%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU445+2 : 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 : n003.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 12:49:08 PM UTC 2026
% Result : Theorem 10.27s 2.48s
% Output : Refutation 11.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 28
% Syntax : Number of formulae : 169 ( 21 unt; 15 def)
% Number of atoms : 419 ( 84 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 457 ( 207 ~; 204 |; 16 &)
% ( 16 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 16 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-5 aty)
% Number of variables : 146 ( 0 sgn 143 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1145,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> ( k4_relset_1(X1,X0,k6_relset_1(X0,X1,X2)) = k5_relset_1(X0,X1,X2)
& k5_relset_1(X1,X0,k6_relset_1(X0,X1,X2)) = k4_relset_1(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_relset_1) ).
fof(f1159,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> ( k10_relset_1(X0,X1,X2,X0) = k5_relset_1(X0,X1,X2)
& k11_relset_1(X0,X1,X2,X1) = k4_relset_1(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t38_relset_1) ).
fof(f1160,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X1,X0)
=> ( k10_relset_1(X1,X0,X2,k11_relset_1(X1,X0,X2,X0)) = k5_relset_1(X1,X0,X2)
& k11_relset_1(X1,X0,X2,k10_relset_1(X1,X0,X2,X1)) = k4_relset_1(X1,X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_relset_1) ).
fof(f1179,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(f1181,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(f1196,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(f1198,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(f1206,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(f4467,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(f4523,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(f4525,axiom,
! [X0,X1,X2,X3] :
( m2_relset_1(X3,X0,X1)
=> ! [X4] :
( m2_relset_1(X4,X1,X2)
=> ( k2_funct_5(k9_relset_2(X0,X1,X2,X3,X4)) = k10_relset_1(X1,X2,X4,k2_funct_5(X3))
& r1_tarski(k2_funct_5(k9_relset_2(X0,X1,X2,X3,X4)),k2_funct_5(X4)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t53_relset_2) ).
fof(f4528,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)
& k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k10_relset_1(X1,X0,X2,X1)) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k2_funct_5(X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t56_relset_2) ).
fof(f4529,conjecture,
! [X0,X1,X2] :
( m2_relset_1(X2,X1,X0)
=> k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) = k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,X2,k6_relset_1(X1,X0,X2)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_relset_2) ).
fof(f4530,negated_conjecture,
~ ! [X0,X1,X2] :
( m2_relset_1(X2,X1,X0)
=> k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) = k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,X2,k6_relset_1(X1,X0,X2)),X1) ),
inference(negated_conjecture,[status(cth)],[f4529]) ).
fof(f4570,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,[],[f4467]) ).
fof(f4571,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,[],[f4570]) ).
fof(f4634,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,[],[f4523]) ).
fof(f4636,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ( k2_funct_5(k9_relset_2(X0,X1,X2,X3,X4)) = k10_relset_1(X1,X2,X4,k2_funct_5(X3))
& r1_tarski(k2_funct_5(k9_relset_2(X0,X1,X2,X3,X4)),k2_funct_5(X4)) )
| ~ m2_relset_1(X4,X1,X2) )
| ~ m2_relset_1(X3,X0,X1) ),
inference(ennf_transformation,[],[f4525]) ).
fof(f4639,plain,
! [X0,X1,X2] :
( ( k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0)
& k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k10_relset_1(X1,X0,X2,X1)) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k2_funct_5(X2)) )
| ~ m2_relset_1(X2,X1,X0) ),
inference(ennf_transformation,[],[f4528]) ).
fof(f4640,plain,
? [X0,X1,X2] :
( k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) != k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,X2,k6_relset_1(X1,X0,X2)),X1)
& m2_relset_1(X2,X1,X0) ),
inference(ennf_transformation,[],[f4530]) ).
fof(f4644,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,[],[f1179]) ).
fof(f4971,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,[],[f1206]) ).
fof(f5022,plain,
! [X0,X1,X2] :
( ( k10_relset_1(X1,X0,X2,k11_relset_1(X1,X0,X2,X0)) = k5_relset_1(X1,X0,X2)
& k11_relset_1(X1,X0,X2,k10_relset_1(X1,X0,X2,X1)) = k4_relset_1(X1,X0,X2) )
| ~ m2_relset_1(X2,X1,X0) ),
inference(ennf_transformation,[],[f1160]) ).
fof(f5023,plain,
! [X0,X1,X2] :
( ( k10_relset_1(X0,X1,X2,X0) = k5_relset_1(X0,X1,X2)
& k11_relset_1(X0,X1,X2,X1) = k4_relset_1(X0,X1,X2) )
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1159]) ).
fof(f5263,plain,
! [X0,X1,X2] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1198]) ).
fof(f5265,plain,
! [X0,X1,X2] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1196]) ).
fof(f5266,plain,
! [X0,X1,X2] :
( ( k4_relset_1(X1,X0,k6_relset_1(X0,X1,X2)) = k5_relset_1(X0,X1,X2)
& k5_relset_1(X1,X0,k6_relset_1(X0,X1,X2)) = k4_relset_1(X0,X1,X2) )
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1145]) ).
fof(f5291,plain,
( k10_relset_1(sK8,sK9,k6_relset_1(sK9,sK8,sK10),sK8) != k10_relset_1(sK9,sK9,k9_relset_2(sK9,sK8,sK9,sK10,k6_relset_1(sK9,sK8,sK10)),sK9)
& m2_relset_1(sK10,sK9,sK8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X0,sK8),skolemize(X1,sK9),skolemize(X2,sK10)],[f4640]) ).
fof(f5320,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,[],[f1181]) ).
fof(f5543,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,[],[f4571]) ).
fof(f5624,plain,
! [X2,X0,X1] :
( k10_relset_1(X1,X0,X2,X1) = k2_funct_5(X2)
| ~ m2_relset_1(X2,X1,X0) ),
inference(cnf_transformation,[],[f4634]) ).
