%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CAT030+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 : n015.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 09:36:45 AM UTC 2026
% Result : Theorem 15.98s 6.95s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 8
% Syntax : Number of formulae : 100 ( 23 unt; 0 def)
% Number of atoms : 509 ( 69 equ)
% Maximal formula atoms : 10 ( 5 avg)
% Number of connectives : 727 ( 318 ~; 311 |; 71 &)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-5 aty)
% Number of variables : 216 ( 204 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17869,axiom,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( m2_cat_1(X2,X0,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_cat_1(X0))
=> k13_cat_1(X0,X1,X2,X3) = k8_funct_2(u1_cat_1(X0),u1_cat_1(X1),k12_cat_1(X0,X1,X2),X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d20_cat_1) ).
fof(f21083,axiom,
! [X0,X1] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1) )
=> ( v1_cat_1(k11_cat_2(X0,X1))
& v2_cat_1(k11_cat_2(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_cat_2) ).
fof(f21153,axiom,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X0,X1)
=> ! [X4] :
( m2_cat_1(X4,X0,X2)
=> ! [X5] :
( m1_subset_1(X5,u1_cat_1(X0))
=> k8_funct_2(u1_cat_1(X0),u1_cat_1(k11_cat_2(X1,X2)),k12_cat_1(X0,k11_cat_2(X1,X2),k18_cat_2(X0,X1,X2,X3,X4)),X5) = k12_cat_2(X1,X2,k8_funct_2(u1_cat_1(X0),u1_cat_1(X1),k12_cat_1(X0,X1,X3),X5),k8_funct_2(u1_cat_1(X0),u1_cat_1(X2),k12_cat_1(X0,X2,X4),X5)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_cat_2) ).
fof(f21181,axiom,
! [X0,X1] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1) )
=> ( v2_cat_1(k11_cat_2(X0,X1))
& l1_cat_1(k11_cat_2(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_cat_2) ).
fof(f21190,axiom,
! [X0,X1,X2,X3,X4] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2)
& m2_cat_1(X3,X0,X1)
& m2_cat_1(X4,X0,X2) )
=> m2_cat_1(k18_cat_2(X0,X1,X2,X3,X4),X0,k11_cat_2(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k18_cat_2) ).
fof(f21191,axiom,
! [X0,X1,X2,X3,X4] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2)
& m2_cat_1(X3,X0,X1)
& m2_cat_1(X4,X0,X2) )
=> k18_cat_2(X0,X1,X2,X3,X4) = k13_funct_3(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k18_cat_2) ).
fof(f29044,axiom,
! [X0,X1,X2,X3,X4] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2)
& m2_cat_1(X3,X0,X1)
& m2_cat_1(X4,X0,X2) )
=> k10_isocat_2(X0,X1,X2,X3,X4) = k13_funct_3(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k10_isocat_2) ).
fof(f29107,conjecture,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X0,X1)
=> ! [X4] :
( m2_cat_1(X4,X0,X2)
=> ! [X5] :
( m1_subset_1(X5,u1_cat_1(X0))
=> k13_cat_1(X0,k11_cat_2(X1,X2),k10_isocat_2(X0,X1,X2,X3,X4),X5) = k12_cat_2(X1,X2,k13_cat_1(X0,X1,X3,X5),k13_cat_1(X0,X2,X4,X5)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_isocat_2) ).
fof(f29108,negated_conjecture,
~ ! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X0,X1)
=> ! [X4] :
( m2_cat_1(X4,X0,X2)
=> ! [X5] :
( m1_subset_1(X5,u1_cat_1(X0))
=> k13_cat_1(X0,k11_cat_2(X1,X2),k10_isocat_2(X0,X1,X2,X3,X4),X5) = k12_cat_2(X1,X2,k13_cat_1(X0,X1,X3,X5),k13_cat_1(X0,X2,X4,X5)) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f29107]) ).
fof(f29245,plain,
! [X0,X1,X2,X3,X4] :
( k10_isocat_2(X0,X1,X2,X3,X4) = k13_funct_3(X3,X4)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X4,X0,X2) ),
inference(ennf_transformation,[],[f29044]) ).
fof(f29246,plain,
! [X0,X1,X2,X3,X4] :
( k10_isocat_2(X0,X1,X2,X3,X4) = k13_funct_3(X3,X4)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X4,X0,X2) ),
inference(flattening,[],[f29245]) ).
fof(f29363,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k13_cat_1(X0,k11_cat_2(X1,X2),k10_isocat_2(X0,X1,X2,X3,X4),X5) != k12_cat_2(X1,X2,k13_cat_1(X0,X1,X3,X5),k13_cat_1(X0,X2,X4,X5))
& m1_subset_1(X5,u1_cat_1(X0)) )
& m2_cat_1(X4,X0,X2) )
& m2_cat_1(X3,X0,X1) )
& v2_cat_1(X2)
& l1_cat_1(X2) )
& v2_cat_1(X1)
& l1_cat_1(X1) )
& v2_cat_1(X0)
& l1_cat_1(X0) ),
inference(ennf_transformation,[],[f29108]) ).
fof(f29364,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k13_cat_1(X0,k11_cat_2(X1,X2),k10_isocat_2(X0,X1,X2,X3,X4),X5) != k12_cat_2(X1,X2,k13_cat_1(X0,X1,X3,X5),k13_cat_1(X0,X2,X4,X5))
& m1_subset_1(X5,u1_cat_1(X0)) )
& m2_cat_1(X4,X0,X2) )
& m2_cat_1(X3,X0,X1) )
& v2_cat_1(X2)
& l1_cat_1(X2) )
& v2_cat_1(X1)
& l1_cat_1(X1) )
& v2_cat_1(X0)
& l1_cat_1(X0) ),
inference(flattening,[],[f29363]) ).
fof(f29416,plain,
! [X0,X1] :
( ( v2_cat_1(k11_cat_2(X0,X1))
& l1_cat_1(k11_cat_2(X0,X1)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(ennf_transformation,[],[f21181]) ).
fof(f29417,plain,
! [X0,X1] :
( ( v2_cat_1(k11_cat_2(X0,X1))
& l1_cat_1(k11_cat_2(X0,X1)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(flattening,[],[f29416]) ).
fof(f30187,plain,
! [X0,X1] :
( ( v1_cat_1(k11_cat_2(X0,X1))
& v2_cat_1(k11_cat_2(X0,X1)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(ennf_transformation,[],[f21083]) ).
fof(f30188,plain,
! [X0,X1] :
( ( v1_cat_1(k11_cat_2(X0,X1))
& v2_cat_1(k11_cat_2(X0,X1)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(flattening,[],[f30187]) ).
fof(f30199,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k13_cat_1(X0,X1,X2,X3) = k8_funct_2(u1_cat_1(X0),u1_cat_1(X1),k12_cat_1(X0,X1,X2),X3)
| ~ m1_subset_1(X3,u1_cat_1(X0)) )
| ~ m2_cat_1(X2,X0,X1) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f17869]) ).
fof(f30200,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k13_cat_1(X0,X1,X2,X3) = k8_funct_2(u1_cat_1(X0),u1_cat_1(X1),k12_cat_1(X0,X1,X2),X3)
| ~ m1_subset_1(X3,u1_cat_1(X0)) )
| ~ m2_cat_1(X2,X0,X1) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f30199]) ).
