%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP619+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:18:14 AM UTC 2026
% Result : Theorem 25.47s 6.52s
% Output : Refutation 25.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 13
% Syntax : Number of formulae : 92 ( 21 unt; 3 def)
% Number of atoms : 292 ( 11 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 328 ( 128 ~; 138 |; 45 &)
% ( 5 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 140 ( 136 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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/sandbox/benchmark/theBenchmark.p',t3_autgroup) ).
fof(f2,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)],[f1]) ).
fof(f13,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(f15,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(f21,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f26,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/sandbox/benchmark/theBenchmark.p',dt_m2_fraenkel) ).
fof(f40,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f58,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X1)
=> k1_fraenkel(X0,X1) = k1_funct_2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_fraenkel) ).
fof(f59,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(f62,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/sandbox/benchmark/theBenchmark.p',t12_funct_2) ).
fof(f63,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f77,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,[],[f2]) ).
fof(f78,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,[],[f77]) ).
fof(f95,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f98,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,[],[f15]) ).
fof(f99,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,[],[f98]) ).
fof(f101,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f103,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,[],[f26]) ).
fof(f104,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,[],[f103]) ).
fof(f112,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f113,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f112]) ).
fof(f118,plain,
! [X0,X1] :
( k1_fraenkel(X0,X1) = k1_funct_2(X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f58]) ).
fof(f119,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,[],[f59]) ).
fof(f120,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,[],[f119]) ).
fof(f121,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,[],[f62]) ).
fof(f122,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,[],[f121]) ).
fof(f123,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f63]) ).
fof(f132,plain,
( ~ r1_tarski(k1_autgroup(sK0),k1_fraenkel(u1_struct_0(sK0),u1_struct_0(sK0)))
& ~ v3_struct_0(sK0)
& v1_group_1(sK0)
& v3_group_1(sK0)
& v4_group_1(sK0)
& l1_group_1(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f78]) ).
fof(f133,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,[],[f95]) ).
fof(f134,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,[],[f133]) ).
fof(f135,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK1(X0,X1),X1)
& r2_hidden(sK1(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f134]) ).
fof(f157,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,[],[f120]) ).
fof(f160,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f132]) ).
fof(f161,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f132]) ).
fof(f162,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f132]) ).
fof(f163,plain,
v1_group_1(sK0),
inference(cnf_transformation,[],[f132]) ).
fof(f164,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f132]) ).
fof(f165,plain,
~ r1_tarski(k1_autgroup(sK0),k1_fraenkel(u1_struct_0(sK0),u1_struct_0(sK0))),
inference(cnf_transformation,[],[f132]) ).
fof(f185,plain,
! [X0,X1] :
( r2_hidden(sK1(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f186,plain,
! [X0,X1] :
( ~ r2_hidden(sK1(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f189,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,[],[f99]) ).
fof(f191,plain,
! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f194,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,[],[f104]) ).
fof(f195,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,[],[f104]) ).
fof(f196,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,[],[f104]) ).
fof(f212,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f252,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| k1_fraenkel(X0,X1) = k1_funct_2(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f254,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,[],[f157]) ).
fof(f258,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,[],[f122]) ).
fof(f259,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f268,definition,
sF23 = k1_autgroup(sK0),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f269,plain,
k1_autgroup(sK0) = sF23,
inference(reorient_equations,[],[f268]) ).
fof(f270,definition,
sF24 = u1_struct_0(sK0),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f271,plain,
u1_struct_0(sK0) = sF24,
inference(reorient_equations,[],[f270]) ).
fof(f272,definition,
sF25 = k1_fraenkel(sF24,sF24),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f273,plain,
k1_fraenkel(sF24,sF24) = sF25,
inference(reorient_equations,[],[f272]) ).
fof(f274,plain,
~ r1_tarski(sF23,sF25),
inference(definition_folding,[],[f165,f273,f271,f271,f269]) ).
fof(f279,plain,
l1_struct_0(sK0),
inference(resolution,[],[f191,f160]) ).
fof(f304,plain,
( ~ v1_xboole_0(sF24)
| v3_struct_0(sK0)
| ~ l1_struct_0(sK0) ),
inference(superposition,[],[f212,f271]) ).
