%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU450+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 12:53:22 PM UTC 2026
% Result : Theorem 22.61s 6.85s
% Output : Refutation 22.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 18
% Syntax : Number of formulae : 138 ( 42 unt; 9 def)
% Number of atoms : 371 ( 43 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 437 ( 204 ~; 197 |; 16 &)
% ( 4 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 14 con; 0-4 aty)
% Number of variables : 147 ( 142 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X0,X1)
=> ( k8_relset_2(X0,X1,X2,X4) = k8_relset_2(X0,X1,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4)),X4)
& k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)) = k8_relset_2(X1,X0,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4),k6_relset_1(X0,X1,X4)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t64_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X0,X1)
=> ( k8_relset_2(X0,X1,X2,X4) = k8_relset_2(X0,X1,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4)),X4)
& k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)) = k8_relset_2(X1,X0,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4),k6_relset_1(X0,X1,X4)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f6,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f15,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relset_1) ).
fof(f18,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
=> m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_relset_2) ).
fof(f24,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f47,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f48,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f51,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( r1_tarski(X2,X3)
=> r1_tarski(k8_relset_2(X0,X1,X3,X4),k8_relset_2(X0,X1,X2,X4)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_relset_2) ).
fof(f55,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X0,X1)
=> ( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
<=> r1_tarski(X3,k8_relset_2(X0,X1,X2,X4)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t61_relset_2) ).
fof(f59,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f48]) ).
fof(f66,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ( k8_relset_2(X0,X1,X2,X4) != k8_relset_2(X0,X1,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4)),X4)
| k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)) != k8_relset_2(X1,X0,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4),k6_relset_1(X0,X1,X4)) )
& m2_relset_1(X4,X0,X1) )
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f2]) ).
fof(f74,plain,
! [X0,X1,X2] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f76,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f18]) ).
fof(f77,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(flattening,[],[f76]) ).
fof(f80,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( r1_tarski(k8_relset_2(X0,X1,X3,X4),k8_relset_2(X0,X1,X2,X4))
| ~ r1_tarski(X2,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f51]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( r1_tarski(k8_relset_2(X0,X1,X3,X4),k8_relset_2(X0,X1,X2,X4))
| ~ r1_tarski(X2,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f95]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( ( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
<=> r1_tarski(X3,k8_relset_2(X0,X1,X2,X4)) )
| ~ m2_relset_1(X4,X0,X1) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f55]) ).
fof(f104,plain,
( ( k8_relset_2(sK0,sK1,sK2,sK4) != k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4)),sK4)
| k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)) != k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4),k6_relset_1(sK0,sK1,sK4)) )
& m2_relset_1(sK4,sK0,sK1)
& m1_subset_1(sK3,k1_zfmisc_1(sK1))
& m1_subset_1(sK2,k1_zfmisc_1(sK0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f66]) ).
fof(f105,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f106,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f105]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( ( ( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
| ~ r1_tarski(X3,k8_relset_2(X0,X1,X2,X4)) )
& ( r1_tarski(X3,k8_relset_2(X0,X1,X2,X4))
| ~ r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4))) ) )
| ~ m2_relset_1(X4,X0,X1) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f100]) ).
fof(f120,plain,
m1_subset_1(sK2,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f104]) ).
fof(f121,plain,
m1_subset_1(sK3,k1_zfmisc_1(sK1)),
inference(cnf_transformation,[],[f104]) ).
fof(f122,plain,
m2_relset_1(sK4,sK0,sK1),
inference(cnf_transformation,[],[f104]) ).
fof(f123,plain,
( k8_relset_2(sK0,sK1,sK2,sK4) != k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4)),sK4)
| k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)) != k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4),k6_relset_1(sK0,sK1,sK4)) ),
inference(cnf_transformation,[],[f104]) ).
fof(f129,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f106]) ).
fof(f135,plain,
! [X2,X0,X1] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f137,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f77]) ).
fof(f140,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f171,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f173,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f59]) ).
fof(f176,plain,
! [X2,X3,X0,X1,X4] :
( r1_tarski(k8_relset_2(X0,X1,X3,X4),k8_relset_2(X0,X1,X2,X4))
| ~ r1_tarski(X2,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f181,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
| r1_tarski(X3,k8_relset_2(X0,X1,X2,X4))
| ~ m2_relset_1(X4,X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f119]) ).
fof(f182,plain,
! [X2,X3,X0,X1,X4] :
( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
| ~ r1_tarski(X3,k8_relset_2(X0,X1,X2,X4))
| ~ m2_relset_1(X4,X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f119]) ).
fof(f188,definition,
sF15 = k8_relset_2(sK0,sK1,sK2,sK4),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f189,plain,
k8_relset_2(sK0,sK1,sK2,sK4) = sF15,
inference(reorient_equations,[],[f188]) ).
fof(f190,definition,
sF16 = k6_relset_1(sK0,sK1,sK4),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f191,plain,
k6_relset_1(sK0,sK1,sK4) = sF16,
inference(reorient_equations,[],[f190]) ).
fof(f192,definition,
sF17 = k8_relset_2(sK1,sK0,sF15,sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f193,plain,
k8_relset_2(sK1,sK0,sF15,sF16) = sF17,
inference(reorient_equations,[],[f192]) ).
fof(f194,definition,
sF18 = k8_relset_2(sK0,sK1,sF17,sK4),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f195,plain,
k8_relset_2(sK0,sK1,sF17,sK4) = sF18,
inference(reorient_equations,[],[f194]) ).
