])).
% 0.20/0.53 tff(71,plain,
% 0.20/0.53 (multiply(multiply(sk_c7, sk_c2), sk_c7) = multiply(multiply(sk_c6, sk_c7), sk_c7)),
% 0.20/0.53 inference(symmetry,[status(thm)],[70])).
% 0.20/0.53 tff(72,plain,
% 0.20/0.53 (sk_c7 = multiply(sk_c6, multiply(sk_c7, sk_c7))),
% 0.20/0.53 inference(transitivity,[status(thm)],[60, 59, 71, 63])).
% 0.20/0.53 tff(73,plain,
% 0.20/0.53 (multiply(sk_c7, sk_c7) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c7)), multiply(sk_c7, sk_c6))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[72, 61])).
% 0.20/0.53 tff(74,plain,
% 0.20/0.53 (multiply(multiply(sk_c6, multiply(sk_c7, sk_c7)), multiply(sk_c7, sk_c6)) = multiply(sk_c7, sk_c7)),
% 0.20/0.53 inference(symmetry,[status(thm)],[73])).
% 0.20/0.53 tff(75,plain,
% 0.20/0.53 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c7, sk_c7)), multiply(sk_c7, sk_c6)) = multiply(sk_c6, multiply(multiply(sk_c7, sk_c7), multiply(sk_c7, sk_c6))))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(76,plain,
% 0.20/0.53 (multiply(multiply(sk_c6, multiply(sk_c7, sk_c7)), multiply(sk_c7, sk_c6)) = multiply(sk_c6, multiply(multiply(sk_c7, sk_c7), multiply(sk_c7, sk_c6)))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[75, 48])).
% 0.20/0.53 tff(77,plain,
% 0.20/0.53 (multiply(sk_c6, multiply(multiply(sk_c7, sk_c7), multiply(sk_c7, sk_c6))) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c7)), multiply(sk_c7, sk_c6))),
% 0.20/0.53 inference(symmetry,[status(thm)],[76])).
% 0.20/0.53 tff(78,plain,
% 0.20/0.53 (multiply(multiply(sk_c7, sk_c2), sk_c7) = multiply(identity, sk_c7)),
% 0.20/0.53 inference(symmetry,[status(thm)],[59])).
% 0.20/0.53 tff(79,plain,
% 0.20/0.53 (multiply(sk_c6, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c6, sk_c7), sk_c7)),
% 0.20/0.53 inference(symmetry,[status(thm)],[63])).
% 0.20/0.53 tff(80,plain,
% 0.20/0.53 (multiply(sk_c6, multiply(sk_c7, sk_c7)) = sk_c7),
% 0.20/0.53 inference(transitivity,[status(thm)],[79, 70, 78, 9])).
% 0.20/0.53 tff(81,plain,
% 0.20/0.53 (multiply(sk_c7, multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c7, sk_c2), sk_c7)),
% 0.20/0.53 inference(symmetry,[status(thm)],[50])).
% 0.20/0.53 tff(82,plain,
% 0.20/0.53 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c2, sk_c7))),
% 0.20/0.53 inference(symmetry,[status(thm)],[41])).
% 0.20/0.53 tff(83,plain,
% 0.20/0.53 (multiply(sk_c7, sk_c6) = sk_c7),
% 0.20/0.53 inference(transitivity,[status(thm)],[82, 81, 78, 9])).
% 0.20/0.53 tff(84,plain,
% 0.20/0.53 (multiply(multiply(sk_c7, sk_c6), multiply(sk_c6, multiply(sk_c7, sk_c7))) = multiply(sk_c7, sk_c7)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[83, 80])).
% 0.20/0.53 tff(85,plain,
% 0.20/0.53 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c6), sk_c6), multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c7, sk_c6), multiply(sk_c6, multiply(sk_c7, sk_c7))))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(86,plain,
% 0.20/0.53 (multiply(multiply(multiply(sk_c7, sk_c6), sk_c6), multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c7, sk_c6), multiply(sk_c6, multiply(sk_c7, sk_c7)))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[85, 48])).
% 0.20/0.53 tff(87,plain,
% 0.20/0.53 (multiply(multiply(sk_c7, sk_c6), sk_c6) = multiply(sk_c7, sk_c6)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[83])).
% 0.20/0.53 tff(88,plain,
% 0.20/0.53 (multiply(sk_c7, sk_c6) = multiply(multiply(sk_c7, sk_c6), sk_c6)),
% 0.20/0.53 inference(symmetry,[status(thm)],[87])).
% 0.20/0.53 tff(89,plain,
% 0.20/0.53 (sk_c7 = multiply(multiply(sk_c7, sk_c6), sk_c6)),
% 0.20/0.53 inference(transitivity,[status(thm)],[60, 59, 50, 41, 88])).
% 0.20/0.53 tff(90,plain,
% 0.20/0.53 (multiply(sk_c7, multiply(sk_c7, sk_c7)) = multiply(multiply(multiply(sk_c7, sk_c6), sk_c6), multiply(sk_c7, sk_c7))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[89])).
% 0.20/0.53 tff(91,plain,
% 0.20/0.53 (multiply(multiply(sk_c7, sk_c6), multiply(sk_c7, sk_c6)) = multiply(sk_c7, sk_c7)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[83, 83])).
% 0.20/0.53 tff(92,plain,
% 0.20/0.53 (multiply(multiply(sk_c7, sk_c6), multiply(multiply(sk_c7, sk_c6), multiply(sk_c7, sk_c6))) = multiply(sk_c7, multiply(sk_c7, sk_c7))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[83, 91])).
% 0.20/0.53 tff(93,plain,
% 0.20/0.53 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c6), multiply(sk_c7, sk_c6)), multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c7, sk_c6), multiply(multiply(sk_c7, sk_c6), multiply(sk_c7, sk_c6))))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(94,plain,
% 0.20/0.53 (multiply(multiply(multiply(sk_c7, sk_c6), multiply(sk_c7, sk_c6)), multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c7, sk_c6), multiply(multiply(sk_c7, sk_c6), multiply(sk_c7, sk_c6)))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[93, 48])).
% 0.20/0.53 tff(95,plain,
% 0.20/0.53 (multiply(sk_c7, sk_c7) = multiply(multiply(sk_c7, sk_c6), multiply(sk_c7, sk_c6))),
% 0.20/0.53 inference(symmetry,[status(thm)],[91])).
% 0.20/0.53 tff(96,plain,
% 0.20/0.53 (multiply(multiply(sk_c7, sk_c7), sk_c7) = multiply(multiply(multiply(sk_c7, sk_c6), multiply(sk_c7, sk_c6)), multiply(sk_c7, sk_c6))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[95, 61])).
% 0.20/0.53 tff(97,plain,
% 0.20/0.53 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c7, sk_c7), sk_c7)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[83])).
% 0.20/0.53 tff(98,plain,
% 0.20/0.53 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c7, sk_c6)) = multiply(sk_c7, sk_c7)),
% 0.20/0.53 inference(transitivity,[status(thm)],[97, 96, 94, 92, 90, 86, 84])).
% 0.20/0.53 tff(99,plain,
% 0.20/0.53 (multiply(sk_c6, multiply(multiply(sk_c7, sk_c7), multiply(sk_c7, sk_c6))) = multiply(sk_c6, multiply(sk_c7, sk_c7))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[98])).
% 0.20/0.53 tff(100,plain,
% 0.20/0.53 (multiply(sk_c6, multiply(sk_c7, sk_c7)) = multiply(sk_c6, multiply(multiply(sk_c7, sk_c7), multiply(sk_c7, sk_c6)))),
% 0.20/0.53 inference(symmetry,[status(thm)],[99])).
% 0.20/0.53 tff(101,plain,
% 0.20/0.53 (sk_c7 = multiply(sk_c7, sk_c7)),
% 0.20/0.53 inference(transitivity,[status(thm)],[60, 59, 71, 63, 100, 77, 74])).
% 0.20/0.53 tff(102,plain,
% 0.20/0.53 (multiply(sk_c2, sk_c7) = multiply(sk_c2, multiply(sk_c7, sk_c7))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[101])).
% 0.20/0.53 tff(103,plain,
% 0.20/0.53 (multiply(sk_c2, multiply(sk_c7, sk_c7)) = multiply(sk_c2, sk_c7)),
% 0.20/0.53 inference(symmetry,[status(thm)],[102])).
% 0.20/0.53 tff(104,plain,
% 0.20/0.53 (multiply(multiply(sk_c7, sk_c6), multiply(sk_c7, sk_c7)) = multiply(sk_c7, multiply(sk_c7, sk_c7))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[83])).
% 0.20/0.53 tff(105,plain,
% 0.20/0.53 (multiply(sk_c7, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c7, sk_c6), multiply(sk_c7, sk_c7))),
% 0.20/0.53 inference(symmetry,[status(thm)],[104])).
% 0.20/0.53 tff(106,plain,
% 0.20/0.53 (multiply(multiply(multiply(sk_c7, sk_c6), sk_c6), multiply(sk_c7, sk_c7)) = multiply(sk_c7, multiply(sk_c7, sk_c7))),
% 0.20/0.53 inference(symmetry,[status(thm)],[90])).
% 0.20/0.53 tff(107,plain,
% 0.20/0.53 (multiply(multiply(sk_c7, sk_c6), multiply(sk_c6, multiply(sk_c7, sk_c7))) = multiply(multiply(multiply(sk_c7, sk_c6), sk_c6), multiply(sk_c7, sk_c7))),
% 0.20/0.53 inference(symmetry,[status(thm)],[86])).
% 0.20/0.53 tff(108,plain,
% 0.20/0.53 (multiply(sk_c7, sk_c7) = multiply(multiply(sk_c7, sk_c6), multiply(sk_c6, multiply(sk_c7, sk_c7)))),
% 0.20/0.53 inference(symmetry,[status(thm)],[84])).
% 0.20/0.53 tff(109,plain,
% 0.20/0.53 (multiply(sk_c7, sk_c7) = multiply(multiply(sk_c7, sk_c6), multiply(sk_c7, sk_c7))),
% 0.20/0.53 inference(transitivity,[status(thm)],[108, 107, 106, 105])).
% 0.20/0.53 tff(110,plain,
% 0.20/0.53 (multiply(sk_c2, multiply(sk_c7, sk_c7)) = multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), multiply(sk_c7, sk_c7)))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[109])).
% 0.20/0.53 tff(111,plain,
% 0.20/0.53 (multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), multiply(sk_c7, sk_c7))) = multiply(sk_c2, multiply(sk_c7, sk_c7))),
% 0.20/0.53 inference(symmetry,[status(thm)],[110])).
% 0.20/0.53 tff(112,plain,
% 0.20/0.53 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(sk_c7, sk_c6)), multiply(sk_c7, sk_c7)) = multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), multiply(sk_c7, sk_c7))))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(113,plain,
% 0.20/0.53 (multiply(multiply(sk_c2, multiply(sk_c7, sk_c6)), multiply(sk_c7, sk_c7)) = multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), multiply(sk_c7, sk_c7)))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[112, 48])).
% 0.20/0.53 tff(114,plain,
% 0.20/0.53 (multiply(sk_c2, multiply(sk_c7, sk_c6)) = multiply(sk_c2, sk_c7)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[83])).
% 0.20/0.53 tff(115,plain,
% 0.20/0.53 (multiply(sk_c2, multiply(sk_c7, sk_c6)) = sk_c6),
% 0.20/0.53 inference(transitivity,[status(thm)],[114, 40])).
% 0.20/0.53 tff(116,plain,
% 0.20/0.53 (multiply(multiply(sk_c2, multiply(sk_c7, sk_c6)), multiply(sk_c7, sk_c7)) = multiply(sk_c6, multiply(sk_c7, sk_c7))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[115])).
% 0.20/0.53 tff(117,plain,
% 0.20/0.53 (multiply(sk_c6, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c2, multiply(sk_c7, sk_c6)), multiply(sk_c7, sk_c7))),
% 0.20/0.53 inference(symmetry,[status(thm)],[116])).
% 0.20/0.53 tff(118,plain,
% 0.20/0.53 (multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6),
% 0.20/0.53 inference(transitivity,[status(thm)],[81, 71, 63, 117, 113, 111, 103, 40])).
% 0.20/0.53 tff(119,assumption,(~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6)), introduced(assumption)).
% 0.20/0.53 tff(120,plain,
% 0.20/0.53 ($false),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[119, 118])).
% 0.20/0.53 tff(121,plain,((multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c7) = sk_c6))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.53 tff(122,plain,
% 0.20/0.53 (multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[121, 39, 33, 29])).
% 0.20/0.53 tff(123,plain,
% 0.20/0.53 (sk_c7 = inverse(sk_c2)),
% 0.20/0.53 inference(symmetry,[status(thm)],[33])).
% 0.20/0.53 tff(124,plain,
% 0.20/0.53 (multiply(sk_c7, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[123])).
% 0.20/0.53 tff(125,plain,
% 0.20/0.53 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c7, sk_c2)),
% 0.20/0.53 inference(symmetry,[status(thm)],[124])).
% 0.20/0.53 tff(126,plain,
% 0.20/0.53 (identity = multiply(sk_c7, sk_c2)),
% 0.20/0.53 inference(transitivity,[status(thm)],[57, 125])).
% 0.20/0.53 tff(127,plain,
% 0.20/0.53 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c2), sk_c7)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[126])).
% 0.20/0.53 tff(128,plain,
% 0.20/0.53 (sk_c7 = sk_c6),
% 0.20/0.53 inference(transitivity,[status(thm)],[60, 127, 50, 122])).
% 0.20/0.53 tff(129,plain,
% 0.20/0.53 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c2), sk_c7) = multiply(sk_c2, multiply(sk_c2, sk_c7)))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(130,plain,
% 0.20/0.53 (multiply(multiply(sk_c2, sk_c2), sk_c7) = multiply(sk_c2, multiply(sk_c2, sk_c7))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[129, 48])).
% 0.20/0.53 tff(131,plain,
% 0.20/0.53 (multiply(sk_c2, multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c2, sk_c2), sk_c7)),
% 0.20/0.53 inference(symmetry,[status(thm)],[130])).
% 0.20/0.53 tff(132,plain,
% 0.20/0.53 (multiply(sk_c2, multiply(sk_c2, sk_c7)) = multiply(sk_c2, sk_c6)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[39])).
% 0.20/0.53 tff(133,plain,
% 0.20/0.53 (multiply(sk_c2, sk_c6) = multiply(sk_c2, multiply(sk_c2, sk_c7))),
% 0.20/0.53 inference(symmetry,[status(thm)],[132])).
% 0.20/0.53 tff(134,plain,
% 0.20/0.53 (multiply(sk_c2, sk_c6) = multiply(multiply(sk_c2, sk_c2), sk_c7)),
% 0.20/0.53 inference(transitivity,[status(thm)],[133, 131])).
% 0.20/0.53 tff(135,plain,
% 0.20/0.53 ((multiply(sk_c2, sk_c6) = sk_c7) <=> (multiply(multiply(sk_c2, sk_c2), sk_c7) = sk_c6)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[134, 128])).
% 0.20/0.53 tff(136,plain,
% 0.20/0.53 ((multiply(multiply(sk_c2, sk_c2), sk_c7) = sk_c6) <=> (multiply(sk_c2, sk_c6) = sk_c7)),
% 0.20/0.53 inference(symmetry,[status(thm)],[135])).
% 0.20/0.53 tff(137,plain,
% 0.20/0.53 (sk_c6 = multiply(sk_c2, sk_c7)),
% 0.20/0.53 inference(symmetry,[status(thm)],[39])).
% 0.20/0.53 tff(138,plain,
% 0.20/0.53 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c2, sk_c7))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[137])).
% 0.20/0.53 tff(139,plain,
% 0.20/0.53 (multiply(multiply(identity, sk_c7), sk_c6) = multiply(sk_c7, sk_c6)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[9])).
