%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP314-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:32:48 PM UTC 2026
% Result : Unsatisfiable 17.99s 3.63s
% Output : CNFRefutation 17.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 38
% Syntax : Number of formulae : 416 ( 109 unt; 11 def)
% Number of atoms : 1524 ( 775 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 762 ( 301 ~; 461 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 128 ( 0 sgn 128 !; 0 ?; 112 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
multiply(sk_c7,sk_c8) = sk_c6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( inverse(sk_c5) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( sk_c7 = inverse(sk_c5)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( inverse(sk_c5) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c7 = inverse(sk_c5)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f20]) ).
fof(f26,negated_conjecture,
( inverse(sk_c5) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c7 = inverse(sk_c5)
| sk_c6 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f26]) ).
fof(f30,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c8 = inverse(sk_c4)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( inverse(sk_c5) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c7 = inverse(sk_c5)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f34]) ).
fof(f38,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( inverse(sk_c5) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c7 = inverse(sk_c5)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c8 = inverse(sk_c4)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
( inverse(sk_c5) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c7 = inverse(sk_c5)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f50]) ).
fof(f52,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( multiply(X4,sk_c6) != sk_c7
| inverse(X4) != sk_c7
| multiply(X3,sk_c7) != sk_c8
| inverse(X3) != sk_c8
| inverse(X2) != sk_c7
| multiply(X2,sk_c7) != sk_c8
| inverse(X1) != sk_c7
| multiply(X1,sk_c7) != sk_c6
| inverse(X0) != sk_c8
| multiply(X0,sk_c8) != sk_c7
| multiply(sk_c7,sk_c8) != sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
! [X2,X3,X0,X1,X4] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c7 != inverse(X4)
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3)
| sk_c7 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7)
| sk_c7 != inverse(X1)
| sk_c6 != multiply(X1,sk_c7)
| inverse(X0) != sk_c8
| sk_c7 != multiply(X0,sk_c8)
| multiply(sk_c7,sk_c8) != sk_c6 ),
inference(reorient_equations,[],[f54]) ).
tcf(c_78,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_79,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_81,negated_conjecture,
multiply(sk_c7,sk_c8) = sk_c6,
inference(cnf_transformation,[],[f5]) ).
tcf(c_82,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_83,negated_conjecture,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_84,negated_conjecture,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_85,negated_conjecture,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_86,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_87,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_88,negated_conjecture,
( ( inverse(sk_c5) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_89,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_92,negated_conjecture,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_94,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_95,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_96,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_98,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c3,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_99,negated_conjecture,
( ( multiply(sk_c3,sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_100,negated_conjecture,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c3,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_101,negated_conjecture,
( ( multiply(sk_c3,sk_c7) = sk_c8 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_102,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_103,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_104,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( inverse(sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_105,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_106,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( inverse(X4) != sk_c8 )
| ( inverse(X3) != sk_c7 )
| ( inverse(X2) != sk_c7 )
| ( inverse(X1) != sk_c7 )
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c6 )
| ( multiply(X4,sk_c7) != sk_c8 )
| ( multiply(X3,sk_c7) != sk_c8 )
| ( multiply(X2,sk_c7) != sk_c6 )
| ( multiply(X1,sk_c6) != sk_c7 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( inverse(X4) != sk_c8 )
| ( inverse(X3) != sk_c7 )
| ( inverse(X2) != sk_c7 )
| ( inverse(X1) != sk_c7 )
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 )
| ( multiply(X1,sk_c6) != sk_c7 )
| ( multiply(X2,sk_c7) != sk_c6 )
| ( multiply(X3,sk_c7) != sk_c8 )
| ( multiply(X4,sk_c7) != sk_c8 ) ),
inference(global_subsumption_just,[status(thm)],[c_106,c_81,c_106]) ).
tcf(c_112,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( inverse(X4) != sk_c8 )
| ( inverse(X3) != sk_c7 )
| ( inverse(X2) != sk_c7 )
| ( inverse(X1) != sk_c7 )
| ( inverse(X0) != sk_c8 )
| ( multiply(X4,sk_c7) != sk_c8 )
| ( multiply(X3,sk_c7) != sk_c8 )
| ( multiply(X2,sk_c7) != sk_c6 )
| ( multiply(X1,sk_c6) != sk_c7 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(renaming,[status(thm)],[c_111]) ).
tcf(c_356,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_112]) ).
tcf(c_357,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_112]) ).
tcf(c_358,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_112]) ).
tcf(c_359,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_112]) ).
tcf(c_360,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_112]) ).
tcf(c_361,negated_conjecture,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_112]) ).
tcf(c_362,definition,
iPr_def_15 = multiply(sk_c5,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_363,definition,
iPr_def_16 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_364,definition,
iPr_def_17 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_365,definition,
iPr_def_18 = multiply(sk_c4,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_366,definition,
iPr_def_19 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_367,definition,
iPr_def_20 = multiply(sk_c3,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_368,definition,
iPr_def_21 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_369,definition,
iPr_def_22 = multiply(sk_c2,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_370,definition,
iPr_def_23 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_371,definition,
iPr_def_24 = multiply(sk_c1,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_372,definition,
iPr_def_25 = multiply(sk_c7,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_373,negated_conjecture,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(demodulation,[status(thm)],[c_361]) ).
tcf(c_374,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_360]) ).
tcf(c_375,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_359]) ).
tcf(c_376,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_358]) ).
tcf(c_377,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_357]) ).
tcf(c_378,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_356]) ).
tcf(c_379,negated_conjecture,
( ( iPr_def_16 = sk_c7 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_105,c_363,c_362]) ).
tcf(c_380,negated_conjecture,
( ( iPr_def_17 = sk_c7 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_104,c_364]) ).
tcf(c_381,negated_conjecture,
( ( iPr_def_18 = sk_c8 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_103,c_365]) ).
tcf(c_382,negated_conjecture,
( ( iPr_def_19 = sk_c8 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_102,c_366]) ).
tcf(c_383,negated_conjecture,
( ( iPr_def_20 = sk_c8 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_101,c_367]) ).
tcf(c_384,negated_conjecture,
( ( iPr_def_20 = sk_c8 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_100]) ).
