%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV601-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 : Tue Sep 29 01:19:04 PM UTC 2026
% Result : Unsatisfiable 10.60s 2.59s
% Output : Refutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 25
% Syntax : Number of formulae : 86 ( 80 unt; 12 def)
% Number of atoms : 92 ( 91 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 10 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 18 con; 0-3 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f332,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__two__squares__add__zero__iff_2) ).
fof(f333,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(reorient_equations,[],[f332]) ).
fof(f627,axiom,
! [X0] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X0),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X0),c_Transcendental_Osin(X0),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__cos__squared__add3_0) ).
fof(f628,plain,
! [X0] : c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X0),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X0),c_Transcendental_Osin(X0),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(reorient_equations,[],[f627]) ).
fof(f630,axiom,
! [X0,X1] : c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X0),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X1),c_Transcendental_Osin(X0),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cos__diff2_0) ).
fof(f631,axiom,
! [X0,X1] : c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X0),c_Transcendental_Osin(X1),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cos__diff_0) ).
fof(f761,axiom,
! [X2,X0,X1] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__add__mult__distrib_0) ).
fof(f811,axiom,
c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cos__pi__half_0) ).
fof(f812,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(reorient_equations,[],[f811]) ).
fof(f839,axiom,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complex__zero__def_0) ).
fof(f840,plain,
c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(reorient_equations,[],[f839]) ).
fof(f913,axiom,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__zero__not__eq__one_0) ).
fof(f929,axiom,
! [X0] : c_Transcendental_Osin(X0) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__cos__eq_0) ).
fof(f1023,axiom,
! [X2,X3,X0,X1] :
( c_Complex_Ocomplex_OComplex(X0,X1) != c_Complex_Ocomplex_OComplex(X2,X3)
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complex_Oinject_0) ).
fof(f1024,axiom,
! [X2,X3,X0,X1] :
( c_Complex_Ocomplex_OComplex(X0,X1) != c_Complex_Ocomplex_OComplex(X2,X3)
| X1 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complex_Oinject_1) ).
fof(f1068,axiom,
! [X0,X1] : c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__commute_0) ).
fof(f1087,negated_conjecture,
c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)),c_Transcendental_Osin(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal))) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1088,plain,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)),c_Transcendental_Osin(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal))),
inference(reorient_equations,[],[f1087]) ).
fof(f1267,plain,
! [X0] : c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X0),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)),c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(definition_unfolding,[],[f628,f929,f929]) ).
fof(f1269,plain,
! [X0,X1] : c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X0),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(definition_unfolding,[],[f630,f929,f929]) ).
fof(f1270,plain,
! [X0,X1] : c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)),c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(definition_unfolding,[],[f631,f929,f929]) ).
fof(f1299,plain,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)),c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal))),
inference(definition_unfolding,[],[f1088,f929]) ).
fof(f1300,definition,
sF0 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f1301,plain,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF0,
inference(reorient_equations,[],[f1300]) ).
fof(f1302,definition,
sF1 = c_Int_OBit1(c_Int_OPls),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f1303,plain,
c_Int_OBit1(c_Int_OPls) = sF1,
inference(reorient_equations,[],[f1302]) ).
fof(f1304,definition,
sF2 = c_Int_OBit0(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f1305,plain,
c_Int_OBit0(sF1) = sF2,
inference(reorient_equations,[],[f1304]) ).
fof(f1306,definition,
sF3 = c_Int_Onumber__class_Onumber__of(sF2,tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f1307,plain,
c_Int_Onumber__class_Onumber__of(sF2,tc_RealDef_Oreal) = sF3,
inference(reorient_equations,[],[f1306]) ).
fof(f1308,definition,
sF4 = c_HOL_Otimes__class_Otimes(sF3,c_Transcendental_Opi,tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f1309,plain,
c_HOL_Otimes__class_Otimes(sF3,c_Transcendental_Opi,tc_RealDef_Oreal) = sF4,
inference(reorient_equations,[],[f1308]) ).
fof(f1310,definition,
sF5 = c_RealDef_Oreal(v_n,tc_nat),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f1311,plain,
c_RealDef_Oreal(v_n,tc_nat) = sF5,
inference(reorient_equations,[],[f1310]) ).
fof(f1312,definition,
sF6 = c_HOL_Oinverse__class_Odivide(sF4,sF5,tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f1313,plain,
c_HOL_Oinverse__class_Odivide(sF4,sF5,tc_RealDef_Oreal) = sF6,
inference(reorient_equations,[],[f1312]) ).
