%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : GRP302-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n003.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 22:27:04 EDT 2022

% Result   : Unsatisfiable 2.19s 1.63s
% Output   : Proof 2.25s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP302-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Aug 31 16:11:23 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34  Usage: tptp [options] [-file:]file
% 0.13/0.34    -h, -?       prints this message.
% 0.13/0.34    -smt2        print SMT-LIB2 benchmark.
% 0.13/0.34    -m, -model   generate model.
% 0.13/0.34    -p, -proof   generate proof.
% 0.13/0.34    -c, -core    generate unsat core of named formulas.
% 0.13/0.34    -st, -statistics display statistics.
% 0.13/0.34    -t:timeout   set timeout (in second).
% 0.13/0.34    -smt2status  display status in smt2 format instead of SZS.
% 0.13/0.34    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34    -<param>:<value> configuration parameter and value.
% 0.13/0.34    -o:<output-file> file to place output in.
% 2.19/1.63  % SZS status Unsatisfiable
% 2.19/1.63  % SZS output start Proof
% 2.19/1.63  tff(inverse_type, type, (
% 2.19/1.63     inverse: $i > $i)).
% 2.19/1.63  tff(sk_c8_type, type, (
% 2.19/1.63     sk_c8: $i)).
% 2.19/1.63  tff(multiply_type, type, (
% 2.19/1.63     multiply: ( $i * $i ) > $i)).
% 2.19/1.63  tff(sk_c7_type, type, (
% 2.19/1.63     sk_c7: $i)).
% 2.19/1.63  tff(sk_c1_type, type, (
% 2.19/1.63     sk_c1: $i)).
% 2.19/1.63  tff(sk_c3_type, type, (
% 2.19/1.63     sk_c3: $i)).
% 2.19/1.63  tff(identity_type, type, (
% 2.19/1.63     identity: $i)).
% 2.19/1.63  tff(sk_c2_type, type, (
% 2.19/1.63     sk_c2: $i)).
% 2.19/1.63  tff(sk_c6_type, type, (
% 2.19/1.63     sk_c6: $i)).
% 2.19/1.63  tff(sk_c4_type, type, (
% 2.19/1.63     sk_c4: $i)).
% 2.19/1.63  tff(sk_c5_type, type, (
% 2.19/1.63     sk_c5: $i)).
% 2.19/1.63  tff(1,plain,
% 2.19/1.63      ((inverse(sk_c8) = multiply(multiply(sk_c7, sk_c7), sk_c8)) <=> (multiply(multiply(sk_c7, sk_c7), sk_c8) = inverse(sk_c8))),
% 2.19/1.63      inference(commutativity,[status(thm)],[])).
% 2.19/1.63  tff(2,plain,
% 2.19/1.63      (^[Z: $i, Y: $i, X: $i] : refl((multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z))) <=> (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z))))),
% 2.19/1.63      inference(bind,[status(th)],[])).
% 2.19/1.63  tff(3,plain,
% 2.19/1.63      (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z))) <=> ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 2.19/1.63      inference(quant_intro,[status(thm)],[2])).
% 2.19/1.63  tff(4,plain,
% 2.19/1.63      (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z))) <=> ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 2.19/1.63      inference(rewrite,[status(thm)],[])).
% 2.19/1.63  tff(5,axiom,(![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','associativity')).
% 2.19/1.63  tff(6,plain,
% 2.19/1.63      (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 2.19/1.63      inference(modus_ponens,[status(thm)],[5, 4])).
% 2.19/1.63  tff(7,plain,(
% 2.19/1.63      ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 2.19/1.63      inference(skolemize,[status(sab)],[6])).
% 2.19/1.63  tff(8,plain,
% 2.19/1.63      (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 2.19/1.63      inference(modus_ponens,[status(thm)],[7, 3])).
% 2.19/1.63  tff(9,plain,
% 2.19/1.63      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), sk_c8) = multiply(sk_c7, multiply(sk_c7, sk_c8)))),
% 2.19/1.63      inference(quant_inst,[status(thm)],[])).
% 2.19/1.63  tff(10,plain,
% 2.19/1.63      (multiply(multiply(sk_c7, sk_c7), sk_c8) = multiply(sk_c7, multiply(sk_c7, sk_c8))),
% 2.19/1.63      inference(unit_resolution,[status(thm)],[9, 8])).
% 2.19/1.63  tff(11,plain,
% 2.19/1.63      (multiply(sk_c7, multiply(sk_c7, sk_c8)) = multiply(multiply(sk_c7, sk_c7), sk_c8)),
% 2.19/1.63      inference(symmetry,[status(thm)],[10])).
% 2.19/1.63  tff(12,plain,
% 2.19/1.63      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c7), sk_c1) = multiply(sk_c1, multiply(sk_c7, sk_c1)))),
% 2.19/1.63      inference(quant_inst,[status(thm)],[])).
% 2.19/1.63  tff(13,plain,
% 2.19/1.63      (multiply(multiply(sk_c1, sk_c7), sk_c1) = multiply(sk_c1, multiply(sk_c7, sk_c1))),
% 2.19/1.63      inference(unit_resolution,[status(thm)],[12, 8])).
% 2.19/1.63  tff(14,assumption,(~(inverse(sk_c1) = sk_c8)), introduced(assumption)).
% 2.19/1.63  tff(15,plain,
% 2.19/1.63      (((inverse(sk_c1) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c8)) <=> ((inverse(sk_c1) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c8))),
% 2.19/1.63      inference(rewrite,[status(thm)],[])).
% 2.19/1.63  tff(16,axiom,((inverse(sk_c1) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_4')).
% 2.19/1.63  tff(17,plain,
% 2.19/1.63      ((inverse(sk_c1) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c8)),
% 2.19/1.63      inference(modus_ponens,[status(thm)],[16, 15])).
% 2.19/1.63  tff(18,plain,
% 2.19/1.63      (multiply(sk_c3, sk_c7) = sk_c8),
% 2.19/1.63      inference(unit_resolution,[status(thm)],[17, 14])).
% 2.19/1.63  tff(19,plain,
% 2.19/1.63      (sk_c8 = multiply(sk_c3, sk_c7)),
% 2.19/1.63      inference(symmetry,[status(thm)],[18])).
% 2.19/1.63  tff(20,plain,
% 2.19/1.63      (multiply(sk_c8, sk_c8) = multiply(sk_c8, multiply(sk_c3, sk_c7))),
% 2.19/1.63      inference(monotonicity,[status(thm)],[19])).
% 2.19/1.63  tff(21,plain,
% 2.19/1.63      (multiply(sk_c8, multiply(sk_c3, sk_c7)) = multiply(sk_c8, sk_c8)),
% 2.19/1.63      inference(symmetry,[status(thm)],[20])).
% 2.19/1.63  tff(22,plain,
% 2.19/1.63      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c3), sk_c7) = multiply(sk_c8, multiply(sk_c3, sk_c7)))),
% 2.19/1.63      inference(quant_inst,[status(thm)],[])).
% 2.19/1.63  tff(23,plain,
% 2.19/1.63      (multiply(multiply(sk_c8, sk_c3), sk_c7) = multiply(sk_c8, multiply(sk_c3, sk_c7))),
% 2.19/1.63      inference(unit_resolution,[status(thm)],[22, 8])).
% 2.19/1.63  tff(24,plain,
% 2.19/1.63      (((inverse(sk_c1) = sk_c8) | (inverse(sk_c3) = sk_c8)) <=> ((inverse(sk_c1) = sk_c8) | (inverse(sk_c3) = sk_c8))),
% 2.19/1.63      inference(rewrite,[status(thm)],[])).
% 2.19/1.63  tff(25,axiom,((inverse(sk_c1) = sk_c8) | (inverse(sk_c3) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_3')).
% 2.19/1.63  tff(26,plain,
% 2.19/1.63      ((inverse(sk_c1) = sk_c8) | (inverse(sk_c3) = sk_c8)),
% 2.19/1.63      inference(modus_ponens,[status(thm)],[25, 24])).
% 2.19/1.63  tff(27,plain,
% 2.19/1.63      (inverse(sk_c3) = sk_c8),
% 2.19/1.63      inference(unit_resolution,[status(thm)],[26, 14])).
% 2.19/1.63  tff(28,plain,
% 2.19/1.63      (sk_c8 = inverse(sk_c3)),
% 2.19/1.63      inference(symmetry,[status(thm)],[27])).
% 2.19/1.63  tff(29,plain,
% 2.19/1.63      (multiply(sk_c8, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 2.19/1.63      inference(monotonicity,[status(thm)],[28])).
% 2.19/1.63  tff(30,plain,
% 2.19/1.63      (multiply(inverse(sk_c3), sk_c3) = multiply(sk_c8, sk_c3)),
% 2.19/1.63      inference(symmetry,[status(thm)],[29])).
% 2.19/1.63  tff(31,plain,
% 2.19/1.63      (^[X: $i] : refl((multiply(inverse(X), X) = identity) <=> (multiply(inverse(X), X) = identity))),
% 2.19/1.63      inference(bind,[status(th)],[])).
% 2.19/1.63  tff(32,plain,
% 2.19/1.63      (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 2.19/1.63      inference(quant_intro,[status(thm)],[31])).
% 2.19/1.63  tff(33,plain,
% 2.19/1.63      (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 2.19/1.63      inference(rewrite,[status(thm)],[])).
% 2.19/1.63  tff(34,axiom,(![X: $i] : (multiply(inverse(X), X) = identity)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','left_inverse')).
% 2.19/1.63  tff(35,plain,
% 2.19/1.63      (![X: $i] : (multiply(inverse(X), X) = identity)),
% 2.19/1.63      inference(modus_ponens,[status(thm)],[34, 33])).
% 2.19/1.63  tff(36,plain,(
% 2.19/1.63      ![X: $i] : (multiply(inverse(X), X) = identity)),
% 2.19/1.63      inference(skolemize,[status(sab)],[35])).
% 2.19/1.63  tff(37,plain,
% 2.19/1.63      (![X: $i] : (multiply(inverse(X), X) = identity)),
% 2.19/1.63      inference(modus_ponens,[status(thm)],[36, 32])).
% 2.19/1.63  tff(38,plain,
% 2.19/1.63      ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c3), sk_c3) = identity)),
% 2.19/1.63      inference(quant_inst,[status(thm)],[])).
% 2.19/1.63  tff(39,plain,
% 2.19/1.63      (multiply(inverse(sk_c3), sk_c3) = identity),
% 2.19/1.63      inference(unit_resolution,[status(thm)],[38, 37])).
% 2.19/1.63  tff(40,plain,
% 2.19/1.63      (identity = multiply(inverse(sk_c3), sk_c3)),
% 2.19/1.63      inference(symmetry,[status(thm)],[39])).
% 2.19/1.63  tff(41,plain,
% 2.19/1.63      (identity = multiply(sk_c8, sk_c3)),
% 2.19/1.63      inference(transitivity,[status(thm)],[40, 30])).
% 2.19/1.63  tff(42,plain,
% 2.19/1.63      (multiply(identity, sk_c7) = multiply(multiply(sk_c8, sk_c3), sk_c7)),
% 2.19/1.63      inference(monotonicity,[status(thm)],[41])).
% 2.19/1.63  tff(43,plain,
% 2.19/1.63      (^[X: $i] : refl((multiply(identity, X) = X) <=> (multiply(identity, X) = X))),
% 2.19/1.63      inference(bind,[status(th)],[])).
% 2.19/1.63  tff(44,plain,
% 2.19/1.63      (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 2.19/1.63      inference(quant_intro,[status(thm)],[43])).
% 2.19/1.63  tff(45,plain,
% 2.19/1.63      (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 2.19/1.63      inference(rewrite,[status(thm)],[])).
% 2.19/1.63  tff(46,axiom,(![X: $i] : (multiply(identity, X) = X)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','left_identity')).
% 2.19/1.63  tff(47,plain,
% 2.19/1.63      (![X: $i] : (multiply(identity, X) = X)),
% 2.19/1.63      inference(modus_ponens,[status(thm)],[46, 45])).
% 2.19/1.63  tff(48,plain,(
% 2.19/1.63      ![X: $i] : (multiply(identity, X) = X)),
% 2.19/1.63      inference(skolemize,[status(sab)],[47])).
% 2.19/1.63  tff(49,plain,
% 2.19/1.63      (![X: $i] : (multiply(identity, X) = X)),
% 2.19/1.63      inference(modus_ponens,[status(thm)],[48, 44])).
% 2.19/1.63  tff(50,plain,
% 2.19/1.63      ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c7) = sk_c7)),
% 2.19/1.63      inference(quant_inst,[status(thm)],[])).
% 2.19/1.63  tff(51,plain,
% 2.19/1.63      (multiply(identity, sk_c7) = sk_c7),
% 2.19/1.63      inference(unit_resolution,[status(thm)],[50, 49])).
% 2.19/1.63  tff(52,plain,
% 2.19/1.63      (sk_c7 = multiply(identity, sk_c7)),
% 2.19/1.63      inference(symmetry,[status(thm)],[51])).
% 2.19/1.63  tff(53,plain,
% 2.19/1.63      (sk_c7 = multiply(sk_c8, sk_c8)),
% 2.19/1.63      inference(transitivity,[status(thm)],[52, 42, 23, 21])).
% 2.19/1.63  tff(54,plain,
% 2.19/1.63      (multiply(sk_c8, sk_c7) = multiply(sk_c8, multiply(sk_c8, sk_c8))),
% 2.19/1.63      inference(monotonicity,[status(thm)],[53])).
% 2.19/1.63  tff(55,plain,
% 2.19/1.63      (multiply(sk_c8, multiply(sk_c8, sk_c8)) = multiply(sk_c8, sk_c7)),
% 2.19/1.63      inference(symmetry,[status(thm)],[54])).
% 2.19/1.63  tff(56,plain,
% 2.19/1.63      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c8), sk_c8) = multiply(sk_c8, multiply(sk_c8, sk_c8)))),
% 2.19/1.63      inference(quant_inst,[status(thm)],[])).
% 2.19/1.63  tff(57,plain,
% 2.19/1.63      (multiply(multiply(sk_c8, sk_c8), sk_c8) = multiply(sk_c8, multiply(sk_c8, sk_c8))),
% 2.19/1.63      inference(unit_resolution,[status(thm)],[56, 8])).
% 2.19/1.63  tff(58,plain,
% 2.19/1.63      ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c8), sk_c8) = identity)),
% 2.19/1.63      inference(quant_inst,[status(thm)],[])).
% 2.19/1.63  tff(59,plain,
% 2.19/1.63      (multiply(inverse(sk_c8), sk_c8) = identity),
% 2.19/1.63      inference(unit_resolution,[status(thm)],[58, 37])).
% 2.19/1.63  tff(60,plain,
% 2.19/1.63      (identity = multiply(inverse(sk_c8), sk_c8)),
% 2.19/1.63      inference(symmetry,[status(thm)],[59])).
% 2.19/1.63  tff(61,plain,
% 2.19/1.63      (multiply(identity, sk_c7) = multiply(multiply(inverse(sk_c8), sk_c8), sk_c7)),
% 2.19/1.63      inference(monotonicity,[status(thm)],[60])).
% 2.19/1.63  tff(62,plain,
% 2.19/1.63      (multiply(multiply(inverse(sk_c8), sk_c8), sk_c7) = multiply(identity, sk_c7)),
% 2.19/1.63      inference(symmetry,[status(thm)],[61])).
% 2.19/1.63  tff(63,plain,
% 2.19/1.63      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c8), sk_c8), sk_c7) = multiply(inverse(sk_c8), multiply(sk_c8, sk_c7)))),
% 2.19/1.63      inference(quant_inst,[status(thm)],[])).
% 2.19/1.63  tff(64,plain,
% 2.19/1.63      (multiply(multiply(inverse(sk_c8), sk_c8), sk_c7) = multiply(inverse(sk_c8), multiply(sk_c8, sk_c7))),
% 2.19/1.63      inference(unit_resolution,[status(thm)],[63, 8])).
% 2.19/1.63  tff(65,plain,
% 2.19/1.63      (multiply(inverse(sk_c8), multiply(sk_c8, sk_c7)) = multiply(multiply(inverse(sk_c8), sk_c8), sk_c7)),
% 2.19/1.63      inference(symmetry,[status(thm)],[64])).
% 2.19/1.63  tff(66,plain,
% 2.19/1.63      ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c1) = sk_c1)),
% 2.19/1.63      inference(quant_inst,[status(thm)],[])).
% 2.19/1.63  tff(67,plain,
% 2.19/1.63      (multiply(identity, sk_c1) = sk_c1),
% 2.19/1.63      inference(unit_resolution,[status(thm)],[66, 49])).
% 2.19/1.63  tff(68,plain,
% 2.19/1.63      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c8), sk_c1), sk_c7) = multiply(inverse(sk_c8), multiply(sk_c1, sk_c7)))),
% 2.19/1.63      inference(quant_inst,[status(thm)],[])).
% 2.19/1.63  tff(69,plain,
% 2.19/1.63      (multiply(multiply(inverse(sk_c8), sk_c1), sk_c7) = multiply(inverse(sk_c8), multiply(sk_c1, sk_c7))),
% 2.19/1.63      inference(unit_resolution,[status(thm)],[68, 8])).
% 2.19/1.63  tff(70,plain,
% 2.19/1.63      (multiply(inverse(sk_c8), multiply(sk_c1, sk_c7)) = multiply(multiply(inverse(sk_c8), sk_c1), sk_c7)),
% 2.19/1.63      inference(symmetry,[status(thm)],[69])).
% 2.19/1.63  tff(71,assumption,(~(inverse(sk_c8) = sk_c7)), introduced(assumption)).
% 2.19/1.63  tff(72,plain,
% 2.19/1.63      (((inverse(sk_c8) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c8)) <=> ((inverse(sk_c8) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c8))),
% 2.19/1.63      inference(rewrite,[status(thm)],[])).
% 2.19/1.63  tff(73,plain,
% 2.19/1.63      (((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c8) = sk_c7)) <=> ((inverse(sk_c8) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c8))),
% 2.19/1.63      inference(rewrite,[status(thm)],[])).
% 2.19/1.63  tff(74,axiom,((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c8) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_8')).
% 2.19/1.63  tff(75,plain,
% 2.19/1.63      ((inverse(sk_c8) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c8)),
% 2.19/1.63      inference(modus_ponens,[status(thm)],[74, 73])).
% 2.19/1.63  tff(76,plain,
% 2.19/1.63      ((inverse(sk_c8) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c8)),
% 2.19/1.63      inference(modus_ponens,[status(thm)],[75, 72])).
% 2.19/1.63  tff(77,plain,
% 2.19/1.63      (multiply(sk_c1, sk_c7) = sk_c8),
% 2.19/1.63      inference(unit_resolution,[status(thm)],[76, 71])).
% 2.19/1.63  tff(78,plain,
% 2.19/1.63      (multiply(inverse(sk_c8), multiply(sk_c1, sk_c7)) = multiply(inverse(sk_c8), sk_c8)),
% 2.19/1.63      inference(monotonicity,[status(thm)],[77])).
% 2.19/1.63  tff(79,plain,
% 2.19/1.63      (multiply(inverse(sk_c8), sk_c8) = multiply(inverse(sk_c8), multiply(sk_c1, sk_c7))),
% 2.19/1.63      inference(symmetry,[status(thm)],[78])).
% 2.19/1.63  tff(80,plain,
% 2.19/1.63      (identity = multiply(multiply(inverse(sk_c8), sk_c1), sk_c7)),
% 2.19/1.63      inference(transitivity,[status(thm)],[60, 79, 70])).
% 2.19/1.63  tff(81,plain,
% 2.19/1.63      (multiply(identity, sk_c1) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), sk_c7), sk_c1)),
% 2.19/1.63      inference(monotonicity,[status(thm)],[80])).
% 2.19/1.63  tff(82,plain,
% 2.19/1.63      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), sk_c7), sk_c1) = multiply(identity, sk_c1)),
% 2.19/1.63      inference(symmetry,[status(thm)],[81])).
% 2.19/1.63  tff(83,plain,
% 2.19/1.63      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c8), sk_c1), sk_c7), sk_c1) = multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)))),
% 2.19/1.63      inference(quant_inst,[status(thm)],[])).
% 2.19/1.63  tff(84,plain,
% 2.19/1.63      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), sk_c7), sk_c1) = multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))),
% 2.19/1.63      inference(unit_resolution,[status(thm)],[83, 8])).
% 2.19/1.63  tff(85,plain,
% 2.19/1.63      (multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), sk_c7), sk_c1)),
% 2.19/1.63      inference(symmetry,[status(thm)],[84])).
% 2.19/1.63  tff(86,plain,
% 2.19/1.63      (multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)) = sk_c1),
% 2.19/1.63      inference(transitivity,[status(thm)],[85, 82, 67])).
% 2.19/1.63  tff(87,plain,
% 2.19/1.63      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c7)) = multiply(sk_c1, multiply(sk_c7, sk_c7))),
% 2.19/1.63      inference(monotonicity,[status(thm)],[86])).
% 2.19/1.63  tff(88,plain,
% 2.19/1.63      (multiply(sk_c1, multiply(sk_c7, sk_c7)) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c7))),
% 2.19/1.63      inference(symmetry,[status(thm)],[87])).
% 2.19/1.63  tff(89,plain,
% 2.19/1.63      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c7), sk_c7) = multiply(sk_c1, multiply(sk_c7, sk_c7)))),
% 2.19/1.63      inference(quant_inst,[status(thm)],[])).
% 2.19/1.63  tff(90,plain,
% 2.19/1.63      (multiply(multiply(sk_c1, sk_c7), sk_c7) = multiply(sk_c1, multiply(sk_c7, sk_c7))),
% 2.19/1.63      inference(unit_resolution,[status(thm)],[89, 8])).
% 2.19/1.63  tff(91,plain,
% 2.19/1.63      (multiply(multiply(sk_c1, sk_c7), sk_c7) = multiply(sk_c8, sk_c7)),
% 2.19/1.63      inference(monotonicity,[status(thm)],[77])).
% 2.19/1.63  tff(92,plain,
% 2.19/1.63      (multiply(sk_c8, sk_c7) = multiply(multiply(sk_c1, sk_c7), sk_c7)),
% 2.19/1.63      inference(symmetry,[status(thm)],[91])).
% 2.19/1.63  tff(93,plain,
% 2.19/1.63      (multiply(sk_c8, sk_c7) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c7))),
% 2.19/1.63      inference(transitivity,[status(thm)],[92, 90, 88])).
% 2.19/1.63  tff(94,plain,
% 2.19/1.63      (multiply(inverse(sk_c8), multiply(sk_c8, sk_c7)) = multiply(inverse(sk_c8), multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c7)))),
% 2.19/1.63      inference(monotonicity,[status(thm)],[93])).
% 2.19/1.63  tff(95,plain,
% 2.19/1.63      (multiply(inverse(sk_c8), multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c7))) = multiply(inverse(sk_c8), multiply(sk_c8, sk_c7))),
% 2.19/1.63      inference(symmetry,[status(thm)],[94])).
% 2.19/1.63  tff(96,plain,
% 2.19/1.63      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c8), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), multiply(sk_c7, sk_c7)) = multiply(inverse(sk_c8), multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c7))))),
% 2.19/1.63      inference(quant_inst,[status(thm)],[])).