fof(f5629,plain,
! [X2,X3,X0,X1,X4] :
( k2_funct_5(k9_relset_2(X0,X1,X2,X3,X4)) = k10_relset_1(X1,X2,X4,k2_funct_5(X3))
| ~ m2_relset_1(X4,X1,X2)
| ~ m2_relset_1(X3,X0,X1) ),
inference(cnf_transformation,[],[f4636]) ).
fof(f5635,plain,
! [X2,X0,X1] :
( k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0)
| ~ m2_relset_1(X2,X1,X0) ),
inference(cnf_transformation,[],[f4639]) ).
fof(f5636,plain,
m2_relset_1(sK10,sK9,sK8),
inference(cnf_transformation,[],[f5291]) ).
fof(f5637,plain,
k10_relset_1(sK8,sK9,k6_relset_1(sK9,sK8,sK10),sK8) != k10_relset_1(sK9,sK9,k9_relset_2(sK9,sK8,sK9,sK10,k6_relset_1(sK9,sK8,sK10)),sK9),
inference(cnf_transformation,[],[f5291]) ).
fof(f5645,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,[],[f4644]) ).
fof(f5732,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f5320]) ).
fof(f6115,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,[],[f4971]) ).
fof(f6239,plain,
! [X2,X0,X1] :
( k5_relset_1(X1,X0,X2) = k10_relset_1(X1,X0,X2,k11_relset_1(X1,X0,X2,X0))
| ~ m2_relset_1(X2,X1,X0) ),
inference(cnf_transformation,[],[f5022]) ).
fof(f6240,plain,
! [X2,X0,X1] :
( k4_relset_1(X0,X1,X2) = k11_relset_1(X0,X1,X2,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f5023]) ).
fof(f6241,plain,
! [X2,X0,X1] :
( k5_relset_1(X0,X1,X2) = k10_relset_1(X0,X1,X2,X0)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f5023]) ).
fof(f6602,plain,
! [X2,X0,X1] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f5263]) ).
fof(f6604,plain,
! [X2,X0,X1] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f5265]) ).
fof(f6605,plain,
! [X2,X0,X1] :
( k5_relset_1(X1,X0,k6_relset_1(X0,X1,X2)) = k4_relset_1(X0,X1,X2)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f5266]) ).
fof(f6606,plain,
! [X2,X0,X1] :
( k5_relset_1(X0,X1,X2) = k4_relset_1(X1,X0,k6_relset_1(X0,X1,X2))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f5266]) ).
fof(f7154,definition,
( spl298_1
<=> m2_relset_1(sK10,sK9,sK8) ),
introduced(definition,[new_symbols(definition,[spl298_1])],[avatar_definition]) ).
fof(f7156,plain,
( m2_relset_1(sK10,sK9,sK8)
| ~ spl298_1 ),
inference(avatar_component_clause,[],[f7154]) ).
fof(f7157,plain,
spl298_1,
inference(avatar_split_clause,[],[f5636,f7154]) ).
fof(f7179,plain,
( k10_relset_1(sK8,sK9,k6_relset_1(sK9,sK8,sK10),sK8) = k1_funct_5(sK10)
| ~ spl298_1 ),
inference(resolution,[],[f7156,f5635]) ).
fof(f7180,plain,
( m1_subset_1(sK10,k1_zfmisc_1(k2_zfmisc_1(sK9,sK8)))
| ~ spl298_1 ),
inference(resolution,[],[f7156,f5645]) ).
fof(f7181,plain,
( m1_relset_1(sK10,sK9,sK8)
| ~ spl298_1 ),
inference(resolution,[],[f7156,f5732]) ).
fof(f7219,plain,
( k4_relset_1(sK9,sK8,sK10) = k5_relset_1(sK8,sK9,k6_relset_1(sK9,sK8,sK10))
| ~ spl298_1 ),
inference(resolution,[],[f7156,f6605]) ).
fof(f7240,definition,
( spl298_2
<=> k10_relset_1(sK8,sK9,k6_relset_1(sK9,sK8,sK10),sK8) = k10_relset_1(sK9,sK9,k9_relset_2(sK9,sK8,sK9,sK10,k6_relset_1(sK9,sK8,sK10)),sK9) ),
introduced(definition,[new_symbols(definition,[spl298_2])],[avatar_definition]) ).
fof(f7242,plain,
( k10_relset_1(sK8,sK9,k6_relset_1(sK9,sK8,sK10),sK8) != k10_relset_1(sK9,sK9,k9_relset_2(sK9,sK8,sK9,sK10,k6_relset_1(sK9,sK8,sK10)),sK9)
| spl298_2 ),
inference(avatar_component_clause,[],[f7240]) ).
fof(f7243,plain,
~ spl298_2,
inference(avatar_split_clause,[],[f5637,f7240]) ).
fof(f7244,plain,
( k10_relset_1(sK9,sK9,k9_relset_2(sK9,sK8,sK9,sK10,k6_relset_1(sK9,sK8,sK10)),sK9) != k1_funct_5(sK10)
| ~ spl298_1
| spl298_2 ),
inference(forward_demodulation,[],[f7242,f7179]) ).
fof(f7246,definition,
( spl298_3
<=> k10_relset_1(sK9,sK9,k9_relset_2(sK9,sK8,sK9,sK10,k6_relset_1(sK9,sK8,sK10)),sK9) = k1_funct_5(sK10) ),
introduced(definition,[new_symbols(definition,[spl298_3])],[avatar_definition]) ).
fof(f7248,plain,
( k10_relset_1(sK9,sK9,k9_relset_2(sK9,sK8,sK9,sK10,k6_relset_1(sK9,sK8,sK10)),sK9) != k1_funct_5(sK10)
| spl298_3 ),
inference(avatar_component_clause,[],[f7246]) ).
fof(f7249,plain,
( ~ spl298_3
| ~ spl298_1
| spl298_2 ),
inference(avatar_split_clause,[],[f7244,f7240,f7154,f7246]) ).
