%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : GRP334-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n010.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 22:27:11 EDT 2022

% Result   : Unsatisfiable 0.17s 0.44s
% Output   : Proof 0.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : GRP334-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.11  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.10/0.32  % Computer : n010.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.16/0.32  % WCLimit  : 300
% 0.16/0.32  % DateTime : Wed Aug 31 16:10:58 EDT 2022
% 0.16/0.32  % CPUTime  : 
% 0.16/0.32  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.16/0.32  Usage: tptp [options] [-file:]file
% 0.16/0.32    -h, -?       prints this message.
% 0.16/0.32    -smt2        print SMT-LIB2 benchmark.
% 0.16/0.32    -m, -model   generate model.
% 0.16/0.32    -p, -proof   generate proof.
% 0.16/0.32    -c, -core    generate unsat core of named formulas.
% 0.16/0.32    -st, -statistics display statistics.
% 0.16/0.32    -t:timeout   set timeout (in second).
% 0.16/0.32    -smt2status  display status in smt2 format instead of SZS.
% 0.16/0.32    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.16/0.32    -<param>:<value> configuration parameter and value.
% 0.16/0.32    -o:<output-file> file to place output in.
% 0.17/0.44  % SZS status Unsatisfiable
% 0.17/0.44  % SZS output start Proof
% 0.17/0.44  tff(sk_c7_type, type, (
% 0.17/0.44     sk_c7: $i)).
% 0.17/0.44  tff(multiply_type, type, (
% 0.17/0.44     multiply: ( $i * $i ) > $i)).
% 0.17/0.44  tff(sk_c6_type, type, (
% 0.17/0.44     sk_c6: $i)).
% 0.17/0.44  tff(sk_c1_type, type, (
% 0.17/0.44     sk_c1: $i)).
% 0.17/0.44  tff(identity_type, type, (
% 0.17/0.44     identity: $i)).
% 0.17/0.44  tff(inverse_type, type, (
% 0.17/0.44     inverse: $i > $i)).
% 0.17/0.44  tff(sk_c5_type, type, (
% 0.17/0.44     sk_c5: $i)).
% 0.17/0.44  tff(sk_c2_type, type, (
% 0.17/0.44     sk_c2: $i)).
% 0.17/0.44  tff(sk_c3_type, type, (
% 0.17/0.44     sk_c3: $i)).
% 0.17/0.44  tff(sk_c4_type, type, (
% 0.17/0.44     sk_c4: $i)).
% 0.17/0.44  tff(1,plain,
% 0.17/0.44      (^[X: $i] : refl((multiply(identity, X) = X) <=> (multiply(identity, X) = X))),
% 0.17/0.44      inference(bind,[status(th)],[])).
% 0.17/0.44  tff(2,plain,
% 0.17/0.44      (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 0.17/0.44      inference(quant_intro,[status(thm)],[1])).
% 0.17/0.44  tff(3,plain,
% 0.17/0.44      (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 0.17/0.44      inference(rewrite,[status(thm)],[])).
% 0.17/0.44  tff(4,axiom,(![X: $i] : (multiply(identity, X) = X)), file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax','left_identity')).
% 0.17/0.44  tff(5,plain,
% 0.17/0.44      (![X: $i] : (multiply(identity, X) = X)),
% 0.17/0.44      inference(modus_ponens,[status(thm)],[4, 3])).
% 0.17/0.44  tff(6,plain,(
% 0.17/0.44      ![X: $i] : (multiply(identity, X) = X)),
% 0.17/0.44      inference(skolemize,[status(sab)],[5])).
% 0.17/0.44  tff(7,plain,
% 0.17/0.44      (![X: $i] : (multiply(identity, X) = X)),
% 0.17/0.44      inference(modus_ponens,[status(thm)],[6, 2])).
% 0.17/0.44  tff(8,plain,
% 0.17/0.44      ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c7) = sk_c7)),
% 0.17/0.44      inference(quant_inst,[status(thm)],[])).
% 0.17/0.44  tff(9,plain,
% 0.17/0.44      (multiply(identity, sk_c7) = sk_c7),
% 0.17/0.44      inference(unit_resolution,[status(thm)],[8, 7])).
% 0.17/0.44  tff(10,assumption,(~(inverse(sk_c6) = multiply(sk_c6, sk_c7))), introduced(assumption)).
% 0.17/0.44  tff(11,plain,
% 0.17/0.44      (((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c6) = multiply(sk_c6, sk_c7))) <=> ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c6) = multiply(sk_c6, sk_c7)))),
% 0.17/0.44      inference(rewrite,[status(thm)],[])).
% 0.17/0.44  tff(12,plain,
% 0.17/0.44      ((inverse(sk_c6) = sk_c5) <=> (inverse(sk_c6) = multiply(sk_c6, sk_c7))),
% 0.17/0.44      inference(rewrite,[status(thm)],[])).
% 0.17/0.44  tff(13,plain,
% 0.17/0.44      (((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c6) = sk_c5)) <=> ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c6) = multiply(sk_c6, sk_c7)))),
% 0.17/0.44      inference(monotonicity,[status(thm)],[12])).
% 0.17/0.44  tff(14,plain,
% 0.17/0.44      (((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c6) = sk_c5)) <=> ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c6) = multiply(sk_c6, sk_c7)))),
% 0.17/0.44      inference(transitivity,[status(thm)],[13, 11])).
% 0.17/0.44  tff(15,plain,
% 0.17/0.44      (((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c6) = sk_c5)) <=> ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c6) = sk_c5))),
% 0.17/0.44      inference(rewrite,[status(thm)],[])).
% 0.17/0.44  tff(16,axiom,((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c6) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_2')).
% 0.17/0.44  tff(17,plain,
% 0.17/0.44      ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c6) = sk_c5)),
% 0.17/0.44      inference(modus_ponens,[status(thm)],[16, 15])).
% 0.17/0.44  tff(18,plain,
% 0.17/0.44      ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c6) = sk_c5)),
% 0.17/0.44      inference(modus_ponens,[status(thm)],[17, 15])).
% 0.17/0.44  tff(19,plain,
% 0.17/0.44      ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c6) = sk_c5)),
% 0.17/0.44      inference(modus_ponens,[status(thm)],[18, 15])).
% 0.17/0.44  tff(20,plain,
% 0.17/0.44      ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c6) = sk_c5)),
% 0.17/0.44      inference(modus_ponens,[status(thm)],[19, 15])).
% 0.17/0.44  tff(21,plain,
% 0.17/0.44      ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c6) = sk_c5)),
% 0.17/0.44      inference(modus_ponens,[status(thm)],[20, 15])).
% 0.17/0.44  tff(22,plain,
% 0.17/0.44      ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c6) = multiply(sk_c6, sk_c7))),
% 0.17/0.44      inference(modus_ponens,[status(thm)],[21, 14])).
% 0.17/0.44  tff(23,plain,
% 0.17/0.44      ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c6) = multiply(sk_c6, sk_c7))),
% 0.17/0.44      inference(modus_ponens,[status(thm)],[22, 11])).
% 0.17/0.44  tff(24,plain,
% 0.17/0.44      ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c6) = multiply(sk_c6, sk_c7))),
% 0.17/0.44      inference(modus_ponens,[status(thm)],[23, 11])).
% 0.17/0.44  tff(25,plain,
% 0.17/0.44      ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c6) = multiply(sk_c6, sk_c7))),
% 0.17/0.44      inference(modus_ponens,[status(thm)],[24, 11])).
% 0.17/0.44  tff(26,plain,
% 0.17/0.44      ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c6) = multiply(sk_c6, sk_c7))),
% 0.17/0.44      inference(modus_ponens,[status(thm)],[25, 11])).
% 0.17/0.44  tff(27,plain,
% 0.17/0.44      (multiply(sk_c1, sk_c6) = sk_c7),
% 0.17/0.44      inference(unit_resolution,[status(thm)],[26, 10])).
% 0.17/0.44  tff(28,plain,
% 0.17/0.44      (sk_c7 = multiply(sk_c1, sk_c6)),
% 0.17/0.44      inference(symmetry,[status(thm)],[27])).
% 0.17/0.44  tff(29,plain,
% 0.17/0.44      (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c1, sk_c6))),
% 0.17/0.44      inference(monotonicity,[status(thm)],[28])).
% 0.17/0.44  tff(30,plain,
% 0.17/0.44      (multiply(sk_c6, multiply(sk_c1, sk_c6)) = multiply(sk_c6, sk_c7)),
% 0.17/0.44      inference(symmetry,[status(thm)],[29])).
% 0.17/0.44  tff(31,plain,
% 0.17/0.44      (^[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))))),
% 0.17/0.44      inference(bind,[status(th)],[])).
% 0.17/0.44  tff(32,plain,
% 0.17/0.44      (![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)))),
% 0.17/0.44      inference(quant_intro,[status(thm)],[31])).
% 0.17/0.44  tff(33,plain,
% 0.17/0.44      (![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)))),
% 0.17/0.44      inference(rewrite,[status(thm)],[])).
% 0.17/0.44  tff(34,axiom,(![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))), file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax','associativity')).
% 0.17/0.44  tff(35,plain,
% 0.17/0.44      (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.17/0.44      inference(modus_ponens,[status(thm)],[34, 33])).
% 0.17/0.44  tff(36,plain,(
% 0.17/0.44      ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.17/0.44      inference(skolemize,[status(sab)],[35])).
% 0.17/0.44  tff(37,plain,
% 0.17/0.44      (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.17/0.44      inference(modus_ponens,[status(thm)],[36, 32])).
% 0.17/0.44  tff(38,plain,
% 0.17/0.44      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c1), sk_c6) = multiply(sk_c6, multiply(sk_c1, sk_c6)))),
% 0.17/0.44      inference(quant_inst,[status(thm)],[])).
% 0.17/0.44  tff(39,plain,
% 0.17/0.44      (multiply(multiply(sk_c6, sk_c1), sk_c6) = multiply(sk_c6, multiply(sk_c1, sk_c6))),
% 0.17/0.44      inference(unit_resolution,[status(thm)],[38, 37])).
% 0.17/0.44  tff(40,plain,
% 0.17/0.44      (^[X: $i] : refl((multiply(inverse(X), X) = identity) <=> (multiply(inverse(X), X) = identity))),
% 0.17/0.44      inference(bind,[status(th)],[])).
% 0.17/0.44  tff(41,plain,
% 0.17/0.44      (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.17/0.44      inference(quant_intro,[status(thm)],[40])).
% 0.17/0.44  tff(42,plain,
% 0.17/0.44      (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.17/0.44      inference(rewrite,[status(thm)],[])).
% 0.17/0.44  tff(43,axiom,(![X: $i] : (multiply(inverse(X), X) = identity)), file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax','left_inverse')).
% 0.17/0.44  tff(44,plain,
% 0.17/0.44      (![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.17/0.44      inference(modus_ponens,[status(thm)],[43, 42])).
% 0.17/0.44  tff(45,plain,(
% 0.17/0.44      ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.17/0.44      inference(skolemize,[status(sab)],[44])).
% 0.17/0.44  tff(46,plain,
% 0.17/0.44      (![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.17/0.44      inference(modus_ponens,[status(thm)],[45, 41])).
% 0.17/0.44  tff(47,plain,
% 0.17/0.44      ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c1), sk_c1) = identity)),
% 0.17/0.44      inference(quant_inst,[status(thm)],[])).
% 0.17/0.44  tff(48,plain,
% 0.17/0.44      (multiply(inverse(sk_c1), sk_c1) = identity),
% 0.17/0.44      inference(unit_resolution,[status(thm)],[47, 46])).
% 0.17/0.44  tff(49,plain,
% 0.17/0.44      (((inverse(sk_c1) = sk_c6) | (inverse(sk_c6) = sk_c5)) <=> ((inverse(sk_c1) = sk_c6) | (inverse(sk_c6) = multiply(sk_c6, sk_c7)))),
% 0.17/0.44      inference(rewrite,[status(thm)],[])).
% 0.17/0.44  tff(50,plain,
% 0.17/0.44      (((inverse(sk_c1) = sk_c6) | (inverse(sk_c6) = sk_c5)) <=> ((inverse(sk_c1) = sk_c6) | (inverse(sk_c6) = sk_c5))),
% 0.17/0.44      inference(rewrite,[status(thm)],[])).
% 0.17/0.44  tff(51,axiom,((inverse(sk_c1) = sk_c6) | (inverse(sk_c6) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_7')).
% 0.17/0.44  tff(52,plain,
% 0.17/0.44      ((inverse(sk_c1) = sk_c6) | (inverse(sk_c6) = sk_c5)),
% 0.17/0.44      inference(modus_ponens,[status(thm)],[51, 50])).
% 0.17/0.44  tff(53,plain,
% 0.17/0.44      ((inverse(sk_c1) = sk_c6) | (inverse(sk_c6) = multiply(sk_c6, sk_c7))),
% 0.17/0.44      inference(modus_ponens,[status(thm)],[52, 49])).
% 0.17/0.44  tff(54,plain,
% 0.17/0.44      (inverse(sk_c1) = sk_c6),
% 0.17/0.44      inference(unit_resolution,[status(thm)],[53, 10])).
% 0.17/0.44  tff(55,plain,
% 0.17/0.44      (sk_c6 = inverse(sk_c1)),
% 0.17/0.44      inference(symmetry,[status(thm)],[54])).
% 0.17/0.44  tff(56,plain,
% 0.17/0.44      (multiply(sk_c6, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 0.17/0.44      inference(monotonicity,[status(thm)],[55])).
% 0.17/0.44  tff(57,plain,
% 0.17/0.44      (multiply(sk_c6, sk_c1) = identity),
% 0.17/0.44      inference(transitivity,[status(thm)],[56, 48])).
% 0.17/0.44  tff(58,plain,
% 0.17/0.44      (multiply(multiply(sk_c6, sk_c1), sk_c6) = multiply(identity, sk_c6)),
% 0.17/0.44      inference(monotonicity,[status(thm)],[57])).
% 0.17/0.44  tff(59,plain,
% 0.17/0.44      (multiply(identity, sk_c6) = multiply(multiply(sk_c6, sk_c1), sk_c6)),
% 0.17/0.44      inference(symmetry,[status(thm)],[58])).
% 0.17/0.44  tff(60,plain,
% 0.17/0.44      ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c6) = sk_c6)),
% 0.17/0.44      inference(quant_inst,[status(thm)],[])).
% 0.17/0.44  tff(61,plain,
% 0.17/0.44      (multiply(identity, sk_c6) = sk_c6),
% 0.17/0.44      inference(unit_resolution,[status(thm)],[60, 7])).
% 0.17/0.44  tff(62,plain,
% 0.17/0.44      (sk_c6 = multiply(identity, sk_c6)),
% 0.17/0.44      inference(symmetry,[status(thm)],[61])).
% 0.17/0.44  tff(63,plain,
% 0.17/0.44      (((inverse(sk_c2) = sk_c6) | (inverse(sk_c6) = sk_c5)) <=> ((inverse(sk_c2) = sk_c6) | (inverse(sk_c6) = multiply(sk_c6, sk_c7)))),
% 0.17/0.44      inference(rewrite,[status(thm)],[])).
% 0.17/0.44  tff(64,plain,
% 0.17/0.44      (((inverse(sk_c2) = sk_c6) | (inverse(sk_c6) = sk_c5)) <=> ((inverse(sk_c2) = sk_c6) | (inverse(sk_c6) = sk_c5))),
% 0.17/0.44      inference(rewrite,[status(thm)],[])).