% 2.19/1.63  tff(97,plain,
% 2.19/1.63      (multiply(multiply(inverse(sk_c8), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), multiply(sk_c7, sk_c7)) = multiply(inverse(sk_c8), multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c7)))),
% 2.19/1.63      inference(unit_resolution,[status(thm)],[96, 8])).
% 2.19/1.63  tff(98,plain,
% 2.19/1.63      (multiply(inverse(sk_c8), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))) = multiply(inverse(sk_c8), sk_c1)),
% 2.19/1.63      inference(monotonicity,[status(thm)],[86])).
% 2.19/1.64  tff(99,plain,
% 2.19/1.64      (multiply(multiply(inverse(sk_c8), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), multiply(sk_c7, sk_c7)) = multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c7))),
% 2.19/1.64      inference(monotonicity,[status(thm)],[98])).
% 2.19/1.64  tff(100,plain,
% 2.19/1.64      (multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c7)) = multiply(multiply(inverse(sk_c8), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), multiply(sk_c7, sk_c7))),
% 2.19/1.64      inference(symmetry,[status(thm)],[99])).
% 2.19/1.64  tff(101,plain,
% 2.19/1.64      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c8), inverse(sk_c8)), identity) = multiply(inverse(sk_c8), multiply(inverse(sk_c8), identity)))),
% 2.19/1.64      inference(quant_inst,[status(thm)],[])).
% 2.19/1.64  tff(102,plain,
% 2.19/1.64      (multiply(multiply(inverse(sk_c8), inverse(sk_c8)), identity) = multiply(inverse(sk_c8), multiply(inverse(sk_c8), identity))),
% 2.19/1.64      inference(unit_resolution,[status(thm)],[101, 8])).
% 2.19/1.64  tff(103,plain,
% 2.19/1.64      (multiply(inverse(sk_c8), multiply(inverse(sk_c8), identity)) = multiply(multiply(inverse(sk_c8), inverse(sk_c8)), identity)),
% 2.19/1.64      inference(symmetry,[status(thm)],[102])).
% 2.19/1.64  tff(104,plain,
% 2.19/1.64      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)) = multiply(inverse(sk_c8), multiply(sk_c1, multiply(sk_c7, sk_c1))))),
% 2.19/1.64      inference(quant_inst,[status(thm)],[])).
% 2.19/1.64  tff(105,plain,
% 2.19/1.64      (multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)) = multiply(inverse(sk_c8), multiply(sk_c1, multiply(sk_c7, sk_c1)))),
% 2.19/1.64      inference(unit_resolution,[status(thm)],[104, 8])).
% 2.19/1.64  tff(106,plain,
% 2.19/1.64      (multiply(inverse(sk_c8), multiply(sk_c1, multiply(sk_c7, sk_c1))) = multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))),
% 2.19/1.64      inference(symmetry,[status(thm)],[105])).
% 2.19/1.64  tff(107,plain,
% 2.19/1.64      (((inverse(sk_c1) = sk_c8) | (inverse(sk_c8) = sk_c7)) <=> ((inverse(sk_c1) = sk_c8) | (inverse(sk_c8) = sk_c7))),
% 2.19/1.64      inference(rewrite,[status(thm)],[])).
% 2.19/1.64  tff(108,axiom,((inverse(sk_c1) = sk_c8) | (inverse(sk_c8) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_2')).
% 2.19/1.64  tff(109,plain,
% 2.19/1.64      ((inverse(sk_c1) = sk_c8) | (inverse(sk_c8) = sk_c7)),
% 2.19/1.64      inference(modus_ponens,[status(thm)],[108, 107])).
% 2.19/1.64  tff(110,plain,
% 2.19/1.64      (inverse(sk_c1) = sk_c8),
% 2.19/1.64      inference(unit_resolution,[status(thm)],[109, 71])).
% 2.19/1.64  tff(111,plain,
% 2.19/1.64      (sk_c8 = inverse(sk_c1)),
% 2.19/1.64      inference(symmetry,[status(thm)],[110])).
% 2.19/1.64  tff(112,plain,
% 2.19/1.64      (multiply(sk_c1, sk_c7) = inverse(sk_c1)),
% 2.19/1.64      inference(transitivity,[status(thm)],[77, 111])).
% 2.19/1.64  tff(113,plain,
% 2.19/1.64      (multiply(multiply(sk_c1, sk_c7), sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 2.19/1.64      inference(monotonicity,[status(thm)],[112])).
% 2.19/1.64  tff(114,plain,
% 2.19/1.64      (multiply(inverse(sk_c1), sk_c1) = multiply(multiply(sk_c1, sk_c7), sk_c1)),
% 2.19/1.64      inference(symmetry,[status(thm)],[113])).
% 2.19/1.64  tff(115,plain,
% 2.19/1.64      ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c1), sk_c1) = identity)),
% 2.19/1.64      inference(quant_inst,[status(thm)],[])).
% 2.19/1.64  tff(116,plain,
% 2.19/1.64      (multiply(inverse(sk_c1), sk_c1) = identity),
% 2.19/1.64      inference(unit_resolution,[status(thm)],[115, 37])).
% 2.19/1.64  tff(117,plain,
% 2.19/1.64      (identity = multiply(inverse(sk_c1), sk_c1)),
% 2.19/1.64      inference(symmetry,[status(thm)],[116])).
% 2.19/1.64  tff(118,plain,
% 2.19/1.64      (identity = multiply(sk_c1, multiply(sk_c7, sk_c1))),
% 2.19/1.64      inference(transitivity,[status(thm)],[117, 114, 13])).
% 2.19/1.64  tff(119,plain,
% 2.19/1.64      (multiply(inverse(sk_c8), identity) = multiply(inverse(sk_c8), multiply(sk_c1, multiply(sk_c7, sk_c1)))),
% 2.19/1.64      inference(monotonicity,[status(thm)],[118])).
% 2.19/1.64  tff(120,plain,
% 2.19/1.64      (multiply(inverse(sk_c8), identity) = sk_c1),
% 2.19/1.64      inference(transitivity,[status(thm)],[119, 106, 85, 82, 67])).
% 2.19/1.64  tff(121,plain,
% 2.19/1.64      (multiply(inverse(sk_c8), multiply(inverse(sk_c8), identity)) = multiply(inverse(sk_c8), sk_c1)),
% 2.19/1.64      inference(monotonicity,[status(thm)],[120])).
% 2.19/1.64  tff(122,plain,
% 2.19/1.64      (multiply(inverse(sk_c8), sk_c1) = multiply(inverse(sk_c8), multiply(inverse(sk_c8), identity))),
% 2.19/1.64      inference(symmetry,[status(thm)],[121])).
% 2.19/1.64  tff(123,plain,
% 2.19/1.64      (multiply(inverse(sk_c8), sk_c1) = multiply(multiply(inverse(sk_c8), inverse(sk_c8)), identity)),
% 2.19/1.64      inference(transitivity,[status(thm)],[122, 103])).
% 2.19/1.64  tff(124,plain,
% 2.19/1.64      (multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c7)) = multiply(multiply(multiply(inverse(sk_c8), inverse(sk_c8)), identity), multiply(sk_c7, sk_c7))),
% 2.19/1.64      inference(monotonicity,[status(thm)],[123])).
% 2.19/1.64  tff(125,plain,
% 2.19/1.64      (multiply(multiply(multiply(inverse(sk_c8), inverse(sk_c8)), identity), multiply(sk_c7, sk_c7)) = multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c7))),
% 2.19/1.64      inference(symmetry,[status(thm)],[124])).
% 2.19/1.64  tff(126,plain,
% 2.19/1.64      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c8), inverse(sk_c8)), identity), multiply(sk_c7, sk_c7)) = multiply(multiply(inverse(sk_c8), inverse(sk_c8)), multiply(identity, multiply(sk_c7, sk_c7))))),
% 2.19/1.64      inference(quant_inst,[status(thm)],[])).
% 2.19/1.64  tff(127,plain,
% 2.19/1.64      (multiply(multiply(multiply(inverse(sk_c8), inverse(sk_c8)), identity), multiply(sk_c7, sk_c7)) = multiply(multiply(inverse(sk_c8), inverse(sk_c8)), multiply(identity, multiply(sk_c7, sk_c7)))),
% 2.19/1.64      inference(unit_resolution,[status(thm)],[126, 8])).
% 2.19/1.64  tff(128,plain,
% 2.19/1.64      (multiply(multiply(inverse(sk_c8), inverse(sk_c8)), multiply(identity, multiply(sk_c7, sk_c7))) = multiply(multiply(multiply(inverse(sk_c8), inverse(sk_c8)), identity), multiply(sk_c7, sk_c7))),
% 2.19/1.64      inference(symmetry,[status(thm)],[127])).
% 2.19/1.64  tff(129,plain,
% 2.19/1.64      (multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), sk_c7), sk_c1)),
% 2.19/1.64      inference(monotonicity,[status(thm)],[80, 86])).
% 2.19/1.64  tff(130,plain,
% 2.19/1.64      (multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))) = sk_c1),
% 2.19/1.64      inference(transitivity,[status(thm)],[129, 82, 67])).
% 2.19/1.64  tff(131,plain,
% 2.19/1.64      (multiply(multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), sk_c7) = multiply(sk_c1, sk_c7)),
% 2.19/1.64      inference(monotonicity,[status(thm)],[130])).
% 2.19/1.64  tff(132,plain,
% 2.19/1.64      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), sk_c7) = multiply(identity, multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), sk_c7)))),
% 2.19/1.64      inference(quant_inst,[status(thm)],[])).
% 2.19/1.64  tff(133,plain,
% 2.19/1.64      (multiply(multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), sk_c7) = multiply(identity, multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), sk_c7))),
% 2.19/1.64      inference(unit_resolution,[status(thm)],[132, 8])).
% 2.19/1.64  tff(134,plain,
% 2.19/1.64      (multiply(identity, multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), sk_c7)) = multiply(multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), sk_c7)),
% 2.19/1.64      inference(symmetry,[status(thm)],[133])).
% 2.19/1.64  tff(135,plain,
% 2.19/1.64      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), sk_c7) = multiply(sk_c1, sk_c7)),
% 2.19/1.64      inference(monotonicity,[status(thm)],[86])).
% 2.19/1.64  tff(136,plain,
% 2.19/1.64      (multiply(sk_c1, sk_c7) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), sk_c7)),
% 2.19/1.64      inference(symmetry,[status(thm)],[135])).
% 2.19/1.64  tff(137,plain,
% 2.19/1.64      (sk_c8 = multiply(sk_c1, sk_c7)),
% 2.19/1.64      inference(symmetry,[status(thm)],[77])).
% 2.19/1.64  tff(138,plain,
% 2.19/1.64      (sk_c8 = multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), sk_c7)),
% 2.19/1.64      inference(transitivity,[status(thm)],[137, 136])).
% 2.19/1.64  tff(139,plain,
% 2.19/1.64      ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c2), sk_c2) = identity)),
% 2.19/1.64      inference(quant_inst,[status(thm)],[])).
% 2.19/1.64  tff(140,plain,
% 2.19/1.64      (multiply(inverse(sk_c2), sk_c2) = identity),
% 2.19/1.64      inference(unit_resolution,[status(thm)],[139, 37])).
% 2.19/1.64  tff(141,plain,
% 2.19/1.64      (((inverse(sk_c2) = sk_c8) | (inverse(sk_c8) = sk_c7)) <=> ((inverse(sk_c2) = sk_c8) | (inverse(sk_c8) = sk_c7))),
% 2.19/1.64      inference(rewrite,[status(thm)],[])).
% 2.19/1.64  tff(142,axiom,((inverse(sk_c2) = sk_c8) | (inverse(sk_c8) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_20')).
% 2.19/1.64  tff(143,plain,
% 2.19/1.64      ((inverse(sk_c2) = sk_c8) | (inverse(sk_c8) = sk_c7)),
% 2.19/1.64      inference(modus_ponens,[status(thm)],[142, 141])).
% 2.19/1.64  tff(144,plain,
% 2.19/1.64      (inverse(sk_c2) = sk_c8),
% 2.19/1.64      inference(unit_resolution,[status(thm)],[143, 71])).
% 2.19/1.64  tff(145,plain,
% 2.19/1.64      (sk_c8 = inverse(sk_c2)),
% 2.19/1.64      inference(symmetry,[status(thm)],[144])).
% 2.19/1.64  tff(146,plain,
% 2.19/1.64      (multiply(sk_c8, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 2.19/1.64      inference(monotonicity,[status(thm)],[145])).
% 2.19/1.64  tff(147,plain,
% 2.19/1.64      (multiply(sk_c8, sk_c2) = identity),
% 2.19/1.64      inference(transitivity,[status(thm)],[146, 140])).
% 2.19/1.64  tff(148,plain,
% 2.19/1.64      (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(identity, multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), sk_c7))),
% 2.19/1.64      inference(monotonicity,[status(thm)],[147, 138])).
% 2.19/1.64  tff(149,plain,
% 2.19/1.64      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(sk_c8, multiply(sk_c2, sk_c8)))),
% 2.19/1.64      inference(quant_inst,[status(thm)],[])).
% 2.19/1.64  tff(150,plain,
% 2.19/1.64      (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(sk_c8, multiply(sk_c2, sk_c8))),
% 2.19/1.64      inference(unit_resolution,[status(thm)],[149, 8])).
% 2.19/1.64  tff(151,plain,
% 2.19/1.64      (multiply(sk_c8, multiply(sk_c2, sk_c8)) = multiply(multiply(sk_c8, sk_c2), sk_c8)),
% 2.19/1.64      inference(symmetry,[status(thm)],[150])).
% 2.19/1.64  tff(152,plain,
% 2.19/1.64      (((inverse(sk_c8) = sk_c7) | (multiply(sk_c2, sk_c8) = sk_c6)) <=> ((inverse(sk_c8) = sk_c7) | (multiply(sk_c2, sk_c8) = multiply(sk_c8, sk_c7)))),
% 2.19/1.64      inference(rewrite,[status(thm)],[])).
% 2.19/1.64  tff(153,plain,
% 2.19/1.64      (((inverse(sk_c8) = sk_c7) | (multiply(sk_c2, sk_c8) = sk_c6)) <=> ((inverse(sk_c8) = sk_c7) | (multiply(sk_c2, sk_c8) = sk_c6))),
% 2.19/1.64      inference(rewrite,[status(thm)],[])).
% 2.19/1.64  tff(154,plain,
% 2.19/1.64      (((multiply(sk_c2, sk_c8) = sk_c6) | (inverse(sk_c8) = sk_c7)) <=> ((inverse(sk_c8) = sk_c7) | (multiply(sk_c2, sk_c8) = sk_c6))),
% 2.19/1.64      inference(rewrite,[status(thm)],[])).
% 2.19/1.64  tff(155,axiom,((multiply(sk_c2, sk_c8) = sk_c6) | (inverse(sk_c8) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_14')).
% 2.19/1.64  tff(156,plain,
% 2.19/1.64      ((inverse(sk_c8) = sk_c7) | (multiply(sk_c2, sk_c8) = sk_c6)),
% 2.19/1.64      inference(modus_ponens,[status(thm)],[155, 154])).
% 2.19/1.64  tff(157,plain,
% 2.19/1.64      ((inverse(sk_c8) = sk_c7) | (multiply(sk_c2, sk_c8) = sk_c6)),
% 2.19/1.64      inference(modus_ponens,[status(thm)],[156, 153])).
% 2.19/1.64  tff(158,plain,
% 2.19/1.64      ((inverse(sk_c8) = sk_c7) | (multiply(sk_c2, sk_c8) = multiply(sk_c8, sk_c7))),
% 2.19/1.64      inference(modus_ponens,[status(thm)],[157, 152])).
% 2.19/1.64  tff(159,plain,
% 2.19/1.64      (multiply(sk_c2, sk_c8) = multiply(sk_c8, sk_c7)),
% 2.19/1.64      inference(unit_resolution,[status(thm)],[158, 71])).
% 2.19/1.64  tff(160,plain,
% 2.19/1.64      (multiply(sk_c8, sk_c7) = multiply(sk_c2, sk_c8)),
% 2.19/1.64      inference(symmetry,[status(thm)],[159])).
% 2.19/1.64  tff(161,plain,
% 2.19/1.64      (multiply(sk_c1, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c1, sk_c7), sk_c7)),
% 2.19/1.64      inference(symmetry,[status(thm)],[90])).
% 2.19/1.64  tff(162,plain,
% 2.19/1.64      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c7)) = multiply(sk_c2, sk_c8)),
% 2.19/1.64      inference(transitivity,[status(thm)],[87, 161, 91, 160])).
% 2.19/1.64  tff(163,plain,
% 2.19/1.64      (multiply(sk_c8, multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c7))) = multiply(sk_c8, multiply(sk_c2, sk_c8))),
% 2.19/1.64      inference(monotonicity,[status(thm)],[162])).
% 2.19/1.64  tff(164,plain,
% 2.19/1.64      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), multiply(sk_c7, sk_c7)) = multiply(sk_c8, multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c7))))),
% 2.19/1.64      inference(quant_inst,[status(thm)],[])).
% 2.19/1.64  tff(165,plain,
% 2.19/1.64      (multiply(multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), multiply(sk_c7, sk_c7)) = multiply(sk_c8, multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c7)))),
% 2.19/1.64      inference(unit_resolution,[status(thm)],[164, 8])).
% 2.19/1.64  tff(166,plain,
% 2.19/1.64      (multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))) = multiply(multiply(sk_c1, sk_c7), sk_c1)),
% 2.19/1.64      inference(monotonicity,[status(thm)],[137, 86])).
% 2.19/1.64  tff(167,plain,
% 2.19/1.64      (multiply(multiply(sk_c1, sk_c7), sk_c1) = multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)))),
% 2.19/1.64      inference(symmetry,[status(thm)],[166])).
% 2.19/1.64  tff(168,plain,
% 2.19/1.64      (identity = multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)))),
% 2.19/1.64      inference(transitivity,[status(thm)],[117, 114, 167])).
% 2.19/1.64  tff(169,plain,
% 2.19/1.64      (multiply(identity, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), multiply(sk_c7, sk_c7))),
% 2.19/1.64      inference(monotonicity,[status(thm)],[168])).
% 2.19/1.64  tff(170,plain,
% 2.19/1.64      (multiply(identity, multiply(sk_c7, sk_c7)) = sk_c8),
% 2.19/1.64      inference(transitivity,[status(thm)],[169, 165, 163, 151, 148, 134, 131, 77])).
% 2.19/1.64  tff(171,plain,
% 2.19/1.64      (multiply(multiply(inverse(sk_c8), inverse(sk_c8)), multiply(identity, multiply(sk_c7, sk_c7))) = multiply(multiply(inverse(sk_c8), inverse(sk_c8)), sk_c8)),
% 2.19/1.64      inference(monotonicity,[status(thm)],[170])).
% 2.19/1.64  tff(172,plain,
% 2.19/1.64      (multiply(multiply(inverse(sk_c8), inverse(sk_c8)), sk_c8) = multiply(multiply(inverse(sk_c8), inverse(sk_c8)), multiply(identity, multiply(sk_c7, sk_c7)))),
% 2.19/1.64      inference(symmetry,[status(thm)],[171])).
% 2.19/1.64  tff(173,plain,
% 2.19/1.64      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c8), inverse(sk_c8)), sk_c8) = multiply(inverse(sk_c8), multiply(inverse(sk_c8), sk_c8)))),
% 2.19/1.64      inference(quant_inst,[status(thm)],[])).
% 2.19/1.64  tff(174,plain,
% 2.19/1.64      (multiply(multiply(inverse(sk_c8), inverse(sk_c8)), sk_c8) = multiply(inverse(sk_c8), multiply(inverse(sk_c8), sk_c8))),
% 2.19/1.64      inference(unit_resolution,[status(thm)],[173, 8])).
% 2.19/1.64  tff(175,plain,
% 2.19/1.64      (multiply(inverse(sk_c8), multiply(inverse(sk_c8), sk_c8)) = multiply(multiply(inverse(sk_c8), inverse(sk_c8)), sk_c8)),
% 2.19/1.64      inference(symmetry,[status(thm)],[174])).
% 2.19/1.64  tff(176,plain,
% 2.19/1.64      (multiply(inverse(sk_c8), sk_c8) = multiply(sk_c1, multiply(sk_c7, sk_c1))),
% 2.19/1.64      inference(transitivity,[status(thm)],[59, 117, 114, 13])).
% 2.19/1.64  tff(177,plain,
% 2.19/1.64      (multiply(inverse(sk_c8), multiply(inverse(sk_c8), sk_c8)) = multiply(inverse(sk_c8), multiply(sk_c1, multiply(sk_c7, sk_c1)))),
% 2.19/1.64      inference(monotonicity,[status(thm)],[176])).
% 2.19/1.64  tff(178,plain,
% 2.19/1.64      (multiply(inverse(sk_c8), multiply(sk_c1, multiply(sk_c7, sk_c1))) = multiply(inverse(sk_c8), multiply(inverse(sk_c8), sk_c8))),
% 2.19/1.64      inference(symmetry,[status(thm)],[177])).
% 2.19/1.64  tff(179,plain,
% 2.19/1.64      (multiply(identity, multiply(inverse(sk_c8), identity)) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), sk_c7), sk_c1)),
% 2.19/1.64      inference(monotonicity,[status(thm)],[80, 120])).
% 2.19/1.64  tff(180,plain,
% 2.19/1.64      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, inverse(sk_c8)), identity) = multiply(identity, multiply(inverse(sk_c8), identity)))),
% 2.19/1.64      inference(quant_inst,[status(thm)],[])).
% 2.19/1.64  tff(181,plain,
% 2.19/1.64      (multiply(multiply(identity, inverse(sk_c8)), identity) = multiply(identity, multiply(inverse(sk_c8), identity))),
% 2.19/1.64      inference(unit_resolution,[status(thm)],[180, 8])).
% 2.19/1.64  tff(182,plain,
% 2.19/1.64      (multiply(sk_c1, multiply(sk_c7, sk_c1)) = multiply(multiply(sk_c1, sk_c7), sk_c1)),
% 2.19/1.64      inference(symmetry,[status(thm)],[13])).
% 2.19/1.64  tff(183,plain,
% 2.19/1.64      (multiply(multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), multiply(sk_c7, sk_c1)) = multiply(sk_c1, multiply(sk_c7, sk_c1))),
% 2.19/1.64      inference(monotonicity,[status(thm)],[130])).
% 2.19/1.64  tff(184,plain,
% 2.19/1.64      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), multiply(sk_c7, sk_c1)) = multiply(identity, multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c1))))),
% 2.19/1.64      inference(quant_inst,[status(thm)],[])).
% 2.19/1.64  tff(185,plain,
% 2.19/1.64      (multiply(multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), multiply(sk_c7, sk_c1)) = multiply(identity, multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c1)))),
% 2.19/1.64      inference(unit_resolution,[status(thm)],[184, 8])).
% 2.19/1.64  tff(186,plain,
% 2.19/1.64      (multiply(identity, multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c1))) = multiply(multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), multiply(sk_c7, sk_c1))),
% 2.19/1.64      inference(symmetry,[status(thm)],[185])).
% 2.19/1.64  tff(187,plain,
% 2.19/1.64      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c1)) = multiply(sk_c1, multiply(sk_c7, sk_c1))),
% 2.19/1.64      inference(monotonicity,[status(thm)],[86])).