fof(f1314,definition,
sF7 = c_Transcendental_Ocos(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f1315,plain,
c_Transcendental_Ocos(sF6) = sF7,
inference(reorient_equations,[],[f1314]) ).
fof(f1316,definition,
sF8 = c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,sF3,tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f1317,plain,
c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,sF3,tc_RealDef_Oreal) = sF8,
inference(reorient_equations,[],[f1316]) ).
fof(f1318,definition,
sF9 = c_HOL_Ominus__class_Ominus(sF8,sF6,tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f1319,plain,
c_HOL_Ominus__class_Ominus(sF8,sF6,tc_RealDef_Oreal) = sF9,
inference(reorient_equations,[],[f1318]) ).
fof(f1320,definition,
sF10 = c_Transcendental_Ocos(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f1321,plain,
c_Transcendental_Ocos(sF9) = sF10,
inference(reorient_equations,[],[f1320]) ).
fof(f1322,definition,
sF11 = c_Complex_Ocomplex_OComplex(sF7,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f1323,plain,
c_Complex_Ocomplex_OComplex(sF7,sF10) = sF11,
inference(reorient_equations,[],[f1322]) ).
fof(f1324,plain,
sF0 = sF11,
inference(definition_folding,[],[f1299,f1323,f1321,f1319,f1313,f1311,f1309,f1307,f1305,f1303,f1317,f1307,f1305,f1303,f1315,f1313,f1311,f1309,f1307,f1305,f1303,f1301]) ).
fof(f1346,plain,
! [X0] : c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X0,X0,tc_RealDef_Oreal)),
inference(forward_demodulation,[],[f1267,f1270]) ).
fof(f1356,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f333,f761]) ).
fof(f1367,plain,
c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = sF0,
inference(backward_demodulation,[],[f840,f1301]) ).
fof(f1404,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(sF1),tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(backward_demodulation,[],[f812,f1303]) ).
fof(f1437,plain,
! [X0,X1] : c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X0),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(sF1),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(sF1),tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(backward_demodulation,[],[f1269,f1303]) ).
fof(f1453,plain,
sF0 = c_Complex_Ocomplex_OComplex(sF7,sF10),
inference(forward_demodulation,[],[f1323,f1324]) ).
fof(f1481,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1356,f1068]) ).
fof(f1500,plain,
! [X0,X1] : c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X0),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(sF2,tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(sF2,tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1437,f1305]) ).
fof(f1528,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(sF2,tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(forward_demodulation,[],[f1404,f1305]) ).
fof(f1607,plain,
! [X0,X1] : c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X0),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,sF3,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,sF3,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1500,f1307]) ).
fof(f1635,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,sF3,tc_RealDef_Oreal)),
inference(forward_demodulation,[],[f1528,f1307]) ).
fof(f1705,plain,
! [X0,X1] : c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X0),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(sF8,X1,tc_RealDef_Oreal)),c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(sF8,X0,tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1607,f1317]) ).
fof(f1728,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Ocos(sF8),
inference(forward_demodulation,[],[f1635,f1317]) ).
fof(f1844,plain,
c_HOL_Oone__class_Oone(tc_RealDef_Oreal) != c_Transcendental_Ocos(sF8),
inference(backward_demodulation,[],[f913,f1728]) ).
fof(f1850,plain,
sF0 = c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(sF8),c_Transcendental_Ocos(sF8)),
inference(backward_demodulation,[],[f1367,f1728]) ).
fof(f1853,plain,
c_Transcendental_Ocos(sF8) = c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(sF8),c_HOL_Oplus__class_Oplus(c_Transcendental_Ocos(sF8),c_Transcendental_Ocos(sF8),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(backward_demodulation,[],[f1481,f1728]) ).
fof(f2187,plain,
! [X0,X1] :
( c_Complex_Ocomplex_OComplex(X0,X1) != sF0
| sF10 = X1 ),
inference(superposition,[],[f1024,f1453]) ).
fof(f2884,plain,
! [X0] : c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X0,sF6,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(sF6),c_Transcendental_Ocos(X0),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(sF9),c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(sF8,X0,tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(superposition,[],[f1705,f1319]) ).
fof(f2949,plain,
! [X0] : c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X0,sF6,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(sF6),c_Transcendental_Ocos(X0),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(sF10,c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(sF8,X0,tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f2884,f1321]) ).
fof(f3043,plain,
! [X0] : c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X0,sF6,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(sF7,c_Transcendental_Ocos(X0),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(sF10,c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(sF8,X0,tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f2949,f1315]) ).