fof(f30239,plain,
! [X0,X1,X2,X3,X4] :
( k18_cat_2(X0,X1,X2,X3,X4) = k13_funct_3(X3,X4)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X4,X0,X2) ),
inference(ennf_transformation,[],[f21191]) ).
fof(f30240,plain,
! [X0,X1,X2,X3,X4] :
( k18_cat_2(X0,X1,X2,X3,X4) = k13_funct_3(X3,X4)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X4,X0,X2) ),
inference(flattening,[],[f30239]) ).
fof(f30241,plain,
! [X0,X1,X2,X3,X4] :
( m2_cat_1(k18_cat_2(X0,X1,X2,X3,X4),X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X4,X0,X2) ),
inference(ennf_transformation,[],[f21190]) ).
fof(f30242,plain,
! [X0,X1,X2,X3,X4] :
( m2_cat_1(k18_cat_2(X0,X1,X2,X3,X4),X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X4,X0,X2) ),
inference(flattening,[],[f30241]) ).
fof(f30243,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( k8_funct_2(u1_cat_1(X0),u1_cat_1(k11_cat_2(X1,X2)),k12_cat_1(X0,k11_cat_2(X1,X2),k18_cat_2(X0,X1,X2,X3,X4)),X5) = k12_cat_2(X1,X2,k8_funct_2(u1_cat_1(X0),u1_cat_1(X1),k12_cat_1(X0,X1,X3),X5),k8_funct_2(u1_cat_1(X0),u1_cat_1(X2),k12_cat_1(X0,X2,X4),X5))
| ~ m1_subset_1(X5,u1_cat_1(X0)) )
| ~ m2_cat_1(X4,X0,X2) )
| ~ m2_cat_1(X3,X0,X1) )
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f21153]) ).
fof(f30244,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( k8_funct_2(u1_cat_1(X0),u1_cat_1(k11_cat_2(X1,X2)),k12_cat_1(X0,k11_cat_2(X1,X2),k18_cat_2(X0,X1,X2,X3,X4)),X5) = k12_cat_2(X1,X2,k8_funct_2(u1_cat_1(X0),u1_cat_1(X1),k12_cat_1(X0,X1,X3),X5),k8_funct_2(u1_cat_1(X0),u1_cat_1(X2),k12_cat_1(X0,X2,X4),X5))
| ~ m1_subset_1(X5,u1_cat_1(X0)) )
| ~ m2_cat_1(X4,X0,X2) )
| ~ m2_cat_1(X3,X0,X1) )
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f30243]) ).
fof(f36480,plain,
( k13_cat_1(sK62,k11_cat_2(sK63,sK64),k10_isocat_2(sK62,sK63,sK64,sK65,sK66),sK67) != k12_cat_2(sK63,sK64,k13_cat_1(sK62,sK63,sK65,sK67),k13_cat_1(sK62,sK64,sK66,sK67))
& m1_subset_1(sK67,u1_cat_1(sK62))
& m2_cat_1(sK66,sK62,sK64)
& m2_cat_1(sK65,sK62,sK63)
& v2_cat_1(sK64)
& l1_cat_1(sK64)
& v2_cat_1(sK63)
& l1_cat_1(sK63)
& v2_cat_1(sK62)
& l1_cat_1(sK62) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK62,sK63,sK64,sK65,sK66,sK67]),skolemize(X0,sK62),skolemize(X1,sK63),skolemize(X2,sK64),skolemize(X3,sK65),skolemize(X4,sK66),skolemize(X5,sK67)],[f29364]) ).
fof(f38522,plain,
! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| k13_funct_3(X3,X4) = k10_isocat_2(X0,X1,X2,X3,X4)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X4,X0,X2) ),
inference(cnf_transformation,[],[f29246]) ).
fof(f38623,plain,
l1_cat_1(sK62),
inference(cnf_transformation,[],[f36480]) ).
fof(f38624,plain,
v2_cat_1(sK62),
inference(cnf_transformation,[],[f36480]) ).
fof(f38625,plain,
l1_cat_1(sK63),
inference(cnf_transformation,[],[f36480]) ).
fof(f38626,plain,
v2_cat_1(sK63),
inference(cnf_transformation,[],[f36480]) ).
fof(f38627,plain,
l1_cat_1(sK64),
inference(cnf_transformation,[],[f36480]) ).
fof(f38628,plain,
v2_cat_1(sK64),
inference(cnf_transformation,[],[f36480]) ).
fof(f38629,plain,
m2_cat_1(sK65,sK62,sK63),
inference(cnf_transformation,[],[f36480]) ).
fof(f38630,plain,
m2_cat_1(sK66,sK62,sK64),
inference(cnf_transformation,[],[f36480]) ).
fof(f38631,plain,
m1_subset_1(sK67,u1_cat_1(sK62)),
inference(cnf_transformation,[],[f36480]) ).
fof(f38632,plain,
k13_cat_1(sK62,k11_cat_2(sK63,sK64),k10_isocat_2(sK62,sK63,sK64,sK65,sK66),sK67) != k12_cat_2(sK63,sK64,k13_cat_1(sK62,sK63,sK65,sK67),k13_cat_1(sK62,sK64,sK66,sK67)),
inference(cnf_transformation,[],[f36480]) ).
fof(f38739,plain,
! [X0,X1] :
( l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f29417]) ).
fof(f39811,plain,
! [X0,X1] :
( v2_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f30188]) ).
fof(f39827,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,u1_cat_1(X0))
| k8_funct_2(u1_cat_1(X0),u1_cat_1(X1),k12_cat_1(X0,X1,X2),X3) = k13_cat_1(X0,X1,X2,X3)
| ~ m2_cat_1(X2,X0,X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f30200]) ).
fof(f39857,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X4,X0,X2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X0,X1)
| k13_funct_3(X3,X4) = k18_cat_2(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f30240]) ).
fof(f39858,plain,
! [X2,X3,X0,X1,X4] :
( m2_cat_1(k18_cat_2(X0,X1,X2,X3,X4),X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X4,X0,X2) ),
inference(cnf_transformation,[],[f30242]) ).
fof(f39859,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X5,u1_cat_1(X0))
| k8_funct_2(u1_cat_1(X0),u1_cat_1(k11_cat_2(X1,X2)),k12_cat_1(X0,k11_cat_2(X1,X2),k18_cat_2(X0,X1,X2,X3,X4)),X5) = k12_cat_2(X1,X2,k8_funct_2(u1_cat_1(X0),u1_cat_1(X1),k12_cat_1(X0,X1,X3),X5),k8_funct_2(u1_cat_1(X0),u1_cat_1(X2),k12_cat_1(X0,X2,X4),X5))
| ~ m2_cat_1(X4,X0,X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f30244]) ).
fof(f52844,plain,
! [X2,X3,X0,X1] :
( k13_funct_3(X0,X1) = k10_isocat_2(sK62,X2,X3,X0,X1)
| ~ l1_cat_1(sK62)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X0,sK62,X2)
| ~ m2_cat_1(X1,sK62,X3) ),
inference(resolution,[],[f38624,f38522]) ).
fof(f52851,plain,
! [X0,X1] :
( k8_funct_2(u1_cat_1(sK62),u1_cat_1(X0),k12_cat_1(sK62,X0,X1),sK67) = k13_cat_1(sK62,X0,X1,sK67)
| ~ m2_cat_1(X1,sK62,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK62)
| ~ l1_cat_1(sK62) ),
inference(resolution,[],[f39827,f38631]) ).
