TSTP Solution File: GRP241-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : GRP241-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n023.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 : Fri Sep 16 22:26:53 EDT 2022
% Result : Unsatisfiable 2.55s 1.87s
% Output : Proof 2.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP241-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Aug 31 16:17:49 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 2.55/1.87 % SZS status Unsatisfiable
% 2.55/1.87 % SZS output start Proof
% 2.55/1.87 tff(sk_c8_type, type, (
% 2.55/1.87 sk_c8: $i)).
% 2.55/1.87 tff(inverse_type, type, (
% 2.55/1.87 inverse: $i > $i)).
% 2.55/1.87 tff(sk_c1_type, type, (
% 2.55/1.87 sk_c1: $i)).
% 2.55/1.87 tff(multiply_type, type, (
% 2.55/1.87 multiply: ( $i * $i ) > $i)).
% 2.55/1.87 tff(identity_type, type, (
% 2.55/1.87 identity: $i)).
% 2.55/1.87 tff(sk_c5_type, type, (
% 2.55/1.87 sk_c5: $i)).
% 2.55/1.87 tff(sk_c7_type, type, (
% 2.55/1.87 sk_c7: $i)).
% 2.55/1.87 tff(sk_c2_type, type, (
% 2.55/1.87 sk_c2: $i)).
% 2.55/1.87 tff(sk_c3_type, type, (
% 2.55/1.87 sk_c3: $i)).
% 2.55/1.87 tff(sk_c6_type, type, (
% 2.55/1.87 sk_c6: $i)).
% 2.55/1.87 tff(sk_c4_type, type, (
% 2.55/1.87 sk_c4: $i)).
% 2.55/1.87 tff(1,plain,
% 2.55/1.87 (^[X: $i] : refl((multiply(identity, X) = X) <=> (multiply(identity, X) = X))),
% 2.55/1.87 inference(bind,[status(th)],[])).
% 2.55/1.87 tff(2,plain,
% 2.55/1.87 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 2.55/1.87 inference(quant_intro,[status(thm)],[1])).
% 2.55/1.87 tff(3,plain,
% 2.55/1.87 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 2.55/1.87 inference(rewrite,[status(thm)],[])).
% 2.55/1.87 tff(4,axiom,(![X: $i] : (multiply(identity, X) = X)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','left_identity')).
% 2.55/1.87 tff(5,plain,
% 2.55/1.87 (![X: $i] : (multiply(identity, X) = X)),
% 2.55/1.87 inference(modus_ponens,[status(thm)],[4, 3])).
% 2.55/1.87 tff(6,plain,(
% 2.55/1.87 ![X: $i] : (multiply(identity, X) = X)),
% 2.55/1.87 inference(skolemize,[status(sab)],[5])).
% 2.55/1.87 tff(7,plain,
% 2.55/1.87 (![X: $i] : (multiply(identity, X) = X)),
% 2.55/1.87 inference(modus_ponens,[status(thm)],[6, 2])).
% 2.55/1.87 tff(8,plain,
% 2.55/1.87 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c8) = sk_c8)),
% 2.55/1.87 inference(quant_inst,[status(thm)],[])).
% 2.55/1.87 tff(9,plain,
% 2.55/1.87 (multiply(identity, sk_c8) = sk_c8),
% 2.55/1.87 inference(unit_resolution,[status(thm)],[8, 7])).
% 2.55/1.87 tff(10,assumption,(~(inverse(sk_c5) = sk_c8)), introduced(assumption)).
% 2.55/1.87 tff(11,plain,
% 2.55/1.87 (((inverse(sk_c5) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 2.55/1.87 inference(rewrite,[status(thm)],[])).
% 2.55/1.87 tff(12,plain,
% 2.55/1.87 (((multiply(sk_c8, sk_c3) = sk_c7) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 2.55/1.87 inference(rewrite,[status(thm)],[])).
% 2.55/1.87 tff(13,axiom,((multiply(sk_c8, sk_c3) = sk_c7) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_25')).
% 2.55/1.87 tff(14,plain,
% 2.55/1.87 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 2.55/1.87 inference(modus_ponens,[status(thm)],[13, 12])).
% 2.55/1.87 tff(15,plain,
% 2.55/1.87 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 2.55/1.87 inference(modus_ponens,[status(thm)],[14, 11])).
% 2.55/1.87 tff(16,plain,
% 2.55/1.87 (multiply(sk_c8, sk_c3) = sk_c7),
% 2.55/1.87 inference(unit_resolution,[status(thm)],[15, 10])).
% 2.55/1.87 tff(17,plain,
% 2.55/1.87 (((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c8) = sk_c3)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c8) = sk_c3))),
% 2.55/1.87 inference(rewrite,[status(thm)],[])).
% 2.55/1.87 tff(18,plain,
% 2.55/1.87 (((multiply(sk_c2, sk_c8) = sk_c3) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c8) = sk_c3))),
% 2.55/1.87 inference(rewrite,[status(thm)],[])).
% 2.55/1.87 tff(19,axiom,((multiply(sk_c2, sk_c8) = sk_c3) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_30')).
% 2.55/1.87 tff(20,plain,
% 2.55/1.87 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c8) = sk_c3)),
% 2.55/1.87 inference(modus_ponens,[status(thm)],[19, 18])).
% 2.55/1.87 tff(21,plain,
% 2.55/1.87 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c8) = sk_c3)),
% 2.55/1.87 inference(modus_ponens,[status(thm)],[20, 17])).
% 2.55/1.87 tff(22,plain,
% 2.55/1.87 (multiply(sk_c2, sk_c8) = sk_c3),
% 2.55/1.87 inference(unit_resolution,[status(thm)],[21, 10])).
% 2.55/1.87 tff(23,plain,
% 2.55/1.87 (sk_c3 = multiply(sk_c2, sk_c8)),
% 2.55/1.87 inference(symmetry,[status(thm)],[22])).
% 2.55/1.87 tff(24,plain,
% 2.55/1.87 (multiply(sk_c8, sk_c3) = multiply(sk_c8, multiply(sk_c2, sk_c8))),
% 2.55/1.87 inference(monotonicity,[status(thm)],[23])).
% 2.55/1.87 tff(25,plain,
% 2.55/1.87 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = multiply(sk_c8, sk_c3)),
% 2.55/1.87 inference(symmetry,[status(thm)],[24])).
% 2.55/1.87 tff(26,plain,
% 2.55/1.87 (^[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))))),
% 2.55/1.87 inference(bind,[status(th)],[])).
% 2.55/1.87 tff(27,plain,
% 2.55/1.87 (![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)))),
% 2.55/1.87 inference(quant_intro,[status(thm)],[26])).
% 2.55/1.87 tff(28,plain,
% 2.55/1.87 (![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)))),
% 2.55/1.87 inference(rewrite,[status(thm)],[])).
% 2.55/1.87 tff(29,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')).
% 2.55/1.87 tff(30,plain,
% 2.55/1.87 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 2.55/1.87 inference(modus_ponens,[status(thm)],[29, 28])).
% 2.55/1.87 tff(31,plain,(
% 2.55/1.87 ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 2.55/1.87 inference(skolemize,[status(sab)],[30])).
% 2.55/1.87 tff(32,plain,
% 2.55/1.87 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 2.55/1.87 inference(modus_ponens,[status(thm)],[31, 27])).
% 2.55/1.87 tff(33,plain,
% 2.55/1.87 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(sk_c8, multiply(sk_c2, sk_c8)))),
% 2.55/1.87 inference(quant_inst,[status(thm)],[])).
% 2.55/1.87 tff(34,plain,
% 2.55/1.87 (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(sk_c8, multiply(sk_c2, sk_c8))),
% 2.55/1.87 inference(unit_resolution,[status(thm)],[33, 32])).
% 2.55/1.87 tff(35,plain,
% 2.55/1.87 (^[X: $i] : refl((multiply(inverse(X), X) = identity) <=> (multiply(inverse(X), X) = identity))),
% 2.55/1.87 inference(bind,[status(th)],[])).
% 2.55/1.87 tff(36,plain,
% 2.55/1.87 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 2.55/1.87 inference(quant_intro,[status(thm)],[35])).
% 2.55/1.87 tff(37,plain,
% 2.55/1.87 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 2.55/1.87 inference(rewrite,[status(thm)],[])).
% 2.55/1.87 tff(38,axiom,(![X: $i] : (multiply(inverse(X), X) = identity)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','left_inverse')).
% 2.55/1.87 tff(39,plain,
% 2.55/1.87 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 2.55/1.87 inference(modus_ponens,[status(thm)],[38, 37])).
% 2.55/1.87 tff(40,plain,(
% 2.55/1.87 ![X: $i] : (multiply(inverse(X), X) = identity)),
% 2.55/1.87 inference(skolemize,[status(sab)],[39])).
% 2.55/1.87 tff(41,plain,
% 2.55/1.87 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 2.55/1.87 inference(modus_ponens,[status(thm)],[40, 36])).
% 2.55/1.87 tff(42,plain,
% 2.55/1.87 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c2), sk_c2) = identity)),
% 2.55/1.87 inference(quant_inst,[status(thm)],[])).
% 2.55/1.87 tff(43,plain,
% 2.55/1.87 (multiply(inverse(sk_c2), sk_c2) = identity),
% 2.55/1.87 inference(unit_resolution,[status(thm)],[42, 41])).
% 2.55/1.87 tff(44,assumption,(~(inverse(sk_c2) = sk_c8)), introduced(assumption)).
% 2.55/1.87 tff(45,plain,
% 2.55/1.87 (((inverse(sk_c2) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)) <=> ((inverse(sk_c2) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7))),
% 2.55/1.87 inference(rewrite,[status(thm)],[])).
% 2.55/1.87 tff(46,axiom,((inverse(sk_c2) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_33')).
% 2.55/1.87 tff(47,plain,
% 2.55/1.87 ((inverse(sk_c2) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)),
% 2.55/1.87 inference(modus_ponens,[status(thm)],[46, 45])).
% 2.55/1.87 tff(48,plain,
% 2.55/1.87 (multiply(sk_c8, sk_c6) = sk_c7),
% 2.55/1.87 inference(unit_resolution,[status(thm)],[47, 44])).
