%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP623+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 : n012.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 10:15:03 AM UTC 2026
% Result : Theorem 15.26s 3.34s
% Output : Refutation 18.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 15
% Syntax : Number of formulae : 108 ( 20 unt; 4 def)
% Number of atoms : 368 ( 4 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 435 ( 175 ~; 192 |; 46 &)
% ( 9 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 3 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 114 ( 0 sgn 110 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f330,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f331,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f1870,axiom,
! [X0,X1,X2] :
( m1_fraenkel(X2,X0,X1)
=> ( ~ v1_xboole_0(X2)
& v1_fraenkel(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_fraenkel) ).
fof(f1874,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/sandbox/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
fof(f2483,axiom,
! [X0] :
( l1_struct_0(X0)
=> ( v3_struct_0(X0)
<=> v1_xboole_0(u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_struct_0) ).
fof(f2766,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f3801,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/sandbox/benchmark/theBenchmark.p',dt_k1_autgroup) ).
fof(f3804,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_autgroup) ).
fof(f3826,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_autgroup) ).
fof(f3827,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> r1_tarski(k4_autgroup(X0),k1_autgroup(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_autgroup) ).
fof(f3828,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(k4_autgroup(X0),k1_autgroup(X0)) ),
inference(negated_conjecture,[status(cth)],[f3827]) ).
fof(f4004,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f4248,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f330]) ).
fof(f4249,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f331]) ).
fof(f4250,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f4249]) ).
fof(f5997,plain,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X2)
& v1_fraenkel(X2) )
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f1870]) ).
fof(f6002,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,[],[f1874]) ).
fof(f6003,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,[],[f6002]) ).
fof(f6567,plain,
! [X0] :
( ( v3_struct_0(X0)
<=> v1_xboole_0(u1_struct_0(X0)) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f2483]) ).
fof(f6987,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f2766]) ).
fof(f8575,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,[],[f3801]) ).
fof(f8576,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,[],[f8575]) ).
fof(f8581,plain,
! [X0] :
( m1_fraenkel(k4_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,[],[f3804]) ).
fof(f8582,plain,
! [X0] :
( m1_fraenkel(k4_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,[],[f8581]) ).
fof(f8623,plain,
! [X0] :
( ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3826]) ).
fof(f8624,plain,
! [X0] :
( ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f8623]) ).
fof(f8625,plain,
? [X0] :
( ~ r1_tarski(k4_autgroup(X0),k1_autgroup(X0))
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f3828]) ).
fof(f8626,plain,
? [X0] :
( ~ r1_tarski(k4_autgroup(X0),k1_autgroup(X0))
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f8625]) ).
fof(f8894,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,[],[f4004]) ).
fof(f8895,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,[],[f8894]) ).
fof(f8896,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK169(X0,X1),X1)
& r2_hidden(sK169(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK169]),skolemize(X2,sK169(X0,X1))],[f8895]) ).
fof(f9873,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,[],[f6003]) ).
fof(f10285,plain,
! [X0] :
( ( ( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) )
& ( v1_xboole_0(u1_struct_0(X0))
| ~ v3_struct_0(X0) ) )
| ~ l1_struct_0(X0) ),
inference(nnf_transformation,[],[f6567]) ).
fof(f10944,plain,
( ~ r1_tarski(k4_autgroup(sK1314),k1_autgroup(sK1314))
& ~ v3_struct_0(sK1314)
& v1_group_1(sK1314)
& v3_group_1(sK1314)
& v4_group_1(sK1314)
& l1_group_1(sK1314) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1314]),skolemize(X0,sK1314)],[f8626]) ).
fof(f10959,plain,
! [X0,X1] :
( r2_hidden(sK169(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f8896]) ).
fof(f10960,plain,
! [X0,X1] :
( ~ r2_hidden(sK169(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f8896]) ).
fof(f11441,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f4248]) ).
fof(f11442,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f4250]) ).
fof(f14270,plain,
! [X2,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| ~ v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f5997]) ).
fof(f14276,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| m1_subset_1(X3,X2)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f9873]) ).
fof(f14277,plain,
! [X2,X3,X0,X1] :
( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f9873]) ).
fof(f15561,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f10285]) ).