fof(f305,plain,
( ~ v1_xboole_0(sF24)
| ~ l1_struct_0(sK0) ),
inference(forward_subsumption_resolution,[],[f304,f164]) ).
fof(f306,plain,
~ v1_xboole_0(sF24),
inference(forward_subsumption_resolution,[],[f305,f279]) ).
fof(f328,plain,
! [X0,X1] :
( m1_subset_1(sK1(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(resolution,[],[f185,f259]) ).
fof(f361,plain,
! [X0] : k1_fraenkel(X0,sF24) = k1_funct_2(X0,sF24),
inference(resolution,[],[f252,f306]) ).
fof(f366,plain,
sF25 = k1_funct_2(sF24,sF24),
inference(superposition,[],[f273,f361]) ).
fof(f426,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X1,X3,X2)
| v1_funct_1(X0)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X1,X3,X2) ),
inference(resolution,[],[f254,f196]) ).
fof(f427,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X1,X3,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,X1)
| v1_funct_1(X0) ),
inference(duplicate_literal_removal,[],[f426]) ).
fof(f431,plain,
! [X2,X3,X0,X1] :
( m2_relset_1(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X3,X1,X2)
| ~ m1_subset_1(X0,X3)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X3,X1,X2) ),
inference(resolution,[],[f194,f254]) ).
fof(f432,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2)
| m2_relset_1(X0,X1,X2)
| ~ m1_subset_1(X0,X3) ),
inference(duplicate_literal_removal,[],[f431]) ).
fof(f438,plain,
! [X2,X3,X0,X1] :
( v1_funct_2(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X3,X1,X2)
| ~ m1_subset_1(X0,X3)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X3,X1,X2) ),
inference(resolution,[],[f195,f254]) ).
fof(f439,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2)
| v1_funct_2(X0,X1,X2)
| ~ m1_subset_1(X0,X3) ),
inference(duplicate_literal_removal,[],[f438]) ).
fof(f447,plain,
! [X0,X1] :
( ~ m2_relset_1(sK1(X0,k1_funct_2(X1,X1)),X1,X1)
| ~ v1_funct_2(sK1(X0,k1_funct_2(X1,X1)),X1,X1)
| ~ v1_funct_1(sK1(X0,k1_funct_2(X1,X1)))
| r1_tarski(X0,k1_funct_2(X1,X1)) ),
inference(resolution,[],[f258,f186]) ).
fof(f477,plain,
( m1_fraenkel(k1_autgroup(sK0),sF24,sF24)
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(superposition,[],[f189,f271]) ).
fof(f478,plain,
( m1_fraenkel(k1_autgroup(sK0),sF24,sF24)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f477,f164]) ).
fof(f480,plain,
( m1_fraenkel(k1_autgroup(sK0),sF24,sF24)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f478,f163]) ).
fof(f482,plain,
( m1_fraenkel(k1_autgroup(sK0),sF24,sF24)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f480,f162]) ).
fof(f484,plain,
( m1_fraenkel(k1_autgroup(sK0),sF24,sF24)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f482,f161]) ).
fof(f486,plain,
m1_fraenkel(k1_autgroup(sK0),sF24,sF24),
inference(forward_subsumption_resolution,[],[f484,f160]) ).
fof(f488,plain,
m1_fraenkel(sF23,sF24,sF24),
inference(forward_demodulation,[],[f486,f269]) ).
fof(f773,plain,
! [X0] :
( v1_xboole_0(sF24)
| ~ m1_subset_1(X0,sF23)
| v1_funct_1(X0) ),
inference(resolution,[],[f427,f488]) ).
fof(f776,plain,
! [X0] :
( ~ m1_subset_1(X0,sF23)
| v1_funct_1(X0) ),
inference(forward_subsumption_resolution,[],[f773,f306]) ).
fof(f903,plain,
! [X0] :
( v1_xboole_0(sF24)
| m2_relset_1(X0,sF24,sF24)
| ~ m1_subset_1(X0,sF23) ),
inference(resolution,[],[f432,f488]) ).