fof(f196,definition,
sF19 = k8_relset_2(sK1,sK0,sK3,sF16),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f197,plain,
k8_relset_2(sK1,sK0,sK3,sF16) = sF19,
inference(reorient_equations,[],[f196]) ).
fof(f198,definition,
sF20 = k8_relset_2(sK0,sK1,sF19,sK4),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f199,plain,
k8_relset_2(sK0,sK1,sF19,sK4) = sF20,
inference(reorient_equations,[],[f198]) ).
fof(f200,definition,
sF21 = k8_relset_2(sK1,sK0,sF20,sF16),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f201,plain,
k8_relset_2(sK1,sK0,sF20,sF16) = sF21,
inference(reorient_equations,[],[f200]) ).
fof(f202,plain,
( sF19 != sF21
| sF15 != sF18 ),
inference(definition_folding,[],[f123,f201,f191,f199,f197,f191,f197,f191,f195,f193,f191,f189,f189]) ).
fof(f203,definition,
sF22 = k1_zfmisc_1(sK1),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f204,plain,
k1_zfmisc_1(sK1) = sF22,
inference(reorient_equations,[],[f203]) ).
fof(f205,plain,
m1_subset_1(sK3,sF22),
inference(definition_folding,[],[f121,f204]) ).
fof(f206,definition,
sF23 = k1_zfmisc_1(sK0),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f207,plain,
k1_zfmisc_1(sK0) = sF23,
inference(reorient_equations,[],[f206]) ).
fof(f208,plain,
m1_subset_1(sK2,sF23),
inference(definition_folding,[],[f120,f207]) ).
fof(f297,plain,
m1_relset_1(sK4,sK0,sK1),
inference(resolution,[],[f171,f122]) ).
fof(f377,plain,
( m2_relset_1(sF16,sK1,sK0)
| ~ m1_relset_1(sK4,sK0,sK1) ),
inference(superposition,[],[f135,f191]) ).
fof(f378,plain,
m2_relset_1(sF16,sK1,sK0),
inference(forward_subsumption_resolution,[],[f377,f297]) ).
fof(f443,plain,
( m1_subset_1(sF15,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(superposition,[],[f137,f189]) ).
fof(f445,plain,
( m1_subset_1(sF20,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sF19,k1_zfmisc_1(sK0))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(superposition,[],[f137,f199]) ).
fof(f446,plain,
( m1_subset_1(sF17,k1_zfmisc_1(sK0))
| ~ m1_subset_1(sF15,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sF16,k1_zfmisc_1(k2_zfmisc_1(sK1,sK0))) ),
inference(superposition,[],[f137,f193]) ).
fof(f447,plain,
( m1_subset_1(sF19,k1_zfmisc_1(sK0))
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sF16,k1_zfmisc_1(k2_zfmisc_1(sK1,sK0))) ),
inference(superposition,[],[f137,f197]) ).
fof(f452,plain,
( m1_subset_1(sF19,sF23)
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sF16,k1_zfmisc_1(k2_zfmisc_1(sK1,sK0))) ),
inference(forward_demodulation,[],[f447,f207]) ).
fof(f453,plain,
( m1_subset_1(sF17,sF23)
| ~ m1_subset_1(sF15,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sF16,k1_zfmisc_1(k2_zfmisc_1(sK1,sK0))) ),
inference(forward_demodulation,[],[f446,f207]) ).
fof(f454,plain,
( m1_subset_1(sF20,sF22)
| ~ m1_subset_1(sF19,k1_zfmisc_1(sK0))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(forward_demodulation,[],[f445,f204]) ).
fof(f456,plain,
( m1_subset_1(sF15,sF22)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(forward_demodulation,[],[f443,f204]) ).
fof(f459,plain,
( ~ m1_subset_1(sK3,sF22)
| m1_subset_1(sF19,sF23)
| ~ m1_subset_1(sF16,k1_zfmisc_1(k2_zfmisc_1(sK1,sK0))) ),
inference(forward_demodulation,[],[f452,f204]) ).
fof(f460,plain,
( ~ m1_subset_1(sF16,k1_zfmisc_1(k2_zfmisc_1(sK1,sK0)))
| m1_subset_1(sF17,sF23)
| ~ m1_subset_1(sF15,sF22) ),
inference(forward_demodulation,[],[f453,f204]) ).
fof(f461,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| m1_subset_1(sF20,sF22)
| ~ m1_subset_1(sF19,sF23) ),
inference(forward_demodulation,[],[f454,f207]) ).
fof(f463,plain,
( ~ m1_subset_1(sK2,sF23)
| m1_subset_1(sF15,sF22)
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(forward_demodulation,[],[f456,f207]) ).
fof(f464,plain,
( ~ m1_subset_1(sF16,k1_zfmisc_1(k2_zfmisc_1(sK1,sK0)))
| m1_subset_1(sF19,sF23) ),
inference(forward_subsumption_resolution,[],[f459,f205]) ).
fof(f465,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| m1_subset_1(sF15,sF22) ),
inference(forward_subsumption_resolution,[],[f463,f208]) ).
fof(f497,plain,
! [X0] :
( r1_tarski(k8_relset_2(sK0,sK1,X0,sK4),sF15)
| ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK0))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) ),
inference(superposition,[],[f176,f189]) ).
