%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GRP326-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n002.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 05:07:37 AM UTC 2025
% Result : Unsatisfiable 0.61s 0.81s
% Output : Proof 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP326-1 : TPTP v9.0.0. Released v2.5.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Jun 19 15:58:01 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.61/0.81 % SZS status Unsatisfiable
% 0.61/0.81 % SZS output start Proof
% 0.61/0.81 tff(sk_c7_type, type, (
% 0.61/0.81 sk_c7: $i)).
% 0.61/0.81 tff(inverse_type, type, (
% 0.61/0.81 inverse: $i > $i)).
% 0.61/0.81 tff(sk_c6_type, type, (
% 0.61/0.81 sk_c6: $i)).
% 0.61/0.81 tff(multiply_type, type, (
% 0.61/0.81 multiply: ( $i * $i ) > $i)).
% 0.61/0.81 tff(sk_c1_type, type, (
% 0.61/0.81 sk_c1: $i)).
% 0.61/0.81 tff(identity_type, type, (
% 0.61/0.81 identity: $i)).
% 0.61/0.81 tff(sk_c5_type, type, (
% 0.61/0.81 sk_c5: $i)).
% 0.61/0.81 tff(sk_c2_type, type, (
% 0.61/0.81 sk_c2: $i)).
% 0.61/0.81 tff(sk_c3_type, type, (
% 0.61/0.81 sk_c3: $i)).
% 0.61/0.81 tff(sk_c4_type, type, (
% 0.61/0.81 sk_c4: $i)).
% 0.61/0.81 tff(1,plain,
% 0.61/0.81 (^[X: $i] : refl((multiply(identity, X) = X) <=> (multiply(identity, X) = X))),
% 0.61/0.81 inference(bind,[status(th)],[])).
% 0.61/0.81 tff(2,plain,
% 0.61/0.81 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 0.61/0.81 inference(quant_intro,[status(thm)],[1])).
% 0.61/0.81 tff(3,plain,
% 0.61/0.81 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 0.61/0.81 inference(rewrite,[status(thm)],[])).
% 0.61/0.81 tff(4,axiom,(![X: $i] : (multiply(identity, X) = X)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','left_identity')).
% 0.61/0.81 tff(5,plain,
% 0.61/0.81 (![X: $i] : (multiply(identity, X) = X)),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.61/0.81 tff(6,plain,(
% 0.61/0.81 ![X: $i] : (multiply(identity, X) = X)),
% 0.61/0.81 inference(skolemize,[status(sab)],[5])).
% 0.61/0.81 tff(7,plain,
% 0.61/0.81 (![X: $i] : (multiply(identity, X) = X)),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.61/0.81 tff(8,plain,
% 0.61/0.81 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c7) = sk_c7)),
% 0.61/0.81 inference(quant_inst,[status(thm)],[])).
% 0.61/0.81 tff(9,plain,
% 0.61/0.81 (multiply(identity, sk_c7) = sk_c7),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.61/0.81 tff(10,plain,
% 0.61/0.81 ((multiply(sk_c6, sk_c7) = sk_c5) <=> (multiply(sk_c6, sk_c7) = sk_c5)),
% 0.61/0.81 inference(rewrite,[status(thm)],[])).
% 0.61/0.81 tff(11,axiom,(multiply(sk_c6, sk_c7) = sk_c5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_1')).
% 0.61/0.81 tff(12,plain,
% 0.61/0.81 (multiply(sk_c6, sk_c7) = sk_c5),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[11, 10])).
% 0.61/0.81 tff(13,assumption,(~(inverse(sk_c6) = sk_c5)), introduced(assumption)).
% 0.61/0.81 tff(14,plain,
% 0.61/0.81 (((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c6) = sk_c5)) <=> ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c6) = sk_c5))),
% 0.61/0.81 inference(rewrite,[status(thm)],[])).
% 0.61/0.81 tff(15,axiom,((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c6) = sk_c5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_2')).
% 0.61/0.81 tff(16,plain,
% 0.61/0.81 ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c6) = sk_c5)),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.61/0.81 tff(17,plain,
% 0.61/0.81 ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c6) = sk_c5)),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[16, 14])).
% 0.61/0.81 tff(18,plain,
% 0.61/0.81 ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c6) = sk_c5)),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[17, 14])).
% 0.61/0.81 tff(19,plain,
% 0.61/0.81 ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c6) = sk_c5)),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[18, 14])).
% 0.61/0.81 tff(20,plain,
% 0.61/0.81 ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c6) = sk_c5)),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[19, 14])).
% 0.61/0.81 tff(21,plain,
% 0.61/0.81 (multiply(sk_c1, sk_c6) = sk_c7),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[20, 13])).
% 0.61/0.81 tff(22,plain,
% 0.61/0.81 (sk_c7 = multiply(sk_c1, sk_c6)),
% 0.61/0.81 inference(symmetry,[status(thm)],[21])).
% 0.61/0.81 tff(23,plain,
% 0.61/0.81 (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c1, sk_c6))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[22])).
% 0.61/0.81 tff(24,plain,
% 0.61/0.81 (multiply(sk_c6, multiply(sk_c1, sk_c6)) = multiply(sk_c6, sk_c7)),
% 0.61/0.81 inference(symmetry,[status(thm)],[23])).
% 0.61/0.81 tff(25,plain,
% 0.61/0.81 (^[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))))),
% 0.61/0.81 inference(bind,[status(th)],[])).
% 0.61/0.81 tff(26,plain,
% 0.61/0.81 (![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)))),
% 0.61/0.81 inference(quant_intro,[status(thm)],[25])).
% 0.61/0.81 tff(27,plain,
% 0.61/0.81 (![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)))),
% 0.61/0.81 inference(rewrite,[status(thm)],[])).
% 0.61/0.81 tff(28,axiom,(![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','associativity')).
% 0.61/0.81 tff(29,plain,
% 0.61/0.81 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[28, 27])).
% 0.61/0.81 tff(30,plain,(
% 0.61/0.81 ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.61/0.81 inference(skolemize,[status(sab)],[29])).
% 0.61/0.81 tff(31,plain,
% 0.61/0.81 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[30, 26])).
% 0.61/0.81 tff(32,plain,
% 0.61/0.81 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c1), sk_c6) = multiply(sk_c6, multiply(sk_c1, sk_c6)))),
% 0.61/0.81 inference(quant_inst,[status(thm)],[])).
% 0.61/0.81 tff(33,plain,
% 0.61/0.81 (multiply(multiply(sk_c6, sk_c1), sk_c6) = multiply(sk_c6, multiply(sk_c1, sk_c6))),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[32, 31])).
% 0.61/0.81 tff(34,plain,
% 0.61/0.81 (^[X: $i] : refl((multiply(inverse(X), X) = identity) <=> (multiply(inverse(X), X) = identity))),
% 0.61/0.81 inference(bind,[status(th)],[])).
% 0.61/0.81 tff(35,plain,
% 0.61/0.81 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.61/0.81 inference(quant_intro,[status(thm)],[34])).
% 0.61/0.81 tff(36,plain,
% 0.61/0.81 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.61/0.81 inference(rewrite,[status(thm)],[])).
% 0.61/0.81 tff(37,axiom,(![X: $i] : (multiply(inverse(X), X) = identity)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','left_inverse')).
% 0.61/0.81 tff(38,plain,
% 0.61/0.81 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.61/0.81 tff(39,plain,(
% 0.61/0.81 ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.61/0.81 inference(skolemize,[status(sab)],[38])).
% 0.61/0.81 tff(40,plain,
% 0.61/0.81 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[39, 35])).
% 0.61/0.81 tff(41,plain,
% 0.61/0.81 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c1), sk_c1) = identity)),
% 0.61/0.81 inference(quant_inst,[status(thm)],[])).
% 0.61/0.81 tff(42,plain,
% 0.61/0.81 (multiply(inverse(sk_c1), sk_c1) = identity),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[41, 40])).
% 0.61/0.81 tff(43,plain,
% 0.61/0.81 (((inverse(sk_c1) = sk_c6) | (inverse(sk_c6) = sk_c5)) <=> ((inverse(sk_c1) = sk_c6) | (inverse(sk_c6) = sk_c5))),
% 0.61/0.81 inference(rewrite,[status(thm)],[])).
% 0.61/0.81 tff(44,axiom,((inverse(sk_c1) = sk_c6) | (inverse(sk_c6) = sk_c5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_6')).
% 0.61/0.81 tff(45,plain,
% 0.61/0.81 ((inverse(sk_c1) = sk_c6) | (inverse(sk_c6) = sk_c5)),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[44, 43])).
% 0.61/0.81 tff(46,plain,
% 0.61/0.81 (inverse(sk_c1) = sk_c6),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[45, 13])).
% 0.61/0.81 tff(47,plain,
% 0.61/0.81 (sk_c6 = inverse(sk_c1)),
% 0.61/0.81 inference(symmetry,[status(thm)],[46])).
% 0.61/0.81 tff(48,plain,
% 0.61/0.81 (multiply(sk_c6, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[47])).
% 0.61/0.81 tff(49,plain,
% 0.61/0.81 (multiply(sk_c6, sk_c1) = identity),
% 0.61/0.81 inference(transitivity,[status(thm)],[48, 42])).
% 0.61/0.81 tff(50,plain,
% 0.61/0.81 (multiply(multiply(sk_c6, sk_c1), sk_c6) = multiply(identity, sk_c6)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[49])).
% 0.61/0.81 tff(51,plain,
% 0.61/0.81 (multiply(identity, sk_c6) = multiply(multiply(sk_c6, sk_c1), sk_c6)),
% 0.61/0.81 inference(symmetry,[status(thm)],[50])).
% 0.61/0.81 tff(52,plain,
% 0.61/0.81 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c6) = sk_c6)),
% 0.61/0.81 inference(quant_inst,[status(thm)],[])).
% 0.61/0.81 tff(53,plain,
% 0.61/0.81 (multiply(identity, sk_c6) = sk_c6),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[52, 7])).
% 0.61/0.81 tff(54,plain,
% 0.61/0.81 (sk_c6 = multiply(identity, sk_c6)),
% 0.61/0.81 inference(symmetry,[status(thm)],[53])).
% 0.61/0.81 tff(55,plain,
% 0.61/0.81 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c1) = sk_c1)),
% 0.61/0.81 inference(quant_inst,[status(thm)],[])).
% 0.61/0.81 tff(56,plain,
% 0.61/0.81 (multiply(identity, sk_c1) = sk_c1),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[55, 7])).
% 0.61/0.81 tff(57,plain,
% 0.61/0.81 (((inverse(sk_c2) = sk_c7) | (inverse(sk_c6) = sk_c5)) <=> ((inverse(sk_c2) = sk_c7) | (inverse(sk_c6) = sk_c5))),
% 0.61/0.81 inference(rewrite,[status(thm)],[])).
% 0.61/0.81 tff(58,axiom,((inverse(sk_c2) = sk_c7) | (inverse(sk_c6) = sk_c5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_18')).
% 0.61/0.81 tff(59,plain,
% 0.61/0.81 ((inverse(sk_c2) = sk_c7) | (inverse(sk_c6) = sk_c5)),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.61/0.81 tff(60,plain,
% 0.61/0.81 (inverse(sk_c2) = sk_c7),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[59, 13])).
% 0.61/0.81 tff(61,plain,
% 0.61/0.81 (sk_c7 = inverse(sk_c2)),
% 0.61/0.81 inference(symmetry,[status(thm)],[60])).
% 0.61/0.81 tff(62,plain,
% 0.61/0.81 (multiply(sk_c7, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[61])).
% 0.61/0.81 tff(63,plain,
% 0.61/0.81 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c7, sk_c2)),
% 0.61/0.81 inference(symmetry,[status(thm)],[62])).
% 0.61/0.81 tff(64,plain,
% 0.61/0.81 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c2), sk_c2) = identity)),
% 0.61/0.81 inference(quant_inst,[status(thm)],[])).
% 0.61/0.81 tff(65,plain,
% 0.61/0.81 (multiply(inverse(sk_c2), sk_c2) = identity),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[64, 40])).
% 0.61/0.81 tff(66,plain,
% 0.61/0.81 (identity = multiply(inverse(sk_c2), sk_c2)),
% 0.61/0.81 inference(symmetry,[status(thm)],[65])).
% 0.61/0.81 tff(67,plain,
% 0.61/0.81 (identity = multiply(sk_c7, sk_c2)),
% 0.61/0.81 inference(transitivity,[status(thm)],[66, 63])).
% 0.61/0.81 tff(68,plain,
% 0.61/0.81 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c2), sk_c7)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[67])).
% 0.61/0.81 tff(69,plain,
% 0.61/0.81 (multiply(multiply(sk_c7, sk_c2), sk_c7) = multiply(identity, sk_c7)),
% 0.61/0.81 inference(symmetry,[status(thm)],[68])).
% 0.61/0.81 tff(70,plain,
% 0.61/0.81 ((~![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)))),
% 0.61/0.81 inference(quant_inst,[status(thm)],[])).
% 0.61/0.81 tff(71,plain,
% 0.61/0.81 (multiply(multiply(sk_c7, sk_c2), sk_c7) = multiply(sk_c7, multiply(sk_c2, sk_c7))),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[70, 31])).
% 0.61/0.81 tff(72,plain,
% 0.61/0.81 (multiply(sk_c7, multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c7, sk_c2), sk_c7)),
% 0.61/0.81 inference(symmetry,[status(thm)],[71])).
% 0.61/0.81 tff(73,plain,
% 0.61/0.81 (((inverse(sk_c6) = sk_c5) | (multiply(sk_c2, sk_c7) = sk_c3)) <=> ((inverse(sk_c6) = sk_c5) | (multiply(sk_c2, sk_c7) = sk_c3))),
% 0.61/0.81 inference(rewrite,[status(thm)],[])).
% 0.61/0.81 tff(74,plain,
% 0.61/0.81 (((multiply(sk_c2, sk_c7) = sk_c3) | (inverse(sk_c6) = sk_c5)) <=> ((inverse(sk_c6) = sk_c5) | (multiply(sk_c2, sk_c7) = sk_c3))),
% 0.61/0.81 inference(rewrite,[status(thm)],[])).
% 0.61/0.81 tff(75,axiom,((multiply(sk_c2, sk_c7) = sk_c3) | (inverse(sk_c6) = sk_c5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_14')).
% 0.61/0.81 tff(76,plain,
% 0.61/0.81 ((inverse(sk_c6) = sk_c5) | (multiply(sk_c2, sk_c7) = sk_c3)),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[75, 74])).
% 0.61/0.81 tff(77,plain,
% 0.61/0.81 ((inverse(sk_c6) = sk_c5) | (multiply(sk_c2, sk_c7) = sk_c3)),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[76, 73])).
% 0.61/0.81 tff(78,plain,
% 0.61/0.81 (multiply(sk_c2, sk_c7) = sk_c3),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[77, 13])).
% 0.61/0.81 tff(79,plain,
% 0.61/0.81 (multiply(sk_c7, multiply(sk_c2, sk_c7)) = multiply(sk_c7, sk_c3)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[78])).
% 0.61/0.81 tff(80,plain,
% 0.61/0.81 (multiply(sk_c7, sk_c3) = multiply(sk_c7, multiply(sk_c2, sk_c7))),
% 0.61/0.81 inference(symmetry,[status(thm)],[79])).
% 0.61/0.81 tff(81,plain,
% 0.61/0.81 (((inverse(sk_c6) = sk_c5) | (multiply(sk_c7, sk_c3) = sk_c6)) <=> ((inverse(sk_c6) = sk_c5) | (multiply(sk_c7, sk_c3) = sk_c6))),
% 0.61/0.81 inference(rewrite,[status(thm)],[])).
% 0.61/0.81 tff(82,plain,
% 0.61/0.81 (((multiply(sk_c7, sk_c3) = sk_c6) | (inverse(sk_c6) = sk_c5)) <=> ((inverse(sk_c6) = sk_c5) | (multiply(sk_c7, sk_c3) = sk_c6))),
% 0.61/0.81 inference(rewrite,[status(thm)],[])).
% 0.61/0.81 tff(83,axiom,((multiply(sk_c7, sk_c3) = sk_c6) | (inverse(sk_c6) = sk_c5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_10')).
% 0.61/0.81 tff(84,plain,
% 0.61/0.81 ((inverse(sk_c6) = sk_c5) | (multiply(sk_c7, sk_c3) = sk_c6)),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[83, 82])).
% 0.61/0.81 tff(85,plain,
% 0.61/0.81 ((inverse(sk_c6) = sk_c5) | (multiply(sk_c7, sk_c3) = sk_c6)),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[84, 81])).
% 0.61/0.81 tff(86,plain,
% 0.61/0.81 (multiply(sk_c7, sk_c3) = sk_c6),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[85, 13])).
% 0.61/0.81 tff(87,plain,
% 0.61/0.81 (sk_c6 = multiply(sk_c7, sk_c3)),
% 0.61/0.81 inference(symmetry,[status(thm)],[86])).
% 0.61/0.81 tff(88,plain,
% 0.61/0.81 (sk_c6 = sk_c7),
% 0.61/0.81 inference(transitivity,[status(thm)],[87, 80, 72, 69, 9])).
% 0.61/0.81 tff(89,plain,
% 0.61/0.81 (multiply(sk_c6, sk_c2) = multiply(sk_c7, sk_c2)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[88])).
% 0.61/0.81 tff(90,plain,
% 0.61/0.81 (multiply(sk_c7, sk_c2) = multiply(sk_c6, sk_c2)),
% 0.61/0.81 inference(symmetry,[status(thm)],[89])).
% 0.61/0.81 tff(91,plain,
% 0.61/0.81 (identity = multiply(sk_c6, sk_c2)),
% 0.61/0.81 inference(transitivity,[status(thm)],[66, 63, 90])).
% 0.61/0.81 tff(92,plain,
% 0.61/0.81 (multiply(identity, sk_c1) = multiply(multiply(sk_c6, sk_c2), sk_c1)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[91])).
% 0.61/0.81 tff(93,plain,
% 0.61/0.81 (multiply(multiply(sk_c6, sk_c2), sk_c1) = multiply(identity, sk_c1)),
% 0.61/0.81 inference(symmetry,[status(thm)],[92])).
% 0.61/0.81 tff(94,plain,
% 0.61/0.81 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c2), sk_c1) = multiply(sk_c6, multiply(sk_c2, sk_c1)))),
% 0.61/0.81 inference(quant_inst,[status(thm)],[])).
% 0.61/0.81 tff(95,plain,
% 0.61/0.81 (multiply(multiply(sk_c6, sk_c2), sk_c1) = multiply(sk_c6, multiply(sk_c2, sk_c1))),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[94, 31])).
% 0.61/0.81 tff(96,plain,
% 0.61/0.81 (multiply(sk_c6, multiply(sk_c2, sk_c1)) = multiply(multiply(sk_c6, sk_c2), sk_c1)),
% 0.61/0.81 inference(symmetry,[status(thm)],[95])).
% 0.61/0.81 tff(97,plain,
% 0.61/0.81 (multiply(sk_c6, sk_c6) = multiply(sk_c6, sk_c7)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[88])).
% 0.61/0.81 tff(98,plain,
% 0.61/0.81 (multiply(sk_c6, sk_c7) = multiply(sk_c6, sk_c6)),
% 0.61/0.81 inference(symmetry,[status(thm)],[97])).
% 0.61/0.81 tff(99,plain,
% 0.61/0.81 (sk_c6 = multiply(sk_c6, sk_c6)),
% 0.61/0.81 inference(transitivity,[status(thm)],[54, 51, 33, 24, 98])).
% 0.61/0.81 tff(100,plain,
% 0.61/0.81 (multiply(sk_c6, multiply(sk_c2, sk_c1)) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c2, sk_c1))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[99])).
% 0.61/0.81 tff(101,plain,
% 0.61/0.81 (multiply(multiply(sk_c6, sk_c6), multiply(sk_c2, sk_c1)) = multiply(sk_c6, multiply(sk_c2, sk_c1))),
% 0.61/0.81 inference(symmetry,[status(thm)],[100])).
% 0.61/0.81 tff(102,plain,
% 0.61/0.81 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c6), multiply(sk_c2, sk_c1)) = multiply(sk_c6, multiply(sk_c6, multiply(sk_c2, sk_c1))))),
% 0.61/0.81 inference(quant_inst,[status(thm)],[])).
% 0.61/0.81 tff(103,plain,
% 0.61/0.81 (multiply(multiply(sk_c6, sk_c6), multiply(sk_c2, sk_c1)) = multiply(sk_c6, multiply(sk_c6, multiply(sk_c2, sk_c1)))),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[102, 31])).
% 0.61/0.81 tff(104,plain,
% 0.61/0.81 (multiply(sk_c6, multiply(sk_c6, multiply(sk_c2, sk_c1))) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c2, sk_c1))),
% 0.61/0.81 inference(symmetry,[status(thm)],[103])).
% 0.61/0.81 tff(105,plain,
% 0.61/0.81 (multiply(sk_c6, multiply(sk_c2, sk_c1)) = sk_c1),
% 0.61/0.81 inference(transitivity,[status(thm)],[96, 93, 56])).
% 0.61/0.81 tff(106,plain,
% 0.61/0.81 (multiply(sk_c6, multiply(sk_c6, multiply(sk_c2, sk_c1))) = multiply(inverse(sk_c1), sk_c1)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[47, 105])).
% 0.61/0.81 tff(107,plain,
% 0.61/0.81 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c6, multiply(sk_c6, multiply(sk_c2, sk_c1)))),
% 0.61/0.81 inference(symmetry,[status(thm)],[106])).
% 0.61/0.81 tff(108,plain,
% 0.61/0.81 (identity = multiply(inverse(sk_c1), sk_c1)),
% 0.61/0.81 inference(symmetry,[status(thm)],[42])).
% 0.61/0.81 tff(109,plain,
% 0.61/0.81 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c6), sk_c6) = identity)),
% 0.61/0.81 inference(quant_inst,[status(thm)],[])).
% 0.61/0.81 tff(110,plain,
% 0.61/0.81 (multiply(inverse(sk_c6), sk_c6) = identity),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[109, 40])).
% 0.61/0.81 tff(111,plain,
% 0.61/0.81 (multiply(inverse(sk_c6), sk_c6) = multiply(inverse(sk_c6), multiply(sk_c6, sk_c6))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[99])).
% 0.61/0.81 tff(112,plain,
% 0.61/0.81 (multiply(inverse(sk_c6), multiply(sk_c6, sk_c6)) = multiply(inverse(sk_c6), sk_c6)),
% 0.66/0.81 inference(symmetry,[status(thm)],[111])).
% 0.66/0.81 tff(113,plain,
% 0.66/0.81 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c6), sk_c6), sk_c6) = multiply(inverse(sk_c6), multiply(sk_c6, sk_c6)))),
% 0.66/0.81 inference(quant_inst,[status(thm)],[])).
% 0.66/0.81 tff(114,plain,
% 0.66/0.81 (multiply(multiply(inverse(sk_c6), sk_c6), sk_c6) = multiply(inverse(sk_c6), multiply(sk_c6, sk_c6))),
% 0.66/0.81 inference(unit_resolution,[status(thm)],[113, 31])).
% 0.66/0.81 tff(115,plain,
% 0.66/0.81 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c6, sk_c1)),
% 0.66/0.81 inference(symmetry,[status(thm)],[48])).
% 0.66/0.81 tff(116,plain,
% 0.66/0.81 (multiply(inverse(sk_c6), sk_c6) = multiply(sk_c6, sk_c1)),
% 0.66/0.81 inference(transitivity,[status(thm)],[110, 108, 115])).
% 0.66/0.81 tff(117,plain,
% 0.66/0.81 (multiply(multiply(inverse(sk_c6), sk_c6), sk_c6) = multiply(multiply(sk_c6, sk_c1), sk_c6)),
% 0.66/0.81 inference(monotonicity,[status(thm)],[116])).
% 0.66/0.81 tff(118,plain,
% 0.66/0.81 (multiply(multiply(sk_c6, sk_c1), sk_c6) = multiply(multiply(inverse(sk_c6), sk_c6), sk_c6)),
% 0.66/0.81 inference(symmetry,[status(thm)],[117])).
% 0.66/0.81 tff(119,plain,
% 0.66/0.81 (sk_c6 = sk_c1),
% 0.66/0.81 inference(transitivity,[status(thm)],[54, 51, 118, 114, 112, 110, 108, 107, 104, 101, 96, 93, 56])).
% 0.66/0.81 tff(120,plain,
% 0.66/0.81 (inverse(sk_c6) = inverse(sk_c1)),
% 0.66/0.81 inference(monotonicity,[status(thm)],[119])).
% 0.66/0.81 tff(121,plain,
% 0.66/0.81 (inverse(sk_c6) = sk_c5),
% 0.66/0.81 inference(transitivity,[status(thm)],[120, 46, 54, 51, 33, 24, 12])).
