%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GRP385-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n011.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 05:07:41 AM UTC 2025
% Result : Unsatisfiable 0.22s 0.54s
% Output : Proof 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : GRP385-1 : TPTP v9.0.0. Released v2.5.0.
% 0.13/0.14 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Jun 19 16:00:26 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.22/0.54 % SZS status Unsatisfiable
% 0.22/0.54 % SZS output start Proof
% 0.22/0.54 tff(sk_c10_type, type, (
% 0.22/0.54 sk_c10: $i)).
% 0.22/0.54 tff(inverse_type, type, (
% 0.22/0.54 inverse: $i > $i)).
% 0.22/0.54 tff(multiply_type, type, (
% 0.22/0.54 multiply: ( $i * $i ) > $i)).
% 0.22/0.54 tff(sk_c8_type, type, (
% 0.22/0.54 sk_c8: $i)).
% 0.22/0.54 tff(sk_c9_type, type, (
% 0.22/0.54 sk_c9: $i)).
% 0.22/0.54 tff(identity_type, type, (
% 0.22/0.54 identity: $i)).
% 0.22/0.54 tff(sk_c3_type, type, (
% 0.22/0.54 sk_c3: $i)).
% 0.22/0.54 tff(sk_c4_type, type, (
% 0.22/0.54 sk_c4: $i)).
% 0.22/0.54 tff(sk_c7_type, type, (
% 0.22/0.54 sk_c7: $i)).
% 0.22/0.54 tff(sk_c1_type, type, (
% 0.22/0.54 sk_c1: $i)).
% 0.22/0.54 tff(sk_c5_type, type, (
% 0.22/0.54 sk_c5: $i)).
% 0.22/0.54 tff(sk_c6_type, type, (
% 0.22/0.54 sk_c6: $i)).
% 0.22/0.54 tff(sk_c2_type, type, (
% 0.22/0.54 sk_c2: $i)).
% 0.22/0.54 tff(1,plain,
% 0.22/0.54 (^[X: $i] : refl((multiply(identity, X) = X) <=> (multiply(identity, X) = X))),
% 0.22/0.54 inference(bind,[status(th)],[])).
% 0.22/0.54 tff(2,plain,
% 0.22/0.54 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 0.22/0.54 inference(quant_intro,[status(thm)],[1])).
% 0.22/0.54 tff(3,plain,
% 0.22/0.54 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(4,axiom,(![X: $i] : (multiply(identity, X) = X)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','left_identity')).
% 0.22/0.54 tff(5,plain,
% 0.22/0.54 (![X: $i] : (multiply(identity, X) = X)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.22/0.54 tff(6,plain,(
% 0.22/0.54 ![X: $i] : (multiply(identity, X) = X)),
% 0.22/0.54 inference(skolemize,[status(sab)],[5])).
% 0.22/0.54 tff(7,plain,
% 0.22/0.54 (![X: $i] : (multiply(identity, X) = X)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.22/0.54 tff(8,plain,
% 0.22/0.54 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c10) = sk_c10)),
% 0.22/0.54 inference(quant_inst,[status(thm)],[])).
% 0.22/0.54 tff(9,plain,
% 0.22/0.54 (multiply(identity, sk_c10) = sk_c10),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.22/0.54 tff(10,assumption,(~(multiply(sk_c9, sk_c8) = sk_c10)), introduced(assumption)).
% 0.22/0.54 tff(11,plain,
% 0.22/0.54 (((multiply(sk_c9, sk_c8) = sk_c10) | (inverse(sk_c3) = sk_c10)) <=> ((multiply(sk_c9, sk_c8) = sk_c10) | (inverse(sk_c3) = sk_c10))),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(12,axiom,((multiply(sk_c9, sk_c8) = sk_c10) | (inverse(sk_c3) = sk_c10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_4')).
% 0.22/0.54 tff(13,plain,
% 0.22/0.54 ((multiply(sk_c9, sk_c8) = sk_c10) | (inverse(sk_c3) = sk_c10)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.22/0.54 tff(14,plain,
% 0.22/0.54 ((multiply(sk_c9, sk_c8) = sk_c10) | (inverse(sk_c3) = sk_c10)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[13, 11])).
% 0.22/0.54 tff(15,plain,
% 0.22/0.54 ((multiply(sk_c9, sk_c8) = sk_c10) | (inverse(sk_c3) = sk_c10)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[14, 11])).
% 0.22/0.54 tff(16,plain,
% 0.22/0.54 ((multiply(sk_c9, sk_c8) = sk_c10) | (inverse(sk_c3) = sk_c10)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[15, 11])).
% 0.22/0.54 tff(17,plain,
% 0.22/0.54 ((multiply(sk_c9, sk_c8) = sk_c10) | (inverse(sk_c3) = sk_c10)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[16, 11])).
% 0.22/0.54 tff(18,plain,
% 0.22/0.54 (inverse(sk_c3) = sk_c10),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[17, 10])).
% 0.22/0.54 tff(19,plain,
% 0.22/0.54 (sk_c10 = inverse(sk_c3)),
% 0.22/0.54 inference(symmetry,[status(thm)],[18])).
% 0.22/0.54 tff(20,plain,
% 0.22/0.54 (multiply(sk_c10, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 0.22/0.54 inference(monotonicity,[status(thm)],[19])).
% 0.22/0.54 tff(21,plain,
% 0.22/0.54 (multiply(inverse(sk_c3), sk_c3) = multiply(sk_c10, sk_c3)),
% 0.22/0.54 inference(symmetry,[status(thm)],[20])).
% 0.22/0.54 tff(22,plain,
% 0.22/0.54 (^[X: $i] : refl((multiply(inverse(X), X) = identity) <=> (multiply(inverse(X), X) = identity))),
% 0.22/0.54 inference(bind,[status(th)],[])).
% 0.22/0.54 tff(23,plain,
% 0.22/0.54 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.22/0.54 inference(quant_intro,[status(thm)],[22])).
% 0.22/0.54 tff(24,plain,
% 0.22/0.54 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(25,axiom,(![X: $i] : (multiply(inverse(X), X) = identity)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','left_inverse')).
% 0.22/0.54 tff(26,plain,
% 0.22/0.54 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.22/0.54 tff(27,plain,(
% 0.22/0.54 ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.22/0.54 inference(skolemize,[status(sab)],[26])).
% 0.22/0.54 tff(28,plain,
% 0.22/0.54 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[27, 23])).
% 0.22/0.54 tff(29,plain,
% 0.22/0.54 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c3), sk_c3) = identity)),
% 0.22/0.54 inference(quant_inst,[status(thm)],[])).
% 0.22/0.54 tff(30,plain,
% 0.22/0.54 (multiply(inverse(sk_c3), sk_c3) = identity),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[29, 28])).
% 0.22/0.54 tff(31,plain,
% 0.22/0.54 (identity = multiply(inverse(sk_c3), sk_c3)),
% 0.22/0.54 inference(symmetry,[status(thm)],[30])).
% 0.22/0.54 tff(32,plain,
% 0.22/0.54 (identity = multiply(sk_c10, sk_c3)),
% 0.22/0.54 inference(transitivity,[status(thm)],[31, 21])).
% 0.22/0.54 tff(33,plain,
% 0.22/0.54 (multiply(identity, sk_c10) = multiply(multiply(sk_c10, sk_c3), sk_c10)),
% 0.22/0.54 inference(monotonicity,[status(thm)],[32])).
% 0.22/0.54 tff(34,plain,
% 0.22/0.54 (multiply(multiply(sk_c10, sk_c3), sk_c10) = multiply(identity, sk_c10)),
% 0.22/0.54 inference(symmetry,[status(thm)],[33])).
% 0.22/0.54 tff(35,plain,
% 0.22/0.54 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c10), sk_c10) = identity)),
% 0.22/0.54 inference(quant_inst,[status(thm)],[])).
% 0.22/0.54 tff(36,plain,
% 0.22/0.54 (multiply(inverse(sk_c10), sk_c10) = identity),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[35, 28])).
% 0.22/0.54 tff(37,plain,
% 0.22/0.54 ((inverse(sk_c10) = sk_c9) <=> (inverse(sk_c10) = sk_c9)),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(38,axiom,(inverse(sk_c10) = sk_c9), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_1')).
% 0.22/0.54 tff(39,plain,
% 0.22/0.54 (inverse(sk_c10) = sk_c9),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.22/0.54 tff(40,plain,
% 0.22/0.54 (sk_c9 = inverse(sk_c10)),
% 0.22/0.54 inference(symmetry,[status(thm)],[39])).
% 0.22/0.54 tff(41,plain,
% 0.22/0.54 (multiply(sk_c9, sk_c10) = multiply(inverse(sk_c10), sk_c10)),
% 0.22/0.54 inference(monotonicity,[status(thm)],[40])).
% 0.22/0.54 tff(42,plain,
% 0.22/0.54 (multiply(sk_c9, sk_c10) = multiply(sk_c10, sk_c3)),
% 0.22/0.54 inference(transitivity,[status(thm)],[41, 36, 31, 21])).
% 0.22/0.54 tff(43,plain,
% 0.22/0.54 (multiply(multiply(sk_c9, sk_c10), sk_c10) = multiply(multiply(sk_c10, sk_c3), sk_c10)),
% 0.22/0.54 inference(monotonicity,[status(thm)],[42])).
% 0.22/0.54 tff(44,plain,
% 0.22/0.54 (^[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))))),
% 0.22/0.54 inference(bind,[status(th)],[])).
% 0.22/0.54 tff(45,plain,
% 0.22/0.54 (![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)))),
% 0.22/0.54 inference(quant_intro,[status(thm)],[44])).
% 0.22/0.54 tff(46,plain,
% 0.22/0.54 (![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)))),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(47,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')).
% 0.22/0.54 tff(48,plain,
% 0.22/0.54 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[47, 46])).
% 0.22/0.54 tff(49,plain,(
% 0.22/0.54 ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.22/0.54 inference(skolemize,[status(sab)],[48])).
% 0.22/0.54 tff(50,plain,
% 0.22/0.54 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[49, 45])).
% 0.22/0.54 tff(51,plain,
% 0.22/0.54 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c9, sk_c10), sk_c10) = multiply(sk_c9, multiply(sk_c10, sk_c10)))),
% 0.22/0.54 inference(quant_inst,[status(thm)],[])).
% 0.22/0.54 tff(52,plain,
% 0.22/0.54 (multiply(multiply(sk_c9, sk_c10), sk_c10) = multiply(sk_c9, multiply(sk_c10, sk_c10))),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[51, 50])).
% 0.22/0.54 tff(53,plain,
% 0.22/0.54 (multiply(sk_c9, multiply(sk_c10, sk_c10)) = multiply(multiply(sk_c9, sk_c10), sk_c10)),
% 0.22/0.54 inference(symmetry,[status(thm)],[52])).
% 0.22/0.54 tff(54,plain,
% 0.22/0.54 (((multiply(sk_c9, sk_c8) = sk_c10) | (multiply(sk_c10, sk_c4) = sk_c9)) <=> ((multiply(sk_c9, sk_c8) = sk_c10) | (multiply(sk_c10, sk_c4) = sk_c9))),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(55,axiom,((multiply(sk_c9, sk_c8) = sk_c10) | (multiply(sk_c10, sk_c4) = sk_c9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_2')).
% 0.22/0.54 tff(56,plain,
% 0.22/0.54 ((multiply(sk_c9, sk_c8) = sk_c10) | (multiply(sk_c10, sk_c4) = sk_c9)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[55, 54])).
% 0.22/0.54 tff(57,plain,
% 0.22/0.54 ((multiply(sk_c9, sk_c8) = sk_c10) | (multiply(sk_c10, sk_c4) = sk_c9)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[56, 54])).
% 0.22/0.54 tff(58,plain,
% 0.22/0.54 ((multiply(sk_c9, sk_c8) = sk_c10) | (multiply(sk_c10, sk_c4) = sk_c9)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[57, 54])).
% 0.22/0.54 tff(59,plain,
% 0.22/0.54 ((multiply(sk_c9, sk_c8) = sk_c10) | (multiply(sk_c10, sk_c4) = sk_c9)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[58, 54])).
% 0.22/0.54 tff(60,plain,
% 0.22/0.54 ((multiply(sk_c9, sk_c8) = sk_c10) | (multiply(sk_c10, sk_c4) = sk_c9)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[59, 54])).
% 0.22/0.54 tff(61,plain,
% 0.22/0.54 (multiply(sk_c10, sk_c4) = sk_c9),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[60, 10])).
% 0.22/0.54 tff(62,plain,
% 0.22/0.54 (((multiply(sk_c9, sk_c8) = sk_c10) | (multiply(sk_c3, sk_c10) = sk_c4)) <=> ((multiply(sk_c9, sk_c8) = sk_c10) | (multiply(sk_c3, sk_c10) = sk_c4))),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(63,axiom,((multiply(sk_c9, sk_c8) = sk_c10) | (multiply(sk_c3, sk_c10) = sk_c4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_3')).
% 0.22/0.54 tff(64,plain,
% 0.22/0.54 ((multiply(sk_c9, sk_c8) = sk_c10) | (multiply(sk_c3, sk_c10) = sk_c4)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[63, 62])).
% 0.22/0.54 tff(65,plain,
% 0.22/0.54 ((multiply(sk_c9, sk_c8) = sk_c10) | (multiply(sk_c3, sk_c10) = sk_c4)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[64, 62])).
% 0.22/0.54 tff(66,plain,
% 0.22/0.54 ((multiply(sk_c9, sk_c8) = sk_c10) | (multiply(sk_c3, sk_c10) = sk_c4)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[65, 62])).
% 0.22/0.54 tff(67,plain,
% 0.22/0.54 ((multiply(sk_c9, sk_c8) = sk_c10) | (multiply(sk_c3, sk_c10) = sk_c4)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[66, 62])).
% 0.22/0.54 tff(68,plain,
% 0.22/0.54 ((multiply(sk_c9, sk_c8) = sk_c10) | (multiply(sk_c3, sk_c10) = sk_c4)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[67, 62])).
% 0.22/0.54 tff(69,plain,
% 0.22/0.54 (multiply(sk_c3, sk_c10) = sk_c4),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[68, 10])).
% 0.22/0.54 tff(70,plain,
% 0.22/0.54 (multiply(sk_c10, multiply(sk_c3, sk_c10)) = multiply(sk_c10, sk_c4)),
% 0.22/0.54 inference(monotonicity,[status(thm)],[69])).
% 0.22/0.54 tff(71,plain,
% 0.22/0.54 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c10, sk_c3), sk_c10) = multiply(sk_c10, multiply(sk_c3, sk_c10)))),
% 0.22/0.54 inference(quant_inst,[status(thm)],[])).
% 0.22/0.54 tff(72,plain,
% 0.22/0.54 (multiply(multiply(sk_c10, sk_c3), sk_c10) = multiply(sk_c10, multiply(sk_c3, sk_c10))),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[71, 50])).
% 0.22/0.54 tff(73,plain,
% 0.22/0.54 (sk_c10 = multiply(identity, sk_c10)),
% 0.22/0.54 inference(symmetry,[status(thm)],[9])).
% 0.22/0.54 tff(74,plain,
% 0.22/0.54 (sk_c10 = sk_c9),
% 0.22/0.54 inference(transitivity,[status(thm)],[73, 33, 72, 70, 61])).
% 0.22/0.54 tff(75,plain,
% 0.22/0.54 (sk_c10 = inverse(sk_c10)),
% 0.22/0.54 inference(transitivity,[status(thm)],[73, 33, 72, 70, 61, 40])).
% 0.22/0.54 tff(76,plain,
% 0.22/0.54 (multiply(sk_c10, sk_c10) = multiply(inverse(sk_c10), sk_c9)),
% 0.22/0.54 inference(monotonicity,[status(thm)],[75, 74])).
% 0.22/0.54 tff(77,plain,
% 0.22/0.54 (multiply(inverse(sk_c10), sk_c9) = multiply(sk_c10, sk_c10)),
% 0.22/0.54 inference(symmetry,[status(thm)],[76])).
% 0.22/0.54 tff(78,plain,
% 0.22/0.54 (multiply(sk_c10, multiply(sk_c3, sk_c10)) = multiply(multiply(sk_c10, sk_c3), sk_c10)),
% 0.22/0.54 inference(symmetry,[status(thm)],[72])).
% 0.22/0.54 tff(79,plain,
% 0.22/0.54 (multiply(sk_c10, sk_c4) = multiply(sk_c10, multiply(sk_c3, sk_c10))),
% 0.22/0.54 inference(symmetry,[status(thm)],[70])).
% 0.22/0.54 tff(80,plain,
% 0.22/0.54 (sk_c9 = multiply(sk_c10, sk_c4)),
% 0.22/0.54 inference(symmetry,[status(thm)],[61])).
% 0.22/0.54 tff(81,plain,
% 0.22/0.54 (sk_c9 = sk_c10),
% 0.22/0.54 inference(transitivity,[status(thm)],[80, 79, 78, 34, 9])).
% 0.22/0.54 tff(82,plain,
% 0.22/0.54 (multiply(inverse(sk_c10), sk_c9) = multiply(inverse(sk_c10), sk_c10)),
% 0.22/0.54 inference(monotonicity,[status(thm)],[81])).
% 0.22/0.54 tff(83,plain,
% 0.22/0.54 (multiply(inverse(sk_c10), sk_c10) = multiply(inverse(sk_c10), sk_c9)),
% 0.22/0.54 inference(symmetry,[status(thm)],[82])).
% 0.22/0.54 tff(84,plain,
% 0.22/0.54 (((multiply(sk_c9, sk_c8) = sk_c10) | (multiply(sk_c7, sk_c8) = sk_c10)) <=> ((multiply(sk_c9, sk_c8) = sk_c10) | (multiply(sk_c7, sk_c8) = sk_c10))),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(85,axiom,((multiply(sk_c9, sk_c8) = sk_c10) | (multiply(sk_c7, sk_c8) = sk_c10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_9')).
% 0.22/0.54 tff(86,plain,
% 0.22/0.54 ((multiply(sk_c9, sk_c8) = sk_c10) | (multiply(sk_c7, sk_c8) = sk_c10)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[85, 84])).
% 0.22/0.54 tff(87,plain,
% 0.22/0.54 ((multiply(sk_c9, sk_c8) = sk_c10) | (multiply(sk_c7, sk_c8) = sk_c10)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[86, 84])).
% 0.22/0.54 tff(88,plain,
% 0.22/0.54 ((multiply(sk_c9, sk_c8) = sk_c10) | (multiply(sk_c7, sk_c8) = sk_c10)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[87, 84])).
% 0.22/0.54 tff(89,plain,
% 0.22/0.54 ((multiply(sk_c9, sk_c8) = sk_c10) | (multiply(sk_c7, sk_c8) = sk_c10)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[88, 84])).
% 0.22/0.54 tff(90,plain,
% 0.22/0.54 ((multiply(sk_c9, sk_c8) = sk_c10) | (multiply(sk_c7, sk_c8) = sk_c10)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[89, 84])).
% 0.22/0.54 tff(91,plain,
% 0.22/0.54 (multiply(sk_c7, sk_c8) = sk_c10),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[90, 10])).
% 0.22/0.54 tff(92,plain,
% 0.22/0.54 (multiply(sk_c9, multiply(sk_c7, sk_c8)) = multiply(inverse(sk_c10), sk_c10)),
% 0.22/0.54 inference(monotonicity,[status(thm)],[40, 91])).
% 0.22/0.54 tff(93,plain,
% 0.22/0.54 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c9, sk_c7), sk_c8) = multiply(sk_c9, multiply(sk_c7, sk_c8)))),
% 0.22/0.54 inference(quant_inst,[status(thm)],[])).
% 0.22/0.54 tff(94,plain,
% 0.22/0.54 (multiply(multiply(sk_c9, sk_c7), sk_c8) = multiply(sk_c9, multiply(sk_c7, sk_c8))),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[93, 50])).
% 0.22/0.54 tff(95,plain,
% 0.22/0.54 (((multiply(sk_c9, sk_c8) = sk_c10) | (inverse(sk_c7) = sk_c10)) <=> ((multiply(sk_c9, sk_c8) = sk_c10) | (inverse(sk_c7) = sk_c10))),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(96,axiom,((multiply(sk_c9, sk_c8) = sk_c10) | (inverse(sk_c7) = sk_c10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_8')).
% 0.22/0.54 tff(97,plain,
% 0.22/0.54 ((multiply(sk_c9, sk_c8) = sk_c10) | (inverse(sk_c7) = sk_c10)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[96, 95])).
% 0.22/0.54 tff(98,plain,
% 0.22/0.54 ((multiply(sk_c9, sk_c8) = sk_c10) | (inverse(sk_c7) = sk_c10)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[97, 95])).
% 0.22/0.54 tff(99,plain,
% 0.22/0.54 ((multiply(sk_c9, sk_c8) = sk_c10) | (inverse(sk_c7) = sk_c10)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[98, 95])).
% 0.22/0.54 tff(100,plain,
% 0.22/0.54 ((multiply(sk_c9, sk_c8) = sk_c10) | (inverse(sk_c7) = sk_c10)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[99, 95])).
% 0.22/0.54 tff(101,plain,
% 0.22/0.54 ((multiply(sk_c9, sk_c8) = sk_c10) | (inverse(sk_c7) = sk_c10)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[100, 95])).
% 0.22/0.54 tff(102,plain,
% 0.22/0.54 (inverse(sk_c7) = sk_c10),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[101, 10])).
% 0.22/0.54 tff(103,plain,
% 0.22/0.54 (sk_c10 = inverse(sk_c7)),
% 0.22/0.54 inference(symmetry,[status(thm)],[102])).
% 0.22/0.54 tff(104,plain,
% 0.22/0.54 (sk_c9 = inverse(sk_c7)),
% 0.22/0.54 inference(transitivity,[status(thm)],[80, 79, 78, 34, 9, 103])).
% 0.22/0.54 tff(105,plain,
% 0.22/0.54 (multiply(sk_c9, sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 0.22/0.54 inference(monotonicity,[status(thm)],[104])).
% 0.22/0.54 tff(106,plain,
% 0.22/0.54 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c9, sk_c7)),
% 0.22/0.54 inference(symmetry,[status(thm)],[105])).
% 0.22/0.54 tff(107,plain,
% 0.22/0.54 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c7), sk_c7) = identity)),
% 0.22/0.54 inference(quant_inst,[status(thm)],[])).
% 0.22/0.54 tff(108,plain,
% 0.22/0.54 (multiply(inverse(sk_c7), sk_c7) = identity),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[107, 28])).
% 0.22/0.54 tff(109,plain,
% 0.22/0.54 (identity = multiply(inverse(sk_c7), sk_c7)),
% 0.22/0.54 inference(symmetry,[status(thm)],[108])).
% 0.22/0.54 tff(110,plain,
% 0.22/0.54 (identity = multiply(sk_c9, sk_c7)),
% 0.22/0.54 inference(transitivity,[status(thm)],[109, 106])).
% 0.22/0.54 tff(111,plain,
% 0.22/0.54 (multiply(identity, sk_c8) = multiply(multiply(sk_c9, sk_c7), sk_c8)),
% 0.22/0.54 inference(monotonicity,[status(thm)],[110])).
% 0.22/0.55 tff(112,plain,
% 0.22/0.55 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c8) = sk_c8)),
% 0.22/0.55 inference(quant_inst,[status(thm)],[])).
% 0.22/0.55 tff(113,plain,
% 0.22/0.55 (multiply(identity, sk_c8) = sk_c8),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[112, 7])).
% 0.22/0.55 tff(114,plain,
% 0.22/0.55 (sk_c8 = multiply(identity, sk_c8)),
% 0.22/0.55 inference(symmetry,[status(thm)],[113])).
% 0.22/0.55 tff(115,plain,
% 0.22/0.55 (sk_c8 = multiply(sk_c10, sk_c10)),
% 0.22/0.55 inference(transitivity,[status(thm)],[114, 111, 94, 92, 83, 77])).
% 0.22/0.55 tff(116,plain,
% 0.22/0.55 (multiply(sk_c9, sk_c8) = multiply(sk_c9, multiply(sk_c10, sk_c10))),
% 0.22/0.55 inference(monotonicity,[status(thm)],[115])).
% 0.22/0.55 tff(117,plain,
% 0.22/0.55 (multiply(sk_c9, sk_c8) = sk_c10),
% 0.22/0.55 inference(transitivity,[status(thm)],[116, 53, 43, 34, 9])).
% 0.22/0.55 tff(118,plain,
% 0.22/0.55 ($false),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[10, 117])).
% 0.22/0.55 tff(119,plain,(multiply(sk_c9, sk_c8) = sk_c10), inference(lemma,lemma(discharge,[]))).
% 0.22/0.55 tff(120,plain,
% 0.22/0.55 (multiply(sk_c9, sk_c9) = multiply(inverse(sk_c10), sk_c9)),
% 0.22/0.55 inference(monotonicity,[status(thm)],[40])).
% 0.22/0.55 tff(121,plain,
% 0.22/0.55 (multiply(inverse(sk_c10), sk_c9) = multiply(sk_c9, sk_c9)),
% 0.22/0.55 inference(symmetry,[status(thm)],[120])).
% 0.22/0.55 tff(122,assumption,(~(inverse(sk_c1) = sk_c10)), introduced(assumption)).