fof(f501,plain,
! [X0] :
( r1_tarski(k8_relset_2(sK1,sK0,X0,sF16),sF19)
| ~ r1_tarski(sK3,X0)
| ~ m1_subset_1(sF16,k1_zfmisc_1(k2_zfmisc_1(sK1,sK0)))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK1)) ),
inference(superposition,[],[f176,f197]) ).
fof(f504,plain,
! [X0] :
( ~ m1_subset_1(X0,sF22)
| r1_tarski(k8_relset_2(sK1,sK0,X0,sF16),sF19)
| ~ r1_tarski(sK3,X0)
| ~ m1_subset_1(sF16,k1_zfmisc_1(k2_zfmisc_1(sK1,sK0)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK1)) ),
inference(forward_demodulation,[],[f501,f204]) ).
fof(f508,plain,
! [X0] :
( ~ m1_subset_1(X0,sF23)
| r1_tarski(k8_relset_2(sK0,sK1,X0,sK4),sF15)
| ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) ),
inference(forward_demodulation,[],[f497,f207]) ).
fof(f516,plain,
! [X0] :
( ~ m1_subset_1(sK3,sF22)
| ~ m1_subset_1(X0,sF22)
| r1_tarski(k8_relset_2(sK1,sK0,X0,sF16),sF19)
| ~ r1_tarski(sK3,X0)
| ~ m1_subset_1(sF16,k1_zfmisc_1(k2_zfmisc_1(sK1,sK0))) ),
inference(forward_demodulation,[],[f504,f204]) ).
fof(f520,plain,
! [X0] :
( ~ m1_subset_1(sK2,sF23)
| ~ m1_subset_1(X0,sF23)
| r1_tarski(k8_relset_2(sK0,sK1,X0,sK4),sF15)
| ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(forward_demodulation,[],[f508,f207]) ).
fof(f527,plain,
! [X0] :
( r1_tarski(k8_relset_2(sK1,sK0,X0,sF16),sF19)
| ~ m1_subset_1(X0,sF22)
| ~ r1_tarski(sK3,X0)
| ~ m1_subset_1(sF16,k1_zfmisc_1(k2_zfmisc_1(sK1,sK0))) ),
inference(forward_subsumption_resolution,[],[f516,f205]) ).
fof(f528,plain,
! [X0] :
( r1_tarski(k8_relset_2(sK0,sK1,X0,sK4),sF15)
| ~ m1_subset_1(X0,sF23)
| ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f520,f208]) ).
fof(f540,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k8_relset_2(sK1,sK0,X1,sF16))
| r1_tarski(X1,k8_relset_2(sK0,sK1,X0,sK4))
| ~ m2_relset_1(sK4,sK0,sK1)
| ~ m1_subset_1(X1,k1_zfmisc_1(sK1))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK0)) ),
inference(superposition,[],[f181,f191]) ).
fof(f546,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k8_relset_2(sK1,sK0,X1,sF16))
| r1_tarski(X1,k8_relset_2(sK0,sK1,X0,sK4))
| ~ m1_subset_1(X1,k1_zfmisc_1(sK1))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK0)) ),
inference(forward_subsumption_resolution,[],[f540,f122]) ).
fof(f551,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF22)
| ~ r1_tarski(X0,k8_relset_2(sK1,sK0,X1,sF16))
| r1_tarski(X1,k8_relset_2(sK0,sK1,X0,sK4))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK0)) ),
inference(forward_demodulation,[],[f546,f204]) ).
fof(f553,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k8_relset_2(sK1,sK0,X1,sF16))
| ~ m1_subset_1(X1,sF22)
| ~ m1_subset_1(X0,sF23)
| r1_tarski(X1,k8_relset_2(sK0,sK1,X0,sK4)) ),
inference(forward_demodulation,[],[f551,f207]) ).
fof(f560,plain,
! [X0,X1] :
( r1_tarski(X0,k8_relset_2(sK1,sK0,X1,sF16))
| ~ r1_tarski(X1,k8_relset_2(sK0,sK1,X0,sK4))
| ~ m2_relset_1(sK4,sK0,sK1)
| ~ m1_subset_1(X1,k1_zfmisc_1(sK1))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK0)) ),
inference(superposition,[],[f182,f191]) ).
fof(f568,plain,
! [X0,X1] :
( r1_tarski(X0,k8_relset_2(sK1,sK0,X1,sF16))
| ~ r1_tarski(X1,k8_relset_2(sK0,sK1,X0,sK4))
| ~ m1_subset_1(X1,k1_zfmisc_1(sK1))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK0)) ),
inference(forward_subsumption_resolution,[],[f560,f122]) ).
fof(f572,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF22)
| r1_tarski(X0,k8_relset_2(sK1,sK0,X1,sF16))
| ~ r1_tarski(X1,k8_relset_2(sK0,sK1,X0,sK4))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK0)) ),
inference(forward_demodulation,[],[f568,f204]) ).
fof(f574,plain,
! [X0,X1] :
( ~ r1_tarski(X1,k8_relset_2(sK0,sK1,X0,sK4))
| ~ m1_subset_1(X1,sF22)
| r1_tarski(X0,k8_relset_2(sK1,sK0,X1,sF16))
| ~ m1_subset_1(X0,sF23) ),
inference(forward_demodulation,[],[f572,f207]) ).