fof(f906,plain,
! [X0] :
( m2_relset_1(X0,sF24,sF24)
| ~ m1_subset_1(X0,sF23) ),
inference(forward_subsumption_resolution,[],[f903,f306]) ).
fof(f936,plain,
! [X0] :
( v1_xboole_0(sF24)
| v1_funct_2(X0,sF24,sF24)
| ~ m1_subset_1(X0,sF23) ),
inference(resolution,[],[f439,f488]) ).
fof(f939,plain,
! [X0] :
( v1_funct_2(X0,sF24,sF24)
| ~ m1_subset_1(X0,sF23) ),
inference(forward_subsumption_resolution,[],[f936,f306]) ).
fof(f1068,plain,
! [X0] :
( ~ v1_funct_2(sK1(X0,k1_funct_2(sF24,sF24)),sF24,sF24)
| ~ v1_funct_1(sK1(X0,k1_funct_2(sF24,sF24)))
| r1_tarski(X0,k1_funct_2(sF24,sF24))
| ~ m1_subset_1(sK1(X0,k1_funct_2(sF24,sF24)),sF23) ),
inference(resolution,[],[f447,f906]) ).
fof(f1070,plain,
! [X0] :
( ~ v1_funct_1(sK1(X0,k1_funct_2(sF24,sF24)))
| r1_tarski(X0,k1_funct_2(sF24,sF24))
| ~ m1_subset_1(sK1(X0,k1_funct_2(sF24,sF24)),sF23) ),
inference(forward_subsumption_resolution,[],[f1068,f939]) ).
fof(f1072,plain,
! [X0] :
( r1_tarski(X0,k1_funct_2(sF24,sF24))
| ~ m1_subset_1(sK1(X0,k1_funct_2(sF24,sF24)),sF23) ),
inference(forward_subsumption_resolution,[],[f1070,f776]) ).
fof(f1074,plain,
! [X0] :
( r1_tarski(X0,sF25)
| ~ m1_subset_1(sK1(X0,k1_funct_2(sF24,sF24)),sF23) ),
inference(forward_demodulation,[],[f1072,f366]) ).
fof(f1076,plain,
! [X0] :
( ~ m1_subset_1(sK1(X0,sF25),sF23)
| r1_tarski(X0,sF25) ),
inference(forward_demodulation,[],[f1074,f366]) ).
fof(f1123,plain,
( r1_tarski(sF23,sF25)
| r1_tarski(sF23,sF25) ),
inference(resolution,[],[f1076,f328]) ).
fof(f1124,plain,
r1_tarski(sF23,sF25),
inference(duplicate_literal_removal,[],[f1123]) ).
fof(f1125,plain,
$false,
inference(forward_subsumption_resolution,[],[f1124,f274]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP619+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.41 % Computer : n005.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sun Sep 27 10:09:08 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.47 Running first-order model finding
% 0.15/0.47 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.38/3.67 % (3771811)Will run a generic schedule for satisfiability detection.
% 21.38/3.67 % (3771816)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2578486913_2999 on theBenchmark for (2999ds/0Mi)
% 21.38/3.67 % TRYING [1]
% 21.38/3.67 % TRYING [2]
% 21.38/3.67 % TRYING [3]
% 21.38/3.67 % (3771817)% WARNING: option uhcvi not known.
% 21.38/3.67 % TRYING [4]
% 21.38/3.67 % (3771817)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=537084025:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 21.38/3.67 % (3771818)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2053281785:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 21.38/3.67 % (3771822)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3031466282:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 21.38/3.67 % (3771819)dis+10_1_sil=32000:sp=arity:random_seed=2684435255:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 21.38/3.67 % (3771821)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3016525252:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 21.38/3.67 % (3771820)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3485539793:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 21.38/3.67 % TRYING [5]
% 21.38/3.67 % TRYING [6]
% 21.38/3.67 % (3771819)Instruction limit reached!
% 21.38/3.67 % (3771819)------------------------------
% 21.38/3.67 % (3771819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.38/3.67 % (3771819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/3.67 % (3771819)CaDiCaL version: 2.1.3
% 21.38/3.67 % (3771819)Termination reason: Instruction limit
% 21.38/3.67 % (3771819)Termination phase: Saturation
% 21.38/3.67 % (3771819)Time elapsed: 0.116 s
% 21.38/3.67 % (3771819)Peak memory usage: 13 MB
% 21.38/3.67 % (3771819)Instructions burned: 103 (million)
% 21.38/3.67 % (3771820)Instruction limit reached!