% 0.22/0.55 tff(123,plain,
% 0.22/0.55 (((inverse(sk_c1) = sk_c10) | (multiply(sk_c10, sk_c4) = sk_c9)) <=> ((inverse(sk_c1) = sk_c10) | (multiply(sk_c10, sk_c4) = sk_c9))),
% 0.22/0.55 inference(rewrite,[status(thm)],[])).
% 0.22/0.55 tff(124,axiom,((inverse(sk_c1) = sk_c10) | (multiply(sk_c10, sk_c4) = sk_c9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_34')).
% 0.22/0.55 tff(125,plain,
% 0.22/0.55 ((inverse(sk_c1) = sk_c10) | (multiply(sk_c10, sk_c4) = sk_c9)),
% 0.22/0.55 inference(modus_ponens,[status(thm)],[124, 123])).
% 0.22/0.55 tff(126,plain,
% 0.22/0.55 (multiply(sk_c10, sk_c4) = sk_c9),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[125, 122])).
% 0.22/0.55 tff(127,plain,
% 0.22/0.55 (((inverse(sk_c1) = sk_c10) | (multiply(sk_c3, sk_c10) = sk_c4)) <=> ((inverse(sk_c1) = sk_c10) | (multiply(sk_c3, sk_c10) = sk_c4))),
% 0.22/0.55 inference(rewrite,[status(thm)],[])).
% 0.22/0.55 tff(128,axiom,((inverse(sk_c1) = sk_c10) | (multiply(sk_c3, sk_c10) = sk_c4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_35')).
% 0.22/0.55 tff(129,plain,
% 0.22/0.55 ((inverse(sk_c1) = sk_c10) | (multiply(sk_c3, sk_c10) = sk_c4)),
% 0.22/0.55 inference(modus_ponens,[status(thm)],[128, 127])).
% 0.22/0.55 tff(130,plain,
% 0.22/0.55 (multiply(sk_c3, sk_c10) = sk_c4),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[129, 122])).
% 0.22/0.55 tff(131,plain,
% 0.22/0.55 (multiply(sk_c10, multiply(sk_c3, sk_c10)) = multiply(sk_c10, sk_c4)),
% 0.22/0.55 inference(monotonicity,[status(thm)],[130])).
% 0.22/0.55 tff(132,plain,
% 0.22/0.55 (((inverse(sk_c1) = sk_c10) | (inverse(sk_c3) = sk_c10)) <=> ((inverse(sk_c1) = sk_c10) | (inverse(sk_c3) = sk_c10))),
% 0.22/0.55 inference(rewrite,[status(thm)],[])).
% 0.22/0.55 tff(133,axiom,((inverse(sk_c1) = sk_c10) | (inverse(sk_c3) = sk_c10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_36')).
% 0.22/0.55 tff(134,plain,
% 0.22/0.55 ((inverse(sk_c1) = sk_c10) | (inverse(sk_c3) = sk_c10)),
% 0.22/0.55 inference(modus_ponens,[status(thm)],[133, 132])).
% 0.22/0.55 tff(135,plain,
% 0.22/0.55 (inverse(sk_c3) = sk_c10),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[134, 122])).
% 0.22/0.55 tff(136,plain,
% 0.22/0.55 (sk_c10 = inverse(sk_c3)),
% 0.22/0.55 inference(symmetry,[status(thm)],[135])).
% 0.22/0.55 tff(137,plain,
% 0.22/0.55 (multiply(sk_c10, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 0.22/0.55 inference(monotonicity,[status(thm)],[136])).
% 0.22/0.55 tff(138,plain,
% 0.22/0.55 (multiply(inverse(sk_c3), sk_c3) = multiply(sk_c10, sk_c3)),
% 0.22/0.55 inference(symmetry,[status(thm)],[137])).
% 0.22/0.55 tff(139,plain,
% 0.22/0.55 (identity = multiply(sk_c10, sk_c3)),
% 0.22/0.55 inference(transitivity,[status(thm)],[31, 138])).
% 0.22/0.55 tff(140,plain,
% 0.22/0.55 (multiply(identity, sk_c10) = multiply(multiply(sk_c10, sk_c3), sk_c10)),
% 0.22/0.55 inference(monotonicity,[status(thm)],[139])).
% 0.22/0.55 tff(141,plain,
% 0.22/0.55 (sk_c10 = sk_c9),
% 0.22/0.55 inference(transitivity,[status(thm)],[73, 140, 72, 131, 126])).
% 0.22/0.55 tff(142,plain,
% 0.22/0.55 (multiply(sk_c10, sk_c8) = multiply(sk_c9, sk_c8)),
% 0.22/0.55 inference(monotonicity,[status(thm)],[141])).
% 0.22/0.55 tff(143,plain,
% 0.22/0.55 (multiply(sk_c9, sk_c8) = multiply(sk_c10, sk_c8)),
% 0.22/0.55 inference(symmetry,[status(thm)],[142])).
% 0.22/0.55 tff(144,plain,
% 0.22/0.55 ((multiply(sk_c9, sk_c8) = sk_c10) <=> (multiply(sk_c10, sk_c8) = sk_c9)),
% 0.22/0.55 inference(monotonicity,[status(thm)],[143, 141])).
% 0.22/0.55 tff(145,plain,
% 0.22/0.55 ((multiply(sk_c10, sk_c8) = sk_c9) <=> (multiply(sk_c9, sk_c8) = sk_c10)),
% 0.22/0.55 inference(symmetry,[status(thm)],[144])).
% 0.22/0.55 tff(146,plain,
% 0.22/0.55 ((~(multiply(sk_c10, sk_c8) = sk_c9)) <=> (~(multiply(sk_c9, sk_c8) = sk_c10))),
% 0.22/0.55 inference(monotonicity,[status(thm)],[145])).
% 0.22/0.55 tff(147,plain,
% 0.22/0.55 (((inverse(sk_c1) = sk_c10) | (multiply(sk_c5, sk_c6) = sk_c8)) <=> ((inverse(sk_c1) = sk_c10) | (multiply(sk_c5, sk_c6) = sk_c8))),
% 0.22/0.55 inference(rewrite,[status(thm)],[])).
% 0.22/0.55 tff(148,axiom,((inverse(sk_c1) = sk_c10) | (multiply(sk_c5, sk_c6) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_37')).
% 0.22/0.55 tff(149,plain,
% 0.22/0.55 ((inverse(sk_c1) = sk_c10) | (multiply(sk_c5, sk_c6) = sk_c8)),
% 0.22/0.55 inference(modus_ponens,[status(thm)],[148, 147])).
% 0.22/0.55 tff(150,plain,
% 0.22/0.55 (multiply(sk_c5, sk_c6) = sk_c8),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[149, 122])).
% 0.22/0.55 tff(151,plain,
% 0.22/0.55 (((inverse(sk_c1) = sk_c10) | (inverse(sk_c5) = sk_c6)) <=> ((inverse(sk_c1) = sk_c10) | (inverse(sk_c5) = sk_c6))),
% 0.22/0.55 inference(rewrite,[status(thm)],[])).
% 0.22/0.55 tff(152,axiom,((inverse(sk_c1) = sk_c10) | (inverse(sk_c5) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_38')).
% 0.22/0.55 tff(153,plain,
% 0.22/0.55 ((inverse(sk_c1) = sk_c10) | (inverse(sk_c5) = sk_c6)),
% 0.22/0.55 inference(modus_ponens,[status(thm)],[152, 151])).
% 0.22/0.55 tff(154,plain,
% 0.22/0.55 (inverse(sk_c5) = sk_c6),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[153, 122])).
% 0.22/0.55 tff(155,plain,
% 0.22/0.55 (multiply(sk_c5, inverse(sk_c5)) = multiply(sk_c5, sk_c6)),
% 0.22/0.55 inference(monotonicity,[status(thm)],[154])).
% 0.22/0.55 tff(156,plain,
% 0.22/0.55 (multiply(sk_c5, inverse(sk_c5)) = sk_c8),
% 0.22/0.55 inference(transitivity,[status(thm)],[155, 150])).
% 0.22/0.55 tff(157,plain,
% 0.22/0.55 (((inverse(sk_c1) = sk_c10) | (multiply(sk_c6, sk_c9) = sk_c8)) <=> ((inverse(sk_c1) = sk_c10) | (multiply(sk_c6, sk_c9) = sk_c8))),
% 0.22/0.55 inference(rewrite,[status(thm)],[])).
% 0.22/0.55 tff(158,axiom,((inverse(sk_c1) = sk_c10) | (multiply(sk_c6, sk_c9) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_39')).
% 0.22/0.55 tff(159,plain,
% 0.22/0.55 ((inverse(sk_c1) = sk_c10) | (multiply(sk_c6, sk_c9) = sk_c8)),
% 0.22/0.55 inference(modus_ponens,[status(thm)],[158, 157])).
% 0.22/0.55 tff(160,plain,
% 0.22/0.55 (multiply(sk_c6, sk_c9) = sk_c8),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[159, 122])).
% 0.22/0.55 tff(161,plain,
% 0.22/0.55 (multiply(inverse(sk_c5), sk_c9) = multiply(sk_c6, sk_c9)),
% 0.22/0.55 inference(monotonicity,[status(thm)],[154])).
% 0.22/0.55 tff(162,plain,
% 0.22/0.55 (multiply(inverse(sk_c5), sk_c9) = sk_c8),
% 0.22/0.55 inference(transitivity,[status(thm)],[161, 160])).
% 0.22/0.55 tff(163,plain,
% 0.22/0.55 (multiply(multiply(sk_c10, sk_c3), sk_c10) = multiply(identity, sk_c10)),
% 0.22/0.55 inference(symmetry,[status(thm)],[140])).
% 0.22/0.55 tff(164,plain,
% 0.22/0.55 (multiply(sk_c9, sk_c10) = multiply(sk_c10, sk_c3)),
% 0.22/0.55 inference(transitivity,[status(thm)],[41, 36, 31, 138])).
% 0.22/0.55 tff(165,plain,
% 0.22/0.55 (multiply(multiply(sk_c9, sk_c10), sk_c10) = multiply(multiply(sk_c10, sk_c3), sk_c10)),
% 0.22/0.55 inference(monotonicity,[status(thm)],[164])).
% 0.22/0.55 tff(166,plain,
% 0.22/0.55 (sk_c10 = inverse(sk_c10)),
% 0.22/0.55 inference(transitivity,[status(thm)],[73, 140, 72, 131, 126, 40])).
% 0.22/0.55 tff(167,plain,
% 0.22/0.55 (multiply(sk_c10, sk_c10) = multiply(inverse(sk_c10), sk_c9)),
% 0.22/0.55 inference(monotonicity,[status(thm)],[166, 141])).
% 0.22/0.55 tff(168,plain,
% 0.22/0.55 (multiply(inverse(sk_c10), sk_c9) = multiply(sk_c10, sk_c10)),
% 0.22/0.55 inference(symmetry,[status(thm)],[167])).
% 0.22/0.55 tff(169,plain,
% 0.22/0.55 (multiply(sk_c10, sk_c4) = multiply(sk_c10, multiply(sk_c3, sk_c10))),
% 0.22/0.55 inference(symmetry,[status(thm)],[131])).
% 0.22/0.55 tff(170,plain,
% 0.22/0.55 (sk_c9 = multiply(sk_c10, sk_c4)),
% 0.22/0.55 inference(symmetry,[status(thm)],[126])).
% 0.22/0.55 tff(171,plain,
% 0.22/0.55 (sk_c9 = sk_c10),
% 0.22/0.55 inference(transitivity,[status(thm)],[170, 169, 78, 163, 9])).
% 0.22/0.55 tff(172,plain,
% 0.22/0.55 (multiply(inverse(sk_c10), sk_c9) = multiply(inverse(sk_c10), sk_c10)),
% 0.22/0.55 inference(monotonicity,[status(thm)],[171])).
% 0.22/0.55 tff(173,plain,
% 0.22/0.55 (multiply(inverse(sk_c10), sk_c10) = multiply(inverse(sk_c10), sk_c9)),
% 0.22/0.55 inference(symmetry,[status(thm)],[172])).
% 0.22/0.55 tff(174,plain,
% 0.22/0.55 (identity = multiply(inverse(sk_c10), sk_c10)),
% 0.22/0.55 inference(symmetry,[status(thm)],[36])).
% 0.22/0.55 tff(175,plain,
% 0.22/0.55 (((inverse(sk_c1) = sk_c10) | (inverse(sk_c7) = sk_c10)) <=> ((inverse(sk_c1) = sk_c10) | (inverse(sk_c7) = sk_c10))),
% 0.22/0.55 inference(rewrite,[status(thm)],[])).
% 0.22/0.55 tff(176,axiom,((inverse(sk_c1) = sk_c10) | (inverse(sk_c7) = sk_c10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_40')).
% 0.22/0.55 tff(177,plain,
% 0.22/0.55 ((inverse(sk_c1) = sk_c10) | (inverse(sk_c7) = sk_c10)),
% 0.22/0.55 inference(modus_ponens,[status(thm)],[176, 175])).
% 0.22/0.55 tff(178,plain,
% 0.22/0.55 (inverse(sk_c7) = sk_c10),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[177, 122])).
% 0.22/0.55 tff(179,plain,
% 0.22/0.55 (sk_c10 = inverse(sk_c7)),
% 0.22/0.55 inference(symmetry,[status(thm)],[178])).
% 0.22/0.55 tff(180,plain,
% 0.22/0.55 (sk_c9 = inverse(sk_c7)),
% 0.22/0.55 inference(transitivity,[status(thm)],[170, 169, 78, 163, 9, 179])).
% 0.22/0.55 tff(181,plain,
% 0.22/0.55 (multiply(sk_c9, sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 0.22/0.55 inference(monotonicity,[status(thm)],[180])).
% 0.22/0.55 tff(182,plain,
% 0.22/0.55 (multiply(multiply(sk_c10, sk_c4), sk_c7) = multiply(sk_c9, sk_c7)),
% 0.22/0.55 inference(monotonicity,[status(thm)],[126])).
% 0.22/0.55 tff(183,plain,
% 0.22/0.55 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c10, sk_c4), sk_c7) = multiply(sk_c10, multiply(sk_c4, sk_c7)))),
% 0.22/0.55 inference(quant_inst,[status(thm)],[])).
% 0.22/0.55 tff(184,plain,
% 0.22/0.55 (multiply(multiply(sk_c10, sk_c4), sk_c7) = multiply(sk_c10, multiply(sk_c4, sk_c7))),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[183, 50])).
% 0.22/0.55 tff(185,plain,
% 0.22/0.55 (multiply(sk_c10, multiply(sk_c4, sk_c7)) = multiply(multiply(sk_c10, sk_c4), sk_c7)),
% 0.22/0.55 inference(symmetry,[status(thm)],[184])).
% 0.22/0.55 tff(186,plain,
% 0.22/0.55 (multiply(sk_c9, multiply(sk_c4, sk_c7)) = multiply(sk_c10, multiply(sk_c4, sk_c7))),
% 0.22/0.55 inference(monotonicity,[status(thm)],[171])).
% 0.22/0.55 tff(187,plain,
% 0.22/0.55 (multiply(sk_c9, multiply(sk_c4, sk_c7)) = multiply(sk_c10, sk_c10)),
% 0.22/0.55 inference(transitivity,[status(thm)],[186, 185, 182, 181, 108, 174, 173, 168])).
% 0.22/0.55 tff(188,plain,
% 0.22/0.55 (multiply(sk_c9, multiply(sk_c9, multiply(sk_c4, sk_c7))) = multiply(sk_c9, multiply(sk_c10, sk_c10))),
% 0.22/0.55 inference(monotonicity,[status(thm)],[187])).
% 0.22/0.55 tff(189,plain,
% 0.22/0.55 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c9, sk_c9), multiply(sk_c4, sk_c7)) = multiply(sk_c9, multiply(sk_c9, multiply(sk_c4, sk_c7))))),
% 0.22/0.55 inference(quant_inst,[status(thm)],[])).
% 0.22/0.55 tff(190,plain,
% 0.22/0.55 (multiply(multiply(sk_c9, sk_c9), multiply(sk_c4, sk_c7)) = multiply(sk_c9, multiply(sk_c9, multiply(sk_c4, sk_c7)))),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[189, 50])).
% 0.22/0.55 tff(191,plain,
% 0.22/0.55 (identity = multiply(sk_c9, sk_c9)),
% 0.22/0.55 inference(transitivity,[status(thm)],[174, 173, 121])).
% 0.22/0.55 tff(192,plain,
% 0.22/0.55 (multiply(identity, multiply(sk_c4, sk_c7)) = multiply(multiply(sk_c9, sk_c9), multiply(sk_c4, sk_c7))),
% 0.22/0.55 inference(monotonicity,[status(thm)],[191])).
% 0.22/0.55 tff(193,plain,
% 0.22/0.55 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c4), sk_c7) = multiply(identity, multiply(sk_c4, sk_c7)))),
% 0.22/0.55 inference(quant_inst,[status(thm)],[])).
% 0.22/0.55 tff(194,plain,
% 0.22/0.55 (multiply(multiply(identity, sk_c4), sk_c7) = multiply(identity, multiply(sk_c4, sk_c7))),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[193, 50])).
% 0.22/0.55 tff(195,plain,
% 0.22/0.55 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c4) = sk_c4)),
% 0.22/0.55 inference(quant_inst,[status(thm)],[])).
% 0.22/0.55 tff(196,plain,
% 0.22/0.55 (multiply(identity, sk_c4) = sk_c4),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[195, 7])).
% 0.22/0.55 tff(197,plain,
% 0.22/0.55 (sk_c4 = multiply(identity, sk_c4)),
% 0.22/0.55 inference(symmetry,[status(thm)],[196])).
% 0.22/0.55 tff(198,plain,
% 0.22/0.55 (multiply(sk_c4, sk_c7) = multiply(multiply(identity, sk_c4), sk_c7)),
% 0.22/0.55 inference(monotonicity,[status(thm)],[197])).
% 0.22/0.55 tff(199,plain,
% 0.22/0.55 (((inverse(sk_c1) = sk_c10) | (multiply(sk_c7, sk_c8) = sk_c10)) <=> ((inverse(sk_c1) = sk_c10) | (multiply(sk_c7, sk_c8) = sk_c10))),
% 0.22/0.55 inference(rewrite,[status(thm)],[])).
% 0.22/0.55 tff(200,axiom,((inverse(sk_c1) = sk_c10) | (multiply(sk_c7, sk_c8) = sk_c10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_41')).
% 0.22/0.55 tff(201,plain,
% 0.22/0.55 ((inverse(sk_c1) = sk_c10) | (multiply(sk_c7, sk_c8) = sk_c10)),
% 0.22/0.55 inference(modus_ponens,[status(thm)],[200, 199])).
% 0.22/0.55 tff(202,plain,
% 0.22/0.55 (multiply(sk_c7, sk_c8) = sk_c10),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[201, 122])).
% 0.22/0.55 tff(203,plain,
% 0.22/0.55 (multiply(sk_c3, multiply(sk_c7, sk_c8)) = multiply(sk_c3, sk_c10)),
% 0.22/0.55 inference(monotonicity,[status(thm)],[202])).
% 0.22/0.55 tff(204,plain,
% 0.22/0.55 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c7), sk_c8) = multiply(sk_c3, multiply(sk_c7, sk_c8)))),
% 0.22/0.55 inference(quant_inst,[status(thm)],[])).
% 0.22/0.55 tff(205,plain,
% 0.22/0.55 (multiply(multiply(sk_c3, sk_c7), sk_c8) = multiply(sk_c3, multiply(sk_c7, sk_c8))),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[204, 50])).
% 0.22/0.55 tff(206,plain,
% 0.22/0.55 (multiply(multiply(sk_c3, sk_c7), sk_c8) = sk_c4),
% 0.22/0.55 inference(transitivity,[status(thm)],[205, 203, 130])).
% 0.22/0.55 tff(207,plain,
% 0.22/0.55 (multiply(multiply(multiply(sk_c3, sk_c7), sk_c8), sk_c7) = multiply(sk_c4, sk_c7)),
% 0.22/0.55 inference(monotonicity,[status(thm)],[206])).
% 0.22/0.55 tff(208,plain,
% 0.22/0.55 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, sk_c7), sk_c8), sk_c7) = multiply(multiply(sk_c3, sk_c7), multiply(sk_c8, sk_c7)))),
% 0.22/0.55 inference(quant_inst,[status(thm)],[])).
% 0.22/0.55 tff(209,plain,
% 0.22/0.55 (multiply(multiply(multiply(sk_c3, sk_c7), sk_c8), sk_c7) = multiply(multiply(sk_c3, sk_c7), multiply(sk_c8, sk_c7))),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[208, 50])).
% 0.22/0.55 tff(210,plain,
% 0.22/0.55 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c8, sk_c7)) = multiply(multiply(multiply(sk_c3, sk_c7), sk_c8), sk_c7)),
% 0.22/0.55 inference(symmetry,[status(thm)],[209])).
% 0.22/0.55 tff(211,plain,
% 0.22/0.55 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c7), multiply(sk_c8, sk_c7)) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c8, sk_c7))))),
% 0.22/0.55 inference(quant_inst,[status(thm)],[])).
% 0.22/0.55 tff(212,plain,
% 0.22/0.55 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c8, sk_c7)) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c8, sk_c7)))),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[211, 50])).
% 0.22/0.55 tff(213,plain,
% 0.22/0.55 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c8, sk_c7))) = multiply(multiply(sk_c3, sk_c7), multiply(sk_c8, sk_c7))),
% 0.22/0.55 inference(symmetry,[status(thm)],[212])).
% 0.22/0.55 tff(214,plain,
% 0.22/0.55 ((~![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)))),
% 0.22/0.55 inference(quant_inst,[status(thm)],[])).
% 0.22/0.55 tff(215,plain,
% 0.22/0.55 (multiply(multiply(sk_c7, sk_c8), sk_c7) = multiply(sk_c7, multiply(sk_c8, sk_c7))),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[214, 50])).
% 0.22/0.55 tff(216,plain,
% 0.22/0.55 (multiply(sk_c7, sk_c8) = inverse(sk_c7)),
% 0.22/0.55 inference(transitivity,[status(thm)],[202, 179])).
% 0.22/0.55 tff(217,plain,
% 0.22/0.55 (multiply(multiply(sk_c7, sk_c8), sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 0.22/0.55 inference(monotonicity,[status(thm)],[216])).
% 0.22/0.55 tff(218,plain,
% 0.22/0.55 (multiply(inverse(sk_c7), sk_c7) = multiply(multiply(sk_c7, sk_c8), sk_c7)),
% 0.22/0.55 inference(symmetry,[status(thm)],[217])).
% 0.22/0.55 tff(219,plain,
% 0.22/0.55 (multiply(sk_c10, sk_c10) = multiply(sk_c7, multiply(sk_c8, sk_c7))),
% 0.22/0.55 inference(transitivity,[status(thm)],[167, 172, 36, 109, 218, 215])).
% 0.22/0.55 tff(220,plain,
% 0.22/0.55 (multiply(sk_c3, multiply(sk_c10, sk_c10)) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c8, sk_c7)))),
% 0.22/0.55 inference(monotonicity,[status(thm)],[219])).
% 0.22/0.55 tff(221,plain,
% 0.22/0.55 (multiply(sk_c9, multiply(sk_c7, sk_c8)) = multiply(inverse(sk_c10), sk_c10)),
% 0.22/0.55 inference(monotonicity,[status(thm)],[40, 202])).
% 0.22/0.55 tff(222,plain,
% 0.22/0.55 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c9, sk_c7)),
% 0.22/0.55 inference(symmetry,[status(thm)],[181])).
% 0.22/0.55 tff(223,plain,
% 0.22/0.55 (identity = multiply(sk_c9, sk_c7)),
% 0.22/0.55 inference(transitivity,[status(thm)],[109, 222])).
% 0.22/0.55 tff(224,plain,
% 0.22/0.55 (multiply(identity, sk_c8) = multiply(multiply(sk_c9, sk_c7), sk_c8)),
% 0.22/0.55 inference(monotonicity,[status(thm)],[223])).
% 0.22/0.55 tff(225,plain,
% 0.22/0.55 (sk_c8 = multiply(sk_c10, sk_c10)),
% 0.22/0.55 inference(transitivity,[status(thm)],[114, 224, 94, 221, 173, 168])).
% 0.22/0.55 tff(226,plain,
% 0.22/0.55 (multiply(sk_c3, sk_c8) = multiply(sk_c3, multiply(sk_c10, sk_c10))),
% 0.22/0.55 inference(monotonicity,[status(thm)],[225])).
% 0.22/0.55 tff(227,plain,
% 0.22/0.55 (multiply(sk_c3, sk_c8) = sk_c10),
% 0.22/0.55 inference(transitivity,[status(thm)],[226, 220, 213, 210, 207, 198, 194, 192, 190, 188, 53, 165, 163, 9])).
% 0.22/0.55 tff(228,plain,
% 0.22/0.55 (multiply(sk_c10, multiply(sk_c10, sk_c10)) = multiply(sk_c9, multiply(sk_c10, sk_c10))),
% 0.22/0.55 inference(monotonicity,[status(thm)],[141])).
% 0.22/0.55 tff(229,plain,
% 0.22/0.55 (multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9),
% 0.22/0.55 inference(transitivity,[status(thm)],[228, 53, 165, 72, 131, 126])).