fof(f575,plain,
( m1_subset_1(sF19,sF23)
| ~ m2_relset_1(sF16,sK1,sK0) ),
inference(resolution,[],[f464,f140]) ).
fof(f577,plain,
m1_subset_1(sF19,sF23),
inference(forward_subsumption_resolution,[],[f575,f378]) ).
fof(f581,plain,
( m1_subset_1(sF15,sF22)
| ~ m2_relset_1(sK4,sK0,sK1) ),
inference(resolution,[],[f465,f140]) ).
fof(f583,plain,
m1_subset_1(sF15,sF22),
inference(forward_subsumption_resolution,[],[f581,f122]) ).
fof(f590,plain,
( ~ m1_subset_1(sF16,k1_zfmisc_1(k2_zfmisc_1(sK1,sK0)))
| ~ m1_subset_1(sF20,sF22)
| ~ r1_tarski(sK3,sF20)
| r1_tarski(sF21,sF19) ),
inference(superposition,[],[f527,f201]) ).
fof(f595,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(sF17,sF23)
| ~ r1_tarski(sK2,sF17)
| r1_tarski(sF18,sF15) ),
inference(superposition,[],[f528,f195]) ).
fof(f621,plain,
! [X0] :
( ~ r1_tarski(X0,sF17)
| ~ m1_subset_1(sF15,sF22)
| ~ m1_subset_1(X0,sF23)
| r1_tarski(sF15,k8_relset_2(sK0,sK1,X0,sK4)) ),
inference(superposition,[],[f553,f193]) ).
fof(f622,plain,
! [X0] :
( ~ r1_tarski(X0,sF19)
| ~ m1_subset_1(sK3,sF22)
| ~ m1_subset_1(X0,sF23)
| r1_tarski(sK3,k8_relset_2(sK0,sK1,X0,sK4)) ),
inference(superposition,[],[f553,f197]) ).
fof(f625,plain,
! [X0] :
( r1_tarski(sK3,k8_relset_2(sK0,sK1,X0,sK4))
| ~ m1_subset_1(X0,sF23)
| ~ r1_tarski(X0,sF19) ),
inference(forward_subsumption_resolution,[],[f622,f205]) ).
fof(f626,plain,
! [X0] :
( r1_tarski(sF15,k8_relset_2(sK0,sK1,X0,sK4))
| ~ m1_subset_1(X0,sF23)
| ~ r1_tarski(X0,sF17) ),
inference(forward_subsumption_resolution,[],[f621,f583]) ).
fof(f640,plain,
! [X0] :
( ~ r1_tarski(X0,sF15)
| ~ m1_subset_1(X0,sF22)
| r1_tarski(sK2,k8_relset_2(sK1,sK0,X0,sF16))
| ~ m1_subset_1(sK2,sF23) ),
inference(superposition,[],[f574,f189]) ).
fof(f642,plain,
! [X0] :
( ~ r1_tarski(X0,sF20)
| ~ m1_subset_1(X0,sF22)
| r1_tarski(sF19,k8_relset_2(sK1,sK0,X0,sF16))
| ~ m1_subset_1(sF19,sF23) ),
inference(superposition,[],[f574,f199]) ).
fof(f644,plain,
! [X0] :
( r1_tarski(sF19,k8_relset_2(sK1,sK0,X0,sF16))
| ~ m1_subset_1(X0,sF22)
| ~ r1_tarski(X0,sF20) ),
inference(forward_subsumption_resolution,[],[f642,f577]) ).
fof(f645,plain,
! [X0] :
( r1_tarski(sK2,k8_relset_2(sK1,sK0,X0,sF16))
| ~ m1_subset_1(X0,sF22)
| ~ r1_tarski(X0,sF15) ),
inference(forward_subsumption_resolution,[],[f640,f208]) ).
fof(f1093,plain,
( m1_subset_1(sF17,sF23)
| ~ m1_subset_1(sF15,sF22)
| ~ m2_relset_1(sF16,sK1,sK0) ),
inference(resolution,[],[f460,f140]) ).
fof(f1096,plain,
( m1_subset_1(sF17,sF23)
| ~ m2_relset_1(sF16,sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f1093,f583]) ).
fof(f1097,plain,
m1_subset_1(sF17,sF23),
inference(forward_subsumption_resolution,[],[f1096,f378]) ).
fof(f1101,plain,
( m1_subset_1(sF20,sF22)
| ~ m1_subset_1(sF19,sF23)
| ~ m2_relset_1(sK4,sK0,sK1) ),
inference(resolution,[],[f461,f140]) ).
fof(f1104,plain,
( m1_subset_1(sF20,sF22)
| ~ m2_relset_1(sK4,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1101,f577]) ).
fof(f1105,plain,
m1_subset_1(sF20,sF22),
inference(forward_subsumption_resolution,[],[f1104,f122]) ).
fof(f2077,plain,
( r1_tarski(sK3,sF20)
| ~ m1_subset_1(sF19,sF23)
| ~ r1_tarski(sF19,sF19) ),
inference(superposition,[],[f625,f199]) ).
fof(f2079,plain,
( r1_tarski(sK3,sF20)
| ~ r1_tarski(sF19,sF19) ),
inference(forward_subsumption_resolution,[],[f2077,f577]) ).
fof(f2083,plain,
r1_tarski(sK3,sF20),
inference(forward_subsumption_resolution,[],[f2079,f173]) ).