fof(f16042,plain,
! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f6987]) ).
fof(f18048,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,[],[f8576]) ).
fof(f18057,plain,
! [X0] :
( m1_fraenkel(k4_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,[],[f8582]) ).
fof(f18122,plain,
! [X0,X1] :
( ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f8624]) ).
fof(f18123,plain,
l1_group_1(sK1314),
inference(cnf_transformation,[],[f10944]) ).
fof(f18124,plain,
v4_group_1(sK1314),
inference(cnf_transformation,[],[f10944]) ).
fof(f18125,plain,
v3_group_1(sK1314),
inference(cnf_transformation,[],[f10944]) ).
fof(f18126,plain,
v1_group_1(sK1314),
inference(cnf_transformation,[],[f10944]) ).
fof(f18127,plain,
~ v3_struct_0(sK1314),
inference(cnf_transformation,[],[f10944]) ).
fof(f18128,plain,
~ r1_tarski(k4_autgroup(sK1314),k1_autgroup(sK1314)),
inference(cnf_transformation,[],[f10944]) ).
fof(f20109,definition,
sF1315 = k4_autgroup(sK1314),
introduced(definition,[new_symbols(definition,[sF1315])],[function_definition]) ).
fof(f20110,plain,
k4_autgroup(sK1314) = sF1315,
inference(reorient_equations,[],[f20109]) ).
fof(f20111,definition,
sF1316 = k1_autgroup(sK1314),
introduced(definition,[new_symbols(definition,[sF1316])],[function_definition]) ).
fof(f20112,plain,
k1_autgroup(sK1314) = sF1316,
inference(reorient_equations,[],[f20111]) ).
fof(f20113,plain,
~ r1_tarski(sF1315,sF1316),
inference(definition_folding,[],[f18128,f20112,f20110]) ).
fof(f23016,plain,
( m1_fraenkel(sF1315,u1_struct_0(sK1314),u1_struct_0(sK1314))
| v3_struct_0(sK1314)
| ~ v1_group_1(sK1314)
| ~ v3_group_1(sK1314)
| ~ v4_group_1(sK1314)
| ~ l1_group_1(sK1314) ),
inference(superposition,[],[f18057,f20110]) ).
fof(f23017,plain,
( m1_fraenkel(sF1316,u1_struct_0(sK1314),u1_struct_0(sK1314))
| v3_struct_0(sK1314)
| ~ v1_group_1(sK1314)
| ~ v3_group_1(sK1314)
| ~ v4_group_1(sK1314)
| ~ l1_group_1(sK1314) ),
inference(superposition,[],[f18048,f20112]) ).
fof(f23022,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK1314),u1_struct_0(sK1314),sF1315)
| m2_fraenkel(X0,u1_struct_0(sK1314),u1_struct_0(sK1314),k1_autgroup(sK1314))
| v3_struct_0(sK1314)
| ~ v1_group_1(sK1314)
| ~ v3_group_1(sK1314)
| ~ v4_group_1(sK1314)
| ~ l1_group_1(sK1314) ),
inference(superposition,[],[f18122,f20110]) ).
fof(f23056,plain,
( m1_fraenkel(sF1315,u1_struct_0(sK1314),u1_struct_0(sK1314))
| ~ v1_group_1(sK1314)
| ~ v3_group_1(sK1314)
| ~ v4_group_1(sK1314)
| ~ l1_group_1(sK1314) ),
inference(forward_subsumption_resolution,[],[f23016,f18127]) ).
fof(f23057,plain,
( m1_fraenkel(sF1316,u1_struct_0(sK1314),u1_struct_0(sK1314))
| ~ v1_group_1(sK1314)
| ~ v3_group_1(sK1314)
| ~ v4_group_1(sK1314)
| ~ l1_group_1(sK1314) ),
inference(forward_subsumption_resolution,[],[f23017,f18127]) ).
fof(f23060,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK1314),u1_struct_0(sK1314),sF1315)
| m2_fraenkel(X0,u1_struct_0(sK1314),u1_struct_0(sK1314),k1_autgroup(sK1314))
| ~ v1_group_1(sK1314)
| ~ v3_group_1(sK1314)
| ~ v4_group_1(sK1314)
| ~ l1_group_1(sK1314) ),
inference(forward_subsumption_resolution,[],[f23022,f18127]) ).
