%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU423+1 : 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 : n020.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 12:48:55 PM UTC 2026
% Result : Theorem 109.95s 32.92s
% Output : Refutation 228.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 22
% Syntax : Number of formulae : 165 ( 27 unt; 7 def)
% Number of atoms : 579 ( 83 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 759 ( 345 ~; 365 |; 17 &)
% ( 16 <=>; 15 =>; 0 <=; 1 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 4 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 8 con; 0-5 aty)
% Number of variables : 418 ( 0 sgn 407 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> k10_relset_1(X0,X1,X3,X2) = k3_tarski(a_4_0_relset_2(X0,X1,X2,X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> k10_relset_1(X0,X1,X3,X2) = k3_tarski(a_4_0_relset_2(X0,X1,X2,X3)) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f6,axiom,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f8,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1,X2] :
( X2 = k9_relat_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( r2_hidden(k4_tarski(X4,X3),X0)
& r2_hidden(X4,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_relat_1) ).
fof(f9,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> ! [X3] :
( m1_subset_1(X3,X0)
=> k2_relset_2(X0,X1,X2,X3) = k10_relset_1(X0,X1,X2,k1_tarski(X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_relset_2) ).
fof(f10,axiom,
! [X0,X1] :
( X1 = k1_tarski(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(f12,axiom,
! [X0,X1] :
( X1 = k3_tarski(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ? [X3] :
( r2_hidden(X2,X3)
& r2_hidden(X3,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tarski) ).
fof(f13,axiom,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f26,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f38,axiom,
! [X0,X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X3,k1_zfmisc_1(X1))
& m2_relset_1(X4,X1,X2) )
=> ( r2_hidden(X0,a_4_0_relset_2(X1,X2,X3,X4))
<=> ? [X5] :
( m1_subset_1(X5,X1)
& X0 = k2_relset_2(X1,X2,X4,X5)
& r2_hidden(X5,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_4_0_relset_2) ).
fof(f44,axiom,
! [X0,X1,X2,X3] :
( m1_relset_1(X2,X0,X1)
=> k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k10_relset_1) ).
fof(f45,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f50,axiom,
! [X0,X1] :
( ! [X2] :
( r2_hidden(X2,X0)
<=> r2_hidden(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).
fof(f52,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f53,axiom,
! [X0,X1,X2] :
~ ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f60,plain,
? [X0] :
( ? [X1,X2] :
( ? [X3] :
( k10_relset_1(X0,X1,X3,X2) != k3_tarski(a_4_0_relset_2(X0,X1,X2,X3))
& m2_relset_1(X3,X0,X1) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
& ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f63,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f5]) ).
fof(f64,plain,
! [X0] :
( ! [X1,X2] :
( X2 = k9_relat_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( r2_hidden(k4_tarski(X4,X3),X0)
& r2_hidden(X4,X1) ) ) )
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ! [X3] :
( k2_relset_2(X0,X1,X2,X3) = k10_relset_1(X0,X1,X2,k1_tarski(X3))
| ~ m1_subset_1(X3,X0) )
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f70,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,[],[f26]) ).
fof(f75,plain,
! [X0,X1,X2,X3,X4] :
( ( r2_hidden(X0,a_4_0_relset_2(X1,X2,X3,X4))
<=> ? [X5] :
( m1_subset_1(X5,X1)
& X0 = k2_relset_2(X1,X2,X4,X5)
& r2_hidden(X5,X3) ) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m2_relset_1(X4,X1,X2) ),
inference(ennf_transformation,[],[f38]) ).
fof(f76,plain,
! [X0,X1,X2,X3,X4] :
( ( r2_hidden(X0,a_4_0_relset_2(X1,X2,X3,X4))
<=> ? [X5] :
( m1_subset_1(X5,X1)
& X0 = k2_relset_2(X1,X2,X4,X5)
& r2_hidden(X5,X3) ) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m2_relset_1(X4,X1,X2) ),
inference(flattening,[],[f75]) ).
fof(f78,plain,
! [X0,X1,X2,X3] :
( k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f83,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( r2_hidden(X2,X0)
<~> r2_hidden(X2,X1) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f84,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f52]) ).
fof(f85,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f84]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2) ),
inference(ennf_transformation,[],[f53]) ).
fof(f90,plain,
m2_relset_1(sK3,sK0,sK1),
inference(cnf_transformation,[],[f60]) ).
fof(f91,plain,
k10_relset_1(sK0,sK1,sK3,sK2) != k3_tarski(a_4_0_relset_2(sK0,sK1,sK2,sK3)),
inference(cnf_transformation,[],[f60]) ).
fof(f92,plain,
m1_subset_1(sK2,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f60]) ).
fof(f93,plain,
~ v1_xboole_0(sK0),
inference(cnf_transformation,[],[f60]) ).
fof(f96,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f97,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f104,plain,
! [X2,X3,X0,X1] :
( k9_relat_1(X0,X1) != X2
| r2_hidden(sK5(X0,X1,X3),X1)
| ~ r2_hidden(X3,X2)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f105,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X0)
| r2_hidden(k4_tarski(sK5(X0,X1,X3),X3),X0)
| ~ r2_hidden(X3,X2)
| k9_relat_1(X0,X1) != X2 ),
inference(cnf_transformation,[],[f64]) ).
fof(f106,plain,
! [X2,X3,X0,X1,X4] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(k4_tarski(X4,X3),X0)
| r2_hidden(X3,X2)
| k9_relat_1(X0,X1) != X2 ),
inference(cnf_transformation,[],[f64]) ).
fof(f107,plain,
! [X2,X3,X0,X1] :
( k2_relset_2(X0,X1,X2,X3) = k10_relset_1(X0,X1,X2,k1_tarski(X3))
| ~ m1_subset_1(X3,X0)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f108,plain,
! [X2,X0,X1] :
( k1_tarski(X0) != X1
| r2_hidden(X2,X1)
| X0 != X2 ),
inference(cnf_transformation,[],[f10]) ).
fof(f109,plain,
! [X2,X0,X1] :
( k1_tarski(X0) != X1
| ~ r2_hidden(X2,X1)
| X0 = X2 ),
inference(cnf_transformation,[],[f10]) ).
fof(f118,plain,
! [X2,X0,X1] :
( k3_tarski(X0) != X1
| ~ r2_hidden(X2,X1)
| r2_hidden(sK10(X0,X2),X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f119,plain,
! [X2,X0,X1] :
( k3_tarski(X0) != X1
| ~ r2_hidden(X2,X1)
| r2_hidden(X2,sK10(X0,X2)) ),
inference(cnf_transformation,[],[f12]) ).
fof(f120,plain,
! [X2,X3,X0,X1] :
( k3_tarski(X0) != X1
| ~ r2_hidden(X2,X3)
| r2_hidden(X2,X1)
| ~ r2_hidden(X3,X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f121,plain,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f124,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,[],[f70]) ).
fof(f141,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(sK16(X0,X1,X2,X3,X4),X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| v1_xboole_0(X1)
| ~ m2_relset_1(X4,X1,X2)
| ~ r2_hidden(X0,a_4_0_relset_2(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f142,plain,
! [X2,X3,X0,X1,X4] :
( k2_relset_2(X1,X2,X4,sK16(X0,X1,X2,X3,X4)) = X0
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| v1_xboole_0(X1)
| ~ m2_relset_1(X4,X1,X2)
| ~ r2_hidden(X0,a_4_0_relset_2(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f143,plain,
! [X2,X3,X0,X1,X4] :
( m1_subset_1(sK16(X0,X1,X2,X3,X4),X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| v1_xboole_0(X1)
| ~ m2_relset_1(X4,X1,X2)
| ~ r2_hidden(X0,a_4_0_relset_2(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f144,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m2_relset_1(X4,X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| v1_xboole_0(X1)
| ~ r2_hidden(X5,X3)
| k2_relset_2(X1,X2,X4,X5) != X0
| ~ m1_subset_1(X5,X1)
| r2_hidden(X0,a_4_0_relset_2(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f154,plain,
! [X2,X3,X0,X1] :
( k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f156,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f161,plain,
! [X0,X1] :
( r2_hidden(sK22(X0,X1),X1)
| r2_hidden(sK22(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f83]) ).
fof(f162,plain,
! [X0,X1] :
( ~ r2_hidden(sK22(X0,X1),X1)
| ~ r2_hidden(sK22(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f83]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f85]) ).
fof(f166,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f170,plain,
! [X2,X3,X0,X1,X4] :
( k9_relat_1(X0,X1) != X2
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(k2_tarski(k2_tarski(X4,X3),k1_tarski(X4)),X0)
| r2_hidden(X3,X2)
| ~ v1_relat_1(X0) ),
inference(definition_unfolding,[],[f106,f121]) ).
fof(f171,plain,
! [X2,X3,X0,X1] :
( k9_relat_1(X0,X1) != X2
| r2_hidden(k2_tarski(k2_tarski(sK5(X0,X1,X3),X3),k1_tarski(sK5(X0,X1,X3))),X0)
| ~ r2_hidden(X3,X2)
| ~ v1_relat_1(X0) ),
inference(definition_unfolding,[],[f105,f121]) ).
fof(f174,definition,
sF23 = k1_zfmisc_1(sK0),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f175,plain,
k1_zfmisc_1(sK0) = sF23,
inference(reorient_equations,[],[f174]) ).
fof(f176,plain,
m1_subset_1(sK2,sF23),
inference(definition_folding,[],[f92,f175]) ).
fof(f177,definition,
sF24 = k10_relset_1(sK0,sK1,sK3,sK2),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f178,plain,
k10_relset_1(sK0,sK1,sK3,sK2) = sF24,
inference(reorient_equations,[],[f177]) ).
fof(f179,definition,
sF25 = a_4_0_relset_2(sK0,sK1,sK2,sK3),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f180,plain,
a_4_0_relset_2(sK0,sK1,sK2,sK3) = sF25,
inference(reorient_equations,[],[f179]) ).
fof(f181,definition,
sF26 = k3_tarski(sF25),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f182,plain,
k3_tarski(sF25) = sF26,
inference(reorient_equations,[],[f181]) ).
fof(f183,plain,
sF24 != sF26,
inference(definition_folding,[],[f91,f182,f180,f178]) ).