fof(f2093,plain,
( r1_tarski(sF15,sF18)
| ~ m1_subset_1(sF17,sF23)
| ~ r1_tarski(sF17,sF17) ),
inference(superposition,[],[f626,f195]) ).
fof(f2097,plain,
( r1_tarski(sF15,sF18)
| ~ r1_tarski(sF17,sF17) ),
inference(forward_subsumption_resolution,[],[f2093,f1097]) ).
fof(f2099,plain,
r1_tarski(sF15,sF18),
inference(forward_subsumption_resolution,[],[f2097,f173]) ).
fof(f2110,plain,
( r1_tarski(sF19,sF21)
| ~ m1_subset_1(sF20,sF22)
| ~ r1_tarski(sF20,sF20) ),
inference(superposition,[],[f644,f201]) ).
fof(f2112,plain,
( r1_tarski(sF19,sF21)
| ~ r1_tarski(sF20,sF20) ),
inference(forward_subsumption_resolution,[],[f2110,f1105]) ).
fof(f2115,plain,
r1_tarski(sF19,sF21),
inference(forward_subsumption_resolution,[],[f2112,f173]) ).
fof(f2124,plain,
( r1_tarski(sK2,sF17)
| ~ m1_subset_1(sF15,sF22)
| ~ r1_tarski(sF15,sF15) ),
inference(superposition,[],[f645,f193]) ).
fof(f2130,plain,
( r1_tarski(sK2,sF17)
| ~ r1_tarski(sF15,sF15) ),
inference(forward_subsumption_resolution,[],[f2124,f583]) ).
fof(f2132,plain,
r1_tarski(sK2,sF17),
inference(forward_subsumption_resolution,[],[f2130,f173]) ).
fof(f2166,plain,
( ~ m1_subset_1(sF20,sF22)
| ~ r1_tarski(sK3,sF20)
| r1_tarski(sF21,sF19)
| ~ m2_relset_1(sF16,sK1,sK0) ),
inference(resolution,[],[f590,f140]) ).
fof(f2169,plain,
( ~ r1_tarski(sK3,sF20)
| r1_tarski(sF21,sF19)
| ~ m2_relset_1(sF16,sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f2166,f1105]) ).
fof(f2171,plain,
( r1_tarski(sF21,sF19)
| ~ m2_relset_1(sF16,sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f2169,f2083]) ).
fof(f2172,plain,
r1_tarski(sF21,sF19),
inference(forward_subsumption_resolution,[],[f2171,f378]) ).
fof(f2175,plain,
( ~ r1_tarski(sF19,sF21)
| sF19 = sF21 ),
inference(resolution,[],[f2172,f129]) ).
fof(f2176,plain,
sF19 = sF21,
inference(forward_subsumption_resolution,[],[f2175,f2115]) ).
fof(f2177,plain,
( ~ m1_subset_1(sF17,sF23)
| ~ r1_tarski(sK2,sF17)
| r1_tarski(sF18,sF15)
| ~ m2_relset_1(sK4,sK0,sK1) ),
inference(resolution,[],[f595,f140]) ).
fof(f2180,plain,
( ~ r1_tarski(sK2,sF17)
| r1_tarski(sF18,sF15)
| ~ m2_relset_1(sK4,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f2177,f1097]) ).
fof(f2182,plain,
( r1_tarski(sF18,sF15)
| ~ m2_relset_1(sK4,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f2180,f2132]) ).
fof(f2183,plain,
r1_tarski(sF18,sF15),
inference(forward_subsumption_resolution,[],[f2182,f122]) ).
fof(f2186,plain,
( ~ r1_tarski(sF15,sF18)
| sF15 = sF18 ),
inference(resolution,[],[f2183,f129]) ).
fof(f2187,plain,
sF15 = sF18,
inference(forward_subsumption_resolution,[],[f2186,f2099]) ).
fof(f2190,plain,
( sF19 != sF19
| sF15 != sF18 ),
inference(superposition,[],[f202,f2176]) ).
fof(f2205,plain,
sF15 != sF18,
inference(trivial_inequality_removal,[],[f2190]) ).
fof(f2207,plain,
$false,
inference(forward_subsumption_resolution,[],[f2205,f2187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU450+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.43 % Computer : n005.cluster.edu
% 0.14/0.43 % Model : x86_64 x86_64
% 0.14/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.43 % Memory : 8046.5625MB
% 0.14/0.43 % OS : Linux 6.8.0-71-generic
% 0.14/0.43 % CPULimit : 300
% 0.14/0.43 % WCLimit : 300
% 0.14/0.43 % DateTime : Mon Sep 28 05:36:32 UTC 2026
% 0.14/0.43 % CPUTime :
% 0.14/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.48 Running first-order model finding
% 0.22/0.48 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.32/4.09 % (491776)Will run a generic schedule for satisfiability detection.
% 25.32/4.09 % (491784)dis+10_1_sil=32000:sp=arity:random_seed=97013580:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 25.32/4.09 % (491783)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=316124570:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 25.32/4.09 % (491782)% WARNING: option uhcvi not known.
% 25.32/4.09 % (491785)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1659235905:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 25.32/4.09 % (491786)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1973427393:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 25.32/4.09 % (491787)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=414623443:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 25.32/4.09 % (491781)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3198516666_2999 on theBenchmark for (2999ds/0Mi)
% 25.32/4.09 % (491782)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1271703813:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 25.32/4.09 % TRYING [1]
% 25.32/4.09 % TRYING [2]
% 25.32/4.09 % TRYING [3]
% 25.32/4.09 % (491784)Instruction limit reached!
