%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP347-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n012.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 01:33:18 PM UTC 2026
% Result : Unsatisfiable 7.43s 11.56s
% Output : CNFRefutation 7.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 35
% Syntax : Number of formulae : 223 ( 94 unt; 11 def)
% Number of atoms : 640 ( 382 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 287 ( 99 ~; 188 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 2 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 : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 67 ( 0 sgn 67 !; 0 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c6) = sk_c5
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c5 = inverse(sk_c6)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( inverse(sk_c3) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( sk_c6 = inverse(sk_c3)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c5
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( sk_c5 = multiply(sk_c4,sk_c7)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c7 = inverse(sk_c4)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c6) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c5 = inverse(sk_c6)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f19]) ).
fof(f29,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| sk_c7 = multiply(sk_c1,sk_c6) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c6) = sk_c5
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c5 = inverse(sk_c6)
| sk_c7 = multiply(sk_c1,sk_c6) ),
inference(reorient_equations,[],[f31]) ).
fof(f41,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c6) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c5 = inverse(sk_c6)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f43]) ).
fof(f49,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c5 = multiply(sk_c4,sk_c7)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c7 = inverse(sk_c4)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| sk_c6 = multiply(sk_c2,sk_c5) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( inverse(sk_c6) = sk_c5
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c5 = inverse(sk_c6)
| sk_c6 = multiply(sk_c2,sk_c5) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c2,sk_c5) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c3) = sk_c6
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c6 = inverse(sk_c3)
| sk_c6 = multiply(sk_c2,sk_c5) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c5
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c5 = multiply(sk_c4,sk_c7)
| sk_c6 = multiply(sk_c2,sk_c5) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c7 = inverse(sk_c4)
| sk_c6 = multiply(sk_c2,sk_c5) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
! [X2,X3,X0,X1] :
( inverse(X3) != sk_c7
| multiply(X3,sk_c7) != sk_c5
| inverse(X2) != sk_c6
| multiply(X2,sk_c6) != sk_c7
| inverse(sk_c6) != sk_c5
| multiply(sk_c6,sk_c5) != sk_c7
| multiply(X1,sk_c5) != sk_c6
| inverse(X1) != sk_c6
| multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
! [X2,X3,X0,X1] :
( sk_c7 != inverse(X3)
| sk_c5 != multiply(X3,sk_c7)
| sk_c6 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6)
| sk_c5 != inverse(sk_c6)
| sk_c7 != multiply(sk_c6,sk_c5)
| sk_c6 != multiply(X1,sk_c5)
| sk_c6 != inverse(X1)
| sk_c7 != multiply(X0,sk_c6)
| inverse(X0) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5 ),
inference(reorient_equations,[],[f65]) ).
tcf(c_83,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_84,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_86,negated_conjecture,
( ( multiply(sk_c6,sk_c5) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_87,negated_conjecture,
( ( inverse(sk_c6) = sk_c5 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_88,negated_conjecture,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_89,negated_conjecture,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_90,negated_conjecture,
( ( multiply(sk_c4,sk_c7) = sk_c5 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_91,negated_conjecture,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_92,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_93,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_98,negated_conjecture,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_99,negated_conjecture,
( ( inverse(sk_c6) = sk_c5 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_104,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_105,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_108,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c4,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_109,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c4) = sk_c7 ) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_110,negated_conjecture,
( ( multiply(sk_c2,sk_c5) = sk_c6 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_111,negated_conjecture,
( ( inverse(sk_c6) = sk_c5 )
| ( multiply(sk_c2,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_112,negated_conjecture,
( ( multiply(sk_c2,sk_c5) = sk_c6 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_113,negated_conjecture,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c2,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_114,negated_conjecture,
( ( multiply(sk_c2,sk_c5) = sk_c6 )
| ( multiply(sk_c4,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_115,negated_conjecture,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c2,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_116,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse(sk_c6) != sk_c5 )
| ( inverse(X3) != sk_c7 )
| ( inverse(X2) != sk_c6 )
| ( inverse(X1) != sk_c6 )
| ( inverse(X0) != sk_c7 )
| ( multiply(sk_c6,sk_c5) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( multiply(X3,sk_c7) != sk_c5 )
| ( multiply(X2,sk_c6) != sk_c7 )
| ( multiply(X1,sk_c5) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_413,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_116]) ).
