%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU437+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:49:03 PM UTC 2026
% Result : Theorem 6.57s 2.02s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 18
% Syntax : Number of formulae : 137 ( 32 unt; 8 def)
% Number of atoms : 526 ( 12 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 651 ( 262 ~; 333 |; 29 &)
% ( 9 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-4 aty)
% Number of variables : 261 ( 1 sgn 247 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( r1_tarski(X3,X4)
=> r1_tarski(k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( r1_tarski(X3,X4)
=> r1_tarski(k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f7,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f9,axiom,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f21,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
=> m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relset_2) ).
fof(f49,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f51,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> ! [X3] :
( m1_subset_1(X3,X0)
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
=> ( r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
<=> ! [X5] :
( r2_hidden(X5,X2)
=> r2_hidden(X3,k9_relat_1(X4,k1_tarski(X5))) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_relset_2) ).
fof(f54,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f55,axiom,
! [X0,X1,X2] :
~ ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f59,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
<=> r2_hidden(k4_tarski(X1,X0),X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_relset_2) ).
fof(f60,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f49]) ).
fof(f67,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ~ r1_tarski(k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4))
& r1_tarski(X3,X4)
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f2]) ).
fof(f68,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ~ r1_tarski(k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4))
& r1_tarski(X3,X4)
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f67]) ).
fof(f71,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f5]) ).
fof(f72,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f77,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f21]) ).
fof(f78,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(flattening,[],[f77]) ).
fof(f90,plain,
! [X0] :
( ! [X1,X2] :
( ! [X3] :
( ! [X4] :
( ( r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
<=> ! [X5] :
( r2_hidden(X3,k9_relat_1(X4,k1_tarski(X5)))
| ~ r2_hidden(X5,X2) ) )
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) )
| ~ m1_subset_1(X3,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f93,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f94,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f93]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2) ),
inference(ennf_transformation,[],[f55]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
<=> r2_hidden(k4_tarski(X1,X0),X2) )
| ~ v1_relat_1(X2) ),
inference(ennf_transformation,[],[f59]) ).
fof(f100,plain,
( ~ r1_tarski(k8_relset_2(sK0,sK1,sK2,sK3),k8_relset_2(sK0,sK1,sK2,sK4))
& r1_tarski(sK3,sK4)
& m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
& m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
& m1_subset_1(sK2,k1_zfmisc_1(sK0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f68]) ).
fof(f101,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f72]) ).
fof(f102,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(rectify,[],[f101]) ).
fof(f103,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK5(X0,X1),X1)
& r2_hidden(sK5(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f102]) ).
fof(f115,plain,
! [X0] :
( ! [X1,X2] :
( ! [X3] :
( ! [X4] :
( ( ( r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
| ? [X5] :
( ~ r2_hidden(X3,k9_relat_1(X4,k1_tarski(X5)))
& r2_hidden(X5,X2) ) )
& ( ! [X5] :
( r2_hidden(X3,k9_relat_1(X4,k1_tarski(X5)))
| ~ r2_hidden(X5,X2) )
| ~ r2_hidden(X3,k8_relset_2(X1,X0,X2,X4)) ) )
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) )
| ~ m1_subset_1(X3,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) )
| v1_xboole_0(X0) ),
inference(nnf_transformation,[],[f90]) ).
fof(f116,plain,
! [X0] :
( ! [X1,X2] :
( ! [X3] :
( ! [X4] :
( ( ( r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
| ? [X5] :
( ~ r2_hidden(X3,k9_relat_1(X4,k1_tarski(X5)))
& r2_hidden(X5,X2) ) )
& ( ! [X6] :
( r2_hidden(X3,k9_relat_1(X4,k1_tarski(X6)))
| ~ r2_hidden(X6,X2) )
| ~ r2_hidden(X3,k8_relset_2(X1,X0,X2,X4)) ) )
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) )
| ~ m1_subset_1(X3,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) )
| v1_xboole_0(X0) ),
inference(rectify,[],[f115]) ).
fof(f117,plain,
! [X0] :
( ! [X1,X2] :
( ! [X3] :
( ! [X4] :
( ( ( r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
| ( ~ r2_hidden(X3,k9_relat_1(X4,k1_tarski(sK16(X2,X3,X4))))
& r2_hidden(sK16(X2,X3,X4),X2) ) )
& ( ! [X6] :
( r2_hidden(X3,k9_relat_1(X4,k1_tarski(X6)))
| ~ r2_hidden(X6,X2) )
| ~ r2_hidden(X3,k8_relset_2(X1,X0,X2,X4)) ) )
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) )
| ~ m1_subset_1(X3,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) )
| v1_xboole_0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X5,sK16(X2,X3,X4))],[f116]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
| ~ r2_hidden(k4_tarski(X1,X0),X2) )
& ( r2_hidden(k4_tarski(X1,X0),X2)
| ~ r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1))) ) )
| ~ v1_relat_1(X2) ),
inference(nnf_transformation,[],[f99]) ).