% 2.55/1.87 tff(49,plain,
% 2.55/1.87 (((inverse(sk_c2) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((inverse(sk_c2) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 2.55/1.87 inference(rewrite,[status(thm)],[])).
% 2.55/1.87 tff(50,axiom,((inverse(sk_c2) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_34')).
% 2.55/1.87 tff(51,plain,
% 2.55/1.87 ((inverse(sk_c2) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 2.55/1.87 inference(modus_ponens,[status(thm)],[50, 49])).
% 2.55/1.87 tff(52,plain,
% 2.55/1.87 (multiply(sk_c5, sk_c8) = sk_c6),
% 2.55/1.87 inference(unit_resolution,[status(thm)],[51, 44])).
% 2.55/1.87 tff(53,plain,
% 2.55/1.87 (sk_c6 = multiply(sk_c5, sk_c8)),
% 2.55/1.87 inference(symmetry,[status(thm)],[52])).
% 2.55/1.87 tff(54,plain,
% 2.55/1.87 (multiply(sk_c8, sk_c6) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 2.55/1.87 inference(monotonicity,[status(thm)],[53])).
% 2.55/1.87 tff(55,plain,
% 2.55/1.87 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(sk_c8, sk_c6)),
% 2.55/1.87 inference(symmetry,[status(thm)],[54])).
% 2.55/1.87 tff(56,plain,
% 2.55/1.87 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(sk_c8, multiply(sk_c5, sk_c8)))),
% 2.55/1.87 inference(quant_inst,[status(thm)],[])).
% 2.55/1.87 tff(57,plain,
% 2.55/1.87 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 2.55/1.87 inference(unit_resolution,[status(thm)],[56, 32])).
% 2.55/1.87 tff(58,plain,
% 2.55/1.87 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c5), sk_c5) = identity)),
% 2.55/1.87 inference(quant_inst,[status(thm)],[])).
% 2.55/1.87 tff(59,plain,
% 2.55/1.87 (multiply(inverse(sk_c5), sk_c5) = identity),
% 2.55/1.87 inference(unit_resolution,[status(thm)],[58, 41])).
% 2.55/1.87 tff(60,plain,
% 2.55/1.87 (((inverse(sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8))),
% 2.55/1.87 inference(rewrite,[status(thm)],[])).
% 2.55/1.87 tff(61,axiom,((inverse(sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_35')).
% 2.55/1.87 tff(62,plain,
% 2.55/1.87 ((inverse(sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8)),
% 2.55/1.87 inference(modus_ponens,[status(thm)],[61, 60])).
% 2.55/1.87 tff(63,plain,
% 2.55/1.87 (inverse(sk_c5) = sk_c8),
% 2.55/1.87 inference(unit_resolution,[status(thm)],[62, 44])).
% 2.55/1.87 tff(64,plain,
% 2.55/1.87 (sk_c8 = inverse(sk_c5)),
% 2.55/1.87 inference(symmetry,[status(thm)],[63])).
% 2.55/1.87 tff(65,plain,
% 2.55/1.87 (multiply(sk_c8, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 2.55/1.87 inference(monotonicity,[status(thm)],[64])).
% 2.55/1.87 tff(66,plain,
% 2.55/1.87 (multiply(sk_c8, sk_c5) = identity),
% 2.55/1.87 inference(transitivity,[status(thm)],[65, 59])).
% 2.55/1.87 tff(67,plain,
% 2.55/1.87 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(identity, sk_c8)),
% 2.55/1.87 inference(monotonicity,[status(thm)],[66])).
% 2.55/1.87 tff(68,plain,
% 2.55/1.87 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 2.55/1.87 inference(symmetry,[status(thm)],[67])).
% 2.55/1.87 tff(69,plain,
% 2.55/1.87 (sk_c8 = multiply(identity, sk_c8)),
% 2.55/1.87 inference(symmetry,[status(thm)],[9])).
% 2.55/1.87 tff(70,plain,
% 2.55/1.87 (sk_c8 = sk_c7),
% 2.55/1.87 inference(transitivity,[status(thm)],[69, 68, 57, 55, 48])).
% 2.55/1.87 tff(71,plain,
% 2.55/1.87 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 2.55/1.87 inference(symmetry,[status(thm)],[57])).
% 2.55/1.87 tff(72,plain,
% 2.55/1.87 (sk_c7 = multiply(sk_c8, sk_c6)),
% 2.55/1.87 inference(symmetry,[status(thm)],[48])).
% 2.55/1.87 tff(73,plain,
% 2.55/1.87 (sk_c7 = sk_c8),
% 2.55/1.87 inference(transitivity,[status(thm)],[72, 54, 71, 67, 9])).
% 2.55/1.87 tff(74,plain,
% 2.55/1.87 (inverse(sk_c7) = inverse(sk_c8)),
% 2.55/1.87 inference(monotonicity,[status(thm)],[73])).
% 2.55/1.87 tff(75,plain,
% 2.55/1.87 ((inverse(sk_c7) = sk_c8) <=> (inverse(sk_c8) = sk_c7)),
% 2.55/1.87 inference(monotonicity,[status(thm)],[74, 70])).
% 2.55/1.87 tff(76,plain,
% 2.55/1.87 ((inverse(sk_c8) = sk_c7) <=> (inverse(sk_c7) = sk_c8)),
% 2.55/1.87 inference(symmetry,[status(thm)],[75])).
% 2.55/1.87 tff(77,plain,
% 2.55/1.87 (((inverse(sk_c2) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((inverse(sk_c2) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 2.55/1.87 inference(rewrite,[status(thm)],[])).
% 2.55/1.87 tff(78,axiom,((inverse(sk_c2) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_32')).
% 2.55/1.87 tff(79,plain,
% 2.55/1.87 ((inverse(sk_c2) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 2.55/1.87 inference(modus_ponens,[status(thm)],[78, 77])).
% 2.55/1.87 tff(80,plain,
% 2.55/1.87 (multiply(sk_c4, sk_c7) = sk_c8),
% 2.55/1.87 inference(unit_resolution,[status(thm)],[79, 44])).
% 2.55/1.87 tff(81,plain,
% 2.55/1.87 (((inverse(sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8))),
% 2.55/1.87 inference(rewrite,[status(thm)],[])).
% 2.55/1.87 tff(82,axiom,((inverse(sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_31')).
% 2.55/1.87 tff(83,plain,
% 2.55/1.87 ((inverse(sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 2.55/1.87 inference(modus_ponens,[status(thm)],[82, 81])).
% 2.55/1.88 tff(84,plain,
% 2.55/1.88 (inverse(sk_c4) = sk_c8),
% 2.55/1.88 inference(unit_resolution,[status(thm)],[83, 44])).
% 2.55/1.88 tff(85,assumption,(multiply(sk_c8, sk_c6) = sk_c7), introduced(assumption)).
% 2.55/1.88 tff(86,assumption,(multiply(sk_c5, sk_c8) = sk_c6), introduced(assumption)).
% 2.55/1.88 tff(87,plain,
% 2.55/1.88 (sk_c6 = multiply(sk_c5, sk_c8)),
% 2.55/1.88 inference(symmetry,[status(thm)],[86])).
% 2.55/1.88 tff(88,plain,
% 2.55/1.88 (multiply(sk_c8, sk_c6) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 2.55/1.88 inference(monotonicity,[status(thm)],[87])).
% 2.55/1.88 tff(89,plain,
% 2.55/1.88 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(sk_c8, sk_c6)),
% 2.55/1.88 inference(symmetry,[status(thm)],[88])).
% 2.55/1.88 tff(90,assumption,(inverse(sk_c5) = sk_c8), introduced(assumption)).
% 2.55/1.88 tff(91,plain,
% 2.55/1.88 (sk_c8 = inverse(sk_c5)),
% 2.55/1.88 inference(symmetry,[status(thm)],[90])).
% 2.55/1.88 tff(92,plain,
% 2.55/1.88 (multiply(sk_c8, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 2.55/1.88 inference(monotonicity,[status(thm)],[91])).
% 2.55/1.88 tff(93,plain,
% 2.55/1.88 (multiply(sk_c8, sk_c5) = identity),
% 2.55/1.88 inference(transitivity,[status(thm)],[92, 59])).
% 2.55/1.88 tff(94,plain,
% 2.55/1.88 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(identity, sk_c8)),
% 2.55/1.88 inference(monotonicity,[status(thm)],[93])).
% 2.55/1.88 tff(95,plain,
% 2.55/1.88 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 2.55/1.88 inference(symmetry,[status(thm)],[94])).
% 2.55/1.88 tff(96,assumption,(inverse(sk_c4) = sk_c8), introduced(assumption)).
% 2.55/1.88 tff(97,plain,
% 2.55/1.88 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c4) = sk_c4)),
% 2.55/1.88 inference(quant_inst,[status(thm)],[])).
% 2.55/1.88 tff(98,plain,
% 2.55/1.88 (multiply(identity, sk_c4) = sk_c4),
% 2.55/1.88 inference(unit_resolution,[status(thm)],[97, 7])).
% 2.55/1.88 tff(99,plain,
% 2.55/1.88 (multiply(inverse(sk_c5), sk_c5) = multiply(sk_c8, sk_c5)),
% 2.55/1.88 inference(symmetry,[status(thm)],[92])).
% 2.55/1.88 tff(100,plain,
% 2.55/1.88 (identity = multiply(inverse(sk_c5), sk_c5)),
% 2.55/1.88 inference(symmetry,[status(thm)],[59])).
% 2.55/1.88 tff(101,plain,
% 2.55/1.88 (identity = multiply(sk_c8, sk_c5)),
% 2.55/1.88 inference(transitivity,[status(thm)],[100, 99])).
% 2.55/1.88 tff(102,plain,
% 2.55/1.88 (multiply(identity, sk_c4) = multiply(multiply(sk_c8, sk_c5), sk_c4)),
% 2.55/1.88 inference(monotonicity,[status(thm)],[101])).
% 2.55/1.88 tff(103,plain,
% 2.55/1.88 (multiply(multiply(sk_c8, sk_c5), sk_c4) = multiply(identity, sk_c4)),
% 2.55/1.88 inference(symmetry,[status(thm)],[102])).