fof(f7253,plain,
( k1_funct_5(sK10) != k2_funct_5(k9_relset_2(sK9,sK8,sK9,sK10,k6_relset_1(sK9,sK8,sK10)))
| ~ m2_relset_1(k9_relset_2(sK9,sK8,sK9,sK10,k6_relset_1(sK9,sK8,sK10)),sK9,sK9)
| spl298_3 ),
inference(superposition,[],[f7248,f5624]) ).
fof(f7285,definition,
( spl298_6
<=> m1_relset_1(sK10,sK9,sK8) ),
introduced(definition,[new_symbols(definition,[spl298_6])],[avatar_definition]) ).
fof(f7287,plain,
( m1_relset_1(sK10,sK9,sK8)
| ~ spl298_6 ),
inference(avatar_component_clause,[],[f7285]) ).
fof(f7288,plain,
( spl298_6
| ~ spl298_1 ),
inference(avatar_split_clause,[],[f7181,f7154,f7285]) ).
fof(f7290,definition,
( spl298_7
<=> m1_subset_1(k6_relset_1(sK9,sK8,sK10),k1_zfmisc_1(k2_zfmisc_1(sK8,sK9))) ),
introduced(definition,[new_symbols(definition,[spl298_7])],[avatar_definition]) ).
fof(f7291,plain,
( m1_subset_1(k6_relset_1(sK9,sK8,sK10),k1_zfmisc_1(k2_zfmisc_1(sK8,sK9)))
| ~ spl298_7 ),
inference(avatar_component_clause,[],[f7290]) ).
fof(f7292,plain,
( ~ m1_subset_1(k6_relset_1(sK9,sK8,sK10),k1_zfmisc_1(k2_zfmisc_1(sK8,sK9)))
| spl298_7 ),
inference(avatar_component_clause,[],[f7290]) ).
fof(f7298,plain,
( ~ m2_relset_1(k6_relset_1(sK9,sK8,sK10),sK8,sK9)
| spl298_7 ),
inference(resolution,[],[f7292,f5645]) ).
fof(f7324,definition,
( spl298_9
<=> m1_subset_1(k4_relat_1(sK10),k1_zfmisc_1(k2_zfmisc_1(sK8,sK9))) ),
introduced(definition,[new_symbols(definition,[spl298_9])],[avatar_definition]) ).
fof(f7325,plain,
( m1_subset_1(k4_relat_1(sK10),k1_zfmisc_1(k2_zfmisc_1(sK8,sK9)))
| ~ spl298_9 ),
inference(avatar_component_clause,[],[f7324]) ).
fof(f7326,plain,
( ~ m1_subset_1(k4_relat_1(sK10),k1_zfmisc_1(k2_zfmisc_1(sK8,sK9)))
| spl298_9 ),
inference(avatar_component_clause,[],[f7324]) ).
fof(f7329,definition,
( spl298_10
<=> m2_relset_1(k6_relset_1(sK9,sK8,sK10),sK8,sK9) ),
introduced(definition,[new_symbols(definition,[spl298_10])],[avatar_definition]) ).
fof(f7330,plain,
( m2_relset_1(k6_relset_1(sK9,sK8,sK10),sK8,sK9)
| ~ spl298_10 ),
inference(avatar_component_clause,[],[f7329]) ).
fof(f7331,plain,
( ~ m2_relset_1(k6_relset_1(sK9,sK8,sK10),sK8,sK9)
| spl298_10 ),
inference(avatar_component_clause,[],[f7329]) ).
fof(f7332,plain,
( ~ spl298_10
| spl298_7 ),
inference(avatar_split_clause,[],[f7298,f7290,f7329]) ).
fof(f7333,plain,
( ~ m1_relset_1(sK10,sK9,sK8)
| spl298_10 ),
inference(resolution,[],[f7331,f6604]) ).
fof(f7354,plain,
( $false
| ~ spl298_6
| spl298_10 ),
inference(forward_subsumption_resolution,[],[f7333,f7287]) ).
fof(f7355,plain,
( ~ spl298_6
| spl298_10 ),
inference(avatar_contradiction_clause,[],[f7354]) ).
fof(f7407,plain,
( k10_relset_1(sK8,sK9,k6_relset_1(sK9,sK8,sK10),sK8) = k5_relset_1(sK8,sK9,k6_relset_1(sK9,sK8,sK10))
| ~ spl298_10 ),
inference(resolution,[],[f7330,f6241]) ).
fof(f7438,plain,
( m2_relset_1(k4_relat_1(sK10),sK8,sK9)
| ~ m1_relset_1(sK10,sK9,sK8)
| ~ spl298_10 ),
inference(superposition,[],[f7330,f6602]) ).
fof(f7439,plain,
( m2_relset_1(k4_relat_1(sK10),sK8,sK9)
| ~ spl298_6
| ~ spl298_10 ),
inference(forward_subsumption_resolution,[],[f7438,f7287]) ).
fof(f7442,plain,
( k10_relset_1(sK8,sK9,k6_relset_1(sK9,sK8,sK10),sK8) = k4_relset_1(sK9,sK8,sK10)
| ~ spl298_1
| ~ spl298_10 ),
inference(forward_demodulation,[],[f7407,f7219]) ).
fof(f7449,plain,
( k1_funct_5(sK10) = k4_relset_1(sK9,sK8,sK10)
| ~ spl298_1
| ~ spl298_10 ),
inference(forward_demodulation,[],[f7442,f7179]) ).
fof(f7719,plain,
( m1_subset_1(k4_relat_1(sK10),k1_zfmisc_1(k2_zfmisc_1(sK8,sK9)))
| ~ m1_relset_1(sK10,sK9,sK8)
| ~ spl298_7 ),
inference(superposition,[],[f7291,f6602]) ).
fof(f7736,plain,
( ~ m1_relset_1(sK10,sK9,sK8)
| ~ spl298_7
| spl298_9 ),
inference(forward_subsumption_resolution,[],[f7719,f7326]) ).