fof(f52856,plain,
! [X0,X1] :
( ~ v2_cat_1(sK62)
| ~ l1_cat_1(sK62)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK64)
| ~ l1_cat_1(sK64)
| ~ m2_cat_1(X1,sK62,X0)
| k13_funct_3(X1,sK66) = k18_cat_2(sK62,X0,sK64,X1,sK66) ),
inference(resolution,[],[f39857,f38630]) ).
fof(f52883,plain,
! [X2,X3,X0,X1] :
( k8_funct_2(u1_cat_1(sK62),u1_cat_1(k11_cat_2(X0,X1)),k12_cat_1(sK62,k11_cat_2(X0,X1),k18_cat_2(sK62,X0,X1,X2,X3)),sK67) = k12_cat_2(X0,X1,k8_funct_2(u1_cat_1(sK62),u1_cat_1(X0),k12_cat_1(sK62,X0,X2),sK67),k8_funct_2(u1_cat_1(sK62),u1_cat_1(X1),k12_cat_1(sK62,X1,X3),sK67))
| ~ m2_cat_1(X3,sK62,X1)
| ~ m2_cat_1(X2,sK62,X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK62)
| ~ l1_cat_1(sK62) ),
inference(resolution,[],[f39859,f38631]) ).
fof(f52963,plain,
! [X2,X3,X0,X1] :
( ~ v2_cat_1(X2)
| k13_funct_3(X0,X1) = k10_isocat_2(sK62,X2,X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X0,sK62,X2)
| ~ m2_cat_1(X1,sK62,X3) ),
inference(forward_subsumption_resolution,[],[f52844,f38623]) ).
fof(f52971,plain,
! [X0,X1] :
( k8_funct_2(u1_cat_1(sK62),u1_cat_1(X0),k12_cat_1(sK62,X0,X1),sK67) = k13_cat_1(sK62,X0,X1,sK67)
| ~ m2_cat_1(X1,sK62,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(sK62) ),
inference(forward_subsumption_resolution,[],[f52851,f38624]) ).
fof(f52973,plain,
! [X0,X1] :
( ~ l1_cat_1(sK62)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK64)
| ~ l1_cat_1(sK64)
| ~ m2_cat_1(X1,sK62,X0)
| k13_funct_3(X1,sK66) = k18_cat_2(sK62,X0,sK64,X1,sK66) ),
inference(forward_subsumption_resolution,[],[f52856,f38624]) ).
fof(f52995,plain,
! [X2,X3,X0,X1] :
( k8_funct_2(u1_cat_1(sK62),u1_cat_1(k11_cat_2(X0,X1)),k12_cat_1(sK62,k11_cat_2(X0,X1),k18_cat_2(sK62,X0,X1,X2,X3)),sK67) = k12_cat_2(X0,X1,k8_funct_2(u1_cat_1(sK62),u1_cat_1(X0),k12_cat_1(sK62,X0,X2),sK67),k8_funct_2(u1_cat_1(sK62),u1_cat_1(X1),k12_cat_1(sK62,X1,X3),sK67))
| ~ m2_cat_1(X3,sK62,X1)
| ~ m2_cat_1(X2,sK62,X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(sK62) ),
inference(forward_subsumption_resolution,[],[f52883,f38624]) ).
fof(f53036,plain,
! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ m2_cat_1(X1,sK62,X0)
| k8_funct_2(u1_cat_1(sK62),u1_cat_1(X0),k12_cat_1(sK62,X0,X1),sK67) = k13_cat_1(sK62,X0,X1,sK67)
| ~ l1_cat_1(X0) ),
inference(forward_subsumption_resolution,[],[f52971,f38623]) ).
fof(f53038,plain,
! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK64)
| ~ l1_cat_1(sK64)
| ~ m2_cat_1(X1,sK62,X0)
| k13_funct_3(X1,sK66) = k18_cat_2(sK62,X0,sK64,X1,sK66) ),
inference(forward_subsumption_resolution,[],[f52973,f38623]) ).
fof(f53048,plain,
! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ m2_cat_1(X3,sK62,X1)
| ~ m2_cat_1(X2,sK62,X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k8_funct_2(u1_cat_1(sK62),u1_cat_1(k11_cat_2(X0,X1)),k12_cat_1(sK62,k11_cat_2(X0,X1),k18_cat_2(sK62,X0,X1,X2,X3)),sK67) = k12_cat_2(X0,X1,k8_funct_2(u1_cat_1(sK62),u1_cat_1(X0),k12_cat_1(sK62,X0,X2),sK67),k8_funct_2(u1_cat_1(sK62),u1_cat_1(X1),k12_cat_1(sK62,X1,X3),sK67))
| ~ l1_cat_1(X0) ),
inference(forward_subsumption_resolution,[],[f52995,f38623]) ).
fof(f53061,plain,
! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(sK64)
| ~ m2_cat_1(X1,sK62,X0)
| k13_funct_3(X1,sK66) = k18_cat_2(sK62,X0,sK64,X1,sK66) ),
inference(forward_subsumption_resolution,[],[f53038,f38628]) ).
fof(f53064,plain,
! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,sK62,X0)
| k13_funct_3(X1,sK66) = k18_cat_2(sK62,X0,sK64,X1,sK66) ),
inference(forward_subsumption_resolution,[],[f53061,f38627]) ).
fof(f53067,plain,
! [X2,X0,X1] :
( ~ m2_cat_1(X0,sK62,k11_cat_2(X1,X2))
| k8_funct_2(u1_cat_1(sK62),u1_cat_1(k11_cat_2(X1,X2)),k12_cat_1(sK62,k11_cat_2(X1,X2),X0),sK67) = k13_cat_1(sK62,k11_cat_2(X1,X2),X0,sK67)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(resolution,[],[f53036,f39811]) ).
fof(f53069,plain,
! [X0] :
( ~ m2_cat_1(X0,sK62,sK63)
| k8_funct_2(u1_cat_1(sK62),u1_cat_1(sK63),k12_cat_1(sK62,sK63,X0),sK67) = k13_cat_1(sK62,sK63,X0,sK67)
| ~ l1_cat_1(sK63) ),
inference(resolution,[],[f53036,f38626]) ).
fof(f53070,plain,
! [X0] :
( ~ m2_cat_1(X0,sK62,sK64)
| k8_funct_2(u1_cat_1(sK62),u1_cat_1(sK64),k12_cat_1(sK62,sK64,X0),sK67) = k13_cat_1(sK62,sK64,X0,sK67)
| ~ l1_cat_1(sK64) ),
inference(resolution,[],[f53036,f38628]) ).
fof(f53071,plain,
! [X0] :
( ~ m2_cat_1(X0,sK62,sK64)
| k8_funct_2(u1_cat_1(sK62),u1_cat_1(sK64),k12_cat_1(sK62,sK64,X0),sK67) = k13_cat_1(sK62,sK64,X0,sK67) ),
inference(forward_subsumption_resolution,[],[f53070,f38627]) ).
fof(f53072,plain,
! [X0] :
( ~ m2_cat_1(X0,sK62,sK63)
| k8_funct_2(u1_cat_1(sK62),u1_cat_1(sK63),k12_cat_1(sK62,sK63,X0),sK67) = k13_cat_1(sK62,sK63,X0,sK67) ),
inference(forward_subsumption_resolution,[],[f53069,f38625]) ).
