%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU450+2 : 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 : n011.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 12:49:11 PM UTC 2026
% Result : Theorem 10.17s 3.42s
% Output : Refutation 16.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 25
% Syntax : Number of formulae : 163 ( 31 unt; 14 def)
% Number of atoms : 448 ( 54 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 522 ( 237 ~; 233 |; 17 &)
% ( 16 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 15 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-4 aty)
% Number of variables : 190 ( 0 sgn 185 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f770,axiom,
! [X0] :
( v1_relat_1(X0)
=> k4_relat_1(k4_relat_1(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k4_relat_1) ).
fof(f1120,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(f1179,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f1181,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f1196,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relset_1) ).
fof(f1198,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_relset_1) ).
fof(f4465,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(f4504,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( r1_tarski(X2,X3)
=> r1_tarski(k8_relset_2(X0,X1,X3,X4),k8_relset_2(X0,X1,X2,X4)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_relset_2) ).
fof(f4535,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X0,X1)
=> ( r1_tarski(X2,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4)))
& r1_tarski(X3,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_relset_2) ).
fof(f4536,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X0,X1)
=> ( k8_relset_2(X0,X1,X2,X4) = k8_relset_2(X0,X1,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4)),X4)
& k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)) = k8_relset_2(X1,X0,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4),k6_relset_1(X0,X1,X4)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_relset_2) ).
fof(f4537,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X0,X1)
=> ( k8_relset_2(X0,X1,X2,X4) = k8_relset_2(X0,X1,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4)),X4)
& k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)) = k8_relset_2(X1,X0,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4),k6_relset_1(X0,X1,X4)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f4536]) ).
fof(f4575,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,[],[f4465]) ).
fof(f4576,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,[],[f4575]) ).
fof(f4618,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( r1_tarski(k8_relset_2(X0,X1,X3,X4),k8_relset_2(X0,X1,X2,X4))
| ~ r1_tarski(X2,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f4504]) ).
fof(f4619,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( r1_tarski(k8_relset_2(X0,X1,X3,X4),k8_relset_2(X0,X1,X2,X4))
| ~ r1_tarski(X2,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f4618]) ).
fof(f4655,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( ( r1_tarski(X2,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4)))
& r1_tarski(X3,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4)) )
| ~ m2_relset_1(X4,X0,X1) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f4535]) ).
fof(f4656,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ( k8_relset_2(X0,X1,X2,X4) != k8_relset_2(X0,X1,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4)),X4)
| k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)) != k8_relset_2(X1,X0,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4),k6_relset_1(X0,X1,X4)) )
& m2_relset_1(X4,X0,X1) )
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f4537]) ).
fof(f4660,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1179]) ).
fof(f4661,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f1120]) ).
fof(f5267,plain,
! [X0] :
( k4_relat_1(k4_relat_1(X0)) = X0
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f770]) ).
fof(f5284,plain,
! [X0,X1,X2] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1198]) ).
fof(f5286,plain,
! [X0,X1,X2] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1196]) ).
fof(f6270,plain,
( ( k8_relset_2(sK12,sK13,sK14,sK16) != k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,sK14,sK16),k6_relset_1(sK12,sK13,sK16)),sK16)
| k8_relset_2(sK13,sK12,sK15,k6_relset_1(sK12,sK13,sK16)) != k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,sK15,k6_relset_1(sK12,sK13,sK16)),sK16),k6_relset_1(sK12,sK13,sK16)) )
& m2_relset_1(sK16,sK12,sK13)
& m1_subset_1(sK15,k1_zfmisc_1(sK13))
& m1_subset_1(sK14,k1_zfmisc_1(sK12)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15,sK16]),skolemize(X0,sK12),skolemize(X1,sK13),skolemize(X2,sK14),skolemize(X3,sK15),skolemize(X4,sK16)],[f4656]) ).
fof(f6299,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f1181]) ).
fof(f6363,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f6364,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f6363]) ).
fof(f6809,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,[],[f4576]) ).
fof(f6863,plain,
! [X2,X3,X0,X1,X4] :
( r1_tarski(k8_relset_2(X0,X1,X3,X4),k8_relset_2(X0,X1,X2,X4))
| ~ r1_tarski(X2,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f4619]) ).
fof(f6912,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X4,X0,X1)
| r1_tarski(X3,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f4655]) ).
fof(f6913,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X4,X0,X1)
| r1_tarski(X2,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f4655]) ).
fof(f6914,plain,
m1_subset_1(sK14,k1_zfmisc_1(sK12)),
inference(cnf_transformation,[],[f6270]) ).
fof(f6915,plain,
m1_subset_1(sK15,k1_zfmisc_1(sK13)),
inference(cnf_transformation,[],[f6270]) ).
fof(f6916,plain,
m2_relset_1(sK16,sK12,sK13),
inference(cnf_transformation,[],[f6270]) ).
fof(f6917,plain,
( k8_relset_2(sK12,sK13,sK14,sK16) != k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,sK14,sK16),k6_relset_1(sK12,sK13,sK16)),sK16)
| k8_relset_2(sK13,sK12,sK15,k6_relset_1(sK12,sK13,sK16)) != k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,sK15,k6_relset_1(sK12,sK13,sK16)),sK16),k6_relset_1(sK12,sK13,sK16)) ),
inference(cnf_transformation,[],[f6270]) ).
fof(f6925,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f4660]) ).
fof(f6926,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f4661]) ).
fof(f7012,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f6299]) ).
fof(f7365,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f6364]) ).
fof(f7825,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k4_relat_1(k4_relat_1(X0)) = X0 ),
inference(cnf_transformation,[],[f5267]) ).
fof(f7886,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
inference(cnf_transformation,[],[f5284]) ).
fof(f7888,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
inference(cnf_transformation,[],[f5286]) ).
fof(f10655,definition,
( spl347_19
<=> k8_relset_2(sK13,sK12,sK15,k6_relset_1(sK12,sK13,sK16)) = k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,sK15,k6_relset_1(sK12,sK13,sK16)),sK16),k6_relset_1(sK12,sK13,sK16)) ),
introduced(definition,[new_symbols(definition,[spl347_19])],[avatar_definition]) ).
fof(f10656,plain,
( k8_relset_2(sK13,sK12,sK15,k6_relset_1(sK12,sK13,sK16)) != k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,sK15,k6_relset_1(sK12,sK13,sK16)),sK16),k6_relset_1(sK12,sK13,sK16))
| spl347_19 ),
inference(avatar_component_clause,[],[f10655]) ).
