TSTP Solution File: GRP233-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : GRP233-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n019.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 22:26:51 EDT 2022
% Result : Unsatisfiable 3.47s 2.44s
% Output : Proof 3.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP233-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 31 15:57:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 3.47/2.44 % SZS status Unsatisfiable
% 3.47/2.44 % SZS output start Proof
% 3.47/2.44 tff(sk_c8_type, type, (
% 3.47/2.44 sk_c8: $i)).
% 3.47/2.44 tff(multiply_type, type, (
% 3.47/2.44 multiply: ( $i * $i ) > $i)).
% 3.47/2.44 tff(sk_c7_type, type, (
% 3.47/2.44 sk_c7: $i)).
% 3.47/2.44 tff(sk_c1_type, type, (
% 3.47/2.44 sk_c1: $i)).
% 3.47/2.44 tff(identity_type, type, (
% 3.47/2.44 identity: $i)).
% 3.47/2.44 tff(sk_c5_type, type, (
% 3.47/2.44 sk_c5: $i)).
% 3.47/2.44 tff(inverse_type, type, (
% 3.47/2.44 inverse: $i > $i)).
% 3.47/2.44 tff(sk_c2_type, type, (
% 3.47/2.44 sk_c2: $i)).
% 3.47/2.44 tff(sk_c3_type, type, (
% 3.47/2.44 sk_c3: $i)).
% 3.47/2.44 tff(sk_c6_type, type, (
% 3.47/2.44 sk_c6: $i)).
% 3.47/2.44 tff(sk_c4_type, type, (
% 3.47/2.44 sk_c4: $i)).
% 3.47/2.44 tff(1,plain,
% 3.47/2.44 (^[X: $i] : refl((multiply(identity, X) = X) <=> (multiply(identity, X) = X))),
% 3.47/2.44 inference(bind,[status(th)],[])).
% 3.47/2.44 tff(2,plain,
% 3.47/2.44 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 3.47/2.44 inference(quant_intro,[status(thm)],[1])).
% 3.47/2.44 tff(3,plain,
% 3.47/2.44 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 3.47/2.44 inference(rewrite,[status(thm)],[])).
% 3.47/2.44 tff(4,axiom,(![X: $i] : (multiply(identity, X) = X)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','left_identity')).
% 3.47/2.44 tff(5,plain,
% 3.47/2.44 (![X: $i] : (multiply(identity, X) = X)),
% 3.47/2.44 inference(modus_ponens,[status(thm)],[4, 3])).
% 3.47/2.44 tff(6,plain,(
% 3.47/2.44 ![X: $i] : (multiply(identity, X) = X)),
% 3.47/2.44 inference(skolemize,[status(sab)],[5])).
% 3.47/2.44 tff(7,plain,
% 3.47/2.44 (![X: $i] : (multiply(identity, X) = X)),
% 3.47/2.44 inference(modus_ponens,[status(thm)],[6, 2])).
% 3.47/2.44 tff(8,plain,
% 3.47/2.44 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c8) = sk_c8)),
% 3.47/2.44 inference(quant_inst,[status(thm)],[])).
% 3.47/2.44 tff(9,plain,
% 3.47/2.44 (multiply(identity, sk_c8) = sk_c8),
% 3.47/2.44 inference(unit_resolution,[status(thm)],[8, 7])).
% 3.47/2.44 tff(10,assumption,(~(inverse(sk_c5) = sk_c8)), introduced(assumption)).
% 3.47/2.44 tff(11,plain,
% 3.47/2.44 (((inverse(sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8))),
% 3.47/2.44 inference(rewrite,[status(thm)],[])).
% 3.47/2.44 tff(12,axiom,((inverse(sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_30')).
% 3.47/2.44 tff(13,plain,
% 3.47/2.44 ((inverse(sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8)),
% 3.47/2.44 inference(modus_ponens,[status(thm)],[12, 11])).
% 3.47/2.44 tff(14,plain,
% 3.47/2.44 (inverse(sk_c2) = sk_c8),
% 3.47/2.44 inference(unit_resolution,[status(thm)],[13, 10])).
% 3.47/2.44 tff(15,plain,
% 3.47/2.44 (sk_c8 = inverse(sk_c2)),
% 3.47/2.44 inference(symmetry,[status(thm)],[14])).
% 3.47/2.44 tff(16,plain,
% 3.47/2.44 (multiply(sk_c8, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 3.47/2.44 inference(monotonicity,[status(thm)],[15])).
% 3.47/2.44 tff(17,plain,
% 3.47/2.44 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c8, sk_c2)),
% 3.47/2.44 inference(symmetry,[status(thm)],[16])).
% 3.47/2.44 tff(18,plain,
% 3.47/2.44 (^[X: $i] : refl((multiply(inverse(X), X) = identity) <=> (multiply(inverse(X), X) = identity))),
% 3.47/2.44 inference(bind,[status(th)],[])).
% 3.47/2.44 tff(19,plain,
% 3.47/2.44 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 3.47/2.44 inference(quant_intro,[status(thm)],[18])).
% 3.47/2.44 tff(20,plain,
% 3.47/2.44 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 3.47/2.44 inference(rewrite,[status(thm)],[])).
% 3.47/2.44 tff(21,axiom,(![X: $i] : (multiply(inverse(X), X) = identity)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','left_inverse')).
% 3.47/2.44 tff(22,plain,
% 3.47/2.44 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 3.47/2.44 inference(modus_ponens,[status(thm)],[21, 20])).
% 3.47/2.44 tff(23,plain,(
% 3.47/2.44 ![X: $i] : (multiply(inverse(X), X) = identity)),
% 3.47/2.44 inference(skolemize,[status(sab)],[22])).
% 3.47/2.44 tff(24,plain,
% 3.47/2.44 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 3.47/2.44 inference(modus_ponens,[status(thm)],[23, 19])).
% 3.47/2.44 tff(25,plain,
% 3.47/2.44 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c2), sk_c2) = identity)),
% 3.47/2.44 inference(quant_inst,[status(thm)],[])).
% 3.47/2.44 tff(26,plain,
% 3.47/2.44 (multiply(inverse(sk_c2), sk_c2) = identity),
% 3.47/2.44 inference(unit_resolution,[status(thm)],[25, 24])).
% 3.47/2.44 tff(27,plain,
% 3.47/2.44 (identity = multiply(inverse(sk_c2), sk_c2)),
% 3.47/2.44 inference(symmetry,[status(thm)],[26])).
% 3.47/2.44 tff(28,plain,
% 3.47/2.44 (identity = multiply(sk_c8, sk_c2)),
% 3.47/2.44 inference(transitivity,[status(thm)],[27, 17])).
% 3.47/2.44 tff(29,plain,
% 3.47/2.44 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c2), sk_c8)),
% 3.47/2.44 inference(monotonicity,[status(thm)],[28])).
% 3.47/2.44 tff(30,plain,
% 3.47/2.44 (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(identity, sk_c8)),
% 3.47/2.44 inference(symmetry,[status(thm)],[29])).
% 3.47/2.44 tff(31,plain,
% 3.47/2.44 (^[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))))),
% 3.47/2.44 inference(bind,[status(th)],[])).
% 3.47/2.44 tff(32,plain,
% 3.47/2.44 (![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)))),
% 3.47/2.44 inference(quant_intro,[status(thm)],[31])).
% 3.47/2.44 tff(33,plain,
% 3.47/2.44 (![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)))),
% 3.47/2.44 inference(rewrite,[status(thm)],[])).
% 3.47/2.44 tff(34,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')).
% 3.47/2.44 tff(35,plain,
% 3.47/2.44 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 3.47/2.44 inference(modus_ponens,[status(thm)],[34, 33])).
% 3.47/2.44 tff(36,plain,(
% 3.47/2.44 ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 3.47/2.44 inference(skolemize,[status(sab)],[35])).
% 3.47/2.44 tff(37,plain,
% 3.47/2.44 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 3.47/2.44 inference(modus_ponens,[status(thm)],[36, 32])).
% 3.47/2.44 tff(38,plain,
% 3.47/2.44 ((~![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)))),
% 3.47/2.44 inference(quant_inst,[status(thm)],[])).
% 3.47/2.44 tff(39,plain,
% 3.47/2.44 (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(sk_c8, multiply(sk_c2, sk_c8))),
% 3.47/2.44 inference(unit_resolution,[status(thm)],[38, 37])).
% 3.47/2.44 tff(40,plain,
% 3.47/2.44 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = multiply(multiply(sk_c8, sk_c2), sk_c8)),
% 3.47/2.44 inference(symmetry,[status(thm)],[39])).
% 3.47/2.44 tff(41,plain,
% 3.47/2.44 (((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c8) = sk_c3)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c8) = sk_c3))),
% 3.47/2.44 inference(rewrite,[status(thm)],[])).
% 3.47/2.44 tff(42,plain,
% 3.47/2.44 (((multiply(sk_c2, sk_c8) = sk_c3) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c8) = sk_c3))),
% 3.47/2.44 inference(rewrite,[status(thm)],[])).
% 3.47/2.44 tff(43,axiom,((multiply(sk_c2, sk_c8) = sk_c3) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_25')).
% 3.47/2.44 tff(44,plain,
% 3.47/2.44 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c8) = sk_c3)),
% 3.47/2.44 inference(modus_ponens,[status(thm)],[43, 42])).
% 3.47/2.44 tff(45,plain,
% 3.47/2.44 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c8) = sk_c3)),
% 3.47/2.44 inference(modus_ponens,[status(thm)],[44, 41])).
% 3.47/2.44 tff(46,plain,
% 3.47/2.44 (multiply(sk_c2, sk_c8) = sk_c3),
% 3.47/2.44 inference(unit_resolution,[status(thm)],[45, 10])).
% 3.47/2.44 tff(47,plain,
% 3.47/2.44 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = multiply(sk_c8, sk_c3)),
% 3.47/2.44 inference(monotonicity,[status(thm)],[46])).
% 3.47/2.44 tff(48,plain,
% 3.47/2.44 (multiply(sk_c8, sk_c3) = multiply(sk_c8, multiply(sk_c2, sk_c8))),
% 3.47/2.44 inference(symmetry,[status(thm)],[47])).
% 3.47/2.44 tff(49,assumption,(~(multiply(sk_c8, sk_c6) = sk_c7)), introduced(assumption)).
% 3.47/2.44 tff(50,plain,
% 3.47/2.44 (((inverse(sk_c2) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)) <=> ((inverse(sk_c2) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7))),
% 3.47/2.44 inference(rewrite,[status(thm)],[])).
% 3.47/2.44 tff(51,axiom,((inverse(sk_c2) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_28')).
% 3.47/2.44 tff(52,plain,
% 3.47/2.44 ((inverse(sk_c2) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)),
% 3.47/2.44 inference(modus_ponens,[status(thm)],[51, 50])).
% 3.47/2.44 tff(53,plain,
% 3.47/2.44 (inverse(sk_c2) = sk_c8),
% 3.47/2.44 inference(unit_resolution,[status(thm)],[52, 49])).