fof(f53074,plain,
! [X2,X0,X1] :
( ~ v2_cat_1(X2)
| k8_funct_2(u1_cat_1(sK62),u1_cat_1(k11_cat_2(X1,X2)),k12_cat_1(sK62,k11_cat_2(X1,X2),X0),sK67) = k13_cat_1(sK62,k11_cat_2(X1,X2),X0,sK67)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X0,sK62,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2) ),
inference(forward_subsumption_resolution,[],[f53067,f38739]) ).
fof(f53127,plain,
! [X2,X0,X1] :
( k13_funct_3(X0,X1) = k10_isocat_2(sK62,sK63,X2,X0,X1)
| ~ l1_cat_1(sK63)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X0,sK62,sK63)
| ~ m2_cat_1(X1,sK62,X2) ),
inference(resolution,[],[f52963,f38626]) ).
fof(f53130,plain,
! [X2,X0,X1] :
( ~ m2_cat_1(X0,sK62,sK63)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| k13_funct_3(X0,X1) = k10_isocat_2(sK62,sK63,X2,X0,X1)
| ~ m2_cat_1(X1,sK62,X2) ),
inference(forward_subsumption_resolution,[],[f53127,f38625]) ).
fof(f53143,plain,
! [X0] :
( ~ l1_cat_1(sK63)
| ~ m2_cat_1(X0,sK62,sK63)
| k13_funct_3(X0,sK66) = k18_cat_2(sK62,sK63,sK64,X0,sK66) ),
inference(resolution,[],[f53064,f38626]) ).
fof(f53146,plain,
! [X0] :
( ~ m2_cat_1(X0,sK62,sK63)
| k13_funct_3(X0,sK66) = k18_cat_2(sK62,sK63,sK64,X0,sK66) ),
inference(forward_subsumption_resolution,[],[f53143,f38625]) ).
fof(f53165,plain,
k13_funct_3(sK65,sK66) = k18_cat_2(sK62,sK63,sK64,sK65,sK66),
inference(resolution,[],[f53146,f38629]) ).
fof(f53217,plain,
! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k13_funct_3(sK65,X1) = k10_isocat_2(sK62,sK63,X0,sK65,X1)
| ~ m2_cat_1(X1,sK62,X0) ),
inference(resolution,[],[f53130,f38629]) ).
fof(f53284,plain,
( m2_cat_1(k13_funct_3(sK65,sK66),sK62,k11_cat_2(sK63,sK64))
| ~ v2_cat_1(sK62)
| ~ l1_cat_1(sK62)
| ~ v2_cat_1(sK63)
| ~ l1_cat_1(sK63)
| ~ v2_cat_1(sK64)
| ~ l1_cat_1(sK64)
| ~ m2_cat_1(sK65,sK62,sK63)
| ~ m2_cat_1(sK66,sK62,sK64) ),
inference(superposition,[],[f39858,f53165]) ).
fof(f53285,plain,
( m2_cat_1(k13_funct_3(sK65,sK66),sK62,k11_cat_2(sK63,sK64))
| ~ l1_cat_1(sK62)
| ~ v2_cat_1(sK63)
| ~ l1_cat_1(sK63)
| ~ v2_cat_1(sK64)
| ~ l1_cat_1(sK64)
| ~ m2_cat_1(sK65,sK62,sK63)
| ~ m2_cat_1(sK66,sK62,sK64) ),
inference(forward_subsumption_resolution,[],[f53284,f38624]) ).
fof(f53286,plain,
( m2_cat_1(k13_funct_3(sK65,sK66),sK62,k11_cat_2(sK63,sK64))
| ~ v2_cat_1(sK63)
| ~ l1_cat_1(sK63)
| ~ v2_cat_1(sK64)
| ~ l1_cat_1(sK64)
| ~ m2_cat_1(sK65,sK62,sK63)
| ~ m2_cat_1(sK66,sK62,sK64) ),
inference(forward_subsumption_resolution,[],[f53285,f38623]) ).
fof(f53287,plain,
( m2_cat_1(k13_funct_3(sK65,sK66),sK62,k11_cat_2(sK63,sK64))
| ~ l1_cat_1(sK63)
| ~ v2_cat_1(sK64)
| ~ l1_cat_1(sK64)
| ~ m2_cat_1(sK65,sK62,sK63)
| ~ m2_cat_1(sK66,sK62,sK64) ),
inference(forward_subsumption_resolution,[],[f53286,f38626]) ).
fof(f53288,plain,
( m2_cat_1(k13_funct_3(sK65,sK66),sK62,k11_cat_2(sK63,sK64))
| ~ v2_cat_1(sK64)
| ~ l1_cat_1(sK64)
| ~ m2_cat_1(sK65,sK62,sK63)
| ~ m2_cat_1(sK66,sK62,sK64) ),
inference(forward_subsumption_resolution,[],[f53287,f38625]) ).
fof(f53289,plain,
( m2_cat_1(k13_funct_3(sK65,sK66),sK62,k11_cat_2(sK63,sK64))
| ~ l1_cat_1(sK64)
| ~ m2_cat_1(sK65,sK62,sK63)
| ~ m2_cat_1(sK66,sK62,sK64) ),
inference(forward_subsumption_resolution,[],[f53288,f38628]) ).
fof(f53290,plain,
( m2_cat_1(k13_funct_3(sK65,sK66),sK62,k11_cat_2(sK63,sK64))
| ~ m2_cat_1(sK65,sK62,sK63)
| ~ m2_cat_1(sK66,sK62,sK64) ),
inference(forward_subsumption_resolution,[],[f53289,f38627]) ).
fof(f53291,plain,
( m2_cat_1(k13_funct_3(sK65,sK66),sK62,k11_cat_2(sK63,sK64))
| ~ m2_cat_1(sK66,sK62,sK64) ),
inference(forward_subsumption_resolution,[],[f53290,f38629]) ).
fof(f53292,plain,
m2_cat_1(k13_funct_3(sK65,sK66),sK62,k11_cat_2(sK63,sK64)),
inference(forward_subsumption_resolution,[],[f53291,f38630]) ).
fof(f53409,plain,
k13_cat_1(sK62,sK63,sK65,sK67) = k8_funct_2(u1_cat_1(sK62),u1_cat_1(sK63),k12_cat_1(sK62,sK63,sK65),sK67),
inference(resolution,[],[f53072,f38629]) ).
fof(f53420,plain,
k13_cat_1(sK62,sK64,sK66,sK67) = k8_funct_2(u1_cat_1(sK62),u1_cat_1(sK64),k12_cat_1(sK62,sK64,sK66),sK67),
inference(resolution,[],[f53071,f38630]) ).
fof(f53434,plain,
! [X0] :
( ~ l1_cat_1(sK64)
| k13_funct_3(sK65,X0) = k10_isocat_2(sK62,sK63,sK64,sK65,X0)
| ~ m2_cat_1(X0,sK62,sK64) ),
inference(resolution,[],[f53217,f38628]) ).
fof(f53435,plain,
! [X0] :
( ~ m2_cat_1(X0,sK62,sK64)
| k13_funct_3(sK65,X0) = k10_isocat_2(sK62,sK63,sK64,sK65,X0) ),
inference(forward_subsumption_resolution,[],[f53434,f38627]) ).