fof(f184,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m2_relset_1(X4,X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| v1_xboole_0(X1)
| ~ r2_hidden(X5,X3)
| k2_relset_2(X1,X2,X4,X5) != X0
| r2_hidden(X0,a_4_0_relset_2(X1,X2,X3,X4)) ),
inference(forward_subsumption_resolution,[],[f144,f165]) ).
fof(f186,plain,
! [X2,X3,X0,X1,X4,X5] :
( k2_relset_2(X1,X2,X4,X5) != X0
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ r2_hidden(X5,X3)
| ~ m2_relset_1(X4,X1,X2)
| r2_hidden(X0,a_4_0_relset_2(X1,X2,X3,X4)) ),
inference(forward_subsumption_resolution,[],[f184,f166]) ).
fof(f192,plain,
! [X2,X3,X0,X1] :
( k2_relset_2(X0,X1,X2,X3) = k9_relat_1(X2,k1_tarski(X3))
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0)
| ~ m2_relset_1(X2,X0,X1) ),
inference(superposition,[],[f154,f107]) ).
fof(f193,plain,
( sF24 = k9_relat_1(sK3,sK2)
| ~ m1_relset_1(sK3,sK0,sK1) ),
inference(superposition,[],[f178,f154]) ).
fof(f198,plain,
! [X2,X3,X0,X1] :
( k2_relset_2(X0,X1,X2,X3) = k9_relat_1(X2,k1_tarski(X3))
| ~ m1_subset_1(X3,X0)
| ~ m2_relset_1(X2,X0,X1) ),
inference(forward_subsumption_resolution,[],[f192,f156]) ).
fof(f203,plain,
! [X2,X3,X0,X1,X4] :
( k9_relat_1(X0,k1_tarski(sK16(X1,X2,X3,X4,X0))) = X1
| ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| v1_xboole_0(X2)
| ~ m2_relset_1(X0,X2,X3)
| ~ r2_hidden(X1,a_4_0_relset_2(X2,X3,X4,X0))
| ~ m1_subset_1(sK16(X1,X2,X3,X4,X0),X2)
| ~ m2_relset_1(X0,X2,X3) ),
inference(superposition,[],[f142,f198]) ).
fof(f204,plain,
! [X2,X3,X0,X1,X4] :
( k9_relat_1(X0,k1_tarski(sK16(X1,X2,X3,X4,X0))) = X1
| ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| v1_xboole_0(X2)
| ~ m2_relset_1(X0,X2,X3)
| ~ r2_hidden(X1,a_4_0_relset_2(X2,X3,X4,X0))
| ~ m1_subset_1(sK16(X1,X2,X3,X4,X0),X2) ),
inference(duplicate_literal_removal,[],[f203]) ).
fof(f206,plain,
! [X2,X3,X0,X1,X4] :
( k9_relat_1(X0,k1_tarski(sK16(X1,X2,X3,X4,X0))) = X1
| ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| v1_xboole_0(X2)
| ~ m2_relset_1(X0,X2,X3)
| ~ r2_hidden(X1,a_4_0_relset_2(X2,X3,X4,X0)) ),
inference(forward_subsumption_resolution,[],[f204,f143]) ).
fof(f211,plain,
m1_relset_1(sK3,sK0,sK1),
inference(resolution,[],[f156,f90]) ).
fof(f213,plain,
! [X2,X0,X1] :
( r2_hidden(X0,k3_tarski(X2))
| ~ r2_hidden(X0,X1)
| ~ r2_hidden(X1,X2) ),
inference(equality_resolution,[],[f120]) ).
fof(f214,plain,
! [X0,X1] :
( ~ r2_hidden(X1,sF25)
| ~ r2_hidden(X0,X1)
| r2_hidden(X0,sF26) ),
inference(superposition,[],[f213,f182]) ).
fof(f220,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f124,f96]) ).
fof(f223,plain,
v1_relat_1(sK3),
inference(resolution,[],[f220,f90]) ).
fof(f225,definition,
( spl27_1
<=> m1_relset_1(sK3,sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl27_1])],[avatar_definition]) ).
fof(f227,plain,
( ~ m1_relset_1(sK3,sK0,sK1)
| spl27_1 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f229,definition,
( spl27_2
<=> sF24 = k9_relat_1(sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl27_2])],[avatar_definition]) ).
fof(f231,plain,
( sF24 = k9_relat_1(sK3,sK2)
| ~ spl27_2 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f232,plain,
( ~ spl27_1
| spl27_2 ),
inference(avatar_split_clause,[],[f193,f229,f225]) ).
fof(f233,plain,
( $false
| spl27_1 ),
inference(forward_subsumption_resolution,[],[f227,f211]) ).
fof(f234,plain,
spl27_1,
inference(avatar_contradiction_clause,[],[f233]) ).
fof(f235,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k1_tarski(X1))
| X0 = X1 ),
inference(equality_resolution,[],[f109]) ).
fof(f246,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(k2_relset_2(X1,X4,X3,X2),a_4_0_relset_2(X1,X4,X0,X3))
| ~ r2_hidden(X2,X0)
| ~ m2_relset_1(X3,X1,X4)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(equality_resolution,[],[f186]) ).
fof(f254,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(k9_relat_1(X0,k1_tarski(X1)),a_4_0_relset_2(X2,X3,X4,X0))
| ~ r2_hidden(X1,X4)
| ~ m2_relset_1(X0,X2,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,X2)
| ~ m2_relset_1(X0,X2,X3) ),
inference(superposition,[],[f246,f198]) ).
fof(f256,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(k9_relat_1(X0,k1_tarski(X1)),a_4_0_relset_2(X2,X3,X4,X0))
| ~ r2_hidden(X1,X4)
| ~ m2_relset_1(X0,X2,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,X2) ),
inference(duplicate_literal_removal,[],[f254]) ).
fof(f259,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(k9_relat_1(X0,k1_tarski(X1)),a_4_0_relset_2(X2,X3,X4,X0))
| ~ r2_hidden(X1,X4)
| ~ m2_relset_1(X0,X2,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(X2)) ),
inference(forward_subsumption_resolution,[],[f256,f165]) ).
fof(f304,plain,
! [X0] :
( r2_hidden(k9_relat_1(sK3,k1_tarski(X0)),sF25)
| ~ r2_hidden(X0,sK2)
| ~ m2_relset_1(sK3,sK0,sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) ),
inference(superposition,[],[f259,f180]) ).
fof(f305,plain,
! [X0] :
( r2_hidden(k9_relat_1(sK3,k1_tarski(X0)),sF25)
| ~ r2_hidden(X0,sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) ),
inference(forward_subsumption_resolution,[],[f304,f90]) ).
fof(f306,plain,
! [X0] :
( ~ m1_subset_1(sK2,sF23)
| r2_hidden(k9_relat_1(sK3,k1_tarski(X0)),sF25)
| ~ r2_hidden(X0,sK2) ),
inference(forward_demodulation,[],[f305,f175]) ).
fof(f307,plain,
! [X0] :
( r2_hidden(k9_relat_1(sK3,k1_tarski(X0)),sF25)
| ~ r2_hidden(X0,sK2) ),
inference(forward_subsumption_resolution,[],[f306,f176]) ).
fof(f308,plain,
! [X0,X1] :
( ~ r2_hidden(X1,k9_relat_1(sK3,k1_tarski(X0)))
| ~ r2_hidden(X0,sK2)
| r2_hidden(X1,sF26) ),
inference(resolution,[],[f307,f214]) ).
fof(f391,plain,
! [X0,X1] :
( X0 != X1
| r2_hidden(X0,k1_tarski(X1)) ),
inference(equality_resolution,[],[f108]) ).
fof(f392,plain,
! [X0] : r2_hidden(X0,k1_tarski(X0)),
inference(equality_resolution,[],[f391]) ).
fof(f472,plain,
( ! [X2,X0,X1] :
( sF24 != X0
| ~ r2_hidden(X1,sK2)
| ~ r2_hidden(k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)),sK3)
| r2_hidden(X2,X0)
| ~ v1_relat_1(sK3) )
| ~ spl27_2 ),
inference(superposition,[],[f170,f231]) ).
fof(f473,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X2),k1_tarski(X0)),X3)
| r2_hidden(X2,k9_relat_1(X3,X1))
| ~ v1_relat_1(X3) ),
inference(equality_resolution,[],[f170]) ).
fof(f474,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,X2)),X3)
| ~ r2_hidden(X0,X1)
| r2_hidden(X2,k9_relat_1(X3,X1))
| ~ v1_relat_1(X3) ),
inference(forward_demodulation,[],[f473,f97]) ).
fof(f475,plain,
( ! [X2,X0,X1] :
( sF24 != X0
| ~ r2_hidden(X1,sK2)
| ~ r2_hidden(k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)),sK3)
| r2_hidden(X2,X0) )
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f472,f223]) ).
fof(f477,plain,
( ! [X2,X0,X1] :
( sF24 != X0
| ~ r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)),sK3)
| ~ r2_hidden(X1,sK2)
| r2_hidden(X2,X0) )
| ~ spl27_2 ),
inference(forward_demodulation,[],[f475,f97]) ).
fof(f479,plain,
( ! [X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),sK3)
| ~ r2_hidden(X0,sK2)
| r2_hidden(X1,sF24) )
| ~ spl27_2 ),
inference(equality_resolution,[],[f477]) ).
fof(f482,plain,
( ! [X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X0,X1)),sK3)
| ~ r2_hidden(X1,sK2)
| r2_hidden(X0,sF24) )
| ~ spl27_2 ),
inference(superposition,[],[f479,f97]) ).
fof(f492,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X0,X1)),X2)
| ~ r2_hidden(X1,X3)
| r2_hidden(X0,k9_relat_1(X2,X3))
| ~ v1_relat_1(X2) ),
inference(superposition,[],[f474,f97]) ).
fof(f672,plain,
! [X0,X1] :
( sF26 != X0
| ~ r2_hidden(X1,X0)
| r2_hidden(X1,sK10(sF25,X1)) ),
inference(superposition,[],[f119,f182]) ).
