%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GRP235-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:07:30 AM UTC 2025
% Result : Unsatisfiable 0.61s 0.79s
% Output : Proof 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP235-1 : TPTP v9.0.0. Released v2.5.0.
% 0.04/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Jun 19 15:52:48 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.61/0.79 % SZS status Unsatisfiable
% 0.61/0.79 % SZS output start Proof
% 0.61/0.79 tff(sk_c7_type, type, (
% 0.61/0.79 sk_c7: $i)).
% 0.61/0.79 tff(multiply_type, type, (
% 0.61/0.79 multiply: ( $i * $i ) > $i)).
% 0.61/0.79 tff(inverse_type, type, (
% 0.61/0.79 inverse: $i > $i)).
% 0.61/0.79 tff(sk_c2_type, type, (
% 0.61/0.79 sk_c2: $i)).
% 0.61/0.79 tff(sk_c3_type, type, (
% 0.61/0.79 sk_c3: $i)).
% 0.61/0.79 tff(sk_c4_type, type, (
% 0.61/0.79 sk_c4: $i)).
% 0.61/0.79 tff(identity_type, type, (
% 0.61/0.79 identity: $i)).
% 0.61/0.79 tff(sk_c8_type, type, (
% 0.61/0.79 sk_c8: $i)).
% 0.61/0.79 tff(sk_c1_type, type, (
% 0.61/0.79 sk_c1: $i)).
% 0.61/0.79 tff(sk_c6_type, type, (
% 0.61/0.79 sk_c6: $i)).
% 0.61/0.79 tff(sk_c5_type, type, (
% 0.61/0.79 sk_c5: $i)).
% 0.61/0.79 tff(1,plain,
% 0.61/0.79 (^[X: $i] : refl((multiply(identity, X) = X) <=> (multiply(identity, X) = X))),
% 0.61/0.79 inference(bind,[status(th)],[])).
% 0.61/0.79 tff(2,plain,
% 0.61/0.79 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 0.61/0.79 inference(quant_intro,[status(thm)],[1])).
% 0.61/0.79 tff(3,plain,
% 0.61/0.79 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 0.61/0.79 inference(rewrite,[status(thm)],[])).
% 0.61/0.79 tff(4,axiom,(![X: $i] : (multiply(identity, X) = X)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','left_identity')).
% 0.61/0.79 tff(5,plain,
% 0.61/0.79 (![X: $i] : (multiply(identity, X) = X)),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.61/0.79 tff(6,plain,(
% 0.61/0.79 ![X: $i] : (multiply(identity, X) = X)),
% 0.61/0.79 inference(skolemize,[status(sab)],[5])).
% 0.61/0.79 tff(7,plain,
% 0.61/0.79 (![X: $i] : (multiply(identity, X) = X)),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.61/0.79 tff(8,plain,
% 0.61/0.79 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c7) = sk_c7)),
% 0.61/0.79 inference(quant_inst,[status(thm)],[])).
% 0.61/0.79 tff(9,plain,
% 0.61/0.79 (multiply(identity, sk_c7) = sk_c7),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.61/0.79 tff(10,plain,
% 0.61/0.79 (^[X: $i] : refl((multiply(inverse(X), X) = identity) <=> (multiply(inverse(X), X) = identity))),
% 0.61/0.79 inference(bind,[status(th)],[])).
% 0.61/0.79 tff(11,plain,
% 0.61/0.79 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.61/0.79 inference(quant_intro,[status(thm)],[10])).
% 0.61/0.79 tff(12,plain,
% 0.61/0.79 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.61/0.79 inference(rewrite,[status(thm)],[])).
% 0.61/0.79 tff(13,axiom,(![X: $i] : (multiply(inverse(X), X) = identity)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','left_inverse')).
% 0.61/0.79 tff(14,plain,
% 0.61/0.79 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.61/0.79 tff(15,plain,(
% 0.61/0.79 ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.61/0.79 inference(skolemize,[status(sab)],[14])).
% 0.61/0.79 tff(16,plain,
% 0.61/0.79 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[15, 11])).
% 0.61/0.79 tff(17,plain,
% 0.61/0.79 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c1), sk_c1) = identity)),
% 0.61/0.79 inference(quant_inst,[status(thm)],[])).
% 0.61/0.79 tff(18,plain,
% 0.61/0.79 (multiply(inverse(sk_c1), sk_c1) = identity),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[17, 16])).
% 0.61/0.79 tff(19,assumption,(~(inverse(sk_c4) = sk_c8)), introduced(assumption)).
% 0.61/0.79 tff(20,plain,
% 0.61/0.79 (((inverse(sk_c1) = sk_c8) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c1) = sk_c8) | (inverse(sk_c4) = sk_c8))),
% 0.61/0.79 inference(rewrite,[status(thm)],[])).
% 0.61/0.79 tff(21,axiom,((inverse(sk_c1) = sk_c8) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_6')).
% 0.61/0.79 tff(22,plain,
% 0.61/0.79 ((inverse(sk_c1) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.61/0.79 tff(23,plain,
% 0.61/0.79 (inverse(sk_c1) = sk_c8),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[22, 19])).
% 0.61/0.79 tff(24,plain,
% 0.61/0.79 (sk_c8 = inverse(sk_c1)),
% 0.61/0.79 inference(symmetry,[status(thm)],[23])).
% 0.61/0.79 tff(25,plain,
% 0.61/0.79 (multiply(sk_c8, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[24])).
% 0.61/0.79 tff(26,plain,
% 0.61/0.79 (multiply(sk_c8, sk_c1) = identity),
% 0.61/0.79 inference(transitivity,[status(thm)],[25, 18])).
% 0.61/0.79 tff(27,plain,
% 0.61/0.79 (multiply(multiply(sk_c8, sk_c1), sk_c7) = multiply(identity, sk_c7)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[26])).
% 0.61/0.79 tff(28,plain,
% 0.61/0.79 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c8, sk_c1)),
% 0.61/0.79 inference(symmetry,[status(thm)],[25])).
% 0.61/0.79 tff(29,plain,
% 0.61/0.79 (identity = multiply(inverse(sk_c1), sk_c1)),
% 0.61/0.79 inference(symmetry,[status(thm)],[18])).
% 0.61/0.79 tff(30,plain,
% 0.61/0.79 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c2), sk_c2) = identity)),
% 0.61/0.79 inference(quant_inst,[status(thm)],[])).
% 0.61/0.79 tff(31,plain,
% 0.61/0.79 (multiply(inverse(sk_c2), sk_c2) = identity),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[30, 16])).
% 0.61/0.79 tff(32,plain,
% 0.61/0.79 (((inverse(sk_c2) = sk_c3) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c2) = sk_c3) | (inverse(sk_c4) = sk_c8))),
% 0.61/0.79 inference(rewrite,[status(thm)],[])).
% 0.61/0.79 tff(33,axiom,((inverse(sk_c2) = sk_c3) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_21')).
% 0.61/0.79 tff(34,plain,
% 0.61/0.79 ((inverse(sk_c2) = sk_c3) | (inverse(sk_c4) = sk_c8)),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[33, 32])).
% 0.61/0.79 tff(35,plain,
% 0.61/0.79 (inverse(sk_c2) = sk_c3),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[34, 19])).
% 0.61/0.79 tff(36,plain,
% 0.61/0.79 (sk_c3 = inverse(sk_c2)),
% 0.61/0.79 inference(symmetry,[status(thm)],[35])).
% 0.61/0.79 tff(37,plain,
% 0.61/0.79 (multiply(sk_c3, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[36])).
% 0.61/0.79 tff(38,plain,
% 0.61/0.79 (multiply(sk_c3, sk_c2) = multiply(sk_c8, sk_c1)),
% 0.61/0.79 inference(transitivity,[status(thm)],[37, 31, 29, 28])).
% 0.61/0.79 tff(39,plain,
% 0.61/0.79 (multiply(multiply(sk_c3, sk_c2), sk_c7) = multiply(multiply(sk_c8, sk_c1), sk_c7)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[38])).
% 0.61/0.79 tff(40,plain,
% 0.61/0.79 (^[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))))),
% 0.61/0.79 inference(bind,[status(th)],[])).
% 0.61/0.79 tff(41,plain,
% 0.61/0.79 (![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)))),
% 0.61/0.79 inference(quant_intro,[status(thm)],[40])).
% 0.61/0.79 tff(42,plain,
% 0.61/0.79 (![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)))),
% 0.61/0.79 inference(rewrite,[status(thm)],[])).
% 0.61/0.79 tff(43,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')).
% 0.61/0.79 tff(44,plain,
% 0.61/0.79 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[43, 42])).
% 0.61/0.79 tff(45,plain,(
% 0.61/0.79 ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.61/0.79 inference(skolemize,[status(sab)],[44])).
% 0.61/0.79 tff(46,plain,
% 0.61/0.79 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[45, 41])).
% 0.61/0.79 tff(47,plain,
% 0.61/0.79 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c2), sk_c7) = multiply(sk_c3, multiply(sk_c2, sk_c7)))),
% 0.61/0.79 inference(quant_inst,[status(thm)],[])).
% 0.61/0.79 tff(48,plain,
% 0.61/0.79 (multiply(multiply(sk_c3, sk_c2), sk_c7) = multiply(sk_c3, multiply(sk_c2, sk_c7))),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[47, 46])).
% 0.61/0.79 tff(49,plain,
% 0.61/0.79 (multiply(sk_c3, multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c3, sk_c2), sk_c7)),
% 0.61/0.79 inference(symmetry,[status(thm)],[48])).
% 0.61/0.79 tff(50,plain,
% 0.61/0.79 (((inverse(sk_c4) = sk_c8) | (multiply(sk_c3, sk_c8) = sk_c7)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c3, sk_c8) = sk_c7))),
% 0.61/0.79 inference(rewrite,[status(thm)],[])).
% 0.61/0.79 tff(51,plain,
% 0.61/0.79 (((multiply(sk_c3, sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c3, sk_c8) = sk_c7))),
% 0.61/0.79 inference(rewrite,[status(thm)],[])).
% 0.61/0.79 tff(52,axiom,((multiply(sk_c3, sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_26')).
% 0.61/0.79 tff(53,plain,
% 0.61/0.79 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c3, sk_c8) = sk_c7)),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.61/0.79 tff(54,plain,
% 0.61/0.79 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c3, sk_c8) = sk_c7)),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[53, 50])).
% 0.61/0.79 tff(55,plain,
% 0.61/0.79 (multiply(sk_c3, sk_c8) = sk_c7),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[54, 19])).
% 0.61/0.79 tff(56,plain,
% 0.61/0.79 (sk_c7 = multiply(sk_c3, sk_c8)),
% 0.61/0.79 inference(symmetry,[status(thm)],[55])).
% 0.61/0.79 tff(57,plain,
% 0.61/0.79 (multiply(sk_c2, sk_c7) = multiply(sk_c2, multiply(sk_c3, sk_c8))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[56])).
% 0.61/0.79 tff(58,plain,
% 0.61/0.79 (multiply(sk_c2, multiply(sk_c3, sk_c8)) = multiply(sk_c2, sk_c7)),
% 0.61/0.79 inference(symmetry,[status(thm)],[57])).
% 0.61/0.79 tff(59,plain,
% 0.61/0.79 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c3), sk_c8) = multiply(sk_c2, multiply(sk_c3, sk_c8)))),
% 0.61/0.79 inference(quant_inst,[status(thm)],[])).
% 0.61/0.79 tff(60,plain,
% 0.61/0.79 (multiply(multiply(sk_c2, sk_c3), sk_c8) = multiply(sk_c2, multiply(sk_c3, sk_c8))),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[59, 46])).
% 0.61/0.79 tff(61,plain,
% 0.61/0.79 ((sk_c8 = inverse(sk_c8)) <=> (inverse(sk_c8) = sk_c8)),
% 0.61/0.79 inference(commutativity,[status(thm)],[])).
% 0.61/0.79 tff(62,assumption,(~(multiply(sk_c8, sk_c6) = sk_c7)), introduced(assumption)).
% 0.61/0.79 tff(63,plain,
% 0.61/0.79 (((inverse(sk_c8) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7)) <=> ((inverse(sk_c8) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7))),
% 0.61/0.79 inference(rewrite,[status(thm)],[])).
% 0.61/0.79 tff(64,axiom,((inverse(sk_c8) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_3')).
% 0.61/0.79 tff(65,plain,
% 0.61/0.79 ((inverse(sk_c8) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7)),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.61/0.79 tff(66,plain,
% 0.61/0.79 (inverse(sk_c8) = sk_c7),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[65, 62])).
% 0.61/0.79 tff(67,plain,
% 0.61/0.79 (sk_c7 = inverse(sk_c8)),
% 0.61/0.79 inference(symmetry,[status(thm)],[66])).
% 0.61/0.79 tff(68,plain,
% 0.61/0.79 (((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)) <=> ((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7))),
% 0.61/0.79 inference(rewrite,[status(thm)],[])).
% 0.61/0.79 tff(69,axiom,((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_13')).
% 0.61/0.79 tff(70,plain,
% 0.61/0.79 ((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[69, 68])).
% 0.61/0.79 tff(71,plain,
% 0.61/0.79 (multiply(sk_c1, sk_c7) = sk_c8),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[70, 62])).
% 0.61/0.79 tff(72,plain,
% 0.61/0.79 (((multiply(sk_c3, sk_c8) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7)) <=> ((multiply(sk_c3, sk_c8) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7))),
% 0.61/0.79 inference(rewrite,[status(thm)],[])).
% 0.61/0.79 tff(73,axiom,((multiply(sk_c3, sk_c8) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_28')).
% 0.61/0.79 tff(74,plain,
% 0.61/0.79 ((multiply(sk_c3, sk_c8) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7)),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[73, 72])).
% 0.61/0.79 tff(75,plain,
% 0.61/0.79 (multiply(sk_c3, sk_c8) = sk_c7),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[74, 62])).
% 0.61/0.79 tff(76,plain,
% 0.61/0.79 (sk_c7 = multiply(sk_c3, sk_c8)),
% 0.61/0.79 inference(symmetry,[status(thm)],[75])).
% 0.61/0.79 tff(77,plain,
% 0.61/0.79 (multiply(sk_c7, sk_c1) = multiply(multiply(sk_c3, sk_c8), sk_c1)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[76])).
% 0.61/0.79 tff(78,plain,
% 0.61/0.79 (multiply(multiply(sk_c3, sk_c8), sk_c1) = multiply(sk_c7, sk_c1)),
% 0.61/0.79 inference(symmetry,[status(thm)],[77])).
% 0.61/0.79 tff(79,plain,
% 0.61/0.79 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c8), sk_c1) = multiply(sk_c3, multiply(sk_c8, sk_c1)))),
% 0.61/0.79 inference(quant_inst,[status(thm)],[])).
% 0.61/0.79 tff(80,plain,
% 0.61/0.79 (multiply(multiply(sk_c3, sk_c8), sk_c1) = multiply(sk_c3, multiply(sk_c8, sk_c1))),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[79, 46])).
% 0.61/0.79 tff(81,plain,
% 0.61/0.79 (multiply(sk_c3, multiply(sk_c8, sk_c1)) = multiply(multiply(sk_c3, sk_c8), sk_c1)),
% 0.61/0.79 inference(symmetry,[status(thm)],[80])).
% 0.61/0.79 tff(82,plain,
% 0.61/0.79 (multiply(sk_c2, sk_c7) = multiply(sk_c2, multiply(sk_c3, sk_c8))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[76])).
% 0.61/0.80 tff(83,plain,
% 0.61/0.80 (multiply(sk_c2, multiply(sk_c3, sk_c8)) = multiply(sk_c2, sk_c7)),
% 0.61/0.80 inference(symmetry,[status(thm)],[82])).
% 0.61/0.80 tff(84,plain,
% 0.61/0.80 (((multiply(sk_c2, sk_c3) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7)) <=> ((multiply(sk_c2, sk_c3) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7))),
% 0.61/0.80 inference(rewrite,[status(thm)],[])).
% 0.61/0.80 tff(85,axiom,((multiply(sk_c2, sk_c3) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_18')).
% 0.61/0.80 tff(86,plain,
% 0.61/0.80 ((multiply(sk_c2, sk_c3) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7)),
% 0.61/0.80 inference(modus_ponens,[status(thm)],[85, 84])).
% 0.61/0.80 tff(87,plain,
% 0.61/0.80 (multiply(sk_c2, sk_c3) = sk_c7),
% 0.61/0.80 inference(unit_resolution,[status(thm)],[86, 62])).
% 0.61/0.80 tff(88,plain,
% 0.61/0.80 (multiply(sk_c2, sk_c3) = inverse(sk_c8)),
% 0.61/0.80 inference(transitivity,[status(thm)],[87, 67])).
% 0.61/0.80 tff(89,plain,
% 0.61/0.80 (multiply(multiply(sk_c2, sk_c3), sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[88])).
% 0.61/0.80 tff(90,plain,
% 0.61/0.80 (multiply(inverse(sk_c8), sk_c8) = multiply(multiply(sk_c2, sk_c3), sk_c8)),
% 0.61/0.80 inference(symmetry,[status(thm)],[89])).
% 0.61/0.80 tff(91,plain,
% 0.61/0.80 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c8), sk_c8) = identity)),
% 0.61/0.80 inference(quant_inst,[status(thm)],[])).
% 0.61/0.80 tff(92,plain,
% 0.61/0.80 (multiply(inverse(sk_c8), sk_c8) = identity),
% 0.61/0.80 inference(unit_resolution,[status(thm)],[91, 16])).
% 0.61/0.80 tff(93,plain,
% 0.61/0.80 (identity = multiply(inverse(sk_c8), sk_c8)),
% 0.61/0.80 inference(symmetry,[status(thm)],[92])).
% 0.61/0.80 tff(94,plain,
% 0.61/0.80 (((inverse(sk_c1) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)) <=> ((inverse(sk_c1) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7))),
% 0.61/0.80 inference(rewrite,[status(thm)],[])).
% 0.61/0.80 tff(95,axiom,((inverse(sk_c1) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_8')).
% 0.61/0.80 tff(96,plain,
% 0.61/0.80 ((inverse(sk_c1) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)),
% 0.61/0.80 inference(modus_ponens,[status(thm)],[95, 94])).
% 0.61/0.80 tff(97,plain,
% 0.61/0.80 (inverse(sk_c1) = sk_c8),
% 0.61/0.80 inference(unit_resolution,[status(thm)],[96, 62])).
% 0.61/0.80 tff(98,plain,
% 0.61/0.80 (sk_c8 = inverse(sk_c1)),
% 0.61/0.80 inference(symmetry,[status(thm)],[97])).
% 0.61/0.80 tff(99,plain,
% 0.61/0.80 (multiply(sk_c8, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[98])).
% 0.61/0.80 tff(100,plain,
% 0.61/0.80 (multiply(sk_c8, sk_c1) = multiply(sk_c2, sk_c7)),
% 0.61/0.80 inference(transitivity,[status(thm)],[99, 18, 93, 90, 60, 83])).
% 0.61/0.80 tff(101,plain,
% 0.61/0.80 (multiply(sk_c3, multiply(sk_c8, sk_c1)) = multiply(sk_c3, multiply(sk_c2, sk_c7))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[100])).
% 0.61/0.80 tff(102,plain,
% 0.61/0.80 (multiply(sk_c3, multiply(sk_c2, sk_c7)) = multiply(sk_c3, multiply(sk_c8, sk_c1))),
% 0.61/0.80 inference(symmetry,[status(thm)],[101])).
% 0.61/0.80 tff(103,plain,
% 0.61/0.80 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c8, sk_c1)),
% 0.61/0.80 inference(symmetry,[status(thm)],[99])).
% 0.61/0.80 tff(104,plain,
% 0.61/0.80 (((inverse(sk_c2) = sk_c3) | (multiply(sk_c8, sk_c6) = sk_c7)) <=> ((inverse(sk_c2) = sk_c3) | (multiply(sk_c8, sk_c6) = sk_c7))),
% 0.61/0.80 inference(rewrite,[status(thm)],[])).
% 0.61/0.80 tff(105,axiom,((inverse(sk_c2) = sk_c3) | (multiply(sk_c8, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_23')).
% 0.61/0.80 tff(106,plain,
% 0.61/0.80 ((inverse(sk_c2) = sk_c3) | (multiply(sk_c8, sk_c6) = sk_c7)),
% 0.61/0.80 inference(modus_ponens,[status(thm)],[105, 104])).
% 0.61/0.80 tff(107,plain,
% 0.61/0.80 (inverse(sk_c2) = sk_c3),
% 0.61/0.80 inference(unit_resolution,[status(thm)],[106, 62])).
% 0.61/0.80 tff(108,plain,
% 0.61/0.80 (sk_c3 = inverse(sk_c2)),
% 0.61/0.80 inference(symmetry,[status(thm)],[107])).
% 0.61/0.80 tff(109,plain,
% 0.61/0.80 (multiply(sk_c3, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[108])).
% 0.61/0.80 tff(110,plain,
% 0.61/0.80 (multiply(sk_c3, sk_c2) = multiply(sk_c8, sk_c1)),
% 0.61/0.80 inference(transitivity,[status(thm)],[109, 31, 29, 103])).
% 0.61/0.80 tff(111,plain,
% 0.61/0.80 (multiply(multiply(sk_c3, sk_c2), sk_c7) = multiply(multiply(sk_c8, sk_c1), sk_c7)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[110])).
% 0.61/0.80 tff(112,plain,
% 0.61/0.80 (multiply(multiply(sk_c8, sk_c1), sk_c7) = multiply(multiply(sk_c3, sk_c2), sk_c7)),
% 0.61/0.80 inference(symmetry,[status(thm)],[111])).
% 0.61/0.80 tff(113,plain,
% 0.61/0.80 (multiply(sk_c8, sk_c1) = identity),
% 0.61/0.80 inference(transitivity,[status(thm)],[99, 18])).
% 0.61/0.80 tff(114,plain,
% 0.61/0.80 (multiply(multiply(sk_c8, sk_c1), sk_c7) = multiply(identity, sk_c7)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[113])).
% 0.61/0.80 tff(115,plain,
% 0.61/0.80 (multiply(identity, sk_c7) = multiply(multiply(sk_c8, sk_c1), sk_c7)),
% 0.61/0.80 inference(symmetry,[status(thm)],[114])).
% 0.61/0.80 tff(116,plain,
% 0.61/0.80 (sk_c7 = multiply(identity, sk_c7)),
% 0.61/0.80 inference(symmetry,[status(thm)],[9])).
% 0.61/0.80 tff(117,plain,
% 0.61/0.80 (sk_c7 = multiply(sk_c7, sk_c1)),
% 0.61/0.80 inference(transitivity,[status(thm)],[116, 115, 112, 48, 102, 81, 78])).
% 0.61/0.80 tff(118,plain,
% 0.61/0.80 (multiply(sk_c1, sk_c7) = multiply(sk_c1, multiply(sk_c7, sk_c1))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[117])).
% 0.61/0.80 tff(119,plain,
% 0.61/0.80 (multiply(sk_c1, multiply(sk_c7, sk_c1)) = multiply(sk_c1, sk_c7)),
% 0.61/0.80 inference(symmetry,[status(thm)],[118])).
% 0.61/0.80 tff(120,plain,
% 0.61/0.80 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c7), sk_c1) = multiply(sk_c1, multiply(sk_c7, sk_c1)))),
% 0.61/0.80 inference(quant_inst,[status(thm)],[])).
% 0.61/0.80 tff(121,plain,
% 0.61/0.80 (multiply(multiply(sk_c1, sk_c7), sk_c1) = multiply(sk_c1, multiply(sk_c7, sk_c1))),
% 0.61/0.80 inference(unit_resolution,[status(thm)],[120, 46])).
% 0.61/0.80 tff(122,plain,
% 0.61/0.80 (multiply(sk_c1, sk_c7) = inverse(sk_c1)),
% 0.61/0.80 inference(transitivity,[status(thm)],[71, 98])).
% 0.61/0.80 tff(123,plain,
% 0.61/0.80 (multiply(multiply(sk_c1, sk_c7), sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[122])).
% 0.61/0.80 tff(124,plain,
% 0.61/0.80 (multiply(inverse(sk_c1), sk_c1) = multiply(multiply(sk_c1, sk_c7), sk_c1)),
% 0.61/0.80 inference(symmetry,[status(thm)],[123])).
% 0.61/0.80 tff(125,plain,
% 0.61/0.80 (multiply(inverse(sk_c8), sk_c8) = sk_c8),
% 0.61/0.80 inference(transitivity,[status(thm)],[92, 29, 124, 121, 119, 71])).
% 0.61/0.80 tff(126,plain,
% 0.61/0.80 ((multiply(inverse(sk_c8), sk_c8) = sk_c7) <=> (sk_c8 = inverse(sk_c8))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[125, 67])).
% 0.61/0.80 tff(127,plain,
% 0.61/0.80 ((multiply(inverse(sk_c8), sk_c8) = sk_c7) <=> (inverse(sk_c8) = sk_c8)),
% 0.61/0.80 inference(transitivity,[status(thm)],[126, 61])).
% 0.61/0.80 tff(128,plain,
% 0.61/0.80 ((inverse(sk_c8) = sk_c8) <=> (multiply(inverse(sk_c8), sk_c8) = sk_c7)),
% 0.61/0.80 inference(symmetry,[status(thm)],[127])).
% 0.61/0.80 tff(129,plain,
% 0.61/0.80 ((~(inverse(sk_c8) = sk_c8)) <=> (~(multiply(inverse(sk_c8), sk_c8) = sk_c7))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[128])).
% 0.61/0.80 tff(130,plain,
% 0.61/0.80 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c8) = sk_c8)),
% 0.61/0.80 inference(quant_inst,[status(thm)],[])).
% 0.61/0.80 tff(131,plain,
% 0.61/0.80 (multiply(identity, sk_c8) = sk_c8),
% 0.61/0.80 inference(unit_resolution,[status(thm)],[130, 7])).
% 0.61/0.80 tff(132,plain,
% 0.61/0.80 (multiply(multiply(sk_c8, sk_c1), sk_c8) = multiply(identity, sk_c8)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[113])).
% 0.61/0.80 tff(133,plain,
% 0.61/0.80 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c1), sk_c8) = multiply(sk_c8, multiply(sk_c1, sk_c8)))),
% 0.61/0.80 inference(quant_inst,[status(thm)],[])).
% 0.61/0.80 tff(134,plain,
% 0.61/0.80 (multiply(multiply(sk_c8, sk_c1), sk_c8) = multiply(sk_c8, multiply(sk_c1, sk_c8))),
% 0.61/0.80 inference(unit_resolution,[status(thm)],[133, 46])).
% 0.61/0.80 tff(135,plain,
% 0.61/0.80 (multiply(sk_c8, multiply(sk_c1, sk_c8)) = multiply(multiply(sk_c8, sk_c1), sk_c8)),
% 0.61/0.80 inference(symmetry,[status(thm)],[134])).
% 0.61/0.80 tff(136,plain,
% 0.61/0.80 (multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c8),
% 0.61/0.80 inference(transitivity,[status(thm)],[135, 132, 131])).
% 0.61/0.80 tff(137,plain,
% 0.61/0.80 ((multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7) <=> (sk_c8 = inverse(sk_c8))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[136, 67])).
% 0.61/0.80 tff(138,plain,
% 0.61/0.80 ((multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7) <=> (inverse(sk_c8) = sk_c8)),
% 0.61/0.80 inference(transitivity,[status(thm)],[137, 61])).
% 0.61/0.80 tff(139,plain,
% 0.61/0.80 ((~(multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7)) <=> (~(inverse(sk_c8) = sk_c8))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[138])).
% 0.61/0.80 tff(140,plain,
% 0.61/0.80 (multiply(inverse(sk_c2), sk_c8) = multiply(sk_c3, sk_c8)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[107])).
% 0.61/0.80 tff(141,plain,
% 0.61/0.80 (multiply(inverse(sk_c2), sk_c8) = sk_c7),
% 0.61/0.80 inference(transitivity,[status(thm)],[140, 75])).
% 0.61/0.80 tff(142,plain,
% 0.61/0.80 (multiply(sk_c2, inverse(sk_c2)) = multiply(sk_c2, sk_c3)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[107])).
% 0.61/0.80 tff(143,plain,
% 0.61/0.80 (multiply(sk_c2, inverse(sk_c2)) = sk_c7),
% 0.61/0.80 inference(transitivity,[status(thm)],[142, 87])).
% 0.61/0.80 tff(144,plain,
% 0.61/0.80 (^[X4: $i, X3: $i, X5: $i, X1: $i] : refl(((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))))),
% 0.61/0.80 inference(bind,[status(th)],[])).
% 0.61/0.80 tff(145,plain,
% 0.61/0.80 (![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))) <=> ![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))),
% 0.61/0.80 inference(quant_intro,[status(thm)],[144])).
% 0.61/0.80 tff(146,plain,
% 0.61/0.80 (![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))) <=> ![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))),
% 0.61/0.80 inference(rewrite,[status(thm)],[])).
% 0.61/0.80 tff(147,plain,
% 0.61/0.80 (^[X4: $i, X3: $i, X5: $i, X1: $i] : rewrite(((~(inverse(X4) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))))),
% 0.61/0.80 inference(bind,[status(th)],[])).
% 0.61/0.80 tff(148,plain,
% 0.61/0.80 (![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(X4) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))) <=> ![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))),
% 0.61/0.80 inference(quant_intro,[status(thm)],[147])).
% 0.61/0.80 tff(149,plain,
% 0.61/0.80 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X4) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))) <=> ![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(X4) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))),
% 0.61/0.80 inference(elim_unused_vars,[status(thm)],[])).
% 0.61/0.80 tff(150,plain,
% 0.61/0.80 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X4) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))),
% 0.61/0.80 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.61/0.80 tff(151,plain,
% 0.61/0.80 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8))) <=> ![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(X4) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))),
% 0.61/0.80 inference(transitivity,[status(thm)],[150, 149])).
% 0.61/0.80 tff(152,plain,
% 0.61/0.80 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8))) <=> ![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))),
% 0.61/0.80 inference(transitivity,[status(thm)],[151, 148])).