fof(f53460,plain,
k10_isocat_2(sK62,sK63,sK64,sK65,sK66) = k13_funct_3(sK65,sK66),
inference(resolution,[],[f53435,f38630]) ).
fof(f53890,plain,
! [X2,X0,X1] :
( ~ m2_cat_1(X0,sK62,X1)
| ~ m2_cat_1(X2,sK62,sK63)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k8_funct_2(u1_cat_1(sK62),u1_cat_1(k11_cat_2(sK63,X1)),k12_cat_1(sK62,k11_cat_2(sK63,X1),k18_cat_2(sK62,sK63,X1,X2,X0)),sK67) = k12_cat_2(sK63,X1,k8_funct_2(u1_cat_1(sK62),u1_cat_1(sK63),k12_cat_1(sK62,sK63,X2),sK67),k8_funct_2(u1_cat_1(sK62),u1_cat_1(X1),k12_cat_1(sK62,X1,X0),sK67))
| ~ l1_cat_1(sK63) ),
inference(resolution,[],[f53048,f38626]) ).
fof(f53893,plain,
! [X2,X0,X1] :
( ~ m2_cat_1(X2,sK62,sK63)
| ~ m2_cat_1(X0,sK62,X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k8_funct_2(u1_cat_1(sK62),u1_cat_1(k11_cat_2(sK63,X1)),k12_cat_1(sK62,k11_cat_2(sK63,X1),k18_cat_2(sK62,sK63,X1,X2,X0)),sK67) = k12_cat_2(sK63,X1,k8_funct_2(u1_cat_1(sK62),u1_cat_1(sK63),k12_cat_1(sK62,sK63,X2),sK67),k8_funct_2(u1_cat_1(sK62),u1_cat_1(X1),k12_cat_1(sK62,X1,X0),sK67)) ),
inference(forward_subsumption_resolution,[],[f53890,f38625]) ).
fof(f53984,plain,
! [X0,X1] :
( ~ m2_cat_1(X0,sK62,X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k8_funct_2(u1_cat_1(sK62),u1_cat_1(k11_cat_2(sK63,X1)),k12_cat_1(sK62,k11_cat_2(sK63,X1),k18_cat_2(sK62,sK63,X1,sK65,X0)),sK67) = k12_cat_2(sK63,X1,k8_funct_2(u1_cat_1(sK62),u1_cat_1(sK63),k12_cat_1(sK62,sK63,sK65),sK67),k8_funct_2(u1_cat_1(sK62),u1_cat_1(X1),k12_cat_1(sK62,X1,X0),sK67)) ),
inference(resolution,[],[f53893,f38629]) ).
fof(f53989,plain,
! [X0,X1] :
( ~ v2_cat_1(X1)
| ~ m2_cat_1(X0,sK62,X1)
| k8_funct_2(u1_cat_1(sK62),u1_cat_1(k11_cat_2(sK63,X1)),k12_cat_1(sK62,k11_cat_2(sK63,X1),k18_cat_2(sK62,sK63,X1,sK65,X0)),sK67) = k12_cat_2(sK63,X1,k13_cat_1(sK62,sK63,sK65,sK67),k8_funct_2(u1_cat_1(sK62),u1_cat_1(X1),k12_cat_1(sK62,X1,X0),sK67))
| ~ l1_cat_1(X1) ),
inference(forward_demodulation,[],[f53984,f53409]) ).
fof(f53999,plain,
! [X0] :
( ~ m2_cat_1(X0,sK62,sK64)
| k8_funct_2(u1_cat_1(sK62),u1_cat_1(k11_cat_2(sK63,sK64)),k12_cat_1(sK62,k11_cat_2(sK63,sK64),k18_cat_2(sK62,sK63,sK64,sK65,X0)),sK67) = k12_cat_2(sK63,sK64,k13_cat_1(sK62,sK63,sK65,sK67),k8_funct_2(u1_cat_1(sK62),u1_cat_1(sK64),k12_cat_1(sK62,sK64,X0),sK67))
| ~ l1_cat_1(sK64) ),
inference(resolution,[],[f53989,f38628]) ).
fof(f54000,plain,
! [X0] :
( ~ m2_cat_1(X0,sK62,sK64)
| k8_funct_2(u1_cat_1(sK62),u1_cat_1(k11_cat_2(sK63,sK64)),k12_cat_1(sK62,k11_cat_2(sK63,sK64),k18_cat_2(sK62,sK63,sK64,sK65,X0)),sK67) = k12_cat_2(sK63,sK64,k13_cat_1(sK62,sK63,sK65,sK67),k8_funct_2(u1_cat_1(sK62),u1_cat_1(sK64),k12_cat_1(sK62,sK64,X0),sK67)) ),
inference(forward_subsumption_resolution,[],[f53999,f38627]) ).
fof(f54017,plain,
k8_funct_2(u1_cat_1(sK62),u1_cat_1(k11_cat_2(sK63,sK64)),k12_cat_1(sK62,k11_cat_2(sK63,sK64),k18_cat_2(sK62,sK63,sK64,sK65,sK66)),sK67) = k12_cat_2(sK63,sK64,k13_cat_1(sK62,sK63,sK65,sK67),k8_funct_2(u1_cat_1(sK62),u1_cat_1(sK64),k12_cat_1(sK62,sK64,sK66),sK67)),
inference(resolution,[],[f54000,f38630]) ).
fof(f54022,plain,
k12_cat_2(sK63,sK64,k13_cat_1(sK62,sK63,sK65,sK67),k13_cat_1(sK62,sK64,sK66,sK67)) = k8_funct_2(u1_cat_1(sK62),u1_cat_1(k11_cat_2(sK63,sK64)),k12_cat_1(sK62,k11_cat_2(sK63,sK64),k18_cat_2(sK62,sK63,sK64,sK65,sK66)),sK67),
inference(forward_demodulation,[],[f54017,f53420]) ).
fof(f54025,plain,
k12_cat_2(sK63,sK64,k13_cat_1(sK62,sK63,sK65,sK67),k13_cat_1(sK62,sK64,sK66,sK67)) = k8_funct_2(u1_cat_1(sK62),u1_cat_1(k11_cat_2(sK63,sK64)),k12_cat_1(sK62,k11_cat_2(sK63,sK64),k13_funct_3(sK65,sK66)),sK67),
inference(forward_demodulation,[],[f54022,f53165]) ).
fof(f55667,plain,
! [X0,X1] :
( k8_funct_2(u1_cat_1(sK62),u1_cat_1(k11_cat_2(X0,sK64)),k12_cat_1(sK62,k11_cat_2(X0,sK64),X1),sK67) = k13_cat_1(sK62,k11_cat_2(X0,sK64),X1,sK67)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,sK62,k11_cat_2(X0,sK64))
| ~ l1_cat_1(sK64) ),
inference(resolution,[],[f53074,f38628]) ).
fof(f55668,plain,
! [X0,X1] :
( ~ v2_cat_1(X0)
| k8_funct_2(u1_cat_1(sK62),u1_cat_1(k11_cat_2(X0,sK64)),k12_cat_1(sK62,k11_cat_2(X0,sK64),X1),sK67) = k13_cat_1(sK62,k11_cat_2(X0,sK64),X1,sK67)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,sK62,k11_cat_2(X0,sK64)) ),
inference(forward_subsumption_resolution,[],[f55667,f38627]) ).