% 0.17/0.44  tff(65,axiom,((inverse(sk_c2) = sk_c6) | (inverse(sk_c6) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_12')).
% 0.17/0.44  tff(66,plain,
% 0.17/0.44      ((inverse(sk_c2) = sk_c6) | (inverse(sk_c6) = sk_c5)),
% 0.17/0.44      inference(modus_ponens,[status(thm)],[65, 64])).
% 0.17/0.44  tff(67,plain,
% 0.17/0.44      ((inverse(sk_c2) = sk_c6) | (inverse(sk_c6) = multiply(sk_c6, sk_c7))),
% 0.17/0.44      inference(modus_ponens,[status(thm)],[66, 63])).
% 0.17/0.44  tff(68,plain,
% 0.17/0.44      (inverse(sk_c2) = sk_c6),
% 0.17/0.44      inference(unit_resolution,[status(thm)],[67, 10])).
% 0.17/0.44  tff(69,plain,
% 0.17/0.44      ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c2) = sk_c2)),
% 0.17/0.44      inference(quant_inst,[status(thm)],[])).
% 0.17/0.44  tff(70,plain,
% 0.17/0.44      (multiply(identity, sk_c2) = sk_c2),
% 0.17/0.44      inference(unit_resolution,[status(thm)],[69, 7])).
% 0.17/0.44  tff(71,plain,
% 0.17/0.44      (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c6, sk_c1)),
% 0.17/0.44      inference(symmetry,[status(thm)],[56])).
% 0.17/0.44  tff(72,plain,
% 0.17/0.44      (identity = multiply(inverse(sk_c1), sk_c1)),
% 0.17/0.44      inference(symmetry,[status(thm)],[48])).
% 0.17/0.44  tff(73,plain,
% 0.17/0.44      (identity = multiply(sk_c6, sk_c1)),
% 0.17/0.44      inference(transitivity,[status(thm)],[72, 71])).
% 0.17/0.44  tff(74,plain,
% 0.17/0.44      (multiply(identity, sk_c2) = multiply(multiply(sk_c6, sk_c1), sk_c2)),
% 0.17/0.44      inference(monotonicity,[status(thm)],[73])).
% 0.17/0.44  tff(75,plain,
% 0.17/0.44      (multiply(multiply(sk_c6, sk_c1), sk_c2) = multiply(identity, sk_c2)),
% 0.17/0.44      inference(symmetry,[status(thm)],[74])).
% 0.17/0.44  tff(76,plain,
% 0.17/0.44      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c1), sk_c2) = multiply(sk_c6, multiply(sk_c1, sk_c2)))),
% 0.17/0.44      inference(quant_inst,[status(thm)],[])).
% 0.17/0.44  tff(77,plain,
% 0.17/0.44      (multiply(multiply(sk_c6, sk_c1), sk_c2) = multiply(sk_c6, multiply(sk_c1, sk_c2))),
% 0.17/0.44      inference(unit_resolution,[status(thm)],[76, 37])).
% 0.17/0.44  tff(78,plain,
% 0.17/0.44      (multiply(sk_c6, multiply(sk_c1, sk_c2)) = multiply(multiply(sk_c6, sk_c1), sk_c2)),
% 0.17/0.44      inference(symmetry,[status(thm)],[77])).
% 0.17/0.44  tff(79,plain,
% 0.17/0.44      (sk_c6 = multiply(sk_c6, sk_c7)),
% 0.17/0.44      inference(transitivity,[status(thm)],[62, 59, 39, 30])).
% 0.17/0.44  tff(80,plain,
% 0.17/0.44      (multiply(sk_c2, sk_c6) = multiply(sk_c2, multiply(sk_c6, sk_c7))),
% 0.17/0.44      inference(monotonicity,[status(thm)],[79])).
% 0.17/0.44  tff(81,plain,
% 0.17/0.44      (multiply(sk_c2, multiply(sk_c6, sk_c7)) = multiply(sk_c2, sk_c6)),
% 0.17/0.44      inference(symmetry,[status(thm)],[80])).
% 0.17/0.44  tff(82,plain,
% 0.17/0.44      (((inverse(sk_c6) = sk_c5) | (multiply(sk_c2, sk_c5) = sk_c6)) <=> ((inverse(sk_c6) = multiply(sk_c6, sk_c7)) | (multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6))),
% 0.17/0.44      inference(rewrite,[status(thm)],[])).
% 0.17/0.44  tff(83,plain,
% 0.17/0.44      (((inverse(sk_c6) = sk_c5) | (multiply(sk_c2, sk_c5) = sk_c6)) <=> ((inverse(sk_c6) = sk_c5) | (multiply(sk_c2, sk_c5) = sk_c6))),
% 0.17/0.44      inference(rewrite,[status(thm)],[])).
% 0.17/0.44  tff(84,plain,
% 0.17/0.44      (((multiply(sk_c2, sk_c5) = sk_c6) | (inverse(sk_c6) = sk_c5)) <=> ((inverse(sk_c6) = sk_c5) | (multiply(sk_c2, sk_c5) = sk_c6))),
% 0.17/0.44      inference(rewrite,[status(thm)],[])).
% 0.17/0.44  tff(85,axiom,((multiply(sk_c2, sk_c5) = sk_c6) | (inverse(sk_c6) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_17')).
% 0.17/0.44  tff(86,plain,
% 0.17/0.44      ((inverse(sk_c6) = sk_c5) | (multiply(sk_c2, sk_c5) = sk_c6)),
% 0.17/0.44      inference(modus_ponens,[status(thm)],[85, 84])).
% 0.17/0.44  tff(87,plain,
% 0.17/0.44      ((inverse(sk_c6) = sk_c5) | (multiply(sk_c2, sk_c5) = sk_c6)),
% 0.17/0.44      inference(modus_ponens,[status(thm)],[86, 83])).
% 0.17/0.44  tff(88,plain,
% 0.17/0.44      ((inverse(sk_c6) = multiply(sk_c6, sk_c7)) | (multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6)),
% 0.17/0.44      inference(modus_ponens,[status(thm)],[87, 82])).
% 0.17/0.44  tff(89,plain,
% 0.17/0.44      (multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6),
% 0.17/0.44      inference(unit_resolution,[status(thm)],[88, 10])).
% 0.17/0.44  tff(90,plain,
% 0.17/0.44      (sk_c6 = multiply(sk_c2, multiply(sk_c6, sk_c7))),
% 0.17/0.44      inference(symmetry,[status(thm)],[89])).
% 0.17/0.44  tff(91,plain,
% 0.17/0.44      (sk_c6 = multiply(sk_c2, sk_c6)),
% 0.17/0.44      inference(transitivity,[status(thm)],[90, 81])).
% 0.17/0.44  tff(92,plain,
% 0.17/0.44      (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(sk_c2, sk_c6))),
% 0.17/0.44      inference(monotonicity,[status(thm)],[91])).
% 0.17/0.44  tff(93,plain,
% 0.17/0.44      (multiply(sk_c6, multiply(sk_c2, sk_c6)) = multiply(sk_c6, sk_c6)),
% 0.17/0.44      inference(symmetry,[status(thm)],[92])).
% 0.17/0.44  tff(94,plain,
% 0.17/0.44      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c2), sk_c6) = multiply(sk_c6, multiply(sk_c2, sk_c6)))),
% 0.17/0.44      inference(quant_inst,[status(thm)],[])).
% 0.17/0.44  tff(95,plain,
% 0.17/0.44      (multiply(multiply(sk_c6, sk_c2), sk_c6) = multiply(sk_c6, multiply(sk_c2, sk_c6))),
% 0.17/0.44      inference(unit_resolution,[status(thm)],[94, 37])).
% 0.17/0.44  tff(96,plain,
% 0.17/0.44      ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c2), sk_c2) = identity)),
% 0.17/0.44      inference(quant_inst,[status(thm)],[])).
% 0.17/0.44  tff(97,plain,
% 0.17/0.44      (multiply(inverse(sk_c2), sk_c2) = identity),
% 0.17/0.44      inference(unit_resolution,[status(thm)],[96, 46])).
% 0.17/0.44  tff(98,plain,
% 0.17/0.44      (sk_c6 = inverse(sk_c2)),
% 0.17/0.44      inference(symmetry,[status(thm)],[68])).
% 0.17/0.44  tff(99,plain,
% 0.17/0.44      (multiply(sk_c6, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 0.17/0.44      inference(monotonicity,[status(thm)],[98])).
% 0.17/0.44  tff(100,plain,
% 0.17/0.44      (multiply(sk_c6, sk_c2) = multiply(sk_c6, sk_c1)),
% 0.17/0.44      inference(transitivity,[status(thm)],[99, 97, 72, 71])).
% 0.17/0.44  tff(101,plain,
% 0.17/0.44      (multiply(multiply(sk_c6, sk_c2), sk_c6) = multiply(multiply(sk_c6, sk_c1), sk_c6)),
% 0.17/0.44      inference(monotonicity,[status(thm)],[100])).
% 0.17/0.44  tff(102,plain,
% 0.17/0.44      (multiply(multiply(sk_c6, sk_c1), sk_c6) = multiply(multiply(sk_c6, sk_c2), sk_c6)),
% 0.17/0.44      inference(symmetry,[status(thm)],[101])).
% 0.17/0.44  tff(103,plain,
% 0.17/0.44      (sk_c6 = multiply(sk_c6, sk_c6)),
% 0.17/0.44      inference(transitivity,[status(thm)],[62, 59, 102, 95, 93])).
% 0.17/0.44  tff(104,plain,
% 0.17/0.44      (multiply(sk_c6, multiply(sk_c1, sk_c2)) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c1, sk_c2))),
% 0.17/0.44      inference(monotonicity,[status(thm)],[103])).
% 0.17/0.44  tff(105,plain,
% 0.17/0.44      (multiply(multiply(sk_c6, sk_c6), multiply(sk_c1, sk_c2)) = multiply(sk_c6, multiply(sk_c1, sk_c2))),
% 0.17/0.44      inference(symmetry,[status(thm)],[104])).
% 0.17/0.44  tff(106,plain,
% 0.17/0.44      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c6), multiply(sk_c1, sk_c2)) = multiply(sk_c6, multiply(sk_c6, multiply(sk_c1, sk_c2))))),
% 0.17/0.44      inference(quant_inst,[status(thm)],[])).
% 0.17/0.44  tff(107,plain,
% 0.17/0.44      (multiply(multiply(sk_c6, sk_c6), multiply(sk_c1, sk_c2)) = multiply(sk_c6, multiply(sk_c6, multiply(sk_c1, sk_c2)))),
% 0.17/0.44      inference(unit_resolution,[status(thm)],[106, 37])).
% 0.17/0.44  tff(108,plain,
% 0.17/0.44      (multiply(sk_c6, multiply(sk_c6, multiply(sk_c1, sk_c2))) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c1, sk_c2))),
% 0.17/0.45      inference(symmetry,[status(thm)],[107])).
% 0.17/0.45  tff(109,plain,
% 0.17/0.45      (multiply(sk_c6, multiply(sk_c1, sk_c2)) = sk_c2),
% 0.17/0.45      inference(transitivity,[status(thm)],[78, 75, 70])).
% 0.17/0.45  tff(110,plain,
% 0.17/0.45      (multiply(sk_c6, multiply(sk_c6, multiply(sk_c1, sk_c2))) = multiply(inverse(sk_c2), sk_c2)),
% 0.17/0.45      inference(monotonicity,[status(thm)],[98, 109])).
% 0.17/0.45  tff(111,plain,
% 0.17/0.45      (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c6, multiply(sk_c6, multiply(sk_c1, sk_c2)))),
% 0.17/0.45      inference(symmetry,[status(thm)],[110])).
% 0.17/0.45  tff(112,plain,
% 0.17/0.45      (identity = multiply(inverse(sk_c2), sk_c2)),
% 0.17/0.45      inference(symmetry,[status(thm)],[97])).
% 0.17/0.45  tff(113,plain,
% 0.17/0.45      ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c6), sk_c6) = identity)),
% 0.17/0.45      inference(quant_inst,[status(thm)],[])).
% 0.17/0.45  tff(114,plain,
% 0.17/0.45      (multiply(inverse(sk_c6), sk_c6) = identity),
% 0.17/0.45      inference(unit_resolution,[status(thm)],[113, 46])).
% 0.17/0.45  tff(115,plain,
% 0.17/0.45      (multiply(inverse(sk_c6), sk_c6) = multiply(inverse(sk_c6), multiply(sk_c6, sk_c6))),
% 0.17/0.45      inference(monotonicity,[status(thm)],[103])).
% 0.17/0.45  tff(116,plain,
% 0.17/0.45      (multiply(inverse(sk_c6), multiply(sk_c6, sk_c6)) = multiply(inverse(sk_c6), sk_c6)),
% 0.17/0.45      inference(symmetry,[status(thm)],[115])).
% 0.17/0.45  tff(117,plain,
% 0.17/0.45      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c6), sk_c6), sk_c6) = multiply(inverse(sk_c6), multiply(sk_c6, sk_c6)))),
% 0.17/0.45      inference(quant_inst,[status(thm)],[])).
% 0.17/0.45  tff(118,plain,
% 0.17/0.45      (multiply(multiply(inverse(sk_c6), sk_c6), sk_c6) = multiply(inverse(sk_c6), multiply(sk_c6, sk_c6))),
% 0.17/0.45      inference(unit_resolution,[status(thm)],[117, 37])).
% 0.17/0.45  tff(119,plain,
% 0.17/0.45      (multiply(inverse(sk_c6), sk_c6) = multiply(sk_c6, sk_c1)),
% 0.17/0.45      inference(transitivity,[status(thm)],[114, 72, 71])).
% 0.17/0.45  tff(120,plain,
% 0.17/0.45      (multiply(multiply(inverse(sk_c6), sk_c6), sk_c6) = multiply(multiply(sk_c6, sk_c1), sk_c6)),
% 0.17/0.45      inference(monotonicity,[status(thm)],[119])).
% 0.17/0.45  tff(121,plain,
% 0.17/0.45      (multiply(multiply(sk_c6, sk_c1), sk_c6) = multiply(multiply(inverse(sk_c6), sk_c6), sk_c6)),
% 0.17/0.45      inference(symmetry,[status(thm)],[120])).
% 0.17/0.45  tff(122,plain,
% 0.17/0.45      (sk_c6 = sk_c2),
% 0.17/0.45      inference(transitivity,[status(thm)],[62, 59, 121, 118, 116, 114, 112, 111, 108, 105, 78, 75, 70])).
% 0.17/0.45  tff(123,plain,
% 0.17/0.45      (inverse(sk_c6) = inverse(sk_c2)),
% 0.17/0.45      inference(monotonicity,[status(thm)],[122])).
% 0.17/0.45  tff(124,plain,
% 0.17/0.45      (inverse(sk_c6) = multiply(sk_c6, sk_c7)),
% 0.17/0.45      inference(transitivity,[status(thm)],[123, 68, 62, 59, 39, 30])).
% 0.17/0.45  tff(125,plain,
% 0.17/0.45      ($false),
% 0.17/0.45      inference(unit_resolution,[status(thm)],[10, 124])).
% 0.17/0.45  tff(126,plain,(inverse(sk_c6) = multiply(sk_c6, sk_c7)), inference(lemma,lemma(discharge,[]))).
% 0.17/0.45  tff(127,assumption,(~(inverse(sk_c1) = sk_c6)), introduced(assumption)).