fof(f3289,plain,
c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(sF6,sF6,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(sF7,c_Transcendental_Ocos(sF6),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(sF10,c_Transcendental_Ocos(sF9),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(superposition,[],[f3043,f1319]) ).
fof(f3315,plain,
c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(sF6,sF6,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(sF7,c_Transcendental_Ocos(sF6),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(sF10,sF10,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f3289,f1321]) ).
fof(f3343,plain,
c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(sF6,sF6,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(sF7,sF7,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(sF10,sF10,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f3315,f1315]) ).
fof(f3364,plain,
c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(sF7,sF7,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(sF10,sF10,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f3343,f1346]) ).
fof(f3902,plain,
! [X0,X1] :
( c_Complex_Ocomplex_OComplex(X0,X1) != sF0
| sF7 = X0 ),
inference(superposition,[],[f1023,f1453]) ).
fof(f5392,plain,
( sF0 != sF0
| sF7 = c_Transcendental_Ocos(sF8) ),
inference(superposition,[],[f3902,f1850]) ).
fof(f5395,plain,
( sF0 != sF0
| sF10 = c_Transcendental_Ocos(sF8) ),
inference(superposition,[],[f2187,f1850]) ).
fof(f5398,plain,
sF10 = c_Transcendental_Ocos(sF8),
inference(trivial_inequality_removal,[],[f5395]) ).
fof(f5399,plain,
sF7 = c_Transcendental_Ocos(sF8),
inference(trivial_inequality_removal,[],[f5392]) ).
fof(f5440,plain,
c_HOL_Oone__class_Oone(tc_RealDef_Oreal) != sF10,
inference(backward_demodulation,[],[f1844,f5398]) ).
fof(f5448,plain,
sF10 = c_HOL_Otimes__class_Otimes(sF10,c_HOL_Oplus__class_Oplus(sF10,sF10,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(backward_demodulation,[],[f1853,f5398]) ).
fof(f5594,plain,
sF7 = sF10,
inference(backward_demodulation,[],[f5398,f5399]) ).
fof(f5716,plain,
c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(sF7,sF7,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(sF7,sF7,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(backward_demodulation,[],[f3364,f5594]) ).
fof(f5846,plain,
c_HOL_Oone__class_Oone(tc_RealDef_Oreal) != sF7,
inference(backward_demodulation,[],[f5440,f5594]) ).
fof(f5853,plain,
sF7 = c_HOL_Otimes__class_Otimes(sF7,c_HOL_Oplus__class_Oplus(sF7,sF7,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(backward_demodulation,[],[f5448,f5594]) ).
fof(f6031,plain,
c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(sF7,sF7,tc_RealDef_Oreal),sF7,tc_RealDef_Oreal),
inference(forward_demodulation,[],[f5716,f761]) ).
fof(f6155,plain,
c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(sF7,c_HOL_Oplus__class_Oplus(sF7,sF7,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f6031,f1068]) ).
fof(f6244,plain,
c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = sF7,
inference(forward_demodulation,[],[f6155,f5853]) ).
fof(f6288,plain,
$false,
inference(forward_subsumption_resolution,[],[f6244,f5846]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV601-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.26 % Computer : n020.cluster.edu
% 0.09/0.26 % Model : x86_64 x86_64
% 0.09/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.26 % Memory : 8046.5625MB
% 0.09/0.26 % OS : Linux 6.8.0-71-generic
% 0.09/0.27 % CPULimit : 300
% 0.09/0.27 % WCLimit : 300
% 0.09/0.27 % DateTime : Mon Sep 28 12:00:49 UTC 2026
% 0.09/0.27 % CPUTime :
% 0.09/0.27 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.32 Running first-order theorem proving
% 0.25/0.32 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.60/2.58 % (119708)Input is clausal, will run a generic CNF schedule.
% 10.60/2.58 % (119715)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=630017257:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.60/2.58 % (119718)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3479766434:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.60/2.58 % (119716)lrs+10_1_sil=8000:sp=occurrence:random_seed=4147842619:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.60/2.58 % (119714)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1547677907:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.60/2.58 % (119713)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=130837150:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.60/2.58 % (119719)dis-21_1_sil=8000:lcm=predicate:random_seed=100137471:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 10.60/2.59 % (119717)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2950457591:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.60/2.59 % (119718)Instruction limit reached!