% 0.20/0.53 tff(140,plain,
% 0.20/0.53 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c7), sk_c6) = multiply(identity, multiply(sk_c7, sk_c6)))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(141,plain,
% 0.20/0.53 (multiply(multiply(identity, sk_c7), sk_c6) = multiply(identity, multiply(sk_c7, sk_c6))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[140, 48])).
% 0.20/0.53 tff(142,plain,
% 0.20/0.53 (multiply(identity, multiply(sk_c7, sk_c6)) = multiply(multiply(identity, sk_c7), sk_c6)),
% 0.20/0.53 inference(symmetry,[status(thm)],[141])).
% 0.20/0.53 tff(143,plain,
% 0.20/0.53 (multiply(sk_c7, multiply(sk_c2, sk_c7)) = multiply(sk_c7, sk_c6)),
% 0.20/0.53 inference(symmetry,[status(thm)],[138])).
% 0.20/0.53 tff(144,plain,
% 0.20/0.53 (sk_c6 = multiply(sk_c7, multiply(sk_c2, sk_c7))),
% 0.20/0.53 inference(symmetry,[status(thm)],[122])).
% 0.20/0.53 tff(145,plain,
% 0.20/0.53 (sk_c6 = multiply(sk_c7, sk_c6)),
% 0.20/0.53 inference(transitivity,[status(thm)],[144, 143])).
% 0.20/0.53 tff(146,plain,
% 0.20/0.53 (sk_c6 = inverse(sk_c7)),
% 0.20/0.53 inference(symmetry,[status(thm)],[29])).
% 0.20/0.53 tff(147,plain,
% 0.20/0.53 (multiply(sk_c6, sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[146])).
% 0.20/0.53 tff(148,plain,
% 0.20/0.53 (multiply(sk_c6, sk_c7) = identity),
% 0.20/0.53 inference(transitivity,[status(thm)],[147, 65])).
% 0.20/0.53 tff(149,plain,
% 0.20/0.53 (multiply(multiply(sk_c6, sk_c7), sk_c6) = multiply(identity, multiply(sk_c7, sk_c6))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[148, 145])).
% 0.20/0.53 tff(150,plain,
% 0.20/0.53 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), sk_c6) = multiply(sk_c6, multiply(sk_c7, sk_c6)))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(151,plain,
% 0.20/0.53 (multiply(multiply(sk_c6, sk_c7), sk_c6) = multiply(sk_c6, multiply(sk_c7, sk_c6))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[150, 48])).
% 0.20/0.53 tff(152,plain,
% 0.20/0.53 (multiply(sk_c6, multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c6, sk_c7), sk_c6)),
% 0.20/0.53 inference(symmetry,[status(thm)],[151])).
% 0.20/0.53 tff(153,plain,
% 0.20/0.53 (multiply(multiply(sk_c2, sk_c7), sk_c6) = multiply(sk_c6, multiply(sk_c7, sk_c6))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[39, 145])).
% 0.20/0.53 tff(154,plain,
% 0.20/0.53 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c7), sk_c6) = multiply(sk_c2, multiply(sk_c7, sk_c6)))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(155,plain,
% 0.20/0.53 (multiply(multiply(sk_c2, sk_c7), sk_c6) = multiply(sk_c2, multiply(sk_c7, sk_c6))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[154, 48])).
% 0.20/0.53 tff(156,plain,
% 0.20/0.53 (multiply(sk_c2, multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c2, sk_c7), sk_c6)),
% 0.20/0.53 inference(symmetry,[status(thm)],[155])).
% 0.20/0.53 tff(157,plain,
% 0.20/0.53 (multiply(sk_c2, sk_c6) = multiply(sk_c2, multiply(sk_c7, sk_c6))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[145])).
% 0.20/0.53 tff(158,plain,
% 0.20/0.53 (multiply(multiply(sk_c2, sk_c2), sk_c7) = sk_c6),
% 0.20/0.54 inference(transitivity,[status(thm)],[130, 132, 157, 156, 153, 152, 149, 142, 139, 138, 122])).
% 0.20/0.54 tff(159,plain,
% 0.20/0.54 (multiply(sk_c2, sk_c6) = sk_c7),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[158, 136])).
% 0.20/0.54 tff(160,plain,
% 0.20/0.54 (^[X4: $i, X3: $i, X5: $i, X1: $i] : refl(((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7))))),
% 0.20/0.54 inference(bind,[status(th)],[])).
% 0.20/0.54 tff(161,plain,
% 0.20/0.54 (![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7))) <=> ![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))),
% 0.20/0.54 inference(quant_intro,[status(thm)],[160])).
% 0.20/0.54 tff(162,plain,
% 0.20/0.54 (![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7))) <=> ![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(163,plain,
% 0.20/0.54 (^[X4: $i, X3: $i, X5: $i, X1: $i] : rewrite(((~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7))))),
% 0.20/0.54 inference(bind,[status(th)],[])).
% 0.20/0.54 tff(164,plain,
% 0.20/0.54 (![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6))) <=> ![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))),
% 0.20/0.54 inference(quant_intro,[status(thm)],[163])).
% 0.20/0.54 tff(165,plain,
% 0.20/0.54 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6))) <=> ![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)))),
% 0.20/0.54 inference(elim_unused_vars,[status(thm)],[])).
% 0.20/0.54 tff(166,plain,
% 0.20/0.54 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) <=> ![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)))),
% 0.20/0.54 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.20/0.54 tff(167,plain,
% 0.20/0.54 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) <=> ![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)))),
% 0.20/0.54 inference(transitivity,[status(thm)],[166, 165])).
% 0.20/0.54 tff(168,plain,
% 0.20/0.54 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) <=> ![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))),
% 0.20/0.54 inference(transitivity,[status(thm)],[167, 164])).
% 0.20/0.54 tff(169,plain,
% 0.20/0.54 (^[X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c6))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))) <=> (((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))))), rewrite((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))))), ((((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))) | (~(inverse(X1) = sk_c7))) <=> (((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X1) = sk_c7))))), rewrite((((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X1) = sk_c7))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))), ((((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))) | (~(inverse(X1) = sk_c7))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))))), (((((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) <=> (((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X1, sk_c6) = sk_c7))))), rewrite((((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X1, sk_c6) = sk_c7))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))))), ((((((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X2) = sk_c6))) <=> (((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(sk_c7, X2) = sk_c6))))), rewrite((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(sk_c7, X2) = sk_c6))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))), ((((((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X2) = sk_c6))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))))), (((((((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X2) = sk_c6))) | (~(multiply(X5, sk_c7) = X2))) <=> (((~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X5, sk_c7) = X2))))), rewrite((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X5, sk_c7) = X2))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((((((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X2) = sk_c6))) | (~(multiply(X5, sk_c7) = X2))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))))), ((((((((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X2) = sk_c6))) | (~(multiply(X5, sk_c7) = X2))) | (~(inverse(X5) = sk_c7))) <=> (((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X5) = sk_c7))))), rewrite((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X5) = sk_c7))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))), ((((((((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X2) = sk_c6))) | (~(multiply(X5, sk_c7) = X2))) | (~(inverse(X5) = sk_c7))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))))),
% 0.20/0.54 inference(bind,[status(th)],[])).
% 0.20/0.54 tff(170,plain,
% 0.20/0.54 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X2) = sk_c6))) | (~(multiply(X5, sk_c7) = X2))) | (~(inverse(X5) = sk_c7))) <=> ![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 0.20/0.54 inference(quant_intro,[status(thm)],[169])).
% 0.20/0.54 tff(171,plain,
% 0.20/0.54 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X2) = sk_c6))) | (~(multiply(X5, sk_c7) = X2))) | (~(inverse(X5) = sk_c7))) <=> ![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))),
% 0.20/0.54 inference(transitivity,[status(thm)],[170, 168])).
% 0.20/0.54 tff(172,axiom,(![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X2) = sk_c6))) | (~(multiply(X5, sk_c7) = X2))) | (~(inverse(X5) = sk_c7)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_21')).
% 0.20/0.55 tff(173,plain,
% 0.20/0.55 (![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[172, 171])).
% 0.20/0.55 tff(174,plain,
% 0.20/0.55 (![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[173, 162])).
% 0.20/0.55 tff(175,plain,(
% 0.20/0.55 ![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))),
% 0.20/0.55 inference(skolemize,[status(sab)],[174])).
% 0.20/0.55 tff(176,plain,
% 0.20/0.55 (![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[175, 161])).
% 0.20/0.55 tff(177,plain,
% 0.20/0.55 (((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(178,plain,
% 0.20/0.55 (((multiply(sk_c1, sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(179,axiom,((multiply(sk_c1, sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_6')).
% 0.20/0.55 tff(180,plain,
% 0.20/0.55 ((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[179, 178])).
% 0.20/0.55 tff(181,plain,
% 0.20/0.55 ((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[180, 177])).
% 0.20/0.55 tff(182,plain,
% 0.20/0.55 (multiply(sk_c1, sk_c7) = sk_c6),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[181, 21])).
% 0.20/0.55 tff(183,plain,
% 0.20/0.55 (((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6)))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(184,plain,
% 0.20/0.55 (((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c7))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6)))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(185,plain,
% 0.20/0.55 (((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6))))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[184])).
% 0.20/0.55 tff(186,plain,
% 0.20/0.55 (((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6)))),
% 0.20/0.55 inference(transitivity,[status(thm)],[185, 183])).
% 0.20/0.55 tff(187,plain,
% 0.20/0.55 ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c7)))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(188,plain,
% 0.20/0.55 ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[187, 186])).
% 0.20/0.55 tff(189,plain,
% 0.20/0.55 ((~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[188, 29, 182, 39, 33, 176])).
% 0.20/0.55 tff(190,plain,
% 0.20/0.55 (~(multiply(sk_c2, sk_c6) = sk_c7)),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[189, 122])).
% 0.20/0.55 tff(191,plain,
% 0.20/0.55 ($false),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[190, 159])).
% 0.20/0.55 tff(192,plain,(inverse(sk_c3) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 0.20/0.55 tff(193,plain,
% 0.20/0.55 (sk_c7 = inverse(sk_c3)),
% 0.20/0.55 inference(symmetry,[status(thm)],[192])).
% 0.20/0.55 tff(194,plain,
% 0.20/0.55 (multiply(sk_c7, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[193])).
% 0.20/0.55 tff(195,plain,
% 0.20/0.55 (multiply(sk_c7, sk_c3) = identity),
% 0.20/0.55 inference(transitivity,[status(thm)],[194, 20])).
% 0.20/0.55 tff(196,plain,
% 0.20/0.55 (multiply(multiply(sk_c7, sk_c3), sk_c2) = multiply(identity, sk_c2)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[195])).
% 0.20/0.55 tff(197,plain,
% 0.20/0.55 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c3), sk_c2) = multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(198,plain,
% 0.20/0.55 (multiply(multiply(sk_c7, sk_c3), sk_c2) = multiply(sk_c7, multiply(sk_c3, sk_c2))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[197, 48])).
% 0.20/0.55 tff(199,plain,
% 0.20/0.55 (multiply(sk_c7, multiply(sk_c3, sk_c2)) = multiply(multiply(sk_c7, sk_c3), sk_c2)),
% 0.20/0.55 inference(symmetry,[status(thm)],[198])).
% 0.20/0.55 tff(200,plain,
% 0.20/0.55 (multiply(sk_c7, multiply(sk_c3, sk_c2)) = sk_c2),
% 0.20/0.55 inference(transitivity,[status(thm)],[199, 196, 11])).
% 0.20/0.55 tff(201,assumption,(~(inverse(sk_c2) = sk_c7)), introduced(assumption)).
% 0.20/0.55 tff(202,plain,
% 0.20/0.55 (((inverse(sk_c2) = sk_c7) | (multiply(sk_c7, sk_c5) = sk_c6)) <=> ((inverse(sk_c2) = sk_c7) | (multiply(sk_c7, sk_c5) = sk_c6))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(203,axiom,((inverse(sk_c2) = sk_c7) | (multiply(sk_c7, sk_c5) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_18')).
% 0.20/0.55 tff(204,plain,
% 0.20/0.55 ((inverse(sk_c2) = sk_c7) | (multiply(sk_c7, sk_c5) = sk_c6)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[203, 202])).
% 0.20/0.55 tff(205,plain,
% 0.20/0.55 (multiply(sk_c7, sk_c5) = sk_c6),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[204, 201])).
% 0.20/0.55 tff(206,plain,
% 0.20/0.55 (((inverse(sk_c2) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c5)) <=> ((inverse(sk_c2) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c5))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(207,axiom,((inverse(sk_c2) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_19')).
% 0.20/0.55 tff(208,plain,
% 0.20/0.55 ((inverse(sk_c2) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c5)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[207, 206])).
% 0.20/0.55 tff(209,plain,
% 0.20/0.55 (multiply(sk_c4, sk_c7) = sk_c5),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[208, 201])).
% 0.20/0.55 tff(210,plain,
% 0.20/0.55 (sk_c5 = multiply(sk_c4, sk_c7)),
% 0.20/0.55 inference(symmetry,[status(thm)],[209])).
% 0.20/0.55 tff(211,plain,
% 0.20/0.55 (multiply(sk_c7, sk_c5) = multiply(sk_c7, multiply(sk_c4, sk_c7))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[210])).
% 0.20/0.55 tff(212,plain,
% 0.20/0.55 (multiply(sk_c7, multiply(sk_c4, sk_c7)) = multiply(sk_c7, sk_c5)),
% 0.20/0.55 inference(symmetry,[status(thm)],[211])).
% 0.20/0.55 tff(213,plain,
% 0.20/0.55 ((~![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)))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(214,plain,
% 0.20/0.55 (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(sk_c7, multiply(sk_c4, sk_c7))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[213, 48])).
% 0.20/0.55 tff(215,plain,
% 0.20/0.55 (((inverse(sk_c2) = sk_c7) | (inverse(sk_c4) = sk_c7)) <=> ((inverse(sk_c2) = sk_c7) | (inverse(sk_c4) = sk_c7))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(216,axiom,((inverse(sk_c2) = sk_c7) | (inverse(sk_c4) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_20')).
% 0.20/0.55 tff(217,plain,
% 0.20/0.55 ((inverse(sk_c2) = sk_c7) | (inverse(sk_c4) = sk_c7)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[216, 215])).
% 0.20/0.55 tff(218,plain,
% 0.20/0.55 (inverse(sk_c4) = sk_c7),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[217, 201])).
% 0.20/0.55 tff(219,plain,
% 0.20/0.55 (sk_c7 = inverse(sk_c4)),
% 0.20/0.55 inference(symmetry,[status(thm)],[218])).
% 0.20/0.55 tff(220,plain,
% 0.20/0.55 (multiply(sk_c7, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[219])).
% 0.20/0.55 tff(221,plain,
% 0.20/0.55 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c7, sk_c4)),
% 0.20/0.55 inference(symmetry,[status(thm)],[220])).
% 0.20/0.55 tff(222,plain,
% 0.20/0.55 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c4), sk_c4) = identity)),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(223,plain,
% 0.20/0.55 (multiply(inverse(sk_c4), sk_c4) = identity),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[222, 18])).
% 0.20/0.55 tff(224,plain,
% 0.20/0.55 (identity = multiply(inverse(sk_c4), sk_c4)),
% 0.20/0.55 inference(symmetry,[status(thm)],[223])).
% 0.20/0.55 tff(225,plain,
% 0.20/0.55 (identity = multiply(sk_c7, sk_c4)),
% 0.20/0.55 inference(transitivity,[status(thm)],[224, 221])).
% 0.20/0.55 tff(226,plain,
% 0.20/0.55 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c4), sk_c7)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[225])).