fof(f120,plain,
m1_subset_1(sK2,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f100]) ).
fof(f121,plain,
m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))),
inference(cnf_transformation,[],[f100]) ).
fof(f122,plain,
m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))),
inference(cnf_transformation,[],[f100]) ).
fof(f123,plain,
r1_tarski(sK3,sK4),
inference(cnf_transformation,[],[f100]) ).
fof(f124,plain,
~ r1_tarski(k8_relset_2(sK0,sK1,sK2,sK3),k8_relset_2(sK0,sK1,sK2,sK4)),
inference(cnf_transformation,[],[f100]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f71]) ).
fof(f129,plain,
! [X3,X0,X1] :
( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f130,plain,
! [X0,X1] :
( r2_hidden(sK5(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f131,plain,
! [X0,X1] :
( ~ r2_hidden(sK5(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f133,plain,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
inference(cnf_transformation,[],[f9]) ).
fof(f138,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f78]) ).
fof(f171,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f60]) ).
fof(f173,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
| ~ r2_hidden(X6,X2)
| r2_hidden(X3,k9_relat_1(X4,k1_tarski(X6)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f174,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
| r2_hidden(sK16(X2,X3,X4),X2)
| r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f175,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X3,k9_relat_1(X4,k1_tarski(sK16(X2,X3,X4))))
| r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f94]) ).
fof(f180,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f95]) ).
fof(f184,plain,
! [X2,X0,X1] :
( r2_hidden(k4_tarski(X1,X0),X2)
| ~ r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f119]) ).
fof(f185,plain,
! [X2,X0,X1] :
( r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
| ~ r2_hidden(k4_tarski(X1,X0),X2)
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f119]) ).
fof(f186,plain,
! [X2,X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(X1,X0),k1_tarski(X1)),X2)
| r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
| ~ v1_relat_1(X2) ),
inference(definition_unfolding,[],[f185,f133]) ).
fof(f187,plain,
! [X2,X0,X1] :
( r2_hidden(k2_tarski(k2_tarski(X1,X0),k1_tarski(X1)),X2)
| ~ r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
| ~ v1_relat_1(X2) ),
inference(definition_unfolding,[],[f184,f133]) ).
fof(f188,definition,
sF17 = k8_relset_2(sK0,sK1,sK2,sK3),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f189,plain,
k8_relset_2(sK0,sK1,sK2,sK3) = sF17,
inference(reorient_equations,[],[f188]) ).
fof(f190,definition,
sF18 = k8_relset_2(sK0,sK1,sK2,sK4),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f191,plain,
k8_relset_2(sK0,sK1,sK2,sK4) = sF18,
inference(reorient_equations,[],[f190]) ).
fof(f192,plain,
~ r1_tarski(sF17,sF18),
inference(definition_folding,[],[f124,f191,f189]) ).
fof(f193,definition,
sF19 = k2_zfmisc_1(sK0,sK1),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f194,plain,
k2_zfmisc_1(sK0,sK1) = sF19,
inference(reorient_equations,[],[f193]) ).
fof(f195,definition,
sF20 = k1_zfmisc_1(sF19),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f196,plain,
k1_zfmisc_1(sF19) = sF20,
inference(reorient_equations,[],[f195]) ).
fof(f197,plain,
m1_subset_1(sK4,sF20),
inference(definition_folding,[],[f122,f196,f194]) ).
fof(f198,plain,
m1_subset_1(sK3,sF20),
inference(definition_folding,[],[f121,f196,f194]) ).
fof(f199,definition,
sF21 = k1_zfmisc_1(sK0),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f200,plain,
k1_zfmisc_1(sK0) = sF21,
inference(reorient_equations,[],[f199]) ).
fof(f201,plain,
m1_subset_1(sK2,sF21),
inference(definition_folding,[],[f120,f200]) ).
fof(f205,plain,
( m1_subset_1(sF17,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| ~ m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(superposition,[],[f138,f189]) ).
fof(f208,plain,
( ~ m1_subset_1(sK2,sF21)
| m1_subset_1(sF17,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(forward_demodulation,[],[f205,f200]) ).
fof(f210,plain,
( m1_subset_1(sF17,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f208,f201]) ).
fof(f212,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(sF19))
| m1_subset_1(sF17,k1_zfmisc_1(sK1)) ),
inference(forward_demodulation,[],[f210,f194]) ).
fof(f214,plain,
( ~ m1_subset_1(sK3,sF20)
| m1_subset_1(sF17,k1_zfmisc_1(sK1)) ),
inference(forward_demodulation,[],[f212,f196]) ).
fof(f216,plain,
m1_subset_1(sF17,k1_zfmisc_1(sK1)),
inference(forward_subsumption_resolution,[],[f214,f198]) ).
