%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CAT030+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:36:45 AM UTC 2026
% Result : Theorem 29.15s 5.27s
% Output : Refutation 29.68s
% 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(f6571,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(f8299,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(f8369,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(f8397,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(f8406,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(f8407,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(f11740,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(f11803,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(f11804,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)],[f11803]) ).
fof(f11887,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,[],[f11740]) ).
fof(f11888,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,[],[f11887]) ).
fof(f12005,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,[],[f11804]) ).
fof(f12006,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,[],[f12005]) ).
fof(f12055,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,[],[f8397]) ).
fof(f12056,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,[],[f12055]) ).
fof(f12739,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,[],[f6571]) ).
fof(f12740,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,[],[f12739]) ).
fof(f12779,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,[],[f8407]) ).
fof(f12780,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,[],[f12779]) ).
fof(f12781,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,[],[f8406]) ).
fof(f12782,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,[],[f12781]) ).
fof(f12783,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,[],[f8369]) ).
fof(f12784,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,[],[f12783]) ).
fof(f13280,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,[],[f8299]) ).
fof(f13281,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,[],[f13280]) ).
fof(f17137,plain,
( k13_cat_1(sK52,k11_cat_2(sK53,sK54),k10_isocat_2(sK52,sK53,sK54,sK55,sK56),sK57) != k12_cat_2(sK53,sK54,k13_cat_1(sK52,sK53,sK55,sK57),k13_cat_1(sK52,sK54,sK56,sK57))
& m1_subset_1(sK57,u1_cat_1(sK52))
& m2_cat_1(sK56,sK52,sK54)
& m2_cat_1(sK55,sK52,sK53)
& v2_cat_1(sK54)
& l1_cat_1(sK54)
& v2_cat_1(sK53)
& l1_cat_1(sK53)
& v2_cat_1(sK52)
& l1_cat_1(sK52) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK52,sK53,sK54,sK55,sK56,sK57]),skolemize(X0,sK52),skolemize(X1,sK53),skolemize(X2,sK54),skolemize(X3,sK55),skolemize(X4,sK56),skolemize(X5,sK57)],[f12006]) ).
fof(f18670,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,[],[f11888]) ).
fof(f18771,plain,
l1_cat_1(sK52),
inference(cnf_transformation,[],[f17137]) ).
fof(f18772,plain,
v2_cat_1(sK52),
inference(cnf_transformation,[],[f17137]) ).
fof(f18773,plain,
l1_cat_1(sK53),
inference(cnf_transformation,[],[f17137]) ).
fof(f18774,plain,
v2_cat_1(sK53),
inference(cnf_transformation,[],[f17137]) ).
fof(f18775,plain,
l1_cat_1(sK54),
inference(cnf_transformation,[],[f17137]) ).
fof(f18776,plain,
v2_cat_1(sK54),
inference(cnf_transformation,[],[f17137]) ).
fof(f18777,plain,
m2_cat_1(sK55,sK52,sK53),
inference(cnf_transformation,[],[f17137]) ).
fof(f18778,plain,
m2_cat_1(sK56,sK52,sK54),
inference(cnf_transformation,[],[f17137]) ).
fof(f18779,plain,
m1_subset_1(sK57,u1_cat_1(sK52)),
inference(cnf_transformation,[],[f17137]) ).
fof(f18780,plain,
k13_cat_1(sK52,k11_cat_2(sK53,sK54),k10_isocat_2(sK52,sK53,sK54,sK55,sK56),sK57) != k12_cat_2(sK53,sK54,k13_cat_1(sK52,sK53,sK55,sK57),k13_cat_1(sK52,sK54,sK56,sK57)),
inference(cnf_transformation,[],[f17137]) ).
fof(f18884,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,[],[f12056]) ).
fof(f19773,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,[],[f12740]) ).
fof(f19803,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,[],[f12780]) ).
fof(f19804,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,[],[f12782]) ).
fof(f19805,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,[],[f12784]) ).
fof(f20387,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,[],[f13281]) ).