% 0.61/0.80 tff(153,plain,
% 0.61/0.80 (^[X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)))), (((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(multiply(X5, X6) = sk_c7))) <=> (((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X5, X6) = sk_c7))))), rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X5, X6) = sk_c7))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)))), (((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(multiply(X5, X6) = sk_c7))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8))))), ((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(multiply(X5, X6) = sk_c7))) | (~(inverse(X5) = X6))) <=> (((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8))) | (~(inverse(X5) = X6))))), rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8))) | (~(inverse(X5) = X6))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)))), ((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(multiply(X5, X6) = sk_c7))) | (~(inverse(X5) = X6))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8))))), (((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(multiply(X5, X6) = sk_c7))) | (~(inverse(X5) = X6))) | (~(multiply(X6, sk_c8) = sk_c7))) <=> (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X6, sk_c8) = sk_c7))))), rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X6, sk_c8) = sk_c7))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X6, sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)))), (((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(multiply(X5, X6) = sk_c7))) | (~(inverse(X5) = X6))) | (~(multiply(X6, sk_c8) = sk_c7))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X6, sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8))))), ((((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(multiply(X5, X6) = sk_c7))) | (~(inverse(X5) = X6))) | (~(multiply(X6, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) <=> (((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X6, sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8))) | (~(inverse(X1) = sk_c8))))), rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X6, sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8))) | (~(inverse(X1) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)))), ((((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(multiply(X5, X6) = sk_c7))) | (~(inverse(X5) = X6))) | (~(multiply(X6, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8))))), (((((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(multiply(X5, X6) = sk_c7))) | (~(inverse(X5) = X6))) | (~(multiply(X6, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) <=> (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))))), rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)))), (((((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(multiply(X5, X6) = sk_c7))) | (~(inverse(X5) = X6))) | (~(multiply(X6, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8))))), ((((((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(multiply(X5, X6) = sk_c7))) | (~(inverse(X5) = X6))) | (~(multiply(X6, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) <=> (((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))))), rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)))), ((((((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(multiply(X5, X6) = sk_c7))) | (~(inverse(X5) = X6))) | (~(multiply(X6, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8))))), (((((((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(multiply(X5, X6) = sk_c7))) | (~(inverse(X5) = X6))) | (~(multiply(X6, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) | (~(multiply(X3, sk_c8) = X2))) <=> (((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X3, sk_c8) = X2))))), rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X3, sk_c8) = X2))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)))), (((((((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(multiply(X5, X6) = sk_c7))) | (~(inverse(X5) = X6))) | (~(multiply(X6, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) | (~(multiply(X3, sk_c8) = X2))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8))))), ((((((((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(multiply(X5, X6) = sk_c7))) | (~(inverse(X5) = X6))) | (~(multiply(X6, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) | (~(multiply(X3, sk_c8) = X2))) | (~(inverse(X3) = sk_c8))) <=> (((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8))) | (~(inverse(X3) = sk_c8))))), rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8))) | (~(inverse(X3) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)))), ((((((((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(multiply(X5, X6) = sk_c7))) | (~(inverse(X5) = X6))) | (~(multiply(X6, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) | (~(multiply(X3, sk_c8) = X2))) | (~(inverse(X3) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)))))),
% 0.61/0.81 inference(bind,[status(th)],[])).
% 0.61/0.81 tff(154,plain,
% 0.61/0.81 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(multiply(X5, X6) = sk_c7))) | (~(inverse(X5) = X6))) | (~(multiply(X6, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) | (~(multiply(X3, sk_c8) = X2))) | (~(inverse(X3) = sk_c8))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)))),
% 0.61/0.81 inference(quant_intro,[status(thm)],[153])).
% 0.61/0.81 tff(155,plain,
% 0.61/0.81 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(multiply(X5, X6) = sk_c7))) | (~(inverse(X5) = X6))) | (~(multiply(X6, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) | (~(multiply(X3, sk_c8) = X2))) | (~(inverse(X3) = sk_c8))) <=> ![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))),
% 0.61/0.81 inference(transitivity,[status(thm)],[154, 152])).
% 0.61/0.81 tff(156,axiom,(![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(multiply(X5, X6) = sk_c7))) | (~(inverse(X5) = X6))) | (~(multiply(X6, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) | (~(multiply(X3, sk_c8) = X2))) | (~(inverse(X3) = sk_c8)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_31')).
% 0.61/0.81 tff(157,plain,
% 0.61/0.81 (![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[156, 155])).
% 0.61/0.81 tff(158,plain,
% 0.61/0.81 (![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[157, 146])).
% 0.61/0.81 tff(159,plain,(
% 0.61/0.81 ![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))),
% 0.61/0.81 inference(skolemize,[status(sab)],[158])).
% 0.61/0.81 tff(160,plain,
% 0.61/0.81 (![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[159, 145])).
% 0.61/0.81 tff(161,plain,
% 0.61/0.81 (((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(inverse(sk_c2), sk_c8) = sk_c7)) | (~(multiply(sk_c2, inverse(sk_c2)) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(inverse(sk_c2), sk_c8) = sk_c7)) | (~(multiply(sk_c2, inverse(sk_c2)) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7)))),
% 0.61/0.81 inference(rewrite,[status(thm)],[])).
% 0.61/0.81 tff(162,plain,
% 0.61/0.81 (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(inverse(sk_c2), sk_c8) = sk_c7)) | (~(multiply(sk_c2, inverse(sk_c2)) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(inverse(sk_c2), sk_c8) = sk_c7)) | (~(multiply(sk_c2, inverse(sk_c2)) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7)))),
% 0.61/0.81 inference(rewrite,[status(thm)],[])).
% 0.61/0.81 tff(163,plain,
% 0.61/0.81 (((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(inverse(sk_c2), sk_c8) = sk_c7)) | (~(multiply(sk_c2, inverse(sk_c2)) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(inverse(sk_c2), sk_c8) = sk_c7)) | (~(multiply(sk_c2, inverse(sk_c2)) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7))))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[162])).
% 0.61/0.81 tff(164,plain,
% 0.61/0.81 (((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(inverse(sk_c2), sk_c8) = sk_c7)) | (~(multiply(sk_c2, inverse(sk_c2)) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(inverse(sk_c2), sk_c8) = sk_c7)) | (~(multiply(sk_c2, inverse(sk_c2)) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7)))),
% 0.61/0.81 inference(transitivity,[status(thm)],[163, 161])).
% 0.61/0.81 tff(165,plain,
% 0.61/0.81 ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(inverse(sk_c2), sk_c8) = sk_c7)) | (~(multiply(sk_c2, inverse(sk_c2)) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)))),
% 0.61/0.81 inference(quant_inst,[status(thm)],[])).
% 0.61/0.81 tff(166,plain,
% 0.61/0.81 ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(inverse(sk_c2), sk_c8) = sk_c7)) | (~(multiply(sk_c2, inverse(sk_c2)) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7))),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[165, 164])).
% 0.61/0.81 tff(167,plain,
% 0.61/0.81 ((~(multiply(inverse(sk_c2), sk_c8) = sk_c7)) | (~(multiply(sk_c2, inverse(sk_c2)) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7))),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[166, 66, 97, 71, 160])).
% 0.61/0.81 tff(168,plain,
% 0.61/0.81 (~(multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7)),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[167, 143, 141])).
% 0.61/0.81 tff(169,plain,
% 0.61/0.81 (~(inverse(sk_c8) = sk_c8)),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[168, 139])).
% 0.61/0.81 tff(170,plain,
% 0.61/0.81 (~(multiply(inverse(sk_c8), sk_c8) = sk_c7)),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[169, 129])).
% 0.61/0.81 tff(171,plain,
% 0.61/0.81 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c3), sk_c8) = multiply(sk_c1, multiply(sk_c3, sk_c8)))),
% 0.61/0.81 inference(quant_inst,[status(thm)],[])).
% 0.61/0.81 tff(172,plain,
% 0.61/0.81 (multiply(multiply(sk_c1, sk_c3), sk_c8) = multiply(sk_c1, multiply(sk_c3, sk_c8))),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[171, 46])).
% 0.61/0.81 tff(173,plain,
% 0.61/0.81 (multiply(sk_c1, multiply(sk_c3, sk_c8)) = multiply(multiply(sk_c1, sk_c3), sk_c8)),
% 0.61/0.81 inference(symmetry,[status(thm)],[172])).
% 0.61/0.81 tff(174,plain,
% 0.61/0.81 (multiply(sk_c1, multiply(sk_c3, sk_c8)) = multiply(sk_c1, sk_c7)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[75])).
% 0.61/0.81 tff(175,plain,
% 0.61/0.81 (multiply(sk_c1, sk_c7) = multiply(sk_c1, multiply(sk_c3, sk_c8))),
% 0.61/0.81 inference(symmetry,[status(thm)],[174])).
% 0.61/0.81 tff(176,plain,
% 0.61/0.81 (sk_c8 = multiply(sk_c1, sk_c7)),
% 0.61/0.81 inference(symmetry,[status(thm)],[71])).
% 0.61/0.81 tff(177,plain,
% 0.61/0.81 (sk_c8 = multiply(multiply(sk_c1, sk_c3), sk_c8)),
% 0.61/0.81 inference(transitivity,[status(thm)],[176, 175, 173])).
% 0.61/0.81 tff(178,plain,
% 0.61/0.81 (multiply(sk_c3, sk_c8) = multiply(sk_c3, multiply(multiply(sk_c1, sk_c3), sk_c8))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[177])).
% 0.61/0.81 tff(179,plain,
% 0.61/0.81 (multiply(sk_c3, multiply(multiply(sk_c1, sk_c3), sk_c8)) = multiply(sk_c3, sk_c8)),
% 0.61/0.81 inference(symmetry,[status(thm)],[178])).
% 0.61/0.81 tff(180,plain,
% 0.61/0.81 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), sk_c8) = multiply(sk_c3, multiply(multiply(sk_c1, sk_c3), sk_c8)))),
% 0.61/0.81 inference(quant_inst,[status(thm)],[])).
% 0.61/0.81 tff(181,plain,
% 0.61/0.81 (multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), sk_c8) = multiply(sk_c3, multiply(multiply(sk_c1, sk_c3), sk_c8))),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[180, 46])).
% 0.61/0.81 tff(182,plain,
% 0.61/0.81 (multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), sk_c8) = multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), multiply(multiply(sk_c1, sk_c3), sk_c8))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[177])).
% 0.61/0.81 tff(183,plain,
% 0.61/0.81 (multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), multiply(multiply(sk_c1, sk_c3), sk_c8)) = multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), sk_c8)),
% 0.61/0.81 inference(symmetry,[status(thm)],[182])).
% 0.61/0.81 tff(184,plain,
% 0.61/0.81 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), multiply(sk_c1, sk_c3)), sk_c8) = multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), multiply(multiply(sk_c1, sk_c3), sk_c8)))),
% 0.61/0.81 inference(quant_inst,[status(thm)],[])).
% 0.61/0.82 tff(185,plain,
% 0.61/0.82 (multiply(multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), multiply(sk_c1, sk_c3)), sk_c8) = multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), multiply(multiply(sk_c1, sk_c3), sk_c8))),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[184, 46])).
% 0.61/0.82 tff(186,plain,
% 0.61/0.82 (multiply(sk_c1, sk_c8) = multiply(sk_c1, inverse(sk_c1))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[98])).
% 0.61/0.82 tff(187,plain,
% 0.61/0.82 (multiply(sk_c1, inverse(sk_c1)) = multiply(sk_c1, sk_c8)),
% 0.61/0.82 inference(symmetry,[status(thm)],[186])).
% 0.61/0.82 tff(188,plain,
% 0.61/0.82 (multiply(sk_c8, multiply(sk_c1, inverse(sk_c1))) = multiply(sk_c8, multiply(sk_c1, sk_c8))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[187])).
% 0.61/0.82 tff(189,plain,
% 0.61/0.82 (multiply(sk_c8, multiply(sk_c1, sk_c8)) = multiply(sk_c8, multiply(sk_c1, inverse(sk_c1)))),
% 0.61/0.82 inference(symmetry,[status(thm)],[188])).
% 0.61/0.82 tff(190,plain,
% 0.61/0.82 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c1), sk_c8)),
% 0.61/0.82 inference(symmetry,[status(thm)],[132])).
% 0.61/0.82 tff(191,plain,
% 0.61/0.82 (sk_c8 = multiply(identity, sk_c8)),
% 0.61/0.82 inference(symmetry,[status(thm)],[131])).
% 0.61/0.82 tff(192,plain,
% 0.61/0.82 (sk_c8 = multiply(sk_c8, multiply(sk_c1, inverse(sk_c1)))),
% 0.61/0.82 inference(transitivity,[status(thm)],[191, 190, 134, 189])).
% 0.61/0.82 tff(193,plain,
% 0.61/0.82 (multiply(multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), multiply(sk_c1, sk_c3)), sk_c8) = multiply(multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), multiply(sk_c1, sk_c3)), multiply(sk_c8, multiply(sk_c1, inverse(sk_c1))))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[192])).
% 0.61/0.82 tff(194,plain,
% 0.61/0.82 (multiply(multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), multiply(sk_c1, sk_c3)), multiply(sk_c8, multiply(sk_c1, inverse(sk_c1)))) = multiply(multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), multiply(sk_c1, sk_c3)), sk_c8)),
% 0.61/0.82 inference(symmetry,[status(thm)],[193])).
% 0.61/0.82 tff(195,plain,
% 0.61/0.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), multiply(sk_c1, sk_c3)), sk_c8), multiply(sk_c1, inverse(sk_c1))) = multiply(multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), multiply(sk_c1, sk_c3)), multiply(sk_c8, multiply(sk_c1, inverse(sk_c1)))))),
% 0.61/0.82 inference(quant_inst,[status(thm)],[])).
% 0.61/0.82 tff(196,plain,
% 0.61/0.82 (multiply(multiply(multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), multiply(sk_c1, sk_c3)), sk_c8), multiply(sk_c1, inverse(sk_c1))) = multiply(multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), multiply(sk_c1, sk_c3)), multiply(sk_c8, multiply(sk_c1, inverse(sk_c1))))),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[195, 46])).
% 0.61/0.82 tff(197,plain,
% 0.61/0.82 (multiply(multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), multiply(sk_c1, sk_c3)), sk_c8) = sk_c7),
% 0.61/0.82 inference(transitivity,[status(thm)],[185, 183, 181, 179, 75])).
% 0.61/0.82 tff(198,plain,
% 0.61/0.82 (multiply(multiply(multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), multiply(sk_c1, sk_c3)), sk_c8), multiply(sk_c1, inverse(sk_c1))) = multiply(sk_c7, multiply(sk_c1, inverse(sk_c1)))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[197])).
% 0.61/0.82 tff(199,plain,
% 0.61/0.82 (multiply(sk_c7, multiply(sk_c1, inverse(sk_c1))) = multiply(multiply(multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), multiply(sk_c1, sk_c3)), sk_c8), multiply(sk_c1, inverse(sk_c1)))),
% 0.61/0.82 inference(symmetry,[status(thm)],[198])).
% 0.61/0.82 tff(200,plain,
% 0.61/0.82 (multiply(sk_c7, multiply(sk_c1, inverse(sk_c1))) = multiply(sk_c7, multiply(sk_c1, sk_c8))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[187])).
% 0.61/0.82 tff(201,plain,
% 0.61/0.82 (multiply(sk_c7, multiply(sk_c1, sk_c8)) = multiply(sk_c7, multiply(sk_c1, inverse(sk_c1)))),
% 0.61/0.82 inference(symmetry,[status(thm)],[200])).
% 0.61/0.82 tff(202,plain,
% 0.61/0.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c1), sk_c8) = multiply(sk_c7, multiply(sk_c1, sk_c8)))),
% 0.61/0.82 inference(quant_inst,[status(thm)],[])).
% 0.61/0.82 tff(203,plain,
% 0.61/0.82 (multiply(multiply(sk_c7, sk_c1), sk_c8) = multiply(sk_c7, multiply(sk_c1, sk_c8))),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[202, 46])).
% 0.61/0.82 tff(204,plain,
% 0.61/0.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), sk_c8), sk_c1) = multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), multiply(sk_c8, sk_c1)))),
% 0.61/0.82 inference(quant_inst,[status(thm)],[])).
% 0.61/0.82 tff(205,plain,
% 0.61/0.82 (multiply(multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), sk_c8), sk_c1) = multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), multiply(sk_c8, sk_c1))),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[204, 46])).
% 0.61/0.82 tff(206,plain,
% 0.61/0.82 (multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), sk_c8) = sk_c7),
% 0.61/0.82 inference(transitivity,[status(thm)],[181, 179, 75])).
% 0.61/0.82 tff(207,plain,
% 0.61/0.82 (multiply(multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), sk_c8), sk_c1) = multiply(sk_c7, sk_c1)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[206])).
% 0.61/0.82 tff(208,plain,
% 0.61/0.82 (multiply(sk_c7, sk_c1) = multiply(multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), sk_c8), sk_c1)),
% 0.61/0.82 inference(symmetry,[status(thm)],[207])).
% 0.61/0.82 tff(209,plain,
% 0.61/0.82 (multiply(sk_c7, sk_c1) = multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), multiply(sk_c8, sk_c1))),
% 0.61/0.82 inference(transitivity,[status(thm)],[208, 205])).
% 0.61/0.82 tff(210,plain,
% 0.61/0.82 (multiply(multiply(sk_c7, sk_c1), sk_c8) = multiply(multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), multiply(sk_c8, sk_c1)), sk_c8)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[209])).
% 0.61/0.82 tff(211,plain,
% 0.61/0.82 (multiply(multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), multiply(sk_c8, sk_c1)), sk_c8) = multiply(multiply(sk_c7, sk_c1), sk_c8)),
% 0.61/0.82 inference(symmetry,[status(thm)],[210])).
% 0.61/0.82 tff(212,plain,
% 0.61/0.82 (multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), multiply(sk_c8, sk_c1)) = multiply(multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), sk_c8), sk_c1)),
% 0.61/0.82 inference(symmetry,[status(thm)],[205])).
% 0.61/0.82 tff(213,plain,
% 0.61/0.82 (multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), multiply(sk_c8, sk_c1)) = inverse(sk_c8)),
% 0.61/0.82 inference(transitivity,[status(thm)],[212, 207, 77, 80, 101, 49, 111, 114, 9, 67])).
% 0.61/0.82 tff(214,plain,
% 0.61/0.82 (multiply(multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), multiply(sk_c8, sk_c1)), sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[213])).
% 0.61/0.82 tff(215,plain,
% 0.61/0.82 (multiply(inverse(sk_c8), sk_c8) = multiply(multiply(multiply(sk_c3, multiply(sk_c1, sk_c3)), multiply(sk_c8, sk_c1)), sk_c8)),
% 0.61/0.82 inference(symmetry,[status(thm)],[214])).
% 0.61/0.82 tff(216,plain,
% 0.61/0.82 (multiply(inverse(sk_c8), sk_c8) = sk_c7),
% 0.61/0.82 inference(transitivity,[status(thm)],[215, 211, 203, 201, 199, 196, 194, 185, 183, 181, 179, 75])).
% 0.61/0.82 tff(217,plain,
% 0.61/0.82 ($false),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[216, 170])).
% 0.61/0.82 tff(218,plain,(multiply(sk_c8, sk_c6) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 0.61/0.82 tff(219,assumption,(~(inverse(sk_c8) = sk_c7)), introduced(assumption)).
% 0.61/0.82 tff(220,plain,
% 0.61/0.82 (((inverse(sk_c8) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((inverse(sk_c8) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 0.61/0.82 inference(rewrite,[status(thm)],[])).
% 0.61/0.82 tff(221,axiom,((inverse(sk_c8) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_4')).
% 0.61/0.82 tff(222,plain,
% 0.61/0.82 ((inverse(sk_c8) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 0.61/0.82 inference(modus_ponens,[status(thm)],[221, 220])).
% 0.61/0.82 tff(223,plain,
% 0.61/0.82 (multiply(sk_c5, sk_c8) = sk_c6),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[222, 219])).
% 0.61/0.82 tff(224,plain,
% 0.61/0.82 (sk_c6 = multiply(sk_c5, sk_c8)),
% 0.61/0.82 inference(symmetry,[status(thm)],[223])).
% 0.61/0.82 tff(225,plain,
% 0.61/0.82 (multiply(sk_c8, sk_c6) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[224])).
% 0.61/0.82 tff(226,plain,
% 0.61/0.82 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(sk_c8, sk_c6)),
% 0.61/0.82 inference(symmetry,[status(thm)],[225])).
% 0.61/0.82 tff(227,plain,
% 0.61/0.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(sk_c8, multiply(sk_c5, sk_c8)))),
% 0.61/0.82 inference(quant_inst,[status(thm)],[])).
% 0.61/0.82 tff(228,plain,
% 0.61/0.82 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[227, 46])).
% 0.61/0.82 tff(229,plain,
% 0.61/0.82 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c5), sk_c5) = identity)),
% 0.61/0.82 inference(quant_inst,[status(thm)],[])).
% 0.61/0.82 tff(230,plain,
% 0.61/0.82 (multiply(inverse(sk_c5), sk_c5) = identity),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[229, 16])).
% 0.61/0.82 tff(231,plain,
% 0.61/0.82 (((inverse(sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8))),
% 0.61/0.82 inference(rewrite,[status(thm)],[])).
% 0.61/0.82 tff(232,axiom,((inverse(sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_5')).
% 0.61/0.82 tff(233,plain,
% 0.61/0.82 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 0.61/0.82 inference(modus_ponens,[status(thm)],[232, 231])).
% 0.61/0.82 tff(234,plain,
% 0.61/0.82 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 0.61/0.82 inference(modus_ponens,[status(thm)],[233, 231])).
% 0.61/0.82 tff(235,plain,
% 0.61/0.82 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 0.61/0.82 inference(modus_ponens,[status(thm)],[234, 231])).
% 0.61/0.82 tff(236,plain,
% 0.61/0.82 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 0.61/0.82 inference(modus_ponens,[status(thm)],[235, 231])).
% 0.61/0.82 tff(237,plain,
% 0.61/0.82 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 0.61/0.82 inference(modus_ponens,[status(thm)],[236, 231])).
% 0.61/0.82 tff(238,plain,
% 0.61/0.82 (inverse(sk_c5) = sk_c8),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[237, 219])).
% 0.61/0.82 tff(239,plain,
% 0.61/0.82 (sk_c8 = inverse(sk_c5)),
% 0.61/0.82 inference(symmetry,[status(thm)],[238])).
% 0.61/0.82 tff(240,plain,
% 0.61/0.82 (multiply(sk_c8, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[239])).
% 0.61/0.82 tff(241,plain,
% 0.61/0.82 (multiply(sk_c8, sk_c5) = identity),
% 0.61/0.82 inference(transitivity,[status(thm)],[240, 230])).
% 0.61/0.82 tff(242,plain,
% 0.61/0.82 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(identity, sk_c8)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[241])).
% 0.61/0.82 tff(243,plain,
% 0.61/0.82 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 0.61/0.82 inference(symmetry,[status(thm)],[242])).
% 0.61/0.82 tff(244,plain,
% 0.61/0.82 (((inverse(sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8))),
% 0.61/0.82 inference(rewrite,[status(thm)],[])).
% 0.61/0.82 tff(245,axiom,((inverse(sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_1')).
% 0.61/0.82 tff(246,plain,
% 0.61/0.82 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 0.61/0.82 inference(modus_ponens,[status(thm)],[245, 244])).
% 0.61/0.82 tff(247,plain,
% 0.61/0.82 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 0.61/0.82 inference(modus_ponens,[status(thm)],[246, 244])).
% 0.61/0.82 tff(248,plain,
% 0.61/0.82 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 0.61/0.82 inference(modus_ponens,[status(thm)],[247, 244])).
% 0.61/0.82 tff(249,plain,
% 0.61/0.82 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 0.61/0.82 inference(modus_ponens,[status(thm)],[248, 244])).
% 0.61/0.82 tff(250,plain,
% 0.61/0.82 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 0.61/0.82 inference(modus_ponens,[status(thm)],[249, 244])).
% 0.61/0.82 tff(251,plain,
% 0.61/0.82 (inverse(sk_c4) = sk_c8),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[250, 219])).
% 0.61/0.82 tff(252,plain,
% 0.61/0.82 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c4) = sk_c4)),
% 0.61/0.82 inference(quant_inst,[status(thm)],[])).
% 0.61/0.82 tff(253,plain,
% 0.61/0.82 (multiply(identity, sk_c4) = sk_c4),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[252, 7])).
% 0.61/0.82 tff(254,plain,
% 0.61/0.82 (multiply(inverse(sk_c5), sk_c5) = multiply(sk_c8, sk_c5)),
% 0.61/0.82 inference(symmetry,[status(thm)],[240])).
% 0.61/0.82 tff(255,plain,
% 0.61/0.82 (identity = multiply(inverse(sk_c5), sk_c5)),
% 0.61/0.82 inference(symmetry,[status(thm)],[230])).
% 0.61/0.82 tff(256,plain,
% 0.61/0.82 (identity = multiply(sk_c8, sk_c5)),
% 0.61/0.82 inference(transitivity,[status(thm)],[255, 254])).
% 0.61/0.82 tff(257,plain,
% 0.61/0.82 (multiply(identity, sk_c4) = multiply(multiply(sk_c8, sk_c5), sk_c4)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[256])).
% 0.61/0.82 tff(258,plain,
% 0.61/0.82 (multiply(multiply(sk_c8, sk_c5), sk_c4) = multiply(identity, sk_c4)),
% 0.61/0.82 inference(symmetry,[status(thm)],[257])).
% 0.61/0.82 tff(259,plain,
% 0.61/0.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c5), sk_c4) = multiply(sk_c8, multiply(sk_c5, sk_c4)))),
% 0.61/0.82 inference(quant_inst,[status(thm)],[])).
% 0.61/0.82 tff(260,plain,
% 0.61/0.82 (multiply(multiply(sk_c8, sk_c5), sk_c4) = multiply(sk_c8, multiply(sk_c5, sk_c4))),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[259, 46])).
% 0.61/0.82 tff(261,plain,
% 0.61/0.82 (multiply(sk_c8, multiply(sk_c5, sk_c4)) = multiply(multiply(sk_c8, sk_c5), sk_c4)),
% 0.61/0.82 inference(symmetry,[status(thm)],[260])).
% 0.61/0.82 tff(262,plain,
% 0.61/0.82 (sk_c8 = inverse(sk_c4)),
% 0.61/0.82 inference(symmetry,[status(thm)],[251])).
% 0.61/0.82 tff(263,plain,
% 0.61/0.82 (multiply(sk_c8, sk_c8) = multiply(inverse(sk_c4), sk_c8)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[262])).
% 0.61/0.82 tff(264,plain,
% 0.61/0.82 (multiply(inverse(sk_c4), sk_c8) = multiply(sk_c8, sk_c8)),
% 0.61/0.82 inference(symmetry,[status(thm)],[263])).
% 0.61/0.82 tff(265,plain,
% 0.61/0.82 (multiply(sk_c4, sk_c8) = multiply(sk_c4, inverse(sk_c4))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[262])).
% 0.61/0.82 tff(266,plain,
% 0.61/0.82 (multiply(sk_c4, inverse(sk_c4)) = multiply(sk_c4, sk_c8)),
% 0.61/0.82 inference(symmetry,[status(thm)],[265])).
% 0.61/0.82 tff(267,plain,
% 0.61/0.82 (inverse(sk_c4) = sk_c7),
% 0.61/0.82 inference(transitivity,[status(thm)],[251, 191, 243, 228, 226, 218])).
% 0.61/0.82 tff(268,plain,
% 0.61/0.82 (multiply(sk_c4, inverse(sk_c4)) = multiply(sk_c4, sk_c7)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[267])).
% 0.61/0.82 tff(269,plain,
% 0.61/0.82 (multiply(sk_c4, sk_c7) = multiply(sk_c4, inverse(sk_c4))),
% 0.61/0.82 inference(symmetry,[status(thm)],[268])).
% 0.61/0.82 tff(270,plain,
% 0.61/0.82 (((inverse(sk_c8) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((inverse(sk_c8) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 0.61/0.82 inference(rewrite,[status(thm)],[])).
% 0.61/0.82 tff(271,axiom,((inverse(sk_c8) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_2')).
% 0.61/0.82 tff(272,plain,
% 0.61/0.82 ((inverse(sk_c8) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 0.61/0.82 inference(modus_ponens,[status(thm)],[271, 270])).
% 0.61/0.82 tff(273,plain,
% 0.61/0.82 (multiply(sk_c4, sk_c7) = sk_c8),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[272, 219])).
% 0.61/0.82 tff(274,plain,
% 0.61/0.82 (sk_c8 = multiply(sk_c4, sk_c7)),
% 0.61/0.82 inference(symmetry,[status(thm)],[273])).
% 0.61/0.82 tff(275,plain,
% 0.61/0.82 (sk_c8 = multiply(sk_c4, sk_c8)),
% 0.61/0.82 inference(transitivity,[status(thm)],[274, 269, 266])).
% 0.61/0.82 tff(276,plain,
% 0.61/0.82 (multiply(inverse(sk_c4), sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[251, 275])).
% 0.61/0.82 tff(277,plain,
% 0.61/0.82 (multiply(sk_c8, multiply(sk_c4, sk_c8)) = multiply(inverse(sk_c4), sk_c8)),
% 0.61/0.82 inference(symmetry,[status(thm)],[276])).
% 0.61/0.82 tff(278,plain,
% 0.61/0.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c8)))),
% 0.61/0.82 inference(quant_inst,[status(thm)],[])).
% 0.61/0.82 tff(279,plain,
% 0.61/0.82 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[278, 46])).
% 0.61/0.82 tff(280,plain,
% 0.61/0.82 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c4), sk_c4) = identity)),
% 0.61/0.82 inference(quant_inst,[status(thm)],[])).
% 0.61/0.82 tff(281,plain,
% 0.61/0.82 (multiply(inverse(sk_c4), sk_c4) = identity),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[280, 16])).
% 0.61/0.82 tff(282,plain,
% 0.61/0.82 (multiply(sk_c8, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[262])).
% 0.61/0.82 tff(283,plain,
% 0.61/0.82 (multiply(sk_c8, sk_c4) = multiply(sk_c8, sk_c5)),
% 0.61/0.82 inference(transitivity,[status(thm)],[282, 281, 255, 254])).
% 0.61/0.82 tff(284,plain,
% 0.61/0.82 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[283])).
% 0.61/0.82 tff(285,plain,
% 0.61/0.82 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(multiply(sk_c8, sk_c4), sk_c8)),
% 0.61/0.82 inference(symmetry,[status(thm)],[284])).
% 0.61/0.82 tff(286,plain,
% 0.61/0.82 (sk_c8 = multiply(sk_c8, sk_c8)),
% 0.61/0.82 inference(transitivity,[status(thm)],[191, 243, 285, 279, 277, 264])).
% 0.61/0.82 tff(287,plain,
% 0.61/0.82 (multiply(sk_c8, multiply(sk_c5, sk_c4)) = multiply(multiply(sk_c8, sk_c8), multiply(sk_c5, sk_c4))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[286])).
% 0.61/0.82 tff(288,plain,
% 0.61/0.82 (multiply(multiply(sk_c8, sk_c8), multiply(sk_c5, sk_c4)) = multiply(sk_c8, multiply(sk_c5, sk_c4))),
% 0.61/0.82 inference(symmetry,[status(thm)],[287])).
% 0.61/0.82 tff(289,plain,
% 0.61/0.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c8), multiply(sk_c5, sk_c4)) = multiply(sk_c8, multiply(sk_c8, multiply(sk_c5, sk_c4))))),
% 0.61/0.82 inference(quant_inst,[status(thm)],[])).
% 0.61/0.82 tff(290,plain,
% 0.61/0.82 (multiply(multiply(sk_c8, sk_c8), multiply(sk_c5, sk_c4)) = multiply(sk_c8, multiply(sk_c8, multiply(sk_c5, sk_c4)))),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[289, 46])).