fof(f224,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF19))
| r2_hidden(sK16(X1,X2,X0),X1)
| r2_hidden(X2,k8_relset_2(sK0,sK1,X1,X0))
| ~ m1_subset_1(X2,sK1)
| ~ m1_subset_1(X1,k1_zfmisc_1(sK0))
| v1_xboole_0(sK1) ),
inference(superposition,[],[f174,f194]) ).
fof(f225,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,sF20)
| r2_hidden(sK16(X1,X2,X0),X1)
| r2_hidden(X2,k8_relset_2(sK0,sK1,X1,X0))
| ~ m1_subset_1(X2,sK1)
| ~ m1_subset_1(X1,k1_zfmisc_1(sK0))
| v1_xboole_0(sK1) ),
inference(forward_demodulation,[],[f224,f196]) ).
fof(f226,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,sF21)
| ~ m1_subset_1(X0,sF20)
| r2_hidden(sK16(X1,X2,X0),X1)
| r2_hidden(X2,k8_relset_2(sK0,sK1,X1,X0))
| ~ m1_subset_1(X2,sK1)
| v1_xboole_0(sK1) ),
inference(forward_demodulation,[],[f225,f200]) ).
fof(f228,definition,
( spl22_1
<=> v1_xboole_0(sK1) ),
introduced(definition,[new_symbols(definition,[spl22_1])],[avatar_definition]) ).
fof(f229,plain,
( ~ v1_xboole_0(sK1)
| spl22_1 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f230,plain,
( v1_xboole_0(sK1)
| ~ spl22_1 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f232,definition,
( spl22_2
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X1,sF21)
| ~ m1_subset_1(X2,sK1)
| r2_hidden(X2,k8_relset_2(sK0,sK1,X1,X0))
| r2_hidden(sK16(X1,X2,X0),X1)
| ~ m1_subset_1(X0,sF20) ) ),
introduced(definition,[new_symbols(definition,[spl22_2])],[avatar_definition]) ).
fof(f233,plain,
( ! [X2,X0,X1] :
( r2_hidden(X2,k8_relset_2(sK0,sK1,X1,X0))
| r2_hidden(sK16(X1,X2,X0),X1)
| ~ m1_subset_1(X2,sK1)
| ~ m1_subset_1(X1,sF21)
| ~ m1_subset_1(X0,sF20) )
| ~ spl22_2 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f234,plain,
( spl22_1
| spl22_2 ),
inference(avatar_split_clause,[],[f226,f232,f228]) ).
fof(f238,plain,
( ! [X0] :
( r2_hidden(X0,sF18)
| r2_hidden(sK16(sK2,X0,sK4),sK2)
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sK2,sF21)
| ~ m1_subset_1(sK4,sF20) )
| ~ spl22_2 ),
inference(superposition,[],[f233,f191]) ).
fof(f241,plain,
( ! [X0] :
( r2_hidden(X0,sF18)
| r2_hidden(sK16(sK2,X0,sK4),sK2)
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sK4,sF20) )
| ~ spl22_2 ),
inference(forward_subsumption_resolution,[],[f238,f201]) ).
fof(f243,plain,
( ! [X0] :
( r2_hidden(sK16(sK2,X0,sK4),sK2)
| r2_hidden(X0,sF18)
| ~ m1_subset_1(X0,sK1) )
| ~ spl22_2 ),
inference(forward_subsumption_resolution,[],[f241,f197]) ).
fof(f288,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(sK5(k8_relset_2(X2,X3,X1,X4),X5),X3)
| r2_hidden(sK5(k8_relset_2(X2,X3,X1,X4),X5),k9_relat_1(X4,k1_tarski(X0)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| v1_xboole_0(X3)
| r1_tarski(k8_relset_2(X2,X3,X1,X4),X5) ),
inference(resolution,[],[f173,f130]) ).
fof(f351,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF19))
| v1_relat_1(X0) ),
inference(superposition,[],[f127,f194]) ).
fof(f352,plain,
! [X0] :
( ~ m1_subset_1(X0,sF20)
| v1_relat_1(X0) ),
inference(forward_demodulation,[],[f351,f196]) ).
fof(f353,plain,
v1_relat_1(sK3),
inference(resolution,[],[f352,f198]) ).
fof(f419,plain,
! [X0,X1] :
( ~ m1_subset_1(sK5(sF17,X0),sK1)
| r2_hidden(sK5(sF17,X0),k9_relat_1(sK3,k1_tarski(X1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ r2_hidden(X1,sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| v1_xboole_0(sK1)
| r1_tarski(sF17,X0) ),
inference(superposition,[],[f288,f189]) ).
fof(f420,plain,
! [X0,X1] :
( ~ m1_subset_1(sK3,k1_zfmisc_1(sF19))
| ~ m1_subset_1(sK5(sF17,X0),sK1)
| r2_hidden(sK5(sF17,X0),k9_relat_1(sK3,k1_tarski(X1)))
| ~ r2_hidden(X1,sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| v1_xboole_0(sK1)
| r1_tarski(sF17,X0) ),
inference(forward_demodulation,[],[f419,f194]) ).