% 0.66/0.81 tff(122,plain,
% 0.66/0.81 ($false),
% 0.66/0.81 inference(unit_resolution,[status(thm)],[13, 121])).
% 0.66/0.81 tff(123,plain,(inverse(sk_c6) = sk_c5), inference(lemma,lemma(discharge,[]))).
% 0.66/0.81 tff(124,plain,
% 0.66/0.81 (sk_c5 = inverse(sk_c6)),
% 0.66/0.81 inference(symmetry,[status(thm)],[123])).
% 0.66/0.81 tff(125,plain,
% 0.66/0.81 (multiply(sk_c5, sk_c6) = multiply(inverse(sk_c6), sk_c6)),
% 0.66/0.81 inference(monotonicity,[status(thm)],[124])).
% 0.66/0.81 tff(126,plain,
% 0.66/0.81 (multiply(inverse(sk_c6), sk_c6) = multiply(sk_c5, sk_c6)),
% 0.66/0.81 inference(symmetry,[status(thm)],[125])).
% 0.66/0.81 tff(127,plain,
% 0.66/0.81 (identity = multiply(inverse(sk_c6), sk_c6)),
% 0.66/0.81 inference(symmetry,[status(thm)],[110])).
% 0.66/0.81 tff(128,plain,
% 0.66/0.81 (identity = multiply(sk_c5, sk_c6)),
% 0.66/0.81 inference(transitivity,[status(thm)],[127, 126])).
% 0.66/0.81 tff(129,plain,
% 0.66/0.81 (multiply(identity, sk_c7) = multiply(multiply(sk_c5, sk_c6), sk_c7)),
% 0.66/0.81 inference(monotonicity,[status(thm)],[128])).
% 0.66/0.81 tff(130,plain,
% 0.66/0.81 (multiply(multiply(sk_c5, sk_c6), sk_c7) = multiply(identity, sk_c7)),
% 0.66/0.81 inference(symmetry,[status(thm)],[129])).
% 0.66/0.81 tff(131,plain,
% 0.66/0.81 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c6), sk_c7) = multiply(sk_c5, multiply(sk_c6, sk_c7)))),
% 0.66/0.81 inference(quant_inst,[status(thm)],[])).
% 0.66/0.81 tff(132,plain,
% 0.66/0.81 (multiply(multiply(sk_c5, sk_c6), sk_c7) = multiply(sk_c5, multiply(sk_c6, sk_c7))),
% 0.66/0.81 inference(unit_resolution,[status(thm)],[131, 31])).
% 0.66/0.81 tff(133,plain,
% 0.66/0.81 (multiply(sk_c5, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c5, sk_c6), sk_c7)),
% 0.66/0.81 inference(symmetry,[status(thm)],[132])).
% 0.66/0.81 tff(134,plain,
% 0.66/0.81 (sk_c5 = multiply(sk_c6, sk_c7)),
% 0.66/0.81 inference(symmetry,[status(thm)],[12])).
% 0.66/0.81 tff(135,plain,
% 0.66/0.81 (multiply(sk_c5, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c6, sk_c7), sk_c5)),
% 0.66/0.81 inference(monotonicity,[status(thm)],[134, 12])).
% 0.66/0.81 tff(136,plain,
% 0.66/0.81 (multiply(multiply(sk_c6, sk_c7), sk_c5) = multiply(sk_c5, multiply(sk_c6, sk_c7))),
% 0.66/0.81 inference(symmetry,[status(thm)],[135])).
% 0.66/0.81 tff(137,plain,
% 0.66/0.81 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), sk_c5) = multiply(sk_c6, multiply(sk_c7, sk_c5)))),
% 0.66/0.81 inference(quant_inst,[status(thm)],[])).
% 0.66/0.81 tff(138,plain,
% 0.66/0.81 (multiply(multiply(sk_c6, sk_c7), sk_c5) = multiply(sk_c6, multiply(sk_c7, sk_c5))),
% 0.66/0.81 inference(unit_resolution,[status(thm)],[137, 31])).
% 0.66/0.81 tff(139,plain,
% 0.66/0.81 (multiply(sk_c6, multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c6, sk_c7), sk_c5)),
% 0.66/0.81 inference(symmetry,[status(thm)],[138])).
% 0.66/0.81 tff(140,plain,
% 0.66/0.81 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(sk_c7, sk_c5)),
% 0.66/0.81 inference(monotonicity,[status(thm)],[12])).
% 0.66/0.81 tff(141,plain,
% 0.66/0.81 ((multiply(sk_c7, multiply(sk_c6, sk_c7)) = sk_c6) <=> (multiply(sk_c7, sk_c5) = sk_c6)),
% 0.66/0.81 inference(monotonicity,[status(thm)],[140])).
% 0.66/0.81 tff(142,plain,
% 0.66/0.81 ((multiply(sk_c7, sk_c5) = sk_c6) <=> (multiply(sk_c7, multiply(sk_c6, sk_c7)) = sk_c6)),
% 0.66/0.81 inference(symmetry,[status(thm)],[141])).
% 0.66/0.81 tff(143,assumption,(~(inverse(sk_c1) = sk_c6)), introduced(assumption)).
% 0.66/0.81 tff(144,plain,
% 0.66/0.81 (((inverse(sk_c1) = sk_c6) | (multiply(sk_c7, sk_c5) = sk_c6)) <=> ((inverse(sk_c1) = sk_c6) | (multiply(sk_c7, sk_c5) = sk_c6))),
% 0.66/0.81 inference(rewrite,[status(thm)],[])).
% 0.66/0.81 tff(145,axiom,((inverse(sk_c1) = sk_c6) | (multiply(sk_c7, sk_c5) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_7')).
% 0.66/0.81 tff(146,plain,
% 0.66/0.81 ((inverse(sk_c1) = sk_c6) | (multiply(sk_c7, sk_c5) = sk_c6)),
% 0.66/0.81 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.66/0.81 tff(147,plain,
% 0.66/0.81 (multiply(sk_c7, sk_c5) = sk_c6),
% 0.66/0.81 inference(unit_resolution,[status(thm)],[146, 143])).
% 0.66/0.81 tff(148,plain,
% 0.66/0.81 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = sk_c6),
% 0.66/0.81 inference(modus_ponens,[status(thm)],[147, 142])).
% 0.66/0.81 tff(149,plain,
% 0.66/0.81 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c7, sk_c5)) = multiply(sk_c7, sk_c5))),
% 0.66/0.81 inference(quant_inst,[status(thm)],[])).
% 0.66/0.81 tff(150,plain,
% 0.66/0.81 (multiply(identity, multiply(sk_c7, sk_c5)) = multiply(sk_c7, sk_c5)),
% 0.66/0.81 inference(unit_resolution,[status(thm)],[149, 7])).
% 0.66/0.81 tff(151,plain,
% 0.66/0.81 (((inverse(sk_c1) = sk_c6) | (inverse(sk_c4) = sk_c7)) <=> ((inverse(sk_c1) = sk_c6) | (inverse(sk_c4) = sk_c7))),
% 0.66/0.81 inference(rewrite,[status(thm)],[])).
% 0.66/0.81 tff(152,axiom,((inverse(sk_c1) = sk_c6) | (inverse(sk_c4) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_8')).
% 0.66/0.81 tff(153,plain,
% 0.66/0.81 ((inverse(sk_c1) = sk_c6) | (inverse(sk_c4) = sk_c7)),
% 0.66/0.81 inference(modus_ponens,[status(thm)],[152, 151])).
% 0.66/0.81 tff(154,plain,
% 0.66/0.81 (inverse(sk_c4) = sk_c7),
% 0.66/0.81 inference(unit_resolution,[status(thm)],[153, 143])).
% 0.66/0.81 tff(155,plain,
% 0.66/0.81 (sk_c7 = inverse(sk_c4)),
% 0.66/0.81 inference(symmetry,[status(thm)],[154])).
% 0.66/0.81 tff(156,plain,
% 0.66/0.81 (multiply(sk_c7, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 0.66/0.81 inference(monotonicity,[status(thm)],[155])).
% 0.66/0.81 tff(157,plain,
% 0.66/0.81 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c7, sk_c4)),
% 0.66/0.81 inference(symmetry,[status(thm)],[156])).
% 0.66/0.81 tff(158,plain,
% 0.66/0.81 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c4), sk_c4) = identity)),
% 0.66/0.81 inference(quant_inst,[status(thm)],[])).
% 0.66/0.81 tff(159,plain,
% 0.66/0.81 (multiply(inverse(sk_c4), sk_c4) = identity),
% 0.66/0.81 inference(unit_resolution,[status(thm)],[158, 40])).
% 0.66/0.81 tff(160,plain,
% 0.66/0.81 (identity = multiply(inverse(sk_c4), sk_c4)),
% 0.66/0.81 inference(symmetry,[status(thm)],[159])).
% 0.66/0.81 tff(161,plain,
% 0.66/0.81 (identity = multiply(sk_c7, sk_c4)),
% 0.66/0.81 inference(transitivity,[status(thm)],[160, 157])).
% 0.66/0.81 tff(162,plain,
% 0.66/0.81 (multiply(identity, multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c5))),
% 0.66/0.81 inference(monotonicity,[status(thm)],[161])).
% 0.66/0.81 tff(163,plain,
% 0.66/0.81 (multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c5)) = multiply(identity, multiply(sk_c7, sk_c5))),
% 0.66/0.81 inference(symmetry,[status(thm)],[162])).
% 0.66/0.81 tff(164,plain,
% 0.66/0.81 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c5)) = multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c5))))),
% 0.66/0.81 inference(quant_inst,[status(thm)],[])).
% 0.66/0.81 tff(165,plain,
% 0.66/0.81 (multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c5)) = multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c5)))),
% 0.66/0.81 inference(unit_resolution,[status(thm)],[164, 31])).
% 0.66/0.81 tff(166,plain,
% 0.66/0.81 (multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c5))),
% 0.66/0.81 inference(symmetry,[status(thm)],[165])).
% 0.66/0.81 tff(167,assumption,(~(multiply(sk_c4, sk_c6) = sk_c7)), introduced(assumption)).
% 0.66/0.81 tff(168,plain,
% 0.66/0.81 (((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c4, sk_c6) = sk_c7)) <=> ((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c4, sk_c6) = sk_c7))),
% 0.66/0.81 inference(rewrite,[status(thm)],[])).
% 0.66/0.81 tff(169,axiom,((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c4, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_5')).
% 0.66/0.81 tff(170,plain,
% 0.66/0.81 ((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c4, sk_c6) = sk_c7)),
% 0.66/0.81 inference(modus_ponens,[status(thm)],[169, 168])).
% 0.66/0.81 tff(171,plain,
% 0.66/0.81 (multiply(sk_c1, sk_c6) = sk_c7),
% 0.66/0.81 inference(unit_resolution,[status(thm)],[170, 167])).
% 0.66/0.81 tff(172,plain,
% 0.66/0.81 (sk_c7 = multiply(sk_c1, sk_c6)),
% 0.66/0.81 inference(symmetry,[status(thm)],[171])).
% 0.66/0.81 tff(173,plain,
% 0.66/0.81 (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c1, sk_c6))),
% 0.66/0.81 inference(monotonicity,[status(thm)],[172])).
% 0.66/0.81 tff(174,plain,
% 0.66/0.81 (multiply(sk_c6, multiply(sk_c1, sk_c6)) = multiply(sk_c6, sk_c7)),
% 0.66/0.81 inference(symmetry,[status(thm)],[173])).
% 0.66/0.81 tff(175,plain,
% 0.66/0.81 (((inverse(sk_c1) = sk_c6) | (multiply(sk_c4, sk_c6) = sk_c7)) <=> ((inverse(sk_c1) = sk_c6) | (multiply(sk_c4, sk_c6) = sk_c7))),
% 0.66/0.81 inference(rewrite,[status(thm)],[])).
% 0.66/0.81 tff(176,axiom,((inverse(sk_c1) = sk_c6) | (multiply(sk_c4, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_9')).
% 0.66/0.81 tff(177,plain,
% 0.66/0.81 ((inverse(sk_c1) = sk_c6) | (multiply(sk_c4, sk_c6) = sk_c7)),
% 0.66/0.81 inference(modus_ponens,[status(thm)],[176, 175])).
% 0.66/0.81 tff(178,plain,
% 0.66/0.81 (inverse(sk_c1) = sk_c6),
% 0.66/0.81 inference(unit_resolution,[status(thm)],[177, 167])).
% 0.66/0.81 tff(179,plain,
% 0.66/0.81 (sk_c6 = inverse(sk_c1)),
% 0.66/0.81 inference(symmetry,[status(thm)],[178])).
% 0.66/0.81 tff(180,plain,
% 0.66/0.81 (multiply(sk_c6, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 0.66/0.81 inference(monotonicity,[status(thm)],[179])).
% 0.66/0.81 tff(181,plain,
% 0.66/0.81 (multiply(sk_c6, sk_c1) = identity),
% 0.66/0.81 inference(transitivity,[status(thm)],[180, 42])).
% 0.66/0.81 tff(182,plain,
% 0.66/0.81 (multiply(multiply(sk_c6, sk_c1), sk_c6) = multiply(identity, sk_c6)),
% 0.66/0.81 inference(monotonicity,[status(thm)],[181])).
% 0.66/0.81 tff(183,plain,
% 0.66/0.81 (multiply(identity, sk_c6) = multiply(multiply(sk_c6, sk_c1), sk_c6)),
% 0.66/0.81 inference(symmetry,[status(thm)],[182])).
% 0.66/0.81 tff(184,plain,
% 0.66/0.81 (((inverse(sk_c2) = sk_c7) | (multiply(sk_c4, sk_c6) = sk_c7)) <=> ((inverse(sk_c2) = sk_c7) | (multiply(sk_c4, sk_c6) = sk_c7))),
% 0.66/0.81 inference(rewrite,[status(thm)],[])).
% 0.66/0.81 tff(185,axiom,((inverse(sk_c2) = sk_c7) | (multiply(sk_c4, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_21')).
% 0.66/0.81 tff(186,plain,
% 0.66/0.81 ((inverse(sk_c2) = sk_c7) | (multiply(sk_c4, sk_c6) = sk_c7)),
% 0.66/0.81 inference(modus_ponens,[status(thm)],[185, 184])).
% 0.66/0.81 tff(187,plain,
% 0.66/0.81 (inverse(sk_c2) = sk_c7),
% 0.66/0.81 inference(unit_resolution,[status(thm)],[186, 167])).
% 0.66/0.81 tff(188,plain,
% 0.66/0.81 (sk_c7 = inverse(sk_c2)),
% 0.66/0.81 inference(symmetry,[status(thm)],[187])).
% 0.66/0.81 tff(189,plain,
% 0.66/0.81 (multiply(sk_c7, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 0.66/0.81 inference(monotonicity,[status(thm)],[188])).
% 0.66/0.81 tff(190,plain,
% 0.66/0.81 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c7, sk_c2)),
% 0.66/0.81 inference(symmetry,[status(thm)],[189])).
% 0.66/0.81 tff(191,plain,
% 0.66/0.81 (identity = multiply(sk_c7, sk_c2)),
% 0.66/0.81 inference(transitivity,[status(thm)],[66, 190])).
% 0.66/0.81 tff(192,plain,
% 0.66/0.81 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c2), sk_c7)),
% 0.66/0.81 inference(monotonicity,[status(thm)],[191])).
% 0.66/0.81 tff(193,plain,
% 0.66/0.81 (multiply(multiply(sk_c7, sk_c2), sk_c7) = multiply(identity, sk_c7)),
% 0.66/0.81 inference(symmetry,[status(thm)],[192])).
% 0.66/0.81 tff(194,plain,
% 0.66/0.81 (((multiply(sk_c2, sk_c7) = sk_c3) | (multiply(sk_c4, sk_c6) = sk_c7)) <=> ((multiply(sk_c2, sk_c7) = sk_c3) | (multiply(sk_c4, sk_c6) = sk_c7))),
% 0.66/0.81 inference(rewrite,[status(thm)],[])).
% 0.66/0.81 tff(195,axiom,((multiply(sk_c2, sk_c7) = sk_c3) | (multiply(sk_c4, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_17')).
% 0.66/0.81 tff(196,plain,
% 0.66/0.81 ((multiply(sk_c2, sk_c7) = sk_c3) | (multiply(sk_c4, sk_c6) = sk_c7)),
% 0.66/0.81 inference(modus_ponens,[status(thm)],[195, 194])).
% 0.66/0.81 tff(197,plain,
% 0.66/0.81 (multiply(sk_c2, sk_c7) = sk_c3),
% 0.66/0.81 inference(unit_resolution,[status(thm)],[196, 167])).
% 0.66/0.81 tff(198,plain,
% 0.66/0.81 (multiply(sk_c7, multiply(sk_c2, sk_c7)) = multiply(sk_c7, sk_c3)),
% 0.66/0.81 inference(monotonicity,[status(thm)],[197])).
% 0.66/0.81 tff(199,plain,
% 0.66/0.81 (multiply(sk_c7, sk_c3) = multiply(sk_c7, multiply(sk_c2, sk_c7))),
% 0.66/0.81 inference(symmetry,[status(thm)],[198])).
% 0.66/0.81 tff(200,plain,
% 0.66/0.81 (((multiply(sk_c4, sk_c6) = sk_c7) | (multiply(sk_c7, sk_c3) = sk_c6)) <=> ((multiply(sk_c4, sk_c6) = sk_c7) | (multiply(sk_c7, sk_c3) = sk_c6))),
% 0.66/0.81 inference(rewrite,[status(thm)],[])).
% 0.66/0.81 tff(201,plain,
% 0.66/0.81 (((multiply(sk_c7, sk_c3) = sk_c6) | (multiply(sk_c4, sk_c6) = sk_c7)) <=> ((multiply(sk_c4, sk_c6) = sk_c7) | (multiply(sk_c7, sk_c3) = sk_c6))),
% 0.66/0.81 inference(rewrite,[status(thm)],[])).
% 0.66/0.81 tff(202,axiom,((multiply(sk_c7, sk_c3) = sk_c6) | (multiply(sk_c4, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_13')).
% 0.66/0.81 tff(203,plain,
% 0.66/0.81 ((multiply(sk_c4, sk_c6) = sk_c7) | (multiply(sk_c7, sk_c3) = sk_c6)),
% 0.66/0.81 inference(modus_ponens,[status(thm)],[202, 201])).
% 0.66/0.81 tff(204,plain,
% 0.66/0.81 ((multiply(sk_c4, sk_c6) = sk_c7) | (multiply(sk_c7, sk_c3) = sk_c6)),
% 0.66/0.81 inference(modus_ponens,[status(thm)],[203, 200])).
% 0.66/0.81 tff(205,plain,
% 0.66/0.81 (multiply(sk_c7, sk_c3) = sk_c6),
% 0.66/0.81 inference(unit_resolution,[status(thm)],[204, 167])).
% 0.66/0.81 tff(206,plain,
% 0.66/0.81 (sk_c6 = multiply(sk_c7, sk_c3)),
% 0.66/0.81 inference(symmetry,[status(thm)],[205])).
% 0.66/0.81 tff(207,plain,
% 0.66/0.81 (sk_c6 = sk_c7),
% 0.66/0.81 inference(transitivity,[status(thm)],[206, 199, 72, 193, 9])).
% 0.66/0.81 tff(208,plain,
% 0.66/0.81 (multiply(sk_c6, sk_c2) = multiply(sk_c7, sk_c2)),
% 0.66/0.81 inference(monotonicity,[status(thm)],[207])).
% 0.66/0.81 tff(209,plain,
% 0.66/0.81 (multiply(sk_c7, sk_c2) = multiply(sk_c6, sk_c2)),
% 0.66/0.81 inference(symmetry,[status(thm)],[208])).
% 0.66/0.81 tff(210,plain,
% 0.66/0.81 (identity = multiply(sk_c6, sk_c2)),
% 0.66/0.81 inference(transitivity,[status(thm)],[66, 190, 209])).
% 0.66/0.81 tff(211,plain,
% 0.66/0.81 (multiply(identity, sk_c1) = multiply(multiply(sk_c6, sk_c2), sk_c1)),
% 0.66/0.81 inference(monotonicity,[status(thm)],[210])).
% 0.66/0.81 tff(212,plain,
% 0.66/0.81 (multiply(multiply(sk_c6, sk_c2), sk_c1) = multiply(identity, sk_c1)),
% 0.66/0.81 inference(symmetry,[status(thm)],[211])).
% 0.66/0.81 tff(213,plain,
% 0.66/0.81 (multiply(sk_c6, sk_c6) = multiply(sk_c6, sk_c7)),
% 0.66/0.81 inference(monotonicity,[status(thm)],[207])).
% 0.66/0.81 tff(214,plain,
% 0.66/0.81 (multiply(sk_c6, sk_c7) = multiply(sk_c6, sk_c6)),
% 0.66/0.81 inference(symmetry,[status(thm)],[213])).
% 0.66/0.81 tff(215,plain,
% 0.66/0.81 (sk_c6 = multiply(sk_c6, sk_c6)),
% 0.66/0.81 inference(transitivity,[status(thm)],[54, 183, 33, 174, 214])).
% 0.66/0.81 tff(216,plain,
% 0.66/0.81 (multiply(sk_c6, multiply(sk_c2, sk_c1)) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c2, sk_c1))),
% 0.66/0.81 inference(monotonicity,[status(thm)],[215])).
% 0.66/0.81 tff(217,plain,
% 0.66/0.81 (multiply(multiply(sk_c6, sk_c6), multiply(sk_c2, sk_c1)) = multiply(sk_c6, multiply(sk_c2, sk_c1))),
% 0.66/0.81 inference(symmetry,[status(thm)],[216])).
% 0.66/0.81 tff(218,plain,
% 0.66/0.81 (multiply(sk_c6, multiply(sk_c2, sk_c1)) = sk_c1),
% 0.66/0.81 inference(transitivity,[status(thm)],[96, 212, 56])).
% 0.66/0.81 tff(219,plain,
% 0.66/0.81 (multiply(sk_c6, multiply(sk_c6, multiply(sk_c2, sk_c1))) = multiply(inverse(sk_c1), sk_c1)),
% 0.66/0.81 inference(monotonicity,[status(thm)],[179, 218])).
% 0.66/0.81 tff(220,plain,
% 0.66/0.81 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c6, multiply(sk_c6, multiply(sk_c2, sk_c1)))),
% 0.66/0.81 inference(symmetry,[status(thm)],[219])).
% 0.66/0.81 tff(221,plain,
% 0.66/0.81 (multiply(inverse(sk_c6), sk_c6) = multiply(inverse(sk_c6), multiply(sk_c6, sk_c6))),
% 0.66/0.81 inference(monotonicity,[status(thm)],[215])).
% 0.66/0.81 tff(222,plain,
% 0.66/0.81 (multiply(inverse(sk_c6), multiply(sk_c6, sk_c6)) = multiply(inverse(sk_c6), sk_c6)),
% 0.66/0.81 inference(symmetry,[status(thm)],[221])).
% 0.66/0.81 tff(223,plain,
% 0.66/0.81 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c6, sk_c1)),
% 0.66/0.81 inference(symmetry,[status(thm)],[180])).
% 0.66/0.81 tff(224,plain,
% 0.66/0.81 (multiply(inverse(sk_c6), sk_c6) = multiply(sk_c6, sk_c1)),
% 0.66/0.81 inference(transitivity,[status(thm)],[110, 108, 223])).
% 0.66/0.81 tff(225,plain,
% 0.66/0.81 (multiply(multiply(inverse(sk_c6), sk_c6), sk_c6) = multiply(multiply(sk_c6, sk_c1), sk_c6)),
% 0.66/0.81 inference(monotonicity,[status(thm)],[224])).
% 0.66/0.81 tff(226,plain,
% 0.66/0.81 (multiply(multiply(sk_c6, sk_c1), sk_c6) = multiply(multiply(inverse(sk_c6), sk_c6), sk_c6)),
% 0.66/0.81 inference(symmetry,[status(thm)],[225])).
% 0.66/0.81 tff(227,plain,
% 0.66/0.81 (sk_c6 = sk_c1),
% 0.66/0.81 inference(transitivity,[status(thm)],[54, 183, 226, 114, 222, 110, 108, 220, 104, 217, 96, 212, 56])).
% 0.66/0.82 tff(228,plain,
% 0.66/0.82 (inverse(sk_c6) = inverse(sk_c1)),
% 0.66/0.82 inference(monotonicity,[status(thm)],[227])).
% 0.66/0.82 tff(229,plain,
% 0.66/0.82 (inverse(sk_c6) = sk_c5),
% 0.66/0.82 inference(transitivity,[status(thm)],[228, 178, 54, 183, 33, 174, 12])).