fof(f724,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( X0 != X5
| r2_hidden(k2_tarski(k2_tarski(sK5(X1,k1_tarski(sK16(X0,X2,X3,X4,X1)),X6),X6),k1_tarski(sK5(X1,k1_tarski(sK16(X0,X2,X3,X4,X1)),X6))),X1)
| ~ r2_hidden(X6,X5)
| ~ v1_relat_1(X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| v1_xboole_0(X2)
| ~ m2_relset_1(X1,X2,X3)
| ~ r2_hidden(X0,a_4_0_relset_2(X2,X3,X4,X1)) ),
inference(superposition,[],[f171,f206]) ).
fof(f725,plain,
( ! [X0,X1] :
( sF24 != X0
| r2_hidden(k2_tarski(k2_tarski(sK5(sK3,sK2,X1),X1),k1_tarski(sK5(sK3,sK2,X1))),sK3)
| ~ r2_hidden(X1,X0)
| ~ v1_relat_1(sK3) )
| ~ spl27_2 ),
inference(superposition,[],[f171,f231]) ).
fof(f728,plain,
( ! [X0,X1] :
( sF24 != X0
| r2_hidden(k2_tarski(k2_tarski(sK5(sK3,sK2,X1),X1),k1_tarski(sK5(sK3,sK2,X1))),sK3)
| ~ r2_hidden(X1,X0) )
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f725,f223]) ).
fof(f729,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( X0 != X5
| r2_hidden(k2_tarski(k2_tarski(sK5(X1,k1_tarski(sK16(X0,X2,X3,X4,X1)),X6),X6),k1_tarski(sK5(X1,k1_tarski(sK16(X0,X2,X3,X4,X1)),X6))),X1)
| ~ r2_hidden(X6,X5)
| ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| v1_xboole_0(X2)
| ~ m2_relset_1(X1,X2,X3)
| ~ r2_hidden(X0,a_4_0_relset_2(X2,X3,X4,X1)) ),
inference(forward_subsumption_resolution,[],[f724,f220]) ).
fof(f731,plain,
( ! [X0,X1] :
( r2_hidden(k2_tarski(k1_tarski(sK5(sK3,sK2,X1)),k2_tarski(sK5(sK3,sK2,X1),X1)),sK3)
| sF24 != X0
| ~ r2_hidden(X1,X0) )
| ~ spl27_2 ),
inference(forward_demodulation,[],[f728,f97]) ).
fof(f732,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( r2_hidden(k2_tarski(k1_tarski(sK5(X1,k1_tarski(sK16(X0,X2,X3,X4,X1)),X6)),k2_tarski(sK5(X1,k1_tarski(sK16(X0,X2,X3,X4,X1)),X6),X6)),X1)
| X0 != X5
| ~ r2_hidden(X6,X5)
| ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| v1_xboole_0(X2)
| ~ m2_relset_1(X1,X2,X3)
| ~ r2_hidden(X0,a_4_0_relset_2(X2,X3,X4,X1)) ),
inference(forward_demodulation,[],[f729,f97]) ).
fof(f733,plain,
( ! [X0,X1] :
( sF24 != X0
| r2_hidden(k2_tarski(k1_tarski(sK5(sK3,sK2,X1)),k2_tarski(X1,sK5(sK3,sK2,X1))),sK3)
| ~ r2_hidden(X1,X0) )
| ~ spl27_2 ),
inference(forward_demodulation,[],[f731,f97]) ).
fof(f734,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( X0 != X5
| r2_hidden(k2_tarski(k1_tarski(sK5(X1,k1_tarski(sK16(X0,X2,X3,X4,X1)),X6)),k2_tarski(X6,sK5(X1,k1_tarski(sK16(X0,X2,X3,X4,X1)),X6))),X1)
| ~ r2_hidden(X6,X5)
| ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| v1_xboole_0(X2)
| ~ m2_relset_1(X1,X2,X3)
| ~ r2_hidden(X0,a_4_0_relset_2(X2,X3,X4,X1)) ),
inference(forward_demodulation,[],[f732,f97]) ).
fof(f735,plain,
( ! [X0] :
( r2_hidden(k2_tarski(k1_tarski(sK5(sK3,sK2,X0)),k2_tarski(X0,sK5(sK3,sK2,X0))),sK3)
| ~ r2_hidden(X0,sF24) )
| ~ spl27_2 ),
inference(equality_resolution,[],[f733]) ).
fof(f769,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(k2_tarski(k1_tarski(sK5(X0,k1_tarski(sK16(X1,X2,X3,X4,X0)),X5)),k2_tarski(X5,sK5(X0,k1_tarski(sK16(X1,X2,X3,X4,X0)),X5))),X0)
| ~ r2_hidden(X5,X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| v1_xboole_0(X2)
| ~ m2_relset_1(X0,X2,X3)
| ~ r2_hidden(X1,a_4_0_relset_2(X2,X3,X4,X0)) ),
inference(equality_resolution,[],[f734]) ).
fof(f770,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(sK5(sK3,k1_tarski(sK16(X1,X3,X4,X2,sK3)),X0),sK2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| v1_xboole_0(X3)
| ~ m2_relset_1(sK3,X3,X4)
| ~ r2_hidden(X1,a_4_0_relset_2(X3,X4,X2,sK3))
| ~ r2_hidden(X0,X1)
| r2_hidden(X0,sF24) )
| ~ spl27_2 ),
inference(resolution,[],[f769,f482]) ).
fof(f807,plain,
! [X0,X1] :
( sF26 != X0
| ~ r2_hidden(X1,X0)
| r2_hidden(sK10(sF25,X1),sF25) ),
inference(superposition,[],[f118,f182]) ).
fof(f870,plain,
! [X0] :
( r2_hidden(sK10(sF25,X0),sF25)
| ~ r2_hidden(X0,sF26) ),
inference(equality_resolution,[],[f807]) ).
fof(f1170,plain,
( ! [X0,X1] :
( ~ r2_hidden(sK5(sK3,sK2,X0),X1)
| r2_hidden(X0,k9_relat_1(sK3,X1))
| ~ v1_relat_1(sK3)
| ~ r2_hidden(X0,sF24) )
| ~ spl27_2 ),
inference(resolution,[],[f492,f735]) ).
fof(f1184,plain,
( ! [X0,X1] :
( ~ r2_hidden(sK5(sK3,sK2,X0),X1)
| r2_hidden(X0,k9_relat_1(sK3,X1))
| ~ r2_hidden(X0,sF24) )
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f1170,f223]) ).
fof(f1188,plain,
( ! [X0] :
( r2_hidden(X0,k9_relat_1(sK3,k1_tarski(sK5(sK3,sK2,X0))))
| ~ r2_hidden(X0,sF24) )
| ~ spl27_2 ),
inference(resolution,[],[f1184,f392]) ).
fof(f1192,plain,
( ! [X0] :
( ~ r2_hidden(sK5(sK3,sK2,X0),sK2)
| ~ r2_hidden(X0,sF24)
| r2_hidden(X0,sF26) )
| ~ spl27_2 ),
inference(resolution,[],[f1188,f308]) ).
fof(f1317,definition,
( spl27_20
<=> ! [X0] :
( ~ r2_hidden(X0,sF24)
| r2_hidden(X0,sF26) ) ),
introduced(definition,[new_symbols(definition,[spl27_20])],[avatar_definition]) ).
fof(f1318,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF24)
| r2_hidden(X0,sF26) )
| ~ spl27_20 ),
inference(avatar_component_clause,[],[f1317]) ).
fof(f1385,plain,
( ! [X0] :
( r2_hidden(sK22(X0,sF24),sF26)
| r2_hidden(sK22(X0,sF24),X0)
| sF24 = X0 )
| ~ spl27_20 ),
inference(resolution,[],[f1318,f161]) ).
fof(f1392,plain,
( r2_hidden(sK22(sF26,sF24),sF26)
| sF24 = sF26
| ~ spl27_20 ),
inference(factoring,[],[f1385]) ).
fof(f1393,plain,
( r2_hidden(sK22(sF26,sF24),sF26)
| ~ spl27_20 ),
inference(forward_subsumption_resolution,[],[f1392,f183]) ).
fof(f1889,plain,
! [X0] :
( r2_hidden(X0,sK10(sF25,X0))
| ~ r2_hidden(X0,sF26) ),
inference(equality_resolution,[],[f672]) ).
fof(f4688,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( X0 != X5
| r2_hidden(sK5(X1,k1_tarski(sK16(X0,X2,X3,X4,X1)),X6),k1_tarski(sK16(X0,X2,X3,X4,X1)))
| ~ r2_hidden(X6,X5)
| ~ v1_relat_1(X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| v1_xboole_0(X2)
| ~ m2_relset_1(X1,X2,X3)
| ~ r2_hidden(X0,a_4_0_relset_2(X2,X3,X4,X1)) ),
inference(superposition,[],[f104,f206]) ).
fof(f4689,plain,
( ! [X0,X1] :
( sF24 != X0
| r2_hidden(sK5(sK3,sK2,X1),sK2)
| ~ r2_hidden(X1,X0)
| ~ v1_relat_1(sK3) )
| ~ spl27_2 ),
inference(superposition,[],[f104,f231]) ).
fof(f4691,plain,
( ! [X0,X1] :
( sF24 != X0
| r2_hidden(sK5(sK3,sK2,X1),sK2)
| ~ r2_hidden(X1,X0) )
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f4689,f223]) ).
fof(f4692,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( X0 != X5
| r2_hidden(sK5(X1,k1_tarski(sK16(X0,X2,X3,X4,X1)),X6),k1_tarski(sK16(X0,X2,X3,X4,X1)))
| ~ r2_hidden(X6,X5)
| ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| v1_xboole_0(X2)
| ~ m2_relset_1(X1,X2,X3)
| ~ r2_hidden(X0,a_4_0_relset_2(X2,X3,X4,X1)) ),
inference(forward_subsumption_resolution,[],[f4688,f220]) ).
fof(f4693,plain,
( ! [X0] :
( r2_hidden(sK5(sK3,sK2,X0),sK2)
| ~ r2_hidden(X0,sF24) )
| ~ spl27_2 ),
inference(equality_resolution,[],[f4691]) ).