% 0.17/0.45  tff(128,plain,
% 0.17/0.45      (((inverse(sk_c1) = sk_c6) | (inverse(sk_c7) = sk_c5)) <=> ((inverse(sk_c1) = sk_c6) | (inverse(sk_c7) = multiply(sk_c6, sk_c7)))),
% 0.17/0.45      inference(rewrite,[status(thm)],[])).
% 0.17/0.45  tff(129,plain,
% 0.17/0.45      (((inverse(sk_c1) = sk_c6) | (inverse(sk_c7) = sk_c5)) <=> ((inverse(sk_c1) = sk_c6) | (inverse(sk_c7) = sk_c5))),
% 0.17/0.45      inference(rewrite,[status(thm)],[])).
% 0.17/0.45  tff(130,axiom,((inverse(sk_c1) = sk_c6) | (inverse(sk_c7) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_8')).
% 0.17/0.45  tff(131,plain,
% 0.17/0.45      ((inverse(sk_c1) = sk_c6) | (inverse(sk_c7) = sk_c5)),
% 0.17/0.45      inference(modus_ponens,[status(thm)],[130, 129])).
% 0.17/0.45  tff(132,plain,
% 0.17/0.45      ((inverse(sk_c1) = sk_c6) | (inverse(sk_c7) = multiply(sk_c6, sk_c7))),
% 0.17/0.45      inference(modus_ponens,[status(thm)],[131, 128])).
% 0.17/0.45  tff(133,plain,
% 0.17/0.45      (inverse(sk_c7) = multiply(sk_c6, sk_c7)),
% 0.17/0.45      inference(unit_resolution,[status(thm)],[132, 127])).
% 0.17/0.45  tff(134,plain,
% 0.17/0.45      (multiply(sk_c6, sk_c7) = inverse(sk_c7)),
% 0.17/0.45      inference(symmetry,[status(thm)],[133])).
% 0.17/0.45  tff(135,plain,
% 0.17/0.45      (((inverse(sk_c1) = sk_c6) | (inverse(sk_c3) = sk_c6)) <=> ((inverse(sk_c1) = sk_c6) | (inverse(sk_c3) = sk_c6))),
% 0.17/0.45      inference(rewrite,[status(thm)],[])).
% 0.17/0.45  tff(136,axiom,((inverse(sk_c1) = sk_c6) | (inverse(sk_c3) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_11')).
% 0.17/0.45  tff(137,plain,
% 0.17/0.45      ((inverse(sk_c1) = sk_c6) | (inverse(sk_c3) = sk_c6)),
% 0.17/0.45      inference(modus_ponens,[status(thm)],[136, 135])).
% 0.17/0.45  tff(138,plain,
% 0.17/0.45      (inverse(sk_c3) = sk_c6),
% 0.17/0.45      inference(unit_resolution,[status(thm)],[137, 127])).
% 0.17/0.45  tff(139,plain,
% 0.17/0.45      (sk_c6 = inverse(sk_c3)),
% 0.17/0.45      inference(symmetry,[status(thm)],[138])).
% 0.17/0.45  tff(140,plain,
% 0.17/0.45      (multiply(sk_c6, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 0.17/0.45      inference(monotonicity,[status(thm)],[139])).
% 0.17/0.45  tff(141,plain,
% 0.17/0.45      (multiply(inverse(sk_c3), sk_c3) = multiply(sk_c6, sk_c3)),
% 0.17/0.45      inference(symmetry,[status(thm)],[140])).
% 0.17/0.45  tff(142,plain,
% 0.17/0.45      ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c3), sk_c3) = identity)),
% 0.17/0.45      inference(quant_inst,[status(thm)],[])).
% 0.17/0.45  tff(143,plain,
% 0.17/0.45      (multiply(inverse(sk_c3), sk_c3) = identity),
% 0.17/0.45      inference(unit_resolution,[status(thm)],[142, 46])).
% 0.17/0.45  tff(144,plain,
% 0.17/0.45      (identity = multiply(inverse(sk_c3), sk_c3)),
% 0.17/0.45      inference(symmetry,[status(thm)],[143])).
% 0.17/0.45  tff(145,plain,
% 0.17/0.45      (identity = multiply(sk_c6, sk_c3)),
% 0.17/0.45      inference(transitivity,[status(thm)],[144, 141])).
% 0.17/0.45  tff(146,plain,
% 0.17/0.45      (multiply(identity, sk_c6) = multiply(multiply(sk_c6, sk_c3), sk_c6)),
% 0.17/0.45      inference(monotonicity,[status(thm)],[145])).
% 0.17/0.45  tff(147,plain,
% 0.17/0.45      (multiply(multiply(sk_c6, sk_c3), sk_c6) = multiply(identity, sk_c6)),
% 0.17/0.45      inference(symmetry,[status(thm)],[146])).
% 0.17/0.45  tff(148,plain,
% 0.17/0.45      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c3), sk_c6) = multiply(sk_c6, multiply(sk_c3, sk_c6)))),
% 0.17/0.45      inference(quant_inst,[status(thm)],[])).
% 0.17/0.45  tff(149,plain,
% 0.17/0.45      (multiply(multiply(sk_c6, sk_c3), sk_c6) = multiply(sk_c6, multiply(sk_c3, sk_c6))),
% 0.17/0.45      inference(unit_resolution,[status(thm)],[148, 37])).
% 0.17/0.45  tff(150,plain,
% 0.17/0.45      (multiply(sk_c6, multiply(sk_c3, sk_c6)) = multiply(multiply(sk_c6, sk_c3), sk_c6)),
% 0.17/0.45      inference(symmetry,[status(thm)],[149])).
% 0.17/0.45  tff(151,plain,
% 0.17/0.45      (((inverse(sk_c1) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c4)) <=> ((inverse(sk_c1) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c4))),
% 0.17/0.45      inference(rewrite,[status(thm)],[])).
% 0.17/0.45  tff(152,axiom,((inverse(sk_c1) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_10')).
% 0.17/0.45  tff(153,plain,
% 0.17/0.45      ((inverse(sk_c1) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c4)),
% 0.17/0.45      inference(modus_ponens,[status(thm)],[152, 151])).
% 0.17/0.45  tff(154,plain,
% 0.17/0.45      (multiply(sk_c3, sk_c6) = sk_c4),
% 0.17/0.45      inference(unit_resolution,[status(thm)],[153, 127])).
% 0.17/0.45  tff(155,plain,
% 0.17/0.45      (multiply(sk_c6, multiply(sk_c3, sk_c6)) = multiply(sk_c6, sk_c4)),
% 0.17/0.45      inference(monotonicity,[status(thm)],[154])).
% 0.17/0.45  tff(156,plain,
% 0.17/0.45      (multiply(sk_c6, sk_c4) = multiply(sk_c6, multiply(sk_c3, sk_c6))),
% 0.17/0.45      inference(symmetry,[status(thm)],[155])).
% 0.17/0.45  tff(157,plain,
% 0.17/0.45      (((inverse(sk_c1) = sk_c6) | (multiply(sk_c6, sk_c4) = sk_c5)) <=> ((inverse(sk_c1) = sk_c6) | (multiply(sk_c6, sk_c4) = multiply(sk_c6, sk_c7)))),
% 0.17/0.45      inference(rewrite,[status(thm)],[])).
% 0.17/0.45  tff(158,plain,
% 0.17/0.45      (((inverse(sk_c1) = sk_c6) | (multiply(sk_c6, sk_c4) = sk_c5)) <=> ((inverse(sk_c1) = sk_c6) | (multiply(sk_c6, sk_c4) = sk_c5))),
% 0.17/0.45      inference(rewrite,[status(thm)],[])).
% 0.17/0.45  tff(159,axiom,((inverse(sk_c1) = sk_c6) | (multiply(sk_c6, sk_c4) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_9')).
% 0.17/0.45  tff(160,plain,
% 0.17/0.45      ((inverse(sk_c1) = sk_c6) | (multiply(sk_c6, sk_c4) = sk_c5)),
% 0.17/0.45      inference(modus_ponens,[status(thm)],[159, 158])).
% 0.17/0.45  tff(161,plain,
% 0.17/0.45      ((inverse(sk_c1) = sk_c6) | (multiply(sk_c6, sk_c4) = multiply(sk_c6, sk_c7))),
% 0.17/0.45      inference(modus_ponens,[status(thm)],[160, 157])).
% 0.17/0.45  tff(162,plain,
% 0.17/0.45      (multiply(sk_c6, sk_c4) = multiply(sk_c6, sk_c7)),
% 0.17/0.45      inference(unit_resolution,[status(thm)],[161, 127])).
% 0.17/0.45  tff(163,plain,
% 0.17/0.45      (multiply(sk_c6, sk_c7) = multiply(sk_c6, sk_c4)),
% 0.17/0.45      inference(symmetry,[status(thm)],[162])).
% 0.17/0.45  tff(164,plain,
% 0.17/0.45      (inverse(sk_c7) = sk_c6),
% 0.17/0.45      inference(transitivity,[status(thm)],[133, 163, 156, 150, 147, 61])).
% 0.17/0.45  tff(165,plain,
% 0.17/0.45      (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c6, sk_c7)),
% 0.17/0.45      inference(monotonicity,[status(thm)],[164])).
% 0.17/0.45  tff(166,plain,
% 0.17/0.45      ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c7), sk_c7) = identity)),
% 0.17/0.45      inference(quant_inst,[status(thm)],[])).
% 0.17/0.45  tff(167,plain,
% 0.17/0.45      (multiply(inverse(sk_c7), sk_c7) = identity),
% 0.17/0.45      inference(unit_resolution,[status(thm)],[166, 46])).
% 0.17/0.45  tff(168,plain,
% 0.17/0.45      (identity = multiply(inverse(sk_c7), sk_c7)),
% 0.17/0.45      inference(symmetry,[status(thm)],[167])).
% 0.17/0.45  tff(169,plain,
% 0.17/0.45      (identity = inverse(sk_c7)),
% 0.17/0.45      inference(transitivity,[status(thm)],[168, 165, 134])).
% 0.17/0.45  tff(170,plain,
% 0.17/0.45      (multiply(identity, sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 0.17/0.45      inference(monotonicity,[status(thm)],[169])).
% 0.17/0.45  tff(171,plain,
% 0.17/0.45      (multiply(inverse(sk_c7), sk_c7) = multiply(identity, sk_c7)),
% 0.17/0.45      inference(symmetry,[status(thm)],[170])).
% 0.17/0.45  tff(172,plain,
% 0.17/0.45      (multiply(sk_c6, sk_c7) = inverse(sk_c6)),
% 0.17/0.45      inference(symmetry,[status(thm)],[126])).
% 0.17/0.45  tff(173,plain,
% 0.17/0.45      (sk_c6 = inverse(sk_c6)),
% 0.17/0.45      inference(transitivity,[status(thm)],[62, 146, 149, 155, 162, 172])).
% 0.17/0.45  tff(174,plain,
% 0.17/0.45      (multiply(sk_c6, sk_c6) = multiply(inverse(sk_c6), sk_c6)),
% 0.17/0.45      inference(monotonicity,[status(thm)],[173])).
% 0.17/0.45  tff(175,plain,
% 0.17/0.45      (multiply(sk_c6, sk_c6) = sk_c7),
% 0.17/0.45      inference(transitivity,[status(thm)],[174, 114, 168, 171, 9])).
% 0.17/0.45  tff(176,plain,
% 0.17/0.45      (multiply(sk_c6, sk_c7) = sk_c6),
% 0.17/0.45      inference(transitivity,[status(thm)],[163, 156, 150, 147, 61])).
% 0.17/0.45  tff(177,plain,
% 0.17/0.45      (multiply(sk_c6, multiply(sk_c6, sk_c7)) = multiply(sk_c6, sk_c6)),
% 0.17/0.45      inference(monotonicity,[status(thm)],[176])).
% 0.17/0.45  tff(178,plain,
% 0.17/0.45      (multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6),
% 0.17/0.45      inference(transitivity,[status(thm)],[177, 174, 114, 168, 165, 163, 156, 150, 147, 61])).
% 0.17/0.45  tff(179,plain,
% 0.17/0.45      (inverse(sk_c6) = sk_c6),
% 0.17/0.45      inference(transitivity,[status(thm)],[126, 163, 156, 150, 147, 61])).
% 0.17/0.45  tff(180,plain,
% 0.17/0.45      (^[X4: $i, X3: $i, X2: $i, X1: $i] : refl(((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6))) <=> ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6))))),
% 0.17/0.45      inference(bind,[status(th)],[])).
% 0.17/0.45  tff(181,plain,
% 0.17/0.45      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 0.17/0.45      inference(quant_intro,[status(thm)],[180])).
% 0.17/0.45  tff(182,plain,
% 0.17/0.45      (^[X4: $i, X3: $i, X2: $i, X1: $i] : trans(monotonicity(rewrite((~(inverse(sk_c6) = sk_c5)) <=> (~(inverse(sk_c6) = multiply(sk_c6, sk_c7)))), rewrite((~(inverse(sk_c7) = sk_c5)) <=> (~(inverse(sk_c7) = multiply(sk_c6, sk_c7)))), rewrite((~(multiply(sk_c6, X1) = sk_c5)) <=> (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7)))), rewrite((~(multiply(X4, sk_c5) = sk_c6)) <=> (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6))), (((~(inverse(sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(multiply(sk_c6, X1) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))) <=> ((~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))))), rewrite(((~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))) <=> ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)))), (((~(inverse(sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(multiply(sk_c6, X1) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))) <=> ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)))))),
% 0.17/0.45      inference(bind,[status(th)],[])).
% 0.17/0.45  tff(183,plain,
% 0.17/0.45      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(multiply(sk_c6, X1) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 0.17/0.45      inference(quant_intro,[status(thm)],[182])).
% 0.17/0.45  tff(184,plain,
% 0.17/0.45      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(multiply(sk_c6, X1) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(multiply(sk_c6, X1) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)))),
% 0.17/0.45      inference(rewrite,[status(thm)],[])).
% 0.17/0.45  tff(185,plain,
% 0.17/0.45      (^[X4: $i, X3: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(multiply(sk_c6, sk_c7) = sk_c5), ((multiply(sk_c6, sk_c7) = sk_c5) <=> $true)), ((~(multiply(sk_c6, sk_c7) = sk_c5)) <=> (~$true))), rewrite((~$true) <=> $false), ((~(multiply(sk_c6, sk_c7) = sk_c5)) <=> $false)), (((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(multiply(sk_c6, X1) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))) <=> ($false | (~(inverse(sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(multiply(sk_c6, X1) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))))), rewrite(($false | (~(inverse(sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(multiply(sk_c6, X1) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))) <=> ((~(inverse(sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(multiply(sk_c6, X1) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)))), (((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(multiply(sk_c6, X1) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))) <=> ((~(inverse(sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(multiply(sk_c6, X1) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)))))),
% 0.17/0.45      inference(bind,[status(th)],[])).
% 0.17/0.45  tff(186,plain,
% 0.17/0.45      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(multiply(sk_c6, X1) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(multiply(sk_c6, X1) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)))),
% 0.17/0.45      inference(quant_intro,[status(thm)],[185])).
