%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP261-1 : 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 : n001.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 01:32:38 PM UTC 2026
% Result : Unsatisfiable 10.51s 7.37s
% Output : CNFRefutation 10.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 38
% Syntax : Number of formulae : 222 ( 81 unt; 11 def)
% Number of atoms : 618 ( 385 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 328 ( 126 ~; 202 |; 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 : 16 ( 14 usr; 15 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 77 ( 0 sgn 77 !; 0 ?; 61 :)
% 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_c3,sk_c8) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c8 = inverse(sk_c3)
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f7]) ).
fof(f12,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( sk_c6 = inverse(sk_c5)
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f18]) ).
fof(f24,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c6 = inverse(sk_c5)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c6 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f28]) ).
fof(f32,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| multiply(sk_c2,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| sk_c6 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c7 = inverse(sk_c4)
| sk_c6 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f34]) ).
fof(f44,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c7 = inverse(sk_c4)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c6 = inverse(sk_c5)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f50]) ).
fof(f52,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c8 = inverse(sk_c3)
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f54]) ).
fof(f56,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f57,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f56]) ).
fof(f58,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f59,plain,
( sk_c7 = inverse(sk_c4)
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f58]) ).
fof(f60,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f61,plain,
( sk_c6 = inverse(sk_c5)
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f60]) ).
fof(f62,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f63,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f62]) ).
fof(f64,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( multiply(X4,sk_c8) != sk_c6
| inverse(X4) != sk_c6
| inverse(X3) != sk_c7
| multiply(X3,sk_c7) != sk_c6
| inverse(X2) != sk_c8
| multiply(X2,sk_c8) != sk_c7
| multiply(sk_c6,sk_c8) != sk_c7
| inverse(X1) != sk_c7
| multiply(X1,sk_c7) != sk_c6
| inverse(X0) != sk_c8
| multiply(X0,sk_c8) != sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f65,plain,
! [X2,X3,X0,X1,X4] :
( sk_c6 != multiply(X4,sk_c8)
| sk_c6 != inverse(X4)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7)
| sk_c8 != inverse(X2)
| sk_c7 != multiply(X2,sk_c8)
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c7 != inverse(X1)
| sk_c6 != multiply(X1,sk_c7)
| inverse(X0) != sk_c8
| sk_c7 != multiply(X0,sk_c8) ),
inference(reorient_equations,[],[f64]) ).
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_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_87,negated_conjecture,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_90,negated_conjecture,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_91,negated_conjecture,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_92,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_93,negated_conjecture,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_96,negated_conjecture,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_97,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_98,negated_conjecture,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_100,negated_conjecture,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_101,negated_conjecture,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_106,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_107,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c4) = sk_c7 ) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_108,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_109,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_110,negated_conjecture,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_111,negated_conjecture,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_112,negated_conjecture,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_113,negated_conjecture,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_114,negated_conjecture,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_115,negated_conjecture,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_116,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( inverse(X4) != sk_c6 )
| ( inverse(X3) != sk_c7 )
| ( inverse(X2) != sk_c7 )
| ( inverse(X1) != sk_c8 )
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c6,sk_c8) != sk_c7 )
| ( multiply(X4,sk_c8) != sk_c6 )
| ( multiply(X3,sk_c7) != sk_c6 )
| ( multiply(X2,sk_c7) != sk_c6 )
| ( multiply(X1,sk_c8) != sk_c7 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_413,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_116]) ).
tcf(c_414,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
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_c6 )
| ( multiply(X0,sk_c8) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_116]) ).
tcf(c_416,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( multiply(sk_c6,sk_c8) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_116]) ).