fof(f10658,definition,
( spl347_20
<=> k8_relset_2(sK12,sK13,sK14,sK16) = k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,sK14,sK16),k6_relset_1(sK12,sK13,sK16)),sK16) ),
introduced(definition,[new_symbols(definition,[spl347_20])],[avatar_definition]) ).
fof(f10659,plain,
( k8_relset_2(sK12,sK13,sK14,sK16) != k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,sK14,sK16),k6_relset_1(sK12,sK13,sK16)),sK16)
| spl347_20 ),
inference(avatar_component_clause,[],[f10658]) ).
fof(f10660,plain,
( ~ spl347_19
| ~ spl347_20 ),
inference(avatar_split_clause,[],[f6917,f10658,f10655]) ).
fof(f10796,plain,
! [X0,X1] :
( r1_tarski(X0,k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,X0,sK16),k6_relset_1(sK12,sK13,sK16)))
| ~ m1_subset_1(X1,k1_zfmisc_1(sK13))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK12)) ),
inference(resolution,[],[f6913,f6916]) ).
fof(f10798,definition,
( spl347_21
<=> ! [X1] : ~ m1_subset_1(X1,k1_zfmisc_1(sK13)) ),
introduced(definition,[new_symbols(definition,[spl347_21])],[avatar_definition]) ).
fof(f10799,plain,
( ! [X1] : ~ m1_subset_1(X1,k1_zfmisc_1(sK13))
| ~ spl347_21 ),
inference(avatar_component_clause,[],[f10798]) ).
fof(f10801,definition,
( spl347_22
<=> ! [X0] :
( r1_tarski(X0,k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,X0,sK16),k6_relset_1(sK12,sK13,sK16)))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK12)) ) ),
introduced(definition,[new_symbols(definition,[spl347_22])],[avatar_definition]) ).
fof(f10802,plain,
( ! [X0] :
( r1_tarski(X0,k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,X0,sK16),k6_relset_1(sK12,sK13,sK16)))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK12)) )
| ~ spl347_22 ),
inference(avatar_component_clause,[],[f10801]) ).
fof(f10803,plain,
( spl347_21
| spl347_22 ),
inference(avatar_split_clause,[],[f10796,f10801,f10798]) ).
fof(f10804,plain,
( $false
| ~ spl347_21 ),
inference(unit_resulting_resolution,[],[f10799,f6915]) ).
fof(f10808,plain,
~ spl347_21,
inference(avatar_contradiction_clause,[],[f10804]) ).
fof(f10809,plain,
! [X0,X1] :
( r1_tarski(X0,k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,X0,k6_relset_1(sK12,sK13,sK16)),sK16))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK13))
| ~ m1_subset_1(X1,k1_zfmisc_1(sK12)) ),
inference(resolution,[],[f6912,f6916]) ).
fof(f10811,definition,
( spl347_23
<=> ! [X1] : ~ m1_subset_1(X1,k1_zfmisc_1(sK12)) ),
introduced(definition,[new_symbols(definition,[spl347_23])],[avatar_definition]) ).
fof(f10812,plain,
( ! [X1] : ~ m1_subset_1(X1,k1_zfmisc_1(sK12))
| ~ spl347_23 ),
inference(avatar_component_clause,[],[f10811]) ).
fof(f10814,definition,
( spl347_24
<=> ! [X0] :
( r1_tarski(X0,k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,X0,k6_relset_1(sK12,sK13,sK16)),sK16))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK13)) ) ),
introduced(definition,[new_symbols(definition,[spl347_24])],[avatar_definition]) ).
fof(f10815,plain,
( ! [X0] :
( r1_tarski(X0,k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,X0,k6_relset_1(sK12,sK13,sK16)),sK16))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK13)) )
| ~ spl347_24 ),
inference(avatar_component_clause,[],[f10814]) ).
fof(f10816,plain,
( spl347_23
| spl347_24 ),
inference(avatar_split_clause,[],[f10809,f10814,f10811]) ).
fof(f10817,plain,
( $false
| ~ spl347_23 ),
inference(unit_resulting_resolution,[],[f10812,f6914]) ).
fof(f10821,plain,
~ spl347_23,
inference(avatar_contradiction_clause,[],[f10817]) ).
fof(f10822,plain,
m1_relset_1(sK16,sK12,sK13),
inference(resolution,[],[f7012,f6916]) ).
fof(f10824,plain,
m2_relset_1(k6_relset_1(sK12,sK13,sK16),sK13,sK12),
inference(resolution,[],[f10822,f7888]) ).
fof(f10825,plain,
k6_relset_1(sK12,sK13,sK16) = k4_relat_1(sK16),
inference(resolution,[],[f10822,f7886]) ).
fof(f10826,plain,
m2_relset_1(k4_relat_1(sK16),sK13,sK12),
inference(forward_demodulation,[],[f10824,f10825]) ).
fof(f10828,plain,
( ! [X0] :
( r1_tarski(X0,k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,X0,k4_relat_1(sK16)),sK16))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK13)) )
| ~ spl347_24 ),
inference(superposition,[],[f10815,f10825]) ).
fof(f10829,plain,
( ! [X0] :
( r1_tarski(X0,k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,X0,sK16),k4_relat_1(sK16)))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK12)) )
| ~ spl347_22 ),
inference(superposition,[],[f10802,f10825]) ).
fof(f10830,plain,
( k8_relset_2(sK13,sK12,sK15,k4_relat_1(sK16)) != k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,sK15,k4_relat_1(sK16)),sK16),k4_relat_1(sK16))
| spl347_19 ),
inference(superposition,[],[f10656,f10825]) ).
fof(f10831,plain,
m1_relset_1(k4_relat_1(sK16),sK13,sK12),
inference(resolution,[],[f10826,f7012]) ).
fof(f10832,plain,
! [X0,X1] :
( r1_tarski(X0,k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,X0,k6_relset_1(sK13,sK12,k4_relat_1(sK16))),k4_relat_1(sK16)))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK12))
| ~ m1_subset_1(X1,k1_zfmisc_1(sK13)) ),
inference(resolution,[],[f10826,f6912]) ).