% 0.17/0.45  tff(187,plain,
% 0.17/0.45      (^[X4: $i, X3: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X3) = sk_c6))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)))), (((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X3) = sk_c6))) | (~(inverse(X4) = sk_c6))) <=> (((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X4) = sk_c6))))), rewrite((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X4) = sk_c6))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)))), (((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X3) = sk_c6))) | (~(inverse(X4) = sk_c6))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))))), ((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X3) = sk_c6))) | (~(inverse(X4) = sk_c6))) | (~(multiply(X4, sk_c5) = sk_c6))) <=> (((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(multiply(X4, sk_c5) = sk_c6))))), rewrite((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(multiply(X4, sk_c5) = sk_c6))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)))), ((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X3) = sk_c6))) | (~(inverse(X4) = sk_c6))) | (~(multiply(X4, sk_c5) = sk_c6))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))))), (((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X3) = sk_c6))) | (~(inverse(X4) = sk_c6))) | (~(multiply(X4, sk_c5) = sk_c6))) | (~(inverse(sk_c6) = sk_c5))) <=> (((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(sk_c6) = sk_c5))))), rewrite((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(sk_c6) = sk_c5))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)))), (((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X3) = sk_c6))) | (~(inverse(X4) = sk_c6))) | (~(multiply(X4, sk_c5) = sk_c6))) | (~(inverse(sk_c6) = sk_c5))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))))), ((((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X3) = sk_c6))) | (~(inverse(X4) = sk_c6))) | (~(multiply(X4, sk_c5) = sk_c6))) | (~(inverse(sk_c6) = sk_c5))) | (~(inverse(sk_c7) = sk_c5))) <=> (((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))))), rewrite((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)))), ((((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X3) = sk_c6))) | (~(inverse(X4) = sk_c6))) | (~(multiply(X4, sk_c5) = sk_c6))) | (~(inverse(sk_c6) = sk_c5))) | (~(inverse(sk_c7) = sk_c5))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))))), (((((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X3) = sk_c6))) | (~(inverse(X4) = sk_c6))) | (~(multiply(X4, sk_c5) = sk_c6))) | (~(inverse(sk_c6) = sk_c5))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(sk_c6, X1) = sk_c5))) <=> (((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(multiply(sk_c6, X1) = sk_c5))))), rewrite((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(multiply(sk_c6, X1) = sk_c5))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, X1) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)))), (((((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X3) = sk_c6))) | (~(inverse(X4) = sk_c6))) | (~(multiply(X4, sk_c5) = sk_c6))) | (~(inverse(sk_c6) = sk_c5))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(sk_c6, X1) = sk_c5))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, X1) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))))), ((((((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X3) = sk_c6))) | (~(inverse(X4) = sk_c6))) | (~(multiply(X4, sk_c5) = sk_c6))) | (~(inverse(sk_c6) = sk_c5))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(sk_c6, X1) = sk_c5))) | (~(multiply(X2, sk_c6) = X1))) <=> (((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, X1) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(multiply(X2, sk_c6) = X1))))), rewrite((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, X1) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(multiply(X2, sk_c6) = X1))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = X1)) | (~(multiply(sk_c6, X1) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)))), ((((((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X3) = sk_c6))) | (~(inverse(X4) = sk_c6))) | (~(multiply(X4, sk_c5) = sk_c6))) | (~(inverse(sk_c6) = sk_c5))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(sk_c6, X1) = sk_c5))) | (~(multiply(X2, sk_c6) = X1))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = X1)) | (~(multiply(sk_c6, X1) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))))), (((((((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X3) = sk_c6))) | (~(inverse(X4) = sk_c6))) | (~(multiply(X4, sk_c5) = sk_c6))) | (~(inverse(sk_c6) = sk_c5))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(sk_c6, X1) = sk_c5))) | (~(multiply(X2, sk_c6) = X1))) | (~(inverse(X2) = sk_c6))) <=> (((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = X1)) | (~(multiply(sk_c6, X1) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))))), rewrite((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = X1)) | (~(multiply(sk_c6, X1) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(multiply(sk_c6, X1) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)))), (((((((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X3) = sk_c6))) | (~(inverse(X4) = sk_c6))) | (~(multiply(X4, sk_c5) = sk_c6))) | (~(inverse(sk_c6) = sk_c5))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(sk_c6, X1) = sk_c5))) | (~(multiply(X2, sk_c6) = X1))) | (~(inverse(X2) = sk_c6))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(multiply(sk_c6, X1) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)))))),
% 0.17/0.46      inference(bind,[status(th)],[])).
% 0.17/0.46  tff(188,plain,
% 0.17/0.46      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((((((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X3) = sk_c6))) | (~(inverse(X4) = sk_c6))) | (~(multiply(X4, sk_c5) = sk_c6))) | (~(inverse(sk_c6) = sk_c5))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(sk_c6, X1) = sk_c5))) | (~(multiply(X2, sk_c6) = X1))) | (~(inverse(X2) = sk_c6))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(multiply(sk_c6, X1) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)))),
% 0.17/0.46      inference(quant_intro,[status(thm)],[187])).
% 0.17/0.46  tff(189,axiom,(![X4: $i, X3: $i, X2: $i, X1: $i] : ((((((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X3) = sk_c6))) | (~(inverse(X4) = sk_c6))) | (~(multiply(X4, sk_c5) = sk_c6))) | (~(inverse(sk_c6) = sk_c5))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(sk_c6, X1) = sk_c5))) | (~(multiply(X2, sk_c6) = X1))) | (~(inverse(X2) = sk_c6)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_22')).
% 0.17/0.46  tff(190,plain,
% 0.17/0.46      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(multiply(sk_c6, X1) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)))),
% 0.17/0.46      inference(modus_ponens,[status(thm)],[189, 188])).
% 0.17/0.46  tff(191,plain,
% 0.17/0.46      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(multiply(sk_c6, X1) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)))),
% 0.17/0.46      inference(modus_ponens,[status(thm)],[190, 186])).
% 0.17/0.46  tff(192,plain,
% 0.17/0.46      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(multiply(sk_c6, X1) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)))),
% 0.17/0.46      inference(modus_ponens,[status(thm)],[191, 184])).
% 0.17/0.46  tff(193,plain,
% 0.17/0.46      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 0.17/0.46      inference(modus_ponens,[status(thm)],[192, 183])).
% 0.17/0.46  tff(194,plain,(
% 0.17/0.46      ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 0.17/0.46      inference(skolemize,[status(sab)],[193])).
% 0.17/0.46  tff(195,plain,
% 0.17/0.46      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 0.17/0.46      inference(modus_ponens,[status(thm)],[194, 181])).
% 0.17/0.46  tff(196,plain,
% 0.17/0.46      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)))) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 0.17/0.46      inference(rewrite,[status(thm)],[])).
% 0.17/0.46  tff(197,plain,
% 0.17/0.46      (((~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c6)) | (~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | $false | (~(multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6))) <=> ((~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 0.17/0.46      inference(rewrite,[status(thm)],[])).
% 0.17/0.46  tff(198,plain,
% 0.17/0.46      ((~$true) <=> $false),
% 0.17/0.46      inference(rewrite,[status(thm)],[])).
% 0.17/0.46  tff(199,plain,
% 0.17/0.46      ((multiply(sk_c6, sk_c7) = multiply(sk_c6, sk_c7)) <=> $true),
% 0.17/0.46      inference(rewrite,[status(thm)],[])).
% 0.17/0.46  tff(200,plain,
% 0.17/0.46      ((~(multiply(sk_c6, sk_c7) = multiply(sk_c6, sk_c7))) <=> (~$true)),
% 0.17/0.46      inference(monotonicity,[status(thm)],[199])).
% 0.17/0.46  tff(201,plain,
% 0.17/0.46      ((~(multiply(sk_c6, sk_c7) = multiply(sk_c6, sk_c7))) <=> $false),
% 0.17/0.46      inference(transitivity,[status(thm)],[200, 198])).
% 0.17/0.46  tff(202,plain,
% 0.17/0.46      (((~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c6)) | (~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6))) <=> ((~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c6)) | (~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | $false | (~(multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 0.17/0.46      inference(monotonicity,[status(thm)],[201])).
% 0.17/0.46  tff(203,plain,
% 0.17/0.46      (((~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c6)) | (~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6))) <=> ((~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 0.17/0.46      inference(transitivity,[status(thm)],[202, 197])).
% 0.17/0.46  tff(204,plain,
% 0.17/0.46      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c6)) | (~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6))))),
% 0.17/0.47      inference(monotonicity,[status(thm)],[203])).
% 0.17/0.47  tff(205,plain,
% 0.17/0.47      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c6)) | (~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)))) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 0.17/0.47      inference(transitivity,[status(thm)],[204, 196])).
% 0.17/0.47  tff(206,plain,
% 0.17/0.47      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c6)) | (~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 0.17/0.47      inference(quant_inst,[status(thm)],[])).
% 0.17/0.47  tff(207,plain,
% 0.17/0.47      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)))) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6))),
% 0.17/0.47      inference(modus_ponens,[status(thm)],[206, 205])).
% 0.17/0.47  tff(208,plain,
% 0.17/0.47      ((~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6))),
% 0.17/0.47      inference(unit_resolution,[status(thm)],[207, 126, 195])).
% 0.17/0.47  tff(209,plain,
% 0.17/0.47      (~(multiply(sk_c6, sk_c6) = sk_c7)),
% 0.17/0.47      inference(unit_resolution,[status(thm)],[208, 179, 133, 178])).
% 0.17/0.47  tff(210,plain,
% 0.17/0.47      ($false),
% 0.17/0.47      inference(unit_resolution,[status(thm)],[209, 175])).
% 0.17/0.47  tff(211,plain,(inverse(sk_c1) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 0.17/0.47  tff(212,plain,
% 0.17/0.47      (sk_c6 = inverse(sk_c1)),
% 0.17/0.47      inference(symmetry,[status(thm)],[211])).
% 0.17/0.47  tff(213,plain,
% 0.17/0.47      (multiply(sk_c6, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 0.17/0.47      inference(monotonicity,[status(thm)],[212])).
% 0.17/0.47  tff(214,plain,
% 0.17/0.47      (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c6, sk_c1)),
% 0.17/0.47      inference(symmetry,[status(thm)],[213])).
% 0.17/0.47  tff(215,plain,
% 0.17/0.47      (identity = multiply(sk_c6, sk_c1)),
% 0.17/0.47      inference(transitivity,[status(thm)],[72, 214])).
% 0.17/0.47  tff(216,plain,
% 0.17/0.47      (multiply(identity, sk_c6) = multiply(multiply(sk_c6, sk_c1), sk_c6)),
% 0.17/0.47      inference(monotonicity,[status(thm)],[215])).
% 0.17/0.47  tff(217,plain,
% 0.17/0.47      (multiply(multiply(sk_c6, sk_c1), sk_c6) = multiply(identity, sk_c6)),
% 0.17/0.47      inference(symmetry,[status(thm)],[216])).
% 0.17/0.47  tff(218,plain,
% 0.17/0.47      (multiply(sk_c6, multiply(sk_c1, sk_c6)) = multiply(multiply(sk_c6, sk_c1), sk_c6)),
% 0.17/0.47      inference(symmetry,[status(thm)],[39])).
% 0.17/0.47  tff(219,assumption,(~(inverse(sk_c7) = multiply(sk_c6, sk_c7))), introduced(assumption)).
% 0.17/0.47  tff(220,plain,
% 0.17/0.47      (((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c7) = multiply(sk_c6, sk_c7))) <=> ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c7) = multiply(sk_c6, sk_c7)))),
% 0.17/0.47      inference(rewrite,[status(thm)],[])).
% 0.17/0.47  tff(221,plain,
% 0.17/0.47      ((inverse(sk_c7) = sk_c5) <=> (inverse(sk_c7) = multiply(sk_c6, sk_c7))),
% 0.17/0.47      inference(rewrite,[status(thm)],[])).
% 0.17/0.47  tff(222,plain,
% 0.17/0.47      (((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c7) = sk_c5)) <=> ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c7) = multiply(sk_c6, sk_c7)))),
% 0.17/0.47      inference(monotonicity,[status(thm)],[221])).
% 0.17/0.47  tff(223,plain,
% 0.17/0.47      (((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c7) = sk_c5)) <=> ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c7) = multiply(sk_c6, sk_c7)))),
% 0.17/0.47      inference(transitivity,[status(thm)],[222, 220])).
% 0.17/0.47  tff(224,plain,
% 0.17/0.47      (((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c7) = sk_c5)) <=> ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c7) = sk_c5))),
% 0.17/0.47      inference(rewrite,[status(thm)],[])).
% 0.17/0.47  tff(225,axiom,((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c7) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_3')).
% 0.17/0.47  tff(226,plain,
% 0.17/0.47      ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c7) = sk_c5)),
% 0.17/0.47      inference(modus_ponens,[status(thm)],[225, 224])).
% 0.17/0.47  tff(227,plain,
% 0.17/0.47      ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c7) = sk_c5)),
% 0.17/0.47      inference(modus_ponens,[status(thm)],[226, 224])).
% 0.17/0.47  tff(228,plain,
% 0.17/0.47      ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c7) = sk_c5)),
% 0.17/0.47      inference(modus_ponens,[status(thm)],[227, 224])).
% 0.17/0.47  tff(229,plain,
% 0.17/0.47      ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c7) = sk_c5)),
% 0.17/0.47      inference(modus_ponens,[status(thm)],[228, 224])).
% 0.17/0.47  tff(230,plain,
% 0.17/0.47      ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c7) = sk_c5)),
% 0.17/0.47      inference(modus_ponens,[status(thm)],[229, 224])).
% 0.17/0.47  tff(231,plain,
% 0.17/0.47      ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c7) = multiply(sk_c6, sk_c7))),
% 0.17/0.47      inference(modus_ponens,[status(thm)],[230, 223])).
% 0.17/0.47  tff(232,plain,
% 0.17/0.47      ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c7) = multiply(sk_c6, sk_c7))),
% 0.17/0.47      inference(modus_ponens,[status(thm)],[231, 220])).
% 0.17/0.47  tff(233,plain,
% 0.17/0.47      ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c7) = multiply(sk_c6, sk_c7))),
% 0.17/0.47      inference(modus_ponens,[status(thm)],[232, 220])).
% 0.17/0.47  tff(234,plain,
% 0.17/0.47      ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c7) = multiply(sk_c6, sk_c7))),
% 0.17/0.47      inference(modus_ponens,[status(thm)],[233, 220])).
% 0.17/0.47  tff(235,plain,
% 0.17/0.47      ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c7) = multiply(sk_c6, sk_c7))),
% 0.17/0.47      inference(modus_ponens,[status(thm)],[234, 220])).
% 0.17/0.47  tff(236,plain,
% 0.17/0.47      (multiply(sk_c1, sk_c6) = sk_c7),
% 0.17/0.47      inference(unit_resolution,[status(thm)],[235, 219])).
% 0.17/0.47  tff(237,plain,
% 0.17/0.47      (multiply(sk_c6, multiply(sk_c1, sk_c6)) = multiply(sk_c6, sk_c7)),
% 0.17/0.47      inference(monotonicity,[status(thm)],[236])).
% 0.17/0.47  tff(238,plain,
% 0.17/0.47      (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c1, sk_c6))),
% 0.17/0.47      inference(symmetry,[status(thm)],[237])).
% 0.17/0.47  tff(239,plain,
% 0.17/0.47      (multiply(sk_c6, sk_c7) = multiply(multiply(identity, sk_c6), sk_c7)),
% 0.17/0.47      inference(monotonicity,[status(thm)],[62])).
% 0.17/0.47  tff(240,plain,
% 0.17/0.47      (multiply(multiply(identity, sk_c6), sk_c7) = multiply(sk_c6, sk_c7)),
% 0.17/0.47      inference(symmetry,[status(thm)],[239])).
