%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU440+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 12:49:05 PM UTC 2026
% Result : Theorem 115.75s 31.13s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 31
% Syntax : Number of formulae : 229 ( 38 unt; 14 def)
% Number of atoms : 538 ( 87 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 562 ( 253 ~; 260 |; 13 &)
% ( 15 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 21 ( 19 usr; 15 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 5 con; 0-5 aty)
% Number of variables : 197 ( 0 sgn 192 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f758,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> k4_relat_1(k5_relat_1(X0,X1)) = k5_relat_1(k4_relat_1(X1),k4_relat_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_relat_1) ).
fof(f869,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> k2_relat_1(k5_relat_1(X0,X1)) = k9_relat_1(X1,k2_relat_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t160_relat_1) ).
fof(f879,axiom,
! [X0] :
( v1_relat_1(X0)
=> k10_relat_1(X0,k2_relat_1(X0)) = k1_relat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t169_relat_1) ).
fof(f880,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> r1_tarski(k10_relat_1(X1,X0),k10_relat_1(X1,k2_relat_1(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t170_relat_1) ).
fof(f892,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> k1_relat_1(k5_relat_1(X0,X1)) = k10_relat_1(X0,k1_relat_1(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t182_relat_1) ).
fof(f1422,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f1481,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(f1483,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(f1498,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(f1500,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_relset_1) ).
fof(f1508,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/sandbox2/benchmark/theBenchmark.p',redefinition_k10_relset_1) ).
fof(f6128,axiom,
! [X0] :
( v1_relat_1(X0)
=> ( k1_funct_5(X0) = k1_relat_1(X0)
& k2_funct_5(X0) = k2_relat_1(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_funct_5) ).
fof(f41487,axiom,
! [X0] : u1_struct_0(k3_yellow_1(X0)) = k1_zfmisc_1(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_waybel_7) ).
fof(f71077,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
=> m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_relset_2) ).
fof(f71078,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
=> k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k9_relset_2) ).
fof(f71133,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X1,X0)
=> ( k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0)
& k2_funct_5(X2) = k10_relset_1(X1,X0,X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_relset_2) ).
fof(f71134,conjecture,
! [X0,X1,X2,X3] :
( m2_relset_1(X3,X0,X1)
=> ! [X4] :
( m2_relset_1(X4,X1,X2)
=> ( k1_funct_5(k9_relset_2(X0,X1,X2,X3,X4)) = k10_relset_1(X1,X0,k6_relset_1(X0,X1,X3),k1_funct_5(X4))
& r1_tarski(k1_funct_5(k9_relset_2(X0,X1,X2,X3,X4)),k1_funct_5(X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t52_relset_2) ).
fof(f71135,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( m2_relset_1(X3,X0,X1)
=> ! [X4] :
( m2_relset_1(X4,X1,X2)
=> ( k1_funct_5(k9_relset_2(X0,X1,X2,X3,X4)) = k10_relset_1(X1,X0,k6_relset_1(X0,X1,X3),k1_funct_5(X4))
& r1_tarski(k1_funct_5(k9_relset_2(X0,X1,X2,X3,X4)),k1_funct_5(X3)) ) ) ),
inference(negated_conjecture,[status(cth)],[f71134]) ).
fof(f71351,plain,
? [X0,X1,X2,X3] :
( ? [X4] :
( ( k1_funct_5(k9_relset_2(X0,X1,X2,X3,X4)) != k10_relset_1(X1,X0,k6_relset_1(X0,X1,X3),k1_funct_5(X4))
| ~ r1_tarski(k1_funct_5(k9_relset_2(X0,X1,X2,X3,X4)),k1_funct_5(X3)) )
& m2_relset_1(X4,X1,X2) )
& m2_relset_1(X3,X0,X1) ),
inference(ennf_transformation,[],[f71135]) ).
fof(f71381,plain,
! [X0,X1,X2] :
( ( k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0)
& k2_funct_5(X2) = k10_relset_1(X1,X0,X2,X1) )
| ~ m2_relset_1(X2,X1,X0) ),
inference(ennf_transformation,[],[f71133]) ).
fof(f71385,plain,
! [X0,X1,X2] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1500]) ).
fof(f71387,plain,
! [X0,X1,X2] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1498]) ).
fof(f71395,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,[],[f1508]) ).
fof(f71404,plain,
! [X0,X1,X2,X3,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(ennf_transformation,[],[f71078]) ).
fof(f71405,plain,
! [X0,X1,X2,X3,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(flattening,[],[f71404]) ).
fof(f71406,plain,
! [X0,X1,X2,X3,X4] :
( m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(ennf_transformation,[],[f71077]) ).
fof(f71407,plain,
! [X0,X1,X2,X3,X4] :
( m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(flattening,[],[f71406]) ).
fof(f71445,plain,
! [X0] :
( ( k1_funct_5(X0) = k1_relat_1(X0)
& k2_funct_5(X0) = k2_relat_1(X0) )
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f6128]) ).
fof(f71683,plain,
! [X0] :
( ! [X1] :
( k4_relat_1(k5_relat_1(X0,X1)) = k5_relat_1(k4_relat_1(X1),k4_relat_1(X0))
| ~ v1_relat_1(X1) )
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f758]) ).
fof(f72225,plain,
! [X0] :
( ! [X1] :
( k2_relat_1(k5_relat_1(X0,X1)) = k9_relat_1(X1,k2_relat_1(X0))
| ~ v1_relat_1(X1) )
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f869]) ).
fof(f72404,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,[],[f1481]) ).
fof(f72405,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f1422]) ).
fof(f73670,plain,
! [X0] :
( ! [X1] :
( k1_relat_1(k5_relat_1(X0,X1)) = k10_relat_1(X0,k1_relat_1(X1))
| ~ v1_relat_1(X1) )
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f892]) ).
fof(f73685,plain,
! [X0,X1] :
( r1_tarski(k10_relat_1(X1,X0),k10_relat_1(X1,k2_relat_1(X1)))
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f880]) ).
fof(f73686,plain,
! [X0] :
( k10_relat_1(X0,k2_relat_1(X0)) = k1_relat_1(X0)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f879]) ).
fof(f81415,plain,
( ( k1_funct_5(k9_relset_2(sK221,sK222,sK223,sK224,sK225)) != k10_relset_1(sK222,sK221,k6_relset_1(sK221,sK222,sK224),k1_funct_5(sK225))
| ~ r1_tarski(k1_funct_5(k9_relset_2(sK221,sK222,sK223,sK224,sK225)),k1_funct_5(sK224)) )
& m2_relset_1(sK225,sK222,sK223)
& m2_relset_1(sK224,sK221,sK222) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK221,sK222,sK223,sK224,sK225]),skolemize(X0,sK221),skolemize(X1,sK222),skolemize(X2,sK223),skolemize(X3,sK224),skolemize(X4,sK225)],[f71351]) ).
fof(f81541,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,[],[f1483]) ).
fof(f84295,plain,
m2_relset_1(sK224,sK221,sK222),
inference(cnf_transformation,[],[f81415]) ).
fof(f84296,plain,
m2_relset_1(sK225,sK222,sK223),
inference(cnf_transformation,[],[f81415]) ).
fof(f84297,plain,
( k1_funct_5(k9_relset_2(sK221,sK222,sK223,sK224,sK225)) != k10_relset_1(sK222,sK221,k6_relset_1(sK221,sK222,sK224),k1_funct_5(sK225))
| ~ r1_tarski(k1_funct_5(k9_relset_2(sK221,sK222,sK223,sK224,sK225)),k1_funct_5(sK224)) ),
inference(cnf_transformation,[],[f81415]) ).
fof(f84336,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X1,X0)
| k10_relset_1(X1,X0,X2,X1) = k2_funct_5(X2) ),
inference(cnf_transformation,[],[f71381]) ).
fof(f84337,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X1,X0)
| k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) ),
inference(cnf_transformation,[],[f71381]) ).
fof(f84340,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
inference(cnf_transformation,[],[f71385]) ).
fof(f84342,plain,
! [X2,X0,X1] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f71387]) ).
fof(f84360,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
inference(cnf_transformation,[],[f71395]) ).
fof(f84374,plain,
! [X2,X3,X0,X1,X4] :
( k5_relat_1(X3,X4) = k9_relset_2(X0,X1,X2,X3,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(cnf_transformation,[],[f71405]) ).
fof(f84375,plain,
! [X2,X3,X0,X1,X4] :
( m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(cnf_transformation,[],[f71407]) ).
fof(f84455,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k2_relat_1(X0) = k2_funct_5(X0) ),
inference(cnf_transformation,[],[f71445]) ).
fof(f84456,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_relat_1(X0) = k1_funct_5(X0) ),
inference(cnf_transformation,[],[f71445]) ).
fof(f84818,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k4_relat_1(k5_relat_1(X0,X1)) = k5_relat_1(k4_relat_1(X1),k4_relat_1(X0))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f71683]) ).
fof(f84857,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f81541]) ).
fof(f85680,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k2_relat_1(k5_relat_1(X0,X1)) = k9_relat_1(X1,k2_relat_1(X0))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f72225]) ).
fof(f85981,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,[],[f72404]) ).
fof(f85982,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f72405]) ).
fof(f87959,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k1_relat_1(k5_relat_1(X0,X1)) = k10_relat_1(X0,k1_relat_1(X1))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f73670]) ).
fof(f87972,plain,
! [X0,X1] :
( r1_tarski(k10_relat_1(X1,X0),k10_relat_1(X1,k2_relat_1(X1)))
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f73685]) ).
fof(f87973,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_relat_1(X0) = k10_relat_1(X0,k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f73686]) ).
fof(f95898,plain,
! [X0] : k1_zfmisc_1(X0) = u1_struct_0(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f41487]) ).
fof(f98234,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X4,u1_struct_0(k3_yellow_1(k2_zfmisc_1(X1,X2))))
| ~ m1_subset_1(X3,u1_struct_0(k3_yellow_1(k2_zfmisc_1(X0,X1))))
| k5_relat_1(X3,X4) = k9_relset_2(X0,X1,X2,X3,X4) ),
inference(definition_unfolding,[],[f84374,f95898,f95898]) ).
