%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG375-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 09:30:25 AM UTC 2026
% Result : Unsatisfiable 5.48s 1.12s
% Output : Refutation 5.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 42 ( 14 unt; 4 def)
% Number of atoms : 95 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 109 ( 56 ~; 49 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 6 con; 0-4 aty)
% Number of variables : 23 ( 0 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f475,axiom,
! [X0,X1] : c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__diff__def_0) ).
fof(f477,axiom,
! [X0,X1] : c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_abs__minus__add__cancel_0) ).
fof(f888,axiom,
! [X0] :
( v_thesis____
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X0,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_that_1) ).
fof(f889,axiom,
! [X0] :
( v_thesis____
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X0,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_that_0) ).
fof(f890,axiom,
! [X0] :
( v_thesis____
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_sko__local__Xthat__1(X0,v_p,v_s____,v_z____),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_that_2) ).
fof(f1115,axiom,
! [X0] :
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X0,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X0,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_1) ).
fof(f1116,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f1117,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1701,plain,
! [X0] :
( ~ v_thesis____
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X0,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(consistent_polarity_flipping,[],[f888]) ).
fof(f1702,plain,
! [X0] :
( ~ v_thesis____
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X0,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(consistent_polarity_flipping,[],[f889]) ).
fof(f1703,plain,
! [X0] :
( ~ v_thesis____
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_sko__local__Xthat__1(X0,v_p,v_s____,v_z____),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(consistent_polarity_flipping,[],[f890]) ).
fof(f1801,plain,
v_thesis____,
inference(consistent_polarity_flipping,[],[f1117]) ).
fof(f1880,definition,
( spl0_2
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1892,plain,
spl0_2,
inference(avatar_split_clause,[],[f1801,f1880]) ).
fof(f1894,definition,
( spl0_5
<=> ! [X0] :
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_sko__local__Xthat__1(X0,v_p,v_s____,v_z____),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f1895,plain,
( ! [X0] :
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_sko__local__Xthat__1(X0,v_p,v_s____,v_z____),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f1894]) ).
fof(f1896,plain,
( spl0_5
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1703,f1880,f1894]) ).
fof(f1898,definition,
( spl0_6
<=> ! [X0] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X0,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f1899,plain,
( ! [X0] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X0,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f1898]) ).
fof(f1900,plain,
( spl0_6
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1702,f1880,f1898]) ).
fof(f1902,definition,
( spl0_7
<=> ! [X0] :
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X0,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f1903,plain,
( ! [X0] :
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X0,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f1902]) ).
fof(f1904,plain,
( spl0_7
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1701,f1880,f1902]) ).
fof(f6987,plain,
! [X0,X1] : c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f477,f475]) ).
fof(f6988,plain,
! [X0,X1] : c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f6987,f475]) ).
fof(f19606,plain,
( ! [X0] :
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_sko__local__Xthat__1(X0,v_p,v_s____,v_z____),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) )
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1895,f6988]) ).
fof(f20517,plain,
! [X0] :
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X0,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X0,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(forward_demodulation,[],[f1115,f6988]) ).
fof(f20519,plain,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_sko__local__Xthat__1(v_sko__CHAINED__1(v_p,v_s____,v_z____),v_p,v_s____,v_z____),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(v_sko__CHAINED__1(v_p,v_s____,v_z____),v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)
| ~ spl0_7 ),
inference(resolution,[],[f20517,f1903]) ).
fof(f20522,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(v_sko__CHAINED__1(v_p,v_s____,v_z____),v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f20519,f19606]) ).
fof(f20525,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f20522,f1899]) ).
fof(f20528,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f20525,f1116]) ).
fof(f20529,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f20528]) ).
cnf(s4,plain,
spl0_2,
inference(sat_conversion,[],[f1892]) ).
cnf(s5,plain,
( ~ spl0_2
| spl0_5 ),
inference(sat_conversion,[],[f1896]) ).
cnf(s6,plain,
( ~ spl0_2
| spl0_6 ),
inference(sat_conversion,[],[f1900]) ).
cnf(s7,plain,
( ~ spl0_2
| spl0_7 ),
inference(sat_conversion,[],[f1904]) ).
cnf(s854,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f20529]) ).
cnf(s1003,plain,
spl0_7,
inference(rat,[],[s7,s4]) ).
cnf(s1004,plain,
spl0_6,
inference(rat,[],[s6,s4]) ).
cnf(s1005,plain,
spl0_5,
inference(rat,[],[s5,s4]) ).
cnf(s1006,plain,
$false,
inference(rat,[],[s854,s1003,s1004,s1005]) ).
fof(f20531,plain,
$false,
inference(avatar_sat_refutation,[],[s1006]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG375-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n005.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 20:13:47 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.48/1.12 % (1110392)Will run a generic schedule for satisfiability detection.
