%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP365-1 : 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 : n015.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 01:33:24 PM UTC 2026
% Result : Unsatisfiable 13.33s 3.30s
% Output : CNFRefutation 13.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 32
% Syntax : Number of formulae : 217 ( 91 unt; 11 def)
% Number of atoms : 653 ( 379 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 321 ( 124 ~; 197 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 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 : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 69 ( 0 sgn 69 !; 0 ?; 49 :)
% 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_c8,sk_c7) = sk_c6
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| multiply(sk_c6,sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f5]) ).
fof(f17,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c7
| multiply(sk_c8,sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c2) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c8,sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c8,sk_c2) ),
inference(reorient_equations,[],[f19]) ).
fof(f27,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c2 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c8 = inverse(sk_c4)
| sk_c2 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f29]) ).
fof(f37,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f39]) ).
fof(f45,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c8 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c3,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c3,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c7
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c8 = inverse(sk_c4)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c8 = inverse(sk_c5)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( inverse(X4) != sk_c8
| multiply(X4,sk_c8) != sk_c6
| inverse(X3) != sk_c8
| multiply(X3,sk_c8) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6
| inverse(X2) != sk_c6
| multiply(X2,sk_c6) != sk_c8
| inverse(X1) != sk_c8
| multiply(X1,sk_c8) != X0
| multiply(sk_c8,X0) != sk_c7
| multiply(sk_c6,sk_c8) != sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
! [X2,X3,X0,X1,X4] :
( sk_c8 != inverse(X4)
| sk_c6 != multiply(X4,sk_c8)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c6 != inverse(X2)
| sk_c8 != multiply(X2,sk_c6)
| sk_c8 != inverse(X1)
| multiply(X1,sk_c8) != X0
| sk_c7 != multiply(sk_c8,X0)
| multiply(sk_c6,sk_c8) != sk_c7 ),
inference(reorient_equations,[],[f65]) ).
fof(f67,plain,
! [X2,X3,X1,X4] :
( sk_c8 != inverse(X4)
| sk_c6 != multiply(X4,sk_c8)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c6 != inverse(X2)
| sk_c8 != multiply(X2,sk_c6)
| sk_c8 != inverse(X1)
| sk_c7 != multiply(sk_c8,multiply(X1,sk_c8))
| multiply(sk_c6,sk_c8) != sk_c7 ),
inference(equality_resolution,[],[f66]) ).
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_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_92,negated_conjecture,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c2) = sk_c7 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_93,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c8,sk_c2) = sk_c7 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_97,negated_conjecture,
( ( multiply(sk_c1,sk_c8) = sk_c2 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_98,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c2 ) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_102,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_103,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_106,negated_conjecture,
( ( multiply(sk_c3,sk_c6) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_107,negated_conjecture,
( ( multiply(sk_c3,sk_c6) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_108,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c3,sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_109,negated_conjecture,
( ( multiply(sk_c3,sk_c6) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_110,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c3,sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_111,negated_conjecture,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_112,negated_conjecture,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_113,negated_conjecture,
( ( inverse(sk_c3) = sk_c6 )
| ( inverse(sk_c4) = sk_c8 ) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_114,negated_conjecture,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_115,negated_conjecture,
( ( inverse(sk_c3) = sk_c6 )
| ( inverse(sk_c5) = sk_c8 ) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_116,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse(X3) != sk_c8 )
| ( inverse(X2) != sk_c8 )
| ( inverse(X1) != sk_c6 )
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,sk_c7) != sk_c6 )
| ( multiply(sk_c6,sk_c8) != sk_c7 )
| ( multiply(X2,sk_c8) != sk_c7 )
| ( multiply(X1,sk_c6) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c6 )
| ( multiply(sk_c8,multiply(X3,sk_c8)) != sk_c7 ) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_409,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_116]) ).
tcf(c_410,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_116]) ).
tcf(c_411,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_116]) ).
tcf(c_412,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_116]) ).
tcf(c_413,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( multiply(sk_c8,sk_c7) != sk_c6 )
| ( multiply(sk_c6,sk_c8) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_116]) ).