tcf(c_414,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c5) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_116]) ).
tcf(c_415,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c5 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_116]) ).
tcf(c_416,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_116]) ).
tcf(c_417,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( inverse(sk_c6) != sk_c5 )
| ( multiply(sk_c6,sk_c5) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c5 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_116]) ).
tcf(c_418,definition,
iPr_def_14 = multiply(sk_c6,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_419,definition,
iPr_def_15 = multiply(sk_c6,sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_420,definition,
iPr_def_16 = inverse(sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_421,definition,
iPr_def_17 = multiply(sk_c2,sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_422,definition,
iPr_def_18 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_423,definition,
iPr_def_19 = multiply(sk_c4,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_424,definition,
iPr_def_20 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_425,definition,
iPr_def_21 = multiply(sk_c3,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_426,definition,
iPr_def_22 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_427,definition,
iPr_def_23 = multiply(sk_c1,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_428,definition,
iPr_def_24 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_429,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_16 != sk_c5 )
| ( iPr_def_15 != sk_c7 )
| ( iPr_def_14 != sk_c5 ) ),
inference(demodulation,[status(thm)],[c_417,c_420,c_419,c_418]) ).
tcf(c_430,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_416]) ).
tcf(c_431,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c5 ) ),
inference(demodulation,[status(thm)],[c_415]) ).
tcf(c_432,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c5) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_414]) ).
tcf(c_433,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_413]) ).
tcf(c_434,negated_conjecture,
( ( iPr_def_18 = sk_c7 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_115,c_422,c_421]) ).
tcf(c_435,negated_conjecture,
( ( iPr_def_19 = sk_c5 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_114,c_423]) ).
tcf(c_436,negated_conjecture,
( ( iPr_def_20 = sk_c6 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_113,c_424]) ).
tcf(c_437,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_112,c_425]) ).
tcf(c_438,negated_conjecture,
( ( iPr_def_17 = sk_c6 )
| ( iPr_def_16 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_111]) ).
tcf(c_439,negated_conjecture,
( ( iPr_def_17 = sk_c6 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_110]) ).
tcf(c_440,negated_conjecture,
( ( iPr_def_22 = sk_c6 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_109,c_426]) ).
tcf(c_441,negated_conjecture,
( ( iPr_def_22 = sk_c6 )
| ( iPr_def_19 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_108]) ).
tcf(c_444,negated_conjecture,
( ( iPr_def_22 = sk_c6 )
| ( iPr_def_16 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_105]) ).
tcf(c_445,negated_conjecture,
( ( iPr_def_22 = sk_c6 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_104]) ).
tcf(c_450,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_16 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_451,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_456,negated_conjecture,
( ( iPr_def_24 = sk_c7 )
| ( iPr_def_16 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_457,negated_conjecture,
( ( iPr_def_24 = sk_c7 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_458,negated_conjecture,
( ( iPr_def_18 = sk_c7 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_91]) ).
tcf(c_459,negated_conjecture,
( ( iPr_def_19 = sk_c5 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_460,negated_conjecture,
( ( iPr_def_20 = sk_c6 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_461,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_462,negated_conjecture,
( ( iPr_def_16 = sk_c5 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_463,negated_conjecture,
( ( iPr_def_15 = sk_c7 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_822,plain,
( ( sk_c6 = iPr_def_22 )
| ( multiply(sk_c6,iPr_def_16) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_444,c_419]) ).
tcf(c_823,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c6 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_444,c_441]) ).
tcf(c_841,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c6 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_445,c_440]) ).
tcf(c_1058,plain,
multiply(iPr_def_16,sk_c6) = identity,
inference(superposition,[status(thm)],[c_420,c_84]) ).
tcf(c_1059,plain,
multiply(iPr_def_20,sk_c3) = identity,
inference(superposition,[status(thm)],[c_424,c_84]) ).
tcf(c_1060,plain,
multiply(iPr_def_18,sk_c4) = identity,
inference(superposition,[status(thm)],[c_422,c_84]) ).
tcf(c_1061,plain,
multiply(iPr_def_24,sk_c1) = identity,
inference(superposition,[status(thm)],[c_428,c_84]) ).