% 2.19/1.64  tff(188,plain,
% 2.19/1.64      (multiply(sk_c1, multiply(sk_c7, sk_c1)) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c1))),
% 2.19/1.64      inference(symmetry,[status(thm)],[187])).
% 2.19/1.64  tff(189,plain,
% 2.19/1.64      (identity = multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c1))),
% 2.19/1.64      inference(transitivity,[status(thm)],[117, 114, 13, 188])).
% 2.19/1.64  tff(190,plain,
% 2.19/1.64      (multiply(identity, identity) = multiply(identity, multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c1)))),
% 2.19/1.64      inference(monotonicity,[status(thm)],[189])).
% 2.19/1.64  tff(191,plain,
% 2.19/1.64      (multiply(identity, identity) = identity),
% 2.19/1.64      inference(transitivity,[status(thm)],[190, 186, 183, 182, 113, 116])).
% 2.19/1.64  tff(192,plain,
% 2.19/1.64      (multiply(multiply(identity, inverse(sk_c8)), multiply(identity, identity)) = multiply(multiply(identity, inverse(sk_c8)), identity)),
% 2.19/1.64      inference(monotonicity,[status(thm)],[191])).
% 2.19/1.64  tff(193,plain,
% 2.19/1.64      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(identity, inverse(sk_c8)), identity), identity) = multiply(multiply(identity, inverse(sk_c8)), multiply(identity, identity)))),
% 2.19/1.64      inference(quant_inst,[status(thm)],[])).
% 2.19/1.64  tff(194,plain,
% 2.19/1.64      (multiply(multiply(multiply(identity, inverse(sk_c8)), identity), identity) = multiply(multiply(identity, inverse(sk_c8)), multiply(identity, identity))),
% 2.19/1.64      inference(unit_resolution,[status(thm)],[193, 8])).
% 2.19/1.64  tff(195,plain,
% 2.19/1.64      (multiply(identity, multiply(inverse(sk_c8), identity)) = multiply(multiply(identity, inverse(sk_c8)), identity)),
% 2.19/1.64      inference(symmetry,[status(thm)],[181])).
% 2.19/1.64  tff(196,plain,
% 2.19/1.64      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), sk_c7), sk_c1) = multiply(identity, multiply(inverse(sk_c8), identity))),
% 2.19/1.64      inference(symmetry,[status(thm)],[179])).
% 2.19/1.64  tff(197,plain,
% 2.19/1.64      (multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)) = multiply(multiply(identity, inverse(sk_c8)), identity)),
% 2.19/1.64      inference(transitivity,[status(thm)],[85, 196, 195])).
% 2.19/1.64  tff(198,plain,
% 2.19/1.64      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), identity) = multiply(multiply(multiply(identity, inverse(sk_c8)), identity), identity)),
% 2.19/1.64      inference(monotonicity,[status(thm)],[197])).
% 2.19/1.64  tff(199,plain,
% 2.19/1.64      ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(inverse(sk_c8)), inverse(sk_c8)) = identity)),
% 2.19/1.64      inference(quant_inst,[status(thm)],[])).
% 2.19/1.64  tff(200,plain,
% 2.19/1.64      (multiply(inverse(inverse(sk_c8)), inverse(sk_c8)) = identity),
% 2.19/1.64      inference(unit_resolution,[status(thm)],[199, 37])).
% 2.19/1.64  tff(201,plain,
% 2.19/1.64      ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, inverse(sk_c8)) = inverse(sk_c8))),
% 2.19/1.64      inference(quant_inst,[status(thm)],[])).
% 2.19/1.64  tff(202,plain,
% 2.19/1.64      (multiply(identity, inverse(sk_c8)) = inverse(sk_c8)),
% 2.19/1.64      inference(unit_resolution,[status(thm)],[201, 49])).
% 2.19/1.64  tff(203,plain,
% 2.19/1.64      (multiply(inverse(inverse(sk_c8)), multiply(identity, inverse(sk_c8))) = multiply(inverse(inverse(sk_c8)), inverse(sk_c8))),
% 2.19/1.64      inference(monotonicity,[status(thm)],[202])).
% 2.19/1.64  tff(204,plain,
% 2.19/1.64      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(inverse(sk_c8)), identity), inverse(sk_c8)) = multiply(inverse(inverse(sk_c8)), multiply(identity, inverse(sk_c8))))),
% 2.19/1.64      inference(quant_inst,[status(thm)],[])).
% 2.19/1.64  tff(205,plain,
% 2.19/1.64      (multiply(multiply(inverse(inverse(sk_c8)), identity), inverse(sk_c8)) = multiply(inverse(inverse(sk_c8)), multiply(identity, inverse(sk_c8)))),
% 2.19/1.64      inference(unit_resolution,[status(thm)],[204, 8])).
% 2.19/1.64  tff(206,plain,
% 2.19/1.64      (multiply(inverse(inverse(sk_c8)), identity) = multiply(inverse(inverse(sk_c8)), multiply(multiply(inverse(sk_c8), sk_c1), sk_c7))),
% 2.19/1.64      inference(monotonicity,[status(thm)],[80])).
% 2.19/1.64  tff(207,plain,
% 2.19/1.64      (multiply(inverse(inverse(sk_c8)), multiply(multiply(inverse(sk_c8), sk_c1), sk_c7)) = multiply(inverse(inverse(sk_c8)), identity)),
% 2.19/1.64      inference(symmetry,[status(thm)],[206])).
% 2.19/1.64  tff(208,plain,
% 2.19/1.64      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(inverse(sk_c8)), multiply(inverse(sk_c8), sk_c1)), sk_c7) = multiply(inverse(inverse(sk_c8)), multiply(multiply(inverse(sk_c8), sk_c1), sk_c7)))),
% 2.19/1.64      inference(quant_inst,[status(thm)],[])).
% 2.19/1.64  tff(209,plain,
% 2.19/1.64      (multiply(multiply(inverse(inverse(sk_c8)), multiply(inverse(sk_c8), sk_c1)), sk_c7) = multiply(inverse(inverse(sk_c8)), multiply(multiply(inverse(sk_c8), sk_c1), sk_c7))),
% 2.19/1.64      inference(unit_resolution,[status(thm)],[208, 8])).
% 2.19/1.64  tff(210,plain,
% 2.19/1.64      (multiply(inverse(inverse(sk_c8)), inverse(sk_c8)) = multiply(multiply(inverse(sk_c8), sk_c1), sk_c7)),
% 2.19/1.64      inference(transitivity,[status(thm)],[200, 60, 79, 70])).
% 2.19/1.64  tff(211,plain,
% 2.19/1.64      (multiply(multiply(inverse(inverse(sk_c8)), inverse(sk_c8)), sk_c1) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), sk_c7), sk_c1)),
% 2.19/1.64      inference(monotonicity,[status(thm)],[210])).
% 2.19/1.64  tff(212,plain,
% 2.19/1.64      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(inverse(sk_c8)), inverse(sk_c8)), sk_c1) = multiply(inverse(inverse(sk_c8)), multiply(inverse(sk_c8), sk_c1)))),
% 2.19/1.64      inference(quant_inst,[status(thm)],[])).
% 2.19/1.64  tff(213,plain,
% 2.19/1.64      (multiply(multiply(inverse(inverse(sk_c8)), inverse(sk_c8)), sk_c1) = multiply(inverse(inverse(sk_c8)), multiply(inverse(sk_c8), sk_c1))),
% 2.19/1.64      inference(unit_resolution,[status(thm)],[212, 8])).
% 2.19/1.64  tff(214,plain,
% 2.19/1.64      (multiply(inverse(inverse(sk_c8)), multiply(inverse(sk_c8), sk_c1)) = multiply(multiply(inverse(inverse(sk_c8)), inverse(sk_c8)), sk_c1)),
% 2.19/1.64      inference(symmetry,[status(thm)],[213])).
% 2.19/1.64  tff(215,plain,
% 2.19/1.64      (multiply(inverse(inverse(sk_c8)), multiply(inverse(sk_c8), sk_c1)) = sk_c1),
% 2.19/1.64      inference(transitivity,[status(thm)],[214, 211, 82, 67])).
% 2.19/1.64  tff(216,plain,
% 2.19/1.64      (multiply(multiply(inverse(inverse(sk_c8)), multiply(inverse(sk_c8), sk_c1)), sk_c7) = multiply(sk_c1, sk_c7)),
% 2.19/1.64      inference(monotonicity,[status(thm)],[215])).
% 2.19/1.64  tff(217,plain,
% 2.19/1.64      (multiply(sk_c1, sk_c7) = multiply(multiply(inverse(inverse(sk_c8)), multiply(inverse(sk_c8), sk_c1)), sk_c7)),
% 2.19/1.64      inference(symmetry,[status(thm)],[216])).
% 2.19/1.64  tff(218,plain,
% 2.19/1.64      (sk_c8 = multiply(inverse(inverse(sk_c8)), identity)),
% 2.19/1.64      inference(transitivity,[status(thm)],[137, 217, 209, 207])).
% 2.19/1.64  tff(219,plain,
% 2.19/1.64      (multiply(sk_c8, inverse(sk_c8)) = multiply(multiply(inverse(inverse(sk_c8)), identity), inverse(sk_c8))),
% 2.19/1.64      inference(monotonicity,[status(thm)],[218])).
% 2.19/1.64  tff(220,plain,
% 2.19/1.64      (multiply(sk_c8, inverse(sk_c8)) = identity),
% 2.19/1.64      inference(transitivity,[status(thm)],[219, 205, 203, 200])).
% 2.19/1.64  tff(221,plain,
% 2.19/1.64      (multiply(sk_c8, sk_c2) = multiply(sk_c1, multiply(sk_c7, sk_c1))),
% 2.19/1.64      inference(transitivity,[status(thm)],[146, 140, 117, 114, 13])).
% 2.19/1.64  tff(222,plain,
% 2.19/1.64      (multiply(inverse(sk_c8), multiply(sk_c8, sk_c2)) = multiply(inverse(sk_c8), multiply(sk_c1, multiply(sk_c7, sk_c1)))),
% 2.19/1.64      inference(monotonicity,[status(thm)],[221])).
% 2.19/1.64  tff(223,plain,
% 2.19/1.64      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c8), sk_c8), sk_c2) = multiply(inverse(sk_c8), multiply(sk_c8, sk_c2)))),
% 2.19/1.64      inference(quant_inst,[status(thm)],[])).
% 2.19/1.64  tff(224,plain,
% 2.19/1.64      (multiply(multiply(inverse(sk_c8), sk_c8), sk_c2) = multiply(inverse(sk_c8), multiply(sk_c8, sk_c2))),
% 2.19/1.64      inference(unit_resolution,[status(thm)],[223, 8])).
% 2.19/1.64  tff(225,plain,
% 2.19/1.64      (multiply(identity, sk_c2) = multiply(multiply(inverse(sk_c8), sk_c8), sk_c2)),
% 2.19/1.64      inference(monotonicity,[status(thm)],[60])).
% 2.19/1.64  tff(226,plain,
% 2.19/1.64      ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c2) = sk_c2)),
% 2.19/1.64      inference(quant_inst,[status(thm)],[])).
% 2.19/1.64  tff(227,plain,
% 2.19/1.64      (multiply(identity, sk_c2) = sk_c2),
% 2.19/1.64      inference(unit_resolution,[status(thm)],[226, 49])).
% 2.19/1.64  tff(228,plain,
% 2.19/1.64      (sk_c2 = multiply(identity, sk_c2)),
% 2.19/1.64      inference(symmetry,[status(thm)],[227])).
% 2.19/1.64  tff(229,plain,
% 2.19/1.64      (sk_c2 = multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))),
% 2.19/1.64      inference(transitivity,[status(thm)],[228, 225, 224, 222, 106])).
% 2.19/1.64  tff(230,plain,
% 2.19/1.64      (multiply(sk_c2, multiply(sk_c8, inverse(sk_c8))) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), identity)),
% 2.19/1.64      inference(monotonicity,[status(thm)],[229, 220])).
% 2.19/1.64  tff(231,plain,
% 2.19/1.64      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c8), inverse(sk_c8)) = multiply(sk_c2, multiply(sk_c8, inverse(sk_c8))))),
% 2.19/1.64      inference(quant_inst,[status(thm)],[])).
% 2.19/1.64  tff(232,plain,
% 2.19/1.64      (multiply(multiply(sk_c2, sk_c8), inverse(sk_c8)) = multiply(sk_c2, multiply(sk_c8, inverse(sk_c8)))),
% 2.19/1.64      inference(unit_resolution,[status(thm)],[231, 8])).
% 2.19/1.64  tff(233,plain,
% 2.19/1.64      (multiply(multiply(sk_c8, sk_c7), inverse(sk_c8)) = multiply(multiply(sk_c2, sk_c8), inverse(sk_c8))),
% 2.19/1.64      inference(monotonicity,[status(thm)],[160])).
% 2.19/1.64  tff(234,plain,
% 2.19/1.64      (multiply(sk_c2, sk_c8) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), sk_c8)),
% 2.19/1.64      inference(monotonicity,[status(thm)],[229])).
% 2.19/1.64  tff(235,plain,
% 2.19/1.64      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), sk_c8) = multiply(sk_c2, sk_c8)),
% 2.19/1.64      inference(symmetry,[status(thm)],[234])).
% 2.19/1.64  tff(236,plain,
% 2.19/1.64      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), sk_c8) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), sk_c7))),
% 2.19/1.64      inference(monotonicity,[status(thm)],[138])).
% 2.19/1.64  tff(237,plain,
% 2.19/1.64      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), sk_c7)) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), sk_c8)),
% 2.19/1.64      inference(symmetry,[status(thm)],[236])).
% 2.19/1.64  tff(238,plain,
% 2.19/1.64      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), sk_c7) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), sk_c7)))),
% 2.19/1.64      inference(quant_inst,[status(thm)],[])).
% 2.19/1.64  tff(239,plain,
% 2.19/1.64      (multiply(multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), sk_c7) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), sk_c7))),
% 2.19/1.64      inference(unit_resolution,[status(thm)],[238, 8])).
% 2.19/1.64  tff(240,plain,
% 2.19/1.64      (multiply(inverse(sk_c8), multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)))) = multiply(inverse(sk_c8), sk_c1)),
% 2.19/1.64      inference(monotonicity,[status(thm)],[130])).
% 2.19/1.64  tff(241,plain,
% 2.19/1.64      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c8), identity), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))) = multiply(inverse(sk_c8), multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)))))),
% 2.19/1.65      inference(quant_inst,[status(thm)],[])).
% 2.19/1.65  tff(242,plain,
% 2.19/1.65      (multiply(multiply(inverse(sk_c8), identity), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))) = multiply(inverse(sk_c8), multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))))),
% 2.19/1.65      inference(unit_resolution,[status(thm)],[241, 8])).
% 2.19/1.65  tff(243,plain,
% 2.19/1.65      (multiply(inverse(sk_c8), multiply(sk_c1, multiply(sk_c7, sk_c1))) = multiply(inverse(sk_c8), identity)),
% 2.19/1.65      inference(symmetry,[status(thm)],[119])).
% 2.19/1.65  tff(244,plain,
% 2.19/1.65      (multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)) = multiply(inverse(sk_c8), identity)),
% 2.19/1.65      inference(transitivity,[status(thm)],[105, 243])).
% 2.19/1.65  tff(245,plain,
% 2.19/1.65      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))) = multiply(multiply(inverse(sk_c8), identity), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)))),
% 2.19/1.65      inference(monotonicity,[status(thm)],[244])).
% 2.19/1.65  tff(246,plain,
% 2.19/1.65      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))) = multiply(inverse(sk_c8), sk_c1)),
% 2.19/1.65      inference(transitivity,[status(thm)],[245, 242, 240])).
% 2.19/1.65  tff(247,plain,
% 2.19/1.65      (multiply(multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), sk_c7) = multiply(multiply(inverse(sk_c8), sk_c1), sk_c7)),
% 2.19/1.65      inference(monotonicity,[status(thm)],[246])).
% 2.19/1.65  tff(248,plain,
% 2.19/1.65      (multiply(multiply(inverse(sk_c8), sk_c1), sk_c7) = multiply(multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), sk_c7)),
% 2.19/1.65      inference(symmetry,[status(thm)],[247])).
% 2.19/1.65  tff(249,plain,
% 2.19/1.65      (identity = multiply(sk_c8, sk_c7)),
% 2.19/1.65      inference(transitivity,[status(thm)],[60, 79, 70, 248, 239, 237, 235, 159])).
% 2.19/1.65  tff(250,plain,
% 2.19/1.65      (multiply(identity, inverse(sk_c8)) = multiply(multiply(sk_c8, sk_c7), inverse(sk_c8))),
% 2.19/1.65      inference(monotonicity,[status(thm)],[249])).
% 2.19/1.65  tff(251,plain,
% 2.19/1.65      (inverse(sk_c8) = multiply(identity, inverse(sk_c8))),
% 2.19/1.65      inference(symmetry,[status(thm)],[202])).
% 2.19/1.65  tff(252,plain,
% 2.19/1.65      (inverse(sk_c8) = sk_c7),
% 2.19/1.65      inference(transitivity,[status(thm)],[251, 250, 233, 232, 230, 198, 194, 192, 181, 179, 84, 105, 178, 175, 172, 128, 125, 100, 97, 95, 65, 62, 51])).
% 2.19/1.65  tff(253,plain,
% 2.19/1.65      ($false),
% 2.19/1.65      inference(unit_resolution,[status(thm)],[71, 252])).
% 2.19/1.65  tff(254,plain,(inverse(sk_c8) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 2.19/1.65  tff(255,plain,
% 2.19/1.65      (sk_c7 = inverse(sk_c8)),
% 2.19/1.65      inference(symmetry,[status(thm)],[254])).
% 2.19/1.65  tff(256,plain,
% 2.19/1.65      (multiply(multiply(sk_c8, sk_c3), sk_c7) = multiply(identity, sk_c7)),
% 2.19/1.65      inference(symmetry,[status(thm)],[42])).
% 2.19/1.65  tff(257,plain,
% 2.19/1.65      (multiply(sk_c8, multiply(sk_c3, sk_c7)) = multiply(multiply(sk_c8, sk_c3), sk_c7)),
% 2.19/1.65      inference(symmetry,[status(thm)],[23])).
% 2.19/1.65  tff(258,plain,
% 2.19/1.65      (multiply(sk_c8, sk_c8) = inverse(sk_c8)),
% 2.19/1.65      inference(transitivity,[status(thm)],[20, 257, 256, 51, 255])).
% 2.19/1.65  tff(259,plain,
% 2.19/1.65      (multiply(multiply(sk_c8, sk_c8), sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 2.19/1.65      inference(monotonicity,[status(thm)],[258])).
% 2.19/1.65  tff(260,plain,
% 2.19/1.65      (multiply(inverse(sk_c8), sk_c8) = multiply(multiply(sk_c8, sk_c8), sk_c8)),
% 2.19/1.65      inference(symmetry,[status(thm)],[259])).
% 2.19/1.65  tff(261,plain,
% 2.19/1.65      (multiply(multiply(sk_c3, sk_c7), sk_c8) = multiply(sk_c8, sk_c8)),
% 2.19/1.65      inference(monotonicity,[status(thm)],[18])).
% 2.19/1.65  tff(262,plain,
% 2.19/1.65      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c7), sk_c8) = multiply(sk_c3, multiply(sk_c7, sk_c8)))),
% 2.19/1.65      inference(quant_inst,[status(thm)],[])).
% 2.19/1.65  tff(263,plain,
% 2.19/1.65      (multiply(multiply(sk_c3, sk_c7), sk_c8) = multiply(sk_c3, multiply(sk_c7, sk_c8))),
% 2.19/1.65      inference(unit_resolution,[status(thm)],[262, 8])).
% 2.19/1.65  tff(264,plain,
% 2.19/1.65      (multiply(sk_c3, multiply(sk_c7, sk_c8)) = multiply(multiply(sk_c3, sk_c7), sk_c8)),
% 2.19/1.65      inference(symmetry,[status(thm)],[263])).
% 2.19/1.65  tff(265,plain,
% 2.19/1.65      (multiply(sk_c7, sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 2.19/1.65      inference(monotonicity,[status(thm)],[255])).
% 2.19/1.65  tff(266,plain,
% 2.19/1.65      (multiply(inverse(sk_c8), sk_c8) = multiply(sk_c7, sk_c8)),
% 2.19/1.65      inference(symmetry,[status(thm)],[265])).
% 2.19/1.65  tff(267,plain,
% 2.19/1.65      (identity = multiply(sk_c7, sk_c8)),
% 2.19/1.65      inference(transitivity,[status(thm)],[60, 266])).
% 2.19/1.65  tff(268,plain,
% 2.19/1.65      (multiply(sk_c3, identity) = multiply(sk_c3, multiply(sk_c7, sk_c8))),
% 2.19/1.65      inference(monotonicity,[status(thm)],[267])).
% 2.19/1.65  tff(269,plain,
% 2.19/1.65      (multiply(sk_c3, identity) = inverse(sk_c8)),
% 2.19/1.65      inference(transitivity,[status(thm)],[268, 264, 261, 20, 257, 256, 51, 255])).
% 2.19/1.65  tff(270,plain,
% 2.19/1.65      (multiply(multiply(sk_c3, identity), sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 2.19/1.65      inference(monotonicity,[status(thm)],[269])).
% 2.19/1.65  tff(271,plain,
% 2.19/1.65      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, identity), sk_c8) = multiply(sk_c3, multiply(identity, sk_c8)))),
% 2.19/1.65      inference(quant_inst,[status(thm)],[])).
% 2.19/1.65  tff(272,plain,
% 2.19/1.65      (multiply(multiply(sk_c3, identity), sk_c8) = multiply(sk_c3, multiply(identity, sk_c8))),
% 2.19/1.65      inference(unit_resolution,[status(thm)],[271, 8])).
% 2.19/1.65  tff(273,plain,
% 2.19/1.65      (multiply(sk_c3, multiply(identity, sk_c8)) = multiply(multiply(sk_c3, identity), sk_c8)),
% 2.19/1.65      inference(symmetry,[status(thm)],[272])).
% 2.19/1.65  tff(274,plain,
% 2.19/1.65      ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c8) = sk_c8)),
% 2.19/1.65      inference(quant_inst,[status(thm)],[])).
% 2.19/1.65  tff(275,plain,
% 2.19/1.65      (multiply(identity, sk_c8) = sk_c8),
% 2.19/1.65      inference(unit_resolution,[status(thm)],[274, 49])).
% 2.19/1.65  tff(276,plain,
% 2.19/1.65      (sk_c8 = multiply(identity, sk_c8)),
% 2.19/1.65      inference(symmetry,[status(thm)],[275])).
% 2.19/1.65  tff(277,plain,
% 2.19/1.65      (multiply(sk_c3, sk_c8) = multiply(sk_c3, multiply(identity, sk_c8))),
% 2.19/1.65      inference(monotonicity,[status(thm)],[276])).
% 2.19/1.65  tff(278,plain,
% 2.19/1.65      (multiply(sk_c3, sk_c8) = multiply(sk_c8, sk_c7)),
% 2.19/1.65      inference(transitivity,[status(thm)],[277, 273, 270, 260, 57, 55])).
% 2.19/1.65  tff(279,plain,
% 2.19/1.65      (^[X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : refl(((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7)))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7)))))),
% 2.19/1.65      inference(bind,[status(th)],[])).