% 0.20/0.55 tff(227,plain,
% 0.20/0.55 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c3) = sk_c3)),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(228,plain,
% 0.20/0.55 (multiply(identity, sk_c3) = sk_c3),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[227, 7])).
% 0.20/0.55 tff(229,plain,
% 0.20/0.55 (multiply(identity, sk_c3) = multiply(multiply(sk_c7, sk_c4), sk_c3)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[225])).
% 0.20/0.55 tff(230,plain,
% 0.20/0.55 (multiply(multiply(sk_c7, sk_c4), sk_c3) = multiply(identity, sk_c3)),
% 0.20/0.55 inference(symmetry,[status(thm)],[229])).
% 0.20/0.55 tff(231,plain,
% 0.20/0.55 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c4), sk_c3) = multiply(sk_c7, multiply(sk_c4, sk_c3)))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(232,plain,
% 0.20/0.55 (multiply(multiply(sk_c7, sk_c4), sk_c3) = multiply(sk_c7, multiply(sk_c4, sk_c3))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[231, 48])).
% 0.20/0.55 tff(233,plain,
% 0.20/0.55 (multiply(sk_c7, multiply(sk_c4, sk_c3)) = multiply(multiply(sk_c7, sk_c4), sk_c3)),
% 0.20/0.55 inference(symmetry,[status(thm)],[232])).
% 0.20/0.55 tff(234,plain,
% 0.20/0.55 (sk_c7 = sk_c6),
% 0.20/0.55 inference(transitivity,[status(thm)],[60, 226, 214, 212, 205])).
% 0.20/0.55 tff(235,plain,
% 0.20/0.55 (multiply(sk_c3, sk_c7) = multiply(sk_c3, sk_c6)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[234])).
% 0.20/0.55 tff(236,plain,
% 0.20/0.55 (multiply(sk_c3, sk_c6) = multiply(sk_c3, sk_c7)),
% 0.20/0.55 inference(symmetry,[status(thm)],[235])).
% 0.20/0.55 tff(237,plain,
% 0.20/0.55 (((inverse(sk_c2) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((inverse(sk_c2) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(238,axiom,((inverse(sk_c2) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_17')).
% 0.20/0.55 tff(239,plain,
% 0.20/0.55 ((inverse(sk_c2) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[238, 237])).
% 0.20/0.55 tff(240,plain,
% 0.20/0.55 (multiply(sk_c3, sk_c6) = sk_c7),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[239, 201])).
% 0.20/0.55 tff(241,plain,
% 0.20/0.55 (sk_c7 = multiply(sk_c3, sk_c6)),
% 0.20/0.55 inference(symmetry,[status(thm)],[240])).
% 0.20/0.55 tff(242,plain,
% 0.20/0.55 (sk_c7 = multiply(sk_c3, sk_c7)),
% 0.20/0.55 inference(transitivity,[status(thm)],[241, 236])).
% 0.20/0.55 tff(243,plain,
% 0.20/0.55 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(sk_c3, sk_c7))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[242])).
% 0.20/0.55 tff(244,plain,
% 0.20/0.55 (multiply(sk_c7, multiply(sk_c3, sk_c7)) = multiply(sk_c7, sk_c7)),
% 0.20/0.55 inference(symmetry,[status(thm)],[243])).
% 0.20/0.55 tff(245,plain,
% 0.20/0.55 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c3), sk_c7) = multiply(sk_c7, multiply(sk_c3, sk_c7)))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(246,plain,
% 0.20/0.55 (multiply(multiply(sk_c7, sk_c3), sk_c7) = multiply(sk_c7, multiply(sk_c3, sk_c7))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[245, 48])).
% 0.20/0.55 tff(247,plain,
% 0.20/0.55 (multiply(sk_c7, sk_c3) = multiply(sk_c7, sk_c4)),
% 0.20/0.55 inference(transitivity,[status(thm)],[194, 20, 224, 221])).
% 0.20/0.55 tff(248,plain,
% 0.20/0.55 (multiply(multiply(sk_c7, sk_c3), sk_c7) = multiply(multiply(sk_c7, sk_c4), sk_c7)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[247])).
% 0.20/0.55 tff(249,plain,
% 0.20/0.55 (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(multiply(sk_c7, sk_c3), sk_c7)),
% 0.20/0.55 inference(symmetry,[status(thm)],[248])).
% 0.20/0.55 tff(250,plain,
% 0.20/0.55 (sk_c7 = multiply(sk_c7, sk_c7)),
% 0.20/0.55 inference(transitivity,[status(thm)],[60, 226, 249, 246, 244])).
% 0.20/0.55 tff(251,plain,
% 0.20/0.55 (multiply(sk_c7, multiply(sk_c4, sk_c3)) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c4, sk_c3))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[250])).
% 0.20/0.55 tff(252,plain,
% 0.20/0.55 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c4, sk_c3)) = multiply(sk_c7, multiply(sk_c4, sk_c3))),
% 0.20/0.55 inference(symmetry,[status(thm)],[251])).
% 0.20/0.55 tff(253,plain,
% 0.20/0.55 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), multiply(sk_c4, sk_c3)) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c4, sk_c3))))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(254,plain,
% 0.20/0.55 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c4, sk_c3)) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c4, sk_c3)))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[253, 48])).
% 0.20/0.55 tff(255,plain,
% 0.20/0.55 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c4, sk_c3))) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c4, sk_c3))),
% 0.20/0.55 inference(symmetry,[status(thm)],[254])).
% 0.20/0.55 tff(256,plain,
% 0.20/0.55 (multiply(sk_c7, multiply(sk_c4, sk_c3)) = sk_c3),
% 0.20/0.55 inference(transitivity,[status(thm)],[233, 230, 228])).
% 0.20/0.55 tff(257,plain,
% 0.20/0.55 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c4, sk_c3))) = multiply(inverse(sk_c3), sk_c3)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[193, 256])).
% 0.20/0.55 tff(258,plain,
% 0.20/0.55 (multiply(inverse(sk_c3), sk_c3) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c4, sk_c3)))),
% 0.20/0.55 inference(symmetry,[status(thm)],[257])).
% 0.20/0.55 tff(259,plain,
% 0.20/0.55 (identity = multiply(inverse(sk_c3), sk_c3)),
% 0.20/0.55 inference(symmetry,[status(thm)],[20])).
% 0.20/0.55 tff(260,plain,
% 0.20/0.55 (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(identity, sk_c7)),
% 0.20/0.55 inference(symmetry,[status(thm)],[226])).
% 0.20/0.55 tff(261,plain,
% 0.20/0.55 (multiply(sk_c7, multiply(sk_c3, sk_c7)) = multiply(multiply(sk_c7, sk_c3), sk_c7)),
% 0.20/0.55 inference(symmetry,[status(thm)],[246])).
% 0.20/0.55 tff(262,plain,
% 0.20/0.55 (multiply(sk_c7, sk_c7) = sk_c7),
% 0.20/0.55 inference(transitivity,[status(thm)],[243, 261, 248, 260, 9])).
% 0.20/0.55 tff(263,plain,
% 0.20/0.55 (multiply(inverse(sk_c7), multiply(sk_c7, sk_c7)) = multiply(inverse(sk_c7), sk_c7)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[262])).
% 0.20/0.55 tff(264,plain,
% 0.20/0.55 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c7), sk_c7), sk_c7) = multiply(inverse(sk_c7), multiply(sk_c7, sk_c7)))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(265,plain,
% 0.20/0.55 (multiply(multiply(inverse(sk_c7), sk_c7), sk_c7) = multiply(inverse(sk_c7), multiply(sk_c7, sk_c7))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[264, 48])).
% 0.20/0.55 tff(266,plain,
% 0.20/0.55 (identity = multiply(inverse(sk_c7), sk_c7)),
% 0.20/0.55 inference(symmetry,[status(thm)],[65])).
% 0.20/0.55 tff(267,plain,
% 0.20/0.55 (multiply(sk_c7, sk_c4) = multiply(inverse(sk_c7), sk_c7)),
% 0.20/0.55 inference(transitivity,[status(thm)],[220, 223, 266])).
% 0.20/0.55 tff(268,plain,
% 0.20/0.55 (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(multiply(inverse(sk_c7), sk_c7), sk_c7)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[267])).
% 0.20/0.55 tff(269,plain,
% 0.20/0.55 (sk_c7 = sk_c3),
% 0.20/0.55 inference(transitivity,[status(thm)],[60, 226, 268, 265, 263, 65, 259, 258, 255, 252, 233, 230, 228])).
% 0.20/0.55 tff(270,plain,
% 0.20/0.55 (inverse(sk_c7) = inverse(sk_c3)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[269])).
% 0.20/0.55 tff(271,plain,
% 0.20/0.55 (inverse(sk_c7) = sk_c6),
% 0.20/0.55 inference(transitivity,[status(thm)],[270, 192, 60, 226, 214, 212, 205])).
% 0.20/0.55 tff(272,plain,
% 0.20/0.55 (multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6),
% 0.20/0.55 inference(transitivity,[status(thm)],[261, 248, 214, 212, 205])).
% 0.20/0.55 tff(273,plain,
% 0.20/0.55 (multiply(sk_c3, sk_c7) = sk_c6),
% 0.20/0.55 inference(transitivity,[status(thm)],[235, 240, 60, 226, 214, 212, 205])).
% 0.20/0.55 tff(274,plain,
% 0.20/0.55 (((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(275,plain,
% 0.20/0.56 (((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c7))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(276,plain,
% 0.20/0.56 (((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6)) | (~(inverse(sk_c3) = sk_c7))))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[275])).
% 0.20/0.56 tff(277,plain,
% 0.20/0.56 (((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)))),
% 0.20/0.56 inference(transitivity,[status(thm)],[276, 274])).
% 0.20/0.56 tff(278,plain,
% 0.20/0.56 ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)))),
% 0.20/0.56 inference(quant_inst,[status(thm)],[])).
% 0.20/0.56 tff(279,plain,
% 0.20/0.56 ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6)) | (~(inverse(sk_c3) = sk_c7))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[278, 277])).
% 0.20/0.56 tff(280,plain,
% 0.20/0.56 ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[279, 192, 240, 176])).
% 0.20/0.56 tff(281,plain,
% 0.20/0.56 (~(inverse(sk_c7) = sk_c6)),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[280, 273, 272])).
% 0.20/0.56 tff(282,plain,
% 0.20/0.56 ($false),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[281, 271])).
% 0.20/0.56 tff(283,plain,(inverse(sk_c2) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 0.20/0.56 tff(284,plain,
% 0.20/0.56 (sk_c7 = inverse(sk_c2)),
% 0.20/0.56 inference(symmetry,[status(thm)],[283])).
% 0.20/0.56 tff(285,plain,
% 0.20/0.56 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, sk_c2))) = multiply(inverse(sk_c2), sk_c2)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[284, 200])).
% 0.20/0.56 tff(286,plain,
% 0.20/0.56 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 0.20/0.56 inference(symmetry,[status(thm)],[285])).
% 0.20/0.56 tff(287,plain,
% 0.20/0.56 (identity = multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 0.20/0.56 inference(transitivity,[status(thm)],[57, 286])).
% 0.20/0.56 tff(288,plain,
% 0.20/0.56 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, sk_c2))), sk_c7)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[287])).
% 0.20/0.56 tff(289,plain,
% 0.20/0.56 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, sk_c2))), sk_c7) = multiply(identity, sk_c7)),
% 0.20/0.56 inference(symmetry,[status(thm)],[288])).
% 0.20/0.56 tff(290,plain,
% 0.20/0.56 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, sk_c2))), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7)))),
% 0.20/0.56 inference(quant_inst,[status(thm)],[])).
% 0.20/0.56 tff(291,plain,
% 0.20/0.56 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, sk_c2))), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[290, 48])).
% 0.20/0.56 tff(292,plain,
% 0.20/0.56 (multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, sk_c2))), sk_c7)),
% 0.20/0.56 inference(symmetry,[status(thm)],[291])).
% 0.20/0.56 tff(293,assumption,(~(multiply(sk_c2, sk_c7) = sk_c6)), introduced(assumption)).
% 0.20/0.56 tff(294,plain,
% 0.20/0.56 (((multiply(sk_c2, sk_c7) = sk_c6) | (multiply(sk_c7, sk_c5) = sk_c6)) <=> ((multiply(sk_c2, sk_c7) = sk_c6) | (multiply(sk_c7, sk_c5) = sk_c6))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(295,axiom,((multiply(sk_c2, sk_c7) = sk_c6) | (multiply(sk_c7, sk_c5) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_13')).
% 0.20/0.56 tff(296,plain,
% 0.20/0.56 ((multiply(sk_c2, sk_c7) = sk_c6) | (multiply(sk_c7, sk_c5) = sk_c6)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[295, 294])).
% 0.20/0.56 tff(297,plain,
% 0.20/0.56 (multiply(sk_c7, sk_c5) = sk_c6),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[296, 293])).
% 0.20/0.56 tff(298,plain,
% 0.20/0.56 (((multiply(sk_c2, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c7) = sk_c5)) <=> ((multiply(sk_c2, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c7) = sk_c5))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(299,axiom,((multiply(sk_c2, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c7) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_14')).
% 0.20/0.56 tff(300,plain,
% 0.20/0.56 ((multiply(sk_c2, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c7) = sk_c5)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[299, 298])).
% 0.20/0.56 tff(301,plain,
% 0.20/0.56 (multiply(sk_c4, sk_c7) = sk_c5),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[300, 293])).
% 0.20/0.56 tff(302,plain,
% 0.20/0.56 (sk_c5 = multiply(sk_c4, sk_c7)),
% 0.20/0.56 inference(symmetry,[status(thm)],[301])).
% 0.20/0.56 tff(303,plain,
% 0.20/0.56 (multiply(sk_c7, sk_c5) = multiply(sk_c7, multiply(sk_c4, sk_c7))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[302])).
% 0.20/0.56 tff(304,plain,
% 0.20/0.56 (multiply(sk_c7, multiply(sk_c4, sk_c7)) = multiply(sk_c7, sk_c5)),
% 0.20/0.56 inference(symmetry,[status(thm)],[303])).
% 0.20/0.56 tff(305,assumption,(~(inverse(sk_c4) = sk_c7)), introduced(assumption)).
% 0.20/0.56 tff(306,plain,
% 0.20/0.56 (((inverse(sk_c4) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c6)) <=> ((inverse(sk_c4) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c6))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(307,plain,
% 0.20/0.56 (((multiply(sk_c2, sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7)) <=> ((inverse(sk_c4) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c6))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(308,axiom,((multiply(sk_c2, sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_15')).
% 0.20/0.56 tff(309,plain,
% 0.20/0.56 ((inverse(sk_c4) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c6)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[308, 307])).
% 0.20/0.56 tff(310,plain,
% 0.20/0.56 ((inverse(sk_c4) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c6)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[309, 306])).
% 0.20/0.56 tff(311,plain,
% 0.20/0.56 (multiply(sk_c2, sk_c7) = sk_c6),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[310, 305])).
% 0.20/0.56 tff(312,assumption,(~(inverse(sk_c7) = sk_c6)), introduced(assumption)).
% 0.20/0.56 tff(313,plain,
% 0.20/0.56 (((inverse(sk_c7) = sk_c6) | (multiply(sk_c7, sk_c5) = sk_c6)) <=> ((inverse(sk_c7) = sk_c6) | (multiply(sk_c7, sk_c5) = sk_c6))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(314,axiom,((inverse(sk_c7) = sk_c6) | (multiply(sk_c7, sk_c5) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_3')).
% 0.20/0.56 tff(315,plain,
% 0.20/0.56 ((inverse(sk_c7) = sk_c6) | (multiply(sk_c7, sk_c5) = sk_c6)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[314, 313])).
% 0.20/0.56 tff(316,plain,
% 0.20/0.56 (multiply(sk_c7, sk_c5) = sk_c6),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[315, 312])).
