%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP619+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 10:15:01 AM UTC 2026
% Result : Theorem 30.96s 6.59s
% Output : Refutation 36.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 21
% Syntax : Number of formulae : 133 ( 31 unt; 6 def)
% Number of atoms : 411 ( 22 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 450 ( 172 ~; 210 |; 45 &)
% ( 11 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 23 ( 21 usr; 7 prp; 0-4 aty)
% Number of functors : 15 ( 15 usr; 1 con; 0-2 aty)
% Number of variables : 161 ( 0 sgn 157 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f258,axiom,
! [X0] : k2_tarski(X0,X0) = k1_tarski(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f675,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f1828,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,X0,X0)
& m2_relset_1(X1,X0,X0) )
=> r2_hidden(X1,k1_funct_2(X0,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_funct_2) ).
fof(f2371,axiom,
! [X0,X1] : k2_funcop_1(X0,X1) = k2_zfmisc_1(X0,k1_tarski(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_funcop_1) ).
fof(f2935,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_fraenkel(X2,X0,X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
=> ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_fraenkel) ).
fof(f2937,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_fraenkel(X2,X0,X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
fof(f2939,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X1)
=> k1_fraenkel(X0,X1) = k1_funct_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_fraenkel) ).
fof(f3681,axiom,
! [X0,X1] : k10_finseq_1(X0,X1) = k7_finseq_1(k9_finseq_1(X0),k9_finseq_1(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_finseq_1) ).
fof(f4287,axiom,
! [X0,X1] : k2_relat_1(k10_finseq_1(X0,X1)) = k2_tarski(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t147_finseq_2) ).
fof(f4447,axiom,
! [X0,X1] : k1_funct_2(X0,X1) = k4_card_3(k2_funcop_1(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_card_3) ).
fof(f6422,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f7466,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f12867,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_autgroup) ).
fof(f12878,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> r1_tarski(k1_autgroup(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_autgroup) ).
fof(f12879,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> r1_tarski(k1_autgroup(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0))) ),
inference(negated_conjecture,[status(cth)],[f12878]) ).
fof(f12919,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f12867]) ).
fof(f12920,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f12919]) ).
fof(f12939,plain,
? [X0] :
( ~ r1_tarski(k1_autgroup(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0)))
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f12879]) ).
fof(f12940,plain,
? [X0] :
( ~ r1_tarski(k1_autgroup(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0)))
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f12939]) ).
fof(f12942,plain,
! [X0,X1,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f2937]) ).
fof(f12943,plain,
! [X0,X1,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(flattening,[],[f12942]) ).
fof(f12946,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) )
| ~ m2_fraenkel(X3,X0,X1,X2) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f2935]) ).
fof(f12947,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) )
| ~ m2_fraenkel(X3,X0,X1,X2) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(flattening,[],[f12946]) ).
fof(f13050,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f675]) ).
fof(f13140,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f13141,plain,
! [X0,X1] :
( k1_fraenkel(X0,X1) = k1_funct_2(X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f2939]) ).
fof(f13176,plain,
! [X0,X1] :
( r2_hidden(X1,k1_funct_2(X0,X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X0,X0)
| ~ m2_relset_1(X1,X0,X0) ),
inference(ennf_transformation,[],[f1828]) ).
fof(f13177,plain,
! [X0,X1] :
( r2_hidden(X1,k1_funct_2(X0,X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X0,X0)
| ~ m2_relset_1(X1,X0,X0) ),
inference(flattening,[],[f13176]) ).
fof(f13860,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f7466]) ).
fof(f13869,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f6422]) ).
fof(f13870,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f13869]) ).
fof(f16192,plain,
( ~ r1_tarski(k1_autgroup(sK24),k1_fraenkel(u1_struct_0(sK24),u1_struct_0(sK24)))
& ~ v3_struct_0(sK24)
& v1_group_1(sK24)
& v3_group_1(sK24)
& v4_group_1(sK24)
& l1_group_1(sK24) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(X0,sK24)],[f12940]) ).
fof(f16193,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2) )
& ( m1_subset_1(X3,X2)
| ~ m2_fraenkel(X3,X0,X1,X2) ) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(nnf_transformation,[],[f12943]) ).
fof(f16254,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,[],[f13140]) ).
fof(f16255,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,[],[f16254]) ).
fof(f16256,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK65(X0,X1),X1)
& r2_hidden(sK65(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK65]),skolemize(X2,sK65(X0,X1))],[f16255]) ).
fof(f17189,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f12920]) ).
fof(f17237,plain,
l1_group_1(sK24),
inference(cnf_transformation,[],[f16192]) ).
fof(f17238,plain,
v4_group_1(sK24),
inference(cnf_transformation,[],[f16192]) ).
fof(f17239,plain,
v3_group_1(sK24),
inference(cnf_transformation,[],[f16192]) ).
fof(f17240,plain,
v1_group_1(sK24),
inference(cnf_transformation,[],[f16192]) ).
fof(f17241,plain,
~ v3_struct_0(sK24),
inference(cnf_transformation,[],[f16192]) ).
fof(f17242,plain,
~ r1_tarski(k1_autgroup(sK24),k1_fraenkel(u1_struct_0(sK24),u1_struct_0(sK24))),
inference(cnf_transformation,[],[f16192]) ).
fof(f17245,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,X2)
| m2_fraenkel(X3,X0,X1,X2)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f16193]) ).
fof(f17247,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| m2_relset_1(X3,X0,X1)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f12947]) ).
fof(f17248,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| v1_funct_2(X3,X0,X1)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f12947]) ).
fof(f17249,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f12947]) ).
fof(f17356,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f13050]) ).