% 2.55/1.88 tff(104,plain,
% 2.55/1.88 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c5), sk_c4) = multiply(sk_c8, multiply(sk_c5, sk_c4)))),
% 2.55/1.88 inference(quant_inst,[status(thm)],[])).
% 2.55/1.88 tff(105,plain,
% 2.55/1.88 (multiply(multiply(sk_c8, sk_c5), sk_c4) = multiply(sk_c8, multiply(sk_c5, sk_c4))),
% 2.55/1.88 inference(unit_resolution,[status(thm)],[104, 32])).
% 2.55/1.88 tff(106,plain,
% 2.55/1.88 (multiply(sk_c8, multiply(sk_c5, sk_c4)) = multiply(multiply(sk_c8, sk_c5), sk_c4)),
% 2.55/1.88 inference(symmetry,[status(thm)],[105])).
% 2.55/1.88 tff(107,plain,
% 2.55/1.88 (sk_c8 = sk_c7),
% 2.55/1.88 inference(transitivity,[status(thm)],[69, 95, 57, 89, 85])).
% 2.55/1.88 tff(108,plain,
% 2.55/1.88 (multiply(sk_c4, sk_c8) = multiply(sk_c4, sk_c7)),
% 2.55/1.88 inference(monotonicity,[status(thm)],[107])).
% 2.55/1.88 tff(109,plain,
% 2.55/1.88 (multiply(sk_c4, sk_c7) = multiply(sk_c4, sk_c8)),
% 2.55/1.88 inference(symmetry,[status(thm)],[108])).
% 2.55/1.88 tff(110,assumption,(multiply(sk_c4, sk_c7) = sk_c8), introduced(assumption)).
% 2.55/1.88 tff(111,plain,
% 2.55/1.88 (sk_c8 = multiply(sk_c4, sk_c7)),
% 2.55/1.88 inference(symmetry,[status(thm)],[110])).
% 2.55/1.88 tff(112,plain,
% 2.55/1.88 (sk_c8 = multiply(sk_c4, sk_c8)),
% 2.55/1.88 inference(transitivity,[status(thm)],[111, 109])).
% 2.55/1.88 tff(113,plain,
% 2.55/1.88 (multiply(sk_c8, sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 2.55/1.88 inference(monotonicity,[status(thm)],[112])).
% 2.55/1.88 tff(114,plain,
% 2.55/1.88 (multiply(sk_c8, multiply(sk_c4, sk_c8)) = multiply(sk_c8, sk_c8)),
% 2.55/1.88 inference(symmetry,[status(thm)],[113])).
% 2.55/1.88 tff(115,plain,
% 2.55/1.88 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c8)))),
% 2.55/1.88 inference(quant_inst,[status(thm)],[])).
% 2.55/1.88 tff(116,plain,
% 2.55/1.88 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 2.55/1.88 inference(unit_resolution,[status(thm)],[115, 32])).
% 2.55/1.88 tff(117,plain,
% 2.55/1.88 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c4), sk_c4) = identity)),
% 2.55/1.88 inference(quant_inst,[status(thm)],[])).
% 2.55/1.88 tff(118,plain,
% 2.55/1.88 (multiply(inverse(sk_c4), sk_c4) = identity),
% 2.55/1.88 inference(unit_resolution,[status(thm)],[117, 41])).
% 2.55/1.88 tff(119,plain,
% 2.55/1.88 (sk_c8 = inverse(sk_c4)),
% 2.55/1.88 inference(symmetry,[status(thm)],[96])).
% 2.55/1.88 tff(120,plain,
% 2.55/1.88 (multiply(sk_c8, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 2.55/1.88 inference(monotonicity,[status(thm)],[119])).
% 2.55/1.88 tff(121,plain,
% 2.55/1.88 (multiply(sk_c8, sk_c4) = multiply(sk_c8, sk_c5)),
% 2.55/1.88 inference(transitivity,[status(thm)],[120, 118, 100, 99])).
% 2.55/1.88 tff(122,plain,
% 2.55/1.88 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 2.55/1.88 inference(monotonicity,[status(thm)],[121])).
% 2.55/1.88 tff(123,plain,
% 2.55/1.88 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(multiply(sk_c8, sk_c4), sk_c8)),
% 2.55/1.88 inference(symmetry,[status(thm)],[122])).
% 2.55/1.88 tff(124,plain,
% 2.55/1.88 (sk_c8 = multiply(sk_c8, sk_c8)),
% 2.55/1.88 inference(transitivity,[status(thm)],[69, 95, 123, 116, 114])).
% 2.55/1.88 tff(125,plain,
% 2.55/1.88 (multiply(sk_c8, multiply(sk_c5, sk_c4)) = multiply(multiply(sk_c8, sk_c8), multiply(sk_c5, sk_c4))),
% 2.55/1.88 inference(monotonicity,[status(thm)],[124])).
% 2.55/1.88 tff(126,plain,
% 2.55/1.88 (multiply(multiply(sk_c8, sk_c8), multiply(sk_c5, sk_c4)) = multiply(sk_c8, multiply(sk_c5, sk_c4))),
% 2.55/1.88 inference(symmetry,[status(thm)],[125])).
% 2.55/1.88 tff(127,plain,
% 2.55/1.88 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c8), multiply(sk_c5, sk_c4)) = multiply(sk_c8, multiply(sk_c8, multiply(sk_c5, sk_c4))))),
% 2.55/1.88 inference(quant_inst,[status(thm)],[])).
% 2.55/1.88 tff(128,plain,
% 2.55/1.88 (multiply(multiply(sk_c8, sk_c8), multiply(sk_c5, sk_c4)) = multiply(sk_c8, multiply(sk_c8, multiply(sk_c5, sk_c4)))),
% 2.55/1.88 inference(unit_resolution,[status(thm)],[127, 32])).
% 2.55/1.88 tff(129,plain,
% 2.55/1.88 (multiply(sk_c8, multiply(sk_c8, multiply(sk_c5, sk_c4))) = multiply(multiply(sk_c8, sk_c8), multiply(sk_c5, sk_c4))),
% 2.55/1.88 inference(symmetry,[status(thm)],[128])).
% 2.55/1.88 tff(130,plain,
% 2.55/1.88 (multiply(sk_c8, multiply(sk_c5, sk_c4)) = sk_c4),
% 2.55/1.88 inference(transitivity,[status(thm)],[106, 103, 98])).
% 2.55/1.88 tff(131,plain,
% 2.55/1.88 (multiply(sk_c8, multiply(sk_c8, multiply(sk_c5, sk_c4))) = multiply(inverse(sk_c4), sk_c4)),
% 2.55/1.88 inference(monotonicity,[status(thm)],[119, 130])).
% 2.55/1.88 tff(132,plain,
% 2.55/1.88 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c8, multiply(sk_c8, multiply(sk_c5, sk_c4)))),
% 2.55/1.88 inference(symmetry,[status(thm)],[131])).
% 2.55/1.88 tff(133,plain,
% 2.55/1.88 (identity = multiply(inverse(sk_c4), sk_c4)),
% 2.55/1.88 inference(symmetry,[status(thm)],[118])).
% 2.55/1.88 tff(134,plain,
% 2.55/1.88 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c8), sk_c8) = identity)),
% 2.55/1.88 inference(quant_inst,[status(thm)],[])).
% 2.55/1.88 tff(135,plain,
% 2.55/1.88 (multiply(inverse(sk_c8), sk_c8) = identity),
% 2.55/1.88 inference(unit_resolution,[status(thm)],[134, 41])).
% 2.55/1.88 tff(136,plain,
% 2.55/1.88 (multiply(inverse(sk_c8), sk_c8) = multiply(inverse(sk_c8), multiply(sk_c8, sk_c8))),
% 2.55/1.88 inference(monotonicity,[status(thm)],[124])).
% 2.55/1.88 tff(137,plain,
% 2.55/1.88 (multiply(inverse(sk_c8), multiply(sk_c8, sk_c8)) = multiply(inverse(sk_c8), sk_c8)),
% 2.55/1.88 inference(symmetry,[status(thm)],[136])).
% 2.55/1.88 tff(138,plain,
% 2.55/1.88 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c8), sk_c8), sk_c8) = multiply(inverse(sk_c8), multiply(sk_c8, sk_c8)))),
% 2.55/1.88 inference(quant_inst,[status(thm)],[])).
% 2.55/1.88 tff(139,plain,
% 2.55/1.88 (multiply(multiply(inverse(sk_c8), sk_c8), sk_c8) = multiply(inverse(sk_c8), multiply(sk_c8, sk_c8))),
% 2.55/1.88 inference(unit_resolution,[status(thm)],[138, 32])).
% 2.55/1.88 tff(140,plain,
% 2.55/1.88 (multiply(inverse(sk_c8), sk_c8) = multiply(sk_c8, sk_c5)),
% 2.55/1.88 inference(transitivity,[status(thm)],[135, 100, 99])).
% 2.55/1.88 tff(141,plain,
% 2.55/1.88 (multiply(multiply(inverse(sk_c8), sk_c8), sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 2.55/1.88 inference(monotonicity,[status(thm)],[140])).
% 2.55/1.88 tff(142,plain,
% 2.55/1.88 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(multiply(inverse(sk_c8), sk_c8), sk_c8)),
% 2.55/1.88 inference(symmetry,[status(thm)],[141])).
% 2.55/1.88 tff(143,plain,
% 2.55/1.88 (sk_c8 = sk_c4),
% 2.55/1.88 inference(transitivity,[status(thm)],[69, 95, 142, 139, 137, 135, 133, 132, 129, 126, 106, 103, 98])).
% 2.55/1.88 tff(144,plain,
% 2.55/1.88 (inverse(sk_c8) = inverse(sk_c4)),
% 2.55/1.88 inference(monotonicity,[status(thm)],[143])).
% 2.55/1.88 tff(145,plain,
% 2.55/1.88 (inverse(sk_c8) = sk_c7),
% 2.55/1.88 inference(transitivity,[status(thm)],[144, 96, 69, 95, 57, 89, 85])).