fof(f10839,definition,
( spl347_26
<=> ! [X0] :
( r1_tarski(X0,k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,X0,k6_relset_1(sK13,sK12,k4_relat_1(sK16))),k4_relat_1(sK16)))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK12)) ) ),
introduced(definition,[new_symbols(definition,[spl347_26])],[avatar_definition]) ).
fof(f10840,plain,
( ! [X0] :
( r1_tarski(X0,k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,X0,k6_relset_1(sK13,sK12,k4_relat_1(sK16))),k4_relat_1(sK16)))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK12)) )
| ~ spl347_26 ),
inference(avatar_component_clause,[],[f10839]) ).
fof(f10841,plain,
( spl347_21
| spl347_26 ),
inference(avatar_split_clause,[],[f10832,f10839,f10798]) ).
fof(f10844,plain,
k6_relset_1(sK13,sK12,k4_relat_1(sK16)) = k4_relat_1(k4_relat_1(sK16)),
inference(resolution,[],[f10831,f7886]) ).
fof(f10859,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK12))
| r1_tarski(X0,k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,X0,k4_relat_1(k4_relat_1(sK16))),k4_relat_1(sK16))) )
| ~ spl347_26 ),
inference(superposition,[],[f10840,f10844]) ).
fof(f10884,definition,
( spl347_29
<=> m1_subset_1(k4_relat_1(sK16),k1_zfmisc_1(k2_zfmisc_1(sK13,sK12))) ),
introduced(definition,[new_symbols(definition,[spl347_29])],[avatar_definition]) ).
fof(f10885,plain,
( ~ m1_subset_1(k4_relat_1(sK16),k1_zfmisc_1(k2_zfmisc_1(sK13,sK12)))
| spl347_29 ),
inference(avatar_component_clause,[],[f10884]) ).
fof(f10891,plain,
( ~ m2_relset_1(k4_relat_1(sK16),sK13,sK12)
| spl347_29 ),
inference(resolution,[],[f10885,f6925]) ).
fof(f10893,plain,
( $false
| spl347_29 ),
inference(forward_subsumption_resolution,[],[f10891,f10826]) ).
fof(f10894,plain,
spl347_29,
inference(avatar_contradiction_clause,[],[f10893]) ).
fof(f10899,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f6926,f6925]) ).
fof(f10901,plain,
v1_relat_1(sK16),
inference(resolution,[],[f10899,f6916]) ).
fof(f10994,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK13))
| k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,X0,k4_relat_1(sK16)),sK16) = X0
| ~ r1_tarski(k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,X0,k4_relat_1(sK16)),sK16),X0) )
| ~ spl347_24 ),
inference(resolution,[],[f7365,f10828]) ).
fof(f10997,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| k8_relset_2(X0,X1,X2,X3) = k8_relset_2(X0,X1,X4,X3)
| ~ r1_tarski(X2,X4)
| ~ r1_tarski(k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X4,X3))
| ~ m1_subset_1(X4,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(resolution,[],[f7365,f6863]) ).
fof(f11029,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,k8_relset_2(X0,sK13,X1,X2),k4_relat_1(sK16)),sK16),k8_relset_2(X0,sK13,X1,X2))
| k8_relset_2(X0,sK13,X1,X2) = k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,k8_relset_2(X0,sK13,X1,X2),k4_relat_1(sK16)),sK16)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,sK13))) )
| ~ spl347_24 ),
inference(resolution,[],[f10994,f6809]) ).
fof(f11051,plain,
sK16 = k4_relat_1(k4_relat_1(sK16)),
inference(resolution,[],[f7825,f10901]) ).
fof(f11063,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,X0,X1)
| ~ r1_tarski(X2,X4)
| ~ r1_tarski(k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X4,X3))
| ~ m1_subset_1(X4,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| k8_relset_2(X0,X1,X2,X3) = k8_relset_2(X0,X1,X4,X3) ),
inference(resolution,[],[f10997,f6925]) ).
fof(f11066,plain,
! [X0,X1] :
( ~ r1_tarski(k8_relset_2(sK13,sK12,X0,k4_relat_1(sK16)),k8_relset_2(sK13,sK12,X1,k4_relat_1(sK16)))
| ~ r1_tarski(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(sK13))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK13))
| k8_relset_2(sK13,sK12,X0,k4_relat_1(sK16)) = k8_relset_2(sK13,sK12,X1,k4_relat_1(sK16)) ),
inference(resolution,[],[f11063,f10826]) ).
fof(f11083,plain,
( ! [X2,X0,X1] :
( r1_tarski(k8_relset_2(X0,sK12,X1,X2),k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,k8_relset_2(X0,sK12,X1,X2),k4_relat_1(k4_relat_1(sK16))),k4_relat_1(sK16)))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,sK12))) )
| ~ spl347_26 ),
inference(resolution,[],[f10859,f6809]) ).
fof(f11086,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,sK12)))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| r1_tarski(k8_relset_2(X0,sK12,X1,X2),k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,k8_relset_2(X0,sK12,X1,X2),sK16),k4_relat_1(sK16))) )
| ~ spl347_26 ),
inference(forward_demodulation,[],[f11083,f11051]) ).
fof(f11280,plain,
( ! [X0] :
( k8_relset_2(sK12,sK13,X0,sK16) = k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,X0,sK16),k4_relat_1(sK16)),sK16)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK12))
| ~ m1_subset_1(sK16,k1_zfmisc_1(k2_zfmisc_1(sK12,sK13)))
| ~ r1_tarski(X0,k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,X0,sK16),k4_relat_1(sK16)))
| ~ m1_subset_1(sK16,k1_zfmisc_1(k2_zfmisc_1(sK12,sK13)))
| ~ m1_subset_1(k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,X0,sK16),k4_relat_1(sK16)),k1_zfmisc_1(sK12))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK12)) )
| ~ spl347_24 ),
inference(resolution,[],[f11029,f6863]) ).
fof(f11282,plain,
( ! [X0] :
( k8_relset_2(sK12,sK13,X0,sK16) = k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,X0,sK16),k4_relat_1(sK16)),sK16)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK12))
| ~ m1_subset_1(sK16,k1_zfmisc_1(k2_zfmisc_1(sK12,sK13)))
| ~ r1_tarski(X0,k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,X0,sK16),k4_relat_1(sK16)))
| ~ m1_subset_1(k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,X0,sK16),k4_relat_1(sK16)),k1_zfmisc_1(sK12)) )
| ~ spl347_24 ),
inference(duplicate_literal_removal,[],[f11280]) ).