tcf(c_1062,plain,
multiply(iPr_def_22,sk_c2) = identity,
inference(superposition,[status(thm)],[c_426,c_84]) ).
tcf(c_1525,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_14) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_458,c_421]) ).
tcf(c_1886,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c5 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_462,c_459]) ).
tcf(c_1891,plain,
( ( sk_c5 = iPr_def_14 )
| ( multiply(sk_c6,iPr_def_16) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_462,c_419]) ).
tcf(c_2232,plain,
( ~ iPr_def_12
| ( sk_c5 != identity )
| ( inverse(inverse(sk_c7)) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_84,c_431]) ).
tcf(c_2380,plain,
( ~ iPr_def_11
| ( sk_c6 != sk_c5 )
| ( inverse(identity) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_83,c_432]) ).
tcf(c_3005,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_22) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_823,c_420]) ).
tcf(c_3063,plain,
! [X0: $i] : multiply(sk_c6,multiply(sk_c5,X0)) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_419,c_85]) ).
tcf(c_3064,plain,
! [X0: $i] : multiply(sk_c3,multiply(sk_c6,X0)) = multiply(iPr_def_21,X0),
inference(superposition,[status(thm)],[c_425,c_85]) ).
tcf(c_3069,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_84,c_85]) ).
tcf(c_3071,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c6,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1058,c_85]) ).
tcf(c_3072,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1059,c_85]) ).
tcf(c_3073,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1060,c_85]) ).
tcf(c_3074,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1061,c_85]) ).
tcf(c_3075,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1062,c_85]) ).
tcf(c_3081,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3075,c_83]) ).
tcf(c_3082,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3074,c_83]) ).
tcf(c_3083,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3073,c_83]) ).
tcf(c_3084,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3072,c_83]) ).
tcf(c_3085,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c6,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3071,c_83]) ).
tcf(c_3249,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( inverse(iPr_def_22) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_841,c_420]) ).
tcf(c_3983,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_14) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1886,c_421]) ).
tcf(c_4223,plain,
multiply(iPr_def_22,iPr_def_17) = sk_c5,
inference(superposition,[status(thm)],[c_421,c_3081]) ).
tcf(c_4251,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(iPr_def_17,X0)) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_4223,c_85]) ).
tcf(c_4253,plain,
multiply(iPr_def_24,iPr_def_23) = sk_c6,
inference(superposition,[status(thm)],[c_427,c_3082]) ).
tcf(c_4256,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(iPr_def_23,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_4253,c_85]) ).
tcf(c_4301,plain,
multiply(iPr_def_18,iPr_def_19) = sk_c7,
inference(superposition,[status(thm)],[c_423,c_3083]) ).
tcf(c_4310,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(iPr_def_19,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_4301,c_85]) ).
tcf(c_4562,plain,
multiply(iPr_def_20,iPr_def_21) = sk_c6,
inference(superposition,[status(thm)],[c_425,c_3084]) ).
tcf(c_4565,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(iPr_def_21,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_4562,c_85]) ).
tcf(c_4574,plain,
multiply(iPr_def_16,iPr_def_14) = sk_c7,
inference(superposition,[status(thm)],[c_418,c_3085]) ).
tcf(c_4575,plain,
multiply(iPr_def_16,iPr_def_15) = sk_c5,
inference(superposition,[status(thm)],[c_419,c_3085]) ).
tcf(c_4733,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(iPr_def_14,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_4574,c_85]) ).
tcf(c_4744,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(iPr_def_15,X0)) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_4575,c_85]) ).
tcf(c_11827,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_3069,c_83]) ).
tcf(c_11846,plain,
multiply(inverse(sk_c6),iPr_def_14) = sk_c7,
inference(superposition,[status(thm)],[c_418,c_11827]) ).
tcf(c_11852,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_83,c_11827]) ).
tcf(c_11853,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_84,c_11827]) ).
tcf(c_11990,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),X0) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_3085,c_11827]) ).
tcf(c_11991,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_3084,c_11827]) ).
tcf(c_11992,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_3083,c_11827]) ).
tcf(c_11993,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_3082,c_11827]) ).
tcf(c_11994,plain,
! [X0: $i] : multiply(inverse(iPr_def_22),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_3081,c_11827]) ).