tcf(c_414,definition,
iPr_def_14 = multiply(sk_c6,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_415,definition,
iPr_def_15 = multiply(sk_c8,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_416,definition,
iPr_def_16 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_417,definition,
iPr_def_17 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_418,definition,
iPr_def_18 = multiply(sk_c5,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_419,definition,
iPr_def_19 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_420,definition,
iPr_def_20 = multiply(sk_c4,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_421,definition,
iPr_def_21 = multiply(sk_c3,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_422,definition,
iPr_def_22 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_423,definition,
iPr_def_23 = multiply(sk_c1,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_424,definition,
iPr_def_24 = multiply(sk_c8,sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_425,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 != sk_c6 )
| ( iPr_def_14 != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_413,c_415,c_414]) ).
tcf(c_426,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_412]) ).
tcf(c_427,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_411]) ).
tcf(c_428,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_410]) ).
tcf(c_429,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_409]) ).
tcf(c_430,negated_conjecture,
( ( iPr_def_17 = sk_c6 )
| ( iPr_def_16 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_115,c_417,c_416]) ).
tcf(c_431,negated_conjecture,
( ( iPr_def_18 = sk_c6 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_114,c_418]) ).
tcf(c_432,negated_conjecture,
( ( iPr_def_19 = sk_c8 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_113,c_419]) ).
tcf(c_433,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_112,c_420]) ).
tcf(c_434,negated_conjecture,
( ( iPr_def_17 = sk_c6 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_111]) ).
tcf(c_435,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_16 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_110,c_421]) ).
tcf(c_436,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_18 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_109]) ).
tcf(c_437,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_108]) ).
tcf(c_438,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_20 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_439,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_442,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_103]) ).
tcf(c_443,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_20 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_102]) ).
tcf(c_447,negated_conjecture,
( ( iPr_def_23 = sk_c2 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_448,negated_conjecture,
( ( iPr_def_23 = sk_c2 )
| ( iPr_def_20 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_97]) ).
tcf(c_452,negated_conjecture,
( ( iPr_def_24 = sk_c7 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_453,negated_conjecture,
( ( iPr_def_24 = sk_c7 )
| ( iPr_def_20 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_459,negated_conjecture,
( ( iPr_def_15 = sk_c6 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_735,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_17,sk_c8) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_432,c_414]) ).
tcf(c_754,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_21,sk_c7) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_437,c_415]) ).
tcf(c_763,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_437,c_418]) ).
tcf(c_764,plain,
( ( sk_c8 = iPr_def_16 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_435,c_418]) ).
tcf(c_779,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_438,c_415]) ).
tcf(c_888,plain,
( ( sk_c8 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_443,c_415]) ).
tcf(c_935,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_439,c_421]) ).
tcf(c_936,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_436,c_421]) ).
tcf(c_984,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_22,sk_c2) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_442,c_424]) ).
tcf(c_1008,plain,
multiply(iPr_def_19,sk_c4) = identity,
inference(superposition,[status(thm)],[c_419,c_84]) ).
tcf(c_1009,plain,
multiply(iPr_def_16,sk_c5) = identity,
inference(superposition,[status(thm)],[c_416,c_84]) ).
tcf(c_1010,plain,
multiply(iPr_def_22,sk_c1) = identity,
inference(superposition,[status(thm)],[c_422,c_84]) ).
tcf(c_1011,plain,
multiply(iPr_def_17,sk_c3) = identity,
inference(superposition,[status(thm)],[c_417,c_84]) ).
tcf(c_1048,plain,
( ( sk_c7 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_448,c_424]) ).
tcf(c_1151,plain,
( ( sk_c7 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_453,c_415]) ).
tcf(c_1939,plain,
( ~ iPr_def_12
| ( sk_c7 != identity )
| ( inverse(inverse(sk_c8)) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_84,c_427]) ).
tcf(c_2040,plain,
( ~ iPr_def_11
| ( sk_c6 != iPr_def_20 )
| ( inverse(sk_c4) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_420,c_428]) ).
tcf(c_2064,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_19 )
| ( sk_c6 != iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_2040,c_419]) ).
tcf(c_2154,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_21 )
| ( inverse(sk_c3) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_421,c_429]) ).