tcf(c_385,negated_conjecture,
( ( iPr_def_20 = sk_c8 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_386,negated_conjecture,
( ( iPr_def_20 = sk_c8 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_388,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_389,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_95]) ).
tcf(c_390,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_392,negated_conjecture,
( ( iPr_def_22 = sk_c6 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_395,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_89,c_370]) ).
tcf(c_396,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_397,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_398,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_399,negated_conjecture,
( ( iPr_def_24 = sk_c7 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_85,c_371]) ).
tcf(c_400,negated_conjecture,
( ( iPr_def_24 = sk_c7 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_84]) ).
tcf(c_401,negated_conjecture,
( ( iPr_def_24 = sk_c7 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_83]) ).
tcf(c_402,negated_conjecture,
( ( iPr_def_24 = sk_c7 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_82]) ).
tcf(c_403,negated_conjecture,
iPr_def_25 = sk_c6,
inference(demodulation,[status(thm)],[c_81,c_372]) ).
tcf(c_404,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_405,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_626,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( sk_c7 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_381,c_382]) ).
tcf(c_658,plain,
multiply(sk_c5,iPr_def_25) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_362,c_403]) ).
tcf(c_777,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( sk_c7 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_390,c_389]) ).
tcf(c_830,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c7 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_392,c_403]) ).
tcf(c_845,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_830,c_365]) ).
tcf(c_862,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = sk_c7 )
| ( sk_c7 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_405]) ).
tcf(c_864,plain,
! [X0: $i] : inverse(X0) = inverse(X0),
inference(instantiation,[status(thm)],[c_404]) ).
tcf(c_867,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X0) = X2 )
| ( X2 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_405]) ).
tcf(c_871,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_388,c_369]) ).
tcf(c_873,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_380,c_369]) ).
tcf(c_874,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_379,c_369]) ).
tcf(c_893,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X0) = X2 )
| ( X2 != inverse(X1) )
| ( inverse(X0) != inverse(X1) ) ),
inference(instantiation,[status(thm)],[c_867]) ).
tcf(c_897,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_386,c_371]) ).
tcf(c_898,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_385,c_371]) ).
tcf(c_899,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_384,c_371]) ).
tcf(c_900,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(sk_c1,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_383,c_371]) ).
tcf(c_901,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(sk_c1,iPr_def_19) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_382,c_371]) ).
tcf(c_902,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(sk_c1,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_381,c_371]) ).
tcf(c_925,plain,
! [X0: $i] : multiply(identity,inverse(X0)) = inverse(X0),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_929,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = inverse(X0) )
| ( X2 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_405]) ).
tcf(c_931,plain,
! [X0: $i] :
( ( inverse(X0) = iPr_def_16 )
| ( iPr_def_16 != inverse(sk_c3) )
| ( inverse(X0) != inverse(sk_c3) ) ),
inference(instantiation,[status(thm)],[c_893]) ).
tcf(c_944,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(iPr_def_21,sk_c8) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_388,c_372]) ).
tcf(c_947,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_379,c_372]) ).
tcf(c_951,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(sk_c7,iPr_def_20) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_385,c_372]) ).
tcf(c_953,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_20) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_383,c_372]) ).
tcf(c_987,plain,
! [X0: $i] :
( ( inverse(X0) = sk_c7 )
| ( sk_c7 != iPr_def_16 )
| ( inverse(X0) != iPr_def_16 ) ),
inference(instantiation,[status(thm)],[c_862]) ).
tcf(c_995,plain,
multiply(iPr_def_19,sk_c4) = identity,
inference(superposition,[status(thm)],[c_366,c_79]) ).
tcf(c_996,plain,
multiply(iPr_def_17,sk_c5) = identity,
inference(superposition,[status(thm)],[c_364,c_79]) ).
tcf(c_997,plain,
multiply(iPr_def_23,sk_c1) = identity,
inference(superposition,[status(thm)],[c_370,c_79]) ).
tcf(c_998,plain,
multiply(iPr_def_21,sk_c2) = identity,
inference(superposition,[status(thm)],[c_368,c_79]) ).
tcf(c_999,plain,
multiply(iPr_def_16,sk_c3) = identity,
inference(superposition,[status(thm)],[c_363,c_79]) ).
tcf(c_1116,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_395,c_371]) ).
tcf(c_1165,plain,
! [X0: $i,X1: $i] :
( ( X1 = inverse(X0) )
| ( X1 != iPr_def_19 )
| ( inverse(X0) != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_929]) ).
tcf(c_1185,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_396,c_371]) ).
tcf(c_1190,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c7 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_396,c_384]) ).
tcf(c_1244,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_19 )
| ( iPr_def_19 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_405]) ).
tcf(c_1268,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_397,c_371]) ).
tcf(c_1272,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c8 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_397,c_385]) ).
tcf(c_1309,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = multiply(identity,inverse(X0)) )
| ( X2 != X1 )
| ( multiply(identity,inverse(X0)) != X1 ) ),
inference(instantiation,[status(thm)],[c_405]) ).
tcf(c_1332,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_398,c_371]) ).
tcf(c_1335,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c8 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_398,c_386]) ).
tcf(c_1370,plain,
( ( inverse(sk_c3) = iPr_def_16 )
| ( iPr_def_16 != inverse(sk_c3) )
| ( inverse(sk_c3) != inverse(sk_c3) ) ),
inference(instantiation,[status(thm)],[c_931]) ).
tcf(c_1371,plain,
inverse(sk_c3) = inverse(sk_c3),
inference(instantiation,[status(thm)],[c_864]) ).
tcf(c_1391,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_399,c_365]) ).
tcf(c_1660,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( sk_c7 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_402,c_401]) ).
tcf(c_1729,plain,
! [X0: $i] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(iPr_def_25,X0),
inference(superposition,[status(thm)],[c_372,c_80]) ).
tcf(c_1730,plain,
! [X0: $i] : multiply(sk_c1,multiply(sk_c8,X0)) = multiply(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_371,c_80]) ).