fof(f4696,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF24)
| ~ r2_hidden(X0,sF24)
| r2_hidden(X0,sF26) )
| ~ spl27_2 ),
inference(resolution,[],[f4693,f1192]) ).
fof(f4711,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF24)
| r2_hidden(X0,sF26) )
| ~ spl27_2 ),
inference(duplicate_literal_removal,[],[f4696]) ).
fof(f5026,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(sK5(X0,k1_tarski(sK16(X1,X2,X3,X4,X0)),X5),k1_tarski(sK16(X1,X2,X3,X4,X0)))
| ~ r2_hidden(X5,X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| v1_xboole_0(X2)
| ~ m2_relset_1(X0,X2,X3)
| ~ r2_hidden(X1,a_4_0_relset_2(X2,X3,X4,X0)) ),
inference(equality_resolution,[],[f4692]) ).
fof(f5032,plain,
! [X2,X3,X0,X1,X4,X5] :
( sK16(X1,X3,X5,X2,X4) = sK5(X4,k1_tarski(sK16(X1,X3,X5,X2,X4)),X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| v1_xboole_0(X3)
| ~ m2_relset_1(X4,X3,X5)
| ~ r2_hidden(X1,a_4_0_relset_2(X3,X5,X2,X4))
| ~ r2_hidden(X0,X1) ),
inference(resolution,[],[f5026,f235]) ).
fof(f5047,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(sK16(X0,X1,X2,X3,sK3),sK2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| v1_xboole_0(X1)
| ~ m2_relset_1(sK3,X1,X2)
| ~ r2_hidden(X0,a_4_0_relset_2(X1,X2,X3,sK3))
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,sF24)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| v1_xboole_0(X1)
| ~ m2_relset_1(sK3,X1,X2)
| ~ r2_hidden(X0,a_4_0_relset_2(X1,X2,X3,sK3))
| ~ r2_hidden(X4,X0) )
| ~ spl27_2 ),
inference(superposition,[],[f770,f5032]) ).
fof(f5061,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(sK16(X0,X1,X2,X3,sK3),sK2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| v1_xboole_0(X1)
| ~ m2_relset_1(sK3,X1,X2)
| ~ r2_hidden(X0,a_4_0_relset_2(X1,X2,X3,sK3))
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,sF24) )
| ~ spl27_2 ),
inference(duplicate_literal_removal,[],[f5047]) ).
fof(f5441,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ m2_relset_1(sK3,X0,X1)
| ~ r2_hidden(X2,a_4_0_relset_2(X0,X1,sK2,sK3))
| ~ r2_hidden(X3,X2)
| r2_hidden(X3,sF24)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ m2_relset_1(sK3,X0,X1)
| ~ r2_hidden(X2,a_4_0_relset_2(X0,X1,sK2,sK3)) )
| ~ spl27_2 ),
inference(resolution,[],[f5061,f141]) ).
fof(f5448,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X2,a_4_0_relset_2(X0,X1,sK2,sK3))
| v1_xboole_0(X0)
| ~ m2_relset_1(sK3,X0,X1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| ~ r2_hidden(X3,X2)
| r2_hidden(X3,sF24) )
| ~ spl27_2 ),
inference(duplicate_literal_removal,[],[f5441]) ).
fof(f5466,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF25)
| v1_xboole_0(sK0)
| ~ m2_relset_1(sK3,sK0,sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| ~ r2_hidden(X1,X0)
| r2_hidden(X1,sF24) )
| ~ spl27_2 ),
inference(superposition,[],[f5448,f180]) ).
fof(f5470,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF25)
| ~ m2_relset_1(sK3,sK0,sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| ~ r2_hidden(X1,X0)
| r2_hidden(X1,sF24) )
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f5466,f93]) ).
fof(f5474,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF25)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| ~ r2_hidden(X1,X0)
| r2_hidden(X1,sF24) )
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f5470,f90]) ).
fof(f5475,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK2,sF23)
| ~ r2_hidden(X0,sF25)
| ~ r2_hidden(X1,X0)
| r2_hidden(X1,sF24) )
| ~ spl27_2 ),
inference(forward_demodulation,[],[f5474,f175]) ).
fof(f5476,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sF25)
| r2_hidden(X1,sF24) )
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f5475,f176]) ).
fof(f5486,plain,
( ! [X0] :
( ~ r2_hidden(sK10(sF25,X0),sF25)
| r2_hidden(X0,sF24)
| ~ r2_hidden(X0,sF26) )
| ~ spl27_2 ),
inference(resolution,[],[f5476,f1889]) ).
fof(f5559,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF26)
| r2_hidden(X0,sF24) )
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f5486,f870]) ).
fof(f5582,plain,
( r2_hidden(sK22(sF26,sF24),sF24)
| ~ spl27_2
| ~ spl27_20 ),
inference(resolution,[],[f5559,f1393]) ).
fof(f5585,plain,
( ~ r2_hidden(sK22(sF26,sF24),sF26)
| sF24 = sF26
| ~ spl27_2
| ~ spl27_20 ),
inference(resolution,[],[f5582,f162]) ).
fof(f5595,plain,
( sF24 = sF26
| ~ spl27_2
| ~ spl27_20 ),
inference(forward_subsumption_resolution,[],[f5585,f1393]) ).
fof(f5596,plain,
( $false
| ~ spl27_2
| ~ spl27_20 ),
inference(forward_subsumption_resolution,[],[f5595,f183]) ).
fof(f5597,plain,
( ~ spl27_2
| ~ spl27_20 ),
inference(avatar_contradiction_clause,[],[f5596]) ).
fof(f5603,plain,
( spl27_20
| ~ spl27_2 ),
inference(avatar_split_clause,[],[f4711,f229,f1317]) ).
cnf(s1,plain,
( ~ spl27_1
| spl27_2 ),
inference(sat_conversion,[],[f232]) ).
cnf(s2,plain,
spl27_1,
inference(sat_conversion,[],[f234]) ).
cnf(s45,plain,
( ~ spl27_2
| ~ spl27_20 ),
inference(sat_conversion,[],[f5597]) ).
cnf(s46,plain,
( ~ spl27_2
| spl27_20 ),
inference(sat_conversion,[],[f5603]) ).
cnf(s49,plain,
spl27_2,
inference(rat,[],[s1,s2]) ).
cnf(s50,plain,
spl27_20,
inference(rat,[],[s46,s49]) ).
cnf(s51,plain,
$false,
inference(rat,[],[s45,s50,s49]) ).
fof(f5604,plain,
$false,
inference(avatar_sat_refutation,[],[s51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU423+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 28 05:20:49 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 16.00/3.04 % (4047423)Detected formulas, will run a generic FOF schedule.
% 16.00/3.04 % (4047428)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=267309165:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 16.00/3.04 % (4047434)dis-21_1_sil=8000:lcm=predicate:random_seed=3894372234: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)
% 16.00/3.04 % (4047431)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4107943095:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 16.00/3.04 % (4047430)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=1705482066:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 16.00/3.04 % (4047432)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=965966201:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 16.00/3.04 % (4047429)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=3117586651:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 16.00/3.04 % (4047433)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1152260364:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 16.00/3.04 % (4047431)Refutation not found, incomplete strategy
% 16.00/3.04 % (4047431)------------------------------
% 16.00/3.04 % (4047431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.00/3.04 % (4047431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.00/3.04 % (4047431)CaDiCaL version: 2.1.3
% 16.00/3.04 % (4047431)Termination reason: Refutation not found, incomplete strategy
% 16.00/3.04 % (4047431)Time elapsed: 0.002 s
% 16.00/3.04 % (4047431)Peak memory usage: 88 MB
% 16.00/3.04 % (4047431)Instructions burned: 2 (million)
% 16.00/3.04 % (4047432)Instruction limit reached!
% 16.00/3.04 % (4047432)------------------------------
% 16.00/3.04 % (4047432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.00/3.04 % (4047432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.00/3.04 % (4047432)CaDiCaL version: 2.1.3
% 16.00/3.04 % (4047432)Termination reason: Instruction limit
% 16.00/3.04 % (4047432)Termination phase: Saturation
% 16.00/3.04 % (4047432)Time elapsed: 0.073 s
% 16.00/3.04 % (4047432)Peak memory usage: 88 MB
% 16.00/3.04 % (4047432)Instructions burned: 119 (million)
% 16.00/3.04 % (4047434)Instruction limit reached!
% 16.00/3.04 % (4047434)------------------------------
% 16.00/3.04 % (4047434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.00/3.04 % (4047434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.00/3.04 % (4047434)CaDiCaL version: 2.1.3
% 16.00/3.04 % (4047434)Termination reason: Instruction limit
% 16.00/3.04 % (4047434)Termination phase: Saturation
% 16.00/3.04 % (4047434)Time elapsed: 0.079 s
% 16.00/3.04 % (4047434)Peak memory usage: 89 MB
% 16.00/3.04 % (4047434)Instructions burned: 130 (million)
% 16.00/3.04 % (4047433)Instruction limit reached!
% 16.00/3.04 % (4047433)------------------------------
% 16.00/3.04 % (4047433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.00/3.04 % (4047433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.00/3.04 % (4047433)CaDiCaL version: 2.1.3
% 16.00/3.04 % (4047433)Termination reason: Instruction limit
% 16.00/3.04 % (4047433)Termination phase: Saturation
% 16.00/3.04 % (4047433)Time elapsed: 0.100 s
% 16.00/3.04 % (4047433)Peak memory usage: 90 MB
% 16.00/3.04 % (4047433)Instructions burned: 139 (million)
% 16.00/3.04 % (4047443)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4141793058:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 16.00/3.04 % (4047442)lrs+10_1_sil=8000:sp=occurrence:random_seed=640340375:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 16.00/3.04 % (4047431)------------------------------
% 16.00/3.04 % (4047431)------------------------------
% 16.00/3.04 % (4047444)lrs+1011_1_sil=32000:sp=occurrence:random_seed=473729761:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 16.00/3.04 % (4047443)Instruction limit reached!