tcf(c_2168,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_21 )
| ( sk_c6 != iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_2154,c_417]) ).
tcf(c_2271,plain,
( ~ iPr_def_13
| ( inverse(sk_c4) != sk_c8 )
| ( multiply(sk_c8,iPr_def_20) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_420,c_426]) ).
tcf(c_2295,plain,
( ~ iPr_def_13
| ( sk_c8 != iPr_def_19 )
| ( multiply(sk_c8,iPr_def_20) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_2271,c_419]) ).
tcf(c_2636,plain,
! [X0: $i] : multiply(sk_c6,multiply(sk_c8,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_414,c_85]) ).
tcf(c_2637,plain,
! [X0: $i] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_415,c_85]) ).
tcf(c_2639,plain,
! [X0: $i] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(iPr_def_18,X0),
inference(superposition,[status(thm)],[c_418,c_85]) ).
tcf(c_2642,plain,
! [X0: $i] : multiply(sk_c3,multiply(sk_c6,X0)) = multiply(iPr_def_21,X0),
inference(superposition,[status(thm)],[c_421,c_85]) ).
tcf(c_2644,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_84,c_85]) ).
tcf(c_2646,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1008,c_85]) ).
tcf(c_2647,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1009,c_85]) ).
tcf(c_2648,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1010,c_85]) ).
tcf(c_2649,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1011,c_85]) ).
tcf(c_2655,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2649,c_83]) ).
tcf(c_2656,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2648,c_83]) ).
tcf(c_2657,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2647,c_83]) ).
tcf(c_2658,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2646,c_83]) ).
tcf(c_2810,plain,
multiply(iPr_def_17,iPr_def_21) = sk_c6,
inference(superposition,[status(thm)],[c_421,c_2655]) ).
tcf(c_2845,plain,
multiply(iPr_def_22,iPr_def_23) = sk_c8,
inference(superposition,[status(thm)],[c_423,c_2656]) ).
tcf(c_3390,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_21,iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_452,c_754]) ).
tcf(c_3481,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(iPr_def_23,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_2845,c_85]) ).
tcf(c_3487,plain,
multiply(iPr_def_16,iPr_def_18) = sk_c8,
inference(superposition,[status(thm)],[c_418,c_2657]) ).
tcf(c_3497,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(iPr_def_18,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_3487,c_85]) ).
tcf(c_3499,plain,
multiply(iPr_def_19,iPr_def_20) = sk_c8,
inference(superposition,[status(thm)],[c_420,c_2658]) ).
tcf(c_3502,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(iPr_def_20,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_3499,c_85]) ).
tcf(c_4154,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_763,c_2657]) ).
tcf(c_4155,plain,
( ( sk_c8 = iPr_def_21 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_4154,c_3487]) ).
tcf(c_4166,plain,
( ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_764,c_2657]) ).
tcf(c_4167,plain,
( ( sk_c8 = iPr_def_21 )
| ( sk_c8 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_4166,c_3487]) ).
tcf(c_5314,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_447,c_984]) ).
tcf(c_5318,plain,
( ( sk_c8 = iPr_def_24 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_5314,c_2845]) ).
tcf(c_5362,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_5318,c_735]) ).
tcf(c_9681,plain,
multiply(sk_c6,iPr_def_15) = multiply(iPr_def_14,sk_c7),
inference(superposition,[status(thm)],[c_415,c_2636]) ).
tcf(c_9682,plain,
multiply(sk_c6,iPr_def_24) = multiply(iPr_def_14,sk_c2),
inference(superposition,[status(thm)],[c_424,c_2636]) ).
tcf(c_10570,plain,
multiply(sk_c5,iPr_def_15) = multiply(iPr_def_18,sk_c7),
inference(superposition,[status(thm)],[c_415,c_2639]) ).
tcf(c_11272,plain,
multiply(sk_c3,iPr_def_14) = multiply(iPr_def_21,sk_c8),
inference(superposition,[status(thm)],[c_414,c_2642]) ).