fof(f17492,plain,
! [X0,X1] :
( r2_hidden(sK65(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f16256]) ).
fof(f17493,plain,
! [X0,X1] :
( ~ r2_hidden(sK65(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f16256]) ).
fof(f17494,plain,
! [X0,X1] :
( k1_funct_2(X0,X1) = k1_fraenkel(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f13141]) ).
fof(f17542,plain,
! [X0,X1] :
( r2_hidden(X1,k1_funct_2(X0,X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X0,X0)
| ~ m2_relset_1(X1,X0,X0) ),
inference(cnf_transformation,[],[f13177]) ).
fof(f18459,plain,
! [X0,X1] : k1_funct_2(X0,X1) = k4_card_3(k2_funcop_1(X0,X1)),
inference(cnf_transformation,[],[f4447]) ).
fof(f18488,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13860]) ).
fof(f18499,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f13870]) ).
fof(f18606,plain,
! [X0,X1] : k2_zfmisc_1(X0,k1_tarski(X1)) = k2_funcop_1(X0,X1),
inference(cnf_transformation,[],[f2371]) ).
fof(f19845,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_relat_1(k10_finseq_1(X0,X1)),
inference(cnf_transformation,[],[f4287]) ).
fof(f19852,plain,
! [X0,X1] : k10_finseq_1(X0,X1) = k7_finseq_1(k9_finseq_1(X0),k9_finseq_1(X1)),
inference(cnf_transformation,[],[f3681]) ).
fof(f20016,plain,
! [X0] : k1_tarski(X0) = k2_tarski(X0,X0),
inference(cnf_transformation,[],[f258]) ).
fof(f21543,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_relat_1(k7_finseq_1(k9_finseq_1(X0),k9_finseq_1(X1))),
inference(definition_unfolding,[],[f19845,f19852]) ).
fof(f21544,plain,
! [X0] : k1_tarski(X0) = k2_relat_1(k7_finseq_1(k9_finseq_1(X0),k9_finseq_1(X0))),
inference(definition_unfolding,[],[f20016,f21543]) ).
fof(f21546,plain,
! [X0,X1] : k2_funcop_1(X0,X1) = k2_zfmisc_1(X0,k2_relat_1(k7_finseq_1(k9_finseq_1(X1),k9_finseq_1(X1)))),
inference(definition_unfolding,[],[f18606,f21544]) ).
fof(f21551,plain,
! [X0,X1] : k1_funct_2(X0,X1) = k4_card_3(k2_zfmisc_1(X0,k2_relat_1(k7_finseq_1(k9_finseq_1(X1),k9_finseq_1(X1))))),
inference(definition_unfolding,[],[f18459,f21546]) ).
fof(f21584,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| k1_fraenkel(X0,X1) = k4_card_3(k2_zfmisc_1(X0,k2_relat_1(k7_finseq_1(k9_finseq_1(X1),k9_finseq_1(X1))))) ),
inference(definition_unfolding,[],[f17494,f21551]) ).
fof(f21606,plain,
! [X0,X1] :
( r2_hidden(X1,k4_card_3(k2_zfmisc_1(X0,k2_relat_1(k7_finseq_1(k9_finseq_1(X0),k9_finseq_1(X0))))))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X0,X0)
| ~ m2_relset_1(X1,X0,X0) ),
inference(definition_unfolding,[],[f17542,f21551]) ).
fof(f23680,plain,
! [X0,X1] :
( ~ l1_struct_0(X1)
| v3_struct_0(X1)
| k1_fraenkel(X0,u1_struct_0(X1)) = k4_card_3(k2_zfmisc_1(X0,k2_relat_1(k7_finseq_1(k9_finseq_1(u1_struct_0(X1)),k9_finseq_1(u1_struct_0(X1)))))) ),
inference(resolution,[],[f21584,f18499]) ).
fof(f23682,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| k1_fraenkel(X1,u1_struct_0(X0)) = k4_card_3(k2_zfmisc_1(X1,k2_relat_1(k7_finseq_1(k9_finseq_1(u1_struct_0(X0)),k9_finseq_1(u1_struct_0(X0))))))
| v3_struct_0(X0) ),
inference(resolution,[],[f23680,f18488]) ).
fof(f23691,plain,
! [X0] :
( k1_fraenkel(X0,u1_struct_0(sK24)) = k4_card_3(k2_zfmisc_1(X0,k2_relat_1(k7_finseq_1(k9_finseq_1(u1_struct_0(sK24)),k9_finseq_1(u1_struct_0(sK24))))))
| v3_struct_0(sK24) ),
inference(resolution,[],[f23682,f17237]) ).
fof(f23692,plain,
! [X0] : k1_fraenkel(X0,u1_struct_0(sK24)) = k4_card_3(k2_zfmisc_1(X0,k2_relat_1(k7_finseq_1(k9_finseq_1(u1_struct_0(sK24)),k9_finseq_1(u1_struct_0(sK24)))))),
inference(forward_subsumption_resolution,[],[f23691,f17241]) ).
fof(f23792,plain,
! [X0,X1] :
( m1_subset_1(sK65(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(resolution,[],[f17356,f17492]) ).
fof(f23796,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X0,X2,X3)
| m2_fraenkel(sK65(X0,X1),X2,X3,X0)
| v1_xboole_0(X3)
| r1_tarski(X0,X1) ),
inference(resolution,[],[f23792,f17245]) ).
fof(f23798,plain,
! [X0,X1] :
( ~ v4_group_1(X0)
| v1_xboole_0(u1_struct_0(X0))
| r1_tarski(k1_autgroup(X0),X1)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| m2_fraenkel(sK65(k1_autgroup(X0),X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0) ),
inference(resolution,[],[f23796,f17189]) ).