fof(f98235,plain,
! [X2,X3,X0,X1,X4] :
( m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_subset_1(X3,u1_struct_0(k3_yellow_1(k2_zfmisc_1(X0,X1))))
| ~ m1_subset_1(X4,u1_struct_0(k3_yellow_1(k2_zfmisc_1(X1,X2)))) ),
inference(definition_unfolding,[],[f84375,f95898,f95898]) ).
fof(f98886,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,u1_struct_0(k3_yellow_1(k2_zfmisc_1(X0,X1))))
| ~ m2_relset_1(X2,X0,X1) ),
inference(definition_unfolding,[],[f85981,f95898]) ).
fof(f98887,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(k2_zfmisc_1(X0,X1))))
| v1_relat_1(X2) ),
inference(definition_unfolding,[],[f85982,f95898]) ).
fof(f105210,definition,
( spl2087_77
<=> r1_tarski(k1_funct_5(k9_relset_2(sK221,sK222,sK223,sK224,sK225)),k1_funct_5(sK224)) ),
introduced(definition,[new_symbols(definition,[spl2087_77])],[avatar_definition]) ).
fof(f105212,plain,
( ~ r1_tarski(k1_funct_5(k9_relset_2(sK221,sK222,sK223,sK224,sK225)),k1_funct_5(sK224))
| spl2087_77 ),
inference(avatar_component_clause,[],[f105210]) ).
fof(f105214,definition,
( spl2087_78
<=> k1_funct_5(k9_relset_2(sK221,sK222,sK223,sK224,sK225)) = k10_relset_1(sK222,sK221,k6_relset_1(sK221,sK222,sK224),k1_funct_5(sK225)) ),
introduced(definition,[new_symbols(definition,[spl2087_78])],[avatar_definition]) ).
fof(f105216,plain,
( k1_funct_5(k9_relset_2(sK221,sK222,sK223,sK224,sK225)) != k10_relset_1(sK222,sK221,k6_relset_1(sK221,sK222,sK224),k1_funct_5(sK225))
| spl2087_78 ),
inference(avatar_component_clause,[],[f105214]) ).
fof(f105217,plain,
( ~ spl2087_77
| ~ spl2087_78 ),
inference(avatar_split_clause,[],[f84297,f105214,f105210]) ).
fof(f106688,plain,
k1_funct_5(sK225) = k10_relset_1(sK223,sK222,k6_relset_1(sK222,sK223,sK225),sK223),
inference(resolution,[],[f84337,f84296]) ).
fof(f106693,plain,
m1_relset_1(sK224,sK221,sK222),
inference(resolution,[],[f84857,f84295]) ).
fof(f106694,plain,
m1_relset_1(sK225,sK222,sK223),
inference(resolution,[],[f84857,f84296]) ).
fof(f106697,plain,
k6_relset_1(sK221,sK222,sK224) = k4_relat_1(sK224),
inference(resolution,[],[f106693,f84340]) ).
fof(f106701,plain,
( m2_relset_1(k4_relat_1(sK224),sK222,sK221)
| ~ m1_relset_1(sK224,sK221,sK222) ),
inference(superposition,[],[f84342,f106697]) ).
fof(f106702,plain,
m2_relset_1(k4_relat_1(sK224),sK222,sK221),
inference(forward_subsumption_resolution,[],[f106701,f106693]) ).
fof(f106703,plain,
m1_relset_1(k4_relat_1(sK224),sK222,sK221),
inference(resolution,[],[f106702,f84857]) ).
fof(f106717,plain,
k6_relset_1(sK222,sK223,sK225) = k4_relat_1(sK225),
inference(resolution,[],[f106694,f84340]) ).
fof(f106720,plain,
k1_funct_5(sK225) = k10_relset_1(sK223,sK222,k4_relat_1(sK225),sK223),
inference(superposition,[],[f106688,f106717]) ).
fof(f106721,plain,
( m2_relset_1(k4_relat_1(sK225),sK223,sK222)
| ~ m1_relset_1(sK225,sK222,sK223) ),
inference(superposition,[],[f84342,f106717]) ).
fof(f106722,plain,
m2_relset_1(k4_relat_1(sK225),sK223,sK222),
inference(forward_subsumption_resolution,[],[f106721,f106694]) ).
fof(f106756,plain,
k10_relset_1(sK223,sK222,k4_relat_1(sK225),sK223) = k2_funct_5(k4_relat_1(sK225)),
inference(resolution,[],[f84336,f106722]) ).
fof(f106757,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X1,X0)
| k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) = k2_funct_5(k6_relset_1(X1,X0,X2)) ),
inference(resolution,[],[f84336,f84342]) ).
fof(f106761,plain,
k1_funct_5(sK225) = k2_funct_5(k4_relat_1(sK225)),
inference(forward_demodulation,[],[f106756,f106720]) ).
fof(f106765,plain,
! [X0] : k10_relset_1(sK222,sK221,k4_relat_1(sK224),X0) = k9_relat_1(k4_relat_1(sK224),X0),
inference(resolution,[],[f84360,f106703]) ).
fof(f106828,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X3,u1_struct_0(k3_yellow_1(k2_zfmisc_1(X4,X1))))
| ~ m2_relset_1(X0,X1,X2)
| k5_relat_1(X3,X0) = k9_relset_2(X4,X1,X2,X3,X0) ),
inference(resolution,[],[f98886,f98234]) ).
fof(f106839,definition,
( spl2087_94
<=> v1_relat_1(k4_relat_1(sK225)) ),
introduced(definition,[new_symbols(definition,[spl2087_94])],[avatar_definition]) ).
fof(f106840,plain,
( v1_relat_1(k4_relat_1(sK225))
| ~ spl2087_94 ),
inference(avatar_component_clause,[],[f106839]) ).
fof(f106841,plain,
( ~ v1_relat_1(k4_relat_1(sK225))
| spl2087_94 ),
inference(avatar_component_clause,[],[f106839]) ).
fof(f106847,definition,
( spl2087_96
<=> v1_relat_1(k4_relat_1(sK224)) ),
introduced(definition,[new_symbols(definition,[spl2087_96])],[avatar_definition]) ).
fof(f106848,plain,
( v1_relat_1(k4_relat_1(sK224))
| ~ spl2087_96 ),
inference(avatar_component_clause,[],[f106847]) ).
fof(f106849,plain,
( ~ v1_relat_1(k4_relat_1(sK224))
| spl2087_96 ),
inference(avatar_component_clause,[],[f106847]) ).
fof(f106855,definition,
( spl2087_98
<=> v1_relat_1(sK225) ),
introduced(definition,[new_symbols(definition,[spl2087_98])],[avatar_definition]) ).
fof(f106856,plain,
( v1_relat_1(sK225)
| ~ spl2087_98 ),
inference(avatar_component_clause,[],[f106855]) ).
fof(f106857,plain,
( ~ v1_relat_1(sK225)
| spl2087_98 ),
inference(avatar_component_clause,[],[f106855]) ).
fof(f106863,definition,
( spl2087_100
<=> v1_relat_1(sK224) ),
introduced(definition,[new_symbols(definition,[spl2087_100])],[avatar_definition]) ).
fof(f106864,plain,
( v1_relat_1(sK224)
| ~ spl2087_100 ),
inference(avatar_component_clause,[],[f106863]) ).
fof(f106865,plain,
( ~ v1_relat_1(sK224)
| spl2087_100 ),
inference(avatar_component_clause,[],[f106863]) ).
fof(f106890,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,X4,X1)
| k5_relat_1(X3,X0) = k9_relset_2(X4,X1,X2,X3,X0)
| ~ m2_relset_1(X0,X1,X2) ),
inference(resolution,[],[f106828,f98886]) ).
fof(f106938,plain,
! [X0,X1] :
( ~ m2_relset_1(X0,sK222,X1)
| k5_relat_1(k4_relat_1(sK225),X0) = k9_relset_2(sK223,sK222,X1,k4_relat_1(sK225),X0) ),
inference(resolution,[],[f106890,f106722]) ).
fof(f106942,plain,
! [X0,X1] :
( ~ m2_relset_1(X0,sK222,X1)
| k5_relat_1(sK224,X0) = k9_relset_2(sK221,sK222,X1,sK224,X0) ),
inference(resolution,[],[f106890,f84295]) ).
fof(f106947,plain,
k9_relset_2(sK221,sK222,sK223,sK224,sK225) = k5_relat_1(sK224,sK225),
inference(resolution,[],[f106942,f84296]) ).
fof(f106949,plain,
( ~ r1_tarski(k1_funct_5(k5_relat_1(sK224,sK225)),k1_funct_5(sK224))
| spl2087_77 ),
inference(superposition,[],[f105212,f106947]) ).
fof(f106950,plain,
( m2_relset_1(k5_relat_1(sK224,sK225),sK221,sK223)
| ~ m1_subset_1(sK224,u1_struct_0(k3_yellow_1(k2_zfmisc_1(sK221,sK222))))
| ~ m1_subset_1(sK225,u1_struct_0(k3_yellow_1(k2_zfmisc_1(sK222,sK223)))) ),
inference(superposition,[],[f98235,f106947]) ).
fof(f106952,definition,
( spl2087_110
<=> m1_subset_1(sK225,u1_struct_0(k3_yellow_1(k2_zfmisc_1(sK222,sK223)))) ),
introduced(definition,[new_symbols(definition,[spl2087_110])],[avatar_definition]) ).
fof(f106953,plain,
( m1_subset_1(sK225,u1_struct_0(k3_yellow_1(k2_zfmisc_1(sK222,sK223))))
| ~ spl2087_110 ),
inference(avatar_component_clause,[],[f106952]) ).
fof(f106954,plain,
( ~ m1_subset_1(sK225,u1_struct_0(k3_yellow_1(k2_zfmisc_1(sK222,sK223))))
| spl2087_110 ),
inference(avatar_component_clause,[],[f106952]) ).
fof(f106956,definition,
( spl2087_111
<=> m1_subset_1(sK224,u1_struct_0(k3_yellow_1(k2_zfmisc_1(sK221,sK222)))) ),
introduced(definition,[new_symbols(definition,[spl2087_111])],[avatar_definition]) ).