% 3.47/2.44 tff(54,plain,
% 3.47/2.44 (sk_c8 = inverse(sk_c2)),
% 3.47/2.44 inference(symmetry,[status(thm)],[53])).
% 3.47/2.44 tff(55,plain,
% 3.47/2.44 (multiply(sk_c8, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 3.47/2.44 inference(monotonicity,[status(thm)],[54])).
% 3.47/2.44 tff(56,plain,
% 3.47/2.44 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c8, sk_c2)),
% 3.47/2.44 inference(symmetry,[status(thm)],[55])).
% 3.47/2.44 tff(57,plain,
% 3.47/2.44 (identity = multiply(sk_c8, sk_c2)),
% 3.47/2.44 inference(transitivity,[status(thm)],[27, 56])).
% 3.47/2.44 tff(58,plain,
% 3.47/2.44 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c2), sk_c8)),
% 3.47/2.44 inference(monotonicity,[status(thm)],[57])).
% 3.47/2.44 tff(59,plain,
% 3.47/2.44 (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(identity, sk_c8)),
% 3.47/2.44 inference(symmetry,[status(thm)],[58])).
% 3.47/2.44 tff(60,plain,
% 3.47/2.44 (((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))),
% 3.47/2.44 inference(rewrite,[status(thm)],[])).
% 3.47/2.44 tff(61,axiom,((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c8, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_23')).
% 3.47/2.44 tff(62,plain,
% 3.47/2.44 ((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c8, sk_c6) = sk_c7)),
% 3.47/2.44 inference(modus_ponens,[status(thm)],[61, 60])).
% 3.47/2.44 tff(63,plain,
% 3.47/2.44 (multiply(sk_c2, sk_c8) = sk_c3),
% 3.47/2.44 inference(unit_resolution,[status(thm)],[62, 49])).
% 3.47/2.44 tff(64,plain,
% 3.47/2.44 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = multiply(sk_c8, sk_c3)),
% 3.47/2.44 inference(monotonicity,[status(thm)],[63])).
% 3.47/2.44 tff(65,plain,
% 3.47/2.44 (multiply(sk_c8, sk_c3) = multiply(sk_c8, multiply(sk_c2, sk_c8))),
% 3.47/2.44 inference(symmetry,[status(thm)],[64])).
% 3.47/2.44 tff(66,plain,
% 3.47/2.44 (((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))),
% 3.47/2.44 inference(rewrite,[status(thm)],[])).
% 3.47/2.44 tff(67,axiom,((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_18')).
% 3.47/2.44 tff(68,plain,
% 3.47/2.44 ((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7)),
% 3.47/2.44 inference(modus_ponens,[status(thm)],[67, 66])).
% 3.47/2.44 tff(69,plain,
% 3.47/2.44 (multiply(sk_c8, sk_c3) = sk_c7),
% 3.47/2.44 inference(unit_resolution,[status(thm)],[68, 49])).
% 3.47/2.44 tff(70,plain,
% 3.47/2.44 (sk_c7 = multiply(sk_c8, sk_c3)),
% 3.47/2.44 inference(symmetry,[status(thm)],[69])).
% 3.47/2.44 tff(71,plain,
% 3.47/2.44 (((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7)) <=> ((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7))),
% 3.47/2.44 inference(rewrite,[status(thm)],[])).
% 3.47/2.44 tff(72,axiom,((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_8')).
% 3.47/2.44 tff(73,plain,
% 3.47/2.44 ((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7)),
% 3.47/2.44 inference(modus_ponens,[status(thm)],[72, 71])).
% 3.47/2.44 tff(74,plain,
% 3.47/2.44 (multiply(sk_c1, sk_c8) = sk_c7),
% 3.47/2.44 inference(unit_resolution,[status(thm)],[73, 49])).
% 3.47/2.44 tff(75,plain,
% 3.47/2.44 (sk_c7 = sk_c8),
% 3.47/2.44 inference(transitivity,[status(thm)],[70, 65, 40, 59, 9])).
% 3.47/2.44 tff(76,plain,
% 3.47/2.44 (multiply(sk_c1, sk_c7) = multiply(sk_c1, sk_c8)),
% 3.47/2.44 inference(monotonicity,[status(thm)],[75])).
% 3.47/2.44 tff(77,plain,
% 3.47/2.44 (multiply(sk_c1, sk_c7) = sk_c8),
% 3.47/2.44 inference(transitivity,[status(thm)],[76, 74, 70, 65, 40, 59, 9])).
% 3.47/2.44 tff(78,plain,
% 3.47/2.44 (^[X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : refl(((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))))),
% 3.47/2.44 inference(bind,[status(th)],[])).
% 3.47/2.44 tff(79,plain,
% 3.47/2.44 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))),
% 3.47/2.45 inference(quant_intro,[status(thm)],[78])).
% 3.47/2.45 tff(80,plain,
% 3.47/2.45 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))),
% 3.47/2.45 inference(rewrite,[status(thm)],[])).
% 3.47/2.45 tff(81,plain,
% 3.47/2.45 (^[X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))), (((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(multiply(sk_c8, X5) = sk_c7))) <=> (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(multiply(sk_c8, X5) = sk_c7))))), rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(multiply(sk_c8, X5) = sk_c7))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))), (((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(multiply(sk_c8, X5) = sk_c7))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))))), ((((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(multiply(sk_c8, X5) = sk_c7))) | (~(multiply(X6, sk_c8) = X5))) <=> (((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(multiply(X6, sk_c8) = X5))))), rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(multiply(X6, sk_c8) = X5))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))), ((((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(multiply(sk_c8, X5) = sk_c7))) | (~(multiply(X6, sk_c8) = X5))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))))), (((((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(multiply(sk_c8, X5) = sk_c7))) | (~(multiply(X6, sk_c8) = X5))) | (~(inverse(X6) = sk_c8))) <=> (((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X6) = sk_c8))))), rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X6) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))), (((((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(multiply(sk_c8, X5) = sk_c7))) | (~(multiply(X6, sk_c8) = X5))) | (~(inverse(X6) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))))), ((((((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(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(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))))), rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))), ((((((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(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(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))))), (((((((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(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(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(multiply(X1, sk_c7) = sk_c8))))), rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(multiply(X1, sk_c7) = sk_c8))) <=> ((~(inverse(sk_c8) = 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_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))), (((((((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(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)) | (~(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_c8)) | (~(multiply(X4, sk_c8) = sk_c7))))), ((((((((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(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)) | (~(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_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(multiply(sk_c8, X2) = sk_c7))))), rewrite((((~(inverse(sk_c8) = 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_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(multiply(sk_c8, X2) = sk_c7))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))), ((((((((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(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)) | (~(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_c8)) | (~(multiply(X4, sk_c8) = sk_c7))))), (((((((((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(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)) | (~(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_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(multiply(X3, sk_c8) = X2))))), rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(multiply(X3, sk_c8) = X2))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))), (((((((((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(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)) | (~(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_c8)) | (~(multiply(X4, sk_c8) = sk_c7))))), ((((((((((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(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)) | (~(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_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X3) = sk_c8))))), rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X3) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))), ((((((((((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(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(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_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))))),
% 3.47/2.45 inference(bind,[status(th)],[])).
% 3.47/2.45 tff(82,plain,
% 3.47/2.45 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(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(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_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))),
% 3.47/2.45 inference(quant_intro,[status(thm)],[81])).
% 3.47/2.45 tff(83,axiom,(![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(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_31')).
% 3.47/2.45 tff(84,plain,
% 3.47/2.45 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))),
% 3.47/2.45 inference(modus_ponens,[status(thm)],[83, 82])).
% 3.47/2.45 tff(85,plain,
% 3.47/2.45 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))),
% 3.47/2.45 inference(modus_ponens,[status(thm)],[84, 80])).
% 3.47/2.45 tff(86,plain,(
% 3.47/2.45 ![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))),
% 3.47/2.45 inference(skolemize,[status(sab)],[85])).
% 3.47/2.45 tff(87,plain,
% 3.47/2.45 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))),
% 3.47/2.45 inference(modus_ponens,[status(thm)],[86, 79])).
% 3.47/2.45 tff(88,plain,
% 3.47/2.45 (((inverse(sk_c1) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)) <=> ((inverse(sk_c1) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7))),
% 3.47/2.45 inference(rewrite,[status(thm)],[])).
% 3.47/2.45 tff(89,axiom,((inverse(sk_c1) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_13')).
% 3.47/2.45 tff(90,plain,
% 3.47/2.45 ((inverse(sk_c1) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)),
% 3.47/2.45 inference(modus_ponens,[status(thm)],[89, 88])).
% 3.47/2.45 tff(91,plain,
% 3.47/2.45 (inverse(sk_c1) = sk_c8),
% 3.47/2.45 inference(unit_resolution,[status(thm)],[90, 49])).
% 3.47/2.45 tff(92,plain,
% 3.47/2.45 (((inverse(sk_c8) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7)) <=> ((inverse(sk_c8) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7))),
% 3.47/2.45 inference(rewrite,[status(thm)],[])).
% 3.47/2.45 tff(93,axiom,((inverse(sk_c8) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_3')).
% 3.47/2.45 tff(94,plain,
% 3.47/2.45 ((inverse(sk_c8) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7)),
% 3.47/2.45 inference(modus_ponens,[status(thm)],[93, 92])).
% 3.47/2.45 tff(95,plain,
% 3.47/2.45 (inverse(sk_c8) = sk_c7),
% 3.47/2.45 inference(unit_resolution,[status(thm)],[94, 49])).
% 3.47/2.45 tff(96,plain,
% 3.47/2.45 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)))),
% 3.47/2.45 inference(rewrite,[status(thm)],[])).
% 3.47/2.45 tff(97,plain,
% 3.47/2.45 (((~(inverse(sk_c8) = sk_c7)) | (~(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_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)))),
% 3.47/2.45 inference(rewrite,[status(thm)],[])).
% 3.47/2.45 tff(98,plain,
% 3.47/2.45 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(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_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7))))),
% 3.47/2.45 inference(monotonicity,[status(thm)],[97])).
% 3.47/2.45 tff(99,plain,
% 3.47/2.45 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(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_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)))),
% 3.47/2.45 inference(transitivity,[status(thm)],[98, 96])).
% 3.47/2.45 tff(100,plain,
% 3.47/2.45 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(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_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)))),
% 3.47/2.45 inference(quant_inst,[status(thm)],[])).
% 3.47/2.45 tff(101,plain,
% 3.47/2.45 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7))),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[100, 99])).
% 3.47/2.46 tff(102,plain,
% 3.47/2.46 (~(multiply(sk_c1, sk_c7) = sk_c8)),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[101, 95, 74, 91, 69, 63, 53, 87])).
% 3.47/2.46 tff(103,plain,
% 3.47/2.46 ($false),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[102, 77])).
% 3.47/2.46 tff(104,plain,(multiply(sk_c8, sk_c6) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 3.47/2.46 tff(105,assumption,(~(multiply(sk_c8, sk_c3) = sk_c7)), introduced(assumption)).