% 0.66/0.82 tff(230,plain,
% 0.66/0.82 (multiply(sk_c6, sk_c1) = multiply(sk_c7, sk_c2)),
% 0.66/0.82 inference(transitivity,[status(thm)],[180, 42, 66, 190])).
% 0.66/0.82 tff(231,plain,
% 0.66/0.82 (multiply(multiply(sk_c6, sk_c1), sk_c7) = multiply(multiply(sk_c7, sk_c2), sk_c7)),
% 0.66/0.82 inference(monotonicity,[status(thm)],[230])).
% 0.66/0.82 tff(232,plain,
% 0.66/0.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c1), sk_c7) = multiply(sk_c6, multiply(sk_c1, sk_c7)))),
% 0.66/0.82 inference(quant_inst,[status(thm)],[])).
% 0.66/0.82 tff(233,plain,
% 0.66/0.82 (multiply(multiply(sk_c6, sk_c1), sk_c7) = multiply(sk_c6, multiply(sk_c1, sk_c7))),
% 0.66/0.82 inference(unit_resolution,[status(thm)],[232, 31])).
% 0.66/0.82 tff(234,plain,
% 0.66/0.82 (multiply(sk_c6, multiply(sk_c1, sk_c7)) = multiply(multiply(sk_c6, sk_c1), sk_c7)),
% 0.66/0.82 inference(symmetry,[status(thm)],[233])).
% 0.66/0.82 tff(235,plain,
% 0.66/0.82 (sk_c7 = multiply(identity, sk_c7)),
% 0.66/0.82 inference(symmetry,[status(thm)],[9])).
% 0.66/0.82 tff(236,plain,
% 0.66/0.82 (sk_c7 = sk_c6),
% 0.66/0.82 inference(transitivity,[status(thm)],[235, 192, 71, 198, 205])).
% 0.66/0.82 tff(237,plain,
% 0.66/0.82 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(sk_c6, multiply(sk_c1, sk_c7))),
% 0.66/0.82 inference(monotonicity,[status(thm)],[236])).
% 0.66/0.82 tff(238,plain,
% 0.66/0.82 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6),
% 0.66/0.82 inference(transitivity,[status(thm)],[237, 234, 231, 71, 198, 205])).
% 0.66/0.82 tff(239,plain,
% 0.66/0.82 (inverse(sk_c1) = sk_c7),
% 0.66/0.82 inference(transitivity,[status(thm)],[178, 206, 199, 72, 193, 9])).
% 0.66/0.82 tff(240,plain,
% 0.66/0.82 (multiply(sk_c6, multiply(sk_c1, sk_c6)) = multiply(multiply(sk_c6, sk_c1), sk_c6)),
% 0.66/0.82 inference(symmetry,[status(thm)],[33])).
% 0.66/0.82 tff(241,plain,
% 0.66/0.82 (sk_c5 = sk_c7),
% 0.66/0.82 inference(transitivity,[status(thm)],[134, 173, 240, 182, 53, 206, 199, 72, 193, 9])).
% 0.66/0.82 tff(242,plain,
% 0.66/0.82 (multiply(sk_c7, sk_c5) = multiply(sk_c6, sk_c7)),
% 0.66/0.82 inference(monotonicity,[status(thm)],[236, 241])).
% 0.66/0.82 tff(243,plain,
% 0.66/0.82 (multiply(sk_c7, sk_c5) = sk_c6),
% 0.66/0.82 inference(transitivity,[status(thm)],[242, 173, 240, 182, 53])).
% 0.66/0.82 tff(244,plain,
% 0.66/0.82 (^[X4: $i, X2: $i, X1: $i] : refl(((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6))))),
% 0.66/0.82 inference(bind,[status(th)],[])).
% 0.66/0.82 tff(245,plain,
% 0.66/0.82 (![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6))) <=> ![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))),
% 0.66/0.82 inference(quant_intro,[status(thm)],[244])).
% 0.66/0.82 tff(246,plain,
% 0.66/0.82 (![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6))) <=> ![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))),
% 0.66/0.82 inference(rewrite,[status(thm)],[])).
% 0.66/0.82 tff(247,plain,
% 0.66/0.82 (^[X4: $i, X2: $i, X1: $i] : rewrite(((~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X2) = sk_c6))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6))))),
% 0.66/0.82 inference(bind,[status(th)],[])).
% 0.66/0.82 tff(248,plain,
% 0.66/0.82 (![X4: $i, X2: $i, X1: $i] : ((~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X2) = sk_c6))) <=> ![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))),
% 0.66/0.82 inference(quant_intro,[status(thm)],[247])).
% 0.66/0.82 tff(249,plain,
% 0.66/0.82 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X2) = sk_c6))) <=> ![X4: $i, X2: $i, X1: $i] : ((~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X2) = sk_c6)))),
% 0.66/0.82 inference(elim_unused_vars,[status(thm)],[])).
% 0.66/0.82 tff(250,plain,
% 0.66/0.82 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X2) = sk_c6)))),
% 0.66/0.82 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.66/0.82 tff(251,plain,
% 0.66/0.82 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7))) <=> ![X4: $i, X2: $i, X1: $i] : ((~(multiply(X2, sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)) | (~(inverse(X2) = sk_c6)))),
% 0.66/0.82 inference(transitivity,[status(thm)],[250, 249])).
% 0.66/0.82 tff(252,plain,
% 0.66/0.82 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7))) <=> ![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))),
% 0.66/0.82 inference(transitivity,[status(thm)],[251, 248])).
% 0.66/0.82 tff(253,plain,
% 0.66/0.82 (^[X4: $i, X3: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)))), (((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(sk_c7, X3) = sk_c6))) <=> (((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X3) = sk_c6))))), rewrite((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X3) = sk_c6))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c7, X3) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)))), (((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(sk_c7, X3) = sk_c6))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c7, X3) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7))))), ((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X4, sk_c7) = X3))) <=> (((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c7, X3) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(multiply(X4, sk_c7) = X3))))), rewrite((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c7, X3) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(multiply(X4, sk_c7) = X3))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)))), ((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X4, sk_c7) = X3))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7))))), (((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X4, sk_c7) = X3))) | (~(inverse(X4) = sk_c7))) <=> (((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(inverse(X4) = sk_c7))))), rewrite((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(inverse(X4) = sk_c7))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)))), (((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X4, sk_c7) = X3))) | (~(inverse(X4) = sk_c7))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7))))), ((((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X4, sk_c7) = X3))) | (~(inverse(X4) = sk_c7))) | (~(inverse(sk_c6) = sk_c5))) <=> (((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(inverse(sk_c6) = sk_c5))))), rewrite((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(inverse(sk_c6) = sk_c5))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)))), ((((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X4, sk_c7) = X3))) | (~(inverse(X4) = sk_c7))) | (~(inverse(sk_c6) = sk_c5))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7))))), (((((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X4, sk_c7) = X3))) | (~(inverse(X4) = sk_c7))) | (~(inverse(sk_c6) = sk_c5))) | (~(multiply(sk_c7, sk_c5) = sk_c6))) <=> (((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(multiply(sk_c7, sk_c5) = sk_c6))))), rewrite((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(multiply(sk_c7, sk_c5) = sk_c6))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)))), (((((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X4, sk_c7) = X3))) | (~(inverse(X4) = sk_c7))) | (~(inverse(sk_c6) = sk_c5))) | (~(multiply(sk_c7, sk_c5) = sk_c6))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7))))), ((((((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X4, sk_c7) = X3))) | (~(inverse(X4) = sk_c7))) | (~(inverse(sk_c6) = sk_c5))) | (~(multiply(sk_c7, sk_c5) = sk_c6))) | (~(inverse(X1) = sk_c7))) <=> (((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(inverse(X1) = sk_c7))))), rewrite((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(inverse(X1) = sk_c7))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)))), ((((((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X4, sk_c7) = X3))) | (~(inverse(X4) = sk_c7))) | (~(inverse(sk_c6) = sk_c5))) | (~(multiply(sk_c7, sk_c5) = sk_c6))) | (~(inverse(X1) = sk_c7))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7))))), (((((((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X4, sk_c7) = X3))) | (~(inverse(X4) = sk_c7))) | (~(inverse(sk_c6) = sk_c5))) | (~(multiply(sk_c7, sk_c5) = sk_c6))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) <=> (((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))))), rewrite((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)))), (((((((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X4, sk_c7) = X3))) | (~(inverse(X4) = sk_c7))) | (~(inverse(sk_c6) = sk_c5))) | (~(multiply(sk_c7, sk_c5) = sk_c6))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)))))),
% 0.66/0.82 inference(bind,[status(th)],[])).
% 0.66/0.82 tff(254,plain,
% 0.66/0.82 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((((((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X4, sk_c7) = X3))) | (~(inverse(X4) = sk_c7))) | (~(inverse(sk_c6) = sk_c5))) | (~(multiply(sk_c7, sk_c5) = sk_c6))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = X3)) | (~(multiply(sk_c7, X3) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)))),
% 0.66/0.82 inference(quant_intro,[status(thm)],[253])).
% 0.66/0.82 tff(255,plain,
% 0.66/0.82 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((((((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X4, sk_c7) = X3))) | (~(inverse(X4) = sk_c7))) | (~(inverse(sk_c6) = sk_c5))) | (~(multiply(sk_c7, sk_c5) = sk_c6))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) <=> ![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))),
% 0.66/0.82 inference(transitivity,[status(thm)],[254, 252])).
% 0.66/0.82 tff(256,axiom,(![X4: $i, X3: $i, X2: $i, X1: $i] : ((((((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(sk_c7, X3) = sk_c6))) | (~(multiply(X4, sk_c7) = X3))) | (~(inverse(X4) = sk_c7))) | (~(inverse(sk_c6) = sk_c5))) | (~(multiply(sk_c7, sk_c5) = sk_c6))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_22')).
% 0.66/0.82 tff(257,plain,
% 0.66/0.82 (![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))),
% 0.66/0.82 inference(modus_ponens,[status(thm)],[256, 255])).
% 0.66/0.82 tff(258,plain,
% 0.66/0.82 (![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))),
% 0.66/0.82 inference(modus_ponens,[status(thm)],[257, 246])).
% 0.66/0.82 tff(259,plain,(
% 0.66/0.82 ![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))),
% 0.66/0.82 inference(skolemize,[status(sab)],[258])).
% 0.66/0.82 tff(260,plain,
% 0.66/0.82 (![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))),
% 0.66/0.82 inference(modus_ponens,[status(thm)],[259, 245])).
% 0.66/0.82 tff(261,plain,
% 0.66/0.82 (((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)))),
% 0.66/0.82 inference(rewrite,[status(thm)],[])).
% 0.66/0.82 tff(262,plain,
% 0.66/0.82 (((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)))),
% 0.66/0.83 inference(rewrite,[status(thm)],[])).
% 0.66/0.83 tff(263,plain,
% 0.66/0.83 (((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6))))),
% 0.66/0.83 inference(monotonicity,[status(thm)],[262])).
% 0.66/0.83 tff(264,plain,
% 0.66/0.83 (((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)))),
% 0.66/0.83 inference(transitivity,[status(thm)],[263, 261])).
% 0.66/0.83 tff(265,plain,
% 0.66/0.83 ((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6)))),
% 0.66/0.83 inference(quant_inst,[status(thm)],[])).
% 0.66/0.83 tff(266,plain,
% 0.66/0.83 ((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6))),
% 0.66/0.83 inference(modus_ponens,[status(thm)],[265, 264])).
% 0.66/0.83 tff(267,plain,
% 0.66/0.83 ((~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c1, sk_c7)) = sk_c6))),
% 0.66/0.83 inference(unit_resolution,[status(thm)],[266, 12, 171, 178, 260])).
% 0.66/0.83 tff(268,plain,
% 0.66/0.83 (~(inverse(sk_c6) = sk_c5)),
% 0.66/0.83 inference(unit_resolution,[status(thm)],[267, 243, 239, 238])).
% 0.66/0.83 tff(269,plain,
% 0.66/0.83 ($false),
% 0.66/0.83 inference(unit_resolution,[status(thm)],[268, 229])).
% 0.66/0.83 tff(270,plain,(multiply(sk_c4, sk_c6) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 0.66/0.83 tff(271,plain,
% 0.66/0.83 (multiply(sk_c4, multiply(sk_c7, sk_c5)) = multiply(sk_c4, sk_c6)),
% 0.66/0.83 inference(monotonicity,[status(thm)],[147])).
% 0.66/0.83 tff(272,plain,
% 0.66/0.83 (multiply(sk_c4, multiply(sk_c7, sk_c5)) = sk_c7),
% 0.66/0.83 inference(transitivity,[status(thm)],[271, 270])).
% 0.66/0.83 tff(273,plain,
% 0.66/0.83 (multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c5))) = multiply(sk_c7, sk_c7)),
% 0.66/0.83 inference(monotonicity,[status(thm)],[272])).
% 0.66/0.83 tff(274,plain,
% 0.66/0.83 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c5)))),
% 0.66/0.83 inference(symmetry,[status(thm)],[273])).
% 0.66/0.83 tff(275,plain,
% 0.66/0.83 (multiply(sk_c7, sk_c7) = multiply(multiply(identity, sk_c7), sk_c7)),
% 0.66/0.83 inference(monotonicity,[status(thm)],[235])).
% 0.66/0.83 tff(276,plain,
% 0.66/0.83 (multiply(multiply(identity, sk_c7), sk_c7) = multiply(sk_c7, sk_c7)),
% 0.66/0.83 inference(symmetry,[status(thm)],[275])).
% 0.66/0.83 tff(277,plain,
% 0.66/0.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c7), sk_c7) = multiply(identity, multiply(sk_c7, sk_c7)))),
% 0.66/0.83 inference(quant_inst,[status(thm)],[])).
% 0.66/0.83 tff(278,plain,
% 0.66/0.83 (multiply(multiply(identity, sk_c7), sk_c7) = multiply(identity, multiply(sk_c7, sk_c7))),
% 0.66/0.83 inference(unit_resolution,[status(thm)],[277, 31])).
% 0.66/0.83 tff(279,plain,
% 0.66/0.83 (multiply(identity, multiply(sk_c7, sk_c7)) = multiply(multiply(identity, sk_c7), sk_c7)),
% 0.66/0.83 inference(symmetry,[status(thm)],[278])).
% 0.66/0.83 tff(280,plain,
% 0.66/0.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c7), sk_c5) = multiply(sk_c4, multiply(sk_c7, sk_c5)))),
% 0.66/0.83 inference(quant_inst,[status(thm)],[])).
% 0.66/0.83 tff(281,plain,
% 0.66/0.83 (multiply(multiply(sk_c4, sk_c7), sk_c5) = multiply(sk_c4, multiply(sk_c7, sk_c5))),
% 0.66/0.83 inference(unit_resolution,[status(thm)],[280, 31])).
% 0.66/0.83 tff(282,plain,
% 0.66/0.83 (multiply(multiply(sk_c4, sk_c7), sk_c5) = sk_c7),
% 0.66/0.83 inference(transitivity,[status(thm)],[281, 271, 270])).
% 0.66/0.83 tff(283,plain,
% 0.66/0.83 (multiply(sk_c7, multiply(multiply(sk_c4, sk_c7), sk_c5)) = multiply(sk_c7, sk_c7)),
% 0.66/0.83 inference(monotonicity,[status(thm)],[282])).
% 0.66/0.83 tff(284,plain,
% 0.66/0.83 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(multiply(sk_c4, sk_c7), sk_c5))),
% 0.66/0.83 inference(symmetry,[status(thm)],[283])).
% 0.66/0.83 tff(285,plain,
% 0.66/0.83 (multiply(multiply(sk_c7, sk_c5), multiply(sk_c4, multiply(sk_c6, sk_c6))) = multiply(sk_c6, multiply(sk_c4, multiply(sk_c6, sk_c6)))),
% 0.66/0.83 inference(monotonicity,[status(thm)],[147])).
% 0.66/0.83 tff(286,plain,
% 0.66/0.83 (multiply(sk_c6, multiply(sk_c4, multiply(sk_c6, sk_c6))) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c4, multiply(sk_c6, sk_c6)))),
% 0.66/0.83 inference(symmetry,[status(thm)],[285])).
% 0.66/0.83 tff(287,plain,
% 0.66/0.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, sk_c6)) = multiply(sk_c6, multiply(sk_c4, multiply(sk_c6, sk_c6))))),
% 0.66/0.83 inference(quant_inst,[status(thm)],[])).
% 0.66/0.83 tff(288,plain,
% 0.66/0.83 (multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, sk_c6)) = multiply(sk_c6, multiply(sk_c4, multiply(sk_c6, sk_c6)))),
% 0.66/0.83 inference(unit_resolution,[status(thm)],[287, 31])).
% 0.66/0.83 tff(289,plain,
% 0.66/0.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c4), sk_c6), sk_c6) = multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, sk_c6)))),
% 0.66/0.83 inference(quant_inst,[status(thm)],[])).
% 0.66/0.83 tff(290,plain,
% 0.66/0.83 (multiply(multiply(multiply(sk_c6, sk_c4), sk_c6), sk_c6) = multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, sk_c6))),
% 0.66/0.83 inference(unit_resolution,[status(thm)],[289, 31])).
% 0.66/0.83 tff(291,plain,
% 0.66/0.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c4), sk_c6) = multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.66/0.83 inference(quant_inst,[status(thm)],[])).
% 0.66/0.83 tff(292,plain,
% 0.66/0.83 (multiply(multiply(sk_c6, sk_c4), sk_c6) = multiply(sk_c6, multiply(sk_c4, sk_c6))),
% 0.66/0.83 inference(unit_resolution,[status(thm)],[291, 31])).
% 0.66/0.83 tff(293,plain,
% 0.66/0.83 (multiply(sk_c6, multiply(sk_c4, sk_c6)) = multiply(multiply(sk_c6, sk_c4), sk_c6)),
% 0.66/0.83 inference(symmetry,[status(thm)],[292])).
% 0.66/0.83 tff(294,plain,
% 0.66/0.83 (multiply(sk_c6, multiply(sk_c4, sk_c6)) = multiply(sk_c6, sk_c7)),
% 0.66/0.83 inference(monotonicity,[status(thm)],[270])).
% 0.66/0.83 tff(295,plain,
% 0.66/0.83 (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c4, sk_c6))),
% 0.66/0.83 inference(symmetry,[status(thm)],[294])).
% 0.66/0.83 tff(296,plain,
% 0.66/0.83 (inverse(sk_c6) = multiply(multiply(sk_c6, sk_c4), sk_c6)),
% 0.66/0.83 inference(transitivity,[status(thm)],[123, 134, 295, 293])).
% 0.66/0.83 tff(297,plain,
% 0.66/0.83 (multiply(inverse(sk_c6), sk_c6) = multiply(multiply(multiply(sk_c6, sk_c4), sk_c6), sk_c6)),
% 0.66/0.83 inference(monotonicity,[status(thm)],[296])).
% 0.66/0.83 tff(298,plain,
% 0.66/0.83 (identity = multiply(multiply(sk_c7, sk_c5), multiply(sk_c4, multiply(sk_c6, sk_c6)))),
% 0.66/0.83 inference(transitivity,[status(thm)],[127, 297, 290, 288, 286])).
% 0.66/0.83 tff(299,plain,
% 0.66/0.83 (multiply(identity, multiply(sk_c7, sk_c7)) = multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c4, multiply(sk_c6, sk_c6))), multiply(sk_c7, multiply(multiply(sk_c4, sk_c7), sk_c5)))),
% 0.66/0.83 inference(monotonicity,[status(thm)],[298, 284])).
% 0.66/0.83 tff(300,plain,
% 0.66/0.83 (multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c4, multiply(sk_c6, sk_c6))), multiply(sk_c7, multiply(multiply(sk_c4, sk_c7), sk_c5))) = multiply(identity, multiply(sk_c7, sk_c7))),
% 0.66/0.83 inference(symmetry,[status(thm)],[299])).
% 0.66/0.83 tff(301,plain,
% 0.66/0.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c4, multiply(sk_c6, sk_c6))), multiply(sk_c7, multiply(multiply(sk_c4, sk_c7), sk_c5))) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, multiply(multiply(sk_c4, sk_c7), sk_c5)))))),
% 0.66/0.83 inference(quant_inst,[status(thm)],[])).
% 0.66/0.83 tff(302,plain,
% 0.66/0.83 (multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c4, multiply(sk_c6, sk_c6))), multiply(sk_c7, multiply(multiply(sk_c4, sk_c7), sk_c5))) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, multiply(multiply(sk_c4, sk_c7), sk_c5))))),
% 0.66/0.83 inference(unit_resolution,[status(thm)],[301, 31])).
% 0.66/0.83 tff(303,plain,
% 0.66/0.83 (multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, multiply(multiply(sk_c4, sk_c7), sk_c5)))) = multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c4, multiply(sk_c6, sk_c6))), multiply(sk_c7, multiply(multiply(sk_c4, sk_c7), sk_c5)))),
% 0.66/0.83 inference(symmetry,[status(thm)],[302])).
% 0.66/0.83 tff(304,plain,
% 0.66/0.83 (multiply(sk_c7, multiply(sk_c7, sk_c5)) = multiply(sk_c7, sk_c6)),
% 0.66/0.83 inference(monotonicity,[status(thm)],[147])).
% 0.66/0.83 tff(305,plain,
% 0.66/0.83 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c7, sk_c5))),
% 0.66/0.83 inference(symmetry,[status(thm)],[304])).
% 0.66/0.83 tff(306,plain,
% 0.66/0.83 (sk_c7 = multiply(sk_c4, sk_c6)),
% 0.66/0.83 inference(symmetry,[status(thm)],[270])).
% 0.66/0.83 tff(307,plain,
% 0.66/0.83 (multiply(sk_c7, sk_c6) = multiply(multiply(sk_c4, sk_c6), sk_c6)),
% 0.66/0.83 inference(monotonicity,[status(thm)],[306])).
% 0.66/0.83 tff(308,plain,
% 0.66/0.83 (multiply(multiply(sk_c4, sk_c6), sk_c6) = multiply(sk_c7, sk_c6)),
% 0.66/0.83 inference(symmetry,[status(thm)],[307])).
% 0.66/0.83 tff(309,plain,
% 0.66/0.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c6), sk_c6) = multiply(sk_c4, multiply(sk_c6, sk_c6)))),
% 0.66/0.83 inference(quant_inst,[status(thm)],[])).
% 0.66/0.83 tff(310,plain,
% 0.66/0.83 (multiply(multiply(sk_c4, sk_c6), sk_c6) = multiply(sk_c4, multiply(sk_c6, sk_c6))),
% 0.66/0.83 inference(unit_resolution,[status(thm)],[309, 31])).
% 0.66/0.83 tff(311,plain,
% 0.66/0.83 (multiply(sk_c4, multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c4, sk_c6), sk_c6)),
% 0.66/0.83 inference(symmetry,[status(thm)],[310])).
% 0.66/0.83 tff(312,plain,
% 0.66/0.83 (multiply(sk_c4, multiply(sk_c6, sk_c6)) = multiply(sk_c7, multiply(sk_c7, sk_c5))),
% 0.66/0.83 inference(transitivity,[status(thm)],[311, 308, 305])).
% 0.66/0.83 tff(313,plain,
% 0.66/0.83 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c7, sk_c5)), sk_c7)),
% 0.66/0.83 inference(monotonicity,[status(thm)],[312])).
% 0.66/0.83 tff(314,plain,
% 0.66/0.83 (multiply(multiply(sk_c7, multiply(sk_c7, sk_c5)), sk_c7) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c7)),
% 0.66/0.83 inference(symmetry,[status(thm)],[313])).
% 0.66/0.83 tff(315,plain,
% 0.66/0.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c7, sk_c5)), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c7, sk_c5), sk_c7)))),
% 0.66/0.83 inference(quant_inst,[status(thm)],[])).
% 0.66/0.83 tff(316,plain,
% 0.66/0.83 (multiply(multiply(sk_c7, multiply(sk_c7, sk_c5)), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c7, sk_c5), sk_c7))),
% 0.66/0.83 inference(unit_resolution,[status(thm)],[315, 31])).
% 0.66/0.83 tff(317,plain,
% 0.66/0.83 (multiply(sk_c7, multiply(multiply(sk_c7, sk_c5), sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c7, sk_c5)), sk_c7)),
% 0.66/0.83 inference(symmetry,[status(thm)],[316])).
% 0.66/0.83 tff(318,plain,
% 0.66/0.83 (multiply(multiply(sk_c7, sk_c5), sk_c7) = multiply(sk_c6, sk_c7)),
% 0.66/0.83 inference(monotonicity,[status(thm)],[147])).