tcf(c_1731,plain,
! [X0: $i] : multiply(sk_c4,multiply(sk_c7,X0)) = multiply(iPr_def_18,X0),
inference(superposition,[status(thm)],[c_365,c_80]) ).
tcf(c_1732,plain,
! [X0: $i] : multiply(sk_c2,multiply(sk_c7,X0)) = multiply(iPr_def_22,X0),
inference(superposition,[status(thm)],[c_369,c_80]) ).
tcf(c_1735,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_79,c_80]) ).
tcf(c_1737,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_25,X0)) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_658,c_80]) ).
tcf(c_1738,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_995,c_80]) ).
tcf(c_1739,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_996,c_80]) ).
tcf(c_1740,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_997,c_80]) ).
tcf(c_1741,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_998,c_80]) ).
tcf(c_1743,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1741,c_78]) ).
tcf(c_1744,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1740,c_78]) ).
tcf(c_1745,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1739,c_78]) ).
tcf(c_1746,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1738,c_78]) ).
tcf(c_1775,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( sk_c7 != iPr_def_16 )
| ( inverse(sk_c3) != iPr_def_16 ) ),
inference(instantiation,[status(thm)],[c_987]) ).
tcf(c_1811,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_999,c_80]) ).
tcf(c_1812,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1811,c_78]) ).
tcf(c_1841,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_626,c_367]) ).
tcf(c_2009,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( multiply(iPr_def_21,sk_c8) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_777,c_372]) ).
tcf(c_2010,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_777,c_369]) ).
tcf(c_2189,plain,
( ~ iPr_def_14
| ( sk_c7 != iPr_def_24 )
| ( inverse(sk_c1) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_371,c_374]) ).
tcf(c_2190,plain,
( ~ iPr_def_14
| ( sk_c7 != sk_c8 )
| ( inverse(identity) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_78,c_374]) ).
tcf(c_2191,plain,
( ~ iPr_def_14
| ( sk_c7 != identity )
| ( inverse(inverse(sk_c8)) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_79,c_374]) ).
tcf(c_2212,plain,
( ~ iPr_def_14
| ( sk_c8 != iPr_def_23 )
| ( sk_c7 != iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_2189,c_370]) ).
tcf(c_2322,plain,
! [X0: $i] :
( ( X0 = iPr_def_19 )
| ( iPr_def_19 != sk_c8 )
| ( X0 != sk_c8 ) ),
inference(instantiation,[status(thm)],[c_1244]) ).
tcf(c_2368,plain,
! [X0: $i,X1: $i] :
( ( X1 = multiply(identity,inverse(X0)) )
| ( X1 != inverse(X0) )
| ( multiply(identity,inverse(X0)) != inverse(X0) ) ),
inference(instantiation,[status(thm)],[c_1309]) ).
tcf(c_2375,plain,
( ~ iPr_def_13
| ( sk_c8 != iPr_def_18 )
| ( inverse(sk_c4) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_365,c_375]) ).
tcf(c_2377,plain,
( ~ iPr_def_13
| ( sk_c8 != iPr_def_20 )
| ( inverse(sk_c3) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_367,c_375]) ).
tcf(c_2378,plain,
( ~ iPr_def_13
| ( sk_c7 != sk_c8 )
| ( inverse(identity) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_78,c_375]) ).
tcf(c_2396,plain,
( ~ iPr_def_13
| ( sk_c8 != iPr_def_20 )
| ( sk_c8 != iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_2377,c_363]) ).
tcf(c_2404,plain,
( ~ iPr_def_13
| ( sk_c8 != iPr_def_19 )
| ( sk_c8 != iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_2375,c_366]) ).
tcf(c_2534,plain,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,iPr_def_25) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_376,c_403]) ).
tcf(c_2547,plain,
( ~ iPr_def_12
| ( sk_c7 != iPr_def_15 )
| ( inverse(sk_c5) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_658,c_2534]) ).
tcf(c_2550,plain,
( ~ iPr_def_12
| ( sk_c7 != iPr_def_17 )
| ( sk_c7 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_2547,c_364]) ).
tcf(c_2597,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_20 )
| ( inverse(sk_c3) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_367,c_377]) ).
tcf(c_2598,plain,
( ~ iPr_def_11
| ( sk_c7 != sk_c8 )
| ( inverse(identity) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_78,c_377]) ).
tcf(c_2599,plain,
( ~ iPr_def_11
| ( sk_c8 != identity )
| ( inverse(inverse(sk_c7)) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_79,c_377]) ).
tcf(c_2616,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_20 )
| ( sk_c7 != iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_2597,c_363]) ).
tcf(c_2750,plain,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_378,c_403]) ).
tcf(c_2761,plain,
( ~ iPr_def_10
| ( iPr_def_22 != iPr_def_25 )
| ( inverse(sk_c2) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_369,c_2750]) ).
tcf(c_2785,plain,
( ~ iPr_def_10
| ( iPr_def_22 != iPr_def_25 )
| ( sk_c7 != iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_2761,c_368]) ).
tcf(c_2920,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1190,c_365]) ).
tcf(c_3068,plain,
( ( sk_c8 = iPr_def_19 )
| ( iPr_def_19 != sk_c8 )
| ( sk_c8 != sk_c8 ) ),
inference(instantiation,[status(thm)],[c_2322]) ).
tcf(c_3069,plain,
sk_c8 = sk_c8,
inference(instantiation,[status(thm)],[c_404]) ).
tcf(c_3201,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1335,c_1272]) ).
tcf(c_3441,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_16 )
| ( iPr_def_16 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_405]) ).
tcf(c_3768,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1660,c_777]) ).
tcf(c_3770,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( iPr_def_16 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1660,c_626]) ).
tcf(c_3771,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( multiply(iPr_def_24,sk_c8) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1660,c_372]) ).
tcf(c_3772,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1660,c_369]) ).
tcf(c_3811,plain,
multiply(iPr_def_21,iPr_def_22) = sk_c7,
inference(superposition,[status(thm)],[c_369,c_1743]) ).
tcf(c_3816,plain,
multiply(iPr_def_23,iPr_def_24) = sk_c8,
inference(superposition,[status(thm)],[c_371,c_1744]) ).
tcf(c_3819,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(iPr_def_24,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_3816,c_80]) ).