fof(f106957,plain,
( m1_subset_1(sK224,u1_struct_0(k3_yellow_1(k2_zfmisc_1(sK221,sK222))))
| ~ spl2087_111 ),
inference(avatar_component_clause,[],[f106956]) ).
fof(f106958,plain,
( ~ m1_subset_1(sK224,u1_struct_0(k3_yellow_1(k2_zfmisc_1(sK221,sK222))))
| spl2087_111 ),
inference(avatar_component_clause,[],[f106956]) ).
fof(f106960,definition,
( spl2087_112
<=> m2_relset_1(k5_relat_1(sK224,sK225),sK221,sK223) ),
introduced(definition,[new_symbols(definition,[spl2087_112])],[avatar_definition]) ).
fof(f106962,plain,
( m2_relset_1(k5_relat_1(sK224,sK225),sK221,sK223)
| ~ spl2087_112 ),
inference(avatar_component_clause,[],[f106960]) ).
fof(f106963,plain,
( ~ spl2087_110
| ~ spl2087_111
| spl2087_112 ),
inference(avatar_split_clause,[],[f106950,f106960,f106956,f106952]) ).
fof(f106974,definition,
( spl2087_113
<=> m1_subset_1(k4_relat_1(sK224),u1_struct_0(k3_yellow_1(k2_zfmisc_1(sK222,sK221)))) ),
introduced(definition,[new_symbols(definition,[spl2087_113])],[avatar_definition]) ).
fof(f106975,plain,
( m1_subset_1(k4_relat_1(sK224),u1_struct_0(k3_yellow_1(k2_zfmisc_1(sK222,sK221))))
| ~ spl2087_113 ),
inference(avatar_component_clause,[],[f106974]) ).
fof(f106976,plain,
( ~ m1_subset_1(k4_relat_1(sK224),u1_struct_0(k3_yellow_1(k2_zfmisc_1(sK222,sK221))))
| spl2087_113 ),
inference(avatar_component_clause,[],[f106974]) ).
fof(f106982,plain,
k5_relat_1(k4_relat_1(sK225),k4_relat_1(sK224)) = k9_relset_2(sK223,sK222,sK221,k4_relat_1(sK225),k4_relat_1(sK224)),
inference(resolution,[],[f106938,f106702]) ).
fof(f107182,plain,
( ~ m2_relset_1(sK224,sK221,sK222)
| spl2087_111 ),
inference(resolution,[],[f106958,f98886]) ).
fof(f107183,plain,
( $false
| spl2087_111 ),
inference(forward_subsumption_resolution,[],[f107182,f84295]) ).
fof(f107184,plain,
spl2087_111,
inference(avatar_contradiction_clause,[],[f107183]) ).
fof(f107192,plain,
( ~ m2_relset_1(k4_relat_1(sK224),sK222,sK221)
| spl2087_113 ),
inference(resolution,[],[f106976,f98886]) ).
fof(f107193,plain,
( $false
| spl2087_113 ),
inference(forward_subsumption_resolution,[],[f107192,f106702]) ).
fof(f107194,plain,
spl2087_113,
inference(avatar_contradiction_clause,[],[f107193]) ).
fof(f107345,plain,
( ~ m2_relset_1(sK225,sK222,sK223)
| spl2087_110 ),
inference(resolution,[],[f106954,f98886]) ).
fof(f107347,plain,
( $false
| spl2087_110 ),
inference(forward_subsumption_resolution,[],[f107345,f84296]) ).
fof(f107348,plain,
spl2087_110,
inference(avatar_contradiction_clause,[],[f107347]) ).
fof(f107352,definition,
( spl2087_139
<=> m1_subset_1(k4_relat_1(sK225),u1_struct_0(k3_yellow_1(k2_zfmisc_1(sK223,sK222)))) ),
introduced(definition,[new_symbols(definition,[spl2087_139])],[avatar_definition]) ).
fof(f107353,plain,
( m1_subset_1(k4_relat_1(sK225),u1_struct_0(k3_yellow_1(k2_zfmisc_1(sK223,sK222))))
| ~ spl2087_139 ),
inference(avatar_component_clause,[],[f107352]) ).
fof(f107354,plain,
( ~ m1_subset_1(k4_relat_1(sK225),u1_struct_0(k3_yellow_1(k2_zfmisc_1(sK223,sK222))))
| spl2087_139 ),
inference(avatar_component_clause,[],[f107352]) ).
fof(f107368,plain,
( m1_relset_1(k5_relat_1(sK224,sK225),sK221,sK223)
| ~ spl2087_112 ),
inference(resolution,[],[f106962,f84857]) ).
fof(f107369,plain,
( k1_funct_5(k5_relat_1(sK224,sK225)) = k10_relset_1(sK223,sK221,k6_relset_1(sK221,sK223,k5_relat_1(sK224,sK225)),sK223)
| ~ spl2087_112 ),
inference(resolution,[],[f106962,f84337]) ).
fof(f107378,plain,
( k6_relset_1(sK221,sK223,k5_relat_1(sK224,sK225)) = k4_relat_1(k5_relat_1(sK224,sK225))
| ~ spl2087_112 ),
inference(resolution,[],[f107368,f84340]) ).
fof(f107383,plain,
( k10_relset_1(sK223,sK221,k6_relset_1(sK221,sK223,k5_relat_1(sK224,sK225)),sK223) = k2_funct_5(k6_relset_1(sK221,sK223,k5_relat_1(sK224,sK225)))
| ~ spl2087_112 ),
inference(resolution,[],[f107368,f106757]) ).
fof(f107385,plain,
( k1_funct_5(k5_relat_1(sK224,sK225)) = k2_funct_5(k6_relset_1(sK221,sK223,k5_relat_1(sK224,sK225)))
| ~ spl2087_112 ),
inference(forward_demodulation,[],[f107383,f107369]) ).
fof(f107386,plain,
( k1_funct_5(k5_relat_1(sK224,sK225)) = k2_funct_5(k4_relat_1(k5_relat_1(sK224,sK225)))
| ~ spl2087_112 ),
inference(forward_demodulation,[],[f107385,f107378]) ).
fof(f107404,plain,
( ~ m2_relset_1(k4_relat_1(sK225),sK223,sK222)
| spl2087_139 ),
inference(resolution,[],[f107354,f98886]) ).
fof(f107406,plain,
( $false
| spl2087_139 ),
inference(forward_subsumption_resolution,[],[f107404,f106722]) ).
fof(f107407,plain,
spl2087_139,
inference(avatar_contradiction_clause,[],[f107406]) ).
fof(f107481,definition,
( spl2087_148
<=> v1_relat_1(k5_relat_1(sK224,sK225)) ),
introduced(definition,[new_symbols(definition,[spl2087_148])],[avatar_definition]) ).
fof(f107482,plain,
( v1_relat_1(k5_relat_1(sK224,sK225))
| ~ spl2087_148 ),
inference(avatar_component_clause,[],[f107481]) ).
fof(f107483,plain,
( ~ v1_relat_1(k5_relat_1(sK224,sK225))
| spl2087_148 ),
inference(avatar_component_clause,[],[f107481]) ).
fof(f107568,definition,
( spl2087_157
<=> m1_subset_1(k5_relat_1(sK224,sK225),u1_struct_0(k3_yellow_1(k2_zfmisc_1(sK221,sK223)))) ),
introduced(definition,[new_symbols(definition,[spl2087_157])],[avatar_definition]) ).
fof(f107569,plain,
( m1_subset_1(k5_relat_1(sK224,sK225),u1_struct_0(k3_yellow_1(k2_zfmisc_1(sK221,sK223))))
| ~ spl2087_157 ),
inference(avatar_component_clause,[],[f107568]) ).
fof(f107570,plain,
( ~ m1_subset_1(k5_relat_1(sK224,sK225),u1_struct_0(k3_yellow_1(k2_zfmisc_1(sK221,sK223))))
| spl2087_157 ),
inference(avatar_component_clause,[],[f107568]) ).
fof(f107576,plain,
( ~ m2_relset_1(k5_relat_1(sK224,sK225),sK221,sK223)
| spl2087_157 ),
inference(resolution,[],[f107570,f98886]) ).
fof(f107578,plain,
( $false
| ~ spl2087_112
| spl2087_157 ),
inference(forward_subsumption_resolution,[],[f107576,f106962]) ).
fof(f107579,plain,
( ~ spl2087_112
| spl2087_157 ),
inference(avatar_contradiction_clause,[],[f107578]) ).
fof(f107820,plain,
( m2_relset_1(k5_relat_1(k4_relat_1(sK225),k4_relat_1(sK224)),sK223,sK221)
| ~ m1_subset_1(k4_relat_1(sK225),u1_struct_0(k3_yellow_1(k2_zfmisc_1(sK223,sK222))))
| ~ m1_subset_1(k4_relat_1(sK224),u1_struct_0(k3_yellow_1(k2_zfmisc_1(sK222,sK221)))) ),
inference(superposition,[],[f98235,f106982]) ).
fof(f107821,plain,
( m2_relset_1(k5_relat_1(k4_relat_1(sK225),k4_relat_1(sK224)),sK223,sK221)
| ~ m1_subset_1(k4_relat_1(sK224),u1_struct_0(k3_yellow_1(k2_zfmisc_1(sK222,sK221))))
| ~ spl2087_139 ),
inference(forward_subsumption_resolution,[],[f107820,f107353]) ).
fof(f107822,plain,
( m2_relset_1(k5_relat_1(k4_relat_1(sK225),k4_relat_1(sK224)),sK223,sK221)
| ~ spl2087_113
| ~ spl2087_139 ),
inference(forward_subsumption_resolution,[],[f107821,f106975]) ).
fof(f108737,definition,
( spl2087_261
<=> v1_relat_1(k5_relat_1(k4_relat_1(sK225),k4_relat_1(sK224))) ),
introduced(definition,[new_symbols(definition,[spl2087_261])],[avatar_definition]) ).
fof(f108738,plain,
( v1_relat_1(k5_relat_1(k4_relat_1(sK225),k4_relat_1(sK224)))
| ~ spl2087_261 ),
inference(avatar_component_clause,[],[f108737]) ).
fof(f108739,plain,
( ~ v1_relat_1(k5_relat_1(k4_relat_1(sK225),k4_relat_1(sK224)))
| spl2087_261 ),
inference(avatar_component_clause,[],[f108737]) ).