tcf(c_417,definition,
iPr_def_13 = multiply(sk_c6,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_418,definition,
iPr_def_14 = multiply(sk_c5,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_419,definition,
iPr_def_15 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_420,definition,
iPr_def_16 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_421,definition,
iPr_def_17 = multiply(sk_c4,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_422,definition,
iPr_def_18 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_423,definition,
iPr_def_19 = multiply(sk_c3,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_424,definition,
iPr_def_20 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_425,definition,
iPr_def_21 = multiply(sk_c2,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_426,definition,
iPr_def_22 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_427,definition,
iPr_def_23 = multiply(sk_c1,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_428,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_13 != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_416,c_417]) ).
tcf(c_430,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c8) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_415]) ).
tcf(c_431,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_414]) ).
tcf(c_433,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_413]) ).
tcf(c_434,negated_conjecture,
( ( iPr_def_14 = sk_c6 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_115,c_418]) ).
tcf(c_435,negated_conjecture,
( ( iPr_def_15 = sk_c6 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_114,c_419]) ).
tcf(c_436,negated_conjecture,
( ( iPr_def_16 = sk_c7 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_113,c_420]) ).
tcf(c_437,negated_conjecture,
( ( iPr_def_17 = sk_c6 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_112,c_421]) ).
tcf(c_438,negated_conjecture,
( ( iPr_def_18 = sk_c8 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_111,c_422]) ).
tcf(c_439,negated_conjecture,
( ( iPr_def_19 = sk_c7 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_110,c_423]) ).
tcf(c_440,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_109,c_424]) ).
tcf(c_441,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_108]) ).
tcf(c_442,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_448,negated_conjecture,
( ( iPr_def_21 = sk_c6 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_101]) ).
tcf(c_449,negated_conjecture,
( ( iPr_def_21 = sk_c6 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_100]) ).
tcf(c_451,negated_conjecture,
( ( iPr_def_21 = sk_c6 )
| ( iPr_def_19 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_452,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_97,c_426]) ).
tcf(c_453,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_456,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_457,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_19 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_458,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_91,c_427]) ).
tcf(c_459,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_462,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_463,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_19 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_464,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_465,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_784,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(sk_c4,iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_442,c_421]) ).
tcf(c_970,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = sk_c7 )
| ( sk_c7 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_465]) ).
tcf(c_972,plain,
! [X0: $i] : inverse(X0) = inverse(X0),
inference(instantiation,[status(thm)],[c_464]) ).
tcf(c_975,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X0) = X2 )
| ( X2 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_465]) ).
tcf(c_1008,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X0) = X2 )
| ( X2 != inverse(X1) )
| ( inverse(X0) != inverse(X1) ) ),
inference(instantiation,[status(thm)],[c_975]) ).
tcf(c_1014,plain,
multiply(iPr_def_18,sk_c3) = identity,
inference(superposition,[status(thm)],[c_422,c_84]) ).
tcf(c_1015,plain,
multiply(iPr_def_16,sk_c4) = identity,
inference(superposition,[status(thm)],[c_420,c_84]) ).
tcf(c_1016,plain,
multiply(iPr_def_15,sk_c5) = identity,
inference(superposition,[status(thm)],[c_419,c_84]) ).
tcf(c_1017,plain,
multiply(iPr_def_22,sk_c1) = identity,
inference(superposition,[status(thm)],[c_426,c_84]) ).
tcf(c_1018,plain,
multiply(iPr_def_20,sk_c2) = identity,
inference(superposition,[status(thm)],[c_424,c_84]) ).
tcf(c_1028,plain,
! [X0: $i] :
( ( inverse(X0) = iPr_def_16 )
| ( iPr_def_16 != inverse(sk_c4) )
| ( inverse(X0) != inverse(sk_c4) ) ),
inference(instantiation,[status(thm)],[c_1008]) ).
tcf(c_1211,plain,
! [X0: $i] :
( ( inverse(X0) = sk_c7 )
| ( sk_c7 != iPr_def_16 )
| ( inverse(X0) != iPr_def_16 ) ),
inference(instantiation,[status(thm)],[c_970]) ).
tcf(c_1380,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_456,c_427]) ).
tcf(c_1417,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_457,c_427]) ).