fof(f11283,plain,
( ! [X0] :
( k8_relset_2(sK12,sK13,X0,sK16) = k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,X0,sK16),k4_relat_1(sK16)),sK16)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK12))
| ~ m1_subset_1(sK16,k1_zfmisc_1(k2_zfmisc_1(sK12,sK13)))
| ~ m1_subset_1(k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,X0,sK16),k4_relat_1(sK16)),k1_zfmisc_1(sK12)) )
| ~ spl347_22
| ~ spl347_24 ),
inference(forward_subsumption_resolution,[],[f11282,f10829]) ).
fof(f11285,definition,
( spl347_57
<=> m1_subset_1(sK16,k1_zfmisc_1(k2_zfmisc_1(sK12,sK13))) ),
introduced(definition,[new_symbols(definition,[spl347_57])],[avatar_definition]) ).
fof(f11286,plain,
( ~ m1_subset_1(sK16,k1_zfmisc_1(k2_zfmisc_1(sK12,sK13)))
| spl347_57 ),
inference(avatar_component_clause,[],[f11285]) ).
fof(f11288,definition,
( spl347_58
<=> ! [X0] :
( k8_relset_2(sK12,sK13,X0,sK16) = k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,X0,sK16),k4_relat_1(sK16)),sK16)
| ~ m1_subset_1(k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,X0,sK16),k4_relat_1(sK16)),k1_zfmisc_1(sK12))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK12)) ) ),
introduced(definition,[new_symbols(definition,[spl347_58])],[avatar_definition]) ).
fof(f11289,plain,
( ! [X0] :
( ~ m1_subset_1(k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,X0,sK16),k4_relat_1(sK16)),k1_zfmisc_1(sK12))
| k8_relset_2(sK12,sK13,X0,sK16) = k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,X0,sK16),k4_relat_1(sK16)),sK16)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK12)) )
| ~ spl347_58 ),
inference(avatar_component_clause,[],[f11288]) ).
fof(f11290,plain,
( ~ spl347_57
| spl347_58
| ~ spl347_22
| ~ spl347_24 ),
inference(avatar_split_clause,[],[f11283,f10814,f10801,f11288,f11285]) ).
fof(f11292,plain,
( ~ m2_relset_1(sK16,sK12,sK13)
| spl347_57 ),
inference(resolution,[],[f11286,f6925]) ).
fof(f11294,plain,
( $false
| spl347_57 ),
inference(forward_subsumption_resolution,[],[f11292,f6916]) ).
fof(f11295,plain,
spl347_57,
inference(avatar_contradiction_clause,[],[f11294]) ).
fof(f11296,plain,
( ! [X0] :
( k8_relset_2(sK12,sK13,X0,sK16) = k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,X0,sK16),k4_relat_1(sK16)),sK16)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK12))
| ~ m1_subset_1(k8_relset_2(sK12,sK13,X0,sK16),k1_zfmisc_1(sK13))
| ~ m1_subset_1(k4_relat_1(sK16),k1_zfmisc_1(k2_zfmisc_1(sK13,sK12))) )
| ~ spl347_58 ),
inference(resolution,[],[f11289,f6809]) ).
fof(f11298,definition,
( spl347_59
<=> ! [X0] :
( k8_relset_2(sK12,sK13,X0,sK16) = k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,X0,sK16),k4_relat_1(sK16)),sK16)
| ~ m1_subset_1(k8_relset_2(sK12,sK13,X0,sK16),k1_zfmisc_1(sK13))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK12)) ) ),
introduced(definition,[new_symbols(definition,[spl347_59])],[avatar_definition]) ).
fof(f11299,plain,
( ! [X0] :
( ~ m1_subset_1(k8_relset_2(sK12,sK13,X0,sK16),k1_zfmisc_1(sK13))
| k8_relset_2(sK12,sK13,X0,sK16) = k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,X0,sK16),k4_relat_1(sK16)),sK16)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK12)) )
| ~ spl347_59 ),
inference(avatar_component_clause,[],[f11298]) ).
fof(f11300,plain,
( ~ spl347_29
| spl347_59
| ~ spl347_58 ),
inference(avatar_split_clause,[],[f11296,f11288,f11298,f10884]) ).
fof(f11301,plain,
( ! [X0] :
( k8_relset_2(sK12,sK13,X0,sK16) = k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,X0,sK16),k4_relat_1(sK16)),sK16)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK12))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK12))
| ~ m1_subset_1(sK16,k1_zfmisc_1(k2_zfmisc_1(sK12,sK13))) )
| ~ spl347_59 ),
inference(resolution,[],[f11299,f6809]) ).
fof(f11302,plain,
( ! [X0] :
( k8_relset_2(sK12,sK13,X0,sK16) = k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,X0,sK16),k4_relat_1(sK16)),sK16)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK12))
| ~ m1_subset_1(sK16,k1_zfmisc_1(k2_zfmisc_1(sK12,sK13))) )
| ~ spl347_59 ),
inference(duplicate_literal_removal,[],[f11301]) ).
fof(f11304,definition,
( spl347_60
<=> ! [X0] :
( k8_relset_2(sK12,sK13,X0,sK16) = k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,X0,sK16),k4_relat_1(sK16)),sK16)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK12)) ) ),
introduced(definition,[new_symbols(definition,[spl347_60])],[avatar_definition]) ).
fof(f11305,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK12))
| k8_relset_2(sK12,sK13,X0,sK16) = k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,X0,sK16),k4_relat_1(sK16)),sK16) )
| ~ spl347_60 ),
inference(avatar_component_clause,[],[f11304]) ).
fof(f11306,plain,
( ~ spl347_57
| spl347_60
| ~ spl347_59 ),
inference(avatar_split_clause,[],[f11302,f11298,f11304,f11285]) ).
fof(f11309,plain,
( k8_relset_2(sK12,sK13,sK14,sK16) = k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,sK14,sK16),k4_relat_1(sK16)),sK16)
| ~ spl347_60 ),
inference(resolution,[],[f11305,f6914]) ).
fof(f11484,definition,
( spl347_76
<=> m1_subset_1(k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,sK15,k4_relat_1(sK16)),sK16),k1_zfmisc_1(sK13)) ),
introduced(definition,[new_symbols(definition,[spl347_76])],[avatar_definition]) ).