fof(f23063,plain,
( m1_fraenkel(sF1315,u1_struct_0(sK1314),u1_struct_0(sK1314))
| ~ v3_group_1(sK1314)
| ~ v4_group_1(sK1314)
| ~ l1_group_1(sK1314) ),
inference(forward_subsumption_resolution,[],[f23056,f18126]) ).
fof(f23064,plain,
( m1_fraenkel(sF1316,u1_struct_0(sK1314),u1_struct_0(sK1314))
| ~ v3_group_1(sK1314)
| ~ v4_group_1(sK1314)
| ~ l1_group_1(sK1314) ),
inference(forward_subsumption_resolution,[],[f23057,f18126]) ).
fof(f23067,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK1314),u1_struct_0(sK1314),sF1315)
| m2_fraenkel(X0,u1_struct_0(sK1314),u1_struct_0(sK1314),k1_autgroup(sK1314))
| ~ v3_group_1(sK1314)
| ~ v4_group_1(sK1314)
| ~ l1_group_1(sK1314) ),
inference(forward_subsumption_resolution,[],[f23060,f18126]) ).
fof(f23070,plain,
( m1_fraenkel(sF1315,u1_struct_0(sK1314),u1_struct_0(sK1314))
| ~ v4_group_1(sK1314)
| ~ l1_group_1(sK1314) ),
inference(forward_subsumption_resolution,[],[f23063,f18125]) ).
fof(f23071,plain,
( m1_fraenkel(sF1316,u1_struct_0(sK1314),u1_struct_0(sK1314))
| ~ v4_group_1(sK1314)
| ~ l1_group_1(sK1314) ),
inference(forward_subsumption_resolution,[],[f23064,f18125]) ).
fof(f23074,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK1314),u1_struct_0(sK1314),sF1315)
| m2_fraenkel(X0,u1_struct_0(sK1314),u1_struct_0(sK1314),k1_autgroup(sK1314))
| ~ v4_group_1(sK1314)
| ~ l1_group_1(sK1314) ),
inference(forward_subsumption_resolution,[],[f23067,f18125]) ).
fof(f23077,plain,
( m1_fraenkel(sF1315,u1_struct_0(sK1314),u1_struct_0(sK1314))
| ~ l1_group_1(sK1314) ),
inference(forward_subsumption_resolution,[],[f23070,f18124]) ).
fof(f23078,plain,
( m1_fraenkel(sF1316,u1_struct_0(sK1314),u1_struct_0(sK1314))
| ~ l1_group_1(sK1314) ),
inference(forward_subsumption_resolution,[],[f23071,f18124]) ).
fof(f23081,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK1314),u1_struct_0(sK1314),sF1315)
| m2_fraenkel(X0,u1_struct_0(sK1314),u1_struct_0(sK1314),k1_autgroup(sK1314))
| ~ l1_group_1(sK1314) ),
inference(forward_subsumption_resolution,[],[f23074,f18124]) ).
fof(f23084,plain,
m1_fraenkel(sF1315,u1_struct_0(sK1314),u1_struct_0(sK1314)),
inference(forward_subsumption_resolution,[],[f23077,f18123]) ).
fof(f23085,plain,
m1_fraenkel(sF1316,u1_struct_0(sK1314),u1_struct_0(sK1314)),
inference(forward_subsumption_resolution,[],[f23078,f18123]) ).
fof(f23088,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK1314),u1_struct_0(sK1314),sF1315)
| m2_fraenkel(X0,u1_struct_0(sK1314),u1_struct_0(sK1314),k1_autgroup(sK1314)) ),
inference(forward_subsumption_resolution,[],[f23081,f18123]) ).
fof(f23091,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK1314),u1_struct_0(sK1314),sF1315)
| m2_fraenkel(X0,u1_struct_0(sK1314),u1_struct_0(sK1314),sF1316) ),
inference(forward_demodulation,[],[f23088,f20112]) ).