% 25.32/4.09 % (491784)------------------------------
% 25.32/4.09 % (491784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.32/4.09 % (491784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.32/4.09 % (491784)CaDiCaL version: 2.1.3
% 25.32/4.09 % (491784)Termination reason: Instruction limit
% 25.32/4.09 % (491784)Termination phase: Saturation
% 25.32/4.09 % (491784)Time elapsed: 0.055 s
% 25.32/4.09 % (491784)Peak memory usage: 13 MB
% 25.32/4.09 % (491784)Instructions burned: 104 (million)
% 25.32/4.09 % TRYING [4]
% 25.32/4.09 % (491795)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3337786952:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 25.32/4.09 % TRYING [1]
% 25.32/4.09 % TRYING [2]
% 25.32/4.09 % TRYING [3]
% 25.32/4.09 % TRYING [4]
% 25.32/4.09 % (491785)Instruction limit reached!
% 25.32/4.09 % (491785)------------------------------
% 25.32/4.09 % (491785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.32/4.09 % (491785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.32/4.09 % (491785)CaDiCaL version: 2.1.3
% 25.32/4.09 % (491785)Termination reason: Instruction limit
% 25.32/4.09 % (491785)Termination phase: Saturation
% 25.32/4.09 % (491785)Time elapsed: 0.114 s
% 25.32/4.09 % (491785)Peak memory usage: 13 MB
% 25.32/4.09 % (491785)Instructions burned: 116 (million)
% 25.32/4.09 % (491786)Instruction limit reached!
% 25.32/4.09 % (491786)------------------------------
% 25.32/4.09 % (491786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.32/4.09 % (491786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.32/4.09 % (491786)CaDiCaL version: 2.1.3
% 25.32/4.09 % (491786)Termination reason: Instruction limit
% 25.32/4.09 % (491786)Termination phase: Saturation
% 25.32/4.09 % (491786)Time elapsed: 0.144 s
% 25.32/4.09 % (491786)Peak memory usage: 14 MB
% 25.32/4.09 % (491786)Instructions burned: 131 (million)
% 25.32/4.09 % (491797)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1458706705:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 25.32/4.09 % (491787)Instruction limit reached!
% 25.32/4.09 % (491787)------------------------------
% 25.32/4.09 % (491787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.32/4.09 % (491787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.32/4.09 % (491787)CaDiCaL version: 2.1.3
% 25.32/4.09 % (491787)Termination reason: Instruction limit
% 25.32/4.09 % (491787)Termination phase: Saturation
% 25.32/4.09 % (491787)Time elapsed: 0.155 s
% 25.32/4.09 % (491787)Peak memory usage: 13 MB
% 25.32/4.09 % (491787)Instructions burned: 159 (million)
% 25.32/4.09 % (491798)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=3249840175:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 25.32/4.09 % TRYING [5]
% 25.32/4.09 % (491800)ott-21_1_sil=16000:fs=off:random_seed=2507756149:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 25.32/4.09 % TRYING [5]
% 25.32/4.09 % (491797)Instruction limit reached!
% 25.32/4.09 % (491797)------------------------------
% 25.32/4.09 % (491797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.32/4.09 % (491797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.61/6.85 % (491797)CaDiCaL version: 2.1.3
% 22.61/6.85 % (491797)Termination reason: Instruction limit
% 22.61/6.85 % (491797)Termination phase: Saturation
% 22.61/6.85 % (491797)Time elapsed: 0.133 s
% 22.61/6.85 % (491797)Peak memory usage: 13 MB
% 22.61/6.85 % (491797)Instructions burned: 131 (million)
% 22.61/6.85 % (491795)Instruction limit reached!
% 22.61/6.85 % (491795)------------------------------
% 22.61/6.85 % (491795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.61/6.85 % (491795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.61/6.85 % (491795)CaDiCaL version: 2.1.3
% 22.61/6.85 % (491795)Termination reason: Instruction limit
% 22.61/6.85 % (491795)Termination phase: Finite model building constraint generation
% 22.61/6.85 % (491795)Time elapsed: 0.228 s
% 22.61/6.85 % (491795)Peak memory usage: 35 MB
% 22.61/6.85 % (491795)Instructions burned: 716 (million)
% 22.61/6.85 % (491803)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1542305833:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 22.61/6.85 % (491804)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1940031155:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 22.61/6.85 % TRYING [1]
% 22.61/6.85 % TRYING [2]
% 22.61/6.85 % TRYING [3]
% 22.61/6.85 % (491800)Instruction limit reached!
% 22.61/6.85 % (491800)------------------------------
% 22.61/6.85 % (491800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.61/6.85 % (491800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.61/6.85 % (491800)CaDiCaL version: 2.1.3
% 22.61/6.85 % (491800)Termination reason: Instruction limit
% 22.61/6.85 % (491800)Termination phase: Saturation
% 22.61/6.85 % (491800)Time elapsed: 0.165 s
% 22.61/6.85 % (491800)Peak memory usage: 13 MB
% 22.61/6.85 % (491800)Instructions burned: 180 (million)
% 22.61/6.85 % (491807)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=245129454:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 22.61/6.85 % TRYING [4]
% 22.61/6.85 % (491803)Instruction limit reached!