% 16.00/3.04 % (4047443)------------------------------
% 16.00/3.04 % (4047443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.64/4.02 % (4047443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.64/4.02 % (4047443)CaDiCaL version: 2.1.3
% 21.64/4.02 % (4047443)Termination reason: Instruction limit
% 21.64/4.02 % (4047443)Termination phase: Saturation
% 21.64/4.02 % (4047443)Time elapsed: 0.092 s
% 21.64/4.02 % (4047443)Peak memory usage: 90 MB
% 21.64/4.02 % (4047443)Instructions burned: 157 (million)
% 21.64/4.02 % (4047442)Instruction limit reached!
% 21.64/4.02 % (4047442)------------------------------
% 21.64/4.02 % (4047442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.64/4.02 % (4047442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.64/4.02 % (4047442)CaDiCaL version: 2.1.3
% 21.64/4.02 % (4047442)Termination reason: Instruction limit
% 21.64/4.02 % (4047442)Termination phase: Saturation
% 21.64/4.02 % (4047442)Time elapsed: 0.172 s
% 21.64/4.02 % (4047442)Peak memory usage: 92 MB
% 21.64/4.02 % (4047442)Instructions burned: 286 (million)
% 21.64/4.02 % (4047447)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=544838831:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 21.64/4.02 % (4047444)Instruction limit reached!
% 21.64/4.02 % (4047444)------------------------------
% 21.64/4.02 % (4047444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.64/4.02 % (4047444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.64/4.02 % (4047444)CaDiCaL version: 2.1.3
% 21.64/4.02 % (4047444)Termination reason: Instruction limit
% 21.64/4.02 % (4047444)Termination phase: Saturation
% 21.64/4.02 % (4047444)Time elapsed: 0.218 s
% 21.64/4.02 % (4047444)Peak memory usage: 92 MB
% 21.64/4.02 % (4047444)Instructions burned: 325 (million)
% 21.64/4.02 % (4047449)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=721021237:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 21.64/4.02 % (4047447)Instruction limit reached!
% 21.64/4.02 % (4047447)------------------------------
% 21.64/4.02 % (4047447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.64/4.02 % (4047447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.64/4.02 % (4047447)CaDiCaL version: 2.1.3
% 21.64/4.02 % (4047447)Termination reason: Instruction limit
% 21.64/4.02 % (4047447)Termination phase: Saturation
% 21.64/4.02 % (4047447)Time elapsed: 0.149 s
% 21.64/4.02 % (4047447)Peak memory usage: 92 MB
% 21.64/4.02 % (4047447)Instructions burned: 248 (million)
% 21.64/4.02 % (4047451)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3009409169:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 21.64/4.02 % (4047452)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3259662333:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 21.64/4.02 % (4047449)Instruction limit reached!
% 21.64/4.02 % (4047449)------------------------------
% 21.64/4.02 % (4047449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.64/4.02 % (4047449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.64/4.02 % (4047449)CaDiCaL version: 2.1.3
% 21.64/4.02 % (4047449)Termination reason: Instruction limit
% 21.64/4.02 % (4047449)Termination phase: Saturation
% 21.64/4.02 % (4047449)Time elapsed: 0.175 s
% 21.64/4.02 % (4047449)Peak memory usage: 89 MB
% 21.64/4.02 % (4047449)Instructions burned: 295 (million)
% 21.64/4.02 % (4047454)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=881914088:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 21.64/4.02 % (4047452)Instruction limit reached!
% 21.64/4.02 % (4047452)------------------------------
% 21.64/4.02 % (4047452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.64/4.02 % (4047452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.64/4.02 % (4047452)CaDiCaL version: 2.1.3
% 21.64/4.02 % (4047452)Termination reason: Instruction limit
% 21.64/4.02 % (4047452)Termination phase: Saturation
% 21.64/4.02 % (4047452)Time elapsed: 0.081 s
% 21.64/4.02 % (4047452)Peak memory usage: 90 MB
% 21.64/4.02 % (4047452)Instructions burned: 113 (million)
% 21.64/4.02 % (4047454)Instruction limit reached!
% 21.64/4.02 % (4047454)------------------------------
% 21.64/4.02 % (4047454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.64/4.02 % (4047454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.64/4.02 % (4047454)CaDiCaL version: 2.1.3
% 61.91/9.52 % (4047454)Termination reason: Instruction limit
% 61.91/9.52 % (4047454)Termination phase: Saturation
% 61.91/9.52 % (4047454)Time elapsed: 0.071 s
% 61.91/9.52 % (4047454)Peak memory usage: 89 MB
% 61.91/9.52 % (4047454)Instructions burned: 128 (million)
% 61.91/9.52 % (4047457)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1648192694:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 61.91/9.52 % (4047459)lrs+10_1_sil=8000:sp=occurrence:random_seed=2197826018:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 61.91/9.52 % (4047457)Instruction limit reached!
% 61.91/9.52 % (4047457)------------------------------
% 61.91/9.52 % (4047457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.91/9.52 % (4047457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.91/9.52 % (4047457)CaDiCaL version: 2.1.3
% 61.91/9.52 % (4047457)Termination reason: Instruction limit
% 61.91/9.52 % (4047457)Termination phase: Saturation
% 61.91/9.52 % (4047457)Time elapsed: 0.067 s
% 61.91/9.52 % (4047457)Peak memory usage: 89 MB
% 61.91/9.52 % (4047457)Instructions burned: 114 (million)
% 61.91/9.52 % (4047460)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1091645304:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 61.91/9.52 % (4047460)Refutation not found, incomplete strategy
% 61.91/9.52 % (4047460)------------------------------
% 61.91/9.52 % (4047460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.91/9.52 % (4047460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.91/9.52 % (4047460)CaDiCaL version: 2.1.3
% 61.91/9.52 % (4047460)Termination reason: Refutation not found, incomplete strategy
% 61.91/9.52 % (4047460)Time elapsed: 0.004 s
% 61.91/9.52 % (4047460)Peak memory usage: 89 MB
% 61.91/9.52 % (4047460)Instructions burned: 4 (million)
% 61.91/9.52 % (4047463)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1842719619:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 61.91/9.52 % (4047460)------------------------------
% 61.91/9.52 % (4047460)------------------------------
% 61.91/9.52 % (4047466)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=867051828:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 61.91/9.52 % (4047459)Instruction limit reached!
% 61.91/9.52 % (4047459)------------------------------
% 61.91/9.52 % (4047459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.91/9.52 % (4047459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.91/9.52 % (4047459)CaDiCaL version: 2.1.3
% 61.91/9.52 % (4047459)Termination reason: Instruction limit
% 61.91/9.52 % (4047459)Termination phase: Saturation
% 61.91/9.52 % (4047459)Time elapsed: 0.528 s
% 61.91/9.52 % (4047459)Peak memory usage: 98 MB
% 61.91/9.52 % (4047459)Instructions burned: 908 (million)
% 61.91/9.52 % (4047466)Instruction limit reached!
% 61.91/9.52 % (4047466)------------------------------
% 61.91/9.52 % (4047466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.91/9.52 % (4047466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.91/9.52 % (4047466)CaDiCaL version: 2.1.3
% 61.91/9.52 % (4047466)Termination reason: Instruction limit
% 61.91/9.52 % (4047466)Termination phase: Saturation
% 61.91/9.52 % (4047466)Time elapsed: 0.077 s
% 61.91/9.52 % (4047466)Peak memory usage: 91 MB
% 61.91/9.52 % (4047466)Instructions burned: 136 (million)
% 61.91/9.52 % (4047468)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4229137823:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 61.91/9.52 % (4047469)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=632723153:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 61.91/9.52 % (4047468)Instruction limit reached!
% 61.91/9.52 % (4047468)------------------------------
% 61.91/9.52 % (4047468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.91/9.52 % (4047468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.91/9.52 % (4047468)CaDiCaL version: 2.1.3
% 61.91/9.52 % (4047468)Termination reason: Instruction limit
% 61.91/9.52 % (4047468)Termination phase: Saturation
% 61.91/9.52 % (4047468)Time elapsed: 0.328 s
% 61.91/9.52 % (4047468)Peak memory usage: 94 MB
% 61.91/9.52 % (4047468)Instructions burned: 593 (million)
% 61.91/9.52 % (4047472)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=3278066195:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 88.15/13.23 % (4047451)Instruction limit reached!
% 88.15/13.23 % (4047451)------------------------------
% 88.15/13.23 % (4047451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.15/13.23 % (4047451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.15/13.23 % (4047451)CaDiCaL version: 2.1.3
% 88.15/13.23 % (4047451)Termination reason: Instruction limit
% 88.15/13.23 % (4047451)Termination phase: Saturation
% 88.15/13.23 % (4047451)Time elapsed: 1.482 s
% 88.15/13.23 % (4047451)Peak memory usage: 142 MB
% 88.15/13.23 % (4047451)Instructions burned: 2351 (million)
% 88.15/13.23 % (4047472)Instruction limit reached!
% 88.15/13.23 % (4047472)------------------------------
% 88.15/13.23 % (4047472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.15/13.23 % (4047472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.15/13.23 % (4047472)CaDiCaL version: 2.1.3
% 88.15/13.23 % (4047472)Termination reason: Instruction limit
% 88.15/13.23 % (4047472)Termination phase: Saturation
% 88.15/13.23 % (4047472)Time elapsed: 0.080 s
% 88.15/13.23 % (4047472)Peak memory usage: 91 MB
% 88.15/13.23 % (4047472)Instructions burned: 125 (million)
% 88.15/13.23 % (4047474)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2297129349:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 88.15/13.23 % (4047475)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2226557750:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 88.15/13.23 % (4047475)Refutation not found, incomplete strategy
% 88.15/13.23 % (4047475)------------------------------
% 88.15/13.23 % (4047475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.15/13.23 % (4047475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.15/13.23 % (4047475)CaDiCaL version: 2.1.3
% 88.15/13.23 % (4047475)Termination reason: Refutation not found, incomplete strategy
% 88.15/13.23 % (4047475)Time elapsed: 0.005 s
% 88.15/13.23 % (4047475)Peak memory usage: 89 MB
% 88.15/13.23 % (4047475)Instructions burned: 3 (million)
% 88.15/13.23 % (4047474)Instruction limit reached!