fof(f23094,plain,
! [X0] :
( m2_fraenkel(X0,u1_struct_0(sK1314),u1_struct_0(sK1314),sF1316)
| ~ m1_subset_1(X0,sF1315)
| v1_xboole_0(u1_struct_0(sK1314))
| ~ m1_fraenkel(sF1315,u1_struct_0(sK1314),u1_struct_0(sK1314)) ),
inference(resolution,[],[f23091,f14277]) ).
fof(f23132,plain,
~ v1_xboole_0(sF1316),
inference(resolution,[],[f14270,f23085]) ).
fof(f23142,plain,
! [X0] :
( m2_fraenkel(X0,u1_struct_0(sK1314),u1_struct_0(sK1314),sF1316)
| ~ m1_subset_1(X0,sF1315)
| v1_xboole_0(u1_struct_0(sK1314)) ),
inference(forward_subsumption_resolution,[],[f23094,f23084]) ).
fof(f23145,definition,
( spl1317_562
<=> v1_xboole_0(u1_struct_0(sK1314)) ),
introduced(definition,[new_symbols(definition,[spl1317_562])],[avatar_definition]) ).
fof(f23146,plain,
( ~ v1_xboole_0(u1_struct_0(sK1314))
| spl1317_562 ),
inference(avatar_component_clause,[],[f23145]) ).
fof(f23147,plain,
( v1_xboole_0(u1_struct_0(sK1314))
| ~ spl1317_562 ),
inference(avatar_component_clause,[],[f23145]) ).
fof(f23149,definition,
( spl1317_563
<=> ! [X0] :
( m2_fraenkel(X0,u1_struct_0(sK1314),u1_struct_0(sK1314),sF1316)
| ~ m1_subset_1(X0,sF1315) ) ),
introduced(definition,[new_symbols(definition,[spl1317_563])],[avatar_definition]) ).
fof(f23150,plain,
( ! [X0] :
( m2_fraenkel(X0,u1_struct_0(sK1314),u1_struct_0(sK1314),sF1316)
| ~ m1_subset_1(X0,sF1315) )
| ~ spl1317_563 ),
inference(avatar_component_clause,[],[f23149]) ).
fof(f23151,plain,
( spl1317_562
| spl1317_563 ),
inference(avatar_split_clause,[],[f23142,f23149,f23145]) ).
fof(f23156,plain,
( v3_struct_0(sK1314)
| ~ l1_struct_0(sK1314)
| ~ spl1317_562 ),
inference(resolution,[],[f23147,f15561]) ).
fof(f23157,plain,
( ~ l1_struct_0(sK1314)
| ~ spl1317_562 ),
inference(forward_subsumption_resolution,[],[f23156,f18127]) ).
fof(f23189,plain,
l1_struct_0(sK1314),
inference(resolution,[],[f16042,f18123]) ).
fof(f23190,plain,
( $false
| ~ spl1317_562 ),
inference(forward_subsumption_resolution,[],[f23189,f23157]) ).
fof(f23191,plain,
~ spl1317_562,
inference(avatar_contradiction_clause,[],[f23190]) ).
fof(f23205,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF1315)
| m1_subset_1(X0,sF1316)
| v1_xboole_0(u1_struct_0(sK1314))
| ~ m1_fraenkel(sF1316,u1_struct_0(sK1314),u1_struct_0(sK1314)) )
| ~ spl1317_563 ),
inference(resolution,[],[f23150,f14276]) ).
fof(f23206,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF1315)
| m1_subset_1(X0,sF1316)
| ~ m1_fraenkel(sF1316,u1_struct_0(sK1314),u1_struct_0(sK1314)) )
| spl1317_562
| ~ spl1317_563 ),
inference(forward_subsumption_resolution,[],[f23205,f23146]) ).
fof(f23207,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF1315)
| m1_subset_1(X0,sF1316) )
| spl1317_562
| ~ spl1317_563 ),
inference(forward_subsumption_resolution,[],[f23206,f23085]) ).
fof(f23270,plain,
! [X0,X1] :
( m1_subset_1(sK169(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(resolution,[],[f11441,f10959]) ).
fof(f23279,plain,
( ! [X0] :
( m1_subset_1(sK169(sF1315,X0),sF1316)
| r1_tarski(sF1315,X0) )
| spl1317_562
| ~ spl1317_563 ),
inference(resolution,[],[f23270,f23207]) ).