tcf(c_12016,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_11827,c_11827]) ).
tcf(c_12463,plain,
( ~ iPr_def_10
| ( sk_c6 != sk_c7 )
| ( inverse(inverse(identity)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_11852,c_433]) ).
tcf(c_12503,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_11853,c_12016]) ).
tcf(c_12517,plain,
multiply(sk_c6,sk_c5) = multiply(iPr_def_15,identity),
inference(superposition,[status(thm)],[c_12503,c_3063]) ).
tcf(c_12521,plain,
multiply(sk_c6,identity) = multiply(iPr_def_24,iPr_def_23),
inference(superposition,[status(thm)],[c_12503,c_4256]) ).
tcf(c_12522,plain,
multiply(sk_c5,identity) = multiply(iPr_def_22,iPr_def_17),
inference(superposition,[status(thm)],[c_12503,c_4251]) ).
tcf(c_12527,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_12503,c_11852]) ).
tcf(c_12528,plain,
multiply(sk_c5,identity) = sk_c5,
inference(light_normalisation,[status(thm)],[c_12522,c_4223]) ).
tcf(c_12532,plain,
multiply(iPr_def_15,identity) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_12517,c_419]) ).
tcf(c_12557,plain,
multiply(sk_c7,identity) = multiply(iPr_def_18,iPr_def_19),
inference(superposition,[status(thm)],[c_12503,c_4310]) ).
tcf(c_12560,plain,
multiply(sk_c7,identity) = sk_c7,
inference(light_normalisation,[status(thm)],[c_12557,c_4301]) ).
tcf(c_12563,plain,
multiply(sk_c6,identity) = multiply(iPr_def_20,iPr_def_21),
inference(superposition,[status(thm)],[c_12503,c_4565]) ).
tcf(c_12599,plain,
multiply(sk_c7,identity) = multiply(iPr_def_16,iPr_def_14),
inference(superposition,[status(thm)],[c_12503,c_4733]) ).
tcf(c_12612,plain,
multiply(sk_c5,identity) = multiply(iPr_def_16,iPr_def_15),
inference(superposition,[status(thm)],[c_12503,c_4744]) ).
tcf(c_13290,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_16)) != sk_c7 )
| ( multiply(sk_c6,sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_11990,c_430]) ).
tcf(c_13291,plain,
multiply(sk_c6,iPr_def_16) = identity,
inference(superposition,[status(thm)],[c_11990,c_84]) ).
tcf(c_13296,plain,
! [X0: $i] : multiply(sk_c6,multiply(iPr_def_16,X0)) = X0,
inference(superposition,[status(thm)],[c_11990,c_11827]) ).
tcf(c_13297,plain,
multiply(sk_c6,identity) = inverse(iPr_def_16),
inference(superposition,[status(thm)],[c_11990,c_12503]) ).
tcf(c_13312,plain,
( ( identity = iPr_def_15 )
| ( sk_c5 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_1891,c_13291]) ).
tcf(c_13315,plain,
( ( identity = iPr_def_15 )
| ( sk_c6 = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_822,c_13291]) ).
tcf(c_13348,plain,
multiply(sk_c3,identity) = multiply(iPr_def_21,iPr_def_16),
inference(superposition,[status(thm)],[c_13291,c_3064]) ).
tcf(c_13349,plain,
multiply(iPr_def_16,identity) = iPr_def_16,
inference(superposition,[status(thm)],[c_13291,c_3085]) ).
tcf(c_13412,plain,
inverse(iPr_def_16) = sk_c6,
inference(demodulation,[status(thm)],[c_13297,c_12503]) ).
tcf(c_13561,plain,
( ( identity = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_14) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_13312,c_421]) ).
tcf(c_14091,plain,
( ( identity = iPr_def_15 )
| ( inverse(iPr_def_22) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_13315,c_420]) ).
tcf(c_14262,plain,
multiply(sk_c6,sk_c7) = iPr_def_14,
inference(superposition,[status(thm)],[c_4574,c_13296]) ).
tcf(c_14263,plain,
multiply(sk_c6,sk_c5) = iPr_def_15,
inference(superposition,[status(thm)],[c_4575,c_13296]) ).