% 5.48/1.12 % (1110400)dis+10_1_sil=32000:sp=arity:random_seed=1885505604:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.48/1.12 % (1110398)% WARNING: option uhcvi not known.
% 5.48/1.12 % (1110397)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1236092620_2999 on theBenchmark for (2999ds/0Mi)
% 5.48/1.12 % (1110398)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3723348757:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.48/1.12 % (1110399)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=506485726:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.48/1.12 % (1110402)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3413127200:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.48/1.12 % (1110401)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1323510699:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.48/1.12 % (1110403)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4005874416:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.48/1.12 % (1110400)Instruction limit reached!
% 5.48/1.12 % (1110400)------------------------------
% 5.48/1.12 % (1110400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.48/1.12 % (1110400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.12 % (1110400)CaDiCaL version: 2.1.3
% 5.48/1.12 % (1110400)Termination reason: Instruction limit
% 5.48/1.12 % (1110400)Termination phase: Saturation
% 5.48/1.12 % (1110400)Time elapsed: 0.035 s
% 5.48/1.12 % (1110400)Peak memory usage: 13 MB
% 5.48/1.12 % (1110400)Instructions burned: 106 (million)
% 5.48/1.12 % (1110412)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1825193711:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 5.48/1.12 % (1110402)Instruction limit reached!
% 5.48/1.12 % (1110402)------------------------------
% 5.48/1.12 % (1110402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.48/1.12 % (1110402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.12 % (1110402)CaDiCaL version: 2.1.3
% 5.48/1.12 % (1110402)Termination reason: Instruction limit
% 5.48/1.12 % (1110402)Termination phase: Saturation
% 5.48/1.12 % (1110402)Time elapsed: 0.075 s
% 5.48/1.12 % (1110402)Peak memory usage: 14 MB
% 5.48/1.12 % (1110402)Instructions burned: 131 (million)
% 5.48/1.12 % (1110403)Instruction limit reached!
% 5.48/1.12 % (1110403)------------------------------
% 5.48/1.12 % (1110403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.48/1.12 % (1110403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.12 % (1110403)CaDiCaL version: 2.1.3
% 5.48/1.12 % (1110403)Termination reason: Instruction limit
% 5.48/1.12 % (1110403)Termination phase: Saturation
% 5.48/1.12 % (1110403)Time elapsed: 0.092 s
% 5.48/1.12 % (1110403)Peak memory usage: 15 MB
% 5.48/1.12 % (1110403)Instructions burned: 159 (million)
% 5.48/1.12 % (1110414)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2690240028:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 5.48/1.12 % (1110401)Instruction limit reached!
% 5.48/1.12 % (1110401)------------------------------
% 5.48/1.12 % (1110401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.48/1.12 % (1110401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.12 % (1110401)CaDiCaL version: 2.1.3
% 5.48/1.12 % (1110401)Termination reason: Instruction limit
% 5.48/1.12 % (1110401)Termination phase: Saturation
% 5.48/1.12 % (1110401)Time elapsed: 0.097 s
% 5.48/1.12 % (1110401)Peak memory usage: 14 MB
% 5.48/1.12 % (1110401)Instructions burned: 116 (million)
% 5.48/1.12 % (1110415)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1737774610:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.48/1.12 % (1110419)ott-21_1_sil=16000:fs=off:random_seed=3038910803:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.48/1.12 % TRYING [1]
% 5.48/1.12 % TRYING [2]
% 5.48/1.12 % TRYING [3]
% 5.48/1.12 % (1110414)Instruction limit reached!
% 5.48/1.12 % (1110414)------------------------------
% 5.48/1.12 % (1110414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.48/1.12 % (1110412)Instruction limit reached!