fof(f23282,plain,
( ! [X0] :
( r1_tarski(sF1315,X0)
| r2_hidden(sK169(sF1315,X0),sF1316)
| v1_xboole_0(sF1316) )
| spl1317_562
| ~ spl1317_563 ),
inference(resolution,[],[f23279,f11442]) ).
fof(f23283,plain,
( ! [X0] :
( r2_hidden(sK169(sF1315,X0),sF1316)
| r1_tarski(sF1315,X0) )
| spl1317_562
| ~ spl1317_563 ),
inference(forward_subsumption_resolution,[],[f23282,f23132]) ).
fof(f23284,plain,
( r1_tarski(sF1315,sF1316)
| r1_tarski(sF1315,sF1316)
| spl1317_562
| ~ spl1317_563 ),
inference(resolution,[],[f23283,f10960]) ).
fof(f23286,plain,
( r1_tarski(sF1315,sF1316)
| spl1317_562
| ~ spl1317_563 ),
inference(duplicate_literal_removal,[],[f23284]) ).
fof(f23287,plain,
( $false
| spl1317_562
| ~ spl1317_563 ),
inference(forward_subsumption_resolution,[],[f23286,f20113]) ).
fof(f23288,plain,
( spl1317_562
| ~ spl1317_563 ),
inference(avatar_contradiction_clause,[],[f23287]) ).
cnf(s486,plain,
( spl1317_562
| spl1317_563 ),
inference(sat_conversion,[],[f23151]) ).
cnf(s488,plain,
~ spl1317_562,
inference(sat_conversion,[],[f23191]) ).
cnf(s489,plain,
( spl1317_562
| ~ spl1317_563 ),
inference(sat_conversion,[],[f23288]) ).
cnf(s490,plain,
~ spl1317_563,
inference(rat,[],[s489,s488]) ).
cnf(s492,plain,
$false,
inference(rat,[],[s486,s490,s488]) ).
fof(f23289,plain,
$false,
inference(avatar_sat_refutation,[],[s492]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP623+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.34 % Computer : n012.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 27 10:09:35 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.37 Running first-order theorem proving
% 0.08/0.37 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
% 13.60/2.92 % (2152760)Detected formulas, will run a generic FOF schedule.
% 13.60/2.92 % (2152766)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=1583923238:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.60/2.92 % (2152767)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=3190691575:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.60/2.92 % (2152768)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=723427960:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.60/2.92 % (2152765)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=2817180732:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.60/2.92 % (2152769)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1083959615:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.60/2.92 % (2152770)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=30721091:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.60/2.92 % (2152771)dis-21_1_sil=8000:lcm=predicate:random_seed=1058226400:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 13.60/2.92 % (2152768)Refutation not found, incomplete strategy
% 13.60/2.92 % (2152768)------------------------------
% 13.60/2.92 % (2152768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.60/2.92 % (2152768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.60/2.92 % (2152768)CaDiCaL version: 2.1.3
% 13.60/2.92 % (2152768)Termination reason: Refutation not found, incomplete strategy
% 13.60/2.92 % (2152768)Time elapsed: 0.016 s
% 13.60/2.92 % (2152768)Peak memory usage: 93 MB
% 13.60/2.92 % (2152768)Instructions burned: 24 (million)
% 13.60/2.92 % (2152769)Instruction limit reached!
% 13.60/2.92 % (2152769)------------------------------
% 13.60/2.92 % (2152769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.60/2.92 % (2152769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.60/2.92 % (2152769)CaDiCaL version: 2.1.3
% 13.60/2.92 % (2152769)Termination reason: Instruction limit
% 13.60/2.92 % (2152769)Termination phase: Saturation
% 13.60/2.92 % (2152769)Time elapsed: 0.068 s
% 13.60/2.92 % (2152769)Peak memory usage: 94 MB
% 13.60/2.92 % (2152769)Instructions burned: 119 (million)
% 13.60/2.92 % (2152771)Instruction limit reached!