fof(f11485,plain,
( m1_subset_1(k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,sK15,k4_relat_1(sK16)),sK16),k1_zfmisc_1(sK13))
| ~ spl347_76 ),
inference(avatar_component_clause,[],[f11484]) ).
fof(f11520,plain,
( ~ m1_subset_1(k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,sK15,k4_relat_1(sK16)),sK16),k1_zfmisc_1(sK13))
| spl347_76 ),
inference(avatar_component_clause,[],[f11484]) ).
fof(f11522,plain,
( ~ m1_subset_1(k8_relset_2(sK13,sK12,sK15,k4_relat_1(sK16)),k1_zfmisc_1(sK12))
| ~ m1_subset_1(sK16,k1_zfmisc_1(k2_zfmisc_1(sK12,sK13)))
| spl347_76 ),
inference(resolution,[],[f11520,f6809]) ).
fof(f11524,definition,
( spl347_85
<=> m1_subset_1(k8_relset_2(sK13,sK12,sK15,k4_relat_1(sK16)),k1_zfmisc_1(sK12)) ),
introduced(definition,[new_symbols(definition,[spl347_85])],[avatar_definition]) ).
fof(f11525,plain,
( ~ m1_subset_1(k8_relset_2(sK13,sK12,sK15,k4_relat_1(sK16)),k1_zfmisc_1(sK12))
| spl347_85 ),
inference(avatar_component_clause,[],[f11524]) ).
fof(f11526,plain,
( ~ spl347_57
| ~ spl347_85
| spl347_76 ),
inference(avatar_split_clause,[],[f11522,f11484,f11524,f11285]) ).
fof(f11527,plain,
( ~ m1_subset_1(sK15,k1_zfmisc_1(sK13))
| ~ m1_subset_1(k4_relat_1(sK16),k1_zfmisc_1(k2_zfmisc_1(sK13,sK12)))
| spl347_85 ),
inference(resolution,[],[f11525,f6809]) ).
fof(f11528,plain,
( ~ m1_subset_1(k4_relat_1(sK16),k1_zfmisc_1(k2_zfmisc_1(sK13,sK12)))
| spl347_85 ),
inference(forward_subsumption_resolution,[],[f11527,f6915]) ).
fof(f11529,plain,
( ~ spl347_29
| spl347_85 ),
inference(avatar_split_clause,[],[f11528,f11524,f10884]) ).
fof(f13388,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,X1,sK12)
| r1_tarski(k8_relset_2(X1,sK12,X0,X2),k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,k8_relset_2(X1,sK12,X0,X2),sK16),k4_relat_1(sK16)))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) )
| ~ spl347_26 ),
inference(resolution,[],[f11086,f6925]) ).
fof(f13394,plain,
( ! [X0] :
( r1_tarski(k8_relset_2(sK13,sK12,X0,k4_relat_1(sK16)),k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,X0,k4_relat_1(sK16)),sK16),k4_relat_1(sK16)))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK13)) )
| ~ spl347_26 ),
inference(resolution,[],[f13388,f10826]) ).
fof(f13449,plain,
( ! [X0] :
( ~ r1_tarski(X0,k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,X0,k4_relat_1(sK16)),sK16))
| ~ m1_subset_1(k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,X0,k4_relat_1(sK16)),sK16),k1_zfmisc_1(sK13))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK13))
| k8_relset_2(sK13,sK12,X0,k4_relat_1(sK16)) = k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,X0,k4_relat_1(sK16)),sK16),k4_relat_1(sK16))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK13)) )
| ~ spl347_26 ),
inference(resolution,[],[f11066,f13394]) ).
fof(f13460,plain,
( ! [X0] :
( ~ r1_tarski(X0,k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,X0,k4_relat_1(sK16)),sK16))
| ~ m1_subset_1(k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,X0,k4_relat_1(sK16)),sK16),k1_zfmisc_1(sK13))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK13))
| k8_relset_2(sK13,sK12,X0,k4_relat_1(sK16)) = k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,X0,k4_relat_1(sK16)),sK16),k4_relat_1(sK16)) )
| ~ spl347_26 ),
inference(duplicate_literal_removal,[],[f13449]) ).
fof(f13467,plain,
( ! [X0] :
( ~ m1_subset_1(k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,X0,k4_relat_1(sK16)),sK16),k1_zfmisc_1(sK13))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK13))
| k8_relset_2(sK13,sK12,X0,k4_relat_1(sK16)) = k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,X0,k4_relat_1(sK16)),sK16),k4_relat_1(sK16)) )
| ~ spl347_24
| ~ spl347_26 ),
inference(forward_subsumption_resolution,[],[f13460,f10828]) ).
fof(f13495,plain,
( ~ m1_subset_1(sK15,k1_zfmisc_1(sK13))
| k8_relset_2(sK13,sK12,sK15,k4_relat_1(sK16)) = k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,sK15,k4_relat_1(sK16)),sK16),k4_relat_1(sK16))
| ~ spl347_24
| ~ spl347_26
| ~ spl347_76 ),
inference(resolution,[],[f13467,f11485]) ).
fof(f13504,plain,
( k8_relset_2(sK13,sK12,sK15,k4_relat_1(sK16)) = k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,sK15,k4_relat_1(sK16)),sK16),k4_relat_1(sK16))
| ~ spl347_24
| ~ spl347_26
| ~ spl347_76 ),
inference(forward_subsumption_resolution,[],[f13495,f6915]) ).
fof(f13505,plain,
( $false
| spl347_19
| ~ spl347_24
| ~ spl347_26
| ~ spl347_76 ),
inference(forward_subsumption_resolution,[],[f13504,f10830]) ).
fof(f13506,plain,
( spl347_19
| ~ spl347_24
| ~ spl347_26
| ~ spl347_76 ),
inference(avatar_contradiction_clause,[],[f13505]) ).
fof(f13507,plain,
( k8_relset_2(sK12,sK13,sK14,sK16) != k8_relset_2(sK12,sK13,k8_relset_2(sK13,sK12,k8_relset_2(sK12,sK13,sK14,sK16),k4_relat_1(sK16)),sK16)
| spl347_20 ),
inference(forward_demodulation,[],[f10659,f10825]) ).
fof(f13508,plain,
( $false
| spl347_20
| ~ spl347_60 ),
inference(forward_subsumption_resolution,[],[f13507,f11309]) ).
fof(f13509,plain,
( spl347_20
| ~ spl347_60 ),
inference(avatar_contradiction_clause,[],[f13508]) ).