% 0.17/0.47  tff(241,plain,
% 0.17/0.47      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c6), sk_c7) = multiply(identity, multiply(sk_c6, sk_c7)))),
% 0.17/0.47      inference(quant_inst,[status(thm)],[])).
% 0.17/0.47  tff(242,plain,
% 0.17/0.47      (multiply(multiply(identity, sk_c6), sk_c7) = multiply(identity, multiply(sk_c6, sk_c7))),
% 0.17/0.47      inference(unit_resolution,[status(thm)],[241, 37])).
% 0.17/0.47  tff(243,plain,
% 0.17/0.47      (multiply(identity, multiply(sk_c6, sk_c7)) = multiply(multiply(identity, sk_c6), sk_c7)),
% 0.17/0.47      inference(symmetry,[status(thm)],[242])).
% 0.17/0.47  tff(244,plain,
% 0.17/0.47      (((inverse(sk_c2) = sk_c6) | (inverse(sk_c7) = sk_c5)) <=> ((inverse(sk_c2) = sk_c6) | (inverse(sk_c7) = multiply(sk_c6, sk_c7)))),
% 0.17/0.47      inference(rewrite,[status(thm)],[])).
% 0.17/0.47  tff(245,plain,
% 0.17/0.47      (((inverse(sk_c2) = sk_c6) | (inverse(sk_c7) = sk_c5)) <=> ((inverse(sk_c2) = sk_c6) | (inverse(sk_c7) = sk_c5))),
% 0.17/0.47      inference(rewrite,[status(thm)],[])).
% 0.17/0.47  tff(246,axiom,((inverse(sk_c2) = sk_c6) | (inverse(sk_c7) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_13')).
% 0.17/0.47  tff(247,plain,
% 0.17/0.47      ((inverse(sk_c2) = sk_c6) | (inverse(sk_c7) = sk_c5)),
% 0.17/0.47      inference(modus_ponens,[status(thm)],[246, 245])).
% 0.17/0.47  tff(248,plain,
% 0.17/0.47      ((inverse(sk_c2) = sk_c6) | (inverse(sk_c7) = multiply(sk_c6, sk_c7))),
% 0.17/0.47      inference(modus_ponens,[status(thm)],[247, 244])).
% 0.17/0.47  tff(249,plain,
% 0.17/0.47      (inverse(sk_c2) = sk_c6),
% 0.17/0.47      inference(unit_resolution,[status(thm)],[248, 219])).
% 0.17/0.47  tff(250,plain,
% 0.17/0.47      (sk_c6 = inverse(sk_c2)),
% 0.17/0.47      inference(symmetry,[status(thm)],[249])).
% 0.17/0.47  tff(251,plain,
% 0.17/0.47      (multiply(sk_c6, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 0.17/0.47      inference(monotonicity,[status(thm)],[250])).
% 0.17/0.47  tff(252,plain,
% 0.17/0.47      (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c6, sk_c2)),
% 0.17/0.47      inference(symmetry,[status(thm)],[251])).
% 0.17/0.47  tff(253,plain,
% 0.17/0.47      (identity = multiply(sk_c6, sk_c2)),
% 0.17/0.47      inference(transitivity,[status(thm)],[112, 252])).
% 0.17/0.47  tff(254,plain,
% 0.17/0.47      (multiply(identity, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c6, sk_c2), multiply(sk_c6, sk_c7))),
% 0.17/0.47      inference(monotonicity,[status(thm)],[253])).
% 0.17/0.47  tff(255,plain,
% 0.17/0.47      (multiply(multiply(sk_c6, sk_c2), multiply(sk_c6, sk_c7)) = multiply(identity, multiply(sk_c6, sk_c7))),
% 0.17/0.47      inference(symmetry,[status(thm)],[254])).
% 0.17/0.47  tff(256,plain,
% 0.17/0.47      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c2), multiply(sk_c6, sk_c7)) = multiply(sk_c6, multiply(sk_c2, multiply(sk_c6, sk_c7))))),
% 0.17/0.47      inference(quant_inst,[status(thm)],[])).
% 0.17/0.47  tff(257,plain,
% 0.17/0.47      (multiply(multiply(sk_c6, sk_c2), multiply(sk_c6, sk_c7)) = multiply(sk_c6, multiply(sk_c2, multiply(sk_c6, sk_c7)))),
% 0.17/0.47      inference(unit_resolution,[status(thm)],[256, 37])).
% 0.17/0.47  tff(258,plain,
% 0.17/0.47      (multiply(sk_c6, multiply(sk_c2, multiply(sk_c6, sk_c7))) = multiply(multiply(sk_c6, sk_c2), multiply(sk_c6, sk_c7))),
% 0.17/0.47      inference(symmetry,[status(thm)],[257])).
% 0.17/0.47  tff(259,plain,
% 0.17/0.47      (((inverse(sk_c7) = sk_c5) | (multiply(sk_c2, sk_c5) = sk_c6)) <=> ((inverse(sk_c7) = multiply(sk_c6, sk_c7)) | (multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6))),
% 0.17/0.47      inference(rewrite,[status(thm)],[])).
% 0.17/0.47  tff(260,plain,
% 0.17/0.47      (((inverse(sk_c7) = sk_c5) | (multiply(sk_c2, sk_c5) = sk_c6)) <=> ((inverse(sk_c7) = sk_c5) | (multiply(sk_c2, sk_c5) = sk_c6))),
% 0.17/0.47      inference(rewrite,[status(thm)],[])).
% 0.17/0.47  tff(261,plain,
% 0.17/0.47      (((multiply(sk_c2, sk_c5) = sk_c6) | (inverse(sk_c7) = sk_c5)) <=> ((inverse(sk_c7) = sk_c5) | (multiply(sk_c2, sk_c5) = sk_c6))),
% 0.17/0.47      inference(rewrite,[status(thm)],[])).
% 0.17/0.47  tff(262,axiom,((multiply(sk_c2, sk_c5) = sk_c6) | (inverse(sk_c7) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_18')).
% 0.17/0.47  tff(263,plain,
% 0.17/0.47      ((inverse(sk_c7) = sk_c5) | (multiply(sk_c2, sk_c5) = sk_c6)),
% 0.17/0.47      inference(modus_ponens,[status(thm)],[262, 261])).
% 0.17/0.47  tff(264,plain,
% 0.17/0.47      ((inverse(sk_c7) = sk_c5) | (multiply(sk_c2, sk_c5) = sk_c6)),
% 0.17/0.47      inference(modus_ponens,[status(thm)],[263, 260])).
% 0.17/0.47  tff(265,plain,
% 0.17/0.47      ((inverse(sk_c7) = multiply(sk_c6, sk_c7)) | (multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6)),
% 0.17/0.47      inference(modus_ponens,[status(thm)],[264, 259])).
% 0.17/0.47  tff(266,plain,
% 0.17/0.47      (multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6),
% 0.17/0.47      inference(unit_resolution,[status(thm)],[265, 219])).
% 0.17/0.47  tff(267,plain,
% 0.17/0.47      (multiply(sk_c6, multiply(sk_c2, multiply(sk_c6, sk_c7))) = multiply(sk_c6, sk_c6)),
% 0.17/0.47      inference(monotonicity,[status(thm)],[266])).
% 0.17/0.47  tff(268,plain,
% 0.17/0.47      (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(sk_c2, multiply(sk_c6, sk_c7)))),
% 0.17/0.47      inference(symmetry,[status(thm)],[267])).
% 0.17/0.47  tff(269,plain,
% 0.17/0.47      (multiply(sk_c6, sk_c6) = multiply(multiply(identity, sk_c6), sk_c6)),
% 0.17/0.47      inference(monotonicity,[status(thm)],[62])).
% 0.17/0.47  tff(270,plain,
% 0.17/0.47      (multiply(multiply(identity, sk_c6), sk_c6) = multiply(sk_c6, sk_c6)),
% 0.17/0.47      inference(symmetry,[status(thm)],[269])).
% 0.17/0.47  tff(271,plain,
% 0.17/0.47      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c6), sk_c6) = multiply(identity, multiply(sk_c6, sk_c6)))),
% 0.17/0.47      inference(quant_inst,[status(thm)],[])).
% 0.17/0.47  tff(272,plain,
% 0.17/0.47      (multiply(multiply(identity, sk_c6), sk_c6) = multiply(identity, multiply(sk_c6, sk_c6))),
% 0.17/0.47      inference(unit_resolution,[status(thm)],[271, 37])).
% 0.17/0.47  tff(273,plain,
% 0.17/0.47      (multiply(identity, multiply(sk_c6, sk_c6)) = multiply(multiply(identity, sk_c6), sk_c6)),
% 0.17/0.47      inference(symmetry,[status(thm)],[272])).
% 0.17/0.47  tff(274,plain,
% 0.17/0.47      (multiply(identity, multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c6, sk_c1), multiply(sk_c6, sk_c6))),
% 0.17/0.47      inference(monotonicity,[status(thm)],[215])).
% 0.17/0.47  tff(275,plain,
% 0.17/0.47      (multiply(multiply(sk_c6, sk_c1), multiply(sk_c6, sk_c6)) = multiply(identity, multiply(sk_c6, sk_c6))),
% 0.17/0.47      inference(symmetry,[status(thm)],[274])).
% 0.17/0.47  tff(276,plain,
% 0.17/0.47      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c1), multiply(sk_c6, sk_c6)) = multiply(sk_c6, multiply(sk_c1, multiply(sk_c6, sk_c6))))),
% 0.17/0.47      inference(quant_inst,[status(thm)],[])).
% 0.17/0.47  tff(277,plain,
% 0.17/0.47      (multiply(multiply(sk_c6, sk_c1), multiply(sk_c6, sk_c6)) = multiply(sk_c6, multiply(sk_c1, multiply(sk_c6, sk_c6)))),
% 0.17/0.47      inference(unit_resolution,[status(thm)],[276, 37])).
% 0.17/0.47  tff(278,plain,
% 0.17/0.47      (multiply(sk_c6, multiply(sk_c1, multiply(sk_c6, sk_c6))) = multiply(multiply(sk_c6, sk_c1), multiply(sk_c6, sk_c6))),
% 0.17/0.47      inference(symmetry,[status(thm)],[277])).
% 0.17/0.47  tff(279,plain,
% 0.17/0.47      (multiply(multiply(sk_c1, sk_c6), sk_c6) = multiply(sk_c7, sk_c6)),
% 0.17/0.47      inference(monotonicity,[status(thm)],[236])).
% 0.17/0.47  tff(280,plain,
% 0.17/0.47      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c6), sk_c6) = multiply(sk_c1, multiply(sk_c6, sk_c6)))),
% 0.17/0.47      inference(quant_inst,[status(thm)],[])).
% 0.17/0.47  tff(281,plain,
% 0.17/0.47      (multiply(multiply(sk_c1, sk_c6), sk_c6) = multiply(sk_c1, multiply(sk_c6, sk_c6))),
% 0.17/0.47      inference(unit_resolution,[status(thm)],[280, 37])).
% 0.17/0.47  tff(282,plain,
% 0.17/0.47      (multiply(sk_c1, multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c1, sk_c6), sk_c6)),
% 0.17/0.47      inference(symmetry,[status(thm)],[281])).
% 0.17/0.47  tff(283,plain,
% 0.17/0.47      (multiply(sk_c1, multiply(sk_c6, sk_c6)) = multiply(sk_c7, sk_c6)),
% 0.17/0.47      inference(transitivity,[status(thm)],[282, 279])).
% 0.17/0.47  tff(284,plain,
% 0.17/0.47      (multiply(sk_c6, multiply(sk_c1, multiply(sk_c6, sk_c6))) = multiply(sk_c6, multiply(sk_c7, sk_c6))),
% 0.17/0.47      inference(monotonicity,[status(thm)],[283])).
% 0.17/0.47  tff(285,plain,
% 0.17/0.47      (multiply(sk_c6, multiply(sk_c7, sk_c6)) = multiply(sk_c6, multiply(sk_c1, multiply(sk_c6, sk_c6)))),
% 0.17/0.47      inference(symmetry,[status(thm)],[284])).
% 0.17/0.47  tff(286,plain,
% 0.17/0.47      (multiply(sk_c6, sk_c7) = sk_c6),
% 0.17/0.47      inference(transitivity,[status(thm)],[238, 218, 217, 61])).
% 0.17/0.47  tff(287,plain,
% 0.17/0.47      (multiply(multiply(sk_c6, sk_c7), multiply(sk_c7, sk_c6)) = multiply(sk_c6, multiply(sk_c7, sk_c6))),
% 0.17/0.47      inference(monotonicity,[status(thm)],[286])).
% 0.17/0.47  tff(288,plain,
% 0.17/0.47      (sk_c6 = multiply(sk_c2, multiply(sk_c6, sk_c7))),
% 0.17/0.47      inference(symmetry,[status(thm)],[266])).
% 0.17/0.47  tff(289,plain,
% 0.17/0.47      (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c2, multiply(sk_c6, sk_c7)))),
% 0.17/0.47      inference(monotonicity,[status(thm)],[288])).
% 0.17/0.47  tff(290,plain,
% 0.17/0.47      (multiply(sk_c7, multiply(sk_c2, multiply(sk_c6, sk_c7))) = multiply(sk_c7, sk_c6)),
% 0.17/0.47      inference(symmetry,[status(thm)],[289])).
% 0.17/0.47  tff(291,plain,
% 0.17/0.47      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), sk_c6) = multiply(sk_c6, multiply(sk_c7, sk_c6)))),
% 0.17/0.47      inference(quant_inst,[status(thm)],[])).
% 0.17/0.47  tff(292,plain,
% 0.17/0.47      (multiply(multiply(sk_c6, sk_c7), sk_c6) = multiply(sk_c6, multiply(sk_c7, sk_c6))),
% 0.17/0.47      inference(unit_resolution,[status(thm)],[291, 37])).
% 0.17/0.47  tff(293,plain,
% 0.17/0.47      (multiply(multiply(sk_c6, sk_c7), sk_c6) = multiply(inverse(sk_c6), sk_c6)),
% 0.17/0.47      inference(monotonicity,[status(thm)],[172])).
% 0.17/0.47  tff(294,plain,
% 0.17/0.47      (multiply(inverse(sk_c6), sk_c6) = multiply(multiply(sk_c6, sk_c7), sk_c6)),
% 0.17/0.47      inference(symmetry,[status(thm)],[293])).
% 0.17/0.47  tff(295,plain,
% 0.17/0.47      (identity = multiply(inverse(sk_c6), sk_c6)),
% 0.17/0.47      inference(symmetry,[status(thm)],[114])).
% 0.17/0.47  tff(296,plain,
% 0.17/0.47      (identity = multiply(sk_c6, sk_c7)),
% 0.17/0.47      inference(transitivity,[status(thm)],[295, 294, 292, 285, 278, 275, 273, 270, 268, 258, 255, 243, 240])).
% 0.17/0.47  tff(297,plain,
% 0.17/0.47      (multiply(identity, multiply(sk_c7, multiply(sk_c2, multiply(sk_c6, sk_c7)))) = multiply(multiply(sk_c6, sk_c7), multiply(sk_c7, sk_c6))),
% 0.17/0.47      inference(monotonicity,[status(thm)],[296, 290])).
% 0.17/0.47  tff(298,plain,
% 0.17/0.47      ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c7, multiply(sk_c2, multiply(sk_c6, sk_c7)))) = multiply(sk_c7, multiply(sk_c2, multiply(sk_c6, sk_c7))))),
% 0.17/0.47      inference(quant_inst,[status(thm)],[])).