% 2.55/1.88 tff(146,assumption,(~(inverse(sk_c8) = sk_c7)), introduced(assumption)).
% 2.55/1.88 tff(147,plain,
% 2.55/1.88 ($false),
% 2.55/1.88 inference(unit_resolution,[status(thm)],[146, 145])).
% 2.55/1.88 tff(148,plain,((inverse(sk_c8) = sk_c7) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6))), inference(lemma,lemma(discharge,[]))).
% 2.55/1.88 tff(149,plain,
% 2.55/1.88 (inverse(sk_c8) = sk_c7),
% 2.55/1.88 inference(unit_resolution,[status(thm)],[148, 48, 84, 63, 80, 52])).
% 2.55/1.88 tff(150,plain,
% 2.55/1.88 (inverse(sk_c7) = sk_c8),
% 2.55/1.88 inference(modus_ponens,[status(thm)],[149, 76])).
% 2.55/1.88 tff(151,plain,
% 2.55/1.88 (inverse(sk_c4) = sk_c7),
% 2.55/1.88 inference(transitivity,[status(thm)],[84, 69, 68, 57, 55, 48])).
% 2.55/1.88 tff(152,plain,
% 2.55/1.88 (^[X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : refl(((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))))),
% 2.55/1.88 inference(bind,[status(th)],[])).
% 2.55/1.88 tff(153,plain,
% 2.55/1.88 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))),
% 2.55/1.88 inference(quant_intro,[status(thm)],[152])).
% 2.55/1.88 tff(154,plain,
% 2.55/1.88 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))),
% 2.55/1.88 inference(rewrite,[status(thm)],[])).
% 2.55/1.88 tff(155,plain,
% 2.55/1.88 (^[X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)))), ((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) <=> (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))))), rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(X4, sk_c7) = sk_c8)))), ((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(X4, sk_c7) = sk_c8))))), (((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(inverse(X4) = sk_c7))) <=> (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(inverse(X4) = sk_c7))))), rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(inverse(X4) = sk_c7))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))), (((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(inverse(X4) = sk_c7))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))))), ((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(inverse(X4) = sk_c7))) | (~(multiply(sk_c8, X5) = sk_c7))) <=> (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = 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| (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(multiply(X6, sk_c8) = X5))))), rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(multiply(X6, sk_c8) = X5))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))), (((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(inverse(X4) = sk_c7))) | (~(multiply(sk_c8, X5) = sk_c7))) | (~(multiply(X6, sk_c8) = X5))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))))), ((((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(inverse(X4) = sk_c7))) | (~(multiply(sk_c8, X5) = sk_c7))) | (~(multiply(X6, sk_c8) = X5))) | (~(inverse(X6) = sk_c8))) <=> (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))))), rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))), ((((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(inverse(X4) = sk_c7))) | (~(multiply(sk_c8, X5) = sk_c7))) | (~(multiply(X6, sk_c8) = X5))) | (~(inverse(X6) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))))), (((((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(inverse(X4) = sk_c7))) | (~(multiply(sk_c8, X5) = sk_c7))) | (~(multiply(X6, sk_c8) = X5))) | (~(inverse(X6) = sk_c8))) | (~(inverse(X1) = sk_c8))) <=> (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(inverse(X1) = sk_c8))))), rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(inverse(X1) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))), (((((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(inverse(X4) = sk_c7))) | (~(multiply(sk_c8, X5) = sk_c7))) | (~(multiply(X6, sk_c8) = X5))) | (~(inverse(X6) = sk_c8))) | (~(inverse(X1) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))))), ((((((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(inverse(X4) = sk_c7))) | (~(multiply(sk_c8, X5) = sk_c7))) | (~(multiply(X6, sk_c8) = X5))) | (~(inverse(X6) = sk_c8))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) <=> (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))))), rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))), ((((((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(inverse(X4) = sk_c7))) | (~(multiply(sk_c8, X5) = sk_c7))) | (~(multiply(X6, sk_c8) = X5))) | (~(inverse(X6) = sk_c8))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))))), (((((((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(inverse(X4) = sk_c7))) | (~(multiply(sk_c8, X5) = sk_c7))) | (~(multiply(X6, sk_c8) = X5))) | (~(inverse(X6) = sk_c8))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) <=> (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))))), rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))), (((((((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(inverse(X4) = sk_c7))) | (~(multiply(sk_c8, X5) = sk_c7))) | (~(multiply(X6, sk_c8) = X5))) | (~(inverse(X6) = sk_c8))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))))), ((((((((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(inverse(X4) = sk_c7))) | (~(multiply(sk_c8, X5) = sk_c7))) | (~(multiply(X6, sk_c8) = X5))) | (~(inverse(X6) = sk_c8))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) | (~(multiply(X3, sk_c8) = X2))) <=> (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(multiply(X3, sk_c8) = X2))))), rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(multiply(X3, sk_c8) = X2))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))), ((((((((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(inverse(X4) = sk_c7))) | (~(multiply(sk_c8, X5) = sk_c7))) | (~(multiply(X6, sk_c8) = X5))) | (~(inverse(X6) = sk_c8))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) | (~(multiply(X3, sk_c8) = X2))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))))), (((((((((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(inverse(X4) = sk_c7))) | (~(multiply(sk_c8, X5) = sk_c7))) | (~(multiply(X6, sk_c8) = X5))) | (~(inverse(X6) = sk_c8))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) | (~(multiply(X3, sk_c8) = X2))) | (~(inverse(X3) = sk_c8))) <=> (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c8))))), rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))), (((((((((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(inverse(X4) = sk_c7))) | (~(multiply(sk_c8, X5) = sk_c7))) | (~(multiply(X6, sk_c8) = X5))) | (~(inverse(X6) = sk_c8))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) | (~(multiply(X3, sk_c8) = X2))) | (~(inverse(X3) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))))),
% 2.55/1.90 inference(bind,[status(th)],[])).
% 2.55/1.90 tff(156,plain,
% 2.55/1.90 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(inverse(X4) = sk_c7))) | (~(multiply(sk_c8, X5) = sk_c7))) | (~(multiply(X6, sk_c8) = X5))) | (~(inverse(X6) = sk_c8))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) | (~(multiply(X3, sk_c8) = X2))) | (~(inverse(X3) = sk_c8))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))),
% 2.55/1.90 inference(quant_intro,[status(thm)],[155])).
% 2.55/1.90 tff(157,axiom,(![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8))) | (~(multiply(X4, sk_c7) = sk_c8))) | (~(inverse(X4) = sk_c7))) | (~(multiply(sk_c8, X5) = sk_c7))) | (~(multiply(X6, sk_c8) = X5))) | (~(inverse(X6) = sk_c8))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) | (~(multiply(X3, sk_c8) = X2))) | (~(inverse(X3) = sk_c8)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_36')).
% 2.55/1.90 tff(158,plain,
% 2.55/1.90 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))),
% 2.55/1.90 inference(modus_ponens,[status(thm)],[157, 156])).
% 2.55/1.90 tff(159,plain,
% 2.55/1.90 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))),
% 2.55/1.90 inference(modus_ponens,[status(thm)],[158, 154])).
% 2.55/1.90 tff(160,plain,(
% 2.55/1.90 ![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))),
% 2.55/1.90 inference(skolemize,[status(sab)],[159])).
% 2.55/1.90 tff(161,plain,
% 2.55/1.90 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))),
% 2.55/1.90 inference(modus_ponens,[status(thm)],[160, 153])).
% 2.55/1.90 tff(162,plain,
% 2.55/1.90 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)))),
% 2.55/1.90 inference(rewrite,[status(thm)],[])).
% 2.55/1.90 tff(163,plain,
% 2.55/1.90 (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)))),
% 2.55/1.90 inference(rewrite,[status(thm)],[])).
% 2.55/1.90 tff(164,plain,
% 2.55/1.90 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6))))),
% 2.66/1.91 inference(monotonicity,[status(thm)],[163])).
% 2.66/1.91 tff(165,plain,
% 2.66/1.91 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)))),
% 2.66/1.91 inference(transitivity,[status(thm)],[164, 162])).
% 2.66/1.91 tff(166,plain,
% 2.66/1.91 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)))),
% 2.66/1.91 inference(quant_inst,[status(thm)],[])).
% 2.66/1.91 tff(167,plain,
% 2.66/1.91 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6))),
% 2.66/1.91 inference(modus_ponens,[status(thm)],[166, 165])).
% 2.66/1.91 tff(168,plain,
% 2.66/1.91 ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c7))),
% 2.66/1.91 inference(unit_resolution,[status(thm)],[167, 84, 80, 48, 52, 63, 161])).
% 2.66/1.91 tff(169,plain,
% 2.66/1.91 (~(inverse(sk_c7) = sk_c8)),
% 2.66/1.91 inference(unit_resolution,[status(thm)],[168, 149, 151])).
% 2.66/1.91 tff(170,plain,
% 2.66/1.91 ($false),
% 2.66/1.91 inference(unit_resolution,[status(thm)],[169, 150])).
% 2.66/1.91 tff(171,plain,(inverse(sk_c2) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 2.66/1.91 tff(172,plain,
% 2.66/1.91 (sk_c8 = inverse(sk_c2)),
% 2.66/1.91 inference(symmetry,[status(thm)],[171])).
% 2.66/1.91 tff(173,plain,
% 2.66/1.91 (multiply(sk_c8, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 2.66/1.91 inference(monotonicity,[status(thm)],[172])).
% 2.66/1.91 tff(174,plain,
% 2.66/1.91 (multiply(sk_c8, sk_c2) = identity),
% 2.66/1.91 inference(transitivity,[status(thm)],[173, 43])).
% 2.66/1.91 tff(175,plain,
% 2.66/1.91 (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(identity, sk_c8)),
% 2.66/1.91 inference(monotonicity,[status(thm)],[174])).
% 2.66/1.91 tff(176,plain,
% 2.66/1.91 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c2), sk_c8)),
% 2.66/1.91 inference(symmetry,[status(thm)],[175])).
% 2.66/1.91 tff(177,plain,
% 2.66/1.91 (inverse(sk_c2) = sk_c7),
% 2.66/1.91 inference(transitivity,[status(thm)],[171, 69, 176, 34, 25, 16])).