cnf(s11,plain,
( ~ spl347_19
| ~ spl347_20 ),
inference(sat_conversion,[],[f10660]) ).
cnf(s16,plain,
( spl347_21
| spl347_22 ),
inference(sat_conversion,[],[f10803]) ).
cnf(s18,plain,
~ spl347_21,
inference(sat_conversion,[],[f10808]) ).
cnf(s19,plain,
( spl347_23
| spl347_24 ),
inference(sat_conversion,[],[f10816]) ).
cnf(s21,plain,
~ spl347_23,
inference(sat_conversion,[],[f10821]) ).
cnf(s23,plain,
( spl347_21
| spl347_26 ),
inference(sat_conversion,[],[f10841]) ).
cnf(s28,plain,
spl347_29,
inference(sat_conversion,[],[f10894]) ).
cnf(s46,plain,
( ~ spl347_22
| ~ spl347_24
| ~ spl347_57
| spl347_58 ),
inference(sat_conversion,[],[f11290]) ).
cnf(s48,plain,
spl347_57,
inference(sat_conversion,[],[f11295]) ).
cnf(s49,plain,
( ~ spl347_29
| ~ spl347_58
| spl347_59 ),
inference(sat_conversion,[],[f11300]) ).
cnf(s50,plain,
( ~ spl347_57
| ~ spl347_59
| spl347_60 ),
inference(sat_conversion,[],[f11306]) ).
cnf(s76,plain,
( ~ spl347_57
| spl347_76
| ~ spl347_85 ),
inference(sat_conversion,[],[f11526]) ).
cnf(s77,plain,
( ~ spl347_29
| spl347_85 ),
inference(sat_conversion,[],[f11529]) ).
cnf(s252,plain,
( spl347_19
| ~ spl347_24
| ~ spl347_26
| ~ spl347_76 ),
inference(sat_conversion,[],[f13506]) ).
cnf(s253,plain,
( spl347_20
| ~ spl347_60 ),
inference(sat_conversion,[],[f13509]) ).
cnf(s291,plain,
( ~ spl347_22
| ~ spl347_24
| spl347_58 ),
inference(rat,[],[s46,s48]) ).
cnf(s301,plain,
spl347_85,
inference(rat,[],[s77,s28]) ).
cnf(s306,plain,
spl347_76,
inference(rat,[],[s76,s48,s301]) ).
cnf(s320,plain,
spl347_24,
inference(rat,[],[s19,s21]) ).
cnf(s322,plain,
spl347_26,
inference(rat,[],[s23,s18]) ).
cnf(s324,plain,
spl347_19,
inference(rat,[],[s252,s306,s320,s322]) ).
cnf(s325,plain,
spl347_22,
inference(rat,[],[s16,s18]) ).
cnf(s326,plain,
spl347_58,
inference(rat,[],[s291,s320,s325]) ).
cnf(s327,plain,
spl347_59,
inference(rat,[],[s49,s28,s326]) ).
cnf(s328,plain,
spl347_60,
inference(rat,[],[s50,s48,s327]) ).
cnf(s329,plain,
spl347_20,
inference(rat,[],[s253,s328]) ).
cnf(s370,plain,
$false,
inference(rat,[],[s11,s329,s324]) ).
fof(f13510,plain,
$false,
inference(avatar_sat_refutation,[],[s370]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU450+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 % Computer : n011.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 28 05:37:01 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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
% 13.75/3.03 % (3106402)Detected formulas, will run a generic FOF schedule.
% 13.75/3.03 % (3106410)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=4167442537:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 13.75/3.03 % (3106414)dis-21_1_sil=8000:lcm=predicate:random_seed=1186921961:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 13.75/3.03 % (3106408)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=3950123931:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 13.75/3.03 % (3106413)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1968264075:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 13.75/3.03 % (3106411)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2970632247:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 13.75/3.03 % (3106409)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=4095980005:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 13.75/3.03 % (3106412)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2268559079:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 13.75/3.03 % (3106414)Instruction limit reached!
% 13.75/3.03 % (3106414)------------------------------
% 13.75/3.03 % (3106414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.75/3.03 % (3106414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.75/3.03 % (3106414)CaDiCaL version: 2.1.3
% 13.75/3.03 % (3106414)Termination reason: Instruction limit
% 13.75/3.03 % (3106414)Termination phase: Preprocessing 3
% 13.75/3.03 % (3106414)Time elapsed: 0.111 s
% 13.75/3.03 % (3106414)Peak memory usage: 95 MB
% 13.75/3.03 % (3106414)Instructions burned: 129 (million)
% 13.75/3.03 % (3106413)Instruction limit reached!
% 13.75/3.03 % (3106413)------------------------------
% 13.75/3.03 % (3106413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.75/3.03 % (3106413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.75/3.03 % (3106413)CaDiCaL version: 2.1.3
% 13.75/3.03 % (3106413)Termination reason: Instruction limit
% 13.75/3.03 % (3106413)Termination phase: Preprocessing 3
% 13.75/3.03 % (3106413)Time elapsed: 0.088 s
% 13.75/3.03 % (3106413)Peak memory usage: 94 MB
% 13.75/3.03 % (3106413)Instructions burned: 140 (million)
% 13.75/3.03 % (3106411)Instruction limit reached!
% 13.75/3.03 % (3106411)------------------------------
% 13.75/3.03 % (3106411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.75/3.03 % (3106411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.75/3.03 % (3106411)CaDiCaL version: 2.1.3
% 13.75/3.03 % (3106411)Termination reason: Instruction limit
% 13.75/3.03 % (3106411)Termination phase: Saturation
% 13.75/3.03 % (3106411)Time elapsed: 0.095 s
% 13.75/3.03 % (3106411)Peak memory usage: 94 MB
% 13.75/3.03 % (3106411)Instructions burned: 110 (million)
% 13.75/3.03 % (3106412)Instruction limit reached!