% 0.22/0.55 tff(230,plain,
% 0.22/0.55 (inverse(sk_c10) = sk_c10),
% 0.22/0.55 inference(transitivity,[status(thm)],[39, 170, 169, 78, 163, 9])).
% 0.22/0.55 tff(231,plain,
% 0.22/0.55 (multiply(sk_c9, sk_c8) = multiply(sk_c9, multiply(sk_c10, sk_c10))),
% 0.22/0.55 inference(monotonicity,[status(thm)],[225])).
% 0.22/0.55 tff(232,plain,
% 0.22/0.55 (multiply(sk_c9, sk_c8) = sk_c10),
% 0.22/0.55 inference(transitivity,[status(thm)],[231, 53, 165, 163, 9])).
% 0.22/0.55 tff(233,plain,
% 0.22/0.55 (^[X4: $i, X2: $i, X7: $i, X5: $i] : refl(((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9))) <=> ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9))))),
% 0.22/0.55 inference(bind,[status(th)],[])).
% 0.22/0.55 tff(234,plain,
% 0.22/0.55 (![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9))) <=> ![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))),
% 0.22/0.55 inference(quant_intro,[status(thm)],[233])).
% 0.22/0.55 tff(235,plain,
% 0.22/0.55 (![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9))) <=> ![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))),
% 0.22/0.55 inference(rewrite,[status(thm)],[])).
% 0.22/0.55 tff(236,plain,
% 0.22/0.55 (^[X4: $i, X2: $i, X7: $i, X5: $i] : rewrite(((~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(inverse(X2) = sk_c10)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)) | (~(inverse(X4) = sk_c10))) <=> ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9))))),
% 0.22/0.55 inference(bind,[status(th)],[])).
% 0.22/0.55 tff(237,plain,
% 0.22/0.55 (![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(inverse(X2) = sk_c10)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)) | (~(inverse(X4) = sk_c10))) <=> ![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))),
% 0.22/0.55 inference(quant_intro,[status(thm)],[236])).
% 0.22/0.55 tff(238,plain,
% 0.22/0.55 (![X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(inverse(X2) = sk_c10)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)) | (~(inverse(X4) = sk_c10))) <=> ![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(inverse(X2) = sk_c10)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)) | (~(inverse(X4) = sk_c10)))),
% 0.22/0.55 inference(elim_unused_vars,[status(thm)],[])).
% 0.22/0.55 tff(239,plain,
% 0.22/0.55 (![X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(X6, sk_c9) = sk_c8)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X2) = sk_c10)) | (~(multiply(X2, sk_c10) = X1)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(inverse(X2) = sk_c10)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)) | (~(inverse(X4) = sk_c10)))),
% 0.22/0.55 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.22/0.56 tff(240,plain,
% 0.22/0.56 (![X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(X6, sk_c9) = sk_c8)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X2) = sk_c10)) | (~(multiply(X2, sk_c10) = X1)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9))) <=> ![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(inverse(X2) = sk_c10)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)) | (~(inverse(X4) = sk_c10)))),
% 0.22/0.56 inference(transitivity,[status(thm)],[239, 238])).
% 0.22/0.56 tff(241,plain,
% 0.22/0.56 (![X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(X6, sk_c9) = sk_c8)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X2) = sk_c10)) | (~(multiply(X2, sk_c10) = X1)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9))) <=> ![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))),
% 0.22/0.56 inference(transitivity,[status(thm)],[240, 237])).
% 0.22/0.56 tff(242,plain,
% 0.22/0.56 (^[X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10))) | (~(multiply(sk_c10, sk_c8) = sk_c9))) <=> ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)))), (((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10))) | (~(multiply(sk_c10, sk_c8) = sk_c9))) | (~(multiply(sk_c10, X3) = sk_c9))) <=> (((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9))) | (~(multiply(sk_c10, X3) = sk_c9))))), rewrite((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9))) | (~(multiply(sk_c10, X3) = sk_c9))) <=> ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(sk_c10, X3) = sk_c9)))), (((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10))) | (~(multiply(sk_c10, sk_c8) = sk_c9))) | (~(multiply(sk_c10, X3) = sk_c9))) <=> ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(sk_c10, X3) = sk_c9))))), ((((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10))) | (~(multiply(sk_c10, sk_c8) = sk_c9))) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X4, sk_c10) = X3))) <=> (((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X4, sk_c10) = X3))))), rewrite((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X4, sk_c10) = X3))) <=> ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9)))), ((((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10))) | (~(multiply(sk_c10, sk_c8) = sk_c9))) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X4, sk_c10) = X3))) <=> ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9))))), (((((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10))) | (~(multiply(sk_c10, sk_c8) = sk_c9))) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X4, sk_c10) = X3))) | (~(inverse(X4) = sk_c10))) <=> (((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(inverse(X4) = sk_c10))))), rewrite((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(inverse(X4) = sk_c10))) <=> ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9)))), (((((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10))) | (~(multiply(sk_c10, sk_c8) = sk_c9))) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X4, sk_c10) = X3))) | (~(inverse(X4) = sk_c10))) <=> ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9))))), ((((((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10))) | (~(multiply(sk_c10, sk_c8) = sk_c9))) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X4, sk_c10) = X3))) | (~(inverse(X4) = sk_c10))) | (~(multiply(sk_c10, X1) = sk_c9))) <=> (((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(sk_c10, X1) = sk_c9))))), rewrite((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(sk_c10, X1) = sk_c9))) <=> ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9)))), ((((((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10))) | (~(multiply(sk_c10, sk_c8) = sk_c9))) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X4, sk_c10) = X3))) | (~(inverse(X4) = sk_c10))) | (~(multiply(sk_c10, X1) = sk_c9))) <=> ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9))))), (((((((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10))) | (~(multiply(sk_c10, sk_c8) = sk_c9))) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X4, sk_c10) = X3))) | (~(inverse(X4) = sk_c10))) | (~(multiply(sk_c10, X1) = sk_c9))) | (~(multiply(X2, sk_c10) = X1))) <=> (((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X2, sk_c10) = X1))))), rewrite((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X2, sk_c10) = X1))) <=> ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(X2, sk_c10) = X1)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9)))), (((((((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10))) | (~(multiply(sk_c10, sk_c8) = sk_c9))) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X4, sk_c10) = X3))) | (~(inverse(X4) = sk_c10))) | (~(multiply(sk_c10, X1) = sk_c9))) | (~(multiply(X2, sk_c10) = X1))) <=> ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(X2, sk_c10) = X1)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9))))), ((((((((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10))) | (~(multiply(sk_c10, sk_c8) = sk_c9))) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X4, sk_c10) = X3))) | (~(inverse(X4) = sk_c10))) | (~(multiply(sk_c10, X1) = sk_c9))) | (~(multiply(X2, sk_c10) = X1))) | (~(inverse(X2) = sk_c10))) <=> (((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(X2, sk_c10) = X1)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(inverse(X2) = sk_c10))))), rewrite((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(X2, sk_c10) = X1)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(inverse(X2) = sk_c10))) <=> ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(multiply(X2, sk_c10) = X1)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9)))), ((((((((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10))) | (~(multiply(sk_c10, sk_c8) = sk_c9))) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X4, sk_c10) = X3))) | (~(inverse(X4) = sk_c10))) | (~(multiply(sk_c10, X1) = sk_c9))) | (~(multiply(X2, sk_c10) = X1))) | (~(inverse(X2) = sk_c10))) <=> ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(multiply(X2, sk_c10) = X1)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9))))), (((((((((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10))) | (~(multiply(sk_c10, sk_c8) = sk_c9))) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X4, sk_c10) = X3))) | (~(inverse(X4) = sk_c10))) | (~(multiply(sk_c10, X1) = sk_c9))) | (~(multiply(X2, sk_c10) = X1))) | (~(inverse(X2) = sk_c10))) | (~(multiply(X5, X6) = sk_c8))) <=> (((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(multiply(X2, sk_c10) = X1)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X5, X6) = sk_c8))))), rewrite((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(multiply(X2, sk_c10) = X1)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X5, X6) = sk_c8))) <=> ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X2) = sk_c10)) | (~(multiply(X2, sk_c10) = X1)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9)))), (((((((((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10))) | (~(multiply(sk_c10, sk_c8) = sk_c9))) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X4, sk_c10) = X3))) | (~(inverse(X4) = sk_c10))) | (~(multiply(sk_c10, X1) = sk_c9))) | (~(multiply(X2, sk_c10) = X1))) | (~(inverse(X2) = sk_c10))) | (~(multiply(X5, X6) = sk_c8))) <=> ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X2) = sk_c10)) | (~(multiply(X2, sk_c10) = X1)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9))))), ((((((((((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10))) | (~(multiply(sk_c10, sk_c8) = sk_c9))) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X4, sk_c10) = X3))) | (~(inverse(X4) = sk_c10))) | (~(multiply(sk_c10, X1) = sk_c9))) | (~(multiply(X2, sk_c10) = X1))) | (~(inverse(X2) = sk_c10))) | (~(multiply(X5, X6) = sk_c8))) | (~(inverse(X5) = X6))) <=> (((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X2) = sk_c10)) | (~(multiply(X2, sk_c10) = X1)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(inverse(X5) = X6))))), rewrite((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X2) = sk_c10)) | (~(multiply(X2, sk_c10) = X1)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(inverse(X5) = X6))) <=> ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X2) = sk_c10)) | (~(multiply(X2, sk_c10) = X1)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9)))), ((((((((((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10))) | (~(multiply(sk_c10, sk_c8) = sk_c9))) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X4, sk_c10) = X3))) | (~(inverse(X4) = sk_c10))) | (~(multiply(sk_c10, X1) = sk_c9))) | (~(multiply(X2, sk_c10) = X1))) | (~(inverse(X2) = sk_c10))) | (~(multiply(X5, X6) = sk_c8))) | (~(inverse(X5) = X6))) <=> ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X2) = sk_c10)) | (~(multiply(X2, sk_c10) = X1)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9))))), (((((((((((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10))) | (~(multiply(sk_c10, sk_c8) = sk_c9))) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X4, sk_c10) = X3))) | (~(inverse(X4) = sk_c10))) | (~(multiply(sk_c10, X1) = sk_c9))) | (~(multiply(X2, sk_c10) = X1))) | (~(inverse(X2) = sk_c10))) | (~(multiply(X5, X6) = sk_c8))) | (~(inverse(X5) = X6))) | (~(multiply(X6, sk_c9) = sk_c8))) <=> (((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X2) = sk_c10)) | (~(multiply(X2, sk_c10) = X1)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X6, sk_c9) = sk_c8))))), rewrite((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X2) = sk_c10)) | (~(multiply(X2, sk_c10) = X1)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X6, sk_c9) = sk_c8))) <=> ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(X6, sk_c9) = sk_c8)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X2) = sk_c10)) | (~(multiply(X2, sk_c10) = X1)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9)))), (((((((((((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10))) | (~(multiply(sk_c10, sk_c8) = sk_c9))) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X4, sk_c10) = X3))) | (~(inverse(X4) = sk_c10))) | (~(multiply(sk_c10, X1) = sk_c9))) | (~(multiply(X2, sk_c10) = X1))) | (~(inverse(X2) = sk_c10))) | (~(multiply(X5, X6) = sk_c8))) | (~(inverse(X5) = X6))) | (~(multiply(X6, sk_c9) = sk_c8))) <=> ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(X6, sk_c9) = sk_c8)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X2) = sk_c10)) | (~(multiply(X2, sk_c10) = X1)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9))))), ((((((((((((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10))) | (~(multiply(sk_c10, sk_c8) = sk_c9))) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X4, sk_c10) = X3))) | (~(inverse(X4) = sk_c10))) | (~(multiply(sk_c10, X1) = sk_c9))) | (~(multiply(X2, sk_c10) = X1))) | (~(inverse(X2) = sk_c10))) | (~(multiply(X5, X6) = sk_c8))) | (~(inverse(X5) = X6))) | (~(multiply(X6, sk_c9) = sk_c8))) | (~(inverse(X7) = sk_c10))) <=> (((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(X6, sk_c9) = sk_c8)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X2) = sk_c10)) | (~(multiply(X2, sk_c10) = X1)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(inverse(X7) = sk_c10))))), rewrite((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(X6, sk_c9) = sk_c8)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X2) = sk_c10)) | (~(multiply(X2, sk_c10) = X1)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(inverse(X7) = sk_c10))) <=> ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X7) = sk_c10)) | (~(multiply(X6, sk_c9) = sk_c8)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X2) = sk_c10)) | (~(multiply(X2, sk_c10) = X1)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9)))), ((((((((((((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10))) | (~(multiply(sk_c10, sk_c8) = sk_c9))) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X4, sk_c10) = X3))) | (~(inverse(X4) = sk_c10))) | (~(multiply(sk_c10, X1) = sk_c9))) | (~(multiply(X2, sk_c10) = X1))) | (~(inverse(X2) = sk_c10))) | (~(multiply(X5, X6) = sk_c8))) | (~(inverse(X5) = X6))) | (~(multiply(X6, sk_c9) = sk_c8))) | (~(inverse(X7) = sk_c10))) <=> ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X7) = sk_c10)) | (~(multiply(X6, sk_c9) = sk_c8)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X2) = sk_c10)) | (~(multiply(X2, sk_c10) = X1)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9))))), (((((((((((((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10))) | (~(multiply(sk_c10, sk_c8) = sk_c9))) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X4, sk_c10) = X3))) | (~(inverse(X4) = sk_c10))) | (~(multiply(sk_c10, X1) = sk_c9))) | (~(multiply(X2, sk_c10) = X1))) | (~(inverse(X2) = sk_c10))) | (~(multiply(X5, X6) = sk_c8))) | (~(inverse(X5) = X6))) | (~(multiply(X6, sk_c9) = sk_c8))) | (~(inverse(X7) = sk_c10))) | (~(multiply(X7, sk_c8) = sk_c10))) <=> (((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X7) = sk_c10)) | (~(multiply(X6, sk_c9) = sk_c8)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X2) = sk_c10)) | (~(multiply(X2, sk_c10) = X1)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X7, sk_c8) = sk_c10))))), rewrite((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X7) = sk_c10)) | (~(multiply(X6, sk_c9) = sk_c8)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X2) = sk_c10)) | (~(multiply(X2, sk_c10) = X1)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X7, sk_c8) = sk_c10))) <=> ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(X6, sk_c9) = sk_c8)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X2) = sk_c10)) | (~(multiply(X2, sk_c10) = X1)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9)))), (((((((((((((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10))) | (~(multiply(sk_c10, sk_c8) = sk_c9))) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X4, sk_c10) = X3))) | (~(inverse(X4) = sk_c10))) | (~(multiply(sk_c10, X1) = sk_c9))) | (~(multiply(X2, sk_c10) = X1))) | (~(inverse(X2) = sk_c10))) | (~(multiply(X5, X6) = sk_c8))) | (~(inverse(X5) = X6))) | (~(multiply(X6, sk_c9) = sk_c8))) | (~(inverse(X7) = sk_c10))) | (~(multiply(X7, sk_c8) = sk_c10))) <=> ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(X6, sk_c9) = sk_c8)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X2) = sk_c10)) | (~(multiply(X2, sk_c10) = X1)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9)))))),
% 0.40/0.57 inference(bind,[status(th)],[])).
% 0.40/0.57 tff(243,plain,
% 0.40/0.57 (![X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((((((((((((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10))) | (~(multiply(sk_c10, sk_c8) = sk_c9))) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X4, sk_c10) = X3))) | (~(inverse(X4) = sk_c10))) | (~(multiply(sk_c10, X1) = sk_c9))) | (~(multiply(X2, sk_c10) = X1))) | (~(inverse(X2) = sk_c10))) | (~(multiply(X5, X6) = sk_c8))) | (~(inverse(X5) = X6))) | (~(multiply(X6, sk_c9) = sk_c8))) | (~(inverse(X7) = sk_c10))) | (~(multiply(X7, sk_c8) = sk_c10))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(X6, sk_c9) = sk_c8)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X2) = sk_c10)) | (~(multiply(X2, sk_c10) = X1)) | (~(multiply(sk_c10, X1) = sk_c9)) | (~(inverse(X4) = sk_c10)) | (~(multiply(X4, sk_c10) = X3)) | (~(multiply(sk_c10, X3) = sk_c9)))),
% 0.40/0.57 inference(quant_intro,[status(thm)],[242])).
% 0.40/0.57 tff(244,plain,
% 0.40/0.57 (![X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((((((((((((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10))) | (~(multiply(sk_c10, sk_c8) = sk_c9))) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X4, sk_c10) = X3))) | (~(inverse(X4) = sk_c10))) | (~(multiply(sk_c10, X1) = sk_c9))) | (~(multiply(X2, sk_c10) = X1))) | (~(inverse(X2) = sk_c10))) | (~(multiply(X5, X6) = sk_c8))) | (~(inverse(X5) = X6))) | (~(multiply(X6, sk_c9) = sk_c8))) | (~(inverse(X7) = sk_c10))) | (~(multiply(X7, sk_c8) = sk_c10))) <=> ![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))),
% 0.40/0.57 inference(transitivity,[status(thm)],[243, 241])).
% 0.40/0.57 tff(245,axiom,(![X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((((((((((((((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10))) | (~(multiply(sk_c10, sk_c8) = sk_c9))) | (~(multiply(sk_c10, X3) = sk_c9))) | (~(multiply(X4, sk_c10) = X3))) | (~(inverse(X4) = sk_c10))) | (~(multiply(sk_c10, X1) = sk_c9))) | (~(multiply(X2, sk_c10) = X1))) | (~(inverse(X2) = sk_c10))) | (~(multiply(X5, X6) = sk_c8))) | (~(inverse(X5) = X6))) | (~(multiply(X6, sk_c9) = sk_c8))) | (~(inverse(X7) = sk_c10))) | (~(multiply(X7, sk_c8) = sk_c10)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_42')).
% 0.40/0.57 tff(246,plain,
% 0.40/0.57 (![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))),
% 0.40/0.57 inference(modus_ponens,[status(thm)],[245, 244])).
% 0.40/0.57 tff(247,plain,
% 0.40/0.57 (![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))),
% 0.40/0.57 inference(modus_ponens,[status(thm)],[246, 235])).
% 0.40/0.57 tff(248,plain,(
% 0.40/0.57 ![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))),
% 0.40/0.57 inference(skolemize,[status(sab)],[247])).
% 0.40/0.57 tff(249,plain,
% 0.40/0.57 (![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))),
% 0.40/0.57 inference(modus_ponens,[status(thm)],[248, 234])).
% 0.40/0.57 tff(250,plain,
% 0.40/0.57 (((~![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))) | ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(sk_c3, sk_c8) = sk_c10)) | (~(inverse(sk_c3) = sk_c10)) | (~(multiply(inverse(sk_c5), sk_c9) = sk_c8)) | (~(multiply(sk_c5, inverse(sk_c5)) = sk_c8)))) <=> ((~![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))) | (~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(sk_c3, sk_c8) = sk_c10)) | (~(inverse(sk_c3) = sk_c10)) | (~(multiply(inverse(sk_c5), sk_c9) = sk_c8)) | (~(multiply(sk_c5, inverse(sk_c5)) = sk_c8)))),
% 0.40/0.57 inference(rewrite,[status(thm)],[])).
% 0.40/0.57 tff(251,plain,
% 0.40/0.57 (((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(sk_c3, sk_c8) = sk_c10)) | (~(inverse(sk_c3) = sk_c10)) | (~(multiply(inverse(sk_c5), sk_c9) = sk_c8)) | (~(multiply(sk_c5, inverse(sk_c5)) = sk_c8)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9))) <=> ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(sk_c3, sk_c8) = sk_c10)) | (~(inverse(sk_c3) = sk_c10)) | (~(multiply(inverse(sk_c5), sk_c9) = sk_c8)) | (~(multiply(sk_c5, inverse(sk_c5)) = sk_c8)))),
% 0.40/0.57 inference(rewrite,[status(thm)],[])).
% 0.40/0.57 tff(252,plain,
% 0.40/0.57 (((~![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))) | ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(sk_c3, sk_c8) = sk_c10)) | (~(inverse(sk_c3) = sk_c10)) | (~(multiply(inverse(sk_c5), sk_c9) = sk_c8)) | (~(multiply(sk_c5, inverse(sk_c5)) = sk_c8)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)))) <=> ((~![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))) | ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(sk_c3, sk_c8) = sk_c10)) | (~(inverse(sk_c3) = sk_c10)) | (~(multiply(inverse(sk_c5), sk_c9) = sk_c8)) | (~(multiply(sk_c5, inverse(sk_c5)) = sk_c8))))),
% 0.40/0.57 inference(monotonicity,[status(thm)],[251])).
% 0.40/0.57 tff(253,plain,
% 0.40/0.57 (((~![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))) | ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(sk_c3, sk_c8) = sk_c10)) | (~(inverse(sk_c3) = sk_c10)) | (~(multiply(inverse(sk_c5), sk_c9) = sk_c8)) | (~(multiply(sk_c5, inverse(sk_c5)) = sk_c8)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)))) <=> ((~![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))) | (~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(sk_c3, sk_c8) = sk_c10)) | (~(inverse(sk_c3) = sk_c10)) | (~(multiply(inverse(sk_c5), sk_c9) = sk_c8)) | (~(multiply(sk_c5, inverse(sk_c5)) = sk_c8)))),
% 0.40/0.57 inference(transitivity,[status(thm)],[252, 250])).
% 0.40/0.57 tff(254,plain,
% 0.40/0.57 ((~![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))) | ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(sk_c3, sk_c8) = sk_c10)) | (~(inverse(sk_c3) = sk_c10)) | (~(multiply(inverse(sk_c5), sk_c9) = sk_c8)) | (~(multiply(sk_c5, inverse(sk_c5)) = sk_c8)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)))),
% 0.40/0.57 inference(quant_inst,[status(thm)],[])).
% 0.40/0.57 tff(255,plain,
% 0.40/0.57 ((~![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))) | (~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(sk_c3, sk_c8) = sk_c10)) | (~(inverse(sk_c3) = sk_c10)) | (~(multiply(inverse(sk_c5), sk_c9) = sk_c8)) | (~(multiply(sk_c5, inverse(sk_c5)) = sk_c8))),
% 0.40/0.57 inference(modus_ponens,[status(thm)],[254, 253])).
% 0.40/0.57 tff(256,plain,
% 0.40/0.57 ((~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(sk_c3, sk_c8) = sk_c10)) | (~(multiply(inverse(sk_c5), sk_c9) = sk_c8)) | (~(multiply(sk_c5, inverse(sk_c5)) = sk_c8))),
% 0.40/0.57 inference(unit_resolution,[status(thm)],[255, 39, 135, 249])).
% 0.40/0.57 tff(257,plain,
% 0.40/0.57 (~(multiply(sk_c10, sk_c8) = sk_c9)),
% 0.40/0.57 inference(unit_resolution,[status(thm)],[256, 232, 230, 229, 227, 162, 156])).
% 0.40/0.58 tff(258,plain,
% 0.40/0.58 (~(multiply(sk_c9, sk_c8) = sk_c10)),
% 0.40/0.58 inference(modus_ponens,[status(thm)],[257, 146])).
% 0.40/0.58 tff(259,plain,
% 0.40/0.58 ($false),
% 0.40/0.58 inference(unit_resolution,[status(thm)],[232, 258])).
% 0.40/0.58 tff(260,plain,(inverse(sk_c1) = sk_c10), inference(lemma,lemma(discharge,[]))).
% 0.40/0.58 tff(261,plain,
% 0.40/0.58 (sk_c10 = inverse(sk_c1)),
% 0.40/0.58 inference(symmetry,[status(thm)],[260])).
% 0.40/0.58 tff(262,plain,
% 0.40/0.58 (multiply(sk_c10, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 0.40/0.58 inference(monotonicity,[status(thm)],[261])).
% 0.40/0.58 tff(263,plain,
% 0.40/0.58 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c10, sk_c1)),
% 0.40/0.58 inference(symmetry,[status(thm)],[262])).
% 0.40/0.58 tff(264,plain,
% 0.40/0.58 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c1), sk_c1) = identity)),
% 0.40/0.58 inference(quant_inst,[status(thm)],[])).
% 0.40/0.58 tff(265,plain,
% 0.40/0.58 (multiply(inverse(sk_c1), sk_c1) = identity),
% 0.40/0.58 inference(unit_resolution,[status(thm)],[264, 28])).
% 0.40/0.58 tff(266,plain,
% 0.40/0.58 (identity = multiply(inverse(sk_c1), sk_c1)),
% 0.40/0.58 inference(symmetry,[status(thm)],[265])).
% 0.40/0.58 tff(267,plain,
% 0.40/0.58 (identity = multiply(sk_c10, sk_c1)),
% 0.40/0.58 inference(transitivity,[status(thm)],[266, 263])).
% 0.40/0.58 tff(268,plain,
% 0.40/0.58 (multiply(identity, sk_c10) = multiply(multiply(sk_c10, sk_c1), sk_c10)),
% 0.40/0.58 inference(monotonicity,[status(thm)],[267])).
% 0.40/0.58 tff(269,plain,
% 0.40/0.58 (multiply(multiply(sk_c10, sk_c1), sk_c10) = multiply(identity, sk_c10)),
% 0.40/0.58 inference(symmetry,[status(thm)],[268])).