fof(f23802,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK24))
| r1_tarski(k1_autgroup(sK24),X0)
| v3_struct_0(sK24)
| ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| m2_fraenkel(sK65(k1_autgroup(sK24),X0),u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| ~ l1_group_1(sK24) ),
inference(resolution,[],[f23798,f17238]) ).
fof(f23803,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK24))
| r1_tarski(k1_autgroup(sK24),X0)
| ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| m2_fraenkel(sK65(k1_autgroup(sK24),X0),u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23802,f17241]) ).
fof(f23804,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK24))
| r1_tarski(k1_autgroup(sK24),X0)
| ~ v3_group_1(sK24)
| m2_fraenkel(sK65(k1_autgroup(sK24),X0),u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23803,f17240]) ).
fof(f23805,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK24))
| r1_tarski(k1_autgroup(sK24),X0)
| m2_fraenkel(sK65(k1_autgroup(sK24),X0),u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23804,f17239]) ).
fof(f23806,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK24))
| r1_tarski(k1_autgroup(sK24),X0)
| m2_fraenkel(sK65(k1_autgroup(sK24),X0),u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24)) ),
inference(forward_subsumption_resolution,[],[f23805,f17237]) ).
fof(f23808,definition,
( spl630_31
<=> ! [X0] :
( r1_tarski(k1_autgroup(sK24),X0)
| m2_fraenkel(sK65(k1_autgroup(sK24),X0),u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24)) ) ),
introduced(definition,[new_symbols(definition,[spl630_31])],[avatar_definition]) ).
fof(f23809,plain,
( ! [X0] :
( m2_fraenkel(sK65(k1_autgroup(sK24),X0),u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| r1_tarski(k1_autgroup(sK24),X0) )
| ~ spl630_31 ),
inference(avatar_component_clause,[],[f23808]) ).
fof(f23811,definition,
( spl630_32
<=> v1_xboole_0(u1_struct_0(sK24)) ),
introduced(definition,[new_symbols(definition,[spl630_32])],[avatar_definition]) ).
fof(f23812,plain,
( v1_xboole_0(u1_struct_0(sK24))
| ~ spl630_32 ),
inference(avatar_component_clause,[],[f23811]) ).
fof(f23813,plain,
( spl630_31
| spl630_32 ),
inference(avatar_split_clause,[],[f23806,f23811,f23808]) ).
fof(f23814,plain,
( ! [X0] :
( r1_tarski(k1_autgroup(sK24),X0)
| m2_relset_1(sK65(k1_autgroup(sK24),X0),u1_struct_0(sK24),u1_struct_0(sK24))
| v1_xboole_0(u1_struct_0(sK24))
| ~ m1_fraenkel(k1_autgroup(sK24),u1_struct_0(sK24),u1_struct_0(sK24)) )
| ~ spl630_31 ),
inference(resolution,[],[f23809,f17247]) ).
fof(f23815,plain,
( ! [X0] :
( r1_tarski(k1_autgroup(sK24),X0)
| v1_funct_2(sK65(k1_autgroup(sK24),X0),u1_struct_0(sK24),u1_struct_0(sK24))
| v1_xboole_0(u1_struct_0(sK24))
| ~ m1_fraenkel(k1_autgroup(sK24),u1_struct_0(sK24),u1_struct_0(sK24)) )
| ~ spl630_31 ),
inference(resolution,[],[f23809,f17248]) ).
fof(f23817,plain,
( ! [X0] :
( r1_tarski(k1_autgroup(sK24),X0)
| v1_funct_1(sK65(k1_autgroup(sK24),X0))
| v1_xboole_0(u1_struct_0(sK24))
| ~ m1_fraenkel(k1_autgroup(sK24),u1_struct_0(sK24),u1_struct_0(sK24)) )
| ~ spl630_31 ),
inference(resolution,[],[f23809,f17249]) ).
fof(f23819,definition,
( spl630_33
<=> m1_fraenkel(k1_autgroup(sK24),u1_struct_0(sK24),u1_struct_0(sK24)) ),
introduced(definition,[new_symbols(definition,[spl630_33])],[avatar_definition]) ).
fof(f23820,plain,
( ~ m1_fraenkel(k1_autgroup(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| spl630_33 ),
inference(avatar_component_clause,[],[f23819]) ).
fof(f23822,definition,
( spl630_34
<=> ! [X0] :
( r1_tarski(k1_autgroup(sK24),X0)
| v1_funct_1(sK65(k1_autgroup(sK24),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl630_34])],[avatar_definition]) ).
fof(f23823,plain,
( ! [X0] :
( v1_funct_1(sK65(k1_autgroup(sK24),X0))
| r1_tarski(k1_autgroup(sK24),X0) )
| ~ spl630_34 ),
inference(avatar_component_clause,[],[f23822]) ).
fof(f23824,plain,
( ~ spl630_33
| spl630_32
| spl630_34
| ~ spl630_31 ),
inference(avatar_split_clause,[],[f23817,f23808,f23822,f23811,f23819]) ).
fof(f23826,definition,
( spl630_35
<=> ! [X0] :
( r1_tarski(k1_autgroup(sK24),X0)
| v1_funct_2(sK65(k1_autgroup(sK24),X0),u1_struct_0(sK24),u1_struct_0(sK24)) ) ),
introduced(definition,[new_symbols(definition,[spl630_35])],[avatar_definition]) ).
fof(f23827,plain,
( ! [X0] :
( v1_funct_2(sK65(k1_autgroup(sK24),X0),u1_struct_0(sK24),u1_struct_0(sK24))
| r1_tarski(k1_autgroup(sK24),X0) )
| ~ spl630_35 ),
inference(avatar_component_clause,[],[f23826]) ).