fof(f29492,plain,
! [X2,X3,X0,X1] :
( k13_funct_3(X0,X1) = k10_isocat_2(sK52,X2,X3,X0,X1)
| ~ l1_cat_1(sK52)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X0,sK52,X2)
| ~ m2_cat_1(X1,sK52,X3) ),
inference(resolution,[],[f18772,f18670]) ).
fof(f29493,plain,
! [X0,X1] :
( k8_funct_2(u1_cat_1(sK52),u1_cat_1(X0),k12_cat_1(sK52,X0,X1),sK57) = k13_cat_1(sK52,X0,X1,sK57)
| ~ m2_cat_1(X1,sK52,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK52)
| ~ l1_cat_1(sK52) ),
inference(resolution,[],[f19773,f18779]) ).
fof(f29496,plain,
! [X0,X1] :
( ~ v2_cat_1(sK52)
| ~ l1_cat_1(sK52)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK54)
| ~ l1_cat_1(sK54)
| ~ m2_cat_1(X1,sK52,X0)
| k13_funct_3(X1,sK56) = k18_cat_2(sK52,X0,sK54,X1,sK56) ),
inference(resolution,[],[f19803,f18778]) ).
fof(f29527,plain,
! [X2,X3,X0,X1] :
( k8_funct_2(u1_cat_1(sK52),u1_cat_1(k11_cat_2(X0,X1)),k12_cat_1(sK52,k11_cat_2(X0,X1),k18_cat_2(sK52,X0,X1,X2,X3)),sK57) = k12_cat_2(X0,X1,k8_funct_2(u1_cat_1(sK52),u1_cat_1(X0),k12_cat_1(sK52,X0,X2),sK57),k8_funct_2(u1_cat_1(sK52),u1_cat_1(X1),k12_cat_1(sK52,X1,X3),sK57))
| ~ m2_cat_1(X3,sK52,X1)
| ~ m2_cat_1(X2,sK52,X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK52)
| ~ l1_cat_1(sK52) ),
inference(resolution,[],[f19805,f18779]) ).
fof(f29588,plain,
! [X2,X3,X0,X1] :
( ~ v2_cat_1(X2)
| k13_funct_3(X0,X1) = k10_isocat_2(sK52,X2,X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X0,sK52,X2)
| ~ m2_cat_1(X1,sK52,X3) ),
inference(forward_subsumption_resolution,[],[f29492,f18771]) ).
fof(f29590,plain,
! [X0,X1] :
( k8_funct_2(u1_cat_1(sK52),u1_cat_1(X0),k12_cat_1(sK52,X0,X1),sK57) = k13_cat_1(sK52,X0,X1,sK57)
| ~ m2_cat_1(X1,sK52,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(sK52) ),
inference(forward_subsumption_resolution,[],[f29493,f18772]) ).
fof(f29593,plain,
! [X0,X1] :
( ~ l1_cat_1(sK52)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK54)
| ~ l1_cat_1(sK54)
| ~ m2_cat_1(X1,sK52,X0)
| k13_funct_3(X1,sK56) = k18_cat_2(sK52,X0,sK54,X1,sK56) ),
inference(forward_subsumption_resolution,[],[f29496,f18772]) ).
fof(f29615,plain,
! [X2,X3,X0,X1] :
( k8_funct_2(u1_cat_1(sK52),u1_cat_1(k11_cat_2(X0,X1)),k12_cat_1(sK52,k11_cat_2(X0,X1),k18_cat_2(sK52,X0,X1,X2,X3)),sK57) = k12_cat_2(X0,X1,k8_funct_2(u1_cat_1(sK52),u1_cat_1(X0),k12_cat_1(sK52,X0,X2),sK57),k8_funct_2(u1_cat_1(sK52),u1_cat_1(X1),k12_cat_1(sK52,X1,X3),sK57))
| ~ m2_cat_1(X3,sK52,X1)
| ~ m2_cat_1(X2,sK52,X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(sK52) ),
inference(forward_subsumption_resolution,[],[f29527,f18772]) ).