% 13.75/3.03 % (3106412)------------------------------
% 13.75/3.03 % (3106412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.75/3.03 % (3106412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.75/3.03 % (3106412)CaDiCaL version: 2.1.3
% 13.75/3.03 % (3106412)Termination reason: Instruction limit
% 13.75/3.03 % (3106412)Termination phase: Saturation
% 13.75/3.03 % (3106412)Time elapsed: 0.106 s
% 13.75/3.03 % (3106412)Peak memory usage: 94 MB
% 13.75/3.03 % (3106412)Instructions burned: 119 (million)
% 13.75/3.03 % (3106422)lrs+10_1_sil=8000:sp=occurrence:random_seed=3414518523:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 13.75/3.03 % (3106423)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3480067106:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/157Mi)
% 13.75/3.03 % (3106424)lrs+1011_1_sil=32000:sp=occurrence:random_seed=481875501:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 13.75/3.03 % (3106425)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=1669009458:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 13.75/3.03 % (3106423)Instruction limit reached!
% 10.17/3.42 % (3106423)------------------------------
% 10.17/3.42 % (3106423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/3.42 % (3106423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/3.42 % (3106423)CaDiCaL version: 2.1.3
% 10.17/3.42 % (3106423)Termination reason: Instruction limit
% 10.17/3.42 % (3106423)Termination phase: Saturation
% 10.17/3.42 % (3106423)Time elapsed: 0.086 s
% 10.17/3.42 % (3106423)Peak memory usage: 95 MB
% 10.17/3.42 % (3106423)Instructions burned: 158 (million)
% 10.17/3.42 % (3106422)Instruction limit reached!
% 10.17/3.42 % (3106422)------------------------------
% 10.17/3.42 % (3106422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/3.42 % (3106422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/3.42 % (3106422)CaDiCaL version: 2.1.3
% 10.17/3.42 % (3106422)Termination reason: Instruction limit
% 10.17/3.42 % (3106422)Termination phase: Saturation
% 10.17/3.42 % (3106422)Time elapsed: 0.154 s
% 10.17/3.42 % (3106422)Peak memory usage: 97 MB
% 10.17/3.42 % (3106422)Instructions burned: 287 (million)
% 10.17/3.42 % (3106425)Instruction limit reached!
% 10.17/3.42 % (3106425)------------------------------
% 10.17/3.42 % (3106425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/3.42 % (3106425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/3.42 % (3106425)CaDiCaL version: 2.1.3
% 10.17/3.42 % (3106425)Termination reason: Instruction limit
% 10.17/3.42 % (3106425)Termination phase: Property scanning
% 10.17/3.42 % (3106425)Time elapsed: 0.144 s
% 10.17/3.42 % (3106425)Peak memory usage: 99 MB
% 10.17/3.42 % (3106425)Instructions burned: 248 (million)
% 10.17/3.42 % (3106430)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=658077844:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 10.17/3.42 % (3106431)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2415318504:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 10.17/3.42 % (3106424)Instruction limit reached!
% 10.17/3.42 % (3106424)------------------------------
% 10.17/3.42 % (3106424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/3.42 % (3106424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/3.42 % (3106424)CaDiCaL version: 2.1.3
% 10.17/3.42 % (3106424)Termination reason: Instruction limit
% 10.17/3.42 % (3106424)Termination phase: Saturation
% 10.17/3.42 % (3106424)Time elapsed: 0.230 s
% 10.17/3.42 % (3106424)Peak memory usage: 96 MB
% 10.17/3.42 % (3106424)Instructions burned: 325 (million)
% 10.17/3.42 % (3106451)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1521204464:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 10.17/3.42 % (3106478)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2907449885:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 10.17/3.42 % (3106430)Instruction limit reached!
% 10.17/3.42 % (3106430)------------------------------
% 10.17/3.42 % (3106430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/3.42 % (3106430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/3.42 % (3106430)CaDiCaL version: 2.1.3
% 10.17/3.42 % (3106430)Termination reason: Instruction limit
% 10.17/3.42 % (3106430)Termination phase: Saturation
% 10.17/3.42 % (3106430)Time elapsed: 0.176 s
% 10.17/3.42 % (3106430)Peak memory usage: 97 MB
% 10.17/3.42 % (3106430)Instructions burned: 294 (million)
% 10.17/3.42 % (3106451)Instruction limit reached!
% 10.17/3.42 % (3106451)------------------------------
% 10.17/3.42 % (3106451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/3.42 % (3106451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/3.42 % (3106451)CaDiCaL version: 2.1.3
% 10.17/3.42 % (3106451)Termination reason: Instruction limit
% 10.17/3.42 % (3106451)Termination phase: Saturation
% 10.17/3.42 % (3106451)Time elapsed: 0.070 s
% 10.17/3.42 % (3106451)Peak memory usage: 95 MB
% 10.17/3.42 % (3106451)Instructions burned: 114 (million)
% 10.17/3.42 % (3106478)Instruction limit reached!
% 10.17/3.42 % (3106478)------------------------------
% 10.17/3.42 % (3106478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/3.42 % (3106478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/3.42 % (3106478)CaDiCaL version: 2.1.3
% 10.17/3.42 % (3106478)Termination reason: Instruction limit
% 10.17/3.42 % (3106478)Termination phase: Preprocessing 3
% 10.17/3.42 % (3106478)Time elapsed: 0.089 s
% 10.17/3.42 % (3106478)Peak memory usage: 96 MB
% 10.17/3.42 % (3106478)Instructions burned: 128 (million)
% 10.17/3.42 % (3106535)lrs+10_1_sil=8000:sp=occurrence:random_seed=3028445535:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 10.17/3.42 % (3106534)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2198325549:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 10.17/3.42 % (3106534)Instruction limit reached!
% 10.17/3.42 % (3106534)------------------------------
% 10.17/3.42 % (3106534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/3.42 % (3106534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/3.42 % (3106534)CaDiCaL version: 2.1.3
% 10.17/3.42 % (3106534)Termination reason: Instruction limit
% 10.17/3.42 % (3106534)Termination phase: SInE selection
% 10.17/3.42 % (3106534)Time elapsed: 0.054 s
% 10.17/3.42 % (3106534)Peak memory usage: 89 MB
% 10.17/3.42 % (3106534)Instructions burned: 114 (million)
% 10.17/3.42 % (3106547)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1396729881:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 10.17/3.42 % (3106579)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2765249031:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 10.17/3.42 % (3106547)Instruction limit reached!
% 10.17/3.42 % (3106547)------------------------------
% 10.17/3.42 % (3106547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/3.42 % (3106547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/3.42 % (3106547)CaDiCaL version: 2.1.3
% 10.17/3.42 % (3106547)Termination reason: Instruction limit
% 10.17/3.42 % (3106547)Termination phase: Saturation
% 10.17/3.42 % (3106547)Time elapsed: 0.278 s
% 10.17/3.42 % (3106547)Peak memory usage: 98 MB
% 10.17/3.42 % (3106547)Instructions burned: 438 (million)
% 10.17/3.42 % (3106600)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2043691746:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2983 on theBenchmark for (2983ds/134Mi)
% 10.17/3.42 % (3106431)Instruction limit reached!