fof(f7813,plain,
( $false
| ~ spl298_6
| ~ spl298_7
| spl298_9 ),
inference(forward_subsumption_resolution,[],[f7736,f7287]) ).
fof(f7814,plain,
( ~ spl298_6
| ~ spl298_7
| spl298_9 ),
inference(avatar_contradiction_clause,[],[f7813]) ).
fof(f7851,plain,
( ! [X0] : k10_relset_1(sK9,sK8,sK10,X0) = k9_relat_1(sK10,X0)
| ~ spl298_6 ),
inference(resolution,[],[f7287,f6115]) ).
fof(f7855,plain,
( k6_relset_1(sK9,sK8,sK10) = k4_relat_1(sK10)
| ~ spl298_6 ),
inference(resolution,[],[f7287,f6602]) ).
fof(f7859,definition,
( spl298_12
<=> ! [X0] : k10_relset_1(sK9,sK8,sK10,X0) = k9_relat_1(sK10,X0) ),
introduced(definition,[new_symbols(definition,[spl298_12])],[avatar_definition]) ).
fof(f7860,plain,
( ! [X0] : k10_relset_1(sK9,sK8,sK10,X0) = k9_relat_1(sK10,X0)
| ~ spl298_12 ),
inference(avatar_component_clause,[],[f7859]) ).
fof(f7861,plain,
( spl298_12
| ~ spl298_6 ),
inference(avatar_split_clause,[],[f7851,f7285,f7859]) ).
fof(f7866,plain,
( k9_relat_1(sK10,sK9) = k5_relset_1(sK9,sK8,sK10)
| ~ m2_relset_1(sK10,sK9,sK8)
| ~ spl298_12 ),
inference(superposition,[],[f6241,f7860]) ).
fof(f7869,plain,
( k2_funct_5(sK10) = k9_relat_1(sK10,sK9)
| ~ m2_relset_1(sK10,sK9,sK8)
| ~ spl298_12 ),
inference(superposition,[],[f5624,f7860]) ).
fof(f7884,plain,
( k2_funct_5(sK10) = k9_relat_1(sK10,sK9)
| ~ spl298_1
| ~ spl298_12 ),
inference(forward_subsumption_resolution,[],[f7869,f7156]) ).
fof(f7887,plain,
( k9_relat_1(sK10,sK9) = k5_relset_1(sK9,sK8,sK10)
| ~ spl298_1
| ~ spl298_12 ),
inference(forward_subsumption_resolution,[],[f7866,f7156]) ).
fof(f7894,plain,
( k2_funct_5(sK10) = k5_relset_1(sK9,sK8,sK10)
| ~ spl298_1
| ~ spl298_12 ),
inference(forward_demodulation,[],[f7887,f7884]) ).
fof(f7904,definition,
( spl298_13
<=> k6_relset_1(sK9,sK8,sK10) = k4_relat_1(sK10) ),
introduced(definition,[new_symbols(definition,[spl298_13])],[avatar_definition]) ).
fof(f7906,plain,
( k6_relset_1(sK9,sK8,sK10) = k4_relat_1(sK10)
| ~ spl298_13 ),
inference(avatar_component_clause,[],[f7904]) ).
fof(f7907,plain,
( spl298_13
| ~ spl298_6 ),
inference(avatar_split_clause,[],[f7855,f7285,f7904]) ).
fof(f7923,plain,
( k4_relset_1(sK9,sK8,sK10) = k5_relset_1(sK8,sK9,k4_relat_1(sK10))
| ~ m2_relset_1(sK10,sK9,sK8)
| ~ spl298_13 ),
inference(superposition,[],[f6605,f7906]) ).
fof(f7924,plain,
( k5_relset_1(sK9,sK8,sK10) = k4_relset_1(sK8,sK9,k4_relat_1(sK10))
| ~ m2_relset_1(sK10,sK9,sK8)
| ~ spl298_13 ),
inference(superposition,[],[f6606,f7906]) ).
fof(f7925,plain,
( k5_relset_1(sK9,sK8,sK10) = k4_relset_1(sK8,sK9,k4_relat_1(sK10))
| ~ spl298_1
| ~ spl298_13 ),
inference(forward_subsumption_resolution,[],[f7924,f7156]) ).
fof(f7926,plain,
( k4_relset_1(sK9,sK8,sK10) = k5_relset_1(sK8,sK9,k4_relat_1(sK10))
| ~ spl298_1
| ~ spl298_13 ),
inference(forward_subsumption_resolution,[],[f7923,f7156]) ).
fof(f7936,plain,
( k2_funct_5(sK10) = k4_relset_1(sK8,sK9,k4_relat_1(sK10))
| ~ spl298_1
| ~ spl298_12
| ~ spl298_13 ),
inference(forward_demodulation,[],[f7925,f7894]) ).
fof(f7937,plain,
( k1_funct_5(sK10) = k5_relset_1(sK8,sK9,k4_relat_1(sK10))
| ~ spl298_1
| ~ spl298_10
| ~ spl298_13 ),
inference(forward_demodulation,[],[f7926,f7449]) ).
fof(f7952,definition,
( spl298_16
<=> m2_relset_1(k9_relset_2(sK9,sK8,sK9,sK10,k6_relset_1(sK9,sK8,sK10)),sK9,sK9) ),
introduced(definition,[new_symbols(definition,[spl298_16])],[avatar_definition]) ).
fof(f7954,plain,
( ~ m2_relset_1(k9_relset_2(sK9,sK8,sK9,sK10,k6_relset_1(sK9,sK8,sK10)),sK9,sK9)
| spl298_16 ),
inference(avatar_component_clause,[],[f7952]) ).
fof(f7956,definition,
( spl298_17
<=> k1_funct_5(sK10) = k2_funct_5(k9_relset_2(sK9,sK8,sK9,sK10,k6_relset_1(sK9,sK8,sK10))) ),
introduced(definition,[new_symbols(definition,[spl298_17])],[avatar_definition]) ).