tcf(c_3957,plain,
multiply(iPr_def_17,iPr_def_15) = iPr_def_25,
inference(superposition,[status(thm)],[c_658,c_1745]) ).
tcf(c_3960,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(iPr_def_15,X0)) = multiply(iPr_def_25,X0),
inference(superposition,[status(thm)],[c_3957,c_80]) ).
tcf(c_3962,plain,
multiply(iPr_def_19,iPr_def_18) = sk_c7,
inference(superposition,[status(thm)],[c_365,c_1746]) ).
tcf(c_4014,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(iPr_def_18,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_3962,c_80]) ).
tcf(c_4016,plain,
multiply(iPr_def_16,iPr_def_20) = sk_c7,
inference(superposition,[status(thm)],[c_367,c_1812]) ).
tcf(c_4046,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(iPr_def_20,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_4016,c_80]) ).
tcf(c_4138,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_871,c_1743]) ).
tcf(c_4139,plain,
( ( sk_c7 = iPr_def_21 )
| ( sk_c7 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_4138,c_3811]) ).
tcf(c_4166,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_873,c_1743]) ).
tcf(c_4167,plain,
( ( sk_c7 = iPr_def_17 )
| ( sk_c7 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_4166,c_3811]) ).
tcf(c_4178,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_874,c_1743]) ).
tcf(c_4179,plain,
( ( sk_c7 = iPr_def_16 )
| ( sk_c7 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_4178,c_3811]) ).
tcf(c_4214,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_897,c_1744]) ).
tcf(c_4215,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_4214,c_3816]) ).
tcf(c_4226,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_898,c_1744]) ).
tcf(c_4227,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c8 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_4226,c_3816]) ).
tcf(c_4277,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_24) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_3201,c_3816]) ).
tcf(c_4317,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_899,c_1744]) ).
tcf(c_4318,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c7 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_4317,c_3816]) ).
tcf(c_4329,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_900,c_1744]) ).
tcf(c_4330,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c7 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_4329,c_3816]) ).
tcf(c_4341,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_901,c_1744]) ).
tcf(c_4342,plain,
( ( sk_c8 = iPr_def_19 )
| ( sk_c7 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_4341,c_3816]) ).
tcf(c_4355,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_902,c_1744]) ).
tcf(c_4356,plain,
( ( sk_c8 = iPr_def_18 )
| ( sk_c7 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_4355,c_3816]) ).
tcf(c_4590,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_383,c_947]) ).
tcf(c_4595,plain,
( ( sk_c7 = iPr_def_25 )
| ( sk_c7 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_4590,c_4016]) ).
tcf(c_4672,plain,
( ( iPr_def_24 = iPr_def_25 )
| ( sk_c7 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4595,c_399]) ).
tcf(c_4881,plain,
( ( iPr_def_24 = iPr_def_25 )
| ( multiply(iPr_def_15,sk_c8) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4672,c_372]) ).
tcf(c_5326,plain,
( ( iPr_def_16 = multiply(identity,inverse(sk_c3)) )
| ( iPr_def_16 != inverse(sk_c3) )
| ( multiply(identity,inverse(sk_c3)) != inverse(sk_c3) ) ),
inference(instantiation,[status(thm)],[c_2368]) ).
tcf(c_6119,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(iPr_def_24,iPr_def_20) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_399,c_953]) ).
tcf(c_6265,plain,
! [X0: $i] :
( ( sk_c8 = inverse(X0) )
| ( sk_c8 != iPr_def_19 )
| ( inverse(X0) != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_1165]) ).
tcf(c_6327,plain,
! [X0: $i,X1: $i] :
( ( sk_c8 = X0 )
| ( sk_c8 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_405]) ).
tcf(c_6362,plain,
! [X0: $i] :
( ( X0 = multiply(identity,inverse(sk_c3)) )
| ( X0 != inverse(sk_c3) )
| ( multiply(identity,inverse(sk_c3)) != inverse(sk_c3) ) ),
inference(instantiation,[status(thm)],[c_2368]) ).
tcf(c_6724,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1116,c_1744]) ).
tcf(c_6725,plain,
( ( sk_c8 = iPr_def_23 )
| ( sk_c7 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_6724,c_3816]) ).
tcf(c_6793,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1185,c_1744]) ).
tcf(c_6794,plain,
( ( sk_c8 = iPr_def_23 )
| ( sk_c7 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_6793,c_3816]) ).
tcf(c_8451,plain,
multiply(sk_c4,iPr_def_25) = multiply(iPr_def_18,sk_c8),
inference(superposition,[status(thm)],[c_372,c_1731]) ).
tcf(c_8598,plain,
! [X0: $i,X1: $i] :
( ( inverse(sk_c3) = X1 )
| ( X1 != X0 )
| ( inverse(sk_c3) != X0 ) ),
inference(instantiation,[status(thm)],[c_867]) ).
tcf(c_8670,plain,
( ( inverse(sk_c3) = iPr_def_19 )
| ( iPr_def_19 != sk_c8 )
| ( inverse(sk_c3) != sk_c8 ) ),
inference(instantiation,[status(thm)],[c_2322]) ).
tcf(c_9008,plain,
multiply(sk_c2,iPr_def_25) = multiply(iPr_def_22,sk_c8),
inference(superposition,[status(thm)],[c_372,c_1732]) ).
tcf(c_9192,plain,
( ~ iPr_def_12
| ( inverse(sk_c2) != sk_c7 )
| ( multiply(iPr_def_22,sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_9008,c_2534]) ).
tcf(c_9198,plain,
( ~ iPr_def_12
| ( sk_c7 != iPr_def_21 )
| ( multiply(iPr_def_22,sk_c8) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_9192,c_368]) ).
tcf(c_11117,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1735,c_78]) ).
tcf(c_11123,plain,
multiply(inverse(sk_c7),iPr_def_25) = sk_c8,
inference(superposition,[status(thm)],[c_372,c_11117]) ).
tcf(c_11125,plain,
multiply(inverse(sk_c4),iPr_def_18) = sk_c7,
inference(superposition,[status(thm)],[c_365,c_11117]) ).