fof(f424,plain,
! [X0,X1] :
( ~ m1_subset_1(sK3,sF20)
| ~ m1_subset_1(sK5(sF17,X0),sK1)
| r2_hidden(sK5(sF17,X0),k9_relat_1(sK3,k1_tarski(X1)))
| ~ r2_hidden(X1,sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| v1_xboole_0(sK1)
| r1_tarski(sF17,X0) ),
inference(forward_demodulation,[],[f420,f196]) ).
fof(f426,plain,
! [X0,X1] :
( ~ m1_subset_1(sK5(sF17,X0),sK1)
| r2_hidden(sK5(sF17,X0),k9_relat_1(sK3,k1_tarski(X1)))
| ~ r2_hidden(X1,sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| v1_xboole_0(sK1)
| r1_tarski(sF17,X0) ),
inference(forward_subsumption_resolution,[],[f424,f198]) ).
fof(f428,plain,
! [X0,X1] :
( ~ m1_subset_1(sK2,sF21)
| ~ m1_subset_1(sK5(sF17,X0),sK1)
| r2_hidden(sK5(sF17,X0),k9_relat_1(sK3,k1_tarski(X1)))
| ~ r2_hidden(X1,sK2)
| v1_xboole_0(sK1)
| r1_tarski(sF17,X0) ),
inference(forward_demodulation,[],[f426,f200]) ).
fof(f430,plain,
! [X0,X1] :
( ~ m1_subset_1(sK5(sF17,X0),sK1)
| r2_hidden(sK5(sF17,X0),k9_relat_1(sK3,k1_tarski(X1)))
| ~ r2_hidden(X1,sK2)
| v1_xboole_0(sK1)
| r1_tarski(sF17,X0) ),
inference(forward_subsumption_resolution,[],[f428,f201]) ).
fof(f433,definition,
( spl22_11
<=> ! [X0,X1] :
( ~ m1_subset_1(sK5(sF17,X0),sK1)
| r1_tarski(sF17,X0)
| ~ r2_hidden(X1,sK2)
| r2_hidden(sK5(sF17,X0),k9_relat_1(sK3,k1_tarski(X1))) ) ),
introduced(definition,[new_symbols(definition,[spl22_11])],[avatar_definition]) ).
fof(f434,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK5(sF17,X0),sK1)
| r1_tarski(sF17,X0)
| ~ r2_hidden(X1,sK2)
| r2_hidden(sK5(sF17,X0),k9_relat_1(sK3,k1_tarski(X1))) )
| ~ spl22_11 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f435,plain,
( spl22_1
| spl22_11 ),
inference(avatar_split_clause,[],[f430,f433,f228]) ).
fof(f554,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,k9_relat_1(X1,k1_tarski(X2)))
| ~ v1_relat_1(X1)
| r2_hidden(k2_tarski(k2_tarski(X2,X0),k1_tarski(X2)),X3)
| ~ r1_tarski(X1,X3) ),
inference(resolution,[],[f187,f129]) ).
fof(f617,plain,
! [X0] :
( ~ r2_hidden(X0,sF17)
| m1_subset_1(X0,sK1) ),
inference(resolution,[],[f179,f216]) ).
fof(f639,plain,
! [X0] :
( m1_subset_1(sK5(sF17,X0),sK1)
| r1_tarski(sF17,X0) ),
inference(resolution,[],[f617,f130]) ).
fof(f786,plain,
! [X0] :
( ~ r2_hidden(X0,sF17)
| ~ v1_xboole_0(sK1) ),
inference(resolution,[],[f180,f216]) ).
fof(f807,plain,
( ! [X0] : ~ r2_hidden(X0,sF17)
| ~ spl22_1 ),
inference(forward_subsumption_resolution,[],[f786,f230]) ).
fof(f810,plain,
( ! [X0] : r1_tarski(sF17,X0)
| ~ spl22_1 ),
inference(resolution,[],[f807,f130]) ).
fof(f823,plain,
( $false
| ~ spl22_1 ),
inference(resolution,[],[f810,f192]) ).
fof(f827,plain,
~ spl22_1,
inference(avatar_contradiction_clause,[],[f823]) ).
fof(f828,plain,
( ! [X0,X1] :
( r2_hidden(sK5(sF17,X0),k9_relat_1(sK3,k1_tarski(X1)))
| ~ r2_hidden(X1,sK2)
| r1_tarski(sF17,X0) )
| ~ spl22_11 ),
inference(forward_subsumption_resolution,[],[f434,f639]) ).
fof(f2388,plain,
( ! [X2,X0,X1] :
( ~ v1_relat_1(sK3)
| r2_hidden(k2_tarski(k2_tarski(X0,sK5(sF17,X1)),k1_tarski(X0)),X2)
| ~ r1_tarski(sK3,X2)
| ~ r2_hidden(X0,sK2)
| r1_tarski(sF17,X1) )
| ~ spl22_11 ),
inference(resolution,[],[f554,f828]) ).