fof(f29635,plain,
! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ m2_cat_1(X1,sK52,X0)
| k8_funct_2(u1_cat_1(sK52),u1_cat_1(X0),k12_cat_1(sK52,X0,X1),sK57) = k13_cat_1(sK52,X0,X1,sK57)
| ~ l1_cat_1(X0) ),
inference(forward_subsumption_resolution,[],[f29590,f18771]) ).
fof(f29638,plain,
! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK54)
| ~ l1_cat_1(sK54)
| ~ m2_cat_1(X1,sK52,X0)
| k13_funct_3(X1,sK56) = k18_cat_2(sK52,X0,sK54,X1,sK56) ),
inference(forward_subsumption_resolution,[],[f29593,f18771]) ).
fof(f29648,plain,
! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ m2_cat_1(X3,sK52,X1)
| ~ m2_cat_1(X2,sK52,X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k8_funct_2(u1_cat_1(sK52),u1_cat_1(k11_cat_2(X0,X1)),k12_cat_1(sK52,k11_cat_2(X0,X1),k18_cat_2(sK52,X0,X1,X2,X3)),sK57) = k12_cat_2(X0,X1,k8_funct_2(u1_cat_1(sK52),u1_cat_1(X0),k12_cat_1(sK52,X0,X2),sK57),k8_funct_2(u1_cat_1(sK52),u1_cat_1(X1),k12_cat_1(sK52,X1,X3),sK57))
| ~ l1_cat_1(X0) ),
inference(forward_subsumption_resolution,[],[f29615,f18771]) ).
fof(f29661,plain,
! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(sK54)
| ~ m2_cat_1(X1,sK52,X0)
| k13_funct_3(X1,sK56) = k18_cat_2(sK52,X0,sK54,X1,sK56) ),
inference(forward_subsumption_resolution,[],[f29638,f18776]) ).
fof(f29663,plain,
! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,sK52,X0)
| k13_funct_3(X1,sK56) = k18_cat_2(sK52,X0,sK54,X1,sK56) ),
inference(forward_subsumption_resolution,[],[f29661,f18775]) ).
fof(f29664,plain,
! [X2,X0,X1] :
( ~ m2_cat_1(X0,sK52,k11_cat_2(X1,X2))
| k8_funct_2(u1_cat_1(sK52),u1_cat_1(k11_cat_2(X1,X2)),k12_cat_1(sK52,k11_cat_2(X1,X2),X0),sK57) = k13_cat_1(sK52,k11_cat_2(X1,X2),X0,sK57)
| ~ 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,[],[f29635,f20387]) ).
fof(f29666,plain,
! [X0] :
( ~ m2_cat_1(X0,sK52,sK53)
| k8_funct_2(u1_cat_1(sK52),u1_cat_1(sK53),k12_cat_1(sK52,sK53,X0),sK57) = k13_cat_1(sK52,sK53,X0,sK57)
| ~ l1_cat_1(sK53) ),
inference(resolution,[],[f29635,f18774]) ).
fof(f29667,plain,
! [X0] :
( ~ m2_cat_1(X0,sK52,sK54)
| k8_funct_2(u1_cat_1(sK52),u1_cat_1(sK54),k12_cat_1(sK52,sK54,X0),sK57) = k13_cat_1(sK52,sK54,X0,sK57)
| ~ l1_cat_1(sK54) ),
inference(resolution,[],[f29635,f18776]) ).
fof(f29668,plain,
! [X0] :
( ~ m2_cat_1(X0,sK52,sK54)
| k8_funct_2(u1_cat_1(sK52),u1_cat_1(sK54),k12_cat_1(sK52,sK54,X0),sK57) = k13_cat_1(sK52,sK54,X0,sK57) ),
inference(forward_subsumption_resolution,[],[f29667,f18775]) ).
fof(f29669,plain,
! [X0] :
( ~ m2_cat_1(X0,sK52,sK53)
| k8_funct_2(u1_cat_1(sK52),u1_cat_1(sK53),k12_cat_1(sK52,sK53,X0),sK57) = k13_cat_1(sK52,sK53,X0,sK57) ),
inference(forward_subsumption_resolution,[],[f29666,f18773]) ).