% 0.66/0.83 tff(319,plain,
% 0.66/0.83 (multiply(multiply(sk_c7, sk_c5), sk_c7) = sk_c5),
% 0.66/0.83 inference(transitivity,[status(thm)],[318, 12])).
% 0.66/0.83 tff(320,plain,
% 0.66/0.83 (multiply(sk_c7, multiply(multiply(sk_c7, sk_c5), sk_c7)) = multiply(sk_c7, sk_c5)),
% 0.66/0.83 inference(monotonicity,[status(thm)],[319])).
% 0.66/0.83 tff(321,plain,
% 0.66/0.83 (multiply(sk_c7, sk_c5) = multiply(sk_c7, multiply(multiply(sk_c7, sk_c5), sk_c7))),
% 0.66/0.83 inference(symmetry,[status(thm)],[320])).
% 0.66/0.83 tff(322,plain,
% 0.66/0.83 (sk_c6 = multiply(sk_c7, sk_c5)),
% 0.66/0.83 inference(symmetry,[status(thm)],[147])).
% 0.66/0.83 tff(323,plain,
% 0.66/0.83 (sk_c6 = multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c7)),
% 0.66/0.83 inference(transitivity,[status(thm)],[322, 321, 317, 314])).
% 0.66/0.83 tff(324,plain,
% 0.66/0.83 (multiply(sk_c6, sk_c7) = multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c7), sk_c7)),
% 0.66/0.83 inference(monotonicity,[status(thm)],[323])).
% 0.66/0.83 tff(325,plain,
% 0.66/0.83 (multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c7), sk_c7) = multiply(sk_c6, sk_c7)),
% 0.66/0.83 inference(symmetry,[status(thm)],[324])).
% 0.66/0.83 tff(326,plain,
% 0.66/0.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c7), sk_c7) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c7)))),
% 0.66/0.83 inference(quant_inst,[status(thm)],[])).
% 0.66/0.83 tff(327,plain,
% 0.66/0.83 (multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c7), sk_c7) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c7))),
% 0.66/0.83 inference(unit_resolution,[status(thm)],[326, 31])).
% 0.66/0.83 tff(328,plain,
% 0.66/0.83 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c7)) = multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c7), sk_c7)),
% 0.66/0.83 inference(symmetry,[status(thm)],[327])).
% 0.66/0.83 tff(329,plain,
% 0.66/0.83 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, multiply(multiply(sk_c4, sk_c7), sk_c5))) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c7))),
% 0.66/0.83 inference(monotonicity,[status(thm)],[283])).
% 0.66/0.83 tff(330,plain,
% 0.66/0.83 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, multiply(multiply(sk_c4, sk_c7), sk_c5))) = sk_c5),
% 0.66/0.83 inference(transitivity,[status(thm)],[329, 328, 325, 12])).
% 0.66/0.83 tff(331,plain,
% 0.66/0.83 (multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, multiply(multiply(sk_c4, sk_c7), sk_c5)))) = multiply(multiply(sk_c7, sk_c5), sk_c5)),
% 0.66/0.83 inference(monotonicity,[status(thm)],[330])).
% 0.66/0.83 tff(332,plain,
% 0.66/0.83 (multiply(multiply(sk_c7, sk_c5), sk_c5) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, multiply(multiply(sk_c4, sk_c7), sk_c5))))),
% 0.66/0.83 inference(symmetry,[status(thm)],[331])).
% 0.66/0.83 tff(333,plain,
% 0.66/0.83 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c7) = multiply(sk_c7, sk_c5)),
% 0.66/0.83 inference(transitivity,[status(thm)],[313, 316, 320])).
% 0.66/0.83 tff(334,plain,
% 0.66/0.83 (multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c7), sk_c5) = multiply(multiply(sk_c7, sk_c5), sk_c5)),
% 0.66/0.83 inference(monotonicity,[status(thm)],[333])).
% 0.66/0.83 tff(335,plain,
% 0.66/0.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c7), sk_c5) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c5)))),
% 0.66/0.83 inference(quant_inst,[status(thm)],[])).
% 0.66/0.83 tff(336,plain,
% 0.66/0.83 (multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c7), sk_c5) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c5))),
% 0.66/0.83 inference(unit_resolution,[status(thm)],[335, 31])).
% 0.66/0.83 tff(337,plain,
% 0.66/0.83 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c7), sk_c5)),
% 0.66/0.83 inference(symmetry,[status(thm)],[336])).
% 0.66/0.83 tff(338,plain,
% 0.66/0.83 (multiply(sk_c7, sk_c7) = multiply(sk_c7, sk_c5)),
% 0.66/0.83 inference(transitivity,[status(thm)],[274, 166, 163, 150])).
% 0.66/0.83 tff(339,plain,
% 0.66/0.83 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c5))),
% 0.66/0.83 inference(monotonicity,[status(thm)],[338])).
% 0.66/0.83 tff(340,plain,
% 0.66/0.83 (inverse(sk_c6) = sk_c6),
% 0.66/0.83 inference(transitivity,[status(thm)],[123, 134, 324, 327, 339, 337, 334, 332, 303, 300, 279, 276, 274, 166, 163, 150, 147])).
% 0.66/0.83 tff(341,plain,
% 0.66/0.83 (multiply(sk_c5, multiply(sk_c7, sk_c5)) = multiply(inverse(sk_c6), sk_c6)),
% 0.66/0.83 inference(monotonicity,[status(thm)],[124, 147])).
% 0.66/0.83 tff(342,plain,
% 0.66/0.83 (multiply(inverse(sk_c6), sk_c6) = multiply(sk_c5, multiply(sk_c7, sk_c5))),
% 0.66/0.83 inference(symmetry,[status(thm)],[341])).
% 0.66/0.83 tff(343,plain,
% 0.66/0.83 (identity = multiply(sk_c5, multiply(sk_c7, sk_c5))),
% 0.66/0.83 inference(transitivity,[status(thm)],[127, 342])).
% 0.66/0.83 tff(344,plain,
% 0.66/0.83 (multiply(identity, sk_c7) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7)),
% 0.66/0.83 inference(monotonicity,[status(thm)],[343])).
% 0.66/0.83 tff(345,plain,
% 0.66/0.83 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7) = multiply(identity, sk_c7)),
% 0.66/0.83 inference(symmetry,[status(thm)],[344])).
% 0.66/0.83 tff(346,plain,
% 0.66/0.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7) = multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), sk_c7)))),
% 0.66/0.83 inference(quant_inst,[status(thm)],[])).
% 0.66/0.83 tff(347,plain,
% 0.66/0.83 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7) = multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), sk_c7))),
% 0.66/0.83 inference(unit_resolution,[status(thm)],[346, 31])).
% 0.66/0.83 tff(348,plain,
% 0.66/0.83 (multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), sk_c7)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7)),
% 0.66/0.83 inference(symmetry,[status(thm)],[347])).
% 0.66/0.83 tff(349,plain,
% 0.66/0.83 (multiply(sk_c6, sk_c7) = multiply(multiply(sk_c7, sk_c5), sk_c7)),
% 0.66/0.83 inference(symmetry,[status(thm)],[318])).
% 0.66/0.83 tff(350,plain,
% 0.66/0.83 (sk_c5 = multiply(multiply(sk_c7, sk_c5), sk_c7)),
% 0.66/0.83 inference(transitivity,[status(thm)],[134, 349])).
% 0.66/0.83 tff(351,plain,
% 0.66/0.83 (multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), sk_c7)) = multiply(multiply(multiply(sk_c7, sk_c5), sk_c7), sk_c5)),
% 0.66/0.83 inference(monotonicity,[status(thm)],[350, 319])).
% 0.66/0.83 tff(352,plain,
% 0.66/0.83 (multiply(multiply(multiply(sk_c7, sk_c5), sk_c7), sk_c5) = multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), sk_c7))),
% 0.66/0.83 inference(symmetry,[status(thm)],[351])).
% 0.66/0.83 tff(353,plain,
% 0.66/0.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c5), sk_c7), sk_c5) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)))),
% 0.66/0.83 inference(quant_inst,[status(thm)],[])).
% 0.66/0.83 tff(354,plain,
% 0.66/0.83 (multiply(multiply(multiply(sk_c7, sk_c5), sk_c7), sk_c5) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))),
% 0.66/0.83 inference(unit_resolution,[status(thm)],[353, 31])).
% 0.66/0.83 tff(355,plain,
% 0.66/0.83 (multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(sk_c7, sk_c5), sk_c7), sk_c5)),
% 0.66/0.83 inference(symmetry,[status(thm)],[354])).
% 0.66/0.83 tff(356,plain,
% 0.66/0.83 (multiply(sk_c6, sk_c6) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))),
% 0.66/0.83 inference(monotonicity,[status(thm)],[322, 322])).
% 0.66/0.83 tff(357,plain,
% 0.66/0.83 (multiply(sk_c6, sk_c6) = sk_c7),
% 0.66/0.83 inference(transitivity,[status(thm)],[356, 355, 352, 348, 345, 9])).
% 0.66/0.83 tff(358,plain,
% 0.66/0.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c5), sk_c5) = multiply(sk_c7, multiply(sk_c5, sk_c5)))),
% 0.66/0.83 inference(quant_inst,[status(thm)],[])).
% 0.66/0.83 tff(359,plain,
% 0.66/0.83 (multiply(multiply(sk_c7, sk_c5), sk_c5) = multiply(sk_c7, multiply(sk_c5, sk_c5))),
% 0.66/0.83 inference(unit_resolution,[status(thm)],[358, 31])).
% 0.66/0.83 tff(360,plain,
% 0.66/0.83 (multiply(sk_c7, multiply(sk_c5, sk_c5)) = multiply(multiply(sk_c7, sk_c5), sk_c5)),
% 0.66/0.83 inference(symmetry,[status(thm)],[359])).
% 0.66/0.83 tff(361,plain,
% 0.66/0.83 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c7, multiply(sk_c5, sk_c5))) = multiply(sk_c7, multiply(sk_c5, sk_c5)))),
% 0.66/0.83 inference(quant_inst,[status(thm)],[])).
% 0.66/0.83 tff(362,plain,
% 0.66/0.83 (multiply(identity, multiply(sk_c7, multiply(sk_c5, sk_c5))) = multiply(sk_c7, multiply(sk_c5, sk_c5))),
% 0.66/0.83 inference(unit_resolution,[status(thm)],[361, 7])).
% 0.66/0.83 tff(363,plain,
% 0.66/0.83 (multiply(identity, multiply(sk_c7, multiply(sk_c5, sk_c5))) = multiply(multiply(sk_c7, sk_c4), multiply(multiply(sk_c7, sk_c5), sk_c5))),
% 0.66/0.83 inference(monotonicity,[status(thm)],[161, 360])).
% 0.66/0.83 tff(364,plain,
% 0.66/0.83 (multiply(multiply(sk_c7, sk_c4), multiply(multiply(sk_c7, sk_c5), sk_c5)) = multiply(identity, multiply(sk_c7, multiply(sk_c5, sk_c5)))),
% 0.66/0.83 inference(symmetry,[status(thm)],[363])).
% 0.66/0.83 tff(365,plain,
% 0.66/0.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c4), multiply(multiply(sk_c7, sk_c5), sk_c5)) = multiply(sk_c7, multiply(sk_c4, multiply(multiply(sk_c7, sk_c5), sk_c5))))),
% 0.66/0.83 inference(quant_inst,[status(thm)],[])).
% 0.66/0.83 tff(366,plain,
% 0.66/0.83 (multiply(multiply(sk_c7, sk_c4), multiply(multiply(sk_c7, sk_c5), sk_c5)) = multiply(sk_c7, multiply(sk_c4, multiply(multiply(sk_c7, sk_c5), sk_c5)))),
% 0.66/0.83 inference(unit_resolution,[status(thm)],[365, 31])).
% 0.66/0.83 tff(367,plain,
% 0.66/0.83 (multiply(sk_c7, multiply(sk_c4, multiply(multiply(sk_c7, sk_c5), sk_c5))) = multiply(multiply(sk_c7, sk_c4), multiply(multiply(sk_c7, sk_c5), sk_c5))),
% 0.66/0.83 inference(symmetry,[status(thm)],[366])).
% 0.66/0.83 tff(368,plain,
% 0.66/0.83 (multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), sk_c5) = multiply(sk_c7, sk_c5)),
% 0.66/0.83 inference(monotonicity,[status(thm)],[272])).
% 0.66/0.83 tff(369,plain,
% 0.66/0.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), sk_c5) = multiply(sk_c4, multiply(multiply(sk_c7, sk_c5), sk_c5)))),
% 0.66/0.83 inference(quant_inst,[status(thm)],[])).
% 0.66/0.83 tff(370,plain,
% 0.66/0.83 (multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), sk_c5) = multiply(sk_c4, multiply(multiply(sk_c7, sk_c5), sk_c5))),
% 0.66/0.83 inference(unit_resolution,[status(thm)],[369, 31])).
% 0.66/0.83 tff(371,plain,
% 0.66/0.83 (multiply(sk_c4, multiply(multiply(sk_c7, sk_c5), sk_c5)) = multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), sk_c5)),
% 0.66/0.83 inference(symmetry,[status(thm)],[370])).
% 0.66/0.83 tff(372,plain,
% 0.66/0.83 (multiply(sk_c4, multiply(multiply(sk_c7, sk_c5), sk_c5)) = sk_c6),
% 0.66/0.83 inference(transitivity,[status(thm)],[371, 368, 147])).
% 0.66/0.83 tff(373,plain,
% 0.66/0.83 (multiply(sk_c7, multiply(sk_c4, multiply(multiply(sk_c7, sk_c5), sk_c5))) = multiply(sk_c7, sk_c6)),
% 0.66/0.83 inference(monotonicity,[status(thm)],[372])).
% 0.66/0.83 tff(374,plain,
% 0.66/0.83 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c4, multiply(multiply(sk_c7, sk_c5), sk_c5)))),
% 0.66/0.83 inference(symmetry,[status(thm)],[373])).
% 0.66/0.83 tff(375,plain,
% 0.66/0.83 (multiply(sk_c4, multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c7, sk_c5), sk_c5)),
% 0.66/0.83 inference(transitivity,[status(thm)],[311, 308, 374, 367, 364, 362, 360])).
% 0.66/0.83 tff(376,plain,
% 0.66/0.83 (multiply(identity, multiply(sk_c4, multiply(sk_c6, sk_c6))) = multiply(multiply(sk_c7, sk_c4), multiply(multiply(sk_c7, sk_c5), sk_c5))),
% 0.66/0.83 inference(monotonicity,[status(thm)],[161, 375])).
% 0.66/0.83 tff(377,plain,
% 0.66/0.83 (multiply(sk_c5, multiply(sk_c7, sk_c5)) = identity),
% 0.66/0.83 inference(transitivity,[status(thm)],[341, 110])).
% 0.66/0.83 tff(378,plain,
% 0.66/0.83 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c4, multiply(sk_c6, sk_c6))) = multiply(identity, multiply(sk_c4, multiply(sk_c6, sk_c6)))),
% 0.66/0.83 inference(monotonicity,[status(thm)],[377])).
% 0.66/0.83 tff(379,plain,
% 0.66/0.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c4, multiply(sk_c6, sk_c6))) = multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), multiply(sk_c4, multiply(sk_c6, sk_c6)))))),
% 0.66/0.83 inference(quant_inst,[status(thm)],[])).
% 0.66/0.83 tff(380,plain,
% 0.66/0.83 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c4, multiply(sk_c6, sk_c6))) = multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), multiply(sk_c4, multiply(sk_c6, sk_c6))))),
% 0.66/0.83 inference(unit_resolution,[status(thm)],[379, 31])).
% 0.66/0.83 tff(381,plain,
% 0.66/0.83 (multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), multiply(sk_c4, multiply(sk_c6, sk_c6)))) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c4, multiply(sk_c6, sk_c6)))),
% 0.66/0.83 inference(symmetry,[status(thm)],[380])).
% 0.66/0.83 tff(382,plain,
% 0.66/0.83 (multiply(sk_c5, identity) = multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), multiply(sk_c4, multiply(sk_c6, sk_c6))))),
% 0.66/0.83 inference(monotonicity,[status(thm)],[298])).
% 0.66/0.83 tff(383,plain,
% 0.66/0.83 (multiply(sk_c5, multiply(sk_c5, multiply(sk_c7, sk_c5))) = multiply(sk_c5, identity)),
% 0.66/0.83 inference(monotonicity,[status(thm)],[377])).
% 0.66/0.83 tff(384,plain,
% 0.66/0.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c5), multiply(sk_c7, sk_c5)) = multiply(sk_c5, multiply(sk_c5, multiply(sk_c7, sk_c5))))),
% 0.66/0.83 inference(quant_inst,[status(thm)],[])).
% 0.66/0.83 tff(385,plain,
% 0.66/0.83 (multiply(multiply(sk_c5, sk_c5), multiply(sk_c7, sk_c5)) = multiply(sk_c5, multiply(sk_c5, multiply(sk_c7, sk_c5)))),
% 0.66/0.83 inference(unit_resolution,[status(thm)],[384, 31])).
% 0.66/0.83 tff(386,plain,
% 0.66/0.83 (multiply(sk_c5, sk_c5) = multiply(multiply(multiply(sk_c7, sk_c5), sk_c7), sk_c5)),
% 0.66/0.83 inference(monotonicity,[status(thm)],[350])).
% 0.66/0.83 tff(387,plain,
% 0.66/0.83 (multiply(multiply(multiply(sk_c7, sk_c5), sk_c7), sk_c5) = multiply(sk_c5, sk_c5)),
% 0.66/0.84 inference(symmetry,[status(thm)],[386])).
% 0.66/0.84 tff(388,plain,
% 0.66/0.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)) = multiply(sk_c7, multiply(sk_c5, multiply(sk_c7, sk_c5))))),
% 0.66/0.84 inference(quant_inst,[status(thm)],[])).
% 0.66/0.84 tff(389,plain,
% 0.66/0.84 (multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)) = multiply(sk_c7, multiply(sk_c5, multiply(sk_c7, sk_c5)))),
% 0.66/0.84 inference(unit_resolution,[status(thm)],[388, 31])).
% 0.66/0.84 tff(390,plain,
% 0.66/0.84 (multiply(sk_c7, multiply(sk_c5, multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))),
% 0.66/0.84 inference(symmetry,[status(thm)],[389])).
% 0.66/0.84 tff(391,plain,
% 0.66/0.84 (multiply(sk_c7, multiply(sk_c5, multiply(sk_c7, sk_c5))) = multiply(sk_c5, sk_c5)),
% 0.66/0.84 inference(transitivity,[status(thm)],[390, 355, 387])).
% 0.66/0.84 tff(392,plain,
% 0.66/0.84 (multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c7, sk_c5))), multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c5, sk_c5), multiply(sk_c7, sk_c5))),
% 0.66/0.84 inference(monotonicity,[status(thm)],[391])).
% 0.66/0.84 tff(393,plain,
% 0.66/0.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c7, sk_c5))), sk_c7), sk_c5) = multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c7, sk_c5))), multiply(sk_c7, sk_c5)))),
% 0.66/0.84 inference(quant_inst,[status(thm)],[])).
% 0.66/0.84 tff(394,plain,
% 0.66/0.84 (multiply(multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c7, sk_c5))), sk_c7), sk_c5) = multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c7, sk_c5))), multiply(sk_c7, sk_c5))),
% 0.66/0.84 inference(unit_resolution,[status(thm)],[393, 31])).
% 0.66/0.84 tff(395,plain,
% 0.66/0.84 (multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c7, sk_c5))), sk_c7) = multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)), sk_c7)),
% 0.66/0.84 inference(monotonicity,[status(thm)],[390])).
% 0.66/0.84 tff(396,plain,
% 0.66/0.84 (multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c7, sk_c5))), sk_c7)),
% 0.66/0.84 inference(symmetry,[status(thm)],[395])).
% 0.66/0.84 tff(397,plain,
% 0.66/0.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)), sk_c7) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c7, sk_c5), sk_c7)))),
% 0.66/0.84 inference(quant_inst,[status(thm)],[])).
% 0.66/0.84 tff(398,plain,
% 0.66/0.84 (multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)), sk_c7) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c7, sk_c5), sk_c7))),
% 0.66/0.84 inference(unit_resolution,[status(thm)],[397, 31])).
% 0.66/0.84 tff(399,plain,
% 0.66/0.84 (multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c7, sk_c5), sk_c7)) = multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)), sk_c7)),
% 0.66/0.84 inference(symmetry,[status(thm)],[398])).
% 0.66/0.84 tff(400,plain,
% 0.66/0.84 (multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c7, sk_c5), sk_c7)) = multiply(multiply(sk_c7, sk_c5), sk_c5)),
% 0.66/0.84 inference(monotonicity,[status(thm)],[319])).
% 0.66/0.84 tff(401,plain,
% 0.66/0.84 (multiply(multiply(sk_c7, sk_c5), sk_c5) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c7, sk_c5), sk_c7))),
% 0.66/0.84 inference(symmetry,[status(thm)],[400])).
% 0.66/0.84 tff(402,plain,
% 0.66/0.84 (multiply(multiply(sk_c7, sk_c5), sk_c5) = multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c7, sk_c5))), sk_c7)),
% 0.66/0.84 inference(transitivity,[status(thm)],[401, 399, 396])).
% 0.66/0.84 tff(403,plain,
% 0.66/0.84 (multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), sk_c5) = multiply(multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c7, sk_c5))), sk_c7), sk_c5)),
% 0.66/0.84 inference(monotonicity,[status(thm)],[402])).
% 0.66/0.84 tff(404,plain,
% 0.66/0.84 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c7, sk_c5), sk_c5)),
% 0.66/0.84 inference(transitivity,[status(thm)],[337, 334])).
% 0.66/0.84 tff(405,plain,
% 0.66/0.84 (multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c5)), sk_c5) = multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), sk_c5)),
% 0.66/0.84 inference(monotonicity,[status(thm)],[404])).
% 0.66/0.84 tff(406,plain,
% 0.66/0.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c5)), sk_c5) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(multiply(sk_c7, sk_c5), sk_c5)))),
% 0.66/0.84 inference(quant_inst,[status(thm)],[])).
% 0.66/0.84 tff(407,plain,
% 0.66/0.84 (multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c5)), sk_c5) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(multiply(sk_c7, sk_c5), sk_c5))),
% 0.66/0.84 inference(unit_resolution,[status(thm)],[406, 31])).
% 0.66/0.84 tff(408,plain,
% 0.66/0.84 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(multiply(sk_c7, sk_c5), sk_c5)) = multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c5)), sk_c5)),
% 0.66/0.84 inference(symmetry,[status(thm)],[407])).
% 0.66/0.84 tff(409,plain,
% 0.66/0.84 (multiply(sk_c7, multiply(sk_c7, sk_c5)) = multiply(sk_c4, multiply(sk_c6, sk_c6))),
% 0.66/0.84 inference(transitivity,[status(thm)],[304, 307, 310])).
% 0.66/0.84 tff(410,plain,
% 0.66/0.84 (multiply(multiply(sk_c7, multiply(sk_c7, sk_c5)), multiply(sk_c4, multiply(sk_c6, sk_c6))) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(multiply(sk_c7, sk_c5), sk_c5))),
% 0.66/0.84 inference(monotonicity,[status(thm)],[409, 375])).
% 0.66/0.84 tff(411,plain,
% 0.66/0.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c7, sk_c5)), multiply(sk_c4, multiply(sk_c6, sk_c6))) = multiply(sk_c7, multiply(multiply(sk_c7, sk_c5), multiply(sk_c4, multiply(sk_c6, sk_c6)))))),
% 0.66/0.84 inference(quant_inst,[status(thm)],[])).
% 0.66/0.84 tff(412,plain,
% 0.66/0.84 (multiply(multiply(sk_c7, multiply(sk_c7, sk_c5)), multiply(sk_c4, multiply(sk_c6, sk_c6))) = multiply(sk_c7, multiply(multiply(sk_c7, sk_c5), multiply(sk_c4, multiply(sk_c6, sk_c6))))),
% 0.66/0.84 inference(unit_resolution,[status(thm)],[411, 31])).
% 0.66/0.84 tff(413,plain,
% 0.66/0.84 (multiply(sk_c7, multiply(multiply(sk_c7, sk_c5), multiply(sk_c4, multiply(sk_c6, sk_c6)))) = multiply(multiply(sk_c7, multiply(sk_c7, sk_c5)), multiply(sk_c4, multiply(sk_c6, sk_c6)))),
% 0.66/0.84 inference(symmetry,[status(thm)],[412])).
% 0.66/0.84 tff(414,plain,
% 0.66/0.84 (multiply(sk_c5, multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c4, multiply(sk_c6, sk_c6)))),
% 0.66/0.84 inference(transitivity,[status(thm)],[341, 297, 290, 288, 286])).