fof(f2420,plain,
( ! [X2,X0,X1] :
( r2_hidden(k2_tarski(k2_tarski(X0,sK5(sF17,X1)),k1_tarski(X0)),X2)
| ~ r1_tarski(sK3,X2)
| ~ r2_hidden(X0,sK2)
| r1_tarski(sF17,X1) )
| ~ spl22_11 ),
inference(forward_subsumption_resolution,[],[f2388,f353]) ).
fof(f2509,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X1,sK2)
| ~ r1_tarski(sK3,X0)
| r1_tarski(sF17,X2)
| r2_hidden(k2_tarski(k2_tarski(X1,sK5(sF17,X2)),k1_tarski(X1)),X3)
| ~ r1_tarski(X0,X3) )
| ~ spl22_11 ),
inference(resolution,[],[f2420,f129]) ).
fof(f2686,plain,
( ! [X2,X3,X0,X1] :
( ~ r1_tarski(sK3,X0)
| r1_tarski(sF17,X1)
| r2_hidden(k2_tarski(k2_tarski(sK16(sK2,X2,sK4),sK5(sF17,X1)),k1_tarski(sK16(sK2,X2,sK4))),X3)
| ~ r1_tarski(X0,X3)
| r2_hidden(X2,sF18)
| ~ m1_subset_1(X2,sK1) )
| ~ spl22_2
| ~ spl22_11 ),
inference(resolution,[],[f2509,f243]) ).
fof(f2980,plain,
( ! [X2,X0,X1] :
( r2_hidden(k2_tarski(k2_tarski(sK16(sK2,X1,sK4),sK5(sF17,X0)),k1_tarski(sK16(sK2,X1,sK4))),X2)
| r1_tarski(sF17,X0)
| ~ r1_tarski(sK4,X2)
| r2_hidden(X1,sF18)
| ~ m1_subset_1(X1,sK1) )
| ~ spl22_2
| ~ spl22_11 ),
inference(resolution,[],[f2686,f123]) ).
fof(f2984,plain,
( ! [X2,X0,X1] :
( r2_hidden(sK5(sF17,X0),k9_relat_1(X1,k1_tarski(sK16(sK2,X2,sK4))))
| ~ r1_tarski(sK4,X1)
| r2_hidden(X2,sF18)
| ~ m1_subset_1(X2,sK1)
| r1_tarski(sF17,X0)
| ~ v1_relat_1(X1) )
| ~ spl22_2
| ~ spl22_11 ),
inference(resolution,[],[f2980,f186]) ).
fof(f3007,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(sK4,sK4)
| r2_hidden(sK5(sF17,X0),sF18)
| ~ m1_subset_1(sK5(sF17,X0),sK1)
| r1_tarski(sF17,X0)
| ~ v1_relat_1(sK4)
| r2_hidden(sK5(sF17,X0),k8_relset_2(X1,X2,sK2,sK4))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(sK5(sF17,X0),X2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X1))
| v1_xboole_0(X2) )
| ~ spl22_2
| ~ spl22_11 ),
inference(resolution,[],[f2984,f175]) ).
fof(f3029,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(sK4,sK4)
| r2_hidden(sK5(sF17,X0),sF18)
| r1_tarski(sF17,X0)
| ~ v1_relat_1(sK4)
| r2_hidden(sK5(sF17,X0),k8_relset_2(X1,X2,sK2,sK4))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(sK5(sF17,X0),X2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X1))
| v1_xboole_0(X2) )
| ~ spl22_2
| ~ spl22_11 ),
inference(forward_subsumption_resolution,[],[f3007,f639]) ).
fof(f3030,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(sK4,sK4)
| r2_hidden(sK5(sF17,X0),sF18)
| r1_tarski(sF17,X0)
| r2_hidden(sK5(sF17,X0),k8_relset_2(X1,X2,sK2,sK4))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(sK5(sF17,X0),X2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X1))
| v1_xboole_0(X2) )
| ~ spl22_2
| ~ spl22_11 ),
inference(forward_subsumption_resolution,[],[f3029,f127]) ).
fof(f3031,plain,
( ! [X2,X0,X1] :
( r2_hidden(sK5(sF17,X0),k8_relset_2(X1,X2,sK2,sK4))
| r1_tarski(sF17,X0)
| r2_hidden(sK5(sF17,X0),sF18)
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(sK5(sF17,X0),X2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X1))
| v1_xboole_0(X2) )
| ~ spl22_2
| ~ spl22_11 ),
inference(forward_subsumption_resolution,[],[f3030,f171]) ).
fof(f3051,plain,
( ! [X0] :
( r2_hidden(sK5(sF17,X0),sF18)
| r1_tarski(sF17,X0)
| r2_hidden(sK5(sF17,X0),sF18)
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(sK5(sF17,X0),sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| v1_xboole_0(sK1) )
| ~ spl22_2
| ~ spl22_11 ),
inference(superposition,[],[f3031,f191]) ).