% 88.15/13.23 % (4047474)------------------------------
% 88.15/13.23 % (4047474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.15/13.23 % (4047474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.15/13.23 % (4047474)CaDiCaL version: 2.1.3
% 88.15/13.23 % (4047474)Termination reason: Instruction limit
% 88.15/13.23 % (4047474)Termination phase: Saturation
% 88.15/13.23 % (4047474)Time elapsed: 0.091 s
% 88.15/13.23 % (4047474)Peak memory usage: 90 MB
% 88.15/13.23 % (4047474)Instructions burned: 135 (million)
% 88.15/13.23 % (4047478)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3676598584:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 88.15/13.23 % (4047475)------------------------------
% 88.15/13.23 % (4047475)------------------------------
% 88.15/13.23 % (4047480)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2211002327:i=6060:aac=none:ins=25_2972 on theBenchmark for (2972ds/6060Mi)
% 88.15/13.23 % (4047478)Instruction limit reached!
% 88.15/13.23 % (4047478)------------------------------
% 88.15/13.23 % (4047478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.15/13.23 % (4047478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.15/13.23 % (4047478)CaDiCaL version: 2.1.3
% 88.15/13.23 % (4047478)Termination reason: Instruction limit
% 88.15/13.23 % (4047478)Termination phase: Saturation
% 88.15/13.23 % (4047478)Time elapsed: 0.269 s
% 88.15/13.23 % (4047478)Peak memory usage: 93 MB
% 88.15/13.23 % (4047478)Instructions burned: 432 (million)
% 88.15/13.23 % (4047482)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3038280527:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2970 on theBenchmark for (2970ds/150Mi)
% 88.15/13.23 % (4047482)Instruction limit reached!
% 88.15/13.23 % (4047482)------------------------------
% 88.15/13.23 % (4047482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.15/13.23 % (4047482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.16/18.68 % (4047482)CaDiCaL version: 2.1.3
% 126.16/18.68 % (4047482)Termination reason: Instruction limit
% 126.16/18.68 % (4047482)Termination phase: Saturation
% 126.16/18.68 % (4047482)Time elapsed: 0.098 s
% 126.16/18.68 % (4047482)Peak memory usage: 91 MB
% 126.16/18.68 % (4047482)Instructions burned: 150 (million)
% 126.16/18.68 % (4047484)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2147494912:i=14155:bd=all_2968 on theBenchmark for (2968ds/14155Mi)
% 126.16/18.68 % (4047463)Instruction limit reached!
% 126.16/18.68 % (4047463)------------------------------
% 126.16/18.68 % (4047463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.16/18.68 % (4047463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.16/18.68 % (4047463)CaDiCaL version: 2.1.3
% 126.16/18.68 % (4047463)Termination reason: Instruction limit
% 126.16/18.68 % (4047463)Termination phase: Saturation
% 126.16/18.68 % (4047463)Time elapsed: 3.111 s
% 126.16/18.68 % (4047463)Peak memory usage: 160 MB
% 126.16/18.68 % (4047463)Instructions burned: 5203 (million)
% 126.16/18.68 % (4047486)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2664366948:i=667:av=off:fsr=off_2956 on theBenchmark for (2956ds/667Mi)
% 126.16/18.68 % (4047486)Instruction limit reached!
% 126.16/18.68 % (4047486)------------------------------
% 126.16/18.68 % (4047486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.16/18.68 % (4047486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.16/18.68 % (4047486)CaDiCaL version: 2.1.3
% 126.16/18.68 % (4047486)Termination reason: Instruction limit
% 126.16/18.68 % (4047486)Termination phase: Saturation
% 126.16/18.68 % (4047486)Time elapsed: 0.358 s
% 126.16/18.68 % (4047486)Peak memory usage: 103 MB
% 126.16/18.68 % (4047486)Instructions burned: 668 (million)
% 126.16/18.68 % (4047488)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2044612488:s2a=on:i=185:s2at=1.8:fdi=4_2951 on theBenchmark for (2951ds/185Mi)
% 126.16/18.68 % (4047488)Instruction limit reached!
% 126.16/18.68 % (4047488)------------------------------
% 126.16/18.68 % (4047488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.16/18.68 % (4047488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.16/18.68 % (4047488)CaDiCaL version: 2.1.3
% 126.16/18.68 % (4047488)Termination reason: Instruction limit
% 126.16/18.68 % (4047488)Termination phase: Saturation
% 126.16/18.68 % (4047488)Time elapsed: 0.113 s
% 126.16/18.68 % (4047488)Peak memory usage: 92 MB
% 126.16/18.68 % (4047488)Instructions burned: 186 (million)
% 126.16/18.68 % (4047490)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3748763382:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2948 on theBenchmark for (2948ds/193Mi)
% 126.16/18.68 % (4047490)Instruction limit reached!
% 126.16/18.68 % (4047490)------------------------------
% 126.16/18.68 % (4047490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.16/18.68 % (4047490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.16/18.68 % (4047490)CaDiCaL version: 2.1.3
% 126.16/18.68 % (4047490)Termination reason: Instruction limit
% 126.16/18.68 % (4047490)Termination phase: Saturation
% 126.16/18.68 % (4047490)Time elapsed: 0.121 s
% 126.16/18.68 % (4047490)Peak memory usage: 91 MB
% 126.16/18.68 % (4047490)Instructions burned: 194 (million)
% 126.16/18.68 % (4047492)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=328938056:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2945 on theBenchmark for (2945ds/4850Mi)
% 126.16/18.68 % (4047480)Instruction limit reached!
% 126.16/18.68 % (4047480)------------------------------
% 126.16/18.68 % (4047480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.16/18.68 % (4047480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.16/18.68 % (4047480)CaDiCaL version: 2.1.3
% 126.16/18.68 % (4047480)Termination reason: Instruction limit
% 126.16/18.68 % (4047480)Termination phase: Saturation
% 126.16/18.68 % (4047480)Time elapsed: 3.734 s
% 126.16/18.68 % (4047480)Peak memory usage: 163 MB
% 126.16/18.68 % (4047480)Instructions burned: 6062 (million)
% 126.16/18.68 % (4047494)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2619459057:i=12111:sd=1:ss=included_2933 on theBenchmark for (2933ds/12111Mi)
% 126.16/18.68 % (4047492)Instruction limit reached!
% 126.16/18.68 % (4047492)------------------------------
% 157.03/22.99 % (4047492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 157.03/22.99 % (4047492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 157.03/22.99 % (4047492)CaDiCaL version: 2.1.3
% 157.03/22.99 % (4047492)Termination reason: Instruction limit
% 157.03/22.99 % (4047492)Termination phase: Saturation
% 157.03/22.99 % (4047492)Time elapsed: 3.066 s
% 157.03/22.99 % (4047492)Peak memory usage: 131 MB
% 157.03/22.99 % (4047492)Instructions burned: 4851 (million)
% 157.03/22.99 % (4047496)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=549632933:i=319:kws=precedence:fsr=off_2912 on theBenchmark for (2912ds/319Mi)
% 157.03/22.99 % (4047496)Instruction limit reached!
% 157.03/22.99 % (4047496)------------------------------
% 157.03/22.99 % (4047496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 157.03/22.99 % (4047496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 157.03/22.99 % (4047496)CaDiCaL version: 2.1.3
% 157.03/22.99 % (4047496)Termination reason: Instruction limit
% 157.03/22.99 % (4047496)Termination phase: Saturation
% 157.03/22.99 % (4047496)Time elapsed: 0.203 s
% 157.03/22.99 % (4047496)Peak memory usage: 93 MB
% 157.03/22.99 % (4047496)Instructions burned: 320 (million)
% 157.03/22.99 % (4047498)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=53974434:i=2064:ep=RST_2909 on theBenchmark for (2909ds/2064Mi)
% 157.03/22.99 % (4047469)Instruction limit reached!
% 157.03/22.99 % (4047469)------------------------------
% 157.03/22.99 % (4047469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 157.03/22.99 % (4047469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 157.03/22.99 % (4047469)CaDiCaL version: 2.1.3
% 157.03/22.99 % (4047469)Termination reason: Instruction limit
% 157.03/22.99 % (4047469)Termination phase: Saturation
% 157.03/22.99 % (4047469)Time elapsed: 7.491 s
% 157.03/22.99 % (4047469)Peak memory usage: 219 MB
% 157.03/22.99 % (4047469)Instructions burned: 13194 (million)
% 157.03/22.99 % (4047500)dis-1011_128_sil=32000:random_seed=3612566741:i=3706:ep=RST:av=off_2907 on theBenchmark for (2907ds/3706Mi)
% 157.03/22.99 % (4047498)Instruction limit reached!
% 157.03/22.99 % (4047498)------------------------------
% 157.03/22.99 % (4047498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 157.03/22.99 % (4047498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 157.03/22.99 % (4047498)CaDiCaL version: 2.1.3
% 157.03/22.99 % (4047498)Termination reason: Instruction limit
% 157.03/22.99 % (4047498)Termination phase: Saturation
% 157.03/22.99 % (4047498)Time elapsed: 1.132 s
% 157.03/22.99 % (4047498)Peak memory usage: 104 MB
% 157.03/22.99 % (4047498)Instructions burned: 2064 (million)
% 157.03/22.99 % (4047502)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3130008094:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2896 on theBenchmark for (2896ds/757Mi)
% 157.03/22.99 % (4047502)Instruction limit reached!
% 157.03/22.99 % (4047502)------------------------------
% 157.03/22.99 % (4047502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 157.03/22.99 % (4047502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 157.03/22.99 % (4047502)CaDiCaL version: 2.1.3
% 157.03/22.99 % (4047502)Termination reason: Instruction limit
% 157.03/22.99 % (4047502)Termination phase: Saturation
% 157.03/22.99 % (4047502)Time elapsed: 0.405 s
% 157.03/22.99 % (4047502)Peak memory usage: 108 MB
% 157.03/22.99 % (4047502)Instructions burned: 757 (million)
% 157.03/22.99 % (4047504)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1053938950:i=13913:ss=axioms:sgt=8_2890 on theBenchmark for (2890ds/13913Mi)
% 157.03/22.99 % (4047500)Instruction limit reached!