% 5.48/1.12 % (1110412)------------------------------
% 5.48/1.12 % (1110412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.48/1.12 % (1110412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.12 % (1110414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.12 % (1110414)CaDiCaL version: 2.1.3
% 5.48/1.12 % (1110412)CaDiCaL version: 2.1.3
% 5.48/1.12 % (1110412)Termination reason: Instruction limit
% 5.48/1.12 % (1110412)Termination phase: Finite model building constraint generation
% 5.48/1.12 % (1110414)Termination reason: Instruction limit
% 5.48/1.12 % (1110414)Termination phase: Saturation
% 5.48/1.12 % (1110412)Time elapsed: 0.176 s
% 5.48/1.12 % (1110414)Time elapsed: 0.119 s
% 5.48/1.12 % (1110412)Peak memory usage: 34 MB
% 5.48/1.12 % (1110414)Peak memory usage: 14 MB
% 5.48/1.12 % (1110412)Instructions burned: 720 (million)
% 5.48/1.12 % (1110414)Instructions burned: 132 (million)
% 5.48/1.12 % (1110428)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3283407638:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 5.48/1.12 % (1110427)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2346444803:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 5.48/1.12 % TRYING [1]
% 5.48/1.12 % TRYING [2]
% 5.48/1.12 % (1110419)Instruction limit reached!
% 5.48/1.12 % (1110419)------------------------------
% 5.48/1.12 % (1110419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.48/1.12 % (1110419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.12 % (1110419)CaDiCaL version: 2.1.3
% 5.48/1.12 % (1110419)Termination reason: Instruction limit
% 5.48/1.12 % (1110419)Termination phase: Saturation
% 5.48/1.12 % (1110419)Time elapsed: 0.148 s
% 5.48/1.12 % (1110419)Peak memory usage: 13 MB
% 5.48/1.12 % (1110419)Instructions burned: 181 (million)
% 5.48/1.12 % (1110431)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3861968609:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 5.48/1.12 % TRYING [1]
% 5.48/1.12 % TRYING [2]
% 5.48/1.12 % TRYING [3]
% 5.48/1.12 % (1110428)Instruction limit reached!
% 5.48/1.12 % (1110428)------------------------------
% 5.48/1.12 % (1110428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.48/1.12 % (1110428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.12 % (1110428)CaDiCaL version: 2.1.3
% 5.48/1.12 % (1110428)Termination reason: Instruction limit
% 5.48/1.12 % (1110428)Termination phase: Finite model building SAT solving
% 5.48/1.12 % (1110428)Time elapsed: 0.309 s
% 5.48/1.12 % (1110428)Peak memory usage: 33 MB
% 5.48/1.12 % (1110428)Instructions burned: 866 (million)
% 5.48/1.12 % (1110443)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1854370053:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 5.48/1.12 % (1110427)Instruction limit reached!
% 5.48/1.12 % (1110427)------------------------------
% 5.48/1.12 % (1110427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.48/1.12 % (1110427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.12 % (1110427)CaDiCaL version: 2.1.3
% 5.48/1.12 % (1110427)Termination reason: Instruction limit
% 5.48/1.12 % (1110427)Termination phase: Saturation
% 5.48/1.12 % (1110427)Time elapsed: 0.504 s
% 5.48/1.12 % (1110427)Peak memory usage: 15 MB
% 5.48/1.12 % (1110427)Instructions burned: 477 (million)
% 5.48/1.12 % (1110415)Instruction limit reached!
% 5.48/1.12 % (1110415)------------------------------
% 5.48/1.12 % (1110415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.48/1.12 % (1110415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.12 % (1110415)CaDiCaL version: 2.1.3
% 5.48/1.12 % (1110415)Termination reason: Instruction limit
% 5.48/1.12 % (1110415)Termination phase: Saturation
% 5.48/1.12 % (1110415)Time elapsed: 0.650 s
% 5.48/1.12 % (1110415)Peak memory usage: 18 MB
% 5.48/1.12 % (1110415)Instructions burned: 684 (million)
% 5.48/1.12 % (1110445)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1385298140:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 5.48/1.12 % (1110398) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1110392-1110398"...
% 5.48/1.12 % (1110398)...printing done.
% 5.48/1.12 % (1110398)Refutation found. Thanks to Tanya!
% 5.48/1.12 % SZS status Unsatisfiable for theBenchmark
% 5.48/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 5.48/1.13 % (1110398)------------------------------
% 5.48/1.13 % (1110398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.48/1.13 % (1110398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.13 % (1110398)CaDiCaL version: 2.1.3
% 5.48/1.13 % (1110398)Termination reason: Refutation
% 5.48/1.13 % (1110398)Time elapsed: 0.800 s
% 5.48/1.13 % (1110398)Peak memory usage: 21 MB
% 5.48/1.13 % (1110398)Instructions burned: 927 (million)
% 5.48/1.13 % (1110392)Success in time 0.893 s
% 5.48/1.13 % Vampire exiting
%------------------------------------------------------------------------------