tcf(c_11128,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_78,c_11117]) ).
tcf(c_11129,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_79,c_11117]) ).
tcf(c_11133,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(sk_c4),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2920,c_11117]) ).
tcf(c_11134,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(sk_c4),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_845,c_11117]) ).
tcf(c_11197,plain,
( ( iPr_def_24 = iPr_def_25 )
| ( multiply(inverse(iPr_def_15),iPr_def_25) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_4881,c_11117]) ).
tcf(c_11246,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(inverse(sk_c4),iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1391,c_11117]) ).
tcf(c_11254,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_1746,c_11117]) ).
tcf(c_11255,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_1745,c_11117]) ).
tcf(c_11256,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_1744,c_11117]) ).
tcf(c_11257,plain,
! [X0: $i] : multiply(inverse(iPr_def_21),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_1743,c_11117]) ).
tcf(c_11258,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_1812,c_11117]) ).
tcf(c_11302,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_11117,c_11117]) ).
tcf(c_12185,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_25 )
| ( inverse(inverse(identity)) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_11128,c_2750]) ).
tcf(c_12189,plain,
( ~ iPr_def_12
| ( sk_c7 != iPr_def_25 )
| ( inverse(inverse(identity)) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_11128,c_2534]) ).
tcf(c_12212,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_11129,c_11302]) ).
tcf(c_12220,plain,
multiply(sk_c5,iPr_def_25) = multiply(iPr_def_15,identity),
inference(superposition,[status(thm)],[c_12212,c_1737]) ).
tcf(c_12221,plain,
multiply(sk_c1,sk_c8) = multiply(iPr_def_24,identity),
inference(superposition,[status(thm)],[c_12212,c_1730]) ).
tcf(c_12222,plain,
multiply(sk_c7,sk_c8) = multiply(iPr_def_25,identity),
inference(superposition,[status(thm)],[c_12212,c_1729]) ).
tcf(c_12223,plain,
multiply(sk_c8,identity) = multiply(iPr_def_23,iPr_def_24),
inference(superposition,[status(thm)],[c_12212,c_3819]) ).
tcf(c_12224,plain,
multiply(sk_c7,identity) = multiply(iPr_def_19,iPr_def_18),
inference(superposition,[status(thm)],[c_12212,c_4014]) ).
tcf(c_12229,plain,
multiply(sk_c7,identity) = multiply(iPr_def_16,iPr_def_20),
inference(superposition,[status(thm)],[c_12212,c_4046]) ).
tcf(c_12230,plain,
multiply(iPr_def_17,iPr_def_15) = multiply(iPr_def_25,identity),
inference(superposition,[status(thm)],[c_12212,c_3960]) ).
tcf(c_12236,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_12212,c_11128]) ).
tcf(c_12237,plain,
multiply(iPr_def_25,identity) = iPr_def_25,
inference(light_normalisation,[status(thm)],[c_12230,c_3957]) ).
tcf(c_12238,plain,
multiply(sk_c7,identity) = sk_c7,
inference(light_normalisation,[status(thm)],[c_12229,c_4016]) ).
tcf(c_12244,plain,
multiply(sk_c8,identity) = sk_c8,
inference(light_normalisation,[status(thm)],[c_12223,c_3816]) ).
tcf(c_12246,plain,
multiply(iPr_def_24,identity) = iPr_def_24,
inference(light_normalisation,[status(thm)],[c_12221,c_371]) ).
tcf(c_12247,plain,
multiply(iPr_def_15,identity) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_12220,c_658]) ).
tcf(c_13211,plain,
multiply(sk_c4,iPr_def_19) = identity,
inference(superposition,[status(thm)],[c_11254,c_79]) ).
tcf(c_13214,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_19)) != sk_c7 )
| ( multiply(sk_c4,sk_c7) != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_11254,c_2750]) ).
tcf(c_13217,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_19,X0)) = X0,
inference(superposition,[status(thm)],[c_11254,c_11117]) ).
tcf(c_13219,plain,
multiply(sk_c4,identity) = inverse(iPr_def_19),
inference(superposition,[status(thm)],[c_11254,c_12212]) ).
tcf(c_13293,plain,
inverse(iPr_def_19) = sk_c4,
inference(demodulation,[status(thm)],[c_13219,c_12212]) ).
tcf(c_13298,plain,
multiply(sk_c4,sk_c7) = iPr_def_18,
inference(superposition,[status(thm)],[c_3962,c_13217]) ).
tcf(c_13344,plain,
( ~ iPr_def_14
| ( inverse(inverse(iPr_def_17)) != sk_c8 )
| ( multiply(sk_c5,sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_11255,c_374]) ).
tcf(c_13345,plain,
multiply(sk_c5,iPr_def_17) = identity,
inference(superposition,[status(thm)],[c_11255,c_79]) ).
tcf(c_13348,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_17)) != sk_c7 )
| ( multiply(sk_c5,sk_c7) != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_11255,c_2750]) ).
tcf(c_13352,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_17)) != sk_c7 )
| ( multiply(sk_c5,iPr_def_25) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_11255,c_2534]) ).
tcf(c_13353,plain,
multiply(sk_c5,identity) = inverse(iPr_def_17),
inference(superposition,[status(thm)],[c_11255,c_12212]) ).
tcf(c_13354,plain,
( ~ iPr_def_12
| ( sk_c7 != iPr_def_15 )
| ( inverse(inverse(iPr_def_17)) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_13352,c_658]) ).
tcf(c_13530,plain,
( ( sk_c7 = iPr_def_17 )
| ~ iPr_def_14
| ( sk_c8 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_400,c_2212]) ).
tcf(c_13531,plain,
( ( sk_c7 = iPr_def_15 )
| ~ iPr_def_14
| ( sk_c8 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_399,c_2212]) ).
tcf(c_13666,plain,
( ( sk_c7 = iPr_def_17 )
| ~ iPr_def_14 ),
inference(global_subsumption_just,[status(thm)],[c_13530,c_6794,c_13530]) ).
tcf(c_13672,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c7 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_373,c_13666]) ).