fof(f108890,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f98887,f98886]) ).
fof(f108893,plain,
( v1_relat_1(k5_relat_1(sK224,sK225))
| ~ spl2087_157 ),
inference(resolution,[],[f98887,f107569]) ).
fof(f108894,plain,
( v1_relat_1(k4_relat_1(sK224))
| ~ spl2087_113 ),
inference(resolution,[],[f98887,f106975]) ).
fof(f108895,plain,
( v1_relat_1(k4_relat_1(sK225))
| ~ spl2087_139 ),
inference(resolution,[],[f98887,f107353]) ).
fof(f108898,plain,
( v1_relat_1(sK224)
| ~ spl2087_111 ),
inference(resolution,[],[f98887,f106957]) ).
fof(f108899,plain,
( v1_relat_1(sK225)
| ~ spl2087_110 ),
inference(resolution,[],[f98887,f106953]) ).
fof(f108901,plain,
( $false
| spl2087_98
| ~ spl2087_110 ),
inference(forward_subsumption_resolution,[],[f108899,f106857]) ).
fof(f108902,plain,
( spl2087_98
| ~ spl2087_110 ),
inference(avatar_contradiction_clause,[],[f108901]) ).
fof(f108903,plain,
( $false
| spl2087_100
| ~ spl2087_111 ),
inference(forward_subsumption_resolution,[],[f108898,f106865]) ).
fof(f108904,plain,
( spl2087_100
| ~ spl2087_111 ),
inference(avatar_contradiction_clause,[],[f108903]) ).
fof(f108907,plain,
( $false
| spl2087_94
| ~ spl2087_139 ),
inference(forward_subsumption_resolution,[],[f108895,f106841]) ).
fof(f108908,plain,
( spl2087_94
| ~ spl2087_139 ),
inference(avatar_contradiction_clause,[],[f108907]) ).
fof(f108909,plain,
( $false
| spl2087_96
| ~ spl2087_113 ),
inference(forward_subsumption_resolution,[],[f108894,f106849]) ).
fof(f108910,plain,
( spl2087_96
| ~ spl2087_113 ),
inference(avatar_contradiction_clause,[],[f108909]) ).
fof(f108911,plain,
( $false
| spl2087_148
| ~ spl2087_157 ),
inference(forward_subsumption_resolution,[],[f108893,f107483]) ).
fof(f108912,plain,
( spl2087_148
| ~ spl2087_157 ),
inference(avatar_contradiction_clause,[],[f108911]) ).
fof(f108948,plain,
( k1_funct_5(sK225) = k1_relat_1(sK225)
| ~ spl2087_98 ),
inference(resolution,[],[f106856,f84456]) ).
fof(f108950,plain,
( k1_relat_1(sK224) = k10_relat_1(sK224,k2_relat_1(sK224))
| ~ spl2087_100 ),
inference(resolution,[],[f106864,f87973]) ).
fof(f108954,plain,
( k1_funct_5(sK224) = k1_relat_1(sK224)
| ~ spl2087_100 ),
inference(resolution,[],[f106864,f84456]) ).
fof(f109005,plain,
( ~ r1_tarski(k1_funct_5(k5_relat_1(sK224,sK225)),k1_relat_1(sK224))
| spl2087_77
| ~ spl2087_100 ),
inference(superposition,[],[f106949,f108954]) ).
fof(f109089,plain,
( ! [X0] :
( ~ v1_relat_1(X0)
| k2_relat_1(k5_relat_1(X0,k4_relat_1(sK224))) = k9_relat_1(k4_relat_1(sK224),k2_relat_1(X0)) )
| ~ spl2087_96 ),
inference(resolution,[],[f106848,f85680]) ).
fof(f109146,plain,
( k2_funct_5(k4_relat_1(sK225)) = k2_relat_1(k4_relat_1(sK225))
| ~ spl2087_94 ),
inference(resolution,[],[f106840,f84455]) ).
fof(f109149,plain,
( k1_funct_5(sK225) = k2_relat_1(k4_relat_1(sK225))
| ~ spl2087_94 ),
inference(forward_demodulation,[],[f109146,f106761]) ).
fof(f109150,plain,
( k2_relat_1(k4_relat_1(sK225)) = k1_relat_1(sK225)
| ~ spl2087_94
| ~ spl2087_98 ),
inference(forward_demodulation,[],[f109149,f108948]) ).
fof(f109156,plain,
( k1_funct_5(k5_relat_1(sK224,sK225)) = k1_relat_1(k5_relat_1(sK224,sK225))
| ~ spl2087_148 ),
inference(resolution,[],[f107482,f84456]) ).
fof(f109157,plain,
( ~ r1_tarski(k1_relat_1(k5_relat_1(sK224,sK225)),k1_relat_1(sK224))
| spl2087_77
| ~ spl2087_100
| ~ spl2087_148 ),
inference(superposition,[],[f109005,f109156]) ).
fof(f109188,plain,
( v1_relat_1(k5_relat_1(k4_relat_1(sK225),k4_relat_1(sK224)))
| ~ spl2087_113
| ~ spl2087_139 ),
inference(resolution,[],[f108890,f107822]) ).
fof(f109198,plain,
( $false
| ~ spl2087_113
| ~ spl2087_139
| spl2087_261 ),
inference(forward_subsumption_resolution,[],[f109188,f108739]) ).
fof(f109199,plain,
( ~ spl2087_113
| ~ spl2087_139
| spl2087_261 ),
inference(avatar_contradiction_clause,[],[f109198]) ).
fof(f110230,plain,
( k2_relat_1(k5_relat_1(k4_relat_1(sK225),k4_relat_1(sK224))) = k9_relat_1(k4_relat_1(sK224),k2_relat_1(k4_relat_1(sK225)))
| ~ spl2087_94
| ~ spl2087_96 ),
inference(resolution,[],[f109089,f106840]) ).
fof(f110236,plain,
( k2_relat_1(k5_relat_1(k4_relat_1(sK225),k4_relat_1(sK224))) = k9_relat_1(k4_relat_1(sK224),k1_relat_1(sK225))
| ~ spl2087_94
| ~ spl2087_96
| ~ spl2087_98 ),
inference(forward_demodulation,[],[f110230,f109150]) ).
fof(f111757,plain,
( k2_funct_5(k5_relat_1(k4_relat_1(sK225),k4_relat_1(sK224))) = k2_relat_1(k5_relat_1(k4_relat_1(sK225),k4_relat_1(sK224)))
| ~ spl2087_261 ),
inference(resolution,[],[f108738,f84455]) ).
fof(f111784,plain,
( k2_funct_5(k5_relat_1(k4_relat_1(sK225),k4_relat_1(sK224))) = k9_relat_1(k4_relat_1(sK224),k1_relat_1(sK225))
| ~ spl2087_94
| ~ spl2087_96
| ~ spl2087_98
| ~ spl2087_261 ),
inference(forward_demodulation,[],[f111757,f110236]) ).
fof(f111998,plain,
( ! [X0] :
( ~ v1_relat_1(X0)
| k1_relat_1(k5_relat_1(X0,sK225)) = k10_relat_1(X0,k1_relat_1(sK225)) )
| ~ spl2087_98 ),
inference(resolution,[],[f87959,f106856]) ).
fof(f112032,plain,
( k1_relat_1(k5_relat_1(sK224,sK225)) = k10_relat_1(sK224,k1_relat_1(sK225))
| ~ spl2087_98
| ~ spl2087_100 ),
inference(resolution,[],[f111998,f106864]) ).
fof(f116421,plain,
( r1_tarski(k1_relat_1(k5_relat_1(sK224,sK225)),k10_relat_1(sK224,k2_relat_1(sK224)))
| ~ v1_relat_1(sK224)
| ~ spl2087_98
| ~ spl2087_100 ),
inference(superposition,[],[f87972,f112032]) ).
fof(f116484,plain,
( r1_tarski(k1_relat_1(k5_relat_1(sK224,sK225)),k10_relat_1(sK224,k2_relat_1(sK224)))
| ~ spl2087_98
| ~ spl2087_100 ),
inference(forward_subsumption_resolution,[],[f116421,f106864]) ).
fof(f116508,plain,
( r1_tarski(k1_relat_1(k5_relat_1(sK224,sK225)),k1_relat_1(sK224))
| ~ spl2087_98
| ~ spl2087_100 ),
inference(forward_demodulation,[],[f116484,f108950]) ).
fof(f116526,plain,
( $false
| spl2087_77
| ~ spl2087_98
| ~ spl2087_100
| ~ spl2087_148 ),
inference(forward_subsumption_resolution,[],[f116508,f109157]) ).
fof(f116527,plain,
( spl2087_77
| ~ spl2087_98
| ~ spl2087_100
| ~ spl2087_148 ),
inference(avatar_contradiction_clause,[],[f116526]) ).
fof(f116551,plain,
( k1_funct_5(k9_relset_2(sK221,sK222,sK223,sK224,sK225)) != k10_relset_1(sK222,sK221,k6_relset_1(sK221,sK222,sK224),k1_relat_1(sK225))
| spl2087_78
| ~ spl2087_98 ),
inference(forward_demodulation,[],[f105216,f108948]) ).
fof(f116565,plain,
( k1_funct_5(k9_relset_2(sK221,sK222,sK223,sK224,sK225)) != k10_relset_1(sK222,sK221,k4_relat_1(sK224),k1_relat_1(sK225))
| spl2087_78
| ~ spl2087_98 ),
inference(forward_demodulation,[],[f116551,f106697]) ).
fof(f116567,plain,
( k1_funct_5(k9_relset_2(sK221,sK222,sK223,sK224,sK225)) != k9_relat_1(k4_relat_1(sK224),k1_relat_1(sK225))
| spl2087_78
| ~ spl2087_98 ),
inference(forward_demodulation,[],[f116565,f106765]) ).
fof(f116568,plain,
( k1_funct_5(k5_relat_1(sK224,sK225)) != k9_relat_1(k4_relat_1(sK224),k1_relat_1(sK225))
| spl2087_78
| ~ spl2087_98 ),
inference(forward_demodulation,[],[f116567,f106947]) ).