% 10.17/3.42 % (3106431)------------------------------
% 10.17/3.42 % (3106431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/3.42 % (3106431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/3.42 % (3106431)CaDiCaL version: 2.1.3
% 10.17/3.42 % (3106431)Termination reason: Instruction limit
% 10.17/3.42 % (3106431)Termination phase: Saturation
% 10.17/3.42 % (3106431)Time elapsed: 0.901 s
% 10.17/3.42 % (3106431)Peak memory usage: 201 MB
% 10.17/3.42 % (3106431)Instructions burned: 2352 (million)
% 10.17/3.42 % (3106535)Instruction limit reached!
% 10.17/3.42 % (3106535)------------------------------
% 10.17/3.42 % (3106535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/3.42 % (3106535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/3.42 % (3106535)CaDiCaL version: 2.1.3
% 10.17/3.42 % (3106535)Termination reason: Instruction limit
% 10.17/3.42 % (3106535)Termination phase: Saturation
% 10.17/3.42 % (3106535)Time elapsed: 0.614 s
% 10.17/3.42 % (3106535)Peak memory usage: 105 MB
% 10.17/3.42 % (3106535)Instructions burned: 908 (million)
% 10.17/3.42 % (3106600)Instruction limit reached!
% 10.17/3.42 % (3106600)------------------------------
% 10.17/3.42 % (3106600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/3.42 % (3106600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/3.42 % (3106600)CaDiCaL version: 2.1.3
% 10.17/3.42 % (3106600)Termination reason: Instruction limit
% 10.17/3.42 % (3106600)Termination phase: Saturation
% 10.17/3.42 % (3106600)Time elapsed: 0.082 s
% 10.17/3.42 % (3106600)Peak memory usage: 96 MB
% 10.17/3.42 % (3106600)Instructions burned: 134 (million)
% 10.17/3.42 % (3106602)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=86029504:st=8:i=592:sd=3:ep=RST:ss=axioms_2981 on theBenchmark for (2981ds/592Mi)
% 10.17/3.42 % (3106603)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=227283126:st=3:i=13193:sd=3:ss=axioms_2980 on theBenchmark for (2980ds/13193Mi)
% 10.17/3.42 % (3106604)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=577409765:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/125Mi)
% 10.17/3.42 % (3106604)Instruction limit reached!
% 10.17/3.42 % (3106604)------------------------------
% 10.17/3.42 % (3106604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/3.42 % (3106604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/3.42 % (3106604)CaDiCaL version: 2.1.3
% 10.17/3.42 % (3106604)Termination reason: Instruction limit
% 10.17/3.42 % (3106604)Termination phase: General splitting
% 10.17/3.42 % (3106604)Time elapsed: 0.072 s
% 10.17/3.42 % (3106604)Peak memory usage: 92 MB
% 10.17/3.42 % (3106604)Instructions burned: 127 (million)
% 10.17/3.42 % (3106409)First to succeed.
% 10.17/3.42 % (3106409)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3106402"
% 10.17/3.42 % (3106602)Instruction limit reached!
% 10.17/3.42 % (3106602)------------------------------
% 10.17/3.42 % (3106602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/3.42 % (3106602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/3.42 % (3106602)CaDiCaL version: 2.1.3
% 10.17/3.42 % (3106602)Termination reason: Instruction limit
% 10.17/3.42 % (3106602)Termination phase: Saturation
% 10.17/3.42 % (3106602)Time elapsed: 0.180 s
% 10.17/3.42 % (3106602)Peak memory usage: 106 MB
% 10.17/3.42 % (3106602)Instructions burned: 594 (million)
% 10.17/3.42 % (3106608)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3533303527:i=134:gtgl=5:slsql=off:gtg=exists_sym_2978 on theBenchmark for (2978ds/134Mi)
% 10.17/3.42 % (3106609)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1850203138:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 10.17/3.42 % (3106609)Instruction limit reached!
% 10.17/3.42 % (3106609)------------------------------
% 10.17/3.42 % (3106609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/3.42 % (3106609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/3.42 % (3106609)CaDiCaL version: 2.1.3
% 10.17/3.42 % (3106609)Termination reason: Instruction limit
% 10.17/3.42 % (3106609)Termination phase: Saturation
% 10.17/3.42 % (3106609)Time elapsed: 0.051 s
% 10.17/3.42 % (3106609)Peak memory usage: 95 MB
% 10.17/3.42 % (3106609)Instructions burned: 143 (million)
% 10.17/3.42 % (3106608)Instruction limit reached!
% 10.17/3.42 % (3106608)------------------------------
% 10.17/3.42 % (3106608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/3.42 % (3106608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/3.42 % (3106608)CaDiCaL version: 2.1.3
% 10.17/3.42 % (3106608)Termination reason: Instruction limit
% 10.17/3.42 % (3106608)Termination phase: Preprocessing 1
% 10.17/3.42 % (3106608)Time elapsed: 0.068 s
% 10.17/3.42 % (3106608)Peak memory usage: 90 MB
% 10.17/3.42 % (3106608)Instructions burned: 134 (million)
% 10.17/3.42 % (3106409)Refutation found. Thanks to Tanya!
% 10.17/3.42 % SZS status Theorem for theBenchmark
% 10.17/3.42 % SZS output start Proof for theBenchmark
% See solution above
% 16.67/3.62 % (3106409)------------------------------
% 16.67/3.62 % (3106409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.67/3.62 % (3106409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.67/3.62 % (3106409)CaDiCaL version: 2.1.3
% 16.67/3.62 % (3106409)Termination reason: Refutation
% 16.67/3.62 % (3106409)Time elapsed: 1.662 s
% 16.67/3.62 % (3106409)Peak memory usage: 168 MB
% 16.67/3.62 % (3106409)Instructions burned: 2596 (million)
% 16.67/3.62 % (3106409)------------------------------
% 16.67/3.62 % (3106409)------------------------------
% 16.67/3.62 % (3106402)Success in time 2.478 s
% 16.67/3.62 % Vampire exiting
%------------------------------------------------------------------------------