% 0.61/0.82 tff(291,plain,
% 0.61/0.82 (multiply(sk_c8, multiply(sk_c8, multiply(sk_c5, sk_c4))) = multiply(multiply(sk_c8, sk_c8), multiply(sk_c5, sk_c4))),
% 0.61/0.82 inference(symmetry,[status(thm)],[290])).
% 0.61/0.82 tff(292,plain,
% 0.61/0.82 (multiply(sk_c8, multiply(sk_c5, sk_c4)) = sk_c4),
% 0.61/0.82 inference(transitivity,[status(thm)],[261, 258, 253])).
% 0.61/0.82 tff(293,plain,
% 0.61/0.82 (multiply(sk_c8, multiply(sk_c8, multiply(sk_c5, sk_c4))) = multiply(inverse(sk_c4), sk_c4)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[262, 292])).
% 0.61/0.82 tff(294,plain,
% 0.61/0.82 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c8, multiply(sk_c8, multiply(sk_c5, sk_c4)))),
% 0.61/0.82 inference(symmetry,[status(thm)],[293])).
% 0.61/0.82 tff(295,plain,
% 0.61/0.82 (identity = multiply(inverse(sk_c4), sk_c4)),
% 0.61/0.82 inference(symmetry,[status(thm)],[281])).
% 0.61/0.82 tff(296,plain,
% 0.61/0.82 (multiply(inverse(sk_c8), sk_c8) = multiply(inverse(sk_c8), multiply(sk_c8, sk_c8))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[286])).
% 0.61/0.82 tff(297,plain,
% 0.61/0.82 (multiply(inverse(sk_c8), multiply(sk_c8, sk_c8)) = multiply(inverse(sk_c8), sk_c8)),
% 0.61/0.82 inference(symmetry,[status(thm)],[296])).
% 0.61/0.82 tff(298,plain,
% 0.61/0.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c8), sk_c8), sk_c8) = multiply(inverse(sk_c8), multiply(sk_c8, sk_c8)))),
% 0.61/0.82 inference(quant_inst,[status(thm)],[])).
% 0.61/0.82 tff(299,plain,
% 0.61/0.82 (multiply(multiply(inverse(sk_c8), sk_c8), sk_c8) = multiply(inverse(sk_c8), multiply(sk_c8, sk_c8))),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[298, 46])).
% 0.61/0.82 tff(300,plain,
% 0.61/0.82 (multiply(inverse(sk_c8), sk_c8) = multiply(sk_c8, sk_c5)),
% 0.61/0.82 inference(transitivity,[status(thm)],[92, 255, 254])).
% 0.61/0.82 tff(301,plain,
% 0.61/0.82 (multiply(multiply(inverse(sk_c8), sk_c8), sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[300])).
% 0.61/0.82 tff(302,plain,
% 0.61/0.82 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(multiply(inverse(sk_c8), sk_c8), sk_c8)),
% 0.61/0.82 inference(symmetry,[status(thm)],[301])).
% 0.61/0.82 tff(303,plain,
% 0.61/0.82 (sk_c8 = sk_c4),
% 0.61/0.82 inference(transitivity,[status(thm)],[191, 243, 302, 299, 297, 92, 295, 294, 291, 288, 261, 258, 253])).
% 0.61/0.82 tff(304,plain,
% 0.61/0.82 (inverse(sk_c8) = inverse(sk_c4)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[303])).
% 0.61/0.82 tff(305,plain,
% 0.61/0.82 (inverse(sk_c8) = sk_c7),
% 0.61/0.82 inference(transitivity,[status(thm)],[304, 251, 191, 243, 228, 226, 218])).
% 0.61/0.82 tff(306,plain,
% 0.61/0.82 ($false),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[219, 305])).
% 0.61/0.82 tff(307,plain,(inverse(sk_c8) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 0.61/0.82 tff(308,plain,
% 0.61/0.82 (sk_c7 = inverse(sk_c8)),
% 0.61/0.82 inference(symmetry,[status(thm)],[307])).
% 0.61/0.82 tff(309,plain,
% 0.61/0.82 (((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c3) = sk_c7)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c3) = sk_c7))),
% 0.61/0.82 inference(rewrite,[status(thm)],[])).
% 0.61/0.82 tff(310,plain,
% 0.61/0.82 (((multiply(sk_c2, sk_c3) = sk_c7) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c3) = sk_c7))),
% 0.61/0.82 inference(rewrite,[status(thm)],[])).
% 0.61/0.82 tff(311,axiom,((multiply(sk_c2, sk_c3) = sk_c7) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_16')).
% 0.61/0.82 tff(312,plain,
% 0.61/0.82 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c3) = sk_c7)),
% 0.61/0.82 inference(modus_ponens,[status(thm)],[311, 310])).
% 0.61/0.82 tff(313,plain,
% 0.61/0.82 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c3) = sk_c7)),
% 0.61/0.82 inference(modus_ponens,[status(thm)],[312, 309])).
% 0.61/0.82 tff(314,plain,
% 0.61/0.82 (multiply(sk_c2, sk_c3) = sk_c7),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[313, 19])).
% 0.61/0.82 tff(315,plain,
% 0.61/0.82 (multiply(sk_c2, sk_c3) = inverse(sk_c8)),
% 0.61/0.82 inference(transitivity,[status(thm)],[314, 308])).
% 0.61/0.82 tff(316,plain,
% 0.61/0.82 (multiply(multiply(sk_c2, sk_c3), sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[315])).
% 0.61/0.82 tff(317,plain,
% 0.61/0.82 (multiply(inverse(sk_c8), sk_c8) = multiply(multiply(sk_c2, sk_c3), sk_c8)),
% 0.61/0.82 inference(symmetry,[status(thm)],[316])).
% 0.61/0.82 tff(318,plain,
% 0.61/0.82 (multiply(sk_c8, sk_c1) = multiply(sk_c2, sk_c7)),
% 0.61/0.82 inference(transitivity,[status(thm)],[25, 18, 93, 317, 60, 58])).
% 0.61/0.82 tff(319,plain,
% 0.61/0.82 (multiply(sk_c3, multiply(sk_c8, sk_c1)) = multiply(sk_c3, multiply(sk_c2, sk_c7))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[318])).
% 0.61/0.82 tff(320,plain,
% 0.61/0.82 (multiply(sk_c8, sk_c6) = inverse(sk_c8)),
% 0.61/0.82 inference(transitivity,[status(thm)],[218, 308])).
% 0.61/0.82 tff(321,plain,
% 0.61/0.82 (multiply(multiply(sk_c8, sk_c6), sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[320])).
% 0.61/0.82 tff(322,plain,
% 0.61/0.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c6), sk_c8) = multiply(sk_c8, multiply(sk_c6, sk_c8)))),
% 0.61/0.82 inference(quant_inst,[status(thm)],[])).
% 0.61/0.82 tff(323,plain,
% 0.61/0.82 (multiply(multiply(sk_c8, sk_c6), sk_c8) = multiply(sk_c8, multiply(sk_c6, sk_c8))),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[322, 46])).
% 0.61/0.82 tff(324,plain,
% 0.61/0.82 (multiply(sk_c8, multiply(sk_c6, sk_c8)) = multiply(multiply(sk_c8, sk_c6), sk_c8)),
% 0.61/0.82 inference(symmetry,[status(thm)],[323])).
% 0.61/0.82 tff(325,plain,
% 0.61/0.82 (((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8))),
% 0.61/0.82 inference(rewrite,[status(thm)],[])).
% 0.61/0.82 tff(326,plain,
% 0.61/0.82 (((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8))),
% 0.61/0.82 inference(rewrite,[status(thm)],[])).
% 0.61/0.82 tff(327,axiom,((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_11')).
% 0.61/0.82 tff(328,plain,
% 0.61/0.82 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8)),
% 0.61/0.82 inference(modus_ponens,[status(thm)],[327, 326])).
% 0.61/0.82 tff(329,plain,
% 0.61/0.82 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8)),
% 0.61/0.82 inference(modus_ponens,[status(thm)],[328, 325])).
% 0.61/0.82 tff(330,plain,
% 0.61/0.82 (multiply(sk_c1, sk_c7) = sk_c8),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[329, 19])).
% 0.61/0.82 tff(331,plain,
% 0.61/0.82 (sk_c8 = multiply(sk_c1, sk_c7)),
% 0.61/0.82 inference(symmetry,[status(thm)],[330])).
% 0.61/0.82 tff(332,plain,
% 0.61/0.82 (multiply(sk_c6, sk_c8) = multiply(sk_c6, multiply(sk_c1, sk_c7))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[331])).
% 0.61/0.82 tff(333,plain,
% 0.61/0.82 (multiply(sk_c6, multiply(sk_c1, sk_c7)) = multiply(sk_c6, sk_c8)),
% 0.61/0.82 inference(symmetry,[status(thm)],[332])).
% 0.61/0.82 tff(334,plain,
% 0.61/0.82 (multiply(sk_c8, multiply(sk_c6, multiply(sk_c1, sk_c7))) = multiply(sk_c8, multiply(sk_c6, sk_c8))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[333])).
% 0.61/0.82 tff(335,plain,
% 0.61/0.82 (multiply(sk_c8, multiply(sk_c6, multiply(sk_c1, sk_c7))) = multiply(sk_c8, sk_c1)),
% 0.61/0.82 inference(transitivity,[status(thm)],[334, 324, 321, 92, 29, 28])).
% 0.61/0.82 tff(336,plain,
% 0.61/0.82 (multiply(sk_c3, multiply(sk_c8, multiply(sk_c6, multiply(sk_c1, sk_c7)))) = multiply(sk_c3, multiply(sk_c8, sk_c1))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[335])).
% 0.61/0.82 tff(337,plain,
% 0.61/0.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c8), multiply(sk_c6, multiply(sk_c1, sk_c7))) = multiply(sk_c3, multiply(sk_c8, multiply(sk_c6, multiply(sk_c1, sk_c7)))))),
% 0.61/0.82 inference(quant_inst,[status(thm)],[])).
% 0.61/0.82 tff(338,plain,
% 0.61/0.82 (multiply(multiply(sk_c3, sk_c8), multiply(sk_c6, multiply(sk_c1, sk_c7))) = multiply(sk_c3, multiply(sk_c8, multiply(sk_c6, multiply(sk_c1, sk_c7))))),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[337, 46])).
% 0.61/0.82 tff(339,plain,
% 0.61/0.82 (multiply(sk_c7, multiply(sk_c6, sk_c8)) = multiply(multiply(sk_c3, sk_c8), multiply(sk_c6, multiply(sk_c1, sk_c7)))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[56, 332])).
% 0.61/0.82 tff(340,plain,
% 0.61/0.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c6), sk_c8) = multiply(sk_c7, multiply(sk_c6, sk_c8)))),
% 0.61/0.83 inference(quant_inst,[status(thm)],[])).
% 0.61/0.83 tff(341,plain,
% 0.61/0.83 (multiply(multiply(sk_c7, sk_c6), sk_c8) = multiply(sk_c7, multiply(sk_c6, sk_c8))),
% 0.61/0.83 inference(unit_resolution,[status(thm)],[340, 46])).
% 0.61/0.83 tff(342,plain,
% 0.61/0.83 (multiply(sk_c7, sk_c6) = multiply(multiply(sk_c3, sk_c8), sk_c6)),
% 0.61/0.83 inference(monotonicity,[status(thm)],[56])).
% 0.61/0.83 tff(343,plain,
% 0.61/0.83 (multiply(multiply(sk_c3, sk_c8), sk_c6) = multiply(sk_c7, sk_c6)),
% 0.61/0.83 inference(symmetry,[status(thm)],[342])).
% 0.61/0.83 tff(344,plain,
% 0.61/0.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c8), sk_c6) = multiply(sk_c3, multiply(sk_c8, sk_c6)))),
% 0.61/0.83 inference(quant_inst,[status(thm)],[])).
% 0.61/0.83 tff(345,plain,
% 0.61/0.83 (multiply(multiply(sk_c3, sk_c8), sk_c6) = multiply(sk_c3, multiply(sk_c8, sk_c6))),
% 0.61/0.83 inference(unit_resolution,[status(thm)],[344, 46])).
% 0.61/0.83 tff(346,plain,
% 0.61/0.83 (multiply(sk_c3, multiply(sk_c8, sk_c6)) = multiply(multiply(sk_c3, sk_c8), sk_c6)),
% 0.61/0.83 inference(symmetry,[status(thm)],[345])).
% 0.61/0.83 tff(347,plain,
% 0.61/0.83 (multiply(sk_c8, sk_c8) = multiply(sk_c8, multiply(sk_c1, sk_c7))),
% 0.61/0.83 inference(monotonicity,[status(thm)],[331])).
% 0.61/0.83 tff(348,plain,
% 0.61/0.83 (multiply(sk_c8, multiply(sk_c1, sk_c7)) = multiply(sk_c8, sk_c8)),
% 0.61/0.83 inference(symmetry,[status(thm)],[347])).
% 0.61/0.83 tff(349,plain,
% 0.61/0.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c1), sk_c7) = multiply(sk_c8, multiply(sk_c1, sk_c7)))),
% 0.61/0.83 inference(quant_inst,[status(thm)],[])).
% 0.61/0.83 tff(350,plain,
% 0.61/0.83 (multiply(multiply(sk_c8, sk_c1), sk_c7) = multiply(sk_c8, multiply(sk_c1, sk_c7))),
% 0.61/0.83 inference(unit_resolution,[status(thm)],[349, 46])).
% 0.61/0.83 tff(351,plain,
% 0.61/0.83 (multiply(identity, sk_c7) = multiply(multiply(sk_c8, sk_c1), sk_c7)),
% 0.61/0.83 inference(symmetry,[status(thm)],[27])).
% 0.61/0.83 tff(352,plain,
% 0.61/0.83 (multiply(sk_c8, sk_c6) = multiply(sk_c8, sk_c8)),
% 0.61/0.83 inference(transitivity,[status(thm)],[218, 116, 351, 350, 348])).
% 0.61/0.83 tff(353,plain,
% 0.61/0.83 (multiply(sk_c3, multiply(sk_c8, sk_c6)) = multiply(sk_c3, multiply(sk_c8, sk_c8))),
% 0.61/0.83 inference(monotonicity,[status(thm)],[352])).
% 0.61/0.83 tff(354,plain,
% 0.61/0.83 (multiply(sk_c3, multiply(sk_c8, sk_c8)) = multiply(sk_c3, multiply(sk_c8, sk_c6))),
% 0.61/0.83 inference(symmetry,[status(thm)],[353])).
% 0.61/0.83 tff(355,plain,
% 0.61/0.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c8), sk_c8) = multiply(sk_c3, multiply(sk_c8, sk_c8)))),
% 0.61/0.83 inference(quant_inst,[status(thm)],[])).
% 0.61/0.83 tff(356,plain,
% 0.61/0.83 (multiply(multiply(sk_c3, sk_c8), sk_c8) = multiply(sk_c3, multiply(sk_c8, sk_c8))),
% 0.61/0.83 inference(unit_resolution,[status(thm)],[355, 46])).
% 0.61/0.83 tff(357,plain,
% 0.61/0.83 (multiply(sk_c3, sk_c8) = inverse(sk_c8)),
% 0.61/0.83 inference(transitivity,[status(thm)],[55, 308])).
% 0.61/0.83 tff(358,plain,
% 0.61/0.83 (multiply(multiply(sk_c3, sk_c8), sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 0.61/0.83 inference(monotonicity,[status(thm)],[357])).
% 0.61/0.83 tff(359,plain,
% 0.61/0.83 (multiply(inverse(sk_c8), sk_c8) = multiply(multiply(sk_c3, sk_c8), sk_c8)),
% 0.61/0.83 inference(symmetry,[status(thm)],[358])).
% 0.61/0.83 tff(360,plain,
% 0.61/0.83 (multiply(sk_c8, sk_c1) = multiply(sk_c7, sk_c6)),
% 0.61/0.83 inference(transitivity,[status(thm)],[25, 18, 93, 359, 356, 354, 346, 343])).
% 0.61/0.83 tff(361,plain,
% 0.61/0.83 (multiply(multiply(sk_c8, sk_c1), sk_c8) = multiply(multiply(sk_c7, sk_c6), sk_c8)),
% 0.61/0.83 inference(monotonicity,[status(thm)],[360])).
% 0.61/0.83 tff(362,plain,
% 0.61/0.83 (multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7),
% 0.61/0.83 inference(transitivity,[status(thm)],[135, 361, 341, 339, 338, 336, 319, 49, 39, 27, 9])).
% 0.61/0.83 tff(363,plain,
% 0.61/0.83 (multiply(sk_c2, inverse(sk_c2)) = multiply(sk_c2, sk_c3)),
% 0.61/0.83 inference(monotonicity,[status(thm)],[35])).
% 0.61/0.83 tff(364,plain,
% 0.61/0.83 (multiply(sk_c2, inverse(sk_c2)) = sk_c7),
% 0.61/0.83 inference(transitivity,[status(thm)],[363, 314])).
% 0.61/0.83 tff(365,plain,
% 0.61/0.83 (multiply(inverse(sk_c2), sk_c8) = multiply(sk_c3, sk_c8)),
% 0.61/0.83 inference(monotonicity,[status(thm)],[35])).
% 0.61/0.83 tff(366,plain,
% 0.61/0.83 (multiply(inverse(sk_c2), sk_c8) = sk_c7),
% 0.61/0.83 inference(transitivity,[status(thm)],[365, 55])).
% 0.61/0.83 tff(367,plain,
% 0.61/0.83 ((~(multiply(inverse(sk_c2), sk_c8) = sk_c7)) | (~(multiply(sk_c2, inverse(sk_c2)) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7))),
% 0.61/0.83 inference(unit_resolution,[status(thm)],[166, 307, 23, 330, 160])).
% 0.61/0.83 tff(368,plain,
% 0.61/0.83 (~(multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7)),
% 0.61/0.83 inference(unit_resolution,[status(thm)],[367, 366, 364])).
% 0.61/0.83 tff(369,plain,
% 0.61/0.83 ($false),
% 0.61/0.83 inference(unit_resolution,[status(thm)],[368, 362])).
% 0.61/0.83 tff(370,plain,(inverse(sk_c4) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 0.61/0.83 tff(371,plain,
% 0.61/0.83 (sk_c8 = inverse(sk_c4)),
% 0.61/0.83 inference(symmetry,[status(thm)],[370])).
% 0.61/0.83 tff(372,plain,
% 0.61/0.83 (multiply(sk_c8, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 0.61/0.83 inference(monotonicity,[status(thm)],[371])).
% 0.61/0.83 tff(373,plain,
% 0.61/0.83 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c8, sk_c4)),
% 0.61/0.83 inference(symmetry,[status(thm)],[372])).
% 0.61/0.83 tff(374,plain,
% 0.61/0.83 (identity = multiply(sk_c8, sk_c4)),
% 0.61/0.83 inference(transitivity,[status(thm)],[295, 373])).
% 0.61/0.83 tff(375,plain,
% 0.61/0.83 (multiply(identity, sk_c7) = multiply(multiply(sk_c8, sk_c4), sk_c7)),
% 0.61/0.83 inference(monotonicity,[status(thm)],[374])).
% 0.61/0.83 tff(376,plain,
% 0.61/0.83 (multiply(multiply(sk_c8, sk_c4), sk_c7) = multiply(identity, sk_c7)),
% 0.61/0.83 inference(symmetry,[status(thm)],[375])).
% 0.61/0.83 tff(377,plain,
% 0.61/0.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c4), sk_c7) = multiply(sk_c8, multiply(sk_c4, sk_c7)))),
% 0.61/0.83 inference(quant_inst,[status(thm)],[])).
% 0.61/0.83 tff(378,plain,
% 0.61/0.83 (multiply(multiply(sk_c8, sk_c4), sk_c7) = multiply(sk_c8, multiply(sk_c4, sk_c7))),
% 0.61/0.83 inference(unit_resolution,[status(thm)],[377, 46])).
% 0.61/0.83 tff(379,plain,
% 0.61/0.83 (multiply(sk_c8, multiply(sk_c4, sk_c7)) = multiply(multiply(sk_c8, sk_c4), sk_c7)),
% 0.61/0.83 inference(symmetry,[status(thm)],[378])).
% 0.61/0.83 tff(380,assumption,(~(inverse(sk_c2) = sk_c3)), introduced(assumption)).
% 0.61/0.83 tff(381,plain,
% 0.61/0.83 (((inverse(sk_c2) = sk_c3) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((inverse(sk_c2) = sk_c3) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 0.61/0.83 inference(rewrite,[status(thm)],[])).
% 0.61/0.83 tff(382,axiom,((inverse(sk_c2) = sk_c3) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_22')).
% 0.61/0.83 tff(383,plain,
% 0.61/0.83 ((inverse(sk_c2) = sk_c3) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 0.61/0.83 inference(modus_ponens,[status(thm)],[382, 381])).
% 0.61/0.83 tff(384,plain,
% 0.61/0.83 (multiply(sk_c4, sk_c7) = sk_c8),
% 0.61/0.83 inference(unit_resolution,[status(thm)],[383, 380])).
% 0.61/0.83 tff(385,plain,
% 0.61/0.83 (multiply(sk_c8, multiply(sk_c4, sk_c7)) = multiply(sk_c8, sk_c8)),
% 0.61/0.83 inference(monotonicity,[status(thm)],[384])).
% 0.61/0.83 tff(386,plain,
% 0.61/0.83 (multiply(sk_c8, sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c7))),
% 0.61/0.83 inference(symmetry,[status(thm)],[385])).
% 0.61/0.83 tff(387,plain,
% 0.61/0.83 (multiply(multiply(sk_c4, sk_c7), sk_c8) = multiply(sk_c8, sk_c8)),
% 0.61/0.83 inference(monotonicity,[status(thm)],[384])).
% 0.61/0.83 tff(388,plain,
% 0.61/0.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c7), sk_c8) = multiply(sk_c4, multiply(sk_c7, sk_c8)))),
% 0.61/0.83 inference(quant_inst,[status(thm)],[])).
% 0.61/0.83 tff(389,plain,
% 0.61/0.83 (multiply(multiply(sk_c4, sk_c7), sk_c8) = multiply(sk_c4, multiply(sk_c7, sk_c8))),
% 0.61/0.83 inference(unit_resolution,[status(thm)],[388, 46])).
% 0.61/0.83 tff(390,plain,
% 0.61/0.83 (multiply(sk_c4, multiply(sk_c7, sk_c8)) = multiply(multiply(sk_c4, sk_c7), sk_c8)),
% 0.61/0.83 inference(symmetry,[status(thm)],[389])).
% 0.61/0.83 tff(391,plain,
% 0.61/0.83 (multiply(sk_c7, sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 0.61/0.83 inference(monotonicity,[status(thm)],[308])).
% 0.61/0.83 tff(392,plain,
% 0.61/0.83 (multiply(inverse(sk_c8), sk_c8) = multiply(sk_c7, sk_c8)),
% 0.61/0.83 inference(symmetry,[status(thm)],[391])).
% 0.61/0.83 tff(393,plain,
% 0.61/0.83 (((inverse(sk_c2) = sk_c3) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c2) = sk_c3) | (inverse(sk_c5) = sk_c8))),
% 0.61/0.83 inference(rewrite,[status(thm)],[])).
% 0.61/0.83 tff(394,axiom,((inverse(sk_c2) = sk_c3) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_25')).
% 0.61/0.83 tff(395,plain,
% 0.61/0.83 ((inverse(sk_c2) = sk_c3) | (inverse(sk_c5) = sk_c8)),
% 0.61/0.83 inference(modus_ponens,[status(thm)],[394, 393])).
% 0.61/0.83 tff(396,plain,
% 0.61/0.83 (inverse(sk_c5) = sk_c8),
% 0.61/0.83 inference(unit_resolution,[status(thm)],[395, 380])).
% 0.61/0.83 tff(397,plain,
% 0.61/0.83 (sk_c8 = inverse(sk_c5)),
% 0.61/0.83 inference(symmetry,[status(thm)],[396])).
% 0.61/0.83 tff(398,plain,
% 0.61/0.83 (multiply(sk_c8, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 0.61/0.83 inference(monotonicity,[status(thm)],[397])).
% 0.61/0.83 tff(399,plain,
% 0.61/0.83 (multiply(sk_c8, sk_c5) = multiply(sk_c7, sk_c8)),
% 0.61/0.83 inference(transitivity,[status(thm)],[398, 230, 93, 392])).
% 0.61/0.83 tff(400,plain,
% 0.61/0.83 (multiply(sk_c4, multiply(sk_c8, sk_c5)) = multiply(sk_c4, multiply(sk_c7, sk_c8))),
% 0.61/0.83 inference(monotonicity,[status(thm)],[399])).
% 0.61/0.83 tff(401,plain,
% 0.61/0.83 (multiply(inverse(sk_c5), sk_c5) = multiply(sk_c8, sk_c5)),
% 0.61/0.83 inference(symmetry,[status(thm)],[398])).
% 0.61/0.83 tff(402,assumption,(~(inverse(sk_c1) = sk_c8)), introduced(assumption)).
% 0.61/0.83 tff(403,plain,
% 0.61/0.83 (((inverse(sk_c1) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((inverse(sk_c1) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 0.61/0.83 inference(rewrite,[status(thm)],[])).
% 0.61/0.83 tff(404,axiom,((inverse(sk_c1) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_9')).
% 0.61/0.83 tff(405,plain,
% 0.61/0.83 ((inverse(sk_c1) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 0.61/0.83 inference(modus_ponens,[status(thm)],[404, 403])).
% 0.61/0.83 tff(406,plain,
% 0.61/0.83 (multiply(sk_c5, sk_c8) = sk_c6),
% 0.61/0.83 inference(unit_resolution,[status(thm)],[405, 402])).
% 0.61/0.83 tff(407,plain,
% 0.61/0.83 (sk_c6 = multiply(sk_c5, sk_c8)),
% 0.61/0.83 inference(symmetry,[status(thm)],[406])).
% 0.61/0.83 tff(408,plain,
% 0.61/0.83 (multiply(sk_c8, sk_c6) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 0.61/0.83 inference(monotonicity,[status(thm)],[407])).
% 0.61/0.83 tff(409,plain,
% 0.61/0.83 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(sk_c8, sk_c6)),
% 0.61/0.83 inference(symmetry,[status(thm)],[408])).
% 0.61/0.83 tff(410,plain,
% 0.61/0.83 (((inverse(sk_c1) = sk_c8) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c1) = sk_c8) | (inverse(sk_c5) = sk_c8))),
% 0.61/0.83 inference(rewrite,[status(thm)],[])).
% 0.61/0.83 tff(411,axiom,((inverse(sk_c1) = sk_c8) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_10')).
% 0.61/0.83 tff(412,plain,
% 0.61/0.83 ((inverse(sk_c1) = sk_c8) | (inverse(sk_c5) = sk_c8)),
% 0.61/0.83 inference(modus_ponens,[status(thm)],[411, 410])).
% 0.61/0.83 tff(413,plain,
% 0.61/0.83 (inverse(sk_c5) = sk_c8),
% 0.61/0.83 inference(unit_resolution,[status(thm)],[412, 402])).
% 0.61/0.83 tff(414,plain,
% 0.61/0.83 (sk_c8 = inverse(sk_c5)),
% 0.61/0.83 inference(symmetry,[status(thm)],[413])).
% 0.61/0.83 tff(415,plain,
% 0.61/0.83 (multiply(sk_c8, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 0.61/0.83 inference(monotonicity,[status(thm)],[414])).
% 0.61/0.83 tff(416,plain,
% 0.61/0.83 (multiply(inverse(sk_c5), sk_c5) = multiply(sk_c8, sk_c5)),
% 0.61/0.83 inference(symmetry,[status(thm)],[415])).
% 0.61/0.83 tff(417,plain,
% 0.61/0.83 (multiply(sk_c7, sk_c8) = multiply(sk_c8, sk_c5)),
% 0.61/0.83 inference(transitivity,[status(thm)],[391, 92, 255, 416])).
% 0.61/0.83 tff(418,plain,
% 0.61/0.83 (multiply(multiply(sk_c7, sk_c8), sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 0.61/0.83 inference(monotonicity,[status(thm)],[417])).
% 0.61/0.83 tff(419,plain,
% 0.61/0.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c8), sk_c8) = multiply(sk_c7, multiply(sk_c8, sk_c8)))),
% 0.61/0.83 inference(quant_inst,[status(thm)],[])).
% 0.61/0.83 tff(420,plain,
% 0.61/0.83 (multiply(multiply(sk_c7, sk_c8), sk_c8) = multiply(sk_c7, multiply(sk_c8, sk_c8))),
% 0.61/0.83 inference(unit_resolution,[status(thm)],[419, 46])).
% 0.61/0.83 tff(421,plain,
% 0.61/0.83 (multiply(sk_c7, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c7, sk_c8), sk_c8)),
% 0.61/0.83 inference(symmetry,[status(thm)],[420])).
% 0.61/0.83 tff(422,plain,
% 0.61/0.83 (identity = multiply(sk_c8, sk_c5)),
% 0.61/0.83 inference(transitivity,[status(thm)],[255, 416])).
% 0.61/0.83 tff(423,plain,
% 0.61/0.83 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 0.61/0.83 inference(monotonicity,[status(thm)],[422])).
% 0.61/0.83 tff(424,plain,
% 0.61/0.83 (sk_c8 = sk_c7),
% 0.61/0.83 inference(transitivity,[status(thm)],[191, 423, 228, 409, 218])).
% 0.61/0.83 tff(425,plain,
% 0.61/0.83 (multiply(sk_c8, multiply(sk_c8, sk_c8)) = multiply(sk_c7, multiply(sk_c8, sk_c8))),
% 0.67/0.83 inference(monotonicity,[status(thm)],[424])).
% 0.67/0.83 tff(426,plain,
% 0.67/0.83 (multiply(sk_c8, multiply(sk_c8, sk_c8)) = sk_c7),
% 0.67/0.83 inference(transitivity,[status(thm)],[425, 421, 418, 228, 409, 218])).
% 0.67/0.83 tff(427,plain,
% 0.67/0.83 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(identity, sk_c8)),
% 0.67/0.83 inference(symmetry,[status(thm)],[423])).
% 0.67/0.83 tff(428,plain,
% 0.67/0.83 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 0.67/0.83 inference(symmetry,[status(thm)],[228])).
% 0.67/0.83 tff(429,plain,
% 0.67/0.83 (sk_c7 = multiply(sk_c8, sk_c6)),
% 0.67/0.83 inference(symmetry,[status(thm)],[218])).
% 0.67/0.83 tff(430,plain,
% 0.67/0.83 (sk_c7 = sk_c8),
% 0.67/0.83 inference(transitivity,[status(thm)],[429, 408, 428, 427, 131])).
% 0.67/0.83 tff(431,plain,
% 0.67/0.83 (multiply(sk_c8, inverse(sk_c8)) = multiply(sk_c8, sk_c7)),
% 0.67/0.83 inference(monotonicity,[status(thm)],[307])).
% 0.67/0.83 tff(432,plain,
% 0.67/0.83 ((multiply(sk_c8, inverse(sk_c8)) = sk_c7) <=> (multiply(sk_c8, sk_c7) = sk_c8)),
% 0.67/0.83 inference(monotonicity,[status(thm)],[431, 430])).