% 0.66/0.84 tff(415,plain,
% 0.66/0.84 (multiply(sk_c7, multiply(sk_c5, multiply(sk_c7, sk_c5))) = multiply(sk_c7, multiply(multiply(sk_c7, sk_c5), multiply(sk_c4, multiply(sk_c6, sk_c6))))),
% 0.66/0.84 inference(monotonicity,[status(thm)],[414])).
% 0.66/0.84 tff(416,plain,
% 0.66/0.84 (sk_c7 = sk_c6),
% 0.66/0.84 inference(transitivity,[status(thm)],[235, 344, 347, 351, 354, 389, 415, 413, 410, 408, 405, 403, 394, 392, 385, 383, 382, 381, 378, 376, 364, 362, 360, 332, 303, 300, 279, 276, 274, 166, 163, 150, 147])).
% 0.66/0.84 tff(417,plain,
% 0.66/0.84 ((inverse(sk_c6) = sk_c7) <=> (inverse(sk_c6) = sk_c6)),
% 0.66/0.84 inference(monotonicity,[status(thm)],[416])).
% 0.66/0.84 tff(418,plain,
% 0.66/0.84 ((inverse(sk_c6) = sk_c6) <=> (inverse(sk_c6) = sk_c7)),
% 0.66/0.84 inference(symmetry,[status(thm)],[417])).
% 0.66/0.84 tff(419,plain,
% 0.66/0.84 (inverse(sk_c6) = sk_c7),
% 0.66/0.84 inference(modus_ponens,[status(thm)],[340, 418])).
% 0.66/0.84 tff(420,plain,
% 0.66/0.84 (((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c6, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 0.66/0.84 inference(rewrite,[status(thm)],[])).
% 0.66/0.84 tff(421,plain,
% 0.66/0.84 (((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c6, sk_c7)) = sk_c6))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 0.66/0.84 inference(rewrite,[status(thm)],[])).
% 0.66/0.84 tff(422,plain,
% 0.66/0.84 (((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c6, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c6, sk_c7)) = sk_c6))))),
% 0.66/0.84 inference(monotonicity,[status(thm)],[421])).
% 0.66/0.84 tff(423,plain,
% 0.66/0.84 (((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c6, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 0.66/0.84 inference(transitivity,[status(thm)],[422, 420])).
% 0.66/0.84 tff(424,plain,
% 0.66/0.84 ((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 0.66/0.84 inference(quant_inst,[status(thm)],[])).
% 0.66/0.84 tff(425,plain,
% 0.66/0.84 ((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c6, sk_c7)) = sk_c6))),
% 0.66/0.84 inference(modus_ponens,[status(thm)],[424, 423])).
% 0.66/0.84 tff(426,plain,
% 0.66/0.84 ((~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c7, multiply(sk_c6, sk_c7)) = sk_c6))),
% 0.66/0.84 inference(unit_resolution,[status(thm)],[425, 12, 123, 260])).
% 0.66/0.84 tff(427,plain,
% 0.66/0.84 ($false),
% 0.66/0.84 inference(unit_resolution,[status(thm)],[426, 419, 357, 147, 340, 148])).
% 0.66/0.84 tff(428,plain,(inverse(sk_c1) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 0.66/0.84 tff(429,plain,
% 0.66/0.84 (sk_c6 = inverse(sk_c1)),
% 0.66/0.84 inference(symmetry,[status(thm)],[428])).
% 0.66/0.84 tff(430,plain,
% 0.66/0.84 (multiply(sk_c6, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 0.66/0.84 inference(monotonicity,[status(thm)],[429])).
% 0.66/0.84 tff(431,plain,
% 0.66/0.84 (multiply(sk_c6, sk_c1) = identity),
% 0.66/0.84 inference(transitivity,[status(thm)],[430, 42])).
% 0.66/0.84 tff(432,plain,
% 0.66/0.84 (multiply(multiply(sk_c6, sk_c1), sk_c6) = multiply(identity, sk_c6)),
% 0.66/0.84 inference(monotonicity,[status(thm)],[431])).
% 0.66/0.84 tff(433,assumption,(~(multiply(sk_c7, sk_c5) = sk_c6)), introduced(assumption)).
% 0.66/0.84 tff(434,plain,
% 0.66/0.84 (((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c7, sk_c5) = sk_c6)) <=> ((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c7, sk_c5) = sk_c6))),
% 0.66/0.84 inference(rewrite,[status(thm)],[])).
% 0.66/0.84 tff(435,axiom,((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c7, sk_c5) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_3')).
% 0.66/0.84 tff(436,plain,
% 0.66/0.84 ((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c7, sk_c5) = sk_c6)),
% 0.66/0.84 inference(modus_ponens,[status(thm)],[435, 434])).
% 0.66/0.84 tff(437,plain,
% 0.66/0.84 (multiply(sk_c1, sk_c6) = sk_c7),
% 0.66/0.84 inference(unit_resolution,[status(thm)],[436, 433])).
% 0.66/0.84 tff(438,plain,
% 0.66/0.84 (sk_c7 = multiply(sk_c1, sk_c6)),
% 0.66/0.84 inference(symmetry,[status(thm)],[437])).
% 0.66/0.84 tff(439,plain,
% 0.66/0.84 (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c1, sk_c6))),
% 0.66/0.84 inference(monotonicity,[status(thm)],[438])).
% 0.66/0.84 tff(440,plain,
% 0.66/0.84 (((inverse(sk_c2) = sk_c7) | (multiply(sk_c7, sk_c5) = sk_c6)) <=> ((inverse(sk_c2) = sk_c7) | (multiply(sk_c7, sk_c5) = sk_c6))),
% 0.66/0.84 inference(rewrite,[status(thm)],[])).
% 0.66/0.84 tff(441,axiom,((inverse(sk_c2) = sk_c7) | (multiply(sk_c7, sk_c5) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_19')).
% 0.66/0.84 tff(442,plain,
% 0.66/0.84 ((inverse(sk_c2) = sk_c7) | (multiply(sk_c7, sk_c5) = sk_c6)),
% 0.66/0.84 inference(modus_ponens,[status(thm)],[441, 440])).
% 0.66/0.84 tff(443,plain,
% 0.66/0.84 (inverse(sk_c2) = sk_c7),
% 0.66/0.84 inference(unit_resolution,[status(thm)],[442, 433])).
% 0.66/0.84 tff(444,plain,
% 0.66/0.84 (sk_c7 = inverse(sk_c2)),
% 0.66/0.84 inference(symmetry,[status(thm)],[443])).
% 0.66/0.84 tff(445,plain,
% 0.66/0.84 (multiply(sk_c7, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 0.66/0.84 inference(monotonicity,[status(thm)],[444])).
% 0.66/0.84 tff(446,plain,
% 0.66/0.84 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c7, sk_c2)),
% 0.66/0.84 inference(symmetry,[status(thm)],[445])).
% 0.66/0.84 tff(447,plain,
% 0.66/0.84 (identity = multiply(sk_c7, sk_c2)),
% 0.66/0.84 inference(transitivity,[status(thm)],[66, 446])).
% 0.66/0.84 tff(448,plain,
% 0.66/0.84 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c2), sk_c7)),
% 0.66/0.84 inference(monotonicity,[status(thm)],[447])).
% 0.66/0.84 tff(449,plain,
% 0.66/0.84 (multiply(multiply(sk_c7, sk_c2), sk_c7) = multiply(identity, sk_c7)),
% 0.66/0.84 inference(symmetry,[status(thm)],[448])).
% 0.66/0.84 tff(450,plain,
% 0.66/0.84 (((multiply(sk_c2, sk_c7) = sk_c3) | (multiply(sk_c7, sk_c5) = sk_c6)) <=> ((multiply(sk_c2, sk_c7) = sk_c3) | (multiply(sk_c7, sk_c5) = sk_c6))),
% 0.66/0.84 inference(rewrite,[status(thm)],[])).
% 0.66/0.84 tff(451,axiom,((multiply(sk_c2, sk_c7) = sk_c3) | (multiply(sk_c7, sk_c5) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_15')).
% 0.66/0.84 tff(452,plain,
% 0.66/0.84 ((multiply(sk_c2, sk_c7) = sk_c3) | (multiply(sk_c7, sk_c5) = sk_c6)),
% 0.66/0.84 inference(modus_ponens,[status(thm)],[451, 450])).
% 0.66/0.84 tff(453,plain,
% 0.66/0.84 (multiply(sk_c2, sk_c7) = sk_c3),
% 0.66/0.84 inference(unit_resolution,[status(thm)],[452, 433])).
% 0.66/0.84 tff(454,plain,
% 0.66/0.84 (multiply(sk_c7, multiply(sk_c2, sk_c7)) = multiply(sk_c7, sk_c3)),
% 0.66/0.84 inference(monotonicity,[status(thm)],[453])).
% 0.66/0.84 tff(455,plain,
% 0.66/0.84 (multiply(sk_c7, sk_c3) = multiply(sk_c7, multiply(sk_c2, sk_c7))),
% 0.66/0.84 inference(symmetry,[status(thm)],[454])).
% 0.66/0.84 tff(456,plain,
% 0.66/0.84 (((multiply(sk_c7, sk_c3) = sk_c6) | (multiply(sk_c7, sk_c5) = sk_c6)) <=> ((multiply(sk_c7, sk_c3) = sk_c6) | (multiply(sk_c7, sk_c5) = sk_c6))),
% 0.66/0.84 inference(rewrite,[status(thm)],[])).
% 0.66/0.84 tff(457,axiom,((multiply(sk_c7, sk_c3) = sk_c6) | (multiply(sk_c7, sk_c5) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_11')).
% 0.66/0.84 tff(458,plain,
% 0.66/0.84 ((multiply(sk_c7, sk_c3) = sk_c6) | (multiply(sk_c7, sk_c5) = sk_c6)),
% 0.66/0.84 inference(modus_ponens,[status(thm)],[457, 456])).
% 0.66/0.84 tff(459,plain,
% 0.66/0.84 (multiply(sk_c7, sk_c3) = sk_c6),
% 0.66/0.84 inference(unit_resolution,[status(thm)],[458, 433])).
% 0.66/0.84 tff(460,plain,
% 0.66/0.84 (sk_c6 = multiply(sk_c7, sk_c3)),
% 0.66/0.84 inference(symmetry,[status(thm)],[459])).
% 0.66/0.84 tff(461,plain,
% 0.66/0.84 (sk_c6 = sk_c7),
% 0.66/0.84 inference(transitivity,[status(thm)],[460, 455, 72, 449, 9])).
% 0.66/0.84 tff(462,plain,
% 0.66/0.84 (multiply(sk_c6, sk_c6) = multiply(sk_c6, sk_c7)),
% 0.66/0.84 inference(monotonicity,[status(thm)],[461])).
% 0.66/0.84 tff(463,plain,
% 0.66/0.84 (sk_c5 = sk_c6),
% 0.66/0.84 inference(transitivity,[status(thm)],[134, 439, 240, 432, 53])).
% 0.66/0.84 tff(464,plain,
% 0.66/0.84 (multiply(sk_c6, sk_c5) = multiply(sk_c6, sk_c6)),
% 0.66/0.84 inference(monotonicity,[status(thm)],[463])).
% 0.66/0.84 tff(465,plain,
% 0.66/0.84 (sk_c7 = sk_c6),
% 0.66/0.84 inference(transitivity,[status(thm)],[235, 448, 71, 454, 459])).
% 0.66/0.84 tff(466,plain,
% 0.66/0.84 (multiply(sk_c7, sk_c5) = multiply(sk_c6, sk_c5)),
% 0.66/0.84 inference(monotonicity,[status(thm)],[465])).
% 0.66/0.84 tff(467,plain,
% 0.66/0.84 (multiply(sk_c7, sk_c5) = sk_c6),
% 0.66/0.84 inference(transitivity,[status(thm)],[466, 464, 462, 439, 240, 432, 53])).
% 0.66/0.84 tff(468,plain,
% 0.66/0.84 ($false),
% 0.66/0.84 inference(unit_resolution,[status(thm)],[433, 467])).
% 0.66/0.84 tff(469,plain,(multiply(sk_c7, sk_c5) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 0.66/0.84 tff(470,plain,
% 0.66/0.84 (multiply(sk_c6, multiply(sk_c7, sk_c5)) = multiply(sk_c6, sk_c6)),
% 0.66/0.84 inference(monotonicity,[status(thm)],[469])).
% 0.66/0.84 tff(471,plain,
% 0.66/0.84 (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(sk_c7, sk_c5))),
% 0.66/0.84 inference(symmetry,[status(thm)],[470])).
% 0.66/0.84 tff(472,plain,
% 0.66/0.84 (sk_c6 = multiply(sk_c7, sk_c5)),
% 0.66/0.84 inference(symmetry,[status(thm)],[469])).
% 0.66/0.84 tff(473,plain,
% 0.66/0.84 (multiply(sk_c6, sk_c6) = multiply(multiply(sk_c7, sk_c5), sk_c6)),
% 0.66/0.84 inference(monotonicity,[status(thm)],[472])).
% 0.66/0.84 tff(474,plain,
% 0.66/0.84 (multiply(multiply(sk_c7, sk_c5), sk_c6) = multiply(sk_c6, sk_c6)),
% 0.66/0.84 inference(symmetry,[status(thm)],[473])).
% 0.66/0.84 tff(475,plain,
% 0.66/0.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c5), sk_c6) = multiply(sk_c7, multiply(sk_c5, sk_c6)))),
% 0.66/0.84 inference(quant_inst,[status(thm)],[])).
% 0.66/0.84 tff(476,plain,
% 0.66/0.84 (multiply(multiply(sk_c7, sk_c5), sk_c6) = multiply(sk_c7, multiply(sk_c5, sk_c6))),
% 0.66/0.84 inference(unit_resolution,[status(thm)],[475, 31])).
% 0.66/0.84 tff(477,plain,
% 0.66/0.84 (multiply(sk_c7, multiply(sk_c5, sk_c6)) = multiply(multiply(sk_c7, sk_c5), sk_c6)),
% 0.66/0.84 inference(symmetry,[status(thm)],[476])).
% 0.66/0.84 tff(478,plain,
% 0.66/0.84 (multiply(sk_c7, multiply(sk_c5, sk_c6)) = sk_c7),
% 0.66/0.84 inference(transitivity,[status(thm)],[477, 474, 471, 139, 136, 133, 130, 9])).
% 0.66/0.84 tff(479,plain,
% 0.66/0.84 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(multiply(sk_c5, multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4)))), multiply(sk_c5, multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4)))) = identity)),
% 0.66/0.84 inference(quant_inst,[status(thm)],[])).
% 0.66/0.84 tff(480,plain,
% 0.66/0.84 (multiply(inverse(multiply(sk_c5, multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4)))), multiply(sk_c5, multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4)))) = identity),
% 0.66/0.84 inference(unit_resolution,[status(thm)],[479, 40])).
% 0.66/0.84 tff(481,plain,
% 0.66/0.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c5), sk_c4) = multiply(sk_c7, multiply(sk_c5, sk_c4)))),
% 0.66/0.84 inference(quant_inst,[status(thm)],[])).
% 0.66/0.84 tff(482,plain,
% 0.66/0.84 (multiply(multiply(sk_c7, sk_c5), sk_c4) = multiply(sk_c7, multiply(sk_c5, sk_c4))),
% 0.66/0.84 inference(unit_resolution,[status(thm)],[481, 31])).
% 0.66/0.84 tff(483,plain,
% 0.66/0.84 (multiply(sk_c6, sk_c4) = multiply(multiply(sk_c7, sk_c5), sk_c4)),
% 0.66/0.84 inference(monotonicity,[status(thm)],[472])).
% 0.66/0.84 tff(484,plain,
% 0.66/0.84 (multiply(sk_c7, sk_c5) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 0.66/0.84 inference(monotonicity,[status(thm)],[134])).
% 0.66/0.84 tff(485,plain,
% 0.66/0.84 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(sk_c7, sk_c5)),
% 0.66/0.84 inference(symmetry,[status(thm)],[484])).
% 0.66/0.84 tff(486,plain,
% 0.66/0.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c6), sk_c7) = multiply(sk_c7, multiply(sk_c6, sk_c7)))),
% 0.66/0.84 inference(quant_inst,[status(thm)],[])).
% 0.66/0.84 tff(487,plain,
% 0.66/0.84 (multiply(multiply(sk_c7, sk_c6), sk_c7) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 0.66/0.84 inference(unit_resolution,[status(thm)],[486, 31])).
% 0.66/0.84 tff(488,plain,
% 0.66/0.84 (multiply(multiply(sk_c4, sk_c6), sk_c6) = multiply(sk_c7, sk_c6)),
% 0.66/0.84 inference(monotonicity,[status(thm)],[270])).
% 0.66/0.84 tff(489,plain,
% 0.66/0.84 (multiply(sk_c4, multiply(sk_c6, sk_c6)) = multiply(sk_c7, sk_c6)),
% 0.66/0.84 inference(transitivity,[status(thm)],[311, 488])).
% 0.66/0.84 tff(490,plain,
% 0.66/0.84 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c7) = multiply(multiply(sk_c7, sk_c6), sk_c7)),
% 0.66/0.84 inference(monotonicity,[status(thm)],[489])).
% 0.66/0.84 tff(491,plain,
% 0.66/0.84 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c7) = sk_c6),
% 0.66/0.84 inference(transitivity,[status(thm)],[490, 487, 485, 469])).
% 0.66/0.84 tff(492,plain,
% 0.66/0.84 (multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c7), sk_c4) = multiply(sk_c6, sk_c4)),
% 0.66/0.84 inference(monotonicity,[status(thm)],[491])).
% 0.66/0.84 tff(493,plain,
% 0.66/0.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c7), sk_c4) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4)))),
% 0.66/0.84 inference(quant_inst,[status(thm)],[])).
% 0.66/0.84 tff(494,plain,
% 0.66/0.84 (multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c7), sk_c4) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4))),
% 0.66/0.84 inference(unit_resolution,[status(thm)],[493, 31])).
% 0.66/0.84 tff(495,plain,
% 0.66/0.84 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4)) = multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c7), sk_c4)),
% 0.66/0.84 inference(symmetry,[status(thm)],[494])).
% 0.66/0.84 tff(496,plain,
% 0.66/0.84 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4)) = multiply(sk_c7, multiply(sk_c5, sk_c4))),
% 0.66/0.84 inference(transitivity,[status(thm)],[495, 492, 483, 482])).
% 0.66/0.84 tff(497,plain,
% 0.66/0.84 (multiply(sk_c5, multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4))) = multiply(sk_c5, multiply(sk_c7, multiply(sk_c5, sk_c4)))),
% 0.66/0.84 inference(monotonicity,[status(thm)],[496])).
% 0.66/0.84 tff(498,plain,
% 0.66/0.84 (multiply(sk_c5, multiply(sk_c7, multiply(sk_c5, sk_c4))) = multiply(sk_c5, multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4)))),
% 0.66/0.84 inference(symmetry,[status(thm)],[497])).
% 0.66/0.84 tff(499,plain,
% 0.66/0.84 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c4) = sk_c4)),
% 0.66/0.84 inference(quant_inst,[status(thm)],[])).
% 0.66/0.84 tff(500,plain,
% 0.66/0.84 (multiply(identity, sk_c4) = sk_c4),
% 0.66/0.84 inference(unit_resolution,[status(thm)],[499, 7])).
% 0.66/0.84 tff(501,plain,
% 0.66/0.84 (multiply(identity, sk_c4) = multiply(multiply(sk_c5, sk_c6), sk_c4)),
% 0.66/0.84 inference(monotonicity,[status(thm)],[128])).
% 0.66/0.84 tff(502,plain,
% 0.66/0.84 (multiply(multiply(sk_c5, sk_c6), sk_c4) = multiply(identity, sk_c4)),
% 0.66/0.84 inference(symmetry,[status(thm)],[501])).
% 0.66/0.84 tff(503,plain,
% 0.66/0.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c6), sk_c4) = multiply(sk_c5, multiply(sk_c6, sk_c4)))),
% 0.66/0.84 inference(quant_inst,[status(thm)],[])).
% 0.66/0.84 tff(504,plain,
% 0.66/0.84 (multiply(multiply(sk_c5, sk_c6), sk_c4) = multiply(sk_c5, multiply(sk_c6, sk_c4))),
% 0.66/0.84 inference(unit_resolution,[status(thm)],[503, 31])).
% 0.66/0.84 tff(505,plain,
% 0.66/0.84 (multiply(sk_c5, multiply(sk_c6, sk_c4)) = multiply(multiply(sk_c5, sk_c6), sk_c4)),
% 0.66/0.84 inference(symmetry,[status(thm)],[504])).
% 0.66/0.84 tff(506,plain,
% 0.66/0.84 (multiply(sk_c6, sk_c4) = multiply(sk_c7, multiply(sk_c5, sk_c4))),
% 0.66/0.85 inference(transitivity,[status(thm)],[483, 482])).
% 0.66/0.85 tff(507,plain,
% 0.66/0.85 (multiply(sk_c5, multiply(sk_c6, sk_c4)) = multiply(sk_c5, multiply(sk_c7, multiply(sk_c5, sk_c4)))),
% 0.66/0.85 inference(monotonicity,[status(thm)],[506])).
% 0.66/0.85 tff(508,plain,
% 0.66/0.85 (multiply(sk_c5, multiply(sk_c7, multiply(sk_c5, sk_c4))) = multiply(sk_c5, multiply(sk_c6, sk_c4))),
% 0.66/0.85 inference(symmetry,[status(thm)],[507])).
% 0.66/0.85 tff(509,plain,
% 0.66/0.85 (multiply(sk_c5, multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4))) = sk_c4),
% 0.66/0.85 inference(transitivity,[status(thm)],[497, 508, 505, 502, 500])).
% 0.66/0.85 tff(510,plain,
% 0.66/0.85 (inverse(multiply(sk_c5, multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4)))) = inverse(sk_c4)),
% 0.66/0.85 inference(monotonicity,[status(thm)],[509])).
% 0.66/0.85 tff(511,plain,
% 0.66/0.85 (inverse(sk_c4) = inverse(multiply(sk_c5, multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4))))),
% 0.66/0.85 inference(symmetry,[status(thm)],[510])).
% 0.66/0.85 tff(512,assumption,(~(multiply(sk_c1, sk_c6) = sk_c7)), introduced(assumption)).
% 0.66/0.85 tff(513,plain,
% 0.66/0.85 (((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c4) = sk_c7)) <=> ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c4) = sk_c7))),
% 0.66/0.85 inference(rewrite,[status(thm)],[])).
% 0.66/0.85 tff(514,axiom,((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c4) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_4')).
% 0.66/0.85 tff(515,plain,
% 0.66/0.85 ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c4) = sk_c7)),
% 0.66/0.85 inference(modus_ponens,[status(thm)],[514, 513])).
% 0.66/0.85 tff(516,plain,
% 0.66/0.85 ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c4) = sk_c7)),
% 0.66/0.85 inference(modus_ponens,[status(thm)],[515, 513])).
% 0.66/0.85 tff(517,plain,
% 0.66/0.85 ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c4) = sk_c7)),
% 0.66/0.85 inference(modus_ponens,[status(thm)],[516, 513])).
% 0.66/0.85 tff(518,plain,
% 0.66/0.85 ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c4) = sk_c7)),
% 0.66/0.85 inference(modus_ponens,[status(thm)],[517, 513])).
% 0.66/0.85 tff(519,plain,
% 0.66/0.85 ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c4) = sk_c7)),
% 0.66/0.85 inference(modus_ponens,[status(thm)],[518, 513])).
% 0.66/0.85 tff(520,plain,
% 0.66/0.85 (inverse(sk_c4) = sk_c7),
% 0.66/0.85 inference(unit_resolution,[status(thm)],[519, 512])).
% 0.66/0.85 tff(521,plain,
% 0.66/0.85 (sk_c7 = inverse(sk_c4)),
% 0.66/0.85 inference(symmetry,[status(thm)],[520])).
% 0.66/0.85 tff(522,plain,
% 0.66/0.85 (sk_c7 = inverse(multiply(sk_c5, multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4))))),
% 0.66/0.85 inference(transitivity,[status(thm)],[521, 511])).
% 0.66/0.85 tff(523,plain,
% 0.66/0.85 (multiply(sk_c7, multiply(sk_c5, multiply(sk_c7, multiply(sk_c5, sk_c4)))) = multiply(inverse(multiply(sk_c5, multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4)))), multiply(sk_c5, multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4))))),
% 0.66/0.85 inference(monotonicity,[status(thm)],[522, 498])).