% 2.66/1.91 tff(178,plain,
% 2.66/1.91 ((sk_c7 = inverse(sk_c2)) <=> (inverse(sk_c2) = sk_c7)),
% 2.66/1.91 inference(commutativity,[status(thm)],[])).
% 2.66/1.91 tff(179,plain,
% 2.66/1.91 (((inverse(sk_c1) = sk_c7) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c1) = sk_c7) | (inverse(sk_c5) = sk_c8))),
% 2.66/1.91 inference(rewrite,[status(thm)],[])).
% 2.66/1.91 tff(180,axiom,((inverse(sk_c1) = sk_c7) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_20')).
% 2.66/1.91 tff(181,plain,
% 2.66/1.91 ((inverse(sk_c1) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 2.66/1.91 inference(modus_ponens,[status(thm)],[180, 179])).
% 2.66/1.91 tff(182,plain,
% 2.66/1.91 (inverse(sk_c1) = sk_c7),
% 2.66/1.91 inference(unit_resolution,[status(thm)],[181, 10])).
% 2.66/1.91 tff(183,plain,
% 2.66/1.91 ((inverse(sk_c1) = sk_c8) <=> (sk_c7 = inverse(sk_c2))),
% 2.66/1.91 inference(monotonicity,[status(thm)],[182, 172])).
% 2.66/1.91 tff(184,plain,
% 2.66/1.91 ((inverse(sk_c1) = sk_c8) <=> (inverse(sk_c2) = sk_c7)),
% 2.66/1.91 inference(transitivity,[status(thm)],[183, 178])).
% 2.66/1.91 tff(185,plain,
% 2.66/1.91 ((~(inverse(sk_c1) = sk_c8)) <=> (~(inverse(sk_c2) = sk_c7))),
% 2.66/1.91 inference(monotonicity,[status(thm)],[184])).
% 2.66/1.91 tff(186,plain,
% 2.66/1.91 (((inverse(sk_c5) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8))),
% 2.66/1.91 inference(rewrite,[status(thm)],[])).
% 2.66/1.91 tff(187,plain,
% 2.66/1.91 (((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8))),
% 2.66/1.91 inference(rewrite,[status(thm)],[])).
% 2.66/1.91 tff(188,axiom,((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_15')).
% 2.66/1.91 tff(189,plain,
% 2.66/1.91 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8)),
% 2.66/1.91 inference(modus_ponens,[status(thm)],[188, 187])).
% 2.66/1.91 tff(190,plain,
% 2.66/1.91 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8)),
% 2.66/1.91 inference(modus_ponens,[status(thm)],[189, 186])).
% 2.66/1.91 tff(191,plain,
% 2.66/1.91 (multiply(sk_c1, sk_c7) = sk_c8),
% 2.66/1.91 inference(unit_resolution,[status(thm)],[190, 10])).
% 2.66/1.91 tff(192,assumption,(~(inverse(sk_c7) = sk_c8)), introduced(assumption)).
% 2.66/1.91 tff(193,plain,
% 2.66/1.91 (((inverse(sk_c5) = sk_c8) | (inverse(sk_c7) = sk_c8)) <=> ((inverse(sk_c5) = sk_c8) | (inverse(sk_c7) = sk_c8))),
% 2.66/1.91 inference(rewrite,[status(thm)],[])).
% 2.66/1.91 tff(194,plain,
% 2.66/1.91 (((inverse(sk_c7) = sk_c8) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c5) = sk_c8) | (inverse(sk_c7) = sk_c8))),
% 2.66/1.91 inference(rewrite,[status(thm)],[])).
% 2.66/1.91 tff(195,axiom,((inverse(sk_c7) = sk_c8) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_10')).
% 2.66/1.91 tff(196,plain,
% 2.66/1.91 ((inverse(sk_c5) = sk_c8) | (inverse(sk_c7) = sk_c8)),
% 2.66/1.91 inference(modus_ponens,[status(thm)],[195, 194])).
% 2.66/1.91 tff(197,plain,
% 2.66/1.91 ((inverse(sk_c5) = sk_c8) | (inverse(sk_c7) = sk_c8)),
% 2.66/1.91 inference(modus_ponens,[status(thm)],[196, 193])).
% 2.66/1.91 tff(198,plain,
% 2.66/1.91 (inverse(sk_c5) = sk_c8),
% 2.66/1.91 inference(unit_resolution,[status(thm)],[197, 192])).
% 2.66/1.91 tff(199,plain,
% 2.66/1.91 (sk_c8 = inverse(sk_c5)),
% 2.66/1.91 inference(symmetry,[status(thm)],[198])).
% 2.66/1.91 tff(200,plain,
% 2.66/1.91 (multiply(sk_c8, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 2.66/1.91 inference(monotonicity,[status(thm)],[199])).
% 2.66/1.91 tff(201,plain,
% 2.66/1.91 (multiply(sk_c8, sk_c5) = identity),
% 2.66/1.91 inference(transitivity,[status(thm)],[200, 59])).
% 2.66/1.91 tff(202,plain,
% 2.66/1.91 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(identity, sk_c8)),
% 2.66/1.91 inference(monotonicity,[status(thm)],[201])).
% 2.66/1.91 tff(203,assumption,(~(multiply(sk_c5, sk_c8) = sk_c6)), introduced(assumption)).
% 2.66/1.91 tff(204,plain,
% 2.66/1.91 (((multiply(sk_c5, sk_c8) = sk_c6) | (multiply(sk_c8, sk_c3) = sk_c7)) <=> ((multiply(sk_c5, sk_c8) = sk_c6) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 2.66/1.91 inference(rewrite,[status(thm)],[])).
% 2.66/1.91 tff(205,plain,
% 2.66/1.91 (((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((multiply(sk_c5, sk_c8) = sk_c6) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 2.66/1.91 inference(rewrite,[status(thm)],[])).
% 2.66/1.91 tff(206,axiom,((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_24')).
% 2.66/1.91 tff(207,plain,
% 2.66/1.91 ((multiply(sk_c5, sk_c8) = sk_c6) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 2.66/1.91 inference(modus_ponens,[status(thm)],[206, 205])).
% 2.66/1.91 tff(208,plain,
% 2.66/1.91 ((multiply(sk_c5, sk_c8) = sk_c6) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 2.66/1.91 inference(modus_ponens,[status(thm)],[207, 204])).
% 2.66/1.91 tff(209,plain,
% 2.66/1.91 (multiply(sk_c8, sk_c3) = sk_c7),
% 2.66/1.91 inference(unit_resolution,[status(thm)],[208, 203])).
% 2.66/1.91 tff(210,plain,
% 2.66/1.91 (((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 2.66/1.91 inference(rewrite,[status(thm)],[])).
% 2.66/1.91 tff(211,axiom,((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_29')).
% 2.66/1.91 tff(212,plain,
% 2.66/1.91 ((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 2.66/1.91 inference(modus_ponens,[status(thm)],[211, 210])).
% 2.66/1.91 tff(213,plain,
% 2.66/1.91 (multiply(sk_c2, sk_c8) = sk_c3),
% 2.66/1.91 inference(unit_resolution,[status(thm)],[212, 203])).
% 2.66/1.91 tff(214,plain,
% 2.66/1.91 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = multiply(sk_c8, sk_c3)),
% 2.66/1.91 inference(monotonicity,[status(thm)],[213])).
% 2.66/1.91 tff(215,plain,
% 2.66/1.91 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c8, sk_c2)),
% 2.66/1.91 inference(symmetry,[status(thm)],[173])).
% 2.66/1.91 tff(216,plain,
% 2.66/1.91 (identity = multiply(inverse(sk_c2), sk_c2)),
% 2.66/1.91 inference(symmetry,[status(thm)],[43])).
% 2.66/1.91 tff(217,plain,
% 2.66/1.91 (identity = multiply(sk_c8, sk_c2)),
% 2.66/1.91 inference(transitivity,[status(thm)],[216, 215])).
% 2.66/1.91 tff(218,plain,
% 2.66/1.91 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c2), sk_c8)),
% 2.66/1.91 inference(monotonicity,[status(thm)],[217])).
% 2.66/1.91 tff(219,plain,
% 2.66/1.91 (inverse(sk_c2) = sk_c7),
% 2.66/1.91 inference(transitivity,[status(thm)],[171, 69, 218, 34, 214, 209])).
% 2.66/1.91 tff(220,plain,
% 2.66/1.91 (((inverse(sk_c1) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((inverse(sk_c1) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 2.66/1.91 inference(rewrite,[status(thm)],[])).
% 2.66/1.91 tff(221,axiom,((inverse(sk_c1) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_19')).
% 2.66/1.91 tff(222,plain,
% 2.66/1.91 ((inverse(sk_c1) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 2.66/1.91 inference(modus_ponens,[status(thm)],[221, 220])).
% 2.66/1.91 tff(223,plain,
% 2.66/1.91 (inverse(sk_c1) = sk_c7),
% 2.66/1.91 inference(unit_resolution,[status(thm)],[222, 203])).
% 2.66/1.91 tff(224,plain,
% 2.66/1.91 ((inverse(sk_c1) = sk_c8) <=> (sk_c7 = inverse(sk_c2))),
% 2.66/1.91 inference(monotonicity,[status(thm)],[223, 172])).
% 2.66/1.91 tff(225,plain,
% 2.66/1.91 ((inverse(sk_c1) = sk_c8) <=> (inverse(sk_c2) = sk_c7)),
% 2.66/1.91 inference(transitivity,[status(thm)],[224, 178])).
% 2.66/1.91 tff(226,plain,
% 2.66/1.91 ((~(inverse(sk_c1) = sk_c8)) <=> (~(inverse(sk_c2) = sk_c7))),
% 2.66/1.91 inference(monotonicity,[status(thm)],[225])).
% 2.66/1.91 tff(227,plain,
% 2.66/1.91 (((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 2.66/1.91 inference(rewrite,[status(thm)],[])).
% 2.66/1.91 tff(228,axiom,((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_14')).