fof(f23828,plain,
( ~ spl630_33
| spl630_32
| spl630_35
| ~ spl630_31 ),
inference(avatar_split_clause,[],[f23815,f23808,f23826,f23811,f23819]) ).
fof(f23830,definition,
( spl630_36
<=> ! [X0] :
( r1_tarski(k1_autgroup(sK24),X0)
| m2_relset_1(sK65(k1_autgroup(sK24),X0),u1_struct_0(sK24),u1_struct_0(sK24)) ) ),
introduced(definition,[new_symbols(definition,[spl630_36])],[avatar_definition]) ).
fof(f23831,plain,
( ! [X0] :
( m2_relset_1(sK65(k1_autgroup(sK24),X0),u1_struct_0(sK24),u1_struct_0(sK24))
| r1_tarski(k1_autgroup(sK24),X0) )
| ~ spl630_36 ),
inference(avatar_component_clause,[],[f23830]) ).
fof(f23832,plain,
( ~ spl630_33
| spl630_32
| spl630_36
| ~ spl630_31 ),
inference(avatar_split_clause,[],[f23814,f23808,f23830,f23811,f23819]) ).
fof(f23854,plain,
( v3_struct_0(sK24)
| ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| ~ v4_group_1(sK24)
| ~ l1_group_1(sK24)
| spl630_33 ),
inference(resolution,[],[f23820,f17189]) ).
fof(f23856,plain,
( ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| ~ v4_group_1(sK24)
| ~ l1_group_1(sK24)
| spl630_33 ),
inference(forward_subsumption_resolution,[],[f23854,f17241]) ).
fof(f23857,plain,
( ~ v3_group_1(sK24)
| ~ v4_group_1(sK24)
| ~ l1_group_1(sK24)
| spl630_33 ),
inference(forward_subsumption_resolution,[],[f23856,f17240]) ).
fof(f23858,plain,
( ~ v4_group_1(sK24)
| ~ l1_group_1(sK24)
| spl630_33 ),
inference(forward_subsumption_resolution,[],[f23857,f17239]) ).
fof(f23859,plain,
( ~ l1_group_1(sK24)
| spl630_33 ),
inference(forward_subsumption_resolution,[],[f23858,f17238]) ).
fof(f23860,plain,
( $false
| spl630_33 ),
inference(forward_subsumption_resolution,[],[f23859,f17237]) ).
fof(f23861,plain,
spl630_33,
inference(avatar_contradiction_clause,[],[f23860]) ).
fof(f23862,plain,
( v3_struct_0(sK24)
| ~ l1_struct_0(sK24)
| ~ spl630_32 ),
inference(resolution,[],[f23812,f18499]) ).
fof(f23864,plain,
( ~ l1_struct_0(sK24)
| ~ spl630_32 ),
inference(forward_subsumption_resolution,[],[f23862,f17241]) ).
fof(f23866,plain,
( ~ l1_group_1(sK24)
| ~ spl630_32 ),
inference(resolution,[],[f23864,f18488]) ).
fof(f23868,plain,
( $false
| ~ spl630_32 ),
inference(forward_subsumption_resolution,[],[f23866,f17237]) ).
fof(f23869,plain,
~ spl630_32,
inference(avatar_contradiction_clause,[],[f23868]) ).
fof(f27296,plain,
! [X0] :
( r2_hidden(X0,k1_fraenkel(u1_struct_0(sK24),u1_struct_0(sK24)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ m2_relset_1(X0,u1_struct_0(sK24),u1_struct_0(sK24)) ),
inference(superposition,[],[f21606,f23692]) ).
fof(f27297,plain,
! [X0] :
( ~ v1_funct_1(sK65(X0,k1_fraenkel(u1_struct_0(sK24),u1_struct_0(sK24))))
| ~ v1_funct_2(sK65(X0,k1_fraenkel(u1_struct_0(sK24),u1_struct_0(sK24))),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ m2_relset_1(sK65(X0,k1_fraenkel(u1_struct_0(sK24),u1_struct_0(sK24))),u1_struct_0(sK24),u1_struct_0(sK24))
| r1_tarski(X0,k1_fraenkel(u1_struct_0(sK24),u1_struct_0(sK24))) ),
inference(resolution,[],[f27296,f17493]) ).
fof(f27302,plain,
( ~ v1_funct_2(sK65(k1_autgroup(sK24),k1_fraenkel(u1_struct_0(sK24),u1_struct_0(sK24))),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ m2_relset_1(sK65(k1_autgroup(sK24),k1_fraenkel(u1_struct_0(sK24),u1_struct_0(sK24))),u1_struct_0(sK24),u1_struct_0(sK24))
| r1_tarski(k1_autgroup(sK24),k1_fraenkel(u1_struct_0(sK24),u1_struct_0(sK24)))
| r1_tarski(k1_autgroup(sK24),k1_fraenkel(u1_struct_0(sK24),u1_struct_0(sK24)))
| ~ spl630_34 ),
inference(resolution,[],[f27297,f23823]) ).
fof(f27303,plain,
( ~ v1_funct_2(sK65(k1_autgroup(sK24),k1_fraenkel(u1_struct_0(sK24),u1_struct_0(sK24))),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ m2_relset_1(sK65(k1_autgroup(sK24),k1_fraenkel(u1_struct_0(sK24),u1_struct_0(sK24))),u1_struct_0(sK24),u1_struct_0(sK24))
| r1_tarski(k1_autgroup(sK24),k1_fraenkel(u1_struct_0(sK24),u1_struct_0(sK24)))
| ~ spl630_34 ),
inference(duplicate_literal_removal,[],[f27302]) ).