tcf(c_1793,plain,
( ( sk_c7 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_462,c_427]) ).
tcf(c_1833,plain,
( ( inverse(sk_c4) = iPr_def_16 )
| ( iPr_def_16 != inverse(sk_c4) )
| ( inverse(sk_c4) != inverse(sk_c4) ) ),
inference(instantiation,[status(thm)],[c_1028]) ).
tcf(c_1834,plain,
inverse(sk_c4) = inverse(sk_c4),
inference(instantiation,[status(thm)],[c_972]) ).
tcf(c_1845,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_463,c_425]) ).
tcf(c_1963,plain,
( ~ iPr_def_12
| ( sk_c6 != iPr_def_14 )
| ( inverse(sk_c5) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_418,c_430]) ).
tcf(c_1979,plain,
( ~ iPr_def_12
| ( sk_c6 != iPr_def_15 )
| ( sk_c6 != iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_1963,c_419]) ).
tcf(c_2072,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_23 )
| ( inverse(sk_c1) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_427,c_431]) ).
tcf(c_2073,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_19 )
| ( inverse(sk_c3) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_423,c_431]) ).
tcf(c_2094,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_19 )
| ( sk_c8 != iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_2073,c_422]) ).
tcf(c_2098,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_23 )
| ( sk_c8 != iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_2072,c_426]) ).
tcf(c_2188,plain,
( ~ iPr_def_10
| ( sk_c6 != iPr_def_17 )
| ( inverse(sk_c4) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_421,c_433]) ).
tcf(c_2189,plain,
( ~ iPr_def_10
| ( sk_c6 != iPr_def_21 )
| ( inverse(sk_c2) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_425,c_433]) ).
tcf(c_2202,plain,
( ~ iPr_def_10
| ( sk_c6 != iPr_def_21 )
| ( sk_c7 != iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_2189,c_424]) ).
tcf(c_2206,plain,
( ~ iPr_def_10
| ( sk_c6 != iPr_def_17 )
| ( sk_c7 != iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_2188,c_420]) ).
tcf(c_2357,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( sk_c7 != iPr_def_16 )
| ( inverse(sk_c4) != iPr_def_16 ) ),
inference(instantiation,[status(thm)],[c_1211]) ).
tcf(c_2595,plain,
! [X0: $i] : multiply(sk_c4,multiply(sk_c7,X0)) = multiply(iPr_def_17,X0),
inference(superposition,[status(thm)],[c_421,c_85]) ).
tcf(c_2598,plain,
! [X0: $i] : multiply(sk_c6,multiply(sk_c8,X0)) = multiply(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_417,c_85]) ).
tcf(c_2600,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_84,c_85]) ).
tcf(c_2602,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1014,c_85]) ).
tcf(c_2603,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1015,c_85]) ).
tcf(c_2604,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1016,c_85]) ).
tcf(c_2605,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1017,c_85]) ).
tcf(c_2606,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1018,c_85]) ).
tcf(c_2611,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2606,c_83]) ).
tcf(c_2612,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2605,c_83]) ).
tcf(c_2613,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2604,c_83]) ).
tcf(c_2614,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2603,c_83]) ).
tcf(c_2615,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2602,c_83]) ).
tcf(c_3618,plain,
multiply(iPr_def_20,iPr_def_21) = sk_c7,
inference(superposition,[status(thm)],[c_425,c_2611]) ).
tcf(c_3627,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(iPr_def_21,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_3618,c_85]) ).
tcf(c_3629,plain,
multiply(iPr_def_22,iPr_def_23) = sk_c8,
inference(superposition,[status(thm)],[c_427,c_2612]) ).
tcf(c_3643,plain,
multiply(iPr_def_15,iPr_def_14) = sk_c8,
inference(superposition,[status(thm)],[c_418,c_2613]) ).
tcf(c_3646,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(iPr_def_14,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_3643,c_85]) ).