% 0.67/0.83 tff(433,plain,
% 0.67/0.83 ((multiply(sk_c8, sk_c7) = sk_c8) <=> (multiply(sk_c8, inverse(sk_c8)) = sk_c7)),
% 0.67/0.83 inference(symmetry,[status(thm)],[432])).
% 0.67/0.83 tff(434,plain,
% 0.67/0.83 (multiply(sk_c6, sk_c8) = multiply(multiply(sk_c5, sk_c8), sk_c8)),
% 0.67/0.83 inference(monotonicity,[status(thm)],[407])).
% 0.67/0.83 tff(435,plain,
% 0.67/0.83 (multiply(multiply(sk_c5, sk_c8), sk_c8) = multiply(sk_c6, sk_c8)),
% 0.67/0.83 inference(symmetry,[status(thm)],[434])).
% 0.67/0.83 tff(436,plain,
% 0.67/0.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c8), sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.67/0.83 inference(quant_inst,[status(thm)],[])).
% 0.67/0.83 tff(437,plain,
% 0.67/0.83 (multiply(multiply(sk_c5, sk_c8), sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8))),
% 0.67/0.83 inference(unit_resolution,[status(thm)],[436, 46])).
% 0.67/0.83 tff(438,plain,
% 0.67/0.83 (multiply(sk_c5, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c5, sk_c8), sk_c8)),
% 0.67/0.83 inference(symmetry,[status(thm)],[437])).
% 0.67/0.83 tff(439,plain,
% 0.67/0.83 (multiply(sk_c5, multiply(sk_c8, sk_c8)) = multiply(sk_c6, sk_c8)),
% 0.67/0.83 inference(transitivity,[status(thm)],[438, 435])).
% 0.67/0.83 tff(440,plain,
% 0.67/0.83 (multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c8, multiply(sk_c6, sk_c8))),
% 0.67/0.83 inference(monotonicity,[status(thm)],[439])).
% 0.67/0.83 tff(441,plain,
% 0.67/0.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c5), multiply(sk_c8, sk_c8)) = multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 0.67/0.83 inference(quant_inst,[status(thm)],[])).
% 0.67/0.83 tff(442,plain,
% 0.67/0.83 (multiply(multiply(sk_c8, sk_c5), multiply(sk_c8, sk_c8)) = multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.67/0.83 inference(unit_resolution,[status(thm)],[441, 46])).
% 0.67/0.83 tff(443,plain,
% 0.67/0.83 (multiply(identity, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c8, sk_c5), multiply(sk_c8, sk_c8))),
% 0.67/0.83 inference(monotonicity,[status(thm)],[422])).
% 0.67/0.83 tff(444,plain,
% 0.67/0.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c8), sk_c8) = multiply(identity, multiply(sk_c8, sk_c8)))),
% 0.67/0.83 inference(quant_inst,[status(thm)],[])).
% 0.67/0.83 tff(445,plain,
% 0.67/0.83 (multiply(multiply(identity, sk_c8), sk_c8) = multiply(identity, multiply(sk_c8, sk_c8))),
% 0.67/0.83 inference(unit_resolution,[status(thm)],[444, 46])).
% 0.67/0.83 tff(446,plain,
% 0.67/0.83 (multiply(sk_c8, sk_c8) = multiply(multiply(identity, sk_c8), sk_c8)),
% 0.67/0.83 inference(monotonicity,[status(thm)],[191])).
% 0.67/0.83 tff(447,plain,
% 0.67/0.83 (multiply(sk_c8, sk_c7) = multiply(sk_c8, sk_c8)),
% 0.67/0.83 inference(monotonicity,[status(thm)],[430])).
% 0.67/0.83 tff(448,plain,
% 0.67/0.83 (multiply(sk_c8, sk_c7) = multiply(inverse(sk_c8), sk_c8)),
% 0.67/0.83 inference(transitivity,[status(thm)],[447, 446, 445, 443, 442, 440, 324, 321])).
% 0.67/0.83 tff(449,plain,
% 0.67/0.83 ((multiply(sk_c8, sk_c7) = sk_c8) <=> (multiply(inverse(sk_c8), sk_c8) = sk_c7)),
% 0.67/0.83 inference(monotonicity,[status(thm)],[448, 424])).
% 0.67/0.83 tff(450,plain,
% 0.67/0.83 ((multiply(inverse(sk_c8), sk_c8) = sk_c7) <=> (multiply(sk_c8, sk_c7) = sk_c8)),
% 0.67/0.83 inference(symmetry,[status(thm)],[449])).
% 0.67/0.83 tff(451,plain,
% 0.67/0.83 ((multiply(inverse(sk_c8), sk_c8) = sk_c7) <=> (multiply(sk_c8, inverse(sk_c8)) = sk_c7)),
% 0.67/0.83 inference(transitivity,[status(thm)],[450, 433])).
% 0.67/0.83 tff(452,plain,
% 0.67/0.83 (multiply(sk_c8, sk_c5) = multiply(sk_c8, sk_c4)),
% 0.67/0.83 inference(transitivity,[status(thm)],[415, 230, 295, 373])).
% 0.67/0.83 tff(453,plain,
% 0.67/0.83 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(multiply(sk_c8, sk_c4), sk_c8)),
% 0.67/0.83 inference(monotonicity,[status(thm)],[452])).
% 0.67/0.83 tff(454,plain,
% 0.67/0.83 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 0.67/0.83 inference(symmetry,[status(thm)],[453])).
% 0.67/0.83 tff(455,plain,
% 0.67/0.83 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(multiply(sk_c8, sk_c4), sk_c7)),
% 0.67/0.83 inference(monotonicity,[status(thm)],[424])).
% 0.67/0.83 tff(456,plain,
% 0.67/0.83 (multiply(multiply(sk_c8, sk_c4), sk_c7) = multiply(multiply(sk_c8, sk_c4), sk_c8)),
% 0.67/0.83 inference(symmetry,[status(thm)],[455])).
% 0.67/0.83 tff(457,plain,
% 0.67/0.83 (((inverse(sk_c1) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((inverse(sk_c1) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 0.67/0.83 inference(rewrite,[status(thm)],[])).
% 0.67/0.83 tff(458,axiom,((inverse(sk_c1) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_7')).
% 0.67/0.83 tff(459,plain,
% 0.67/0.83 ((inverse(sk_c1) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 0.67/0.83 inference(modus_ponens,[status(thm)],[458, 457])).
% 0.67/0.83 tff(460,plain,
% 0.67/0.83 (multiply(sk_c4, sk_c7) = sk_c8),
% 0.67/0.83 inference(unit_resolution,[status(thm)],[459, 402])).
% 0.67/0.83 tff(461,plain,
% 0.67/0.83 (multiply(sk_c8, multiply(sk_c4, sk_c7)) = multiply(sk_c8, sk_c8)),
% 0.67/0.83 inference(monotonicity,[status(thm)],[460])).
% 0.67/0.83 tff(462,plain,
% 0.67/0.83 (multiply(sk_c8, sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c7))),
% 0.67/0.83 inference(symmetry,[status(thm)],[461])).
% 0.67/0.83 tff(463,plain,
% 0.67/0.83 (multiply(multiply(identity, sk_c8), sk_c8) = multiply(sk_c8, sk_c8)),
% 0.67/0.83 inference(symmetry,[status(thm)],[446])).
% 0.67/0.83 tff(464,plain,
% 0.67/0.83 (multiply(identity, multiply(sk_c8, sk_c8)) = multiply(multiply(identity, sk_c8), sk_c8)),
% 0.67/0.83 inference(symmetry,[status(thm)],[445])).
% 0.67/0.83 tff(465,plain,
% 0.67/0.83 (multiply(multiply(sk_c8, sk_c5), multiply(sk_c8, sk_c8)) = multiply(identity, multiply(sk_c8, sk_c8))),
% 0.67/0.83 inference(symmetry,[status(thm)],[443])).
% 0.67/0.83 tff(466,plain,
% 0.67/0.83 (multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c8, sk_c5), multiply(sk_c8, sk_c8))),
% 0.67/0.83 inference(symmetry,[status(thm)],[442])).
% 0.67/0.83 tff(467,plain,
% 0.67/0.83 (multiply(sk_c8, multiply(sk_c6, sk_c8)) = multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.67/0.83 inference(symmetry,[status(thm)],[440])).
% 0.67/0.83 tff(468,plain,
% 0.67/0.83 (multiply(inverse(sk_c8), sk_c8) = multiply(multiply(sk_c8, sk_c6), sk_c8)),
% 0.67/0.83 inference(symmetry,[status(thm)],[321])).
% 0.67/0.83 tff(469,plain,
% 0.67/0.83 (multiply(inverse(sk_c8), sk_c8) = sk_c7),
% 0.67/0.83 inference(transitivity,[status(thm)],[468, 323, 467, 466, 465, 464, 463, 462, 379, 456, 454, 228, 409, 218])).
% 0.67/0.83 tff(470,plain,
% 0.67/0.83 (multiply(sk_c8, inverse(sk_c8)) = sk_c7),
% 0.67/0.83 inference(modus_ponens,[status(thm)],[469, 451])).
% 0.67/0.83 tff(471,plain,
% 0.67/0.83 (inverse(sk_c8) = sk_c8),
% 0.67/0.83 inference(transitivity,[status(thm)],[307, 429, 408, 428, 427, 131])).
% 0.67/0.83 tff(472,plain,
% 0.67/0.83 (multiply(sk_c8, sk_c7) = sk_c8),
% 0.67/0.83 inference(modus_ponens,[status(thm)],[469, 450])).
% 0.67/0.83 tff(473,plain,
% 0.67/0.83 (((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c8) = sk_c7)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c8, sk_c8)) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c8) = sk_c7)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c8, sk_c8)) = sk_c7)))),
% 0.67/0.83 inference(rewrite,[status(thm)],[])).
% 0.67/0.83 tff(474,plain,
% 0.67/0.83 (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c8) = sk_c7)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c8, sk_c8)) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c8) = sk_c7)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c8, sk_c8)) = sk_c7)))),
% 0.67/0.83 inference(rewrite,[status(thm)],[])).
% 0.67/0.83 tff(475,plain,
% 0.67/0.83 (((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c8) = sk_c7)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c8, sk_c8)) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c8) = sk_c7)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c8, sk_c8)) = sk_c7))))),
% 0.67/0.83 inference(monotonicity,[status(thm)],[474])).
% 0.67/0.83 tff(476,plain,
% 0.67/0.83 (((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c8) = sk_c7)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c8, sk_c8)) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c8) = sk_c7)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c8, sk_c8)) = sk_c7)))),
% 0.67/0.83 inference(transitivity,[status(thm)],[475, 473])).
% 0.67/0.83 tff(477,plain,
% 0.67/0.83 ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c8) = sk_c7)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c8, sk_c8)) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c8)))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(478,plain,
% 0.67/0.84 ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c8) = sk_c7)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c8, sk_c8)) = sk_c7))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[477, 476])).
% 0.67/0.84 tff(479,plain,
% 0.67/0.84 ((~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c8) = sk_c7)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c8, sk_c8)) = sk_c7))),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[478, 307, 160])).
% 0.67/0.84 tff(480,plain,
% 0.67/0.84 ($false),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[479, 472, 471, 469, 470, 426])).
% 0.67/0.84 tff(481,plain,(inverse(sk_c1) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 0.67/0.84 tff(482,plain,
% 0.67/0.84 (sk_c8 = inverse(sk_c1)),
% 0.67/0.84 inference(symmetry,[status(thm)],[481])).
% 0.67/0.84 tff(483,plain,
% 0.67/0.84 (multiply(sk_c8, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 0.67/0.84 inference(monotonicity,[status(thm)],[482])).
% 0.67/0.84 tff(484,plain,
% 0.67/0.84 (multiply(sk_c8, sk_c1) = identity),
% 0.67/0.84 inference(transitivity,[status(thm)],[483, 18])).
% 0.67/0.84 tff(485,plain,
% 0.67/0.84 (multiply(multiply(sk_c8, sk_c1), sk_c7) = multiply(identity, sk_c7)),
% 0.67/0.84 inference(monotonicity,[status(thm)],[484])).
% 0.67/0.84 tff(486,plain,
% 0.67/0.84 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c8, sk_c1)),
% 0.67/0.84 inference(symmetry,[status(thm)],[483])).
% 0.67/0.84 tff(487,assumption,(~(multiply(sk_c5, sk_c8) = sk_c6)), introduced(assumption)).
% 0.67/0.84 tff(488,plain,
% 0.67/0.84 (((inverse(sk_c2) = sk_c3) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((inverse(sk_c2) = sk_c3) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(489,axiom,((inverse(sk_c2) = sk_c3) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_24')).
% 0.67/0.84 tff(490,plain,
% 0.67/0.84 ((inverse(sk_c2) = sk_c3) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[489, 488])).
% 0.67/0.84 tff(491,plain,
% 0.67/0.84 (inverse(sk_c2) = sk_c3),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[490, 487])).
% 0.67/0.84 tff(492,plain,
% 0.67/0.84 (sk_c3 = inverse(sk_c2)),
% 0.67/0.84 inference(symmetry,[status(thm)],[491])).
% 0.67/0.84 tff(493,plain,
% 0.67/0.84 (multiply(sk_c3, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 0.67/0.84 inference(monotonicity,[status(thm)],[492])).
% 0.67/0.84 tff(494,plain,
% 0.67/0.84 (multiply(sk_c3, sk_c2) = multiply(sk_c8, sk_c1)),
% 0.67/0.84 inference(transitivity,[status(thm)],[493, 31, 29, 486])).
% 0.67/0.84 tff(495,plain,
% 0.67/0.84 (multiply(multiply(sk_c3, sk_c2), sk_c7) = multiply(multiply(sk_c8, sk_c1), sk_c7)),
% 0.67/0.84 inference(monotonicity,[status(thm)],[494])).
% 0.67/0.84 tff(496,plain,
% 0.67/0.84 (((multiply(sk_c3, sk_c8) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((multiply(sk_c3, sk_c8) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(497,axiom,((multiply(sk_c3, sk_c8) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_29')).
% 0.67/0.84 tff(498,plain,
% 0.67/0.84 ((multiply(sk_c3, sk_c8) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[497, 496])).
% 0.67/0.84 tff(499,plain,
% 0.67/0.84 (multiply(sk_c3, sk_c8) = sk_c7),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[498, 487])).
% 0.67/0.84 tff(500,plain,
% 0.67/0.84 (sk_c7 = multiply(sk_c3, sk_c8)),
% 0.67/0.84 inference(symmetry,[status(thm)],[499])).
% 0.67/0.84 tff(501,plain,
% 0.67/0.84 (multiply(sk_c2, sk_c7) = multiply(sk_c2, multiply(sk_c3, sk_c8))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[500])).
% 0.67/0.84 tff(502,plain,
% 0.67/0.84 (multiply(sk_c2, multiply(sk_c3, sk_c8)) = multiply(sk_c2, sk_c7)),
% 0.67/0.84 inference(symmetry,[status(thm)],[501])).
% 0.67/0.84 tff(503,plain,
% 0.67/0.84 (((multiply(sk_c2, sk_c3) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((multiply(sk_c2, sk_c3) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(504,axiom,((multiply(sk_c2, sk_c3) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_19')).
% 0.67/0.84 tff(505,plain,
% 0.67/0.84 ((multiply(sk_c2, sk_c3) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[504, 503])).
% 0.67/0.84 tff(506,plain,
% 0.67/0.84 (multiply(sk_c2, sk_c3) = sk_c7),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[505, 487])).
% 0.67/0.84 tff(507,plain,
% 0.67/0.84 (multiply(sk_c2, sk_c3) = inverse(sk_c8)),
% 0.67/0.84 inference(transitivity,[status(thm)],[506, 308])).
% 0.67/0.84 tff(508,plain,
% 0.67/0.84 (multiply(multiply(sk_c2, sk_c3), sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 0.67/0.84 inference(monotonicity,[status(thm)],[507])).
% 0.67/0.84 tff(509,plain,
% 0.67/0.84 (multiply(inverse(sk_c8), sk_c8) = multiply(multiply(sk_c2, sk_c3), sk_c8)),
% 0.67/0.84 inference(symmetry,[status(thm)],[508])).
% 0.67/0.84 tff(510,plain,
% 0.67/0.84 (((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(511,axiom,((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_14')).
% 0.67/0.84 tff(512,plain,
% 0.67/0.84 ((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[511, 510])).
% 0.67/0.84 tff(513,plain,
% 0.67/0.84 (multiply(sk_c1, sk_c7) = sk_c8),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[512, 487])).
% 0.67/0.84 tff(514,plain,
% 0.67/0.84 (sk_c8 = multiply(sk_c1, sk_c7)),
% 0.67/0.84 inference(symmetry,[status(thm)],[513])).
% 0.67/0.84 tff(515,plain,
% 0.67/0.84 (multiply(sk_c6, sk_c8) = multiply(sk_c6, multiply(sk_c1, sk_c7))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[514])).
% 0.67/0.84 tff(516,plain,
% 0.67/0.84 (multiply(sk_c6, multiply(sk_c1, sk_c7)) = multiply(sk_c6, sk_c8)),
% 0.67/0.84 inference(symmetry,[status(thm)],[515])).
% 0.67/0.84 tff(517,plain,
% 0.67/0.84 (multiply(sk_c8, multiply(sk_c6, multiply(sk_c1, sk_c7))) = multiply(sk_c8, multiply(sk_c6, sk_c8))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[516])).
% 0.67/0.84 tff(518,plain,
% 0.67/0.84 (multiply(sk_c8, multiply(sk_c6, multiply(sk_c1, sk_c7))) = multiply(sk_c2, sk_c7)),
% 0.67/0.84 inference(transitivity,[status(thm)],[517, 324, 321, 509, 60, 502])).
% 0.67/0.84 tff(519,plain,
% 0.67/0.84 (multiply(sk_c3, multiply(sk_c8, multiply(sk_c6, multiply(sk_c1, sk_c7)))) = multiply(sk_c3, multiply(sk_c2, sk_c7))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[518])).
% 0.67/0.84 tff(520,plain,
% 0.67/0.84 (multiply(sk_c7, multiply(sk_c6, sk_c8)) = multiply(multiply(sk_c3, sk_c8), multiply(sk_c6, multiply(sk_c1, sk_c7)))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[500, 515])).
% 0.67/0.84 tff(521,plain,
% 0.67/0.84 (multiply(sk_c7, sk_c6) = multiply(multiply(sk_c3, sk_c8), sk_c6)),
% 0.67/0.84 inference(monotonicity,[status(thm)],[500])).
% 0.67/0.84 tff(522,plain,
% 0.67/0.84 (multiply(multiply(sk_c3, sk_c8), sk_c6) = multiply(sk_c7, sk_c6)),
% 0.67/0.84 inference(symmetry,[status(thm)],[521])).
% 0.67/0.84 tff(523,plain,
% 0.67/0.84 (multiply(sk_c8, sk_c8) = multiply(sk_c8, multiply(sk_c1, sk_c7))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[514])).
% 0.67/0.84 tff(524,plain,
% 0.67/0.84 (multiply(sk_c8, multiply(sk_c1, sk_c7)) = multiply(sk_c8, sk_c8)),
% 0.67/0.84 inference(symmetry,[status(thm)],[523])).
% 0.67/0.84 tff(525,plain,
% 0.67/0.84 (multiply(identity, sk_c7) = multiply(multiply(sk_c8, sk_c1), sk_c7)),
% 0.67/0.84 inference(symmetry,[status(thm)],[485])).
% 0.67/0.84 tff(526,plain,
% 0.67/0.84 (multiply(sk_c8, sk_c6) = multiply(sk_c8, sk_c8)),
% 0.67/0.84 inference(transitivity,[status(thm)],[218, 116, 525, 350, 524])).
% 0.67/0.84 tff(527,plain,
% 0.67/0.84 (multiply(sk_c3, multiply(sk_c8, sk_c6)) = multiply(sk_c3, multiply(sk_c8, sk_c8))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[526])).
% 0.67/0.84 tff(528,plain,
% 0.67/0.84 (multiply(sk_c3, multiply(sk_c8, sk_c8)) = multiply(sk_c3, multiply(sk_c8, sk_c6))),
% 0.67/0.84 inference(symmetry,[status(thm)],[527])).
% 0.67/0.84 tff(529,plain,
% 0.67/0.84 (multiply(sk_c3, sk_c8) = inverse(sk_c8)),
% 0.67/0.84 inference(transitivity,[status(thm)],[499, 308])).
% 0.67/0.84 tff(530,plain,
% 0.67/0.84 (multiply(multiply(sk_c3, sk_c8), sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 0.67/0.84 inference(monotonicity,[status(thm)],[529])).
% 0.67/0.84 tff(531,plain,
% 0.67/0.84 (multiply(inverse(sk_c8), sk_c8) = multiply(multiply(sk_c3, sk_c8), sk_c8)),
% 0.67/0.84 inference(symmetry,[status(thm)],[530])).
% 0.67/0.84 tff(532,plain,
% 0.67/0.84 (multiply(sk_c8, sk_c1) = multiply(sk_c7, sk_c6)),
% 0.67/0.84 inference(transitivity,[status(thm)],[483, 18, 93, 531, 356, 528, 346, 522])).
% 0.67/0.84 tff(533,plain,
% 0.67/0.84 (multiply(multiply(sk_c8, sk_c1), sk_c8) = multiply(multiply(sk_c7, sk_c6), sk_c8)),
% 0.67/0.84 inference(monotonicity,[status(thm)],[532])).
% 0.67/0.84 tff(534,plain,
% 0.67/0.84 (multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7),
% 0.67/0.84 inference(transitivity,[status(thm)],[135, 533, 341, 520, 338, 519, 49, 495, 485, 9])).
% 0.67/0.84 tff(535,plain,
% 0.67/0.84 (multiply(sk_c2, inverse(sk_c2)) = multiply(sk_c2, sk_c3)),
% 0.67/0.84 inference(monotonicity,[status(thm)],[491])).
% 0.67/0.84 tff(536,plain,
% 0.67/0.84 (multiply(sk_c2, inverse(sk_c2)) = sk_c7),
% 0.67/0.84 inference(transitivity,[status(thm)],[535, 506])).
% 0.67/0.84 tff(537,plain,
% 0.67/0.84 (multiply(inverse(sk_c2), sk_c8) = multiply(sk_c3, sk_c8)),
% 0.67/0.84 inference(monotonicity,[status(thm)],[491])).
% 0.67/0.84 tff(538,plain,
% 0.67/0.84 (multiply(inverse(sk_c2), sk_c8) = sk_c7),
% 0.67/0.84 inference(transitivity,[status(thm)],[537, 499])).
% 0.67/0.84 tff(539,plain,
% 0.67/0.84 ((~(multiply(inverse(sk_c2), sk_c8) = sk_c7)) | (~(multiply(sk_c2, inverse(sk_c2)) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7))),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[166, 307, 481, 513, 160])).
% 0.67/0.84 tff(540,plain,
% 0.67/0.84 (~(multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[539, 538, 536])).
% 0.67/0.84 tff(541,plain,
% 0.67/0.84 ($false),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[540, 534])).
% 0.67/0.84 tff(542,plain,(multiply(sk_c5, sk_c8) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 0.67/0.84 tff(543,plain,
% 0.67/0.84 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(sk_c8, sk_c6)),
% 0.67/0.84 inference(monotonicity,[status(thm)],[542])).
% 0.67/0.84 tff(544,plain,
% 0.67/0.84 (multiply(multiply(sk_c8, sk_c5), sk_c8) = inverse(sk_c8)),
% 0.67/0.84 inference(transitivity,[status(thm)],[228, 543, 218, 308])).
% 0.67/0.84 tff(545,plain,
% 0.67/0.84 (multiply(multiply(multiply(sk_c8, sk_c5), sk_c8), sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 0.67/0.84 inference(monotonicity,[status(thm)],[544])).
% 0.67/0.84 tff(546,plain,
% 0.67/0.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, sk_c5), sk_c8), sk_c8) = multiply(multiply(sk_c8, sk_c5), multiply(sk_c8, sk_c8)))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(547,plain,
% 0.67/0.84 (multiply(multiply(multiply(sk_c8, sk_c5), sk_c8), sk_c8) = multiply(multiply(sk_c8, sk_c5), multiply(sk_c8, sk_c8))),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[546, 46])).
% 0.67/0.84 tff(548,plain,
% 0.67/0.84 (multiply(multiply(sk_c8, sk_c5), multiply(sk_c8, sk_c8)) = multiply(multiply(multiply(sk_c8, sk_c5), sk_c8), sk_c8)),
% 0.67/0.84 inference(symmetry,[status(thm)],[547])).
% 0.67/0.84 tff(549,plain,
% 0.67/0.84 (identity = multiply(sk_c8, sk_c5)),
% 0.67/0.84 inference(transitivity,[status(thm)],[255, 401])).
% 0.67/0.84 tff(550,plain,
% 0.67/0.84 (multiply(identity, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c8, sk_c5), multiply(sk_c8, sk_c8))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[549])).
% 0.67/0.84 tff(551,plain,
% 0.67/0.84 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c8, sk_c8)) = multiply(sk_c8, sk_c8))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(552,plain,
% 0.67/0.84 (multiply(identity, multiply(sk_c8, sk_c8)) = multiply(sk_c8, sk_c8)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[551, 7])).
% 0.67/0.84 tff(553,plain,
% 0.67/0.84 (multiply(sk_c8, sk_c8) = multiply(identity, multiply(sk_c8, sk_c8))),
% 0.67/0.84 inference(symmetry,[status(thm)],[552])).
% 0.67/0.84 tff(554,plain,
% 0.67/0.84 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 0.67/0.84 inference(monotonicity,[status(thm)],[549])).
% 0.67/0.84 tff(555,plain,
% 0.67/0.84 (sk_c8 = multiply(sk_c8, sk_c5)),
% 0.67/0.84 inference(transitivity,[status(thm)],[191, 554, 228, 543, 218, 116, 375, 378, 385, 553, 550, 548, 545, 92, 255, 401])).
% 0.67/0.84 tff(556,plain,
% 0.67/0.84 (multiply(sk_c4, sk_c8) = multiply(sk_c4, multiply(sk_c8, sk_c5))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[555])).
% 0.67/0.84 tff(557,plain,
% 0.67/0.84 (multiply(sk_c4, inverse(sk_c4)) = multiply(sk_c4, sk_c8)),
% 0.67/0.84 inference(monotonicity,[status(thm)],[370])).
% 0.67/0.84 tff(558,plain,
% 0.67/0.84 (multiply(sk_c4, inverse(sk_c4)) = sk_c7),
% 0.67/0.84 inference(transitivity,[status(thm)],[557, 556, 400, 390, 387, 386, 379, 376, 9])).
% 0.67/0.84 tff(559,plain,
% 0.67/0.84 (multiply(inverse(sk_c4), sk_c8) = multiply(sk_c8, sk_c8)),
% 0.67/0.84 inference(monotonicity,[status(thm)],[370])).
% 0.67/0.84 tff(560,plain,
% 0.67/0.84 (multiply(inverse(sk_c4), sk_c8) = sk_c7),
% 0.67/0.84 inference(transitivity,[status(thm)],[559, 386, 379, 376, 9])).
% 0.67/0.84 tff(561,plain,
% 0.67/0.84 (multiply(sk_c8, sk_c4) = multiply(sk_c8, sk_c5)),
% 0.67/0.84 inference(transitivity,[status(thm)],[372, 281, 255, 401])).
% 0.67/0.84 tff(562,plain,
% 0.67/0.84 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 0.67/0.84 inference(monotonicity,[status(thm)],[561])).
% 0.67/0.84 tff(563,plain,
% 0.67/0.84 (multiply(sk_c8, multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c8, sk_c4), sk_c8)),
% 0.67/0.84 inference(symmetry,[status(thm)],[279])).
% 0.67/0.84 tff(564,plain,
% 0.67/0.84 (multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7),
% 0.67/0.84 inference(transitivity,[status(thm)],[563, 562, 228, 543, 218])).
% 0.67/0.84 tff(565,plain,
% 0.67/0.84 (((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(inverse(sk_c4), sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(inverse(sk_c4), sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7)))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(566,plain,
% 0.67/0.84 (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c8) = sk_c7)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(inverse(sk_c4), sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7)))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(567,plain,
% 0.67/0.84 (((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c8) = sk_c7)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(inverse(sk_c4), sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7))))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[566])).
% 0.67/0.84 tff(568,plain,
% 0.67/0.84 (((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c8) = sk_c7)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(inverse(sk_c4), sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7)))),
% 0.67/0.84 inference(transitivity,[status(thm)],[567, 565])).
% 0.67/0.84 tff(569,plain,
% 0.67/0.84 ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c8) = sk_c7)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(570,plain,
% 0.67/0.84 ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(inverse(sk_c4), sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[569, 568])).
% 0.67/0.84 tff(571,plain,
% 0.67/0.84 ((~(multiply(inverse(sk_c4), sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7))),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[570, 307, 370, 160])).
% 0.67/0.84 tff(572,plain,
% 0.67/0.84 ($false),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[571, 564, 560, 384, 558])).
% 0.67/0.84 tff(573,plain,(inverse(sk_c2) = sk_c3), inference(lemma,lemma(discharge,[]))).
% 0.67/0.84 tff(574,plain,
% 0.67/0.84 (multiply(sk_c2, inverse(sk_c2)) = multiply(sk_c2, sk_c3)),
% 0.67/0.84 inference(monotonicity,[status(thm)],[573])).
% 0.67/0.84 tff(575,plain,
% 0.67/0.84 ((multiply(sk_c2, inverse(sk_c2)) = sk_c7) <=> (multiply(sk_c2, sk_c3) = sk_c7)),
% 0.67/0.85 inference(monotonicity,[status(thm)],[574])).
% 0.67/0.85 tff(576,plain,
% 0.67/0.85 ((multiply(sk_c2, sk_c3) = sk_c7) <=> (multiply(sk_c2, inverse(sk_c2)) = sk_c7)),
% 0.67/0.85 inference(symmetry,[status(thm)],[575])).
% 0.67/0.85 tff(577,plain,
% 0.67/0.85 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c1) = sk_c1)),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(578,plain,
% 0.67/0.85 (multiply(identity, sk_c1) = sk_c1),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[577, 7])).
% 0.67/0.85 tff(579,plain,
% 0.67/0.85 (sk_c3 = inverse(sk_c2)),
% 0.67/0.85 inference(symmetry,[status(thm)],[573])).
% 0.67/0.85 tff(580,plain,
% 0.67/0.85 (multiply(sk_c3, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 0.67/0.85 inference(monotonicity,[status(thm)],[579])).
% 0.67/0.85 tff(581,plain,
% 0.67/0.85 (multiply(sk_c3, sk_c2) = multiply(sk_c8, sk_c1)),
% 0.67/0.85 inference(transitivity,[status(thm)],[580, 31, 29, 486])).
% 0.67/0.85 tff(582,plain,
% 0.67/0.85 (multiply(multiply(sk_c3, sk_c2), sk_c7) = multiply(multiply(sk_c8, sk_c1), sk_c7)),
% 0.67/0.85 inference(monotonicity,[status(thm)],[581])).