fof(f27305,plain,
( ~ m2_relset_1(sK65(k1_autgroup(sK24),k1_fraenkel(u1_struct_0(sK24),u1_struct_0(sK24))),u1_struct_0(sK24),u1_struct_0(sK24))
| r1_tarski(k1_autgroup(sK24),k1_fraenkel(u1_struct_0(sK24),u1_struct_0(sK24)))
| ~ spl630_34
| ~ spl630_35 ),
inference(forward_subsumption_resolution,[],[f27303,f23827]) ).
fof(f27306,plain,
( r1_tarski(k1_autgroup(sK24),k1_fraenkel(u1_struct_0(sK24),u1_struct_0(sK24)))
| ~ spl630_34
| ~ spl630_35
| ~ spl630_36 ),
inference(forward_subsumption_resolution,[],[f27305,f23831]) ).
fof(f27307,plain,
( $false
| ~ spl630_34
| ~ spl630_35
| ~ spl630_36 ),
inference(forward_subsumption_resolution,[],[f27306,f17242]) ).
fof(f27308,plain,
( ~ spl630_34
| ~ spl630_35
| ~ spl630_36 ),
inference(avatar_contradiction_clause,[],[f27307]) ).
cnf(s26,plain,
( spl630_31
| spl630_32 ),
inference(sat_conversion,[],[f23813]) ).
cnf(s27,plain,
( ~ spl630_31
| spl630_32
| ~ spl630_33
| spl630_34 ),
inference(sat_conversion,[],[f23824]) ).
cnf(s28,plain,
( ~ spl630_31
| spl630_32
| ~ spl630_33
| spl630_35 ),
inference(sat_conversion,[],[f23828]) ).
cnf(s29,plain,
( ~ spl630_31
| spl630_32
| ~ spl630_33
| spl630_36 ),
inference(sat_conversion,[],[f23832]) ).
cnf(s31,plain,
spl630_33,
inference(sat_conversion,[],[f23861]) ).
cnf(s33,plain,
~ spl630_32,
inference(sat_conversion,[],[f23869]) ).
cnf(s277,plain,
( ~ spl630_34
| ~ spl630_35
| ~ spl630_36 ),
inference(sat_conversion,[],[f27308]) ).
cnf(s394,plain,
( ~ spl630_31
| spl630_36 ),
inference(rat,[],[s29,s31,s33]) ).
cnf(s395,plain,
( ~ spl630_31
| spl630_35 ),
inference(rat,[],[s28,s31,s33]) ).
cnf(s396,plain,
( ~ spl630_31
| spl630_34 ),
inference(rat,[],[s27,s31,s33]) ).
cnf(s397,plain,
spl630_31,
inference(rat,[],[s26,s33]) ).
cnf(s398,plain,
spl630_36,
inference(rat,[],[s394,s397]) ).
cnf(s399,plain,
spl630_35,
inference(rat,[],[s395,s397]) ).
cnf(s400,plain,
spl630_34,
inference(rat,[],[s396,s397]) ).
cnf(s401,plain,
$false,
inference(rat,[],[s277,s398,s399,s400]) ).
fof(f27309,plain,
$false,
inference(avatar_sat_refutation,[],[s401]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP619+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n013.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 10:08:44 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.52/4.41 % (4183639)Detected formulas, will run a generic FOF schedule.
% 20.52/4.41 % (4183714)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=879439387:s2a=on:i=139:gtg=position_2992 on theBenchmark for (2992ds/139Mi)
% 20.52/4.41 % (4183714)Instruction limit reached!
% 20.52/4.41 % (4183714)------------------------------
% 20.52/4.41 % (4183714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.52/4.41 % (4183714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.52/4.41 % (4183714)CaDiCaL version: 2.1.3
% 20.52/4.41 % (4183714)Termination reason: Instruction limit
% 20.52/4.41 % (4183714)Termination phase: Property scanning
% 20.52/4.41 % (4183714)Time elapsed: 0.035 s
% 20.52/4.41 % (4183714)Peak memory usage: 101 MB
% 20.52/4.41 % (4183714)Instructions burned: 141 (million)
% 20.52/4.41 % (4183709)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=3129104279:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2992 on theBenchmark for (2992ds/134677Mi)
% 20.52/4.41 % (4183712)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1932801081:i=109:sd=1:ins=1:gsp=on:ss=axioms_2992 on theBenchmark for (2992ds/109Mi)
% 20.52/4.41 % (4183711)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=4107308161:i=141695:sd=1:nm=32:gsp=on:ss=included_2992 on theBenchmark for (2992ds/141695Mi)
% 20.52/4.41 % (4183707)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=838713144:i=141193_2992 on theBenchmark for (2992ds/141193Mi)
% 20.52/4.41 % (4183713)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4026347573:i=119:av=off:ss=axioms_2992 on theBenchmark for (2992ds/119Mi)
% 20.52/4.41 % (4183715)dis-21_1_sil=8000:lcm=predicate:random_seed=4186462995:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2992 on theBenchmark for (2992ds/129Mi)
% 20.52/4.41 % (4183712)Refutation not found, incomplete strategy
% 20.52/4.41 % (4183712)------------------------------
% 20.52/4.41 % (4183712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.52/4.41 % (4183712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.52/4.41 % (4183712)CaDiCaL version: 2.1.3
% 20.52/4.41 % (4183712)Termination reason: Refutation not found, incomplete strategy
% 20.52/4.41 % (4183712)Time elapsed: 0.091 s
% 20.52/4.41 % (4183712)Peak memory usage: 106 MB
% 20.52/4.41 % (4183712)Instructions burned: 78 (million)
% 20.52/4.41 % (4183721)lrs+10_1_sil=8000:sp=occurrence:random_seed=352495660:i=285:sd=3:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/285Mi)
% 20.52/4.41 % (4183715)Instruction limit reached!