% 10.60/2.59 % (119718)------------------------------
% 10.60/2.59 % (119718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.60/2.59 % (119718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.60/2.59 % (119718)CaDiCaL version: 2.1.3
% 10.60/2.59 % (119718)Termination reason: Instruction limit
% 10.60/2.59 % (119718)Termination phase: Saturation
% 10.60/2.59 % (119718)Time elapsed: 0.180 s
% 10.60/2.59 % (119718)Peak memory usage: 90 MB
% 10.60/2.59 % (119718)Instructions burned: 180 (million)
% 10.60/2.59 % (119719)Instruction limit reached!
% 10.60/2.59 % (119719)------------------------------
% 10.60/2.59 % (119719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.60/2.59 % (119719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.60/2.59 % (119719)CaDiCaL version: 2.1.3
% 10.60/2.59 % (119719)Termination reason: Instruction limit
% 10.60/2.59 % (119719)Termination phase: Saturation
% 10.60/2.59 % (119719)Time elapsed: 0.101 s
% 10.60/2.59 % (119719)Peak memory usage: 90 MB
% 10.60/2.59 % (119719)Instructions burned: 117 (million)
% 10.60/2.59 % (119716)Instruction limit reached!
% 10.60/2.59 % (119716)------------------------------
% 10.60/2.59 % (119716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.60/2.59 % (119716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.60/2.59 % (119716)CaDiCaL version: 2.1.3
% 10.60/2.59 % (119716)Termination reason: Instruction limit
% 10.60/2.59 % (119716)Termination phase: Saturation
% 10.60/2.59 % (119716)Time elapsed: 0.109 s
% 10.60/2.59 % (119716)Peak memory usage: 90 MB
% 10.60/2.59 % (119716)Instructions burned: 107 (million)
% 10.60/2.59 % (119717)Instruction limit reached!
% 10.60/2.59 % (119717)------------------------------
% 10.60/2.59 % (119717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.60/2.59 % (119717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.60/2.59 % (119717)CaDiCaL version: 2.1.3
% 10.60/2.59 % (119717)Termination reason: Instruction limit
% 10.60/2.59 % (119717)Termination phase: Saturation
% 10.60/2.59 % (119717)Time elapsed: 0.117 s
% 10.60/2.59 % (119717)Peak memory usage: 89 MB
% 10.60/2.59 % (119717)Instructions burned: 114 (million)
% 10.60/2.59 % (119729)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=545019774:i=143:sd=2:aac=none:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/143Mi)
% 10.60/2.59 % (119730)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1214956725:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 10.60/2.59 % (119731)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1876035008:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 10.60/2.59 % (119732)lrs+10_64_to=lpo:sil=8000:random_seed=1654274877:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 10.60/2.59 % (119729)Instruction limit reached!
% 10.60/2.59 % (119729)------------------------------
% 10.60/2.59 % (119729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.60/2.59 % (119729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.60/2.59 % (119729)CaDiCaL version: 2.1.3
% 10.60/2.59 % (119729)Termination reason: Instruction limit
% 10.60/2.59 % (119729)Termination phase: Saturation
% 10.60/2.59 % (119729)Time elapsed: 0.140 s
% 10.60/2.59 % (119729)Peak memory usage: 90 MB
% 10.60/2.59 % (119729)Instructions burned: 144 (million)
% 10.60/2.59 % (119732)Instruction limit reached!
% 10.60/2.59 % (119732)------------------------------
% 10.60/2.59 % (119732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.60/2.59 % (119732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.60/2.59 % (119732)CaDiCaL version: 2.1.3
% 10.60/2.59 % (119732)Termination reason: Instruction limit
% 10.60/2.59 % (119732)Termination phase: Saturation
% 10.60/2.59 % (119732)Time elapsed: 0.122 s
% 10.60/2.59 % (119732)Peak memory usage: 90 MB
% 10.60/2.59 % (119732)Instructions burned: 126 (million)
% 10.60/2.59 % (119730)Instruction limit reached!
% 10.60/2.59 % (119730)------------------------------
% 10.60/2.59 % (119730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.60/2.59 % (119730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.60/2.59 % (119730)CaDiCaL version: 2.1.3
% 10.60/2.59 % (119730)Termination reason: Instruction limit
% 10.60/2.59 % (119730)Termination phase: Saturation
% 10.60/2.59 % (119730)Time elapsed: 0.175 s
% 10.60/2.59 % (119730)Peak memory usage: 91 MB
% 10.60/2.59 % (119730)Instructions burned: 189 (million)
% 10.60/2.59 % (119731)Instruction limit reached!