% 0.40/0.58 tff(270,plain,
% 0.40/0.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c10, sk_c1), sk_c10) = multiply(sk_c10, multiply(sk_c1, sk_c10)))),
% 0.40/0.58 inference(quant_inst,[status(thm)],[])).
% 0.40/0.58 tff(271,plain,
% 0.40/0.58 (multiply(multiply(sk_c10, sk_c1), sk_c10) = multiply(sk_c10, multiply(sk_c1, sk_c10))),
% 0.40/0.58 inference(unit_resolution,[status(thm)],[270, 50])).
% 0.40/0.58 tff(272,plain,
% 0.40/0.58 (multiply(sk_c10, multiply(sk_c1, sk_c10)) = multiply(multiply(sk_c10, sk_c1), sk_c10)),
% 0.40/0.58 inference(symmetry,[status(thm)],[271])).
% 0.40/0.58 tff(273,assumption,(~(inverse(sk_c3) = sk_c10)), introduced(assumption)).
% 0.40/0.58 tff(274,plain,
% 0.40/0.58 (((inverse(sk_c3) = sk_c10) | (multiply(sk_c1, sk_c10) = sk_c2)) <=> ((inverse(sk_c3) = sk_c10) | (multiply(sk_c1, sk_c10) = sk_c2))),
% 0.40/0.58 inference(rewrite,[status(thm)],[])).
% 0.40/0.58 tff(275,plain,
% 0.40/0.58 (((multiply(sk_c1, sk_c10) = sk_c2) | (inverse(sk_c3) = sk_c10)) <=> ((inverse(sk_c3) = sk_c10) | (multiply(sk_c1, sk_c10) = sk_c2))),
% 0.40/0.58 inference(rewrite,[status(thm)],[])).
% 0.40/0.58 tff(276,axiom,((multiply(sk_c1, sk_c10) = sk_c2) | (inverse(sk_c3) = sk_c10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_28')).
% 0.40/0.58 tff(277,plain,
% 0.40/0.58 ((inverse(sk_c3) = sk_c10) | (multiply(sk_c1, sk_c10) = sk_c2)),
% 0.40/0.58 inference(modus_ponens,[status(thm)],[276, 275])).
% 0.40/0.58 tff(278,plain,
% 0.40/0.58 ((inverse(sk_c3) = sk_c10) | (multiply(sk_c1, sk_c10) = sk_c2)),
% 0.40/0.58 inference(modus_ponens,[status(thm)],[277, 274])).
% 0.40/0.58 tff(279,plain,
% 0.40/0.58 (multiply(sk_c1, sk_c10) = sk_c2),
% 0.40/0.58 inference(unit_resolution,[status(thm)],[278, 273])).
% 0.40/0.58 tff(280,plain,
% 0.40/0.58 (multiply(sk_c10, multiply(sk_c1, sk_c10)) = multiply(sk_c10, sk_c2)),
% 0.40/0.58 inference(monotonicity,[status(thm)],[279])).
% 0.40/0.58 tff(281,plain,
% 0.40/0.58 (multiply(sk_c10, sk_c2) = multiply(sk_c10, multiply(sk_c1, sk_c10))),
% 0.40/0.58 inference(symmetry,[status(thm)],[280])).
% 0.40/0.58 tff(282,plain,
% 0.40/0.58 (((inverse(sk_c3) = sk_c10) | (multiply(sk_c10, sk_c2) = sk_c9)) <=> ((inverse(sk_c3) = sk_c10) | (multiply(sk_c10, sk_c2) = sk_c9))),
% 0.40/0.58 inference(rewrite,[status(thm)],[])).
% 0.40/0.58 tff(283,plain,
% 0.40/0.58 (((multiply(sk_c10, sk_c2) = sk_c9) | (inverse(sk_c3) = sk_c10)) <=> ((inverse(sk_c3) = sk_c10) | (multiply(sk_c10, sk_c2) = sk_c9))),
% 0.40/0.58 inference(rewrite,[status(thm)],[])).
% 0.40/0.58 tff(284,axiom,((multiply(sk_c10, sk_c2) = sk_c9) | (inverse(sk_c3) = sk_c10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_20')).
% 0.40/0.58 tff(285,plain,
% 0.40/0.58 ((inverse(sk_c3) = sk_c10) | (multiply(sk_c10, sk_c2) = sk_c9)),
% 0.40/0.58 inference(modus_ponens,[status(thm)],[284, 283])).
% 0.40/0.58 tff(286,plain,
% 0.40/0.58 ((inverse(sk_c3) = sk_c10) | (multiply(sk_c10, sk_c2) = sk_c9)),
% 0.42/0.58 inference(modus_ponens,[status(thm)],[285, 282])).
% 0.42/0.58 tff(287,plain,
% 0.42/0.58 (multiply(sk_c10, sk_c2) = sk_c9),
% 0.42/0.58 inference(unit_resolution,[status(thm)],[286, 273])).
% 0.42/0.58 tff(288,plain,
% 0.42/0.58 (sk_c9 = multiply(sk_c10, sk_c2)),
% 0.42/0.58 inference(symmetry,[status(thm)],[287])).
% 0.42/0.58 tff(289,plain,
% 0.42/0.58 (((inverse(sk_c3) = sk_c10) | (multiply(sk_c10, sk_c8) = sk_c9)) <=> ((inverse(sk_c3) = sk_c10) | (multiply(sk_c10, sk_c8) = sk_c9))),
% 0.42/0.58 inference(rewrite,[status(thm)],[])).
% 0.42/0.58 tff(290,plain,
% 0.42/0.58 (((multiply(sk_c10, sk_c8) = sk_c9) | (inverse(sk_c3) = sk_c10)) <=> ((inverse(sk_c3) = sk_c10) | (multiply(sk_c10, sk_c8) = sk_c9))),
% 0.42/0.58 inference(rewrite,[status(thm)],[])).
% 0.42/0.58 tff(291,axiom,((multiply(sk_c10, sk_c8) = sk_c9) | (inverse(sk_c3) = sk_c10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_12')).
% 0.42/0.58 tff(292,plain,
% 0.42/0.58 ((inverse(sk_c3) = sk_c10) | (multiply(sk_c10, sk_c8) = sk_c9)),
% 0.42/0.58 inference(modus_ponens,[status(thm)],[291, 290])).
% 0.42/0.58 tff(293,plain,
% 0.42/0.58 ((inverse(sk_c3) = sk_c10) | (multiply(sk_c10, sk_c8) = sk_c9)),
% 0.42/0.58 inference(modus_ponens,[status(thm)],[292, 289])).
% 0.42/0.58 tff(294,plain,
% 0.42/0.58 (multiply(sk_c10, sk_c8) = sk_c9),
% 0.42/0.58 inference(unit_resolution,[status(thm)],[293, 273])).
% 0.42/0.58 tff(295,plain,
% 0.42/0.58 (multiply(multiply(identity, sk_c10), sk_c8) = multiply(sk_c10, sk_c8)),
% 0.42/0.58 inference(monotonicity,[status(thm)],[9])).
% 0.42/0.58 tff(296,plain,
% 0.42/0.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c10), sk_c8) = multiply(identity, multiply(sk_c10, sk_c8)))),
% 0.42/0.58 inference(quant_inst,[status(thm)],[])).
% 0.42/0.58 tff(297,plain,
% 0.42/0.58 (multiply(multiply(identity, sk_c10), sk_c8) = multiply(identity, multiply(sk_c10, sk_c8))),
% 0.42/0.58 inference(unit_resolution,[status(thm)],[296, 50])).
% 0.42/0.58 tff(298,plain,
% 0.42/0.58 (multiply(identity, multiply(sk_c10, sk_c8)) = multiply(multiply(identity, sk_c10), sk_c8)),
% 0.42/0.58 inference(symmetry,[status(thm)],[297])).
% 0.42/0.58 tff(299,plain,
% 0.42/0.58 (sk_c9 = multiply(sk_c10, sk_c8)),
% 0.42/0.58 inference(symmetry,[status(thm)],[294])).
% 0.42/0.58 tff(300,plain,
% 0.42/0.58 (multiply(identity, sk_c9) = multiply(identity, multiply(sk_c10, sk_c8))),
% 0.42/0.58 inference(monotonicity,[status(thm)],[299])).
% 0.42/0.58 tff(301,plain,
% 0.42/0.58 (sk_c10 = sk_c9),
% 0.42/0.58 inference(transitivity,[status(thm)],[73, 268, 271, 280, 287])).
% 0.42/0.58 tff(302,plain,
% 0.42/0.58 (multiply(sk_c9, multiply(sk_c9, sk_c8)) = multiply(inverse(sk_c10), sk_c10)),
% 0.42/0.58 inference(monotonicity,[status(thm)],[40, 119])).
% 0.42/0.58 tff(303,plain,
% 0.42/0.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c9, sk_c9), sk_c8) = multiply(sk_c9, multiply(sk_c9, sk_c8)))),
% 0.42/0.58 inference(quant_inst,[status(thm)],[])).
% 0.42/0.58 tff(304,plain,
% 0.42/0.58 (multiply(multiply(sk_c9, sk_c9), sk_c8) = multiply(sk_c9, multiply(sk_c9, sk_c8))),
% 0.42/0.58 inference(unit_resolution,[status(thm)],[303, 50])).
% 0.42/0.58 tff(305,plain,
% 0.42/0.58 (multiply(multiply(inverse(sk_c10), sk_c9), sk_c8) = multiply(multiply(sk_c9, sk_c9), sk_c8)),
% 0.42/0.58 inference(monotonicity,[status(thm)],[121])).
% 0.42/0.58 tff(306,plain,
% 0.42/0.58 (multiply(multiply(inverse(sk_c10), sk_c9), sk_c8) = identity),
% 0.42/0.58 inference(transitivity,[status(thm)],[305, 304, 302, 36])).
% 0.42/0.58 tff(307,plain,
% 0.42/0.58 (multiply(multiply(multiply(inverse(sk_c10), sk_c9), sk_c8), sk_c10) = multiply(identity, sk_c9)),
% 0.42/0.58 inference(monotonicity,[status(thm)],[306, 301])).
% 0.42/0.58 tff(308,plain,
% 0.42/0.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c10), sk_c9), sk_c8), sk_c10) = multiply(multiply(inverse(sk_c10), sk_c9), multiply(sk_c8, sk_c10)))),
% 0.42/0.58 inference(quant_inst,[status(thm)],[])).
% 0.42/0.58 tff(309,plain,
% 0.42/0.58 (multiply(multiply(multiply(inverse(sk_c10), sk_c9), sk_c8), sk_c10) = multiply(multiply(inverse(sk_c10), sk_c9), multiply(sk_c8, sk_c10))),
% 0.42/0.58 inference(unit_resolution,[status(thm)],[308, 50])).
% 0.42/0.58 tff(310,plain,
% 0.42/0.58 (multiply(multiply(inverse(sk_c10), sk_c9), multiply(sk_c8, sk_c10)) = multiply(multiply(multiply(inverse(sk_c10), sk_c9), sk_c8), sk_c10)),
% 0.42/0.58 inference(symmetry,[status(thm)],[309])).
% 0.42/0.58 tff(311,plain,
% 0.42/0.58 (sk_c9 = multiply(sk_c10, multiply(sk_c1, sk_c10))),
% 0.42/0.58 inference(transitivity,[status(thm)],[288, 281])).
% 0.42/0.58 tff(312,plain,
% 0.42/0.58 (multiply(inverse(sk_c10), sk_c9) = multiply(sk_c9, multiply(sk_c10, multiply(sk_c1, sk_c10)))),
% 0.42/0.58 inference(monotonicity,[status(thm)],[39, 311])).
% 0.42/0.58 tff(313,plain,
% 0.42/0.58 (multiply(sk_c9, multiply(sk_c10, multiply(sk_c1, sk_c10))) = multiply(inverse(sk_c10), sk_c9)),
% 0.42/0.58 inference(symmetry,[status(thm)],[312])).
% 0.42/0.58 tff(314,plain,
% 0.42/0.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c9, sk_c10), multiply(sk_c1, sk_c10)) = multiply(sk_c9, multiply(sk_c10, multiply(sk_c1, sk_c10))))),
% 0.42/0.58 inference(quant_inst,[status(thm)],[])).
% 0.42/0.58 tff(315,plain,
% 0.42/0.58 (multiply(multiply(sk_c9, sk_c10), multiply(sk_c1, sk_c10)) = multiply(sk_c9, multiply(sk_c10, multiply(sk_c1, sk_c10)))),
% 0.42/0.58 inference(unit_resolution,[status(thm)],[314, 50])).
% 0.42/0.58 tff(316,plain,
% 0.42/0.58 (multiply(sk_c9, sk_c10) = identity),
% 0.42/0.58 inference(transitivity,[status(thm)],[41, 36])).
% 0.42/0.58 tff(317,plain,
% 0.42/0.58 (multiply(multiply(sk_c9, sk_c10), multiply(sk_c1, sk_c10)) = multiply(identity, multiply(sk_c1, sk_c10))),
% 0.42/0.58 inference(monotonicity,[status(thm)],[316])).
% 0.42/0.58 tff(318,plain,
% 0.42/0.58 (multiply(identity, multiply(sk_c1, sk_c10)) = multiply(multiply(sk_c9, sk_c10), multiply(sk_c1, sk_c10))),
% 0.42/0.58 inference(symmetry,[status(thm)],[317])).
% 0.42/0.58 tff(319,plain,
% 0.42/0.58 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c1, sk_c10)) = multiply(sk_c1, sk_c10))),
% 0.42/0.58 inference(quant_inst,[status(thm)],[])).
% 0.42/0.58 tff(320,plain,
% 0.42/0.58 (multiply(identity, multiply(sk_c1, sk_c10)) = multiply(sk_c1, sk_c10)),
% 0.42/0.58 inference(unit_resolution,[status(thm)],[319, 7])).
% 0.42/0.58 tff(321,plain,
% 0.42/0.58 (multiply(sk_c1, sk_c10) = multiply(identity, multiply(sk_c1, sk_c10))),
% 0.42/0.58 inference(symmetry,[status(thm)],[320])).
% 0.42/0.58 tff(322,plain,
% 0.42/0.58 (multiply(sk_c1, sk_c10) = multiply(sk_c1, sk_c9)),
% 0.42/0.58 inference(monotonicity,[status(thm)],[301])).
% 0.42/0.58 tff(323,plain,
% 0.42/0.58 (multiply(sk_c1, sk_c9) = multiply(sk_c1, sk_c10)),
% 0.42/0.58 inference(symmetry,[status(thm)],[322])).
% 0.42/0.58 tff(324,plain,
% 0.42/0.58 (multiply(sk_c1, sk_c9) = multiply(inverse(sk_c10), sk_c9)),
% 0.42/0.58 inference(transitivity,[status(thm)],[323, 321, 318, 315, 313])).
% 0.42/0.58 tff(325,plain,
% 0.42/0.58 (multiply(multiply(sk_c1, sk_c9), multiply(sk_c8, sk_c10)) = multiply(multiply(inverse(sk_c10), sk_c9), multiply(sk_c8, sk_c10))),
% 0.42/0.58 inference(monotonicity,[status(thm)],[324])).
% 0.42/0.58 tff(326,plain,
% 0.42/0.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, sk_c9), sk_c8), sk_c10) = multiply(multiply(sk_c1, sk_c9), multiply(sk_c8, sk_c10)))),
% 0.42/0.58 inference(quant_inst,[status(thm)],[])).
% 0.42/0.58 tff(327,plain,
% 0.42/0.58 (multiply(multiply(multiply(sk_c1, sk_c9), sk_c8), sk_c10) = multiply(multiply(sk_c1, sk_c9), multiply(sk_c8, sk_c10))),
% 0.42/0.58 inference(unit_resolution,[status(thm)],[326, 50])).
% 0.42/0.58 tff(328,plain,
% 0.42/0.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c9), sk_c8) = multiply(sk_c1, multiply(sk_c9, sk_c8)))),
% 0.42/0.58 inference(quant_inst,[status(thm)],[])).
% 0.42/0.58 tff(329,plain,
% 0.42/0.58 (multiply(multiply(sk_c1, sk_c9), sk_c8) = multiply(sk_c1, multiply(sk_c9, sk_c8))),
% 0.42/0.58 inference(unit_resolution,[status(thm)],[328, 50])).
% 0.42/0.58 tff(330,plain,
% 0.42/0.58 (multiply(sk_c1, multiply(sk_c9, sk_c8)) = multiply(multiply(sk_c1, sk_c9), sk_c8)),
% 0.42/0.58 inference(symmetry,[status(thm)],[329])).
% 0.42/0.58 tff(331,plain,
% 0.42/0.58 (multiply(sk_c1, multiply(sk_c9, sk_c8)) = multiply(sk_c1, sk_c10)),
% 0.42/0.58 inference(monotonicity,[status(thm)],[119])).
% 0.42/0.58 tff(332,plain,
% 0.42/0.58 (multiply(sk_c1, sk_c10) = multiply(sk_c1, multiply(sk_c9, sk_c8))),
% 0.42/0.58 inference(symmetry,[status(thm)],[331])).
% 0.42/0.58 tff(333,plain,
% 0.42/0.58 (multiply(sk_c1, sk_c10) = multiply(multiply(sk_c1, sk_c9), sk_c8)),
% 0.42/0.58 inference(transitivity,[status(thm)],[332, 330])).
% 0.42/0.58 tff(334,plain,
% 0.42/0.58 (multiply(multiply(sk_c1, sk_c10), sk_c10) = multiply(multiply(multiply(sk_c1, sk_c9), sk_c8), sk_c10)),
% 0.42/0.58 inference(monotonicity,[status(thm)],[333])).
% 0.42/0.58 tff(335,plain,
% 0.42/0.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c10), sk_c10) = multiply(sk_c1, multiply(sk_c10, sk_c10)))),
% 0.42/0.58 inference(quant_inst,[status(thm)],[])).
% 0.42/0.58 tff(336,plain,
% 0.42/0.58 (multiply(multiply(sk_c1, sk_c10), sk_c10) = multiply(sk_c1, multiply(sk_c10, sk_c10))),
% 0.42/0.58 inference(unit_resolution,[status(thm)],[335, 50])).
% 0.42/0.58 tff(337,plain,
% 0.42/0.58 (multiply(sk_c1, multiply(sk_c10, sk_c10)) = multiply(multiply(sk_c1, sk_c10), sk_c10)),
% 0.42/0.58 inference(symmetry,[status(thm)],[336])).
% 0.42/0.58 tff(338,plain,
% 0.42/0.58 (sk_c10 = inverse(sk_c10)),
% 0.42/0.58 inference(transitivity,[status(thm)],[73, 268, 271, 280, 287, 40])).
% 0.42/0.58 tff(339,plain,
% 0.42/0.58 (multiply(sk_c10, sk_c10) = multiply(inverse(sk_c10), sk_c9)),
% 0.42/0.58 inference(monotonicity,[status(thm)],[338, 301])).
% 0.42/0.58 tff(340,plain,
% 0.42/0.58 (multiply(inverse(sk_c10), sk_c9) = multiply(sk_c10, sk_c10)),
% 0.42/0.58 inference(symmetry,[status(thm)],[339])).
% 0.42/0.58 tff(341,plain,
% 0.42/0.58 (multiply(sk_c1, sk_c9) = multiply(sk_c1, multiply(sk_c10, sk_c8))),
% 0.42/0.58 inference(monotonicity,[status(thm)],[299])).
% 0.42/0.58 tff(342,plain,
% 0.42/0.58 (multiply(sk_c1, multiply(sk_c10, sk_c8)) = multiply(sk_c1, sk_c9)),
% 0.42/0.58 inference(symmetry,[status(thm)],[341])).
% 0.42/0.58 tff(343,plain,
% 0.42/0.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c10), sk_c8) = multiply(sk_c1, multiply(sk_c10, sk_c8)))),
% 0.42/0.58 inference(quant_inst,[status(thm)],[])).
% 0.42/0.58 tff(344,plain,
% 0.42/0.58 (multiply(multiply(sk_c1, sk_c10), sk_c8) = multiply(sk_c1, multiply(sk_c10, sk_c8))),
% 0.42/0.58 inference(unit_resolution,[status(thm)],[343, 50])).
% 0.42/0.58 tff(345,plain,
% 0.42/0.58 (multiply(multiply(sk_c1, sk_c10), sk_c8) = multiply(multiply(identity, multiply(sk_c1, sk_c10)), sk_c8)),
% 0.42/0.58 inference(monotonicity,[status(thm)],[321])).
% 0.42/0.58 tff(346,plain,
% 0.42/0.58 (multiply(multiply(identity, multiply(sk_c1, sk_c10)), sk_c8) = multiply(multiply(sk_c1, sk_c10), sk_c8)),
% 0.42/0.58 inference(symmetry,[status(thm)],[345])).
% 0.42/0.58 tff(347,plain,
% 0.42/0.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, multiply(sk_c1, sk_c10)), sk_c8) = multiply(identity, multiply(multiply(sk_c1, sk_c10), sk_c8)))),
% 0.42/0.58 inference(quant_inst,[status(thm)],[])).
% 0.42/0.58 tff(348,plain,
% 0.42/0.58 (multiply(multiply(identity, multiply(sk_c1, sk_c10)), sk_c8) = multiply(identity, multiply(multiply(sk_c1, sk_c10), sk_c8))),
% 0.42/0.58 inference(unit_resolution,[status(thm)],[347, 50])).
% 0.42/0.58 tff(349,plain,
% 0.42/0.58 (multiply(identity, multiply(multiply(sk_c1, sk_c10), sk_c8)) = multiply(multiply(identity, multiply(sk_c1, sk_c10)), sk_c8)),
% 0.42/0.58 inference(symmetry,[status(thm)],[348])).
% 0.42/0.58 tff(350,plain,
% 0.42/0.58 (multiply(inverse(sk_c10), sk_c10) = multiply(sk_c9, sk_c10)),
% 0.42/0.58 inference(symmetry,[status(thm)],[41])).
% 0.42/0.58 tff(351,plain,
% 0.42/0.58 (identity = multiply(sk_c9, sk_c10)),
% 0.42/0.58 inference(transitivity,[status(thm)],[174, 350])).
% 0.42/0.58 tff(352,plain,
% 0.42/0.58 (multiply(identity, multiply(multiply(sk_c1, sk_c10), sk_c8)) = multiply(multiply(sk_c9, sk_c10), multiply(multiply(sk_c1, sk_c10), sk_c8))),
% 0.42/0.58 inference(monotonicity,[status(thm)],[351])).
% 0.42/0.58 tff(353,plain,
% 0.42/0.58 (multiply(multiply(sk_c9, sk_c10), multiply(multiply(sk_c1, sk_c10), sk_c8)) = multiply(identity, multiply(multiply(sk_c1, sk_c10), sk_c8))),
% 0.42/0.58 inference(symmetry,[status(thm)],[352])).
% 0.42/0.58 tff(354,plain,
% 0.42/0.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c9, sk_c10), multiply(multiply(sk_c1, sk_c10), sk_c8)) = multiply(sk_c9, multiply(sk_c10, multiply(multiply(sk_c1, sk_c10), sk_c8))))),
% 0.42/0.58 inference(quant_inst,[status(thm)],[])).
% 0.42/0.58 tff(355,plain,
% 0.42/0.58 (multiply(multiply(sk_c9, sk_c10), multiply(multiply(sk_c1, sk_c10), sk_c8)) = multiply(sk_c9, multiply(sk_c10, multiply(multiply(sk_c1, sk_c10), sk_c8)))),
% 0.42/0.58 inference(unit_resolution,[status(thm)],[354, 50])).
% 0.42/0.58 tff(356,plain,
% 0.42/0.58 (multiply(sk_c9, multiply(sk_c10, multiply(multiply(sk_c1, sk_c10), sk_c8))) = multiply(multiply(sk_c9, sk_c10), multiply(multiply(sk_c1, sk_c10), sk_c8))),
% 0.42/0.58 inference(symmetry,[status(thm)],[355])).
% 0.42/0.58 tff(357,plain,
% 0.42/0.58 (multiply(sk_c10, multiply(sk_c1, sk_c10)) = sk_c9),
% 0.42/0.58 inference(transitivity,[status(thm)],[280, 287])).
% 0.42/0.58 tff(358,plain,
% 0.42/0.58 (multiply(multiply(sk_c10, multiply(sk_c1, sk_c10)), sk_c8) = multiply(sk_c9, sk_c8)),
% 0.42/0.58 inference(monotonicity,[status(thm)],[357])).
% 0.42/0.58 tff(359,plain,
% 0.42/0.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c10, multiply(sk_c1, sk_c10)), sk_c8) = multiply(sk_c10, multiply(multiply(sk_c1, sk_c10), sk_c8)))),
% 0.42/0.58 inference(quant_inst,[status(thm)],[])).
% 0.42/0.58 tff(360,plain,
% 0.42/0.58 (multiply(multiply(sk_c10, multiply(sk_c1, sk_c10)), sk_c8) = multiply(sk_c10, multiply(multiply(sk_c1, sk_c10), sk_c8))),
% 0.42/0.58 inference(unit_resolution,[status(thm)],[359, 50])).
% 0.42/0.58 tff(361,plain,
% 0.42/0.58 (multiply(sk_c10, multiply(multiply(sk_c1, sk_c10), sk_c8)) = multiply(multiply(sk_c10, multiply(sk_c1, sk_c10)), sk_c8)),
% 0.42/0.58 inference(symmetry,[status(thm)],[360])).