% 2.19/1.65  tff(280,plain,
% 2.19/1.65      (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7)))) <=> ![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))))),
% 2.19/1.65      inference(quant_intro,[status(thm)],[279])).
% 2.19/1.65  tff(281,plain,
% 2.19/1.65      (^[X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(rewrite((~(multiply(X4, sk_c8) = sk_c6)) <=> (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7)))), (((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))))), rewrite(((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))))), (((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))))))),
% 2.19/1.65      inference(bind,[status(th)],[])).
% 2.19/1.65  tff(282,plain,
% 2.19/1.65      (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))) <=> ![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))))),
% 2.19/1.65      inference(quant_intro,[status(thm)],[281])).
% 2.19/1.65  tff(283,plain,
% 2.19/1.65      (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))) <=> ![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)))),
% 2.19/1.65      inference(rewrite,[status(thm)],[])).
% 2.19/1.65  tff(284,plain,
% 2.19/1.65      (^[X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(multiply(sk_c8, sk_c7) = sk_c6), ((multiply(sk_c8, sk_c7) = sk_c6) <=> $true)), ((~(multiply(sk_c8, sk_c7) = sk_c6)) <=> (~$true))), rewrite((~$true) <=> $false), ((~(multiply(sk_c8, sk_c7) = sk_c6)) <=> $false)), (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))) <=> ($false | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))))), rewrite(($false | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)))), (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)))))),
% 2.19/1.65      inference(bind,[status(th)],[])).
% 2.19/1.65  tff(285,plain,
% 2.19/1.65      (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))) <=> ![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)))),
% 2.19/1.65      inference(quant_intro,[status(thm)],[284])).
% 2.19/1.65  tff(286,plain,
% 2.19/1.65      (^[X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X3) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X3) = sk_c8)))), ((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X3) = sk_c8))) | (~(multiply(X3, sk_c7) = sk_c8))) <=> (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X3) = sk_c8))) | (~(multiply(X3, sk_c7) = sk_c8))))), rewrite((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X3) = sk_c8))) | (~(multiply(X3, sk_c7) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)))), ((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X3) = sk_c8))) | (~(multiply(X3, sk_c7) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))))), (((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X3) = sk_c8))) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X4, sk_c8) = sk_c6))) <=> (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))) | (~(multiply(X4, sk_c8) = sk_c6))))), rewrite((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))) | (~(multiply(X4, sk_c8) = sk_c6))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)))), (((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X3) = sk_c8))) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X4, sk_c8) = sk_c6))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))))), ((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X3) = sk_c8))) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X4, sk_c8) = sk_c6))) | (~(inverse(X4) = sk_c8))) <=> (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))) | (~(inverse(X4) = sk_c8))))), rewrite((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))) | (~(inverse(X4) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)))), ((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X3) = sk_c8))) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X4, sk_c8) = sk_c6))) | (~(inverse(X4) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))))), (((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X3) = sk_c8))) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X4, sk_c8) = sk_c6))) | (~(inverse(X4) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))) <=> (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))))), rewrite((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)))), (((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X3) = sk_c8))) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X4, sk_c8) = sk_c6))) | (~(inverse(X4) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))))), ((((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X3) = sk_c8))) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X4, sk_c8) = sk_c6))) | (~(inverse(X4) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) <=> (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))) | (~(inverse(X1) = sk_c8))))), rewrite((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))) | (~(inverse(X1) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)))), ((((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X3) = sk_c8))) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X4, sk_c8) = sk_c6))) | (~(inverse(X4) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))))), (((((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X3) = sk_c8))) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X4, sk_c8) = sk_c6))) | (~(inverse(X4) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) <=> (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))))), rewrite((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)))), (((((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X3) = sk_c8))) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X4, sk_c8) = sk_c6))) | (~(inverse(X4) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))))), ((((((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X3) = sk_c8))) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X4, sk_c8) = sk_c6))) | (~(inverse(X4) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(inverse(X2) = X5))) <=> (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))) | (~(inverse(X2) = X5))))), rewrite((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))) | (~(inverse(X2) = X5))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)))), ((((((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X3) = sk_c8))) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X4, sk_c8) = sk_c6))) | (~(inverse(X4) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(inverse(X2) = X5))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))))), (((((((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X3) = sk_c8))) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X4, sk_c8) = sk_c6))) | (~(inverse(X4) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(inverse(X2) = X5))) | (~(inverse(X5) = sk_c8))) <=> (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))) | (~(inverse(X5) = sk_c8))))), rewrite((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))) | (~(inverse(X5) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)))), (((((((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X3) = sk_c8))) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X4, sk_c8) = sk_c6))) | (~(inverse(X4) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(inverse(X2) = X5))) | (~(inverse(X5) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))))), ((((((((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X3) = sk_c8))) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X4, sk_c8) = sk_c6))) | (~(inverse(X4) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(inverse(X2) = X5))) | (~(inverse(X5) = sk_c8))) | (~(multiply(X2, sk_c8) = X5))) <=> (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))) | (~(multiply(X2, sk_c8) = X5))))), rewrite((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8))) | (~(multiply(X2, sk_c8) = X5))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)))), ((((((((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X3) = sk_c8))) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X4, sk_c8) = sk_c6))) | (~(inverse(X4) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(inverse(X2) = X5))) | (~(inverse(X5) = sk_c8))) | (~(multiply(X2, sk_c8) = X5))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)))))),
% 2.19/1.66      inference(bind,[status(th)],[])).
% 2.19/1.66  tff(287,plain,
% 2.19/1.66      (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X3) = sk_c8))) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X4, sk_c8) = sk_c6))) | (~(inverse(X4) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(inverse(X2) = X5))) | (~(inverse(X5) = sk_c8))) | (~(multiply(X2, sk_c8) = X5))) <=> ![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)))),
% 2.19/1.66      inference(quant_intro,[status(thm)],[286])).
% 2.19/1.66  tff(288,axiom,(![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X3) = sk_c8))) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X4, sk_c8) = sk_c6))) | (~(inverse(X4) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(inverse(X2) = X5))) | (~(inverse(X5) = sk_c8))) | (~(multiply(X2, sk_c8) = X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_26')).
% 2.19/1.66  tff(289,plain,
% 2.19/1.66      (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)))),
% 2.19/1.66      inference(modus_ponens,[status(thm)],[288, 287])).
% 2.19/1.66  tff(290,plain,
% 2.19/1.66      (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)))),
% 2.19/1.66      inference(modus_ponens,[status(thm)],[289, 285])).
% 2.19/1.66  tff(291,plain,
% 2.19/1.66      (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)))),
% 2.19/1.66      inference(modus_ponens,[status(thm)],[290, 283])).
% 2.19/1.66  tff(292,plain,
% 2.19/1.66      (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))))),
% 2.19/1.66      inference(modus_ponens,[status(thm)],[291, 282])).
% 2.19/1.66  tff(293,plain,(
% 2.19/1.66      ![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))))),
% 2.19/1.66      inference(skolemize,[status(sab)],[292])).
% 2.19/1.66  tff(294,plain,
% 2.19/1.66      (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))))),
% 2.19/1.66      inference(modus_ponens,[status(thm)],[293, 280])).
% 2.19/1.66  tff(295,plain,
% 2.19/1.66      (((inverse(sk_c1) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c4)) <=> ((inverse(sk_c1) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c4))),
% 2.19/1.66      inference(rewrite,[status(thm)],[])).
% 2.19/1.66  tff(296,axiom,((inverse(sk_c1) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_7')).
% 2.19/1.66  tff(297,plain,
% 2.19/1.66      ((inverse(sk_c1) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c4)),
% 2.19/1.66      inference(modus_ponens,[status(thm)],[296, 295])).
% 2.19/1.66  tff(298,plain,
% 2.19/1.66      (multiply(sk_c5, sk_c8) = sk_c4),
% 2.19/1.66      inference(unit_resolution,[status(thm)],[297, 14])).
% 2.19/1.66  tff(299,plain,
% 2.19/1.66      (((inverse(sk_c1) = sk_c8) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c1) = sk_c8) | (inverse(sk_c4) = sk_c8))),
% 2.19/1.66      inference(rewrite,[status(thm)],[])).
% 2.19/1.66  tff(300,axiom,((inverse(sk_c1) = sk_c8) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_6')).
% 2.19/1.66  tff(301,plain,
% 2.19/1.66      ((inverse(sk_c1) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 2.19/1.66      inference(modus_ponens,[status(thm)],[300, 299])).
% 2.19/1.66  tff(302,plain,
% 2.19/1.66      (inverse(sk_c4) = sk_c8),
% 2.19/1.66      inference(unit_resolution,[status(thm)],[301, 14])).
% 2.19/1.66  tff(303,plain,
% 2.19/1.66      ((sk_c7 = inverse(sk_c8)) <=> (inverse(sk_c8) = sk_c7)),
% 2.19/1.66      inference(commutativity,[status(thm)],[])).
% 2.19/1.66  tff(304,assumption,(~(inverse(sk_c5) = sk_c4)), introduced(assumption)).
% 2.19/1.66  tff(305,plain,
% 2.19/1.66      (((inverse(sk_c1) = sk_c8) | (inverse(sk_c5) = sk_c4)) <=> ((inverse(sk_c1) = sk_c8) | (inverse(sk_c5) = sk_c4))),
% 2.19/1.66      inference(rewrite,[status(thm)],[])).
% 2.19/1.66  tff(306,axiom,((inverse(sk_c1) = sk_c8) | (inverse(sk_c5) = sk_c4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_5')).
% 2.19/1.66  tff(307,plain,
% 2.19/1.66      ((inverse(sk_c1) = sk_c8) | (inverse(sk_c5) = sk_c4)),
% 2.19/1.66      inference(modus_ponens,[status(thm)],[306, 305])).
% 2.19/1.66  tff(308,plain,
% 2.19/1.66      (inverse(sk_c1) = sk_c8),
% 2.19/1.66      inference(unit_resolution,[status(thm)],[307, 304])).
% 2.19/1.66  tff(309,plain,
% 2.19/1.66      (sk_c8 = inverse(sk_c1)),
% 2.19/1.66      inference(symmetry,[status(thm)],[308])).
% 2.19/1.66  tff(310,plain,
% 2.19/1.66      (((inverse(sk_c5) = sk_c4) | (multiply(sk_c1, sk_c7) = sk_c8)) <=> ((inverse(sk_c5) = sk_c4) | (multiply(sk_c1, sk_c7) = sk_c8))),
% 2.19/1.66      inference(rewrite,[status(thm)],[])).
% 2.19/1.66  tff(311,plain,
% 2.19/1.66      (((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c5) = sk_c4)) <=> ((inverse(sk_c5) = sk_c4) | (multiply(sk_c1, sk_c7) = sk_c8))),
% 2.19/1.66      inference(rewrite,[status(thm)],[])).
% 2.19/1.66  tff(312,axiom,((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c5) = sk_c4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_11')).
% 2.19/1.66  tff(313,plain,
% 2.19/1.66      ((inverse(sk_c5) = sk_c4) | (multiply(sk_c1, sk_c7) = sk_c8)),
% 2.19/1.66      inference(modus_ponens,[status(thm)],[312, 311])).
% 2.19/1.66  tff(314,plain,
% 2.19/1.66      ((inverse(sk_c5) = sk_c4) | (multiply(sk_c1, sk_c7) = sk_c8)),
% 2.19/1.66      inference(modus_ponens,[status(thm)],[313, 310])).
% 2.19/1.66  tff(315,plain,
% 2.19/1.66      (multiply(sk_c1, sk_c7) = sk_c8),
% 2.19/1.66      inference(unit_resolution,[status(thm)],[314, 304])).
% 2.19/1.66  tff(316,plain,
% 2.19/1.66      (multiply(sk_c1, sk_c7) = inverse(sk_c1)),
% 2.19/1.66      inference(transitivity,[status(thm)],[315, 309])).
% 2.19/1.66  tff(317,plain,
% 2.19/1.66      (multiply(multiply(sk_c1, sk_c7), sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 2.19/1.66      inference(monotonicity,[status(thm)],[316])).
% 2.19/1.66  tff(318,plain,
% 2.19/1.66      (multiply(inverse(sk_c8), multiply(sk_c1, sk_c7)) = multiply(inverse(sk_c8), sk_c8)),
% 2.19/1.66      inference(monotonicity,[status(thm)],[315])).
% 2.19/1.66  tff(319,plain,
% 2.19/1.66      (multiply(inverse(sk_c8), sk_c8) = multiply(inverse(sk_c8), multiply(sk_c1, sk_c7))),
% 2.19/1.66      inference(symmetry,[status(thm)],[318])).
% 2.19/1.66  tff(320,plain,
% 2.19/1.66      (identity = multiply(multiply(inverse(sk_c8), sk_c1), sk_c7)),
% 2.19/1.66      inference(transitivity,[status(thm)],[60, 319, 70])).
% 2.19/1.66  tff(321,plain,
% 2.19/1.66      (multiply(identity, sk_c1) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), sk_c7), sk_c1)),
% 2.19/1.66      inference(monotonicity,[status(thm)],[320])).
% 2.19/1.66  tff(322,plain,
% 2.19/1.66      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), sk_c7), sk_c1) = multiply(identity, sk_c1)),
% 2.19/1.66      inference(symmetry,[status(thm)],[321])).
% 2.19/1.66  tff(323,plain,
% 2.19/1.66      (multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)) = sk_c1),
% 2.19/1.66      inference(transitivity,[status(thm)],[85, 322, 67])).
% 2.19/1.66  tff(324,plain,
% 2.19/1.66      (sk_c8 = multiply(sk_c1, sk_c7)),
% 2.19/1.66      inference(symmetry,[status(thm)],[315])).
% 2.19/1.66  tff(325,plain,
% 2.19/1.66      (multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))) = multiply(multiply(sk_c1, sk_c7), sk_c1)),
% 2.19/1.66      inference(monotonicity,[status(thm)],[324, 323])).
% 2.19/1.66  tff(326,plain,
% 2.19/1.66      (multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))) = identity),
% 2.19/1.66      inference(transitivity,[status(thm)],[325, 317, 116])).
% 2.19/1.66  tff(327,plain,
% 2.19/1.66      (multiply(multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), sk_c7) = multiply(identity, sk_c7)),
% 2.19/1.66      inference(monotonicity,[status(thm)],[326])).
% 2.19/1.66  tff(328,plain,
% 2.19/1.66      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), sk_c7) = multiply(sk_c8, multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), sk_c7)))),
% 2.19/1.66      inference(quant_inst,[status(thm)],[])).
% 2.19/1.66  tff(329,plain,
% 2.19/1.66      (multiply(multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), sk_c7) = multiply(sk_c8, multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), sk_c7))),
% 2.19/1.66      inference(unit_resolution,[status(thm)],[328, 8])).
% 2.19/1.66  tff(330,plain,
% 2.19/1.66      (multiply(sk_c8, multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), sk_c7)) = multiply(multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), sk_c7)),
% 2.19/1.66      inference(symmetry,[status(thm)],[329])).
% 2.19/1.66  tff(331,plain,
% 2.19/1.66      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), sk_c7) = multiply(sk_c1, sk_c7)),
% 2.19/1.66      inference(monotonicity,[status(thm)],[323])).
% 2.19/1.66  tff(332,plain,
% 2.19/1.66      (multiply(sk_c1, sk_c7) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), sk_c7)),
% 2.19/1.66      inference(symmetry,[status(thm)],[331])).
% 2.19/1.66  tff(333,plain,
% 2.19/1.66      (sk_c8 = multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), sk_c7)),
% 2.19/1.66      inference(transitivity,[status(thm)],[324, 332])).
% 2.19/1.66  tff(334,plain,
% 2.19/1.66      (multiply(sk_c8, sk_c8) = multiply(sk_c8, multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), sk_c7))),
% 2.19/1.66      inference(monotonicity,[status(thm)],[333])).
% 2.19/1.66  tff(335,plain,
% 2.19/1.66      (multiply(sk_c8, sk_c8) = sk_c7),
% 2.19/1.66      inference(transitivity,[status(thm)],[334, 330, 327, 51])).
% 2.19/1.66  tff(336,plain,
% 2.19/1.66      ((multiply(sk_c8, sk_c8) = inverse(sk_c8)) <=> (sk_c7 = inverse(sk_c8))),
% 2.19/1.66      inference(monotonicity,[status(thm)],[335])).
% 2.19/1.66  tff(337,plain,
% 2.19/1.66      ((multiply(sk_c8, sk_c8) = inverse(sk_c8)) <=> (inverse(sk_c8) = sk_c7)),
% 2.19/1.66      inference(transitivity,[status(thm)],[336, 303])).
% 2.19/1.66  tff(338,plain,
% 2.19/1.66      ((inverse(sk_c8) = sk_c7) <=> (multiply(sk_c8, sk_c8) = inverse(sk_c8))),
% 2.19/1.66      inference(symmetry,[status(thm)],[337])).
% 2.19/1.66  tff(339,plain,
% 2.19/1.66      (multiply(inverse(sk_c1), sk_c1) = multiply(multiply(sk_c1, sk_c7), sk_c1)),
% 2.19/1.66      inference(symmetry,[status(thm)],[317])).
% 2.19/1.66  tff(340,plain,
% 2.19/1.66      (multiply(inverse(sk_c8), sk_c8) = multiply(sk_c1, multiply(sk_c7, sk_c1))),
% 2.19/1.66      inference(transitivity,[status(thm)],[59, 117, 339, 13])).
% 2.19/1.66  tff(341,plain,
% 2.19/1.66      (multiply(inverse(sk_c8), multiply(inverse(sk_c8), sk_c8)) = multiply(inverse(sk_c8), multiply(sk_c1, multiply(sk_c7, sk_c1)))),
% 2.19/1.66      inference(monotonicity,[status(thm)],[340])).
% 2.19/1.66  tff(342,plain,
% 2.19/1.66      (multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), sk_c7), sk_c1)),
% 2.19/1.66      inference(monotonicity,[status(thm)],[320, 323])).
% 2.19/1.66  tff(343,plain,
% 2.19/1.66      (multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))) = sk_c1),
% 2.19/1.66      inference(transitivity,[status(thm)],[342, 322, 67])).
% 2.19/1.66  tff(344,plain,
% 2.19/1.66      (multiply(multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), sk_c7) = multiply(sk_c1, sk_c7)),
% 2.19/1.66      inference(monotonicity,[status(thm)],[343])).
% 2.19/1.66  tff(345,plain,
% 2.19/1.66      (((inverse(sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c4)) <=> ((inverse(sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c4))),
% 2.19/1.66      inference(rewrite,[status(thm)],[])).
% 2.19/1.66  tff(346,axiom,((inverse(sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_23')).
% 2.19/1.66  tff(347,plain,
% 2.19/1.66      ((inverse(sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c4)),
% 2.19/1.66      inference(modus_ponens,[status(thm)],[346, 345])).
% 2.19/1.66  tff(348,plain,
% 2.19/1.66      (inverse(sk_c2) = sk_c8),
% 2.19/1.66      inference(unit_resolution,[status(thm)],[347, 304])).
% 2.19/1.66  tff(349,plain,
% 2.19/1.66      (sk_c8 = inverse(sk_c2)),
% 2.19/1.66      inference(symmetry,[status(thm)],[348])).
% 2.19/1.66  tff(350,plain,
% 2.19/1.66      (multiply(sk_c8, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 2.19/1.66      inference(monotonicity,[status(thm)],[349])).
% 2.19/1.66  tff(351,plain,
% 2.19/1.66      (multiply(sk_c8, sk_c2) = identity),
% 2.19/1.66      inference(transitivity,[status(thm)],[350, 140])).
% 2.19/1.66  tff(352,plain,
% 2.19/1.66      (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(identity, multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), sk_c7))),
% 2.19/1.66      inference(monotonicity,[status(thm)],[351, 333])).
% 2.19/1.66  tff(353,plain,
% 2.19/1.66      (((inverse(sk_c5) = sk_c4) | (multiply(sk_c2, sk_c8) = sk_c6)) <=> ((inverse(sk_c5) = sk_c4) | (multiply(sk_c2, sk_c8) = multiply(sk_c8, sk_c7)))),
% 2.19/1.66      inference(rewrite,[status(thm)],[])).
% 2.19/1.66  tff(354,plain,
% 2.19/1.66      (((inverse(sk_c5) = sk_c4) | (multiply(sk_c2, sk_c8) = sk_c6)) <=> ((inverse(sk_c5) = sk_c4) | (multiply(sk_c2, sk_c8) = sk_c6))),
% 2.19/1.66      inference(rewrite,[status(thm)],[])).
% 2.19/1.66  tff(355,plain,
% 2.19/1.66      (((multiply(sk_c2, sk_c8) = sk_c6) | (inverse(sk_c5) = sk_c4)) <=> ((inverse(sk_c5) = sk_c4) | (multiply(sk_c2, sk_c8) = sk_c6))),
% 2.19/1.66      inference(rewrite,[status(thm)],[])).
% 2.19/1.66  tff(356,axiom,((multiply(sk_c2, sk_c8) = sk_c6) | (inverse(sk_c5) = sk_c4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_17')).
% 2.19/1.66  tff(357,plain,
% 2.19/1.66      ((inverse(sk_c5) = sk_c4) | (multiply(sk_c2, sk_c8) = sk_c6)),
% 2.19/1.66      inference(modus_ponens,[status(thm)],[356, 355])).
% 2.19/1.66  tff(358,plain,
% 2.19/1.66      ((inverse(sk_c5) = sk_c4) | (multiply(sk_c2, sk_c8) = sk_c6)),
% 2.19/1.66      inference(modus_ponens,[status(thm)],[357, 354])).
% 2.19/1.66  tff(359,plain,
% 2.19/1.66      ((inverse(sk_c5) = sk_c4) | (multiply(sk_c2, sk_c8) = multiply(sk_c8, sk_c7))),
% 2.19/1.66      inference(modus_ponens,[status(thm)],[358, 353])).
% 2.19/1.66  tff(360,plain,
% 2.19/1.66      (multiply(sk_c2, sk_c8) = multiply(sk_c8, sk_c7)),
% 2.19/1.66      inference(unit_resolution,[status(thm)],[359, 304])).
% 2.19/1.66  tff(361,plain,
% 2.19/1.66      (multiply(sk_c8, sk_c7) = multiply(sk_c2, sk_c8)),
% 2.19/1.66      inference(symmetry,[status(thm)],[360])).
% 2.19/1.66  tff(362,plain,
% 2.19/1.66      (multiply(multiply(sk_c1, sk_c7), sk_c7) = multiply(sk_c8, sk_c7)),
% 2.19/1.66      inference(monotonicity,[status(thm)],[315])).
% 2.19/1.66  tff(363,plain,
% 2.19/1.66      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c7)) = multiply(sk_c1, multiply(sk_c7, sk_c7))),
% 2.19/1.66      inference(monotonicity,[status(thm)],[323])).
% 2.19/1.66  tff(364,plain,
% 2.19/1.66      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c7)) = multiply(sk_c2, sk_c8)),
% 2.19/1.66      inference(transitivity,[status(thm)],[363, 161, 362, 361])).
% 2.19/1.66  tff(365,plain,
% 2.19/1.66      (multiply(sk_c8, multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c7))) = multiply(sk_c8, multiply(sk_c2, sk_c8))),
% 2.19/1.66      inference(monotonicity,[status(thm)],[364])).