fof(f29671,plain,
! [X2,X0,X1] :
( ~ v2_cat_1(X2)
| k8_funct_2(u1_cat_1(sK52),u1_cat_1(k11_cat_2(X1,X2)),k12_cat_1(sK52,k11_cat_2(X1,X2),X0),sK57) = k13_cat_1(sK52,k11_cat_2(X1,X2),X0,sK57)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X0,sK52,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2) ),
inference(forward_subsumption_resolution,[],[f29664,f18884]) ).
fof(f29698,plain,
! [X2,X0,X1] :
( k13_funct_3(X0,X1) = k10_isocat_2(sK52,sK53,X2,X0,X1)
| ~ l1_cat_1(sK53)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X0,sK52,sK53)
| ~ m2_cat_1(X1,sK52,X2) ),
inference(resolution,[],[f29588,f18774]) ).
fof(f29701,plain,
! [X2,X0,X1] :
( ~ m2_cat_1(X0,sK52,sK53)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| k13_funct_3(X0,X1) = k10_isocat_2(sK52,sK53,X2,X0,X1)
| ~ m2_cat_1(X1,sK52,X2) ),
inference(forward_subsumption_resolution,[],[f29698,f18773]) ).
fof(f29730,plain,
! [X0] :
( ~ l1_cat_1(sK53)
| ~ m2_cat_1(X0,sK52,sK53)
| k13_funct_3(X0,sK56) = k18_cat_2(sK52,sK53,sK54,X0,sK56) ),
inference(resolution,[],[f29663,f18774]) ).
fof(f29733,plain,
! [X0] :
( ~ m2_cat_1(X0,sK52,sK53)
| k13_funct_3(X0,sK56) = k18_cat_2(sK52,sK53,sK54,X0,sK56) ),
inference(forward_subsumption_resolution,[],[f29730,f18773]) ).
fof(f29752,plain,
k13_funct_3(sK55,sK56) = k18_cat_2(sK52,sK53,sK54,sK55,sK56),
inference(resolution,[],[f29733,f18777]) ).
fof(f29814,plain,
! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k13_funct_3(sK55,X1) = k10_isocat_2(sK52,sK53,X0,sK55,X1)
| ~ m2_cat_1(X1,sK52,X0) ),
inference(resolution,[],[f29701,f18777]) ).
fof(f29892,plain,
( m2_cat_1(k13_funct_3(sK55,sK56),sK52,k11_cat_2(sK53,sK54))
| ~ v2_cat_1(sK52)
| ~ l1_cat_1(sK52)
| ~ v2_cat_1(sK53)
| ~ l1_cat_1(sK53)
| ~ v2_cat_1(sK54)
| ~ l1_cat_1(sK54)
| ~ m2_cat_1(sK55,sK52,sK53)
| ~ m2_cat_1(sK56,sK52,sK54) ),
inference(superposition,[],[f19804,f29752]) ).
fof(f29893,plain,
( m2_cat_1(k13_funct_3(sK55,sK56),sK52,k11_cat_2(sK53,sK54))
| ~ l1_cat_1(sK52)
| ~ v2_cat_1(sK53)
| ~ l1_cat_1(sK53)
| ~ v2_cat_1(sK54)
| ~ l1_cat_1(sK54)
| ~ m2_cat_1(sK55,sK52,sK53)
| ~ m2_cat_1(sK56,sK52,sK54) ),
inference(forward_subsumption_resolution,[],[f29892,f18772]) ).
fof(f29894,plain,
( m2_cat_1(k13_funct_3(sK55,sK56),sK52,k11_cat_2(sK53,sK54))
| ~ v2_cat_1(sK53)
| ~ l1_cat_1(sK53)
| ~ v2_cat_1(sK54)
| ~ l1_cat_1(sK54)
| ~ m2_cat_1(sK55,sK52,sK53)
| ~ m2_cat_1(sK56,sK52,sK54) ),
inference(forward_subsumption_resolution,[],[f29893,f18771]) ).
fof(f29895,plain,
( m2_cat_1(k13_funct_3(sK55,sK56),sK52,k11_cat_2(sK53,sK54))
| ~ l1_cat_1(sK53)
| ~ v2_cat_1(sK54)
| ~ l1_cat_1(sK54)
| ~ m2_cat_1(sK55,sK52,sK53)
| ~ m2_cat_1(sK56,sK52,sK54) ),
inference(forward_subsumption_resolution,[],[f29894,f18774]) ).