% 0.20/0.56 tff(317,plain,
% 0.20/0.56 (((inverse(sk_c7) = sk_c6) | (multiply(sk_c4, sk_c7) = sk_c5)) <=> ((inverse(sk_c7) = sk_c6) | (multiply(sk_c4, sk_c7) = sk_c5))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(318,axiom,((inverse(sk_c7) = sk_c6) | (multiply(sk_c4, sk_c7) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_4')).
% 0.20/0.56 tff(319,plain,
% 0.20/0.56 ((inverse(sk_c7) = sk_c6) | (multiply(sk_c4, sk_c7) = sk_c5)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[318, 317])).
% 0.20/0.56 tff(320,plain,
% 0.20/0.56 (multiply(sk_c4, sk_c7) = sk_c5),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[319, 312])).
% 0.20/0.56 tff(321,plain,
% 0.20/0.56 (sk_c5 = multiply(sk_c4, sk_c7)),
% 0.20/0.56 inference(symmetry,[status(thm)],[320])).
% 0.20/0.56 tff(322,plain,
% 0.20/0.56 (multiply(sk_c7, sk_c5) = multiply(sk_c7, multiply(sk_c4, sk_c7))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[321])).
% 0.20/0.56 tff(323,plain,
% 0.20/0.56 (multiply(sk_c7, multiply(sk_c4, sk_c7)) = multiply(sk_c7, sk_c5)),
% 0.20/0.56 inference(symmetry,[status(thm)],[322])).
% 0.20/0.56 tff(324,plain,
% 0.20/0.56 (((inverse(sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7)) <=> ((inverse(sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(325,axiom,((inverse(sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_5')).
% 0.20/0.56 tff(326,plain,
% 0.20/0.56 ((inverse(sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[325, 324])).
% 0.20/0.56 tff(327,plain,
% 0.20/0.56 ((inverse(sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[326, 324])).
% 0.20/0.56 tff(328,plain,
% 0.20/0.56 ((inverse(sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[327, 324])).
% 0.20/0.56 tff(329,plain,
% 0.20/0.56 ((inverse(sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[328, 324])).
% 0.20/0.56 tff(330,plain,
% 0.20/0.56 ((inverse(sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[329, 324])).
% 0.20/0.56 tff(331,plain,
% 0.20/0.56 (inverse(sk_c4) = sk_c7),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[330, 312])).
% 0.20/0.56 tff(332,plain,
% 0.20/0.56 (sk_c7 = inverse(sk_c4)),
% 0.20/0.56 inference(symmetry,[status(thm)],[331])).
% 0.20/0.56 tff(333,plain,
% 0.20/0.56 (multiply(sk_c7, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[332])).
% 0.20/0.56 tff(334,plain,
% 0.20/0.56 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c7, sk_c4)),
% 0.20/0.56 inference(symmetry,[status(thm)],[333])).
% 0.20/0.56 tff(335,plain,
% 0.20/0.56 (identity = multiply(sk_c7, sk_c4)),
% 0.20/0.56 inference(transitivity,[status(thm)],[224, 334])).
% 0.20/0.56 tff(336,plain,
% 0.20/0.56 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c4), sk_c7)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[335])).
% 0.20/0.56 tff(337,plain,
% 0.20/0.56 (multiply(identity, sk_c3) = multiply(multiply(sk_c7, sk_c4), sk_c3)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[335])).
% 0.20/0.56 tff(338,plain,
% 0.20/0.56 (multiply(multiply(sk_c7, sk_c4), sk_c3) = multiply(identity, sk_c3)),
% 0.20/0.56 inference(symmetry,[status(thm)],[337])).
% 0.20/0.56 tff(339,plain,
% 0.20/0.56 (sk_c7 = sk_c6),
% 0.20/0.56 inference(transitivity,[status(thm)],[60, 336, 214, 323, 316])).
% 0.20/0.56 tff(340,plain,
% 0.20/0.56 (multiply(sk_c3, sk_c7) = multiply(sk_c3, sk_c6)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[339])).
% 0.20/0.56 tff(341,plain,
% 0.20/0.56 (multiply(sk_c3, sk_c6) = multiply(sk_c3, sk_c7)),
% 0.20/0.56 inference(symmetry,[status(thm)],[340])).
% 0.20/0.56 tff(342,plain,
% 0.20/0.56 (((inverse(sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((inverse(sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(343,axiom,((inverse(sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_2')).
% 0.20/0.56 tff(344,plain,
% 0.20/0.56 ((inverse(sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[343, 342])).
% 0.20/0.56 tff(345,plain,
% 0.20/0.56 (multiply(sk_c3, sk_c6) = sk_c7),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[344, 312])).
% 0.20/0.56 tff(346,plain,
% 0.20/0.56 (sk_c7 = multiply(sk_c3, sk_c6)),
% 0.20/0.56 inference(symmetry,[status(thm)],[345])).
% 0.20/0.56 tff(347,plain,
% 0.20/0.56 (sk_c7 = multiply(sk_c3, sk_c7)),
% 0.20/0.56 inference(transitivity,[status(thm)],[346, 341])).
% 0.20/0.56 tff(348,plain,
% 0.20/0.56 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(sk_c3, sk_c7))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[347])).
% 0.20/0.56 tff(349,plain,
% 0.20/0.56 (multiply(sk_c7, multiply(sk_c3, sk_c7)) = multiply(sk_c7, sk_c7)),
% 0.20/0.56 inference(symmetry,[status(thm)],[348])).
% 0.20/0.56 tff(350,plain,
% 0.20/0.56 (multiply(sk_c7, sk_c3) = multiply(sk_c7, sk_c4)),
% 0.20/0.56 inference(transitivity,[status(thm)],[194, 20, 224, 334])).
% 0.20/0.56 tff(351,plain,
% 0.20/0.56 (multiply(multiply(sk_c7, sk_c3), sk_c7) = multiply(multiply(sk_c7, sk_c4), sk_c7)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[350])).
% 0.20/0.56 tff(352,plain,
% 0.20/0.56 (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(multiply(sk_c7, sk_c3), sk_c7)),
% 0.20/0.56 inference(symmetry,[status(thm)],[351])).
% 0.20/0.56 tff(353,plain,
% 0.20/0.56 (sk_c7 = multiply(sk_c7, sk_c7)),
% 0.20/0.56 inference(transitivity,[status(thm)],[60, 336, 352, 246, 349])).
% 0.20/0.56 tff(354,plain,
% 0.20/0.56 (multiply(sk_c7, multiply(sk_c4, sk_c3)) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c4, sk_c3))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[353])).
% 0.20/0.56 tff(355,plain,
% 0.20/0.56 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c4, sk_c3)) = multiply(sk_c7, multiply(sk_c4, sk_c3))),
% 0.20/0.56 inference(symmetry,[status(thm)],[354])).
% 0.20/0.56 tff(356,plain,
% 0.20/0.56 (multiply(sk_c7, multiply(sk_c4, sk_c3)) = sk_c3),
% 0.20/0.56 inference(transitivity,[status(thm)],[233, 338, 228])).
% 0.20/0.56 tff(357,plain,
% 0.20/0.56 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c4, sk_c3))) = multiply(inverse(sk_c3), sk_c3)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[193, 356])).
% 0.20/0.56 tff(358,plain,
% 0.20/0.56 (multiply(inverse(sk_c3), sk_c3) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c4, sk_c3)))),
% 0.20/0.56 inference(symmetry,[status(thm)],[357])).
% 0.20/0.56 tff(359,plain,
% 0.20/0.56 (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(identity, sk_c7)),
% 0.20/0.56 inference(symmetry,[status(thm)],[336])).
% 0.20/0.56 tff(360,plain,
% 0.20/0.56 (multiply(sk_c7, sk_c7) = sk_c7),
% 0.20/0.56 inference(transitivity,[status(thm)],[348, 261, 351, 359, 9])).
% 0.20/0.56 tff(361,plain,
% 0.20/0.56 (multiply(inverse(sk_c7), multiply(sk_c7, sk_c7)) = multiply(inverse(sk_c7), sk_c7)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[360])).
% 0.20/0.56 tff(362,plain,
% 0.20/0.56 (multiply(sk_c7, sk_c4) = multiply(inverse(sk_c7), sk_c7)),
% 0.20/0.56 inference(transitivity,[status(thm)],[333, 223, 266])).
% 0.20/0.56 tff(363,plain,
% 0.20/0.56 (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(multiply(inverse(sk_c7), sk_c7), sk_c7)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[362])).
% 0.20/0.56 tff(364,plain,
% 0.20/0.56 (sk_c7 = sk_c3),
% 0.20/0.56 inference(transitivity,[status(thm)],[60, 336, 363, 265, 361, 65, 259, 358, 255, 355, 233, 338, 228])).
% 0.20/0.56 tff(365,plain,
% 0.20/0.56 (inverse(sk_c7) = inverse(sk_c3)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[364])).
% 0.20/0.56 tff(366,plain,
% 0.20/0.56 (inverse(sk_c7) = sk_c6),
% 0.20/0.56 inference(transitivity,[status(thm)],[365, 192, 60, 336, 214, 323, 316])).
% 0.20/0.56 tff(367,plain,
% 0.20/0.56 ($false),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[312, 366])).
% 0.20/0.56 tff(368,plain,(inverse(sk_c7) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 0.20/0.56 tff(369,plain,
% 0.20/0.56 ((multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c6))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[121, 283])).
% 0.20/0.56 tff(370,plain,
% 0.20/0.56 ((multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6) | (~(multiply(sk_c2, sk_c7) = sk_c6))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[369, 368])).
% 0.20/0.56 tff(371,plain,
% 0.20/0.56 (multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[370, 311])).
% 0.20/0.56 tff(372,plain,
% 0.20/0.56 ((sk_c7 = inverse(sk_c7)) <=> (inverse(sk_c7) = sk_c7)),
% 0.20/0.56 inference(commutativity,[status(thm)],[])).
% 0.20/0.56 tff(373,plain,
% 0.20/0.56 (sk_c6 = inverse(sk_c7)),
% 0.20/0.56 inference(symmetry,[status(thm)],[368])).
% 0.20/0.56 tff(374,plain,
% 0.20/0.56 (multiply(multiply(sk_c7, sk_c3), sk_c7) = multiply(identity, sk_c7)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[195])).
% 0.20/0.56 tff(375,plain,
% 0.20/0.56 (multiply(inverse(sk_c3), sk_c3) = multiply(sk_c7, sk_c3)),
% 0.20/0.56 inference(symmetry,[status(thm)],[194])).
% 0.20/0.56 tff(376,plain,
% 0.20/0.56 (multiply(sk_c7, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[284])).
% 0.20/0.56 tff(377,plain,
% 0.20/0.56 (multiply(sk_c7, sk_c2) = multiply(sk_c7, sk_c3)),
% 0.20/0.56 inference(transitivity,[status(thm)],[376, 56, 259, 375])).
% 0.20/0.56 tff(378,plain,
% 0.20/0.56 (multiply(multiply(sk_c7, sk_c2), sk_c7) = multiply(multiply(sk_c7, sk_c3), sk_c7)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[377])).
% 0.20/0.56 tff(379,plain,
% 0.20/0.56 (multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c7),
% 0.20/0.56 inference(transitivity,[status(thm)],[81, 378, 374, 9])).
% 0.20/0.56 tff(380,plain,
% 0.20/0.56 ((multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6) <=> (sk_c7 = inverse(sk_c7))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[379, 373])).
% 0.20/0.56 tff(381,plain,
% 0.20/0.56 ((multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6) <=> (inverse(sk_c7) = sk_c7)),
% 0.20/0.56 inference(transitivity,[status(thm)],[380, 372])).
% 0.20/0.56 tff(382,plain,
% 0.20/0.56 ((inverse(sk_c7) = sk_c7) <=> (multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6)),
% 0.20/0.56 inference(symmetry,[status(thm)],[381])).
% 0.20/0.56 tff(383,plain,
% 0.20/0.56 ((~(inverse(sk_c7) = sk_c7)) <=> (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[382])).
% 0.20/0.56 tff(384,plain,
% 0.20/0.56 (multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c7),
% 0.20/0.56 inference(transitivity,[status(thm)],[261, 374, 9])).
% 0.20/0.56 tff(385,plain,
% 0.20/0.56 ((multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6) <=> (sk_c7 = inverse(sk_c7))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[384, 373])).
% 0.20/0.56 tff(386,plain,
% 0.20/0.56 ((multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6) <=> (inverse(sk_c7) = sk_c7)),
% 0.20/0.56 inference(transitivity,[status(thm)],[385, 372])).
% 0.20/0.56 tff(387,plain,
% 0.20/0.56 ((~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6)) <=> (~(inverse(sk_c7) = sk_c7))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[386])).
% 0.20/0.56 tff(388,assumption,(~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6)), introduced(assumption)).
% 0.20/0.56 tff(389,plain,
% 0.20/0.56 (~(inverse(sk_c7) = sk_c7)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[388, 387])).
% 0.20/0.56 tff(390,plain,
% 0.20/0.56 (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[389, 383])).
% 0.20/0.56 tff(391,assumption,(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6), introduced(assumption)).
% 0.20/0.56 tff(392,plain,
% 0.20/0.56 ($false),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[391, 390])).
% 0.20/0.56 tff(393,plain,((multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.56 tff(394,plain,
% 0.20/0.56 (multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[393, 371])).
% 0.20/0.56 tff(395,plain,
% 0.20/0.56 (identity = multiply(sk_c7, sk_c3)),
% 0.20/0.56 inference(transitivity,[status(thm)],[259, 375])).
% 0.20/0.56 tff(396,plain,
% 0.20/0.56 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c3), sk_c7)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[395])).
% 0.20/0.56 tff(397,plain,
% 0.20/0.56 (sk_c7 = sk_c6),
% 0.20/0.56 inference(transitivity,[status(thm)],[60, 396, 246, 394])).
% 0.20/0.56 tff(398,plain,
% 0.20/0.56 (sk_c6 = multiply(sk_c2, sk_c7)),
% 0.20/0.56 inference(symmetry,[status(thm)],[311])).
% 0.20/0.56 tff(399,plain,
% 0.20/0.56 (multiply(sk_c2, sk_c6) = multiply(sk_c2, multiply(sk_c2, sk_c7))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[398])).
% 0.20/0.56 tff(400,plain,
% 0.20/0.56 (multiply(sk_c2, sk_c6) = multiply(multiply(sk_c2, sk_c2), sk_c7)),
% 0.20/0.56 inference(transitivity,[status(thm)],[399, 131])).
% 0.20/0.56 tff(401,plain,
% 0.20/0.56 ((multiply(sk_c2, sk_c6) = sk_c7) <=> (multiply(multiply(sk_c2, sk_c2), sk_c7) = sk_c6)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[400, 397])).
% 0.20/0.56 tff(402,plain,
% 0.20/0.56 ((multiply(multiply(sk_c2, sk_c2), sk_c7) = sk_c6) <=> (multiply(sk_c2, sk_c6) = sk_c7)),
% 0.20/0.56 inference(symmetry,[status(thm)],[401])).
% 0.20/0.56 tff(403,plain,
% 0.20/0.56 (multiply(sk_c7, multiply(sk_c3, sk_c7)) = multiply(multiply(identity, sk_c7), multiply(sk_c3, sk_c7))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[60])).
% 0.20/0.56 tff(404,plain,
% 0.20/0.56 (multiply(multiply(identity, sk_c7), multiply(sk_c3, sk_c7)) = multiply(sk_c7, multiply(sk_c3, sk_c7))),
% 0.20/0.56 inference(symmetry,[status(thm)],[403])).
% 0.20/0.56 tff(405,plain,
% 0.20/0.56 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c7), multiply(sk_c3, sk_c7)) = multiply(identity, multiply(sk_c7, multiply(sk_c3, sk_c7))))),
% 0.20/0.56 inference(quant_inst,[status(thm)],[])).