% 2.66/1.91 tff(229,plain,
% 2.66/1.91 ((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 2.66/1.91 inference(modus_ponens,[status(thm)],[228, 227])).
% 2.66/1.91 tff(230,plain,
% 2.66/1.91 (multiply(sk_c1, sk_c7) = sk_c8),
% 2.66/1.91 inference(unit_resolution,[status(thm)],[229, 203])).
% 2.66/1.91 tff(231,plain,
% 2.66/1.91 (((inverse(sk_c7) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((inverse(sk_c7) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 2.66/1.91 inference(rewrite,[status(thm)],[])).
% 2.66/1.91 tff(232,axiom,((inverse(sk_c7) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_9')).
% 2.66/1.91 tff(233,plain,
% 2.66/1.91 ((inverse(sk_c7) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 2.66/1.91 inference(modus_ponens,[status(thm)],[232, 231])).
% 2.66/1.91 tff(234,plain,
% 2.66/1.91 (inverse(sk_c7) = sk_c8),
% 2.66/1.91 inference(unit_resolution,[status(thm)],[233, 203])).
% 2.66/1.91 tff(235,plain,
% 2.66/1.91 (((inverse(sk_c8) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((inverse(sk_c8) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 2.66/1.91 inference(rewrite,[status(thm)],[])).
% 2.66/1.91 tff(236,axiom,((inverse(sk_c8) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_4')).
% 2.66/1.91 tff(237,plain,
% 2.66/1.91 ((inverse(sk_c8) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 2.66/1.91 inference(modus_ponens,[status(thm)],[236, 235])).
% 2.66/1.91 tff(238,plain,
% 2.66/1.91 (multiply(sk_c5, sk_c8) = sk_c6),
% 2.66/1.91 inference(unit_resolution,[status(thm)],[237, 146])).
% 2.66/1.91 tff(239,plain,
% 2.66/1.91 (((inverse(sk_c8) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((inverse(sk_c8) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 2.66/1.91 inference(rewrite,[status(thm)],[])).
% 2.66/1.91 tff(240,axiom,((inverse(sk_c8) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_2')).
% 2.66/1.91 tff(241,plain,
% 2.66/1.91 ((inverse(sk_c8) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 2.66/1.91 inference(modus_ponens,[status(thm)],[240, 239])).
% 2.66/1.91 tff(242,plain,
% 2.66/1.91 (multiply(sk_c4, sk_c7) = sk_c8),
% 2.66/1.91 inference(unit_resolution,[status(thm)],[241, 146])).
% 2.66/1.91 tff(243,plain,
% 2.66/1.91 (((inverse(sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8))),
% 2.66/1.91 inference(rewrite,[status(thm)],[])).
% 2.66/1.91 tff(244,axiom,((inverse(sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_5')).
% 2.66/1.91 tff(245,plain,
% 2.66/1.91 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 2.66/1.91 inference(modus_ponens,[status(thm)],[244, 243])).
% 2.66/1.91 tff(246,plain,
% 2.66/1.91 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 2.66/1.91 inference(modus_ponens,[status(thm)],[245, 243])).
% 2.66/1.91 tff(247,plain,
% 2.66/1.91 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 2.66/1.91 inference(modus_ponens,[status(thm)],[246, 243])).
% 2.66/1.91 tff(248,plain,
% 2.66/1.91 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 2.66/1.91 inference(modus_ponens,[status(thm)],[247, 243])).
% 2.66/1.91 tff(249,plain,
% 2.66/1.91 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 2.66/1.91 inference(modus_ponens,[status(thm)],[248, 243])).
% 2.66/1.91 tff(250,plain,
% 2.66/1.91 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 2.66/1.91 inference(modus_ponens,[status(thm)],[249, 243])).
% 2.66/1.91 tff(251,plain,
% 2.66/1.91 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 2.66/1.91 inference(modus_ponens,[status(thm)],[250, 243])).
% 2.66/1.92 tff(252,plain,
% 2.66/1.92 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 2.66/1.92 inference(modus_ponens,[status(thm)],[251, 243])).
% 2.66/1.92 tff(253,plain,
% 2.66/1.92 (inverse(sk_c5) = sk_c8),
% 2.66/1.92 inference(unit_resolution,[status(thm)],[252, 146])).
% 2.66/1.92 tff(254,plain,
% 2.66/1.92 (((inverse(sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8))),
% 2.66/1.92 inference(rewrite,[status(thm)],[])).
% 2.66/1.92 tff(255,axiom,((inverse(sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_1')).
% 2.66/1.92 tff(256,plain,
% 2.66/1.92 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 2.66/1.92 inference(modus_ponens,[status(thm)],[255, 254])).
% 2.66/1.92 tff(257,plain,
% 2.66/1.92 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 2.66/1.92 inference(modus_ponens,[status(thm)],[256, 254])).
% 2.66/1.92 tff(258,plain,
% 2.66/1.92 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 2.66/1.92 inference(modus_ponens,[status(thm)],[257, 254])).
% 2.66/1.92 tff(259,plain,
% 2.66/1.92 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 2.66/1.92 inference(modus_ponens,[status(thm)],[258, 254])).
% 2.66/1.92 tff(260,plain,
% 2.66/1.92 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 2.66/1.92 inference(modus_ponens,[status(thm)],[259, 254])).
% 2.66/1.92 tff(261,plain,
% 2.66/1.92 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 2.66/1.92 inference(modus_ponens,[status(thm)],[260, 254])).
% 2.66/1.92 tff(262,plain,
% 2.66/1.92 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 2.66/1.92 inference(modus_ponens,[status(thm)],[261, 254])).
% 2.66/1.92 tff(263,plain,
% 2.66/1.92 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 2.66/1.92 inference(modus_ponens,[status(thm)],[262, 254])).
% 2.66/1.92 tff(264,plain,
% 2.66/1.92 (inverse(sk_c4) = sk_c8),
% 2.66/1.92 inference(unit_resolution,[status(thm)],[263, 146])).
% 2.66/1.92 tff(265,plain,
% 2.66/1.92 (((inverse(sk_c8) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7)) <=> ((inverse(sk_c8) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7))),
% 2.66/1.92 inference(rewrite,[status(thm)],[])).
% 2.66/1.92 tff(266,axiom,((inverse(sk_c8) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_3')).
% 2.66/1.92 tff(267,plain,
% 2.66/1.92 ((inverse(sk_c8) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7)),
% 2.66/1.92 inference(modus_ponens,[status(thm)],[266, 265])).
% 2.66/1.92 tff(268,plain,
% 2.66/1.92 (multiply(sk_c8, sk_c6) = sk_c7),
% 2.66/1.92 inference(unit_resolution,[status(thm)],[267, 146])).
% 2.66/1.92 tff(269,plain,
% 2.66/1.92 ($false),
% 2.66/1.92 inference(unit_resolution,[status(thm)],[148, 268, 146, 264, 253, 242, 238])).
% 2.66/1.92 tff(270,plain,(inverse(sk_c8) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 2.66/1.92 tff(271,plain,
% 2.66/1.92 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)))),
% 2.66/1.92 inference(rewrite,[status(thm)],[])).
% 2.66/1.92 tff(272,plain,
% 2.66/1.92 (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)))),
% 2.66/1.92 inference(rewrite,[status(thm)],[])).
% 2.66/1.92 tff(273,plain,
% 2.66/1.92 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c2) = sk_c8))))),
% 2.66/1.92 inference(monotonicity,[status(thm)],[272])).
% 2.66/1.92 tff(274,plain,
% 2.66/1.92 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)))),
% 2.66/1.92 inference(transitivity,[status(thm)],[273, 271])).
% 2.66/1.92 tff(275,plain,
% 2.66/1.92 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)))),
% 2.66/1.93 inference(quant_inst,[status(thm)],[])).
% 2.66/1.93 tff(276,plain,
% 2.66/1.93 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c2) = sk_c8))),
% 2.66/1.93 inference(modus_ponens,[status(thm)],[275, 274])).
% 2.66/1.93 tff(277,plain,
% 2.66/1.93 (~(inverse(sk_c1) = sk_c8)),
% 2.66/1.93 inference(unit_resolution,[status(thm)],[276, 270, 234, 230, 223, 209, 213, 171, 161])).
% 2.66/1.93 tff(278,plain,
% 2.66/1.93 (~(inverse(sk_c2) = sk_c7)),
% 2.66/1.93 inference(modus_ponens,[status(thm)],[277, 226])).
% 2.66/1.93 tff(279,plain,
% 2.66/1.93 ($false),
% 2.66/1.93 inference(unit_resolution,[status(thm)],[278, 219])).
% 2.66/1.93 tff(280,plain,(multiply(sk_c5, sk_c8) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 2.66/1.93 tff(281,plain,
% 2.66/1.93 (sk_c6 = multiply(sk_c5, sk_c8)),
% 2.66/1.93 inference(symmetry,[status(thm)],[280])).
% 2.66/1.93 tff(282,plain,
% 2.66/1.93 (multiply(sk_c8, sk_c6) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 2.66/1.93 inference(monotonicity,[status(thm)],[281])).
% 2.66/1.93 tff(283,assumption,(~(multiply(sk_c8, sk_c6) = sk_c7)), introduced(assumption)).
% 2.66/1.93 tff(284,plain,
% 2.66/1.93 (((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7)) <=> ((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7))),
% 2.66/1.93 inference(rewrite,[status(thm)],[])).
% 2.66/1.93 tff(285,axiom,((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_23')).
% 2.66/1.93 tff(286,plain,
% 2.66/1.93 ((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7)),
% 2.66/1.93 inference(modus_ponens,[status(thm)],[285, 284])).
% 2.66/1.93 tff(287,plain,
% 2.66/1.93 (multiply(sk_c8, sk_c3) = sk_c7),
% 2.66/1.93 inference(unit_resolution,[status(thm)],[286, 283])).
% 2.66/1.93 tff(288,plain,
% 2.66/1.93 (((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c8, sk_c6) = sk_c7)) <=> ((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c8, sk_c6) = sk_c7))),
% 2.66/1.93 inference(rewrite,[status(thm)],[])).
% 2.66/1.93 tff(289,axiom,((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c8, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_28')).