tcf(c_11284,plain,
multiply(sk_c3,multiply(iPr_def_14,sk_c2)) = multiply(iPr_def_21,iPr_def_24),
inference(superposition,[status(thm)],[c_9682,c_2642]) ).
tcf(c_11285,plain,
multiply(sk_c3,multiply(iPr_def_14,sk_c7)) = multiply(iPr_def_21,iPr_def_15),
inference(superposition,[status(thm)],[c_9681,c_2642]) ).
tcf(c_11673,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2644,c_83]) ).
tcf(c_11678,plain,
multiply(inverse(sk_c6),iPr_def_14) = sk_c8,
inference(superposition,[status(thm)],[c_414,c_11673]) ).
tcf(c_11679,plain,
multiply(inverse(sk_c8),iPr_def_15) = sk_c7,
inference(superposition,[status(thm)],[c_415,c_11673]) ).
tcf(c_11685,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_83,c_11673]) ).
tcf(c_11686,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_84,c_11673]) ).
tcf(c_11702,plain,
( ( sk_c8 = iPr_def_22 )
| ( multiply(inverse(sk_c8),iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_888,c_11673]) ).
tcf(c_11727,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(inverse(sk_c3),iPr_def_21) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_935,c_11673]) ).
tcf(c_11731,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(inverse(sk_c3),iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_936,c_11673]) ).
tcf(c_11749,plain,
( ( sk_c7 = iPr_def_20 )
| ( multiply(inverse(sk_c8),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1048,c_11673]) ).
tcf(c_11758,plain,
( ( sk_c7 = iPr_def_20 )
| ( multiply(inverse(sk_c8),iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1151,c_11673]) ).
tcf(c_11798,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2658,c_11673]) ).
tcf(c_11799,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2657,c_11673]) ).
tcf(c_11800,plain,
! [X0: $i] : multiply(inverse(iPr_def_22),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2656,c_11673]) ).
tcf(c_11801,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_2655,c_11673]) ).
tcf(c_11828,plain,
multiply(inverse(sk_c6),multiply(iPr_def_14,sk_c2)) = iPr_def_24,
inference(superposition,[status(thm)],[c_9682,c_11673]) ).
tcf(c_11829,plain,
multiply(inverse(sk_c6),multiply(iPr_def_14,sk_c7)) = iPr_def_15,
inference(superposition,[status(thm)],[c_9681,c_11673]) ).
tcf(c_11833,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_11673,c_11673]) ).
tcf(c_12538,plain,
( ~ iPr_def_13
| ( inverse(inverse(identity)) != sk_c8 )
| ( multiply(sk_c8,sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_11685,c_426]) ).
tcf(c_12539,plain,
( ~ iPr_def_11
| ( sk_c6 != sk_c8 )
| ( inverse(inverse(identity)) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_11685,c_428]) ).
tcf(c_12627,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_11686,c_11833]) ).
tcf(c_12638,plain,
multiply(sk_c6,sk_c8) = multiply(iPr_def_14,identity),
inference(superposition,[status(thm)],[c_12627,c_2636]) ).
tcf(c_12643,plain,
multiply(sk_c8,sk_c7) = multiply(iPr_def_15,identity),
inference(superposition,[status(thm)],[c_12627,c_2637]) ).
tcf(c_12645,plain,
multiply(sk_c8,identity) = multiply(iPr_def_22,iPr_def_23),
inference(superposition,[status(thm)],[c_12627,c_3481]) ).
tcf(c_12652,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_12627,c_11685]) ).
tcf(c_12655,plain,
multiply(sk_c8,identity) = sk_c8,
inference(light_normalisation,[status(thm)],[c_12645,c_2845]) ).
tcf(c_12657,plain,
multiply(iPr_def_15,identity) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_12643,c_415]) ).
tcf(c_12658,plain,
multiply(iPr_def_14,identity) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_12638,c_414]) ).
tcf(c_12669,plain,
multiply(sk_c8,identity) = multiply(iPr_def_16,iPr_def_18),
inference(superposition,[status(thm)],[c_12627,c_3497]) ).
tcf(c_12701,plain,
multiply(sk_c8,identity) = multiply(iPr_def_19,iPr_def_20),
inference(superposition,[status(thm)],[c_12627,c_3502]) ).