% 2.19/1.66  tff(366,plain,
% 2.19/1.66      (multiply(multiply(sk_c1, sk_c7), sk_c1) = multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)))),
% 2.19/1.66      inference(symmetry,[status(thm)],[325])).
% 2.19/1.66  tff(367,plain,
% 2.19/1.66      (identity = multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)))),
% 2.19/1.66      inference(transitivity,[status(thm)],[117, 339, 366])).
% 2.19/1.66  tff(368,plain,
% 2.19/1.66      (multiply(identity, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), multiply(sk_c7, sk_c7))),
% 2.19/1.66      inference(monotonicity,[status(thm)],[367])).
% 2.19/1.66  tff(369,plain,
% 2.19/1.66      (multiply(identity, multiply(sk_c7, sk_c7)) = sk_c8),
% 2.19/1.66      inference(transitivity,[status(thm)],[368, 165, 365, 151, 352, 134, 344, 315])).
% 2.19/1.66  tff(370,plain,
% 2.19/1.66      (multiply(multiply(inverse(sk_c8), inverse(sk_c8)), multiply(identity, multiply(sk_c7, sk_c7))) = multiply(multiply(inverse(sk_c8), inverse(sk_c8)), sk_c8)),
% 2.19/1.66      inference(monotonicity,[status(thm)],[369])).
% 2.19/1.66  tff(371,plain,
% 2.19/1.66      (identity = multiply(sk_c1, multiply(sk_c7, sk_c1))),
% 2.19/1.66      inference(transitivity,[status(thm)],[117, 339, 13])).
% 2.19/1.66  tff(372,plain,
% 2.19/1.66      (multiply(inverse(sk_c8), identity) = multiply(inverse(sk_c8), multiply(sk_c1, multiply(sk_c7, sk_c1)))),
% 2.19/1.66      inference(monotonicity,[status(thm)],[371])).
% 2.19/1.66  tff(373,plain,
% 2.19/1.66      (multiply(inverse(sk_c8), identity) = sk_c1),
% 2.19/1.66      inference(transitivity,[status(thm)],[372, 106, 85, 322, 67])).
% 2.19/1.66  tff(374,plain,
% 2.19/1.66      (multiply(inverse(sk_c8), multiply(inverse(sk_c8), identity)) = multiply(inverse(sk_c8), sk_c1)),
% 2.19/1.66      inference(monotonicity,[status(thm)],[373])).
% 2.19/1.66  tff(375,plain,
% 2.19/1.66      (multiply(inverse(sk_c8), sk_c1) = multiply(inverse(sk_c8), multiply(inverse(sk_c8), identity))),
% 2.19/1.66      inference(symmetry,[status(thm)],[374])).
% 2.19/1.66  tff(376,plain,
% 2.19/1.66      (multiply(inverse(sk_c8), sk_c1) = multiply(multiply(inverse(sk_c8), inverse(sk_c8)), identity)),
% 2.19/1.66      inference(transitivity,[status(thm)],[375, 103])).
% 2.19/1.66  tff(377,plain,
% 2.19/1.66      (multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c7)) = multiply(multiply(multiply(inverse(sk_c8), inverse(sk_c8)), identity), multiply(sk_c7, sk_c7))),
% 2.19/1.66      inference(monotonicity,[status(thm)],[376])).
% 2.19/1.66  tff(378,plain,
% 2.19/1.66      (multiply(inverse(sk_c8), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))) = multiply(inverse(sk_c8), sk_c1)),
% 2.19/1.66      inference(monotonicity,[status(thm)],[323])).
% 2.19/1.66  tff(379,plain,
% 2.19/1.66      (multiply(multiply(inverse(sk_c8), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), multiply(sk_c7, sk_c7)) = multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c7))),
% 2.19/1.66      inference(monotonicity,[status(thm)],[378])).
% 2.19/1.66  tff(380,plain,
% 2.19/1.66      (multiply(inverse(sk_c8), multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c7))) = multiply(multiply(inverse(sk_c8), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), multiply(sk_c7, sk_c7))),
% 2.19/1.66      inference(symmetry,[status(thm)],[97])).
% 2.19/1.66  tff(381,plain,
% 2.19/1.66      (multiply(sk_c1, multiply(sk_c7, sk_c7)) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c7))),
% 2.19/1.66      inference(symmetry,[status(thm)],[363])).
% 2.19/1.66  tff(382,plain,
% 2.19/1.66      (multiply(sk_c8, sk_c7) = multiply(multiply(sk_c1, sk_c7), sk_c7)),
% 2.19/1.66      inference(symmetry,[status(thm)],[362])).
% 2.19/1.66  tff(383,plain,
% 2.19/1.66      (multiply(sk_c8, sk_c7) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c7))),
% 2.19/1.66      inference(transitivity,[status(thm)],[382, 90, 381])).
% 2.19/1.66  tff(384,plain,
% 2.19/1.66      (multiply(inverse(sk_c8), multiply(sk_c8, sk_c7)) = multiply(inverse(sk_c8), multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c7)))),
% 2.19/1.66      inference(monotonicity,[status(thm)],[383])).
% 2.19/1.66  tff(385,plain,
% 2.19/1.66      (sk_c7 = sk_c1),
% 2.19/1.66      inference(transitivity,[status(thm)],[52, 61, 64, 384, 380, 379, 377, 127, 370, 174, 341, 106, 85, 322, 67])).
% 2.19/1.66  tff(386,plain,
% 2.19/1.66      ((inverse(sk_c8) = sk_c7) <=> (inverse(sk_c8) = sk_c1)),
% 2.19/1.66      inference(monotonicity,[status(thm)],[385])).
% 2.19/1.66  tff(387,plain,
% 2.19/1.66      ((inverse(sk_c8) = sk_c1) <=> (inverse(sk_c8) = sk_c7)),
% 2.19/1.66      inference(symmetry,[status(thm)],[386])).
% 2.19/1.66  tff(388,plain,
% 2.19/1.66      ((inverse(sk_c8) = sk_c1) <=> (multiply(sk_c8, sk_c8) = inverse(sk_c8))),
% 2.19/1.66      inference(transitivity,[status(thm)],[387, 338])).
% 2.19/1.66  tff(389,plain,
% 2.19/1.66      (multiply(identity, multiply(inverse(sk_c8), identity)) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), sk_c7), sk_c1)),
% 2.19/1.66      inference(monotonicity,[status(thm)],[320, 373])).
% 2.19/1.66  tff(390,plain,
% 2.19/1.66      (multiply(multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), multiply(sk_c7, sk_c1)) = multiply(sk_c1, multiply(sk_c7, sk_c1))),
% 2.19/1.66      inference(monotonicity,[status(thm)],[343])).
% 2.19/1.66  tff(391,plain,
% 2.19/1.66      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c1)) = multiply(sk_c1, multiply(sk_c7, sk_c1))),
% 2.19/1.66      inference(monotonicity,[status(thm)],[323])).
% 2.19/1.66  tff(392,plain,
% 2.19/1.66      (multiply(sk_c1, multiply(sk_c7, sk_c1)) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c1))),
% 2.19/1.66      inference(symmetry,[status(thm)],[391])).
% 2.19/1.66  tff(393,plain,
% 2.19/1.66      (identity = multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c1))),
% 2.19/1.66      inference(transitivity,[status(thm)],[117, 339, 13, 392])).
% 2.19/1.66  tff(394,plain,
% 2.19/1.66      (multiply(identity, identity) = multiply(identity, multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c1)))),
% 2.19/1.66      inference(monotonicity,[status(thm)],[393])).
% 2.19/1.66  tff(395,plain,
% 2.19/1.66      (multiply(identity, identity) = identity),
% 2.19/1.66      inference(transitivity,[status(thm)],[394, 186, 390, 182, 317, 116])).
% 2.19/1.66  tff(396,plain,
% 2.19/1.66      (multiply(multiply(identity, inverse(sk_c8)), multiply(identity, identity)) = multiply(multiply(identity, inverse(sk_c8)), identity)),
% 2.19/1.66      inference(monotonicity,[status(thm)],[395])).
% 2.19/1.66  tff(397,plain,
% 2.19/1.66      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), sk_c7), sk_c1) = multiply(identity, multiply(inverse(sk_c8), identity))),
% 2.19/1.66      inference(symmetry,[status(thm)],[389])).
% 2.19/1.66  tff(398,plain,
% 2.19/1.66      (multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)) = multiply(multiply(identity, inverse(sk_c8)), identity)),
% 2.19/1.66      inference(transitivity,[status(thm)],[85, 397, 195])).
% 2.19/1.66  tff(399,plain,
% 2.19/1.66      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), identity) = multiply(multiply(multiply(identity, inverse(sk_c8)), identity), identity)),
% 2.19/1.66      inference(monotonicity,[status(thm)],[398])).
% 2.19/1.66  tff(400,plain,
% 2.19/1.66      (multiply(inverse(inverse(sk_c8)), identity) = multiply(inverse(inverse(sk_c8)), multiply(multiply(inverse(sk_c8), sk_c1), sk_c7))),
% 2.19/1.66      inference(monotonicity,[status(thm)],[320])).
% 2.19/1.66  tff(401,plain,
% 2.19/1.66      (multiply(inverse(inverse(sk_c8)), multiply(multiply(inverse(sk_c8), sk_c1), sk_c7)) = multiply(inverse(inverse(sk_c8)), identity)),
% 2.19/1.66      inference(symmetry,[status(thm)],[400])).
% 2.19/1.66  tff(402,plain,
% 2.19/1.66      (multiply(inverse(inverse(sk_c8)), inverse(sk_c8)) = multiply(multiply(inverse(sk_c8), sk_c1), sk_c7)),
% 2.19/1.66      inference(transitivity,[status(thm)],[200, 60, 319, 70])).
% 2.19/1.66  tff(403,plain,
% 2.19/1.66      (multiply(multiply(inverse(inverse(sk_c8)), inverse(sk_c8)), sk_c1) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), sk_c7), sk_c1)),
% 2.19/1.66      inference(monotonicity,[status(thm)],[402])).
% 2.19/1.66  tff(404,plain,
% 2.19/1.66      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), sk_c7), sk_c1) = multiply(multiply(inverse(inverse(sk_c8)), inverse(sk_c8)), sk_c1)),
% 2.19/1.66      inference(symmetry,[status(thm)],[403])).
% 2.19/1.67  tff(405,plain,
% 2.19/1.67      (sk_c1 = multiply(identity, sk_c1)),
% 2.19/1.67      inference(symmetry,[status(thm)],[67])).
% 2.19/1.67  tff(406,plain,
% 2.19/1.67      (sk_c1 = multiply(inverse(inverse(sk_c8)), multiply(inverse(sk_c8), sk_c1))),
% 2.19/1.67      inference(transitivity,[status(thm)],[405, 321, 404, 213])).
% 2.19/1.67  tff(407,plain,
% 2.19/1.67      (multiply(sk_c1, sk_c7) = multiply(multiply(inverse(inverse(sk_c8)), multiply(inverse(sk_c8), sk_c1)), sk_c7)),
% 2.19/1.67      inference(monotonicity,[status(thm)],[406])).
% 2.19/1.67  tff(408,plain,
% 2.19/1.67      (sk_c8 = multiply(inverse(inverse(sk_c8)), identity)),
% 2.19/1.67      inference(transitivity,[status(thm)],[324, 407, 209, 401])).
% 2.19/1.67  tff(409,plain,
% 2.19/1.67      (multiply(sk_c8, inverse(sk_c8)) = multiply(multiply(inverse(inverse(sk_c8)), identity), inverse(sk_c8))),
% 2.19/1.67      inference(monotonicity,[status(thm)],[408])).
% 2.19/1.67  tff(410,plain,
% 2.19/1.67      (multiply(sk_c8, inverse(sk_c8)) = identity),
% 2.19/1.67      inference(transitivity,[status(thm)],[409, 205, 203, 200])).
% 2.19/1.67  tff(411,plain,
% 2.19/1.67      (multiply(sk_c8, sk_c2) = multiply(sk_c1, multiply(sk_c7, sk_c1))),
% 2.19/1.67      inference(transitivity,[status(thm)],[350, 140, 117, 339, 13])).
% 2.19/1.67  tff(412,plain,
% 2.19/1.67      (multiply(inverse(sk_c8), multiply(sk_c8, sk_c2)) = multiply(inverse(sk_c8), multiply(sk_c1, multiply(sk_c7, sk_c1)))),
% 2.19/1.67      inference(monotonicity,[status(thm)],[411])).
% 2.19/1.67  tff(413,plain,
% 2.19/1.67      (sk_c2 = multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))),
% 2.19/1.67      inference(transitivity,[status(thm)],[228, 225, 224, 412, 106])).
% 2.19/1.67  tff(414,plain,
% 2.19/1.67      (multiply(sk_c2, multiply(sk_c8, inverse(sk_c8))) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), identity)),
% 2.19/1.67      inference(monotonicity,[status(thm)],[413, 410])).
% 2.19/1.67  tff(415,plain,
% 2.19/1.67      (multiply(multiply(sk_c8, sk_c7), inverse(sk_c8)) = multiply(multiply(sk_c2, sk_c8), inverse(sk_c8))),
% 2.19/1.67      inference(monotonicity,[status(thm)],[361])).
% 2.19/1.67  tff(416,plain,
% 2.19/1.67      (sk_c2 = sk_c1),
% 2.19/1.67      inference(transitivity,[status(thm)],[228, 225, 224, 412, 106, 85, 322, 67])).
% 2.19/1.67  tff(417,plain,
% 2.19/1.67      (multiply(sk_c2, sk_c8) = multiply(sk_c1, sk_c8)),
% 2.19/1.67      inference(monotonicity,[status(thm)],[416])).
% 2.19/1.67  tff(418,plain,
% 2.19/1.67      (multiply(sk_c1, sk_c8) = multiply(sk_c2, sk_c8)),
% 2.19/1.67      inference(symmetry,[status(thm)],[417])).
% 2.19/1.67  tff(419,plain,
% 2.19/1.67      (sk_c1 = multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))),
% 2.19/1.67      inference(transitivity,[status(thm)],[405, 321, 84])).
% 2.19/1.67  tff(420,plain,
% 2.19/1.67      (multiply(sk_c1, sk_c8) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), sk_c7))),
% 2.19/1.67      inference(monotonicity,[status(thm)],[419, 333])).
% 2.19/1.67  tff(421,plain,
% 2.19/1.67      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), sk_c7)) = multiply(sk_c1, sk_c8)),
% 2.19/1.67      inference(symmetry,[status(thm)],[420])).
% 2.19/1.67  tff(422,plain,
% 2.19/1.67      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), sk_c7), sk_c1) = multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)))),
% 2.19/1.67      inference(symmetry,[status(thm)],[342])).
% 2.19/1.67  tff(423,plain,
% 2.19/1.67      (sk_c1 = multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)))),
% 2.19/1.67      inference(transitivity,[status(thm)],[405, 321, 422])).
% 2.19/1.67  tff(424,plain,
% 2.19/1.67      (multiply(inverse(sk_c8), sk_c1) = multiply(inverse(sk_c8), multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))))),
% 2.19/1.67      inference(monotonicity,[status(thm)],[423])).
% 2.19/1.67  tff(425,plain,
% 2.19/1.67      (multiply(inverse(sk_c8), multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)))) = multiply(inverse(sk_c8), sk_c1)),
% 2.19/1.67      inference(symmetry,[status(thm)],[424])).
% 2.19/1.67  tff(426,plain,
% 2.19/1.67      (multiply(inverse(sk_c8), identity) = multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))),
% 2.19/1.67      inference(transitivity,[status(thm)],[372, 106])).
% 2.19/1.67  tff(427,plain,
% 2.19/1.67      (multiply(multiply(inverse(sk_c8), identity), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)))),
% 2.19/1.67      inference(monotonicity,[status(thm)],[426])).
% 2.19/1.67  tff(428,plain,
% 2.19/1.67      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))) = multiply(multiply(inverse(sk_c8), identity), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)))),
% 2.19/1.67      inference(symmetry,[status(thm)],[427])).
% 2.19/1.67  tff(429,plain,
% 2.19/1.67      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))) = multiply(inverse(sk_c8), sk_c1)),
% 2.19/1.67      inference(transitivity,[status(thm)],[428, 242, 425])).
% 2.19/1.67  tff(430,plain,
% 2.19/1.67      (multiply(multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), sk_c7) = multiply(multiply(inverse(sk_c8), sk_c1), sk_c7)),
% 2.19/1.67      inference(monotonicity,[status(thm)],[429])).
% 2.19/1.67  tff(431,plain,
% 2.19/1.67      (multiply(multiply(inverse(sk_c8), sk_c1), sk_c7) = multiply(multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), sk_c7)),
% 2.19/1.67      inference(symmetry,[status(thm)],[430])).
% 2.19/1.67  tff(432,plain,
% 2.19/1.67      (identity = multiply(sk_c8, sk_c7)),
% 2.19/1.67      inference(transitivity,[status(thm)],[60, 319, 70, 431, 239, 421, 418, 360])).
% 2.19/1.67  tff(433,plain,
% 2.19/1.67      (multiply(identity, inverse(sk_c8)) = multiply(multiply(sk_c8, sk_c7), inverse(sk_c8))),
% 2.19/1.67      inference(monotonicity,[status(thm)],[432])).
% 2.19/1.67  tff(434,plain,
% 2.19/1.67      (inverse(sk_c8) = sk_c1),
% 2.19/1.67      inference(transitivity,[status(thm)],[251, 433, 415, 232, 414, 399, 194, 396, 181, 389, 322, 67])).
% 2.19/1.67  tff(435,plain,
% 2.19/1.67      (multiply(sk_c8, sk_c8) = inverse(sk_c8)),
% 2.19/1.67      inference(modus_ponens,[status(thm)],[434, 388])).
% 2.19/1.67  tff(436,plain,
% 2.19/1.67      (multiply(multiply(inverse(sk_c8), identity), sk_c7) = multiply(sk_c1, sk_c7)),
% 2.19/1.67      inference(monotonicity,[status(thm)],[373])).
% 2.19/1.67  tff(437,plain,
% 2.19/1.67      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c8), identity), sk_c7) = multiply(inverse(sk_c8), multiply(identity, sk_c7)))),
% 2.19/1.67      inference(quant_inst,[status(thm)],[])).
% 2.19/1.67  tff(438,plain,
% 2.19/1.67      (multiply(multiply(inverse(sk_c8), identity), sk_c7) = multiply(inverse(sk_c8), multiply(identity, sk_c7))),
% 2.19/1.67      inference(unit_resolution,[status(thm)],[437, 8])).
% 2.19/1.67  tff(439,plain,
% 2.19/1.67      (multiply(inverse(sk_c8), multiply(identity, sk_c7)) = multiply(multiply(inverse(sk_c8), identity), sk_c7)),
% 2.19/1.67      inference(symmetry,[status(thm)],[438])).
% 2.19/1.67  tff(440,plain,
% 2.19/1.67      (multiply(inverse(sk_c8), sk_c7) = multiply(inverse(sk_c8), multiply(identity, sk_c7))),
% 2.19/1.67      inference(monotonicity,[status(thm)],[52])).
% 2.19/1.67  tff(441,plain,
% 2.19/1.67      (multiply(inverse(sk_c8), sk_c7) = sk_c8),
% 2.19/1.67      inference(transitivity,[status(thm)],[440, 439, 436, 315])).
% 2.19/1.67  tff(442,plain,
% 2.19/1.67      (inverse(inverse(sk_c8)) = inverse(sk_c1)),
% 2.19/1.67      inference(monotonicity,[status(thm)],[434])).
% 2.19/1.67  tff(443,plain,
% 2.19/1.67      (inverse(inverse(sk_c8)) = sk_c8),
% 2.19/1.67      inference(transitivity,[status(thm)],[442, 308])).
% 2.19/1.67  tff(444,plain,
% 2.19/1.67      (multiply(inverse(sk_c8), sk_c8) = multiply(sk_c8, sk_c7)),
% 2.19/1.67      inference(transitivity,[status(thm)],[319, 70, 431, 239, 421, 418, 360])).
% 2.19/1.67  tff(445,plain,
% 2.19/1.67      (inverse(sk_c8) = sk_c7),
% 2.19/1.67      inference(modus_ponens,[status(thm)],[434, 387])).
% 2.19/1.67  tff(446,plain,
% 2.19/1.67      (((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))))) | ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(inverse(sk_c8), sk_c8) = multiply(sk_c8, sk_c7))) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(multiply(sk_c8, sk_c8) = inverse(sk_c8))))) <=> ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))))) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(inverse(sk_c8), sk_c8) = multiply(sk_c8, sk_c7))) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(multiply(sk_c8, sk_c8) = inverse(sk_c8))))),
% 2.19/1.67      inference(rewrite,[status(thm)],[])).
% 2.19/1.67  tff(447,plain,
% 2.19/1.67      (((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c8) = inverse(sk_c8))) | (~(inverse(inverse(sk_c8)) = sk_c8)) | $false | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c8) = multiply(sk_c8, sk_c7)))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(inverse(sk_c8), sk_c8) = multiply(sk_c8, sk_c7))) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(multiply(sk_c8, sk_c8) = inverse(sk_c8))))),
% 2.19/1.67      inference(rewrite,[status(thm)],[])).
% 2.19/1.67  tff(448,plain,
% 2.19/1.67      ((~$true) <=> $false),
% 2.19/1.67      inference(rewrite,[status(thm)],[])).
% 2.19/1.67  tff(449,plain,
% 2.19/1.67      ((inverse(sk_c8) = inverse(sk_c8)) <=> $true),
% 2.19/1.67      inference(rewrite,[status(thm)],[])).
% 2.19/1.67  tff(450,plain,
% 2.19/1.67      ((~(inverse(sk_c8) = inverse(sk_c8))) <=> (~$true)),
% 2.19/1.67      inference(monotonicity,[status(thm)],[449])).
% 2.19/1.67  tff(451,plain,
% 2.19/1.67      ((~(inverse(sk_c8) = inverse(sk_c8))) <=> $false),
% 2.19/1.67      inference(transitivity,[status(thm)],[450, 448])).
% 2.19/1.67  tff(452,plain,
% 2.19/1.67      (((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c8) = inverse(sk_c8))) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(inverse(sk_c8) = inverse(sk_c8))) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c8) = multiply(sk_c8, sk_c7)))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c8) = inverse(sk_c8))) | (~(inverse(inverse(sk_c8)) = sk_c8)) | $false | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c8) = multiply(sk_c8, sk_c7))))),
% 2.19/1.67      inference(monotonicity,[status(thm)],[451])).
% 2.19/1.67  tff(453,plain,
% 2.19/1.67      (((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c8) = inverse(sk_c8))) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(inverse(sk_c8) = inverse(sk_c8))) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c8) = multiply(sk_c8, sk_c7)))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(inverse(sk_c8), sk_c8) = multiply(sk_c8, sk_c7))) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(multiply(sk_c8, sk_c8) = inverse(sk_c8))))),
% 2.19/1.67      inference(transitivity,[status(thm)],[452, 447])).
% 2.19/1.67  tff(454,plain,
% 2.19/1.67      (((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))))) | ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c8) = inverse(sk_c8))) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(inverse(sk_c8) = inverse(sk_c8))) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c8) = multiply(sk_c8, sk_c7))))) <=> ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))))) | ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(inverse(sk_c8), sk_c8) = multiply(sk_c8, sk_c7))) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(multiply(sk_c8, sk_c8) = inverse(sk_c8)))))),
% 2.19/1.67      inference(monotonicity,[status(thm)],[453])).