% 157.03/22.99 % (4047500)------------------------------
% 157.03/22.99 % (4047500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 157.03/22.99 % (4047500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 157.03/22.99 % (4047500)CaDiCaL version: 2.1.3
% 157.03/22.99 % (4047500)Termination reason: Instruction limit
% 157.03/22.99 % (4047500)Termination phase: Saturation
% 157.03/22.99 % (4047500)Time elapsed: 2.083 s
% 157.03/22.99 % (4047500)Peak memory usage: 108 MB
% 157.03/22.99 % (4047500)Instructions burned: 3706 (million)
% 157.03/22.99 % (4047506)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=1343254477:i=9925:aac=none_2884 on theBenchmark for (2884ds/9925Mi)
% 157.03/22.99 % (4047484)Instruction limit reached!
% 157.03/22.99 % (4047484)------------------------------
% 186.38/27.08 % (4047484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 186.38/27.08 % (4047484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 186.38/27.08 % (4047484)CaDiCaL version: 2.1.3
% 186.38/27.08 % (4047484)Termination reason: Instruction limit
% 186.38/27.08 % (4047484)Termination phase: Saturation
% 186.38/27.08 % (4047484)Time elapsed: 9.041 s
% 186.38/27.08 % (4047484)Peak memory usage: 194 MB
% 186.38/27.08 % (4047484)Instructions burned: 14156 (million)
% 186.38/27.08 % (4047508)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=1876162047:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2875 on theBenchmark for (2875ds/2479Mi)
% 186.38/27.08 % (4047508)Refutation not found, incomplete strategy
% 186.38/27.08 % (4047508)------------------------------
% 186.38/27.08 % (4047508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 186.38/27.08 % (4047508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 186.38/27.08 % (4047508)CaDiCaL version: 2.1.3
% 186.38/27.08 % (4047508)Termination reason: Refutation not found, incomplete strategy
% 186.38/27.08 % (4047508)Time elapsed: 0.003 s
% 186.38/27.08 % (4047508)Peak memory usage: 89 MB
% 186.38/27.08 % (4047508)Instructions burned: 3 (million)
% 186.38/27.08 % (4047508)------------------------------
% 186.38/27.08 % (4047508)------------------------------
% 186.38/27.08 % (4047510)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=3602399005:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2871 on theBenchmark for (2871ds/440Mi)
% 186.38/27.08 % (4047510)Instruction limit reached!
% 186.38/27.08 % (4047510)------------------------------
% 186.38/27.08 % (4047510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 186.38/27.08 % (4047510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 186.38/27.08 % (4047510)CaDiCaL version: 2.1.3
% 186.38/27.08 % (4047510)Termination reason: Instruction limit
% 186.38/27.08 % (4047510)Termination phase: Saturation
% 186.38/27.08 % (4047510)Time elapsed: 0.256 s
% 186.38/27.08 % (4047510)Peak memory usage: 94 MB
% 186.38/27.08 % (4047510)Instructions burned: 441 (million)
% 186.38/27.08 % (4047512)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=863652919:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2867 on theBenchmark for (2867ds/11145Mi)
% 186.38/27.08 % (4047494)Instruction limit reached!
% 186.38/27.08 % (4047494)------------------------------
% 186.38/27.08 % (4047494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 186.38/27.08 % (4047494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 186.38/27.08 % (4047494)CaDiCaL version: 2.1.3
% 186.38/27.08 % (4047494)Termination reason: Instruction limit
% 186.38/27.08 % (4047494)Termination phase: Saturation
% 186.38/27.08 % (4047494)Time elapsed: 8.559 s
% 186.38/27.08 % (4047494)Peak memory usage: 202 MB
% 186.38/27.08 % (4047494)Instructions burned: 12111 (million)
% 186.38/27.08 % (4047514)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=2048487375:cts=off:i=3034:av=off:er=known:fsd=on_2846 on theBenchmark for (2846ds/3034Mi)
% 186.38/27.08 % (4047514)Instruction limit reached!
% 186.38/27.08 % (4047514)------------------------------
% 186.38/27.08 % (4047514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 186.38/27.08 % (4047514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 186.38/27.08 % (4047514)CaDiCaL version: 2.1.3
% 186.38/27.08 % (4047514)Termination reason: Instruction limit
% 186.38/27.08 % (4047514)Termination phase: Saturation
% 186.38/27.08 % (4047514)Time elapsed: 1.900 s
% 186.38/27.08 % (4047514)Peak memory usage: 140 MB
% 186.38/27.08 % (4047514)Instructions burned: 3036 (million)
% 186.38/27.08 % (4047516)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=566148877:st=2:s2a=on:i=524:s2at=2:ss=axioms_2825 on theBenchmark for (2825ds/524Mi)
% 186.38/27.08 % (4047506)Instruction limit reached!
% 186.38/27.08 % (4047506)------------------------------
% 186.38/27.08 % (4047506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 186.38/27.08 % (4047506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 186.38/27.08 % (4047506)CaDiCaL version: 2.1.3
% 186.38/27.08 % (4047506)Termination reason: Instruction limit
% 186.38/27.08 % (4047506)Termination phase: Saturation
% 186.38/27.08 % (4047506)Time elapsed: 6.186 s
% 186.38/27.08 % (4047506)Peak memory usage: 204 MB
% 186.38/27.08 % (4047506)Instructions burned: 9925 (million)
% 210.26/30.44 % (4047516)Instruction limit reached!
% 210.26/30.44 % (4047516)------------------------------
% 210.26/30.44 % (4047516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 210.26/30.44 % (4047516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 210.26/30.44 % (4047516)CaDiCaL version: 2.1.3
% 210.26/30.44 % (4047516)Termination reason: Instruction limit
% 210.26/30.44 % (4047516)Termination phase: Saturation
% 210.26/30.44 % (4047516)Time elapsed: 0.270 s
% 210.26/30.44 % (4047516)Peak memory usage: 94 MB
% 210.26/30.44 % (4047516)Instructions burned: 526 (million)
% 210.26/30.44 % (4047518)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=2313094529:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2821 on theBenchmark for (2821ds/1016Mi)
% 210.26/30.44 % (4047519)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=2852144276:i=14123:bd=preordered:ins=4_2821 on theBenchmark for (2821ds/14123Mi)
% 210.26/30.44 % (4047518)Instruction limit reached!
% 210.26/30.44 % (4047518)------------------------------
% 210.26/30.44 % (4047518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 210.26/30.44 % (4047518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 210.26/30.44 % (4047518)CaDiCaL version: 2.1.3
% 210.26/30.44 % (4047518)Termination reason: Instruction limit
% 210.26/30.44 % (4047518)Termination phase: Saturation
% 210.26/30.44 % (4047518)Time elapsed: 0.555 s
% 210.26/30.44 % (4047518)Peak memory usage: 101 MB
% 210.26/30.44 % (4047518)Instructions burned: 1017 (million)
% 210.26/30.44 % (4047522)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=666033347:i=5781:kws=precedence:bd=all:rawr=on_2814 on theBenchmark for (2814ds/5781Mi)
% 210.26/30.44 % (4047504)Instruction limit reached!
% 210.26/30.44 % (4047504)------------------------------
% 210.26/30.44 % (4047504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 210.26/30.44 % (4047504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 210.26/30.44 % (4047504)CaDiCaL version: 2.1.3
% 210.26/30.44 % (4047504)Termination reason: Instruction limit
% 210.26/30.44 % (4047504)Termination phase: Saturation
% 210.26/30.44 % (4047504)Time elapsed: 8.159 s
% 210.26/30.44 % (4047504)Peak memory usage: 229 MB
% 210.26/30.44 % (4047504)Instructions burned: 13913 (million)
% 210.26/30.44 % (4047524)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=2629884756:i=2448:gtgl=5:bd=preordered:gtg=all_2807 on theBenchmark for (2807ds/2448Mi)
% 210.26/30.44 % (4047524)Instruction limit reached!
% 210.26/30.44 % (4047524)------------------------------
% 210.26/30.44 % (4047524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 210.26/30.44 % (4047524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 210.26/30.44 % (4047524)CaDiCaL version: 2.1.3
% 210.26/30.44 % (4047524)Termination reason: Instruction limit
% 210.26/30.44 % (4047524)Termination phase: Saturation
% 210.26/30.44 % (4047524)Time elapsed: 1.353 s
% 210.26/30.44 % (4047524)Peak memory usage: 144 MB
% 210.26/30.44 % (4047524)Instructions burned: 2449 (million)
% 210.26/30.44 % (4047512)Instruction limit reached!
% 210.26/30.44 % (4047512)------------------------------
% 210.26/30.44 % (4047512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 210.26/30.44 % (4047512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 210.26/30.44 % (4047512)CaDiCaL version: 2.1.3
% 210.26/30.44 % (4047512)Termination reason: Instruction limit
% 210.26/30.44 % (4047512)Termination phase: Saturation
% 210.26/30.44 % (4047512)Time elapsed: 7.480 s
% 210.26/30.44 % (4047512)Peak memory usage: 199 MB
% 210.26/30.44 % (4047512)Instructions burned: 11146 (million)
% 210.26/30.44 % (4047526)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=2977769598:i=3223:kws=precedence:fgj=on:av=off_2791 on theBenchmark for (2791ds/3223Mi)
% 210.26/30.44 % (4047527)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=949917982:st=5.6:i=2033:sd=3:ss=axioms_2790 on theBenchmark for (2790ds/2033Mi)
% 210.26/30.44 % (4047522)Instruction limit reached!
% 210.26/30.44 % (4047522)------------------------------
% 210.26/30.44 % (4047522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 210.26/30.44 % (4047522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 210.26/30.44 % (4047522)CaDiCaL version: 2.1.3
% 210.26/30.44 % (4047522)Termination reason: Instruction limit
% 109.95/32.92 % (4047522)Termination phase: Saturation
% 109.95/32.92 % (4047522)Time elapsed: 3.410 s
% 109.95/32.92 % (4047522)Peak memory usage: 127 MB
% 109.95/32.92 % (4047522)Instructions burned: 5781 (million)
% 109.95/32.92 % (4047530)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=187933182:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2778 on theBenchmark for (2778ds/2055Mi)
% 109.95/32.92 % (4047527)Instruction limit reached!