% 3.47/2.46 tff(106,plain,
% 3.47/2.46 (((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))),
% 3.47/2.46 inference(rewrite,[status(thm)],[])).
% 3.47/2.46 tff(107,plain,
% 3.47/2.46 (((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))),
% 3.47/2.46 inference(rewrite,[status(thm)],[])).
% 3.47/2.46 tff(108,axiom,((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_19')).
% 3.47/2.46 tff(109,plain,
% 3.47/2.46 ((multiply(sk_c5, sk_c8) = sk_c6) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[108, 107])).
% 3.47/2.46 tff(110,plain,
% 3.47/2.46 ((multiply(sk_c5, sk_c8) = sk_c6) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[109, 106])).
% 3.47/2.46 tff(111,plain,
% 3.47/2.46 (multiply(sk_c5, sk_c8) = sk_c6),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[110, 105])).
% 3.47/2.46 tff(112,plain,
% 3.47/2.46 (sk_c6 = multiply(sk_c5, sk_c8)),
% 3.47/2.46 inference(symmetry,[status(thm)],[111])).
% 3.47/2.46 tff(113,plain,
% 3.47/2.46 (multiply(sk_c8, sk_c6) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 3.47/2.46 inference(monotonicity,[status(thm)],[112])).
% 3.47/2.46 tff(114,plain,
% 3.47/2.46 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(sk_c8, sk_c6)),
% 3.47/2.46 inference(symmetry,[status(thm)],[113])).
% 3.47/2.46 tff(115,plain,
% 3.47/2.46 ((~![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)))),
% 3.47/2.46 inference(quant_inst,[status(thm)],[])).
% 3.47/2.46 tff(116,plain,
% 3.47/2.46 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[115, 37])).
% 3.47/2.46 tff(117,plain,
% 3.47/2.46 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c5), sk_c5) = identity)),
% 3.47/2.46 inference(quant_inst,[status(thm)],[])).
% 3.47/2.46 tff(118,plain,
% 3.47/2.46 (multiply(inverse(sk_c5), sk_c5) = identity),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[117, 24])).
% 3.47/2.46 tff(119,plain,
% 3.47/2.46 (((inverse(sk_c5) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 3.47/2.46 inference(rewrite,[status(thm)],[])).
% 3.47/2.46 tff(120,plain,
% 3.47/2.46 (((multiply(sk_c8, sk_c3) = sk_c7) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 3.47/2.46 inference(rewrite,[status(thm)],[])).
% 3.47/2.46 tff(121,axiom,((multiply(sk_c8, sk_c3) = sk_c7) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_20')).
% 3.47/2.46 tff(122,plain,
% 3.47/2.46 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[121, 120])).
% 3.47/2.46 tff(123,plain,
% 3.47/2.46 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[122, 119])).
% 3.47/2.46 tff(124,plain,
% 3.47/2.46 (inverse(sk_c5) = sk_c8),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[123, 105])).
% 3.47/2.46 tff(125,plain,
% 3.47/2.46 (sk_c8 = inverse(sk_c5)),
% 3.47/2.46 inference(symmetry,[status(thm)],[124])).
% 3.47/2.46 tff(126,plain,
% 3.47/2.46 (multiply(sk_c8, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 3.47/2.46 inference(monotonicity,[status(thm)],[125])).
% 3.47/2.46 tff(127,plain,
% 3.47/2.46 (multiply(sk_c8, sk_c5) = identity),
% 3.47/2.46 inference(transitivity,[status(thm)],[126, 118])).
% 3.47/2.46 tff(128,plain,
% 3.47/2.46 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(identity, sk_c8)),
% 3.47/2.46 inference(monotonicity,[status(thm)],[127])).
% 3.47/2.46 tff(129,plain,
% 3.47/2.46 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 3.47/2.46 inference(symmetry,[status(thm)],[128])).
% 3.47/2.46 tff(130,plain,
% 3.47/2.46 (sk_c8 = multiply(identity, sk_c8)),
% 3.47/2.46 inference(symmetry,[status(thm)],[9])).
% 3.47/2.46 tff(131,plain,
% 3.47/2.46 (((inverse(sk_c4) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 3.47/2.46 inference(rewrite,[status(thm)],[])).
% 3.47/2.46 tff(132,plain,
% 3.47/2.46 (((multiply(sk_c8, sk_c3) = sk_c7) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 3.47/2.46 inference(rewrite,[status(thm)],[])).
% 3.47/2.46 tff(133,axiom,((multiply(sk_c8, sk_c3) = sk_c7) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_16')).
% 3.47/2.46 tff(134,plain,
% 3.47/2.46 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[133, 132])).
% 3.47/2.46 tff(135,plain,
% 3.47/2.46 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[134, 131])).
% 3.47/2.46 tff(136,plain,
% 3.47/2.46 (inverse(sk_c4) = sk_c8),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[135, 105])).
% 3.47/2.46 tff(137,plain,
% 3.47/2.46 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c4) = sk_c4)),
% 3.47/2.46 inference(quant_inst,[status(thm)],[])).
% 3.47/2.46 tff(138,plain,
% 3.47/2.46 (multiply(identity, sk_c4) = sk_c4),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[137, 7])).
% 3.47/2.46 tff(139,plain,
% 3.47/2.46 (multiply(inverse(sk_c5), sk_c5) = multiply(sk_c8, sk_c5)),
% 3.47/2.46 inference(symmetry,[status(thm)],[126])).
% 3.47/2.46 tff(140,plain,
% 3.47/2.46 (identity = multiply(inverse(sk_c5), sk_c5)),
% 3.47/2.46 inference(symmetry,[status(thm)],[118])).
% 3.47/2.46 tff(141,plain,
% 3.47/2.46 (identity = multiply(sk_c8, sk_c5)),
% 3.47/2.46 inference(transitivity,[status(thm)],[140, 139])).
% 3.47/2.46 tff(142,plain,
% 3.47/2.46 (multiply(identity, sk_c4) = multiply(multiply(sk_c8, sk_c5), sk_c4)),
% 3.47/2.46 inference(monotonicity,[status(thm)],[141])).
% 3.47/2.46 tff(143,plain,
% 3.47/2.46 (multiply(multiply(sk_c8, sk_c5), sk_c4) = multiply(identity, sk_c4)),
% 3.47/2.46 inference(symmetry,[status(thm)],[142])).
% 3.47/2.46 tff(144,plain,
% 3.47/2.46 ((~![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)))),
% 3.47/2.46 inference(quant_inst,[status(thm)],[])).
% 3.47/2.46 tff(145,plain,
% 3.47/2.46 (multiply(multiply(sk_c8, sk_c5), sk_c4) = multiply(sk_c8, multiply(sk_c5, sk_c4))),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[144, 37])).
% 3.47/2.46 tff(146,plain,
% 3.47/2.46 (multiply(sk_c8, multiply(sk_c5, sk_c4)) = multiply(multiply(sk_c8, sk_c5), sk_c4)),
% 3.47/2.46 inference(symmetry,[status(thm)],[145])).
% 3.47/2.46 tff(147,plain,
% 3.47/2.46 (sk_c8 = sk_c7),
% 3.47/2.46 inference(transitivity,[status(thm)],[130, 129, 116, 114, 104])).
% 3.47/2.46 tff(148,plain,
% 3.47/2.46 (multiply(sk_c4, sk_c8) = multiply(sk_c4, sk_c7)),
% 3.47/2.46 inference(monotonicity,[status(thm)],[147])).
% 3.47/2.46 tff(149,plain,
% 3.47/2.46 (multiply(sk_c4, sk_c7) = multiply(sk_c4, sk_c8)),
% 3.47/2.46 inference(symmetry,[status(thm)],[148])).
% 3.47/2.46 tff(150,plain,
% 3.47/2.46 (((multiply(sk_c4, sk_c7) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)) <=> ((multiply(sk_c4, sk_c7) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 3.47/2.46 inference(rewrite,[status(thm)],[])).
% 3.47/2.46 tff(151,plain,
% 3.47/2.46 (((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((multiply(sk_c4, sk_c7) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 3.47/2.46 inference(rewrite,[status(thm)],[])).
% 3.47/2.46 tff(152,axiom,((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_17')).
% 3.47/2.46 tff(153,plain,
% 3.47/2.46 ((multiply(sk_c4, sk_c7) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[152, 151])).
% 3.47/2.46 tff(154,plain,
% 3.47/2.46 ((multiply(sk_c4, sk_c7) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[153, 150])).
% 3.47/2.46 tff(155,plain,
% 3.47/2.46 (multiply(sk_c4, sk_c7) = sk_c8),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[154, 105])).
% 3.47/2.46 tff(156,plain,
% 3.47/2.46 (sk_c8 = multiply(sk_c4, sk_c7)),
% 3.47/2.46 inference(symmetry,[status(thm)],[155])).
% 3.47/2.46 tff(157,plain,
% 3.47/2.46 (sk_c8 = multiply(sk_c4, sk_c8)),
% 3.47/2.46 inference(transitivity,[status(thm)],[156, 149])).
% 3.47/2.46 tff(158,plain,
% 3.47/2.46 (multiply(sk_c8, sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 3.47/2.46 inference(monotonicity,[status(thm)],[157])).
% 3.47/2.46 tff(159,plain,
% 3.47/2.46 (multiply(sk_c8, multiply(sk_c4, sk_c8)) = multiply(sk_c8, sk_c8)),
% 3.47/2.46 inference(symmetry,[status(thm)],[158])).
% 3.47/2.46 tff(160,plain,
% 3.47/2.46 ((~![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)))),
% 3.47/2.46 inference(quant_inst,[status(thm)],[])).
% 3.47/2.46 tff(161,plain,
% 3.47/2.46 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[160, 37])).
% 3.47/2.46 tff(162,plain,
% 3.47/2.46 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c4), sk_c4) = identity)),
% 3.47/2.46 inference(quant_inst,[status(thm)],[])).
% 3.47/2.46 tff(163,plain,
% 3.47/2.46 (multiply(inverse(sk_c4), sk_c4) = identity),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[162, 24])).
% 3.47/2.46 tff(164,plain,
% 3.47/2.46 (sk_c8 = inverse(sk_c4)),
% 3.47/2.46 inference(symmetry,[status(thm)],[136])).
% 3.47/2.46 tff(165,plain,
% 3.47/2.46 (multiply(sk_c8, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 3.47/2.46 inference(monotonicity,[status(thm)],[164])).
% 3.47/2.46 tff(166,plain,
% 3.47/2.46 (multiply(sk_c8, sk_c4) = multiply(sk_c8, sk_c5)),
% 3.47/2.46 inference(transitivity,[status(thm)],[165, 163, 140, 139])).
% 3.47/2.46 tff(167,plain,
% 3.47/2.46 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 3.47/2.46 inference(monotonicity,[status(thm)],[166])).
% 3.47/2.46 tff(168,plain,
% 3.47/2.46 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(multiply(sk_c8, sk_c4), sk_c8)),
% 3.47/2.46 inference(symmetry,[status(thm)],[167])).