tcf(c_12815,plain,
multiply(identity,identity) = identity,
inference(superposition,[status(thm)],[c_12652,c_84]) ).
tcf(c_13311,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_19)) != sk_c8 )
| ( multiply(sk_c4,sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_11798,c_427]) ).
tcf(c_13312,plain,
multiply(sk_c4,iPr_def_19) = identity,
inference(superposition,[status(thm)],[c_11798,c_84]) ).
tcf(c_13316,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_19,X0)) = X0,
inference(superposition,[status(thm)],[c_11798,c_11673]) ).
tcf(c_13317,plain,
multiply(sk_c4,identity) = inverse(iPr_def_19),
inference(superposition,[status(thm)],[c_11798,c_12627]) ).
tcf(c_13324,plain,
( ~ iPr_def_12
| ( sk_c7 != iPr_def_20 )
| ( inverse(inverse(iPr_def_19)) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_13311,c_420]) ).
tcf(c_13367,plain,
inverse(iPr_def_19) = sk_c4,
inference(demodulation,[status(thm)],[c_13317,c_12627]) ).
tcf(c_13685,plain,
multiply(sk_c4,sk_c8) = iPr_def_20,
inference(superposition,[status(thm)],[c_3499,c_13316]) ).
tcf(c_13804,plain,
multiply(sk_c5,iPr_def_16) = identity,
inference(superposition,[status(thm)],[c_11799,c_84]) ).
tcf(c_13807,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_16)) != sk_c6 )
| ( multiply(sk_c5,sk_c6) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_11799,c_429]) ).
tcf(c_13808,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_16,X0)) = X0,
inference(superposition,[status(thm)],[c_11799,c_11673]) ).
tcf(c_13809,plain,
multiply(sk_c5,identity) = inverse(iPr_def_16),
inference(superposition,[status(thm)],[c_11799,c_12627]) ).
tcf(c_14239,plain,
inverse(iPr_def_16) = sk_c5,
inference(demodulation,[status(thm)],[c_13809,c_12627]) ).
tcf(c_14249,plain,
multiply(sk_c5,sk_c8) = iPr_def_18,
inference(superposition,[status(thm)],[c_3487,c_13808]) ).
tcf(c_15065,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_22,X0)) = X0,
inference(superposition,[status(thm)],[c_11800,c_11673]) ).
tcf(c_15066,plain,
multiply(sk_c1,identity) = inverse(iPr_def_22),
inference(superposition,[status(thm)],[c_11800,c_12627]) ).
tcf(c_16055,plain,
multiply(sk_c1,sk_c8) = iPr_def_23,
inference(superposition,[status(thm)],[c_2845,c_15065]) ).
tcf(c_17257,plain,
multiply(sk_c3,iPr_def_17) = identity,
inference(superposition,[status(thm)],[c_11801,c_84]) ).
tcf(c_17260,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_17)) != sk_c6 )
| ( multiply(sk_c3,sk_c6) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_11801,c_429]) ).
tcf(c_17261,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_17,X0)) = X0,
inference(superposition,[status(thm)],[c_11801,c_11673]) ).
tcf(c_17262,plain,
multiply(sk_c3,identity) = inverse(iPr_def_17),
inference(superposition,[status(thm)],[c_11801,c_12627]) ).
tcf(c_17263,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_21 )
| ( inverse(inverse(iPr_def_17)) != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_17260,c_421]) ).
tcf(c_17290,plain,
multiply(iPr_def_17,identity) = iPr_def_17,
inference(superposition,[status(thm)],[c_17257,c_2655]) ).
tcf(c_17304,plain,
inverse(iPr_def_17) = sk_c3,
inference(demodulation,[status(thm)],[c_17262,c_12627]) ).
tcf(c_17324,plain,
multiply(sk_c3,sk_c6) = iPr_def_21,
inference(superposition,[status(thm)],[c_2810,c_17261]) ).
tcf(c_30886,plain,
( ~ iPr_def_10
| ( sk_c6 != iPr_def_16 )
| ( multiply(sk_c5,sk_c6) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_13807,c_416,c_14239]) ).