fof(f116569,plain,
( k1_relat_1(k5_relat_1(sK224,sK225)) != k9_relat_1(k4_relat_1(sK224),k1_relat_1(sK225))
| spl2087_78
| ~ spl2087_98
| ~ spl2087_148 ),
inference(forward_demodulation,[],[f116568,f109156]) ).
fof(f133054,plain,
( ! [X0] :
( ~ v1_relat_1(X0)
| k4_relat_1(k5_relat_1(X0,sK225)) = k5_relat_1(k4_relat_1(sK225),k4_relat_1(X0)) )
| ~ spl2087_98 ),
inference(resolution,[],[f84818,f106856]) ).
fof(f133166,plain,
( k5_relat_1(k4_relat_1(sK225),k4_relat_1(sK224)) = k4_relat_1(k5_relat_1(sK224,sK225))
| ~ spl2087_98
| ~ spl2087_100 ),
inference(resolution,[],[f133054,f106864]) ).
fof(f133214,plain,
( k2_funct_5(k4_relat_1(k5_relat_1(sK224,sK225))) = k9_relat_1(k4_relat_1(sK224),k1_relat_1(sK225))
| ~ spl2087_94
| ~ spl2087_96
| ~ spl2087_98
| ~ spl2087_100
| ~ spl2087_261 ),
inference(superposition,[],[f111784,f133166]) ).
fof(f133335,plain,
( k1_funct_5(k5_relat_1(sK224,sK225)) = k9_relat_1(k4_relat_1(sK224),k1_relat_1(sK225))
| ~ spl2087_94
| ~ spl2087_96
| ~ spl2087_98
| ~ spl2087_100
| ~ spl2087_112
| ~ spl2087_261 ),
inference(forward_demodulation,[],[f133214,f107386]) ).
fof(f133361,plain,
( k1_relat_1(k5_relat_1(sK224,sK225)) = k9_relat_1(k4_relat_1(sK224),k1_relat_1(sK225))
| ~ spl2087_94
| ~ spl2087_96
| ~ spl2087_98
| ~ spl2087_100
| ~ spl2087_112
| ~ spl2087_148
| ~ spl2087_261 ),
inference(forward_demodulation,[],[f133335,f109156]) ).
fof(f133375,plain,
( $false
| spl2087_78
| ~ spl2087_94
| ~ spl2087_96
| ~ spl2087_98
| ~ spl2087_100
| ~ spl2087_112
| ~ spl2087_148
| ~ spl2087_261 ),
inference(forward_subsumption_resolution,[],[f133361,f116569]) ).
fof(f133376,plain,
( spl2087_78
| ~ spl2087_94
| ~ spl2087_96
| ~ spl2087_98
| ~ spl2087_100
| ~ spl2087_112
| ~ spl2087_148
| ~ spl2087_261 ),
inference(avatar_contradiction_clause,[],[f133375]) ).
cnf(s58,plain,
( ~ spl2087_77
| ~ spl2087_78 ),
inference(sat_conversion,[],[f105217]) ).
cnf(s84,plain,
( ~ spl2087_110
| ~ spl2087_111
| spl2087_112 ),
inference(sat_conversion,[],[f106963]) ).
cnf(s95,plain,
spl2087_111,
inference(sat_conversion,[],[f107184]) ).
cnf(s96,plain,
spl2087_113,
inference(sat_conversion,[],[f107194]) ).
cnf(s104,plain,
spl2087_110,
inference(sat_conversion,[],[f107348]) ).
cnf(s108,plain,
spl2087_139,
inference(sat_conversion,[],[f107407]) ).
cnf(s119,plain,
( ~ spl2087_112
| spl2087_157 ),
inference(sat_conversion,[],[f107579]) ).
cnf(s189,plain,
( spl2087_98
| ~ spl2087_110 ),
inference(sat_conversion,[],[f108902]) ).
cnf(s190,plain,
( spl2087_100
| ~ spl2087_111 ),
inference(sat_conversion,[],[f108904]) ).
cnf(s192,plain,
( spl2087_94
| ~ spl2087_139 ),
inference(sat_conversion,[],[f108908]) ).
cnf(s193,plain,
( spl2087_96
| ~ spl2087_113 ),
inference(sat_conversion,[],[f108910]) ).
cnf(s194,plain,
( spl2087_148
| ~ spl2087_157 ),
inference(sat_conversion,[],[f108912]) ).
cnf(s203,plain,
( ~ spl2087_113
| ~ spl2087_139
| spl2087_261 ),
inference(sat_conversion,[],[f109199]) ).
cnf(s481,plain,
( spl2087_77
| ~ spl2087_98
| ~ spl2087_100
| ~ spl2087_148 ),
inference(sat_conversion,[],[f116527]) ).
cnf(s1169,plain,
( spl2087_78
| ~ spl2087_94
| ~ spl2087_96
| ~ spl2087_98
| ~ spl2087_100
| ~ spl2087_112
| ~ spl2087_148
| ~ spl2087_261 ),
inference(sat_conversion,[],[f133376]) ).
cnf(s1179,plain,
spl2087_94,
inference(rat,[],[s192,s108]) ).
cnf(s1182,plain,
spl2087_98,
inference(rat,[],[s189,s104]) ).
cnf(s1208,plain,
spl2087_261,
inference(rat,[],[s203,s108,s96]) ).
cnf(s1209,plain,
spl2087_96,
inference(rat,[],[s193,s96]) ).
cnf(s1220,plain,
spl2087_100,
inference(rat,[],[s190,s95]) ).
cnf(s1253,plain,
spl2087_112,
inference(rat,[],[s84,s95,s104]) ).
cnf(s1255,plain,
spl2087_157,
inference(rat,[],[s119,s1253]) ).
cnf(s1260,plain,
spl2087_148,
inference(rat,[],[s194,s1255]) ).
cnf(s1268,plain,
spl2087_77,
inference(rat,[],[s481,s1220,s1182,s1260]) ).
cnf(s1269,plain,
spl2087_78,
inference(rat,[],[s1169,s1208,s1253,s1220,s1209,s1182,s1179,s1260]) ).
cnf(s1288,plain,
$false,
inference(rat,[],[s58,s1269,s1268]) ).
fof(f133377,plain,
$false,
inference(avatar_sat_refutation,[],[s1288]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU440+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.42 % Computer : n009.cluster.edu
% 0.19/0.42 % Model : x86_64 x86_64
% 0.19/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.42 % Memory : 8046.5625MB
% 0.19/0.42 % OS : Linux 6.8.0-71-generic
% 0.19/0.43 % CPULimit : 300
% 0.19/0.43 % WCLimit : 300
% 0.19/0.43 % DateTime : Mon Sep 28 05:31:28 UTC 2026
% 0.19/0.43 % CPUTime :
% 0.19/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.48 Running first-order theorem proving
% 0.24/0.48 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.06/11.49 % (2717383)Detected formulas, will run a generic FOF schedule.
% 32.06/11.49 % (2717390)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=1066544845:i=141193_2931 on theBenchmark for (2931ds/141193Mi)
% 32.06/11.49 % (2717391)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=2443834161:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2931 on theBenchmark for (2931ds/134677Mi)
% 32.06/11.49 % (2717392)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=2097360042:i=141695:sd=1:nm=32:gsp=on:ss=included_2931 on theBenchmark for (2931ds/141695Mi)
% 32.06/11.49 % (2717396)dis-21_1_sil=8000:lcm=predicate:random_seed=1319007151:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2931 on theBenchmark for (2931ds/129Mi)
% 32.06/11.49 % (2717394)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=718618350:i=119:av=off:ss=axioms_2931 on theBenchmark for (2931ds/119Mi)
% 32.06/11.49 % (2717393)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1941610245:i=109:sd=1:ins=1:gsp=on:ss=axioms_2931 on theBenchmark for (2931ds/109Mi)
% 32.06/11.49 % (2717395)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=790733148:s2a=on:i=139:gtg=position_2931 on theBenchmark for (2931ds/139Mi)
% 32.06/11.49 % (2717393)Instruction limit reached!
% 32.06/11.49 % (2717393)------------------------------
% 32.06/11.49 % (2717393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.06/11.49 % (2717393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.06/11.49 % (2717393)CaDiCaL version: 2.1.3
% 32.06/11.49 % (2717393)Termination reason: Instruction limit
% 32.06/11.49 % (2717393)Termination phase: SInE selection
% 32.06/11.49 % (2717393)Time elapsed: 0.125 s
% 32.06/11.49 % (2717393)Peak memory usage: 201 MB
% 32.06/11.49 % (2717393)Instructions burned: 109 (million)
% 32.06/11.49 % (2717394)Instruction limit reached!
% 32.06/11.49 % (2717394)------------------------------
% 32.06/11.49 % (2717394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.06/11.49 % (2717394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.06/11.49 % (2717394)CaDiCaL version: 2.1.3
% 32.06/11.49 % (2717394)Termination reason: Instruction limit
% 32.06/11.49 % (2717394)Termination phase: SInE selection
% 32.06/11.49 % (2717394)Time elapsed: 0.136 s
% 32.06/11.49 % (2717394)Peak memory usage: 200 MB
% 32.06/11.49 % (2717394)Instructions burned: 119 (million)
% 32.06/11.49 % (2717396)Instruction limit reached!
% 32.06/11.49 % (2717396)------------------------------
% 32.06/11.49 % (2717396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.06/11.49 % (2717396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.06/11.49 % (2717396)CaDiCaL version: 2.1.3
% 32.06/11.49 % (2717396)Termination reason: Instruction limit
% 32.06/11.49 % (2717396)Termination phase: SInE selection
% 32.06/11.49 % (2717396)Time elapsed: 0.147 s
% 32.06/11.49 % (2717396)Peak memory usage: 201 MB
% 32.06/11.49 % (2717396)Instructions burned: 129 (million)
% 32.06/11.49 % (2717395)Instruction limit reached!