fof(f29896,plain,
( m2_cat_1(k13_funct_3(sK55,sK56),sK52,k11_cat_2(sK53,sK54))
| ~ v2_cat_1(sK54)
| ~ l1_cat_1(sK54)
| ~ m2_cat_1(sK55,sK52,sK53)
| ~ m2_cat_1(sK56,sK52,sK54) ),
inference(forward_subsumption_resolution,[],[f29895,f18773]) ).
fof(f29897,plain,
( m2_cat_1(k13_funct_3(sK55,sK56),sK52,k11_cat_2(sK53,sK54))
| ~ l1_cat_1(sK54)
| ~ m2_cat_1(sK55,sK52,sK53)
| ~ m2_cat_1(sK56,sK52,sK54) ),
inference(forward_subsumption_resolution,[],[f29896,f18776]) ).
fof(f29898,plain,
( m2_cat_1(k13_funct_3(sK55,sK56),sK52,k11_cat_2(sK53,sK54))
| ~ m2_cat_1(sK55,sK52,sK53)
| ~ m2_cat_1(sK56,sK52,sK54) ),
inference(forward_subsumption_resolution,[],[f29897,f18775]) ).
fof(f29899,plain,
( m2_cat_1(k13_funct_3(sK55,sK56),sK52,k11_cat_2(sK53,sK54))
| ~ m2_cat_1(sK56,sK52,sK54) ),
inference(forward_subsumption_resolution,[],[f29898,f18777]) ).
fof(f29900,plain,
m2_cat_1(k13_funct_3(sK55,sK56),sK52,k11_cat_2(sK53,sK54)),
inference(forward_subsumption_resolution,[],[f29899,f18778]) ).
fof(f29982,plain,
k13_cat_1(sK52,sK53,sK55,sK57) = k8_funct_2(u1_cat_1(sK52),u1_cat_1(sK53),k12_cat_1(sK52,sK53,sK55),sK57),
inference(resolution,[],[f29669,f18777]) ).
fof(f29993,plain,
k13_cat_1(sK52,sK54,sK56,sK57) = k8_funct_2(u1_cat_1(sK52),u1_cat_1(sK54),k12_cat_1(sK52,sK54,sK56),sK57),
inference(resolution,[],[f29668,f18778]) ).
fof(f30023,plain,
! [X0] :
( ~ l1_cat_1(sK54)
| k13_funct_3(sK55,X0) = k10_isocat_2(sK52,sK53,sK54,sK55,X0)
| ~ m2_cat_1(X0,sK52,sK54) ),
inference(resolution,[],[f29814,f18776]) ).
fof(f30024,plain,
! [X0] :
( ~ m2_cat_1(X0,sK52,sK54)
| k13_funct_3(sK55,X0) = k10_isocat_2(sK52,sK53,sK54,sK55,X0) ),
inference(forward_subsumption_resolution,[],[f30023,f18775]) ).
fof(f30082,plain,
k10_isocat_2(sK52,sK53,sK54,sK55,sK56) = k13_funct_3(sK55,sK56),
inference(resolution,[],[f30024,f18778]) ).
fof(f30630,plain,
! [X2,X0,X1] :
( ~ m2_cat_1(X0,sK52,X1)
| ~ m2_cat_1(X2,sK52,sK53)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k8_funct_2(u1_cat_1(sK52),u1_cat_1(k11_cat_2(sK53,X1)),k12_cat_1(sK52,k11_cat_2(sK53,X1),k18_cat_2(sK52,sK53,X1,X2,X0)),sK57) = k12_cat_2(sK53,X1,k8_funct_2(u1_cat_1(sK52),u1_cat_1(sK53),k12_cat_1(sK52,sK53,X2),sK57),k8_funct_2(u1_cat_1(sK52),u1_cat_1(X1),k12_cat_1(sK52,X1,X0),sK57))
| ~ l1_cat_1(sK53) ),
inference(resolution,[],[f29648,f18774]) ).