% 20.52/4.41 % (4183715)------------------------------
% 20.52/4.41 % (4183715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.52/4.41 % (4183715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.52/4.41 % (4183715)CaDiCaL version: 2.1.3
% 20.52/4.41 % (4183715)Termination reason: Instruction limit
% 20.52/4.41 % (4183715)Termination phase: Preprocessing 1
% 20.52/4.41 % (4183715)Time elapsed: 0.151 s
% 20.52/4.41 % (4183715)Peak memory usage: 102 MB
% 20.52/4.41 % (4183715)Instructions burned: 130 (million)
% 20.52/4.41 % (4183713)Instruction limit reached!
% 20.52/4.41 % (4183713)------------------------------
% 20.52/4.41 % (4183713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.52/4.41 % (4183713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.52/4.41 % (4183713)CaDiCaL version: 2.1.3
% 20.52/4.41 % (4183713)Termination reason: Instruction limit
% 20.52/4.41 % (4183713)Termination phase: Preprocessing 3
% 20.52/4.41 % (4183713)Time elapsed: 0.151 s
% 20.52/4.41 % (4183713)Peak memory usage: 105 MB
% 20.52/4.41 % (4183713)Instructions burned: 121 (million)
% 20.52/4.41 % (4183721)Instruction limit reached!
% 20.52/4.41 % (4183721)------------------------------
% 20.52/4.41 % (4183721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.52/4.41 % (4183721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.52/4.41 % (4183721)CaDiCaL version: 2.1.3
% 20.52/4.41 % (4183721)Termination reason: Instruction limit
% 20.52/4.41 % (4183721)Termination phase: Saturation
% 20.52/4.41 % (4183721)Time elapsed: 0.167 s
% 20.52/4.41 % (4183721)Peak memory usage: 109 MB
% 20.52/4.41 % (4183721)Instructions burned: 285 (million)
% 30.69/5.89 % (4183731)lrs+10_1_sil=32000:urr=on:br=off:random_seed=518968814:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/157Mi)
% 30.69/5.89 % (4183732)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1746648191:i=325:sd=1:ss=axioms:sgt=32_2988 on theBenchmark for (2988ds/325Mi)
% 30.69/5.89 % (4183712)------------------------------
% 30.69/5.89 % (4183712)------------------------------
% 30.69/5.89 % (4183733)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=1892465873:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 30.69/5.89 % (4183731)Instruction limit reached!
% 30.69/5.89 % (4183731)------------------------------
% 30.69/5.89 % (4183731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.69/5.89 % (4183731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.69/5.89 % (4183731)CaDiCaL version: 2.1.3
% 30.69/5.89 % (4183731)Termination reason: Instruction limit
% 30.69/5.89 % (4183731)Termination phase: Property scanning
% 30.69/5.89 % (4183731)Time elapsed: 0.129 s
% 30.69/5.89 % (4183731)Peak memory usage: 101 MB
% 30.69/5.89 % (4183731)Instructions burned: 158 (million)
% 30.69/5.89 % (4183733)Instruction limit reached!
% 30.69/5.89 % (4183733)------------------------------
% 30.69/5.89 % (4183733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.69/5.89 % (4183733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.69/5.89 % (4183733)CaDiCaL version: 2.1.3
% 30.69/5.89 % (4183733)Termination reason: Instruction limit
% 30.69/5.89 % (4183733)Termination phase: SInE selection
% 30.69/5.89 % (4183733)Time elapsed: 0.131 s
% 30.69/5.89 % (4183733)Peak memory usage: 102 MB
% 30.69/5.89 % (4183733)Instructions burned: 249 (million)
% 30.69/5.89 % (4183742)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=596436881:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2985 on theBenchmark for (2985ds/294Mi)
% 30.69/5.89 % (4183744)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3369805934:i=2350_2984 on theBenchmark for (2984ds/2350Mi)
% 30.69/5.89 % (4183732)Instruction limit reached!
% 30.69/5.89 % (4183732)------------------------------
% 30.69/5.89 % (4183732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.69/5.89 % (4183732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.69/5.89 % (4183732)CaDiCaL version: 2.1.3
% 30.69/5.89 % (4183732)Termination reason: Instruction limit
% 30.69/5.89 % (4183732)Termination phase: Saturation
% 30.69/5.89 % (4183732)Time elapsed: 0.337 s
% 30.69/5.89 % (4183732)Peak memory usage: 107 MB
% 30.69/5.89 % (4183732)Instructions burned: 325 (million)
% 30.69/5.89 % (4183745)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2708185854:cts=off:i=113:fsr=off:ss=included:sgt=4_2983 on theBenchmark for (2983ds/113Mi)
% 30.69/5.89 % (4183748)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1987674401:i=127:av=off:fsr=off:sup=off_2982 on theBenchmark for (2982ds/127Mi)
% 30.69/5.89 % (4183742)Instruction limit reached!
% 30.69/5.89 % (4183742)------------------------------
% 30.69/5.89 % (4183742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.69/5.89 % (4183742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.69/5.89 % (4183742)CaDiCaL version: 2.1.3
% 30.69/5.89 % (4183742)Termination reason: Instruction limit
% 30.69/5.89 % (4183742)Termination phase: Saturation
% 30.69/5.89 % (4183742)Time elapsed: 0.302 s
% 30.69/5.89 % (4183742)Peak memory usage: 110 MB
% 30.69/5.89 % (4183742)Instructions burned: 294 (million)
% 30.69/5.89 % (4183745)Instruction limit reached!