tcf(c_15039,plain,
multiply(iPr_def_21,iPr_def_16) = sk_c3,
inference(demodulation,[status(thm)],[c_13348,c_12503]) ).
tcf(c_16614,plain,
( ~ iPr_def_11
| ( sk_c6 != identity )
| ( sk_c6 != sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_2380,c_12527]) ).
tcf(c_17538,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_20)) != sk_c6 )
| ( multiply(sk_c3,sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_11991,c_433]) ).
tcf(c_17544,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_20)) != sk_c6 )
| ( multiply(sk_c3,sk_c5) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_11991,c_432]) ).
tcf(c_17546,plain,
multiply(sk_c3,identity) = inverse(iPr_def_20),
inference(superposition,[status(thm)],[c_11991,c_12503]) ).
tcf(c_17559,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_21 )
| ( inverse(inverse(iPr_def_20)) != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_17538,c_425]) ).
tcf(c_18033,plain,
inverse(iPr_def_20) = sk_c3,
inference(demodulation,[status(thm)],[c_17546,c_12503]) ).
tcf(c_18285,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_18)) != sk_c7 )
| ( multiply(sk_c4,sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_11992,c_430]) ).
tcf(c_18289,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_18)) != sk_c7 )
| ( multiply(sk_c4,sk_c7) != sk_c5 ) ),
inference(superposition,[status(thm)],[c_11992,c_431]) ).
tcf(c_18291,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_18,X0)) = X0,
inference(superposition,[status(thm)],[c_11992,c_11827]) ).
tcf(c_18292,plain,
multiply(sk_c4,identity) = inverse(iPr_def_18),
inference(superposition,[status(thm)],[c_11992,c_12503]) ).
tcf(c_18296,plain,
( ~ iPr_def_12
| ( sk_c5 != iPr_def_19 )
| ( inverse(inverse(iPr_def_18)) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_18289,c_423]) ).
tcf(c_18404,plain,
inverse(iPr_def_18) = sk_c4,
inference(demodulation,[status(thm)],[c_18292,c_12503]) ).
tcf(c_19327,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm)],[c_1060,c_18291]) ).
tcf(c_19329,plain,
multiply(sk_c4,sk_c7) = iPr_def_19,
inference(superposition,[status(thm)],[c_4301,c_18291]) ).
tcf(c_19866,plain,
multiply(sk_c1,iPr_def_24) = identity,
inference(superposition,[status(thm)],[c_11993,c_84]) ).
tcf(c_19871,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_24,X0)) = X0,
inference(superposition,[status(thm)],[c_11993,c_11827]) ).
tcf(c_20086,plain,
multiply(sk_c1,sk_c6) = iPr_def_23,
inference(superposition,[status(thm)],[c_4253,c_19871]) ).
tcf(c_20510,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_22,X0)) = X0,
inference(superposition,[status(thm)],[c_11994,c_11827]) ).
tcf(c_20511,plain,
multiply(sk_c2,identity) = inverse(iPr_def_22),
inference(superposition,[status(thm)],[c_11994,c_12503]) ).
tcf(c_20625,plain,
inverse(iPr_def_22) = sk_c2,
inference(demodulation,[status(thm)],[c_20511,c_12503]) ).
tcf(c_20628,plain,
( ( identity = iPr_def_15 )
| ( sk_c2 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_14091,c_20625]) ).
tcf(c_20629,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c2 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_3249,c_20625]) ).
tcf(c_20631,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c2 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_3005,c_20625]) ).
tcf(c_20958,plain,
multiply(sk_c2,sk_c5) = iPr_def_17,
inference(superposition,[status(thm)],[c_4223,c_20510]) ).
tcf(c_21200,plain,
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_14) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_20628,c_13561]) ).
tcf(c_21225,plain,
( ( identity = iPr_def_15 )
| ( sk_c7 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_21200,c_4574]) ).
tcf(c_21547,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c7 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_14) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_20629,c_1525]) ).
tcf(c_21575,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c7 = iPr_def_18 )
| ( sk_c7 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_21547,c_4574]) ).
tcf(c_21758,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,iPr_def_14) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_20631,c_3983]) ).
tcf(c_21781,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c7 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_21758,c_4574]) ).