% 3.47/2.46 tff(169,plain,
% 3.47/2.46 (sk_c8 = multiply(sk_c8, sk_c8)),
% 3.47/2.46 inference(transitivity,[status(thm)],[130, 129, 168, 161, 159])).
% 3.47/2.46 tff(170,plain,
% 3.47/2.46 (multiply(sk_c8, multiply(sk_c5, sk_c4)) = multiply(multiply(sk_c8, sk_c8), multiply(sk_c5, sk_c4))),
% 3.47/2.46 inference(monotonicity,[status(thm)],[169])).
% 3.47/2.46 tff(171,plain,
% 3.47/2.46 (multiply(multiply(sk_c8, sk_c8), multiply(sk_c5, sk_c4)) = multiply(sk_c8, multiply(sk_c5, sk_c4))),
% 3.47/2.46 inference(symmetry,[status(thm)],[170])).
% 3.47/2.46 tff(172,plain,
% 3.47/2.46 ((~![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))))),
% 3.47/2.46 inference(quant_inst,[status(thm)],[])).
% 3.47/2.46 tff(173,plain,
% 3.47/2.46 (multiply(multiply(sk_c8, sk_c8), multiply(sk_c5, sk_c4)) = multiply(sk_c8, multiply(sk_c8, multiply(sk_c5, sk_c4)))),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[172, 37])).
% 3.47/2.46 tff(174,plain,
% 3.47/2.46 (multiply(sk_c8, multiply(sk_c8, multiply(sk_c5, sk_c4))) = multiply(multiply(sk_c8, sk_c8), multiply(sk_c5, sk_c4))),
% 3.47/2.46 inference(symmetry,[status(thm)],[173])).
% 3.47/2.46 tff(175,plain,
% 3.47/2.46 (multiply(sk_c8, multiply(sk_c5, sk_c4)) = sk_c4),
% 3.47/2.46 inference(transitivity,[status(thm)],[146, 143, 138])).
% 3.47/2.46 tff(176,plain,
% 3.47/2.46 (multiply(sk_c8, multiply(sk_c8, multiply(sk_c5, sk_c4))) = multiply(inverse(sk_c4), sk_c4)),
% 3.47/2.46 inference(monotonicity,[status(thm)],[164, 175])).
% 3.47/2.46 tff(177,plain,
% 3.47/2.46 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c8, multiply(sk_c8, multiply(sk_c5, sk_c4)))),
% 3.47/2.46 inference(symmetry,[status(thm)],[176])).
% 3.47/2.46 tff(178,plain,
% 3.47/2.46 (identity = multiply(inverse(sk_c4), sk_c4)),
% 3.47/2.46 inference(symmetry,[status(thm)],[163])).
% 3.47/2.46 tff(179,plain,
% 3.47/2.46 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c8), sk_c8) = identity)),
% 3.47/2.46 inference(quant_inst,[status(thm)],[])).
% 3.47/2.46 tff(180,plain,
% 3.47/2.46 (multiply(inverse(sk_c8), sk_c8) = identity),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[179, 24])).
% 3.47/2.46 tff(181,plain,
% 3.47/2.46 (multiply(inverse(sk_c8), sk_c8) = multiply(inverse(sk_c8), multiply(sk_c8, sk_c8))),
% 3.47/2.46 inference(monotonicity,[status(thm)],[169])).
% 3.47/2.46 tff(182,plain,
% 3.47/2.46 (multiply(inverse(sk_c8), multiply(sk_c8, sk_c8)) = multiply(inverse(sk_c8), sk_c8)),
% 3.47/2.46 inference(symmetry,[status(thm)],[181])).
% 3.47/2.46 tff(183,plain,
% 3.47/2.46 ((~![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)))),
% 3.47/2.46 inference(quant_inst,[status(thm)],[])).
% 3.47/2.46 tff(184,plain,
% 3.47/2.46 (multiply(multiply(inverse(sk_c8), sk_c8), sk_c8) = multiply(inverse(sk_c8), multiply(sk_c8, sk_c8))),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[183, 37])).
% 3.47/2.46 tff(185,plain,
% 3.47/2.46 (multiply(inverse(sk_c8), sk_c8) = multiply(sk_c8, sk_c5)),
% 3.47/2.46 inference(transitivity,[status(thm)],[180, 140, 139])).
% 3.47/2.46 tff(186,plain,
% 3.47/2.46 (multiply(multiply(inverse(sk_c8), sk_c8), sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 3.47/2.46 inference(monotonicity,[status(thm)],[185])).
% 3.47/2.46 tff(187,plain,
% 3.47/2.46 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(multiply(inverse(sk_c8), sk_c8), sk_c8)),
% 3.47/2.46 inference(symmetry,[status(thm)],[186])).
% 3.47/2.46 tff(188,plain,
% 3.47/2.46 (sk_c8 = sk_c4),
% 3.47/2.46 inference(transitivity,[status(thm)],[130, 129, 187, 184, 182, 180, 178, 177, 174, 171, 146, 143, 138])).
% 3.47/2.46 tff(189,plain,
% 3.47/2.46 (inverse(sk_c8) = inverse(sk_c4)),
% 3.47/2.46 inference(monotonicity,[status(thm)],[188])).
% 3.47/2.46 tff(190,plain,
% 3.47/2.46 (inverse(sk_c8) = sk_c7),
% 3.47/2.46 inference(transitivity,[status(thm)],[189, 136, 130, 129, 116, 114, 104])).
% 3.47/2.46 tff(191,plain,
% 3.47/2.46 (multiply(sk_c4, sk_c8) = sk_c7),
% 3.47/2.46 inference(transitivity,[status(thm)],[148, 155, 130, 129, 116, 114, 104])).
% 3.47/2.46 tff(192,plain,
% 3.47/2.46 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c6) = sk_c7)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c6) = sk_c7)))),
% 3.47/2.46 inference(rewrite,[status(thm)],[])).
% 3.47/2.46 tff(193,plain,
% 3.47/2.46 (((~(inverse(sk_c8) = sk_c7)) | (~(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_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c6) = sk_c7)))),
% 3.47/2.46 inference(rewrite,[status(thm)],[])).
% 3.47/2.46 tff(194,plain,
% 3.47/2.46 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(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_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c6) = sk_c7))))),
% 3.47/2.46 inference(monotonicity,[status(thm)],[193])).
% 3.47/2.46 tff(195,plain,
% 3.47/2.46 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(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_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c6) = sk_c7)))),
% 3.47/2.46 inference(transitivity,[status(thm)],[194, 192])).
% 3.47/2.46 tff(196,plain,
% 3.47/2.46 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(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_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)))),
% 3.47/2.46 inference(quant_inst,[status(thm)],[])).
% 3.47/2.46 tff(197,plain,
% 3.47/2.46 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c6) = sk_c7))),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[196, 195])).
% 3.47/2.46 tff(198,plain,
% 3.47/2.46 ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c8) = sk_c7))),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[197, 136, 155, 104, 111, 124, 87])).
% 3.47/2.46 tff(199,plain,
% 3.47/2.46 (~(inverse(sk_c8) = sk_c7)),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[198, 191])).
% 3.47/2.46 tff(200,plain,
% 3.47/2.46 ($false),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[199, 190])).
% 3.47/2.46 tff(201,plain,(multiply(sk_c8, sk_c3) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 3.47/2.46 tff(202,plain,
% 3.47/2.46 (sk_c7 = multiply(sk_c8, sk_c3)),
% 3.47/2.46 inference(symmetry,[status(thm)],[201])).
% 3.47/2.46 tff(203,assumption,(~(multiply(sk_c1, sk_c8) = sk_c7)), introduced(assumption)).
% 3.47/2.46 tff(204,plain,
% 3.47/2.46 (((inverse(sk_c5) = sk_c8) | (multiply(sk_c1, sk_c8) = sk_c7)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c1, sk_c8) = sk_c7))),
% 3.47/2.46 inference(rewrite,[status(thm)],[])).
% 3.47/2.46 tff(205,plain,
% 3.47/2.46 (((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c1, sk_c8) = sk_c7))),
% 3.47/2.46 inference(rewrite,[status(thm)],[])).
% 3.47/2.46 tff(206,axiom,((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_10')).
% 3.47/2.46 tff(207,plain,
% 3.47/2.46 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c1, sk_c8) = sk_c7)),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[206, 205])).
% 3.47/2.46 tff(208,plain,
% 3.47/2.46 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c1, sk_c8) = sk_c7)),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[207, 204])).
% 3.47/2.46 tff(209,plain,
% 3.47/2.46 (inverse(sk_c5) = sk_c8),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[208, 203])).
% 3.47/2.46 tff(210,plain,
% 3.47/2.46 (sk_c8 = inverse(sk_c5)),
% 3.47/2.46 inference(symmetry,[status(thm)],[209])).
% 3.47/2.46 tff(211,plain,
% 3.47/2.46 (multiply(sk_c8, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 3.47/2.46 inference(monotonicity,[status(thm)],[210])).
% 3.47/2.46 tff(212,plain,
% 3.47/2.46 (multiply(sk_c8, sk_c5) = identity),
% 3.47/2.46 inference(transitivity,[status(thm)],[211, 118])).
% 3.47/2.46 tff(213,plain,
% 3.47/2.46 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(identity, sk_c8)),
% 3.47/2.46 inference(monotonicity,[status(thm)],[212])).
% 3.47/2.46 tff(214,plain,
% 3.47/2.46 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 3.47/2.46 inference(symmetry,[status(thm)],[116])).
% 3.47/2.46 tff(215,plain,
% 3.47/2.46 (((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 3.47/2.46 inference(rewrite,[status(thm)],[])).
% 3.47/2.46 tff(216,axiom,((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_9')).
% 3.47/2.46 tff(217,plain,
% 3.47/2.46 ((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[216, 215])).
% 3.47/2.46 tff(218,plain,
% 3.47/2.46 (multiply(sk_c5, sk_c8) = sk_c6),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[217, 203])).
% 3.47/2.46 tff(219,plain,
% 3.47/2.46 (sk_c6 = multiply(sk_c5, sk_c8)),
% 3.47/2.46 inference(symmetry,[status(thm)],[218])).
% 3.47/2.46 tff(220,plain,
% 3.47/2.46 (multiply(sk_c8, sk_c6) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 3.47/2.46 inference(monotonicity,[status(thm)],[219])).
% 3.47/2.46 tff(221,plain,
% 3.47/2.46 (sk_c7 = multiply(sk_c8, sk_c6)),
% 3.47/2.46 inference(symmetry,[status(thm)],[104])).
% 3.47/2.46 tff(222,plain,
% 3.47/2.46 (sk_c7 = sk_c8),
% 3.47/2.46 inference(transitivity,[status(thm)],[221, 220, 214, 213, 9])).
% 3.47/2.46 tff(223,plain,
% 3.47/2.46 ((multiply(sk_c4, sk_c8) = sk_c7) <=> (multiply(sk_c4, sk_c8) = sk_c8)),
% 3.47/2.46 inference(monotonicity,[status(thm)],[222])).
% 3.47/2.46 tff(224,plain,
% 3.47/2.46 ((multiply(sk_c4, sk_c8) = sk_c8) <=> (multiply(sk_c4, sk_c8) = sk_c7)),
% 3.47/2.46 inference(symmetry,[status(thm)],[223])).