% 21.38/3.67 % (3771820)------------------------------
% 21.38/3.67 % (3771820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.38/3.67 % (3771820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/3.67 % (3771820)CaDiCaL version: 2.1.3
% 21.38/3.67 % (3771820)Termination reason: Instruction limit
% 21.38/3.67 % (3771820)Termination phase: Saturation
% 21.38/3.67 % (3771820)Time elapsed: 0.126 s
% 21.38/3.67 % (3771820)Peak memory usage: 12 MB
% 21.38/3.67 % (3771820)Instructions burned: 116 (million)
% 21.38/3.67 % (3771821)Instruction limit reached!
% 21.38/3.67 % (3771821)------------------------------
% 21.38/3.67 % (3771821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.38/3.67 % (3771821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/3.67 % (3771821)CaDiCaL version: 2.1.3
% 21.38/3.67 % (3771821)Termination reason: Instruction limit
% 21.38/3.67 % (3771821)Termination phase: Saturation
% 21.38/3.67 % (3771821)Time elapsed: 0.147 s
% 21.38/3.67 % (3771821)Peak memory usage: 13 MB
% 21.38/3.67 % (3771821)Instructions burned: 131 (million)
% 21.38/3.67 % (3771830)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3079261934:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 21.38/3.67 % (3771831)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2257782774:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 21.38/3.67 % TRYING [1]
% 21.38/3.67 % (3771822)Instruction limit reached!
% 21.38/3.67 % (3771822)------------------------------
% 21.38/3.67 % (3771822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.38/3.67 % (3771822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/3.67 % (3771822)CaDiCaL version: 2.1.3
% 21.38/3.67 % (3771822)Termination reason: Instruction limit
% 21.38/3.67 % (3771822)Termination phase: Saturation
% 21.38/3.67 % (3771822)Time elapsed: 0.168 s
% 21.38/3.67 % (3771822)Peak memory usage: 12 MB
% 21.38/3.67 % (3771822)Instructions burned: 159 (million)
% 21.38/3.67 % TRYING [2]
% 21.38/3.67 % TRYING [3]
% 21.38/3.67 % TRYING [4]
% 21.38/3.67 % (3771832)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1509369397:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2997 on theBenchmark for (2997ds/684Mi)
% 21.38/3.67 % TRYING [7]
% 21.38/3.67 % (3771835)ott-21_1_sil=16000:fs=off:random_seed=2202323109:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 21.38/3.67 % TRYING [5]
% 21.38/3.67 % TRYING [6]
% 21.38/3.67 % (3771831)Instruction limit reached!
% 21.38/3.67 % (3771831)------------------------------
% 21.38/3.67 % (3771831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.47/6.52 % (3771831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.47/6.52 % (3771831)CaDiCaL version: 2.1.3
% 25.47/6.52 % (3771831)Termination reason: Instruction limit
% 25.47/6.52 % (3771831)Termination phase: Saturation
% 25.47/6.52 % (3771831)Time elapsed: 0.147 s
% 25.47/6.52 % (3771831)Peak memory usage: 13 MB
% 25.47/6.52 % (3771831)Instructions burned: 131 (million)
% 25.47/6.52 % (3771838)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=253553130:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 25.47/6.52 % (3771835)Instruction limit reached!
% 25.47/6.52 % (3771835)------------------------------
% 25.47/6.52 % (3771835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.47/6.52 % (3771835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.47/6.52 % (3771835)CaDiCaL version: 2.1.3
% 25.47/6.52 % (3771835)Termination reason: Instruction limit
% 25.47/6.52 % (3771835)Termination phase: Saturation
% 25.47/6.52 % (3771835)Time elapsed: 0.163 s
% 25.47/6.52 % (3771835)Peak memory usage: 12 MB
% 25.47/6.52 % (3771835)Instructions burned: 180 (million)
% 25.47/6.52 % (3771840)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2165422790:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 25.47/6.52 % TRYING [1]
% 25.47/6.52 % TRYING [2]
% 25.47/6.52 % TRYING [3]
% 25.47/6.52 % TRYING [4]
% 25.47/6.52 % TRYING [5]
% 25.47/6.52 % TRYING [7]
% 25.47/6.52 % TRYING [6]
% 25.47/6.52 % (3771830)Instruction limit reached!