tcf(c_13678,plain,
( ( sk_c7 = iPr_def_15 )
| ~ iPr_def_14 ),
inference(global_subsumption_just,[status(thm)],[c_13531,c_6725,c_13531]) ).
tcf(c_13684,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c7 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_373,c_13678]) ).
tcf(c_13826,plain,
inverse(iPr_def_17) = sk_c5,
inference(demodulation,[status(thm)],[c_13353,c_12212]) ).
tcf(c_13907,plain,
( iPr_def_13
| iPr_def_12
| ( sk_c7 = iPr_def_17 )
| iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_13672,c_373,c_2616,c_4167,c_4318,c_13666]) ).
tcf(c_13908,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_10
| ( sk_c7 = iPr_def_17 ) ),
inference(renaming,[status(thm)],[c_13907]) ).
tcf(c_13917,plain,
( iPr_def_13
| iPr_def_12
| ( sk_c7 = iPr_def_15 )
| iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_13684,c_373,c_2616,c_4179,c_4330,c_6725,c_13531]) ).
tcf(c_13918,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_10
| ( sk_c7 = iPr_def_15 ) ),
inference(renaming,[status(thm)],[c_13917]) ).
tcf(c_14212,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_16 )
| ( iPr_def_16 != X0 )
| ( sk_c8 != X0 ) ),
inference(instantiation,[status(thm)],[c_3441]) ).
tcf(c_14214,plain,
( ( sk_c8 = iPr_def_16 )
| ( iPr_def_16 != sk_c7 )
| ( sk_c8 != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_14212]) ).
tcf(c_14851,plain,
( ~ iPr_def_13
| ( sk_c8 != iPr_def_16 ) ),
inference(global_subsumption_just,[status(thm)],[c_2396,c_2404,c_2396,c_4215,c_4227]) ).
tcf(c_14875,plain,
( ( sk_c8 = iPr_def_19 )
| ~ iPr_def_13
| ( iPr_def_16 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_398,c_14851]) ).
tcf(c_14876,plain,
( ( sk_c8 = iPr_def_18 )
| ~ iPr_def_13
| ( iPr_def_16 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_397,c_14851]) ).
tcf(c_14883,plain,
( ( sk_c8 = iPr_def_19 )
| ~ iPr_def_13
| ( iPr_def_16 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_386,c_14851]) ).
tcf(c_14884,plain,
( ( sk_c8 = iPr_def_18 )
| ~ iPr_def_13
| ( iPr_def_16 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_385,c_14851]) ).
tcf(c_14887,plain,
( ( sk_c7 = iPr_def_16 )
| ~ iPr_def_13
| ( iPr_def_16 != iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_382,c_14851]) ).
tcf(c_15041,plain,
( ( iPr_def_16 != iPr_def_23 )
| ~ iPr_def_13 ),
inference(global_subsumption_just,[status(thm)],[c_14875,c_2404,c_14876,c_14875]) ).
tcf(c_15042,plain,
( ~ iPr_def_13
| ( iPr_def_16 != iPr_def_23 ) ),
inference(renaming,[status(thm)],[c_15041]) ).
tcf(c_16518,plain,
( ( iPr_def_16 != iPr_def_20 )
| ~ iPr_def_13 ),
inference(global_subsumption_just,[status(thm)],[c_14883,c_2404,c_14883,c_14884]) ).
tcf(c_16519,plain,
( ~ iPr_def_13
| ( iPr_def_16 != iPr_def_20 ) ),
inference(renaming,[status(thm)],[c_16518]) ).
tcf(c_17137,plain,
( ( sk_c7 = iPr_def_16 )
| ~ iPr_def_13 ),
inference(global_subsumption_just,[status(thm)],[c_14887,c_2404,c_4342,c_4356]) ).
tcf(c_17251,plain,
multiply(sk_c1,iPr_def_23) = identity,
inference(superposition,[status(thm)],[c_11256,c_79]) ).
tcf(c_17257,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_23,X0)) = X0,
inference(superposition,[status(thm)],[c_11256,c_11117]) ).
tcf(c_17259,plain,
multiply(sk_c1,identity) = inverse(iPr_def_23),
inference(superposition,[status(thm)],[c_11256,c_12212]) ).
tcf(c_17284,plain,
( ( identity = iPr_def_24 )
| ( sk_c8 = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_1332,c_17251]) ).
tcf(c_17285,plain,
( ( identity = iPr_def_24 )
| ( sk_c8 = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_1268,c_17251]) ).
tcf(c_17286,plain,
( ( identity = iPr_def_24 )
| ( sk_c7 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_1185,c_17251]) ).
tcf(c_17287,plain,
( ( identity = iPr_def_24 )
| ( sk_c7 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_1116,c_17251]) ).
tcf(c_17323,plain,
multiply(iPr_def_23,identity) = iPr_def_23,
inference(superposition,[status(thm)],[c_17251,c_1744]) ).
tcf(c_17341,plain,
inverse(iPr_def_23) = sk_c1,
inference(demodulation,[status(thm)],[c_17259,c_12212]) ).
tcf(c_17432,plain,
multiply(sk_c1,sk_c8) = iPr_def_24,
inference(superposition,[status(thm)],[c_3816,c_17257]) ).
tcf(c_17769,plain,
multiply(identity,inverse(sk_c3)) = inverse(sk_c3),
inference(instantiation,[status(thm)],[c_925]) ).
tcf(c_19426,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_17285,c_17284]) ).
tcf(c_19479,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_17285,c_372]) ).
tcf(c_19480,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_17285,c_371]) ).
tcf(c_19656,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_17286,c_365]) ).
tcf(c_19940,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_17287,c_367]) ).
tcf(c_20131,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( inverse(iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19426,c_12236]) ).
tcf(c_20133,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_19 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_19426,c_78]) ).
tcf(c_21136,plain,
! [X0: $i] :
( ( sk_c8 = X0 )
| ( sk_c8 != iPr_def_19 )
| ( X0 != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_6327]) ).
tcf(c_21149,plain,
! [X0: $i] :
( ( sk_c8 = X0 )
| ( sk_c8 != sk_c8 )
| ( X0 != sk_c8 ) ),
inference(instantiation,[status(thm)],[c_6327]) ).