% 0.67/0.85 tff(583,assumption,(~(multiply(sk_c4, sk_c7) = sk_c8)), introduced(assumption)).
% 0.67/0.85 tff(584,plain,
% 0.67/0.85 (((multiply(sk_c3, sk_c8) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((multiply(sk_c3, sk_c8) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(585,axiom,((multiply(sk_c3, sk_c8) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_27')).
% 0.67/0.85 tff(586,plain,
% 0.67/0.85 ((multiply(sk_c3, sk_c8) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[585, 584])).
% 0.67/0.85 tff(587,plain,
% 0.67/0.85 (multiply(sk_c3, sk_c8) = sk_c7),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[586, 583])).
% 0.67/0.85 tff(588,plain,
% 0.67/0.85 (sk_c7 = multiply(sk_c3, sk_c8)),
% 0.67/0.85 inference(symmetry,[status(thm)],[587])).
% 0.67/0.85 tff(589,plain,
% 0.67/0.85 (multiply(sk_c2, sk_c7) = multiply(sk_c2, multiply(sk_c3, sk_c8))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[588])).
% 0.67/0.85 tff(590,plain,
% 0.67/0.85 (multiply(sk_c2, multiply(sk_c3, sk_c8)) = multiply(sk_c2, sk_c7)),
% 0.67/0.85 inference(symmetry,[status(thm)],[589])).
% 0.67/0.85 tff(591,plain,
% 0.67/0.85 (((multiply(sk_c2, sk_c3) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((multiply(sk_c2, sk_c3) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(592,axiom,((multiply(sk_c2, sk_c3) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_17')).
% 0.67/0.85 tff(593,plain,
% 0.67/0.85 ((multiply(sk_c2, sk_c3) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[592, 591])).
% 0.67/0.85 tff(594,plain,
% 0.67/0.85 (multiply(sk_c2, sk_c3) = sk_c7),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[593, 583])).
% 0.67/0.85 tff(595,plain,
% 0.67/0.85 (multiply(sk_c2, sk_c3) = inverse(sk_c8)),
% 0.67/0.85 inference(transitivity,[status(thm)],[594, 308])).
% 0.67/0.85 tff(596,plain,
% 0.67/0.85 (multiply(multiply(sk_c2, sk_c3), sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 0.67/0.85 inference(monotonicity,[status(thm)],[595])).
% 0.67/0.85 tff(597,plain,
% 0.67/0.85 (multiply(inverse(sk_c8), sk_c8) = multiply(multiply(sk_c2, sk_c3), sk_c8)),
% 0.67/0.85 inference(symmetry,[status(thm)],[596])).
% 0.67/0.85 tff(598,plain,
% 0.67/0.85 (multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c2, sk_c7)),
% 0.67/0.85 inference(transitivity,[status(thm)],[466, 548, 545, 597, 60, 590])).
% 0.67/0.85 tff(599,plain,
% 0.67/0.85 (multiply(sk_c3, multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))) = multiply(sk_c3, multiply(sk_c2, sk_c7))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[598])).
% 0.67/0.85 tff(600,plain,
% 0.67/0.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c3, multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(601,plain,
% 0.67/0.85 (multiply(multiply(sk_c3, sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c3, multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[600, 46])).
% 0.67/0.85 tff(602,plain,
% 0.67/0.85 (multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c3, sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[588])).
% 0.67/0.85 tff(603,plain,
% 0.67/0.85 (sk_c6 = multiply(sk_c5, sk_c8)),
% 0.67/0.85 inference(symmetry,[status(thm)],[542])).
% 0.67/0.85 tff(604,plain,
% 0.67/0.85 (multiply(sk_c6, sk_c8) = multiply(multiply(sk_c5, sk_c8), sk_c8)),
% 0.67/0.85 inference(monotonicity,[status(thm)],[603])).
% 0.67/0.85 tff(605,plain,
% 0.67/0.85 (multiply(sk_c6, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8))),
% 0.67/0.85 inference(transitivity,[status(thm)],[604, 437])).
% 0.67/0.85 tff(606,plain,
% 0.67/0.85 (multiply(sk_c7, multiply(sk_c6, sk_c8)) = multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[605])).
% 0.67/0.85 tff(607,plain,
% 0.67/0.85 (multiply(sk_c7, sk_c6) = multiply(multiply(sk_c3, sk_c8), sk_c6)),
% 0.67/0.85 inference(monotonicity,[status(thm)],[588])).
% 0.67/0.85 tff(608,plain,
% 0.67/0.85 (multiply(multiply(sk_c3, sk_c8), sk_c6) = multiply(sk_c7, sk_c6)),
% 0.67/0.85 inference(symmetry,[status(thm)],[607])).
% 0.67/0.85 tff(609,plain,
% 0.67/0.85 (multiply(sk_c8, sk_c6) = multiply(identity, sk_c7)),
% 0.67/0.85 inference(transitivity,[status(thm)],[218, 116])).
% 0.67/0.85 tff(610,plain,
% 0.67/0.85 (multiply(sk_c3, multiply(sk_c8, sk_c6)) = multiply(sk_c3, multiply(identity, sk_c7))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[609])).
% 0.67/0.85 tff(611,plain,
% 0.67/0.85 (multiply(sk_c3, multiply(identity, sk_c7)) = multiply(sk_c3, multiply(sk_c8, sk_c6))),
% 0.67/0.85 inference(symmetry,[status(thm)],[610])).
% 0.67/0.85 tff(612,plain,
% 0.67/0.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, identity), sk_c7) = multiply(sk_c3, multiply(identity, sk_c7)))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(613,plain,
% 0.67/0.85 (multiply(multiply(sk_c3, identity), sk_c7) = multiply(sk_c3, multiply(identity, sk_c7))),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[612, 46])).
% 0.67/0.85 tff(614,plain,
% 0.67/0.85 (multiply(multiply(sk_c3, sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.67/0.85 inference(symmetry,[status(thm)],[602])).
% 0.67/0.85 tff(615,plain,
% 0.67/0.85 (multiply(sk_c3, multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))) = multiply(multiply(sk_c3, sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.67/0.85 inference(symmetry,[status(thm)],[601])).
% 0.67/0.85 tff(616,plain,
% 0.67/0.85 (multiply(inverse(sk_c8), sk_c8) = multiply(multiply(multiply(sk_c8, sk_c5), sk_c8), sk_c8)),
% 0.67/0.85 inference(symmetry,[status(thm)],[545])).
% 0.67/0.85 tff(617,plain,
% 0.67/0.85 (identity = multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.67/0.85 inference(transitivity,[status(thm)],[93, 616, 547, 442])).
% 0.67/0.85 tff(618,plain,
% 0.67/0.85 (multiply(sk_c3, identity) = multiply(sk_c3, multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[617])).
% 0.67/0.85 tff(619,plain,
% 0.67/0.85 (multiply(sk_c3, identity) = multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.67/0.85 inference(transitivity,[status(thm)],[618, 615, 614])).
% 0.67/0.85 tff(620,plain,
% 0.67/0.85 (multiply(multiply(sk_c3, identity), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), sk_c7)),
% 0.67/0.85 inference(monotonicity,[status(thm)],[619])).
% 0.67/0.85 tff(621,plain,
% 0.67/0.85 (multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), sk_c7) = multiply(multiply(sk_c3, identity), sk_c7)),
% 0.67/0.85 inference(symmetry,[status(thm)],[620])).
% 0.67/0.85 tff(622,plain,
% 0.67/0.85 (multiply(sk_c7, sk_c1) = multiply(multiply(sk_c3, sk_c8), sk_c1)),
% 0.67/0.85 inference(monotonicity,[status(thm)],[588])).
% 0.67/0.85 tff(623,plain,
% 0.67/0.85 (multiply(multiply(sk_c3, sk_c8), sk_c1) = multiply(sk_c7, sk_c1)),
% 0.67/0.85 inference(symmetry,[status(thm)],[622])).
% 0.67/0.85 tff(624,plain,
% 0.67/0.85 (multiply(sk_c8, sk_c1) = multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.67/0.85 inference(transitivity,[status(thm)],[483, 18, 93, 616, 547, 442])).
% 0.67/0.85 tff(625,plain,
% 0.67/0.85 (multiply(sk_c3, multiply(sk_c8, sk_c1)) = multiply(sk_c3, multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[624])).
% 0.67/0.85 tff(626,plain,
% 0.67/0.85 (multiply(sk_c3, multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))) = multiply(sk_c3, multiply(sk_c8, sk_c1))),
% 0.67/0.85 inference(symmetry,[status(thm)],[625])).
% 0.67/0.85 tff(627,plain,
% 0.67/0.85 (multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c7, sk_c1)),
% 0.67/0.85 inference(transitivity,[status(thm)],[602, 601, 626, 81, 623])).
% 0.67/0.85 tff(628,plain,
% 0.67/0.85 (multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 0.67/0.85 inference(monotonicity,[status(thm)],[627])).
% 0.67/0.85 tff(629,plain,
% 0.67/0.85 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), sk_c7)),
% 0.67/0.85 inference(symmetry,[status(thm)],[628])).
% 0.67/0.85 tff(630,plain,
% 0.67/0.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(sk_c7, multiply(sk_c1, sk_c7)))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(631,plain,
% 0.67/0.85 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[630, 46])).
% 0.67/0.85 tff(632,plain,
% 0.67/0.85 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 0.67/0.85 inference(symmetry,[status(thm)],[631])).
% 0.67/0.85 tff(633,plain,
% 0.67/0.85 (((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(634,axiom,((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_12')).
% 0.67/0.85 tff(635,plain,
% 0.67/0.85 ((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[634, 633])).
% 0.67/0.85 tff(636,plain,
% 0.67/0.85 (multiply(sk_c1, sk_c7) = sk_c8),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[635, 583])).
% 0.67/0.85 tff(637,plain,
% 0.67/0.85 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(inverse(sk_c8), sk_c8)),
% 0.67/0.85 inference(monotonicity,[status(thm)],[308, 636])).
% 0.67/0.85 tff(638,plain,
% 0.67/0.85 (multiply(inverse(sk_c8), sk_c8) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 0.67/0.85 inference(symmetry,[status(thm)],[637])).
% 0.67/0.85 tff(639,plain,
% 0.67/0.85 (identity = multiply(sk_c7, sk_c6)),
% 0.67/0.85 inference(transitivity,[status(thm)],[93, 638, 632, 629, 621, 613, 611, 346, 608])).
% 0.67/0.85 tff(640,plain,
% 0.67/0.85 (multiply(identity, sk_c8) = multiply(multiply(sk_c7, sk_c6), sk_c8)),
% 0.67/0.85 inference(monotonicity,[status(thm)],[639])).
% 0.67/0.85 tff(641,plain,
% 0.67/0.85 (multiply(multiply(sk_c8, sk_c1), sk_c8) = multiply(identity, sk_c8)),
% 0.67/0.85 inference(monotonicity,[status(thm)],[484])).
% 0.67/0.85 tff(642,plain,
% 0.67/0.85 (multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7),
% 0.67/0.85 inference(transitivity,[status(thm)],[135, 641, 640, 341, 606, 602, 601, 599, 49, 582, 485, 9])).
% 0.67/0.85 tff(643,plain,
% 0.67/0.85 (multiply(sk_c2, inverse(sk_c2)) = sk_c7),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[594, 576])).
% 0.67/0.85 tff(644,plain,
% 0.67/0.85 (multiply(inverse(sk_c2), sk_c8) = multiply(sk_c3, sk_c8)),
% 0.67/0.85 inference(monotonicity,[status(thm)],[573])).
% 0.67/0.85 tff(645,plain,
% 0.67/0.85 ((multiply(inverse(sk_c2), sk_c8) = sk_c7) <=> (multiply(sk_c3, sk_c8) = sk_c7)),
% 0.67/0.85 inference(monotonicity,[status(thm)],[644])).
% 0.67/0.85 tff(646,plain,
% 0.67/0.85 ((multiply(sk_c3, sk_c8) = sk_c7) <=> (multiply(inverse(sk_c2), sk_c8) = sk_c7)),
% 0.67/0.85 inference(symmetry,[status(thm)],[645])).
% 0.67/0.85 tff(647,plain,
% 0.67/0.85 (multiply(inverse(sk_c2), sk_c8) = sk_c7),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[587, 646])).
% 0.67/0.85 tff(648,plain,
% 0.67/0.85 ((~(multiply(inverse(sk_c2), sk_c8) = sk_c7)) | (~(multiply(sk_c2, inverse(sk_c2)) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7))),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[166, 307, 481, 160])).
% 0.67/0.85 tff(649,plain,
% 0.67/0.85 (~(multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[648, 647, 636, 643])).
% 0.67/0.85 tff(650,plain,
% 0.67/0.85 ($false),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[649, 642])).
% 0.67/0.85 tff(651,plain,(multiply(sk_c4, sk_c7) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 0.67/0.85 tff(652,plain,
% 0.67/0.85 (sk_c8 = multiply(sk_c4, sk_c7)),
% 0.67/0.85 inference(symmetry,[status(thm)],[651])).
% 0.67/0.85 tff(653,plain,
% 0.67/0.85 (multiply(sk_c8, sk_c5) = multiply(multiply(sk_c4, sk_c7), sk_c5)),
% 0.67/0.85 inference(monotonicity,[status(thm)],[652])).
% 0.67/0.85 tff(654,plain,
% 0.67/0.85 (multiply(multiply(sk_c4, sk_c7), sk_c5) = multiply(sk_c8, sk_c5)),
% 0.67/0.85 inference(symmetry,[status(thm)],[653])).
% 0.67/0.85 tff(655,plain,
% 0.67/0.85 ((~![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)))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(656,plain,
% 0.67/0.85 (multiply(multiply(sk_c4, sk_c7), sk_c5) = multiply(sk_c4, multiply(sk_c7, sk_c5))),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[655, 46])).
% 0.67/0.85 tff(657,plain,
% 0.67/0.85 (multiply(sk_c4, multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c4, sk_c7), sk_c5)),
% 0.67/0.85 inference(symmetry,[status(thm)],[656])).
% 0.67/0.85 tff(658,plain,
% 0.67/0.85 (multiply(sk_c4, multiply(sk_c7, sk_c5)) = multiply(sk_c8, sk_c5)),
% 0.67/0.85 inference(transitivity,[status(thm)],[657, 654])).
% 0.67/0.85 tff(659,plain,
% 0.67/0.85 (multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 0.67/0.85 inference(monotonicity,[status(thm)],[658])).
% 0.67/0.85 tff(660,plain,
% 0.67/0.85 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), sk_c8)),
% 0.67/0.85 inference(symmetry,[status(thm)],[659])).
% 0.67/0.85 tff(661,plain,
% 0.67/0.85 (multiply(sk_c8, sk_c6) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 0.67/0.85 inference(symmetry,[status(thm)],[543])).
% 0.67/0.85 tff(662,plain,
% 0.67/0.85 (sk_c7 = multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), sk_c8)),
% 0.67/0.85 inference(transitivity,[status(thm)],[429, 661, 428, 660])).
% 0.67/0.85 tff(663,plain,
% 0.67/0.85 (multiply(sk_c7, sk_c6) = multiply(multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), sk_c8), sk_c6)),
% 0.67/0.85 inference(monotonicity,[status(thm)],[662])).
% 0.67/0.85 tff(664,plain,
% 0.67/0.85 (multiply(multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), sk_c8), sk_c6) = multiply(sk_c7, sk_c6)),
% 0.67/0.85 inference(symmetry,[status(thm)],[663])).
% 0.67/0.85 tff(665,plain,
% 0.67/0.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), sk_c8), sk_c6) = multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), multiply(sk_c8, sk_c6)))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(666,plain,
% 0.67/0.85 (multiply(multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), sk_c8), sk_c6) = multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), multiply(sk_c8, sk_c6))),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[665, 46])).
% 0.67/0.85 tff(667,plain,
% 0.67/0.85 (multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), multiply(sk_c8, sk_c6)) = multiply(multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), sk_c8), sk_c6)),
% 0.67/0.85 inference(symmetry,[status(thm)],[666])).
% 0.67/0.85 tff(668,plain,
% 0.67/0.85 (multiply(sk_c8, sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c7))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[652])).
% 0.67/0.85 tff(669,plain,
% 0.67/0.85 (multiply(sk_c8, multiply(sk_c4, sk_c7)) = multiply(sk_c8, sk_c8)),
% 0.67/0.85 inference(symmetry,[status(thm)],[668])).
% 0.67/0.85 tff(670,plain,
% 0.67/0.85 (multiply(sk_c8, sk_c6) = multiply(sk_c8, sk_c8)),
% 0.67/0.85 inference(transitivity,[status(thm)],[218, 116, 375, 378, 669])).
% 0.67/0.85 tff(671,plain,
% 0.67/0.85 (multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), multiply(sk_c8, sk_c6)) = multiply(multiply(sk_c8, sk_c5), multiply(sk_c8, sk_c8))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[658, 670])).
% 0.67/0.85 tff(672,plain,
% 0.67/0.85 (multiply(multiply(sk_c8, sk_c5), multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), multiply(sk_c8, sk_c6))),
% 0.67/0.85 inference(symmetry,[status(thm)],[671])).
% 0.67/0.85 tff(673,plain,
% 0.67/0.85 (identity = multiply(sk_c7, sk_c6)),
% 0.67/0.85 inference(transitivity,[status(thm)],[93, 616, 547, 672, 667, 664])).
% 0.67/0.85 tff(674,plain,
% 0.67/0.85 (multiply(identity, sk_c1) = multiply(multiply(sk_c7, sk_c6), sk_c1)),
% 0.67/0.85 inference(monotonicity,[status(thm)],[673])).
% 0.67/0.85 tff(675,plain,
% 0.67/0.85 (multiply(multiply(sk_c7, sk_c6), sk_c1) = multiply(identity, sk_c1)),
% 0.67/0.85 inference(symmetry,[status(thm)],[674])).
% 0.67/0.85 tff(676,plain,
% 0.67/0.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), sk_c8) = multiply(multiply(sk_c7, sk_c4), multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), sk_c8)))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(677,plain,
% 0.67/0.85 (multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), sk_c8) = multiply(multiply(sk_c7, sk_c4), multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), sk_c8))),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[676, 46])).
% 0.67/0.85 tff(678,plain,
% 0.67/0.85 (multiply(multiply(sk_c7, sk_c4), multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), sk_c8)) = multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), sk_c8)),
% 0.67/0.85 inference(symmetry,[status(thm)],[677])).
% 0.67/0.85 tff(679,plain,
% 0.67/0.85 (multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), sk_c8) = sk_c7),
% 0.67/0.85 inference(transitivity,[status(thm)],[659, 228, 543, 218])).
% 0.67/0.85 tff(680,plain,
% 0.67/0.85 (multiply(multiply(sk_c7, sk_c4), multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), sk_c8)) = multiply(multiply(sk_c7, sk_c4), sk_c7)),
% 0.67/0.85 inference(monotonicity,[status(thm)],[679])).
% 0.67/0.85 tff(681,plain,
% 0.67/0.85 (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(multiply(sk_c7, sk_c4), multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), sk_c8))),
% 0.67/0.85 inference(symmetry,[status(thm)],[680])).
% 0.67/0.85 tff(682,plain,
% 0.67/0.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(sk_c7, multiply(sk_c4, sk_c7)))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(683,plain,
% 0.67/0.85 (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(sk_c7, multiply(sk_c4, sk_c7))),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[682, 46])).
% 0.67/0.85 tff(684,plain,
% 0.67/0.85 (multiply(sk_c7, multiply(sk_c4, sk_c7)) = multiply(multiply(sk_c7, sk_c4), sk_c7)),
% 0.67/0.85 inference(symmetry,[status(thm)],[683])).
% 0.67/0.85 tff(685,plain,
% 0.67/0.85 (multiply(sk_c7, multiply(sk_c4, sk_c7)) = multiply(inverse(sk_c8), sk_c8)),
% 0.67/0.85 inference(monotonicity,[status(thm)],[308, 651])).
% 0.67/0.85 tff(686,plain,
% 0.67/0.85 (multiply(inverse(sk_c8), sk_c8) = multiply(sk_c7, multiply(sk_c4, sk_c7))),
% 0.67/0.85 inference(symmetry,[status(thm)],[685])).
% 0.67/0.85 tff(687,plain,
% 0.67/0.85 (multiply(sk_c7, sk_c6) = multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), sk_c8)),
% 0.67/0.85 inference(transitivity,[status(thm)],[663, 666, 671, 548, 545, 686, 684, 681, 678])).
% 0.67/0.85 tff(688,plain,
% 0.67/0.85 (multiply(multiply(sk_c7, sk_c6), sk_c1) = multiply(multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), sk_c8), sk_c1)),
% 0.67/0.85 inference(monotonicity,[status(thm)],[687])).
% 0.67/0.85 tff(689,plain,
% 0.67/0.85 (multiply(multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), sk_c8), sk_c1) = multiply(multiply(sk_c7, sk_c6), sk_c1)),
% 0.67/0.85 inference(symmetry,[status(thm)],[688])).
% 0.67/0.85 tff(690,plain,
% 0.67/0.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), sk_c8), sk_c1) = multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), multiply(sk_c8, sk_c1)))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(691,plain,
% 0.67/0.85 (multiply(multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), sk_c8), sk_c1) = multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), multiply(sk_c8, sk_c1))),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[690, 46])).
% 0.67/0.85 tff(692,plain,
% 0.67/0.85 (multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), multiply(sk_c8, sk_c1)) = multiply(multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), sk_c8), sk_c1)),
% 0.67/0.85 inference(symmetry,[status(thm)],[691])).
% 0.67/0.85 tff(693,plain,
% 0.67/0.85 (multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), multiply(sk_c8, sk_c1)) = multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[624])).
% 0.67/0.85 tff(694,plain,
% 0.67/0.85 (multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))) = multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), multiply(sk_c8, sk_c1))),
% 0.67/0.85 inference(symmetry,[status(thm)],[693])).
% 0.67/0.85 tff(695,plain,
% 0.67/0.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(696,plain,
% 0.67/0.85 (multiply(multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[695, 46])).
% 0.67/0.85 tff(697,plain,
% 0.67/0.85 (multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), sk_c8) = multiply(sk_c7, sk_c6)),
% 0.67/0.85 inference(transitivity,[status(thm)],[677, 680, 683, 685, 616, 547, 672, 667, 664])).
% 0.67/0.85 tff(698,plain,
% 0.67/0.85 (multiply(multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c7, sk_c6), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[697])).
% 0.67/0.85 tff(699,plain,
% 0.67/0.85 (multiply(multiply(sk_c7, sk_c6), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.67/0.85 inference(symmetry,[status(thm)],[698])).
% 0.67/0.85 tff(700,plain,
% 0.67/0.85 (sk_c7 = multiply(sk_c8, sk_c8)),
% 0.67/0.85 inference(transitivity,[status(thm)],[116, 375, 378, 669])).
% 0.67/0.85 tff(701,plain,
% 0.67/0.85 (multiply(sk_c8, sk_c7) = multiply(sk_c8, multiply(sk_c8, sk_c8))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[700])).
% 0.67/0.85 tff(702,plain,
% 0.67/0.85 (multiply(sk_c8, multiply(sk_c8, sk_c8)) = multiply(sk_c8, sk_c7)),
% 0.67/0.85 inference(symmetry,[status(thm)],[701])).
% 0.67/0.85 tff(703,plain,
% 0.67/0.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c8), sk_c8) = multiply(sk_c8, multiply(sk_c8, sk_c8)))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(704,plain,
% 0.67/0.85 (multiply(multiply(sk_c8, sk_c8), sk_c8) = multiply(sk_c8, multiply(sk_c8, sk_c8))),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[703, 46])).
% 0.67/0.85 tff(705,plain,
% 0.67/0.85 (multiply(sk_c8, sk_c8) = inverse(sk_c8)),
% 0.67/0.85 inference(transitivity,[status(thm)],[668, 379, 376, 9, 308])).
% 0.67/0.85 tff(706,plain,
% 0.67/0.85 (multiply(multiply(sk_c8, sk_c8), sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 0.67/0.85 inference(monotonicity,[status(thm)],[705])).
% 0.67/0.85 tff(707,plain,
% 0.67/0.85 (multiply(inverse(sk_c8), sk_c8) = multiply(multiply(sk_c8, sk_c8), sk_c8)),
% 0.67/0.85 inference(symmetry,[status(thm)],[706])).
% 0.67/0.85 tff(708,plain,
% 0.67/0.85 (multiply(sk_c7, sk_c6) = multiply(sk_c8, sk_c7)),
% 0.67/0.85 inference(transitivity,[status(thm)],[663, 666, 671, 548, 545, 707, 704, 702])).
% 0.67/0.85 tff(709,plain,
% 0.67/0.85 (multiply(multiply(sk_c7, sk_c6), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c8, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[708])).
% 0.67/0.85 tff(710,plain,
% 0.67/0.85 (multiply(multiply(sk_c8, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c7, sk_c6), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.67/0.85 inference(symmetry,[status(thm)],[709])).
% 0.67/0.85 tff(711,plain,
% 0.67/0.85 (multiply(sk_c8, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c8, sk_c8), sk_c8)),
% 0.67/0.85 inference(symmetry,[status(thm)],[704])).
% 0.67/0.85 tff(712,plain,
% 0.67/0.85 (multiply(sk_c8, sk_c7) = multiply(multiply(sk_c8, sk_c8), sk_c8)),
% 0.67/0.85 inference(transitivity,[status(thm)],[701, 711])).
% 0.67/0.85 tff(713,plain,
% 0.67/0.85 (multiply(multiply(sk_c8, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(multiply(sk_c8, sk_c8), sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[712])).
% 0.67/0.85 tff(714,plain,
% 0.67/0.85 (multiply(multiply(multiply(sk_c8, sk_c8), sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c8, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.67/0.85 inference(symmetry,[status(thm)],[713])).
% 0.67/0.85 tff(715,plain,
% 0.67/0.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, sk_c8), sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(716,plain,
% 0.67/0.85 (multiply(multiply(multiply(sk_c8, sk_c8), sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[715, 46])).
% 0.67/0.85 tff(717,plain,
% 0.67/0.85 (multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))) = multiply(multiply(multiply(sk_c8, sk_c8), sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.67/0.85 inference(symmetry,[status(thm)],[716])).
% 0.67/0.85 tff(718,plain,
% 0.67/0.85 (multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c8, sk_c7)),
% 0.67/0.85 inference(transitivity,[status(thm)],[466, 548, 545, 707, 704, 702])).
% 0.67/0.85 tff(719,plain,
% 0.67/0.85 (multiply(sk_c8, sk_c8) = sk_c7),
% 0.67/0.85 inference(transitivity,[status(thm)],[668, 379, 376, 9])).
% 0.67/0.85 tff(720,plain,
% 0.67/0.85 (multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))) = multiply(sk_c7, multiply(sk_c8, sk_c7))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[719, 718])).
% 0.67/0.85 tff(721,plain,
% 0.67/0.85 (multiply(sk_c7, multiply(sk_c8, sk_c7)) = multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 0.67/0.85 inference(symmetry,[status(thm)],[720])).
% 0.67/0.85 tff(722,plain,
% 0.67/0.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c8), sk_c7) = multiply(sk_c7, multiply(sk_c8, sk_c7)))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(723,plain,
% 0.67/0.85 (multiply(multiply(sk_c7, sk_c8), sk_c7) = multiply(sk_c7, multiply(sk_c8, sk_c7))),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[722, 46])).
% 0.67/0.85 tff(724,plain,
% 0.67/0.85 (multiply(sk_c7, sk_c8) = multiply(sk_c8, sk_c4)),
% 0.67/0.85 inference(transitivity,[status(thm)],[391, 92, 295, 373])).
% 0.67/0.85 tff(725,plain,
% 0.67/0.85 (multiply(multiply(sk_c7, sk_c8), sk_c7) = multiply(multiply(sk_c8, sk_c4), sk_c7)),
% 0.67/0.85 inference(monotonicity,[status(thm)],[724])).
% 0.67/0.85 tff(726,plain,
% 0.67/0.85 (multiply(multiply(sk_c8, sk_c4), sk_c7) = multiply(multiply(sk_c7, sk_c8), sk_c7)),
% 0.67/0.85 inference(symmetry,[status(thm)],[725])).
% 0.67/0.85 tff(727,plain,
% 0.67/0.85 (multiply(sk_c8, sk_c8) = sk_c1),
% 0.67/0.85 inference(transitivity,[status(thm)],[668, 379, 726, 723, 721, 717, 714, 710, 699, 696, 694, 692, 689, 675, 578])).
% 0.67/0.85 tff(728,plain,
% 0.67/0.85 (inverse(multiply(sk_c8, sk_c8)) = inverse(sk_c1)),
% 0.67/0.85 inference(monotonicity,[status(thm)],[727])).
% 0.67/0.85 tff(729,plain,
% 0.67/0.85 (inverse(multiply(sk_c8, sk_c8)) = sk_c8),
% 0.67/0.85 inference(transitivity,[status(thm)],[728, 481])).
% 0.67/0.85 tff(730,plain,
% 0.67/0.85 (multiply(identity, sk_c8) = multiply(multiply(sk_c7, sk_c6), sk_c8)),
% 0.67/0.85 inference(monotonicity,[status(thm)],[673])).
% 0.67/0.85 tff(731,plain,
% 0.67/0.85 (multiply(multiply(sk_c7, sk_c6), sk_c8) = multiply(identity, sk_c8)),
% 0.67/0.85 inference(symmetry,[status(thm)],[730])).
% 0.67/0.85 tff(732,plain,
% 0.67/0.85 (multiply(sk_c7, multiply(sk_c6, sk_c8)) = multiply(multiply(sk_c7, sk_c6), sk_c8)),
% 0.67/0.85 inference(symmetry,[status(thm)],[341])).
% 0.67/0.85 tff(733,plain,
% 0.67/0.85 (multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c7, multiply(sk_c6, sk_c8))),
% 0.67/0.85 inference(symmetry,[status(thm)],[606])).
% 0.67/0.85 tff(734,plain,
% 0.67/0.85 (multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c8),
% 0.67/0.85 inference(transitivity,[status(thm)],[733, 732, 731, 131])).
% 0.67/0.85 tff(735,plain,
% 0.67/0.85 (multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))) = multiply(sk_c8, sk_c8)),
% 0.67/0.85 inference(monotonicity,[status(thm)],[734, 734])).
% 0.67/0.85 tff(736,plain,
% 0.67/0.85 (sk_c8 = multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.67/0.85 inference(transitivity,[status(thm)],[191, 730, 341, 606])).
% 0.67/0.86 tff(737,assumption,(inverse(sk_c5) = sk_c8), introduced(assumption)).
% 0.67/0.86 tff(738,plain,
% 0.67/0.86 (inverse(sk_c5) = multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.67/0.86 inference(transitivity,[status(thm)],[737, 191, 730, 341, 606])).