% 3.47/2.46 tff(225,plain,
% 3.47/2.46 (((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 3.47/2.46 inference(rewrite,[status(thm)],[])).
% 3.47/2.46 tff(226,axiom,((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_7')).
% 3.47/2.46 tff(227,plain,
% 3.47/2.46 ((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[226, 225])).
% 3.47/2.46 tff(228,plain,
% 3.47/2.46 (multiply(sk_c4, sk_c7) = sk_c8),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[227, 203])).
% 3.47/2.46 tff(229,plain,
% 3.47/2.46 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(sk_c8, sk_c6)),
% 3.47/2.46 inference(symmetry,[status(thm)],[220])).
% 3.47/2.46 tff(230,plain,
% 3.47/2.46 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 3.47/2.46 inference(symmetry,[status(thm)],[213])).
% 3.47/2.46 tff(231,plain,
% 3.47/2.46 (sk_c8 = sk_c7),
% 3.47/2.46 inference(transitivity,[status(thm)],[130, 230, 116, 229, 104])).
% 3.47/2.46 tff(232,plain,
% 3.47/2.46 (multiply(sk_c4, sk_c8) = multiply(sk_c4, sk_c7)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[231])).
% 3.47/2.47 tff(233,plain,
% 3.47/2.47 (multiply(sk_c4, sk_c8) = sk_c8),
% 3.47/2.47 inference(transitivity,[status(thm)],[232, 228])).
% 3.47/2.47 tff(234,plain,
% 3.47/2.47 (multiply(sk_c4, sk_c8) = sk_c7),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[233, 224])).
% 3.47/2.47 tff(235,assumption,(~(inverse(sk_c4) = sk_c8)), introduced(assumption)).
% 3.47/2.47 tff(236,plain,
% 3.47/2.47 (((inverse(sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8))),
% 3.47/2.47 inference(rewrite,[status(thm)],[])).
% 3.47/2.47 tff(237,axiom,((inverse(sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_26')).
% 3.47/2.47 tff(238,plain,
% 3.47/2.47 ((inverse(sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[237, 236])).
% 3.47/2.47 tff(239,plain,
% 3.47/2.47 (inverse(sk_c2) = sk_c8),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[238, 235])).
% 3.47/2.47 tff(240,plain,
% 3.47/2.47 (sk_c8 = inverse(sk_c2)),
% 3.47/2.47 inference(symmetry,[status(thm)],[239])).
% 3.47/2.47 tff(241,plain,
% 3.47/2.47 (multiply(sk_c8, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[240])).
% 3.47/2.47 tff(242,plain,
% 3.47/2.47 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c8, sk_c2)),
% 3.47/2.47 inference(symmetry,[status(thm)],[241])).
% 3.47/2.47 tff(243,plain,
% 3.47/2.47 (identity = multiply(sk_c8, sk_c2)),
% 3.47/2.47 inference(transitivity,[status(thm)],[27, 242])).
% 3.47/2.47 tff(244,plain,
% 3.47/2.47 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c2), sk_c8)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[243])).
% 3.47/2.47 tff(245,plain,
% 3.47/2.47 (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(identity, sk_c8)),
% 3.47/2.47 inference(symmetry,[status(thm)],[244])).
% 3.47/2.47 tff(246,plain,
% 3.47/2.47 (((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c8) = sk_c3)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c8) = sk_c3))),
% 3.47/2.47 inference(rewrite,[status(thm)],[])).
% 3.47/2.47 tff(247,plain,
% 3.47/2.47 (((multiply(sk_c2, sk_c8) = sk_c3) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c8) = sk_c3))),
% 3.47/2.47 inference(rewrite,[status(thm)],[])).
% 3.47/2.47 tff(248,axiom,((multiply(sk_c2, sk_c8) = sk_c3) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_21')).
% 3.47/2.47 tff(249,plain,
% 3.47/2.47 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c8) = sk_c3)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[248, 247])).
% 3.47/2.47 tff(250,plain,
% 3.47/2.47 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c8) = sk_c3)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[249, 246])).
% 3.47/2.47 tff(251,plain,
% 3.47/2.47 (multiply(sk_c2, sk_c8) = sk_c3),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[250, 235])).
% 3.47/2.47 tff(252,plain,
% 3.47/2.47 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = multiply(sk_c8, sk_c3)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[251])).
% 3.47/2.47 tff(253,plain,
% 3.47/2.47 (multiply(sk_c8, sk_c3) = multiply(sk_c8, multiply(sk_c2, sk_c8))),
% 3.47/2.47 inference(symmetry,[status(thm)],[252])).
% 3.47/2.47 tff(254,plain,
% 3.47/2.47 (((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c8) = sk_c7)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c8) = sk_c7))),
% 3.47/2.47 inference(rewrite,[status(thm)],[])).
% 3.47/2.47 tff(255,plain,
% 3.47/2.47 (((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c8) = sk_c7))),
% 3.47/2.47 inference(rewrite,[status(thm)],[])).
% 3.47/2.47 tff(256,axiom,((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_6')).
% 3.47/2.47 tff(257,plain,
% 3.47/2.47 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c8) = sk_c7)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[256, 255])).
% 3.47/2.47 tff(258,plain,
% 3.47/2.47 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c8) = sk_c7)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[257, 254])).
% 3.47/2.47 tff(259,plain,
% 3.47/2.47 (multiply(sk_c1, sk_c8) = sk_c7),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[258, 235])).
% 3.47/2.47 tff(260,plain,
% 3.47/2.47 (multiply(sk_c1, sk_c8) = sk_c8),
% 3.47/2.47 inference(transitivity,[status(thm)],[259, 202, 253, 40, 245, 9])).
% 3.47/2.47 tff(261,plain,
% 3.47/2.47 (multiply(multiply(sk_c1, sk_c8), sk_c6) = multiply(sk_c8, sk_c6)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[260])).
% 3.47/2.47 tff(262,plain,
% 3.47/2.47 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c8), sk_c6) = multiply(sk_c1, multiply(sk_c8, sk_c6)))),
% 3.47/2.47 inference(quant_inst,[status(thm)],[])).
% 3.47/2.47 tff(263,plain,
% 3.47/2.47 (multiply(multiply(sk_c1, sk_c8), sk_c6) = multiply(sk_c1, multiply(sk_c8, sk_c6))),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[262, 37])).
% 3.47/2.47 tff(264,plain,
% 3.47/2.47 (multiply(sk_c1, multiply(sk_c8, sk_c6)) = multiply(multiply(sk_c1, sk_c8), sk_c6)),
% 3.47/2.47 inference(symmetry,[status(thm)],[263])).
% 3.47/2.47 tff(265,plain,
% 3.47/2.47 (multiply(sk_c1, sk_c7) = multiply(sk_c1, multiply(sk_c8, sk_c6))),
% 3.47/2.47 inference(monotonicity,[status(thm)],[221])).
% 3.47/2.47 tff(266,plain,
% 3.47/2.47 (multiply(sk_c1, sk_c7) = sk_c8),
% 3.47/2.47 inference(transitivity,[status(thm)],[265, 264, 261, 104, 202, 253, 40, 245, 9])).
% 3.47/2.47 tff(267,plain,
% 3.47/2.47 (((inverse(sk_c1) = sk_c8) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c1) = sk_c8) | (inverse(sk_c4) = sk_c8))),
% 3.47/2.47 inference(rewrite,[status(thm)],[])).
% 3.47/2.47 tff(268,axiom,((inverse(sk_c1) = sk_c8) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_11')).
% 3.47/2.47 tff(269,plain,
% 3.47/2.47 ((inverse(sk_c1) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[268, 267])).
% 3.47/2.47 tff(270,plain,
% 3.47/2.47 (inverse(sk_c1) = sk_c8),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[269, 235])).
% 3.47/2.47 tff(271,assumption,(~(inverse(sk_c8) = sk_c7)), introduced(assumption)).
% 3.47/2.47 tff(272,plain,
% 3.47/2.47 (((inverse(sk_c8) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((inverse(sk_c8) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 3.47/2.47 inference(rewrite,[status(thm)],[])).
% 3.47/2.47 tff(273,axiom,((inverse(sk_c8) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_4')).
% 3.47/2.47 tff(274,plain,
% 3.47/2.47 ((inverse(sk_c8) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[273, 272])).
% 3.47/2.47 tff(275,plain,
% 3.47/2.47 (multiply(sk_c5, sk_c8) = sk_c6),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[274, 271])).
% 3.47/2.47 tff(276,plain,
% 3.47/2.47 (sk_c6 = multiply(sk_c5, sk_c8)),
% 3.47/2.47 inference(symmetry,[status(thm)],[275])).
% 3.47/2.47 tff(277,plain,
% 3.47/2.47 (multiply(sk_c8, sk_c6) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 3.47/2.47 inference(monotonicity,[status(thm)],[276])).
% 3.47/2.47 tff(278,plain,
% 3.47/2.47 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(sk_c8, sk_c6)),
% 3.47/2.47 inference(symmetry,[status(thm)],[277])).
% 3.47/2.47 tff(279,plain,
% 3.47/2.47 (((inverse(sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8))),
% 3.47/2.47 inference(rewrite,[status(thm)],[])).
% 3.47/2.47 tff(280,axiom,((inverse(sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_5')).
% 3.47/2.47 tff(281,plain,
% 3.47/2.47 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[280, 279])).
% 3.47/2.47 tff(282,plain,
% 3.47/2.47 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[281, 279])).
% 3.47/2.47 tff(283,plain,
% 3.47/2.47 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[282, 279])).
% 3.47/2.47 tff(284,plain,
% 3.47/2.47 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[283, 279])).
% 3.47/2.47 tff(285,plain,
% 3.47/2.47 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[284, 279])).
% 3.47/2.47 tff(286,plain,
% 3.47/2.47 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[285, 279])).
% 3.47/2.47 tff(287,plain,
% 3.47/2.47 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[286, 279])).
% 3.47/2.47 tff(288,plain,
% 3.47/2.47 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[287, 279])).
% 3.47/2.47 tff(289,plain,
% 3.47/2.47 (inverse(sk_c5) = sk_c8),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[288, 271])).
% 3.47/2.47 tff(290,plain,
% 3.47/2.47 (sk_c8 = inverse(sk_c5)),
% 3.47/2.47 inference(symmetry,[status(thm)],[289])).
% 3.47/2.47 tff(291,plain,
% 3.47/2.47 (multiply(sk_c8, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[290])).
% 3.47/2.47 tff(292,plain,
% 3.47/2.47 (multiply(sk_c8, sk_c5) = identity),
% 3.47/2.47 inference(transitivity,[status(thm)],[291, 118])).
% 3.47/2.47 tff(293,plain,
% 3.47/2.47 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(identity, sk_c8)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[292])).
% 3.47/2.47 tff(294,plain,
% 3.47/2.47 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 3.47/2.47 inference(symmetry,[status(thm)],[293])).