tcf(c_21150,plain,
( ( sk_c8 = sk_c7 )
| ( sk_c8 != sk_c8 )
| ( sk_c7 != sk_c8 ) ),
inference(instantiation,[status(thm)],[c_21149]) ).
tcf(c_21193,plain,
( ( sk_c8 = inverse(sk_c3) )
| ( sk_c8 != iPr_def_19 )
| ( inverse(sk_c3) != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_6265]) ).
tcf(c_21270,plain,
! [X0: $i] :
( ( inverse(sk_c3) = sk_c8 )
| ( sk_c8 != X0 )
| ( inverse(sk_c3) != X0 ) ),
inference(instantiation,[status(thm)],[c_8598]) ).
tcf(c_21271,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( sk_c8 != sk_c7 )
| ( inverse(sk_c3) != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_21270]) ).
tcf(c_22248,plain,
multiply(sk_c2,iPr_def_21) = identity,
inference(superposition,[status(thm)],[c_11257,c_79]) ).
tcf(c_22254,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_21,X0)) = X0,
inference(superposition,[status(thm)],[c_11257,c_11117]) ).
tcf(c_22256,plain,
multiply(sk_c2,identity) = inverse(iPr_def_21),
inference(superposition,[status(thm)],[c_11257,c_12212]) ).
tcf(c_22279,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( identity = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_2010,c_22248]) ).
tcf(c_23308,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_22279,c_19426]) ).
tcf(c_24184,plain,
inverse(iPr_def_21) = sk_c2,
inference(demodulation,[status(thm)],[c_22256,c_12212]) ).
tcf(c_24193,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_25) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_944,c_22254]) ).
tcf(c_24218,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(iPr_def_22,sk_c8) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_24193,c_9008]) ).
tcf(c_25989,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( iPr_def_16 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_23308,c_3770]) ).
tcf(c_27334,plain,
( ~ iPr_def_13
| ( sk_c8 != iPr_def_18 )
| ( inverse(sk_c4) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_365,c_375]) ).
tcf(c_27360,plain,
( ~ iPr_def_13
| ( sk_c8 != iPr_def_19 )
| ( sk_c8 != iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_27334,c_366]) ).
tcf(c_29577,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c4,iPr_def_25) = multiply(iPr_def_18,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_19479,c_1731]) ).
tcf(c_29583,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_18,sk_c8) = multiply(iPr_def_18,iPr_def_18) ) ),
inference(light_normalisation,[status(thm)],[c_29577,c_8451]) ).
tcf(c_29604,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_19480,c_1744]) ).
tcf(c_30084,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(sk_c4),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_19656,c_11117]) ).
tcf(c_30189,plain,
multiply(sk_c3,iPr_def_16) = identity,
inference(superposition,[status(thm)],[c_11258,c_79]) ).
tcf(c_30192,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_16)) != sk_c7 )
| ( multiply(sk_c3,sk_c7) != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_11258,c_2750]) ).
tcf(c_30195,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_16,X0)) = X0,
inference(superposition,[status(thm)],[c_11258,c_11117]) ).
tcf(c_30197,plain,
multiply(sk_c3,identity) = inverse(iPr_def_16),
inference(superposition,[status(thm)],[c_11258,c_12212]) ).
tcf(c_30210,plain,
( ~ iPr_def_10
| ( iPr_def_20 != iPr_def_25 )
| ( inverse(inverse(iPr_def_16)) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_30192,c_367]) ).
tcf(c_30219,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( identity = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_1841,c_30189]) ).
tcf(c_30356,plain,
inverse(iPr_def_16) = sk_c3,
inference(demodulation,[status(thm)],[c_30197,c_12212]) ).
tcf(c_31880,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_30219,c_22279]) ).
tcf(c_31887,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_19 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_30219,c_78]) ).
tcf(c_32427,plain,
multiply(sk_c3,sk_c7) = iPr_def_20,
inference(superposition,[status(thm)],[c_4016,c_30195]) ).
tcf(c_33927,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( sk_c8 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_20133,c_3771]) ).
tcf(c_34107,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( iPr_def_16 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_31880,c_25989]) ).
tcf(c_36785,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_19 )
| ( sk_c8 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_33927,c_398]) ).
tcf(c_36786,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_19 )
| ( sk_c8 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_33927,c_397]) ).
tcf(c_37143,plain,
( ( iPr_def_18 = iPr_def_19 )
| ~ iPr_def_13 ),
inference(superposition,[status(thm)],[c_34107,c_16519]) ).
tcf(c_39189,plain,
( ( sk_c8 = multiply(identity,inverse(sk_c3)) )
| ( sk_c8 != inverse(sk_c3) )
| ( multiply(identity,inverse(sk_c3)) != inverse(sk_c3) ) ),
inference(instantiation,[status(thm)],[c_6362]) ).
tcf(c_39191,plain,
( ( sk_c8 = iPr_def_16 )
| ( iPr_def_16 != multiply(identity,inverse(sk_c3)) )
| ( sk_c8 != multiply(identity,inverse(sk_c3)) ) ),
inference(instantiation,[status(thm)],[c_14212]) ).
tcf(c_40407,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_36786,c_36785]) ).
tcf(c_41601,plain,
( ~ iPr_def_14
| ( sk_c8 != identity )
| ( sk_c7 != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_2190,c_12236]) ).
tcf(c_42026,plain,
( ~ iPr_def_13
| ( sk_c7 != sk_c8 ) ),
inference(global_subsumption_just,[status(thm)],[c_2378,c_363,c_382,c_1370,c_1371,c_1775,c_3068,c_3069,c_5326,c_8670,c_14214,c_14851,c_17137,c_17769,c_21150,c_21193,c_21271,c_39189,c_39191]) ).
tcf(c_42076,plain,
( ( sk_c8 = iPr_def_19 )
| ~ iPr_def_13
| ( sk_c7 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_386,c_42026]) ).
tcf(c_42077,plain,
( ( sk_c8 = iPr_def_18 )
| ~ iPr_def_13
| ( sk_c7 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_385,c_42026]) ).