% 0.42/0.58 tff(362,plain,
% 0.42/0.58 (multiply(sk_c10, multiply(multiply(sk_c1, sk_c10), sk_c8)) = sk_c10),
% 0.42/0.58 inference(transitivity,[status(thm)],[361, 358, 119])).
% 0.42/0.58 tff(363,plain,
% 0.42/0.58 (multiply(sk_c9, multiply(sk_c10, multiply(multiply(sk_c1, sk_c10), sk_c8))) = multiply(inverse(sk_c10), sk_c10)),
% 0.42/0.58 inference(monotonicity,[status(thm)],[40, 362])).
% 0.42/0.58 tff(364,plain,
% 0.42/0.58 (multiply(inverse(sk_c10), sk_c10) = multiply(sk_c9, multiply(sk_c10, multiply(multiply(sk_c1, sk_c10), sk_c8)))),
% 0.42/0.58 inference(symmetry,[status(thm)],[363])).
% 0.42/0.58 tff(365,plain,
% 0.42/0.58 (identity = multiply(sk_c10, sk_c10)),
% 0.42/0.58 inference(transitivity,[status(thm)],[174, 364, 356, 353, 349, 346, 344, 342, 323, 321, 318, 315, 313, 340])).
% 0.42/0.58 tff(366,plain,
% 0.42/0.58 (multiply(sk_c1, identity) = multiply(sk_c1, multiply(sk_c10, sk_c10))),
% 0.42/0.58 inference(monotonicity,[status(thm)],[365])).
% 0.42/0.58 tff(367,plain,
% 0.42/0.58 (multiply(sk_c1, multiply(sk_c10, sk_c8)) = multiply(multiply(sk_c1, sk_c10), sk_c8)),
% 0.42/0.58 inference(symmetry,[status(thm)],[344])).
% 0.42/0.58 tff(368,plain,
% 0.42/0.58 (multiply(sk_c1, sk_c10) = identity),
% 0.42/0.58 inference(transitivity,[status(thm)],[322, 341, 367, 345, 348, 352, 355, 363, 36])).
% 0.42/0.58 tff(369,plain,
% 0.42/0.58 (multiply(sk_c1, multiply(sk_c1, sk_c10)) = multiply(sk_c1, identity)),
% 0.42/0.58 inference(monotonicity,[status(thm)],[368])).
% 0.42/0.58 tff(370,plain,
% 0.42/0.58 (multiply(sk_c9, multiply(sk_c10, multiply(sk_c1, sk_c10))) = multiply(multiply(sk_c9, sk_c10), multiply(sk_c1, sk_c10))),
% 0.42/0.58 inference(symmetry,[status(thm)],[315])).
% 0.42/0.58 tff(371,plain,
% 0.42/0.58 (multiply(sk_c9, multiply(sk_c10, sk_c8)) = multiply(inverse(sk_c10), sk_c9)),
% 0.42/0.58 inference(monotonicity,[status(thm)],[40, 294])).
% 0.42/0.58 tff(372,plain,
% 0.42/0.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c9, sk_c10), sk_c8) = multiply(sk_c9, multiply(sk_c10, sk_c8)))),
% 0.42/0.58 inference(quant_inst,[status(thm)],[])).
% 0.42/0.58 tff(373,plain,
% 0.42/0.58 (multiply(multiply(sk_c9, sk_c10), sk_c8) = multiply(sk_c9, multiply(sk_c10, sk_c8))),
% 0.42/0.58 inference(unit_resolution,[status(thm)],[372, 50])).
% 0.42/0.58 tff(374,plain,
% 0.42/0.58 (multiply(identity, sk_c8) = multiply(multiply(sk_c9, sk_c10), sk_c8)),
% 0.42/0.58 inference(monotonicity,[status(thm)],[351])).
% 0.42/0.58 tff(375,plain,
% 0.42/0.58 (sk_c8 = multiply(sk_c1, sk_c10)),
% 0.42/0.58 inference(transitivity,[status(thm)],[114, 374, 373, 371, 312, 370, 317, 320])).
% 0.42/0.58 tff(376,plain,
% 0.42/0.58 (multiply(sk_c1, sk_c8) = multiply(sk_c1, multiply(sk_c1, sk_c10))),
% 0.42/0.58 inference(monotonicity,[status(thm)],[375])).
% 0.42/0.58 tff(377,plain,
% 0.42/0.58 (multiply(sk_c1, sk_c8) = sk_c10),
% 0.42/0.58 inference(transitivity,[status(thm)],[376, 369, 366, 337, 334, 327, 325, 310, 307, 300, 298, 295, 294, 288, 281, 272, 269, 9])).
% 0.42/0.58 tff(378,plain,
% 0.42/0.58 (multiply(multiply(sk_c9, sk_c10), sk_c8) = multiply(identity, sk_c8)),
% 0.42/0.58 inference(symmetry,[status(thm)],[374])).
% 0.42/0.58 tff(379,plain,
% 0.42/0.58 (multiply(sk_c9, multiply(sk_c10, sk_c8)) = multiply(multiply(sk_c9, sk_c10), sk_c8)),
% 0.42/0.58 inference(symmetry,[status(thm)],[373])).
% 0.42/0.58 tff(380,plain,
% 0.42/0.58 (multiply(inverse(sk_c10), sk_c9) = multiply(sk_c9, multiply(sk_c10, sk_c8))),
% 0.42/0.58 inference(symmetry,[status(thm)],[371])).
% 0.42/0.58 tff(381,plain,
% 0.42/0.58 (multiply(sk_c10, inverse(sk_c10)) = multiply(inverse(sk_c10), sk_c9)),
% 0.42/0.58 inference(monotonicity,[status(thm)],[338, 39])).
% 0.42/0.58 tff(382,plain,
% 0.42/0.58 (multiply(sk_c10, inverse(sk_c10)) = sk_c8),
% 0.42/0.59 inference(transitivity,[status(thm)],[381, 380, 379, 378, 113])).
% 0.42/0.59 tff(383,plain,
% 0.42/0.59 (multiply(inverse(sk_c10), sk_c9) = sk_c8),
% 0.42/0.59 inference(transitivity,[status(thm)],[380, 379, 378, 113])).
% 0.42/0.59 tff(384,plain,
% 0.42/0.59 (inverse(sk_c10) = sk_c10),
% 0.42/0.59 inference(transitivity,[status(thm)],[39, 288, 281, 272, 269, 9])).
% 0.42/0.59 tff(385,plain,
% 0.42/0.59 (multiply(sk_c9, sk_c10) = multiply(sk_c10, sk_c1)),
% 0.42/0.59 inference(transitivity,[status(thm)],[41, 36, 266, 263])).
% 0.42/0.59 tff(386,plain,
% 0.42/0.59 (multiply(multiply(sk_c9, sk_c10), sk_c10) = multiply(multiply(sk_c10, sk_c1), sk_c10)),
% 0.42/0.59 inference(monotonicity,[status(thm)],[385])).
% 0.42/0.59 tff(387,plain,
% 0.42/0.59 (multiply(sk_c10, multiply(sk_c10, sk_c10)) = multiply(sk_c9, multiply(sk_c10, sk_c10))),
% 0.42/0.59 inference(monotonicity,[status(thm)],[301])).
% 0.42/0.59 tff(388,plain,
% 0.42/0.59 (multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9),
% 0.42/0.59 inference(transitivity,[status(thm)],[387, 53, 386, 271, 280, 287])).
% 0.42/0.59 tff(389,plain,
% 0.42/0.59 (((~![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))) | ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(inverse(sk_c10), sk_c9) = sk_c8)) | (~(multiply(sk_c10, inverse(sk_c10)) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c10)) | (~(inverse(sk_c1) = sk_c10)))) <=> ((~![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))) | (~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(inverse(sk_c10), sk_c9) = sk_c8)) | (~(multiply(sk_c10, inverse(sk_c10)) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c10)) | (~(inverse(sk_c1) = sk_c10)))),
% 0.42/0.59 inference(rewrite,[status(thm)],[])).
% 0.42/0.59 tff(390,plain,
% 0.42/0.59 (((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(sk_c1, sk_c8) = sk_c10)) | (~(inverse(sk_c1) = sk_c10)) | (~(multiply(inverse(sk_c10), sk_c9) = sk_c8)) | (~(multiply(sk_c10, inverse(sk_c10)) = sk_c8)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9))) <=> ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(inverse(sk_c10), sk_c9) = sk_c8)) | (~(multiply(sk_c10, inverse(sk_c10)) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c10)) | (~(inverse(sk_c1) = sk_c10)))),
% 0.42/0.59 inference(rewrite,[status(thm)],[])).
% 0.42/0.59 tff(391,plain,
% 0.42/0.59 (((~![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))) | ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(sk_c1, sk_c8) = sk_c10)) | (~(inverse(sk_c1) = sk_c10)) | (~(multiply(inverse(sk_c10), sk_c9) = sk_c8)) | (~(multiply(sk_c10, inverse(sk_c10)) = sk_c8)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)))) <=> ((~![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))) | ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(inverse(sk_c10), sk_c9) = sk_c8)) | (~(multiply(sk_c10, inverse(sk_c10)) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c10)) | (~(inverse(sk_c1) = sk_c10))))),
% 0.42/0.59 inference(monotonicity,[status(thm)],[390])).
% 0.42/0.59 tff(392,plain,
% 0.42/0.59 (((~![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))) | ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(sk_c1, sk_c8) = sk_c10)) | (~(inverse(sk_c1) = sk_c10)) | (~(multiply(inverse(sk_c10), sk_c9) = sk_c8)) | (~(multiply(sk_c10, inverse(sk_c10)) = sk_c8)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)))) <=> ((~![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))) | (~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(inverse(sk_c10), sk_c9) = sk_c8)) | (~(multiply(sk_c10, inverse(sk_c10)) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c10)) | (~(inverse(sk_c1) = sk_c10)))),
% 0.42/0.59 inference(transitivity,[status(thm)],[391, 389])).
% 0.42/0.59 tff(393,plain,
% 0.42/0.59 ((~![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))) | ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(sk_c1, sk_c8) = sk_c10)) | (~(inverse(sk_c1) = sk_c10)) | (~(multiply(inverse(sk_c10), sk_c9) = sk_c8)) | (~(multiply(sk_c10, inverse(sk_c10)) = sk_c8)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)))),
% 0.42/0.59 inference(quant_inst,[status(thm)],[])).
% 0.42/0.59 tff(394,plain,
% 0.42/0.59 ((~![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))) | (~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(inverse(sk_c10), sk_c9) = sk_c8)) | (~(multiply(sk_c10, inverse(sk_c10)) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c10)) | (~(inverse(sk_c1) = sk_c10))),
% 0.42/0.59 inference(modus_ponens,[status(thm)],[393, 392])).
% 0.42/0.59 tff(395,plain,
% 0.42/0.59 ((~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(inverse(sk_c10), sk_c9) = sk_c8)) | (~(multiply(sk_c10, inverse(sk_c10)) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c10))),
% 0.42/0.59 inference(unit_resolution,[status(thm)],[394, 39, 260, 249])).
% 0.42/0.59 tff(396,plain,
% 0.42/0.59 ((~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(inverse(sk_c10), sk_c9) = sk_c8)) | (~(multiply(sk_c10, inverse(sk_c10)) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c10))),
% 0.42/0.59 inference(unit_resolution,[status(thm)],[395, 119])).
% 0.42/0.59 tff(397,plain,
% 0.42/0.59 ($false),
% 0.42/0.59 inference(unit_resolution,[status(thm)],[396, 388, 384, 294, 383, 382, 377])).
% 0.42/0.59 tff(398,plain,(inverse(sk_c3) = sk_c10), inference(lemma,lemma(discharge,[]))).
% 0.42/0.59 tff(399,plain,
% 0.42/0.59 (sk_c10 = inverse(sk_c3)),
% 0.42/0.59 inference(symmetry,[status(thm)],[398])).
% 0.42/0.59 tff(400,plain,
% 0.42/0.59 (multiply(sk_c10, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 0.42/0.59 inference(monotonicity,[status(thm)],[399])).
% 0.42/0.59 tff(401,plain,
% 0.42/0.59 (multiply(sk_c10, sk_c3) = identity),
% 0.42/0.59 inference(transitivity,[status(thm)],[400, 30])).
% 0.42/0.59 tff(402,plain,
% 0.42/0.59 (multiply(multiply(sk_c10, sk_c3), sk_c10) = multiply(identity, sk_c10)),
% 0.42/0.59 inference(monotonicity,[status(thm)],[401])).
% 0.42/0.59 tff(403,assumption,(~(multiply(sk_c10, sk_c8) = sk_c9)), introduced(assumption)).
% 0.42/0.59 tff(404,plain,
% 0.42/0.59 (((multiply(sk_c10, sk_c8) = sk_c9) | (multiply(sk_c3, sk_c10) = sk_c4)) <=> ((multiply(sk_c10, sk_c8) = sk_c9) | (multiply(sk_c3, sk_c10) = sk_c4))),
% 0.42/0.59 inference(rewrite,[status(thm)],[])).
% 0.42/0.59 tff(405,axiom,((multiply(sk_c10, sk_c8) = sk_c9) | (multiply(sk_c3, sk_c10) = sk_c4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_11')).
% 0.42/0.59 tff(406,plain,
% 0.42/0.59 ((multiply(sk_c10, sk_c8) = sk_c9) | (multiply(sk_c3, sk_c10) = sk_c4)),
% 0.42/0.59 inference(modus_ponens,[status(thm)],[405, 404])).
% 0.42/0.59 tff(407,plain,
% 0.42/0.59 (multiply(sk_c3, sk_c10) = sk_c4),
% 0.42/0.59 inference(unit_resolution,[status(thm)],[406, 403])).
% 0.42/0.59 tff(408,plain,
% 0.42/0.59 (sk_c4 = multiply(sk_c3, sk_c10)),
% 0.42/0.59 inference(symmetry,[status(thm)],[407])).
% 0.42/0.59 tff(409,plain,
% 0.42/0.59 (multiply(sk_c10, sk_c4) = multiply(sk_c10, multiply(sk_c3, sk_c10))),
% 0.42/0.59 inference(monotonicity,[status(thm)],[408])).
% 0.42/0.59 tff(410,plain,
% 0.42/0.59 (((multiply(sk_c10, sk_c4) = sk_c9) | (multiply(sk_c10, sk_c8) = sk_c9)) <=> ((multiply(sk_c10, sk_c4) = sk_c9) | (multiply(sk_c10, sk_c8) = sk_c9))),
% 0.42/0.59 inference(rewrite,[status(thm)],[])).
% 0.42/0.59 tff(411,plain,
% 0.42/0.59 (((multiply(sk_c10, sk_c8) = sk_c9) | (multiply(sk_c10, sk_c4) = sk_c9)) <=> ((multiply(sk_c10, sk_c4) = sk_c9) | (multiply(sk_c10, sk_c8) = sk_c9))),
% 0.42/0.59 inference(rewrite,[status(thm)],[])).
% 0.42/0.59 tff(412,axiom,((multiply(sk_c10, sk_c8) = sk_c9) | (multiply(sk_c10, sk_c4) = sk_c9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_10')).
% 0.42/0.59 tff(413,plain,
% 0.42/0.59 ((multiply(sk_c10, sk_c4) = sk_c9) | (multiply(sk_c10, sk_c8) = sk_c9)),
% 0.42/0.59 inference(modus_ponens,[status(thm)],[412, 411])).
% 0.42/0.59 tff(414,plain,
% 0.42/0.59 ((multiply(sk_c10, sk_c4) = sk_c9) | (multiply(sk_c10, sk_c8) = sk_c9)),
% 0.42/0.59 inference(modus_ponens,[status(thm)],[413, 410])).
% 0.42/0.59 tff(415,plain,
% 0.42/0.59 (multiply(sk_c10, sk_c4) = sk_c9),
% 0.42/0.59 inference(unit_resolution,[status(thm)],[414, 403])).
% 0.42/0.59 tff(416,plain,
% 0.42/0.59 (sk_c9 = multiply(sk_c10, sk_c4)),
% 0.42/0.59 inference(symmetry,[status(thm)],[415])).
% 0.42/0.59 tff(417,plain,
% 0.42/0.59 (sk_c9 = sk_c10),
% 0.42/0.59 inference(transitivity,[status(thm)],[416, 409, 78, 402, 9])).
% 0.42/0.59 tff(418,plain,
% 0.42/0.59 ((multiply(sk_c10, sk_c8) = sk_c9) <=> (multiply(sk_c10, sk_c8) = sk_c10)),
% 0.42/0.59 inference(monotonicity,[status(thm)],[417])).
% 0.42/0.59 tff(419,plain,
% 0.42/0.59 ((multiply(sk_c10, sk_c8) = sk_c10) <=> (multiply(sk_c10, sk_c8) = sk_c9)),
% 0.42/0.59 inference(symmetry,[status(thm)],[418])).
% 0.42/0.59 tff(420,plain,
% 0.42/0.59 (multiply(sk_c10, multiply(sk_c3, sk_c10)) = multiply(sk_c10, sk_c4)),
% 0.42/0.59 inference(symmetry,[status(thm)],[409])).
% 0.42/0.59 tff(421,plain,
% 0.42/0.59 (multiply(identity, sk_c10) = multiply(multiply(sk_c10, sk_c3), sk_c10)),
% 0.42/0.59 inference(symmetry,[status(thm)],[402])).
% 0.42/0.59 tff(422,plain,
% 0.42/0.59 (sk_c10 = sk_c9),
% 0.42/0.59 inference(transitivity,[status(thm)],[73, 421, 72, 420, 415])).
% 0.42/0.59 tff(423,plain,
% 0.42/0.59 (multiply(sk_c10, sk_c8) = multiply(sk_c9, sk_c8)),
% 0.42/0.59 inference(monotonicity,[status(thm)],[422])).
% 0.42/0.59 tff(424,plain,
% 0.42/0.59 (multiply(sk_c10, sk_c8) = sk_c10),
% 0.42/0.59 inference(transitivity,[status(thm)],[423, 119])).
% 0.42/0.59 tff(425,plain,
% 0.42/0.59 (multiply(sk_c10, sk_c8) = sk_c9),
% 0.42/0.59 inference(modus_ponens,[status(thm)],[424, 419])).
% 0.42/0.59 tff(426,plain,
% 0.42/0.59 ($false),
% 0.42/0.59 inference(unit_resolution,[status(thm)],[403, 425])).
% 0.42/0.59 tff(427,plain,(multiply(sk_c10, sk_c8) = sk_c9), inference(lemma,lemma(discharge,[]))).
% 0.42/0.59 tff(428,plain,
% 0.42/0.59 (multiply(sk_c9, multiply(sk_c10, sk_c8)) = multiply(inverse(sk_c10), sk_c9)),
% 0.42/0.59 inference(monotonicity,[status(thm)],[40, 427])).
% 0.42/0.59 tff(429,plain,
% 0.42/0.59 (sk_c8 = multiply(sk_c9, sk_c9)),
% 0.42/0.59 inference(transitivity,[status(thm)],[114, 374, 373, 428, 121])).
% 0.42/0.59 tff(430,plain,
% 0.42/0.59 (multiply(sk_c9, sk_c8) = multiply(sk_c9, multiply(sk_c9, sk_c9))),
% 0.42/0.59 inference(monotonicity,[status(thm)],[429])).
% 0.42/0.59 tff(431,plain,
% 0.42/0.59 (multiply(sk_c9, multiply(sk_c9, sk_c9)) = multiply(sk_c9, sk_c8)),
% 0.42/0.59 inference(symmetry,[status(thm)],[430])).
% 0.42/0.59 tff(432,plain,
% 0.42/0.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c9, sk_c9), sk_c9) = multiply(sk_c9, multiply(sk_c9, sk_c9)))),
% 0.42/0.59 inference(quant_inst,[status(thm)],[])).
% 0.42/0.59 tff(433,plain,
% 0.42/0.59 (multiply(multiply(sk_c9, sk_c9), sk_c9) = multiply(sk_c9, multiply(sk_c9, sk_c9))),
% 0.42/0.59 inference(unit_resolution,[status(thm)],[432, 50])).
% 0.42/0.59 tff(434,plain,
% 0.42/0.59 (multiply(inverse(sk_c10), sk_c9) = multiply(sk_c9, multiply(sk_c10, sk_c8))),
% 0.42/0.59 inference(symmetry,[status(thm)],[428])).
% 0.42/0.59 tff(435,plain,
% 0.42/0.59 (multiply(sk_c9, sk_c9) = sk_c8),
% 0.42/0.59 inference(transitivity,[status(thm)],[120, 434, 379, 378, 113])).
% 0.42/0.59 tff(436,plain,
% 0.42/0.59 (multiply(multiply(sk_c9, sk_c9), sk_c9) = multiply(sk_c8, sk_c9)),
% 0.42/0.59 inference(monotonicity,[status(thm)],[435])).
% 0.42/0.59 tff(437,plain,
% 0.42/0.59 (multiply(sk_c8, sk_c9) = multiply(multiply(sk_c9, sk_c9), sk_c9)),
% 0.42/0.59 inference(symmetry,[status(thm)],[436])).
% 0.42/0.59 tff(438,plain,
% 0.42/0.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c9, sk_c8), sk_c8) = multiply(sk_c9, multiply(sk_c8, sk_c8)))),
% 0.42/0.59 inference(quant_inst,[status(thm)],[])).
% 0.42/0.59 tff(439,plain,
% 0.42/0.59 (multiply(multiply(sk_c9, sk_c8), sk_c8) = multiply(sk_c9, multiply(sk_c8, sk_c8))),
% 0.42/0.59 inference(unit_resolution,[status(thm)],[438, 50])).
% 0.42/0.59 tff(440,plain,
% 0.42/0.59 (sk_c10 = multiply(sk_c9, sk_c8)),
% 0.42/0.59 inference(symmetry,[status(thm)],[119])).
% 0.42/0.59 tff(441,plain,
% 0.42/0.59 (multiply(sk_c10, sk_c8) = multiply(multiply(sk_c9, sk_c8), sk_c8)),
% 0.42/0.59 inference(monotonicity,[status(thm)],[440])).
% 0.42/0.59 tff(442,plain,
% 0.42/0.59 (sk_c9 = multiply(sk_c10, sk_c8)),
% 0.42/0.59 inference(symmetry,[status(thm)],[427])).
% 0.42/0.59 tff(443,plain,
% 0.42/0.59 (sk_c9 = multiply(sk_c9, multiply(sk_c8, sk_c8))),
% 0.42/0.59 inference(transitivity,[status(thm)],[442, 441, 439])).
% 0.42/0.59 tff(444,plain,
% 0.42/0.59 (multiply(sk_c8, sk_c9) = multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8)))),
% 0.42/0.59 inference(monotonicity,[status(thm)],[443])).
% 0.42/0.59 tff(445,plain,
% 0.42/0.59 (multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8))) = multiply(sk_c8, sk_c9)),
% 0.42/0.59 inference(symmetry,[status(thm)],[444])).
% 0.42/0.59 tff(446,plain,
% 0.42/0.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c9), multiply(sk_c8, sk_c8)) = multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8))))),
% 0.42/0.59 inference(quant_inst,[status(thm)],[])).
% 0.42/0.59 tff(447,plain,
% 0.42/0.59 (multiply(multiply(sk_c8, sk_c9), multiply(sk_c8, sk_c8)) = multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8)))),
% 0.42/0.59 inference(unit_resolution,[status(thm)],[446, 50])).
% 0.42/0.59 tff(448,plain,
% 0.42/0.59 (multiply(sk_c8, sk_c8) = multiply(multiply(identity, sk_c8), sk_c8)),
% 0.42/0.59 inference(monotonicity,[status(thm)],[114])).
% 0.42/0.59 tff(449,plain,
% 0.42/0.59 (multiply(multiply(identity, sk_c8), sk_c8) = multiply(sk_c8, sk_c8)),
% 0.42/0.59 inference(symmetry,[status(thm)],[448])).
% 0.42/0.59 tff(450,plain,
% 0.42/0.59 ((~![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)))),
% 0.42/0.59 inference(quant_inst,[status(thm)],[])).
% 0.42/0.59 tff(451,plain,
% 0.42/0.59 (multiply(multiply(identity, sk_c8), sk_c8) = multiply(identity, multiply(sk_c8, sk_c8))),
% 0.42/0.59 inference(unit_resolution,[status(thm)],[450, 50])).
% 0.42/0.59 tff(452,plain,
% 0.42/0.59 (multiply(identity, multiply(sk_c8, sk_c8)) = multiply(multiply(identity, sk_c8), sk_c8)),
% 0.42/0.59 inference(symmetry,[status(thm)],[451])).
% 0.42/0.59 tff(453,plain,
% 0.42/0.59 (multiply(identity, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c9, sk_c10), multiply(sk_c8, sk_c8))),
% 0.42/0.59 inference(monotonicity,[status(thm)],[351])).
% 0.42/0.59 tff(454,plain,
% 0.42/0.59 (multiply(multiply(sk_c9, sk_c10), multiply(sk_c8, sk_c8)) = multiply(identity, multiply(sk_c8, sk_c8))),
% 0.42/0.59 inference(symmetry,[status(thm)],[453])).