% 2.19/1.67  tff(455,plain,
% 2.19/1.67      (((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))))) | ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c8) = inverse(sk_c8))) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(inverse(sk_c8) = inverse(sk_c8))) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c8) = multiply(sk_c8, sk_c7))))) <=> ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))))) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(inverse(sk_c8), sk_c8) = multiply(sk_c8, sk_c7))) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(multiply(sk_c8, sk_c8) = inverse(sk_c8))))),
% 2.19/1.67      inference(transitivity,[status(thm)],[454, 446])).
% 2.19/1.67  tff(456,plain,
% 2.19/1.67      ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))))) | ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c8) = inverse(sk_c8))) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(inverse(sk_c8) = inverse(sk_c8))) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c8) = multiply(sk_c8, sk_c7))))),
% 2.19/1.67      inference(quant_inst,[status(thm)],[])).
% 2.19/1.67  tff(457,plain,
% 2.19/1.67      ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))))) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(inverse(sk_c8), sk_c8) = multiply(sk_c8, sk_c7))) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(multiply(sk_c8, sk_c8) = inverse(sk_c8)))),
% 2.19/1.67      inference(modus_ponens,[status(thm)],[456, 455])).
% 2.19/1.67  tff(458,plain,
% 2.19/1.67      ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(inverse(sk_c8), sk_c8) = multiply(sk_c8, sk_c7))) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)) | (~(inverse(inverse(sk_c8)) = sk_c8)) | (~(multiply(sk_c8, sk_c8) = inverse(sk_c8)))),
% 2.19/1.67      inference(unit_resolution,[status(thm)],[457, 294])).
% 2.19/1.67  tff(459,plain,
% 2.19/1.67      ($false),
% 2.19/1.67      inference(unit_resolution,[status(thm)],[458, 445, 444, 443, 441, 435])).
% 2.19/1.67  tff(460,plain,(inverse(sk_c5) = sk_c4), inference(lemma,lemma(discharge,[]))).
% 2.19/1.67  tff(461,plain,
% 2.19/1.67      (((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = multiply(sk_c8, sk_c7))) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c4)) | (~(inverse(sk_c5) = sk_c4)))) <=> ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = multiply(sk_c8, sk_c7))) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c4)) | (~(inverse(sk_c5) = sk_c4)))),
% 2.19/1.67      inference(rewrite,[status(thm)],[])).
% 2.19/1.67  tff(462,plain,
% 2.19/1.67      (((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c8) = sk_c4)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c4)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = multiply(sk_c8, sk_c7)))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = multiply(sk_c8, sk_c7))) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c4)) | (~(inverse(sk_c5) = sk_c4)))),
% 2.19/1.67      inference(rewrite,[status(thm)],[])).
% 2.19/1.67  tff(463,plain,
% 2.19/1.67      (((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))))) | ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c8) = sk_c4)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c4)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = multiply(sk_c8, sk_c7))))) <=> ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = multiply(sk_c8, sk_c7))) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c4)) | (~(inverse(sk_c5) = sk_c4))))),
% 2.19/1.67      inference(monotonicity,[status(thm)],[462])).
% 2.19/1.67  tff(464,plain,
% 2.19/1.67      (((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))))) | ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c8) = sk_c4)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c4)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = multiply(sk_c8, sk_c7))))) <=> ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = multiply(sk_c8, sk_c7))) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c4)) | (~(inverse(sk_c5) = sk_c4)))),
% 2.19/1.67      inference(transitivity,[status(thm)],[463, 461])).
% 2.19/1.67  tff(465,plain,
% 2.19/1.67      ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))))) | ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c8) = sk_c4)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c4)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = multiply(sk_c8, sk_c7))))),
% 2.19/1.67      inference(quant_inst,[status(thm)],[])).
% 2.19/1.67  tff(466,plain,
% 2.19/1.67      ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = multiply(sk_c8, sk_c7))) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c4)) | (~(inverse(sk_c5) = sk_c4))),
% 2.19/1.67      inference(modus_ponens,[status(thm)],[465, 464])).
% 2.19/1.67  tff(467,plain,
% 2.19/1.67      (~(multiply(sk_c3, sk_c8) = multiply(sk_c8, sk_c7))),
% 2.19/1.67      inference(unit_resolution,[status(thm)],[466, 254, 27, 18, 460, 302, 298, 294])).
% 2.19/1.67  tff(468,plain,
% 2.19/1.67      ($false),
% 2.19/1.67      inference(unit_resolution,[status(thm)],[467, 278])).
% 2.19/1.67  tff(469,plain,(inverse(sk_c1) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 2.19/1.67  tff(470,plain,
% 2.19/1.67      (sk_c8 = inverse(sk_c1)),
% 2.19/1.67      inference(symmetry,[status(thm)],[469])).
% 2.19/1.67  tff(471,plain,
% 2.19/1.67      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c1), sk_c7) = multiply(sk_c8, multiply(sk_c1, sk_c7)))),
% 2.19/1.67      inference(quant_inst,[status(thm)],[])).
% 2.19/1.67  tff(472,plain,
% 2.19/1.67      (multiply(multiply(sk_c8, sk_c1), sk_c7) = multiply(sk_c8, multiply(sk_c1, sk_c7))),
% 2.19/1.67      inference(unit_resolution,[status(thm)],[471, 8])).
% 2.19/1.67  tff(473,assumption,(~(multiply(sk_c1, sk_c7) = sk_c8)), introduced(assumption)).
% 2.19/1.68  tff(474,plain,
% 2.19/1.68      (((inverse(sk_c3) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8)) <=> ((inverse(sk_c3) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8))),
% 2.19/1.68      inference(rewrite,[status(thm)],[])).
% 2.19/1.68  tff(475,plain,
% 2.19/1.68      (((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c3) = sk_c8)) <=> ((inverse(sk_c3) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8))),
% 2.19/1.68      inference(rewrite,[status(thm)],[])).
% 2.19/1.68  tff(476,axiom,((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c3) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_9')).
% 2.19/1.68  tff(477,plain,
% 2.19/1.68      ((inverse(sk_c3) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8)),
% 2.19/1.68      inference(modus_ponens,[status(thm)],[476, 475])).
% 2.19/1.68  tff(478,plain,
% 2.19/1.68      ((inverse(sk_c3) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8)),
% 2.19/1.68      inference(modus_ponens,[status(thm)],[477, 474])).
% 2.19/1.68  tff(479,plain,
% 2.19/1.68      (inverse(sk_c3) = sk_c8),
% 2.19/1.68      inference(unit_resolution,[status(thm)],[478, 473])).
% 2.19/1.68  tff(480,plain,
% 2.19/1.68      (sk_c8 = inverse(sk_c3)),
% 2.19/1.68      inference(symmetry,[status(thm)],[479])).
% 2.19/1.68  tff(481,plain,
% 2.19/1.68      (multiply(sk_c8, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 2.19/1.68      inference(monotonicity,[status(thm)],[480])).
% 2.19/1.68  tff(482,plain,
% 2.19/1.68      (multiply(inverse(sk_c3), sk_c3) = multiply(sk_c8, sk_c3)),
% 2.19/1.68      inference(symmetry,[status(thm)],[481])).
% 2.19/1.68  tff(483,plain,
% 2.19/1.68      (multiply(sk_c8, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 2.19/1.68      inference(monotonicity,[status(thm)],[470])).
% 2.19/1.68  tff(484,plain,
% 2.19/1.68      (multiply(sk_c8, sk_c1) = multiply(sk_c8, sk_c3)),
% 2.19/1.68      inference(transitivity,[status(thm)],[483, 116, 40, 482])).
% 2.19/1.68  tff(485,plain,
% 2.19/1.68      (multiply(multiply(sk_c8, sk_c1), sk_c7) = multiply(multiply(sk_c8, sk_c3), sk_c7)),
% 2.19/1.68      inference(monotonicity,[status(thm)],[484])).
% 2.19/1.68  tff(486,plain,
% 2.19/1.68      (multiply(multiply(sk_c8, sk_c3), sk_c7) = multiply(multiply(sk_c8, sk_c1), sk_c7)),
% 2.19/1.68      inference(symmetry,[status(thm)],[485])).
% 2.19/1.68  tff(487,plain,
% 2.19/1.68      (identity = multiply(sk_c8, sk_c3)),
% 2.19/1.68      inference(transitivity,[status(thm)],[40, 482])).
% 2.19/1.68  tff(488,plain,
% 2.19/1.68      (multiply(identity, sk_c7) = multiply(multiply(sk_c8, sk_c3), sk_c7)),
% 2.19/1.68      inference(monotonicity,[status(thm)],[487])).
% 2.19/1.68  tff(489,plain,
% 2.19/1.68      (sk_c7 = multiply(sk_c8, multiply(sk_c1, sk_c7))),
% 2.19/1.68      inference(transitivity,[status(thm)],[52, 488, 486, 472])).
% 2.19/1.68  tff(490,plain,
% 2.19/1.68      (multiply(sk_c8, sk_c7) = multiply(sk_c8, multiply(sk_c8, multiply(sk_c1, sk_c7)))),
% 2.19/1.68      inference(monotonicity,[status(thm)],[489])).
% 2.19/1.68  tff(491,plain,
% 2.19/1.68      (multiply(sk_c8, multiply(sk_c8, multiply(sk_c1, sk_c7))) = multiply(sk_c8, sk_c7)),
% 2.19/1.68      inference(symmetry,[status(thm)],[490])).
% 2.19/1.68  tff(492,plain,
% 2.19/1.68      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c8), multiply(sk_c1, sk_c7)) = multiply(sk_c8, multiply(sk_c8, multiply(sk_c1, sk_c7))))),
% 2.19/1.68      inference(quant_inst,[status(thm)],[])).
% 2.19/1.68  tff(493,plain,
% 2.19/1.68      (multiply(multiply(sk_c8, sk_c8), multiply(sk_c1, sk_c7)) = multiply(sk_c8, multiply(sk_c8, multiply(sk_c1, sk_c7)))),
% 2.19/1.68      inference(unit_resolution,[status(thm)],[492, 8])).
% 2.19/1.68  tff(494,plain,
% 2.19/1.68      (multiply(multiply(sk_c8, sk_c3), sk_c7) = multiply(identity, sk_c7)),
% 2.19/1.68      inference(symmetry,[status(thm)],[488])).
% 2.19/1.68  tff(495,plain,
% 2.19/1.68      (((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c8)) <=> ((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c8))),
% 2.19/1.68      inference(rewrite,[status(thm)],[])).
% 2.19/1.68  tff(496,axiom,((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_10')).
% 2.19/1.68  tff(497,plain,
% 2.19/1.68      ((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c8)),
% 2.19/1.68      inference(modus_ponens,[status(thm)],[496, 495])).
% 2.19/1.68  tff(498,plain,
% 2.19/1.68      (multiply(sk_c3, sk_c7) = sk_c8),
% 2.19/1.68      inference(unit_resolution,[status(thm)],[497, 473])).
% 2.19/1.68  tff(499,plain,
% 2.19/1.68      (sk_c8 = multiply(sk_c3, sk_c7)),
% 2.19/1.68      inference(symmetry,[status(thm)],[498])).
% 2.19/1.68  tff(500,plain,
% 2.19/1.68      (multiply(sk_c8, sk_c8) = multiply(sk_c8, multiply(sk_c3, sk_c7))),
% 2.19/1.68      inference(monotonicity,[status(thm)],[499])).
% 2.19/1.68  tff(501,plain,
% 2.19/1.68      (multiply(sk_c8, sk_c8) = inverse(sk_c8)),
% 2.19/1.68      inference(transitivity,[status(thm)],[500, 257, 494, 51, 255])).
% 2.19/1.68  tff(502,plain,
% 2.19/1.68      (multiply(multiply(sk_c8, sk_c8), multiply(sk_c1, sk_c7)) = multiply(inverse(sk_c8), multiply(sk_c1, sk_c7))),
% 2.19/1.68      inference(monotonicity,[status(thm)],[501])).
% 2.19/1.68  tff(503,plain,
% 2.19/1.68      (multiply(inverse(sk_c8), multiply(sk_c1, sk_c7)) = multiply(multiply(sk_c8, sk_c8), multiply(sk_c1, sk_c7))),
% 2.19/1.68      inference(symmetry,[status(thm)],[502])).
% 2.19/1.68  tff(504,plain,
% 2.19/1.68      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, multiply(sk_c3, multiply(sk_c7, sk_c5))), sk_c8) = multiply(sk_c3, multiply(multiply(sk_c3, multiply(sk_c7, sk_c5)), sk_c8)))),
% 2.19/1.68      inference(quant_inst,[status(thm)],[])).
% 2.19/1.68  tff(505,plain,
% 2.19/1.68      (multiply(multiply(sk_c3, multiply(sk_c3, multiply(sk_c7, sk_c5))), sk_c8) = multiply(sk_c3, multiply(multiply(sk_c3, multiply(sk_c7, sk_c5)), sk_c8))),
% 2.19/1.68      inference(unit_resolution,[status(thm)],[504, 8])).
% 2.19/1.68  tff(506,plain,
% 2.19/1.68      (multiply(sk_c3, multiply(multiply(sk_c3, multiply(sk_c7, sk_c5)), sk_c8)) = multiply(multiply(sk_c3, multiply(sk_c3, multiply(sk_c7, sk_c5))), sk_c8)),
% 2.19/1.68      inference(symmetry,[status(thm)],[505])).
% 2.19/1.68  tff(507,plain,
% 2.19/1.68      ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c4), sk_c4) = identity)),
% 2.19/1.68      inference(quant_inst,[status(thm)],[])).
% 2.19/1.68  tff(508,plain,
% 2.19/1.68      (multiply(inverse(sk_c4), sk_c4) = identity),
% 2.19/1.68      inference(unit_resolution,[status(thm)],[507, 37])).
% 2.19/1.68  tff(509,plain,
% 2.19/1.68      (((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c4)) <=> ((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c4))),
% 2.19/1.68      inference(rewrite,[status(thm)],[])).
% 2.19/1.68  tff(510,axiom,((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_13')).
% 2.19/1.68  tff(511,plain,
% 2.19/1.68      ((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c4)),
% 2.19/1.68      inference(modus_ponens,[status(thm)],[510, 509])).
% 2.19/1.68  tff(512,plain,
% 2.19/1.68      (multiply(sk_c5, sk_c8) = sk_c4),
% 2.19/1.68      inference(unit_resolution,[status(thm)],[511, 473])).
% 2.19/1.68  tff(513,plain,
% 2.19/1.68      (((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8))),
% 2.19/1.68      inference(rewrite,[status(thm)],[])).
% 2.19/1.68  tff(514,plain,
% 2.19/1.68      (((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8))),
% 2.19/1.68      inference(rewrite,[status(thm)],[])).
% 2.19/1.68  tff(515,axiom,((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_12')).
% 2.19/1.68  tff(516,plain,
% 2.19/1.68      ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8)),
% 2.19/1.68      inference(modus_ponens,[status(thm)],[515, 514])).
% 2.19/1.68  tff(517,plain,
% 2.19/1.68      ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8)),
% 2.19/1.68      inference(modus_ponens,[status(thm)],[516, 513])).
% 2.19/1.68  tff(518,plain,
% 2.19/1.68      (inverse(sk_c4) = sk_c8),
% 2.19/1.68      inference(unit_resolution,[status(thm)],[517, 473])).
% 2.19/1.68  tff(519,plain,
% 2.19/1.68      (sk_c8 = inverse(sk_c4)),
% 2.19/1.68      inference(symmetry,[status(thm)],[518])).
% 2.19/1.68  tff(520,plain,
% 2.19/1.68      (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(inverse(sk_c4), sk_c4)),
% 2.19/1.68      inference(monotonicity,[status(thm)],[519, 512])).
% 2.19/1.68  tff(521,plain,
% 2.19/1.68      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(sk_c8, multiply(sk_c5, sk_c8)))),
% 2.19/1.68      inference(quant_inst,[status(thm)],[])).
% 2.19/1.68  tff(522,plain,
% 2.19/1.68      (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 2.19/1.68      inference(unit_resolution,[status(thm)],[521, 8])).
% 2.19/1.68  tff(523,plain,
% 2.19/1.68      (multiply(sk_c8, sk_c5) = multiply(multiply(sk_c3, sk_c7), sk_c5)),
% 2.19/1.68      inference(monotonicity,[status(thm)],[499])).
% 2.19/1.68  tff(524,plain,
% 2.19/1.68      (multiply(multiply(sk_c3, sk_c7), sk_c5) = multiply(sk_c8, sk_c5)),
% 2.19/1.68      inference(symmetry,[status(thm)],[523])).
% 2.19/1.68  tff(525,plain,
% 2.19/1.68      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c7), sk_c5) = multiply(sk_c3, multiply(sk_c7, sk_c5)))),
% 2.19/1.68      inference(quant_inst,[status(thm)],[])).
% 2.19/1.68  tff(526,plain,
% 2.19/1.68      (multiply(multiply(sk_c3, sk_c7), sk_c5) = multiply(sk_c3, multiply(sk_c7, sk_c5))),
% 2.19/1.68      inference(unit_resolution,[status(thm)],[525, 8])).
% 2.19/1.68  tff(527,plain,
% 2.19/1.68      (multiply(sk_c3, multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c3, sk_c7), sk_c5)),
% 2.19/1.68      inference(symmetry,[status(thm)],[526])).
% 2.19/1.68  tff(528,plain,
% 2.19/1.68      (multiply(sk_c3, multiply(sk_c7, sk_c5)) = multiply(sk_c8, sk_c5)),
% 2.19/1.68      inference(transitivity,[status(thm)],[527, 524])).
% 2.19/1.68  tff(529,plain,
% 2.19/1.68      (multiply(multiply(sk_c3, multiply(sk_c7, sk_c5)), sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 2.19/1.68      inference(monotonicity,[status(thm)],[528])).
% 2.19/1.68  tff(530,plain,
% 2.19/1.68      (multiply(multiply(sk_c3, multiply(sk_c7, sk_c5)), sk_c8) = identity),
% 2.19/1.68      inference(transitivity,[status(thm)],[529, 522, 520, 508])).
% 2.19/1.68  tff(531,plain,
% 2.19/1.68      (multiply(sk_c3, multiply(multiply(sk_c3, multiply(sk_c7, sk_c5)), sk_c8)) = multiply(sk_c3, identity)),
% 2.19/1.68      inference(monotonicity,[status(thm)],[530])).
% 2.19/1.68  tff(532,plain,
% 2.19/1.68      (multiply(sk_c3, identity) = multiply(sk_c3, multiply(multiply(sk_c3, multiply(sk_c7, sk_c5)), sk_c8))),
% 2.19/1.68      inference(symmetry,[status(thm)],[531])).
% 2.19/1.68  tff(533,plain,
% 2.19/1.68      (multiply(sk_c3, multiply(sk_c7, sk_c8)) = multiply(sk_c3, identity)),
% 2.19/1.68      inference(symmetry,[status(thm)],[268])).
% 2.19/1.68  tff(534,plain,
% 2.19/1.68      (multiply(multiply(sk_c3, sk_c7), sk_c8) = multiply(sk_c8, sk_c8)),
% 2.19/1.68      inference(monotonicity,[status(thm)],[498])).
% 2.19/1.68  tff(535,plain,
% 2.19/1.68      (multiply(sk_c8, sk_c8) = multiply(multiply(sk_c3, sk_c7), sk_c8)),
% 2.19/1.68      inference(symmetry,[status(thm)],[534])).
% 2.19/1.68  tff(536,plain,
% 2.19/1.68      (multiply(sk_c8, multiply(sk_c3, sk_c7)) = multiply(sk_c8, sk_c8)),
% 2.19/1.68      inference(symmetry,[status(thm)],[500])).
% 2.19/1.68  tff(537,plain,
% 2.19/1.68      (inverse(sk_c8) = multiply(multiply(sk_c3, multiply(sk_c3, multiply(sk_c7, sk_c5))), sk_c8)),
% 2.19/1.68      inference(transitivity,[status(thm)],[254, 52, 488, 23, 536, 535, 263, 533, 532, 506])).
% 2.19/1.68  tff(538,plain,
% 2.19/1.68      (multiply(inverse(sk_c8), multiply(sk_c1, sk_c7)) = multiply(multiply(multiply(sk_c3, multiply(sk_c3, multiply(sk_c7, sk_c5))), sk_c8), multiply(sk_c1, sk_c7))),
% 2.19/1.68      inference(monotonicity,[status(thm)],[537])).
% 2.19/1.68  tff(539,plain,
% 2.19/1.68      (multiply(multiply(multiply(sk_c3, multiply(sk_c3, multiply(sk_c7, sk_c5))), sk_c8), multiply(sk_c1, sk_c7)) = multiply(inverse(sk_c8), multiply(sk_c1, sk_c7))),
% 2.19/1.68      inference(symmetry,[status(thm)],[538])).
% 2.19/1.68  tff(540,plain,
% 2.19/1.68      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(sk_c3, multiply(sk_c7, sk_c5))), sk_c8), multiply(sk_c1, sk_c7)) = multiply(multiply(sk_c3, multiply(sk_c3, multiply(sk_c7, sk_c5))), multiply(sk_c8, multiply(sk_c1, sk_c7))))),
% 2.19/1.68      inference(quant_inst,[status(thm)],[])).
% 2.19/1.68  tff(541,plain,
% 2.19/1.68      (multiply(multiply(multiply(sk_c3, multiply(sk_c3, multiply(sk_c7, sk_c5))), sk_c8), multiply(sk_c1, sk_c7)) = multiply(multiply(sk_c3, multiply(sk_c3, multiply(sk_c7, sk_c5))), multiply(sk_c8, multiply(sk_c1, sk_c7)))),
% 2.19/1.68      inference(unit_resolution,[status(thm)],[540, 8])).
% 2.19/1.68  tff(542,plain,
% 2.19/1.68      (multiply(multiply(sk_c3, multiply(sk_c3, multiply(sk_c7, sk_c5))), multiply(sk_c8, multiply(sk_c1, sk_c7))) = multiply(multiply(multiply(sk_c3, multiply(sk_c3, multiply(sk_c7, sk_c5))), sk_c8), multiply(sk_c1, sk_c7))),
% 2.19/1.68      inference(symmetry,[status(thm)],[541])).
% 2.19/1.68  tff(543,plain,
% 2.19/1.68      (multiply(sk_c8, multiply(sk_c1, sk_c7)) = multiply(multiply(sk_c8, sk_c1), sk_c7)),
% 2.19/1.68      inference(symmetry,[status(thm)],[472])).
% 2.19/1.68  tff(544,plain,
% 2.19/1.68      (multiply(sk_c8, multiply(sk_c1, sk_c7)) = multiply(sk_c8, sk_c8)),
% 2.19/1.68      inference(transitivity,[status(thm)],[543, 485, 23, 536])).
% 2.19/1.68  tff(545,plain,
% 2.19/1.68      (multiply(multiply(sk_c3, multiply(sk_c3, multiply(sk_c7, sk_c5))), multiply(sk_c8, multiply(sk_c1, sk_c7))) = multiply(multiply(sk_c3, multiply(sk_c3, multiply(sk_c7, sk_c5))), multiply(sk_c8, sk_c8))),
% 2.19/1.68      inference(monotonicity,[status(thm)],[544])).