% 25.47/6.52 % (3771830)------------------------------
% 25.47/6.52 % (3771830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.47/6.52 % (3771830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.47/6.52 % (3771830)CaDiCaL version: 2.1.3
% 25.47/6.52 % (3771830)Termination reason: Instruction limit
% 25.47/6.52 % (3771830)Termination phase: Finite model building constraint generation
% 25.47/6.52 % (3771830)Time elapsed: 0.571 s
% 25.47/6.52 % (3771830)Peak memory usage: 25 MB
% 25.47/6.52 % (3771830)Instructions burned: 715 (million)
% 25.47/6.52 % (3771842)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3273894166:i=1179_2992 on theBenchmark for (2992ds/1179Mi)
% 25.47/6.52 % (3771832)Instruction limit reached!
% 25.47/6.52 % (3771832)------------------------------
% 25.47/6.52 % (3771832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.47/6.52 % (3771832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.47/6.52 % (3771832)CaDiCaL version: 2.1.3
% 25.47/6.52 % (3771832)Termination reason: Instruction limit
% 25.47/6.52 % (3771832)Termination phase: Saturation
% 25.47/6.52 % (3771832)Time elapsed: 0.641 s
% 25.47/6.52 % (3771832)Peak memory usage: 18 MB
% 25.47/6.52 % (3771832)Instructions burned: 684 (million)
% 25.47/6.52 % (3771844)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2191107340:i=889:ins=1_2991 on theBenchmark for (2991ds/889Mi)
% 25.47/6.52 % TRYING [7]
% 25.47/6.52 % (3771838)Instruction limit reached!
% 25.47/6.52 % (3771838)------------------------------
% 25.47/6.52 % (3771838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.47/6.52 % (3771838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.47/6.52 % (3771838)CaDiCaL version: 2.1.3
% 25.47/6.52 % (3771838)Termination reason: Instruction limit
% 25.47/6.52 % (3771838)Termination phase: Saturation
% 25.47/6.52 % (3771838)Time elapsed: 0.575 s
% 25.47/6.52 % (3771838)Peak memory usage: 14 MB
% 25.47/6.52 % (3771838)Instructions burned: 477 (million)
% 25.47/6.52 % (3771846)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1319141702:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2990 on theBenchmark for (2990ds/692Mi)
% 25.47/6.52 % TRYING [14]
% 25.47/6.52 % (3771840)Instruction limit reached!
% 25.47/6.52 % (3771840)------------------------------
% 25.47/6.52 % (3771840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.47/6.52 % (3771840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.47/6.52 % (3771840)CaDiCaL version: 2.1.3
% 25.47/6.52 % (3771840)Termination reason: Instruction limit
% 25.47/6.52 % (3771840)Termination phase: Finite model building constraint generation
% 25.47/6.52 % (3771840)Time elapsed: 0.619 s
% 25.47/6.52 % (3771840)Peak memory usage: 21 MB
% 25.47/6.52 % (3771840)Instructions burned: 865 (million)
% 25.47/6.52 % (3771848)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=879351444:i=879:kws=inv_precedence:fsr=off_2989 on theBenchmark for (2989ds/879Mi)
% 25.47/6.52 % (3771844)Instruction limit reached!