% 32.06/11.49 % (2717395)------------------------------
% 32.06/11.49 % (2717395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.06/11.49 % (2717395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.06/11.49 % (2717395)CaDiCaL version: 2.1.3
% 32.06/11.49 % (2717395)Termination reason: Instruction limit
% 32.06/11.49 % (2717395)Termination phase: Property scanning
% 32.06/11.49 % (2717395)Time elapsed: 0.116 s
% 32.06/11.49 % (2717395)Peak memory usage: 201 MB
% 32.06/11.49 % (2717395)Instructions burned: 140 (million)
% 32.06/11.49 % (2717405)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2182080772:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2927 on theBenchmark for (2927ds/157Mi)
% 32.06/11.49 % (2717404)lrs+10_1_sil=8000:sp=occurrence:random_seed=2838640565:i=285:sd=3:ss=axioms:sgt=8_2927 on theBenchmark for (2927ds/285Mi)
% 32.06/11.49 % (2717407)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=2540124669:s2a=on:i=248:s2at=1.23:gtg=position_2926 on theBenchmark for (2926ds/248Mi)
% 32.06/11.49 % (2717406)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3466075166:i=325:sd=1:ss=axioms:sgt=32_2927 on theBenchmark for (2927ds/325Mi)
% 32.06/11.49 % (2717405)Instruction limit reached!
% 43.80/13.09 % (2717405)------------------------------
% 43.80/13.09 % (2717405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.80/13.09 % (2717405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.80/13.09 % (2717405)CaDiCaL version: 2.1.3
% 43.80/13.09 % (2717405)Termination reason: Instruction limit
% 43.80/13.09 % (2717405)Termination phase: Property scanning
% 43.80/13.09 % (2717405)Time elapsed: 0.128 s
% 43.80/13.09 % (2717405)Peak memory usage: 201 MB
% 43.80/13.09 % (2717405)Instructions burned: 158 (million)
% 43.80/13.09 % (2717407)Instruction limit reached!
% 43.80/13.09 % (2717407)------------------------------
% 43.80/13.09 % (2717407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.80/13.09 % (2717407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.80/13.09 % (2717407)CaDiCaL version: 2.1.3
% 43.80/13.09 % (2717407)Termination reason: Instruction limit
% 43.80/13.09 % (2717407)Termination phase: Property scanning
% 43.80/13.09 % (2717407)Time elapsed: 0.211 s
% 43.80/13.09 % (2717407)Peak memory usage: 201 MB
% 43.80/13.09 % (2717407)Instructions burned: 248 (million)
% 43.80/13.09 % (2717404)Instruction limit reached!
% 43.80/13.09 % (2717404)------------------------------
% 43.80/13.09 % (2717404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.80/13.09 % (2717404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.80/13.09 % (2717404)CaDiCaL version: 2.1.3
% 43.80/13.09 % (2717404)Termination reason: Instruction limit
% 43.80/13.09 % (2717404)Termination phase: SInE selection
% 43.80/13.09 % (2717404)Time elapsed: 0.288 s
% 43.80/13.09 % (2717404)Peak memory usage: 201 MB
% 43.80/13.09 % (2717404)Instructions burned: 286 (million)
% 43.80/13.09 % (2717412)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3883732369:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2923 on theBenchmark for (2923ds/294Mi)
% 43.80/13.09 % (2717406)Instruction limit reached!
% 43.80/13.09 % (2717406)------------------------------
% 43.80/13.09 % (2717406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.80/13.09 % (2717406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.80/13.09 % (2717406)CaDiCaL version: 2.1.3
% 43.80/13.09 % (2717406)Termination reason: Instruction limit
% 43.80/13.09 % (2717406)Termination phase: SInE selection
% 43.80/13.09 % (2717406)Time elapsed: 0.385 s
% 43.80/13.09 % (2717406)Peak memory usage: 201 MB
% 43.80/13.09 % (2717406)Instructions burned: 325 (million)
% 43.80/13.09 % (2717413)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1273589157:i=2350_2921 on theBenchmark for (2921ds/2350Mi)
% 43.80/13.09 % (2717414)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=627481355:cts=off:i=113:fsr=off:ss=included:sgt=4_2921 on theBenchmark for (2921ds/113Mi)
% 43.80/13.09 % (2717416)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=853041403:i=127:av=off:fsr=off:sup=off_2920 on theBenchmark for (2920ds/127Mi)
% 43.80/13.09 % (2717412)Instruction limit reached!
% 43.80/13.09 % (2717412)------------------------------
% 43.80/13.09 % (2717412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.80/13.09 % (2717412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.80/13.09 % (2717412)CaDiCaL version: 2.1.3
% 43.80/13.09 % (2717412)Termination reason: Instruction limit
% 43.80/13.09 % (2717412)Termination phase: SInE selection
% 43.80/13.09 % (2717412)Time elapsed: 0.312 s
% 43.80/13.09 % (2717412)Peak memory usage: 201 MB
% 43.80/13.09 % (2717412)Instructions burned: 295 (million)
% 43.80/13.09 % (2717414)Instruction limit reached!
% 43.80/13.09 % (2717414)------------------------------
% 43.80/13.09 % (2717414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.80/13.09 % (2717414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.80/13.09 % (2717414)CaDiCaL version: 2.1.3
% 43.80/13.09 % (2717414)Termination reason: Instruction limit
% 43.80/13.09 % (2717414)Termination phase: SInE selection
% 43.80/13.09 % (2717414)Time elapsed: 0.137 s
% 43.80/13.09 % (2717414)Peak memory usage: 201 MB
% 43.80/13.09 % (2717414)Instructions burned: 113 (million)
% 43.80/13.09 % (2717416)Instruction limit reached!
% 43.80/13.09 % (2717416)------------------------------
% 43.80/13.09 % (2717416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.80/13.09 % (2717416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.80/13.09 % (2717416)CaDiCaL version: 2.1.3
% 96.06/20.46 % (2717416)Termination reason: Instruction limit
% 96.06/20.46 % (2717416)Termination phase: Preprocessing 1
% 96.06/20.46 % (2717416)Time elapsed: 0.156 s
% 96.06/20.46 % (2717416)Peak memory usage: 202 MB
% 96.06/20.46 % (2717416)Instructions burned: 127 (million)
% 96.06/20.46 % (2717421)lrs+10_1_sil=8000:sp=occurrence:random_seed=1421837874:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2916 on theBenchmark for (2916ds/907Mi)
% 96.06/20.46 % (2717420)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2759598031:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2917 on theBenchmark for (2917ds/114Mi)
% 96.06/20.46 % (2717420)Instruction limit reached!
% 96.06/20.46 % (2717420)------------------------------
% 96.06/20.46 % (2717420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.06/20.46 % (2717420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.06/20.46 % (2717420)CaDiCaL version: 2.1.3
% 96.06/20.46 % (2717420)Termination reason: Instruction limit
% 96.06/20.46 % (2717420)Termination phase: Property scanning
% 96.06/20.46 % (2717420)Time elapsed: 0.108 s
% 96.06/20.46 % (2717420)Peak memory usage: 201 MB
% 96.06/20.46 % (2717420)Instructions burned: 115 (million)
% 96.06/20.46 % (2717422)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=338068369:i=437:sd=1:aac=none:ss=included_2915 on theBenchmark for (2915ds/437Mi)
% 96.06/20.46 % (2717427)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1857723093:i=5202:ss=axioms:sgt=16_2913 on theBenchmark for (2913ds/5202Mi)
% 96.06/20.46 % (2717421)Instruction limit reached!
% 96.06/20.46 % (2717421)------------------------------
% 96.06/20.46 % (2717421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.06/20.46 % (2717421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.06/20.46 % (2717421)CaDiCaL version: 2.1.3
% 96.06/20.46 % (2717421)Termination reason: Instruction limit
% 96.06/20.46 % (2717421)Termination phase: Preprocessing 1
% 96.06/20.46 % (2717421)Time elapsed: 0.541 s
% 96.06/20.46 % (2717421)Peak memory usage: 204 MB
% 96.06/20.46 % (2717421)Instructions burned: 908 (million)
% 96.06/20.46 % (2717422)Instruction limit reached!
% 96.06/20.46 % (2717422)------------------------------
% 96.06/20.46 % (2717422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.06/20.46 % (2717422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.06/20.46 % (2717422)CaDiCaL version: 2.1.3
% 96.06/20.46 % (2717422)Termination reason: Instruction limit
% 96.06/20.46 % (2717422)Termination phase: SInE selection
% 96.06/20.46 % (2717422)Time elapsed: 0.511 s
% 96.06/20.46 % (2717422)Peak memory usage: 201 MB
% 96.06/20.46 % (2717422)Instructions burned: 437 (million)
% 96.06/20.46 % (2717430)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2093171075:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2909 on theBenchmark for (2909ds/134Mi)
% 96.06/20.46 % (2717430)Instruction limit reached!
% 96.06/20.46 % (2717430)------------------------------
% 96.06/20.46 % (2717430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.06/20.46 % (2717430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.06/20.46 % (2717430)CaDiCaL version: 2.1.3
% 96.06/20.46 % (2717430)Termination reason: Instruction limit
% 96.06/20.46 % (2717430)Termination phase: SInE selection
% 96.06/20.46 % (2717430)Time elapsed: 0.071 s
% 96.06/20.46 % (2717430)Peak memory usage: 201 MB
% 96.06/20.46 % (2717430)Instructions burned: 134 (million)
% 96.06/20.46 % (2717431)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1964518642:st=8:i=592:sd=3:ep=RST:ss=axioms_2907 on theBenchmark for (2907ds/592Mi)
% 96.06/20.46 % (2717433)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=844091280:st=3:i=13193:sd=3:ss=axioms_2906 on theBenchmark for (2906ds/13193Mi)
% 96.06/20.46 % (2717431)Instruction limit reached!
% 96.06/20.46 % (2717431)------------------------------
% 96.06/20.46 % (2717431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.06/20.46 % (2717431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.06/20.46 % (2717431)CaDiCaL version: 2.1.3
% 96.06/20.46 % (2717431)Termination reason: Instruction limit
% 96.06/20.46 % (2717431)Termination phase: SInE selection
% 96.06/20.46 % (2717431)Time elapsed: 0.611 s
% 96.06/20.46 % (2717431)Peak memory usage: 203 MB
% 96.06/20.46 % (2717431)Instructions burned: 592 (million)
% 96.06/20.46 % (2717436)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=3624606020:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2898 on theBenchmark for (2898ds/125Mi)
% 118.08/23.58 % (2717436)Instruction limit reached!