% 13.60/2.92 % (2152771)------------------------------
% 13.60/2.92 % (2152771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.60/2.92 % (2152771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.60/2.92 % (2152771)CaDiCaL version: 2.1.3
% 13.60/2.92 % (2152771)Termination reason: Instruction limit
% 13.60/2.92 % (2152771)Termination phase: Preprocessing 3
% 13.60/2.92 % (2152771)Time elapsed: 0.083 s
% 13.60/2.92 % (2152771)Peak memory usage: 94 MB
% 13.60/2.92 % (2152771)Instructions burned: 131 (million)
% 13.60/2.92 % (2152770)Instruction limit reached!
% 13.60/2.92 % (2152770)------------------------------
% 13.60/2.92 % (2152770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.60/2.92 % (2152770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.60/2.92 % (2152770)CaDiCaL version: 2.1.3
% 13.60/2.92 % (2152770)Termination reason: Instruction limit
% 13.60/2.92 % (2152770)Termination phase: Preprocessing 3
% 13.60/2.92 % (2152770)Time elapsed: 0.091 s
% 13.60/2.92 % (2152770)Peak memory usage: 94 MB
% 13.60/2.92 % (2152770)Instructions burned: 143 (million)
% 13.60/2.92 % (2152768)------------------------------
% 13.60/2.92 % (2152768)------------------------------
% 13.60/2.92 % (2152779)lrs+10_1_sil=8000:sp=occurrence:random_seed=2789243633:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 13.60/2.92 % (2152780)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1046624555:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 13.60/2.92 % (2152781)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1401612354:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 13.60/2.92 % (2152782)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=1682375388:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 15.26/3.34 % (2152780)Instruction limit reached!
% 15.26/3.34 % (2152780)------------------------------
% 15.26/3.34 % (2152780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.26/3.34 % (2152780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/3.34 % (2152780)CaDiCaL version: 2.1.3
% 15.26/3.34 % (2152780)Termination reason: Instruction limit
% 15.26/3.34 % (2152780)Termination phase: Saturation
% 15.26/3.34 % (2152780)Time elapsed: 0.078 s
% 15.26/3.34 % (2152780)Peak memory usage: 93 MB
% 15.26/3.34 % (2152780)Instructions burned: 158 (million)
% 15.26/3.34 % (2152779)Instruction limit reached!
% 15.26/3.34 % (2152779)------------------------------
% 15.26/3.34 % (2152779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.26/3.34 % (2152779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/3.34 % (2152779)CaDiCaL version: 2.1.3
% 15.26/3.34 % (2152779)Termination reason: Instruction limit
% 15.26/3.34 % (2152779)Termination phase: Saturation
% 15.26/3.34 % (2152779)Time elapsed: 0.164 s
% 15.26/3.34 % (2152779)Peak memory usage: 97 MB
% 15.26/3.34 % (2152779)Instructions burned: 286 (million)
% 15.26/3.34 % (2152782)Instruction limit reached!
% 15.26/3.34 % (2152782)------------------------------
% 15.26/3.34 % (2152782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.26/3.34 % (2152782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/3.34 % (2152782)CaDiCaL version: 2.1.3
% 15.26/3.34 % (2152782)Termination reason: Instruction limit
% 15.26/3.34 % (2152782)Termination phase: Property scanning
% 15.26/3.34 % (2152782)Time elapsed: 0.117 s
% 15.26/3.34 % (2152782)Peak memory usage: 97 MB
% 15.26/3.34 % (2152782)Instructions burned: 250 (million)
% 15.26/3.34 % (2152781)Instruction limit reached!
% 15.26/3.34 % (2152781)------------------------------
% 15.26/3.34 % (2152781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.26/3.34 % (2152781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/3.34 % (2152781)CaDiCaL version: 2.1.3
% 15.26/3.34 % (2152781)Termination reason: Instruction limit
% 15.26/3.34 % (2152781)Termination phase: Saturation
% 15.26/3.34 % (2152781)Time elapsed: 0.167 s
% 15.26/3.34 % (2152781)Peak memory usage: 95 MB
% 15.26/3.34 % (2152781)Instructions burned: 327 (million)
% 15.26/3.34 % (2152787)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1344212982:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 15.26/3.34 % (2152788)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4028331120:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 15.26/3.34 % (2152789)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1525231180:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 15.26/3.34 % (2152790)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1389700254:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 15.26/3.34 % (2152787)Instruction limit reached!