% 0.17/0.47  tff(299,plain,
% 0.17/0.47      (multiply(identity, multiply(sk_c7, multiply(sk_c2, multiply(sk_c6, sk_c7)))) = multiply(sk_c7, multiply(sk_c2, multiply(sk_c6, sk_c7)))),
% 0.17/0.47      inference(unit_resolution,[status(thm)],[298, 7])).
% 0.17/0.47  tff(300,plain,
% 0.17/0.47      (multiply(sk_c7, multiply(sk_c2, multiply(sk_c6, sk_c7))) = multiply(identity, multiply(sk_c7, multiply(sk_c2, multiply(sk_c6, sk_c7))))),
% 0.17/0.47      inference(symmetry,[status(thm)],[299])).
% 0.17/0.47  tff(301,plain,
% 0.17/0.47      (multiply(sk_c6, sk_c2) = multiply(sk_c6, sk_c6)),
% 0.17/0.47      inference(transitivity,[status(thm)],[251, 97, 295, 294, 292, 285, 278, 275, 273, 270])).
% 0.17/0.47  tff(302,plain,
% 0.17/0.47      (multiply(sk_c1, multiply(sk_c6, sk_c2)) = multiply(sk_c1, multiply(sk_c6, sk_c6))),
% 0.17/0.47      inference(monotonicity,[status(thm)],[301])).
% 0.17/0.47  tff(303,plain,
% 0.17/0.47      (multiply(sk_c6, multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c6, sk_c7), sk_c6)),
% 0.17/0.47      inference(symmetry,[status(thm)],[292])).
% 0.17/0.47  tff(304,plain,
% 0.17/0.47      (multiply(sk_c6, sk_c7) = multiply(sk_c6, sk_c2)),
% 0.17/0.47      inference(transitivity,[status(thm)],[239, 242, 254, 257, 267, 269, 272, 274, 277, 284, 303, 293, 114, 112, 252])).
% 0.17/0.47  tff(305,plain,
% 0.17/0.47      (multiply(sk_c1, multiply(sk_c6, sk_c7)) = multiply(sk_c1, multiply(sk_c6, sk_c2))),
% 0.17/0.47      inference(monotonicity,[status(thm)],[304])).
% 0.17/0.47  tff(306,plain,
% 0.17/0.47      (sk_c6 = multiply(sk_c6, sk_c7)),
% 0.17/0.47      inference(transitivity,[status(thm)],[62, 216, 39, 237])).
% 0.17/0.47  tff(307,plain,
% 0.17/0.47      (multiply(sk_c1, sk_c6) = multiply(sk_c1, multiply(sk_c6, sk_c7))),
% 0.17/0.47      inference(monotonicity,[status(thm)],[306])).
% 0.17/0.47  tff(308,plain,
% 0.17/0.47      (sk_c7 = multiply(sk_c1, sk_c6)),
% 0.17/0.47      inference(symmetry,[status(thm)],[236])).
% 0.17/0.47  tff(309,plain,
% 0.17/0.47      (sk_c7 = sk_c6),
% 0.17/0.47      inference(transitivity,[status(thm)],[308, 307, 305, 302, 282, 279, 289, 300, 297, 287, 285, 278, 275, 273, 270, 268, 258, 255, 243, 240, 238, 218, 217, 61])).
% 0.17/0.47  tff(310,plain,
% 0.17/0.47      (inverse(sk_c7) = inverse(sk_c6)),
% 0.17/0.47      inference(monotonicity,[status(thm)],[309])).
% 0.17/0.47  tff(311,plain,
% 0.17/0.47      (inverse(sk_c7) = multiply(sk_c6, sk_c7)),
% 0.17/0.47      inference(transitivity,[status(thm)],[310, 126])).
% 0.17/0.47  tff(312,plain,
% 0.17/0.47      ($false),
% 0.17/0.47      inference(unit_resolution,[status(thm)],[219, 311])).
% 0.17/0.47  tff(313,plain,(inverse(sk_c7) = multiply(sk_c6, sk_c7)), inference(lemma,lemma(discharge,[]))).
% 0.17/0.48  tff(314,plain,
% 0.17/0.48      (multiply(sk_c6, sk_c7) = inverse(sk_c7)),
% 0.17/0.48      inference(symmetry,[status(thm)],[313])).
% 0.17/0.48  tff(315,assumption,(~(multiply(sk_c1, sk_c6) = sk_c7)), introduced(assumption)).
% 0.17/0.48  tff(316,plain,
% 0.17/0.48      (((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c3) = sk_c6)) <=> ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c3) = sk_c6))),
% 0.17/0.48      inference(rewrite,[status(thm)],[])).
% 0.17/0.48  tff(317,axiom,((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c3) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_6')).
% 0.17/0.48  tff(318,plain,
% 0.17/0.48      ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c3) = sk_c6)),
% 0.17/0.48      inference(modus_ponens,[status(thm)],[317, 316])).
% 0.17/0.48  tff(319,plain,
% 0.17/0.48      ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c3) = sk_c6)),
% 0.17/0.48      inference(modus_ponens,[status(thm)],[318, 316])).
% 0.17/0.48  tff(320,plain,
% 0.17/0.48      ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c3) = sk_c6)),
% 0.17/0.48      inference(modus_ponens,[status(thm)],[319, 316])).
% 0.17/0.48  tff(321,plain,
% 0.17/0.48      ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c3) = sk_c6)),
% 0.17/0.48      inference(modus_ponens,[status(thm)],[320, 316])).
% 0.17/0.48  tff(322,plain,
% 0.17/0.48      ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c3) = sk_c6)),
% 0.17/0.48      inference(modus_ponens,[status(thm)],[321, 316])).
% 0.17/0.48  tff(323,plain,
% 0.17/0.48      ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c3) = sk_c6)),
% 0.17/0.48      inference(modus_ponens,[status(thm)],[322, 316])).
% 0.17/0.48  tff(324,plain,
% 0.17/0.48      ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c3) = sk_c6)),
% 0.17/0.48      inference(modus_ponens,[status(thm)],[323, 316])).
% 0.17/0.48  tff(325,plain,
% 0.17/0.48      ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c3) = sk_c6)),
% 0.17/0.48      inference(modus_ponens,[status(thm)],[324, 316])).
% 0.17/0.48  tff(326,plain,
% 0.17/0.48      ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c3) = sk_c6)),
% 0.17/0.48      inference(modus_ponens,[status(thm)],[325, 316])).
% 0.17/0.48  tff(327,plain,
% 0.17/0.48      ((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c3) = sk_c6)),
% 0.17/0.48      inference(modus_ponens,[status(thm)],[326, 316])).
% 0.17/0.48  tff(328,plain,
% 0.17/0.48      (inverse(sk_c3) = sk_c6),
% 0.17/0.48      inference(unit_resolution,[status(thm)],[327, 315])).
% 0.17/0.48  tff(329,plain,
% 0.17/0.48      (sk_c6 = inverse(sk_c3)),
% 0.17/0.48      inference(symmetry,[status(thm)],[328])).
% 0.17/0.48  tff(330,plain,
% 0.17/0.48      (multiply(sk_c6, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 0.17/0.48      inference(monotonicity,[status(thm)],[329])).
% 0.17/0.48  tff(331,plain,
% 0.17/0.48      (multiply(inverse(sk_c3), sk_c3) = multiply(sk_c6, sk_c3)),
% 0.17/0.48      inference(symmetry,[status(thm)],[330])).
% 0.17/0.48  tff(332,plain,
% 0.17/0.48      (identity = multiply(sk_c6, sk_c3)),
% 0.17/0.48      inference(transitivity,[status(thm)],[144, 331])).
% 0.17/0.48  tff(333,plain,
% 0.17/0.48      (multiply(identity, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c7))),
% 0.17/0.48      inference(monotonicity,[status(thm)],[332])).
% 0.17/0.48  tff(334,plain,
% 0.17/0.48      (multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c7)) = multiply(identity, multiply(sk_c6, sk_c7))),
% 0.17/0.48      inference(symmetry,[status(thm)],[333])).
% 0.17/0.48  tff(335,plain,
% 0.17/0.48      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c7)) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c6, sk_c7))))),
% 0.17/0.48      inference(quant_inst,[status(thm)],[])).
% 0.17/0.48  tff(336,plain,
% 0.17/0.48      (multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c7)) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c6, sk_c7)))),
% 0.17/0.48      inference(unit_resolution,[status(thm)],[335, 37])).
% 0.17/0.48  tff(337,plain,
% 0.17/0.48      (multiply(sk_c6, multiply(sk_c3, multiply(sk_c6, sk_c7))) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c7))),
% 0.17/0.48      inference(symmetry,[status(thm)],[336])).
% 0.17/0.48  tff(338,plain,
% 0.17/0.48      (((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c4)) <=> ((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c4))),
% 0.17/0.48      inference(rewrite,[status(thm)],[])).
% 0.17/0.48  tff(339,axiom,((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_5')).
% 0.17/0.48  tff(340,plain,
% 0.17/0.48      ((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c4)),
% 0.17/0.48      inference(modus_ponens,[status(thm)],[339, 338])).
% 0.17/0.48  tff(341,plain,
% 0.17/0.48      (multiply(sk_c3, sk_c6) = sk_c4),
% 0.17/0.48      inference(unit_resolution,[status(thm)],[340, 315])).
% 0.17/0.48  tff(342,plain,
% 0.17/0.48      (sk_c4 = multiply(sk_c3, sk_c6)),
% 0.17/0.48      inference(symmetry,[status(thm)],[341])).
% 0.17/0.48  tff(343,plain,
% 0.17/0.48      (multiply(sk_c4, sk_c7) = multiply(multiply(sk_c3, sk_c6), sk_c7)),
% 0.17/0.48      inference(monotonicity,[status(thm)],[342])).
% 0.17/0.48  tff(344,plain,
% 0.17/0.48      (multiply(multiply(sk_c3, sk_c6), sk_c7) = multiply(sk_c4, sk_c7)),
% 0.17/0.48      inference(symmetry,[status(thm)],[343])).
% 0.17/0.48  tff(345,plain,
% 0.17/0.48      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c6), sk_c7) = multiply(sk_c3, multiply(sk_c6, sk_c7)))),
% 0.17/0.48      inference(quant_inst,[status(thm)],[])).
% 0.17/0.48  tff(346,plain,
% 0.17/0.48      (multiply(multiply(sk_c3, sk_c6), sk_c7) = multiply(sk_c3, multiply(sk_c6, sk_c7))),
% 0.17/0.48      inference(unit_resolution,[status(thm)],[345, 37])).
% 0.17/0.48  tff(347,plain,
% 0.17/0.48      (multiply(sk_c3, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c3, sk_c6), sk_c7)),
% 0.17/0.48      inference(symmetry,[status(thm)],[346])).
% 0.17/0.48  tff(348,plain,
% 0.17/0.48      (multiply(sk_c3, multiply(sk_c6, sk_c7)) = multiply(sk_c4, sk_c7)),
% 0.17/0.48      inference(transitivity,[status(thm)],[347, 344])).
% 0.17/0.48  tff(349,plain,
% 0.17/0.48      (multiply(sk_c6, multiply(sk_c3, multiply(sk_c6, sk_c7))) = multiply(sk_c6, multiply(sk_c4, sk_c7))),
% 0.17/0.48      inference(monotonicity,[status(thm)],[348])).
% 0.17/0.48  tff(350,plain,
% 0.17/0.48      (multiply(sk_c6, multiply(sk_c4, sk_c7)) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c6, sk_c7)))),
% 0.17/0.48      inference(symmetry,[status(thm)],[349])).
% 0.17/0.48  tff(351,plain,
% 0.17/0.48      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c4), sk_c7) = multiply(sk_c6, multiply(sk_c4, sk_c7)))),
% 0.17/0.48      inference(quant_inst,[status(thm)],[])).
% 0.17/0.48  tff(352,plain,
% 0.17/0.48      (multiply(multiply(sk_c6, sk_c4), sk_c7) = multiply(sk_c6, multiply(sk_c4, sk_c7))),
% 0.17/0.48      inference(unit_resolution,[status(thm)],[351, 37])).
% 0.17/0.48  tff(353,assumption,(~(multiply(sk_c6, sk_c4) = multiply(sk_c6, sk_c7))), introduced(assumption)).
% 0.17/0.48  tff(354,plain,
% 0.17/0.48      (((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c6, sk_c4) = sk_c5)) <=> ((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c6, sk_c4) = multiply(sk_c6, sk_c7)))),
% 0.17/0.48      inference(rewrite,[status(thm)],[])).
% 0.17/0.48  tff(355,plain,
% 0.17/0.48      (((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c6, sk_c4) = sk_c5)) <=> ((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c6, sk_c4) = sk_c5))),
% 0.17/0.48      inference(rewrite,[status(thm)],[])).
% 0.17/0.48  tff(356,axiom,((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c6, sk_c4) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_4')).
% 0.17/0.48  tff(357,plain,
% 0.17/0.48      ((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c6, sk_c4) = sk_c5)),
% 0.17/0.48      inference(modus_ponens,[status(thm)],[356, 355])).
% 0.17/0.48  tff(358,plain,
% 0.17/0.48      ((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c6, sk_c4) = multiply(sk_c6, sk_c7))),
% 0.17/0.48      inference(modus_ponens,[status(thm)],[357, 354])).
% 0.17/0.48  tff(359,plain,
% 0.17/0.48      (multiply(sk_c1, sk_c6) = sk_c7),
% 0.17/0.48      inference(unit_resolution,[status(thm)],[358, 353])).
% 0.17/0.48  tff(360,plain,
% 0.17/0.48      (multiply(sk_c6, multiply(sk_c1, sk_c6)) = multiply(sk_c6, sk_c7)),
% 0.17/0.48      inference(monotonicity,[status(thm)],[359])).
% 0.17/0.48  tff(361,plain,
% 0.17/0.48      (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c1, sk_c6))),
% 0.17/0.48      inference(symmetry,[status(thm)],[360])).
% 0.17/0.48  tff(362,plain,
% 0.17/0.48      (((inverse(sk_c2) = sk_c6) | (multiply(sk_c6, sk_c4) = sk_c5)) <=> ((inverse(sk_c2) = sk_c6) | (multiply(sk_c6, sk_c4) = multiply(sk_c6, sk_c7)))),
% 0.17/0.48      inference(rewrite,[status(thm)],[])).
% 0.17/0.48  tff(363,plain,
% 0.17/0.48      (((inverse(sk_c2) = sk_c6) | (multiply(sk_c6, sk_c4) = sk_c5)) <=> ((inverse(sk_c2) = sk_c6) | (multiply(sk_c6, sk_c4) = sk_c5))),
% 0.17/0.48      inference(rewrite,[status(thm)],[])).
% 0.17/0.48  tff(364,axiom,((inverse(sk_c2) = sk_c6) | (multiply(sk_c6, sk_c4) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_14')).
% 0.17/0.48  tff(365,plain,
% 0.17/0.48      ((inverse(sk_c2) = sk_c6) | (multiply(sk_c6, sk_c4) = sk_c5)),
% 0.17/0.48      inference(modus_ponens,[status(thm)],[364, 363])).
% 0.17/0.48  tff(366,plain,
% 0.17/0.48      ((inverse(sk_c2) = sk_c6) | (multiply(sk_c6, sk_c4) = multiply(sk_c6, sk_c7))),
% 0.17/0.48      inference(modus_ponens,[status(thm)],[365, 362])).