tcf(c_22514,plain,
( ( identity = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_17) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21225,c_418]) ).
tcf(c_24860,plain,
( ~ iPr_def_13
| ( sk_c7 != iPr_def_16 )
| ( multiply(sk_c6,sk_c6) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_13290,c_420,c_13412]) ).
tcf(c_29050,plain,
( ( identity = iPr_def_15 )
| ( multiply(inverse(sk_c6),iPr_def_14) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_22514,c_11827]) ).
tcf(c_29138,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_29050,c_24860,c_21781,c_21575,c_20958,c_20625,c_20086,c_19866,c_19329,c_19327,c_18404,c_18296,c_18285,c_18033,c_17559,c_17544,c_16614,c_15039,c_14263,c_14262,c_13412,c_13349,c_13297,c_13291,c_12612,c_12599,c_12563,c_12560,c_12557,c_12532,c_12528,c_12522,c_12521,c_12527,c_12463,c_11846,c_2232,c_1058,c_463,c_462,c_461,c_460,c_457,c_456,c_451,c_450,c_445,c_439,c_438,c_437,c_436,c_435,c_434,c_429,c_424,c_422,c_420]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP347-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/10.34 % Computer : n012.cluster.edu
% 0.04/10.34 % Model : x86_64 x86_64
% 0.04/10.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/10.34 % Memory : 8046.5625MB
% 0.04/10.34 % OS : Linux 6.8.0-71-generic
% 0.04/10.34 % CPULimit : 300
% 0.04/10.34 % WCLimit : 300
% 0.04/10.34 % DateTime : Wed Sep 23 14:32:31 UTC 2026
% 0.04/10.34 % CPUTime :
% 0.04/10.34 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/10.37 Running first-order theorem proving
% 0.04/10.37 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/10.37
% 0.04/10.37 % ======== iProver multi-core TPTP/SMT =========
% 0.04/10.37
% 0.04/10.37 % Detected problem language: tptp
% 0.04/10.38 % Proving...
% 7.43/11.56 % SZS status Started for theBenchmark.p
% 7.43/11.56 % SZS status Unsatisfiable for theBenchmark.p
% 7.43/11.56
% 7.43/11.56 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.43/11.56
% 7.43/11.56 % ------ iProver source info
% 7.43/11.56
% 7.43/11.56 % git: date: 2026-07-19 20:42:38 +0200
% 7.43/11.56 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.43/11.56 % git: non_committed_changes: false
% 7.43/11.56
% 7.43/11.56 % ------ Parsing...% successful
% 7.43/11.56
% 7.43/11.56
% 7.43/11.56 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 7.43/11.56
% 7.43/11.56 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 7.43/11.56
% 7.43/11.56 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 7.43/11.56
% 7.43/11.56 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.43/11.56 % ------ Proving...
% 7.43/11.56 % ------ Problem Properties
% 7.43/11.56
% 7.43/11.56 %
% 7.43/11.56 % clauses 49
% 7.43/11.56 % conjectures 35
% 7.43/11.56 % EPR 31
% 7.43/11.56 % Horn 18
% 7.43/11.56 % unary 14
% 7.43/11.56 % binary 30
% 7.43/11.56 % lits 93
% 7.43/11.56 % lits eq 85
% 7.43/11.56 % fd_pure 0
% 7.43/11.56 % fd_pseudo 0
% 7.43/11.56 % fd_cond 0
% 7.43/11.56 % fd_pseudo_cond 0
% 7.43/11.56 % AC symbols 0
% 7.43/11.56
% 7.43/11.56 % ------ Schedule dynamic 5 is on
% 7.43/11.56
% 7.43/11.56 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.43/11.56
% 7.43/11.56
% 7.43/11.56 % ------
% 7.43/11.56 % Current options:
% 7.43/11.56 % ------
% 7.43/11.56
% 7.43/11.56
% 7.43/11.56 %
% 7.43/11.56
% 7.43/11.56 % ------ Proving...
% 7.43/11.56 %
% 7.43/11.56
% 7.43/11.56 % SZS status Unsatisfiable for theBenchmark.p
% 7.43/11.56
% 7.43/11.56 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.43/11.57
% 7.43/11.57
%------------------------------------------------------------------------------