% 0.42/0.59 tff(455,plain,
% 0.42/0.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c9, sk_c10), multiply(sk_c8, sk_c8)) = multiply(sk_c9, multiply(sk_c10, multiply(sk_c8, sk_c8))))),
% 0.42/0.59 inference(quant_inst,[status(thm)],[])).
% 0.42/0.59 tff(456,plain,
% 0.42/0.59 (multiply(multiply(sk_c9, sk_c10), multiply(sk_c8, sk_c8)) = multiply(sk_c9, multiply(sk_c10, multiply(sk_c8, sk_c8)))),
% 0.42/0.59 inference(unit_resolution,[status(thm)],[455, 50])).
% 0.42/0.59 tff(457,plain,
% 0.42/0.59 (multiply(sk_c9, multiply(sk_c10, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c9, sk_c10), multiply(sk_c8, sk_c8))),
% 0.42/0.59 inference(symmetry,[status(thm)],[456])).
% 0.42/0.59 tff(458,plain,
% 0.42/0.59 (multiply(multiply(sk_c10, sk_c8), sk_c8) = multiply(sk_c9, sk_c8)),
% 0.42/0.59 inference(monotonicity,[status(thm)],[427])).
% 0.42/0.59 tff(459,plain,
% 0.42/0.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c10, sk_c8), sk_c8) = multiply(sk_c10, multiply(sk_c8, sk_c8)))),
% 0.42/0.59 inference(quant_inst,[status(thm)],[])).
% 0.42/0.59 tff(460,plain,
% 0.42/0.59 (multiply(multiply(sk_c10, sk_c8), sk_c8) = multiply(sk_c10, multiply(sk_c8, sk_c8))),
% 0.42/0.59 inference(unit_resolution,[status(thm)],[459, 50])).
% 0.42/0.59 tff(461,plain,
% 0.42/0.59 (multiply(sk_c10, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c10, sk_c8), sk_c8)),
% 0.42/0.59 inference(symmetry,[status(thm)],[460])).
% 0.42/0.59 tff(462,plain,
% 0.42/0.59 (multiply(sk_c10, multiply(sk_c8, sk_c8)) = sk_c10),
% 0.42/0.59 inference(transitivity,[status(thm)],[461, 458, 119])).
% 0.42/0.59 tff(463,plain,
% 0.42/0.59 (multiply(sk_c9, multiply(sk_c10, multiply(sk_c8, sk_c8))) = multiply(inverse(sk_c10), sk_c10)),
% 0.42/0.59 inference(monotonicity,[status(thm)],[40, 462])).
% 0.42/0.59 tff(464,plain,
% 0.42/0.59 (multiply(inverse(sk_c10), sk_c10) = multiply(sk_c9, multiply(sk_c10, multiply(sk_c8, sk_c8)))),
% 0.42/0.59 inference(symmetry,[status(thm)],[463])).
% 0.42/0.59 tff(465,plain,
% 0.42/0.59 (multiply(multiply(sk_c9, sk_c8), sk_c8) = multiply(sk_c10, sk_c8)),
% 0.42/0.59 inference(symmetry,[status(thm)],[441])).
% 0.42/0.59 tff(466,plain,
% 0.42/0.59 (multiply(sk_c9, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c9, sk_c8), sk_c8)),
% 0.42/0.59 inference(symmetry,[status(thm)],[439])).
% 0.42/0.59 tff(467,plain,
% 0.42/0.59 (multiply(sk_c9, sk_c8) = inverse(sk_c1)),
% 0.42/0.59 inference(transitivity,[status(thm)],[119, 261])).
% 0.42/0.59 tff(468,plain,
% 0.42/0.59 (multiply(multiply(sk_c9, sk_c8), sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 0.42/0.59 inference(monotonicity,[status(thm)],[467])).
% 0.42/0.59 tff(469,plain,
% 0.42/0.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c9, sk_c8), sk_c1) = multiply(sk_c9, multiply(sk_c8, sk_c1)))),
% 0.42/0.59 inference(quant_inst,[status(thm)],[])).
% 0.42/0.59 tff(470,plain,
% 0.42/0.59 (multiply(multiply(sk_c9, sk_c8), sk_c1) = multiply(sk_c9, multiply(sk_c8, sk_c1))),
% 0.42/0.59 inference(unit_resolution,[status(thm)],[469, 50])).
% 0.42/0.59 tff(471,plain,
% 0.42/0.59 (multiply(sk_c9, multiply(sk_c8, sk_c1)) = multiply(multiply(sk_c9, sk_c8), sk_c1)),
% 0.42/0.59 inference(symmetry,[status(thm)],[470])).
% 0.42/0.59 tff(472,plain,
% 0.42/0.59 (multiply(multiply(sk_c10, sk_c8), multiply(sk_c8, sk_c1)) = multiply(sk_c9, multiply(sk_c8, sk_c1))),
% 0.42/0.59 inference(monotonicity,[status(thm)],[427])).
% 0.42/0.59 tff(473,plain,
% 0.42/0.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c10, sk_c8), multiply(sk_c8, sk_c1)) = multiply(sk_c10, multiply(sk_c8, multiply(sk_c8, sk_c1))))),
% 0.42/0.59 inference(quant_inst,[status(thm)],[])).
% 0.42/0.59 tff(474,plain,
% 0.42/0.59 (multiply(multiply(sk_c10, sk_c8), multiply(sk_c8, sk_c1)) = multiply(sk_c10, multiply(sk_c8, multiply(sk_c8, sk_c1)))),
% 0.42/0.59 inference(unit_resolution,[status(thm)],[473, 50])).
% 0.42/0.59 tff(475,plain,
% 0.42/0.59 (multiply(sk_c10, multiply(sk_c8, multiply(sk_c8, sk_c1))) = multiply(multiply(sk_c10, sk_c8), multiply(sk_c8, sk_c1))),
% 0.42/0.59 inference(symmetry,[status(thm)],[474])).
% 0.42/0.59 tff(476,plain,
% 0.42/0.59 (multiply(sk_c10, multiply(sk_c8, multiply(sk_c8, sk_c1))) = multiply(sk_c8, sk_c8)),
% 0.42/0.59 inference(transitivity,[status(thm)],[475, 472, 471, 468, 265, 174, 464, 457, 454, 452, 449])).
% 0.42/0.59 tff(477,plain,
% 0.42/0.59 (multiply(sk_c9, multiply(sk_c10, multiply(sk_c8, multiply(sk_c8, sk_c1)))) = multiply(sk_c9, multiply(sk_c8, sk_c8))),
% 0.42/0.59 inference(monotonicity,[status(thm)],[476])).
% 0.42/0.59 tff(478,plain,
% 0.42/0.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c9, sk_c10), multiply(sk_c8, multiply(sk_c8, sk_c1))) = multiply(sk_c9, multiply(sk_c10, multiply(sk_c8, multiply(sk_c8, sk_c1)))))),
% 0.42/0.59 inference(quant_inst,[status(thm)],[])).
% 0.42/0.59 tff(479,plain,
% 0.42/0.59 (multiply(multiply(sk_c9, sk_c10), multiply(sk_c8, multiply(sk_c8, sk_c1))) = multiply(sk_c9, multiply(sk_c10, multiply(sk_c8, multiply(sk_c8, sk_c1))))),
% 0.42/0.59 inference(unit_resolution,[status(thm)],[478, 50])).
% 0.42/0.59 tff(480,plain,
% 0.42/0.59 (multiply(sk_c8, sk_c8) = multiply(sk_c9, sk_c10)),
% 0.42/0.59 inference(transitivity,[status(thm)],[448, 451, 453, 456, 463, 350])).
% 0.42/0.59 tff(481,plain,
% 0.42/0.59 (multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, multiply(sk_c8, sk_c1))) = multiply(multiply(sk_c9, sk_c10), multiply(sk_c8, multiply(sk_c8, sk_c1)))),
% 0.42/0.59 inference(monotonicity,[status(thm)],[480])).
% 0.42/0.59 tff(482,plain,
% 0.42/0.59 (identity = multiply(sk_c8, sk_c8)),
% 0.42/0.59 inference(transitivity,[status(thm)],[174, 464, 457, 454, 452, 449])).
% 0.42/0.59 tff(483,plain,
% 0.42/0.59 (multiply(identity, multiply(sk_c8, multiply(sk_c8, sk_c1))) = multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, multiply(sk_c8, sk_c1)))),
% 0.42/0.59 inference(monotonicity,[status(thm)],[482])).
% 0.42/0.59 tff(484,plain,
% 0.42/0.59 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c8, multiply(sk_c8, sk_c1))) = multiply(sk_c8, multiply(sk_c8, sk_c1)))),
% 0.42/0.59 inference(quant_inst,[status(thm)],[])).
% 0.42/0.59 tff(485,plain,
% 0.42/0.59 (multiply(identity, multiply(sk_c8, multiply(sk_c8, sk_c1))) = multiply(sk_c8, multiply(sk_c8, sk_c1))),
% 0.42/0.59 inference(unit_resolution,[status(thm)],[484, 7])).
% 0.42/0.59 tff(486,plain,
% 0.42/0.59 (multiply(sk_c8, multiply(sk_c8, sk_c1)) = multiply(identity, multiply(sk_c8, multiply(sk_c8, sk_c1)))),
% 0.42/0.59 inference(symmetry,[status(thm)],[485])).
% 0.42/0.59 tff(487,plain,
% 0.42/0.59 (multiply(sk_c8, multiply(sk_c8, sk_c1)) = inverse(sk_c10)),
% 0.42/0.59 inference(transitivity,[status(thm)],[486, 483, 481, 479, 477, 466, 465, 427, 40])).
% 0.42/0.59 tff(488,plain,
% 0.42/0.59 (multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), sk_c10) = multiply(inverse(sk_c10), sk_c10)),
% 0.42/0.59 inference(monotonicity,[status(thm)],[487])).
% 0.42/0.59 tff(489,plain,
% 0.42/0.59 (multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, multiply(sk_c8, sk_c1))) = multiply(identity, multiply(sk_c8, multiply(sk_c8, sk_c1)))),
% 0.42/0.60 inference(symmetry,[status(thm)],[483])).
% 0.42/0.60 tff(490,plain,
% 0.42/0.60 (multiply(multiply(sk_c9, sk_c10), multiply(sk_c8, multiply(sk_c8, sk_c1))) = multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, multiply(sk_c8, sk_c1)))),
% 0.42/0.60 inference(symmetry,[status(thm)],[481])).
% 0.42/0.60 tff(491,plain,
% 0.42/0.60 (multiply(sk_c9, multiply(sk_c10, multiply(sk_c8, multiply(sk_c8, sk_c1)))) = multiply(multiply(sk_c9, sk_c10), multiply(sk_c8, multiply(sk_c8, sk_c1)))),
% 0.42/0.60 inference(symmetry,[status(thm)],[479])).
% 0.42/0.60 tff(492,plain,
% 0.42/0.60 (multiply(sk_c9, multiply(sk_c8, sk_c8)) = multiply(sk_c9, multiply(sk_c10, multiply(sk_c8, multiply(sk_c8, sk_c1))))),
% 0.42/0.60 inference(symmetry,[status(thm)],[477])).
% 0.42/0.60 tff(493,plain,
% 0.42/0.60 (multiply(sk_c9, sk_c8) = inverse(sk_c3)),
% 0.42/0.60 inference(transitivity,[status(thm)],[119, 399])).
% 0.42/0.60 tff(494,plain,
% 0.42/0.60 (multiply(multiply(sk_c9, sk_c8), sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 0.42/0.60 inference(monotonicity,[status(thm)],[493])).
% 0.42/0.60 tff(495,plain,
% 0.42/0.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c9, sk_c8), sk_c3) = multiply(sk_c9, multiply(sk_c8, sk_c3)))),
% 0.42/0.60 inference(quant_inst,[status(thm)],[])).
% 0.42/0.60 tff(496,plain,
% 0.42/0.60 (multiply(multiply(sk_c9, sk_c8), sk_c3) = multiply(sk_c9, multiply(sk_c8, sk_c3))),
% 0.42/0.60 inference(unit_resolution,[status(thm)],[495, 50])).
% 0.42/0.60 tff(497,plain,
% 0.42/0.60 (multiply(sk_c9, multiply(sk_c8, sk_c3)) = multiply(multiply(sk_c9, sk_c8), sk_c3)),
% 0.42/0.60 inference(symmetry,[status(thm)],[496])).
% 0.42/0.60 tff(498,plain,
% 0.42/0.60 (multiply(multiply(sk_c10, sk_c8), multiply(sk_c8, sk_c3)) = multiply(sk_c9, multiply(sk_c8, sk_c3))),
% 0.42/0.60 inference(monotonicity,[status(thm)],[427])).
% 0.42/0.60 tff(499,plain,
% 0.42/0.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c10, sk_c8), multiply(sk_c8, sk_c3)) = multiply(sk_c10, multiply(sk_c8, multiply(sk_c8, sk_c3))))),
% 0.42/0.60 inference(quant_inst,[status(thm)],[])).
% 0.42/0.60 tff(500,plain,
% 0.42/0.60 (multiply(multiply(sk_c10, sk_c8), multiply(sk_c8, sk_c3)) = multiply(sk_c10, multiply(sk_c8, multiply(sk_c8, sk_c3)))),
% 0.42/0.60 inference(unit_resolution,[status(thm)],[499, 50])).
% 0.42/0.60 tff(501,plain,
% 0.42/0.60 (multiply(sk_c10, multiply(sk_c8, multiply(sk_c8, sk_c3))) = multiply(multiply(sk_c10, sk_c8), multiply(sk_c8, sk_c3))),
% 0.42/0.60 inference(symmetry,[status(thm)],[500])).
% 0.42/0.60 tff(502,plain,
% 0.42/0.60 (multiply(sk_c10, multiply(sk_c8, multiply(sk_c8, sk_c3))) = multiply(sk_c8, sk_c8)),
% 0.42/0.60 inference(transitivity,[status(thm)],[501, 498, 497, 494, 30, 174, 464, 457, 454, 452, 449])).
% 0.42/0.60 tff(503,plain,
% 0.42/0.60 (multiply(sk_c9, multiply(sk_c10, multiply(sk_c8, multiply(sk_c8, sk_c3)))) = multiply(sk_c9, multiply(sk_c8, sk_c8))),
% 0.42/0.60 inference(monotonicity,[status(thm)],[502])).
% 0.42/0.60 tff(504,plain,
% 0.42/0.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c9, sk_c10), multiply(sk_c8, multiply(sk_c8, sk_c3))) = multiply(sk_c9, multiply(sk_c10, multiply(sk_c8, multiply(sk_c8, sk_c3)))))),
% 0.42/0.60 inference(quant_inst,[status(thm)],[])).
% 0.42/0.60 tff(505,plain,
% 0.42/0.60 (multiply(multiply(sk_c9, sk_c10), multiply(sk_c8, multiply(sk_c8, sk_c3))) = multiply(sk_c9, multiply(sk_c10, multiply(sk_c8, multiply(sk_c8, sk_c3))))),
% 0.42/0.60 inference(unit_resolution,[status(thm)],[504, 50])).
% 0.42/0.60 tff(506,plain,
% 0.42/0.60 (multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, multiply(sk_c8, sk_c3))) = multiply(multiply(sk_c9, sk_c10), multiply(sk_c8, multiply(sk_c8, sk_c3)))),
% 0.42/0.60 inference(monotonicity,[status(thm)],[480])).
% 0.42/0.60 tff(507,plain,
% 0.42/0.60 (multiply(identity, multiply(sk_c8, multiply(sk_c8, sk_c3))) = multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, multiply(sk_c8, sk_c3)))),
% 0.42/0.60 inference(monotonicity,[status(thm)],[482])).
% 0.42/0.60 tff(508,plain,
% 0.42/0.60 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c8, multiply(sk_c8, sk_c3))) = multiply(sk_c8, multiply(sk_c8, sk_c3)))),
% 0.42/0.60 inference(quant_inst,[status(thm)],[])).
% 0.42/0.60 tff(509,plain,
% 0.42/0.60 (multiply(identity, multiply(sk_c8, multiply(sk_c8, sk_c3))) = multiply(sk_c8, multiply(sk_c8, sk_c3))),
% 0.42/0.60 inference(unit_resolution,[status(thm)],[508, 7])).
% 0.42/0.60 tff(510,plain,
% 0.42/0.60 (multiply(sk_c8, multiply(sk_c8, sk_c3)) = multiply(identity, multiply(sk_c8, multiply(sk_c8, sk_c3)))),
% 0.42/0.60 inference(symmetry,[status(thm)],[509])).
% 0.42/0.60 tff(511,plain,
% 0.42/0.60 (multiply(sk_c8, multiply(sk_c8, sk_c3)) = multiply(sk_c8, multiply(sk_c8, sk_c1))),
% 0.42/0.60 inference(transitivity,[status(thm)],[510, 507, 506, 505, 503, 492, 491, 490, 489, 485])).
% 0.42/0.60 tff(512,plain,
% 0.42/0.60 (multiply(multiply(sk_c8, multiply(sk_c8, sk_c3)), sk_c10) = multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), sk_c10)),
% 0.42/0.60 inference(monotonicity,[status(thm)],[511])).
% 0.42/0.60 tff(513,plain,
% 0.42/0.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c8), sk_c3) = multiply(sk_c8, multiply(sk_c8, sk_c3)))),
% 0.42/0.60 inference(quant_inst,[status(thm)],[])).
% 0.42/0.60 tff(514,plain,
% 0.42/0.60 (multiply(multiply(sk_c8, sk_c8), sk_c3) = multiply(sk_c8, multiply(sk_c8, sk_c3))),
% 0.42/0.60 inference(unit_resolution,[status(thm)],[513, 50])).
% 0.42/0.60 tff(515,plain,
% 0.42/0.60 (multiply(identity, sk_c3) = multiply(multiply(sk_c8, sk_c8), sk_c3)),
% 0.42/0.60 inference(monotonicity,[status(thm)],[482])).
% 0.42/0.60 tff(516,plain,
% 0.42/0.60 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c3) = sk_c3)),
% 0.42/0.60 inference(quant_inst,[status(thm)],[])).
% 0.42/0.60 tff(517,plain,
% 0.42/0.60 (multiply(identity, sk_c3) = sk_c3),
% 0.42/0.60 inference(unit_resolution,[status(thm)],[516, 7])).
% 0.42/0.60 tff(518,plain,
% 0.42/0.60 (sk_c3 = multiply(identity, sk_c3)),
% 0.42/0.60 inference(symmetry,[status(thm)],[517])).
% 0.42/0.60 tff(519,plain,
% 0.42/0.60 (sk_c3 = multiply(sk_c8, multiply(sk_c8, sk_c3))),
% 0.42/0.60 inference(transitivity,[status(thm)],[518, 515, 514])).
% 0.42/0.60 tff(520,plain,
% 0.42/0.60 (multiply(sk_c3, sk_c10) = multiply(multiply(sk_c8, multiply(sk_c8, sk_c3)), sk_c10)),
% 0.42/0.60 inference(monotonicity,[status(thm)],[519])).
% 0.42/0.60 tff(521,plain,
% 0.42/0.60 (multiply(multiply(sk_c9, sk_c8), sk_c8) = multiply(sk_c10, sk_c8)),
% 0.42/0.60 inference(monotonicity,[status(thm)],[119])).
% 0.42/0.60 tff(522,plain,
% 0.42/0.60 (multiply(sk_c10, sk_c8) = multiply(multiply(sk_c9, sk_c8), sk_c8)),
% 0.42/0.60 inference(symmetry,[status(thm)],[521])).
% 0.42/0.60 tff(523,plain,
% 0.42/0.60 (inverse(sk_c10) = multiply(sk_c8, multiply(sk_c8, sk_c1))),
% 0.42/0.60 inference(transitivity,[status(thm)],[39, 442, 522, 439, 492, 491, 490, 489, 485])).
% 0.42/0.60 tff(524,plain,
% 0.42/0.60 (multiply(sk_c10, inverse(sk_c10)) = multiply(sk_c10, multiply(sk_c8, multiply(sk_c8, sk_c1)))),
% 0.42/0.60 inference(monotonicity,[status(thm)],[523])).
% 0.42/0.60 tff(525,plain,
% 0.42/0.60 (multiply(sk_c10, multiply(sk_c8, multiply(sk_c8, sk_c1))) = multiply(sk_c10, inverse(sk_c10))),
% 0.42/0.60 inference(symmetry,[status(thm)],[524])).
% 0.42/0.60 tff(526,plain,
% 0.42/0.60 (multiply(sk_c9, multiply(sk_c8, sk_c1)) = multiply(multiply(sk_c10, sk_c8), multiply(sk_c8, sk_c1))),
% 0.42/0.60 inference(symmetry,[status(thm)],[472])).
% 0.42/0.60 tff(527,plain,
% 0.42/0.60 (multiply(inverse(sk_c1), sk_c1) = multiply(multiply(sk_c9, sk_c8), sk_c1)),
% 0.42/0.60 inference(symmetry,[status(thm)],[468])).
% 0.42/0.60 tff(528,plain,
% 0.42/0.60 (multiply(sk_c8, multiply(sk_c8, sk_c1)) = inverse(sk_c10)),
% 0.42/0.60 inference(transitivity,[status(thm)],[486, 483, 481, 479, 477, 466, 521, 427, 40])).
% 0.42/0.60 tff(529,plain,
% 0.42/0.60 (multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), sk_c10) = multiply(inverse(sk_c10), sk_c10)),
% 0.42/0.60 inference(monotonicity,[status(thm)],[528])).
% 0.42/0.60 tff(530,plain,
% 0.42/0.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c8), sk_c1) = multiply(sk_c8, multiply(sk_c8, sk_c1)))),
% 0.42/0.60 inference(quant_inst,[status(thm)],[])).
% 0.42/0.60 tff(531,plain,
% 0.42/0.60 (multiply(multiply(sk_c8, sk_c8), sk_c1) = multiply(sk_c8, multiply(sk_c8, sk_c1))),
% 0.42/0.60 inference(unit_resolution,[status(thm)],[530, 50])).
% 0.42/0.60 tff(532,plain,
% 0.42/0.60 (multiply(identity, sk_c1) = multiply(multiply(sk_c8, sk_c8), sk_c1)),
% 0.42/0.60 inference(monotonicity,[status(thm)],[482])).
% 0.42/0.60 tff(533,plain,
% 0.42/0.60 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c1) = sk_c1)),
% 0.42/0.60 inference(quant_inst,[status(thm)],[])).
% 0.42/0.60 tff(534,plain,
% 0.42/0.60 (multiply(identity, sk_c1) = sk_c1),
% 0.42/0.60 inference(unit_resolution,[status(thm)],[533, 7])).
% 0.42/0.60 tff(535,plain,
% 0.42/0.60 (sk_c1 = multiply(identity, sk_c1)),
% 0.42/0.60 inference(symmetry,[status(thm)],[534])).
% 0.42/0.60 tff(536,plain,
% 0.42/0.60 (sk_c1 = multiply(sk_c8, multiply(sk_c8, sk_c1))),
% 0.42/0.60 inference(transitivity,[status(thm)],[535, 532, 531])).
% 0.42/0.60 tff(537,plain,
% 0.42/0.60 (multiply(sk_c1, sk_c10) = multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), sk_c10)),
% 0.42/0.60 inference(monotonicity,[status(thm)],[536])).
% 0.42/0.60 tff(538,plain,
% 0.42/0.60 (multiply(sk_c1, inverse(sk_c1)) = multiply(sk_c1, sk_c10)),
% 0.42/0.60 inference(monotonicity,[status(thm)],[260])).
% 0.42/0.60 tff(539,plain,
% 0.42/0.60 (multiply(sk_c1, inverse(sk_c1)) = multiply(sk_c10, inverse(sk_c10))),
% 0.42/0.60 inference(transitivity,[status(thm)],[538, 537, 529, 36, 266, 527, 470, 526, 474, 525])).
% 0.42/0.60 tff(540,plain,
% 0.42/0.60 ((multiply(sk_c1, inverse(sk_c1)) = sk_c8) <=> (multiply(sk_c10, inverse(sk_c10)) = sk_c8)),
% 0.42/0.60 inference(monotonicity,[status(thm)],[539])).
% 0.42/0.60 tff(541,plain,
% 0.42/0.60 ((multiply(sk_c10, inverse(sk_c10)) = sk_c8) <=> (multiply(sk_c1, inverse(sk_c1)) = sk_c8)),
% 0.42/0.60 inference(symmetry,[status(thm)],[540])).
% 0.42/0.60 tff(542,plain,
% 0.42/0.60 ((~(multiply(sk_c10, inverse(sk_c10)) = sk_c8)) <=> (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8))),
% 0.42/0.60 inference(monotonicity,[status(thm)],[541])).
% 0.42/0.60 tff(543,plain,
% 0.42/0.60 (sk_c9 = multiply(sk_c9, multiply(sk_c8, sk_c8))),
% 0.42/0.60 inference(transitivity,[status(thm)],[442, 522, 439])).
% 0.42/0.60 tff(544,plain,
% 0.42/0.60 (multiply(sk_c8, sk_c9) = multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8)))),
% 0.42/0.60 inference(monotonicity,[status(thm)],[543])).
% 0.42/0.60 tff(545,plain,
% 0.42/0.60 (multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8))) = multiply(sk_c8, sk_c9)),
% 0.42/0.60 inference(symmetry,[status(thm)],[544])).