tcf(c_3657,plain,
multiply(iPr_def_16,iPr_def_17) = sk_c7,
inference(superposition,[status(thm)],[c_421,c_2614]) ).
tcf(c_3957,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(iPr_def_16,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_784,c_2614]) ).
tcf(c_3958,plain,
( ( sk_c7 = iPr_def_20 )
| ( sk_c7 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_3957,c_3657]) ).
tcf(c_4001,plain,
multiply(iPr_def_18,iPr_def_19) = sk_c8,
inference(superposition,[status(thm)],[c_423,c_2615]) ).
tcf(c_4261,plain,
( ~ iPr_def_10
| ( inverse(sk_c4) != sk_c7 )
| ( multiply(sk_c4,sk_c7) != sk_c6 ) ),
inference(instantiation,[status(thm)],[c_433]) ).
tcf(c_4315,plain,
( ~ iPr_def_10
| ( inverse(sk_c2) != sk_c7 )
| ( multiply(sk_c2,sk_c7) != sk_c6 ) ),
inference(instantiation,[status(thm)],[c_433]) ).
tcf(c_5009,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1380,c_2612]) ).
tcf(c_5010,plain,
( ( sk_c8 = iPr_def_22 )
| ( sk_c8 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_5009,c_3629]) ).
tcf(c_5229,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1417,c_2612]) ).
tcf(c_5230,plain,
( ( sk_c7 = iPr_def_19 )
| ( sk_c8 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_5229,c_3629]) ).
tcf(c_5422,plain,
( ( sk_c7 = iPr_def_23 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1793,c_2612]) ).
tcf(c_5423,plain,
( ( sk_c7 = iPr_def_23 )
| ( sk_c8 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_5422,c_3629]) ).
tcf(c_5645,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_21) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1845,c_2611]) ).
tcf(c_5646,plain,
( ( sk_c7 = iPr_def_23 )
| ( sk_c7 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_5645,c_3618]) ).
tcf(c_8497,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2600,c_83]) ).
tcf(c_8510,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_84,c_8497]) ).
tcf(c_8614,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_2615,c_8497]) ).
tcf(c_8615,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2614,c_8497]) ).
tcf(c_8617,plain,
! [X0: $i] : multiply(inverse(iPr_def_22),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2612,c_8497]) ).
tcf(c_8618,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2611,c_8497]) ).
tcf(c_8644,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_8497,c_8497]) ).
tcf(c_9100,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_8510,c_8644]) ).
tcf(c_9109,plain,
multiply(sk_c6,sk_c8) = multiply(iPr_def_13,identity),
inference(superposition,[status(thm)],[c_9100,c_2598]) ).
tcf(c_9116,plain,
multiply(sk_c4,sk_c7) = multiply(iPr_def_17,identity),
inference(superposition,[status(thm)],[c_9100,c_2595]) ).
tcf(c_9117,plain,
multiply(sk_c8,identity) = multiply(iPr_def_15,iPr_def_14),
inference(superposition,[status(thm)],[c_9100,c_3646]) ).
tcf(c_9118,plain,
multiply(sk_c7,identity) = multiply(iPr_def_20,iPr_def_21),
inference(superposition,[status(thm)],[c_9100,c_3627]) ).
tcf(c_9125,plain,
multiply(sk_c7,identity) = sk_c7,
inference(light_normalisation,[status(thm)],[c_9118,c_3618]) ).
tcf(c_9126,plain,
multiply(sk_c8,identity) = sk_c8,
inference(light_normalisation,[status(thm)],[c_9117,c_3643]) ).
tcf(c_9127,plain,
multiply(iPr_def_17,identity) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_9116,c_421]) ).
tcf(c_9134,plain,
multiply(iPr_def_13,identity) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_9109,c_417]) ).
tcf(c_9929,plain,
multiply(sk_c3,iPr_def_18) = identity,
inference(superposition,[status(thm)],[c_8614,c_84]) ).