% 0.67/0.86 tff(739,plain,
% 0.67/0.86 (multiply(inverse(sk_c5), sk_c8) = multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 0.67/0.86 inference(monotonicity,[status(thm)],[738, 736])).
% 0.67/0.86 tff(740,plain,
% 0.67/0.86 (multiply(inverse(sk_c5), sk_c8) = sk_c7),
% 0.67/0.86 inference(transitivity,[status(thm)],[739, 735, 668, 379, 376, 9])).
% 0.67/0.86 tff(741,plain,
% 0.67/0.86 (multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), sk_c8) = identity),
% 0.67/0.86 inference(transitivity,[status(thm)],[677, 680, 683, 685, 92])).
% 0.67/0.86 tff(742,plain,
% 0.67/0.86 (multiply(multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), sk_c8), sk_c8) = multiply(identity, sk_c8)),
% 0.67/0.86 inference(monotonicity,[status(thm)],[741])).
% 0.67/0.86 tff(743,plain,
% 0.67/0.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), sk_c8), sk_c8) = multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), multiply(sk_c8, sk_c8)))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(744,plain,
% 0.67/0.86 (multiply(multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), sk_c8), sk_c8) = multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), multiply(sk_c8, sk_c8))),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[743, 46])).
% 0.67/0.86 tff(745,plain,
% 0.67/0.86 (multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), multiply(sk_c8, sk_c8)) = multiply(multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), sk_c8), sk_c8)),
% 0.67/0.86 inference(symmetry,[status(thm)],[744])).
% 0.67/0.86 tff(746,plain,
% 0.67/0.86 (multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), multiply(sk_c8, sk_c6)) = multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), multiply(sk_c8, sk_c8))),
% 0.67/0.86 inference(monotonicity,[status(thm)],[670])).
% 0.67/0.86 tff(747,plain,
% 0.67/0.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), sk_c8), sk_c6) = multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), multiply(sk_c8, sk_c6)))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(748,plain,
% 0.67/0.86 (multiply(multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), sk_c8), sk_c6) = multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), multiply(sk_c8, sk_c6))),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[747, 46])).
% 0.67/0.86 tff(749,plain,
% 0.67/0.86 (multiply(multiply(sk_c7, sk_c6), sk_c6) = multiply(multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), sk_c8), sk_c6)),
% 0.67/0.86 inference(monotonicity,[status(thm)],[687])).
% 0.67/0.86 tff(750,plain,
% 0.67/0.86 (multiply(identity, sk_c6) = multiply(multiply(sk_c7, sk_c6), sk_c6)),
% 0.67/0.86 inference(monotonicity,[status(thm)],[673])).
% 0.67/0.86 tff(751,plain,
% 0.67/0.86 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c6) = sk_c6)),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(752,plain,
% 0.67/0.86 (multiply(identity, sk_c6) = sk_c6),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[751, 7])).
% 0.67/0.86 tff(753,plain,
% 0.67/0.86 (sk_c6 = multiply(identity, sk_c6)),
% 0.67/0.86 inference(symmetry,[status(thm)],[752])).
% 0.67/0.86 tff(754,plain,
% 0.67/0.86 (multiply(sk_c5, multiply(identity, sk_c8)) = multiply(sk_c5, sk_c8)),
% 0.67/0.86 inference(monotonicity,[status(thm)],[131])).
% 0.67/0.86 tff(755,plain,
% 0.67/0.86 (inverse(sk_c5) = multiply(identity, sk_c8)),
% 0.67/0.86 inference(transitivity,[status(thm)],[737, 191])).
% 0.67/0.86 tff(756,plain,
% 0.67/0.86 (multiply(sk_c5, inverse(sk_c5)) = multiply(sk_c5, multiply(identity, sk_c8))),
% 0.67/0.86 inference(monotonicity,[status(thm)],[755])).
% 0.67/0.86 tff(757,plain,
% 0.67/0.86 (multiply(sk_c5, inverse(sk_c5)) = sk_c8),
% 0.67/0.86 inference(transitivity,[status(thm)],[756, 754, 542, 753, 750, 749, 748, 746, 745, 742, 131])).
% 0.67/0.86 tff(758,plain,
% 0.67/0.86 ((multiply(sk_c5, inverse(sk_c5)) = sk_c7) <=> (sk_c8 = inverse(sk_c8))),
% 0.67/0.86 inference(monotonicity,[status(thm)],[757, 308])).
% 0.67/0.86 tff(759,plain,
% 0.67/0.86 ((multiply(sk_c5, inverse(sk_c5)) = sk_c7) <=> (inverse(sk_c8) = sk_c8)),
% 0.67/0.86 inference(transitivity,[status(thm)],[758, 61])).
% 0.67/0.86 tff(760,plain,
% 0.67/0.86 ((inverse(sk_c8) = sk_c8) <=> (multiply(sk_c5, inverse(sk_c5)) = sk_c7)),
% 0.67/0.86 inference(symmetry,[status(thm)],[759])).
% 0.67/0.86 tff(761,plain,
% 0.67/0.86 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c4, multiply(sk_c7, sk_c5))) = multiply(sk_c4, multiply(sk_c7, sk_c5)))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(762,plain,
% 0.67/0.86 (multiply(identity, multiply(sk_c4, multiply(sk_c7, sk_c5))) = multiply(sk_c4, multiply(sk_c7, sk_c5))),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[761, 7])).
% 0.67/0.86 tff(763,plain,
% 0.67/0.86 (multiply(identity, multiply(sk_c4, multiply(sk_c7, sk_c5))) = multiply(identity, multiply(sk_c8, sk_c5))),
% 0.67/0.86 inference(monotonicity,[status(thm)],[658])).
% 0.67/0.86 tff(764,plain,
% 0.67/0.86 (multiply(identity, multiply(sk_c8, sk_c5)) = multiply(identity, multiply(sk_c4, multiply(sk_c7, sk_c5)))),
% 0.67/0.86 inference(symmetry,[status(thm)],[763])).
% 0.67/0.86 tff(765,plain,
% 0.67/0.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c8), sk_c5) = multiply(identity, multiply(sk_c8, sk_c5)))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(766,plain,
% 0.67/0.86 (multiply(multiply(identity, sk_c8), sk_c5) = multiply(identity, multiply(sk_c8, sk_c5))),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[765, 46])).
% 0.67/0.86 tff(767,plain,
% 0.67/0.86 (multiply(identity, sk_c8) = multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.67/0.86 inference(transitivity,[status(thm)],[730, 341, 606])).
% 0.67/0.86 tff(768,plain,
% 0.67/0.86 (multiply(multiply(identity, sk_c8), sk_c5) = multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), sk_c5)),
% 0.67/0.86 inference(monotonicity,[status(thm)],[767])).
% 0.67/0.86 tff(769,plain,
% 0.67/0.86 (multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), sk_c5) = multiply(multiply(identity, sk_c8), sk_c5)),
% 0.67/0.86 inference(symmetry,[status(thm)],[768])).
% 0.67/0.86 tff(770,plain,
% 0.67/0.86 (sk_c8 = inverse(sk_c5)),
% 0.67/0.86 inference(symmetry,[status(thm)],[737])).
% 0.67/0.86 tff(771,plain,
% 0.67/0.86 (multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))) = inverse(sk_c5)),
% 0.67/0.86 inference(transitivity,[status(thm)],[733, 732, 731, 131, 770])).
% 0.67/0.86 tff(772,plain,
% 0.67/0.86 (multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 0.67/0.86 inference(monotonicity,[status(thm)],[771])).
% 0.67/0.86 tff(773,plain,
% 0.67/0.86 (multiply(inverse(sk_c5), sk_c5) = multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), sk_c5)),
% 0.67/0.86 inference(symmetry,[status(thm)],[772])).
% 0.67/0.86 tff(774,plain,
% 0.67/0.86 (multiply(sk_c8, sk_c4) = multiply(sk_c8, sk_c5)),
% 0.67/0.86 inference(transitivity,[status(thm)],[372, 281, 255, 773, 769, 766, 764, 762, 657, 654])).
% 0.67/0.86 tff(775,plain,
% 0.67/0.86 (multiply(multiply(sk_c8, sk_c4), sk_c7) = multiply(multiply(sk_c8, sk_c5), multiply(sk_c8, sk_c8))),
% 0.67/0.86 inference(monotonicity,[status(thm)],[774, 700])).
% 0.67/0.86 tff(776,plain,
% 0.67/0.86 (multiply(multiply(sk_c8, sk_c5), multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c8, sk_c4), sk_c7)),
% 0.67/0.86 inference(symmetry,[status(thm)],[775])).
% 0.67/0.86 tff(777,plain,
% 0.67/0.86 (multiply(sk_c8, sk_c7) = inverse(sk_c8)),
% 0.67/0.86 inference(transitivity,[status(thm)],[701, 711, 706, 616, 547, 776, 376, 9, 308])).
% 0.67/0.86 tff(778,plain,
% 0.67/0.86 ((multiply(sk_c8, sk_c7) = sk_c8) <=> (inverse(sk_c8) = sk_c8)),
% 0.67/0.86 inference(monotonicity,[status(thm)],[777])).
% 0.67/0.86 tff(779,plain,
% 0.67/0.86 ((multiply(sk_c8, sk_c7) = sk_c8) <=> (multiply(sk_c5, inverse(sk_c5)) = sk_c7)),
% 0.67/0.86 inference(transitivity,[status(thm)],[778, 760])).
% 0.67/0.86 tff(780,plain,
% 0.67/0.86 (multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.67/0.86 inference(monotonicity,[status(thm)],[662])).
% 0.67/0.86 tff(781,plain,
% 0.67/0.86 (multiply(multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.67/0.86 inference(symmetry,[status(thm)],[780])).
% 0.67/0.86 tff(782,plain,
% 0.67/0.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(783,plain,
% 0.67/0.86 (multiply(multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[782, 46])).
% 0.67/0.86 tff(784,plain,
% 0.67/0.86 (multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))) = multiply(multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.67/0.86 inference(symmetry,[status(thm)],[783])).
% 0.67/0.86 tff(785,plain,
% 0.67/0.86 (multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c8, sk_c4)),
% 0.67/0.86 inference(transitivity,[status(thm)],[466, 548, 545, 92, 295, 373])).
% 0.67/0.86 tff(786,plain,
% 0.67/0.86 (multiply(identity, multiply(sk_c8, sk_c5)) = multiply(multiply(identity, sk_c8), sk_c5)),
% 0.67/0.86 inference(symmetry,[status(thm)],[766])).
% 0.67/0.86 tff(787,plain,
% 0.67/0.86 (multiply(sk_c4, multiply(sk_c7, sk_c5)) = multiply(identity, multiply(sk_c4, multiply(sk_c7, sk_c5)))),
% 0.67/0.86 inference(symmetry,[status(thm)],[762])).
% 0.67/0.86 tff(788,plain,
% 0.67/0.86 (multiply(sk_c4, multiply(sk_c7, sk_c5)) = identity),
% 0.67/0.86 inference(transitivity,[status(thm)],[787, 763, 786, 768, 772, 230])).
% 0.67/0.86 tff(789,plain,
% 0.67/0.86 (multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))) = multiply(identity, multiply(sk_c8, sk_c4))),
% 0.67/0.86 inference(monotonicity,[status(thm)],[788, 785])).
% 0.67/0.86 tff(790,plain,
% 0.67/0.86 (multiply(identity, multiply(sk_c8, sk_c4)) = multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 0.67/0.86 inference(symmetry,[status(thm)],[789])).
% 0.67/0.86 tff(791,plain,
% 0.67/0.86 (multiply(sk_c8, sk_c4) = identity),
% 0.67/0.86 inference(transitivity,[status(thm)],[372, 281])).
% 0.67/0.86 tff(792,plain,
% 0.67/0.86 (multiply(identity, multiply(sk_c8, sk_c4)) = multiply(multiply(sk_c8, sk_c4), identity)),
% 0.67/0.86 inference(monotonicity,[status(thm)],[374, 791])).
% 0.67/0.86 tff(793,plain,
% 0.67/0.86 (multiply(multiply(sk_c8, sk_c4), identity) = multiply(identity, multiply(sk_c8, sk_c4))),
% 0.67/0.86 inference(symmetry,[status(thm)],[792])).
% 0.67/0.86 tff(794,plain,
% 0.67/0.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c4), identity) = multiply(sk_c8, multiply(sk_c4, identity)))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(795,plain,
% 0.67/0.86 (multiply(multiply(sk_c8, sk_c4), identity) = multiply(sk_c8, multiply(sk_c4, identity))),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[794, 46])).
% 0.67/0.86 tff(796,plain,
% 0.67/0.86 (multiply(sk_c8, multiply(sk_c4, identity)) = multiply(multiply(sk_c8, sk_c4), identity)),
% 0.67/0.86 inference(symmetry,[status(thm)],[795])).
% 0.67/0.86 tff(797,plain,
% 0.67/0.86 (multiply(multiply(sk_c4, sk_c7), sk_c8) = multiply(sk_c8, sk_c8)),
% 0.67/0.86 inference(monotonicity,[status(thm)],[651])).
% 0.67/0.86 tff(798,plain,
% 0.67/0.86 (identity = multiply(sk_c7, sk_c8)),
% 0.67/0.86 inference(transitivity,[status(thm)],[93, 392])).
% 0.67/0.86 tff(799,plain,
% 0.67/0.86 (multiply(sk_c4, identity) = multiply(sk_c4, multiply(sk_c7, sk_c8))),
% 0.67/0.86 inference(monotonicity,[status(thm)],[798])).
% 0.67/0.86 tff(800,plain,
% 0.67/0.86 (multiply(sk_c4, identity) = multiply(sk_c8, sk_c8)),
% 0.67/0.86 inference(transitivity,[status(thm)],[799, 390, 797])).
% 0.67/0.86 tff(801,plain,
% 0.67/0.86 (multiply(sk_c8, multiply(sk_c4, identity)) = multiply(sk_c8, multiply(sk_c8, sk_c8))),
% 0.67/0.86 inference(monotonicity,[status(thm)],[800])).
% 0.67/0.86 tff(802,plain,
% 0.67/0.86 (multiply(sk_c8, multiply(sk_c8, sk_c8)) = multiply(sk_c8, multiply(sk_c4, identity))),
% 0.67/0.86 inference(symmetry,[status(thm)],[801])).
% 0.67/0.86 tff(803,plain,
% 0.67/0.86 (multiply(sk_c8, sk_c7) = sk_c8),
% 0.67/0.86 inference(transitivity,[status(thm)],[701, 802, 796, 793, 790, 784, 781, 733, 732, 731, 131])).
% 0.67/0.86 tff(804,plain,
% 0.67/0.86 (multiply(sk_c5, inverse(sk_c5)) = sk_c7),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[803, 779])).
% 0.67/0.86 tff(805,plain,
% 0.67/0.86 (multiply(sk_c4, multiply(sk_c8, sk_c8)) = multiply(sk_c4, sk_c7)),
% 0.67/0.86 inference(monotonicity,[status(thm)],[719])).
% 0.67/0.86 tff(806,plain,
% 0.67/0.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c8), sk_c8) = multiply(sk_c4, multiply(sk_c8, sk_c8)))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(807,plain,
% 0.67/0.86 (multiply(multiply(sk_c4, sk_c8), sk_c8) = multiply(sk_c4, multiply(sk_c8, sk_c8))),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[806, 46])).
% 0.67/0.86 tff(808,plain,
% 0.67/0.86 (multiply(sk_c4, multiply(sk_c8, sk_c8)) = sk_c8),
% 0.67/0.86 inference(transitivity,[status(thm)],[805, 651])).
% 0.67/0.86 tff(809,plain,
% 0.67/0.86 (multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c4, sk_c8), sk_c8)),
% 0.67/0.86 inference(monotonicity,[status(thm)],[808])).
% 0.67/0.86 tff(810,plain,
% 0.67/0.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c8), sk_c4), multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, multiply(sk_c8, sk_c8))))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(811,plain,
% 0.67/0.86 (multiply(multiply(multiply(sk_c4, sk_c8), sk_c4), multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, multiply(sk_c8, sk_c8)))),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[810, 46])).
% 0.67/0.86 tff(812,plain,
% 0.67/0.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c8), sk_c4) = multiply(sk_c4, multiply(sk_c8, sk_c4)))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(813,plain,
% 0.67/0.86 (multiply(multiply(sk_c4, sk_c8), sk_c4) = multiply(sk_c4, multiply(sk_c8, sk_c4))),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[812, 46])).
% 0.67/0.86 tff(814,plain,
% 0.67/0.86 (multiply(sk_c4, multiply(sk_c8, sk_c4)) = multiply(multiply(sk_c4, sk_c8), sk_c4)),
% 0.67/0.86 inference(symmetry,[status(thm)],[813])).
% 0.67/0.86 tff(815,plain,
% 0.67/0.86 (multiply(sk_c8, sk_c4) = multiply(sk_c7, sk_c8)),
% 0.67/0.86 inference(transitivity,[status(thm)],[372, 281, 93, 392])).
% 0.67/0.86 tff(816,plain,
% 0.67/0.86 (multiply(sk_c4, multiply(sk_c8, sk_c4)) = multiply(sk_c4, multiply(sk_c7, sk_c8))),
% 0.67/0.86 inference(monotonicity,[status(thm)],[815])).
% 0.67/0.86 tff(817,plain,
% 0.67/0.86 (multiply(sk_c4, multiply(sk_c7, sk_c8)) = multiply(sk_c4, multiply(sk_c8, sk_c4))),
% 0.67/0.86 inference(symmetry,[status(thm)],[816])).
% 0.67/0.86 tff(818,plain,
% 0.67/0.86 (multiply(sk_c8, sk_c8) = multiply(multiply(sk_c4, sk_c7), sk_c8)),
% 0.67/0.86 inference(symmetry,[status(thm)],[797])).
% 0.67/0.86 tff(819,plain,
% 0.67/0.86 (sk_c7 = multiply(multiply(sk_c4, sk_c8), sk_c4)),
% 0.67/0.86 inference(transitivity,[status(thm)],[116, 375, 378, 669, 818, 389, 817, 814])).
% 0.67/0.86 tff(820,plain,
% 0.67/0.86 (multiply(sk_c7, sk_c7) = multiply(multiply(multiply(sk_c4, sk_c8), sk_c4), multiply(sk_c8, sk_c8))),
% 0.67/0.86 inference(monotonicity,[status(thm)],[819, 700])).
% 0.67/0.86 tff(821,plain,
% 0.67/0.86 (multiply(multiply(sk_c8, sk_c8), sk_c7) = multiply(sk_c7, sk_c7)),
% 0.67/0.86 inference(monotonicity,[status(thm)],[719])).
% 0.67/0.86 tff(822,plain,
% 0.67/0.86 (multiply(multiply(sk_c8, sk_c8), sk_c7) = sk_c8),
% 0.67/0.86 inference(transitivity,[status(thm)],[821, 820, 811, 809, 807, 805, 651])).
% 0.67/0.86 tff(823,plain,
% 0.67/0.86 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7),
% 0.67/0.86 inference(transitivity,[status(thm)],[543, 218])).
% 0.67/0.86 tff(824,plain,
% 0.67/0.86 (((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(inverse(sk_c5), sk_c8) = sk_c7)) | (~(multiply(sk_c5, inverse(sk_c5)) = sk_c7)) | (~(multiply(multiply(sk_c8, sk_c8), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c8, sk_c8)) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(inverse(sk_c5), sk_c8) = sk_c7)) | (~(multiply(sk_c5, inverse(sk_c5)) = sk_c7)) | (~(multiply(multiply(sk_c8, sk_c8), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c8, sk_c8)) = sk_c8)))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(825,plain,
% 0.67/0.86 (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c8, sk_c8)) = sk_c8)) | (~(multiply(multiply(sk_c8, sk_c8), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c8, sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c5), sk_c8) = sk_c7)) | (~(multiply(sk_c5, inverse(sk_c5)) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(multiply(sk_c8, sk_c8), sk_c7) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(inverse(sk_c5), sk_c8) = sk_c7)) | (~(multiply(sk_c5, inverse(sk_c5)) = sk_c7)) | (~(multiply(multiply(sk_c8, sk_c8), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c8, sk_c8)) = sk_c8)))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(826,plain,
% 0.67/0.86 (((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c8, sk_c8)) = sk_c8)) | (~(multiply(multiply(sk_c8, sk_c8), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c8, sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c5), sk_c8) = sk_c7)) | (~(multiply(sk_c5, inverse(sk_c5)) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(multiply(sk_c8, sk_c8), sk_c7) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(inverse(sk_c5), sk_c8) = sk_c7)) | (~(multiply(sk_c5, inverse(sk_c5)) = sk_c7)) | (~(multiply(multiply(sk_c8, sk_c8), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c8, sk_c8)) = sk_c8))))),
% 0.67/0.86 inference(monotonicity,[status(thm)],[825])).
% 0.67/0.86 tff(827,plain,
% 0.67/0.86 (((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c8, sk_c8)) = sk_c8)) | (~(multiply(multiply(sk_c8, sk_c8), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c8, sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c5), sk_c8) = sk_c7)) | (~(multiply(sk_c5, inverse(sk_c5)) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(multiply(sk_c8, sk_c8), sk_c7) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(inverse(sk_c5), sk_c8) = sk_c7)) | (~(multiply(sk_c5, inverse(sk_c5)) = sk_c7)) | (~(multiply(multiply(sk_c8, sk_c8), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c8, sk_c8)) = sk_c8)))),
% 0.67/0.86 inference(transitivity,[status(thm)],[826, 824])).
% 0.67/0.86 tff(828,plain,
% 0.67/0.86 ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c8, sk_c8)) = sk_c8)) | (~(multiply(multiply(sk_c8, sk_c8), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c8, sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c5), sk_c8) = sk_c7)) | (~(multiply(sk_c5, inverse(sk_c5)) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(multiply(sk_c8, sk_c8), sk_c7) = sk_c8)))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(829,plain,
% 0.67/0.86 ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(inverse(sk_c5), sk_c8) = sk_c7)) | (~(multiply(sk_c5, inverse(sk_c5)) = sk_c7)) | (~(multiply(multiply(sk_c8, sk_c8), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c8, sk_c8)) = sk_c8))),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[828, 827])).
% 0.67/0.86 tff(830,plain,
% 0.67/0.86 ((~(multiply(inverse(sk_c5), sk_c8) = sk_c7)) | (~(multiply(sk_c5, inverse(sk_c5)) = sk_c7)) | (~(inverse(multiply(sk_c8, sk_c8)) = sk_c8))),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[829, 307, 737, 160, 823, 822])).
% 0.67/0.86 tff(831,plain,
% 0.67/0.86 ($false),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[830, 804, 740, 729])).
% 0.67/0.86 tff(832,plain,(~(inverse(sk_c5) = sk_c8)), inference(lemma,lemma(discharge,[]))).
% 0.67/0.86 tff(833,plain,
% 0.67/0.86 (((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c3) = sk_c7)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c3) = sk_c7))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(834,plain,
% 0.67/0.86 (((multiply(sk_c2, sk_c3) = sk_c7) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c3) = sk_c7))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(835,axiom,((multiply(sk_c2, sk_c3) = sk_c7) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_20')).
% 0.67/0.86 tff(836,plain,
% 0.67/0.86 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c3) = sk_c7)),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[835, 834])).
% 0.67/0.86 tff(837,plain,
% 0.67/0.86 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c3) = sk_c7)),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[836, 833])).
% 0.67/0.86 tff(838,plain,
% 0.67/0.86 (multiply(sk_c2, sk_c3) = sk_c7),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[837, 832])).
% 0.67/0.86 tff(839,plain,
% 0.67/0.86 (multiply(sk_c2, inverse(sk_c2)) = sk_c7),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[838, 576])).
% 0.67/0.86 tff(840,plain,
% 0.67/0.86 (((inverse(sk_c5) = sk_c8) | (multiply(sk_c3, sk_c8) = sk_c7)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c3, sk_c8) = sk_c7))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(841,plain,
% 0.67/0.86 (((multiply(sk_c3, sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c3, sk_c8) = sk_c7))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(842,axiom,((multiply(sk_c3, sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_30')).
% 0.71/0.87 tff(843,plain,
% 0.71/0.87 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c3, sk_c8) = sk_c7)),
% 0.71/0.87 inference(modus_ponens,[status(thm)],[842, 841])).
% 0.71/0.87 tff(844,plain,
% 0.71/0.87 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c3, sk_c8) = sk_c7)),
% 0.71/0.87 inference(modus_ponens,[status(thm)],[843, 840])).
% 0.71/0.87 tff(845,plain,
% 0.71/0.87 (multiply(sk_c3, sk_c8) = sk_c7),
% 0.71/0.87 inference(unit_resolution,[status(thm)],[844, 832])).
% 0.71/0.87 tff(846,plain,
% 0.71/0.87 (multiply(inverse(sk_c2), sk_c8) = sk_c7),
% 0.71/0.87 inference(modus_ponens,[status(thm)],[845, 646])).
% 0.71/0.87 tff(847,plain,
% 0.71/0.87 (multiply(sk_c8, multiply(sk_c4, sk_c7)) = multiply(sk_c8, sk_c8)),
% 0.71/0.87 inference(monotonicity,[status(thm)],[651])).
% 0.71/0.87 tff(848,plain,
% 0.71/0.87 (sk_c7 = multiply(sk_c8, sk_c8)),
% 0.71/0.87 inference(transitivity,[status(thm)],[116, 375, 378, 847])).
% 0.71/0.87 tff(849,plain,
% 0.71/0.87 (multiply(sk_c4, sk_c7) = multiply(sk_c4, multiply(sk_c8, sk_c8))),
% 0.71/0.87 inference(monotonicity,[status(thm)],[848])).
% 0.71/0.87 tff(850,plain,
% 0.71/0.87 (multiply(sk_c4, multiply(sk_c8, sk_c8)) = multiply(sk_c4, sk_c7)),
% 0.71/0.87 inference(symmetry,[status(thm)],[849])).
% 0.71/0.87 tff(851,plain,
% 0.71/0.87 (sk_c8 = multiply(sk_c4, multiply(sk_c8, sk_c8))),
% 0.71/0.87 inference(transitivity,[status(thm)],[652, 849])).
% 0.71/0.87 tff(852,plain,
% 0.71/0.87 (multiply(multiply(sk_c4, sk_c8), sk_c8) = multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, multiply(sk_c8, sk_c8)))),
% 0.71/0.87 inference(monotonicity,[status(thm)],[851])).
% 0.71/0.87 tff(853,plain,
% 0.71/0.87 (multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c4, sk_c8), sk_c8)),
% 0.71/0.87 inference(symmetry,[status(thm)],[852])).
% 0.71/0.87 tff(854,plain,
% 0.71/0.87 (multiply(sk_c8, sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c7))),
% 0.71/0.87 inference(symmetry,[status(thm)],[847])).
% 0.71/0.87 tff(855,plain,
% 0.71/0.87 (multiply(sk_c8, sk_c8) = sk_c7),
% 0.71/0.87 inference(transitivity,[status(thm)],[854, 379, 376, 9])).
% 0.71/0.87 tff(856,plain,
% 0.71/0.87 (multiply(multiply(sk_c4, sk_c8), sk_c4) = sk_c7),
% 0.71/0.87 inference(transitivity,[status(thm)],[813, 816, 390, 797, 854, 379, 376, 9])).
% 0.71/0.87 tff(857,plain,
% 0.71/0.87 (multiply(multiply(multiply(sk_c4, sk_c8), sk_c4), multiply(sk_c8, sk_c8)) = multiply(sk_c7, sk_c7)),
% 0.71/0.87 inference(monotonicity,[status(thm)],[856, 855])).
% 0.71/0.87 tff(858,plain,
% 0.71/0.87 (multiply(sk_c7, sk_c7) = multiply(multiply(multiply(sk_c4, sk_c8), sk_c4), multiply(sk_c8, sk_c8))),
% 0.71/0.87 inference(symmetry,[status(thm)],[857])).
% 0.71/0.87 tff(859,plain,
% 0.71/0.87 (multiply(multiply(sk_c5, sk_c8), sk_c8) = multiply(sk_c6, sk_c8)),
% 0.71/0.87 inference(symmetry,[status(thm)],[604])).
% 0.71/0.87 tff(860,plain,
% 0.71/0.87 (multiply(sk_c5, multiply(sk_c8, sk_c8)) = multiply(sk_c6, sk_c8)),
% 0.71/0.87 inference(transitivity,[status(thm)],[438, 859])).
% 0.71/0.87 tff(861,plain,
% 0.71/0.87 (multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c7, multiply(sk_c6, sk_c8))),
% 0.71/0.87 inference(monotonicity,[status(thm)],[860])).
% 0.71/0.87 tff(862,plain,
% 0.71/0.87 (multiply(sk_c7, multiply(sk_c6, sk_c8)) = multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.71/0.87 inference(symmetry,[status(thm)],[861])).
% 0.71/0.87 tff(863,plain,
% 0.71/0.87 (inverse(sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 0.71/0.87 inference(transitivity,[status(thm)],[307, 429, 661, 428])).
% 0.71/0.87 tff(864,plain,
% 0.71/0.87 (multiply(inverse(sk_c8), sk_c8) = multiply(multiply(multiply(sk_c8, sk_c5), sk_c8), sk_c8)),
% 0.71/0.87 inference(monotonicity,[status(thm)],[863])).
% 0.71/0.87 tff(865,plain,
% 0.71/0.87 (multiply(multiply(multiply(sk_c8, sk_c5), sk_c8), sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 0.71/0.87 inference(symmetry,[status(thm)],[864])).
% 0.71/0.87 tff(866,plain,
% 0.71/0.87 (multiply(sk_c8, sk_c8) = multiply(sk_c8, sk_c6)),
% 0.71/0.87 inference(transitivity,[status(thm)],[854, 379, 376, 9, 429])).
% 0.71/0.87 tff(867,plain,
% 0.71/0.87 (multiply(sk_c8, sk_c5) = multiply(sk_c4, multiply(sk_c7, sk_c5))),
% 0.71/0.87 inference(transitivity,[status(thm)],[653, 656])).
% 0.71/0.87 tff(868,plain,
% 0.71/0.87 (multiply(multiply(sk_c8, sk_c5), multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), multiply(sk_c8, sk_c6))),
% 0.71/0.87 inference(monotonicity,[status(thm)],[867, 866])).
% 0.71/0.87 tff(869,plain,
% 0.71/0.87 (multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), multiply(sk_c8, sk_c6)) = multiply(multiply(sk_c8, sk_c5), multiply(sk_c8, sk_c8))),
% 0.71/0.87 inference(symmetry,[status(thm)],[868])).
% 0.71/0.87 tff(870,plain,
% 0.71/0.87 (multiply(sk_c7, sk_c6) = identity),
% 0.71/0.87 inference(transitivity,[status(thm)],[663, 666, 869, 548, 865, 92])).
% 0.71/0.87 tff(871,plain,
% 0.71/0.87 (multiply(multiply(sk_c7, sk_c6), sk_c8) = multiply(identity, sk_c8)),
% 0.71/0.87 inference(monotonicity,[status(thm)],[870])).