% 15.26/3.34 % (2152787)------------------------------
% 15.26/3.34 % (2152787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.26/3.34 % (2152787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/3.34 % (2152787)CaDiCaL version: 2.1.3
% 15.26/3.34 % (2152787)Termination reason: Instruction limit
% 15.26/3.34 % (2152787)Termination phase: Saturation
% 15.26/3.34 % (2152787)Time elapsed: 0.155 s
% 15.26/3.34 % (2152787)Peak memory usage: 97 MB
% 15.26/3.34 % (2152787)Instructions burned: 295 (million)
% 15.26/3.34 % (2152789)Instruction limit reached!
% 15.26/3.34 % (2152789)------------------------------
% 15.26/3.34 % (2152789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.26/3.34 % (2152789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/3.34 % (2152789)CaDiCaL version: 2.1.3
% 15.26/3.34 % (2152789)Termination reason: Instruction limit
% 15.26/3.34 % (2152789)Termination phase: Property scanning
% 15.26/3.34 % (2152789)Time elapsed: 0.064 s
% 15.26/3.34 % (2152789)Peak memory usage: 93 MB
% 15.26/3.34 % (2152789)Instructions burned: 116 (million)
% 15.26/3.34 % (2152790)Instruction limit reached!
% 15.26/3.34 % (2152790)------------------------------
% 15.26/3.34 % (2152790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.26/3.34 % (2152790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/3.34 % (2152790)CaDiCaL version: 2.1.3
% 15.26/3.34 % (2152790)Termination reason: Instruction limit
% 15.26/3.34 % (2152790)Termination phase: Clausification
% 15.26/3.34 % (2152790)Time elapsed: 0.081 s
% 15.26/3.34 % (2152790)Peak memory usage: 96 MB
% 15.26/3.34 % (2152790)Instructions burned: 128 (million)
% 15.26/3.34 % (2152795)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4097053899:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 15.26/3.34 % (2152796)lrs+10_1_sil=8000:sp=occurrence:random_seed=1133022951:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 15.26/3.34 % (2152795)Instruction limit reached!
% 15.26/3.34 % (2152795)------------------------------
% 15.26/3.34 % (2152795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.26/3.34 % (2152795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/3.34 % (2152795)CaDiCaL version: 2.1.3
% 15.26/3.34 % (2152795)Termination reason: Instruction limit
% 15.26/3.34 % (2152795)Termination phase: Unused predicate definition removal
% 15.26/3.34 % (2152795)Time elapsed: 0.057 s
% 15.26/3.34 % (2152795)Peak memory usage: 90 MB
% 15.26/3.34 % (2152795)Instructions burned: 115 (million)
% 15.26/3.34 % (2152797)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1026511328:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 15.26/3.34 % (2152800)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1209144754:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 15.26/3.34 % (2152797)Instruction limit reached!
% 15.26/3.34 % (2152797)------------------------------
% 15.26/3.34 % (2152797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.26/3.34 % (2152797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/3.34 % (2152797)CaDiCaL version: 2.1.3
% 15.26/3.34 % (2152797)Termination reason: Instruction limit
% 15.26/3.34 % (2152797)Termination phase: Saturation
% 15.26/3.34 % (2152797)Time elapsed: 0.221 s
% 15.26/3.34 % (2152797)Peak memory usage: 96 MB
% 15.26/3.34 % (2152797)Instructions burned: 439 (million)
% 15.26/3.34 % (2152796)Instruction limit reached!
% 15.26/3.34 % (2152796)------------------------------
% 15.26/3.34 % (2152796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.26/3.34 % (2152796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/3.34 % (2152796)CaDiCaL version: 2.1.3
% 15.26/3.34 % (2152796)Termination reason: Instruction limit
% 15.26/3.34 % (2152796)Termination phase: Saturation
% 15.26/3.34 % (2152796)Time elapsed: 0.465 s
% 15.26/3.34 % (2152796)Peak memory usage: 106 MB
% 15.26/3.34 % (2152796)Instructions burned: 908 (million)
% 15.26/3.34 % (2152803)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1047494491:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 15.26/3.34 % (2152803)Instruction limit reached!