tcf(c_30914,plain,
( ( sk_c8 = iPr_def_21 )
| ~ iPr_def_10
| ( sk_c6 != iPr_def_16 )
| ( multiply(sk_c5,iPr_def_15) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_439,c_30886]) ).
tcf(c_30918,plain,
( ( sk_c6 = iPr_def_17 )
| ~ iPr_def_10
| ( sk_c6 != iPr_def_16 )
| ( multiply(sk_c5,iPr_def_18) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_431,c_30886]) ).
tcf(c_30940,plain,
( ( sk_c8 = iPr_def_21 )
| ~ iPr_def_10
| ( sk_c6 != iPr_def_16 )
| ( multiply(iPr_def_18,sk_c7) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_30914,c_10570]) ).
tcf(c_31998,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_5362,c_17261]) ).
tcf(c_32002,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_21,sk_c8) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_31998,c_11272]) ).
tcf(c_33544,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_32002,c_30940,c_30918,c_17324,c_17304,c_17290,c_17263,c_17257,c_16055,c_15066,c_14249,c_13804,c_13685,c_13367,c_13324,c_13312,c_12701,c_12669,c_12658,c_12657,c_12655,c_12643,c_12638,c_12652,c_12539,c_12538,c_11829,c_11828,c_11758,c_11749,c_11731,c_11727,c_11702,c_11679,c_11678,c_11285,c_11284,c_11272,c_10570,c_4167,c_4155,c_3390,c_2295,c_2168,c_2064,c_1939,c_12815,c_779,c_459,c_434,c_433,c_432,c_431,c_430,c_425,c_419,c_417]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP365-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.38 % Computer : n015.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Wed Sep 23 14:38:28 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.43 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
% 0.13/0.44
% 0.13/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.44
% 0.13/0.44 % Detected problem language: tptp
% 0.13/0.45 % Proving...
% 13.33/3.30 % SZS status Started for theBenchmark.p
% 13.33/3.30 % SZS status Unsatisfiable for theBenchmark.p
% 13.33/3.30
% 13.33/3.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 13.33/3.30
% 13.33/3.30 % ------ iProver source info
% 13.33/3.30
% 13.33/3.30 % git: date: 2026-07-19 20:42:38 +0200
% 13.33/3.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 13.33/3.30 % git: non_committed_changes: false
% 13.33/3.30
% 13.33/3.30 % ------ Parsing...% successful
% 13.33/3.30
% 13.33/3.30
% 13.33/3.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 13.33/3.30
% 13.33/3.30 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 13.33/3.30
% 13.33/3.30 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 13.33/3.30
% 13.33/3.30 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 13.33/3.30 % ------ Proving...
% 13.33/3.30 % ------ Problem Properties
% 13.33/3.30
% 13.33/3.30 %
% 13.33/3.30 % clauses 49
% 13.33/3.30 % conjectures 35
% 13.33/3.30 % EPR 31
% 13.33/3.30 % Horn 18
% 13.33/3.30 % unary 14
% 13.33/3.30 % binary 30
% 13.33/3.30 % lits 92
% 13.33/3.30 % lits eq 84
% 13.33/3.30 % fd_pure 0
% 13.33/3.30 % fd_pseudo 0
% 13.33/3.30 % fd_cond 0
% 13.33/3.30 % fd_pseudo_cond 0
% 13.33/3.30 % AC symbols 0
% 13.33/3.30
% 13.33/3.30 % ------ Schedule dynamic 5 is on
% 13.33/3.30
% 13.33/3.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 13.33/3.30
% 13.33/3.30
% 13.33/3.30 % ------
% 13.33/3.30 % Current options:
% 13.33/3.30 % ------
% 13.33/3.30
% 13.33/3.30
% 13.33/3.30 %
% 13.33/3.30
% 13.33/3.30 % ------ Proving...
% 13.33/3.30 %
% 13.33/3.30
% 13.33/3.30 % SZS status Unsatisfiable for theBenchmark.p
% 13.33/3.30
% 13.33/3.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 13.33/3.30
% 13.33/3.30
%------------------------------------------------------------------------------