% 0.20/0.56 tff(406,plain,
% 0.20/0.56 (multiply(multiply(identity, sk_c7), multiply(sk_c3, sk_c7)) = multiply(identity, multiply(sk_c7, multiply(sk_c3, sk_c7)))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[405, 48])).
% 0.20/0.56 tff(407,plain,
% 0.20/0.56 (multiply(identity, multiply(sk_c7, multiply(sk_c3, sk_c7))) = multiply(multiply(identity, sk_c7), multiply(sk_c3, sk_c7))),
% 0.20/0.56 inference(symmetry,[status(thm)],[406])).
% 0.20/0.56 tff(408,plain,
% 0.20/0.56 (multiply(sk_c6, sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[373])).
% 0.20/0.56 tff(409,plain,
% 0.20/0.56 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c6, sk_c7)),
% 0.20/0.56 inference(symmetry,[status(thm)],[408])).
% 0.20/0.56 tff(410,plain,
% 0.20/0.56 (identity = multiply(sk_c6, sk_c7)),
% 0.20/0.56 inference(transitivity,[status(thm)],[266, 409])).
% 0.20/0.56 tff(411,plain,
% 0.20/0.56 (multiply(identity, multiply(sk_c7, multiply(sk_c3, sk_c7))) = multiply(multiply(sk_c6, sk_c7), sk_c6)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[410, 394])).
% 0.20/0.56 tff(412,plain,
% 0.20/0.56 (multiply(multiply(sk_c6, sk_c7), sk_c6) = multiply(identity, multiply(sk_c7, multiply(sk_c3, sk_c7)))),
% 0.20/0.56 inference(symmetry,[status(thm)],[411])).
% 0.20/0.56 tff(413,plain,
% 0.20/0.56 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c2, sk_c7))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[398])).
% 0.20/0.56 tff(414,plain,
% 0.20/0.56 (multiply(sk_c7, sk_c6) = sk_c6),
% 0.20/0.56 inference(transitivity,[status(thm)],[413, 371])).
% 0.20/0.56 tff(415,plain,
% 0.20/0.56 (multiply(sk_c6, multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c2, sk_c7), sk_c6)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[398, 414])).
% 0.20/0.56 tff(416,plain,
% 0.20/0.56 (multiply(multiply(sk_c2, sk_c7), sk_c6) = multiply(sk_c6, multiply(sk_c7, sk_c6))),
% 0.20/0.56 inference(symmetry,[status(thm)],[415])).
% 0.20/0.56 tff(417,plain,
% 0.20/0.56 (multiply(sk_c2, multiply(sk_c7, sk_c6)) = multiply(sk_c2, sk_c6)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[414])).
% 0.20/0.56 tff(418,plain,
% 0.20/0.56 (multiply(sk_c2, sk_c6) = multiply(sk_c2, multiply(sk_c7, sk_c6))),
% 0.20/0.56 inference(symmetry,[status(thm)],[417])).
% 0.20/0.56 tff(419,plain,
% 0.20/0.56 (multiply(sk_c2, multiply(sk_c2, sk_c7)) = multiply(sk_c2, sk_c6)),
% 0.20/0.57 inference(symmetry,[status(thm)],[399])).
% 0.20/0.57 tff(420,plain,
% 0.20/0.57 (multiply(multiply(sk_c2, sk_c2), sk_c7) = sk_c6),
% 0.20/0.57 inference(transitivity,[status(thm)],[130, 419, 418, 156, 416, 152, 412, 407, 404, 394])).
% 0.20/0.57 tff(421,plain,
% 0.20/0.57 (multiply(sk_c2, sk_c6) = sk_c7),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[420, 402])).
% 0.20/0.57 tff(422,plain,
% 0.20/0.57 (((inverse(sk_c4) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6)) <=> ((inverse(sk_c4) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(423,plain,
% 0.20/0.57 (((multiply(sk_c1, sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7)) <=> ((inverse(sk_c4) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(424,axiom,((multiply(sk_c1, sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_10')).
% 0.20/0.57 tff(425,plain,
% 0.20/0.57 ((inverse(sk_c4) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6)),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[424, 423])).
% 0.20/0.57 tff(426,plain,
% 0.20/0.57 ((inverse(sk_c4) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6)),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[425, 422])).
% 0.20/0.57 tff(427,plain,
% 0.20/0.57 (multiply(sk_c1, sk_c7) = sk_c6),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[426, 305])).
% 0.20/0.57 tff(428,plain,
% 0.20/0.57 (~(multiply(sk_c2, sk_c6) = sk_c7)),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[188, 368, 427, 311, 283, 176, 371])).
% 0.20/0.57 tff(429,plain,
% 0.20/0.57 ($false),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[428, 421])).
% 0.20/0.57 tff(430,plain,(inverse(sk_c4) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 0.20/0.57 tff(431,plain,
% 0.20/0.57 (sk_c7 = inverse(sk_c4)),
% 0.20/0.57 inference(symmetry,[status(thm)],[430])).
% 0.20/0.57 tff(432,plain,
% 0.20/0.57 (multiply(sk_c7, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 0.20/0.57 inference(monotonicity,[status(thm)],[431])).
% 0.20/0.57 tff(433,plain,
% 0.20/0.57 (multiply(sk_c7, sk_c4) = identity),
% 0.20/0.57 inference(transitivity,[status(thm)],[432, 223])).
% 0.20/0.57 tff(434,plain,
% 0.20/0.57 (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(identity, sk_c7)),
% 0.20/0.57 inference(monotonicity,[status(thm)],[433])).
% 0.20/0.57 tff(435,plain,
% 0.20/0.57 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c4), sk_c7)),
% 0.20/0.57 inference(symmetry,[status(thm)],[434])).
% 0.20/0.57 tff(436,plain,
% 0.20/0.57 (((multiply(sk_c2, sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((multiply(sk_c2, sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(437,axiom,((multiply(sk_c2, sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_12')).
% 0.20/0.57 tff(438,plain,
% 0.20/0.57 ((multiply(sk_c2, sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[437, 436])).
% 0.20/0.57 tff(439,plain,
% 0.20/0.57 (multiply(sk_c3, sk_c6) = sk_c7),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[438, 293])).
% 0.20/0.57 tff(440,plain,
% 0.20/0.57 (sk_c7 = sk_c6),
% 0.20/0.57 inference(transitivity,[status(thm)],[60, 435, 214, 304, 297])).
% 0.20/0.57 tff(441,plain,
% 0.20/0.57 (multiply(sk_c3, sk_c7) = multiply(sk_c3, sk_c6)),
% 0.20/0.57 inference(monotonicity,[status(thm)],[440])).
% 0.20/0.57 tff(442,plain,
% 0.20/0.57 (multiply(sk_c3, sk_c7) = sk_c6),
% 0.20/0.57 inference(transitivity,[status(thm)],[441, 439, 60, 435, 214, 304, 297])).
% 0.20/0.57 tff(443,plain,
% 0.20/0.57 (multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c6),
% 0.20/0.57 inference(transitivity,[status(thm)],[304, 297])).
% 0.20/0.57 tff(444,plain,
% 0.20/0.57 (((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(445,plain,
% 0.20/0.57 (((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c6)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c7))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(446,plain,
% 0.20/0.57 (((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c6)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c6)) | (~(inverse(sk_c3) = sk_c7))))),
% 0.20/0.57 inference(monotonicity,[status(thm)],[445])).
% 0.20/0.57 tff(447,plain,
% 0.20/0.57 (((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c6)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)))),
% 0.20/0.57 inference(transitivity,[status(thm)],[446, 444])).
% 0.20/0.57 tff(448,plain,
% 0.20/0.57 ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c6)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)))),
% 0.20/0.57 inference(quant_inst,[status(thm)],[])).
% 0.20/0.57 tff(449,plain,
% 0.20/0.57 ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c6)) | (~(inverse(sk_c3) = sk_c7))),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[448, 447])).
% 0.20/0.57 tff(450,plain,
% 0.20/0.57 (~(multiply(sk_c3, sk_c7) = sk_c6)),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[449, 368, 192, 439, 430, 176, 443])).
% 0.20/0.57 tff(451,plain,
% 0.20/0.57 ($false),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[450, 442])).
% 0.20/0.57 tff(452,plain,(multiply(sk_c2, sk_c7) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 0.20/0.57 tff(453,plain,
% 0.20/0.57 (sk_c6 = multiply(sk_c2, sk_c7)),
% 0.20/0.57 inference(symmetry,[status(thm)],[452])).
% 0.20/0.57 tff(454,plain,
% 0.20/0.57 (multiply(sk_c2, sk_c6) = multiply(sk_c2, multiply(sk_c2, sk_c7))),
% 0.20/0.57 inference(monotonicity,[status(thm)],[453])).
% 0.20/0.57 tff(455,plain,
% 0.20/0.57 (multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c6),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[370, 452])).
% 0.20/0.57 tff(456,plain,
% 0.20/0.57 (multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[393, 455])).
% 0.20/0.57 tff(457,plain,
% 0.20/0.57 (((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(458,plain,
% 0.20/0.57 (((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c7))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(459,plain,
% 0.20/0.57 (((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c3) = sk_c7))))),
% 0.20/0.57 inference(monotonicity,[status(thm)],[458])).
% 0.20/0.57 tff(460,plain,
% 0.20/0.57 (((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)))),
% 0.20/0.57 inference(transitivity,[status(thm)],[459, 457])).
% 0.20/0.57 tff(461,plain,
% 0.20/0.57 ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c7)))),
% 0.20/0.57 inference(quant_inst,[status(thm)],[])).
% 0.20/0.57 tff(462,plain,
% 0.20/0.57 ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c3) = sk_c7))),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[461, 460])).
% 0.20/0.57 tff(463,plain,
% 0.20/0.57 (~(multiply(sk_c3, sk_c6) = sk_c7)),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[462, 368, 192, 452, 283, 176, 456])).
% 0.20/0.57 tff(464,plain,
% 0.20/0.57 (((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(465,axiom,((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_7')).
% 0.20/0.57 tff(466,plain,
% 0.20/0.57 ((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[465, 464])).
% 0.20/0.57 tff(467,plain,
% 0.20/0.57 (multiply(sk_c1, sk_c7) = sk_c6),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[466, 463])).
% 0.20/0.57 tff(468,plain,
% 0.20/0.57 (multiply(sk_c2, multiply(sk_c1, sk_c7)) = multiply(sk_c2, sk_c6)),
% 0.20/0.57 inference(monotonicity,[status(thm)],[467])).
% 0.20/0.57 tff(469,plain,
% 0.20/0.57 (multiply(sk_c2, multiply(sk_c1, sk_c7)) = multiply(multiply(sk_c2, sk_c2), sk_c7)),
% 0.20/0.57 inference(transitivity,[status(thm)],[468, 454, 131])).
% 0.20/0.57 tff(470,plain,
% 0.20/0.57 (multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, sk_c7))) = multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7))),
% 0.20/0.57 inference(monotonicity,[status(thm)],[469])).
% 0.20/0.57 tff(471,plain,
% 0.20/0.57 (multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)) = multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, sk_c7)))),
% 0.20/0.57 inference(symmetry,[status(thm)],[470])).
% 0.20/0.57 tff(472,plain,
% 0.20/0.57 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c2, sk_c2)), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)))),
% 0.20/0.57 inference(quant_inst,[status(thm)],[])).
% 0.20/0.57 tff(473,plain,
% 0.20/0.57 (multiply(multiply(sk_c7, multiply(sk_c2, sk_c2)), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[472, 48])).
% 0.20/0.57 tff(474,plain,
% 0.20/0.57 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c7, sk_c2)),
% 0.20/0.57 inference(symmetry,[status(thm)],[376])).
% 0.20/0.57 tff(475,plain,
% 0.20/0.57 (identity = multiply(sk_c7, sk_c2)),
% 0.20/0.57 inference(transitivity,[status(thm)],[57, 474])).
% 0.20/0.57 tff(476,plain,
% 0.20/0.57 (multiply(identity, sk_c2) = multiply(multiply(sk_c7, sk_c2), sk_c2)),
% 0.20/0.57 inference(monotonicity,[status(thm)],[475])).
% 0.20/0.57 tff(477,plain,
% 0.20/0.57 (multiply(multiply(sk_c7, sk_c2), sk_c2) = multiply(identity, sk_c2)),
% 0.20/0.57 inference(symmetry,[status(thm)],[476])).
% 0.20/0.57 tff(478,plain,
% 0.20/0.57 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c2), sk_c2) = multiply(sk_c7, multiply(sk_c2, sk_c2)))),
% 0.20/0.57 inference(quant_inst,[status(thm)],[])).
% 0.20/0.57 tff(479,plain,
% 0.20/0.57 (multiply(multiply(sk_c7, sk_c2), sk_c2) = multiply(sk_c7, multiply(sk_c2, sk_c2))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[478, 48])).
% 0.20/0.57 tff(480,plain,
% 0.20/0.57 (multiply(sk_c7, multiply(sk_c2, sk_c2)) = multiply(multiply(sk_c7, sk_c2), sk_c2)),
% 0.20/0.57 inference(symmetry,[status(thm)],[479])).
% 0.20/0.57 tff(481,plain,
% 0.20/0.57 (multiply(sk_c7, multiply(sk_c2, sk_c2)) = sk_c2),
% 0.20/0.57 inference(transitivity,[status(thm)],[480, 477, 11])).
% 0.20/0.57 tff(482,plain,
% 0.20/0.57 (multiply(multiply(sk_c7, multiply(sk_c2, sk_c2)), sk_c7) = multiply(sk_c2, sk_c7)),
% 0.20/0.57 inference(monotonicity,[status(thm)],[481])).
% 0.20/0.57 tff(483,plain,
% 0.20/0.57 (multiply(sk_c2, sk_c7) = multiply(multiply(sk_c7, multiply(sk_c2, sk_c2)), sk_c7)),
% 0.20/0.57 inference(symmetry,[status(thm)],[482])).
% 0.20/0.57 tff(484,plain,
% 0.20/0.57 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7) = multiply(sk_c2, sk_c7)),
% 0.20/0.57 inference(monotonicity,[status(thm)],[200])).
% 0.20/0.57 tff(485,plain,
% 0.20/0.57 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7) = multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, sk_c7)))),
% 0.20/0.57 inference(transitivity,[status(thm)],[484, 483, 473, 471])).
% 0.20/0.57 tff(486,plain,
% 0.20/0.57 (multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7)) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, sk_c7))))),
% 0.20/0.57 inference(monotonicity,[status(thm)],[485])).
% 0.20/0.57 tff(487,plain,
% 0.20/0.57 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, sk_c7)))) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7))),
% 0.20/0.57 inference(symmetry,[status(thm)],[486])).
% 0.20/0.57 tff(488,plain,
% 0.20/0.57 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, sk_c7))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, sk_c7)))))),
% 0.20/0.57 inference(quant_inst,[status(thm)],[])).
% 0.20/0.57 tff(489,plain,
% 0.20/0.57 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, sk_c7))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, sk_c7))))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[488, 48])).
% 0.20/0.57 tff(490,plain,
% 0.20/0.57 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c2), sk_c6) = multiply(sk_c3, multiply(sk_c2, sk_c6)))),
% 0.20/0.57 inference(quant_inst,[status(thm)],[])).
% 0.20/0.57 tff(491,plain,
% 0.20/0.57 (multiply(multiply(sk_c3, sk_c2), sk_c6) = multiply(sk_c3, multiply(sk_c2, sk_c6))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[490, 48])).
% 0.20/0.57 tff(492,plain,
% 0.20/0.57 (multiply(sk_c3, multiply(sk_c2, sk_c6)) = multiply(multiply(sk_c3, sk_c2), sk_c6)),
% 0.20/0.57 inference(symmetry,[status(thm)],[491])).