% 3.47/2.47 tff(295,plain,
% 3.47/2.47 (((inverse(sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8))),
% 3.47/2.47 inference(rewrite,[status(thm)],[])).
% 3.47/2.47 tff(296,axiom,((inverse(sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_1')).
% 3.47/2.47 tff(297,plain,
% 3.47/2.47 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[296, 295])).
% 3.47/2.47 tff(298,plain,
% 3.47/2.47 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[297, 295])).
% 3.47/2.47 tff(299,plain,
% 3.47/2.47 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[298, 295])).
% 3.47/2.47 tff(300,plain,
% 3.47/2.47 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[299, 295])).
% 3.47/2.47 tff(301,plain,
% 3.47/2.47 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[300, 295])).
% 3.47/2.47 tff(302,plain,
% 3.47/2.47 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[301, 295])).
% 3.47/2.47 tff(303,plain,
% 3.47/2.47 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[302, 295])).
% 3.47/2.47 tff(304,plain,
% 3.47/2.47 ((inverse(sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[303, 295])).
% 3.47/2.47 tff(305,plain,
% 3.47/2.47 (inverse(sk_c4) = sk_c8),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[304, 271])).
% 3.47/2.47 tff(306,plain,
% 3.47/2.47 (multiply(inverse(sk_c5), sk_c5) = multiply(sk_c8, sk_c5)),
% 3.47/2.47 inference(symmetry,[status(thm)],[291])).
% 3.47/2.47 tff(307,plain,
% 3.47/2.47 (identity = multiply(sk_c8, sk_c5)),
% 3.47/2.47 inference(transitivity,[status(thm)],[140, 306])).
% 3.47/2.47 tff(308,plain,
% 3.47/2.47 (multiply(identity, sk_c4) = multiply(multiply(sk_c8, sk_c5), sk_c4)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[307])).
% 3.47/2.47 tff(309,plain,
% 3.47/2.47 (multiply(multiply(sk_c8, sk_c5), sk_c4) = multiply(identity, sk_c4)),
% 3.47/2.47 inference(symmetry,[status(thm)],[308])).
% 3.47/2.47 tff(310,plain,
% 3.47/2.47 (sk_c8 = sk_c7),
% 3.47/2.47 inference(transitivity,[status(thm)],[130, 294, 116, 278, 104])).
% 3.47/2.47 tff(311,plain,
% 3.47/2.47 (multiply(sk_c4, sk_c8) = multiply(sk_c4, sk_c7)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[310])).
% 3.47/2.47 tff(312,plain,
% 3.47/2.47 (multiply(sk_c4, sk_c7) = multiply(sk_c4, sk_c8)),
% 3.47/2.47 inference(symmetry,[status(thm)],[311])).
% 3.47/2.47 tff(313,plain,
% 3.47/2.47 (((inverse(sk_c8) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((inverse(sk_c8) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 3.47/2.47 inference(rewrite,[status(thm)],[])).
% 3.47/2.47 tff(314,axiom,((inverse(sk_c8) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_2')).
% 3.47/2.47 tff(315,plain,
% 3.47/2.47 ((inverse(sk_c8) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[314, 313])).
% 3.47/2.47 tff(316,plain,
% 3.47/2.47 (multiply(sk_c4, sk_c7) = sk_c8),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[315, 271])).
% 3.47/2.47 tff(317,plain,
% 3.47/2.47 (sk_c8 = multiply(sk_c4, sk_c7)),
% 3.47/2.47 inference(symmetry,[status(thm)],[316])).
% 3.47/2.47 tff(318,plain,
% 3.47/2.47 (sk_c8 = multiply(sk_c4, sk_c8)),
% 3.47/2.47 inference(transitivity,[status(thm)],[317, 312])).
% 3.47/2.47 tff(319,plain,
% 3.47/2.47 (multiply(sk_c8, sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 3.47/2.47 inference(monotonicity,[status(thm)],[318])).
% 3.47/2.47 tff(320,plain,
% 3.47/2.47 (multiply(sk_c8, multiply(sk_c4, sk_c8)) = multiply(sk_c8, sk_c8)),
% 3.47/2.47 inference(symmetry,[status(thm)],[319])).
% 3.47/2.47 tff(321,plain,
% 3.47/2.47 (sk_c8 = inverse(sk_c4)),
% 3.47/2.47 inference(symmetry,[status(thm)],[305])).
% 3.47/2.47 tff(322,plain,
% 3.47/2.47 (multiply(sk_c8, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[321])).
% 3.47/2.47 tff(323,plain,
% 3.47/2.47 (multiply(sk_c8, sk_c4) = multiply(sk_c8, sk_c5)),
% 3.47/2.47 inference(transitivity,[status(thm)],[322, 163, 140, 306])).
% 3.47/2.47 tff(324,plain,
% 3.47/2.47 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[323])).
% 3.47/2.47 tff(325,plain,
% 3.47/2.47 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(multiply(sk_c8, sk_c4), sk_c8)),
% 3.47/2.47 inference(symmetry,[status(thm)],[324])).
% 3.47/2.47 tff(326,plain,
% 3.47/2.47 (sk_c8 = multiply(sk_c8, sk_c8)),
% 3.47/2.47 inference(transitivity,[status(thm)],[130, 294, 325, 161, 320])).
% 3.47/2.47 tff(327,plain,
% 3.47/2.47 (multiply(sk_c8, multiply(sk_c5, sk_c4)) = multiply(multiply(sk_c8, sk_c8), multiply(sk_c5, sk_c4))),
% 3.47/2.47 inference(monotonicity,[status(thm)],[326])).
% 3.47/2.47 tff(328,plain,
% 3.47/2.47 (multiply(multiply(sk_c8, sk_c8), multiply(sk_c5, sk_c4)) = multiply(sk_c8, multiply(sk_c5, sk_c4))),
% 3.47/2.47 inference(symmetry,[status(thm)],[327])).
% 3.47/2.47 tff(329,plain,
% 3.47/2.47 (multiply(sk_c8, multiply(sk_c5, sk_c4)) = sk_c4),
% 3.47/2.47 inference(transitivity,[status(thm)],[146, 309, 138])).
% 3.47/2.47 tff(330,plain,
% 3.47/2.47 (multiply(sk_c8, multiply(sk_c8, multiply(sk_c5, sk_c4))) = multiply(inverse(sk_c4), sk_c4)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[321, 329])).
% 3.47/2.47 tff(331,plain,
% 3.47/2.47 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c8, multiply(sk_c8, multiply(sk_c5, sk_c4)))),
% 3.47/2.47 inference(symmetry,[status(thm)],[330])).
% 3.47/2.47 tff(332,plain,
% 3.47/2.47 (multiply(inverse(sk_c8), sk_c8) = multiply(inverse(sk_c8), multiply(sk_c8, sk_c8))),
% 3.47/2.47 inference(monotonicity,[status(thm)],[326])).
% 3.47/2.47 tff(333,plain,
% 3.47/2.47 (multiply(inverse(sk_c8), multiply(sk_c8, sk_c8)) = multiply(inverse(sk_c8), sk_c8)),
% 3.47/2.47 inference(symmetry,[status(thm)],[332])).
% 3.47/2.47 tff(334,plain,
% 3.47/2.47 (multiply(inverse(sk_c8), sk_c8) = multiply(sk_c8, sk_c5)),
% 3.47/2.47 inference(transitivity,[status(thm)],[180, 140, 306])).
% 3.47/2.47 tff(335,plain,
% 3.47/2.47 (multiply(multiply(inverse(sk_c8), sk_c8), sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[334])).
% 3.47/2.47 tff(336,plain,
% 3.47/2.47 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(multiply(inverse(sk_c8), sk_c8), sk_c8)),
% 3.47/2.47 inference(symmetry,[status(thm)],[335])).
% 3.47/2.47 tff(337,plain,
% 3.47/2.47 (sk_c8 = sk_c4),
% 3.47/2.47 inference(transitivity,[status(thm)],[130, 294, 336, 184, 333, 180, 178, 331, 174, 328, 146, 309, 138])).
% 3.47/2.47 tff(338,plain,
% 3.47/2.47 (inverse(sk_c8) = inverse(sk_c4)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[337])).
% 3.47/2.47 tff(339,plain,
% 3.47/2.47 (inverse(sk_c8) = sk_c7),
% 3.47/2.47 inference(transitivity,[status(thm)],[338, 305, 130, 294, 116, 278, 104])).
% 3.47/2.47 tff(340,plain,
% 3.47/2.47 ($false),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[271, 339])).
% 3.47/2.47 tff(341,plain,(inverse(sk_c8) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 3.47/2.47 tff(342,plain,
% 3.47/2.47 (~(multiply(sk_c1, sk_c7) = sk_c8)),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[101, 341, 259, 270, 201, 251, 239, 87])).
% 3.47/2.47 tff(343,plain,
% 3.47/2.47 ($false),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[342, 266])).
% 3.47/2.47 tff(344,plain,(inverse(sk_c4) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 3.47/2.47 tff(345,plain,
% 3.47/2.47 (~(multiply(sk_c4, sk_c8) = sk_c7)),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[197, 341, 344, 228, 104, 218, 209, 87])).
% 3.47/2.47 tff(346,plain,
% 3.47/2.47 ($false),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[345, 234])).
% 3.47/2.47 tff(347,plain,(multiply(sk_c1, sk_c8) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 3.47/2.47 tff(348,plain,
% 3.47/2.47 (multiply(sk_c1, sk_c8) = sk_c8),
% 3.47/2.47 inference(transitivity,[status(thm)],[347, 202, 48, 40, 30, 9])).
% 3.47/2.47 tff(349,plain,
% 3.47/2.47 (multiply(multiply(sk_c1, sk_c8), sk_c6) = multiply(sk_c8, sk_c6)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[348])).
% 3.47/2.47 tff(350,plain,
% 3.47/2.47 (multiply(sk_c1, sk_c7) = sk_c8),
% 3.47/2.47 inference(transitivity,[status(thm)],[265, 264, 349, 104, 202, 48, 40, 30, 9])).
% 3.47/2.47 tff(351,plain,
% 3.47/2.47 (((inverse(sk_c1) = sk_c8) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c1) = sk_c8) | (inverse(sk_c5) = sk_c8))),
% 3.47/2.47 inference(rewrite,[status(thm)],[])).
% 3.47/2.47 tff(352,axiom,((inverse(sk_c1) = sk_c8) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_15')).
% 3.47/2.47 tff(353,plain,
% 3.47/2.47 ((inverse(sk_c1) = sk_c8) | (inverse(sk_c5) = sk_c8)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[352, 351])).
% 3.47/2.47 tff(354,plain,
% 3.47/2.47 (inverse(sk_c1) = sk_c8),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[353, 10])).
% 3.47/2.47 tff(355,plain,
% 3.47/2.47 (~(multiply(sk_c1, sk_c7) = sk_c8)),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[101, 341, 347, 354, 201, 46, 14, 87])).
% 3.47/2.47 tff(356,plain,
% 3.47/2.47 ($false),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[355, 350])).