% 0.66/0.85 tff(524,plain,
% 0.66/0.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, multiply(sk_c5, sk_c4))) = multiply(sk_c7, multiply(sk_c5, multiply(sk_c7, multiply(sk_c5, sk_c4)))))),
% 0.66/0.85 inference(quant_inst,[status(thm)],[])).
% 0.66/0.85 tff(525,plain,
% 0.66/0.85 (multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, multiply(sk_c5, sk_c4))) = multiply(sk_c7, multiply(sk_c5, multiply(sk_c7, multiply(sk_c5, sk_c4))))),
% 0.66/0.85 inference(unit_resolution,[status(thm)],[524, 31])).
% 0.66/0.85 tff(526,plain,
% 0.66/0.85 (multiply(sk_c6, multiply(sk_c7, multiply(sk_c5, sk_c4))) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, multiply(sk_c5, sk_c4)))),
% 0.66/0.85 inference(monotonicity,[status(thm)],[472])).
% 0.66/0.85 tff(527,plain,
% 0.66/0.85 (multiply(sk_c6, multiply(sk_c7, multiply(sk_c5, sk_c4))) = multiply(sk_c5, sk_c6)),
% 0.66/0.85 inference(transitivity,[status(thm)],[526, 525, 523, 480, 127, 126])).
% 0.66/0.85 tff(528,plain,
% 0.66/0.85 (multiply(multiply(sk_c6, multiply(sk_c7, multiply(sk_c5, sk_c4))), multiply(sk_c7, multiply(sk_c5, sk_c6))) = multiply(multiply(sk_c5, sk_c6), sk_c7)),
% 0.66/0.85 inference(monotonicity,[status(thm)],[527, 478])).
% 0.66/0.85 tff(529,plain,
% 0.66/0.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c7, multiply(sk_c5, sk_c4))), multiply(sk_c7, multiply(sk_c5, sk_c6))) = multiply(sk_c6, multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, multiply(sk_c5, sk_c6)))))),
% 0.70/0.85 inference(quant_inst,[status(thm)],[])).
% 0.70/0.85 tff(530,plain,
% 0.70/0.85 (multiply(multiply(sk_c6, multiply(sk_c7, multiply(sk_c5, sk_c4))), multiply(sk_c7, multiply(sk_c5, sk_c6))) = multiply(sk_c6, multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, multiply(sk_c5, sk_c6))))),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[529, 31])).
% 0.70/0.85 tff(531,plain,
% 0.70/0.85 (multiply(sk_c6, multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, multiply(sk_c5, sk_c6)))) = multiply(multiply(sk_c6, multiply(sk_c7, multiply(sk_c5, sk_c4))), multiply(sk_c7, multiply(sk_c5, sk_c6)))),
% 0.70/0.85 inference(symmetry,[status(thm)],[530])).
% 0.70/0.85 tff(532,plain,
% 0.70/0.85 (multiply(sk_c7, multiply(sk_c5, sk_c6)) = multiply(sk_c6, sk_c6)),
% 0.70/0.85 inference(transitivity,[status(thm)],[477, 474])).
% 0.70/0.85 tff(533,plain,
% 0.70/0.85 (multiply(multiply(sk_c7, sk_c5), sk_c4) = multiply(sk_c6, sk_c4)),
% 0.70/0.85 inference(symmetry,[status(thm)],[483])).
% 0.70/0.85 tff(534,plain,
% 0.70/0.85 (multiply(sk_c7, multiply(sk_c5, sk_c4)) = multiply(multiply(sk_c7, sk_c5), sk_c4)),
% 0.70/0.85 inference(symmetry,[status(thm)],[482])).
% 0.70/0.85 tff(535,plain,
% 0.70/0.85 (multiply(sk_c7, multiply(sk_c5, sk_c4)) = multiply(sk_c6, sk_c4)),
% 0.70/0.85 inference(transitivity,[status(thm)],[534, 533])).
% 0.70/0.85 tff(536,plain,
% 0.70/0.85 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, multiply(sk_c5, sk_c6))) = multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, sk_c6))),
% 0.70/0.85 inference(monotonicity,[status(thm)],[535, 532])).
% 0.70/0.85 tff(537,plain,
% 0.70/0.85 (multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, multiply(sk_c5, sk_c6)))),
% 0.70/0.85 inference(symmetry,[status(thm)],[536])).
% 0.70/0.85 tff(538,plain,
% 0.70/0.85 (identity = multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, multiply(sk_c5, sk_c6)))),
% 0.70/0.85 inference(transitivity,[status(thm)],[127, 297, 290, 537])).
% 0.70/0.85 tff(539,plain,
% 0.70/0.85 (multiply(sk_c6, identity) = multiply(sk_c6, multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, multiply(sk_c5, sk_c6))))),
% 0.70/0.85 inference(monotonicity,[status(thm)],[538])).
% 0.70/0.85 tff(540,plain,
% 0.70/0.85 (multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c7), identity) = multiply(sk_c6, identity)),
% 0.70/0.85 inference(monotonicity,[status(thm)],[491])).
% 0.70/0.85 tff(541,plain,
% 0.70/0.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c7), identity) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, identity)))),
% 0.70/0.85 inference(quant_inst,[status(thm)],[])).
% 0.70/0.85 tff(542,plain,
% 0.70/0.85 (multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c7), identity) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, identity))),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[541, 31])).
% 0.70/0.85 tff(543,plain,
% 0.70/0.85 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, identity)) = multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c7), identity)),
% 0.70/0.85 inference(symmetry,[status(thm)],[542])).
% 0.70/0.85 tff(544,plain,
% 0.70/0.85 (multiply(sk_c7, identity) = multiply(sk_c7, multiply(sk_c5, sk_c6))),
% 0.70/0.85 inference(monotonicity,[status(thm)],[128])).
% 0.70/0.85 tff(545,plain,
% 0.70/0.85 (multiply(sk_c7, multiply(sk_c5, sk_c6)) = multiply(sk_c7, identity)),
% 0.70/0.85 inference(symmetry,[status(thm)],[544])).
% 0.70/0.85 tff(546,plain,
% 0.70/0.85 (multiply(sk_c7, sk_c6) = multiply(multiply(sk_c4, sk_c6), sk_c6)),
% 0.70/0.85 inference(symmetry,[status(thm)],[488])).
% 0.70/0.85 tff(547,plain,
% 0.70/0.85 (sk_c7 = multiply(sk_c7, multiply(sk_c5, sk_c6))),
% 0.70/0.85 inference(transitivity,[status(thm)],[235, 129, 132, 135, 138, 470, 473, 476])).
% 0.70/0.85 tff(548,plain,
% 0.70/0.85 (multiply(sk_c7, sk_c6) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c6)), multiply(sk_c7, sk_c5))),
% 0.70/0.85 inference(monotonicity,[status(thm)],[547, 472])).
% 0.70/0.85 tff(549,plain,
% 0.70/0.85 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c6)), multiply(sk_c7, sk_c5)) = multiply(sk_c7, sk_c6)),
% 0.70/0.85 inference(symmetry,[status(thm)],[548])).
% 0.70/0.85 tff(550,plain,
% 0.70/0.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, multiply(sk_c5, sk_c6)), sk_c7), sk_c5) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c6)), multiply(sk_c7, sk_c5)))),
% 0.70/0.85 inference(quant_inst,[status(thm)],[])).
% 0.70/0.85 tff(551,plain,
% 0.70/0.85 (multiply(multiply(multiply(sk_c7, multiply(sk_c5, sk_c6)), sk_c7), sk_c5) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c6)), multiply(sk_c7, sk_c5))),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[550, 31])).
% 0.70/0.85 tff(552,plain,
% 0.70/0.85 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c6)), sk_c7) = multiply(multiply(sk_c6, sk_c6), sk_c7)),
% 0.70/0.85 inference(monotonicity,[status(thm)],[532])).
% 0.70/0.85 tff(553,plain,
% 0.70/0.85 (multiply(multiply(sk_c6, sk_c6), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c6)), sk_c7)),
% 0.70/0.85 inference(symmetry,[status(thm)],[552])).
% 0.70/0.85 tff(554,plain,
% 0.70/0.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c6), sk_c7) = multiply(sk_c6, multiply(sk_c6, sk_c7)))),
% 0.70/0.85 inference(quant_inst,[status(thm)],[])).
% 0.70/0.85 tff(555,plain,
% 0.70/0.85 (multiply(multiply(sk_c6, sk_c6), sk_c7) = multiply(sk_c6, multiply(sk_c6, sk_c7))),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[554, 31])).
% 0.70/0.85 tff(556,plain,
% 0.70/0.85 (multiply(sk_c6, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c6, sk_c6), sk_c7)),
% 0.70/0.85 inference(symmetry,[status(thm)],[555])).
% 0.70/0.85 tff(557,plain,
% 0.70/0.85 (multiply(sk_c6, multiply(sk_c6, sk_c7)) = multiply(sk_c6, sk_c5)),
% 0.70/0.85 inference(monotonicity,[status(thm)],[12])).
% 0.70/0.85 tff(558,plain,
% 0.70/0.85 (multiply(sk_c6, sk_c5) = multiply(sk_c6, multiply(sk_c6, sk_c7))),
% 0.70/0.85 inference(symmetry,[status(thm)],[557])).
% 0.70/0.85 tff(559,plain,
% 0.70/0.85 (multiply(sk_c6, sk_c5) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c6)), sk_c7)),
% 0.70/0.85 inference(transitivity,[status(thm)],[558, 556, 553])).
% 0.70/0.85 tff(560,plain,
% 0.70/0.85 (multiply(multiply(sk_c6, sk_c5), sk_c5) = multiply(multiply(multiply(sk_c7, multiply(sk_c5, sk_c6)), sk_c7), sk_c5)),
% 0.70/0.85 inference(monotonicity,[status(thm)],[559])).
% 0.70/0.85 tff(561,plain,
% 0.70/0.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c5), sk_c5) = multiply(sk_c6, multiply(sk_c5, sk_c5)))),
% 0.70/0.85 inference(quant_inst,[status(thm)],[])).
% 0.70/0.85 tff(562,plain,
% 0.70/0.85 (multiply(multiply(sk_c6, sk_c5), sk_c5) = multiply(sk_c6, multiply(sk_c5, sk_c5))),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[561, 31])).
% 0.70/0.85 tff(563,plain,
% 0.70/0.85 (multiply(sk_c6, multiply(sk_c5, sk_c5)) = multiply(multiply(sk_c6, sk_c5), sk_c5)),
% 0.70/0.85 inference(symmetry,[status(thm)],[562])).
% 0.70/0.85 tff(564,plain,
% 0.70/0.85 (multiply(sk_c5, sk_c5) = multiply(multiply(sk_c6, sk_c7), sk_c5)),
% 0.70/0.85 inference(monotonicity,[status(thm)],[134])).
% 0.70/0.85 tff(565,plain,
% 0.70/0.85 (multiply(multiply(sk_c6, sk_c7), sk_c5) = multiply(sk_c5, sk_c5)),
% 0.70/0.85 inference(symmetry,[status(thm)],[564])).
% 0.70/0.85 tff(566,plain,
% 0.70/0.85 (sk_c7 = multiply(sk_c5, sk_c5)),
% 0.70/0.85 inference(transitivity,[status(thm)],[235, 129, 132, 135, 565])).
% 0.70/0.85 tff(567,plain,
% 0.70/0.85 (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c5, sk_c5))),
% 0.70/0.85 inference(monotonicity,[status(thm)],[566])).
% 0.70/0.85 tff(568,plain,
% 0.70/0.85 (sk_c5 = multiply(sk_c4, multiply(sk_c6, sk_c6))),
% 0.70/0.85 inference(transitivity,[status(thm)],[134, 567, 563, 560, 551, 549, 546, 310])).
% 0.70/0.85 tff(569,plain,
% 0.70/0.85 (multiply(sk_c5, multiply(sk_c7, multiply(sk_c5, sk_c6))) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, identity))),
% 0.70/0.85 inference(monotonicity,[status(thm)],[568, 545])).
% 0.70/0.85 tff(570,plain,
% 0.70/0.85 (multiply(sk_c5, sk_c7) = multiply(sk_c5, multiply(sk_c7, multiply(sk_c5, sk_c6)))),
% 0.70/0.85 inference(monotonicity,[status(thm)],[547])).
% 0.70/0.85 tff(571,plain,
% 0.70/0.85 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c6) = multiply(multiply(sk_c6, sk_c4), sk_c6)),
% 0.70/0.85 inference(monotonicity,[status(thm)],[535])).
% 0.70/0.85 tff(572,plain,
% 0.70/0.85 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c6) = sk_c5),
% 0.70/0.85 inference(transitivity,[status(thm)],[571, 292, 294, 12])).
% 0.70/0.85 tff(573,plain,
% 0.70/0.85 (multiply(multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c6), sk_c7) = multiply(sk_c5, sk_c7)),
% 0.70/0.85 inference(monotonicity,[status(thm)],[572])).
% 0.70/0.85 tff(574,plain,
% 0.70/0.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c6), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c6, sk_c7)))),
% 0.70/0.85 inference(quant_inst,[status(thm)],[])).
% 0.70/0.85 tff(575,plain,
% 0.70/0.85 (multiply(multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c6), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c6, sk_c7))),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[574, 31])).
% 0.70/0.85 tff(576,plain,
% 0.70/0.85 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c6, sk_c7)) = multiply(multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c6), sk_c7)),
% 0.70/0.85 inference(symmetry,[status(thm)],[575])).
% 0.70/0.85 tff(577,plain,
% 0.70/0.85 (multiply(sk_c6, multiply(sk_c5, sk_c5)) = multiply(sk_c6, sk_c7)),
% 0.70/0.85 inference(symmetry,[status(thm)],[567])).
% 0.70/0.85 tff(578,plain,
% 0.70/0.85 (multiply(multiply(multiply(sk_c7, multiply(sk_c5, sk_c6)), sk_c7), sk_c5) = multiply(multiply(sk_c6, sk_c5), sk_c5)),
% 0.70/0.85 inference(symmetry,[status(thm)],[560])).
% 0.70/0.85 tff(579,plain,
% 0.70/0.85 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c6)), multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(sk_c7, multiply(sk_c5, sk_c6)), sk_c7), sk_c5)),
% 0.70/0.85 inference(symmetry,[status(thm)],[551])).
% 0.70/0.85 tff(580,plain,
% 0.70/0.85 (multiply(sk_c4, multiply(sk_c6, sk_c6)) = multiply(sk_c6, sk_c7)),
% 0.70/0.85 inference(transitivity,[status(thm)],[311, 488, 548, 579, 578, 562, 577])).
% 0.70/0.85 tff(581,plain,
% 0.70/0.85 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c4, multiply(sk_c6, sk_c6))) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c6, sk_c7))),
% 0.70/0.85 inference(monotonicity,[status(thm)],[580])).
% 0.70/0.85 tff(582,plain,
% 0.70/0.85 (multiply(sk_c7, sk_c6) = multiply(sk_c4, multiply(sk_c6, sk_c6))),
% 0.70/0.85 inference(transitivity,[status(thm)],[546, 310])).
% 0.70/0.85 tff(583,plain,
% 0.70/0.85 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c4, multiply(sk_c6, sk_c6)))),
% 0.70/0.85 inference(monotonicity,[status(thm)],[582])).
% 0.70/0.85 tff(584,plain,
% 0.70/0.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c7), sk_c6) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c6)))),
% 0.70/0.85 inference(quant_inst,[status(thm)],[])).
% 0.70/0.85 tff(585,plain,
% 0.70/0.85 (multiply(multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c7), sk_c6) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c6))),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[584, 31])).
% 0.70/0.85 tff(586,plain,
% 0.70/0.85 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c7) = multiply(multiply(sk_c6, sk_c4), sk_c7)),
% 0.70/0.85 inference(monotonicity,[status(thm)],[535])).
% 0.70/0.85 tff(587,plain,
% 0.70/0.85 (multiply(multiply(sk_c6, sk_c4), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c7)),
% 0.70/0.85 inference(symmetry,[status(thm)],[586])).
% 0.70/0.85 tff(588,plain,
% 0.70/0.85 (multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), sk_c6) = multiply(multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c7), sk_c6)),
% 0.70/0.85 inference(monotonicity,[status(thm)],[587])).
% 0.70/0.85 tff(589,plain,
% 0.70/0.85 (sk_c7 = multiply(sk_c6, sk_c6)),
% 0.70/0.85 inference(transitivity,[status(thm)],[235, 129, 132, 135, 138, 470])).
% 0.70/0.85 tff(590,plain,
% 0.70/0.85 (multiply(multiply(sk_c6, sk_c4), sk_c7) = multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, sk_c6))),
% 0.70/0.85 inference(monotonicity,[status(thm)],[589])).
% 0.70/0.85 tff(591,plain,
% 0.70/0.85 (multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c6, sk_c4), sk_c7)),
% 0.70/0.85 inference(symmetry,[status(thm)],[590])).
% 0.70/0.85 tff(592,plain,
% 0.70/0.85 (identity = multiply(multiply(sk_c6, sk_c4), sk_c7)),
% 0.70/0.85 inference(transitivity,[status(thm)],[127, 297, 290, 591])).
% 0.70/0.85 tff(593,plain,
% 0.70/0.85 (multiply(identity, sk_c6) = multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), sk_c6)),
% 0.70/0.85 inference(monotonicity,[status(thm)],[592])).
% 0.70/0.85 tff(594,plain,
% 0.70/0.85 (multiply(sk_c6, multiply(sk_c7, multiply(sk_c5, sk_c4))) = identity),
% 0.70/0.85 inference(transitivity,[status(thm)],[526, 525, 523, 480])).
% 0.70/0.85 tff(595,plain,
% 0.70/0.85 (multiply(multiply(sk_c6, multiply(sk_c7, multiply(sk_c5, sk_c4))), sk_c6) = multiply(identity, sk_c6)),
% 0.70/0.85 inference(monotonicity,[status(thm)],[594])).
% 0.70/0.85 tff(596,plain,
% 0.70/0.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c7, multiply(sk_c5, sk_c4))), sk_c6) = multiply(sk_c6, multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c6)))),
% 0.70/0.85 inference(quant_inst,[status(thm)],[])).
% 0.70/0.85 tff(597,plain,
% 0.70/0.85 (multiply(multiply(sk_c6, multiply(sk_c7, multiply(sk_c5, sk_c4))), sk_c6) = multiply(sk_c6, multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c6))),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[596, 31])).
% 0.70/0.85 tff(598,plain,
% 0.70/0.85 (multiply(sk_c6, multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c6)) = multiply(multiply(sk_c6, multiply(sk_c7, multiply(sk_c5, sk_c4))), sk_c6)),
% 0.70/0.85 inference(symmetry,[status(thm)],[597])).
% 0.70/0.85 tff(599,plain,
% 0.70/0.85 (multiply(multiply(sk_c6, sk_c4), sk_c6) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c6)),
% 0.70/0.85 inference(symmetry,[status(thm)],[571])).
% 0.70/0.85 tff(600,plain,
% 0.70/0.85 (sk_c5 = multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c6)),
% 0.70/0.85 inference(transitivity,[status(thm)],[134, 295, 293, 599])).
% 0.70/0.85 tff(601,plain,
% 0.70/0.85 (multiply(sk_c6, sk_c5) = multiply(sk_c6, multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c6))),
% 0.70/0.85 inference(monotonicity,[status(thm)],[600])).
% 0.70/0.85 tff(602,plain,
% 0.70/0.85 (multiply(sk_c4, multiply(sk_c6, sk_c6)) = sk_c5),
% 0.70/0.85 inference(transitivity,[status(thm)],[311, 488, 548, 579, 578, 562, 577, 12])).
% 0.70/0.85 tff(603,plain,
% 0.70/0.85 (multiply(sk_c6, multiply(sk_c4, multiply(sk_c6, sk_c6))) = multiply(sk_c6, sk_c5)),
% 0.70/0.85 inference(monotonicity,[status(thm)],[602])).
% 0.70/0.85 tff(604,plain,
% 0.70/0.85 (multiply(sk_c7, multiply(sk_c5, sk_c6)) = multiply(sk_c5, sk_c5)),
% 0.70/0.85 inference(transitivity,[status(thm)],[477, 474, 471, 139, 565])).
% 0.70/0.85 tff(605,plain,
% 0.70/0.85 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c6)), multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c5, sk_c5), sk_c6)),
% 0.70/0.85 inference(monotonicity,[status(thm)],[604, 469])).
% 0.70/0.85 tff(606,plain,
% 0.70/0.85 (multiply(multiply(sk_c5, sk_c5), sk_c6) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c6)), multiply(sk_c7, sk_c5))),
% 0.70/0.85 inference(symmetry,[status(thm)],[605])).
% 0.70/0.85 tff(607,plain,
% 0.70/0.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c5), sk_c6) = multiply(sk_c5, multiply(sk_c5, sk_c6)))),
% 0.70/0.85 inference(quant_inst,[status(thm)],[])).
% 0.70/0.85 tff(608,plain,
% 0.70/0.85 (multiply(multiply(sk_c5, sk_c5), sk_c6) = multiply(sk_c5, multiply(sk_c5, sk_c6))),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[607, 31])).
% 0.70/0.85 tff(609,plain,
% 0.70/0.85 (multiply(sk_c5, multiply(sk_c5, sk_c6)) = multiply(multiply(sk_c5, sk_c5), sk_c6)),
% 0.70/0.85 inference(symmetry,[status(thm)],[608])).
% 0.70/0.85 tff(610,plain,
% 0.70/0.85 (multiply(sk_c5, sk_c6) = identity),
% 0.70/0.85 inference(transitivity,[status(thm)],[125, 110])).
% 0.70/0.85 tff(611,plain,
% 0.70/0.85 (multiply(sk_c5, multiply(sk_c5, sk_c6)) = multiply(sk_c5, identity)),
% 0.70/0.85 inference(monotonicity,[status(thm)],[610])).
% 0.70/0.85 tff(612,plain,
% 0.70/0.85 (multiply(sk_c5, identity) = multiply(sk_c5, multiply(sk_c5, sk_c6))),
% 0.70/0.85 inference(symmetry,[status(thm)],[611])).
% 0.70/0.85 tff(613,plain,
% 0.70/0.85 (multiply(sk_c5, multiply(sk_c6, sk_c1)) = multiply(sk_c5, identity)),
% 0.70/0.85 inference(monotonicity,[status(thm)],[431])).
% 0.70/0.85 tff(614,plain,
% 0.70/0.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c6), sk_c1) = multiply(sk_c5, multiply(sk_c6, sk_c1)))),
% 0.70/0.85 inference(quant_inst,[status(thm)],[])).
% 0.70/0.85 tff(615,plain,
% 0.70/0.85 (multiply(multiply(sk_c5, sk_c6), sk_c1) = multiply(sk_c5, multiply(sk_c6, sk_c1))),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[614, 31])).
% 0.70/0.85 tff(616,plain,
% 0.70/0.85 (multiply(identity, sk_c1) = multiply(multiply(sk_c5, sk_c6), sk_c1)),
% 0.70/0.85 inference(monotonicity,[status(thm)],[128])).
% 0.70/0.85 tff(617,plain,
% 0.70/0.85 (sk_c1 = multiply(identity, sk_c1)),
% 0.70/0.85 inference(symmetry,[status(thm)],[56])).
% 0.70/0.85 tff(618,plain,
% 0.70/0.85 (sk_c1 = inverse(sk_c6)),
% 0.70/0.85 inference(transitivity,[status(thm)],[617, 616, 615, 613, 612, 609, 606, 579, 578, 562, 577, 12, 124])).
% 0.70/0.85 tff(619,plain,
% 0.70/0.85 (multiply(sk_c1, sk_c6) = multiply(inverse(sk_c6), sk_c6)),
% 0.70/0.85 inference(monotonicity,[status(thm)],[618])).
% 0.70/0.85 tff(620,plain,
% 0.70/0.85 (multiply(sk_c1, sk_c6) = sk_c7),
% 0.70/0.85 inference(transitivity,[status(thm)],[619, 297, 290, 288, 603, 601, 598, 595, 593, 588, 585, 583, 581, 576, 573, 570, 569, 543, 540, 539, 531, 528, 130, 9])).
% 0.70/0.85 tff(621,plain,
% 0.70/0.85 ($false),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[512, 620])).
% 0.70/0.85 tff(622,plain,(multiply(sk_c1, sk_c6) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 0.70/0.85 tff(623,plain,
% 0.70/0.85 (multiply(multiply(sk_c6, sk_c7), sk_c5) = multiply(sk_c5, multiply(sk_c6, sk_c7))),
% 0.70/0.85 inference(monotonicity,[status(thm)],[12, 134])).
% 0.70/0.85 tff(624,plain,
% 0.70/0.85 (multiply(sk_c5, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c6, sk_c7), sk_c5)),
% 0.70/0.85 inference(symmetry,[status(thm)],[623])).