tcf(c_42711,plain,
( ( sk_c7 != iPr_def_20 )
| ~ iPr_def_13 ),
inference(global_subsumption_just,[status(thm)],[c_42076,c_2404,c_42076,c_42077]) ).
tcf(c_42712,plain,
( ~ iPr_def_13
| ( sk_c7 != iPr_def_20 ) ),
inference(renaming,[status(thm)],[c_42711]) ).
tcf(c_42762,plain,
( ( sk_c7 = iPr_def_17 )
| ~ iPr_def_13
| ( iPr_def_20 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_400,c_42712]) ).
tcf(c_42763,plain,
( ( sk_c7 = iPr_def_15 )
| ~ iPr_def_13
| ( iPr_def_20 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_399,c_42712]) ).
tcf(c_44343,plain,
( ~ iPr_def_11
| ( sk_c7 != identity )
| ( sk_c7 != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_2598,c_12236]) ).
tcf(c_45731,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( sk_c8 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_31887,c_4277]) ).
tcf(c_46075,plain,
( ( iPr_def_24 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_45731,c_33927]) ).
tcf(c_46699,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_46075,c_40407]) ).
tcf(c_47100,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_46699,c_3768]) ).
tcf(c_47181,plain,
( ( sk_c8 = iPr_def_18 )
| ( iPr_def_18 != iPr_def_19 )
| ( sk_c8 != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_21136]) ).
tcf(c_47431,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( inverse(iPr_def_21) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_47100,c_17341]) ).
tcf(c_47455,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( sk_c1 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_47431,c_24184]) ).
tcf(c_58323,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( inverse(iPr_def_21) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_3768,c_20131]) ).
tcf(c_58327,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( sk_c2 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_58323,c_24184]) ).
tcf(c_58362,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( sk_c1 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_58327,c_47455]) ).
tcf(c_58654,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( inverse(iPr_def_21) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58362,c_370]) ).
tcf(c_58657,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( sk_c2 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_58654,c_24184]) ).
tcf(c_59451,plain,
( ~ iPr_def_14
| ( sk_c8 != iPr_def_17 )
| ( multiply(sk_c5,sk_c8) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_13344,c_364,c_13826]) ).
tcf(c_60123,plain,
( ~ iPr_def_13
| ( sk_c8 != iPr_def_19 ) ),
inference(global_subsumption_just,[status(thm)],[c_27360,c_2404,c_37143,c_47181]) ).
tcf(c_60642,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_58657,c_3772]) ).
tcf(c_60665,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( sk_c8 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_60642,c_3816]) ).
tcf(c_61676,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_60665,c_2009]) ).
tcf(c_61726,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( sk_c7 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_61676,c_3811]) ).
tcf(c_68886,plain,
( ~ iPr_def_13
| ( sk_c8 != iPr_def_19 ) ),
inference(global_subsumption_just,[status(thm)],[c_2404,c_60123]) ).
tcf(c_68908,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_13 ),
inference(superposition,[status(thm)],[c_17284,c_68886]) ).
tcf(c_70482,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_68908,c_61726,c_68886,c_59451,c_44343,c_42763,c_42762,c_41601,c_32427,c_30356,c_30210,c_30189,c_30084,c_29604,c_29583,c_24218,c_19940,c_19426,c_17432,c_17341,c_17323,c_17287,c_17284,c_15042,c_13918,c_13908,c_13826,c_13354,c_13348,c_13345,c_13298,c_13293,c_13214,c_13211,c_12247,c_12246,c_12244,c_12238,c_12237,c_12230,c_12229,c_12224,c_12223,c_12222,c_12220,c_12236,c_12189,c_12185,c_11246,c_11197,c_11134,c_11133,c_11125,c_11123,c_9198,c_6119,c_4595,c_4139,c_2785,c_2599,c_2550,c_2191,c_951,c_400,c_396,c_382,c_381,c_380,c_379,c_366,c_364,c_363,c_373]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP314-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 14:26:59 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 17.99/3.63 % SZS status Started for theBenchmark.p
% 17.99/3.63 % SZS status Unsatisfiable for theBenchmark.p
% 17.99/3.63
% 17.99/3.63 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 17.99/3.63
% 17.99/3.63 % ------ iProver source info
% 17.99/3.63
% 17.99/3.63 % git: date: 2026-07-19 20:42:38 +0200
% 17.99/3.63 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 17.99/3.63 % git: non_committed_changes: false
% 17.99/3.63
% 17.99/3.63 % ------ Parsing...% successful
% 17.99/3.63
% 17.99/3.63
% 17.99/3.63 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 17.99/3.63
% 17.99/3.63 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 17.99/3.63
% 17.99/3.63 % ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e %
% 17.99/3.63
% 17.99/3.63 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 17.99/3.63 % ------ Proving...
% 17.99/3.63 % ------ Problem Properties
% 17.99/3.63
% 17.99/3.63 %
% 17.99/3.63 % clauses 45
% 17.99/3.63 % conjectures 31
% 17.99/3.63 % EPR 26
% 17.99/3.63 % Horn 20
% 17.99/3.63 % unary 15
% 17.99/3.63 % binary 24
% 17.99/3.63 % lits 83
% 17.99/3.63 % lits eq 73
% 17.99/3.63 % fd_pure 0
% 17.99/3.63 % fd_pseudo 0
% 17.99/3.63 % fd_cond 0
% 17.99/3.63 % fd_pseudo_cond 0
% 17.99/3.63 % AC symbols 0
% 17.99/3.63
% 17.99/3.63 % ------ Schedule dynamic 5 is on
% 17.99/3.63
% 17.99/3.63 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 17.99/3.63
% 17.99/3.63
% 17.99/3.63 % ------
% 17.99/3.63 % Current options:
% 17.99/3.63 % ------
% 17.99/3.63
% 17.99/3.63
% 17.99/3.63 %
% 17.99/3.63
% 17.99/3.63 % ------ Proving...
% 17.99/3.63 %
% 17.99/3.63
% 17.99/3.63 % SZS status Unsatisfiable for theBenchmark.p
% 17.99/3.63
% 17.99/3.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.99/3.64
% 17.99/3.64
%------------------------------------------------------------------------------