% 3.47/2.47 tff(357,plain,(inverse(sk_c5) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 3.47/2.47 tff(358,plain,
% 3.47/2.47 (sk_c8 = inverse(sk_c5)),
% 3.47/2.47 inference(symmetry,[status(thm)],[357])).
% 3.47/2.47 tff(359,plain,
% 3.47/2.47 (multiply(sk_c8, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[358])).
% 3.47/2.47 tff(360,plain,
% 3.47/2.47 (multiply(inverse(sk_c5), sk_c5) = multiply(sk_c8, sk_c5)),
% 3.47/2.47 inference(symmetry,[status(thm)],[359])).
% 3.47/2.47 tff(361,plain,
% 3.47/2.47 (identity = multiply(sk_c8, sk_c5)),
% 3.47/2.47 inference(transitivity,[status(thm)],[140, 360])).
% 3.47/2.47 tff(362,plain,
% 3.47/2.47 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[361])).
% 3.47/2.47 tff(363,plain,
% 3.47/2.47 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(identity, sk_c8)),
% 3.47/2.47 inference(symmetry,[status(thm)],[362])).
% 3.47/2.47 tff(364,assumption,(~(multiply(sk_c5, sk_c8) = sk_c6)), introduced(assumption)).
% 3.47/2.47 tff(365,plain,
% 3.47/2.47 (((inverse(sk_c2) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((inverse(sk_c2) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 3.47/2.47 inference(rewrite,[status(thm)],[])).
% 3.47/2.47 tff(366,axiom,((inverse(sk_c2) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_29')).
% 3.47/2.47 tff(367,plain,
% 3.47/2.47 ((inverse(sk_c2) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[366, 365])).
% 3.47/2.47 tff(368,plain,
% 3.47/2.47 (inverse(sk_c2) = sk_c8),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[367, 364])).
% 3.47/2.47 tff(369,plain,
% 3.47/2.47 (sk_c8 = inverse(sk_c2)),
% 3.47/2.47 inference(symmetry,[status(thm)],[368])).
% 3.47/2.47 tff(370,plain,
% 3.47/2.47 (multiply(sk_c8, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[369])).
% 3.47/2.47 tff(371,plain,
% 3.47/2.47 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c8, sk_c2)),
% 3.47/2.47 inference(symmetry,[status(thm)],[370])).
% 3.47/2.47 tff(372,plain,
% 3.47/2.47 (identity = multiply(sk_c8, sk_c2)),
% 3.47/2.47 inference(transitivity,[status(thm)],[27, 371])).
% 3.47/2.47 tff(373,plain,
% 3.47/2.47 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c2), sk_c8)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[372])).
% 3.47/2.47 tff(374,plain,
% 3.47/2.47 (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(identity, sk_c8)),
% 3.47/2.47 inference(symmetry,[status(thm)],[373])).
% 3.47/2.47 tff(375,plain,
% 3.47/2.47 (multiply(sk_c8, sk_c5) = identity),
% 3.47/2.47 inference(transitivity,[status(thm)],[359, 118])).
% 3.47/2.47 tff(376,plain,
% 3.47/2.47 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(identity, sk_c8)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[375])).
% 3.47/2.47 tff(377,assumption,(~(multiply(sk_c2, sk_c8) = sk_c3)), introduced(assumption)).
% 3.47/2.47 tff(378,plain,
% 3.47/2.47 (((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))),
% 3.47/2.47 inference(rewrite,[status(thm)],[])).
% 3.47/2.47 tff(379,axiom,((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_24')).
% 3.47/2.47 tff(380,plain,
% 3.47/2.47 ((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[379, 378])).
% 3.47/2.47 tff(381,plain,
% 3.47/2.47 (multiply(sk_c5, sk_c8) = sk_c6),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[380, 377])).
% 3.47/2.47 tff(382,plain,
% 3.47/2.47 (sk_c6 = multiply(sk_c5, sk_c8)),
% 3.47/2.47 inference(symmetry,[status(thm)],[381])).
% 3.47/2.47 tff(383,plain,
% 3.47/2.47 (multiply(sk_c8, sk_c6) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 3.47/2.47 inference(monotonicity,[status(thm)],[382])).
% 3.47/2.47 tff(384,plain,
% 3.47/2.47 (sk_c7 = sk_c8),
% 3.47/2.47 inference(transitivity,[status(thm)],[221, 383, 214, 376, 9])).
% 3.47/2.47 tff(385,plain,
% 3.47/2.47 ((multiply(sk_c4, sk_c8) = sk_c7) <=> (multiply(sk_c4, sk_c8) = sk_c8)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[384])).
% 3.47/2.47 tff(386,plain,
% 3.47/2.47 ((multiply(sk_c4, sk_c8) = sk_c8) <=> (multiply(sk_c4, sk_c8) = sk_c7)),
% 3.47/2.47 inference(symmetry,[status(thm)],[385])).
% 3.47/2.47 tff(387,plain,
% 3.47/2.47 (((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 3.47/2.47 inference(rewrite,[status(thm)],[])).
% 3.47/2.47 tff(388,axiom,((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_22')).
% 3.47/2.47 tff(389,plain,
% 3.47/2.47 ((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[388, 387])).
% 3.47/2.47 tff(390,plain,
% 3.47/2.47 (multiply(sk_c4, sk_c7) = sk_c8),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[389, 377])).
% 3.47/2.47 tff(391,plain,
% 3.47/2.47 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(sk_c8, sk_c6)),
% 3.47/2.47 inference(symmetry,[status(thm)],[383])).
% 3.47/2.47 tff(392,plain,
% 3.47/2.47 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 3.47/2.47 inference(symmetry,[status(thm)],[376])).
% 3.47/2.47 tff(393,plain,
% 3.47/2.47 (sk_c8 = sk_c7),
% 3.47/2.47 inference(transitivity,[status(thm)],[130, 392, 116, 391, 104])).
% 3.47/2.47 tff(394,plain,
% 3.47/2.47 (multiply(sk_c4, sk_c8) = multiply(sk_c4, sk_c7)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[393])).
% 3.47/2.47 tff(395,plain,
% 3.47/2.47 (multiply(sk_c4, sk_c8) = sk_c8),
% 3.47/2.47 inference(transitivity,[status(thm)],[394, 390])).
% 3.47/2.47 tff(396,plain,
% 3.47/2.47 (multiply(sk_c4, sk_c8) = sk_c7),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[395, 386])).
% 3.47/2.47 tff(397,plain,
% 3.47/2.47 ((~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c8) = sk_c6))),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[197, 341, 344, 104, 357, 87])).
% 3.47/2.47 tff(398,plain,
% 3.47/2.47 (~(multiply(sk_c4, sk_c8) = sk_c7)),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[397, 381, 390])).
% 3.47/2.47 tff(399,plain,
% 3.47/2.47 ($false),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[398, 396])).
% 3.47/2.47 tff(400,plain,(multiply(sk_c2, sk_c8) = sk_c3), inference(lemma,lemma(discharge,[]))).
% 3.47/2.47 tff(401,plain,
% 3.47/2.47 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = multiply(sk_c8, sk_c3)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[400])).
% 3.47/2.47 tff(402,plain,
% 3.47/2.47 (multiply(sk_c8, sk_c3) = multiply(sk_c8, multiply(sk_c2, sk_c8))),
% 3.47/2.47 inference(symmetry,[status(thm)],[401])).
% 3.47/2.47 tff(403,plain,
% 3.47/2.47 (multiply(sk_c1, sk_c8) = sk_c8),
% 3.47/2.47 inference(transitivity,[status(thm)],[347, 202, 402, 40, 374, 9])).
% 3.47/2.47 tff(404,plain,
% 3.47/2.47 (multiply(multiply(sk_c1, sk_c8), sk_c6) = multiply(sk_c8, sk_c6)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[403])).
% 3.47/2.47 tff(405,plain,
% 3.47/2.47 (multiply(sk_c1, sk_c7) = sk_c8),
% 3.47/2.47 inference(transitivity,[status(thm)],[265, 264, 404, 104, 202, 402, 40, 374, 9])).
% 3.47/2.47 tff(406,plain,
% 3.47/2.47 (((inverse(sk_c1) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((inverse(sk_c1) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 3.47/2.47 inference(rewrite,[status(thm)],[])).
% 3.47/2.47 tff(407,axiom,((inverse(sk_c1) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_14')).
% 3.47/2.47 tff(408,plain,
% 3.47/2.47 ((inverse(sk_c1) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[407, 406])).
% 3.47/2.47 tff(409,plain,
% 3.47/2.47 (inverse(sk_c1) = sk_c8),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[408, 364])).
% 3.47/2.47 tff(410,plain,
% 3.47/2.47 (~(multiply(sk_c1, sk_c7) = sk_c8)),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[101, 341, 347, 409, 201, 400, 368, 87])).
% 3.47/2.47 tff(411,plain,
% 3.47/2.47 ($false),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[410, 405])).
% 3.47/2.47 tff(412,plain,(multiply(sk_c5, sk_c8) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 3.47/2.47 tff(413,plain,
% 3.47/2.47 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(sk_c8, sk_c6)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[412])).
% 3.47/2.47 tff(414,plain,
% 3.47/2.47 (multiply(sk_c8, sk_c6) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 3.47/2.47 inference(symmetry,[status(thm)],[413])).
% 3.47/2.47 tff(415,plain,
% 3.47/2.47 (sk_c7 = sk_c8),
% 3.47/2.47 inference(transitivity,[status(thm)],[221, 414, 214, 363, 9])).
% 3.47/2.47 tff(416,plain,
% 3.47/2.47 (multiply(sk_c1, sk_c7) = multiply(sk_c1, sk_c8)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[415])).
% 3.47/2.47 tff(417,plain,
% 3.47/2.47 (multiply(sk_c1, sk_c7) = sk_c8),
% 3.47/2.47 inference(transitivity,[status(thm)],[416, 347, 221, 414, 214, 363, 9])).
% 3.47/2.47 tff(418,plain,
% 3.47/2.47 (sk_c7 = inverse(sk_c8)),
% 3.47/2.47 inference(symmetry,[status(thm)],[341])).
% 3.47/2.47 tff(419,plain,
% 3.47/2.47 (multiply(sk_c7, sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[418])).
% 3.47/2.47 tff(420,plain,
% 3.47/2.47 (multiply(sk_c7, sk_c8) = multiply(sk_c8, sk_c5)),
% 3.47/2.47 inference(transitivity,[status(thm)],[419, 180, 140, 360])).
% 3.47/2.47 tff(421,plain,
% 3.47/2.47 (multiply(multiply(sk_c7, sk_c8), sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[420])).
% 3.47/2.47 tff(422,plain,
% 3.47/2.47 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c8), sk_c8) = multiply(sk_c7, multiply(sk_c8, sk_c8)))),
% 3.47/2.47 inference(quant_inst,[status(thm)],[])).
% 3.47/2.47 tff(423,plain,
% 3.47/2.47 (multiply(multiply(sk_c7, sk_c8), sk_c8) = multiply(sk_c7, multiply(sk_c8, sk_c8))),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[422, 37])).