% 0.20/0.57 tff(493,plain,
% 0.20/0.57 (multiply(sk_c3, multiply(sk_c2, multiply(sk_c1, sk_c7))) = multiply(sk_c3, multiply(sk_c2, sk_c6))),
% 0.20/0.57 inference(monotonicity,[status(thm)],[468])).
% 0.20/0.57 tff(494,plain,
% 0.20/0.57 (multiply(sk_c3, multiply(sk_c2, multiply(sk_c1, sk_c7))) = multiply(multiply(sk_c3, sk_c2), sk_c6)),
% 0.20/0.58 inference(transitivity,[status(thm)],[493, 492])).
% 0.20/0.58 tff(495,plain,
% 0.20/0.58 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c2, multiply(sk_c1, sk_c7)))) = multiply(sk_c6, multiply(multiply(sk_c3, sk_c2), sk_c6))),
% 0.20/0.58 inference(monotonicity,[status(thm)],[494])).
% 0.20/0.58 tff(496,plain,
% 0.20/0.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c3), multiply(sk_c2, multiply(sk_c1, sk_c7))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c2, multiply(sk_c1, sk_c7)))))),
% 0.20/0.58 inference(quant_inst,[status(thm)],[])).
% 0.20/0.58 tff(497,plain,
% 0.20/0.58 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c2, multiply(sk_c1, sk_c7))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c2, multiply(sk_c1, sk_c7))))),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[496, 48])).
% 0.20/0.58 tff(498,plain,
% 0.20/0.58 (multiply(sk_c6, sk_c3) = multiply(multiply(sk_c2, sk_c7), sk_c3)),
% 0.20/0.58 inference(monotonicity,[status(thm)],[453])).
% 0.20/0.58 tff(499,plain,
% 0.20/0.58 (multiply(multiply(sk_c2, sk_c7), sk_c3) = multiply(sk_c6, sk_c3)),
% 0.20/0.58 inference(symmetry,[status(thm)],[498])).
% 0.20/0.58 tff(500,plain,
% 0.20/0.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c7), sk_c3) = multiply(sk_c2, multiply(sk_c7, sk_c3)))),
% 0.20/0.58 inference(quant_inst,[status(thm)],[])).
% 0.20/0.58 tff(501,plain,
% 0.20/0.58 (multiply(multiply(sk_c2, sk_c7), sk_c3) = multiply(sk_c2, multiply(sk_c7, sk_c3))),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[500, 48])).
% 0.20/0.58 tff(502,plain,
% 0.20/0.58 (multiply(sk_c2, multiply(sk_c7, sk_c3)) = multiply(multiply(sk_c2, sk_c7), sk_c3)),
% 0.20/0.58 inference(symmetry,[status(thm)],[501])).
% 0.20/0.58 tff(503,plain,
% 0.20/0.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c7), sk_c7) = multiply(sk_c2, multiply(sk_c7, sk_c7)))),
% 0.20/0.58 inference(quant_inst,[status(thm)],[])).
% 0.20/0.58 tff(504,plain,
% 0.20/0.58 (multiply(multiply(sk_c2, sk_c7), sk_c7) = multiply(sk_c2, multiply(sk_c7, sk_c7))),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[503, 48])).
% 0.20/0.58 tff(505,plain,
% 0.20/0.58 (inverse(sk_c7) = multiply(sk_c2, sk_c7)),
% 0.20/0.58 inference(transitivity,[status(thm)],[368, 453])).
% 0.20/0.58 tff(506,plain,
% 0.20/0.58 (multiply(inverse(sk_c7), sk_c7) = multiply(multiply(sk_c2, sk_c7), sk_c7)),
% 0.20/0.58 inference(monotonicity,[status(thm)],[505])).
% 0.20/0.58 tff(507,plain,
% 0.20/0.58 (multiply(sk_c7, sk_c3) = multiply(sk_c2, multiply(sk_c7, sk_c7))),
% 0.20/0.58 inference(transitivity,[status(thm)],[194, 20, 266, 506, 504])).
% 0.20/0.58 tff(508,plain,
% 0.20/0.58 (multiply(sk_c2, multiply(sk_c7, sk_c3)) = multiply(sk_c2, multiply(sk_c2, multiply(sk_c7, sk_c7)))),
% 0.20/0.58 inference(monotonicity,[status(thm)],[507])).
% 0.20/0.58 tff(509,plain,
% 0.20/0.58 (multiply(sk_c2, multiply(sk_c2, multiply(sk_c7, sk_c7))) = multiply(sk_c2, multiply(sk_c7, sk_c3))),
% 0.20/0.58 inference(symmetry,[status(thm)],[508])).
% 0.20/0.58 tff(510,plain,
% 0.20/0.58 (multiply(sk_c6, sk_c7) = multiply(sk_c2, multiply(sk_c7, sk_c7))),
% 0.20/0.58 inference(transitivity,[status(thm)],[408, 506, 504])).
% 0.20/0.58 tff(511,plain,
% 0.20/0.58 (multiply(sk_c2, multiply(sk_c6, sk_c7)) = multiply(sk_c2, multiply(sk_c2, multiply(sk_c7, sk_c7)))),
% 0.20/0.58 inference(monotonicity,[status(thm)],[510])).
% 0.20/0.58 tff(512,plain,
% 0.20/0.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c6), sk_c7) = multiply(sk_c2, multiply(sk_c6, sk_c7)))),
% 0.20/0.58 inference(quant_inst,[status(thm)],[])).
% 0.20/0.58 tff(513,plain,
% 0.20/0.58 (multiply(multiply(sk_c2, sk_c6), sk_c7) = multiply(sk_c2, multiply(sk_c6, sk_c7))),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[512, 48])).
% 0.20/0.58 tff(514,plain,
% 0.20/0.58 (multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), sk_c7) = multiply(multiply(sk_c2, sk_c6), sk_c7)),
% 0.20/0.58 inference(monotonicity,[status(thm)],[468])).
% 0.20/0.58 tff(515,plain,
% 0.20/0.58 (multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), sk_c7) = multiply(sk_c6, sk_c3)),
% 0.20/0.58 inference(transitivity,[status(thm)],[514, 513, 511, 509, 502, 499])).
% 0.20/0.58 tff(516,plain,
% 0.20/0.58 (multiply(multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), sk_c7), multiply(sk_c2, multiply(sk_c1, sk_c7))) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c2, multiply(sk_c1, sk_c7)))),
% 0.20/0.58 inference(monotonicity,[status(thm)],[515])).
% 0.20/0.58 tff(517,plain,
% 0.20/0.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), sk_c7), multiply(sk_c2, multiply(sk_c1, sk_c7))) = multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, sk_c7)))))),
% 0.20/0.58 inference(quant_inst,[status(thm)],[])).
% 0.20/0.58 tff(518,plain,
% 0.20/0.58 (multiply(multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), sk_c7), multiply(sk_c2, multiply(sk_c1, sk_c7))) = multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, sk_c7))))),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[517, 48])).
% 0.20/0.58 tff(519,plain,
% 0.20/0.58 (multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, sk_c7)))) = multiply(multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), sk_c7), multiply(sk_c2, multiply(sk_c1, sk_c7)))),
% 0.20/0.58 inference(symmetry,[status(thm)],[518])).
% 0.20/0.58 tff(520,plain,
% 0.20/0.58 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c2, multiply(sk_c1, sk_c7))) = multiply(sk_c2, multiply(sk_c1, sk_c7)))),
% 0.20/0.58 inference(quant_inst,[status(thm)],[])).
% 0.20/0.58 tff(521,plain,
% 0.20/0.58 (multiply(identity, multiply(sk_c2, multiply(sk_c1, sk_c7))) = multiply(sk_c2, multiply(sk_c1, sk_c7))),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[520, 7])).
% 0.20/0.58 tff(522,plain,
% 0.20/0.58 (multiply(sk_c6, sk_c7) = identity),
% 0.20/0.58 inference(transitivity,[status(thm)],[408, 65])).
% 0.20/0.58 tff(523,plain,
% 0.20/0.58 (multiply(multiply(sk_c6, sk_c7), multiply(sk_c2, multiply(sk_c1, sk_c7))) = multiply(identity, multiply(sk_c2, multiply(sk_c1, sk_c7)))),
% 0.20/0.58 inference(monotonicity,[status(thm)],[522])).
% 0.20/0.58 tff(524,plain,
% 0.20/0.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), multiply(sk_c2, multiply(sk_c1, sk_c7))) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, sk_c7)))))),
% 0.20/0.58 inference(quant_inst,[status(thm)],[])).
% 0.20/0.58 tff(525,plain,
% 0.20/0.58 (multiply(multiply(sk_c6, sk_c7), multiply(sk_c2, multiply(sk_c1, sk_c7))) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, sk_c7))))),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[524, 48])).
% 0.20/0.58 tff(526,plain,
% 0.20/0.58 (multiply(sk_c6, multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, sk_c7)))) = multiply(multiply(sk_c6, sk_c7), multiply(sk_c2, multiply(sk_c1, sk_c7)))),
% 0.20/0.58 inference(symmetry,[status(thm)],[525])).
% 0.20/0.58 tff(527,plain,
% 0.20/0.58 (multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c2, sk_c2)), sk_c7)),
% 0.20/0.58 inference(symmetry,[status(thm)],[473])).
% 0.20/0.58 tff(528,plain,
% 0.20/0.58 (multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)) = sk_c6),
% 0.20/0.58 inference(transitivity,[status(thm)],[527, 482, 452])).
% 0.20/0.58 tff(529,plain,
% 0.20/0.58 (multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)), multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7))) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, sk_c7))))),
% 0.20/0.58 inference(monotonicity,[status(thm)],[528, 471])).
% 0.20/0.58 tff(530,plain,
% 0.20/0.58 (multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)), multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7))) = multiply(sk_c2, multiply(sk_c1, sk_c7))),
% 0.20/0.58 inference(transitivity,[status(thm)],[529, 526, 523, 521])).
% 0.20/0.58 tff(531,plain,
% 0.20/0.58 (multiply(multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)), multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7))), multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7))) = multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, sk_c7))))),
% 0.20/0.58 inference(monotonicity,[status(thm)],[530, 471])).
% 0.20/0.58 tff(532,plain,
% 0.20/0.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)), multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7))), multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7))) = multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)), multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)), multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)))))),
% 0.20/0.58 inference(quant_inst,[status(thm)],[])).
% 0.20/0.58 tff(533,plain,
% 0.20/0.58 (multiply(multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)), multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7))), multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7))) = multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)), multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)), multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7))))),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[532, 48])).
% 0.20/0.58 tff(534,plain,
% 0.20/0.58 (multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)), multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)), multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)))) = multiply(multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)), multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7))), multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)))),
% 0.20/0.58 inference(symmetry,[status(thm)],[533])).
% 0.20/0.58 tff(535,plain,
% 0.20/0.58 (multiply(sk_c6, multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, sk_c7)))) = multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)), multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)))),
% 0.20/0.58 inference(symmetry,[status(thm)],[529])).
% 0.20/0.58 tff(536,plain,
% 0.20/0.58 (multiply(identity, multiply(sk_c2, multiply(sk_c1, sk_c7))) = multiply(multiply(sk_c6, sk_c7), multiply(sk_c2, multiply(sk_c1, sk_c7)))),
% 0.20/0.58 inference(symmetry,[status(thm)],[523])).
% 0.20/0.58 tff(537,plain,
% 0.20/0.58 (multiply(multiply(sk_c7, sk_c3), multiply(sk_c2, multiply(sk_c1, sk_c7))) = multiply(identity, multiply(sk_c2, multiply(sk_c1, sk_c7)))),
% 0.20/0.58 inference(monotonicity,[status(thm)],[195])).
% 0.20/0.58 tff(538,plain,
% 0.20/0.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c3), multiply(sk_c2, multiply(sk_c1, sk_c7))) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c2, multiply(sk_c1, sk_c7)))))),
% 0.20/0.58 inference(quant_inst,[status(thm)],[])).
% 0.20/0.58 tff(539,plain,
% 0.20/0.58 (multiply(multiply(sk_c7, sk_c3), multiply(sk_c2, multiply(sk_c1, sk_c7))) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c2, multiply(sk_c1, sk_c7))))),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[538, 48])).
% 0.20/0.58 tff(540,plain,
% 0.20/0.58 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c2, multiply(sk_c1, sk_c7)))) = multiply(multiply(sk_c7, sk_c3), multiply(sk_c2, multiply(sk_c1, sk_c7)))),
% 0.20/0.58 inference(symmetry,[status(thm)],[539])).
% 0.20/0.58 tff(541,plain,
% 0.20/0.58 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c2, multiply(sk_c1, sk_c7)))) = multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)), multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)))),
% 0.20/0.58 inference(transitivity,[status(thm)],[540, 537, 536, 525, 535])).
% 0.20/0.58 tff(542,plain,
% 0.20/0.58 (multiply(sk_c1, sk_c7) = multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7))),
% 0.20/0.58 inference(transitivity,[status(thm)],[467, 453, 483, 473])).
% 0.20/0.58 tff(543,plain,
% 0.20/0.58 (multiply(multiply(sk_c1, sk_c7), multiply(sk_c7, multiply(sk_c3, multiply(sk_c2, multiply(sk_c1, sk_c7))))) = multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)), multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)), multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7))))),
% 0.20/0.58 inference(monotonicity,[status(thm)],[542, 541])).
% 0.20/0.58 tff(544,plain,
% 0.20/0.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c7), multiply(sk_c7, multiply(sk_c3, multiply(sk_c2, multiply(sk_c1, sk_c7))))) = multiply(sk_c1, multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c2, multiply(sk_c1, sk_c7)))))))),
% 0.20/0.58 inference(quant_inst,[status(thm)],[])).
% 0.20/0.58 tff(545,plain,
% 0.20/0.58 (multiply(multiply(sk_c1, sk_c7), multiply(sk_c7, multiply(sk_c3, multiply(sk_c2, multiply(sk_c1, sk_c7))))) = multiply(sk_c1, multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c2, multiply(sk_c1, sk_c7))))))),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[544, 48])).
% 0.20/0.58 tff(546,plain,
% 0.20/0.58 (multiply(sk_c1, multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c2, multiply(sk_c1, sk_c7)))))) = multiply(multiply(sk_c1, sk_c7), multiply(sk_c7, multiply(sk_c3, multiply(sk_c2, multiply(sk_c1, sk_c7)))))),
% 0.20/0.58 inference(symmetry,[status(thm)],[545])).
% 0.20/0.58 tff(547,plain,
% 0.20/0.58 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c2, multiply(sk_c1, sk_c7)))) = multiply(sk_c2, multiply(sk_c1, sk_c7))),
% 0.20/0.58 inference(transitivity,[status(thm)],[540, 537, 521])).
% 0.20/0.58 tff(548,plain,
% 0.20/0.58 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c2, multiply(sk_c1, sk_c7))))) = multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, sk_c7)))),
% 0.20/0.58 inference(monotonicity,[status(thm)],[547])).
% 0.20/0.58 tff(549,plain,
% 0.20/0.58 (multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, sk_c7))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c2, multiply(sk_c1, sk_c7)))))),
% 0.20/0.58 inference(symmetry,[status(thm)],[548])).
% 0.20/0.58 tff(550,plain,
% 0.20/0.58 (sk_c6 = multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c2, multiply(sk_c1, sk_c7)))))),
% 0.20/0.58 inference(transitivity,[status(thm)],[453, 483, 473, 471, 549])).
% 0.20/0.58 tff(551,plain,
% 0.20/0.58 (multiply(sk_c1, sk_c6) = multiply(sk_c1, multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c2, multiply(sk_c1, sk_c7))))))),
% 0.20/0.58 inference(monotonicity,[status(thm)],[550])).