fof(f7958,plain,
( k1_funct_5(sK10) != k2_funct_5(k9_relset_2(sK9,sK8,sK9,sK10,k6_relset_1(sK9,sK8,sK10)))
| spl298_17 ),
inference(avatar_component_clause,[],[f7956]) ).
fof(f7959,plain,
( ~ spl298_16
| ~ spl298_17
| spl298_3 ),
inference(avatar_split_clause,[],[f7253,f7246,f7956,f7952]) ).
fof(f7960,plain,
( ~ m2_relset_1(k9_relset_2(sK9,sK8,sK9,sK10,k4_relat_1(sK10)),sK9,sK9)
| ~ spl298_13
| spl298_16 ),
inference(forward_demodulation,[],[f7954,f7906]) ).
fof(f7962,definition,
( spl298_18
<=> m2_relset_1(k9_relset_2(sK9,sK8,sK9,sK10,k4_relat_1(sK10)),sK9,sK9) ),
introduced(definition,[new_symbols(definition,[spl298_18])],[avatar_definition]) ).
fof(f7964,plain,
( ~ m2_relset_1(k9_relset_2(sK9,sK8,sK9,sK10,k4_relat_1(sK10)),sK9,sK9)
| spl298_18 ),
inference(avatar_component_clause,[],[f7962]) ).
fof(f7965,plain,
( ~ spl298_18
| ~ spl298_13
| spl298_16 ),
inference(avatar_split_clause,[],[f7960,f7952,f7904,f7962]) ).
fof(f7966,plain,
( ~ m1_subset_1(sK10,k1_zfmisc_1(k2_zfmisc_1(sK9,sK8)))
| ~ m1_subset_1(k4_relat_1(sK10),k1_zfmisc_1(k2_zfmisc_1(sK8,sK9)))
| spl298_18 ),
inference(resolution,[],[f7964,f5543]) ).
fof(f7990,plain,
( ~ m1_subset_1(k4_relat_1(sK10),k1_zfmisc_1(k2_zfmisc_1(sK8,sK9)))
| ~ spl298_1
| spl298_18 ),
inference(forward_subsumption_resolution,[],[f7966,f7180]) ).
fof(f7992,plain,
( $false
| ~ spl298_1
| ~ spl298_9
| spl298_18 ),
inference(forward_subsumption_resolution,[],[f7990,f7325]) ).
fof(f7993,plain,
( ~ spl298_1
| ~ spl298_9
| spl298_18 ),
inference(avatar_contradiction_clause,[],[f7992]) ).
fof(f7995,plain,
( k1_funct_5(sK10) != k2_funct_5(k9_relset_2(sK9,sK8,sK9,sK10,k4_relat_1(sK10)))
| ~ spl298_13
| spl298_17 ),
inference(forward_demodulation,[],[f7958,f7906]) ).
fof(f8283,definition,
( spl298_23
<=> k1_funct_5(sK10) = k2_funct_5(k9_relset_2(sK9,sK8,sK9,sK10,k4_relat_1(sK10))) ),
introduced(definition,[new_symbols(definition,[spl298_23])],[avatar_definition]) ).
fof(f8285,plain,
( k1_funct_5(sK10) != k2_funct_5(k9_relset_2(sK9,sK8,sK9,sK10,k4_relat_1(sK10)))
| spl298_23 ),
inference(avatar_component_clause,[],[f8283]) ).
fof(f8286,plain,
( ~ spl298_23
| ~ spl298_13
| spl298_17 ),
inference(avatar_split_clause,[],[f7995,f7956,f7904,f8283]) ).
fof(f8291,plain,
( k1_funct_5(sK10) != k10_relset_1(sK8,sK9,k4_relat_1(sK10),k2_funct_5(sK10))
| ~ m2_relset_1(k4_relat_1(sK10),sK8,sK9)
| ~ m2_relset_1(sK10,sK9,sK8)
| spl298_23 ),
inference(superposition,[],[f8285,f5629]) ).
fof(f8297,plain,
( k1_funct_5(sK10) != k10_relset_1(sK8,sK9,k4_relat_1(sK10),k2_funct_5(sK10))
| ~ m2_relset_1(sK10,sK9,sK8)
| ~ spl298_6
| ~ spl298_10
| spl298_23 ),
inference(forward_subsumption_resolution,[],[f8291,f7439]) ).
fof(f8298,plain,
( k1_funct_5(sK10) != k10_relset_1(sK8,sK9,k4_relat_1(sK10),k2_funct_5(sK10))
| ~ spl298_1
| ~ spl298_6
| ~ spl298_10
| spl298_23 ),
inference(forward_subsumption_resolution,[],[f8297,f7156]) ).
fof(f8300,definition,
( spl298_24
<=> k1_funct_5(sK10) = k10_relset_1(sK8,sK9,k4_relat_1(sK10),k2_funct_5(sK10)) ),
introduced(definition,[new_symbols(definition,[spl298_24])],[avatar_definition]) ).
fof(f8302,plain,
( k1_funct_5(sK10) != k10_relset_1(sK8,sK9,k4_relat_1(sK10),k2_funct_5(sK10))
| spl298_24 ),
inference(avatar_component_clause,[],[f8300]) ).
fof(f8303,plain,
( ~ spl298_24
| ~ spl298_1
| ~ spl298_6
| ~ spl298_10
| spl298_23 ),
inference(avatar_split_clause,[],[f8298,f8283,f7329,f7285,f7154,f8300]) ).
fof(f8456,definition,
( spl298_31
<=> m2_relset_1(k4_relat_1(sK10),sK8,sK9) ),
introduced(definition,[new_symbols(definition,[spl298_31])],[avatar_definition]) ).
fof(f8458,plain,
( m2_relset_1(k4_relat_1(sK10),sK8,sK9)
| ~ spl298_31 ),
inference(avatar_component_clause,[],[f8456]) ).
fof(f8459,plain,
( spl298_31
| ~ spl298_6
| ~ spl298_10 ),
inference(avatar_split_clause,[],[f7439,f7329,f7285,f8456]) ).