% 3.47/2.47 tff(424,plain,
% 3.47/2.47 (multiply(sk_c7, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c7, sk_c8), sk_c8)),
% 3.47/2.47 inference(symmetry,[status(thm)],[423])).
% 3.47/2.47 tff(425,plain,
% 3.47/2.47 (multiply(sk_c8, sk_c8) = multiply(multiply(identity, sk_c8), sk_c8)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[130])).
% 3.47/2.47 tff(426,plain,
% 3.47/2.47 (multiply(multiply(identity, sk_c8), sk_c8) = multiply(sk_c8, sk_c8)),
% 3.47/2.47 inference(symmetry,[status(thm)],[425])).
% 3.47/2.47 tff(427,plain,
% 3.47/2.47 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c8), sk_c8) = multiply(identity, multiply(sk_c8, sk_c8)))),
% 3.47/2.47 inference(quant_inst,[status(thm)],[])).
% 3.47/2.47 tff(428,plain,
% 3.47/2.47 (multiply(multiply(identity, sk_c8), sk_c8) = multiply(identity, multiply(sk_c8, sk_c8))),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[427, 37])).
% 3.47/2.47 tff(429,plain,
% 3.47/2.47 (multiply(identity, multiply(sk_c8, sk_c8)) = multiply(multiply(identity, sk_c8), sk_c8)),
% 3.47/2.47 inference(symmetry,[status(thm)],[428])).
% 3.47/2.47 tff(430,plain,
% 3.47/2.47 (multiply(identity, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c8, sk_c5), multiply(sk_c8, sk_c8))),
% 3.47/2.47 inference(monotonicity,[status(thm)],[361])).
% 3.47/2.47 tff(431,plain,
% 3.47/2.47 (multiply(multiply(sk_c8, sk_c5), multiply(sk_c8, sk_c8)) = multiply(identity, multiply(sk_c8, sk_c8))),
% 3.47/2.47 inference(symmetry,[status(thm)],[430])).
% 3.47/2.47 tff(432,plain,
% 3.47/2.47 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c5), multiply(sk_c8, sk_c8)) = multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 3.47/2.47 inference(quant_inst,[status(thm)],[])).
% 3.47/2.47 tff(433,plain,
% 3.47/2.47 (multiply(multiply(sk_c8, sk_c5), multiply(sk_c8, sk_c8)) = multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[432, 37])).
% 3.47/2.47 tff(434,plain,
% 3.47/2.47 (multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c8, sk_c5), multiply(sk_c8, sk_c8))),
% 3.47/2.47 inference(symmetry,[status(thm)],[433])).
% 3.47/2.47 tff(435,plain,
% 3.47/2.47 (sk_c6 = multiply(sk_c5, sk_c8)),
% 3.47/2.47 inference(symmetry,[status(thm)],[412])).
% 3.47/2.47 tff(436,plain,
% 3.47/2.47 (multiply(sk_c6, sk_c8) = multiply(multiply(sk_c5, sk_c8), sk_c8)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[435])).
% 3.47/2.47 tff(437,plain,
% 3.47/2.47 (multiply(multiply(sk_c5, sk_c8), sk_c8) = multiply(sk_c6, sk_c8)),
% 3.47/2.47 inference(symmetry,[status(thm)],[436])).
% 3.47/2.47 tff(438,plain,
% 3.47/2.47 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c8), sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 3.47/2.47 inference(quant_inst,[status(thm)],[])).
% 3.47/2.47 tff(439,plain,
% 3.47/2.47 (multiply(multiply(sk_c5, sk_c8), sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8))),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[438, 37])).
% 3.47/2.47 tff(440,plain,
% 3.47/2.47 (multiply(sk_c5, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c5, sk_c8), sk_c8)),
% 3.47/2.47 inference(symmetry,[status(thm)],[439])).
% 3.47/2.47 tff(441,plain,
% 3.47/2.47 (multiply(sk_c5, multiply(sk_c8, sk_c8)) = multiply(sk_c6, sk_c8)),
% 3.47/2.47 inference(transitivity,[status(thm)],[440, 437])).
% 3.47/2.47 tff(442,plain,
% 3.47/2.47 (multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c8, multiply(sk_c6, sk_c8))),
% 3.47/2.47 inference(monotonicity,[status(thm)],[441])).
% 3.47/2.47 tff(443,plain,
% 3.47/2.47 (multiply(sk_c8, multiply(sk_c6, sk_c8)) = multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 3.47/2.47 inference(symmetry,[status(thm)],[442])).
% 3.47/2.47 tff(444,plain,
% 3.47/2.47 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c6), sk_c8) = multiply(sk_c8, multiply(sk_c6, sk_c8)))),
% 3.47/2.47 inference(quant_inst,[status(thm)],[])).
% 3.47/2.47 tff(445,plain,
% 3.47/2.47 (multiply(multiply(sk_c8, sk_c6), sk_c8) = multiply(sk_c8, multiply(sk_c6, sk_c8))),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[444, 37])).
% 3.47/2.47 tff(446,plain,
% 3.47/2.47 (multiply(sk_c8, sk_c6) = inverse(sk_c8)),
% 3.47/2.47 inference(transitivity,[status(thm)],[104, 418])).
% 3.47/2.47 tff(447,plain,
% 3.47/2.47 (multiply(multiply(sk_c8, sk_c6), sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[446])).
% 3.47/2.47 tff(448,plain,
% 3.47/2.47 (multiply(inverse(sk_c8), sk_c8) = multiply(multiply(sk_c8, sk_c6), sk_c8)),
% 3.47/2.47 inference(symmetry,[status(thm)],[447])).
% 3.47/2.47 tff(449,plain,
% 3.47/2.47 (identity = multiply(inverse(sk_c8), sk_c8)),
% 3.47/2.47 inference(symmetry,[status(thm)],[180])).
% 3.47/2.47 tff(450,plain,
% 3.47/2.47 (identity = multiply(sk_c8, sk_c8)),
% 3.47/2.47 inference(transitivity,[status(thm)],[449, 448, 445, 443, 434, 431, 429, 426])).
% 3.47/2.47 tff(451,plain,
% 3.47/2.47 (sk_c8 = sk_c7),
% 3.47/2.47 inference(transitivity,[status(thm)],[130, 362, 116, 413, 104])).
% 3.47/2.47 tff(452,plain,
% 3.47/2.47 (multiply(sk_c8, identity) = multiply(sk_c7, multiply(sk_c8, sk_c8))),
% 3.47/2.47 inference(monotonicity,[status(thm)],[451, 450])).
% 3.47/2.47 tff(453,plain,
% 3.47/2.47 (multiply(sk_c8, identity) = sk_c7),
% 3.47/2.47 inference(transitivity,[status(thm)],[452, 424, 421, 116, 413, 104])).
% 3.47/2.47 tff(454,plain,
% 3.47/2.47 (multiply(sk_c7, sk_c8) = identity),
% 3.47/2.47 inference(transitivity,[status(thm)],[419, 180])).
% 3.47/2.47 tff(455,plain,
% 3.47/2.47 (inverse(sk_c7) = inverse(sk_c8)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[415])).
% 3.47/2.47 tff(456,plain,
% 3.47/2.47 (inverse(sk_c7) = sk_c8),
% 3.47/2.47 inference(transitivity,[status(thm)],[455, 341, 221, 414, 214, 363, 9])).
% 3.47/2.47 tff(457,plain,
% 3.47/2.47 (multiply(sk_c4, sk_c8) = multiply(sk_c4, sk_c7)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[451])).
% 3.47/2.47 tff(458,plain,
% 3.47/2.47 ((multiply(sk_c4, sk_c8) = sk_c7) <=> (multiply(sk_c4, sk_c7) = sk_c8)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[457, 415])).
% 3.47/2.47 tff(459,plain,
% 3.47/2.47 ((multiply(sk_c4, sk_c7) = sk_c8) <=> (multiply(sk_c4, sk_c8) = sk_c7)),
% 3.47/2.47 inference(symmetry,[status(thm)],[458])).
% 3.47/2.47 tff(460,assumption,(multiply(sk_c4, sk_c7) = sk_c8), introduced(assumption)).
% 3.47/2.47 tff(461,plain,
% 3.47/2.47 (multiply(sk_c4, sk_c8) = sk_c7),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[460, 459])).
% 3.47/2.47 tff(462,plain,
% 3.47/2.47 (~(multiply(sk_c4, sk_c8) = sk_c7)),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[397, 460, 412])).
% 3.47/2.47 tff(463,plain,
% 3.47/2.47 ($false),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[462, 461])).
% 3.47/2.47 tff(464,plain,(~(multiply(sk_c4, sk_c7) = sk_c8)), inference(lemma,lemma(discharge,[]))).
% 3.47/2.47 tff(465,plain,
% 3.47/2.47 (((inverse(sk_c1) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((inverse(sk_c1) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 3.47/2.47 inference(rewrite,[status(thm)],[])).
% 3.47/2.47 tff(466,axiom,((inverse(sk_c1) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_12')).
% 3.47/2.47 tff(467,plain,
% 3.47/2.47 ((inverse(sk_c1) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[466, 465])).
% 3.47/2.47 tff(468,plain,
% 3.47/2.47 (inverse(sk_c1) = sk_c8),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[467, 464])).
% 3.47/2.47 tff(469,plain,
% 3.47/2.47 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = identity)) | (~(multiply(sk_c8, identity) = sk_c7)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = identity)) | (~(multiply(sk_c8, identity) = sk_c7)))),
% 3.47/2.48 inference(rewrite,[status(thm)],[])).
% 3.47/2.48 tff(470,plain,
% 3.47/2.48 (((~(inverse(sk_c8) = sk_c7)) | (~(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_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = identity)) | (~(multiply(sk_c8, identity) = sk_c7)))),
% 3.47/2.48 inference(rewrite,[status(thm)],[])).
% 3.47/2.48 tff(471,plain,
% 3.47/2.48 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(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_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = identity)) | (~(multiply(sk_c8, identity) = sk_c7))))),
% 3.47/2.48 inference(monotonicity,[status(thm)],[470])).
% 3.47/2.48 tff(472,plain,
% 3.47/2.48 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(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_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = identity)) | (~(multiply(sk_c8, identity) = sk_c7)))),
% 3.47/2.48 inference(transitivity,[status(thm)],[471, 469])).
% 3.47/2.48 tff(473,plain,
% 3.47/2.48 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(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_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)))),
% 3.47/2.48 inference(quant_inst,[status(thm)],[])).
% 3.47/2.48 tff(474,plain,
% 3.47/2.48 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X6, sk_c8) = X5)) | (~(multiply(sk_c8, X5) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = identity)) | (~(multiply(sk_c8, identity) = sk_c7))),
% 3.47/2.48 inference(modus_ponens,[status(thm)],[473, 472])).
% 3.47/2.48 tff(475,plain,
% 3.47/2.48 ($false),
% 3.47/2.48 inference(unit_resolution,[status(thm)],[474, 341, 347, 468, 87, 456, 454, 453, 417])).
% 3.47/2.48 % SZS output end Proof
%------------------------------------------------------------------------------