% 0.71/0.87 tff(872,plain,
% 0.71/0.87 (multiply(identity, sk_c8) = multiply(multiply(sk_c7, sk_c6), sk_c8)),
% 0.71/0.87 inference(symmetry,[status(thm)],[871])).
% 0.71/0.87 tff(873,plain,
% 0.71/0.87 (multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, sk_c8)) = multiply(sk_c7, sk_c7)),
% 0.71/0.87 inference(monotonicity,[status(thm)],[855, 855])).
% 0.71/0.87 tff(874,plain,
% 0.71/0.87 (multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, sk_c8)) = multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.71/0.87 inference(transitivity,[status(thm)],[873, 858, 811, 853, 807, 850, 651, 191, 872, 341, 862])).
% 0.71/0.87 tff(875,plain,
% 0.71/0.87 (multiply(sk_c2, multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, sk_c8))) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 0.71/0.87 inference(monotonicity,[status(thm)],[874])).
% 0.71/0.87 tff(876,plain,
% 0.71/0.87 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(sk_c8, sk_c8)), multiply(sk_c8, sk_c8)) = multiply(sk_c2, multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, sk_c8))))),
% 0.71/0.87 inference(quant_inst,[status(thm)],[])).
% 0.71/0.87 tff(877,plain,
% 0.71/0.87 (multiply(multiply(sk_c2, multiply(sk_c8, sk_c8)), multiply(sk_c8, sk_c8)) = multiply(sk_c2, multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, sk_c8)))),
% 0.71/0.87 inference(unit_resolution,[status(thm)],[876, 46])).
% 0.71/0.87 tff(878,plain,
% 0.71/0.87 (multiply(sk_c2, multiply(sk_c8, sk_c8)) = multiply(sk_c2, sk_c7)),
% 0.71/0.87 inference(monotonicity,[status(thm)],[855])).
% 0.71/0.87 tff(879,plain,
% 0.71/0.87 (multiply(sk_c2, sk_c7) = multiply(sk_c2, multiply(sk_c8, sk_c8))),
% 0.71/0.87 inference(symmetry,[status(thm)],[878])).
% 0.71/0.87 tff(880,plain,
% 0.71/0.87 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c2, multiply(sk_c8, sk_c8)), multiply(sk_c8, sk_c8))),
% 0.71/0.87 inference(monotonicity,[status(thm)],[879])).
% 0.71/0.87 tff(881,plain,
% 0.71/0.87 (multiply(sk_c7, multiply(sk_c8, sk_c7)) = multiply(multiply(sk_c7, sk_c8), sk_c7)),
% 0.71/0.87 inference(symmetry,[status(thm)],[723])).
% 0.71/0.87 tff(882,plain,
% 0.71/0.87 (multiply(sk_c8, sk_c7) = multiply(sk_c8, multiply(sk_c8, sk_c8))),
% 0.71/0.87 inference(monotonicity,[status(thm)],[848])).
% 0.71/0.87 tff(883,plain,
% 0.71/0.87 (multiply(sk_c8, multiply(sk_c8, sk_c8)) = multiply(sk_c8, sk_c7)),
% 0.71/0.87 inference(symmetry,[status(thm)],[882])).
% 0.71/0.87 tff(884,plain,
% 0.71/0.87 (multiply(sk_c8, sk_c8) = inverse(sk_c8)),
% 0.71/0.87 inference(transitivity,[status(thm)],[854, 379, 376, 9, 308])).
% 0.71/0.87 tff(885,plain,
% 0.71/0.87 (multiply(multiply(sk_c8, sk_c8), sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 0.71/0.87 inference(monotonicity,[status(thm)],[884])).
% 0.71/0.87 tff(886,plain,
% 0.71/0.87 (multiply(inverse(sk_c8), sk_c8) = multiply(multiply(sk_c8, sk_c8), sk_c8)),
% 0.71/0.87 inference(symmetry,[status(thm)],[885])).
% 0.71/0.87 tff(887,plain,
% 0.71/0.87 (multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c8, sk_c7)),
% 0.71/0.87 inference(transitivity,[status(thm)],[466, 548, 865, 886, 704, 883])).
% 0.71/0.87 tff(888,plain,
% 0.71/0.87 (multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))) = multiply(sk_c7, multiply(sk_c8, sk_c7))),
% 0.71/0.87 inference(monotonicity,[status(thm)],[855, 887])).
% 0.71/0.87 tff(889,plain,
% 0.71/0.87 (multiply(sk_c8, sk_c7) = multiply(multiply(sk_c8, sk_c8), sk_c8)),
% 0.71/0.87 inference(transitivity,[status(thm)],[882, 711])).
% 0.71/0.87 tff(890,plain,
% 0.71/0.87 (multiply(multiply(sk_c8, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(multiply(sk_c8, sk_c8), sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.71/0.87 inference(monotonicity,[status(thm)],[889])).
% 0.71/0.87 tff(891,plain,
% 0.71/0.87 (multiply(sk_c7, sk_c6) = multiply(sk_c8, sk_c7)),
% 0.71/0.87 inference(transitivity,[status(thm)],[663, 666, 869, 548, 865, 886, 704, 883])).
% 0.71/0.87 tff(892,plain,
% 0.71/0.87 (multiply(multiply(sk_c7, sk_c6), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c8, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.71/0.87 inference(monotonicity,[status(thm)],[891])).
% 0.71/0.87 tff(893,plain,
% 0.71/0.87 (identity = multiply(sk_c7, sk_c6)),
% 0.71/0.87 inference(transitivity,[status(thm)],[93, 864, 547, 868, 667, 664])).
% 0.71/0.87 tff(894,plain,
% 0.71/0.87 (multiply(identity, multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c7, sk_c6), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.71/0.87 inference(monotonicity,[status(thm)],[893])).
% 0.71/0.87 tff(895,plain,
% 0.71/0.87 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.71/0.87 inference(quant_inst,[status(thm)],[])).
% 0.71/0.87 tff(896,plain,
% 0.71/0.87 (multiply(identity, multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c5, multiply(sk_c8, sk_c8))),
% 0.71/0.87 inference(unit_resolution,[status(thm)],[895, 7])).
% 0.71/0.87 tff(897,plain,
% 0.71/0.87 (multiply(sk_c5, multiply(sk_c8, sk_c8)) = multiply(identity, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.71/0.87 inference(symmetry,[status(thm)],[896])).
% 0.71/0.87 tff(898,plain,
% 0.71/0.87 (multiply(sk_c5, multiply(sk_c8, sk_c8)) = multiply(sk_c8, sk_c8)),
% 0.71/0.87 inference(transitivity,[status(thm)],[897, 894, 892, 890, 716, 888, 881, 725, 378, 847])).
% 0.71/0.87 tff(899,plain,
% 0.71/0.87 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c8, sk_c8))),
% 0.71/0.87 inference(monotonicity,[status(thm)],[898])).
% 0.71/0.87 tff(900,plain,
% 0.71/0.87 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 0.71/0.87 inference(transitivity,[status(thm)],[899, 880, 877, 875])).
% 0.71/0.87 tff(901,plain,
% 0.71/0.87 (multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)) = multiply(multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3))),
% 0.71/0.87 inference(monotonicity,[status(thm)],[900])).
% 0.71/0.87 tff(902,plain,
% 0.71/0.87 (multiply(multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)) = multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3))),
% 0.71/0.87 inference(symmetry,[status(thm)],[901])).
% 0.71/0.87 tff(903,plain,
% 0.71/0.87 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)) = multiply(sk_c2, multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3))))),
% 0.71/0.87 inference(quant_inst,[status(thm)],[])).
% 0.71/0.87 tff(904,plain,
% 0.71/0.87 (multiply(multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)) = multiply(sk_c2, multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)))),
% 0.71/0.87 inference(unit_resolution,[status(thm)],[903, 46])).
% 0.71/0.87 tff(905,plain,
% 0.71/0.87 (multiply(sk_c2, multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3))) = multiply(multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3))),
% 0.71/0.87 inference(symmetry,[status(thm)],[904])).
% 0.71/0.87 tff(906,plain,
% 0.71/0.87 (multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), sk_c7)),
% 0.71/0.87 inference(monotonicity,[status(thm)],[855])).
% 0.71/0.87 tff(907,plain,
% 0.71/0.87 (multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(sk_c8, sk_c8))),
% 0.71/0.87 inference(symmetry,[status(thm)],[906])).
% 0.71/0.87 tff(908,plain,
% 0.71/0.87 (multiply(multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.71/0.87 inference(monotonicity,[status(thm)],[679])).
% 0.71/0.87 tff(909,plain,
% 0.71/0.87 (identity = multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.71/0.87 inference(transitivity,[status(thm)],[93, 864, 547, 442])).
% 0.71/0.87 tff(910,plain,
% 0.71/0.87 (multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), identity) = multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 0.71/0.87 inference(monotonicity,[status(thm)],[909])).
% 0.71/0.87 tff(911,plain,
% 0.71/0.87 (multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), identity) = multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.71/0.87 inference(transitivity,[status(thm)],[910, 784, 908])).
% 0.71/0.87 tff(912,plain,
% 0.71/0.87 (multiply(multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), identity), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), sk_c7)),
% 0.71/0.87 inference(monotonicity,[status(thm)],[911])).
% 0.71/0.87 tff(913,plain,
% 0.71/0.87 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), identity), sk_c7) = multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), multiply(identity, sk_c7)))),
% 0.71/0.87 inference(quant_inst,[status(thm)],[])).
% 0.71/0.87 tff(914,plain,
% 0.71/0.87 (multiply(multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), identity), sk_c7) = multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), multiply(identity, sk_c7))),
% 0.71/0.87 inference(unit_resolution,[status(thm)],[913, 46])).
% 0.71/0.87 tff(915,plain,
% 0.71/0.87 (multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), multiply(identity, sk_c7)) = multiply(multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), identity), sk_c7)),
% 0.71/0.87 inference(symmetry,[status(thm)],[914])).
% 0.71/0.87 tff(916,plain,
% 0.71/0.87 (multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), multiply(sk_c8, sk_c6)) = multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), multiply(identity, sk_c7))),
% 0.71/0.87 inference(monotonicity,[status(thm)],[609])).
% 0.71/0.87 tff(917,plain,
% 0.71/0.87 (identity = multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(sk_c8, sk_c8))),
% 0.71/0.87 inference(transitivity,[status(thm)],[93, 864, 547, 868, 916, 915, 912, 907])).
% 0.71/0.87 tff(918,plain,
% 0.71/0.87 (multiply(identity, sk_c3) = multiply(multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(sk_c8, sk_c8)), sk_c3)),
% 0.71/0.87 inference(monotonicity,[status(thm)],[917])).
% 0.71/0.87 tff(919,plain,
% 0.71/0.87 (multiply(multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(sk_c8, sk_c8)), sk_c3) = multiply(identity, sk_c3)),
% 0.71/0.87 inference(symmetry,[status(thm)],[918])).
% 0.71/0.87 tff(920,plain,
% 0.71/0.87 ((~![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_c8, sk_c8))), multiply(sk_c8, sk_c8)), sk_c3) = multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c8, sk_c8), sk_c3)))),
% 0.71/0.87 inference(quant_inst,[status(thm)],[])).
% 0.71/0.87 tff(921,plain,
% 0.71/0.87 (multiply(multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(sk_c8, sk_c8)), sk_c3) = multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c8, sk_c8), sk_c3))),
% 0.71/0.87 inference(unit_resolution,[status(thm)],[920, 46])).
% 0.71/0.87 tff(922,plain,
% 0.71/0.87 (multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c8, sk_c8), sk_c3)) = multiply(multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(sk_c8, sk_c8)), sk_c3)),
% 0.71/0.87 inference(symmetry,[status(thm)],[921])).
% 0.71/0.87 tff(923,plain,
% 0.71/0.87 (sk_c4 = multiply(identity, sk_c4)),
% 0.71/0.87 inference(symmetry,[status(thm)],[253])).
% 0.71/0.87 tff(924,plain,
% 0.71/0.87 (multiply(sk_c4, sk_c3) = multiply(multiply(identity, sk_c4), sk_c3)),
% 0.71/0.87 inference(monotonicity,[status(thm)],[923])).
% 0.71/0.87 tff(925,plain,
% 0.71/0.87 (multiply(multiply(identity, sk_c4), sk_c3) = multiply(sk_c4, sk_c3)),
% 0.71/0.87 inference(symmetry,[status(thm)],[924])).
% 0.71/0.87 tff(926,plain,
% 0.71/0.87 (multiply(multiply(sk_c7, sk_c6), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(identity, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.71/0.87 inference(symmetry,[status(thm)],[894])).
% 0.71/0.87 tff(927,plain,
% 0.71/0.87 (multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), sk_c8) = multiply(sk_c7, sk_c6)),
% 0.71/0.87 inference(transitivity,[status(thm)],[677, 680, 683, 685, 864, 547, 868, 667, 664])).
% 0.71/0.87 tff(928,plain,
% 0.71/0.87 (multiply(multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c7, sk_c6), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.71/0.87 inference(monotonicity,[status(thm)],[927])).
% 0.71/0.87 tff(929,plain,
% 0.71/0.87 (multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))) = multiply(multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.71/0.87 inference(symmetry,[status(thm)],[696])).
% 0.71/0.87 tff(930,plain,
% 0.71/0.87 (multiply(sk_c8, sk_c4) = multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.71/0.87 inference(transitivity,[status(thm)],[372, 281, 93, 864, 547, 442])).
% 0.71/0.87 tff(931,plain,
% 0.71/0.87 (multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), multiply(sk_c8, sk_c4)) = multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 0.71/0.87 inference(monotonicity,[status(thm)],[930])).
% 0.71/0.87 tff(932,plain,
% 0.71/0.87 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), sk_c8), sk_c4) = multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), multiply(sk_c8, sk_c4)))),
% 0.71/0.87 inference(quant_inst,[status(thm)],[])).
% 0.71/0.87 tff(933,plain,
% 0.71/0.87 (multiply(multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), sk_c8), sk_c4) = multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), multiply(sk_c8, sk_c4))),
% 0.71/0.87 inference(unit_resolution,[status(thm)],[932, 46])).
% 0.71/0.87 tff(934,plain,
% 0.71/0.87 (identity = multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), sk_c8)),
% 0.71/0.87 inference(transitivity,[status(thm)],[93, 686, 684, 681, 678])).
% 0.71/0.87 tff(935,plain,
% 0.71/0.87 (multiply(identity, sk_c4) = multiply(multiply(multiply(multiply(sk_c7, sk_c4), multiply(sk_c4, multiply(sk_c7, sk_c5))), sk_c8), sk_c4)),
% 0.71/0.87 inference(monotonicity,[status(thm)],[934])).
% 0.71/0.87 tff(936,plain,
% 0.71/0.87 (multiply(identity, sk_c4) = multiply(sk_c5, multiply(sk_c8, sk_c8))),
% 0.71/0.87 inference(transitivity,[status(thm)],[935, 933, 931, 929, 928, 926, 896])).
% 0.71/0.87 tff(937,plain,
% 0.71/0.87 (multiply(multiply(identity, sk_c4), sk_c3) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)),
% 0.71/0.87 inference(monotonicity,[status(thm)],[936])).
% 0.71/0.87 tff(938,plain,
% 0.71/0.87 (multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3) = multiply(multiply(identity, sk_c4), sk_c3)),
% 0.71/0.87 inference(symmetry,[status(thm)],[937])).
% 0.71/0.87 tff(939,plain,
% 0.71/0.87 (multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3) = multiply(multiply(sk_c8, sk_c8), sk_c3)),
% 0.71/0.87 inference(monotonicity,[status(thm)],[898])).
% 0.71/0.87 tff(940,plain,
% 0.71/0.87 (multiply(multiply(sk_c8, sk_c8), sk_c3) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)),
% 0.71/0.87 inference(symmetry,[status(thm)],[939])).
% 0.71/0.87 tff(941,plain,
% 0.71/0.87 (multiply(multiply(sk_c8, sk_c8), sk_c3) = multiply(sk_c4, sk_c3)),
% 0.71/0.87 inference(transitivity,[status(thm)],[940, 938, 925])).
% 0.71/0.87 tff(942,plain,
% 0.71/0.87 (multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c8, sk_c8), sk_c3)) = multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(sk_c4, sk_c3))),
% 0.71/0.87 inference(monotonicity,[status(thm)],[941])).
% 0.71/0.87 tff(943,plain,
% 0.71/0.87 (multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(sk_c4, sk_c3)) = multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c8, sk_c8), sk_c3))),
% 0.71/0.87 inference(symmetry,[status(thm)],[942])).
% 0.71/0.87 tff(944,plain,
% 0.71/0.87 (multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3) = multiply(sk_c4, sk_c3)),
% 0.71/0.87 inference(transitivity,[status(thm)],[938, 925])).
% 0.71/0.87 tff(945,plain,
% 0.71/0.87 (multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)) = multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(sk_c4, sk_c3))),
% 0.71/0.87 inference(monotonicity,[status(thm)],[944])).
% 0.71/0.87 tff(946,plain,
% 0.71/0.87 (multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)) = multiply(identity, sk_c3)),
% 0.71/0.87 inference(transitivity,[status(thm)],[945, 943, 922, 919])).
% 0.71/0.87 tff(947,plain,
% 0.71/0.87 (multiply(sk_c2, multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3))) = multiply(sk_c2, multiply(identity, sk_c3))),
% 0.71/0.87 inference(monotonicity,[status(thm)],[946])).
% 0.71/0.87 tff(948,plain,
% 0.71/0.87 (multiply(sk_c2, multiply(identity, sk_c3)) = multiply(sk_c2, multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)))),
% 0.71/0.87 inference(symmetry,[status(thm)],[947])).
% 0.71/0.87 tff(949,plain,
% 0.71/0.87 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c3) = sk_c3)),
% 0.71/0.87 inference(quant_inst,[status(thm)],[])).
% 0.71/0.87 tff(950,plain,
% 0.71/0.87 (multiply(identity, sk_c3) = sk_c3),
% 0.71/0.87 inference(unit_resolution,[status(thm)],[949, 7])).
% 0.71/0.87 tff(951,plain,
% 0.71/0.87 (multiply(sk_c2, multiply(identity, sk_c3)) = multiply(sk_c2, sk_c3)),
% 0.71/0.87 inference(monotonicity,[status(thm)],[950])).
% 0.71/0.87 tff(952,plain,
% 0.71/0.87 (multiply(sk_c2, sk_c3) = multiply(sk_c2, multiply(identity, sk_c3))),
% 0.71/0.87 inference(symmetry,[status(thm)],[951])).
% 0.71/0.87 tff(953,plain,
% 0.71/0.87 (sk_c7 = multiply(sk_c2, sk_c3)),
% 0.71/0.87 inference(symmetry,[status(thm)],[838])).
% 0.71/0.87 tff(954,plain,
% 0.71/0.87 (sk_c7 = multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3))),
% 0.71/0.87 inference(transitivity,[status(thm)],[953, 952, 948, 905, 902])).
% 0.71/0.87 tff(955,plain,
% 0.71/0.87 (multiply(sk_c7, sk_c7) = multiply(multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)), multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)))),
% 0.71/0.87 inference(monotonicity,[status(thm)],[954, 954])).
% 0.71/0.87 tff(956,plain,
% 0.71/0.87 (multiply(multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)), multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3))) = multiply(sk_c7, sk_c7)),
% 0.71/0.87 inference(symmetry,[status(thm)],[955])).
% 0.71/0.87 tff(957,plain,
% 0.71/0.87 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)), multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3))) = multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)))))),
% 0.71/0.87 inference(quant_inst,[status(thm)],[])).
% 0.71/0.87 tff(958,plain,
% 0.71/0.87 (multiply(multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)), multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3))) = multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3))))),
% 0.71/0.87 inference(unit_resolution,[status(thm)],[957, 46])).
% 0.71/0.87 tff(959,plain,
% 0.71/0.87 (multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)))) = multiply(multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)), multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)))),
% 0.71/0.87 inference(symmetry,[status(thm)],[958])).
% 0.71/0.87 tff(960,plain,
% 0.71/0.87 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3))),
% 0.71/0.87 inference(quant_inst,[status(thm)],[])).
% 0.71/0.87 tff(961,plain,
% 0.71/0.87 (multiply(identity, multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)),
% 0.71/0.87 inference(unit_resolution,[status(thm)],[960, 7])).
% 0.71/0.87 tff(962,plain,
% 0.71/0.87 (multiply(sk_c4, sk_c3) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)),
% 0.71/0.87 inference(transitivity,[status(thm)],[924, 937])).
% 0.71/0.87 tff(963,plain,
% 0.71/0.87 (multiply(identity, multiply(sk_c4, sk_c3)) = multiply(identity, multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3))),
% 0.71/0.87 inference(monotonicity,[status(thm)],[962])).
% 0.71/0.87 tff(964,plain,
% 0.71/0.87 (multiply(sk_c3, sk_c2) = multiply(sk_c7, sk_c8)),
% 0.71/0.87 inference(transitivity,[status(thm)],[580, 31, 93, 392])).
% 0.71/0.87 tff(965,plain,
% 0.71/0.87 (multiply(sk_c4, multiply(sk_c3, sk_c2)) = multiply(sk_c4, multiply(sk_c7, sk_c8))),
% 0.71/0.87 inference(monotonicity,[status(thm)],[964])).
% 0.71/0.87 tff(966,plain,
% 0.71/0.87 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c3), sk_c2) = multiply(sk_c4, multiply(sk_c3, sk_c2)))),
% 0.71/0.87 inference(quant_inst,[status(thm)],[])).
% 0.71/0.87 tff(967,plain,
% 0.71/0.87 (multiply(multiply(sk_c4, sk_c3), sk_c2) = multiply(sk_c4, multiply(sk_c3, sk_c2))),
% 0.71/0.87 inference(unit_resolution,[status(thm)],[966, 46])).
% 0.71/0.87 tff(968,plain,
% 0.71/0.87 (multiply(multiply(sk_c4, sk_c3), sk_c2) = inverse(sk_c8)),
% 0.71/0.87 inference(transitivity,[status(thm)],[967, 965, 390, 797, 854, 379, 376, 9, 308])).
% 0.71/0.87 tff(969,plain,
% 0.71/0.87 (multiply(multiply(multiply(sk_c4, sk_c3), sk_c2), sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 0.71/0.87 inference(monotonicity,[status(thm)],[968])).
% 0.71/0.87 tff(970,plain,
% 0.71/0.87 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c3), sk_c2), sk_c8) = multiply(multiply(sk_c4, sk_c3), multiply(sk_c2, sk_c8)))),
% 0.71/0.87 inference(quant_inst,[status(thm)],[])).
% 0.71/0.87 tff(971,plain,
% 0.71/0.87 (multiply(multiply(multiply(sk_c4, sk_c3), sk_c2), sk_c8) = multiply(multiply(sk_c4, sk_c3), multiply(sk_c2, sk_c8))),
% 0.71/0.87 inference(unit_resolution,[status(thm)],[970, 46])).
% 0.71/0.87 tff(972,plain,
% 0.71/0.87 (multiply(multiply(sk_c4, sk_c3), multiply(sk_c2, sk_c8)) = multiply(multiply(multiply(sk_c4, sk_c3), sk_c2), sk_c8)),
% 0.71/0.87 inference(symmetry,[status(thm)],[971])).
% 0.71/0.87 tff(973,plain,
% 0.71/0.87 (sk_c8 = multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.71/0.87 inference(transitivity,[status(thm)],[191, 872, 341, 862])).
% 0.71/0.87 tff(974,plain,
% 0.71/0.87 (multiply(sk_c2, sk_c8) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 0.71/0.87 inference(monotonicity,[status(thm)],[973])).
% 0.71/0.87 tff(975,plain,
% 0.71/0.87 (multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))) = multiply(sk_c2, sk_c8)),
% 0.71/0.87 inference(symmetry,[status(thm)],[974])).
% 0.71/0.87 tff(976,plain,
% 0.71/0.87 (multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))))) = multiply(multiply(sk_c4, sk_c3), multiply(sk_c2, sk_c8))),
% 0.71/0.87 inference(monotonicity,[status(thm)],[944, 975])).
% 0.71/0.87 tff(977,plain,
% 0.71/0.87 (multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))))) = identity),
% 0.71/0.87 inference(transitivity,[status(thm)],[976, 972, 969, 92])).
% 0.71/0.88 tff(978,plain,
% 0.71/0.88 (multiply(multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)) = multiply(identity, multiply(sk_c4, sk_c3))),
% 0.71/0.88 inference(monotonicity,[status(thm)],[977, 944])).
% 0.71/0.88 tff(979,plain,
% 0.71/0.88 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)) = multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3))))),
% 0.71/0.88 inference(quant_inst,[status(thm)],[])).
% 0.71/0.88 tff(980,plain,
% 0.71/0.88 (multiply(multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)) = multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)))),
% 0.71/0.88 inference(unit_resolution,[status(thm)],[979, 46])).
% 0.71/0.88 tff(981,plain,
% 0.71/0.88 (multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3))) = multiply(multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3))),
% 0.71/0.88 inference(symmetry,[status(thm)],[980])).
% 0.71/0.88 tff(982,plain,
% 0.71/0.88 (multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3))) = multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)))),
% 0.71/0.88 inference(monotonicity,[status(thm)],[901])).
% 0.71/0.88 tff(983,plain,
% 0.71/0.88 (multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3))) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)),
% 0.71/0.88 inference(transitivity,[status(thm)],[982, 981, 978, 963, 961])).
% 0.71/0.88 tff(984,plain,
% 0.71/0.88 (multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)))) = multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3))),
% 0.71/0.88 inference(monotonicity,[status(thm)],[983])).
% 0.71/0.88 tff(985,plain,
% 0.71/0.88 (multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)) = multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3))))),
% 0.71/0.88 inference(symmetry,[status(thm)],[984])).
% 0.71/0.88 tff(986,plain,
% 0.71/0.88 (sk_c7 = sk_c8),
% 0.71/0.88 inference(transitivity,[status(thm)],[953, 952, 948, 905, 902, 985, 959, 956, 858, 811, 853, 807, 850, 651])).
% 0.71/0.88 tff(987,plain,
% 0.71/0.88 (multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, multiply(sk_c8, sk_c8))) = multiply(multiply(multiply(sk_c4, sk_c8), sk_c4), multiply(sk_c8, sk_c8))),
% 0.71/0.88 inference(symmetry,[status(thm)],[811])).
% 0.71/0.88 tff(988,plain,
% 0.71/0.88 (multiply(sk_c4, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c4, sk_c8), sk_c8)),
% 0.71/0.88 inference(symmetry,[status(thm)],[807])).
% 0.71/0.88 tff(989,plain,
% 0.71/0.88 (multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7),
% 0.71/0.88 inference(transitivity,[status(thm)],[861, 732, 871, 131, 652, 849, 988, 852, 987, 857, 955, 958, 984, 901, 904, 947, 951, 838])).
% 0.71/0.88 tff(990,plain,
% 0.71/0.88 (multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))) = multiply(sk_c2, sk_c7)),
% 0.71/0.88 inference(monotonicity,[status(thm)],[989])).
% 0.71/0.88 tff(991,plain,
% 0.71/0.88 (multiply(multiply(sk_c8, sk_c8), identity) = multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 0.71/0.88 inference(monotonicity,[status(thm)],[909])).
% 0.71/0.88 tff(992,plain,
% 0.71/0.88 (multiply(multiply(sk_c8, sk_c8), identity) = multiply(sk_c8, sk_c8)),
% 0.71/0.88 inference(transitivity,[status(thm)],[991, 888, 881, 725, 378, 847])).
% 0.71/0.88 tff(993,plain,
% 0.71/0.88 (multiply(multiply(sk_c2, multiply(sk_c8, sk_c8)), multiply(multiply(sk_c8, sk_c8), identity)) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c8, sk_c8))),
% 0.71/0.88 inference(monotonicity,[status(thm)],[878, 992])).
% 0.71/0.88 tff(994,plain,
% 0.71/0.88 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(sk_c8, sk_c8)), multiply(sk_c8, sk_c8)), identity) = multiply(multiply(sk_c2, multiply(sk_c8, sk_c8)), multiply(multiply(sk_c8, sk_c8), identity)))),
% 0.71/0.88 inference(quant_inst,[status(thm)],[])).
% 0.71/0.88 tff(995,plain,
% 0.71/0.88 (multiply(multiply(multiply(sk_c2, multiply(sk_c8, sk_c8)), multiply(sk_c8, sk_c8)), identity) = multiply(multiply(sk_c2, multiply(sk_c8, sk_c8)), multiply(multiply(sk_c8, sk_c8), identity))),
% 0.71/0.88 inference(unit_resolution,[status(thm)],[994, 46])).
% 0.71/0.88 tff(996,plain,
% 0.71/0.88 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c2, multiply(sk_c8, sk_c8)), multiply(sk_c8, sk_c8))),
% 0.71/0.88 inference(transitivity,[status(thm)],[899, 880])).
% 0.71/0.88 tff(997,plain,
% 0.71/0.88 (multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), identity) = multiply(multiply(multiply(sk_c2, multiply(sk_c8, sk_c8)), multiply(sk_c8, sk_c8)), identity)),
% 0.71/0.88 inference(monotonicity,[status(thm)],[996])).
% 0.71/0.88 tff(998,plain,
% 0.71/0.88 (multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c8),
% 0.71/0.88 inference(transitivity,[status(thm)],[861, 732, 871, 131])).
% 0.71/0.88 tff(999,plain,
% 0.71/0.88 (multiply(multiply(sk_c8, sk_c8), multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))) = multiply(inverse(sk_c8), sk_c8)),
% 0.71/0.88 inference(monotonicity,[status(thm)],[884, 998])).
% 0.71/0.88 tff(1000,plain,
% 0.71/0.88 (multiply(sk_c3, sk_c2) = multiply(sk_c8, sk_c4)),
% 0.71/0.88 inference(transitivity,[status(thm)],[580, 31, 295, 373])).
% 0.71/0.88 tff(1001,plain,
% 0.71/0.88 (multiply(multiply(sk_c3, sk_c2), sk_c7) = multiply(multiply(sk_c8, sk_c4), sk_c7)),
% 0.71/0.88 inference(monotonicity,[status(thm)],[1000])).
% 0.71/0.88 tff(1002,plain,
% 0.71/0.88 (multiply(sk_c3, multiply(sk_c2, sk_c7)) = sk_c7),
% 0.71/0.88 inference(transitivity,[status(thm)],[49, 1001, 376, 9])).
% 0.71/0.88 tff(1003,plain,
% 0.71/0.88 (multiply(multiply(sk_c3, multiply(sk_c2, sk_c7)), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.71/0.88 inference(monotonicity,[status(thm)],[1002])).
% 0.71/0.88 tff(1004,plain,
% 0.71/0.88 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, multiply(sk_c2, sk_c7)), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c3, multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8)))))),
% 0.71/0.88 inference(quant_inst,[status(thm)],[])).