fof(f30633,plain,
! [X2,X0,X1] :
( ~ m2_cat_1(X2,sK52,sK53)
| ~ m2_cat_1(X0,sK52,X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k8_funct_2(u1_cat_1(sK52),u1_cat_1(k11_cat_2(sK53,X1)),k12_cat_1(sK52,k11_cat_2(sK53,X1),k18_cat_2(sK52,sK53,X1,X2,X0)),sK57) = k12_cat_2(sK53,X1,k8_funct_2(u1_cat_1(sK52),u1_cat_1(sK53),k12_cat_1(sK52,sK53,X2),sK57),k8_funct_2(u1_cat_1(sK52),u1_cat_1(X1),k12_cat_1(sK52,X1,X0),sK57)) ),
inference(forward_subsumption_resolution,[],[f30630,f18773]) ).
fof(f30746,plain,
! [X0,X1] :
( ~ m2_cat_1(X0,sK52,X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k8_funct_2(u1_cat_1(sK52),u1_cat_1(k11_cat_2(sK53,X1)),k12_cat_1(sK52,k11_cat_2(sK53,X1),k18_cat_2(sK52,sK53,X1,sK55,X0)),sK57) = k12_cat_2(sK53,X1,k8_funct_2(u1_cat_1(sK52),u1_cat_1(sK53),k12_cat_1(sK52,sK53,sK55),sK57),k8_funct_2(u1_cat_1(sK52),u1_cat_1(X1),k12_cat_1(sK52,X1,X0),sK57)) ),
inference(resolution,[],[f30633,f18777]) ).
fof(f30751,plain,
! [X0,X1] :
( ~ v2_cat_1(X1)
| ~ m2_cat_1(X0,sK52,X1)
| k8_funct_2(u1_cat_1(sK52),u1_cat_1(k11_cat_2(sK53,X1)),k12_cat_1(sK52,k11_cat_2(sK53,X1),k18_cat_2(sK52,sK53,X1,sK55,X0)),sK57) = k12_cat_2(sK53,X1,k13_cat_1(sK52,sK53,sK55,sK57),k8_funct_2(u1_cat_1(sK52),u1_cat_1(X1),k12_cat_1(sK52,X1,X0),sK57))
| ~ l1_cat_1(X1) ),
inference(forward_demodulation,[],[f30746,f29982]) ).
fof(f30761,plain,
! [X0] :
( ~ m2_cat_1(X0,sK52,sK54)
| k8_funct_2(u1_cat_1(sK52),u1_cat_1(k11_cat_2(sK53,sK54)),k12_cat_1(sK52,k11_cat_2(sK53,sK54),k18_cat_2(sK52,sK53,sK54,sK55,X0)),sK57) = k12_cat_2(sK53,sK54,k13_cat_1(sK52,sK53,sK55,sK57),k8_funct_2(u1_cat_1(sK52),u1_cat_1(sK54),k12_cat_1(sK52,sK54,X0),sK57))
| ~ l1_cat_1(sK54) ),
inference(resolution,[],[f30751,f18776]) ).
fof(f30762,plain,
! [X0] :
( ~ m2_cat_1(X0,sK52,sK54)
| k8_funct_2(u1_cat_1(sK52),u1_cat_1(k11_cat_2(sK53,sK54)),k12_cat_1(sK52,k11_cat_2(sK53,sK54),k18_cat_2(sK52,sK53,sK54,sK55,X0)),sK57) = k12_cat_2(sK53,sK54,k13_cat_1(sK52,sK53,sK55,sK57),k8_funct_2(u1_cat_1(sK52),u1_cat_1(sK54),k12_cat_1(sK52,sK54,X0),sK57)) ),
inference(forward_subsumption_resolution,[],[f30761,f18775]) ).
fof(f30766,plain,
k8_funct_2(u1_cat_1(sK52),u1_cat_1(k11_cat_2(sK53,sK54)),k12_cat_1(sK52,k11_cat_2(sK53,sK54),k18_cat_2(sK52,sK53,sK54,sK55,sK56)),sK57) = k12_cat_2(sK53,sK54,k13_cat_1(sK52,sK53,sK55,sK57),k8_funct_2(u1_cat_1(sK52),u1_cat_1(sK54),k12_cat_1(sK52,sK54,sK56),sK57)),
inference(resolution,[],[f30762,f18778]) ).