tcf(c_9933,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_18,X0)) = X0,
inference(superposition,[status(thm)],[c_8614,c_8497]) ).
tcf(c_10505,plain,
multiply(sk_c3,sk_c8) = iPr_def_19,
inference(superposition,[status(thm)],[c_4001,c_9933]) ).
tcf(c_10708,plain,
multiply(sk_c4,iPr_def_16) = identity,
inference(superposition,[status(thm)],[c_8615,c_84]) ).
tcf(c_10712,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_16,X0)) = X0,
inference(superposition,[status(thm)],[c_8615,c_8497]) ).
tcf(c_10990,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm)],[c_1015,c_10712]) ).
tcf(c_10991,plain,
multiply(sk_c4,sk_c7) = iPr_def_17,
inference(superposition,[status(thm)],[c_3657,c_10712]) ).
tcf(c_11995,plain,
( ( sk_c7 = iPr_def_23 )
| ~ iPr_def_12
| ( sk_c6 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_458,c_1979]) ).
tcf(c_11998,plain,
( ( sk_c8 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c6 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_452,c_1979]) ).
tcf(c_12007,plain,
( ( sk_c7 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c6 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_440,c_1979]) ).
tcf(c_12118,plain,
( ( sk_c7 = iPr_def_23 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_459,c_11995]) ).
tcf(c_12315,plain,
( ( sk_c8 = iPr_def_22 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_453,c_11998]) ).
tcf(c_12408,plain,
( ( sk_c7 = iPr_def_20 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_441,c_12007]) ).
tcf(c_13012,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_19 ) ),
inference(global_subsumption_just,[status(thm)],[c_2094,c_2098,c_2094,c_5010,c_5423]) ).
tcf(c_13014,plain,
~ iPr_def_11,
inference(global_subsumption_just,[status(thm)],[c_13012,c_2098,c_5230,c_5646,c_13012]) ).
tcf(c_13134,plain,
( ~ iPr_def_10
| ( sk_c6 != iPr_def_21 ) ),
inference(global_subsumption_just,[status(thm)],[c_2202,c_106,c_100,c_420,c_1833,c_1834,c_2202,c_2357,c_3958,c_4261,c_4315]) ).
tcf(c_13182,plain,
( ( sk_c7 = iPr_def_19 )
| ~ iPr_def_10 ),
inference(superposition,[status(thm)],[c_451,c_13134]) ).
tcf(c_13184,plain,
( ( sk_c6 = iPr_def_17 )
| ~ iPr_def_10 ),
inference(superposition,[status(thm)],[c_449,c_13134]) ).
tcf(c_13185,plain,
( ( sk_c7 = iPr_def_16 )
| ~ iPr_def_10 ),
inference(superposition,[status(thm)],[c_448,c_13134]) ).
tcf(c_13354,plain,
~ iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_13182,c_2206,c_13185,c_13184]) ).
tcf(c_14743,plain,
multiply(sk_c1,iPr_def_22) = identity,
inference(superposition,[status(thm)],[c_8617,c_84]) ).
tcf(c_14746,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_22,X0)) = X0,
inference(superposition,[status(thm)],[c_8617,c_8497]) ).
tcf(c_15108,plain,
multiply(sk_c1,sk_c8) = iPr_def_23,
inference(superposition,[status(thm)],[c_3629,c_14746]) ).
tcf(c_15948,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_20)) != sk_c6 )
| ( multiply(sk_c2,sk_c8) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_8618,c_430]) ).
tcf(c_15949,plain,
multiply(sk_c2,iPr_def_20) = identity,
inference(superposition,[status(thm)],[c_8618,c_84]) ).
tcf(c_15952,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_20,X0)) = X0,
inference(superposition,[status(thm)],[c_8618,c_8497]) ).
tcf(c_15953,plain,
multiply(sk_c2,identity) = inverse(iPr_def_20),
inference(superposition,[status(thm)],[c_8618,c_9100]) ).