% 2.66/1.93 tff(290,plain,
% 2.66/1.93 ((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c8, sk_c6) = sk_c7)),
% 2.66/1.93 inference(modus_ponens,[status(thm)],[289, 288])).
% 2.66/1.93 tff(291,plain,
% 2.66/1.93 (multiply(sk_c2, sk_c8) = sk_c3),
% 2.66/1.93 inference(unit_resolution,[status(thm)],[290, 283])).
% 2.66/1.93 tff(292,plain,
% 2.66/1.93 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = multiply(sk_c8, sk_c3)),
% 2.66/1.93 inference(monotonicity,[status(thm)],[291])).
% 2.66/1.93 tff(293,plain,
% 2.66/1.93 (inverse(sk_c2) = sk_c7),
% 2.66/1.93 inference(transitivity,[status(thm)],[171, 69, 218, 34, 292, 287])).
% 2.66/1.93 tff(294,plain,
% 2.66/1.93 (((inverse(sk_c1) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7)) <=> ((inverse(sk_c1) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7))),
% 2.66/1.93 inference(rewrite,[status(thm)],[])).
% 2.66/1.93 tff(295,axiom,((inverse(sk_c1) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_18')).
% 2.66/1.93 tff(296,plain,
% 2.66/1.93 ((inverse(sk_c1) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7)),
% 2.66/1.93 inference(modus_ponens,[status(thm)],[295, 294])).
% 2.66/1.93 tff(297,plain,
% 2.66/1.93 (inverse(sk_c1) = sk_c7),
% 2.66/1.93 inference(unit_resolution,[status(thm)],[296, 283])).
% 2.66/1.93 tff(298,plain,
% 2.66/1.93 ((inverse(sk_c1) = sk_c8) <=> (sk_c7 = inverse(sk_c2))),
% 2.66/1.93 inference(monotonicity,[status(thm)],[297, 172])).
% 2.66/1.93 tff(299,plain,
% 2.66/1.93 ((inverse(sk_c1) = sk_c8) <=> (inverse(sk_c2) = sk_c7)),
% 2.66/1.93 inference(transitivity,[status(thm)],[298, 178])).
% 2.66/1.93 tff(300,plain,
% 2.66/1.93 ((~(inverse(sk_c1) = sk_c8)) <=> (~(inverse(sk_c2) = sk_c7))),
% 2.66/1.93 inference(monotonicity,[status(thm)],[299])).
% 2.66/1.93 tff(301,plain,
% 2.66/1.93 (((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)) <=> ((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7))),
% 2.66/1.93 inference(rewrite,[status(thm)],[])).
% 2.66/1.93 tff(302,axiom,((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_13')).
% 2.66/1.93 tff(303,plain,
% 2.66/1.93 ((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)),
% 2.66/1.93 inference(modus_ponens,[status(thm)],[302, 301])).
% 2.66/1.93 tff(304,plain,
% 2.66/1.93 (multiply(sk_c1, sk_c7) = sk_c8),
% 2.66/1.93 inference(unit_resolution,[status(thm)],[303, 283])).
% 2.66/1.93 tff(305,plain,
% 2.66/1.93 (((inverse(sk_c7) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)) <=> ((inverse(sk_c7) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7))),
% 2.66/1.93 inference(rewrite,[status(thm)],[])).
% 2.66/1.93 tff(306,axiom,((inverse(sk_c7) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_8')).
% 2.66/1.93 tff(307,plain,
% 2.66/1.93 ((inverse(sk_c7) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)),
% 2.66/1.93 inference(modus_ponens,[status(thm)],[306, 305])).
% 2.66/1.93 tff(308,plain,
% 2.66/1.93 (inverse(sk_c7) = sk_c8),
% 2.66/1.93 inference(unit_resolution,[status(thm)],[307, 283])).
% 2.66/1.93 tff(309,plain,
% 2.66/1.93 (~(inverse(sk_c1) = sk_c8)),
% 2.66/1.93 inference(unit_resolution,[status(thm)],[276, 270, 308, 304, 297, 287, 291, 171, 161])).
% 2.66/1.93 tff(310,plain,
% 2.66/1.93 (~(inverse(sk_c2) = sk_c7)),
% 2.66/1.93 inference(modus_ponens,[status(thm)],[309, 300])).
% 2.66/1.93 tff(311,plain,
% 2.66/1.93 ($false),
% 2.66/1.93 inference(unit_resolution,[status(thm)],[310, 293])).
% 2.66/1.93 tff(312,plain,(multiply(sk_c8, sk_c6) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 2.66/1.93 tff(313,plain,
% 2.66/1.93 (sk_c7 = multiply(sk_c8, sk_c6)),
% 2.66/1.93 inference(symmetry,[status(thm)],[312])).
% 2.66/1.93 tff(314,plain,
% 2.66/1.93 (sk_c7 = sk_c8),
% 2.66/1.93 inference(transitivity,[status(thm)],[313, 282, 71, 202, 9])).
% 2.66/1.93 tff(315,plain,
% 2.66/1.93 (inverse(sk_c7) = inverse(sk_c8)),
% 2.66/1.93 inference(monotonicity,[status(thm)],[314])).
% 2.66/1.93 tff(316,plain,
% 2.66/1.93 (inverse(sk_c7) = sk_c8),
% 2.66/1.93 inference(transitivity,[status(thm)],[315, 270, 313, 282, 71, 202, 9])).
% 2.66/1.93 tff(317,plain,
% 2.66/1.93 ($false),
% 2.66/1.93 inference(unit_resolution,[status(thm)],[192, 316])).
% 2.66/1.93 tff(318,plain,(inverse(sk_c7) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 2.66/1.93 tff(319,plain,
% 2.66/1.93 (~(inverse(sk_c1) = sk_c8)),
% 2.66/1.93 inference(unit_resolution,[status(thm)],[276, 270, 318, 191, 182, 16, 22, 171, 161])).
% 2.66/1.93 tff(320,plain,
% 2.66/1.93 (~(inverse(sk_c2) = sk_c7)),
% 2.66/1.93 inference(modus_ponens,[status(thm)],[319, 185])).
% 2.66/1.93 tff(321,plain,
% 2.66/1.93 ($false),
% 2.66/1.93 inference(unit_resolution,[status(thm)],[320, 177])).
% 2.66/1.93 tff(322,plain,(inverse(sk_c5) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 2.66/1.93 tff(323,plain,
% 2.66/1.93 (sk_c8 = inverse(sk_c5)),
% 2.66/1.93 inference(symmetry,[status(thm)],[322])).
% 2.66/1.93 tff(324,plain,
% 2.66/1.93 (multiply(sk_c8, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 2.66/1.93 inference(monotonicity,[status(thm)],[323])).
% 2.66/1.93 tff(325,plain,
% 2.66/1.93 (multiply(inverse(sk_c5), sk_c5) = multiply(sk_c8, sk_c5)),
% 2.66/1.93 inference(symmetry,[status(thm)],[324])).
% 2.66/1.93 tff(326,plain,
% 2.66/1.93 (identity = multiply(sk_c8, sk_c5)),
% 2.66/1.93 inference(transitivity,[status(thm)],[100, 325])).
% 2.66/1.93 tff(327,plain,
% 2.66/1.93 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 2.66/1.93 inference(monotonicity,[status(thm)],[326])).
% 2.66/1.93 tff(328,plain,
% 2.66/1.93 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(identity, sk_c8)),
% 2.66/1.93 inference(symmetry,[status(thm)],[327])).
% 2.66/1.93 tff(329,plain,
% 2.66/1.93 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(sk_c8, sk_c6)),
% 2.66/1.93 inference(monotonicity,[status(thm)],[280])).
% 2.66/1.93 tff(330,plain,
% 2.66/1.93 (multiply(sk_c8, sk_c6) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 2.66/1.93 inference(symmetry,[status(thm)],[329])).
% 2.66/1.93 tff(331,assumption,(~(inverse(sk_c4) = sk_c8)), introduced(assumption)).
% 2.66/1.93 tff(332,plain,
% 2.66/1.93 (((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c8))),
% 2.66/1.93 inference(rewrite,[status(thm)],[])).
% 2.66/1.93 tff(333,axiom,((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_16')).
% 2.66/1.93 tff(334,plain,
% 2.66/1.93 ((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 2.66/1.93 inference(modus_ponens,[status(thm)],[333, 332])).
% 2.66/1.93 tff(335,plain,
% 2.66/1.93 (inverse(sk_c1) = sk_c7),
% 2.66/1.93 inference(unit_resolution,[status(thm)],[334, 331])).
% 2.66/1.93 tff(336,plain,
% 2.66/1.93 (inverse(sk_c1) = sk_c8),
% 2.66/1.93 inference(transitivity,[status(thm)],[335, 313, 330, 71, 328, 9])).
% 2.66/1.93 tff(337,plain,
% 2.66/1.93 (sk_c7 = inverse(sk_c8)),
% 2.66/1.93 inference(symmetry,[status(thm)],[270])).
% 2.66/1.93 tff(338,plain,
% 2.66/1.93 (multiply(sk_c7, sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 2.66/1.93 inference(monotonicity,[status(thm)],[337])).
% 2.66/1.93 tff(339,plain,
% 2.66/1.93 (multiply(sk_c7, sk_c8) = identity),
% 2.66/1.93 inference(transitivity,[status(thm)],[338, 135])).
% 2.66/1.93 tff(340,plain,
% 2.66/1.93 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c7), sk_c7) = identity)),
% 2.66/1.93 inference(quant_inst,[status(thm)],[])).
% 2.66/1.93 tff(341,plain,
% 2.66/1.93 (multiply(inverse(sk_c7), sk_c7) = identity),
% 2.66/1.93 inference(unit_resolution,[status(thm)],[340, 41])).
% 2.66/1.93 tff(342,plain,
% 2.66/1.93 (sk_c8 = inverse(sk_c7)),
% 2.66/1.93 inference(symmetry,[status(thm)],[318])).
% 2.66/1.93 tff(343,plain,
% 2.66/1.93 (multiply(sk_c8, sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 2.66/1.93 inference(monotonicity,[status(thm)],[342])).