% 0.17/0.48  tff(367,plain,
% 0.17/0.48      (inverse(sk_c2) = sk_c6),
% 0.17/0.48      inference(unit_resolution,[status(thm)],[366, 353])).
% 0.17/0.48  tff(368,plain,
% 0.17/0.48      (sk_c6 = inverse(sk_c2)),
% 0.17/0.48      inference(symmetry,[status(thm)],[367])).
% 0.17/0.48  tff(369,plain,
% 0.17/0.48      (multiply(sk_c6, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 0.17/0.48      inference(monotonicity,[status(thm)],[368])).
% 0.17/0.48  tff(370,plain,
% 0.17/0.48      (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c6, sk_c2)),
% 0.17/0.48      inference(symmetry,[status(thm)],[369])).
% 0.17/0.48  tff(371,plain,
% 0.17/0.48      (identity = multiply(sk_c6, sk_c2)),
% 0.17/0.48      inference(transitivity,[status(thm)],[112, 370])).
% 0.17/0.48  tff(372,plain,
% 0.17/0.48      (multiply(identity, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c6, sk_c2), multiply(sk_c6, sk_c7))),
% 0.17/0.48      inference(monotonicity,[status(thm)],[371])).
% 0.17/0.48  tff(373,plain,
% 0.17/0.48      (multiply(multiply(sk_c6, sk_c2), multiply(sk_c6, sk_c7)) = multiply(identity, multiply(sk_c6, sk_c7))),
% 0.17/0.48      inference(symmetry,[status(thm)],[372])).
% 0.17/0.48  tff(374,plain,
% 0.17/0.48      (((multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6) | (multiply(sk_c6, sk_c4) = multiply(sk_c6, sk_c7))) <=> ((multiply(sk_c6, sk_c4) = multiply(sk_c6, sk_c7)) | (multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6))),
% 0.17/0.48      inference(rewrite,[status(thm)],[])).
% 0.17/0.48  tff(375,plain,
% 0.17/0.48      ((multiply(sk_c6, sk_c4) = sk_c5) <=> (multiply(sk_c6, sk_c4) = multiply(sk_c6, sk_c7))),
% 0.17/0.48      inference(rewrite,[status(thm)],[])).
% 0.17/0.48  tff(376,plain,
% 0.17/0.48      ((multiply(sk_c2, sk_c5) = sk_c6) <=> (multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6)),
% 0.17/0.48      inference(rewrite,[status(thm)],[])).
% 0.17/0.48  tff(377,plain,
% 0.17/0.48      (((multiply(sk_c2, sk_c5) = sk_c6) | (multiply(sk_c6, sk_c4) = sk_c5)) <=> ((multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6) | (multiply(sk_c6, sk_c4) = multiply(sk_c6, sk_c7)))),
% 0.17/0.48      inference(monotonicity,[status(thm)],[376, 375])).
% 0.17/0.48  tff(378,plain,
% 0.17/0.48      (((multiply(sk_c2, sk_c5) = sk_c6) | (multiply(sk_c6, sk_c4) = sk_c5)) <=> ((multiply(sk_c6, sk_c4) = multiply(sk_c6, sk_c7)) | (multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6))),
% 0.17/0.48      inference(transitivity,[status(thm)],[377, 374])).
% 0.17/0.48  tff(379,plain,
% 0.17/0.48      (((multiply(sk_c2, sk_c5) = sk_c6) | (multiply(sk_c6, sk_c4) = sk_c5)) <=> ((multiply(sk_c2, sk_c5) = sk_c6) | (multiply(sk_c6, sk_c4) = sk_c5))),
% 0.17/0.48      inference(rewrite,[status(thm)],[])).
% 0.17/0.48  tff(380,axiom,((multiply(sk_c2, sk_c5) = sk_c6) | (multiply(sk_c6, sk_c4) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_19')).
% 0.17/0.48  tff(381,plain,
% 0.17/0.48      ((multiply(sk_c2, sk_c5) = sk_c6) | (multiply(sk_c6, sk_c4) = sk_c5)),
% 0.17/0.48      inference(modus_ponens,[status(thm)],[380, 379])).
% 0.17/0.48  tff(382,plain,
% 0.17/0.48      ((multiply(sk_c6, sk_c4) = multiply(sk_c6, sk_c7)) | (multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6)),
% 0.17/0.48      inference(modus_ponens,[status(thm)],[381, 378])).
% 0.17/0.48  tff(383,plain,
% 0.17/0.48      (multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6),
% 0.17/0.48      inference(unit_resolution,[status(thm)],[382, 353])).
% 0.17/0.48  tff(384,plain,
% 0.17/0.48      (multiply(sk_c6, multiply(sk_c2, multiply(sk_c6, sk_c7))) = multiply(sk_c6, sk_c6)),
% 0.17/0.48      inference(monotonicity,[status(thm)],[383])).
% 0.17/0.48  tff(385,plain,
% 0.17/0.48      (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(sk_c2, multiply(sk_c6, sk_c7)))),
% 0.17/0.48      inference(symmetry,[status(thm)],[384])).
% 0.17/0.48  tff(386,plain,
% 0.17/0.48      (multiply(multiply(sk_c1, sk_c6), sk_c6) = multiply(sk_c7, sk_c6)),
% 0.17/0.48      inference(monotonicity,[status(thm)],[359])).
% 0.17/0.48  tff(387,plain,
% 0.17/0.48      (multiply(sk_c1, multiply(sk_c6, sk_c6)) = multiply(sk_c7, sk_c6)),
% 0.17/0.48      inference(transitivity,[status(thm)],[282, 386])).
% 0.17/0.48  tff(388,plain,
% 0.17/0.48      (multiply(sk_c6, multiply(sk_c1, multiply(sk_c6, sk_c6))) = multiply(sk_c6, multiply(sk_c7, sk_c6))),
% 0.17/0.48      inference(monotonicity,[status(thm)],[387])).
% 0.17/0.48  tff(389,plain,
% 0.17/0.48      (multiply(sk_c6, multiply(sk_c7, sk_c6)) = multiply(sk_c6, multiply(sk_c1, multiply(sk_c6, sk_c6)))),
% 0.17/0.48      inference(symmetry,[status(thm)],[388])).
% 0.17/0.48  tff(390,plain,
% 0.17/0.48      (multiply(sk_c6, sk_c7) = sk_c6),
% 0.17/0.48      inference(transitivity,[status(thm)],[361, 218, 217, 61])).
% 0.17/0.48  tff(391,plain,
% 0.17/0.48      (multiply(multiply(sk_c6, sk_c7), multiply(sk_c7, sk_c6)) = multiply(sk_c6, multiply(sk_c7, sk_c6))),
% 0.17/0.48      inference(monotonicity,[status(thm)],[390])).
% 0.17/0.48  tff(392,plain,
% 0.17/0.48      (sk_c6 = multiply(sk_c2, multiply(sk_c6, sk_c7))),
% 0.17/0.48      inference(symmetry,[status(thm)],[383])).
% 0.17/0.48  tff(393,plain,
% 0.17/0.48      (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c2, multiply(sk_c6, sk_c7)))),
% 0.17/0.48      inference(monotonicity,[status(thm)],[392])).
% 0.17/0.48  tff(394,plain,
% 0.17/0.48      (multiply(sk_c7, multiply(sk_c2, multiply(sk_c6, sk_c7))) = multiply(sk_c7, sk_c6)),
% 0.17/0.48      inference(symmetry,[status(thm)],[393])).
% 0.17/0.48  tff(395,plain,
% 0.17/0.48      (identity = multiply(sk_c6, sk_c7)),
% 0.17/0.48      inference(transitivity,[status(thm)],[295, 294, 292, 389, 278, 275, 273, 270, 385, 258, 373, 243, 240])).
% 0.17/0.48  tff(396,plain,
% 0.17/0.48      (multiply(identity, multiply(sk_c7, multiply(sk_c2, multiply(sk_c6, sk_c7)))) = multiply(multiply(sk_c6, sk_c7), multiply(sk_c7, sk_c6))),
% 0.17/0.48      inference(monotonicity,[status(thm)],[395, 394])).
% 0.17/0.48  tff(397,plain,
% 0.17/0.48      (multiply(sk_c6, sk_c2) = multiply(sk_c6, sk_c6)),
% 0.17/0.48      inference(transitivity,[status(thm)],[369, 97, 295, 294, 292, 389, 278, 275, 273, 270])).
% 0.17/0.48  tff(398,plain,
% 0.17/0.48      (multiply(sk_c1, multiply(sk_c6, sk_c2)) = multiply(sk_c1, multiply(sk_c6, sk_c6))),
% 0.17/0.48      inference(monotonicity,[status(thm)],[397])).
% 0.17/0.48  tff(399,plain,
% 0.17/0.48      (multiply(sk_c6, sk_c7) = multiply(sk_c6, sk_c2)),
% 0.17/0.48      inference(transitivity,[status(thm)],[239, 242, 372, 257, 384, 269, 272, 274, 277, 388, 303, 293, 114, 112, 370])).
% 0.17/0.48  tff(400,plain,
% 0.17/0.48      (multiply(sk_c1, multiply(sk_c6, sk_c7)) = multiply(sk_c1, multiply(sk_c6, sk_c2))),
% 0.17/0.48      inference(monotonicity,[status(thm)],[399])).
% 0.17/0.48  tff(401,plain,
% 0.17/0.48      (sk_c6 = multiply(sk_c6, sk_c7)),
% 0.17/0.48      inference(transitivity,[status(thm)],[62, 216, 39, 360])).
% 0.17/0.48  tff(402,plain,
% 0.17/0.48      (multiply(sk_c1, sk_c6) = multiply(sk_c1, multiply(sk_c6, sk_c7))),
% 0.17/0.48      inference(monotonicity,[status(thm)],[401])).
% 0.17/0.48  tff(403,plain,
% 0.17/0.48      (sk_c7 = multiply(sk_c1, sk_c6)),
% 0.17/0.48      inference(symmetry,[status(thm)],[359])).
% 0.17/0.48  tff(404,plain,
% 0.17/0.48      (sk_c7 = sk_c6),
% 0.17/0.48      inference(transitivity,[status(thm)],[403, 402, 400, 398, 282, 386, 393, 300, 396, 391, 389, 278, 275, 273, 270, 385, 258, 373, 243, 240, 361, 218, 217, 61])).
% 0.17/0.48  tff(405,plain,
% 0.17/0.48      (inverse(sk_c7) = inverse(sk_c6)),
% 0.17/0.48      inference(monotonicity,[status(thm)],[404])).
% 0.17/0.48  tff(406,plain,
% 0.17/0.48      (inverse(sk_c7) = multiply(sk_c6, sk_c7)),
% 0.17/0.48      inference(transitivity,[status(thm)],[405, 126])).
% 0.17/0.48  tff(407,plain,
% 0.17/0.48      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)))) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 0.17/0.48      inference(rewrite,[status(thm)],[])).
% 0.17/0.48  tff(408,plain,
% 0.17/0.48      (((~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | $false | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6))) <=> ((~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 0.17/0.48      inference(rewrite,[status(thm)],[])).
% 0.17/0.48  tff(409,plain,
% 0.17/0.48      (((~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6))) <=> ((~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | $false | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 0.17/0.48      inference(monotonicity,[status(thm)],[201])).
% 0.17/0.48  tff(410,plain,
% 0.17/0.48      (((~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6))) <=> ((~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 0.17/0.48      inference(transitivity,[status(thm)],[409, 408])).
% 0.17/0.48  tff(411,plain,
% 0.17/0.48      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6))))),
% 0.17/0.48      inference(monotonicity,[status(thm)],[410])).
% 0.17/0.48  tff(412,plain,
% 0.17/0.48      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)))) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 0.17/0.49      inference(transitivity,[status(thm)],[411, 407])).
% 0.17/0.49  tff(413,plain,
% 0.17/0.49      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 0.17/0.49      inference(quant_inst,[status(thm)],[])).
% 0.17/0.49  tff(414,plain,
% 0.17/0.49      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)))) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6))),
% 0.17/0.49      inference(modus_ponens,[status(thm)],[413, 412])).
% 0.17/0.49  tff(415,plain,
% 0.17/0.49      (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))),
% 0.17/0.49      inference(unit_resolution,[status(thm)],[414, 359, 126, 211, 367, 383, 195])).
% 0.17/0.49  tff(416,plain,
% 0.17/0.49      ($false),
% 0.17/0.49      inference(unit_resolution,[status(thm)],[415, 406])).
% 0.17/0.49  tff(417,plain,(multiply(sk_c6, sk_c4) = multiply(sk_c6, sk_c7)), inference(lemma,lemma(discharge,[]))).
% 0.17/0.49  tff(418,plain,
% 0.17/0.49      (multiply(sk_c6, sk_c4) = inverse(sk_c7)),
% 0.17/0.49      inference(transitivity,[status(thm)],[417, 314])).
% 0.17/0.49  tff(419,plain,
% 0.17/0.49      (multiply(multiply(sk_c6, sk_c4), sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 0.17/0.49      inference(monotonicity,[status(thm)],[418])).
% 0.17/0.49  tff(420,plain,
% 0.17/0.49      (multiply(inverse(sk_c7), sk_c7) = multiply(multiply(sk_c6, sk_c4), sk_c7)),
% 0.17/0.49      inference(symmetry,[status(thm)],[419])).
% 0.17/0.49  tff(421,plain,
% 0.17/0.49      (identity = inverse(sk_c7)),
% 0.17/0.49      inference(transitivity,[status(thm)],[168, 420, 352, 350, 337, 334, 243, 240, 314])).
% 0.17/0.49  tff(422,plain,
% 0.17/0.49      (multiply(identity, sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 0.17/0.49      inference(monotonicity,[status(thm)],[421])).
% 0.17/0.49  tff(423,plain,
% 0.17/0.49      (multiply(inverse(sk_c7), sk_c7) = multiply(identity, sk_c7)),
% 0.17/0.49      inference(symmetry,[status(thm)],[422])).
% 0.17/0.49  tff(424,plain,
% 0.17/0.49      (multiply(sk_c6, sk_c4) = inverse(sk_c6)),
% 0.17/0.49      inference(transitivity,[status(thm)],[417, 172])).
% 0.17/0.49  tff(425,plain,
% 0.17/0.49      (multiply(multiply(sk_c6, sk_c4), sk_c6) = multiply(inverse(sk_c6), sk_c6)),
% 0.17/0.49      inference(monotonicity,[status(thm)],[424])).
% 0.17/0.49  tff(426,plain,
% 0.17/0.49      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c4), sk_c6) = multiply(sk_c6, multiply(sk_c4, sk_c6)))),
% 0.17/0.49      inference(quant_inst,[status(thm)],[])).
% 0.17/0.49  tff(427,plain,
% 0.17/0.49      (multiply(multiply(sk_c6, sk_c4), sk_c6) = multiply(sk_c6, multiply(sk_c4, sk_c6))),
% 0.17/0.49      inference(unit_resolution,[status(thm)],[426, 37])).
% 0.17/0.49  tff(428,plain,
% 0.17/0.49      (multiply(sk_c6, multiply(sk_c4, sk_c6)) = multiply(multiply(sk_c6, sk_c4), sk_c6)),
% 0.17/0.49      inference(symmetry,[status(thm)],[427])).