% 2.19/1.68  tff(546,plain,
% 2.19/1.68      (multiply(multiply(sk_c3, multiply(sk_c3, multiply(sk_c7, sk_c5))), multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c3, multiply(sk_c3, multiply(sk_c7, sk_c5))), multiply(sk_c8, multiply(sk_c1, sk_c7)))),
% 2.19/1.68      inference(symmetry,[status(thm)],[545])).
% 2.19/1.68  tff(547,plain,
% 2.19/1.68      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(sk_c3, multiply(sk_c7, sk_c5))), sk_c8), sk_c8) = multiply(multiply(sk_c3, multiply(sk_c3, multiply(sk_c7, sk_c5))), multiply(sk_c8, sk_c8)))),
% 2.19/1.68      inference(quant_inst,[status(thm)],[])).
% 2.19/1.68  tff(548,plain,
% 2.19/1.68      (multiply(multiply(multiply(sk_c3, multiply(sk_c3, multiply(sk_c7, sk_c5))), sk_c8), sk_c8) = multiply(multiply(sk_c3, multiply(sk_c3, multiply(sk_c7, sk_c5))), multiply(sk_c8, sk_c8))),
% 2.19/1.68      inference(unit_resolution,[status(thm)],[547, 8])).
% 2.19/1.68  tff(549,plain,
% 2.19/1.68      (multiply(multiply(sk_c3, multiply(sk_c3, multiply(sk_c7, sk_c5))), sk_c8) = inverse(sk_c8)),
% 2.19/1.68      inference(transitivity,[status(thm)],[505, 531, 268, 264, 534, 500, 257, 494, 51, 255])).
% 2.19/1.68  tff(550,plain,
% 2.19/1.68      (multiply(multiply(multiply(sk_c3, multiply(sk_c3, multiply(sk_c7, sk_c5))), sk_c8), sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 2.19/1.68      inference(monotonicity,[status(thm)],[549])).
% 2.19/1.68  tff(551,plain,
% 2.19/1.68      (multiply(inverse(sk_c8), sk_c8) = multiply(multiply(multiply(sk_c3, multiply(sk_c3, multiply(sk_c7, sk_c5))), sk_c8), sk_c8)),
% 2.19/1.68      inference(symmetry,[status(thm)],[550])).
% 2.19/1.68  tff(552,plain,
% 2.19/1.68      (multiply(sk_c3, identity) = inverse(sk_c8)),
% 2.19/1.68      inference(transitivity,[status(thm)],[268, 264, 534, 500, 257, 494, 51, 255])).
% 2.19/1.68  tff(553,plain,
% 2.19/1.68      (multiply(multiply(sk_c3, identity), sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 2.19/1.68      inference(monotonicity,[status(thm)],[552])).
% 2.19/1.68  tff(554,plain,
% 2.19/1.68      (multiply(sk_c3, sk_c8) = multiply(sk_c8, sk_c7)),
% 2.19/1.68      inference(transitivity,[status(thm)],[277, 273, 553, 551, 548, 546, 542, 539, 503, 493, 491])).
% 2.19/1.68  tff(555,plain,
% 2.19/1.68      (~(multiply(sk_c3, sk_c8) = multiply(sk_c8, sk_c7))),
% 2.19/1.68      inference(unit_resolution,[status(thm)],[466, 254, 479, 498, 460, 518, 512, 294])).
% 2.19/1.68  tff(556,plain,
% 2.19/1.68      ($false),
% 2.19/1.68      inference(unit_resolution,[status(thm)],[555, 554])).
% 2.19/1.68  tff(557,plain,(multiply(sk_c1, sk_c7) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 2.19/1.68  tff(558,plain,
% 2.19/1.68      (multiply(sk_c1, sk_c7) = inverse(sk_c1)),
% 2.19/1.68      inference(transitivity,[status(thm)],[557, 470])).
% 2.19/1.68  tff(559,plain,
% 2.19/1.68      (multiply(multiply(sk_c1, sk_c7), sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 2.19/1.68      inference(monotonicity,[status(thm)],[558])).
% 2.19/1.68  tff(560,plain,
% 2.19/1.68      (multiply(inverse(sk_c1), sk_c1) = multiply(multiply(sk_c1, sk_c7), sk_c1)),
% 2.19/1.68      inference(symmetry,[status(thm)],[559])).
% 2.19/1.68  tff(561,plain,
% 2.19/1.68      (multiply(sk_c7, sk_c8) = multiply(sk_c1, multiply(sk_c7, sk_c1))),
% 2.19/1.68      inference(transitivity,[status(thm)],[265, 59, 117, 560, 13])).
% 2.19/1.68  tff(562,plain,
% 2.19/1.68      (multiply(sk_c7, multiply(sk_c7, sk_c8)) = multiply(inverse(sk_c8), multiply(sk_c1, multiply(sk_c7, sk_c1)))),
% 2.19/1.68      inference(monotonicity,[status(thm)],[255, 561])).
% 2.19/1.68  tff(563,plain,
% 2.19/1.68      (multiply(inverse(sk_c8), multiply(sk_c1, multiply(sk_c7, sk_c1))) = multiply(sk_c7, multiply(sk_c7, sk_c8))),
% 2.19/1.68      inference(symmetry,[status(thm)],[562])).
% 2.19/1.68  tff(564,plain,
% 2.19/1.68      (multiply(inverse(sk_c8), multiply(sk_c1, sk_c7)) = multiply(inverse(sk_c8), sk_c8)),
% 2.19/1.68      inference(monotonicity,[status(thm)],[557])).
% 2.19/1.68  tff(565,plain,
% 2.19/1.68      (multiply(inverse(sk_c8), sk_c8) = multiply(inverse(sk_c8), multiply(sk_c1, sk_c7))),
% 2.19/1.68      inference(symmetry,[status(thm)],[564])).
% 2.19/1.68  tff(566,plain,
% 2.19/1.68      (identity = multiply(multiply(inverse(sk_c8), sk_c1), sk_c7)),
% 2.19/1.68      inference(transitivity,[status(thm)],[60, 565, 70])).
% 2.19/1.68  tff(567,plain,
% 2.19/1.68      (multiply(identity, sk_c1) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), sk_c7), sk_c1)),
% 2.19/1.68      inference(monotonicity,[status(thm)],[566])).
% 2.19/1.68  tff(568,plain,
% 2.19/1.68      (sk_c1 = multiply(multiply(sk_c7, sk_c7), sk_c8)),
% 2.19/1.68      inference(transitivity,[status(thm)],[405, 567, 84, 105, 563, 11])).
% 2.19/1.68  tff(569,plain,
% 2.19/1.68      ((inverse(sk_c8) = sk_c1) <=> (inverse(sk_c8) = multiply(multiply(sk_c7, sk_c7), sk_c8))),
% 2.19/1.68      inference(monotonicity,[status(thm)],[568])).
% 2.19/1.68  tff(570,plain,
% 2.19/1.68      ((inverse(sk_c8) = sk_c1) <=> (multiply(multiply(sk_c7, sk_c7), sk_c8) = inverse(sk_c8))),
% 2.19/1.68      inference(transitivity,[status(thm)],[569, 1])).
% 2.19/1.68  tff(571,plain,
% 2.19/1.68      ((~(inverse(sk_c8) = sk_c1)) <=> (~(multiply(multiply(sk_c7, sk_c7), sk_c8) = inverse(sk_c8)))),
% 2.19/1.68      inference(monotonicity,[status(thm)],[570])).
% 2.19/1.68  tff(572,plain,
% 2.19/1.68      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), sk_c7), sk_c1) = multiply(identity, sk_c1)),
% 2.19/1.68      inference(symmetry,[status(thm)],[567])).
% 2.19/1.68  tff(573,plain,
% 2.19/1.68      (multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)) = sk_c1),
% 2.19/1.68      inference(transitivity,[status(thm)],[85, 572, 67])).
% 2.19/1.68  tff(574,plain,
% 2.19/1.68      (multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), sk_c7), sk_c1)),
% 2.19/1.68      inference(monotonicity,[status(thm)],[566, 573])).
% 2.19/1.68  tff(575,plain,
% 2.19/1.68      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), sk_c7), sk_c1) = multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)))),
% 2.19/1.68      inference(symmetry,[status(thm)],[574])).
% 2.19/1.68  tff(576,plain,
% 2.19/1.68      (sk_c1 = multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)))),
% 2.19/1.68      inference(transitivity,[status(thm)],[405, 567, 575])).
% 2.19/1.68  tff(577,plain,
% 2.19/1.68      (multiply(sk_c7, sk_c1) = multiply(sk_c7, multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))))),
% 2.19/1.68      inference(monotonicity,[status(thm)],[576])).
% 2.19/1.68  tff(578,plain,
% 2.19/1.68      (multiply(sk_c7, multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)))) = multiply(sk_c7, sk_c1)),
% 2.19/1.68      inference(symmetry,[status(thm)],[577])).
% 2.19/1.68  tff(579,plain,
% 2.19/1.68      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, identity), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))) = multiply(sk_c7, multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)))))),
% 2.19/1.68      inference(quant_inst,[status(thm)],[])).
% 2.19/1.68  tff(580,plain,
% 2.19/1.68      (multiply(multiply(sk_c7, identity), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))) = multiply(sk_c7, multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))))),
% 2.19/1.68      inference(unit_resolution,[status(thm)],[579, 8])).
% 2.19/1.68  tff(581,plain,
% 2.19/1.68      (identity = multiply(sk_c1, multiply(sk_c7, sk_c1))),
% 2.19/1.68      inference(transitivity,[status(thm)],[117, 560, 13])).
% 2.19/1.68  tff(582,plain,
% 2.19/1.68      (multiply(sk_c7, identity) = multiply(inverse(sk_c8), multiply(sk_c1, multiply(sk_c7, sk_c1)))),
% 2.19/1.68      inference(monotonicity,[status(thm)],[255, 581])).
% 2.19/1.68  tff(583,plain,
% 2.19/1.68      (multiply(sk_c7, identity) = sk_c1),
% 2.19/1.68      inference(transitivity,[status(thm)],[582, 106, 85, 572, 67])).
% 2.19/1.68  tff(584,plain,
% 2.19/1.68      (multiply(multiply(sk_c7, identity), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))) = multiply(sk_c1, sk_c1)),
% 2.19/1.68      inference(monotonicity,[status(thm)],[583, 573])).
% 2.19/1.68  tff(585,plain,
% 2.19/1.68      (multiply(sk_c1, sk_c1) = multiply(multiply(sk_c7, identity), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)))),
% 2.19/1.68      inference(symmetry,[status(thm)],[584])).
% 2.19/1.68  tff(586,plain,
% 2.19/1.68      (multiply(sk_c1, multiply(sk_c7, sk_c1)) = multiply(multiply(inverse(sk_c8), sk_c1), sk_c7)),
% 2.19/1.68      inference(transitivity,[status(thm)],[182, 559, 116, 60, 565, 70])).
% 2.19/1.68  tff(587,plain,
% 2.19/1.68      (multiply(multiply(sk_c1, multiply(sk_c7, sk_c1)), sk_c1) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), sk_c7), sk_c1)),
% 2.19/1.68      inference(monotonicity,[status(thm)],[586])).
% 2.19/1.68  tff(588,plain,
% 2.19/1.68      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, multiply(sk_c7, sk_c1)), sk_c1) = multiply(sk_c1, multiply(multiply(sk_c7, sk_c1), sk_c1)))),
% 2.19/1.68      inference(quant_inst,[status(thm)],[])).
% 2.19/1.68  tff(589,plain,
% 2.19/1.68      (multiply(multiply(sk_c1, multiply(sk_c7, sk_c1)), sk_c1) = multiply(sk_c1, multiply(multiply(sk_c7, sk_c1), sk_c1))),
% 2.19/1.68      inference(unit_resolution,[status(thm)],[588, 8])).
% 2.19/1.68  tff(590,plain,
% 2.19/1.68      (multiply(sk_c1, multiply(multiply(sk_c7, sk_c1), sk_c1)) = multiply(multiply(sk_c1, multiply(sk_c7, sk_c1)), sk_c1)),
% 2.19/1.68      inference(symmetry,[status(thm)],[589])).
% 2.19/1.68  tff(591,plain,
% 2.19/1.68      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(multiply(sk_c7, sk_c1), sk_c1)) = multiply(sk_c1, multiply(multiply(sk_c7, sk_c1), sk_c1))),
% 2.19/1.68      inference(monotonicity,[status(thm)],[573])).
% 2.19/1.68  tff(592,plain,
% 2.19/1.68      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(multiply(sk_c7, sk_c1), sk_c1)) = sk_c1),
% 2.19/1.68      inference(transitivity,[status(thm)],[591, 590, 587, 572, 67])).
% 2.19/1.68  tff(593,plain,
% 2.19/1.68      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(multiply(sk_c7, sk_c1), sk_c1))) = multiply(sk_c1, sk_c1)),
% 2.19/1.68      inference(monotonicity,[status(thm)],[573, 592])).
% 2.19/1.68  tff(594,plain,
% 2.19/1.68      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), multiply(multiply(sk_c7, sk_c1), sk_c1)) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(multiply(sk_c7, sk_c1), sk_c1))))),
% 2.19/1.68      inference(quant_inst,[status(thm)],[])).
% 2.19/1.68  tff(595,plain,
% 2.19/1.68      (multiply(multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), multiply(multiply(sk_c7, sk_c1), sk_c1)) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(multiply(sk_c7, sk_c1), sk_c1)))),
% 2.19/1.68      inference(unit_resolution,[status(thm)],[594, 8])).
% 2.19/1.68  tff(596,plain,
% 2.19/1.68      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))) = multiply(sk_c1, sk_c1)),
% 2.19/1.68      inference(monotonicity,[status(thm)],[573, 573])).
% 2.19/1.68  tff(597,plain,
% 2.19/1.68      (multiply(sk_c1, sk_c1) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)))),
% 2.19/1.68      inference(symmetry,[status(thm)],[596])).
% 2.19/1.68  tff(598,plain,
% 2.19/1.68      (multiply(multiply(sk_c1, sk_c1), multiply(multiply(sk_c7, sk_c1), sk_c1)) = multiply(multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), multiply(multiply(sk_c7, sk_c1), sk_c1))),
% 2.19/1.68      inference(monotonicity,[status(thm)],[597])).
% 2.19/1.68  tff(599,plain,
% 2.19/1.68      (multiply(inverse(sk_c8), sk_c1) = multiply(sk_c7, sk_c1)),
% 2.19/1.68      inference(monotonicity,[status(thm)],[254])).
% 2.19/1.68  tff(600,plain,
% 2.19/1.68      (multiply(sk_c7, sk_c1) = multiply(inverse(sk_c8), sk_c1)),
% 2.19/1.68      inference(symmetry,[status(thm)],[599])).
% 2.19/1.68  tff(601,plain,
% 2.19/1.68      (multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, sk_c1)) = multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))),
% 2.19/1.68      inference(monotonicity,[status(thm)],[600])).
% 2.19/1.68  tff(602,plain,
% 2.19/1.68      (multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)) = multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, sk_c1))),
% 2.19/1.68      inference(symmetry,[status(thm)],[601])).
% 2.19/1.68  tff(603,plain,
% 2.19/1.68      (sk_c1 = multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, sk_c1))),
% 2.19/1.68      inference(transitivity,[status(thm)],[405, 567, 84, 602])).
% 2.19/1.68  tff(604,plain,
% 2.19/1.68      (multiply(multiply(sk_c7, sk_c1), sk_c1) = multiply(multiply(sk_c7, sk_c1), multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, sk_c1)))),
% 2.19/1.68      inference(monotonicity,[status(thm)],[603])).
% 2.19/1.68  tff(605,plain,
% 2.19/1.68      (multiply(multiply(sk_c7, sk_c1), multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, sk_c1))) = multiply(multiply(sk_c7, sk_c1), sk_c1)),
% 2.19/1.68      inference(symmetry,[status(thm)],[604])).
% 2.19/1.68  tff(606,plain,
% 2.19/1.68      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c1)) = multiply(multiply(sk_c7, sk_c1), multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, sk_c1))))),
% 2.19/1.68      inference(quant_inst,[status(thm)],[])).
% 2.19/1.68  tff(607,plain,
% 2.19/1.68      (multiply(multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c1)) = multiply(multiply(sk_c7, sk_c1), multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, sk_c1)))),
% 2.19/1.68      inference(unit_resolution,[status(thm)],[606, 8])).
% 2.19/1.68  tff(608,plain,
% 2.19/1.68      (multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, sk_c1)) = sk_c1),
% 2.19/1.68      inference(transitivity,[status(thm)],[601, 85, 572, 67])).
% 2.19/1.68  tff(609,plain,
% 2.19/1.68      (multiply(multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c1)) = multiply(sk_c1, multiply(sk_c7, sk_c1))),
% 2.19/1.68      inference(monotonicity,[status(thm)],[608])).
% 2.19/1.68  tff(610,plain,
% 2.19/1.68      (multiply(sk_c1, multiply(sk_c7, sk_c1)) = multiply(multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c1))),
% 2.19/1.68      inference(symmetry,[status(thm)],[609])).
% 2.19/1.68  tff(611,plain,
% 2.19/1.68      (identity = multiply(multiply(sk_c7, sk_c1), sk_c1)),
% 2.19/1.68      inference(transitivity,[status(thm)],[117, 560, 13, 610, 607, 605])).
% 2.19/1.68  tff(612,plain,
% 2.19/1.68      (multiply(sk_c7, multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)))) = multiply(multiply(sk_c7, identity), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)))),
% 2.19/1.68      inference(symmetry,[status(thm)],[580])).
% 2.19/1.68  tff(613,plain,
% 2.19/1.68      (multiply(sk_c7, sk_c1) = multiply(sk_c1, sk_c1)),
% 2.19/1.68      inference(transitivity,[status(thm)],[577, 612, 584])).
% 2.19/1.68  tff(614,plain,
% 2.19/1.68      (multiply(multiply(sk_c7, sk_c1), identity) = multiply(multiply(sk_c1, sk_c1), multiply(multiply(sk_c7, sk_c1), sk_c1))),
% 2.19/1.68      inference(monotonicity,[status(thm)],[613, 611])).
% 2.19/1.68  tff(615,plain,
% 2.19/1.68      (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(multiply(inverse(sk_c8), sk_c1), sk_c7)),
% 2.19/1.68      inference(monotonicity,[status(thm)],[600])).
% 2.19/1.68  tff(616,plain,
% 2.19/1.68      (multiply(multiply(sk_c7, sk_c1), sk_c7) = identity),
% 2.19/1.68      inference(transitivity,[status(thm)],[615, 69, 564, 59])).
% 2.19/1.68  tff(617,plain,
% 2.19/1.68      (multiply(multiply(sk_c7, sk_c1), multiply(multiply(sk_c7, sk_c1), sk_c7)) = multiply(multiply(sk_c7, sk_c1), identity)),
% 2.19/1.68      inference(monotonicity,[status(thm)],[616])).
% 2.19/1.68  tff(618,plain,
% 2.19/1.68      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, sk_c1)), sk_c7) = multiply(multiply(sk_c7, sk_c1), multiply(multiply(sk_c7, sk_c1), sk_c7)))),
% 2.19/1.68      inference(quant_inst,[status(thm)],[])).
% 2.19/1.68  tff(619,plain,
% 2.19/1.68      (multiply(multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, sk_c1)), sk_c7) = multiply(multiply(sk_c7, sk_c1), multiply(multiply(sk_c7, sk_c1), sk_c7))),
% 2.19/1.68      inference(unit_resolution,[status(thm)],[618, 8])).
% 2.19/1.68  tff(620,plain,
% 2.19/1.68      (multiply(sk_c1, sk_c7) = multiply(multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, sk_c1)), sk_c7)),
% 2.19/1.68      inference(monotonicity,[status(thm)],[603])).
% 2.19/1.68  tff(621,plain,
% 2.19/1.68      (sk_c8 = multiply(sk_c1, sk_c7)),
% 2.19/1.68      inference(symmetry,[status(thm)],[557])).
% 2.19/1.68  tff(622,plain,
% 2.19/1.68      (sk_c8 = multiply(sk_c7, sk_c1)),
% 2.19/1.68      inference(transitivity,[status(thm)],[621, 620, 619, 617, 614, 598, 595, 593, 585, 580, 578])).
% 2.19/1.68  tff(623,plain,
% 2.19/1.68      (sk_c8 = multiply(inverse(sk_c8), sk_c1)),
% 2.19/1.68      inference(transitivity,[status(thm)],[621, 620, 619, 617, 614, 598, 595, 593, 585, 580, 578, 600])).
% 2.19/1.68  tff(624,plain,
% 2.19/1.68      (multiply(sk_c8, sk_c8) = multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))),
% 2.19/1.68      inference(monotonicity,[status(thm)],[623, 622])).
% 2.19/1.68  tff(625,plain,
% 2.19/1.68      (multiply(sk_c8, sk_c8) = sk_c1),
% 2.19/1.68      inference(transitivity,[status(thm)],[624, 85, 572, 67])).
% 2.19/1.68  tff(626,plain,
% 2.19/1.68      (multiply(sk_c8, sk_c7) = multiply(multiply(sk_c1, sk_c7), sk_c7)),
% 2.19/1.68      inference(monotonicity,[status(thm)],[621])).
% 2.19/1.68  tff(627,plain,
% 2.19/1.68      (multiply(multiply(sk_c1, sk_c7), sk_c7) = multiply(sk_c8, sk_c7)),
% 2.19/1.68      inference(symmetry,[status(thm)],[626])).
% 2.19/1.68  tff(628,plain,
% 2.19/1.68      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c1), sk_c1) = multiply(sk_c8, multiply(sk_c1, sk_c1)))),
% 2.19/1.68      inference(quant_inst,[status(thm)],[])).
% 2.19/1.68  tff(629,plain,
% 2.19/1.68      (multiply(multiply(sk_c8, sk_c1), sk_c1) = multiply(sk_c8, multiply(sk_c1, sk_c1))),
% 2.19/1.68      inference(unit_resolution,[status(thm)],[628, 8])).
% 2.19/1.68  tff(630,plain,
% 2.19/1.68      (multiply(sk_c8, sk_c1) = multiply(multiply(inverse(sk_c8), sk_c1), sk_c7)),
% 2.19/1.69      inference(transitivity,[status(thm)],[483, 116, 60, 565, 70])).
% 2.19/1.69  tff(631,plain,
% 2.19/1.69      (multiply(multiply(sk_c8, sk_c1), sk_c1) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), sk_c7), sk_c1)),
% 2.19/1.69      inference(monotonicity,[status(thm)],[630])).
% 2.19/1.69  tff(632,plain,
% 2.19/1.69      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), sk_c7), sk_c1) = multiply(multiply(sk_c8, sk_c1), sk_c1)),
% 2.19/1.69      inference(symmetry,[status(thm)],[631])).
% 2.19/1.69  tff(633,plain,
% 2.19/1.69      (sk_c1 = multiply(sk_c8, multiply(sk_c1, sk_c1))),
% 2.19/1.69      inference(transitivity,[status(thm)],[405, 567, 632, 629])).