% 2.66/1.93 tff(344,plain,
% 2.66/1.93 (multiply(sk_c8, sk_c7) = multiply(sk_c8, sk_c5)),
% 2.66/1.93 inference(transitivity,[status(thm)],[343, 341, 100, 325])).
% 2.66/1.93 tff(345,plain,
% 2.66/1.93 (multiply(multiply(sk_c8, sk_c7), sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 2.66/1.93 inference(monotonicity,[status(thm)],[344])).
% 2.66/1.93 tff(346,plain,
% 2.66/1.93 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c7), sk_c8) = multiply(sk_c8, multiply(sk_c7, sk_c8)))),
% 2.66/1.93 inference(quant_inst,[status(thm)],[])).
% 2.66/1.93 tff(347,plain,
% 2.66/1.93 (multiply(multiply(sk_c8, sk_c7), sk_c8) = multiply(sk_c8, multiply(sk_c7, sk_c8))),
% 2.66/1.93 inference(unit_resolution,[status(thm)],[346, 32])).
% 2.66/1.93 tff(348,plain,
% 2.66/1.93 (multiply(sk_c8, multiply(sk_c7, sk_c8)) = multiply(multiply(sk_c8, sk_c7), sk_c8)),
% 2.66/1.93 inference(symmetry,[status(thm)],[347])).
% 2.66/1.93 tff(349,plain,
% 2.66/1.93 (multiply(inverse(sk_c8), sk_c8) = multiply(sk_c7, sk_c8)),
% 2.66/1.93 inference(symmetry,[status(thm)],[338])).
% 2.66/1.93 tff(350,plain,
% 2.66/1.93 (identity = multiply(inverse(sk_c8), sk_c8)),
% 2.66/1.93 inference(symmetry,[status(thm)],[135])).
% 2.66/1.93 tff(351,plain,
% 2.66/1.93 (multiply(sk_c8, sk_c5) = multiply(sk_c7, sk_c8)),
% 2.66/1.93 inference(transitivity,[status(thm)],[324, 59, 350, 349])).
% 2.66/1.93 tff(352,plain,
% 2.66/1.93 (multiply(sk_c8, multiply(sk_c8, sk_c5)) = multiply(sk_c8, multiply(sk_c7, sk_c8))),
% 2.66/1.93 inference(monotonicity,[status(thm)],[351])).
% 2.66/1.93 tff(353,plain,
% 2.66/1.93 (multiply(sk_c8, identity) = multiply(sk_c8, multiply(sk_c8, sk_c5))),
% 2.66/1.93 inference(monotonicity,[status(thm)],[326])).
% 2.66/1.93 tff(354,plain,
% 2.66/1.93 (multiply(sk_c8, identity) = sk_c7),
% 2.66/1.93 inference(transitivity,[status(thm)],[353, 352, 348, 345, 57, 329, 312])).
% 2.66/1.93 tff(355,plain,
% 2.66/1.93 (((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8))),
% 2.66/1.93 inference(rewrite,[status(thm)],[])).
% 2.66/1.93 tff(356,plain,
% 2.66/1.93 (((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8))),
% 2.66/1.93 inference(rewrite,[status(thm)],[])).
% 2.66/1.93 tff(357,axiom,((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_11')).
% 2.66/1.93 tff(358,plain,
% 2.66/1.93 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8)),
% 2.66/1.93 inference(modus_ponens,[status(thm)],[357, 356])).
% 2.66/1.93 tff(359,plain,
% 2.66/1.93 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8)),
% 2.66/1.93 inference(modus_ponens,[status(thm)],[358, 355])).
% 2.66/1.93 tff(360,plain,
% 2.66/1.93 (multiply(sk_c1, sk_c7) = sk_c8),
% 2.66/1.93 inference(unit_resolution,[status(thm)],[359, 331])).
% 2.66/1.93 tff(361,plain,
% 2.66/1.93 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c8, identity) = sk_c7)) | (~(multiply(sk_c7, sk_c8) = identity)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c8, identity) = sk_c7)) | (~(multiply(sk_c7, sk_c8) = identity)))),
% 2.66/1.93 inference(rewrite,[status(thm)],[])).
% 2.66/1.93 tff(362,plain,
% 2.66/1.93 (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = identity)) | (~(multiply(sk_c8, identity) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = identity)) | (~(multiply(sk_c8, identity) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c8, identity) = sk_c7)) | (~(multiply(sk_c7, sk_c8) = identity)))),
% 2.66/1.93 inference(rewrite,[status(thm)],[])).
% 2.66/1.93 tff(363,plain,
% 2.66/1.93 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = identity)) | (~(multiply(sk_c8, identity) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = identity)) | (~(multiply(sk_c8, identity) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c8, identity) = sk_c7)) | (~(multiply(sk_c7, sk_c8) = identity))))),
% 2.66/1.93 inference(monotonicity,[status(thm)],[362])).
% 2.66/1.93 tff(364,plain,
% 2.66/1.93 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = identity)) | (~(multiply(sk_c8, identity) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = identity)) | (~(multiply(sk_c8, identity) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c8, identity) = sk_c7)) | (~(multiply(sk_c7, sk_c8) = identity)))),
% 2.66/1.94 inference(transitivity,[status(thm)],[363, 361])).
% 2.66/1.94 tff(365,plain,
% 2.66/1.94 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = identity)) | (~(multiply(sk_c8, identity) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = identity)) | (~(multiply(sk_c8, identity) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)))),
% 2.66/1.94 inference(quant_inst,[status(thm)],[])).
% 2.66/1.94 tff(366,plain,
% 2.66/1.94 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c8, identity) = sk_c7)) | (~(multiply(sk_c7, sk_c8) = identity))),
% 2.66/1.94 inference(modus_ponens,[status(thm)],[365, 364])).
% 2.66/1.94 tff(367,plain,
% 2.66/1.94 ($false),
% 2.66/1.94 inference(unit_resolution,[status(thm)],[366, 270, 318, 360, 335, 161, 354, 339, 336])).
% 2.66/1.94 tff(368,plain,(inverse(sk_c4) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 2.66/1.94 tff(369,plain,
% 2.66/1.94 (inverse(sk_c4) = sk_c7),
% 2.66/1.94 inference(transitivity,[status(thm)],[368, 69, 327, 57, 329, 312])).
% 2.66/1.94 tff(370,plain,
% 2.66/1.94 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c8, identity) = sk_c7)) | (~(multiply(sk_c7, sk_c8) = identity)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c8, identity) = sk_c7)) | (~(multiply(sk_c7, sk_c8) = identity)))),
% 2.66/1.94 inference(rewrite,[status(thm)],[])).
% 2.66/1.94 tff(371,plain,
% 2.66/1.94 (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = identity)) | (~(multiply(sk_c8, identity) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = identity)) | (~(multiply(sk_c8, identity) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c8, identity) = sk_c7)) | (~(multiply(sk_c7, sk_c8) = identity)))),
% 2.66/1.94 inference(rewrite,[status(thm)],[])).
% 2.66/1.94 tff(372,plain,
% 2.66/1.94 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = identity)) | (~(multiply(sk_c8, identity) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = identity)) | (~(multiply(sk_c8, identity) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c8, identity) = sk_c7)) | (~(multiply(sk_c7, sk_c8) = identity))))),
% 2.66/1.94 inference(monotonicity,[status(thm)],[371])).
% 2.66/1.94 tff(373,plain,
% 2.66/1.94 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = identity)) | (~(multiply(sk_c8, identity) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = identity)) | (~(multiply(sk_c8, identity) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c8, identity) = sk_c7)) | (~(multiply(sk_c7, sk_c8) = identity)))),
% 2.66/1.95 inference(transitivity,[status(thm)],[372, 370])).
% 2.66/1.95 tff(374,plain,
% 2.66/1.95 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = identity)) | (~(multiply(sk_c8, identity) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = identity)) | (~(multiply(sk_c8, identity) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)))),
% 2.66/1.95 inference(quant_inst,[status(thm)],[])).
% 2.66/1.95 tff(375,plain,
% 2.66/1.95 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c8, identity) = sk_c7)) | (~(multiply(sk_c7, sk_c8) = identity))),
% 2.66/1.95 inference(modus_ponens,[status(thm)],[374, 373])).
% 2.66/1.95 tff(376,plain,
% 2.66/1.95 (~(multiply(sk_c4, sk_c7) = sk_c8)),
% 2.66/1.95 inference(unit_resolution,[status(thm)],[375, 270, 368, 318, 161, 354, 339, 369])).
% 2.66/1.95 tff(377,plain,
% 2.66/1.95 (((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 2.66/1.95 inference(rewrite,[status(thm)],[])).
% 2.66/1.95 tff(378,axiom,((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_17')).
% 2.66/1.95 tff(379,plain,
% 2.66/1.95 ((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 2.66/1.95 inference(modus_ponens,[status(thm)],[378, 377])).
% 2.66/1.95 tff(380,plain,
% 2.66/1.95 (inverse(sk_c1) = sk_c7),
% 2.66/1.95 inference(unit_resolution,[status(thm)],[379, 376])).
% 2.66/1.95 tff(381,plain,
% 2.66/1.95 (inverse(sk_c1) = sk_c8),
% 2.66/1.95 inference(transitivity,[status(thm)],[380, 313, 330, 71, 328, 9])).
% 2.66/1.95 tff(382,plain,
% 2.66/1.95 (((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 2.66/1.95 inference(rewrite,[status(thm)],[])).
% 2.66/1.95 tff(383,axiom,((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_12')).
% 2.66/1.95 tff(384,plain,
% 2.66/1.95 ((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 2.66/1.95 inference(modus_ponens,[status(thm)],[383, 382])).
% 2.66/1.95 tff(385,plain,
% 2.66/1.95 (multiply(sk_c1, sk_c7) = sk_c8),
% 2.66/1.95 inference(unit_resolution,[status(thm)],[384, 376])).
% 2.66/1.95 tff(386,plain,
% 2.66/1.95 ($false),
% 2.66/1.95 inference(unit_resolution,[status(thm)],[366, 270, 318, 385, 380, 161, 354, 339, 381])).
% 2.66/1.95 % SZS output end Proof
%------------------------------------------------------------------------------