% 0.70/0.85 tff(625,plain,
% 0.70/0.85 (multiply(multiply(sk_c5, sk_c6), sk_c7) = multiply(identity, sk_c7)),
% 0.70/0.85 inference(monotonicity,[status(thm)],[610])).
% 0.70/0.85 tff(626,plain,
% 0.70/0.85 (multiply(identity, sk_c7) = multiply(multiply(sk_c5, sk_c6), sk_c7)),
% 0.70/0.85 inference(symmetry,[status(thm)],[625])).
% 0.70/0.85 tff(627,plain,
% 0.70/0.85 (sk_c7 = multiply(sk_c5, sk_c5)),
% 0.70/0.85 inference(transitivity,[status(thm)],[235, 626, 132, 624, 565])).
% 0.70/0.85 tff(628,plain,
% 0.70/0.85 (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c5, sk_c5))),
% 0.70/0.85 inference(monotonicity,[status(thm)],[627])).
% 0.70/0.85 tff(629,plain,
% 0.70/0.85 (multiply(sk_c6, multiply(sk_c5, sk_c5)) = multiply(sk_c6, sk_c7)),
% 0.70/0.85 inference(symmetry,[status(thm)],[628])).
% 0.70/0.85 tff(630,plain,
% 0.70/0.85 (multiply(multiply(sk_c7, sk_c5), sk_c6) = multiply(sk_c6, sk_c6)),
% 0.70/0.85 inference(monotonicity,[status(thm)],[469])).
% 0.70/0.85 tff(631,plain,
% 0.70/0.85 (multiply(sk_c7, multiply(sk_c5, sk_c6)) = multiply(sk_c6, sk_c6)),
% 0.70/0.85 inference(transitivity,[status(thm)],[477, 630])).
% 0.70/0.85 tff(632,plain,
% 0.70/0.85 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c6)), sk_c7) = multiply(multiply(sk_c6, sk_c6), sk_c7)),
% 0.70/0.85 inference(monotonicity,[status(thm)],[631])).
% 0.70/0.85 tff(633,plain,
% 0.70/0.85 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c6)), sk_c7) = multiply(sk_c6, sk_c5)),
% 0.70/0.85 inference(transitivity,[status(thm)],[632, 555, 557])).
% 0.70/0.85 tff(634,plain,
% 0.70/0.85 (multiply(multiply(multiply(sk_c7, multiply(sk_c5, sk_c6)), sk_c7), sk_c5) = multiply(multiply(sk_c6, sk_c5), sk_c5)),
% 0.70/0.85 inference(monotonicity,[status(thm)],[633])).
% 0.70/0.85 tff(635,plain,
% 0.70/0.85 (multiply(sk_c6, sk_c6) = multiply(multiply(sk_c7, sk_c5), sk_c6)),
% 0.70/0.85 inference(symmetry,[status(thm)],[630])).
% 0.70/0.85 tff(636,plain,
% 0.70/0.85 (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(sk_c7, sk_c5))),
% 0.70/0.85 inference(monotonicity,[status(thm)],[472])).
% 0.70/0.85 tff(637,plain,
% 0.70/0.85 (multiply(sk_c6, multiply(sk_c7, sk_c5)) = multiply(sk_c6, sk_c6)),
% 0.70/0.85 inference(symmetry,[status(thm)],[636])).
% 0.70/0.85 tff(638,plain,
% 0.70/0.85 (multiply(sk_c5, sk_c5) = multiply(sk_c7, multiply(sk_c5, sk_c6))),
% 0.70/0.85 inference(transitivity,[status(thm)],[564, 138, 637, 635, 476])).
% 0.70/0.85 tff(639,plain,
% 0.70/0.85 (multiply(multiply(sk_c5, sk_c5), sk_c6) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c6)), multiply(sk_c7, sk_c5))),
% 0.70/0.85 inference(monotonicity,[status(thm)],[638, 472])).
% 0.70/0.85 tff(640,plain,
% 0.70/0.85 (multiply(sk_c5, identity) = multiply(sk_c5, multiply(sk_c5, sk_c6))),
% 0.70/0.85 inference(monotonicity,[status(thm)],[128])).
% 0.70/0.85 tff(641,plain,
% 0.70/0.85 (sk_c1 = inverse(sk_c6)),
% 0.70/0.85 inference(transitivity,[status(thm)],[617, 616, 615, 613, 640, 609, 639, 579, 634, 562, 629, 12, 124])).
% 0.70/0.85 tff(642,plain,
% 0.70/0.85 (multiply(sk_c1, sk_c6) = multiply(inverse(sk_c6), sk_c6)),
% 0.70/0.85 inference(monotonicity,[status(thm)],[641])).
% 0.70/0.85 tff(643,plain,
% 0.70/0.85 (multiply(inverse(sk_c6), sk_c6) = multiply(sk_c1, sk_c6)),
% 0.70/0.85 inference(symmetry,[status(thm)],[642])).
% 0.70/0.85 tff(644,plain,
% 0.70/0.85 (multiply(multiply(sk_c6, sk_c4), multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c6, sk_c4), sk_c6)),
% 0.70/0.85 inference(monotonicity,[status(thm)],[469])).
% 0.70/0.85 tff(645,plain,
% 0.70/0.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), sk_c5) = multiply(multiply(sk_c6, sk_c4), multiply(sk_c7, sk_c5)))),
% 0.70/0.85 inference(quant_inst,[status(thm)],[])).
% 0.70/0.85 tff(646,plain,
% 0.70/0.85 (multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), sk_c5) = multiply(multiply(sk_c6, sk_c4), multiply(sk_c7, sk_c5))),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[645, 31])).
% 0.70/0.85 tff(647,plain,
% 0.70/0.85 (multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), sk_c5) = inverse(sk_c6)),
% 0.70/0.85 inference(transitivity,[status(thm)],[646, 644, 292, 294, 12, 124])).
% 0.70/0.85 tff(648,plain,
% 0.70/0.85 (multiply(multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), sk_c5), sk_c6) = multiply(inverse(sk_c6), sk_c6)),
% 0.70/0.85 inference(monotonicity,[status(thm)],[647])).
% 0.70/0.85 tff(649,plain,
% 0.70/0.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), sk_c5), sk_c6) = multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), multiply(sk_c5, sk_c6)))),
% 0.70/0.85 inference(quant_inst,[status(thm)],[])).
% 0.70/0.85 tff(650,plain,
% 0.70/0.85 (multiply(multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), sk_c5), sk_c6) = multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), multiply(sk_c5, sk_c6))),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[649, 31])).
% 0.70/0.85 tff(651,plain,
% 0.70/0.85 (multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), multiply(sk_c5, sk_c6)) = multiply(multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), sk_c5), sk_c6)),
% 0.70/0.85 inference(symmetry,[status(thm)],[650])).
% 0.70/0.85 tff(652,plain,
% 0.70/0.85 (multiply(multiply(sk_c6, sk_c4), sk_c6) = inverse(sk_c6)),
% 0.70/0.85 inference(transitivity,[status(thm)],[292, 294, 12, 124])).
% 0.70/0.85 tff(653,plain,
% 0.70/0.85 (multiply(multiply(multiply(sk_c6, sk_c4), sk_c6), sk_c6) = multiply(inverse(sk_c6), sk_c6)),
% 0.70/0.85 inference(monotonicity,[status(thm)],[652])).
% 0.70/0.85 tff(654,plain,
% 0.70/0.85 (multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, sk_c6)) = multiply(multiply(multiply(sk_c6, sk_c4), sk_c6), sk_c6)),
% 0.70/0.85 inference(symmetry,[status(thm)],[290])).
% 0.70/0.85 tff(655,plain,
% 0.70/0.85 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, multiply(sk_c5, sk_c6))) = multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, sk_c6))),
% 0.70/0.85 inference(monotonicity,[status(thm)],[535, 631])).
% 0.70/0.85 tff(656,plain,
% 0.70/0.85 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, multiply(sk_c5, sk_c6))) = multiply(sk_c5, sk_c6)),
% 0.70/0.85 inference(transitivity,[status(thm)],[655, 654, 653, 126])).
% 0.70/0.85 tff(657,plain,
% 0.70/0.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c4), sk_c7) = multiply(sk_c6, multiply(sk_c4, sk_c7)))),
% 0.70/0.85 inference(quant_inst,[status(thm)],[])).
% 0.70/0.85 tff(658,plain,
% 0.70/0.85 (multiply(multiply(sk_c6, sk_c4), sk_c7) = multiply(sk_c6, multiply(sk_c4, sk_c7))),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[657, 31])).
% 0.70/0.85 tff(659,plain,
% 0.70/0.85 (multiply(sk_c6, multiply(sk_c4, sk_c7)) = multiply(multiply(sk_c6, sk_c4), sk_c7)),
% 0.70/0.85 inference(symmetry,[status(thm)],[658])).
% 0.70/0.85 tff(660,plain,
% 0.70/0.85 (multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, multiply(sk_c5, sk_c6)))) = multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), multiply(sk_c5, sk_c6))),
% 0.70/0.85 inference(monotonicity,[status(thm)],[659, 656])).
% 0.70/0.85 tff(661,plain,
% 0.70/0.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), multiply(sk_c7, multiply(sk_c5, sk_c4))), multiply(sk_c7, multiply(sk_c5, sk_c6))) = multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, multiply(sk_c5, sk_c6)))))),
% 0.70/0.85 inference(quant_inst,[status(thm)],[])).
% 0.70/0.85 tff(662,plain,
% 0.70/0.85 (multiply(multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), multiply(sk_c7, multiply(sk_c5, sk_c4))), multiply(sk_c7, multiply(sk_c5, sk_c6))) = multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, multiply(sk_c5, sk_c6))))),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[661, 31])).
% 0.70/0.85 tff(663,plain,
% 0.70/0.85 (sk_c7 = multiply(sk_c7, multiply(sk_c5, sk_c6))),
% 0.70/0.85 inference(transitivity,[status(thm)],[235, 626, 132, 624, 138, 637, 635, 476])).
% 0.70/0.86 tff(664,plain,
% 0.70/0.86 (multiply(multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), multiply(sk_c7, multiply(sk_c5, sk_c4))), sk_c7) = multiply(multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), multiply(sk_c7, multiply(sk_c5, sk_c4))), multiply(sk_c7, multiply(sk_c5, sk_c6)))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[663])).
% 0.70/0.86 tff(665,plain,
% 0.70/0.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), multiply(sk_c7, multiply(sk_c5, sk_c4))), sk_c7) = multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c7)))),
% 0.70/0.86 inference(quant_inst,[status(thm)],[])).
% 0.70/0.86 tff(666,plain,
% 0.70/0.86 (multiply(multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), multiply(sk_c7, multiply(sk_c5, sk_c4))), sk_c7) = multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c7))),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[665, 31])).
% 0.70/0.86 tff(667,plain,
% 0.70/0.86 (multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c7)) = multiply(multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), multiply(sk_c7, multiply(sk_c5, sk_c4))), sk_c7)),
% 0.70/0.86 inference(symmetry,[status(thm)],[666])).
% 0.70/0.86 tff(668,plain,
% 0.70/0.86 (multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), multiply(multiply(sk_c6, sk_c4), sk_c7)) = multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c7))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[658, 587])).
% 0.70/0.86 tff(669,plain,
% 0.70/0.86 (sk_c7 = multiply(sk_c6, sk_c6)),
% 0.70/0.86 inference(transitivity,[status(thm)],[235, 626, 132, 624, 138, 637])).
% 0.70/0.86 tff(670,plain,
% 0.70/0.86 (multiply(multiply(sk_c6, sk_c4), sk_c7) = multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, sk_c6))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[669])).
% 0.70/0.86 tff(671,plain,
% 0.70/0.86 (multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c6, sk_c4), sk_c7)),
% 0.70/0.86 inference(symmetry,[status(thm)],[670])).
% 0.70/0.86 tff(672,plain,
% 0.70/0.86 (multiply(inverse(sk_c6), sk_c6) = multiply(multiply(multiply(sk_c6, sk_c4), sk_c6), sk_c6)),
% 0.70/0.86 inference(symmetry,[status(thm)],[653])).
% 0.70/0.86 tff(673,plain,
% 0.70/0.86 (identity = multiply(multiply(sk_c6, sk_c4), sk_c7)),
% 0.70/0.86 inference(transitivity,[status(thm)],[127, 672, 290, 671])).
% 0.70/0.86 tff(674,plain,
% 0.70/0.86 (multiply(multiply(sk_c6, sk_c6), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c6)), sk_c7)),
% 0.70/0.86 inference(symmetry,[status(thm)],[632])).
% 0.70/0.86 tff(675,plain,
% 0.70/0.86 (multiply(sk_c6, sk_c5) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c6)), sk_c7)),
% 0.70/0.86 inference(transitivity,[status(thm)],[558, 556, 674])).
% 0.70/0.86 tff(676,plain,
% 0.70/0.86 (multiply(multiply(sk_c6, sk_c5), sk_c5) = multiply(multiply(multiply(sk_c7, multiply(sk_c5, sk_c6)), sk_c7), sk_c5)),
% 0.70/0.86 inference(monotonicity,[status(thm)],[675])).
% 0.70/0.86 tff(677,plain,
% 0.70/0.86 (multiply(multiply(multiply(sk_c7, multiply(sk_c5, sk_c6)), sk_c7), sk_c5) = multiply(multiply(sk_c6, sk_c5), sk_c5)),
% 0.70/0.86 inference(symmetry,[status(thm)],[676])).
% 0.70/0.86 tff(678,plain,
% 0.70/0.86 (multiply(sk_c7, sk_c6) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c6)), multiply(sk_c7, sk_c5))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[663, 472])).
% 0.70/0.86 tff(679,plain,
% 0.70/0.86 (multiply(sk_c4, multiply(sk_c6, sk_c6)) = multiply(sk_c6, sk_c7)),
% 0.70/0.86 inference(transitivity,[status(thm)],[311, 488, 678, 579, 677, 562, 629])).
% 0.70/0.86 tff(680,plain,
% 0.70/0.86 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c6, sk_c7), sk_c5)),
% 0.70/0.86 inference(monotonicity,[status(thm)],[679, 12])).
% 0.70/0.86 tff(681,plain,
% 0.70/0.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c6), sk_c7) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c6, sk_c7)))),
% 0.70/0.86 inference(quant_inst,[status(thm)],[])).
% 0.70/0.86 tff(682,plain,
% 0.70/0.86 (multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c6), sk_c7) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c6, sk_c7))),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[681, 31])).
% 0.70/0.86 tff(683,plain,
% 0.70/0.86 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c6) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c5))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[472])).
% 0.70/0.86 tff(684,plain,
% 0.70/0.86 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c6)),
% 0.70/0.86 inference(symmetry,[status(thm)],[683])).
% 0.70/0.86 tff(685,plain,
% 0.70/0.86 (multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c7), sk_c5) = multiply(sk_c6, sk_c5)),
% 0.70/0.86 inference(monotonicity,[status(thm)],[491])).
% 0.70/0.86 tff(686,plain,
% 0.70/0.86 (multiply(sk_c6, sk_c5) = multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c7), sk_c5)),
% 0.70/0.86 inference(symmetry,[status(thm)],[685])).
% 0.70/0.86 tff(687,plain,
% 0.70/0.86 (multiply(sk_c6, sk_c5) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c6)),
% 0.70/0.86 inference(transitivity,[status(thm)],[686, 336, 684])).
% 0.70/0.86 tff(688,plain,
% 0.70/0.86 (multiply(multiply(sk_c6, sk_c5), sk_c7) = multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c6), sk_c7)),
% 0.70/0.86 inference(monotonicity,[status(thm)],[687])).
% 0.70/0.86 tff(689,plain,
% 0.70/0.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c5), sk_c7) = multiply(sk_c6, multiply(sk_c5, sk_c7)))),
% 0.70/0.86 inference(quant_inst,[status(thm)],[])).
% 0.70/0.86 tff(690,plain,
% 0.70/0.86 (multiply(multiply(sk_c6, sk_c5), sk_c7) = multiply(sk_c6, multiply(sk_c5, sk_c7))),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[689, 31])).
% 0.70/0.86 tff(691,plain,
% 0.70/0.86 (multiply(sk_c6, multiply(sk_c5, sk_c7)) = multiply(multiply(sk_c6, sk_c5), sk_c7)),
% 0.70/0.86 inference(symmetry,[status(thm)],[690])).
% 0.70/0.86 tff(692,plain,
% 0.70/0.86 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c5) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c6, sk_c7))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[134])).
% 0.70/0.86 tff(693,plain,
% 0.70/0.86 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c5) = multiply(sk_c5, sk_c7)),
% 0.70/0.86 inference(transitivity,[status(thm)],[692, 576, 573])).
% 0.70/0.86 tff(694,plain,
% 0.70/0.86 (multiply(sk_c6, multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c5)) = multiply(sk_c6, multiply(sk_c5, sk_c7))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[693])).
% 0.70/0.86 tff(695,plain,
% 0.70/0.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c7, multiply(sk_c5, sk_c4))), sk_c5) = multiply(sk_c6, multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c5)))),
% 0.70/0.86 inference(quant_inst,[status(thm)],[])).
% 0.70/0.86 tff(696,plain,
% 0.70/0.86 (multiply(multiply(sk_c6, multiply(sk_c7, multiply(sk_c5, sk_c4))), sk_c5) = multiply(sk_c6, multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c5))),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[695, 31])).
% 0.70/0.86 tff(697,plain,
% 0.70/0.86 (multiply(sk_c4, multiply(sk_c6, sk_c6)) = sk_c5),
% 0.70/0.86 inference(transitivity,[status(thm)],[311, 488, 678, 579, 677, 562, 629, 12])).
% 0.70/0.86 tff(698,plain,
% 0.70/0.86 (multiply(sk_c6, multiply(sk_c7, multiply(sk_c5, sk_c4))) = multiply(sk_c6, multiply(sk_c6, sk_c4))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[535])).
% 0.70/0.86 tff(699,plain,
% 0.70/0.86 (multiply(sk_c6, multiply(sk_c6, sk_c4)) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c5, sk_c4)))),
% 0.70/0.86 inference(symmetry,[status(thm)],[698])).
% 0.70/0.86 tff(700,plain,
% 0.70/0.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c6), sk_c4) = multiply(sk_c6, multiply(sk_c6, sk_c4)))),
% 0.70/0.86 inference(quant_inst,[status(thm)],[])).
% 0.70/0.86 tff(701,plain,
% 0.70/0.86 (multiply(multiply(sk_c6, sk_c6), sk_c4) = multiply(sk_c6, multiply(sk_c6, sk_c4))),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[700, 31])).
% 0.70/0.86 tff(702,plain,
% 0.70/0.86 (multiply(sk_c6, sk_c6) = multiply(sk_c7, multiply(sk_c5, sk_c6))),
% 0.70/0.86 inference(transitivity,[status(thm)],[635, 476])).
% 0.70/0.86 tff(703,plain,
% 0.70/0.86 (multiply(multiply(sk_c6, sk_c6), sk_c4) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c6)), sk_c4)),
% 0.70/0.86 inference(monotonicity,[status(thm)],[702])).
% 0.70/0.86 tff(704,plain,
% 0.70/0.86 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c6)), sk_c4) = multiply(multiply(sk_c6, sk_c6), sk_c4)),
% 0.70/0.86 inference(symmetry,[status(thm)],[703])).
% 0.70/0.86 tff(705,plain,
% 0.70/0.86 (multiply(sk_c7, multiply(sk_c5, sk_c6)) = multiply(sk_c5, sk_c5)),
% 0.70/0.86 inference(transitivity,[status(thm)],[477, 630, 636, 139, 565])).
% 0.70/0.86 tff(706,plain,
% 0.70/0.86 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c6)), sk_c4) = multiply(multiply(sk_c5, sk_c5), sk_c4)),
% 0.70/0.86 inference(monotonicity,[status(thm)],[705])).
% 0.70/0.86 tff(707,plain,
% 0.70/0.86 (multiply(multiply(sk_c5, sk_c5), sk_c4) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c6)), sk_c4)),
% 0.70/0.86 inference(symmetry,[status(thm)],[706])).
% 0.70/0.86 tff(708,plain,
% 0.70/0.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c5), sk_c4) = multiply(sk_c5, multiply(sk_c5, sk_c4)))),
% 0.70/0.86 inference(quant_inst,[status(thm)],[])).
% 0.70/0.86 tff(709,plain,
% 0.70/0.86 (multiply(multiply(sk_c5, sk_c5), sk_c4) = multiply(sk_c5, multiply(sk_c5, sk_c4))),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[708, 31])).
% 0.70/0.86 tff(710,plain,
% 0.70/0.86 (multiply(sk_c5, multiply(sk_c5, sk_c4)) = multiply(multiply(sk_c5, sk_c5), sk_c4)),
% 0.70/0.86 inference(symmetry,[status(thm)],[709])).
% 0.70/0.86 tff(711,plain,
% 0.70/0.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), sk_c5), sk_c4) = multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), multiply(sk_c5, sk_c4)))),
% 0.70/0.86 inference(quant_inst,[status(thm)],[])).
% 0.70/0.86 tff(712,plain,
% 0.70/0.86 (multiply(multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), sk_c5), sk_c4) = multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), multiply(sk_c5, sk_c4))),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[711, 31])).
% 0.70/0.86 tff(713,plain,
% 0.70/0.86 (multiply(multiply(sk_c6, sk_c4), multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), sk_c5)),
% 0.70/0.86 inference(symmetry,[status(thm)],[646])).
% 0.70/0.86 tff(714,plain,
% 0.70/0.86 (multiply(multiply(sk_c6, sk_c4), sk_c6) = multiply(multiply(sk_c6, sk_c4), multiply(sk_c7, sk_c5))),
% 0.70/0.86 inference(symmetry,[status(thm)],[644])).
% 0.70/0.86 tff(715,plain,
% 0.70/0.86 (sk_c5 = multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), sk_c5)),
% 0.70/0.86 inference(transitivity,[status(thm)],[134, 295, 293, 714, 713])).
% 0.70/0.86 tff(716,plain,
% 0.70/0.86 (multiply(sk_c5, sk_c4) = multiply(multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), sk_c5), sk_c4)),
% 0.70/0.86 inference(monotonicity,[status(thm)],[715])).
% 0.70/0.86 tff(717,plain,
% 0.70/0.86 (multiply(sk_c5, sk_c4) = multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), multiply(sk_c5, sk_c4))),
% 0.70/0.86 inference(transitivity,[status(thm)],[716, 712])).
% 0.70/0.86 tff(718,plain,
% 0.70/0.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), sk_c5) = multiply(sk_c6, multiply(multiply(sk_c4, sk_c7), sk_c5)))),
% 0.70/0.86 inference(quant_inst,[status(thm)],[])).
% 0.70/0.86 tff(719,plain,
% 0.70/0.86 (multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), sk_c5) = multiply(sk_c6, multiply(multiply(sk_c4, sk_c7), sk_c5))),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[718, 31])).
% 0.70/0.86 tff(720,plain,
% 0.70/0.86 (multiply(sk_c6, multiply(multiply(sk_c4, sk_c7), sk_c5)) = multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), sk_c5)),
% 0.70/0.86 inference(symmetry,[status(thm)],[719])).
% 0.70/0.86 tff(721,plain,
% 0.70/0.86 (multiply(sk_c4, multiply(sk_c7, sk_c5)) = multiply(sk_c4, sk_c6)),
% 0.70/0.86 inference(monotonicity,[status(thm)],[469])).
% 0.70/0.86 tff(722,plain,
% 0.70/0.86 (multiply(multiply(sk_c4, sk_c7), sk_c5) = sk_c7),
% 0.70/0.86 inference(transitivity,[status(thm)],[281, 721, 270])).
% 0.70/0.86 tff(723,plain,
% 0.70/0.86 (multiply(sk_c6, multiply(multiply(sk_c4, sk_c7), sk_c5)) = multiply(sk_c6, sk_c7)),
% 0.70/0.86 inference(monotonicity,[status(thm)],[722])).
% 0.70/0.86 tff(724,plain,
% 0.70/0.86 (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(multiply(sk_c4, sk_c7), sk_c5))),
% 0.70/0.86 inference(symmetry,[status(thm)],[723])).
% 0.70/0.86 tff(725,plain,
% 0.70/0.86 (sk_c5 = multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), sk_c5)),
% 0.70/0.86 inference(transitivity,[status(thm)],[134, 724, 720])).
% 0.70/0.86 tff(726,plain,
% 0.70/0.86 (multiply(sk_c5, multiply(sk_c5, sk_c4)) = multiply(multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), sk_c5), multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), multiply(sk_c5, sk_c4)))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[725, 717])).