% 2.19/1.69  tff(634,plain,
% 2.19/1.69      (multiply(inverse(multiply(sk_c8, sk_c7)), sk_c1) = multiply(inverse(multiply(sk_c8, sk_c7)), multiply(sk_c8, multiply(sk_c1, sk_c1)))),
% 2.19/1.69      inference(monotonicity,[status(thm)],[633])).
% 2.19/1.69  tff(635,plain,
% 2.19/1.69      (multiply(inverse(multiply(sk_c8, sk_c7)), multiply(sk_c8, multiply(sk_c1, sk_c1))) = multiply(inverse(multiply(sk_c8, sk_c7)), sk_c1)),
% 2.19/1.69      inference(symmetry,[status(thm)],[634])).
% 2.19/1.69  tff(636,plain,
% 2.19/1.69      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(multiply(sk_c8, sk_c7)), sk_c8), multiply(sk_c1, sk_c1)) = multiply(inverse(multiply(sk_c8, sk_c7)), multiply(sk_c8, multiply(sk_c1, sk_c1))))),
% 2.19/1.69      inference(quant_inst,[status(thm)],[])).
% 2.19/1.69  tff(637,plain,
% 2.19/1.69      (multiply(multiply(inverse(multiply(sk_c8, sk_c7)), sk_c8), multiply(sk_c1, sk_c1)) = multiply(inverse(multiply(sk_c8, sk_c7)), multiply(sk_c8, multiply(sk_c1, sk_c1)))),
% 2.19/1.69      inference(unit_resolution,[status(thm)],[636, 8])).
% 2.19/1.69  tff(638,plain,
% 2.19/1.69      (multiply(sk_c1, sk_c1) = multiply(sk_c7, sk_c1)),
% 2.19/1.69      inference(transitivity,[status(thm)],[585, 580, 578])).
% 2.19/1.69  tff(639,plain,
% 2.19/1.69      (multiply(multiply(inverse(multiply(sk_c8, sk_c7)), sk_c8), multiply(sk_c1, sk_c1)) = multiply(multiply(inverse(multiply(sk_c8, sk_c7)), sk_c8), multiply(sk_c7, sk_c1))),
% 2.19/1.69      inference(monotonicity,[status(thm)],[638])).
% 2.19/1.69  tff(640,plain,
% 2.19/1.69      (multiply(multiply(inverse(multiply(sk_c8, sk_c7)), sk_c8), multiply(sk_c7, sk_c1)) = multiply(multiply(inverse(multiply(sk_c8, sk_c7)), sk_c8), multiply(sk_c1, sk_c1))),
% 2.19/1.69      inference(symmetry,[status(thm)],[639])).
% 2.19/1.69  tff(641,plain,
% 2.19/1.69      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(multiply(sk_c8, sk_c7)), sk_c8), sk_c7), sk_c1) = multiply(multiply(inverse(multiply(sk_c8, sk_c7)), sk_c8), multiply(sk_c7, sk_c1)))),
% 2.19/1.69      inference(quant_inst,[status(thm)],[])).
% 2.19/1.69  tff(642,plain,
% 2.19/1.69      (multiply(multiply(multiply(inverse(multiply(sk_c8, sk_c7)), sk_c8), sk_c7), sk_c1) = multiply(multiply(inverse(multiply(sk_c8, sk_c7)), sk_c8), multiply(sk_c7, sk_c1))),
% 2.19/1.69      inference(unit_resolution,[status(thm)],[641, 8])).
% 2.19/1.69  tff(643,plain,
% 2.19/1.69      ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(multiply(sk_c8, sk_c7)), multiply(sk_c8, sk_c7)) = identity)),
% 2.19/1.69      inference(quant_inst,[status(thm)],[])).
% 2.19/1.69  tff(644,plain,
% 2.19/1.69      (multiply(inverse(multiply(sk_c8, sk_c7)), multiply(sk_c8, sk_c7)) = identity),
% 2.19/1.69      inference(unit_resolution,[status(thm)],[643, 37])).
% 2.19/1.69  tff(645,plain,
% 2.19/1.69      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(multiply(sk_c8, sk_c7)), sk_c8), sk_c7) = multiply(inverse(multiply(sk_c8, sk_c7)), multiply(sk_c8, sk_c7)))),
% 2.19/1.69      inference(quant_inst,[status(thm)],[])).
% 2.19/1.69  tff(646,plain,
% 2.19/1.69      (multiply(multiply(inverse(multiply(sk_c8, sk_c7)), sk_c8), sk_c7) = multiply(inverse(multiply(sk_c8, sk_c7)), multiply(sk_c8, sk_c7))),
% 2.19/1.69      inference(unit_resolution,[status(thm)],[645, 8])).
% 2.19/1.69  tff(647,plain,
% 2.19/1.69      (multiply(multiply(inverse(multiply(sk_c8, sk_c7)), sk_c8), sk_c7) = multiply(multiply(inverse(sk_c8), sk_c1), sk_c7)),
% 2.19/1.69      inference(transitivity,[status(thm)],[646, 644, 60, 565, 70])).
% 2.19/1.69  tff(648,plain,
% 2.19/1.69      (multiply(multiply(multiply(inverse(multiply(sk_c8, sk_c7)), sk_c8), sk_c7), sk_c1) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), sk_c7), sk_c1)),
% 2.19/1.69      inference(monotonicity,[status(thm)],[647])).
% 2.19/1.69  tff(649,plain,
% 2.19/1.69      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), sk_c7), sk_c1) = multiply(multiply(multiply(inverse(multiply(sk_c8, sk_c7)), sk_c8), sk_c7), sk_c1)),
% 2.19/1.69      inference(symmetry,[status(thm)],[648])).
% 2.19/1.69  tff(650,plain,
% 2.19/1.69      (sk_c1 = multiply(inverse(multiply(sk_c8, sk_c7)), sk_c1)),
% 2.19/1.69      inference(transitivity,[status(thm)],[405, 567, 649, 642, 640, 637, 635])).
% 2.19/1.69  tff(651,plain,
% 2.19/1.69      (multiply(sk_c1, multiply(sk_c7, sk_c7)) = multiply(multiply(inverse(multiply(sk_c8, sk_c7)), sk_c1), multiply(sk_c7, sk_c7))),
% 2.19/1.69      inference(monotonicity,[status(thm)],[650])).
% 2.19/1.69  tff(652,plain,
% 2.19/1.69      (multiply(multiply(inverse(multiply(sk_c8, sk_c7)), sk_c1), multiply(sk_c7, sk_c7)) = multiply(sk_c1, multiply(sk_c7, sk_c7))),
% 2.19/1.69      inference(symmetry,[status(thm)],[651])).
% 2.19/1.69  tff(653,plain,
% 2.19/1.69      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(multiply(sk_c8, sk_c7)), sk_c1), sk_c7), sk_c7) = multiply(multiply(inverse(multiply(sk_c8, sk_c7)), sk_c1), multiply(sk_c7, sk_c7)))),
% 2.19/1.69      inference(quant_inst,[status(thm)],[])).
% 2.19/1.69  tff(654,plain,
% 2.19/1.69      (multiply(multiply(multiply(inverse(multiply(sk_c8, sk_c7)), sk_c1), sk_c7), sk_c7) = multiply(multiply(inverse(multiply(sk_c8, sk_c7)), sk_c1), multiply(sk_c7, sk_c7))),
% 2.19/1.69      inference(unit_resolution,[status(thm)],[653, 8])).
% 2.19/1.69  tff(655,plain,
% 2.19/1.69      (multiply(inverse(multiply(sk_c8, sk_c7)), sk_c8) = multiply(inverse(multiply(sk_c8, sk_c7)), multiply(sk_c1, sk_c7))),
% 2.19/1.69      inference(monotonicity,[status(thm)],[621])).
% 2.19/1.69  tff(656,plain,
% 2.19/1.69      (multiply(inverse(multiply(sk_c8, sk_c7)), multiply(sk_c1, sk_c7)) = multiply(inverse(multiply(sk_c8, sk_c7)), sk_c8)),
% 2.19/1.69      inference(symmetry,[status(thm)],[655])).
% 2.19/1.69  tff(657,plain,
% 2.19/1.69      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(multiply(sk_c8, sk_c7)), sk_c1), sk_c7) = multiply(inverse(multiply(sk_c8, sk_c7)), multiply(sk_c1, sk_c7)))),
% 2.19/1.69      inference(quant_inst,[status(thm)],[])).
% 2.19/1.69  tff(658,plain,
% 2.19/1.69      (multiply(multiply(inverse(multiply(sk_c8, sk_c7)), sk_c1), sk_c7) = multiply(inverse(multiply(sk_c8, sk_c7)), multiply(sk_c1, sk_c7))),
% 2.19/1.69      inference(unit_resolution,[status(thm)],[657, 8])).
% 2.19/1.69  tff(659,plain,
% 2.19/1.69      (multiply(multiply(inverse(multiply(sk_c8, sk_c7)), sk_c1), sk_c7) = multiply(inverse(multiply(sk_c8, sk_c7)), sk_c8)),
% 2.19/1.69      inference(transitivity,[status(thm)],[658, 656])).
% 2.19/1.69  tff(660,plain,
% 2.19/1.69      (multiply(multiply(multiply(inverse(multiply(sk_c8, sk_c7)), sk_c1), sk_c7), sk_c7) = multiply(multiply(inverse(multiply(sk_c8, sk_c7)), sk_c8), sk_c7)),
% 2.19/1.69      inference(monotonicity,[status(thm)],[659])).
% 2.19/1.69  tff(661,plain,
% 2.19/1.69      (multiply(multiply(inverse(multiply(sk_c8, sk_c7)), sk_c8), sk_c7) = multiply(multiply(multiply(inverse(multiply(sk_c8, sk_c7)), sk_c1), sk_c7), sk_c7)),
% 2.19/1.69      inference(symmetry,[status(thm)],[660])).
% 2.19/1.69  tff(662,plain,
% 2.19/1.69      (multiply(inverse(multiply(sk_c8, sk_c7)), multiply(sk_c8, sk_c7)) = multiply(multiply(inverse(multiply(sk_c8, sk_c7)), sk_c8), sk_c7)),
% 2.19/1.69      inference(symmetry,[status(thm)],[646])).
% 2.19/1.69  tff(663,plain,
% 2.19/1.69      (identity = multiply(inverse(multiply(sk_c8, sk_c7)), multiply(sk_c8, sk_c7))),
% 2.19/1.69      inference(symmetry,[status(thm)],[644])).
% 2.19/1.69  tff(664,plain,
% 2.19/1.69      (multiply(multiply(sk_c7, sk_c1), multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, sk_c1))) = multiply(multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, sk_c1)), multiply(sk_c7, sk_c1))),
% 2.19/1.69      inference(symmetry,[status(thm)],[607])).
% 2.19/1.69  tff(665,plain,
% 2.19/1.69      (multiply(sk_c7, multiply(sk_c7, identity)) = multiply(sk_c7, sk_c1)),
% 2.19/1.69      inference(monotonicity,[status(thm)],[583])).
% 2.19/1.69  tff(666,plain,
% 2.19/1.69      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), identity) = multiply(sk_c7, multiply(sk_c7, identity)))),
% 2.19/1.69      inference(quant_inst,[status(thm)],[])).
% 2.19/1.69  tff(667,plain,
% 2.19/1.69      (multiply(multiply(sk_c7, sk_c7), identity) = multiply(sk_c7, multiply(sk_c7, identity))),
% 2.19/1.69      inference(unit_resolution,[status(thm)],[666, 8])).
% 2.19/1.69  tff(668,plain,
% 2.19/1.69      (multiply(multiply(sk_c7, sk_c7), identity) = multiply(sk_c7, sk_c1)),
% 2.19/1.69      inference(transitivity,[status(thm)],[667, 665])).
% 2.19/1.69  tff(669,plain,
% 2.19/1.69      (multiply(multiply(multiply(sk_c7, sk_c7), identity), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))) = multiply(multiply(sk_c7, sk_c1), sk_c1)),
% 2.19/1.69      inference(monotonicity,[status(thm)],[668, 573])).
% 2.19/1.69  tff(670,plain,
% 2.19/1.69      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c7), identity), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))) = multiply(multiply(sk_c7, sk_c7), multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)))))),
% 2.19/1.69      inference(quant_inst,[status(thm)],[])).
% 2.19/1.69  tff(671,plain,
% 2.19/1.69      (multiply(multiply(multiply(sk_c7, sk_c7), identity), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))) = multiply(multiply(sk_c7, sk_c7), multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))))),
% 2.19/1.69      inference(unit_resolution,[status(thm)],[670, 8])).
% 2.19/1.69  tff(672,plain,
% 2.19/1.69      (multiply(multiply(sk_c7, sk_c7), multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)))) = multiply(multiply(multiply(sk_c7, sk_c7), identity), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)))),
% 2.19/1.69      inference(symmetry,[status(thm)],[671])).
% 2.19/1.69  tff(673,plain,
% 2.19/1.69      (multiply(multiply(sk_c7, sk_c7), sk_c1) = multiply(multiply(sk_c7, sk_c7), multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))))),
% 2.19/1.69      inference(monotonicity,[status(thm)],[576])).
% 2.19/1.69  tff(674,plain,
% 2.19/1.69      (multiply(sk_c8, multiply(sk_c1, sk_c1)) = multiply(multiply(sk_c8, sk_c1), sk_c1)),
% 2.19/1.69      inference(symmetry,[status(thm)],[629])).
% 2.19/1.69  tff(675,plain,
% 2.19/1.69      (multiply(sk_c8, multiply(sk_c1, sk_c1)) = sk_c1),
% 2.19/1.69      inference(transitivity,[status(thm)],[674, 631, 572, 67])).
% 2.19/1.69  tff(676,plain,
% 2.19/1.69      (multiply(multiply(sk_c7, sk_c7), multiply(sk_c8, multiply(sk_c1, sk_c1))) = multiply(multiply(sk_c7, sk_c7), sk_c1)),
% 2.19/1.69      inference(monotonicity,[status(thm)],[675])).
% 2.19/1.69  tff(677,plain,
% 2.19/1.69      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c7), sk_c8), multiply(sk_c1, sk_c1)) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c8, multiply(sk_c1, sk_c1))))),
% 2.19/1.69      inference(quant_inst,[status(thm)],[])).
% 2.19/1.69  tff(678,plain,
% 2.19/1.69      (multiply(multiply(multiply(sk_c7, sk_c7), sk_c8), multiply(sk_c1, sk_c1)) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c8, multiply(sk_c1, sk_c1)))),
% 2.19/1.69      inference(unit_resolution,[status(thm)],[677, 8])).
% 2.19/1.69  tff(679,plain,
% 2.19/1.69      (sk_c8 = multiply(sk_c1, sk_c1)),
% 2.19/1.69      inference(transitivity,[status(thm)],[621, 620, 619, 617, 614, 598, 595, 593])).
% 2.19/1.69  tff(680,plain,
% 2.19/1.69      (multiply(sk_c1, sk_c8) = multiply(multiply(multiply(sk_c7, sk_c7), sk_c8), multiply(sk_c1, sk_c1))),
% 2.19/1.69      inference(monotonicity,[status(thm)],[568, 679])).
% 2.19/1.69  tff(681,plain,
% 2.19/1.69      (multiply(sk_c1, sk_c8) = multiply(sk_c8, sk_c7)),
% 2.19/1.69      inference(transitivity,[status(thm)],[680, 678, 676, 673, 672, 669, 604, 664, 609, 182, 559, 116, 663, 662, 661, 654, 652, 161, 627])).
% 2.19/1.69  tff(682,plain,
% 2.19/1.69      (((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = multiply(sk_c8, sk_c7))) | (~(multiply(sk_c8, sk_c8) = sk_c1)) | (~(inverse(sk_c8) = sk_c1)))) <=> ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = multiply(sk_c8, sk_c7))) | (~(multiply(sk_c8, sk_c8) = sk_c1)) | (~(inverse(sk_c8) = sk_c1)))),
% 2.19/1.69      inference(rewrite,[status(thm)],[])).
% 2.19/1.69  tff(683,plain,
% 2.19/1.69      (((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c8) = sk_c1)) | (~(inverse(sk_c1) = sk_c8)) | (~(inverse(sk_c8) = sk_c1)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = multiply(sk_c8, sk_c7)))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = multiply(sk_c8, sk_c7))) | (~(multiply(sk_c8, sk_c8) = sk_c1)) | (~(inverse(sk_c8) = sk_c1)))),
% 2.19/1.69      inference(rewrite,[status(thm)],[])).
% 2.19/1.69  tff(684,plain,
% 2.19/1.69      (((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))))) | ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c8) = sk_c1)) | (~(inverse(sk_c1) = sk_c8)) | (~(inverse(sk_c8) = sk_c1)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = multiply(sk_c8, sk_c7))))) <=> ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = multiply(sk_c8, sk_c7))) | (~(multiply(sk_c8, sk_c8) = sk_c1)) | (~(inverse(sk_c8) = sk_c1))))),
% 2.25/1.69      inference(monotonicity,[status(thm)],[683])).
% 2.25/1.69  tff(685,plain,
% 2.25/1.69      (((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))))) | ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c8) = sk_c1)) | (~(inverse(sk_c1) = sk_c8)) | (~(inverse(sk_c8) = sk_c1)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = multiply(sk_c8, sk_c7))))) <=> ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = multiply(sk_c8, sk_c7))) | (~(multiply(sk_c8, sk_c8) = sk_c1)) | (~(inverse(sk_c8) = sk_c1)))),
% 2.25/1.69      inference(transitivity,[status(thm)],[684, 682])).
% 2.25/1.69  tff(686,plain,
% 2.25/1.69      ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))))) | ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c8) = sk_c1)) | (~(inverse(sk_c1) = sk_c8)) | (~(inverse(sk_c8) = sk_c1)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = multiply(sk_c8, sk_c7))))),
% 2.25/1.69      inference(quant_inst,[status(thm)],[])).
% 2.25/1.69  tff(687,plain,
% 2.25/1.69      ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = X5)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X2) = X5)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X4, sk_c8) = multiply(sk_c8, sk_c7))))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = multiply(sk_c8, sk_c7))) | (~(multiply(sk_c8, sk_c8) = sk_c1)) | (~(inverse(sk_c8) = sk_c1))),
% 2.25/1.69      inference(modus_ponens,[status(thm)],[686, 685])).
% 2.25/1.69  tff(688,plain,
% 2.25/1.69      ((~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = multiply(sk_c8, sk_c7))) | (~(multiply(sk_c8, sk_c8) = sk_c1)) | (~(inverse(sk_c8) = sk_c1))),
% 2.25/1.69      inference(unit_resolution,[status(thm)],[687, 469, 254, 294])).
% 2.25/1.69  tff(689,plain,
% 2.25/1.69      (~(inverse(sk_c8) = sk_c1)),
% 2.25/1.69      inference(unit_resolution,[status(thm)],[688, 681, 557, 625])).
% 2.25/1.69  tff(690,plain,
% 2.25/1.69      (~(multiply(multiply(sk_c7, sk_c7), sk_c8) = inverse(sk_c8))),
% 2.25/1.69      inference(modus_ponens,[status(thm)],[689, 571])).
% 2.25/1.69  tff(691,plain,
% 2.25/1.69      (multiply(multiply(sk_c7, sk_c7), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))) = multiply(multiply(sk_c7, sk_c7), sk_c1)),
% 2.25/1.69      inference(monotonicity,[status(thm)],[573])).
% 2.25/1.69  tff(692,plain,
% 2.25/1.69      (multiply(multiply(sk_c7, sk_c7), sk_c1) = multiply(multiply(sk_c7, sk_c7), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)))),
% 2.25/1.69      inference(symmetry,[status(thm)],[691])).
% 2.25/1.69  tff(693,plain,
% 2.25/1.69      (multiply(multiply(sk_c7, sk_c7), multiply(identity, multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)))) = multiply(multiply(sk_c7, sk_c7), sk_c1)),
% 2.25/1.69      inference(symmetry,[status(thm)],[673])).
% 2.25/1.69  tff(694,plain,
% 2.25/1.69      (multiply(multiply(sk_c7, sk_c1), sk_c1) = multiply(multiply(multiply(sk_c7, sk_c7), identity), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)))),
% 2.25/1.69      inference(symmetry,[status(thm)],[669])).
% 2.25/1.69  tff(695,plain,
% 2.25/1.69      (identity = multiply(multiply(sk_c7, sk_c7), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)))),
% 2.25/1.69      inference(transitivity,[status(thm)],[117, 560, 13, 610, 607, 605, 694, 671, 693, 692])).
% 2.25/1.69  tff(696,plain,
% 2.25/1.69      (multiply(identity, sk_c7) = multiply(multiply(multiply(sk_c7, sk_c7), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), sk_c7)),
% 2.25/1.69      inference(monotonicity,[status(thm)],[695])).
% 2.25/1.69  tff(697,plain,
% 2.25/1.69      (multiply(multiply(multiply(sk_c7, sk_c7), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), sk_c7) = multiply(identity, sk_c7)),
% 2.25/1.69      inference(symmetry,[status(thm)],[696])).
% 2.25/1.69  tff(698,plain,
% 2.25/1.69      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c7), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), sk_c7) = multiply(multiply(sk_c7, sk_c7), multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), sk_c7)))),
% 2.25/1.69      inference(quant_inst,[status(thm)],[])).
% 2.25/1.69  tff(699,plain,
% 2.25/1.69      (multiply(multiply(multiply(sk_c7, sk_c7), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), sk_c7) = multiply(multiply(sk_c7, sk_c7), multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), sk_c7))),
% 2.25/1.69      inference(unit_resolution,[status(thm)],[698, 8])).
% 2.25/1.69  tff(700,plain,
% 2.25/1.69      (multiply(multiply(sk_c7, sk_c7), multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), sk_c7)) = multiply(multiply(multiply(sk_c7, sk_c7), multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1))), sk_c7)),
% 2.25/1.69      inference(symmetry,[status(thm)],[699])).
% 2.25/1.69  tff(701,plain,
% 2.25/1.69      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), sk_c7) = multiply(sk_c1, sk_c7)),
% 2.25/1.70      inference(monotonicity,[status(thm)],[573])).
% 2.25/1.70  tff(702,plain,
% 2.25/1.70      (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), sk_c7) = sk_c8),
% 2.25/1.70      inference(transitivity,[status(thm)],[701, 557])).
% 2.25/1.70  tff(703,plain,
% 2.25/1.70      (multiply(multiply(sk_c7, sk_c7), multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), sk_c7)) = multiply(multiply(sk_c7, sk_c7), sk_c8)),
% 2.25/1.70      inference(monotonicity,[status(thm)],[702])).
% 2.25/1.70  tff(704,plain,
% 2.25/1.70      (multiply(multiply(sk_c7, sk_c7), sk_c8) = multiply(multiply(sk_c7, sk_c7), multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c7, sk_c1)), sk_c7))),
% 2.25/1.70      inference(symmetry,[status(thm)],[703])).
% 2.25/1.70  tff(705,plain,
% 2.25/1.70      (multiply(multiply(sk_c7, sk_c7), sk_c8) = inverse(sk_c8)),
% 2.25/1.70      inference(transitivity,[status(thm)],[704, 700, 697, 51, 255])).
% 2.25/1.70  tff(706,plain,
% 2.25/1.70      ($false),
% 2.25/1.70      inference(unit_resolution,[status(thm)],[705, 690])).
% 2.25/1.70  % SZS output end Proof
%------------------------------------------------------------------------------