fof(f55811,plain,
! [X0] :
( k8_funct_2(u1_cat_1(sK62),u1_cat_1(k11_cat_2(sK63,sK64)),k12_cat_1(sK62,k11_cat_2(sK63,sK64),X0),sK67) = k13_cat_1(sK62,k11_cat_2(sK63,sK64),X0,sK67)
| ~ l1_cat_1(sK63)
| ~ m2_cat_1(X0,sK62,k11_cat_2(sK63,sK64)) ),
inference(resolution,[],[f55668,f38626]) ).
fof(f55814,plain,
! [X0] :
( ~ m2_cat_1(X0,sK62,k11_cat_2(sK63,sK64))
| k8_funct_2(u1_cat_1(sK62),u1_cat_1(k11_cat_2(sK63,sK64)),k12_cat_1(sK62,k11_cat_2(sK63,sK64),X0),sK67) = k13_cat_1(sK62,k11_cat_2(sK63,sK64),X0,sK67) ),
inference(forward_subsumption_resolution,[],[f55811,f38625]) ).
fof(f55817,plain,
k8_funct_2(u1_cat_1(sK62),u1_cat_1(k11_cat_2(sK63,sK64)),k12_cat_1(sK62,k11_cat_2(sK63,sK64),k13_funct_3(sK65,sK66)),sK67) = k13_cat_1(sK62,k11_cat_2(sK63,sK64),k13_funct_3(sK65,sK66),sK67),
inference(resolution,[],[f55814,f53292]) ).
fof(f56078,plain,
k12_cat_2(sK63,sK64,k13_cat_1(sK62,sK63,sK65,sK67),k13_cat_1(sK62,sK64,sK66,sK67)) = k13_cat_1(sK62,k11_cat_2(sK63,sK64),k13_funct_3(sK65,sK66),sK67),
inference(superposition,[],[f54025,f55817]) ).
fof(f56079,plain,
k13_cat_1(sK62,k11_cat_2(sK63,sK64),k10_isocat_2(sK62,sK63,sK64,sK65,sK66),sK67) != k13_cat_1(sK62,k11_cat_2(sK63,sK64),k13_funct_3(sK65,sK66),sK67),
inference(superposition,[],[f38632,f56078]) ).
fof(f56082,plain,
k13_cat_1(sK62,k11_cat_2(sK63,sK64),k13_funct_3(sK65,sK66),sK67) != k13_cat_1(sK62,k11_cat_2(sK63,sK64),k13_funct_3(sK65,sK66),sK67),
inference(forward_demodulation,[],[f56079,f53460]) ).
fof(f56083,plain,
$false,
inference(trivial_inequality_removal,[],[f56082]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT030+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 % Computer : n015.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Mon Sep 28 21:25:56 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.25 Running first-order theorem proving
% 0.10/0.25 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
% 16.74/4.67 % (3041818)Detected formulas, will run a generic FOF schedule.
% 16.74/4.67 % (3041824)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=550712944:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2982 on theBenchmark for (2982ds/134677Mi)
% 16.74/4.67 % (3041826)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3653068012:i=109:sd=1:ins=1:gsp=on:ss=axioms_2982 on theBenchmark for (2982ds/109Mi)
% 16.74/4.67 % (3041825)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=883085664:i=141695:sd=1:nm=32:gsp=on:ss=included_2982 on theBenchmark for (2982ds/141695Mi)
% 16.74/4.67 % (3041823)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=773690264:i=141193_2982 on theBenchmark for (2982ds/141193Mi)
% 16.74/4.67 % (3041827)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2700614260:i=119:av=off:ss=axioms_2982 on theBenchmark for (2982ds/119Mi)
% 16.74/4.67 % (3041828)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4081635137:s2a=on:i=139:gtg=position_2982 on theBenchmark for (2982ds/139Mi)
% 16.74/4.67 % (3041829)dis-21_1_sil=8000:lcm=predicate:random_seed=814653401:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2982 on theBenchmark for (2982ds/129Mi)
% 16.74/4.67 % (3041828)Instruction limit reached!
% 16.74/4.67 % (3041828)------------------------------
% 16.74/4.67 % (3041828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.74/4.67 % (3041828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.74/4.67 % (3041828)CaDiCaL version: 2.1.3
% 16.74/4.67 % (3041828)Termination reason: Instruction limit
% 16.74/4.67 % (3041828)Termination phase: Property scanning
% 16.74/4.67 % (3041828)Time elapsed: 0.064 s
% 16.74/4.67 % (3041828)Peak memory usage: 127 MB
% 16.74/4.67 % (3041828)Instructions burned: 141 (million)
% 16.74/4.67 % (3041826)Instruction limit reached!
% 16.74/4.67 % (3041826)------------------------------
% 16.74/4.67 % (3041826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.74/4.67 % (3041826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.74/4.67 % (3041826)CaDiCaL version: 2.1.3
% 16.74/4.67 % (3041826)Termination reason: Instruction limit
% 16.74/4.67 % (3041826)Termination phase: SInE selection
% 16.74/4.67 % (3041826)Time elapsed: 0.082 s
% 16.74/4.67 % (3041826)Peak memory usage: 126 MB
% 16.74/4.67 % (3041826)Instructions burned: 110 (million)
% 16.74/4.67 % (3041827)Instruction limit reached!
% 16.74/4.67 % (3041827)------------------------------
% 16.74/4.67 % (3041827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.74/4.67 % (3041827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.74/4.67 % (3041827)CaDiCaL version: 2.1.3
% 16.74/4.67 % (3041827)Termination reason: Instruction limit
% 16.74/4.67 % (3041827)Termination phase: SInE selection
% 16.74/4.67 % (3041827)Time elapsed: 0.094 s
% 16.74/4.67 % (3041827)Peak memory usage: 127 MB
% 16.74/4.67 % (3041827)Instructions burned: 119 (million)
% 16.74/4.67 % (3041829)Instruction limit reached!
% 16.74/4.67 % (3041829)------------------------------
% 16.74/4.67 % (3041829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.74/4.67 % (3041829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.74/4.67 % (3041829)CaDiCaL version: 2.1.3
% 16.74/4.67 % (3041829)Termination reason: Instruction limit
% 16.74/4.67 % (3041829)Termination phase: SInE selection
% 16.74/4.67 % (3041829)Time elapsed: 0.095 s
% 16.74/4.67 % (3041829)Peak memory usage: 127 MB
% 16.74/4.67 % (3041829)Instructions burned: 129 (million)
% 16.74/4.67 % (3041837)lrs+10_1_sil=8000:sp=occurrence:random_seed=1991952564:i=285:sd=3:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/285Mi)
% 16.74/4.67 % (3041838)lrs+10_1_sil=32000:urr=on:br=off:random_seed=798639699:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/157Mi)
% 16.74/4.67 % (3041839)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3101057792:i=325:sd=1:ss=axioms:sgt=32_2979 on theBenchmark for (2979ds/325Mi)
% 16.74/4.67 % (3041840)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=3592976327:s2a=on:i=248:s2at=1.23:gtg=position_2979 on theBenchmark for (2979ds/248Mi)
% 16.74/4.67 % (3041838)Instruction limit reached!