tcf(c_16077,plain,
inverse(iPr_def_20) = sk_c2,
inference(demodulation,[status(thm)],[c_15953,c_9100]) ).
tcf(c_16554,plain,
multiply(sk_c2,identity) = sk_c2,
inference(superposition,[status(thm)],[c_1018,c_15952]) ).
tcf(c_16555,plain,
multiply(sk_c2,sk_c7) = iPr_def_21,
inference(superposition,[status(thm)],[c_3618,c_15952]) ).
tcf(c_22482,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_16555,c_16554,c_16077,c_15948,c_15949,c_15108,c_14743,c_13354,c_13014,c_12408,c_12315,c_12118,c_10991,c_10990,c_10708,c_10505,c_9929,c_9134,c_9127,c_9126,c_9125,c_9117,c_9109,c_449,c_448,c_439,c_438,c_437,c_436,c_435,c_434,c_428,c_424]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP261-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/5.46 % Computer : n001.cluster.edu
% 0.12/5.46 % Model : x86_64 x86_64
% 0.12/5.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.46 % Memory : 8046.5625MB
% 0.12/5.46 % OS : Linux 6.8.0-71-generic
% 0.12/5.46 % CPULimit : 300
% 0.12/5.46 % WCLimit : 300
% 0.12/5.46 % DateTime : Wed Sep 23 14:23:40 UTC 2026
% 0.12/5.46 % CPUTime :
% 0.12/5.46 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/5.49 Running first-order theorem proving
% 0.12/5.49 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
% 0.15/5.50
% 0.15/5.50 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.50
% 0.15/5.51 % Detected problem language: tptp
% 0.15/5.52 % Proving...
% 10.51/7.37 % SZS status Started for theBenchmark.p
% 10.51/7.37 % SZS status Unsatisfiable for theBenchmark.p
% 10.51/7.37
% 10.51/7.37 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.51/7.37
% 10.51/7.37 % ------ iProver source info
% 10.51/7.37
% 10.51/7.37 % git: date: 2026-07-19 20:42:38 +0200
% 10.51/7.37 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.51/7.37 % git: non_committed_changes: false
% 10.51/7.37
% 10.51/7.37 % ------ Parsing...% successful
% 10.51/7.37
% 10.51/7.37
% 10.51/7.37 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.51/7.37
% 10.51/7.37 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 10.51/7.37
% 10.51/7.37 % ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.51/7.37
% 10.51/7.37 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 10.51/7.37 % ------ Proving...
% 10.51/7.37 % ------ Problem Properties
% 10.51/7.37
% 10.51/7.37 %
% 10.51/7.37 % clauses 48
% 10.51/7.37 % conjectures 34
% 10.51/7.37 % EPR 31
% 10.51/7.37 % Horn 17
% 10.51/7.37 % unary 14
% 10.51/7.37 % binary 30
% 10.51/7.37 % lits 87
% 10.51/7.37 % lits eq 81
% 10.51/7.37 % fd_pure 0
% 10.51/7.37 % fd_pseudo 0
% 10.51/7.37 % fd_cond 0
% 10.51/7.37 % fd_pseudo_cond 0
% 10.51/7.37 % AC symbols 0
% 10.51/7.37
% 10.51/7.37 % ------ Schedule dynamic 5 is on
% 10.51/7.37
% 10.51/7.37 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.51/7.37
% 10.51/7.37
% 10.51/7.37 % ------
% 10.51/7.37 % Current options:
% 10.51/7.37 % ------
% 10.51/7.37
% 10.51/7.37
% 10.51/7.37 %
% 10.51/7.37
% 10.51/7.37 % ------ Proving...
% 10.51/7.37 %
% 10.51/7.37
% 10.51/7.37 % SZS status Unsatisfiable for theBenchmark.p
% 10.51/7.37
% 10.51/7.37 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.51/7.37
% 10.51/7.37
%------------------------------------------------------------------------------