% 0.20/0.58 tff(552,plain,
% 0.20/0.58 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7) = sk_c6),
% 0.20/0.58 inference(transitivity,[status(thm)],[484, 452])).
% 0.20/0.58 tff(553,plain,
% 0.20/0.58 (multiply(sk_c1, multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7)) = multiply(sk_c1, sk_c6)),
% 0.20/0.58 inference(monotonicity,[status(thm)],[552])).
% 0.20/0.58 tff(554,plain,
% 0.20/0.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, multiply(sk_c7, multiply(sk_c3, sk_c2))), sk_c7) = multiply(sk_c1, multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7)))),
% 0.20/0.58 inference(quant_inst,[status(thm)],[])).
% 0.20/0.58 tff(555,plain,
% 0.20/0.58 (multiply(multiply(sk_c1, multiply(sk_c7, multiply(sk_c3, sk_c2))), sk_c7) = multiply(sk_c1, multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7))),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[554, 48])).
% 0.20/0.58 tff(556,plain,
% 0.20/0.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c7), multiply(sk_c3, sk_c2)) = multiply(sk_c1, multiply(sk_c7, multiply(sk_c3, sk_c2))))),
% 0.20/0.58 inference(quant_inst,[status(thm)],[])).
% 0.20/0.58 tff(557,plain,
% 0.20/0.58 (multiply(multiply(sk_c1, sk_c7), multiply(sk_c3, sk_c2)) = multiply(sk_c1, multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[556, 48])).
% 0.20/0.58 tff(558,plain,
% 0.20/0.58 (multiply(multiply(sk_c1, sk_c7), multiply(sk_c3, sk_c2)) = multiply(sk_c6, multiply(sk_c3, sk_c2))),
% 0.20/0.58 inference(monotonicity,[status(thm)],[467])).
% 0.20/0.58 tff(559,plain,
% 0.20/0.58 (multiply(sk_c6, multiply(sk_c3, sk_c2)) = multiply(multiply(sk_c1, sk_c7), multiply(sk_c3, sk_c2))),
% 0.20/0.58 inference(symmetry,[status(thm)],[558])).
% 0.20/0.58 tff(560,plain,
% 0.20/0.58 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c3, sk_c2)) = multiply(sk_c6, multiply(sk_c3, sk_c2))),
% 0.20/0.58 inference(monotonicity,[status(thm)],[452])).
% 0.20/0.58 tff(561,plain,
% 0.20/0.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c7), multiply(sk_c3, sk_c2)) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c3, sk_c2))))),
% 0.20/0.58 inference(quant_inst,[status(thm)],[])).
% 0.20/0.58 tff(562,plain,
% 0.20/0.58 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c3, sk_c2)) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[561, 48])).
% 0.20/0.58 tff(563,plain,
% 0.20/0.58 (multiply(sk_c2, multiply(sk_c7, multiply(sk_c3, sk_c2))) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c3, sk_c2))),
% 0.20/0.58 inference(symmetry,[status(thm)],[562])).
% 0.20/0.58 tff(564,plain,
% 0.20/0.58 (multiply(identity, sk_c2) = multiply(multiply(sk_c7, sk_c3), sk_c2)),
% 0.20/0.58 inference(symmetry,[status(thm)],[196])).
% 0.20/0.58 tff(565,plain,
% 0.20/0.58 (sk_c2 = multiply(identity, sk_c2)),
% 0.20/0.58 inference(symmetry,[status(thm)],[11])).
% 0.20/0.58 tff(566,plain,
% 0.20/0.58 (sk_c2 = multiply(sk_c7, multiply(sk_c3, sk_c2))),
% 0.20/0.58 inference(transitivity,[status(thm)],[565, 564, 198])).
% 0.20/0.58 tff(567,plain,
% 0.20/0.58 (multiply(sk_c2, sk_c2) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 0.20/0.58 inference(monotonicity,[status(thm)],[566])).
% 0.20/0.58 tff(568,plain,
% 0.20/0.58 (multiply(sk_c2, sk_c2) = multiply(sk_c1, multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 0.20/0.58 inference(transitivity,[status(thm)],[567, 563, 560, 559, 557])).
% 0.20/0.58 tff(569,plain,
% 0.20/0.58 (multiply(multiply(sk_c2, sk_c2), sk_c7) = multiply(multiply(sk_c1, multiply(sk_c7, multiply(sk_c3, sk_c2))), sk_c7)),
% 0.20/0.58 inference(monotonicity,[status(thm)],[568])).
% 0.20/0.58 tff(570,plain,
% 0.20/0.58 (multiply(sk_c2, multiply(sk_c1, sk_c7)) = multiply(sk_c6, multiply(multiply(sk_c3, sk_c2), sk_c6))),
% 0.20/0.58 inference(transitivity,[status(thm)],[468, 454, 131, 569, 555, 553, 551, 546, 543, 534, 531, 519, 516, 497, 495])).
% 0.20/0.58 tff(571,plain,
% 0.20/0.58 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, sk_c7))) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c6, multiply(multiply(sk_c3, sk_c2), sk_c6)))),
% 0.20/0.58 inference(monotonicity,[status(thm)],[570])).
% 0.20/0.58 tff(572,plain,
% 0.20/0.58 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c6, multiply(multiply(sk_c3, sk_c2), sk_c6))) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, sk_c7)))),
% 0.20/0.58 inference(symmetry,[status(thm)],[571])).
% 0.20/0.58 tff(573,plain,
% 0.20/0.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), multiply(sk_c6, multiply(multiply(sk_c3, sk_c2), sk_c6))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, multiply(multiply(sk_c3, sk_c2), sk_c6)))))),
% 0.20/0.58 inference(quant_inst,[status(thm)],[])).
% 0.20/0.58 tff(574,plain,
% 0.20/0.58 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c6, multiply(multiply(sk_c3, sk_c2), sk_c6))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, multiply(multiply(sk_c3, sk_c2), sk_c6))))),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[573, 48])).
% 0.20/0.58 tff(575,plain,
% 0.20/0.58 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, multiply(multiply(sk_c3, sk_c2), sk_c6)))) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c6, multiply(multiply(sk_c3, sk_c2), sk_c6)))),
% 0.20/0.58 inference(symmetry,[status(thm)],[574])).
% 0.20/0.58 tff(576,plain,
% 0.20/0.58 (multiply(sk_c7, sk_c2) = identity),
% 0.20/0.58 inference(transitivity,[status(thm)],[376, 56])).
% 0.20/0.58 tff(577,plain,
% 0.20/0.58 (multiply(multiply(sk_c7, sk_c2), multiply(sk_c2, multiply(sk_c1, sk_c7))) = multiply(identity, multiply(sk_c2, multiply(sk_c1, sk_c7)))),
% 0.20/0.58 inference(monotonicity,[status(thm)],[576])).
% 0.20/0.58 tff(578,plain,
% 0.20/0.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c2), multiply(sk_c2, multiply(sk_c1, sk_c7))) = multiply(sk_c7, multiply(sk_c2, multiply(sk_c2, multiply(sk_c1, sk_c7)))))),
% 0.20/0.58 inference(quant_inst,[status(thm)],[])).
% 0.20/0.58 tff(579,plain,
% 0.20/0.58 (multiply(multiply(sk_c7, sk_c2), multiply(sk_c2, multiply(sk_c1, sk_c7))) = multiply(sk_c7, multiply(sk_c2, multiply(sk_c2, multiply(sk_c1, sk_c7))))),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[578, 48])).
% 0.20/0.58 tff(580,plain,
% 0.20/0.58 (multiply(sk_c7, multiply(sk_c2, multiply(sk_c2, multiply(sk_c1, sk_c7)))) = multiply(multiply(sk_c7, sk_c2), multiply(sk_c2, multiply(sk_c1, sk_c7)))),
% 0.20/0.58 inference(symmetry,[status(thm)],[579])).
% 0.20/0.58 tff(581,plain,
% 0.20/0.58 (multiply(sk_c2, multiply(sk_c1, sk_c7)) = multiply(identity, multiply(sk_c2, multiply(sk_c1, sk_c7)))),
% 0.20/0.58 inference(symmetry,[status(thm)],[521])).
% 0.20/0.58 tff(582,plain,
% 0.20/0.58 (multiply(sk_c2, multiply(sk_c2, multiply(sk_c1, sk_c7))) = multiply(sk_c2, multiply(identity, multiply(sk_c2, multiply(sk_c1, sk_c7))))),
% 0.20/0.58 inference(monotonicity,[status(thm)],[581])).
% 0.20/0.58 tff(583,plain,
% 0.20/0.58 (multiply(sk_c2, multiply(identity, multiply(sk_c2, multiply(sk_c1, sk_c7)))) = multiply(sk_c2, multiply(sk_c2, multiply(sk_c1, sk_c7)))),
% 0.20/0.58 inference(symmetry,[status(thm)],[582])).
% 0.20/0.58 tff(584,plain,
% 0.20/0.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, identity), multiply(sk_c2, multiply(sk_c1, sk_c7))) = multiply(sk_c2, multiply(identity, multiply(sk_c2, multiply(sk_c1, sk_c7)))))),
% 0.20/0.58 inference(quant_inst,[status(thm)],[])).
% 0.20/0.58 tff(585,plain,
% 0.20/0.58 (multiply(multiply(sk_c2, identity), multiply(sk_c2, multiply(sk_c1, sk_c7))) = multiply(sk_c2, multiply(identity, multiply(sk_c2, multiply(sk_c1, sk_c7))))),
% 0.20/0.59 inference(unit_resolution,[status(thm)],[584, 48])).
% 0.20/0.59 tff(586,plain,
% 0.20/0.59 (identity = multiply(sk_c2, multiply(sk_c7, sk_c7))),
% 0.20/0.59 inference(transitivity,[status(thm)],[266, 506, 504])).
% 0.20/0.59 tff(587,plain,
% 0.20/0.59 (multiply(sk_c2, identity) = multiply(sk_c2, multiply(sk_c2, multiply(sk_c7, sk_c7)))),
% 0.20/0.59 inference(monotonicity,[status(thm)],[586])).
% 0.20/0.59 tff(588,plain,
% 0.20/0.59 (multiply(sk_c2, identity) = multiply(sk_c6, sk_c3)),
% 0.20/0.59 inference(transitivity,[status(thm)],[587, 509, 502, 499])).
% 0.20/0.59 tff(589,plain,
% 0.20/0.59 (multiply(multiply(sk_c2, identity), multiply(sk_c2, multiply(sk_c1, sk_c7))) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c2, multiply(sk_c1, sk_c7)))),
% 0.20/0.59 inference(monotonicity,[status(thm)],[588])).
% 0.20/0.59 tff(590,plain,
% 0.20/0.59 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c2, multiply(sk_c1, sk_c7))) = multiply(multiply(sk_c2, identity), multiply(sk_c2, multiply(sk_c1, sk_c7)))),
% 0.20/0.59 inference(symmetry,[status(thm)],[589])).
% 0.20/0.59 tff(591,plain,
% 0.20/0.59 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c2, multiply(sk_c1, sk_c7)))) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c2, multiply(sk_c1, sk_c7)))),
% 0.20/0.59 inference(symmetry,[status(thm)],[497])).
% 0.20/0.59 tff(592,plain,
% 0.20/0.59 (multiply(sk_c6, multiply(multiply(sk_c3, sk_c2), sk_c6)) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c2, multiply(sk_c1, sk_c7))))),
% 0.20/0.59 inference(symmetry,[status(thm)],[495])).
% 0.20/0.59 tff(593,plain,
% 0.20/0.59 (multiply(sk_c6, multiply(multiply(sk_c3, sk_c2), sk_c6)) = multiply(sk_c2, multiply(sk_c2, multiply(sk_c1, sk_c7)))),
% 0.20/0.59 inference(transitivity,[status(thm)],[592, 591, 590, 585, 583])).
% 0.20/0.59 tff(594,plain,
% 0.20/0.59 (multiply(sk_c7, multiply(sk_c6, multiply(multiply(sk_c3, sk_c2), sk_c6))) = multiply(sk_c7, multiply(sk_c2, multiply(sk_c2, multiply(sk_c1, sk_c7))))),
% 0.20/0.59 inference(monotonicity,[status(thm)],[593])).
% 0.20/0.59 tff(595,plain,
% 0.20/0.59 (multiply(sk_c7, multiply(sk_c6, multiply(multiply(sk_c3, sk_c2), sk_c6))) = multiply(sk_c2, multiply(sk_c1, sk_c7))),
% 0.20/0.59 inference(transitivity,[status(thm)],[594, 580, 577, 521])).
% 0.20/0.59 tff(596,plain,
% 0.20/0.59 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, multiply(multiply(sk_c3, sk_c2), sk_c6)))) = multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, sk_c7)))),
% 0.20/0.59 inference(monotonicity,[status(thm)],[595])).
% 0.20/0.59 tff(597,plain,
% 0.20/0.59 (multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, sk_c7))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, multiply(multiply(sk_c3, sk_c2), sk_c6))))),
% 0.20/0.59 inference(symmetry,[status(thm)],[596])).
% 0.20/0.59 tff(598,plain,
% 0.20/0.59 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c2) = multiply(sk_c2, sk_c2)),
% 0.20/0.59 inference(monotonicity,[status(thm)],[200])).
% 0.20/0.59 tff(599,plain,
% 0.20/0.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c2) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), sk_c2)))),
% 0.20/0.59 inference(quant_inst,[status(thm)],[])).
% 0.20/0.59 tff(600,plain,
% 0.20/0.59 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c2) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), sk_c2))),
% 0.20/0.59 inference(unit_resolution,[status(thm)],[599, 48])).
% 0.20/0.59 tff(601,plain,
% 0.20/0.59 (multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), sk_c2)) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c2)),
% 0.20/0.59 inference(symmetry,[status(thm)],[600])).
% 0.20/0.59 tff(602,plain,
% 0.20/0.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c2), sk_c2) = multiply(sk_c3, multiply(sk_c2, sk_c2)))),
% 0.20/0.59 inference(quant_inst,[status(thm)],[])).
% 0.20/0.59 tff(603,plain,
% 0.20/0.59 (multiply(multiply(sk_c3, sk_c2), sk_c2) = multiply(sk_c3, multiply(sk_c2, sk_c2))),
% 0.20/0.59 inference(unit_resolution,[status(thm)],[602, 48])).
% 0.20/0.59 tff(604,plain,
% 0.20/0.59 (multiply(sk_c3, multiply(sk_c2, sk_c2)) = multiply(multiply(sk_c3, sk_c2), sk_c2)),
% 0.20/0.59 inference(symmetry,[status(thm)],[603])).
% 0.20/0.59 tff(605,plain,
% 0.20/0.59 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c2, sk_c2))) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), sk_c2))),
% 0.20/0.59 inference(monotonicity,[status(thm)],[604])).
% 0.20/0.59 tff(606,plain,
% 0.20/0.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c3), multiply(sk_c2, sk_c2)) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c2, sk_c2))))),
% 0.20/0.59 inference(quant_inst,[status(thm)],[])).
% 0.20/0.59 tff(607,plain,
% 0.20/0.59 (multiply(multiply(sk_c7, sk_c3), multiply(sk_c2, sk_c2)) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c2, sk_c2)))),
% 0.20/0.59 inference(unit_resolution,[status(thm)],[606, 48])).
% 0.20/0.59 tff(608,plain,
% 0.20/0.59 (multiply(identity, multiply(sk_c2, sk_c2)) = multiply(multiply(sk_c7, sk_c3), multiply(sk_c2, sk_c2))),
% 0.20/0.59 inference(monotonicity,[status(thm)],[395])).
% 0.20/0.59 tff(609,plain,
% 0.20/0.59 (multiply(sk_c2, multiply(sk_c7, multiply(sk_c3, sk_c2))) = multiply(sk_c2, sk_c2)),
% 0.20/0.59 inference(symmetry,[status(thm)],[567])).