% 109.95/32.92 % (4047527)------------------------------
% 109.95/32.92 % (4047527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.95/32.92 % (4047527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.95/32.92 % (4047527)CaDiCaL version: 2.1.3
% 109.95/32.92 % (4047527)Termination reason: Instruction limit
% 109.95/32.92 % (4047527)Termination phase: Saturation
% 109.95/32.92 % (4047527)Time elapsed: 1.250 s
% 109.95/32.92 % (4047527)Peak memory usage: 137 MB
% 109.95/32.92 % (4047527)Instructions burned: 2035 (million)
% 109.95/32.92 % (4047532)dis+1010_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=1381631092:i=21611:sd=3:ss=axioms_2776 on theBenchmark for (2776ds/21611Mi)
% 109.95/32.92 % (4047526)Instruction limit reached!
% 109.95/32.92 % (4047526)------------------------------
% 109.95/32.92 % (4047526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.95/32.92 % (4047526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.95/32.92 % (4047526)CaDiCaL version: 2.1.3
% 109.95/32.92 % (4047526)Termination reason: Instruction limit
% 109.95/32.92 % (4047526)Termination phase: Saturation
% 109.95/32.92 % (4047526)Time elapsed: 2.092 s
% 109.95/32.92 % (4047526)Peak memory usage: 146 MB
% 109.95/32.92 % (4047526)Instructions burned: 3223 (million)
% 109.95/32.92 % (4047534)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=2941120422:i=4835:sd=13:ss=axioms:sgt=23_2769 on theBenchmark for (2769ds/4835Mi)
% 109.95/32.92 % (4047530)Instruction limit reached!
% 109.95/32.92 % (4047530)------------------------------
% 109.95/32.92 % (4047530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.95/32.92 % (4047530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.95/32.92 % (4047530)CaDiCaL version: 2.1.3
% 109.95/32.92 % (4047530)Termination reason: Instruction limit
% 109.95/32.92 % (4047530)Termination phase: Saturation
% 109.95/32.92 % (4047530)Time elapsed: 1.321 s
% 109.95/32.92 % (4047530)Peak memory usage: 137 MB
% 109.95/32.92 % (4047530)Instructions burned: 2056 (million)
% 109.95/32.92 % (4047536)lrs+10_1_to=lpo:sil=32000:plsq=on:plsqc=1:bsd=on:plsqr=64,1:sp=reverse_frequency:bsr=unit_only:plsql=on:fd=off:slsqc=4:newcnf=on:slsq=on:random_seed=675938479:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2763 on theBenchmark for (2763ds/797Mi)
% 109.95/32.92 % (4047536)Instruction limit reached!
% 109.95/32.92 % (4047536)------------------------------
% 109.95/32.92 % (4047536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.95/32.92 % (4047536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.95/32.92 % (4047536)CaDiCaL version: 2.1.3
% 109.95/32.92 % (4047536)Termination reason: Instruction limit
% 109.95/32.92 % (4047536)Termination phase: Saturation
% 109.95/32.92 % (4047536)Time elapsed: 0.514 s
% 109.95/32.92 % (4047536)Peak memory usage: 99 MB
% 109.95/32.92 % (4047536)Instructions burned: 797 (million)
% 109.95/32.92 % (4047538)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=902238353:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2756 on theBenchmark for (2756ds/2326Mi)
% 109.95/32.92 % (4047538)Refutation not found, incomplete strategy
% 109.95/32.92 % (4047538)------------------------------
% 109.95/32.92 % (4047538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.95/32.92 % (4047538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.95/32.92 % (4047538)CaDiCaL version: 2.1.3
% 109.95/32.92 % (4047538)Termination reason: Refutation not found, incomplete strategy
% 109.95/32.92 % (4047538)Time elapsed: 0.004 s
% 109.95/32.92 % (4047538)Peak memory usage: 89 MB
% 109.95/32.92 % (4047538)Instructions burned: 5 (million)
% 109.95/32.92 % (4047538)------------------------------
% 109.95/32.92 % (4047538)------------------------------
% 109.95/32.92 % (4047540)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=763507353:i=6038:nm=6_2752 on theBenchmark for (2752ds/6038Mi)
% 109.95/32.92 % (4047534)Instruction limit reached!
% 109.95/32.92 % (4047534)------------------------------
% 109.95/32.92 % (4047534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.95/32.92 % (4047534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.95/32.92 % (4047534)CaDiCaL version: 2.1.3
% 109.95/32.92 % (4047534)Termination reason: Instruction limit
% 109.95/32.92 % (4047534)Termination phase: Saturation
% 109.95/32.92 % (4047534)Time elapsed: 3.003 s
% 109.95/32.92 % (4047534)Peak memory usage: 128 MB
% 109.95/32.92 % (4047534)Instructions burned: 4835 (million)
% 109.95/32.92 % (4047542)lrs+10_1_sil=32000:sp=occurrence:random_seed=195382727:st=2:i=33334:sd=3:ss=included:sgt=32_2737 on theBenchmark for (2737ds/33334Mi)
% 109.95/32.92 % (4047519)Instruction limit reached!
% 109.95/32.92 % (4047519)------------------------------
% 109.95/32.92 % (4047519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.95/32.92 % (4047519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.95/32.92 % (4047519)CaDiCaL version: 2.1.3
% 109.95/32.92 % (4047519)Termination reason: Instruction limit
% 109.95/32.92 % (4047519)Termination phase: Saturation
% 109.95/32.92 % (4047519)Time elapsed: 8.473 s
% 109.95/32.92 % (4047519)Peak memory usage: 220 MB
% 109.95/32.92 % (4047519)Instructions burned: 14124 (million)
% 109.95/32.92 % (4047544)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=523473573:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2734 on theBenchmark for (2734ds/1008Mi)
% 109.95/32.92 % (4047544)Instruction limit reached!
% 109.95/32.92 % (4047544)------------------------------
% 109.95/32.92 % (4047544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.95/32.92 % (4047544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.95/32.92 % (4047544)CaDiCaL version: 2.1.3
% 109.95/32.92 % (4047544)Termination reason: Instruction limit
% 109.95/32.92 % (4047544)Termination phase: Saturation
% 109.95/32.92 % (4047544)Time elapsed: 0.480 s
% 109.95/32.92 % (4047544)Peak memory usage: 96 MB
% 109.95/32.92 % (4047544)Instructions burned: 1010 (million)
% 109.95/32.92 % (4047546)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=128000:tgt=ground:npcc=on:fde=none:sp=const_frequency:spb=intro:gs=on:random_seed=1140661912:i=8327:s2at=5:bd=preordered_2728 on theBenchmark for (2728ds/8327Mi)
% 109.95/32.92 % (4047540)Instruction limit reached!
% 109.95/32.92 % (4047540)------------------------------
% 109.95/32.92 % (4047540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.95/32.92 % (4047540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.95/32.92 % (4047540)CaDiCaL version: 2.1.3
% 109.95/32.92 % (4047540)Termination reason: Instruction limit
% 109.95/32.92 % (4047540)Termination phase: Saturation
% 109.95/32.92 % (4047540)Time elapsed: 3.244 s
% 109.95/32.92 % (4047540)Peak memory usage: 182 MB
% 109.95/32.92 % (4047540)Instructions burned: 6040 (million)
% 109.95/32.92 % (4047548)lrs+1002_1_slsqr=3,2:sil=8000:tgt=full:plsq=on:fde=unused:plsqc=1:plsqr=3,2:sp=reverse_arity:spb=intro:urr=on:plsql=on:s2agt=16:br=off:slsqc=2:slsq=on:random_seed=1577963801:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2718 on theBenchmark for (2718ds/1083Mi)
% 109.95/32.92 % (4047548)Instruction limit reached!
% 109.95/32.92 % (4047548)------------------------------
% 109.95/32.92 % (4047548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.95/32.92 % (4047548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.95/32.92 % (4047548)CaDiCaL version: 2.1.3
% 109.95/32.92 % (4047548)Termination reason: Instruction limit
% 109.95/32.92 % (4047548)Termination phase: Saturation
% 109.95/32.92 % (4047548)Time elapsed: 0.517 s
% 109.95/32.92 % (4047548)Peak memory usage: 101 MB
% 109.95/32.92 % (4047548)Instructions burned: 1084 (million)
% 109.95/32.92 % (4047550)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=2545835794:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2711 on theBenchmark for (2711ds/1084Mi)
% 109.95/32.92 % (4047550)Instruction limit reached!
% 109.95/32.92 % (4047550)------------------------------
% 109.95/32.92 % (4047550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.95/32.92 % (4047550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.95/32.92 % (4047550)CaDiCaL version: 2.1.3
% 109.95/32.92 % (4047550)Termination reason: Instruction limit
% 109.95/32.92 % (4047550)Termination phase: Saturation
% 109.95/32.92 % (4047550)Time elapsed: 0.585 s
% 109.95/32.92 % (4047550)Peak memory usage: 99 MB
% 109.95/32.92 % (4047550)Instructions burned: 1085 (million)
% 109.95/32.92 % (4047552)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:erd=off:spb=goal:sac=on:newcnf=on:random_seed=786160665:i=6995:s2at=5:gtg=all_2703 on theBenchmark for (2703ds/6995Mi)
% 109.95/32.92 % (4047552)First to succeed.
% 109.95/32.92 % (4047552)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4047423"
% 109.95/32.92 % (4047552)Refutation found. Thanks to Tanya!
% 109.95/32.92 % SZS status Theorem for theBenchmark
% 109.95/32.92 % SZS output start Proof for theBenchmark
% See solution above
% 228.08/33.12 % (4047552)------------------------------
% 228.08/33.12 % (4047552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 228.08/33.12 % (4047552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 228.08/33.12 % (4047552)CaDiCaL version: 2.1.3
% 228.08/33.12 % (4047552)Termination reason: Refutation
% 228.08/33.12 % (4047552)Time elapsed: 1.987 s
% 228.08/33.12 % (4047552)Peak memory usage: 147 MB
% 228.08/33.12 % (4047552)Instructions burned: 3109 (million)
% 228.08/33.12 % (4047552)------------------------------
% 228.08/33.12 % (4047552)------------------------------
% 228.08/33.12 % (4047423)Success in time 32.094 s
% 228.08/33.12 % Vampire exiting
%------------------------------------------------------------------------------