fof(f3052,plain,
( ! [X0] :
( r2_hidden(sK5(sF17,X0),sF18)
| r1_tarski(sF17,X0)
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(sK5(sF17,X0),sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| v1_xboole_0(sK1) )
| ~ spl22_2
| ~ spl22_11 ),
inference(duplicate_literal_removal,[],[f3051]) ).
fof(f3055,plain,
( ! [X0] :
( r2_hidden(sK5(sF17,X0),sF18)
| r1_tarski(sF17,X0)
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| v1_xboole_0(sK1) )
| ~ spl22_2
| ~ spl22_11 ),
inference(forward_subsumption_resolution,[],[f3052,f639]) ).
fof(f3056,plain,
( ! [X0] :
( r2_hidden(sK5(sF17,X0),sF18)
| r1_tarski(sF17,X0)
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| spl22_1
| ~ spl22_2
| ~ spl22_11 ),
inference(forward_subsumption_resolution,[],[f3055,f229]) ).
fof(f3057,plain,
( ! [X0] :
( ~ m1_subset_1(sK4,k1_zfmisc_1(sF19))
| r2_hidden(sK5(sF17,X0),sF18)
| r1_tarski(sF17,X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| spl22_1
| ~ spl22_2
| ~ spl22_11 ),
inference(forward_demodulation,[],[f3056,f194]) ).
fof(f3058,plain,
( ! [X0] :
( ~ m1_subset_1(sK4,sF20)
| r2_hidden(sK5(sF17,X0),sF18)
| r1_tarski(sF17,X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| spl22_1
| ~ spl22_2
| ~ spl22_11 ),
inference(forward_demodulation,[],[f3057,f196]) ).
fof(f3059,plain,
( ! [X0] :
( r2_hidden(sK5(sF17,X0),sF18)
| r1_tarski(sF17,X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| spl22_1
| ~ spl22_2
| ~ spl22_11 ),
inference(forward_subsumption_resolution,[],[f3058,f197]) ).
fof(f3060,plain,
( ! [X0] :
( ~ m1_subset_1(sK2,sF21)
| r2_hidden(sK5(sF17,X0),sF18)
| r1_tarski(sF17,X0) )
| spl22_1
| ~ spl22_2
| ~ spl22_11 ),
inference(forward_demodulation,[],[f3059,f200]) ).
fof(f3061,plain,
( ! [X0] :
( r2_hidden(sK5(sF17,X0),sF18)
| r1_tarski(sF17,X0) )
| spl22_1
| ~ spl22_2
| ~ spl22_11 ),
inference(forward_subsumption_resolution,[],[f3060,f201]) ).
fof(f3063,plain,
( r1_tarski(sF17,sF18)
| r1_tarski(sF17,sF18)
| spl22_1
| ~ spl22_2
| ~ spl22_11 ),
inference(resolution,[],[f3061,f131]) ).
fof(f3071,plain,
( r1_tarski(sF17,sF18)
| spl22_1
| ~ spl22_2
| ~ spl22_11 ),
inference(duplicate_literal_removal,[],[f3063]) ).
fof(f3076,plain,
( $false
| spl22_1
| ~ spl22_2
| ~ spl22_11 ),
inference(forward_subsumption_resolution,[],[f3071,f192]) ).
fof(f3077,plain,
( spl22_1
| ~ spl22_2
| ~ spl22_11 ),
inference(avatar_contradiction_clause,[],[f3076]) ).
cnf(s1,plain,
( spl22_1
| spl22_2 ),
inference(sat_conversion,[],[f234]) ).
cnf(s8,plain,
( spl22_1
| spl22_11 ),
inference(sat_conversion,[],[f435]) ).
cnf(s19,plain,
~ spl22_1,
inference(sat_conversion,[],[f827]) ).
cnf(s157,plain,
( spl22_1
| ~ spl22_2
| ~ spl22_11 ),
inference(sat_conversion,[],[f3077]) ).
cnf(s185,plain,
spl22_11,
inference(rat,[],[s8,s19]) ).
cnf(s187,plain,
~ spl22_2,
inference(rat,[],[s157,s19,s185]) ).
cnf(s193,plain,
$false,
inference(rat,[],[s1,s187,s19]) ).
fof(f3079,plain,
$false,
inference(avatar_sat_refutation,[],[s193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU437+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n016.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 05:33:03 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.57/2.02 % (3292568)Detected formulas, will run a generic FOF schedule.