% 30.69/5.89 % (4183745)------------------------------
% 30.69/5.89 % (4183745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.69/5.89 % (4183745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.69/5.89 % (4183745)CaDiCaL version: 2.1.3
% 30.69/5.89 % (4183745)Termination reason: Instruction limit
% 30.69/5.89 % (4183745)Termination phase: Preprocessing 3
% 30.69/5.89 % (4183745)Time elapsed: 0.148 s
% 30.69/5.89 % (4183745)Peak memory usage: 105 MB
% 30.69/5.89 % (4183745)Instructions burned: 113 (million)
% 30.69/5.89 % (4183748)Instruction limit reached!
% 30.69/5.89 % (4183748)------------------------------
% 30.69/5.89 % (4183748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.69/5.89 % (4183748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.96/6.59 % (4183748)CaDiCaL version: 2.1.3
% 30.96/6.59 % (4183748)Termination reason: Instruction limit
% 30.96/6.59 % (4183748)Termination phase: Preprocessing 2
% 30.96/6.59 % (4183748)Time elapsed: 0.155 s
% 30.96/6.59 % (4183748)Peak memory usage: 106 MB
% 30.96/6.59 % (4183748)Instructions burned: 127 (million)
% 30.96/6.59 % (4183755)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2043290667:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2979 on theBenchmark for (2979ds/114Mi)
% 30.96/6.59 % (4183756)lrs+10_1_sil=8000:sp=occurrence:random_seed=3312761224:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2978 on theBenchmark for (2978ds/907Mi)
% 30.96/6.59 % (4183755)Instruction limit reached!
% 30.96/6.59 % (4183755)------------------------------
% 30.96/6.59 % (4183755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.96/6.59 % (4183755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.96/6.59 % (4183755)CaDiCaL version: 2.1.3
% 30.96/6.59 % (4183755)Termination reason: Instruction limit
% 30.96/6.59 % (4183755)Termination phase: Property scanning
% 30.96/6.59 % (4183755)Time elapsed: 0.096 s
% 30.96/6.59 % (4183755)Peak memory usage: 101 MB
% 30.96/6.59 % (4183755)Instructions burned: 114 (million)
% 30.96/6.59 % (4183757)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=402063415:i=437:sd=1:aac=none:ss=included_2978 on theBenchmark for (2978ds/437Mi)
% 30.96/6.59 % (4183764)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1695566992:i=5202:ss=axioms:sgt=16_2975 on theBenchmark for (2975ds/5202Mi)
% 30.96/6.59 % (4183757)Instruction limit reached!
% 30.96/6.59 % (4183757)------------------------------
% 30.96/6.59 % (4183757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.96/6.59 % (4183757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.96/6.59 % (4183757)CaDiCaL version: 2.1.3
% 30.96/6.59 % (4183757)Termination reason: Instruction limit
% 30.96/6.59 % (4183757)Termination phase: Saturation
% 30.96/6.59 % (4183757)Time elapsed: 0.408 s
% 30.96/6.59 % (4183757)Peak memory usage: 107 MB
% 30.96/6.59 % (4183757)Instructions burned: 437 (million)
% 30.96/6.59 % (4183744)Instruction limit reached!
% 30.96/6.59 % (4183744)------------------------------
% 30.96/6.59 % (4183744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.96/6.59 % (4183744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.96/6.59 % (4183744)CaDiCaL version: 2.1.3
% 30.96/6.59 % (4183744)Termination reason: Instruction limit
% 30.96/6.59 % (4183744)Termination phase: Saturation
% 30.96/6.59 % (4183744)Time elapsed: 1.326 s
% 30.96/6.59 % (4183744)Peak memory usage: 228 MB
% 30.96/6.59 % (4183744)Instructions burned: 2351 (million)
% 30.96/6.59 % (4183769)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3865139050:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2971 on theBenchmark for (2971ds/134Mi)
% 30.96/6.59 % (4183756)Instruction limit reached!
% 30.96/6.59 % (4183756)------------------------------
% 30.96/6.59 % (4183756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.96/6.59 % (4183756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.96/6.59 % (4183756)CaDiCaL version: 2.1.3
% 30.96/6.59 % (4183756)Termination reason: Instruction limit
% 30.96/6.59 % (4183756)Termination phase: Saturation
% 30.96/6.59 % (4183756)Time elapsed: 0.857 s
% 30.96/6.59 % (4183756)Peak memory usage: 120 MB
% 30.96/6.59 % (4183756)Instructions burned: 907 (million)
% 30.96/6.59 % (4183769)Instruction limit reached!
% 30.96/6.59 % (4183769)------------------------------
% 30.96/6.59 % (4183769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.96/6.59 % (4183769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.96/6.59 % (4183769)CaDiCaL version: 2.1.3
% 30.96/6.59 % (4183769)Termination reason: Instruction limit
% 30.96/6.59 % (4183769)Termination phase: Saturation
% 30.96/6.59 % (4183769)Time elapsed: 0.152 s
% 30.96/6.59 % (4183769)Peak memory usage: 107 MB
% 30.96/6.59 % (4183769)Instructions burned: 135 (million)
% 30.96/6.59 % (4183771)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=458549115:st=8:i=592:sd=3:ep=RST:ss=axioms_2969 on theBenchmark for (2969ds/592Mi)
% 30.96/6.59 % (4183772)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2985729784:st=3:i=13193:sd=3:ss=axioms_2967 on theBenchmark for (2967ds/13193Mi)
% 30.96/6.59 % (4183773)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=3127421124:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2967 on theBenchmark for (2967ds/125Mi)
% 30.96/6.59 % (4183773)Instruction limit reached!