% 15.26/3.34 % (2152803)------------------------------
% 15.26/3.34 % (2152803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.26/3.34 % (2152803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/3.34 % (2152803)CaDiCaL version: 2.1.3
% 15.26/3.34 % (2152803)Termination reason: Instruction limit
% 15.26/3.34 % (2152803)Termination phase: Saturation
% 15.26/3.34 % (2152803)Time elapsed: 0.076 s
% 15.26/3.34 % (2152803)Peak memory usage: 95 MB
% 15.26/3.34 % (2152803)Instructions burned: 135 (million)
% 15.26/3.34 % (2152804)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2398054159:st=8:i=592:sd=3:ep=RST:ss=axioms_2982 on theBenchmark for (2982ds/592Mi)
% 15.26/3.34 % (2152806)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2968211489:st=3:i=13193:sd=3:ss=axioms_2981 on theBenchmark for (2981ds/13193Mi)
% 15.26/3.34 % (2152788)Instruction limit reached!
% 15.26/3.34 % (2152788)------------------------------
% 15.26/3.34 % (2152788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.26/3.34 % (2152788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/3.34 % (2152788)CaDiCaL version: 2.1.3
% 15.26/3.34 % (2152788)Termination reason: Instruction limit
% 15.26/3.34 % (2152788)Termination phase: Saturation
% 15.26/3.34 % (2152788)Time elapsed: 1.189 s
% 15.26/3.34 % (2152788)Peak memory usage: 218 MB
% 15.26/3.34 % (2152788)Instructions burned: 2352 (million)
% 15.26/3.34 % (2152804)Refutation not found, incomplete strategy
% 15.26/3.34 % (2152804)------------------------------
% 15.26/3.34 % (2152804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.26/3.34 % (2152804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/3.34 % (2152804)CaDiCaL version: 2.1.3
% 15.26/3.34 % (2152804)Termination reason: Refutation not found, incomplete strategy
% 15.26/3.34 % (2152804)Time elapsed: 0.235 s
% 15.26/3.34 % (2152804)Peak memory usage: 105 MB
% 15.26/3.34 % (2152804)Instructions burned: 496 (million)
% 15.26/3.34 % (2152765)First to succeed.
% 15.26/3.34 % (2152765)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2152760"
% 15.26/3.34 % (2152809)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=3137696774:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/125Mi)
% 15.26/3.34 % (2152804)------------------------------
% 15.26/3.34 % (2152804)------------------------------
% 15.26/3.34 % (2152809)Instruction limit reached!
% 15.26/3.34 % (2152809)------------------------------
% 15.26/3.34 % (2152809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.26/3.34 % (2152809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/3.34 % (2152809)CaDiCaL version: 2.1.3
% 15.26/3.34 % (2152809)Termination reason: Instruction limit
% 15.26/3.34 % (2152809)Termination phase: Function definition elimination
% 15.26/3.34 % (2152809)Time elapsed: 0.072 s
% 15.26/3.34 % (2152809)Peak memory usage: 92 MB
% 15.26/3.34 % (2152809)Instructions burned: 125 (million)
% 15.26/3.34 % (2152811)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2427173236:i=134:gtgl=5:slsql=off:gtg=exists_sym_2975 on theBenchmark for (2975ds/134Mi)
% 15.26/3.34 % (2152765)Refutation found. Thanks to Tanya!
% 15.26/3.34 % SZS status Theorem for theBenchmark
% 15.26/3.34 % SZS output start Proof for theBenchmark
% See solution above
% 18.43/3.54 % (2152765)------------------------------
% 18.43/3.54 % (2152765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.43/3.54 % (2152765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.54 % (2152765)CaDiCaL version: 2.1.3
% 18.43/3.54 % (2152765)Termination reason: Refutation
% 18.43/3.54 % (2152765)Time elapsed: 2.057 s
% 18.43/3.54 % (2152765)Peak memory usage: 227 MB
% 18.43/3.54 % (2152765)Instructions burned: 4021 (million)
% 18.43/3.54 % (2152765)------------------------------
% 18.43/3.54 % (2152765)------------------------------
% 18.43/3.54 % (2152760)Success in time 2.639 s
% 18.43/3.54 % Vampire exiting
%------------------------------------------------------------------------------