fof(f30771,plain,
k12_cat_2(sK53,sK54,k13_cat_1(sK52,sK53,sK55,sK57),k13_cat_1(sK52,sK54,sK56,sK57)) = k8_funct_2(u1_cat_1(sK52),u1_cat_1(k11_cat_2(sK53,sK54)),k12_cat_1(sK52,k11_cat_2(sK53,sK54),k18_cat_2(sK52,sK53,sK54,sK55,sK56)),sK57),
inference(forward_demodulation,[],[f30766,f29993]) ).
fof(f30774,plain,
k12_cat_2(sK53,sK54,k13_cat_1(sK52,sK53,sK55,sK57),k13_cat_1(sK52,sK54,sK56,sK57)) = k8_funct_2(u1_cat_1(sK52),u1_cat_1(k11_cat_2(sK53,sK54)),k12_cat_1(sK52,k11_cat_2(sK53,sK54),k13_funct_3(sK55,sK56)),sK57),
inference(forward_demodulation,[],[f30771,f29752]) ).
fof(f31480,plain,
! [X0,X1] :
( k8_funct_2(u1_cat_1(sK52),u1_cat_1(k11_cat_2(X0,sK54)),k12_cat_1(sK52,k11_cat_2(X0,sK54),X1),sK57) = k13_cat_1(sK52,k11_cat_2(X0,sK54),X1,sK57)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,sK52,k11_cat_2(X0,sK54))
| ~ l1_cat_1(sK54) ),
inference(resolution,[],[f29671,f18776]) ).
fof(f31481,plain,
! [X0,X1] :
( ~ v2_cat_1(X0)
| k8_funct_2(u1_cat_1(sK52),u1_cat_1(k11_cat_2(X0,sK54)),k12_cat_1(sK52,k11_cat_2(X0,sK54),X1),sK57) = k13_cat_1(sK52,k11_cat_2(X0,sK54),X1,sK57)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,sK52,k11_cat_2(X0,sK54)) ),
inference(forward_subsumption_resolution,[],[f31480,f18775]) ).
fof(f31549,plain,
! [X0] :
( k8_funct_2(u1_cat_1(sK52),u1_cat_1(k11_cat_2(sK53,sK54)),k12_cat_1(sK52,k11_cat_2(sK53,sK54),X0),sK57) = k13_cat_1(sK52,k11_cat_2(sK53,sK54),X0,sK57)
| ~ l1_cat_1(sK53)
| ~ m2_cat_1(X0,sK52,k11_cat_2(sK53,sK54)) ),
inference(resolution,[],[f31481,f18774]) ).
fof(f31552,plain,
! [X0] :
( ~ m2_cat_1(X0,sK52,k11_cat_2(sK53,sK54))
| k8_funct_2(u1_cat_1(sK52),u1_cat_1(k11_cat_2(sK53,sK54)),k12_cat_1(sK52,k11_cat_2(sK53,sK54),X0),sK57) = k13_cat_1(sK52,k11_cat_2(sK53,sK54),X0,sK57) ),
inference(forward_subsumption_resolution,[],[f31549,f18773]) ).
fof(f31622,plain,
k8_funct_2(u1_cat_1(sK52),u1_cat_1(k11_cat_2(sK53,sK54)),k12_cat_1(sK52,k11_cat_2(sK53,sK54),k13_funct_3(sK55,sK56)),sK57) = k13_cat_1(sK52,k11_cat_2(sK53,sK54),k13_funct_3(sK55,sK56),sK57),
inference(resolution,[],[f31552,f29900]) ).
fof(f31848,plain,
k12_cat_2(sK53,sK54,k13_cat_1(sK52,sK53,sK55,sK57),k13_cat_1(sK52,sK54,sK56,sK57)) = k13_cat_1(sK52,k11_cat_2(sK53,sK54),k13_funct_3(sK55,sK56),sK57),
inference(superposition,[],[f30774,f31622]) ).