% 0.42/0.60 tff(546,assumption,(~(multiply(sk_c3, sk_c10) = sk_c4)), introduced(assumption)).
% 0.42/0.60 tff(547,plain,
% 0.42/0.60 (((multiply(sk_c1, sk_c10) = sk_c2) | (multiply(sk_c3, sk_c10) = sk_c4)) <=> ((multiply(sk_c1, sk_c10) = sk_c2) | (multiply(sk_c3, sk_c10) = sk_c4))),
% 0.42/0.60 inference(rewrite,[status(thm)],[])).
% 0.42/0.60 tff(548,axiom,((multiply(sk_c1, sk_c10) = sk_c2) | (multiply(sk_c3, sk_c10) = sk_c4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_27')).
% 0.42/0.60 tff(549,plain,
% 0.42/0.60 ((multiply(sk_c1, sk_c10) = sk_c2) | (multiply(sk_c3, sk_c10) = sk_c4)),
% 0.42/0.60 inference(modus_ponens,[status(thm)],[548, 547])).
% 0.42/0.60 tff(550,plain,
% 0.42/0.60 (multiply(sk_c1, sk_c10) = sk_c2),
% 0.42/0.60 inference(unit_resolution,[status(thm)],[549, 546])).
% 0.42/0.60 tff(551,plain,
% 0.42/0.60 (sk_c2 = multiply(sk_c1, sk_c10)),
% 0.42/0.60 inference(symmetry,[status(thm)],[550])).
% 0.42/0.60 tff(552,plain,
% 0.42/0.60 (sk_c2 = multiply(sk_c8, sk_c8)),
% 0.42/0.60 inference(transitivity,[status(thm)],[551, 537, 529, 464, 457, 454, 452, 449])).
% 0.42/0.60 tff(553,plain,
% 0.42/0.60 (multiply(sk_c9, multiply(sk_c9, sk_c9)) = multiply(multiply(sk_c9, sk_c9), sk_c9)),
% 0.42/0.60 inference(symmetry,[status(thm)],[433])).
% 0.42/0.60 tff(554,plain,
% 0.42/0.60 (sk_c10 = multiply(sk_c8, sk_c9)),
% 0.42/0.60 inference(transitivity,[status(thm)],[440, 430, 553, 436])).
% 0.42/0.60 tff(555,plain,
% 0.42/0.60 (multiply(sk_c10, sk_c2) = multiply(multiply(sk_c8, sk_c9), multiply(sk_c8, sk_c8))),
% 0.42/0.60 inference(monotonicity,[status(thm)],[554, 552])).
% 0.42/0.60 tff(556,plain,
% 0.42/0.60 (((multiply(sk_c10, sk_c2) = sk_c9) | (multiply(sk_c3, sk_c10) = sk_c4)) <=> ((multiply(sk_c10, sk_c2) = sk_c9) | (multiply(sk_c3, sk_c10) = sk_c4))),
% 0.42/0.60 inference(rewrite,[status(thm)],[])).
% 0.42/0.60 tff(557,axiom,((multiply(sk_c10, sk_c2) = sk_c9) | (multiply(sk_c3, sk_c10) = sk_c4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_19')).
% 0.42/0.60 tff(558,plain,
% 0.42/0.60 ((multiply(sk_c10, sk_c2) = sk_c9) | (multiply(sk_c3, sk_c10) = sk_c4)),
% 0.42/0.60 inference(modus_ponens,[status(thm)],[557, 556])).
% 0.42/0.60 tff(559,plain,
% 0.42/0.60 (multiply(sk_c10, sk_c2) = sk_c9),
% 0.42/0.60 inference(unit_resolution,[status(thm)],[558, 546])).
% 0.42/0.60 tff(560,plain,
% 0.42/0.60 (sk_c9 = multiply(sk_c10, sk_c2)),
% 0.42/0.60 inference(symmetry,[status(thm)],[559])).
% 0.42/0.60 tff(561,plain,
% 0.42/0.60 (inverse(sk_c10) = sk_c10),
% 0.42/0.60 inference(transitivity,[status(thm)],[39, 560, 555, 447, 545, 437, 433, 431, 119])).
% 0.42/0.60 tff(562,plain,
% 0.42/0.60 (multiply(sk_c8, multiply(sk_c8, sk_c1)) = sk_c9),
% 0.42/0.60 inference(transitivity,[status(thm)],[486, 483, 481, 479, 477, 466, 521, 427])).
% 0.42/0.60 tff(563,plain,
% 0.42/0.60 (multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), sk_c8) = multiply(sk_c9, sk_c8)),
% 0.42/0.60 inference(monotonicity,[status(thm)],[562])).
% 0.42/0.60 tff(564,plain,
% 0.42/0.60 (multiply(sk_c1, sk_c8) = multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), sk_c8)),
% 0.42/0.60 inference(monotonicity,[status(thm)],[536])).
% 0.42/0.60 tff(565,plain,
% 0.42/0.60 (multiply(sk_c1, sk_c8) = sk_c10),
% 0.42/0.60 inference(transitivity,[status(thm)],[564, 563, 119])).
% 0.42/0.60 tff(566,plain,
% 0.42/0.60 (multiply(sk_c9, sk_c10) = multiply(sk_c8, sk_c8)),
% 0.42/0.60 inference(transitivity,[status(thm)],[41, 464, 457, 454, 452, 449])).
% 0.42/0.60 tff(567,plain,
% 0.42/0.60 (multiply(sk_c9, multiply(sk_c9, sk_c10)) = multiply(sk_c9, multiply(sk_c8, sk_c8))),
% 0.42/0.60 inference(monotonicity,[status(thm)],[566])).
% 0.42/0.60 tff(568,plain,
% 0.42/0.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c9, sk_c9), sk_c10) = multiply(sk_c9, multiply(sk_c9, sk_c10)))),
% 0.42/0.60 inference(quant_inst,[status(thm)],[])).
% 0.42/0.60 tff(569,plain,
% 0.42/0.60 (multiply(multiply(sk_c9, sk_c9), sk_c10) = multiply(sk_c9, multiply(sk_c9, sk_c10))),
% 0.42/0.60 inference(unit_resolution,[status(thm)],[568, 50])).
% 0.42/0.60 tff(570,plain,
% 0.42/0.60 (multiply(sk_c8, sk_c10) = multiply(multiply(sk_c9, sk_c9), sk_c10)),
% 0.42/0.60 inference(monotonicity,[status(thm)],[429])).
% 0.42/0.60 tff(571,plain,
% 0.42/0.60 (multiply(sk_c8, multiply(sk_c9, sk_c8)) = multiply(sk_c8, sk_c10)),
% 0.42/0.60 inference(monotonicity,[status(thm)],[119])).
% 0.42/0.60 tff(572,plain,
% 0.42/0.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c9), sk_c8) = multiply(sk_c8, multiply(sk_c9, sk_c8)))),
% 0.42/0.60 inference(quant_inst,[status(thm)],[])).
% 0.42/0.60 tff(573,plain,
% 0.42/0.60 (multiply(multiply(sk_c8, sk_c9), sk_c8) = multiply(sk_c8, multiply(sk_c9, sk_c8))),
% 0.42/0.60 inference(unit_resolution,[status(thm)],[572, 50])).
% 0.42/0.60 tff(574,plain,
% 0.42/0.60 (inverse(sk_c10) = multiply(sk_c10, sk_c8)),
% 0.42/0.60 inference(transitivity,[status(thm)],[39, 442])).
% 0.42/0.60 tff(575,plain,
% 0.42/0.60 (multiply(inverse(sk_c10), sk_c9) = multiply(multiply(sk_c10, sk_c8), sk_c9)),
% 0.42/0.60 inference(monotonicity,[status(thm)],[574])).
% 0.42/0.60 tff(576,plain,
% 0.42/0.60 (multiply(multiply(sk_c10, sk_c8), sk_c9) = multiply(inverse(sk_c10), sk_c9)),
% 0.42/0.60 inference(symmetry,[status(thm)],[575])).
% 0.42/0.60 tff(577,plain,
% 0.42/0.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c10, sk_c8), sk_c9) = multiply(sk_c10, multiply(sk_c8, sk_c9)))),
% 0.42/0.60 inference(quant_inst,[status(thm)],[])).
% 0.42/0.60 tff(578,plain,
% 0.42/0.60 (multiply(multiply(sk_c10, sk_c8), sk_c9) = multiply(sk_c10, multiply(sk_c8, sk_c9))),
% 0.42/0.60 inference(unit_resolution,[status(thm)],[577, 50])).
% 0.42/0.60 tff(579,plain,
% 0.42/0.60 (multiply(sk_c10, multiply(sk_c8, sk_c9)) = multiply(multiply(sk_c10, sk_c8), sk_c9)),
% 0.42/0.60 inference(symmetry,[status(thm)],[578])).
% 0.42/0.60 tff(580,plain,
% 0.42/0.60 (multiply(sk_c10, multiply(sk_c8, sk_c9)) = multiply(multiply(sk_c9, sk_c8), multiply(sk_c8, sk_c9))),
% 0.42/0.60 inference(monotonicity,[status(thm)],[440])).
% 0.42/0.60 tff(581,plain,
% 0.42/0.60 (multiply(multiply(sk_c9, sk_c8), multiply(sk_c8, sk_c9)) = multiply(sk_c10, multiply(sk_c8, sk_c9))),
% 0.42/0.60 inference(symmetry,[status(thm)],[580])).
% 0.42/0.60 tff(582,plain,
% 0.42/0.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c9, sk_c8), multiply(sk_c8, sk_c9)) = multiply(sk_c9, multiply(sk_c8, multiply(sk_c8, sk_c9))))),
% 0.42/0.60 inference(quant_inst,[status(thm)],[])).
% 0.42/0.60 tff(583,plain,
% 0.42/0.60 (multiply(multiply(sk_c9, sk_c8), multiply(sk_c8, sk_c9)) = multiply(sk_c9, multiply(sk_c8, multiply(sk_c8, sk_c9)))),
% 0.42/0.60 inference(unit_resolution,[status(thm)],[582, 50])).
% 0.42/0.60 tff(584,plain,
% 0.42/0.60 (multiply(sk_c9, multiply(sk_c8, multiply(sk_c8, sk_c9))) = multiply(multiply(sk_c9, sk_c8), multiply(sk_c8, sk_c9))),
% 0.42/0.60 inference(symmetry,[status(thm)],[583])).
% 0.42/0.60 tff(585,plain,
% 0.42/0.60 (multiply(inverse(sk_c10), sk_c9) = sk_c8),
% 0.42/0.60 inference(transitivity,[status(thm)],[434, 379, 378, 113])).
% 0.42/0.60 tff(586,plain,
% 0.42/0.60 (multiply(sk_c10, multiply(inverse(sk_c10), sk_c9)) = multiply(sk_c10, sk_c8)),
% 0.42/0.60 inference(monotonicity,[status(thm)],[585])).
% 0.42/0.60 tff(587,plain,
% 0.42/0.60 (multiply(sk_c10, sk_c8) = multiply(sk_c10, multiply(inverse(sk_c10), sk_c9))),
% 0.42/0.60 inference(symmetry,[status(thm)],[586])).
% 0.42/0.60 tff(588,plain,
% 0.42/0.60 (sk_c9 = multiply(sk_c10, multiply(inverse(sk_c10), sk_c9))),
% 0.42/0.60 inference(transitivity,[status(thm)],[442, 587])).
% 0.42/0.60 tff(589,plain,
% 0.42/0.60 (multiply(sk_c9, multiply(sk_c8, multiply(sk_c8, sk_c9))) = multiply(multiply(sk_c10, multiply(inverse(sk_c10), sk_c9)), multiply(sk_c8, multiply(sk_c8, sk_c9)))),
% 0.42/0.60 inference(monotonicity,[status(thm)],[588])).
% 0.42/0.60 tff(590,plain,
% 0.42/0.60 (multiply(multiply(sk_c10, multiply(inverse(sk_c10), sk_c9)), multiply(sk_c8, multiply(sk_c8, sk_c9))) = multiply(sk_c9, multiply(sk_c8, multiply(sk_c8, sk_c9)))),
% 0.42/0.60 inference(symmetry,[status(thm)],[589])).
% 0.42/0.60 tff(591,plain,
% 0.42/0.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c10, multiply(inverse(sk_c10), sk_c9)), multiply(sk_c8, multiply(sk_c8, sk_c9))) = multiply(sk_c10, multiply(multiply(inverse(sk_c10), sk_c9), multiply(sk_c8, multiply(sk_c8, sk_c9)))))),
% 0.42/0.60 inference(quant_inst,[status(thm)],[])).
% 0.42/0.60 tff(592,plain,
% 0.42/0.60 (multiply(multiply(sk_c10, multiply(inverse(sk_c10), sk_c9)), multiply(sk_c8, multiply(sk_c8, sk_c9))) = multiply(sk_c10, multiply(multiply(inverse(sk_c10), sk_c9), multiply(sk_c8, multiply(sk_c8, sk_c9))))),
% 0.42/0.60 inference(unit_resolution,[status(thm)],[591, 50])).
% 0.42/0.60 tff(593,plain,
% 0.42/0.60 (multiply(sk_c10, multiply(multiply(inverse(sk_c10), sk_c9), multiply(sk_c8, multiply(sk_c8, sk_c9)))) = multiply(multiply(sk_c10, multiply(inverse(sk_c10), sk_c9)), multiply(sk_c8, multiply(sk_c8, sk_c9)))),
% 0.42/0.60 inference(symmetry,[status(thm)],[592])).
% 0.42/0.60 tff(594,plain,
% 0.42/0.60 (multiply(sk_c9, multiply(sk_c8, multiply(sk_c8, sk_c9))) = sk_c8),
% 0.42/0.60 inference(transitivity,[status(thm)],[584, 581, 579, 576, 434, 379, 378, 113])).
% 0.42/0.60 tff(595,plain,
% 0.42/0.60 (multiply(sk_c9, multiply(sk_c9, multiply(sk_c8, multiply(sk_c8, sk_c9)))) = multiply(sk_c9, sk_c8)),
% 0.42/0.60 inference(monotonicity,[status(thm)],[594])).
% 0.42/0.60 tff(596,plain,
% 0.42/0.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c9, sk_c9), multiply(sk_c8, multiply(sk_c8, sk_c9))) = multiply(sk_c9, multiply(sk_c9, multiply(sk_c8, multiply(sk_c8, sk_c9)))))),
% 0.42/0.60 inference(quant_inst,[status(thm)],[])).
% 0.42/0.60 tff(597,plain,
% 0.42/0.60 (multiply(multiply(sk_c9, sk_c9), multiply(sk_c8, multiply(sk_c8, sk_c9))) = multiply(sk_c9, multiply(sk_c9, multiply(sk_c8, multiply(sk_c8, sk_c9))))),
% 0.42/0.60 inference(unit_resolution,[status(thm)],[596, 50])).
% 0.42/0.60 tff(598,plain,
% 0.42/0.60 (multiply(multiply(inverse(sk_c10), sk_c9), multiply(sk_c8, multiply(sk_c8, sk_c9))) = multiply(multiply(sk_c9, sk_c9), multiply(sk_c8, multiply(sk_c8, sk_c9)))),
% 0.42/0.60 inference(monotonicity,[status(thm)],[121])).
% 0.42/0.60 tff(599,plain,
% 0.42/0.60 (multiply(multiply(inverse(sk_c10), sk_c9), multiply(sk_c8, multiply(sk_c8, sk_c9))) = sk_c10),
% 0.42/0.60 inference(transitivity,[status(thm)],[598, 597, 595, 119])).
% 0.42/0.60 tff(600,plain,
% 0.42/0.60 (multiply(sk_c10, multiply(multiply(inverse(sk_c10), sk_c9), multiply(sk_c8, multiply(sk_c8, sk_c9)))) = multiply(sk_c10, sk_c10)),
% 0.42/0.60 inference(monotonicity,[status(thm)],[599])).
% 0.42/0.60 tff(601,plain,
% 0.42/0.60 (multiply(sk_c10, sk_c10) = multiply(sk_c10, multiply(multiply(inverse(sk_c10), sk_c9), multiply(sk_c8, multiply(sk_c8, sk_c9))))),
% 0.42/0.60 inference(symmetry,[status(thm)],[600])).
% 0.42/0.60 tff(602,plain,
% 0.42/0.60 (multiply(sk_c10, sk_c10) = sk_c8),
% 0.42/0.60 inference(transitivity,[status(thm)],[601, 593, 590, 584, 581, 579, 576, 434, 379, 378, 113])).
% 0.42/0.60 tff(603,plain,
% 0.42/0.60 (multiply(sk_c10, multiply(sk_c10, sk_c10)) = multiply(multiply(sk_c8, sk_c9), sk_c8)),
% 0.42/0.60 inference(monotonicity,[status(thm)],[554, 602])).
% 0.42/0.60 tff(604,plain,
% 0.42/0.60 (multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9),
% 0.42/0.60 inference(transitivity,[status(thm)],[603, 573, 571, 570, 569, 567, 466, 521, 427])).
% 0.42/0.60 tff(605,plain,
% 0.42/0.60 ((~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, inverse(sk_c10)) = sk_c8))),
% 0.42/0.60 inference(unit_resolution,[status(thm)],[396, 427, 585, 604, 565])).
% 0.42/0.60 tff(606,plain,
% 0.42/0.60 (~(multiply(sk_c10, inverse(sk_c10)) = sk_c8)),
% 0.42/0.60 inference(unit_resolution,[status(thm)],[605, 561])).
% 0.42/0.60 tff(607,plain,
% 0.42/0.60 (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)),
% 0.42/0.60 inference(modus_ponens,[status(thm)],[606, 542])).
% 0.42/0.60 tff(608,plain,
% 0.42/0.60 (sk_c10 = multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8)))),
% 0.42/0.61 inference(transitivity,[status(thm)],[440, 430, 553, 436, 544])).
% 0.42/0.61 tff(609,plain,
% 0.42/0.61 (multiply(sk_c10, sk_c10) = multiply(multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8))), multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8))))),
% 0.42/0.61 inference(monotonicity,[status(thm)],[608, 608])).
% 0.42/0.61 tff(610,plain,
% 0.42/0.61 (multiply(multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8))), multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8)))) = multiply(sk_c10, sk_c10)),
% 0.42/0.61 inference(symmetry,[status(thm)],[609])).
% 0.42/0.61 tff(611,plain,
% 0.42/0.61 (multiply(multiply(sk_c8, sk_c9), multiply(sk_c8, sk_c8)) = multiply(sk_c10, sk_c2)),
% 0.42/0.61 inference(symmetry,[status(thm)],[555])).
% 0.42/0.61 tff(612,plain,
% 0.42/0.61 (multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c8, sk_c9), multiply(sk_c8, sk_c8))),
% 0.42/0.61 inference(symmetry,[status(thm)],[447])).
% 0.42/0.61 tff(613,plain,
% 0.42/0.61 (multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8))) = multiply(sk_c8, multiply(sk_c8, sk_c1))),
% 0.42/0.61 inference(transitivity,[status(thm)],[612, 611, 559, 442, 522, 439, 492, 491, 490, 489, 485])).
% 0.42/0.61 tff(614,plain,
% 0.42/0.61 (multiply(multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8))), multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8)))) = multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8))))),
% 0.42/0.61 inference(monotonicity,[status(thm)],[613])).
% 0.42/0.61 tff(615,plain,
% 0.42/0.61 (multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8)))) = multiply(multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8))), multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8))))),
% 0.42/0.61 inference(symmetry,[status(thm)],[614])).
% 0.42/0.61 tff(616,plain,
% 0.42/0.61 (multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8))) = sk_c10),
% 0.42/0.61 inference(transitivity,[status(thm)],[545, 437, 433, 431, 119])).
% 0.42/0.61 tff(617,plain,
% 0.42/0.61 (multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8)))) = multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), sk_c10)),
% 0.42/0.61 inference(monotonicity,[status(thm)],[616])).
% 0.42/0.61 tff(618,plain,
% 0.42/0.61 (multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), sk_c10) = multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8))))),
% 0.42/0.61 inference(symmetry,[status(thm)],[617])).
% 0.42/0.61 tff(619,plain,
% 0.42/0.61 (multiply(sk_c1, inverse(sk_c1)) = sk_c8),
% 0.42/0.61 inference(transitivity,[status(thm)],[538, 537, 618, 615, 610, 601, 593, 590, 584, 581, 579, 576, 434, 379, 378, 113])).
% 0.42/0.61 tff(620,plain,
% 0.42/0.61 ($false),
% 0.42/0.61 inference(unit_resolution,[status(thm)],[619, 607])).
% 0.42/0.61 tff(621,plain,(multiply(sk_c3, sk_c10) = sk_c4), inference(lemma,lemma(discharge,[]))).
% 0.42/0.61 tff(622,plain,
% 0.42/0.61 (sk_c4 = multiply(sk_c3, sk_c10)),
% 0.42/0.61 inference(symmetry,[status(thm)],[621])).
% 0.42/0.61 tff(623,plain,
% 0.42/0.61 (multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8))) = sk_c10),
% 0.42/0.61 inference(transitivity,[status(thm)],[445, 437, 433, 431, 119])).
% 0.42/0.61 tff(624,plain,
% 0.42/0.61 (multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8)))) = multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), sk_c10)),
% 0.42/0.61 inference(monotonicity,[status(thm)],[623])).
% 0.42/0.61 tff(625,plain,
% 0.42/0.61 (multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8)))) = identity),
% 0.42/0.61 inference(transitivity,[status(thm)],[624, 488, 36])).
% 0.42/0.61 tff(626,plain,
% 0.42/0.61 (multiply(multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8)))), sk_c4) = multiply(identity, sk_c4)),
% 0.42/0.61 inference(monotonicity,[status(thm)],[625])).
% 0.42/0.61 tff(627,plain,
% 0.42/0.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8)))), sk_c4) = multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8))), sk_c4)))),
% 0.42/0.61 inference(quant_inst,[status(thm)],[])).
% 0.42/0.61 tff(628,plain,
% 0.42/0.61 (multiply(multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8)))), sk_c4) = multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8))), sk_c4))),
% 0.42/0.61 inference(unit_resolution,[status(thm)],[627, 50])).
% 0.42/0.61 tff(629,plain,
% 0.42/0.61 (multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8))), sk_c4)) = multiply(multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8)))), sk_c4)),
% 0.42/0.61 inference(symmetry,[status(thm)],[628])).
% 0.42/0.61 tff(630,plain,
% 0.42/0.61 (multiply(multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8))), sk_c4) = multiply(sk_c10, sk_c4)),
% 0.42/0.61 inference(monotonicity,[status(thm)],[623])).
% 0.42/0.61 tff(631,plain,
% 0.42/0.61 (multiply(sk_c10, sk_c4) = multiply(multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8))), sk_c4)),
% 0.42/0.61 inference(symmetry,[status(thm)],[630])).
% 0.42/0.61 tff(632,assumption,(~(multiply(sk_c10, sk_c4) = sk_c9)), introduced(assumption)).
% 0.42/0.61 tff(633,plain,
% 0.42/0.61 (((multiply(sk_c1, sk_c10) = sk_c2) | (multiply(sk_c10, sk_c4) = sk_c9)) <=> ((multiply(sk_c1, sk_c10) = sk_c2) | (multiply(sk_c10, sk_c4) = sk_c9))),
% 0.42/0.61 inference(rewrite,[status(thm)],[])).
% 0.42/0.61 tff(634,axiom,((multiply(sk_c1, sk_c10) = sk_c2) | (multiply(sk_c10, sk_c4) = sk_c9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_26')).
% 0.42/0.61 tff(635,plain,
% 0.42/0.61 ((multiply(sk_c1, sk_c10) = sk_c2) | (multiply(sk_c10, sk_c4) = sk_c9)),
% 0.42/0.61 inference(modus_ponens,[status(thm)],[634, 633])).
% 0.42/0.61 tff(636,plain,
% 0.42/0.61 (multiply(sk_c1, sk_c10) = sk_c2),
% 0.42/0.61 inference(unit_resolution,[status(thm)],[635, 632])).
% 0.42/0.61 tff(637,plain,
% 0.42/0.61 (sk_c2 = multiply(sk_c1, sk_c10)),
% 0.42/0.61 inference(symmetry,[status(thm)],[636])).
% 0.42/0.61 tff(638,plain,
% 0.42/0.61 (sk_c2 = multiply(sk_c8, sk_c8)),
% 0.42/0.61 inference(transitivity,[status(thm)],[637, 537, 529, 464, 457, 454, 452, 449])).
% 0.42/0.61 tff(639,plain,
% 0.42/0.61 (multiply(sk_c10, sk_c2) = multiply(multiply(sk_c8, sk_c9), multiply(sk_c8, sk_c8))),
% 0.42/0.61 inference(monotonicity,[status(thm)],[554, 638])).
% 0.42/0.61 tff(640,plain,
% 0.42/0.61 (((multiply(sk_c10, sk_c2) = sk_c9) | (multiply(sk_c10, sk_c4) = sk_c9)) <=> ((multiply(sk_c10, sk_c2) = sk_c9) | (multiply(sk_c10, sk_c4) = sk_c9))),
% 0.42/0.61 inference(rewrite,[status(thm)],[])).