% 6.57/2.02 % (3292574)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4003338702:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.57/2.02 % (3292578)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3682000841:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.57/2.02 % (3292579)dis-21_1_sil=8000:lcm=predicate:random_seed=1221608840:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.57/2.02 % (3292573)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=3267787434:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.57/2.02 % (3292577)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1828205744:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.57/2.02 % (3292576)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3952434330:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.57/2.02 % (3292575)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3815603884:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.57/2.02 % (3292576)Refutation not found, incomplete strategy
% 6.57/2.02 % (3292576)------------------------------
% 6.57/2.02 % (3292576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/2.02 % (3292576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/2.02 % (3292576)CaDiCaL version: 2.1.3
% 6.57/2.02 % (3292576)Termination reason: Refutation not found, incomplete strategy
% 6.57/2.02 % (3292576)Time elapsed: 0.002 s
% 6.57/2.02 % (3292576)Peak memory usage: 88 MB
% 6.57/2.02 % (3292576)Instructions burned: 1 (million)
% 6.57/2.02 % (3292577)Instruction limit reached!
% 6.57/2.02 % (3292577)------------------------------
% 6.57/2.02 % (3292577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/2.02 % (3292577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/2.02 % (3292577)CaDiCaL version: 2.1.3
% 6.57/2.02 % (3292577)Termination reason: Instruction limit
% 6.57/2.02 % (3292577)Termination phase: Saturation
% 6.57/2.02 % (3292577)Time elapsed: 0.073 s
% 6.57/2.02 % (3292577)Peak memory usage: 88 MB
% 6.57/2.02 % (3292577)Instructions burned: 120 (million)
% 6.57/2.02 % (3292579)Instruction limit reached!
% 6.57/2.02 % (3292579)------------------------------
% 6.57/2.02 % (3292579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/2.02 % (3292579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/2.02 % (3292579)CaDiCaL version: 2.1.3
% 6.57/2.02 % (3292579)Termination reason: Instruction limit
% 6.57/2.02 % (3292579)Termination phase: Saturation
% 6.57/2.02 % (3292579)Time elapsed: 0.076 s
% 6.57/2.02 % (3292579)Peak memory usage: 89 MB
% 6.57/2.02 % (3292579)Instructions burned: 129 (million)
% 6.57/2.02 % (3292578)Instruction limit reached!
% 6.57/2.02 % (3292578)------------------------------
% 6.57/2.02 % (3292578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/2.02 % (3292578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/2.02 % (3292578)CaDiCaL version: 2.1.3
% 6.57/2.02 % (3292578)Termination reason: Instruction limit
% 6.57/2.02 % (3292578)Termination phase: Saturation
% 6.57/2.02 % (3292578)Time elapsed: 0.106 s
% 6.57/2.02 % (3292578)Peak memory usage: 89 MB
% 6.57/2.02 % (3292578)Instructions burned: 140 (million)
% 6.57/2.02 % (3292588)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4143481463:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.57/2.02 % (3292587)lrs+10_1_sil=8000:sp=occurrence:random_seed=1863604254:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.57/2.02 % (3292576)------------------------------
% 6.57/2.02 % (3292576)------------------------------
% 6.57/2.02 % (3292589)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3331786494:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.57/2.02 % (3292588)Instruction limit reached!
% 6.57/2.02 % (3292588)------------------------------
% 6.57/2.02 % (3292588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/2.02 % (3292588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/2.02 % (3292588)CaDiCaL version: 2.1.3
% 6.57/2.02 % (3292588)Termination reason: Instruction limit
% 6.57/2.02 % (3292588)Termination phase: Saturation
% 6.57/2.02 % (3292588)Time elapsed: 0.084 s
% 6.57/2.02 % (3292588)Peak memory usage: 90 MB
% 6.57/2.02 % (3292588)Instructions burned: 158 (million)
% 6.57/2.02 % (3292593)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3193840151:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.57/2.02 % (3292587)Instruction limit reached!
% 6.57/2.02 % (3292587)------------------------------
% 6.57/2.02 % (3292587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/2.02 % (3292587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/2.02 % (3292587)CaDiCaL version: 2.1.3
% 6.57/2.02 % (3292587)Termination reason: Instruction limit
% 6.57/2.02 % (3292587)Termination phase: Saturation
% 6.57/2.02 % (3292587)Time elapsed: 0.188 s
% 6.57/2.02 % (3292587)Peak memory usage: 91 MB
% 6.57/2.02 % (3292587)Instructions burned: 285 (million)
% 6.57/2.02 % (3292594)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2258427287:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.57/2.02 % (3292593)Instruction limit reached!
% 6.57/2.02 % (3292593)------------------------------
% 6.57/2.02 % (3292593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/2.02 % (3292593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/2.02 % (3292593)CaDiCaL version: 2.1.3
% 6.57/2.02 % (3292593)Termination reason: Instruction limit
% 6.57/2.02 % (3292593)Termination phase: Saturation
% 6.57/2.02 % (3292593)Time elapsed: 0.072 s
% 6.57/2.02 % (3292593)Peak memory usage: 92 MB
% 6.57/2.02 % (3292593)Instructions burned: 252 (million)
% 6.57/2.02 % (3292589)Instruction limit reached!