fof(f8505,plain,
( k5_relset_1(sK8,sK9,k4_relat_1(sK10)) = k10_relset_1(sK8,sK9,k4_relat_1(sK10),k11_relset_1(sK8,sK9,k4_relat_1(sK10),sK9))
| ~ spl298_31 ),
inference(resolution,[],[f8458,f6239]) ).
fof(f8506,plain,
( k4_relset_1(sK8,sK9,k4_relat_1(sK10)) = k11_relset_1(sK8,sK9,k4_relat_1(sK10),sK9)
| ~ spl298_31 ),
inference(resolution,[],[f8458,f6240]) ).
fof(f8544,plain,
( k2_funct_5(sK10) = k11_relset_1(sK8,sK9,k4_relat_1(sK10),sK9)
| ~ spl298_1
| ~ spl298_12
| ~ spl298_13
| ~ spl298_31 ),
inference(forward_demodulation,[],[f8506,f7936]) ).
fof(f8545,plain,
( k1_funct_5(sK10) = k10_relset_1(sK8,sK9,k4_relat_1(sK10),k11_relset_1(sK8,sK9,k4_relat_1(sK10),sK9))
| ~ spl298_1
| ~ spl298_10
| ~ spl298_13
| ~ spl298_31 ),
inference(forward_demodulation,[],[f8505,f7937]) ).
fof(f8554,plain,
( k1_funct_5(sK10) = k10_relset_1(sK8,sK9,k4_relat_1(sK10),k2_funct_5(sK10))
| ~ spl298_1
| ~ spl298_10
| ~ spl298_12
| ~ spl298_13
| ~ spl298_31 ),
inference(forward_demodulation,[],[f8545,f8544]) ).
fof(f8556,plain,
( $false
| ~ spl298_1
| ~ spl298_10
| ~ spl298_12
| ~ spl298_13
| spl298_24
| ~ spl298_31 ),
inference(forward_subsumption_resolution,[],[f8554,f8302]) ).
fof(f8557,plain,
( ~ spl298_1
| ~ spl298_10
| ~ spl298_12
| ~ spl298_13
| spl298_24
| ~ spl298_31 ),
inference(avatar_contradiction_clause,[],[f8556]) ).
cnf(s1,plain,
spl298_1,
inference(sat_conversion,[],[f7157]) ).
cnf(s2,plain,
~ spl298_2,
inference(sat_conversion,[],[f7243]) ).
cnf(s3,plain,
( ~ spl298_1
| spl298_2
| ~ spl298_3 ),
inference(sat_conversion,[],[f7249]) ).
cnf(s6,plain,
( ~ spl298_1
| spl298_6 ),
inference(sat_conversion,[],[f7288]) ).
cnf(s9,plain,
( spl298_7
| ~ spl298_10 ),
inference(sat_conversion,[],[f7332]) ).
cnf(s10,plain,
( ~ spl298_6
| spl298_10 ),
inference(sat_conversion,[],[f7355]) ).
cnf(s12,plain,
( ~ spl298_6
| ~ spl298_7
| spl298_9 ),
inference(sat_conversion,[],[f7814]) ).
cnf(s13,plain,
( ~ spl298_6
| spl298_12 ),
inference(sat_conversion,[],[f7861]) ).
cnf(s14,plain,
( ~ spl298_6
| spl298_13 ),
inference(sat_conversion,[],[f7907]) ).
cnf(s17,plain,
( spl298_3
| ~ spl298_16
| ~ spl298_17 ),
inference(sat_conversion,[],[f7959]) ).
cnf(s18,plain,
( ~ spl298_13
| spl298_16
| ~ spl298_18 ),
inference(sat_conversion,[],[f7965]) ).
cnf(s19,plain,
( ~ spl298_1
| ~ spl298_9
| spl298_18 ),
inference(sat_conversion,[],[f7993]) ).
cnf(s24,plain,
( ~ spl298_13
| spl298_17
| ~ spl298_23 ),
inference(sat_conversion,[],[f8286]) ).
cnf(s25,plain,
( ~ spl298_1
| ~ spl298_6
| ~ spl298_10
| spl298_23
| ~ spl298_24 ),
inference(sat_conversion,[],[f8303]) ).
cnf(s32,plain,
( ~ spl298_6
| ~ spl298_10
| spl298_31 ),
inference(sat_conversion,[],[f8459]) ).
cnf(s33,plain,
( ~ spl298_1
| ~ spl298_10
| ~ spl298_12
| ~ spl298_13
| spl298_24
| ~ spl298_31 ),
inference(sat_conversion,[],[f8557]) ).
cnf(s37,plain,
spl298_6,
inference(rat,[],[s6,s1]) ).
cnf(s39,plain,
~ spl298_3,
inference(rat,[],[s3,s2,s1]) ).
cnf(s42,plain,
spl298_13,
inference(rat,[],[s14,s37]) ).
cnf(s43,plain,
spl298_12,
inference(rat,[],[s13,s37]) ).
cnf(s44,plain,
spl298_10,
inference(rat,[],[s10,s37]) ).
cnf(s47,plain,
spl298_31,
inference(rat,[],[s32,s37,s44]) ).
cnf(s50,plain,
spl298_7,
inference(rat,[],[s9,s44]) ).
cnf(s51,plain,
spl298_24,
inference(rat,[],[s33,s44,s43,s42,s1,s47]) ).
cnf(s52,plain,
spl298_9,
inference(rat,[],[s12,s37,s50]) ).
cnf(s54,plain,
spl298_23,
inference(rat,[],[s25,s44,s37,s1,s51]) ).
cnf(s55,plain,
spl298_18,
inference(rat,[],[s19,s1,s52]) ).
cnf(s57,plain,
spl298_17,
inference(rat,[],[s24,s42,s54]) ).
cnf(s61,plain,
spl298_16,
inference(rat,[],[s18,s42,s55]) ).
cnf(s62,plain,
$false,
inference(rat,[],[s17,s39,s57,s61]) ).
fof(f8558,plain,
$false,
inference(avatar_sat_refutation,[],[s62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU445+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n003.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 28 05:34:43 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 10.27/2.48 % (1256527)Detected formulas, will run a generic FOF schedule.