% 0.70/0.86 tff(727,plain,
% 0.70/0.86 (multiply(multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), sk_c5), multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), multiply(sk_c5, sk_c4))) = multiply(sk_c5, multiply(sk_c5, sk_c4))),
% 0.70/0.86 inference(symmetry,[status(thm)],[726])).
% 0.70/0.86 tff(728,plain,
% 0.70/0.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), sk_c5), multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), multiply(sk_c5, sk_c4))) = multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), multiply(sk_c5, multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), multiply(sk_c5, sk_c4)))))),
% 0.70/0.86 inference(quant_inst,[status(thm)],[])).
% 0.70/0.86 tff(729,plain,
% 0.70/0.86 (multiply(multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), sk_c5), multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), multiply(sk_c5, sk_c4))) = multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), multiply(sk_c5, multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), multiply(sk_c5, sk_c4))))),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[728, 31])).
% 0.70/0.86 tff(730,plain,
% 0.70/0.86 (multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), multiply(sk_c5, multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), multiply(sk_c5, sk_c4)))) = multiply(multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), sk_c5), multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), multiply(sk_c5, sk_c4)))),
% 0.70/0.86 inference(symmetry,[status(thm)],[729])).
% 0.70/0.86 tff(731,plain,
% 0.70/0.86 (multiply(sk_c6, multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4))) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c5, sk_c4)))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[496])).
% 0.70/0.86 tff(732,plain,
% 0.70/0.86 (multiply(sk_c6, multiply(sk_c7, multiply(sk_c5, sk_c4))) = multiply(sk_c6, multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4)))),
% 0.70/0.86 inference(symmetry,[status(thm)],[731])).
% 0.70/0.86 tff(733,plain,
% 0.70/0.86 (multiply(multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), sk_c5), sk_c4) = multiply(sk_c5, sk_c4)),
% 0.70/0.86 inference(symmetry,[status(thm)],[716])).
% 0.70/0.86 tff(734,plain,
% 0.70/0.86 (multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), multiply(sk_c5, sk_c4)) = multiply(multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), sk_c5), sk_c4)),
% 0.70/0.86 inference(symmetry,[status(thm)],[712])).
% 0.70/0.86 tff(735,plain,
% 0.70/0.86 (multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), multiply(sk_c5, sk_c4)) = multiply(sk_c5, sk_c4)),
% 0.70/0.86 inference(transitivity,[status(thm)],[734, 733])).
% 0.70/0.86 tff(736,plain,
% 0.70/0.86 (multiply(sk_c5, multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), multiply(sk_c5, sk_c4))) = multiply(sk_c5, multiply(sk_c5, sk_c4))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[735])).
% 0.70/0.86 tff(737,plain,
% 0.70/0.86 (multiply(sk_c5, multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), multiply(sk_c5, sk_c4))) = multiply(sk_c6, multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4)))),
% 0.70/0.86 inference(transitivity,[status(thm)],[736, 710, 707, 704, 701, 699, 732])).
% 0.70/0.86 tff(738,plain,
% 0.70/0.86 (multiply(sk_c5, multiply(sk_c7, multiply(sk_c5, sk_c4))) = multiply(multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), sk_c5), multiply(sk_c7, multiply(sk_c5, sk_c4)))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[725])).
% 0.70/0.86 tff(739,plain,
% 0.70/0.86 (multiply(multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), sk_c5), multiply(sk_c7, multiply(sk_c5, sk_c4))) = multiply(sk_c5, multiply(sk_c7, multiply(sk_c5, sk_c4)))),
% 0.70/0.86 inference(symmetry,[status(thm)],[738])).
% 0.70/0.86 tff(740,plain,
% 0.70/0.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), sk_c5), multiply(sk_c7, multiply(sk_c5, sk_c4))) = multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), multiply(sk_c5, multiply(sk_c7, multiply(sk_c5, sk_c4)))))),
% 0.70/0.86 inference(quant_inst,[status(thm)],[])).
% 0.70/0.86 tff(741,plain,
% 0.70/0.86 (multiply(multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), sk_c5), multiply(sk_c7, multiply(sk_c5, sk_c4))) = multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), multiply(sk_c5, multiply(sk_c7, multiply(sk_c5, sk_c4))))),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[740, 31])).
% 0.70/0.86 tff(742,plain,
% 0.70/0.86 (multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), multiply(sk_c5, multiply(sk_c7, multiply(sk_c5, sk_c4)))) = multiply(multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), sk_c5), multiply(sk_c7, multiply(sk_c5, sk_c4)))),
% 0.70/0.86 inference(symmetry,[status(thm)],[741])).
% 0.70/0.86 tff(743,plain,
% 0.70/0.86 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c6)), multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c5, sk_c5), sk_c6)),
% 0.70/0.86 inference(monotonicity,[status(thm)],[705, 469])).
% 0.70/0.86 tff(744,plain,
% 0.70/0.86 (multiply(multiply(sk_c5, sk_c5), sk_c6) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c6)), multiply(sk_c7, sk_c5))),
% 0.70/0.86 inference(symmetry,[status(thm)],[743])).
% 0.70/0.86 tff(745,plain,
% 0.70/0.86 (sk_c1 = inverse(sk_c6)),
% 0.70/0.86 inference(transitivity,[status(thm)],[617, 616, 615, 613, 612, 609, 744, 579, 677, 562, 629, 12, 124])).
% 0.70/0.86 tff(746,plain,
% 0.70/0.86 (multiply(sk_c1, sk_c6) = multiply(inverse(sk_c6), sk_c6)),
% 0.70/0.86 inference(monotonicity,[status(thm)],[745])).
% 0.70/0.86 tff(747,plain,
% 0.70/0.86 (multiply(inverse(sk_c6), sk_c6) = multiply(sk_c1, sk_c6)),
% 0.70/0.86 inference(symmetry,[status(thm)],[746])).
% 0.70/0.86 tff(748,plain,
% 0.70/0.86 (multiply(sk_c6, multiply(sk_c4, sk_c7)) = sk_c7),
% 0.70/0.86 inference(transitivity,[status(thm)],[659, 670, 654, 653, 747, 622])).
% 0.70/0.86 tff(749,plain,
% 0.70/0.86 (multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), multiply(sk_c5, multiply(sk_c7, multiply(sk_c5, sk_c4)))) = multiply(sk_c7, multiply(sk_c5, multiply(sk_c7, multiply(sk_c5, sk_c4))))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[748])).
% 0.70/0.86 tff(750,plain,
% 0.70/0.86 (multiply(sk_c7, multiply(sk_c5, multiply(sk_c7, multiply(sk_c5, sk_c4)))) = multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), multiply(sk_c5, multiply(sk_c7, multiply(sk_c5, sk_c4))))),
% 0.70/0.86 inference(symmetry,[status(thm)],[749])).
% 0.70/0.86 tff(751,plain,
% 0.70/0.86 (multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, multiply(sk_c5, sk_c4))) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c5, sk_c4)))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[469])).
% 0.70/0.86 tff(752,plain,
% 0.70/0.86 (multiply(sk_c6, multiply(sk_c7, multiply(sk_c5, sk_c4))) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, multiply(sk_c5, sk_c4)))),
% 0.70/0.86 inference(symmetry,[status(thm)],[751])).
% 0.70/0.86 tff(753,plain,
% 0.70/0.86 (multiply(sk_c6, multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4))) = sk_c4),
% 0.70/0.86 inference(transitivity,[status(thm)],[731, 752, 525, 750, 742, 739, 508, 505, 502, 500])).
% 0.70/0.86 tff(754,plain,
% 0.70/0.86 (inverse(multiply(sk_c6, multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4)))) = inverse(sk_c4)),
% 0.70/0.86 inference(monotonicity,[status(thm)],[753])).
% 0.70/0.86 tff(755,plain,
% 0.70/0.86 (inverse(sk_c4) = inverse(multiply(sk_c6, multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4))))),
% 0.70/0.86 inference(symmetry,[status(thm)],[754])).
% 0.70/0.86 tff(756,assumption,(inverse(sk_c4) = sk_c7), introduced(assumption)).
% 0.70/0.86 tff(757,plain,
% 0.70/0.86 (sk_c7 = inverse(sk_c4)),
% 0.70/0.86 inference(symmetry,[status(thm)],[756])).
% 0.70/0.86 tff(758,plain,
% 0.70/0.86 (multiply(sk_c6, multiply(sk_c4, sk_c7)) = inverse(multiply(sk_c6, multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4))))),
% 0.70/0.86 inference(transitivity,[status(thm)],[659, 670, 654, 653, 747, 622, 757, 755])).
% 0.70/0.86 tff(759,plain,
% 0.70/0.86 (multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), multiply(sk_c5, multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), multiply(sk_c5, sk_c4)))) = multiply(inverse(multiply(sk_c6, multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4)))), multiply(sk_c6, multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4))))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[758, 737])).
% 0.70/0.86 tff(760,plain,
% 0.70/0.86 (multiply(inverse(multiply(sk_c6, multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4)))), multiply(sk_c6, multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4)))) = multiply(multiply(sk_c6, multiply(sk_c4, sk_c7)), multiply(sk_c5, multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), multiply(sk_c5, sk_c4))))),
% 0.70/0.86 inference(symmetry,[status(thm)],[759])).
% 0.70/0.86 tff(761,plain,
% 0.70/0.86 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(multiply(sk_c6, multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4)))), multiply(sk_c6, multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4)))) = identity)),
% 0.70/0.86 inference(quant_inst,[status(thm)],[])).
% 0.70/0.86 tff(762,plain,
% 0.70/0.86 (multiply(inverse(multiply(sk_c6, multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4)))), multiply(sk_c6, multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4)))) = identity),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[761, 40])).
% 0.70/0.86 tff(763,plain,
% 0.70/0.86 (identity = multiply(inverse(multiply(sk_c6, multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4)))), multiply(sk_c6, multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, sk_c4))))),
% 0.70/0.86 inference(symmetry,[status(thm)],[762])).
% 0.70/0.86 tff(764,plain,
% 0.70/0.86 (identity = multiply(sk_c6, multiply(sk_c7, multiply(sk_c5, sk_c4)))),
% 0.70/0.86 inference(transitivity,[status(thm)],[763, 760, 730, 727, 710, 707, 704, 701, 699])).
% 0.70/0.86 tff(765,plain,
% 0.70/0.86 (multiply(identity, multiply(sk_c4, multiply(sk_c6, sk_c6))) = multiply(multiply(sk_c6, multiply(sk_c7, multiply(sk_c5, sk_c4))), sk_c5)),
% 0.70/0.86 inference(monotonicity,[status(thm)],[764, 697])).
% 0.70/0.86 tff(766,plain,
% 0.70/0.86 (multiply(multiply(sk_c5, sk_c6), multiply(sk_c4, multiply(sk_c6, sk_c6))) = multiply(identity, multiply(sk_c4, multiply(sk_c6, sk_c6)))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[610])).
% 0.70/0.86 tff(767,plain,
% 0.70/0.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c6), multiply(sk_c4, multiply(sk_c6, sk_c6))) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c4, multiply(sk_c6, sk_c6)))))),
% 0.70/0.86 inference(quant_inst,[status(thm)],[])).
% 0.70/0.86 tff(768,plain,
% 0.70/0.86 (multiply(multiply(sk_c5, sk_c6), multiply(sk_c4, multiply(sk_c6, sk_c6))) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c4, multiply(sk_c6, sk_c6))))),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[767, 31])).
% 0.70/0.86 tff(769,plain,
% 0.70/0.86 (multiply(sk_c5, multiply(sk_c6, multiply(sk_c4, multiply(sk_c6, sk_c6)))) = multiply(multiply(sk_c5, sk_c6), multiply(sk_c4, multiply(sk_c6, sk_c6)))),
% 0.70/0.86 inference(symmetry,[status(thm)],[768])).
% 0.70/0.86 tff(770,plain,
% 0.70/0.86 (identity = multiply(sk_c6, multiply(sk_c4, multiply(sk_c6, sk_c6)))),
% 0.70/0.86 inference(transitivity,[status(thm)],[127, 672, 290, 288])).
% 0.70/0.86 tff(771,plain,
% 0.70/0.86 (multiply(sk_c5, identity) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c4, multiply(sk_c6, sk_c6))))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[770])).
% 0.70/0.86 tff(772,plain,
% 0.70/0.86 (inverse(sk_c6) = sk_c7),
% 0.70/0.86 inference(transitivity,[status(thm)],[123, 134, 628, 563, 676, 551, 743, 608, 611, 771, 769, 766, 765, 696, 694, 691, 688, 682, 680, 623, 133, 625, 9])).
% 0.70/0.86 tff(773,plain,
% 0.70/0.86 ((multiply(sk_c7, multiply(sk_c6, sk_c7)) = sk_c6) <=> (multiply(sk_c7, sk_c5) = sk_c6)),
% 0.70/0.86 inference(monotonicity,[status(thm)],[485])).
% 0.70/0.86 tff(774,plain,
% 0.70/0.86 ((multiply(sk_c7, sk_c5) = sk_c6) <=> (multiply(sk_c7, multiply(sk_c6, sk_c7)) = sk_c6)),
% 0.70/0.86 inference(symmetry,[status(thm)],[773])).
% 0.70/0.86 tff(775,plain,
% 0.70/0.86 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = sk_c6),
% 0.70/0.86 inference(modus_ponens,[status(thm)],[469, 774])).
% 0.70/0.86 tff(776,plain,
% 0.70/0.86 (multiply(sk_c6, sk_c6) = sk_c7),
% 0.70/0.86 inference(transitivity,[status(thm)],[636, 139, 623, 133, 625, 9])).
% 0.70/0.86 tff(777,plain,
% 0.70/0.86 (((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c6, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 0.70/0.86 inference(rewrite,[status(thm)],[])).
% 0.70/0.86 tff(778,plain,
% 0.70/0.86 (((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c6, sk_c7)) = sk_c6))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 0.70/0.86 inference(rewrite,[status(thm)],[])).
% 0.70/0.86 tff(779,plain,
% 0.70/0.86 (((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c6, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c6, sk_c7)) = sk_c6))))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[778])).
% 0.70/0.86 tff(780,plain,
% 0.70/0.86 (((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c6, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 0.70/0.86 inference(transitivity,[status(thm)],[779, 777])).
% 0.70/0.86 tff(781,plain,
% 0.70/0.86 ((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(782,plain,
% 0.70/0.87 ((~![X4: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(sk_c7, multiply(X4, sk_c7)) = sk_c6)))) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c6, sk_c7)) = sk_c6))),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[781, 780])).
% 0.70/0.87 tff(783,plain,
% 0.70/0.87 ((~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c6, sk_c7)) = sk_c6))),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[782, 12, 123, 428, 260])).
% 0.70/0.87 tff(784,plain,
% 0.70/0.87 ((~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7))),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[783, 469, 776, 775])).
% 0.70/0.87 tff(785,plain,
% 0.70/0.87 (~(inverse(sk_c6) = sk_c7)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[784, 622])).
% 0.70/0.87 tff(786,plain,
% 0.70/0.87 ($false),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[785, 772])).
% 0.70/0.87 tff(787,plain,(~(inverse(sk_c4) = sk_c7)), inference(lemma,lemma(discharge,[]))).
% 0.70/0.87 tff(788,plain,
% 0.70/0.87 (((inverse(sk_c2) = sk_c7) | (inverse(sk_c4) = sk_c7)) <=> ((inverse(sk_c2) = sk_c7) | (inverse(sk_c4) = sk_c7))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(789,axiom,((inverse(sk_c2) = sk_c7) | (inverse(sk_c4) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_20')).
% 0.70/0.87 tff(790,plain,
% 0.70/0.87 ((inverse(sk_c2) = sk_c7) | (inverse(sk_c4) = sk_c7)),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[789, 788])).
% 0.70/0.87 tff(791,plain,
% 0.70/0.87 (inverse(sk_c2) = sk_c7),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[790, 787])).
% 0.70/0.87 tff(792,plain,
% 0.70/0.87 (sk_c7 = inverse(sk_c2)),
% 0.70/0.87 inference(symmetry,[status(thm)],[791])).
% 0.70/0.87 tff(793,plain,
% 0.70/0.87 (identity = inverse(sk_c2)),
% 0.70/0.87 inference(transitivity,[status(thm)],[127, 643, 622, 792])).
% 0.70/0.87 tff(794,plain,
% 0.70/0.87 (multiply(identity, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 0.70/0.87 inference(monotonicity,[status(thm)],[793])).
% 0.70/0.87 tff(795,plain,
% 0.70/0.87 (multiply(identity, sk_c2) = multiply(multiply(sk_c6, sk_c4), sk_c7)),
% 0.70/0.87 inference(transitivity,[status(thm)],[794, 65, 127, 672, 290, 671])).
% 0.70/0.87 tff(796,plain,
% 0.70/0.87 (multiply(multiply(identity, sk_c2), identity) = multiply(multiply(multiply(sk_c6, sk_c4), sk_c7), multiply(multiply(sk_c6, sk_c4), sk_c7))),
% 0.70/0.87 inference(monotonicity,[status(thm)],[795, 673])).
% 0.70/0.87 tff(797,plain,
% 0.70/0.87 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c2), identity) = multiply(identity, multiply(sk_c2, identity)))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(798,plain,
% 0.70/0.87 (multiply(multiply(identity, sk_c2), identity) = multiply(identity, multiply(sk_c2, identity))),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[797, 31])).
% 0.70/0.87 tff(799,plain,
% 0.70/0.87 (multiply(identity, multiply(sk_c2, identity)) = multiply(multiply(identity, sk_c2), identity)),
% 0.70/0.87 inference(symmetry,[status(thm)],[798])).
% 0.70/0.87 tff(800,plain,
% 0.70/0.87 (identity = sk_c7),
% 0.70/0.87 inference(transitivity,[status(thm)],[127, 643, 622])).
% 0.70/0.87 tff(801,plain,
% 0.70/0.87 (multiply(sk_c2, identity) = multiply(sk_c2, sk_c7)),
% 0.70/0.87 inference(monotonicity,[status(thm)],[800])).
% 0.70/0.87 tff(802,plain,
% 0.70/0.87 (multiply(sk_c2, sk_c7) = multiply(sk_c2, identity)),
% 0.70/0.87 inference(symmetry,[status(thm)],[801])).
% 0.70/0.87 tff(803,plain,
% 0.70/0.87 (((inverse(sk_c4) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c3)) <=> ((inverse(sk_c4) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c3))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(804,plain,
% 0.70/0.87 (((multiply(sk_c2, sk_c7) = sk_c3) | (inverse(sk_c4) = sk_c7)) <=> ((inverse(sk_c4) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c3))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(805,axiom,((multiply(sk_c2, sk_c7) = sk_c3) | (inverse(sk_c4) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_16')).
% 0.70/0.87 tff(806,plain,
% 0.70/0.87 ((inverse(sk_c4) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c3)),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[805, 804])).
% 0.70/0.87 tff(807,plain,
% 0.70/0.87 ((inverse(sk_c4) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c3)),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[806, 803])).
% 0.70/0.87 tff(808,plain,
% 0.70/0.87 (multiply(sk_c2, sk_c7) = sk_c3),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[807, 787])).
% 0.70/0.87 tff(809,plain,
% 0.70/0.87 (sk_c3 = multiply(sk_c2, sk_c7)),
% 0.70/0.87 inference(symmetry,[status(thm)],[808])).
% 0.70/0.87 tff(810,plain,
% 0.70/0.87 (sk_c3 = multiply(sk_c2, identity)),
% 0.70/0.87 inference(transitivity,[status(thm)],[809, 802])).
% 0.70/0.87 tff(811,plain,
% 0.70/0.87 (sk_c7 = multiply(sk_c1, sk_c6)),
% 0.70/0.87 inference(symmetry,[status(thm)],[622])).
% 0.70/0.87 tff(812,plain,
% 0.70/0.87 (sk_c7 = identity),
% 0.70/0.87 inference(transitivity,[status(thm)],[811, 642, 110])).
% 0.70/0.87 tff(813,plain,
% 0.70/0.87 (multiply(sk_c7, sk_c3) = multiply(identity, multiply(sk_c2, identity))),
% 0.70/0.87 inference(monotonicity,[status(thm)],[812, 810])).
% 0.70/0.87 tff(814,plain,
% 0.70/0.87 (((inverse(sk_c4) = sk_c7) | (multiply(sk_c7, sk_c3) = sk_c6)) <=> ((inverse(sk_c4) = sk_c7) | (multiply(sk_c7, sk_c3) = sk_c6))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(815,plain,
% 0.70/0.87 (((multiply(sk_c7, sk_c3) = sk_c6) | (inverse(sk_c4) = sk_c7)) <=> ((inverse(sk_c4) = sk_c7) | (multiply(sk_c7, sk_c3) = sk_c6))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(816,axiom,((multiply(sk_c7, sk_c3) = sk_c6) | (inverse(sk_c4) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_12')).
% 0.70/0.87 tff(817,plain,
% 0.70/0.87 ((inverse(sk_c4) = sk_c7) | (multiply(sk_c7, sk_c3) = sk_c6)),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[816, 815])).
% 0.70/0.87 tff(818,plain,
% 0.70/0.87 ((inverse(sk_c4) = sk_c7) | (multiply(sk_c7, sk_c3) = sk_c6)),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[817, 814])).
% 0.70/0.87 tff(819,plain,
% 0.70/0.87 (multiply(sk_c7, sk_c3) = sk_c6),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[818, 787])).
% 0.70/0.87 tff(820,plain,
% 0.70/0.87 (sk_c6 = multiply(sk_c7, sk_c3)),
% 0.70/0.87 inference(symmetry,[status(thm)],[819])).
% 0.70/0.87 tff(821,plain,
% 0.70/0.87 (multiply(sk_c7, identity) = sk_c7),
% 0.70/0.87 inference(transitivity,[status(thm)],[544, 477, 630, 636, 139, 623, 133, 625, 9])).
% 0.70/0.87 tff(822,plain,
% 0.70/0.87 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), multiply(sk_c7, identity)) = multiply(multiply(sk_c7, sk_c6), sk_c7)),
% 0.70/0.87 inference(monotonicity,[status(thm)],[489, 821])).
% 0.70/0.87 tff(823,plain,
% 0.70/0.87 (multiply(multiply(sk_c7, sk_c6), sk_c7) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c7)),
% 0.70/0.87 inference(symmetry,[status(thm)],[490])).
% 0.70/0.87 tff(824,plain,
% 0.70/0.87 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c7, sk_c6), sk_c7)),
% 0.70/0.87 inference(symmetry,[status(thm)],[487])).
% 0.70/0.87 tff(825,plain,
% 0.70/0.87 (multiply(sk_c7, sk_c5) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 0.70/0.87 inference(symmetry,[status(thm)],[140])).
% 0.70/0.87 tff(826,plain,
% 0.70/0.87 (sk_c6 = multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c7)),
% 0.70/0.87 inference(transitivity,[status(thm)],[472, 825, 824, 823])).
% 0.70/0.87 tff(827,plain,
% 0.70/0.87 (multiply(sk_c6, identity) = multiply(multiply(multiply(sk_c4, multiply(sk_c6, sk_c6)), sk_c7), identity)),
% 0.70/0.87 inference(monotonicity,[status(thm)],[826])).
% 0.70/0.87 tff(828,plain,
% 0.70/0.87 (multiply(sk_c5, sk_c5) = identity),
% 0.70/0.87 inference(transitivity,[status(thm)],[564, 623, 133, 625, 9, 811, 642, 110])).
% 0.70/0.87 tff(829,plain,
% 0.70/0.87 (multiply(sk_c6, multiply(sk_c5, sk_c5)) = multiply(sk_c6, identity)),
% 0.70/0.87 inference(monotonicity,[status(thm)],[828])).
% 0.70/0.87 tff(830,plain,
% 0.70/0.87 (inverse(sk_c6) = sk_c7),
% 0.70/0.87 inference(transitivity,[status(thm)],[123, 134, 628, 829, 827, 542, 822, 487, 140, 469, 820, 813, 799, 796, 668, 667, 664, 662, 660, 651, 648, 643, 622])).
% 0.70/0.87 tff(831,plain,
% 0.70/0.87 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = sk_c6),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[469, 142])).
% 0.70/0.87 tff(832,plain,
% 0.70/0.87 ((~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7))),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[783, 469, 776, 831])).
% 0.70/0.87 tff(833,plain,
% 0.70/0.87 (~(inverse(sk_c6) = sk_c7)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[832, 622])).
% 0.70/0.87 tff(834,plain,
% 0.70/0.87 ($false),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[833, 830])).
% 0.70/0.87 % SZS output end Proof
% 0.70/0.87 % E exiting
%------------------------------------------------------------------------------