% 22.61/6.85 % (491803)------------------------------
% 22.61/6.85 % (491803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.61/6.85 % (491803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.61/6.85 % (491803)CaDiCaL version: 2.1.3
% 22.61/6.85 % (491803)Termination reason: Instruction limit
% 22.61/6.85 % (491803)Termination phase: Saturation
% 22.61/6.85 % (491803)Time elapsed: 0.280 s
% 22.61/6.85 % (491803)Peak memory usage: 14 MB
% 22.61/6.85 % (491803)Instructions burned: 478 (million)
% 22.61/6.85 % (491809)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2956551869:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 22.61/6.85 % (491798)Instruction limit reached!
% 22.61/6.85 % (491798)------------------------------
% 22.61/6.85 % (491798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.61/6.85 % (491798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.61/6.85 % (491798)CaDiCaL version: 2.1.3
% 22.61/6.85 % (491798)Termination reason: Instruction limit
% 22.61/6.85 % (491798)Termination phase: Saturation
% 22.61/6.85 % (491798)Time elapsed: 0.609 s
% 22.61/6.85 % (491798)Peak memory usage: 17 MB
% 22.61/6.85 % (491798)Instructions burned: 687 (million)
% 22.61/6.85 % (491811)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=2263773645:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 22.61/6.85 % (491804)Instruction limit reached!
% 22.61/6.85 % (491804)------------------------------
% 22.61/6.85 % (491804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.61/6.85 % (491804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.61/6.85 % (491804)CaDiCaL version: 2.1.3
% 22.61/6.85 % (491804)Termination reason: Instruction limit
% 22.61/6.85 % (491804)Termination phase: Finite model building SAT solving
% 22.61/6.85 % (491804)Time elapsed: 0.577 s
% 22.61/6.85 % (491804)Peak memory usage: 25 MB
% 22.61/6.85 % (491804)Instructions burned: 865 (million)
% 22.61/6.85 % TRYING [6]
% 22.61/6.85 % (491813)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3370885865:i=879:kws=inv_precedence:fsr=off_2990 on theBenchmark for (2990ds/879Mi)
% 22.61/6.85 % (491809)Instruction limit reached!
% 22.61/6.85 % (491809)------------------------------
% 22.61/6.85 % (491809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.61/6.85 % (491809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.61/6.85 % (491809)CaDiCaL version: 2.1.3
% 22.61/6.85 % (491809)Termination reason: Instruction limit
% 22.61/6.85 % (491809)Termination phase: Finite model building constraint generation
% 22.61/6.85 % (491809)Time elapsed: 0.462 s
% 22.61/6.85 % (491809)Peak memory usage: 107 MB
% 22.61/6.85 % (491809)Instructions burned: 894 (million)
% 22.61/6.85 % (491815)fmb+10_1_sil=64000:random_seed=203853690:i=22061:nm=2:gsp=on_2988 on theBenchmark for (2988ds/22061Mi)
% 22.61/6.85 % TRYING [1]
% 22.61/6.85 % TRYING [2]
% 22.61/6.85 % TRYING [3]
% 22.61/6.85 % TRYING [4]
% 22.61/6.85 % (491811)Instruction limit reached!
% 22.61/6.85 % (491811)------------------------------
% 22.61/6.85 % (491811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.61/6.85 % (491811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.61/6.85 % (491811)CaDiCaL version: 2.1.3
% 22.61/6.85 % (491811)Termination reason: Instruction limit
% 22.61/6.85 % (491811)Termination phase: Saturation
% 22.61/6.85 % (491811)Time elapsed: 0.622 s
% 22.61/6.85 % (491811)Peak memory usage: 20 MB
% 22.61/6.85 % (491811)Instructions burned: 692 (million)
% 22.61/6.85 % (491817)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1540083125:i=9515:nm=5_2985 on theBenchmark for (2985ds/9515Mi)
% 22.61/6.85 % TRYING [20]
% 22.61/6.85 % (491807)Instruction limit reached!
% 22.61/6.85 % (491807)------------------------------
% 22.61/6.85 % (491807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.61/6.85 % (491807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.61/6.85 % (491807)CaDiCaL version: 2.1.3
% 22.61/6.85 % (491807)Termination reason: Instruction limit
% 22.61/6.85 % (491807)Termination phase: Saturation
% 22.61/6.85 % (491807)Time elapsed: 1.178 s
% 22.61/6.85 % (491807)Peak memory usage: 26 MB
% 22.61/6.85 % (491807)Instructions burned: 1180 (million)
% 22.61/6.85 % TRYING [5]
% 22.61/6.85 % (491819)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1846768784:fmbsr=1.7:i=920_2983 on theBenchmark for (2983ds/920Mi)
% 22.61/6.85 % TRYING [8]
% 22.61/6.85 % (491813)Instruction limit reached!
% 22.61/6.85 % (491813)------------------------------
% 22.61/6.85 % (491813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.61/6.85 % (491813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.61/6.85 % (491813)CaDiCaL version: 2.1.3
% 22.61/6.85 % (491813)Termination reason: Instruction limit
% 22.61/6.85 % (491813)Termination phase: Saturation
% 22.61/6.85 % (491813)Time elapsed: 0.877 s
% 22.61/6.85 % (491813)Peak memory usage: 19 MB
% 22.61/6.85 % (491813)Instructions burned: 880 (million)
% 22.61/6.85 % (491823)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=859719902:i=5131_2981 on theBenchmark for (2981ds/5131Mi)
% 22.61/6.85 % (491819)Instruction limit reached!