% 0.17/0.49  tff(429,plain,
% 0.17/0.49      (multiply(sk_c4, sk_c6) = multiply(multiply(sk_c3, sk_c6), sk_c6)),
% 0.17/0.49      inference(monotonicity,[status(thm)],[342])).
% 0.17/0.49  tff(430,plain,
% 0.17/0.49      (multiply(multiply(sk_c3, sk_c6), sk_c6) = multiply(sk_c4, sk_c6)),
% 0.17/0.49      inference(symmetry,[status(thm)],[429])).
% 0.17/0.49  tff(431,plain,
% 0.17/0.49      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c6), sk_c6) = multiply(sk_c3, multiply(sk_c6, sk_c6)))),
% 0.17/0.49      inference(quant_inst,[status(thm)],[])).
% 0.17/0.49  tff(432,plain,
% 0.17/0.49      (multiply(multiply(sk_c3, sk_c6), sk_c6) = multiply(sk_c3, multiply(sk_c6, sk_c6))),
% 0.17/0.49      inference(unit_resolution,[status(thm)],[431, 37])).
% 0.17/0.49  tff(433,plain,
% 0.17/0.49      (multiply(sk_c3, multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c3, sk_c6), sk_c6)),
% 0.17/0.49      inference(symmetry,[status(thm)],[432])).
% 0.17/0.49  tff(434,plain,
% 0.17/0.49      (multiply(sk_c3, multiply(sk_c6, sk_c6)) = multiply(sk_c4, sk_c6)),
% 0.17/0.49      inference(transitivity,[status(thm)],[433, 430])).
% 0.17/0.49  tff(435,plain,
% 0.17/0.49      (multiply(sk_c6, multiply(sk_c3, multiply(sk_c6, sk_c6))) = multiply(sk_c6, multiply(sk_c4, sk_c6))),
% 0.17/0.49      inference(monotonicity,[status(thm)],[434])).
% 0.17/0.49  tff(436,plain,
% 0.17/0.49      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c6)) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c6, sk_c6))))),
% 0.17/0.49      inference(quant_inst,[status(thm)],[])).
% 0.17/0.49  tff(437,plain,
% 0.17/0.49      (multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c6)) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c6, sk_c6)))),
% 0.17/0.49      inference(unit_resolution,[status(thm)],[436, 37])).
% 0.17/0.49  tff(438,plain,
% 0.17/0.49      (multiply(identity, multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c6))),
% 0.17/0.49      inference(monotonicity,[status(thm)],[332])).
% 0.17/0.49  tff(439,plain,
% 0.17/0.49      (multiply(sk_c6, sk_c6) = sk_c7),
% 0.17/0.49      inference(transitivity,[status(thm)],[269, 272, 438, 437, 435, 428, 425, 114, 168, 423, 9])).
% 0.17/0.49  tff(440,plain,
% 0.17/0.49      (multiply(identity, sk_c6) = multiply(multiply(sk_c6, sk_c3), sk_c6)),
% 0.17/0.49      inference(monotonicity,[status(thm)],[332])).
% 0.17/0.49  tff(441,plain,
% 0.17/0.49      (multiply(multiply(sk_c6, sk_c3), sk_c6) = multiply(identity, sk_c6)),
% 0.17/0.49      inference(symmetry,[status(thm)],[440])).
% 0.17/0.49  tff(442,plain,
% 0.17/0.49      (multiply(sk_c6, multiply(sk_c3, sk_c6)) = multiply(sk_c6, sk_c4)),
% 0.17/0.49      inference(monotonicity,[status(thm)],[341])).
% 0.17/0.49  tff(443,plain,
% 0.17/0.49      (multiply(sk_c6, sk_c4) = multiply(sk_c6, multiply(sk_c3, sk_c6))),
% 0.17/0.49      inference(symmetry,[status(thm)],[442])).
% 0.17/0.49  tff(444,plain,
% 0.17/0.49      (multiply(sk_c6, sk_c7) = multiply(sk_c6, sk_c4)),
% 0.17/0.49      inference(symmetry,[status(thm)],[417])).
% 0.17/0.49  tff(445,plain,
% 0.17/0.49      (multiply(sk_c6, sk_c7) = sk_c6),
% 0.17/0.49      inference(transitivity,[status(thm)],[444, 443, 150, 441, 61])).
% 0.17/0.49  tff(446,plain,
% 0.17/0.49      (multiply(sk_c6, multiply(sk_c6, sk_c7)) = multiply(sk_c6, sk_c6)),
% 0.17/0.49      inference(monotonicity,[status(thm)],[445])).
% 0.17/0.49  tff(447,plain,
% 0.17/0.49      (multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6),
% 0.17/0.49      inference(transitivity,[status(thm)],[446, 269, 272, 438, 437, 435, 428, 425, 114, 168, 420, 352, 350, 337, 334, 243, 240, 444, 443, 150, 441, 61])).
% 0.17/0.49  tff(448,plain,
% 0.17/0.49      (inverse(sk_c6) = sk_c6),
% 0.17/0.49      inference(transitivity,[status(thm)],[126, 444, 443, 150, 441, 61])).
% 0.17/0.49  tff(449,plain,
% 0.17/0.49      ((~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6))),
% 0.17/0.49      inference(unit_resolution,[status(thm)],[208, 313])).
% 0.17/0.49  tff(450,plain,
% 0.17/0.49      (~(multiply(sk_c6, sk_c6) = sk_c7)),
% 0.17/0.49      inference(unit_resolution,[status(thm)],[449, 448, 447])).
% 0.17/0.49  tff(451,plain,
% 0.17/0.49      ($false),
% 0.17/0.49      inference(unit_resolution,[status(thm)],[450, 439])).
% 0.17/0.49  tff(452,plain,(multiply(sk_c1, sk_c6) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 0.17/0.49  tff(453,plain,
% 0.17/0.49      (multiply(sk_c6, multiply(sk_c1, sk_c6)) = multiply(sk_c6, sk_c7)),
% 0.17/0.49      inference(monotonicity,[status(thm)],[452])).
% 0.17/0.49  tff(454,plain,
% 0.17/0.49      (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c1, sk_c6))),
% 0.17/0.49      inference(symmetry,[status(thm)],[453])).
% 0.17/0.49  tff(455,plain,
% 0.17/0.49      (inverse(sk_c6) = sk_c6),
% 0.17/0.49      inference(transitivity,[status(thm)],[126, 454, 218, 217, 61])).
% 0.17/0.49  tff(456,plain,
% 0.17/0.49      (multiply(identity, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c6, sk_c1), multiply(sk_c6, sk_c7))),
% 0.17/0.49      inference(monotonicity,[status(thm)],[215])).
% 0.17/0.49  tff(457,plain,
% 0.17/0.49      (multiply(multiply(sk_c6, sk_c1), multiply(sk_c6, sk_c7)) = multiply(identity, multiply(sk_c6, sk_c7))),
% 0.17/0.49      inference(symmetry,[status(thm)],[456])).
% 0.17/0.49  tff(458,plain,
% 0.17/0.49      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c1), multiply(sk_c6, sk_c7)) = multiply(sk_c6, multiply(sk_c1, multiply(sk_c6, sk_c7))))),
% 0.17/0.49      inference(quant_inst,[status(thm)],[])).
% 0.17/0.49  tff(459,plain,
% 0.17/0.49      (multiply(multiply(sk_c6, sk_c1), multiply(sk_c6, sk_c7)) = multiply(sk_c6, multiply(sk_c1, multiply(sk_c6, sk_c7)))),
% 0.17/0.49      inference(unit_resolution,[status(thm)],[458, 37])).
% 0.17/0.49  tff(460,plain,
% 0.17/0.49      (multiply(sk_c6, multiply(sk_c1, multiply(sk_c6, sk_c7))) = multiply(multiply(sk_c6, sk_c1), multiply(sk_c6, sk_c7))),
% 0.17/0.49      inference(symmetry,[status(thm)],[459])).
% 0.17/0.49  tff(461,plain,
% 0.17/0.49      (sk_c7 = multiply(sk_c1, sk_c6)),
% 0.17/0.49      inference(symmetry,[status(thm)],[452])).
% 0.17/0.49  tff(462,plain,
% 0.17/0.49      (multiply(sk_c7, sk_c7) = multiply(multiply(sk_c1, sk_c6), sk_c7)),
% 0.17/0.49      inference(monotonicity,[status(thm)],[461])).
% 0.17/0.49  tff(463,plain,
% 0.17/0.49      (multiply(multiply(sk_c1, sk_c6), sk_c7) = multiply(sk_c7, sk_c7)),
% 0.17/0.49      inference(symmetry,[status(thm)],[462])).
% 0.17/0.49  tff(464,plain,
% 0.17/0.49      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c6), sk_c7) = multiply(sk_c1, multiply(sk_c6, sk_c7)))),
% 0.17/0.49      inference(quant_inst,[status(thm)],[])).
% 0.17/0.49  tff(465,plain,
% 0.17/0.49      (multiply(multiply(sk_c1, sk_c6), sk_c7) = multiply(sk_c1, multiply(sk_c6, sk_c7))),
% 0.17/0.49      inference(unit_resolution,[status(thm)],[464, 37])).
% 0.17/0.49  tff(466,plain,
% 0.17/0.49      (multiply(sk_c1, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c1, sk_c6), sk_c7)),
% 0.17/0.49      inference(symmetry,[status(thm)],[465])).
% 0.17/0.49  tff(467,plain,
% 0.17/0.49      (multiply(sk_c1, multiply(sk_c6, sk_c7)) = multiply(sk_c7, sk_c7)),
% 0.17/0.49      inference(transitivity,[status(thm)],[466, 463])).
% 0.17/0.49  tff(468,plain,
% 0.17/0.49      (multiply(sk_c6, multiply(sk_c1, multiply(sk_c6, sk_c7))) = multiply(sk_c6, multiply(sk_c7, sk_c7))),
% 0.17/0.49      inference(monotonicity,[status(thm)],[467])).
% 0.17/0.49  tff(469,plain,
% 0.17/0.49      (multiply(sk_c6, multiply(sk_c7, sk_c7)) = multiply(sk_c6, multiply(sk_c1, multiply(sk_c6, sk_c7)))),
% 0.17/0.49      inference(symmetry,[status(thm)],[468])).
% 0.17/0.49  tff(470,plain,
% 0.17/0.49      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), sk_c7) = multiply(sk_c6, multiply(sk_c7, sk_c7)))),
% 0.17/0.49      inference(quant_inst,[status(thm)],[])).
% 0.17/0.49  tff(471,plain,
% 0.17/0.49      (multiply(multiply(sk_c6, sk_c7), sk_c7) = multiply(sk_c6, multiply(sk_c7, sk_c7))),
% 0.17/0.49      inference(unit_resolution,[status(thm)],[470, 37])).
% 0.17/0.49  tff(472,plain,
% 0.17/0.49      (multiply(multiply(sk_c6, sk_c7), sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 0.17/0.49      inference(monotonicity,[status(thm)],[314])).
% 0.17/0.49  tff(473,plain,
% 0.17/0.49      (multiply(inverse(sk_c7), sk_c7) = multiply(multiply(sk_c6, sk_c7), sk_c7)),
% 0.17/0.49      inference(symmetry,[status(thm)],[472])).
% 0.17/0.49  tff(474,plain,
% 0.17/0.49      (multiply(sk_c7, sk_c6) = multiply(multiply(sk_c1, sk_c6), sk_c6)),
% 0.17/0.49      inference(monotonicity,[status(thm)],[461])).
% 0.17/0.49  tff(475,plain,
% 0.17/0.49      (multiply(multiply(sk_c1, sk_c6), sk_c6) = multiply(sk_c7, sk_c6)),
% 0.17/0.49      inference(symmetry,[status(thm)],[474])).
% 0.17/0.49  tff(476,plain,
% 0.17/0.49      (multiply(sk_c1, multiply(sk_c6, sk_c6)) = multiply(sk_c7, sk_c6)),
% 0.17/0.49      inference(transitivity,[status(thm)],[282, 475])).
% 0.17/0.49  tff(477,plain,
% 0.17/0.49      (multiply(sk_c6, multiply(sk_c1, multiply(sk_c6, sk_c6))) = multiply(sk_c6, multiply(sk_c7, sk_c6))),
% 0.17/0.49      inference(monotonicity,[status(thm)],[476])).
% 0.17/0.49  tff(478,plain,
% 0.17/0.49      (multiply(sk_c6, sk_c7) = sk_c6),
% 0.17/0.49      inference(transitivity,[status(thm)],[454, 218, 217, 61])).
% 0.17/0.49  tff(479,plain,
% 0.17/0.49      (multiply(sk_c6, multiply(sk_c6, sk_c7)) = multiply(sk_c6, sk_c6)),
% 0.17/0.49      inference(monotonicity,[status(thm)],[478])).
% 0.17/0.49  tff(480,plain,
% 0.17/0.49      (multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6),
% 0.17/0.49      inference(transitivity,[status(thm)],[479, 269, 272, 274, 277, 477, 303, 293, 114, 168, 473, 471, 469, 460, 457, 243, 240, 454, 218, 217, 61])).
% 0.17/0.49  tff(481,plain,
% 0.17/0.49      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c6) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)))) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c6) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 0.17/0.49      inference(rewrite,[status(thm)],[])).
% 0.17/0.49  tff(482,plain,
% 0.17/0.49      (((~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | $false | (~(multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6))) <=> ((~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c6) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 0.17/0.49      inference(rewrite,[status(thm)],[])).
% 0.17/0.49  tff(483,plain,
% 0.17/0.49      (((~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6))) <=> ((~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | $false | (~(multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 0.17/0.49      inference(monotonicity,[status(thm)],[201])).
% 0.17/0.49  tff(484,plain,
% 0.17/0.49      (((~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6))) <=> ((~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c6) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 0.17/0.49      inference(transitivity,[status(thm)],[483, 482])).
% 0.17/0.49  tff(485,plain,
% 0.17/0.49      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c6) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6))))),
% 0.17/0.50      inference(monotonicity,[status(thm)],[484])).
% 0.17/0.50  tff(486,plain,
% 0.17/0.50      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)))) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c6) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 0.17/0.50      inference(transitivity,[status(thm)],[485, 481])).
% 0.17/0.50  tff(487,plain,
% 0.17/0.50      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 0.17/0.50      inference(quant_inst,[status(thm)],[])).
% 0.17/0.50  tff(488,plain,
% 0.17/0.50      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X2, sk_c6) = X1)) | (~(inverse(X4) = sk_c6)) | (~(inverse(X3) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c6, X1) = multiply(sk_c6, sk_c7))) | (~(multiply(X4, multiply(sk_c6, sk_c7)) = sk_c6)))) | (~(inverse(sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c6) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6))),
% 0.17/0.50      inference(modus_ponens,[status(thm)],[487, 486])).
% 0.17/0.50  tff(489,plain,
% 0.17/0.50      ((~(inverse(sk_c7) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6))),
% 0.17/0.50      inference(unit_resolution,[status(thm)],[488, 126, 211, 195])).
% 0.17/0.50  tff(490,plain,
% 0.17/0.50      ((~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(multiply(sk_c6, multiply(sk_c6, sk_c7)) = sk_c6))),
% 0.17/0.50      inference(unit_resolution,[status(thm)],[489, 313])).
% 0.17/0.50  tff(491,plain,
% 0.17/0.50      ($false),
% 0.17/0.50      inference(unit_resolution,[status(thm)],[490, 480, 455, 452])).
% 0.17/0.50  % SZS output end Proof
%------------------------------------------------------------------------------