% 10.60/2.59 % (119731)------------------------------
% 10.60/2.59 % (119731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.60/2.59 % (119731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.60/2.59 % (119731)CaDiCaL version: 2.1.3
% 10.60/2.59 % (119731)Termination reason: Instruction limit
% 10.60/2.59 % (119731)Termination phase: Saturation
% 10.60/2.59 % (119731)Time elapsed: 0.194 s
% 10.60/2.59 % (119731)Peak memory usage: 90 MB
% 10.60/2.59 % (119731)Instructions burned: 219 (million)
% 10.60/2.59 % (119738)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2474642313:avsq=on:i=194:fgj=on:bd=preordered_2991 on theBenchmark for (2991ds/194Mi)
% 10.60/2.59 % (119739)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4077210751:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 10.60/2.59 % (119741)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3447340502:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 10.60/2.59 % (119742)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2733880208:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2991 on theBenchmark for (2991ds/106Mi)
% 10.60/2.59 % (119738)Instruction limit reached!
% 10.60/2.59 % (119738)------------------------------
% 10.60/2.59 % (119738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.60/2.59 % (119738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.60/2.59 % (119738)CaDiCaL version: 2.1.3
% 10.60/2.59 % (119738)Termination reason: Instruction limit
% 10.60/2.59 % (119738)Termination phase: Saturation
% 10.60/2.59 % (119738)Time elapsed: 0.160 s
% 10.60/2.59 % (119738)Peak memory usage: 91 MB
% 10.60/2.59 % (119738)Instructions burned: 195 (million)
% 10.60/2.59 % (119739)Instruction limit reached!
% 10.60/2.59 % (119739)------------------------------
% 10.60/2.59 % (119739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.60/2.59 % (119739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.60/2.59 % (119739)CaDiCaL version: 2.1.3
% 10.60/2.59 % (119739)Termination reason: Instruction limit
% 10.60/2.59 % (119739)Termination phase: Saturation
% 10.60/2.59 % (119739)Time elapsed: 0.157 s
% 10.60/2.59 % (119739)Peak memory usage: 91 MB
% 10.60/2.59 % (119739)Instructions burned: 157 (million)
% 10.60/2.59 % (119742)Instruction limit reached!
% 10.60/2.59 % (119742)------------------------------
% 10.60/2.59 % (119742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.60/2.59 % (119742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.60/2.59 % (119742)CaDiCaL version: 2.1.3
% 10.60/2.59 % (119742)Termination reason: Instruction limit
% 10.60/2.59 % (119742)Termination phase: Saturation
% 10.60/2.59 % (119742)Time elapsed: 0.091 s
% 10.60/2.59 % (119742)Peak memory usage: 89 MB
% 10.60/2.59 % (119742)Instructions burned: 106 (million)
% 10.60/2.59 % (119715)First to succeed.
% 10.60/2.59 % (119715)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-119708"
% 10.60/2.59 % (119747)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2477097698:i=107_2987 on theBenchmark for (2987ds/107Mi)
% 10.60/2.59 % (119748)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3112558134:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2987 on theBenchmark for (2987ds/242Mi)
% 10.60/2.59 % (119749)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2007914716:cond=fast:i=5208:av=off_2987 on theBenchmark for (2987ds/5208Mi)
% 10.60/2.59 % (119747)Instruction limit reached!
% 10.60/2.59 % (119747)------------------------------
% 10.60/2.59 % (119747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.60/2.59 % (119747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.60/2.59 % (119747)CaDiCaL version: 2.1.3
% 10.60/2.59 % (119747)Termination reason: Instruction limit
% 10.60/2.59 % (119747)Termination phase: Saturation
% 10.60/2.59 % (119747)Time elapsed: 0.107 s
% 10.60/2.59 % (119747)Peak memory usage: 90 MB
% 10.60/2.59 % (119747)Instructions burned: 108 (million)
% 10.60/2.59 % (119715)Refutation found. Thanks to Tanya!
% 10.60/2.59 % SZS status Unsatisfiable for theBenchmark
% 10.60/2.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.28/2.81 % (119715)------------------------------
% 0.28/2.81 % (119715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/2.81 % (119715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/2.81 % (119715)CaDiCaL version: 2.1.3
% 0.28/2.81 % (119715)Termination reason: Refutation
% 0.28/2.81 % (119715)Time elapsed: 1.186 s
% 0.28/2.81 % (119715)Peak memory usage: 142 MB
% 0.28/2.81 % (119715)Instructions burned: 2145 (million)
% 0.28/2.81 % (119715)------------------------------
% 0.28/2.81 % (119715)------------------------------
% 0.28/2.81 % (119708)Success in time 1.654 s
% 0.28/2.81 % Vampire exiting
%------------------------------------------------------------------------------