% 10.27/2.48 % (1256537)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3755918161:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 10.27/2.48 % (1256536)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1262572416:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 10.27/2.48 % (1256535)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4036467602:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 10.27/2.48 % (1256534)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=3414225286:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 10.27/2.48 % (1256532)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=1580307487:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 10.27/2.48 % (1256533)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=828098507:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 10.27/2.48 % (1256537)Instruction limit reached!
% 10.27/2.48 % (1256537)------------------------------
% 10.27/2.48 % (1256537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.48 % (1256537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.48 % (1256537)CaDiCaL version: 2.1.3
% 10.27/2.48 % (1256537)Termination reason: Instruction limit
% 10.27/2.48 % (1256537)Termination phase: Preprocessing 3
% 10.27/2.48 % (1256537)Time elapsed: 0.053 s
% 10.27/2.48 % (1256537)Peak memory usage: 94 MB
% 10.27/2.48 % (1256537)Instructions burned: 139 (million)
% 10.27/2.48 % (1256538)dis-21_1_sil=8000:lcm=predicate:random_seed=886222324:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 10.27/2.48 % (1256535)Instruction limit reached!
% 10.27/2.48 % (1256535)------------------------------
% 10.27/2.48 % (1256535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.48 % (1256535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.48 % (1256535)CaDiCaL version: 2.1.3
% 10.27/2.48 % (1256535)Termination reason: Instruction limit
% 10.27/2.48 % (1256535)Termination phase: Saturation
% 10.27/2.48 % (1256535)Time elapsed: 0.063 s
% 10.27/2.48 % (1256535)Peak memory usage: 93 MB
% 10.27/2.48 % (1256535)Instructions burned: 110 (million)
% 10.27/2.48 % (1256536)Instruction limit reached!
% 10.27/2.48 % (1256536)------------------------------
% 10.27/2.48 % (1256536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.48 % (1256536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.48 % (1256536)CaDiCaL version: 2.1.3
% 10.27/2.48 % (1256536)Termination reason: Instruction limit
% 10.27/2.48 % (1256536)Termination phase: Saturation
% 10.27/2.48 % (1256536)Time elapsed: 0.075 s
% 10.27/2.48 % (1256536)Peak memory usage: 94 MB
% 10.27/2.48 % (1256536)Instructions burned: 119 (million)
% 10.27/2.48 % (1256546)lrs+10_1_sil=8000:sp=occurrence:random_seed=392694514:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 10.27/2.48 % (1256538)Instruction limit reached!
% 10.27/2.48 % (1256538)------------------------------
% 10.27/2.48 % (1256538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.48 % (1256538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.48 % (1256538)CaDiCaL version: 2.1.3
% 10.27/2.48 % (1256538)Termination reason: Instruction limit
% 10.27/2.48 % (1256538)Termination phase: Preprocessing 3
% 10.27/2.48 % (1256538)Time elapsed: 0.092 s
% 10.27/2.48 % (1256538)Peak memory usage: 94 MB
% 10.27/2.48 % (1256538)Instructions burned: 129 (million)
% 10.27/2.48 % (1256547)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3474141158:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 10.27/2.48 % (1256548)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2742274599:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 10.27/2.48 % (1256546)Instruction limit reached!
% 10.27/2.48 % (1256546)------------------------------
% 10.27/2.48 % (1256546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.48 % (1256546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.48 % (1256546)CaDiCaL version: 2.1.3
% 10.27/2.48 % (1256546)Termination reason: Instruction limit
% 10.27/2.48 % (1256546)Termination phase: Saturation
% 10.27/2.48 % (1256546)Time elapsed: 0.104 s
% 10.27/2.48 % (1256546)Peak memory usage: 98 MB
% 10.27/2.48 % (1256546)Instructions burned: 288 (million)
% 10.27/2.48 % (1256550)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=610963037:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 10.27/2.48 % (1256553)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=27170661:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 10.27/2.48 % (1256547)Instruction limit reached!
% 10.27/2.48 % (1256547)------------------------------
% 10.27/2.48 % (1256547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.48 % (1256547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.48 % (1256547)CaDiCaL version: 2.1.3
% 10.27/2.48 % (1256547)Termination reason: Instruction limit
% 10.27/2.48 % (1256547)Termination phase: Saturation
% 10.27/2.48 % (1256547)Time elapsed: 0.090 s
% 10.27/2.48 % (1256547)Peak memory usage: 94 MB
% 10.27/2.48 % (1256547)Instructions burned: 158 (million)
% 10.27/2.48 % (1256553)Instruction limit reached!
% 10.27/2.48 % (1256553)------------------------------
% 10.27/2.48 % (1256553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.48 % (1256553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.48 % (1256553)CaDiCaL version: 2.1.3
% 10.27/2.48 % (1256553)Termination reason: Instruction limit
% 10.27/2.48 % (1256553)Termination phase: Saturation
% 10.27/2.48 % (1256553)Time elapsed: 0.095 s
% 10.27/2.48 % (1256553)Peak memory usage: 97 MB
% 10.27/2.48 % (1256553)Instructions burned: 296 (million)
% 10.27/2.48 % (1256550)Instruction limit reached!
% 10.27/2.48 % (1256550)------------------------------
% 10.27/2.48 % (1256550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.48 % (1256550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.48 % (1256550)CaDiCaL version: 2.1.3
% 10.27/2.48 % (1256550)Termination reason: Instruction limit
% 10.27/2.48 % (1256550)Termination phase: Property scanning
% 10.27/2.48 % (1256550)Time elapsed: 0.149 s
% 10.27/2.48 % (1256550)Peak memory usage: 99 MB
% 10.27/2.48 % (1256550)Instructions burned: 249 (million)
% 10.27/2.48 % (1256548)Instruction limit reached!