% 25.08/5.84 % (3041838)------------------------------
% 25.08/5.84 % (3041838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.08/5.84 % (3041838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.08/5.84 % (3041838)CaDiCaL version: 2.1.3
% 25.08/5.84 % (3041838)Termination reason: Instruction limit
% 25.08/5.84 % (3041838)Termination phase: Property scanning
% 25.08/5.84 % (3041838)Time elapsed: 0.070 s
% 25.08/5.84 % (3041838)Peak memory usage: 127 MB
% 25.08/5.84 % (3041838)Instructions burned: 158 (million)
% 25.08/5.84 % (3041840)Instruction limit reached!
% 25.08/5.84 % (3041840)------------------------------
% 25.08/5.84 % (3041840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.08/5.84 % (3041840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.08/5.84 % (3041840)CaDiCaL version: 2.1.3
% 25.08/5.84 % (3041840)Termination reason: Instruction limit
% 25.08/5.84 % (3041840)Termination phase: Property scanning
% 25.08/5.84 % (3041840)Time elapsed: 0.111 s
% 25.08/5.84 % (3041840)Peak memory usage: 127 MB
% 25.08/5.84 % (3041840)Instructions burned: 249 (million)
% 25.08/5.84 % (3041837)Instruction limit reached!
% 25.08/5.84 % (3041837)------------------------------
% 25.08/5.84 % (3041837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.08/5.84 % (3041837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.08/5.84 % (3041837)CaDiCaL version: 2.1.3
% 25.08/5.84 % (3041837)Termination reason: Instruction limit
% 25.08/5.84 % (3041837)Termination phase: Saturation
% 25.08/5.84 % (3041837)Time elapsed: 0.215 s
% 25.08/5.84 % (3041837)Peak memory usage: 133 MB
% 25.08/5.84 % (3041837)Instructions burned: 285 (million)
% 25.08/5.84 % (3041845)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2098266002:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2977 on theBenchmark for (2977ds/294Mi)
% 25.08/5.84 % (3041839)Instruction limit reached!
% 25.08/5.84 % (3041839)------------------------------
% 25.08/5.84 % (3041839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.08/5.84 % (3041839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.08/5.84 % (3041839)CaDiCaL version: 2.1.3
% 25.08/5.84 % (3041839)Termination reason: Instruction limit
% 25.08/5.84 % (3041839)Termination phase: Saturation
% 25.08/5.84 % (3041839)Time elapsed: 0.257 s
% 25.08/5.84 % (3041839)Peak memory usage: 133 MB
% 25.08/5.84 % (3041839)Instructions burned: 325 (million)
% 25.08/5.84 % (3041846)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3010458324:i=2350_2976 on theBenchmark for (2976ds/2350Mi)
% 25.08/5.84 % (3041847)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=798917674:cts=off:i=113:fsr=off:ss=included:sgt=4_2976 on theBenchmark for (2976ds/113Mi)
% 25.08/5.84 % (3041849)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=634212229:i=127:av=off:fsr=off:sup=off_2975 on theBenchmark for (2975ds/127Mi)
% 25.08/5.84 % (3041845)Instruction limit reached!
% 25.08/5.84 % (3041845)------------------------------
% 25.08/5.84 % (3041845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.08/5.84 % (3041845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.08/5.84 % (3041845)CaDiCaL version: 2.1.3
% 25.08/5.84 % (3041845)Termination reason: Instruction limit
% 25.08/5.84 % (3041845)Termination phase: Preprocessing 3
% 25.08/5.84 % (3041845)Time elapsed: 0.216 s
% 25.08/5.84 % (3041845)Peak memory usage: 130 MB
% 25.08/5.84 % (3041845)Instructions burned: 295 (million)
% 25.08/5.84 % (3041847)Instruction limit reached!
% 25.08/5.84 % (3041847)------------------------------
% 25.08/5.84 % (3041847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.08/5.84 % (3041847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.08/5.84 % (3041847)CaDiCaL version: 2.1.3
% 25.08/5.84 % (3041847)Termination reason: Instruction limit
% 25.08/5.84 % (3041847)Termination phase: SInE selection
% 25.08/5.84 % (3041847)Time elapsed: 0.091 s
% 25.08/5.84 % (3041847)Peak memory usage: 127 MB
% 25.08/5.84 % (3041847)Instructions burned: 114 (million)
% 25.08/5.84 % (3041849)Instruction limit reached!
% 25.08/5.84 % (3041849)------------------------------
% 25.08/5.84 % (3041849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.08/5.84 % (3041849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.08/5.84 % (3041849)CaDiCaL version: 2.1.3
% 25.08/5.84 % (3041849)Termination reason: Instruction limit
% 15.98/6.95 % (3041849)Termination phase: Preprocessing 1
% 15.98/6.95 % (3041849)Time elapsed: 0.097 s
% 15.98/6.95 % (3041849)Peak memory usage: 128 MB
% 15.98/6.95 % (3041849)Instructions burned: 127 (million)
% 15.98/6.95 % (3041853)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1298776050:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2974 on theBenchmark for (2974ds/114Mi)
% 15.98/6.95 % (3041854)lrs+10_1_sil=8000:sp=occurrence:random_seed=3892598308:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2973 on theBenchmark for (2973ds/907Mi)
% 15.98/6.95 % (3041853)Instruction limit reached!
% 15.98/6.95 % (3041853)------------------------------
% 15.98/6.95 % (3041853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.98/6.95 % (3041853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/6.95 % (3041853)CaDiCaL version: 2.1.3
% 15.98/6.95 % (3041853)Termination reason: Instruction limit
% 15.98/6.95 % (3041853)Termination phase: Property scanning
% 15.98/6.95 % (3041853)Time elapsed: 0.051 s
% 15.98/6.95 % (3041853)Peak memory usage: 127 MB
% 15.98/6.95 % (3041853)Instructions burned: 114 (million)
% 15.98/6.95 % (3041855)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=648095698:i=437:sd=1:aac=none:ss=included_2973 on theBenchmark for (2973ds/437Mi)
% 15.98/6.95 % (3041858)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1034575286:i=5202:ss=axioms:sgt=16_2971 on theBenchmark for (2971ds/5202Mi)
% 15.98/6.95 % (3041855)Refutation not found, incomplete strategy
% 15.98/6.95 % (3041855)------------------------------
% 15.98/6.95 % (3041855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.98/6.95 % (3041855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/6.95 % (3041855)CaDiCaL version: 2.1.3
% 15.98/6.95 % (3041855)Termination reason: Refutation not found, incomplete strategy
% 15.98/6.95 % (3041855)Time elapsed: 0.221 s
% 15.98/6.95 % (3041855)Peak memory usage: 134 MB
% 15.98/6.95 % (3041855)Instructions burned: 284 (million)
% 15.98/6.95 % (3041855)------------------------------
% 15.98/6.95 % (3041855)------------------------------
% 15.98/6.95 % (3041854)Instruction limit reached!
% 15.98/6.95 % (3041854)------------------------------
% 15.98/6.95 % (3041854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.98/6.95 % (3041854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/6.95 % (3041854)CaDiCaL version: 2.1.3
% 15.98/6.95 % (3041854)Termination reason: Instruction limit
% 15.98/6.95 % (3041854)Termination phase: Property scanning
% 15.98/6.95 % (3041854)Time elapsed: 0.587 s
% 15.98/6.95 % (3041854)Peak memory usage: 148 MB
% 15.98/6.95 % (3041854)Instructions burned: 909 (million)
% 15.98/6.95 % (3041863)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4064912570:st=8:i=592:sd=3:ep=RST:ss=axioms_2966 on theBenchmark for (2966ds/592Mi)
% 15.98/6.95 % (3041862)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1416179519:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2966 on theBenchmark for (2966ds/134Mi)
% 15.98/6.95 % (3041862)Instruction limit reached!