% 6.57/2.02 % (3292589)------------------------------
% 6.57/2.02 % (3292589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/2.02 % (3292589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/2.02 % (3292589)CaDiCaL version: 2.1.3
% 6.57/2.02 % (3292589)Termination reason: Instruction limit
% 6.57/2.02 % (3292589)Termination phase: Saturation
% 6.57/2.02 % (3292589)Time elapsed: 0.225 s
% 6.57/2.02 % (3292589)Peak memory usage: 92 MB
% 6.57/2.02 % (3292589)Instructions burned: 326 (million)
% 6.57/2.02 % (3292598)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=736878701:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.57/2.02 % (3292596)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=153641009:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.57/2.02 % (3292594)Instruction limit reached!
% 6.57/2.02 % (3292594)------------------------------
% 6.57/2.02 % (3292594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/2.02 % (3292594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/2.02 % (3292594)CaDiCaL version: 2.1.3
% 6.57/2.02 % (3292594)Termination reason: Instruction limit
% 6.57/2.02 % (3292594)Termination phase: Saturation
% 6.57/2.02 % (3292594)Time elapsed: 0.136 s
% 6.57/2.02 % (3292594)Peak memory usage: 89 MB
% 6.57/2.02 % (3292594)Instructions burned: 294 (million)
% 6.57/2.02 % (3292598)Instruction limit reached!
% 6.57/2.02 % (3292598)------------------------------
% 6.57/2.02 % (3292598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/2.02 % (3292598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/2.02 % (3292598)CaDiCaL version: 2.1.3
% 6.57/2.02 % (3292598)Termination reason: Instruction limit
% 6.57/2.02 % (3292598)Termination phase: Saturation
% 6.57/2.02 % (3292598)Time elapsed: 0.043 s
% 6.57/2.02 % (3292598)Peak memory usage: 89 MB
% 6.57/2.02 % (3292598)Instructions burned: 114 (million)
% 6.57/2.02 % (3292599)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1891523322:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.57/2.02 % (3292599)Instruction limit reached!
% 6.57/2.02 % (3292599)------------------------------
% 6.57/2.02 % (3292599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/2.02 % (3292599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/2.02 % (3292599)CaDiCaL version: 2.1.3
% 6.57/2.02 % (3292599)Termination reason: Instruction limit
% 6.57/2.02 % (3292599)Termination phase: Saturation
% 6.57/2.02 % (3292599)Time elapsed: 0.065 s
% 6.57/2.02 % (3292599)Peak memory usage: 89 MB
% 6.57/2.02 % (3292599)Instructions burned: 128 (million)
% 6.57/2.02 % (3292603)lrs+10_1_sil=8000:sp=occurrence:random_seed=3761775506:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 6.57/2.02 % (3292602)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3214078629:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.57/2.02 % (3292602)Instruction limit reached!
% 6.57/2.02 % (3292602)------------------------------
% 6.57/2.02 % (3292602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/2.02 % (3292602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/2.02 % (3292602)CaDiCaL version: 2.1.3
% 6.57/2.02 % (3292602)Termination reason: Instruction limit
% 6.57/2.02 % (3292602)Termination phase: Saturation
% 6.57/2.02 % (3292602)Time elapsed: 0.065 s
% 6.57/2.02 % (3292602)Peak memory usage: 89 MB
% 6.57/2.02 % (3292602)Instructions burned: 116 (million)
% 6.57/2.02 % (3292605)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=88213245:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.57/2.02 % (3292605)Refutation not found, incomplete strategy
% 6.57/2.02 % (3292605)------------------------------
% 6.57/2.02 % (3292605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/2.02 % (3292605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/2.02 % (3292605)CaDiCaL version: 2.1.3
% 6.57/2.02 % (3292605)Termination reason: Refutation not found, incomplete strategy
% 6.57/2.02 % (3292605)Time elapsed: 0.003 s
% 6.57/2.02 % (3292605)Peak memory usage: 88 MB
% 6.57/2.02 % (3292605)Instructions burned: 4 (million)
% 6.57/2.02 % (3292573)First to succeed.
% 6.57/2.02 % (3292608)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2652897698:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.57/2.02 % (3292573)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3292568"
% 6.57/2.02 % (3292573)Refutation found. Thanks to Tanya!
% 6.57/2.02 % SZS status Theorem for theBenchmark
% 6.57/2.02 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/2.20 % (3292573)------------------------------
% 0.16/2.20 % (3292573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.20 % (3292573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.20 % (3292573)CaDiCaL version: 2.1.3
% 0.16/2.20 % (3292573)Termination reason: Refutation
% 0.16/2.20 % (3292573)Time elapsed: 0.862 s
% 0.16/2.20 % (3292573)Peak memory usage: 135 MB
% 0.16/2.20 % (3292573)Instructions burned: 1629 (million)
% 0.16/2.20 % (3292573)------------------------------
% 0.16/2.20 % (3292573)------------------------------
% 0.16/2.20 % (3292568)Success in time 1.166 s
% 0.16/2.20 % Vampire exiting
%------------------------------------------------------------------------------