% 10.27/2.48 % (1256548)------------------------------
% 10.27/2.48 % (1256548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.48 % (1256548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.48 % (1256548)CaDiCaL version: 2.1.3
% 10.27/2.48 % (1256548)Termination reason: Instruction limit
% 10.27/2.48 % (1256548)Termination phase: Saturation
% 10.27/2.48 % (1256548)Time elapsed: 0.214 s
% 10.27/2.48 % (1256548)Peak memory usage: 97 MB
% 10.27/2.48 % (1256548)Instructions burned: 325 (million)
% 10.27/2.48 % (1256556)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1883736610:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 10.27/2.48 % (1256557)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4215681781:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 10.27/2.48 % (1256557)Instruction limit reached!
% 10.27/2.48 % (1256557)------------------------------
% 10.27/2.48 % (1256557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.48 % (1256557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.48 % (1256557)CaDiCaL version: 2.1.3
% 10.27/2.48 % (1256557)Termination reason: Instruction limit
% 10.27/2.48 % (1256557)Termination phase: Saturation
% 10.27/2.48 % (1256557)Time elapsed: 0.037 s
% 10.27/2.48 % (1256557)Peak memory usage: 95 MB
% 10.27/2.48 % (1256557)Instructions burned: 114 (million)
% 10.27/2.48 % (1256558)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1738845723:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 10.27/2.48 % (1256559)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=235408848:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 10.27/2.48 % (1256562)lrs+10_1_sil=8000:sp=occurrence:random_seed=3849241398:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 10.27/2.48 % (1256559)Instruction limit reached!
% 10.27/2.48 % (1256559)------------------------------
% 10.27/2.48 % (1256559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.48 % (1256559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.48 % (1256559)CaDiCaL version: 2.1.3
% 10.27/2.48 % (1256559)Termination reason: Instruction limit
% 10.27/2.48 % (1256559)Termination phase: SInE selection
% 10.27/2.48 % (1256559)Time elapsed: 0.054 s
% 10.27/2.48 % (1256559)Peak memory usage: 89 MB
% 10.27/2.48 % (1256559)Instructions burned: 115 (million)
% 10.27/2.48 % (1256558)Instruction limit reached!
% 10.27/2.48 % (1256558)------------------------------
% 10.27/2.48 % (1256558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.48 % (1256558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.48 % (1256558)CaDiCaL version: 2.1.3
% 10.27/2.48 % (1256558)Termination reason: Instruction limit
% 10.27/2.48 % (1256558)Termination phase: Preprocessing 3
% 10.27/2.48 % (1256558)Time elapsed: 0.088 s
% 10.27/2.48 % (1256558)Peak memory usage: 97 MB
% 10.27/2.48 % (1256558)Instructions burned: 127 (million)
% 10.27/2.48 % (1256566)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3041599989:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 10.27/2.48 % (1256567)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3017353634:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 10.27/2.48 % (1256562)Instruction limit reached!
% 10.27/2.48 % (1256562)------------------------------
% 10.27/2.48 % (1256562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.48 % (1256562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.48 % (1256562)CaDiCaL version: 2.1.3
% 10.27/2.48 % (1256562)Termination reason: Instruction limit
% 10.27/2.48 % (1256562)Termination phase: Saturation
% 10.27/2.48 % (1256562)Time elapsed: 0.339 s
% 10.27/2.48 % (1256562)Peak memory usage: 107 MB
% 10.27/2.48 % (1256562)Instructions burned: 908 (million)
% 10.27/2.48 % (1256566)Refutation not found, incomplete strategy
% 10.27/2.48 % (1256566)------------------------------
% 10.27/2.48 % (1256566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.48 % (1256566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.48 % (1256566)CaDiCaL version: 2.1.3
% 10.27/2.48 % (1256566)Termination reason: Refutation not found, incomplete strategy
% 10.27/2.48 % (1256566)Time elapsed: 0.248 s
% 10.27/2.48 % (1256566)Peak memory usage: 97 MB
% 10.27/2.48 % (1256566)Instructions burned: 368 (million)
% 10.27/2.48 % (1256534)First to succeed.
% 10.27/2.48 % (1256534)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1256527"
% 10.27/2.48 % (1256570)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=933114179:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 10.27/2.48 % (1256570)Instruction limit reached!
% 10.27/2.48 % (1256570)------------------------------
% 10.27/2.48 % (1256570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.48 % (1256570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.48 % (1256570)CaDiCaL version: 2.1.3
% 10.27/2.48 % (1256570)Termination reason: Instruction limit
% 10.27/2.48 % (1256570)Termination phase: Saturation
% 10.27/2.48 % (1256570)Time elapsed: 0.047 s
% 10.27/2.48 % (1256570)Peak memory usage: 96 MB
% 10.27/2.48 % (1256570)Instructions burned: 134 (million)
% 10.27/2.48 % (1256572)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=727176230:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 10.27/2.48 % (1256566)------------------------------
% 10.27/2.48 % (1256566)------------------------------
% 10.27/2.48 % (1256534)Refutation found. Thanks to Tanya!
% 10.27/2.48 % SZS status Theorem for theBenchmark
% 10.27/2.48 % SZS output start Proof for theBenchmark
% See solution above
% 11.03/2.68 % (1256534)------------------------------
% 11.03/2.68 % (1256534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.68 % (1256534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.68 % (1256534)CaDiCaL version: 2.1.3
% 11.03/2.68 % (1256534)Termination reason: Refutation
% 11.03/2.68 % (1256534)Time elapsed: 1.023 s
% 11.03/2.68 % (1256534)Peak memory usage: 149 MB
% 11.03/2.68 % (1256534)Instructions burned: 1583 (million)
% 11.03/2.68 % (1256534)------------------------------
% 11.03/2.68 % (1256534)------------------------------
% 11.03/2.68 % (1256527)Success in time 1.635 s
% 11.03/2.68 % Vampire exiting
%------------------------------------------------------------------------------