% 0.42/0.61 tff(641,axiom,((multiply(sk_c10, sk_c2) = sk_c9) | (multiply(sk_c10, sk_c4) = sk_c9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_18')).
% 0.42/0.61 tff(642,plain,
% 0.42/0.61 ((multiply(sk_c10, sk_c2) = sk_c9) | (multiply(sk_c10, sk_c4) = sk_c9)),
% 0.42/0.61 inference(modus_ponens,[status(thm)],[641, 640])).
% 0.42/0.61 tff(643,plain,
% 0.42/0.61 (multiply(sk_c10, sk_c2) = sk_c9),
% 0.42/0.61 inference(unit_resolution,[status(thm)],[642, 632])).
% 0.42/0.61 tff(644,plain,
% 0.42/0.61 (sk_c9 = multiply(sk_c10, sk_c2)),
% 0.42/0.61 inference(symmetry,[status(thm)],[643])).
% 0.42/0.61 tff(645,plain,
% 0.42/0.61 (inverse(sk_c10) = sk_c10),
% 0.42/0.61 inference(transitivity,[status(thm)],[39, 644, 639, 447, 545, 437, 433, 431, 119])).
% 0.42/0.61 tff(646,plain,
% 0.42/0.61 (~(multiply(sk_c10, inverse(sk_c10)) = sk_c8)),
% 0.42/0.61 inference(unit_resolution,[status(thm)],[605, 645])).
% 0.42/0.61 tff(647,plain,
% 0.42/0.61 (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)),
% 0.42/0.61 inference(modus_ponens,[status(thm)],[646, 542])).
% 0.42/0.61 tff(648,plain,
% 0.42/0.61 (multiply(multiply(sk_c8, sk_c9), multiply(sk_c8, sk_c8)) = multiply(sk_c10, sk_c2)),
% 0.42/0.61 inference(symmetry,[status(thm)],[639])).
% 0.42/0.61 tff(649,plain,
% 0.42/0.61 (multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8))) = multiply(sk_c8, multiply(sk_c8, sk_c1))),
% 0.42/0.61 inference(transitivity,[status(thm)],[612, 648, 643, 442, 522, 439, 492, 491, 490, 489, 485])).
% 0.42/0.61 tff(650,plain,
% 0.42/0.61 (multiply(multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8))), multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8)))) = multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8))))),
% 0.42/0.61 inference(monotonicity,[status(thm)],[649])).
% 0.42/0.61 tff(651,plain,
% 0.42/0.61 (multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8)))) = multiply(multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8))), multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8))))),
% 0.42/0.61 inference(symmetry,[status(thm)],[650])).
% 0.42/0.61 tff(652,plain,
% 0.42/0.61 (multiply(sk_c1, inverse(sk_c1)) = sk_c8),
% 0.42/0.61 inference(transitivity,[status(thm)],[538, 537, 618, 651, 610, 601, 593, 590, 584, 581, 579, 576, 434, 379, 378, 113])).
% 0.42/0.61 tff(653,plain,
% 0.42/0.61 ($false),
% 0.42/0.61 inference(unit_resolution,[status(thm)],[652, 647])).
% 0.42/0.61 tff(654,plain,(multiply(sk_c10, sk_c4) = sk_c9), inference(lemma,lemma(discharge,[]))).
% 0.42/0.61 tff(655,plain,
% 0.42/0.61 (sk_c9 = multiply(sk_c10, sk_c4)),
% 0.42/0.61 inference(symmetry,[status(thm)],[654])).
% 0.42/0.61 tff(656,plain,
% 0.42/0.61 (multiply(sk_c8, multiply(sk_c8, sk_c1)) = multiply(multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8))), sk_c4)),
% 0.42/0.61 inference(transitivity,[status(thm)],[486, 483, 481, 479, 477, 466, 465, 427, 655, 631])).
% 0.42/0.61 tff(657,plain,
% 0.42/0.61 (multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(sk_c8, sk_c1))) = multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8))), sk_c4))),
% 0.42/0.61 inference(monotonicity,[status(thm)],[656])).
% 0.42/0.61 tff(658,plain,
% 0.42/0.61 (sk_c9 = multiply(sk_c8, multiply(sk_c8, sk_c1))),
% 0.42/0.61 inference(transitivity,[status(thm)],[442, 441, 439, 492, 491, 490, 489, 485])).
% 0.42/0.61 tff(659,plain,
% 0.42/0.61 (inverse(sk_c10) = multiply(sk_c8, multiply(sk_c8, sk_c1))),
% 0.42/0.61 inference(transitivity,[status(thm)],[39, 442, 441, 439, 492, 491, 490, 489, 485])).
% 0.42/0.61 tff(660,plain,
% 0.42/0.61 (multiply(inverse(sk_c10), sk_c9) = multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(sk_c8, sk_c1)))),
% 0.42/0.61 inference(monotonicity,[status(thm)],[659, 658])).
% 0.42/0.61 tff(661,plain,
% 0.42/0.61 (sk_c8 = multiply(sk_c8, sk_c8)),
% 0.42/0.61 inference(transitivity,[status(thm)],[114, 374, 373, 428, 660, 657, 629, 626, 196, 622, 520, 512, 488, 464, 457, 454, 452, 449])).
% 0.42/0.61 tff(662,plain,
% 0.42/0.61 (multiply(multiply(sk_c8, sk_c9), sk_c8) = multiply(multiply(sk_c8, sk_c9), multiply(sk_c8, sk_c8))),
% 0.42/0.61 inference(monotonicity,[status(thm)],[661])).
% 0.42/0.61 tff(663,plain,
% 0.42/0.61 (multiply(sk_c8, multiply(sk_c9, sk_c8)) = multiply(multiply(sk_c8, sk_c9), sk_c8)),
% 0.42/0.61 inference(symmetry,[status(thm)],[573])).
% 0.42/0.61 tff(664,plain,
% 0.42/0.61 (multiply(sk_c8, sk_c10) = multiply(sk_c8, multiply(sk_c9, sk_c8))),
% 0.42/0.61 inference(monotonicity,[status(thm)],[440])).
% 0.42/0.61 tff(665,plain,
% 0.42/0.61 (multiply(multiply(sk_c9, sk_c9), sk_c10) = multiply(sk_c8, sk_c10)),
% 0.42/0.61 inference(monotonicity,[status(thm)],[435])).
% 0.42/0.61 tff(666,plain,
% 0.42/0.61 (multiply(sk_c9, multiply(sk_c9, sk_c10)) = multiply(multiply(sk_c9, sk_c9), sk_c10)),
% 0.42/0.61 inference(symmetry,[status(thm)],[569])).
% 0.42/0.61 tff(667,plain,
% 0.42/0.61 (multiply(sk_c9, multiply(sk_c8, sk_c8)) = multiply(sk_c9, multiply(sk_c9, sk_c10))),
% 0.42/0.61 inference(monotonicity,[status(thm)],[480])).
% 0.42/0.61 tff(668,plain,
% 0.42/0.61 (inverse(sk_c10) = sk_c10),
% 0.42/0.61 inference(transitivity,[status(thm)],[39, 442, 441, 439, 667, 666, 665, 664, 663, 662, 447, 445, 437, 433, 431, 119])).
% 0.42/0.61 tff(669,plain,
% 0.42/0.61 (multiply(sk_c1, sk_c10) = multiply(sk_c1, inverse(sk_c1))),
% 0.42/0.61 inference(symmetry,[status(thm)],[538])).
% 0.42/0.61 tff(670,plain,
% 0.42/0.61 (multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), sk_c10) = multiply(sk_c1, sk_c10)),
% 0.42/0.61 inference(symmetry,[status(thm)],[537])).
% 0.42/0.61 tff(671,plain,
% 0.42/0.61 (multiply(sk_c3, inverse(sk_c3)) = multiply(sk_c3, sk_c10)),
% 0.42/0.61 inference(monotonicity,[status(thm)],[398])).
% 0.42/0.61 tff(672,plain,
% 0.42/0.61 (multiply(sk_c3, inverse(sk_c3)) = multiply(sk_c1, inverse(sk_c1))),
% 0.42/0.61 inference(transitivity,[status(thm)],[671, 520, 512, 670, 669])).
% 0.42/0.61 tff(673,plain,
% 0.42/0.61 ((multiply(sk_c3, inverse(sk_c3)) = sk_c8) <=> (multiply(sk_c1, inverse(sk_c1)) = sk_c8)),
% 0.42/0.61 inference(monotonicity,[status(thm)],[672])).
% 0.42/0.61 tff(674,plain,
% 0.42/0.61 ((multiply(sk_c1, inverse(sk_c1)) = sk_c8) <=> (multiply(sk_c3, inverse(sk_c3)) = sk_c8)),
% 0.42/0.61 inference(symmetry,[status(thm)],[673])).
% 0.42/0.61 tff(675,plain,
% 0.42/0.61 (multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(sk_c8, sk_c1))) = multiply(inverse(sk_c10), sk_c9)),
% 0.42/0.61 inference(symmetry,[status(thm)],[660])).
% 0.42/0.61 tff(676,plain,
% 0.42/0.61 (multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8))), sk_c4)) = multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(sk_c8, sk_c1)))),
% 0.42/0.61 inference(symmetry,[status(thm)],[657])).
% 0.42/0.61 tff(677,plain,
% 0.42/0.61 (multiply(identity, sk_c4) = multiply(multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(sk_c9, multiply(sk_c8, sk_c8)))), sk_c4)),
% 0.42/0.61 inference(symmetry,[status(thm)],[626])).
% 0.42/0.61 tff(678,plain,
% 0.42/0.61 (sk_c4 = sk_c8),
% 0.42/0.61 inference(transitivity,[status(thm)],[197, 677, 628, 676, 675, 434, 379, 378, 113])).
% 0.42/0.61 tff(679,plain,
% 0.42/0.61 (multiply(sk_c3, sk_c10) = multiply(sk_c1, inverse(sk_c1))),
% 0.42/0.61 inference(transitivity,[status(thm)],[520, 512, 670, 669])).
% 0.42/0.61 tff(680,plain,
% 0.42/0.61 ((multiply(sk_c3, sk_c10) = sk_c4) <=> (multiply(sk_c1, inverse(sk_c1)) = sk_c8)),
% 0.42/0.61 inference(monotonicity,[status(thm)],[679, 678])).
% 0.42/0.61 tff(681,plain,
% 0.42/0.61 ((multiply(sk_c3, sk_c10) = sk_c4) <=> (multiply(sk_c3, inverse(sk_c3)) = sk_c8)),
% 0.42/0.61 inference(transitivity,[status(thm)],[680, 674])).
% 0.42/0.61 tff(682,plain,
% 0.42/0.61 (multiply(sk_c3, inverse(sk_c3)) = sk_c8),
% 0.42/0.61 inference(modus_ponens,[status(thm)],[621, 681])).
% 0.42/0.61 tff(683,plain,
% 0.42/0.61 (multiply(inverse(sk_c3), sk_c9) = multiply(sk_c10, inverse(sk_c10))),
% 0.42/0.61 inference(monotonicity,[status(thm)],[398, 40])).
% 0.42/0.61 tff(684,plain,
% 0.42/0.61 ((multiply(inverse(sk_c3), sk_c9) = sk_c8) <=> (multiply(sk_c10, inverse(sk_c10)) = sk_c8)),
% 0.42/0.61 inference(monotonicity,[status(thm)],[683])).
% 0.42/0.61 tff(685,plain,
% 0.42/0.61 ((multiply(sk_c10, inverse(sk_c10)) = sk_c8) <=> (multiply(inverse(sk_c3), sk_c9) = sk_c8)),
% 0.42/0.61 inference(symmetry,[status(thm)],[684])).
% 0.42/0.61 tff(686,plain,
% 0.42/0.61 (multiply(sk_c10, inverse(sk_c10)) = multiply(sk_c10, multiply(sk_c8, multiply(sk_c8, sk_c1)))),
% 0.42/0.61 inference(monotonicity,[status(thm)],[659])).
% 0.42/0.61 tff(687,plain,
% 0.42/0.61 (multiply(sk_c10, multiply(sk_c8, multiply(sk_c8, sk_c1))) = multiply(sk_c10, inverse(sk_c10))),
% 0.42/0.61 inference(symmetry,[status(thm)],[686])).
% 0.42/0.61 tff(688,plain,
% 0.42/0.61 (multiply(sk_c1, inverse(sk_c1)) = multiply(sk_c10, inverse(sk_c10))),
% 0.42/0.61 inference(transitivity,[status(thm)],[538, 537, 488, 36, 266, 527, 470, 526, 474, 687])).
% 0.42/0.61 tff(689,plain,
% 0.42/0.61 ((multiply(sk_c1, inverse(sk_c1)) = sk_c8) <=> (multiply(sk_c10, inverse(sk_c10)) = sk_c8)),
% 0.42/0.61 inference(monotonicity,[status(thm)],[688])).
% 0.42/0.61 tff(690,plain,
% 0.42/0.61 ((multiply(sk_c3, sk_c10) = sk_c4) <=> (multiply(inverse(sk_c3), sk_c9) = sk_c8)),
% 0.42/0.61 inference(transitivity,[status(thm)],[680, 689, 685])).
% 0.42/0.61 tff(691,plain,
% 0.42/0.61 (multiply(inverse(sk_c3), sk_c9) = sk_c8),
% 0.42/0.61 inference(modus_ponens,[status(thm)],[621, 690])).
% 0.42/0.61 tff(692,plain,
% 0.42/0.61 (multiply(sk_c8, multiply(sk_c8, sk_c1)) = sk_c9),
% 0.42/0.61 inference(transitivity,[status(thm)],[486, 483, 481, 479, 477, 466, 465, 427])).
% 0.42/0.61 tff(693,plain,
% 0.42/0.61 (multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), sk_c8) = multiply(sk_c9, sk_c8)),
% 0.42/0.61 inference(monotonicity,[status(thm)],[692])).
% 0.42/0.61 tff(694,plain,
% 0.42/0.61 (multiply(multiply(sk_c8, multiply(sk_c8, sk_c3)), sk_c8) = multiply(multiply(sk_c8, multiply(sk_c8, sk_c1)), sk_c8)),
% 0.42/0.61 inference(monotonicity,[status(thm)],[511])).
% 0.42/0.61 tff(695,plain,
% 0.42/0.61 (multiply(sk_c3, sk_c8) = multiply(multiply(sk_c8, multiply(sk_c8, sk_c3)), sk_c8)),
% 0.42/0.61 inference(monotonicity,[status(thm)],[519])).
% 0.42/0.61 tff(696,plain,
% 0.42/0.61 (multiply(sk_c3, sk_c8) = sk_c10),
% 0.42/0.61 inference(transitivity,[status(thm)],[695, 694, 693, 119])).
% 0.42/0.61 tff(697,plain,
% 0.42/0.61 (multiply(sk_c9, multiply(sk_c9, sk_c10)) = multiply(sk_c9, multiply(sk_c8, sk_c8))),
% 0.42/0.61 inference(symmetry,[status(thm)],[667])).
% 0.42/0.61 tff(698,plain,
% 0.42/0.61 (multiply(sk_c8, sk_c10) = multiply(multiply(sk_c9, sk_c9), sk_c10)),
% 0.42/0.61 inference(symmetry,[status(thm)],[665])).
% 0.42/0.61 tff(699,plain,
% 0.42/0.61 (multiply(sk_c8, multiply(sk_c9, sk_c8)) = multiply(sk_c8, sk_c10)),
% 0.42/0.61 inference(symmetry,[status(thm)],[664])).
% 0.42/0.61 tff(700,plain,
% 0.42/0.61 (multiply(sk_c10, sk_c8) = inverse(sk_c10)),
% 0.42/0.61 inference(transitivity,[status(thm)],[427, 40])).
% 0.42/0.61 tff(701,plain,
% 0.42/0.61 (multiply(multiply(sk_c10, sk_c8), sk_c9) = multiply(inverse(sk_c10), sk_c9)),
% 0.42/0.61 inference(monotonicity,[status(thm)],[700])).
% 0.42/0.61 tff(702,plain,
% 0.42/0.61 (multiply(multiply(sk_c9, sk_c8), multiply(sk_c8, sk_c9)) = multiply(sk_c10, multiply(sk_c8, sk_c9))),
% 0.42/0.61 inference(monotonicity,[status(thm)],[119])).
% 0.42/0.61 tff(703,plain,
% 0.42/0.61 (multiply(sk_c10, multiply(inverse(sk_c10), sk_c9)) = sk_c9),
% 0.42/0.61 inference(transitivity,[status(thm)],[586, 427])).
% 0.42/0.61 tff(704,plain,
% 0.42/0.61 (multiply(multiply(sk_c10, multiply(inverse(sk_c10), sk_c9)), multiply(sk_c8, multiply(sk_c8, sk_c9))) = multiply(sk_c9, multiply(sk_c8, multiply(sk_c8, sk_c9)))),
% 0.42/0.61 inference(monotonicity,[status(thm)],[703])).
% 0.42/0.61 tff(705,plain,
% 0.42/0.61 (multiply(multiply(sk_c9, sk_c9), multiply(sk_c8, multiply(sk_c8, sk_c9))) = multiply(multiply(inverse(sk_c10), sk_c9), multiply(sk_c8, multiply(sk_c8, sk_c9)))),
% 0.42/0.61 inference(symmetry,[status(thm)],[598])).
% 0.42/0.61 tff(706,plain,
% 0.42/0.61 (multiply(sk_c9, multiply(sk_c9, multiply(sk_c8, multiply(sk_c8, sk_c9)))) = multiply(multiply(sk_c9, sk_c9), multiply(sk_c8, multiply(sk_c8, sk_c9)))),
% 0.42/0.61 inference(symmetry,[status(thm)],[597])).
% 0.42/0.61 tff(707,plain,
% 0.42/0.61 (multiply(sk_c9, multiply(sk_c8, multiply(sk_c8, sk_c9))) = sk_c8),
% 0.42/0.61 inference(transitivity,[status(thm)],[584, 702, 579, 701, 434, 379, 378, 113])).
% 0.42/0.61 tff(708,plain,
% 0.42/0.61 (multiply(sk_c9, multiply(sk_c9, multiply(sk_c8, multiply(sk_c8, sk_c9)))) = multiply(sk_c9, sk_c8)),
% 0.42/0.61 inference(monotonicity,[status(thm)],[707])).
% 0.42/0.61 tff(709,plain,
% 0.42/0.61 (multiply(sk_c9, sk_c8) = multiply(sk_c9, multiply(sk_c9, multiply(sk_c8, multiply(sk_c8, sk_c9))))),
% 0.42/0.61 inference(symmetry,[status(thm)],[708])).
% 0.42/0.61 tff(710,plain,
% 0.42/0.61 (sk_c10 = multiply(multiply(inverse(sk_c10), sk_c9), multiply(sk_c8, multiply(sk_c8, sk_c9)))),
% 0.42/0.61 inference(transitivity,[status(thm)],[440, 709, 706, 705])).
% 0.42/0.61 tff(711,plain,
% 0.42/0.61 (multiply(sk_c10, sk_c10) = multiply(sk_c10, multiply(multiply(inverse(sk_c10), sk_c9), multiply(sk_c8, multiply(sk_c8, sk_c9))))),
% 0.42/0.61 inference(monotonicity,[status(thm)],[710])).
% 0.42/0.61 tff(712,plain,
% 0.42/0.61 (multiply(sk_c10, sk_c10) = sk_c8),
% 0.42/0.61 inference(transitivity,[status(thm)],[711, 593, 704, 584, 702, 579, 701, 434, 379, 378, 113])).
% 0.42/0.61 tff(713,plain,
% 0.42/0.61 (multiply(sk_c10, multiply(sk_c10, sk_c10)) = multiply(multiply(sk_c8, sk_c9), sk_c8)),
% 0.42/0.61 inference(monotonicity,[status(thm)],[554, 712])).
% 0.42/0.61 tff(714,plain,
% 0.42/0.61 (multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9),
% 0.42/0.61 inference(transitivity,[status(thm)],[713, 573, 699, 698, 569, 697, 466, 465, 427])).
% 0.42/0.61 tff(715,plain,
% 0.42/0.61 (((~![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))) | ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(inverse(sk_c3), sk_c9) = sk_c8)) | (~(multiply(sk_c3, inverse(sk_c3)) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c10)) | (~(inverse(sk_c3) = sk_c10)))) <=> ((~![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))) | (~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(inverse(sk_c3), sk_c9) = sk_c8)) | (~(multiply(sk_c3, inverse(sk_c3)) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c10)) | (~(inverse(sk_c3) = sk_c10)))),
% 0.42/0.61 inference(rewrite,[status(thm)],[])).
% 0.42/0.61 tff(716,plain,
% 0.42/0.61 (((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(sk_c3, sk_c8) = sk_c10)) | (~(inverse(sk_c3) = sk_c10)) | (~(multiply(inverse(sk_c3), sk_c9) = sk_c8)) | (~(multiply(sk_c3, inverse(sk_c3)) = sk_c8)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9))) <=> ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(inverse(sk_c3), sk_c9) = sk_c8)) | (~(multiply(sk_c3, inverse(sk_c3)) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c10)) | (~(inverse(sk_c3) = sk_c10)))),
% 0.42/0.61 inference(rewrite,[status(thm)],[])).
% 0.42/0.61 tff(717,plain,
% 0.42/0.61 (((~![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))) | ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(sk_c3, sk_c8) = sk_c10)) | (~(inverse(sk_c3) = sk_c10)) | (~(multiply(inverse(sk_c3), sk_c9) = sk_c8)) | (~(multiply(sk_c3, inverse(sk_c3)) = sk_c8)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)))) <=> ((~![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))) | ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(inverse(sk_c3), sk_c9) = sk_c8)) | (~(multiply(sk_c3, inverse(sk_c3)) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c10)) | (~(inverse(sk_c3) = sk_c10))))),
% 0.42/0.61 inference(monotonicity,[status(thm)],[716])).
% 0.42/0.61 tff(718,plain,
% 0.42/0.61 (((~![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))) | ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(sk_c3, sk_c8) = sk_c10)) | (~(inverse(sk_c3) = sk_c10)) | (~(multiply(inverse(sk_c3), sk_c9) = sk_c8)) | (~(multiply(sk_c3, inverse(sk_c3)) = sk_c8)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)))) <=> ((~![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))) | (~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(inverse(sk_c3), sk_c9) = sk_c8)) | (~(multiply(sk_c3, inverse(sk_c3)) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c10)) | (~(inverse(sk_c3) = sk_c10)))),
% 0.42/0.62 inference(transitivity,[status(thm)],[717, 715])).
% 0.42/0.62 tff(719,plain,
% 0.42/0.62 ((~![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))) | ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(sk_c3, sk_c8) = sk_c10)) | (~(inverse(sk_c3) = sk_c10)) | (~(multiply(inverse(sk_c3), sk_c9) = sk_c8)) | (~(multiply(sk_c3, inverse(sk_c3)) = sk_c8)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)))),
% 0.42/0.62 inference(quant_inst,[status(thm)],[])).
% 0.42/0.62 tff(720,plain,
% 0.42/0.62 ((~![X4: $i, X2: $i, X7: $i, X5: $i] : ((~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(X2) = sk_c10)) | (~(inverse(X4) = sk_c10)) | (~(multiply(sk_c10, multiply(X4, sk_c10)) = sk_c9)) | (~(multiply(X7, sk_c8) = sk_c10)) | (~(inverse(X7) = sk_c10)) | (~(multiply(inverse(X5), sk_c9) = sk_c8)) | (~(multiply(X5, inverse(X5)) = sk_c8)) | (~(multiply(sk_c10, multiply(X2, sk_c10)) = sk_c9)))) | (~(inverse(sk_c10) = sk_c9)) | (~(multiply(sk_c9, sk_c8) = sk_c10)) | (~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(inverse(sk_c3), sk_c9) = sk_c8)) | (~(multiply(sk_c3, inverse(sk_c3)) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c10)) | (~(inverse(sk_c3) = sk_c10))),
% 0.42/0.62 inference(modus_ponens,[status(thm)],[719, 718])).
% 0.42/0.62 tff(721,plain,
% 0.42/0.62 ((~(multiply(sk_c10, sk_c8) = sk_c9)) | (~(inverse(sk_c10) = sk_c10)) | (~(multiply(sk_c10, multiply(sk_c10, sk_c10)) = sk_c9)) | (~(multiply(inverse(sk_c3), sk_c9) = sk_c8)) | (~(multiply(sk_c3, inverse(sk_c3)) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c10))),
% 0.42/0.62 inference(unit_resolution,[status(thm)],[720, 39, 119, 398, 249])).
% 0.42/0.62 tff(722,plain,
% 0.42/0.62 ((~(inverse(sk_c10) = sk_c10)) | (~(multiply(inverse(sk_c3), sk_c9) = sk_c8)) | (~(multiply(sk_c3, inverse(sk_c3)) = sk_c8))),
% 0.42/0.62 inference(unit_resolution,[status(thm)],[721, 427, 714, 696])).
% 0.42/0.62 tff(723,plain,
% 0.42/0.62 ($false),
% 0.42/0.62 inference(unit_resolution,[status(thm)],[722, 691, 682, 668])).
% 0.42/0.62 % SZS output end Proof
% 0.42/0.62 % E exiting
%------------------------------------------------------------------------------