% 0.20/0.59 tff(610,plain,
% 0.20/0.59 (multiply(sk_c6, multiply(sk_c3, sk_c2)) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c3, sk_c2))),
% 0.20/0.59 inference(symmetry,[status(thm)],[560])).
% 0.20/0.59 tff(611,plain,
% 0.20/0.59 (multiply(sk_c6, multiply(sk_c3, sk_c2)) = multiply(sk_c2, sk_c2)),
% 0.20/0.59 inference(transitivity,[status(thm)],[610, 562, 609])).
% 0.20/0.59 tff(612,plain,
% 0.20/0.59 (multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)) = inverse(sk_c7)),
% 0.20/0.59 inference(transitivity,[status(thm)],[527, 482, 452, 373])).
% 0.20/0.59 tff(613,plain,
% 0.20/0.59 (multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)), sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 0.20/0.59 inference(monotonicity,[status(thm)],[612])).
% 0.20/0.59 tff(614,plain,
% 0.20/0.59 (multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)), sk_c7) = identity),
% 0.20/0.59 inference(transitivity,[status(thm)],[613, 65])).
% 0.20/0.59 tff(615,plain,
% 0.20/0.59 (multiply(multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)), sk_c7), multiply(sk_c6, multiply(sk_c3, sk_c2))) = multiply(identity, multiply(sk_c2, sk_c2))),
% 0.20/0.59 inference(monotonicity,[status(thm)],[614, 611])).
% 0.20/0.59 tff(616,plain,
% 0.20/0.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)), sk_c7), multiply(sk_c6, multiply(sk_c3, sk_c2))) = multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)), multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, sk_c2)))))),
% 0.20/0.59 inference(quant_inst,[status(thm)],[])).
% 0.20/0.59 tff(617,plain,
% 0.20/0.59 (multiply(multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)), sk_c7), multiply(sk_c6, multiply(sk_c3, sk_c2))) = multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)), multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, sk_c2))))),
% 0.20/0.59 inference(unit_resolution,[status(thm)],[616, 48])).
% 0.20/0.59 tff(618,plain,
% 0.20/0.59 (multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)), multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, sk_c2)))) = multiply(multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)), sk_c7), multiply(sk_c6, multiply(sk_c3, sk_c2)))),
% 0.20/0.59 inference(symmetry,[status(thm)],[617])).
% 0.20/0.59 tff(619,plain,
% 0.20/0.59 (multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, sk_c2))) = multiply(sk_c7, multiply(sk_c2, sk_c2))),
% 0.20/0.59 inference(monotonicity,[status(thm)],[611])).
% 0.20/0.59 tff(620,plain,
% 0.20/0.59 (multiply(sk_c7, multiply(sk_c2, sk_c2)) = multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, sk_c2)))),
% 0.20/0.59 inference(symmetry,[status(thm)],[619])).
% 0.20/0.59 tff(621,plain,
% 0.20/0.59 (sk_c2 = multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, sk_c2)))),
% 0.20/0.59 inference(transitivity,[status(thm)],[565, 476, 479, 620])).
% 0.20/0.59 tff(622,plain,
% 0.20/0.59 (multiply(sk_c2, sk_c7) = multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7))),
% 0.20/0.59 inference(transitivity,[status(thm)],[483, 473])).
% 0.20/0.59 tff(623,plain,
% 0.20/0.59 (multiply(multiply(sk_c2, sk_c7), sk_c2) = multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)), multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, sk_c2))))),
% 0.20/0.59 inference(monotonicity,[status(thm)],[622, 621])).
% 0.20/0.59 tff(624,plain,
% 0.20/0.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c7), sk_c2) = multiply(sk_c2, multiply(sk_c7, sk_c2)))),
% 0.20/0.59 inference(quant_inst,[status(thm)],[])).
% 0.20/0.59 tff(625,plain,
% 0.20/0.59 (multiply(multiply(sk_c2, sk_c7), sk_c2) = multiply(sk_c2, multiply(sk_c7, sk_c2))),
% 0.20/0.59 inference(unit_resolution,[status(thm)],[624, 48])).
% 0.20/0.59 tff(626,plain,
% 0.20/0.59 (multiply(sk_c2, multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c2, sk_c7), sk_c2)),
% 0.20/0.59 inference(symmetry,[status(thm)],[625])).
% 0.20/0.59 tff(627,plain,
% 0.20/0.59 (multiply(multiply(sk_c2, sk_c7), sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 0.20/0.59 inference(symmetry,[status(thm)],[506])).
% 0.20/0.59 tff(628,plain,
% 0.20/0.59 (multiply(sk_c2, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c2, sk_c7), sk_c7)),
% 0.20/0.59 inference(symmetry,[status(thm)],[504])).
% 0.20/0.59 tff(629,plain,
% 0.20/0.59 (multiply(sk_c2, multiply(sk_c7, sk_c7)) = multiply(sk_c7, sk_c2)),
% 0.20/0.59 inference(transitivity,[status(thm)],[628, 627, 65, 57, 474])).
% 0.20/0.59 tff(630,plain,
% 0.20/0.59 (multiply(sk_c2, multiply(sk_c2, multiply(sk_c7, sk_c7))) = multiply(sk_c2, multiply(sk_c7, sk_c2))),
% 0.20/0.59 inference(monotonicity,[status(thm)],[629])).
% 0.20/0.59 tff(631,plain,
% 0.20/0.59 (multiply(sk_c7, multiply(sk_c6, multiply(multiply(sk_c3, sk_c2), sk_c6))) = multiply(sk_c2, sk_c6)),
% 0.20/0.59 inference(transitivity,[status(thm)],[594, 580, 577, 521, 468])).
% 0.20/0.59 tff(632,plain,
% 0.20/0.59 (multiply(multiply(sk_c7, multiply(sk_c6, multiply(multiply(sk_c3, sk_c2), sk_c6))), sk_c7) = multiply(multiply(sk_c2, sk_c6), sk_c7)),
% 0.20/0.59 inference(monotonicity,[status(thm)],[631])).
% 0.20/0.59 tff(633,plain,
% 0.20/0.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c6, multiply(multiply(sk_c3, sk_c2), sk_c6))), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c6, multiply(multiply(sk_c3, sk_c2), sk_c6)), sk_c7)))),
% 0.20/0.59 inference(quant_inst,[status(thm)],[])).
% 0.20/0.59 tff(634,plain,
% 0.20/0.59 (multiply(multiply(sk_c7, multiply(sk_c6, multiply(multiply(sk_c3, sk_c2), sk_c6))), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c6, multiply(multiply(sk_c3, sk_c2), sk_c6)), sk_c7))),
% 0.20/0.59 inference(unit_resolution,[status(thm)],[633, 48])).
% 0.20/0.59 tff(635,plain,
% 0.20/0.59 (multiply(sk_c7, multiply(multiply(sk_c6, multiply(multiply(sk_c3, sk_c2), sk_c6)), sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c6, multiply(multiply(sk_c3, sk_c2), sk_c6))), sk_c7)),
% 0.20/0.59 inference(symmetry,[status(thm)],[634])).
% 0.20/0.59 tff(636,plain,
% 0.20/0.59 (sk_c6 = multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, sk_c7)))),
% 0.20/0.59 inference(transitivity,[status(thm)],[453, 483, 473, 471])).
% 0.20/0.59 tff(637,plain,
% 0.20/0.59 (multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), sk_c6) = multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, sk_c7))))),
% 0.20/0.59 inference(monotonicity,[status(thm)],[636])).
% 0.20/0.59 tff(638,plain,
% 0.20/0.59 (multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, sk_c7)))) = multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), sk_c6)),
% 0.20/0.59 inference(symmetry,[status(thm)],[637])).
% 0.20/0.59 tff(639,plain,
% 0.20/0.59 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c2, multiply(sk_c1, sk_c7))) = multiply(multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), sk_c7), multiply(sk_c2, multiply(sk_c1, sk_c7)))),
% 0.20/0.59 inference(symmetry,[status(thm)],[516])).
% 0.20/0.59 tff(640,plain,
% 0.20/0.59 (multiply(sk_c6, multiply(multiply(sk_c3, sk_c2), sk_c6)) = multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), sk_c6)),
% 0.20/0.59 inference(transitivity,[status(thm)],[592, 591, 639, 518, 638])).
% 0.20/0.59 tff(641,plain,
% 0.20/0.59 (multiply(multiply(sk_c6, multiply(multiply(sk_c3, sk_c2), sk_c6)), sk_c7) = multiply(multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), sk_c6), sk_c7)),
% 0.20/0.59 inference(monotonicity,[status(thm)],[640])).
% 0.20/0.59 tff(642,plain,
% 0.20/0.59 (multiply(multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), sk_c6), sk_c7) = multiply(multiply(sk_c6, multiply(multiply(sk_c3, sk_c2), sk_c6)), sk_c7)),
% 0.20/0.59 inference(symmetry,[status(thm)],[641])).
% 0.20/0.59 tff(643,plain,
% 0.20/0.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), sk_c6), sk_c7) = multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), multiply(sk_c6, sk_c7)))),
% 0.20/0.59 inference(quant_inst,[status(thm)],[])).
% 0.20/0.59 tff(644,plain,
% 0.20/0.59 (multiply(multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), sk_c6), sk_c7) = multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), multiply(sk_c6, sk_c7))),
% 0.20/0.59 inference(unit_resolution,[status(thm)],[643, 48])).
% 0.20/0.59 tff(645,plain,
% 0.20/0.59 (multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), multiply(sk_c6, sk_c7)) = multiply(multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), sk_c6), sk_c7)),
% 0.20/0.59 inference(symmetry,[status(thm)],[644])).
% 0.20/0.59 tff(646,plain,
% 0.20/0.59 (multiply(sk_c6, sk_c7) = multiply(sk_c7, sk_c2)),
% 0.20/0.59 inference(transitivity,[status(thm)],[408, 65, 57, 474])).
% 0.20/0.59 tff(647,plain,
% 0.20/0.59 (multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), multiply(sk_c7, sk_c2))),
% 0.20/0.59 inference(monotonicity,[status(thm)],[646])).
% 0.20/0.59 tff(648,plain,
% 0.20/0.59 (multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), multiply(sk_c6, sk_c7))),
% 0.20/0.59 inference(symmetry,[status(thm)],[647])).
% 0.20/0.59 tff(649,plain,
% 0.20/0.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), sk_c7), sk_c2) = multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), multiply(sk_c7, sk_c2)))),
% 0.20/0.59 inference(quant_inst,[status(thm)],[])).
% 0.20/0.59 tff(650,plain,
% 0.20/0.59 (multiply(multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), sk_c7), sk_c2) = multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), multiply(sk_c7, sk_c2))),
% 0.20/0.59 inference(unit_resolution,[status(thm)],[649, 48])).
% 0.20/0.59 tff(651,plain,
% 0.20/0.59 (multiply(multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), sk_c7), sk_c2) = multiply(multiply(sk_c6, sk_c3), sk_c2)),
% 0.20/0.59 inference(monotonicity,[status(thm)],[515])).
% 0.20/0.59 tff(652,plain,
% 0.20/0.59 (multiply(multiply(sk_c6, sk_c3), sk_c2) = multiply(multiply(multiply(sk_c2, multiply(sk_c1, sk_c7)), sk_c7), sk_c2)),
% 0.20/0.59 inference(symmetry,[status(thm)],[651])).
% 0.20/0.59 tff(653,plain,
% 0.20/0.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c3), sk_c2) = multiply(sk_c6, multiply(sk_c3, sk_c2)))),
% 0.20/0.59 inference(quant_inst,[status(thm)],[])).
% 0.20/0.59 tff(654,plain,
% 0.20/0.59 (multiply(multiply(sk_c6, sk_c3), sk_c2) = multiply(sk_c6, multiply(sk_c3, sk_c2))),
% 0.20/0.59 inference(unit_resolution,[status(thm)],[653, 48])).
% 0.20/0.59 tff(655,plain,
% 0.20/0.59 (multiply(sk_c6, multiply(sk_c3, sk_c2)) = multiply(multiply(sk_c6, sk_c3), sk_c2)),
% 0.20/0.59 inference(symmetry,[status(thm)],[654])).
% 0.20/0.59 tff(656,plain,
% 0.20/0.59 (multiply(sk_c2, sk_c2) = multiply(multiply(sk_c6, multiply(multiply(sk_c3, sk_c2), sk_c6)), sk_c7)),
% 0.20/0.59 inference(transitivity,[status(thm)],[567, 563, 560, 655, 652, 650, 648, 645, 642])).
% 0.20/0.59 tff(657,plain,
% 0.20/0.59 (multiply(sk_c7, multiply(sk_c2, sk_c2)) = multiply(sk_c7, multiply(multiply(sk_c6, multiply(multiply(sk_c3, sk_c2), sk_c6)), sk_c7))),
% 0.20/0.59 inference(monotonicity,[status(thm)],[656])).
% 0.20/0.59 tff(658,plain,
% 0.20/0.59 (sk_c2 = multiply(sk_c2, sk_c2)),
% 0.20/0.59 inference(transitivity,[status(thm)],[565, 476, 479, 657, 635, 632, 513, 511, 630, 626, 623, 618, 615, 608, 607, 605, 601, 598])).
% 0.20/0.59 tff(659,plain,
% 0.20/0.59 (multiply(sk_c2, sk_c7) = multiply(multiply(sk_c2, sk_c2), sk_c7)),
% 0.20/0.59 inference(monotonicity,[status(thm)],[658])).
% 0.20/0.59 tff(660,plain,
% 0.20/0.59 (multiply(multiply(sk_c2, sk_c2), sk_c7) = multiply(sk_c2, sk_c7)),
% 0.20/0.59 inference(symmetry,[status(thm)],[659])).
% 0.20/0.59 tff(661,plain,
% 0.20/0.59 (multiply(sk_c2, sk_c6) = sk_c7),
% 0.20/0.59 inference(transitivity,[status(thm)],[454, 131, 660, 483, 473, 471, 597, 575, 572, 489, 487, 292, 289, 9])).
% 0.20/0.59 tff(662,plain,
% 0.20/0.59 (((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)))),
% 0.44/0.61 inference(rewrite,[status(thm)],[])).
% 0.44/0.61 tff(663,plain,
% 0.44/0.61 (((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c7))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)))),
% 0.44/0.61 inference(rewrite,[status(thm)],[])).
% 0.44/0.61 tff(664,plain,
% 0.44/0.61 (((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c3) = sk_c7))))),
% 0.44/0.61 inference(monotonicity,[status(thm)],[663])).
% 0.44/0.61 tff(665,plain,
% 0.44/0.61 (((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)))),
% 0.44/0.61 inference(transitivity,[status(thm)],[664, 662])).
% 0.44/0.61 tff(666,plain,
% 0.44/0.61 ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c7)))),
% 0.44/0.61 inference(quant_inst,[status(thm)],[])).
% 0.44/0.61 tff(667,plain,
% 0.44/0.61 ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(X5, sk_c7)) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)))) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c3) = sk_c7))),
% 0.44/0.61 inference(modus_ponens,[status(thm)],[666, 665])).
% 0.44/0.61 tff(668,plain,
% 0.44/0.61 (~(multiply(sk_c2, sk_c6) = sk_c7)),
% 0.44/0.61 inference(unit_resolution,[status(thm)],[667, 368, 192, 452, 283, 176, 456])).
% 0.44/0.61 tff(669,plain,
% 0.44/0.61 ($false),
% 0.44/0.61 inference(unit_resolution,[status(thm)],[668, 661])).
% 0.44/0.61 % SZS output end Proof
% 0.44/0.61 % E exiting
%------------------------------------------------------------------------------