% 30.96/6.59 % (4183773)------------------------------
% 30.96/6.59 % (4183773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.96/6.59 % (4183773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.96/6.59 % (4183773)CaDiCaL version: 2.1.3
% 30.96/6.59 % (4183773)Termination reason: Instruction limit
% 30.96/6.59 % (4183773)Termination phase: Property scanning
% 30.96/6.59 % (4183773)Time elapsed: 0.103 s
% 30.96/6.59 % (4183773)Peak memory usage: 101 MB
% 30.96/6.59 % (4183773)Instructions burned: 125 (million)
% 30.96/6.59 % (4183771)Instruction limit reached!
% 30.96/6.59 % (4183771)------------------------------
% 30.96/6.59 % (4183771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.96/6.59 % (4183771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.96/6.59 % (4183771)CaDiCaL version: 2.1.3
% 30.96/6.59 % (4183771)Termination reason: Instruction limit
% 30.96/6.59 % (4183771)Termination phase: Property scanning
% 30.96/6.59 % (4183771)Time elapsed: 0.366 s
% 30.96/6.59 % (4183771)Peak memory usage: 123 MB
% 30.96/6.59 % (4183771)Instructions burned: 594 (million)
% 30.96/6.59 % (4183779)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=503544527:i=134:gtgl=5:slsql=off:gtg=exists_sym_2963 on theBenchmark for (2963ds/134Mi)
% 30.96/6.59 % (4183779)Instruction limit reached!
% 30.96/6.59 % (4183779)------------------------------
% 30.96/6.59 % (4183779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.96/6.59 % (4183779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.96/6.59 % (4183779)CaDiCaL version: 2.1.3
% 30.96/6.59 % (4183779)Termination reason: Instruction limit
% 30.96/6.59 % (4183779)Termination phase: Property scanning
% 30.96/6.59 % (4183779)Time elapsed: 0.065 s
% 30.96/6.59 % (4183779)Peak memory usage: 101 MB
% 30.96/6.59 % (4183779)Instructions burned: 136 (million)
% 30.96/6.59 % (4183780)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4152731945:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2963 on theBenchmark for (2963ds/141Mi)
% 30.96/6.59 % (4183780)Instruction limit reached!
% 30.96/6.59 % (4183780)------------------------------
% 30.96/6.59 % (4183780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.96/6.59 % (4183780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.96/6.59 % (4183780)CaDiCaL version: 2.1.3
% 30.96/6.59 % (4183780)Termination reason: Instruction limit
% 30.96/6.59 % (4183780)Termination phase: Saturation
% 30.96/6.59 % (4183780)Time elapsed: 0.084 s
% 30.96/6.59 % (4183780)Peak memory usage: 106 MB
% 30.96/6.59 % (4183780)Instructions burned: 143 (million)
% 30.96/6.59 % (4183782)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1596396642:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2960 on theBenchmark for (2960ds/431Mi)
% 30.96/6.59 % (4183784)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2590769186:i=6060:aac=none:ins=25_2959 on theBenchmark for (2959ds/6060Mi)
% 30.96/6.59 % (4183782)Instruction limit reached!
% 30.96/6.59 % (4183782)------------------------------
% 30.96/6.59 % (4183782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.96/6.59 % (4183782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.96/6.59 % (4183782)CaDiCaL version: 2.1.3
% 30.96/6.59 % (4183782)Termination reason: Instruction limit
% 30.96/6.59 % (4183782)Termination phase: Saturation
% 30.96/6.59 % (4183782)Time elapsed: 0.400 s
% 30.96/6.59 % (4183782)Peak memory usage: 109 MB
% 30.96/6.59 % (4183782)Instructions burned: 431 (million)
% 30.96/6.59 % (4183789)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=226530047:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2954 on theBenchmark for (2954ds/150Mi)
% 30.96/6.59 % (4183789)Instruction limit reached!
% 30.96/6.59 % (4183789)------------------------------
% 30.96/6.59 % (4183789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.96/6.59 % (4183789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.96/6.59 % (4183789)CaDiCaL version: 2.1.3
% 30.96/6.59 % (4183789)Termination reason: Instruction limit
% 30.96/6.59 % (4183789)Termination phase: Preprocessing 1
% 30.96/6.59 % (4183789)Time elapsed: 0.172 s
% 30.96/6.59 % (4183789)Peak memory usage: 102 MB
% 30.96/6.59 % (4183789)Instructions burned: 150 (million)
% 30.96/6.59 % (4183709)First to succeed.
% 30.96/6.59 % (4183709)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4183639"
% 30.96/6.59 % (4183791)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=4178750040:i=14155:bd=all_2949 on theBenchmark for (2949ds/14155Mi)
% 30.96/6.59 % (4183709)Refutation found. Thanks to Tanya!
% 30.96/6.59 % SZS status Theorem for theBenchmark
% 30.96/6.59 % SZS output start Proof for theBenchmark
% See solution above
% 36.56/6.89 % (4183709)------------------------------
% 36.56/6.89 % (4183709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.56/6.89 % (4183709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.56/6.89 % (4183709)CaDiCaL version: 2.1.3
% 36.56/6.89 % (4183709)Termination reason: Refutation
% 36.56/6.89 % (4183709)Time elapsed: 4.234 s
% 36.56/6.89 % (4183709)Peak memory usage: 198 MB
% 36.56/6.89 % (4183709)Instructions burned: 4065 (million)
% 36.56/6.89 % (4183709)------------------------------
% 36.56/6.89 % (4183709)------------------------------
% 36.56/6.89 % (4183639)Success in time 5.719 s
% 36.56/6.89 % Vampire exiting
%------------------------------------------------------------------------------