% 118.08/23.58 % (2717436)------------------------------
% 118.08/23.58 % (2717436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 118.08/23.58 % (2717436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.08/23.58 % (2717436)CaDiCaL version: 2.1.3
% 118.08/23.58 % (2717436)Termination reason: Instruction limit
% 118.08/23.58 % (2717436)Termination phase: Property scanning
% 118.08/23.58 % (2717436)Time elapsed: 0.115 s
% 118.08/23.58 % (2717436)Peak memory usage: 201 MB
% 118.08/23.58 % (2717436)Instructions burned: 125 (million)
% 118.08/23.58 % (2717438)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=938877897:i=134:gtgl=5:slsql=off:gtg=exists_sym_2894 on theBenchmark for (2894ds/134Mi)
% 118.08/23.58 % (2717413)Instruction limit reached!
% 118.08/23.58 % (2717413)------------------------------
% 118.08/23.58 % (2717413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 118.08/23.58 % (2717413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.08/23.58 % (2717413)CaDiCaL version: 2.1.3
% 118.08/23.58 % (2717413)Termination reason: Instruction limit
% 118.08/23.58 % (2717413)Termination phase: Preprocessing 3
% 118.08/23.58 % (2717413)Time elapsed: 2.768 s
% 118.08/23.58 % (2717413)Peak memory usage: 305 MB
% 118.08/23.58 % (2717413)Instructions burned: 2350 (million)
% 118.08/23.58 % (2717438)Instruction limit reached!
% 118.08/23.58 % (2717438)------------------------------
% 118.08/23.58 % (2717438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 118.08/23.58 % (2717438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.08/23.58 % (2717438)CaDiCaL version: 2.1.3
% 118.08/23.58 % (2717438)Termination reason: Instruction limit
% 118.08/23.58 % (2717438)Termination phase: Property scanning
% 118.08/23.58 % (2717438)Time elapsed: 0.123 s
% 118.08/23.58 % (2717438)Peak memory usage: 201 MB
% 118.08/23.58 % (2717438)Instructions burned: 135 (million)
% 118.08/23.58 % (2717441)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2556756477:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2889 on theBenchmark for (2889ds/431Mi)
% 118.08/23.58 % (2717440)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2608163740:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2890 on theBenchmark for (2890ds/141Mi)
% 118.08/23.58 % (2717440)Instruction limit reached!
% 118.08/23.58 % (2717440)------------------------------
% 118.08/23.58 % (2717440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 118.08/23.58 % (2717440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.08/23.58 % (2717440)CaDiCaL version: 2.1.3
% 118.08/23.58 % (2717440)Termination reason: Instruction limit
% 118.08/23.58 % (2717440)Termination phase: SInE selection
% 118.08/23.58 % (2717440)Time elapsed: 0.154 s
% 118.08/23.58 % (2717440)Peak memory usage: 201 MB
% 118.08/23.58 % (2717440)Instructions burned: 141 (million)
% 118.08/23.58 % (2717441)Instruction limit reached!
% 118.08/23.58 % (2717441)------------------------------
% 118.08/23.58 % (2717441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 118.08/23.58 % (2717441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.08/23.58 % (2717441)CaDiCaL version: 2.1.3
% 118.08/23.58 % (2717441)Termination reason: Instruction limit
% 118.08/23.58 % (2717441)Termination phase: SInE selection
% 118.08/23.58 % (2717441)Time elapsed: 0.428 s
% 118.08/23.58 % (2717441)Peak memory usage: 202 MB
% 118.08/23.58 % (2717441)Instructions burned: 431 (million)
% 118.08/23.58 % (2717444)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=3836331660:i=6060:aac=none:ins=25_2886 on theBenchmark for (2886ds/6060Mi)
% 118.08/23.58 % (2717448)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=474263358:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2883 on theBenchmark for (2883ds/150Mi)
% 118.08/23.58 % (2717448)Instruction limit reached!
% 118.08/23.58 % (2717448)------------------------------
% 118.08/23.58 % (2717448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 118.08/23.58 % (2717448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.08/23.58 % (2717448)CaDiCaL version: 2.1.3
% 118.08/23.58 % (2717448)Termination reason: Instruction limit
% 154.89/28.75 % (2717448)Termination phase: SInE selection
% 154.89/28.75 % (2717448)Time elapsed: 0.167 s
% 154.89/28.75 % (2717448)Peak memory usage: 201 MB
% 154.89/28.75 % (2717448)Instructions burned: 150 (million)
% 154.89/28.75 % (2717450)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=570580693:i=14155:bd=all_2879 on theBenchmark for (2879ds/14155Mi)
% 154.89/28.75 % (2717427)Instruction limit reached!
% 154.89/28.75 % (2717427)------------------------------
% 154.89/28.75 % (2717427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 154.89/28.75 % (2717427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 154.89/28.75 % (2717427)CaDiCaL version: 2.1.3
% 154.89/28.75 % (2717427)Termination reason: Instruction limit
% 154.89/28.75 % (2717427)Termination phase: Property scanning
% 154.89/28.75 % (2717427)Time elapsed: 5.366 s
% 154.89/28.75 % (2717427)Peak memory usage: 333 MB
% 154.89/28.75 % (2717427)Instructions burned: 5202 (million)
% 154.89/28.75 % (2717455)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=622577114:i=667:av=off:fsr=off_2855 on theBenchmark for (2855ds/667Mi)
% 154.89/28.75 % (2717455)Instruction limit reached!
% 154.89/28.75 % (2717455)------------------------------
% 154.89/28.75 % (2717455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 154.89/28.75 % (2717455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 154.89/28.75 % (2717455)CaDiCaL version: 2.1.3
% 154.89/28.75 % (2717455)Termination reason: Instruction limit
% 154.89/28.75 % (2717455)Termination phase: Preprocessing 2
% 154.89/28.75 % (2717455)Time elapsed: 0.598 s
% 154.89/28.75 % (2717455)Peak memory usage: 218 MB
% 154.89/28.75 % (2717455)Instructions burned: 668 (million)
% 154.89/28.75 % (2717541)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=2009018297:s2a=on:i=185:s2at=1.8:fdi=4_2846 on theBenchmark for (2846ds/185Mi)
% 154.89/28.75 % (2717541)Instruction limit reached!
% 154.89/28.75 % (2717541)------------------------------
% 154.89/28.75 % (2717541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 154.89/28.75 % (2717541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 154.89/28.75 % (2717541)CaDiCaL version: 2.1.3
% 154.89/28.75 % (2717541)Termination reason: Instruction limit
% 154.89/28.75 % (2717541)Termination phase: SInE selection
% 154.89/28.75 % (2717541)Time elapsed: 0.142 s
% 154.89/28.75 % (2717541)Peak memory usage: 201 MB
% 154.89/28.75 % (2717541)Instructions burned: 185 (million)
% 154.89/28.75 % (2717579)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=266083688:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2843 on theBenchmark for (2843ds/193Mi)
% 154.89/28.75 % (2717579)Instruction limit reached!
% 154.89/28.75 % (2717579)------------------------------
% 154.89/28.75 % (2717579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 154.89/28.75 % (2717579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 154.89/28.75 % (2717579)CaDiCaL version: 2.1.3
% 154.89/28.75 % (2717579)Termination reason: Instruction limit
% 154.89/28.75 % (2717579)Termination phase: SInE selection
% 154.89/28.75 % (2717579)Time elapsed: 0.153 s
% 154.89/28.75 % (2717579)Peak memory usage: 201 MB
% 154.89/28.75 % (2717579)Instructions burned: 193 (million)
% 154.89/28.75 % (2717614)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3028169360:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2840 on theBenchmark for (2840ds/4850Mi)
% 154.89/28.75 % (2717444)Instruction limit reached!
% 154.89/28.75 % (2717444)------------------------------
% 154.89/28.75 % (2717444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 154.89/28.75 % (2717444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 154.89/28.75 % (2717444)CaDiCaL version: 2.1.3
% 154.89/28.75 % (2717444)Termination reason: Instruction limit
% 154.89/28.75 % (2717444)Termination phase: NewCNF
% 154.89/28.75 % (2717444)Time elapsed: 5.654 s
% 154.89/28.75 % (2717444)Peak memory usage: 381 MB
% 154.89/28.75 % (2717444)Instructions burned: 6060 (million)
% 154.89/28.75 % (2717616)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1209448282:i=12111:sd=1:ss=included_2826 on theBenchmark for (2826ds/12111Mi)
% 154.89/28.75 % (2717614)Instruction limit reached!
% 154.89/28.75 % (2717614)------------------------------
% 154.89/28.75 % (2717614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 115.75/31.13 % (2717614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 115.75/31.13 % (2717614)CaDiCaL version: 2.1.3
% 115.75/31.13 % (2717614)Termination reason: Instruction limit
% 115.75/31.13 % (2717614)Termination phase: Property scanning
% 115.75/31.13 % (2717614)Time elapsed: 3.293 s
% 115.75/31.13 % (2717614)Peak memory usage: 362 MB
% 115.75/31.13 % (2717614)Instructions burned: 4853 (million)
% 115.75/31.13 % (2717433)Instruction limit reached!
% 115.75/31.13 % (2717433)------------------------------
% 115.75/31.13 % (2717433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 115.75/31.13 % (2717433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 115.75/31.13 % (2717433)CaDiCaL version: 2.1.3
% 115.75/31.13 % (2717433)Termination reason: Instruction limit
% 115.75/31.13 % (2717433)Termination phase: Saturation
% 115.75/31.13 % (2717433)Time elapsed: 9.926 s
% 115.75/31.13 % (2717433)Peak memory usage: 487 MB
% 115.75/31.13 % (2717433)Instructions burned: 13194 (million)
% 115.75/31.13 % (2717618)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3127099797:i=319:kws=precedence:fsr=off_2805 on theBenchmark for (2805ds/319Mi)
% 115.75/31.13 % (2717619)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2213008397:i=2064:ep=RST_2804 on theBenchmark for (2804ds/2064Mi)
% 115.75/31.13 % (2717618)Instruction limit reached!