% 25.47/6.52 % (3771844)------------------------------
% 25.47/6.52 % (3771844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.47/6.52 % (3771844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.47/6.52 % (3771844)CaDiCaL version: 2.1.3
% 25.47/6.52 % (3771844)Termination reason: Instruction limit
% 25.47/6.52 % (3771844)Termination phase: Finite model building constraint generation
% 25.47/6.52 % (3771844)Time elapsed: 0.662 s
% 25.47/6.52 % (3771844)Peak memory usage: 83 MB
% 25.47/6.52 % (3771844)Instructions burned: 890 (million)
% 25.47/6.52 % (3771850)fmb+10_1_sil=64000:random_seed=1008539506:i=22061:nm=2:gsp=on_2983 on theBenchmark for (2983ds/22061Mi)
% 25.47/6.52 % TRYING [1]
% 25.47/6.52 % TRYING [2]
% 25.47/6.52 % TRYING [3]
% 25.47/6.52 % TRYING [4]
% 25.47/6.52 % TRYING [5]
% 25.47/6.52 % (3771846)Instruction limit reached!
% 25.47/6.52 % (3771846)------------------------------
% 25.47/6.52 % (3771846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.47/6.52 % (3771846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.47/6.52 % (3771846)CaDiCaL version: 2.1.3
% 25.47/6.52 % (3771846)Termination reason: Instruction limit
% 25.47/6.52 % (3771846)Termination phase: Saturation
% 25.47/6.52 % (3771846)Time elapsed: 0.634 s
% 25.47/6.52 % (3771846)Peak memory usage: 17 MB
% 25.47/6.52 % (3771846)Instructions burned: 693 (million)
% 25.47/6.52 % TRYING [6]
% 25.47/6.52 % (3771852)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1111327377:i=9515:nm=5_2983 on theBenchmark for (2983ds/9515Mi)
% 25.47/6.52 % TRYING [20]
% 25.47/6.52 % TRYING [7]
% 25.47/6.52 % TRYING [8]
% 25.47/6.52 % (3771848)Instruction limit reached!
% 25.47/6.52 % (3771848)------------------------------
% 25.47/6.52 % (3771848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.47/6.52 % (3771848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.47/6.52 % (3771848)CaDiCaL version: 2.1.3
% 25.47/6.52 % (3771848)Termination reason: Instruction limit
% 25.47/6.52 % (3771848)Termination phase: Saturation
% 25.47/6.52 % (3771848)Time elapsed: 0.837 s
% 25.47/6.52 % (3771848)Peak memory usage: 19 MB
% 25.47/6.52 % (3771848)Instructions burned: 879 (million)
% 25.47/6.52 % (3771854)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1242499546:fmbsr=1.7:i=920_2980 on theBenchmark for (2980ds/920Mi)
% 25.47/6.52 % TRYING [8]
% 25.47/6.52 % (3771842)Instruction limit reached!
% 25.47/6.52 % (3771842)------------------------------
% 25.47/6.52 % (3771842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.47/6.52 % (3771842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.47/6.52 % (3771842)CaDiCaL version: 2.1.3
% 25.47/6.52 % (3771842)Termination reason: Instruction limit
% 25.47/6.52 % (3771842)Termination phase: Saturation
% 25.47/6.52 % (3771842)Time elapsed: 1.178 s
% 25.47/6.52 % (3771842)Peak memory usage: 27 MB
% 25.47/6.52 % (3771842)Instructions burned: 1180 (million)
% 25.47/6.52 % (3771856)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1876406386:i=5131_2979 on theBenchmark for (2979ds/5131Mi)
% 25.47/6.52 % TRYING [8]
% 25.47/6.52 % (3771854)Instruction limit reached!
% 25.47/6.52 % (3771854)------------------------------
% 25.47/6.52 % (3771854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.47/6.52 % (3771854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.47/6.52 % (3771854)CaDiCaL version: 2.1.3
% 25.47/6.52 % (3771854)Termination reason: Instruction limit
% 25.47/6.52 % (3771854)Termination phase: Finite model building SAT solving
% 25.47/6.52 % (3771854)Time elapsed: 0.521 s
% 25.47/6.52 % (3771854)Peak memory usage: 44 MB
% 25.47/6.52 % (3771854)Instructions burned: 922 (million)
% 25.47/6.52 % (3771858)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2641558560:i=1472:ins=7:fdi=8:gsp=on_2974 on theBenchmark for (2974ds/1472Mi)
% 25.47/6.52 % (3771858)Instruction limit reached!