% 15.98/6.95 % (3041862)------------------------------
% 15.98/6.95 % (3041862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.98/6.95 % (3041862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/6.95 % (3041862)CaDiCaL version: 2.1.3
% 15.98/6.95 % (3041862)Termination reason: Instruction limit
% 15.98/6.95 % (3041862)Termination phase: SInE selection
% 15.98/6.95 % (3041862)Time elapsed: 0.101 s
% 15.98/6.95 % (3041862)Peak memory usage: 126 MB
% 15.98/6.95 % (3041862)Instructions burned: 135 (million)
% 15.98/6.95 % (3041867)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1983997384:st=3:i=13193:sd=3:ss=axioms_2963 on theBenchmark for (2963ds/13193Mi)
% 15.98/6.95 % (3041846)Instruction limit reached!
% 15.98/6.95 % (3041846)------------------------------
% 15.98/6.95 % (3041846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.98/6.95 % (3041846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/6.95 % (3041846)CaDiCaL version: 2.1.3
% 15.98/6.95 % (3041846)Termination reason: Instruction limit
% 15.98/6.95 % (3041846)Termination phase: Property scanning
% 15.98/6.95 % (3041846)Time elapsed: 1.409 s
% 15.98/6.95 % (3041846)Peak memory usage: 208 MB
% 15.98/6.95 % (3041846)Instructions burned: 2350 (million)
% 15.98/6.95 % (3041863)Instruction limit reached!
% 15.98/6.95 % (3041863)------------------------------
% 15.98/6.95 % (3041863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.98/6.95 % (3041863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/6.95 % (3041863)CaDiCaL version: 2.1.3
% 15.98/6.95 % (3041863)Termination reason: Instruction limit
% 15.98/6.95 % (3041863)Termination phase: Preprocessing 3
% 15.98/6.95 % (3041863)Time elapsed: 0.446 s
% 15.98/6.95 % (3041863)Peak memory usage: 146 MB
% 15.98/6.95 % (3041863)Instructions burned: 593 (million)
% 15.98/6.95 % (3041869)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=1055179752:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2961 on theBenchmark for (2961ds/125Mi)
% 15.98/6.95 % (3041869)Instruction limit reached!
% 15.98/6.95 % (3041869)------------------------------
% 15.98/6.95 % (3041869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.98/6.95 % (3041869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/6.95 % (3041869)CaDiCaL version: 2.1.3
% 15.98/6.95 % (3041869)Termination reason: Instruction limit
% 15.98/6.95 % (3041869)Termination phase: Property scanning
% 15.98/6.95 % (3041869)Time elapsed: 0.057 s
% 15.98/6.95 % (3041869)Peak memory usage: 127 MB
% 15.98/6.95 % (3041869)Instructions burned: 126 (million)
% 15.98/6.95 % (3041886)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2912832436:i=134:gtgl=5:slsql=off:gtg=exists_sym_2960 on theBenchmark for (2960ds/134Mi)
% 15.98/6.95 % (3041886)Instruction limit reached!
% 15.98/6.95 % (3041886)------------------------------
% 15.98/6.95 % (3041886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.98/6.95 % (3041886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/6.95 % (3041886)CaDiCaL version: 2.1.3
% 15.98/6.95 % (3041886)Termination reason: Instruction limit
% 15.98/6.95 % (3041886)Termination phase: Property scanning
% 15.98/6.95 % (3041886)Time elapsed: 0.062 s
% 15.98/6.95 % (3041886)Peak memory usage: 127 MB
% 15.98/6.95 % (3041886)Instructions burned: 136 (million)
% 15.98/6.95 % (3041900)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=973226330:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2958 on theBenchmark for (2958ds/141Mi)
% 15.98/6.95 % (3041914)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=277221653:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2957 on theBenchmark for (2957ds/431Mi)
% 15.98/6.95 % (3041900)Instruction limit reached!
% 15.98/6.95 % (3041900)------------------------------
% 15.98/6.95 % (3041900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.98/6.95 % (3041900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/6.95 % (3041900)CaDiCaL version: 2.1.3
% 15.98/6.95 % (3041900)Termination reason: Instruction limit
% 15.98/6.95 % (3041900)Termination phase: SInE selection
% 15.98/6.95 % (3041900)Time elapsed: 0.110 s
% 15.98/6.95 % (3041900)Peak memory usage: 127 MB
% 15.98/6.95 % (3041900)Instructions burned: 141 (million)
% 15.98/6.95 % (3041914)Refutation not found, incomplete strategy
% 15.98/6.95 % (3041914)------------------------------
% 15.98/6.95 % (3041914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.98/6.95 % (3041914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/6.95 % (3041914)CaDiCaL version: 2.1.3
% 15.98/6.95 % (3041914)Termination reason: Refutation not found, incomplete strategy
% 15.98/6.95 % (3041914)Time elapsed: 0.171 s
% 15.98/6.95 % (3041914)Peak memory usage: 132 MB
% 15.98/6.95 % (3041914)Instructions burned: 203 (million)
% 15.98/6.95 % (3041921)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=1352260525:i=6060:aac=none:ins=25_2955 on theBenchmark for (2955ds/6060Mi)
% 15.98/6.95 % (3041914)------------------------------
% 15.98/6.95 % (3041914)------------------------------
% 15.98/6.95 % (3041923)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=4089351302:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2951 on theBenchmark for (2951ds/150Mi)
% 15.98/6.95 % (3041923)Instruction limit reached!
% 15.98/6.95 % (3041923)------------------------------
% 15.98/6.95 % (3041923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.98/6.95 % (3041923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/6.95 % (3041923)CaDiCaL version: 2.1.3
% 15.98/6.95 % (3041923)Termination reason: Instruction limit
% 15.98/6.95 % (3041923)Termination phase: SInE selection
% 15.98/6.95 % (3041923)Time elapsed: 0.126 s
% 15.98/6.95 % (3041923)Peak memory usage: 127 MB
% 15.98/6.95 % (3041923)Instructions burned: 150 (million)
% 15.98/6.95 % (3041925)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=4254036655:i=14155:bd=all_2948 on theBenchmark for (2948ds/14155Mi)
% 15.98/6.95 % (3041824)First to succeed.
% 15.98/6.95 % (3041824)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3041818"
% 15.98/6.95 % (3041824)Refutation found. Thanks to Tanya!
% 15.98/6.95 % SZS status Theorem for theBenchmark
% 15.98/6.95 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/7.21 % (3041824)------------------------------
% 0.18/7.21 % (3041824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/7.21 % (3041824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/7.21 % (3041824)CaDiCaL version: 2.1.3
% 0.18/7.21 % (3041824)Termination reason: Refutation
% 0.18/7.21 % (3041824)Time elapsed: 4.036 s
% 0.18/7.21 % (3041824)Peak memory usage: 320 MB
% 0.18/7.21 % (3041824)Instructions burned: 7655 (million)
% 0.18/7.21 % (3041824)------------------------------
% 0.18/7.21 % (3041824)------------------------------
% 0.18/7.21 % (3041818)Success in time 6.267 s
% 0.18/7.21 % Vampire exiting
%------------------------------------------------------------------------------