% 115.75/31.13 % (2717618)------------------------------
% 115.75/31.13 % (2717618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 115.75/31.13 % (2717618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 115.75/31.13 % (2717618)CaDiCaL version: 2.1.3
% 115.75/31.13 % (2717618)Termination reason: Instruction limit
% 115.75/31.13 % (2717618)Termination phase: Preprocessing 1
% 115.75/31.13 % (2717618)Time elapsed: 0.234 s
% 115.75/31.13 % (2717618)Peak memory usage: 203 MB
% 115.75/31.13 % (2717618)Instructions burned: 319 (million)
% 115.75/31.13 % (2717450)Instruction limit reached!
% 115.75/31.13 % (2717450)------------------------------
% 115.75/31.13 % (2717450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 115.75/31.13 % (2717450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 115.75/31.13 % (2717450)CaDiCaL version: 2.1.3
% 115.75/31.13 % (2717450)Termination reason: Instruction limit
% 115.75/31.13 % (2717450)Termination phase: Property scanning
% 115.75/31.13 % (2717450)Time elapsed: 7.513 s
% 115.75/31.13 % (2717450)Peak memory usage: 447 MB
% 115.75/31.13 % (2717450)Instructions burned: 14155 (million)
% 115.75/31.13 % (2717622)dis-1011_128_sil=32000:random_seed=613033205:i=3706:ep=RST:av=off_2801 on theBenchmark for (2801ds/3706Mi)
% 115.75/31.13 % (2717623)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1663617586:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2800 on theBenchmark for (2800ds/757Mi)
% 115.75/31.13 % (2717623)Instruction limit reached!
% 115.75/31.13 % (2717623)------------------------------
% 115.75/31.13 % (2717623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 115.75/31.13 % (2717623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 115.75/31.13 % (2717623)CaDiCaL version: 2.1.3
% 115.75/31.13 % (2717623)Termination reason: Instruction limit
% 115.75/31.13 % (2717623)Termination phase: Saturation
% 115.75/31.13 % (2717623)Time elapsed: 0.578 s
% 115.75/31.13 % (2717623)Peak memory usage: 211 MB
% 115.75/31.13 % (2717623)Instructions burned: 757 (million)
% 115.75/31.13 % (2717626)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=4096672304:i=13913:ss=axioms:sgt=8_2793 on theBenchmark for (2793ds/13913Mi)
% 115.75/31.13 % (2717619)Instruction limit reached!
% 115.75/31.13 % (2717619)------------------------------
% 115.75/31.13 % (2717619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 115.75/31.13 % (2717619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 115.75/31.13 % (2717619)CaDiCaL version: 2.1.3
% 115.75/31.13 % (2717619)Termination reason: Instruction limit
% 115.75/31.13 % (2717619)Termination phase: Preprocessing 3
% 115.75/31.13 % (2717619)Time elapsed: 1.552 s
% 115.75/31.13 % (2717619)Peak memory usage: 317 MB
% 115.75/31.13 % (2717619)Instructions burned: 2064 (million)
% 115.75/31.13 % (2717628)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=1363122353:i=9925:aac=none_2786 on theBenchmark for (2786ds/9925Mi)
% 115.75/31.13 % (2717622)Instruction limit reached!
% 115.75/31.13 % (2717622)------------------------------
% 115.75/31.13 % (2717622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 115.75/31.13 % (2717622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 115.75/31.13 % (2717622)CaDiCaL version: 2.1.3
% 115.75/31.13 % (2717622)Termination reason: Instruction limit
% 115.75/31.13 % (2717622)Termination phase: Preprocessing 3
% 115.75/31.13 % (2717622)Time elapsed: 2.506 s
% 115.75/31.13 % (2717622)Peak memory usage: 378 MB
% 115.75/31.13 % (2717622)Instructions burned: 3707 (million)
% 115.75/31.13 % (2717630)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2702060096:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2774 on theBenchmark for (2774ds/2479Mi)
% 115.75/31.13 % (2717630)Instruction limit reached!
% 115.75/31.13 % (2717630)------------------------------
% 115.75/31.13 % (2717630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 115.75/31.13 % (2717630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 115.75/31.13 % (2717630)CaDiCaL version: 2.1.3
% 115.75/31.13 % (2717630)Termination reason: Instruction limit
% 115.75/31.13 % (2717630)Termination phase: Saturation
% 115.75/31.13 % (2717630)Time elapsed: 1.569 s
% 115.75/31.13 % (2717630)Peak memory usage: 217 MB
% 115.75/31.13 % (2717630)Instructions burned: 2481 (million)
% 115.75/31.13 % (2717632)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=4227851049:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2756 on theBenchmark for (2756ds/440Mi)
% 115.75/31.13 % (2717632)Instruction limit reached!
% 115.75/31.13 % (2717632)------------------------------
% 115.75/31.13 % (2717632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 115.75/31.13 % (2717632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 115.75/31.13 % (2717632)CaDiCaL version: 2.1.3
% 115.75/31.13 % (2717632)Termination reason: Instruction limit
% 115.75/31.13 % (2717632)Termination phase: Property scanning
% 115.75/31.13 % (2717632)Time elapsed: 0.190 s
% 115.75/31.13 % (2717632)Peak memory usage: 201 MB
% 115.75/31.13 % (2717632)Instructions burned: 440 (million)
% 115.75/31.13 % (2717634)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=905311705:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2753 on theBenchmark for (2753ds/11145Mi)
% 115.75/31.13 % (2717616)Instruction limit reached!
% 115.75/31.13 % (2717616)------------------------------
% 115.75/31.13 % (2717616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 115.75/31.13 % (2717616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 115.75/31.13 % (2717616)CaDiCaL version: 2.1.3
% 115.75/31.13 % (2717616)Termination reason: Instruction limit
% 115.75/31.13 % (2717616)Termination phase: Saturation
% 115.75/31.13 % (2717616)Time elapsed: 8.056 s
% 115.75/31.13 % (2717616)Peak memory usage: 350 MB
% 115.75/31.13 % (2717616)Instructions burned: 12112 (million)
% 115.75/31.13 % (2717636)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=586363128:cts=off:i=3034:av=off:er=known:fsd=on_2743 on theBenchmark for (2743ds/3034Mi)
% 115.75/31.13 % (2717628)Instruction limit reached!
% 115.75/31.13 % (2717628)------------------------------
% 115.75/31.13 % (2717628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 115.75/31.13 % (2717628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 115.75/31.13 % (2717628)CaDiCaL version: 2.1.3
% 115.75/31.13 % (2717628)Termination reason: Instruction limit
% 115.75/31.13 % (2717628)Termination phase: Property scanning
% 115.75/31.13 % (2717628)Time elapsed: 5.411 s
% 115.75/31.13 % (2717628)Peak memory usage: 447 MB
% 115.75/31.13 % (2717628)Instructions burned: 9926 (million)
% 115.75/31.13 % (2717638)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=1375981245:st=2:s2a=on:i=524:s2at=2:ss=axioms_2730 on theBenchmark for (2730ds/524Mi)
% 115.75/31.13 % (2717638)Instruction limit reached!
% 115.75/31.13 % (2717638)------------------------------
% 115.75/31.13 % (2717638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 115.75/31.13 % (2717638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 115.75/31.13 % (2717638)CaDiCaL version: 2.1.3
% 115.75/31.13 % (2717638)Termination reason: Instruction limit
% 115.75/31.13 % (2717638)Termination phase: SInE selection
% 115.75/31.13 % (2717638)Time elapsed: 0.353 s
% 115.75/31.13 % (2717638)Peak memory usage: 202 MB
% 115.75/31.13 % (2717638)Instructions burned: 525 (million)
% 115.75/31.13 % (2717640)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=1826348669:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2724 on theBenchmark for (2724ds/1016Mi)
% 115.75/31.13 % (2717636)Instruction limit reached!
% 115.75/31.13 % (2717636)------------------------------
% 115.75/31.13 % (2717636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 115.75/31.13 % (2717636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 115.75/31.13 % (2717636)CaDiCaL version: 2.1.3
% 115.75/31.13 % (2717636)Termination reason: Instruction limit
% 115.75/31.13 % (2717636)Termination phase: Preprocessing 3
% 115.75/31.13 % (2717636)Time elapsed: 2.151 s
% 115.75/31.13 % (2717636)Peak memory usage: 337 MB
% 115.75/31.13 % (2717636)Instructions burned: 3035 (million)
% 115.75/31.13 % (2717642)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=2777583921:i=14123:bd=preordered:ins=4_2720 on theBenchmark for (2720ds/14123Mi)
% 115.75/31.13 % (2717640)Instruction limit reached!
% 115.75/31.13 % (2717640)------------------------------
% 115.75/31.13 % (2717640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 115.75/31.13 % (2717640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 115.75/31.13 % (2717640)CaDiCaL version: 2.1.3
% 115.75/31.13 % (2717640)Termination reason: Instruction limit
% 115.75/31.13 % (2717640)Termination phase: Saturation
% 115.75/31.13 % (2717640)Time elapsed: 0.769 s
% 115.75/31.13 % (2717640)Peak memory usage: 211 MB
% 115.75/31.13 % (2717640)Instructions burned: 1016 (million)
% 115.75/31.13 % (2717644)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=2178249149:i=5781:kws=precedence:bd=all:rawr=on_2715 on theBenchmark for (2715ds/5781Mi)
% 115.75/31.13 % (2717626)First to succeed.
% 115.75/31.13 % (2717626)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2717383"
% 115.75/31.13 % (2717626)Refutation found. Thanks to Tanya!
% 115.75/31.13 % SZS status Theorem for theBenchmark
% 115.75/31.13 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/31.40 % (2717626)------------------------------
% 0.25/31.40 % (2717626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.25/31.40 % (2717626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/31.40 % (2717626)CaDiCaL version: 2.1.3
% 0.25/31.40 % (2717626)Termination reason: Refutation
% 0.25/31.40 % (2717626)Time elapsed: 8.722 s
% 0.25/31.40 % (2717626)Peak memory usage: 466 MB
% 0.25/31.40 % (2717626)Instructions burned: 13750 (million)
% 0.25/31.40 % (2717626)------------------------------
% 0.25/31.40 % (2717626)------------------------------
% 0.25/31.40 % (2717383)Success in time 30.08 s
% 0.25/31.40 % Vampire exiting
%------------------------------------------------------------------------------