% 0.71/0.88 tff(1005,plain,
% 0.71/0.88 (multiply(multiply(sk_c3, multiply(sk_c2, sk_c7)), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c3, multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 0.71/0.88 inference(unit_resolution,[status(thm)],[1004, 46])).
% 0.71/0.88 tff(1006,plain,
% 0.71/0.88 (multiply(sk_c3, multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8)))) = multiply(multiply(sk_c3, multiply(sk_c2, sk_c7)), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.71/0.88 inference(symmetry,[status(thm)],[1005])).
% 0.71/0.88 tff(1007,plain,
% 0.71/0.88 (multiply(sk_c3, multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8)))) = multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.71/0.88 inference(transitivity,[status(thm)],[1006, 1003])).
% 0.71/0.88 tff(1008,plain,
% 0.71/0.88 (multiply(multiply(sk_c8, sk_c8), multiply(sk_c3, multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))))) = multiply(multiply(sk_c8, sk_c8), multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 0.71/0.88 inference(monotonicity,[status(thm)],[1007])).
% 0.71/0.88 tff(1009,plain,
% 0.71/0.88 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, sk_c8), sk_c3), multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8)))) = multiply(multiply(sk_c8, sk_c8), multiply(sk_c3, multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))))))),
% 0.71/0.88 inference(quant_inst,[status(thm)],[])).
% 0.71/0.88 tff(1010,plain,
% 0.71/0.88 (multiply(multiply(multiply(sk_c8, sk_c8), sk_c3), multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8)))) = multiply(multiply(sk_c8, sk_c8), multiply(sk_c3, multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8)))))),
% 0.71/0.88 inference(unit_resolution,[status(thm)],[1009, 46])).
% 0.71/0.88 tff(1011,plain,
% 0.71/0.88 (multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8)))) = multiply(multiply(multiply(sk_c8, sk_c8), sk_c3), multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 0.71/0.88 inference(monotonicity,[status(thm)],[939])).
% 0.71/0.88 tff(1012,plain,
% 0.71/0.88 (multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8)))) = identity),
% 0.71/0.88 inference(transitivity,[status(thm)],[1011, 1010, 1008, 999, 92])).
% 0.71/0.88 tff(1013,plain,
% 0.71/0.88 (multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))))) = multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), identity)),
% 0.71/0.88 inference(monotonicity,[status(thm)],[1012])).
% 0.71/0.88 tff(1014,plain,
% 0.71/0.88 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)), multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8)))) = multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))))))),
% 0.71/0.88 inference(quant_inst,[status(thm)],[])).
% 0.71/0.88 tff(1015,plain,
% 0.71/0.88 (multiply(multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)), multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8)))) = multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8)))))),
% 0.71/0.88 inference(unit_resolution,[status(thm)],[1014, 46])).
% 0.71/0.88 tff(1016,plain,
% 0.71/0.88 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.71/0.88 inference(symmetry,[status(thm)],[899])).
% 0.71/0.88 tff(1017,plain,
% 0.71/0.88 (multiply(multiply(sk_c2, multiply(sk_c8, sk_c8)), multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c8, sk_c8))),
% 0.71/0.88 inference(symmetry,[status(thm)],[880])).
% 0.71/0.88 tff(1018,plain,
% 0.71/0.88 (multiply(sk_c2, multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c2, multiply(sk_c8, sk_c8)), multiply(sk_c8, sk_c8))),
% 0.71/0.88 inference(symmetry,[status(thm)],[877])).
% 0.71/0.88 tff(1019,plain,
% 0.71/0.88 (multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))) = multiply(sk_c2, multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, sk_c8)))),
% 0.71/0.88 inference(symmetry,[status(thm)],[875])).
% 0.71/0.88 tff(1020,plain,
% 0.71/0.88 (multiply(sk_c2, sk_c8) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.71/0.88 inference(transitivity,[status(thm)],[974, 1019, 1018, 1017, 1016])).
% 0.71/0.88 tff(1021,plain,
% 0.71/0.88 (sk_c8 = multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3))),
% 0.71/0.88 inference(transitivity,[status(thm)],[652, 849, 988, 852, 987, 857, 955, 958, 984])).
% 0.71/0.88 tff(1022,plain,
% 0.71/0.88 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = multiply(multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)), multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 0.71/0.88 inference(monotonicity,[status(thm)],[1021, 1020])).
% 0.71/0.88 tff(1023,plain,
% 0.71/0.88 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = multiply(sk_c2, sk_c7)),
% 0.71/0.88 inference(transitivity,[status(thm)],[1022, 1015, 1013, 997, 995, 993, 880, 877, 875, 990])).
% 0.71/0.88 tff(1024,plain,
% 0.71/0.88 ((multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7) <=> (multiply(sk_c2, sk_c7) = sk_c8)),
% 0.71/0.88 inference(monotonicity,[status(thm)],[1023, 986])).
% 0.71/0.88 tff(1025,plain,
% 0.71/0.88 ((multiply(sk_c2, sk_c7) = sk_c8) <=> (multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)),
% 0.71/0.88 inference(symmetry,[status(thm)],[1024])).
% 0.71/0.88 tff(1026,plain,
% 0.71/0.88 (multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), sk_c7) = multiply(sk_c7, sk_c7)),
% 0.71/0.88 inference(monotonicity,[status(thm)],[989])).
% 0.71/0.88 tff(1027,plain,
% 0.71/0.88 (multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(sk_c3, multiply(sk_c2, sk_c7))) = multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), sk_c7)),
% 0.71/0.88 inference(monotonicity,[status(thm)],[1002])).
% 0.71/0.88 tff(1028,plain,
% 0.71/0.88 ((~![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_c8, sk_c8))), sk_c3), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(sk_c3, multiply(sk_c2, sk_c7))))),
% 0.71/0.88 inference(quant_inst,[status(thm)],[])).
% 0.71/0.88 tff(1029,plain,
% 0.71/0.88 (multiply(multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), sk_c3), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(sk_c3, multiply(sk_c2, sk_c7)))),
% 0.71/0.88 inference(unit_resolution,[status(thm)],[1028, 46])).
% 0.71/0.88 tff(1030,plain,
% 0.71/0.88 (multiply(sk_c7, sk_c7) = multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, sk_c8))),
% 0.71/0.88 inference(symmetry,[status(thm)],[873])).
% 0.71/0.88 tff(1031,plain,
% 0.71/0.88 (multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, sk_c8))),
% 0.71/0.88 inference(transitivity,[status(thm)],[861, 732, 871, 131, 652, 849, 988, 852, 987, 857, 1030])).
% 0.71/0.88 tff(1032,plain,
% 0.71/0.88 (multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), sk_c3) = multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, sk_c8)), sk_c3)),
% 0.71/0.88 inference(monotonicity,[status(thm)],[1031])).
% 0.71/0.88 tff(1033,plain,
% 0.71/0.88 (multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, sk_c8)), sk_c3) = multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), sk_c3)),
% 0.71/0.88 inference(symmetry,[status(thm)],[1032])).
% 0.71/0.88 tff(1034,plain,
% 0.71/0.88 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, sk_c8)), sk_c3) = multiply(multiply(sk_c8, sk_c8), multiply(multiply(sk_c8, sk_c8), sk_c3)))),
% 0.71/0.88 inference(quant_inst,[status(thm)],[])).
% 0.71/0.88 tff(1035,plain,
% 0.71/0.88 (multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, sk_c8)), sk_c3) = multiply(multiply(sk_c8, sk_c8), multiply(multiply(sk_c8, sk_c8), sk_c3))),
% 0.71/0.88 inference(unit_resolution,[status(thm)],[1034, 46])).
% 0.71/0.88 tff(1036,plain,
% 0.71/0.88 (multiply(multiply(sk_c8, sk_c8), multiply(multiply(sk_c8, sk_c8), sk_c3)) = multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, sk_c8)), sk_c3)),
% 0.71/0.88 inference(symmetry,[status(thm)],[1035])).
% 0.71/0.88 tff(1037,plain,
% 0.71/0.88 (multiply(multiply(sk_c8, sk_c8), multiply(multiply(sk_c8, sk_c8), sk_c3)) = multiply(multiply(sk_c8, sk_c8), multiply(sk_c4, sk_c3))),
% 0.71/0.88 inference(monotonicity,[status(thm)],[941])).
% 0.71/0.88 tff(1038,plain,
% 0.71/0.88 (multiply(multiply(sk_c8, sk_c8), multiply(sk_c4, sk_c3)) = multiply(multiply(sk_c8, sk_c8), multiply(multiply(sk_c8, sk_c8), sk_c3))),
% 0.71/0.88 inference(symmetry,[status(thm)],[1037])).
% 0.71/0.88 tff(1039,plain,
% 0.71/0.88 (multiply(sk_c8, sk_c8) = multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.71/0.88 inference(transitivity,[status(thm)],[854, 379, 376, 9, 953, 952, 948, 905, 902, 985, 959, 956, 858, 811, 853, 807, 850, 651, 191, 872, 341, 862])).
% 0.71/0.88 tff(1040,plain,
% 0.71/0.88 (multiply(multiply(sk_c8, sk_c8), multiply(sk_c4, sk_c3)) = multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(sk_c4, sk_c3))),
% 0.71/0.88 inference(monotonicity,[status(thm)],[1039])).
% 0.71/0.88 tff(1041,plain,
% 0.71/0.88 (multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(sk_c4, sk_c3)) = multiply(multiply(sk_c8, sk_c8), multiply(sk_c4, sk_c3))),
% 0.71/0.88 inference(symmetry,[status(thm)],[1040])).
% 0.71/0.88 tff(1042,plain,
% 0.71/0.88 (multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c3, multiply(sk_c2, sk_c7)), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.71/0.88 inference(symmetry,[status(thm)],[1003])).
% 0.71/0.88 tff(1043,plain,
% 0.71/0.88 (multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c3, multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 0.71/0.88 inference(transitivity,[status(thm)],[1042, 1005])).
% 0.71/0.88 tff(1044,plain,
% 0.71/0.88 (multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(sk_c4, sk_c3)) = multiply(multiply(sk_c3, multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8)))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3))),
% 0.71/0.88 inference(monotonicity,[status(thm)],[1043, 962])).
% 0.71/0.88 tff(1045,plain,
% 0.71/0.88 (multiply(multiply(sk_c3, multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8)))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)) = multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(sk_c4, sk_c3))),
% 0.71/0.88 inference(symmetry,[status(thm)],[1044])).
% 0.71/0.88 tff(1046,plain,
% 0.71/0.88 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8)))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)) = multiply(sk_c3, multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3))))),
% 0.71/0.88 inference(quant_inst,[status(thm)],[])).
% 0.71/0.88 tff(1047,plain,
% 0.71/0.88 (multiply(multiply(sk_c3, multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8)))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)) = multiply(sk_c3, multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)))),
% 0.71/0.88 inference(unit_resolution,[status(thm)],[1046, 46])).
% 0.71/0.88 tff(1048,plain,
% 0.71/0.88 (multiply(sk_c3, multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3))) = multiply(multiply(sk_c3, multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8)))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3))),
% 0.71/0.88 inference(symmetry,[status(thm)],[1047])).
% 0.71/0.88 tff(1049,plain,
% 0.71/0.88 (multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)) = sk_c8),
% 0.71/0.88 inference(transitivity,[status(thm)],[985, 959, 956, 858, 811, 853, 807, 850, 651])).
% 0.71/0.88 tff(1050,plain,
% 0.71/0.88 (multiply(sk_c3, multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3))) = multiply(sk_c3, sk_c8)),
% 0.71/0.88 inference(monotonicity,[status(thm)],[1049])).
% 0.71/0.88 tff(1051,plain,
% 0.71/0.88 (multiply(sk_c3, sk_c8) = multiply(sk_c3, multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)))),
% 0.71/0.88 inference(symmetry,[status(thm)],[1050])).
% 0.71/0.88 tff(1052,plain,
% 0.71/0.88 (sk_c7 = multiply(sk_c3, sk_c8)),
% 0.71/0.88 inference(symmetry,[status(thm)],[845])).
% 0.71/0.88 tff(1053,plain,
% 0.71/0.88 (multiply(multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)) = multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), sk_c3)),
% 0.71/0.88 inference(transitivity,[status(thm)],[904, 947, 951, 838, 1052, 1051, 1048, 1045, 1041, 1038, 1036, 1033])).
% 0.71/0.88 tff(1054,plain,
% 0.71/0.88 (multiply(multiply(multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)), multiply(sk_c2, multiply(sk_c8, sk_c8))) = multiply(multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), sk_c3), multiply(sk_c2, sk_c7))),
% 0.71/0.88 inference(monotonicity,[status(thm)],[1053, 878])).
% 0.71/0.88 tff(1055,plain,
% 0.71/0.88 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)), multiply(sk_c2, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))), multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(sk_c2, multiply(sk_c8, sk_c8)))))),
% 0.71/0.88 inference(quant_inst,[status(thm)],[])).
% 0.71/0.88 tff(1056,plain,
% 0.71/0.88 (multiply(multiply(multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)), multiply(sk_c2, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))), multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(sk_c2, multiply(sk_c8, sk_c8))))),
% 0.71/0.88 inference(unit_resolution,[status(thm)],[1055, 46])).
% 0.71/0.88 tff(1057,plain,
% 0.71/0.88 (multiply(multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))), multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(sk_c2, multiply(sk_c8, sk_c8)))) = multiply(multiply(multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3)), multiply(sk_c2, multiply(sk_c8, sk_c8)))),
% 0.71/0.88 inference(symmetry,[status(thm)],[1056])).
% 0.71/0.88 tff(1058,plain,
% 0.71/0.88 (multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(sk_c2, multiply(sk_c8, sk_c8))) = multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(sk_c2, sk_c7))),
% 0.71/0.88 inference(monotonicity,[status(thm)],[878])).
% 0.71/0.88 tff(1059,plain,
% 0.71/0.88 (multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(sk_c2, multiply(sk_c8, sk_c8)))),
% 0.71/0.88 inference(symmetry,[status(thm)],[1058])).
% 0.71/0.88 tff(1060,plain,
% 0.71/0.88 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(sk_c3, multiply(sk_c2, sk_c7))))),
% 0.71/0.88 inference(quant_inst,[status(thm)],[])).
% 0.71/0.88 tff(1061,plain,
% 0.71/0.88 (multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(sk_c3, multiply(sk_c2, sk_c7)))),
% 0.71/0.88 inference(unit_resolution,[status(thm)],[1060, 46])).
% 0.71/0.88 tff(1062,plain,
% 0.71/0.88 (multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(sk_c3, multiply(sk_c2, sk_c7))) = multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(sk_c2, sk_c7))),
% 0.71/0.88 inference(symmetry,[status(thm)],[1061])).
% 0.71/0.88 tff(1063,plain,
% 0.71/0.88 (multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(sk_c3, multiply(sk_c2, sk_c7))) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c7)),
% 0.71/0.88 inference(monotonicity,[status(thm)],[1002])).
% 0.71/0.88 tff(1064,plain,
% 0.71/0.88 (multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c7) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(sk_c3, multiply(sk_c2, sk_c7)))),
% 0.71/0.88 inference(symmetry,[status(thm)],[1063])).
% 0.71/0.88 tff(1065,plain,
% 0.71/0.88 (multiply(multiply(sk_c5, sk_c4), identity) = multiply(multiply(sk_c5, sk_c4), multiply(sk_c7, sk_c8))),
% 0.71/0.88 inference(monotonicity,[status(thm)],[798])).
% 0.71/0.88 tff(1066,plain,
% 0.71/0.88 (multiply(multiply(sk_c5, sk_c4), multiply(sk_c7, sk_c8)) = multiply(multiply(sk_c5, sk_c4), identity)),
% 0.71/0.88 inference(symmetry,[status(thm)],[1065])).
% 0.71/0.88 tff(1067,plain,
% 0.71/0.88 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, sk_c4), sk_c7), sk_c8) = multiply(multiply(sk_c5, sk_c4), multiply(sk_c7, sk_c8)))),
% 0.71/0.88 inference(quant_inst,[status(thm)],[])).
% 0.71/0.89 tff(1068,plain,
% 0.71/0.89 (multiply(multiply(multiply(sk_c5, sk_c4), sk_c7), sk_c8) = multiply(multiply(sk_c5, sk_c4), multiply(sk_c7, sk_c8))),
% 0.71/0.89 inference(unit_resolution,[status(thm)],[1067, 46])).
% 0.71/0.89 tff(1069,plain,
% 0.71/0.89 (multiply(sk_c5, multiply(sk_c4, sk_c7)) = multiply(sk_c5, sk_c8)),
% 0.71/0.89 inference(monotonicity,[status(thm)],[651])).
% 0.71/0.89 tff(1070,plain,
% 0.71/0.89 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c4), sk_c7) = multiply(sk_c5, multiply(sk_c4, sk_c7)))),
% 0.71/0.89 inference(quant_inst,[status(thm)],[])).
% 0.71/0.89 tff(1071,plain,
% 0.71/0.89 (multiply(multiply(sk_c5, sk_c4), sk_c7) = multiply(sk_c5, multiply(sk_c4, sk_c7))),
% 0.71/0.89 inference(unit_resolution,[status(thm)],[1070, 46])).
% 0.71/0.89 tff(1072,plain,
% 0.71/0.89 (multiply(multiply(sk_c5, sk_c4), sk_c7) = sk_c6),
% 0.71/0.89 inference(transitivity,[status(thm)],[1071, 1069, 542])).
% 0.71/0.89 tff(1073,plain,
% 0.71/0.89 (multiply(multiply(multiply(sk_c5, sk_c4), sk_c7), sk_c8) = multiply(sk_c6, sk_c8)),
% 0.71/0.89 inference(monotonicity,[status(thm)],[1072])).
% 0.71/0.89 tff(1074,plain,
% 0.71/0.89 (multiply(sk_c6, sk_c8) = multiply(multiply(multiply(sk_c5, sk_c4), sk_c7), sk_c8)),
% 0.71/0.89 inference(symmetry,[status(thm)],[1073])).
% 0.71/0.89 tff(1075,plain,
% 0.71/0.89 (multiply(sk_c5, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c5, sk_c4), identity)),
% 0.71/0.89 inference(transitivity,[status(thm)],[438, 859, 1074, 1068, 1066])).
% 0.71/0.89 tff(1076,plain,
% 0.71/0.89 (multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c7) = multiply(multiply(multiply(sk_c5, sk_c4), identity), multiply(sk_c8, sk_c8))),
% 0.71/0.89 inference(monotonicity,[status(thm)],[1075, 848])).
% 0.71/0.89 tff(1077,plain,
% 0.71/0.89 (multiply(multiply(multiply(sk_c5, sk_c4), identity), multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c7)),
% 0.71/0.89 inference(symmetry,[status(thm)],[1076])).
% 0.71/0.89 tff(1078,plain,
% 0.71/0.89 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, sk_c4), identity), multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c5, sk_c4), multiply(identity, multiply(sk_c8, sk_c8))))),
% 0.71/0.89 inference(quant_inst,[status(thm)],[])).
% 0.71/0.89 tff(1079,plain,
% 0.71/0.89 (multiply(multiply(multiply(sk_c5, sk_c4), identity), multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c5, sk_c4), multiply(identity, multiply(sk_c8, sk_c8)))),
% 0.71/0.89 inference(unit_resolution,[status(thm)],[1078, 46])).
% 0.71/0.89 tff(1080,plain,
% 0.71/0.89 (multiply(multiply(sk_c5, sk_c4), multiply(identity, multiply(sk_c8, sk_c8))) = multiply(multiply(multiply(sk_c5, sk_c4), identity), multiply(sk_c8, sk_c8))),
% 0.71/0.89 inference(symmetry,[status(thm)],[1079])).
% 0.71/0.89 tff(1081,plain,
% 0.71/0.89 (multiply(identity, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c8, sk_c4), sk_c7)),
% 0.71/0.89 inference(monotonicity,[status(thm)],[374, 855])).
% 0.71/0.89 tff(1082,plain,
% 0.71/0.89 (multiply(identity, multiply(sk_c8, sk_c8)) = sk_c7),
% 0.71/0.89 inference(transitivity,[status(thm)],[1081, 376, 9])).
% 0.71/0.89 tff(1083,plain,
% 0.71/0.89 (multiply(multiply(sk_c5, sk_c4), multiply(identity, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c5, sk_c4), sk_c7)),
% 0.71/0.89 inference(monotonicity,[status(thm)],[1082])).
% 0.71/0.89 tff(1084,plain,
% 0.71/0.89 (multiply(multiply(sk_c5, sk_c4), sk_c7) = multiply(multiply(sk_c5, sk_c4), multiply(identity, multiply(sk_c8, sk_c8)))),
% 0.71/0.89 inference(symmetry,[status(thm)],[1083])).
% 0.71/0.89 tff(1085,plain,
% 0.71/0.89 (multiply(sk_c5, multiply(sk_c4, sk_c7)) = multiply(multiply(sk_c5, sk_c4), sk_c7)),
% 0.71/0.89 inference(symmetry,[status(thm)],[1071])).
% 0.71/0.89 tff(1086,plain,
% 0.71/0.89 (multiply(sk_c5, sk_c8) = multiply(sk_c5, multiply(sk_c4, sk_c7))),
% 0.71/0.89 inference(symmetry,[status(thm)],[1069])).
% 0.71/0.89 tff(1087,plain,
% 0.71/0.89 (sk_c6 = multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(sk_c2, multiply(sk_c8, sk_c8)))),
% 0.71/0.89 inference(transitivity,[status(thm)],[603, 1086, 1085, 1084, 1080, 1077, 1064, 1062, 1059])).
% 0.71/0.89 tff(1088,plain,
% 0.71/0.89 (multiply(multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))), sk_c6) = multiply(multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))), multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c3), multiply(sk_c2, multiply(sk_c8, sk_c8))))),
% 0.71/0.89 inference(monotonicity,[status(thm)],[1087])).
% 0.71/0.89 tff(1089,plain,
% 0.71/0.89 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))), sk_c6) = multiply(sk_c2, multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), sk_c6)))),
% 0.71/0.89 inference(quant_inst,[status(thm)],[])).
% 0.71/0.89 tff(1090,plain,
% 0.71/0.89 (multiply(multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))), sk_c6) = multiply(sk_c2, multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), sk_c6))),
% 0.71/0.89 inference(unit_resolution,[status(thm)],[1089, 46])).
% 0.71/0.89 tff(1091,plain,
% 0.71/0.89 (multiply(sk_c2, multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), sk_c6)) = multiply(multiply(sk_c2, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8)))), sk_c6)),
% 0.71/0.89 inference(symmetry,[status(thm)],[1090])).
% 0.71/0.89 tff(1092,plain,
% 0.71/0.89 (multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(identity, sk_c8)),
% 0.71/0.89 inference(transitivity,[status(thm)],[861, 732, 871])).
% 0.71/0.89 tff(1093,plain,
% 0.71/0.89 (multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), sk_c6) = multiply(multiply(identity, sk_c8), sk_c6)),
% 0.71/0.89 inference(monotonicity,[status(thm)],[1092])).
% 0.71/0.89 tff(1094,plain,
% 0.71/0.89 (multiply(multiply(identity, sk_c8), sk_c6) = multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), sk_c6)),
% 0.71/0.89 inference(symmetry,[status(thm)],[1093])).
% 0.71/0.89 tff(1095,plain,
% 0.71/0.89 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c8), sk_c6) = multiply(identity, multiply(sk_c8, sk_c6)))),
% 0.71/0.89 inference(quant_inst,[status(thm)],[])).
% 0.71/0.89 tff(1096,plain,
% 0.71/0.89 (multiply(multiply(identity, sk_c8), sk_c6) = multiply(identity, multiply(sk_c8, sk_c6))),
% 0.71/0.89 inference(unit_resolution,[status(thm)],[1095, 46])).
% 0.71/0.89 tff(1097,plain,
% 0.71/0.89 (multiply(identity, multiply(sk_c8, sk_c6)) = multiply(multiply(identity, sk_c8), sk_c6)),
% 0.71/0.89 inference(symmetry,[status(thm)],[1096])).
% 0.71/0.89 tff(1098,plain,
% 0.71/0.89 (multiply(identity, multiply(sk_c8, sk_c6)) = multiply(multiply(sk_c8, sk_c4), sk_c7)),
% 0.71/0.89 inference(monotonicity,[status(thm)],[374, 218])).
% 0.71/0.89 tff(1099,plain,
% 0.71/0.89 (multiply(multiply(sk_c8, sk_c4), sk_c7) = multiply(identity, multiply(sk_c8, sk_c6))),
% 0.71/0.89 inference(symmetry,[status(thm)],[1098])).
% 0.71/0.89 tff(1100,plain,
% 0.71/0.89 (sk_c7 = multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), sk_c6)),
% 0.71/0.89 inference(transitivity,[status(thm)],[116, 375, 1099, 1097, 1094])).
% 0.71/0.89 tff(1101,plain,
% 0.71/0.89 (multiply(sk_c2, sk_c7) = multiply(sk_c2, multiply(multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c8))), sk_c6))),
% 0.71/0.89 inference(monotonicity,[status(thm)],[1100])).
% 0.71/0.89 tff(1102,plain,
% 0.71/0.89 (multiply(sk_c2, sk_c7) = sk_c8),
% 0.71/0.89 inference(transitivity,[status(thm)],[1101, 1091, 1088, 1057, 1054, 1029, 1027, 1026, 858, 811, 853, 807, 850, 651])).
% 0.71/0.89 tff(1103,plain,
% 0.71/0.89 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7),
% 0.71/0.89 inference(modus_ponens,[status(thm)],[1102, 1025])).
% 0.71/0.89 tff(1104,plain,
% 0.71/0.89 (sk_c3 = multiply(identity, sk_c3)),
% 0.71/0.89 inference(symmetry,[status(thm)],[950])).
% 0.71/0.89 tff(1105,plain,
% 0.71/0.89 (inverse(sk_c2) = sk_c8),
% 0.71/0.89 inference(transitivity,[status(thm)],[573, 1104, 918, 921, 942, 1044, 1047, 1050, 845, 953, 952, 948, 905, 902, 985, 959, 956, 858, 811, 853, 807, 850, 651])).
% 0.71/0.89 tff(1106,plain,
% 0.71/0.89 (inverse(sk_c8) = sk_c8),
% 0.71/0.89 inference(transitivity,[status(thm)],[307, 953, 952, 948, 905, 902, 985, 959, 956, 858, 811, 853, 807, 850, 651])).
% 0.71/0.89 tff(1107,plain,
% 0.71/0.89 (sk_c8 = sk_c7),
% 0.71/0.89 inference(transitivity,[status(thm)],[652, 849, 988, 852, 987, 857, 955, 958, 984, 901, 904, 947, 951, 838])).
% 0.71/0.89 tff(1108,plain,
% 0.71/0.89 (multiply(sk_c8, sk_c7) = multiply(inverse(sk_c8), sk_c8)),
% 0.71/0.89 inference(transitivity,[status(thm)],[882, 711, 885])).
% 0.71/0.89 tff(1109,plain,
% 0.71/0.89 ((multiply(sk_c8, sk_c7) = sk_c8) <=> (multiply(inverse(sk_c8), sk_c8) = sk_c7)),
% 0.71/0.89 inference(monotonicity,[status(thm)],[1108, 1107])).
% 0.71/0.89 tff(1110,plain,
% 0.71/0.89 ((multiply(inverse(sk_c8), sk_c8) = sk_c7) <=> (multiply(sk_c8, sk_c7) = sk_c8)),
% 0.71/0.89 inference(symmetry,[status(thm)],[1109])).
% 0.71/0.89 tff(1111,plain,
% 0.71/0.89 (multiply(inverse(sk_c8), sk_c8) = sk_c7),
% 0.71/0.89 inference(transitivity,[status(thm)],[864, 547, 868, 916, 915, 912, 1026, 955, 958, 984, 901, 904, 947, 951, 838])).
% 0.71/0.89 tff(1112,plain,
% 0.71/0.89 (multiply(sk_c8, sk_c7) = sk_c8),
% 0.71/0.89 inference(modus_ponens,[status(thm)],[1111, 1110])).
% 0.71/0.89 tff(1113,plain,
% 0.71/0.89 (((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c2), sk_c8) = sk_c7)) | (~(multiply(sk_c2, inverse(sk_c2)) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c2), sk_c8) = sk_c7)) | (~(multiply(sk_c2, inverse(sk_c2)) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)))),
% 0.71/0.89 inference(rewrite,[status(thm)],[])).
% 0.71/0.89 tff(1114,plain,
% 0.71/0.89 (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(inverse(sk_c2), sk_c8) = sk_c7)) | (~(multiply(sk_c2, inverse(sk_c2)) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c2), sk_c8) = sk_c7)) | (~(multiply(sk_c2, inverse(sk_c2)) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)))),
% 0.71/0.89 inference(rewrite,[status(thm)],[])).
% 0.71/0.89 tff(1115,plain,
% 0.71/0.89 (((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(inverse(sk_c2), sk_c8) = sk_c7)) | (~(multiply(sk_c2, inverse(sk_c2)) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c2), sk_c8) = sk_c7)) | (~(multiply(sk_c2, inverse(sk_c2)) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7))))),
% 0.71/0.89 inference(monotonicity,[status(thm)],[1114])).
% 0.71/0.89 tff(1116,plain,
% 0.71/0.89 (((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(inverse(sk_c2), sk_c8) = sk_c7)) | (~(multiply(sk_c2, inverse(sk_c2)) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c2), sk_c8) = sk_c7)) | (~(multiply(sk_c2, inverse(sk_c2)) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)))),
% 0.71/0.89 inference(transitivity,[status(thm)],[1115, 1113])).
% 0.71/0.89 tff(1117,plain,
% 0.71/0.89 ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(inverse(sk_c2), sk_c8) = sk_c7)) | (~(multiply(sk_c2, inverse(sk_c2)) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c8)))),
% 0.71/0.89 inference(quant_inst,[status(thm)],[])).
% 0.71/0.89 tff(1118,plain,
% 0.71/0.89 ((~![X4: $i, X3: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X5), sk_c8) = sk_c7)) | (~(multiply(X5, inverse(X5)) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c2), sk_c8) = sk_c7)) | (~(multiply(sk_c2, inverse(sk_c2)) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7))),
% 0.71/0.89 inference(modus_ponens,[status(thm)],[1117, 1116])).
% 0.71/0.89 tff(1119,plain,
% 0.71/0.89 ((~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c2), sk_c8) = sk_c7)) | (~(multiply(sk_c2, inverse(sk_c2)) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7))),
% 0.71/0.89 inference(unit_resolution,[status(thm)],[1118, 307, 160])).
% 0.71/0.89 tff(1120,plain,
% 0.71/0.89 ($false),
% 0.71/0.89 inference(unit_resolution,[status(thm)],[1119, 1112, 1106, 1105, 1103, 846, 839])).
% 0.71/0.89 % SZS output end Proof
% 0.71/0.89 % E exiting
%------------------------------------------------------------------------------