% 25.47/6.52 % (3771858)------------------------------
% 25.47/6.52 % (3771858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.47/6.52 % (3771858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.47/6.52 % (3771858)CaDiCaL version: 2.1.3
% 25.47/6.52 % (3771858)Termination reason: Instruction limit
% 25.47/6.52 % (3771858)Termination phase: Saturation
% 25.47/6.52 % (3771858)Time elapsed: 0.599 s
% 25.47/6.52 % (3771858)Peak memory usage: 18 MB
% 25.47/6.52 % (3771858)Instructions burned: 1473 (million)
% 25.47/6.52 % (3771860)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4091066585:i=6324_2968 on theBenchmark for (2968ds/6324Mi)
% 25.47/6.52 % TRYING [77]
% 25.47/6.52 % (3771856)Instruction limit reached!
% 25.47/6.52 % (3771856)------------------------------
% 25.47/6.52 % (3771856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.47/6.52 % (3771856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.47/6.52 % (3771856)CaDiCaL version: 2.1.3
% 25.47/6.52 % (3771856)Termination reason: Instruction limit
% 25.47/6.52 % (3771856)Termination phase: Saturation
% 25.47/6.52 % (3771856)Time elapsed: 3.091 s
% 25.47/6.52 % (3771856)Peak memory usage: 36 MB
% 25.47/6.52 % (3771856)Instructions burned: 5132 (million)
% 25.47/6.52 % (3771862)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1885957504:fmbsr=2.30978:i=2174_2948 on theBenchmark for (2948ds/2174Mi)
% 25.47/6.52 % TRYING [16]
% 25.47/6.52 % (3771860)Instruction limit reached!
% 25.47/6.52 % (3771860)------------------------------
% 25.47/6.52 % (3771860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.47/6.52 % (3771860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.47/6.52 % (3771860)CaDiCaL version: 2.1.3
% 25.47/6.52 % (3771860)Termination reason: Instruction limit
% 25.47/6.52 % (3771860)Termination phase: Finite model building constraint generation
% 25.47/6.52 % (3771860)Time elapsed: 2.303 s
% 25.47/6.52 % (3771860)Peak memory usage: 495 MB
% 25.47/6.52 % (3771860)Instructions burned: 6326 (million)
% 25.47/6.52 % (3771864)ott-2_1_sil=16000:newcnf=on:random_seed=2161364291:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2944 on theBenchmark for (2944ds/869Mi)
% 25.47/6.52 % (3771862)Instruction limit reached!
% 25.47/6.52 % (3771862)------------------------------
% 25.47/6.52 % (3771862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.47/6.52 % (3771862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.47/6.52 % (3771862)CaDiCaL version: 2.1.3
% 25.47/6.52 % (3771862)Termination reason: Instruction limit
% 25.47/6.52 % (3771862)Termination phase: Finite model building constraint generation
% 25.47/6.52 % (3771862)Time elapsed: 0.726 s
% 25.47/6.52 % (3771862)Peak memory usage: 133 MB
% 25.47/6.52 % (3771862)Instructions burned: 2174 (million)
% 25.47/6.52 % (3771866)ott+10_1_sil=32000:tgt=ground:random_seed=511251501:i=5114:av=off_2940 on theBenchmark for (2940ds/5114Mi)
% 25.47/6.52 % (3771866) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3771811-3771866"...
% 25.47/6.52 % (3771866)...printing done.
% 25.47/6.52 % (3771866)Refutation found. Thanks to Tanya!
% 25.47/6.52 % SZS status Theorem for theBenchmark
% 25.47/6.52 % SZS output start Proof for theBenchmark
% See solution above
% 25.47/6.52 % (3771866)------------------------------
% 25.47/6.52 % (3771866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.47/6.52 % (3771866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.47/6.52 % (3771866)CaDiCaL version: 2.1.3
% 25.47/6.52 % (3771866)Termination reason: Refutation
% 25.47/6.52 % (3771866)Time elapsed: 0.026 s
% 25.47/6.52 % (3771866)Peak memory usage: 12 MB
% 25.47/6.52 % (3771866)Instructions burned: 38 (million)
% 25.47/6.52 % (3771811)Success in time 6.037 s
% 25.47/6.52 % Vampire exiting
%------------------------------------------------------------------------------