% 22.61/6.85 % (491819)------------------------------
% 22.61/6.85 % (491819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.61/6.85 % (491819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.61/6.85 % (491819)CaDiCaL version: 2.1.3
% 22.61/6.85 % (491819)Termination reason: Instruction limit
% 22.61/6.85 % (491819)Termination phase: Finite model building constraint generation
% 22.61/6.85 % (491819)Time elapsed: 0.624 s
% 22.61/6.85 % (491819)Peak memory usage: 61 MB
% 22.61/6.85 % (491819)Instructions burned: 921 (million)
% 22.61/6.85 % (491825)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1403383466:i=1472:ins=7:fdi=8:gsp=on_2977 on theBenchmark for (2977ds/1472Mi)
% 22.61/6.85 % TRYING [6]
% 22.61/6.85 % TRYING [7]
% 22.61/6.85 % (491825)Instruction limit reached!
% 22.61/6.85 % (491825)------------------------------
% 22.61/6.85 % (491825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.61/6.85 % (491825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.61/6.85 % (491825)CaDiCaL version: 2.1.3
% 22.61/6.85 % (491825)Termination reason: Instruction limit
% 22.61/6.85 % (491825)Termination phase: Saturation
% 22.61/6.85 % (491825)Time elapsed: 1.232 s
% 22.61/6.85 % (491825)Peak memory usage: 21 MB
% 22.61/6.85 % (491825)Instructions burned: 1472 (million)
% 22.61/6.85 % (491827)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2420928153:i=6324_2964 on theBenchmark for (2964ds/6324Mi)
% 22.61/6.85 % (491827)Cannot represent all propositional literals internally
% 22.61/6.85 % (491827)Refutation not found, incomplete strategy
% 22.61/6.85 % (491827)------------------------------
% 22.61/6.85 % (491827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.61/6.85 % (491827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.61/6.85 % (491827)CaDiCaL version: 2.1.3
% 22.61/6.85 % (491827)Termination reason: Refutation not found, incomplete strategy
% 22.61/6.85 % (491827)Time elapsed: 0.006 s
% 22.61/6.85 % (491827)Peak memory usage: 11 MB
% 22.61/6.85 % (491827)Instructions burned: 9 (million)
% 22.61/6.85 % (491827)------------------------------
% 22.61/6.85 % (491827)------------------------------
% 22.61/6.85 % (491829)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1666561620:fmbsr=2.30978:i=2174_2964 on theBenchmark for (2964ds/2174Mi)
% 22.61/6.85 % TRYING [16]
% 22.61/6.85 % (491829)Instruction limit reached!
% 22.61/6.85 % (491829)------------------------------
% 22.61/6.85 % (491829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.61/6.85 % (491829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.61/6.85 % (491829)CaDiCaL version: 2.1.3
% 22.61/6.85 % (491829)Termination reason: Instruction limit
% 22.61/6.85 % (491829)Termination phase: Finite model building constraint generation
% 22.61/6.85 % (491829)Time elapsed: 1.571 s
% 22.61/6.85 % (491829)Peak memory usage: 132 MB
% 22.61/6.85 % (491829)Instructions burned: 2174 (million)
% 22.61/6.85 % (491831)ott-2_1_sil=16000:newcnf=on:random_seed=1271323865:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2947 on theBenchmark for (2947ds/869Mi)
% 22.61/6.85 % TRYING [7]
% 22.61/6.85 % (491831)Instruction limit reached!
% 22.61/6.85 % (491831)------------------------------
% 22.61/6.85 % (491831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.61/6.85 % (491831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.61/6.85 % (491831)CaDiCaL version: 2.1.3
% 22.61/6.85 % (491831)Termination reason: Instruction limit
% 22.61/6.85 % (491831)Termination phase: Saturation
% 22.61/6.85 % (491831)Time elapsed: 0.873 s
% 22.61/6.85 % (491831)Peak memory usage: 18 MB
% 22.61/6.85 % (491831)Instructions burned: 869 (million)
% 22.61/6.85 % (491833)ott+10_1_sil=32000:tgt=ground:random_seed=2742896248:i=5114:av=off_2938 on theBenchmark for (2938ds/5114Mi)
% 22.61/6.85 % (491833) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-491776-491833"...
% 22.61/6.85 % (491833)...printing done.
% 22.61/6.85 % (491833)Refutation found. Thanks to Tanya!
% 22.61/6.85 % SZS status Theorem for theBenchmark
% 22.61/6.85 % SZS output start Proof for theBenchmark
% See solution above
% 22.61/6.85 % (491833)------------------------------
% 22.61/6.85 % (491833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.61/6.85 % (491833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.61/6.85 % (491833)CaDiCaL version: 2.1.3
% 22.61/6.85 % (491833)Termination reason: Refutation
% 22.61/6.85 % (491833)Time elapsed: 0.088 s
% 22.61/6.85 % (491833)Peak memory usage: 13 MB
% 22.61/6.85 % (491833)Instructions burned: 106 (million)
% 22.61/6.85 % (491776)Success in time 6.358 s
% 22.61/6.85 % Vampire exiting
%------------------------------------------------------------------------------