fof(f31849,plain,
k13_cat_1(sK52,k11_cat_2(sK53,sK54),k10_isocat_2(sK52,sK53,sK54,sK55,sK56),sK57) != k13_cat_1(sK52,k11_cat_2(sK53,sK54),k13_funct_3(sK55,sK56),sK57),
inference(superposition,[],[f18780,f31848]) ).
fof(f31852,plain,
k13_cat_1(sK52,k11_cat_2(sK53,sK54),k13_funct_3(sK55,sK56),sK57) != k13_cat_1(sK52,k11_cat_2(sK53,sK54),k13_funct_3(sK55,sK56),sK57),
inference(forward_demodulation,[],[f31849,f30082]) ).
fof(f31853,plain,
$false,
inference(trivial_inequality_removal,[],[f31852]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT030+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n009.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 21:21:46 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 15.00/3.23 % (3496170)Detected formulas, will run a generic FOF schedule.
% 15.00/3.23 % (3496226)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4230634771:i=119:av=off:ss=axioms_2994 on theBenchmark for (2994ds/119Mi)
% 15.00/3.23 % (3496224)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=2749694337:i=141695:sd=1:nm=32:gsp=on:ss=included_2994 on theBenchmark for (2994ds/141695Mi)
% 15.00/3.23 % (3496223)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=3874113074:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2994 on theBenchmark for (2994ds/134677Mi)
% 15.00/3.23 % (3496227)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2780332889:s2a=on:i=139:gtg=position_2994 on theBenchmark for (2994ds/139Mi)
% 15.00/3.23 % (3496225)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1582045702:i=109:sd=1:ins=1:gsp=on:ss=axioms_2994 on theBenchmark for (2994ds/109Mi)
% 15.00/3.23 % (3496222)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=2972994840:i=141193_2994 on theBenchmark for (2994ds/141193Mi)
% 15.00/3.23 % (3496228)dis-21_1_sil=8000:lcm=predicate:random_seed=1642989165:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2994 on theBenchmark for (2994ds/129Mi)
% 15.00/3.23 % (3496226)Instruction limit reached!
% 15.00/3.23 % (3496226)------------------------------
% 15.00/3.23 % (3496226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.00/3.23 % (3496226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.00/3.23 % (3496226)CaDiCaL version: 2.1.3
% 15.00/3.23 % (3496226)Termination reason: Instruction limit
% 15.00/3.23 % (3496226)Termination phase: Function definition elimination
% 15.00/3.23 % (3496226)Time elapsed: 0.053 s
% 15.00/3.23 % (3496226)Peak memory usage: 103 MB
% 15.00/3.23 % (3496226)Instructions burned: 120 (million)
% 15.00/3.23 % (3496227)Instruction limit reached!
% 15.00/3.23 % (3496227)------------------------------
% 15.00/3.23 % (3496227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.00/3.23 % (3496227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.00/3.23 % (3496227)CaDiCaL version: 2.1.3
% 15.00/3.23 % (3496227)Termination reason: Instruction limit
% 15.00/3.23 % (3496227)Termination phase: Property scanning
% 15.00/3.23 % (3496227)Time elapsed: 0.059 s
% 15.00/3.23 % (3496227)Peak memory usage: 100 MB
% 15.00/3.23 % (3496227)Instructions burned: 141 (million)
% 15.00/3.23 % (3496225)Refutation not found, incomplete strategy
% 15.00/3.23 % (3496225)------------------------------
% 15.00/3.23 % (3496225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.00/3.23 % (3496225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.00/3.23 % (3496225)CaDiCaL version: 2.1.3
% 15.00/3.23 % (3496225)Termination reason: Refutation not found, incomplete strategy
% 15.00/3.23 % (3496225)Time elapsed: 0.063 s
% 15.00/3.23 % (3496225)Peak memory usage: 104 MB
% 15.00/3.23 % (3496225)Instructions burned: 76 (million)
% 15.00/3.23 % (3496228)Instruction limit reached!
% 15.00/3.23 % (3496228)------------------------------
% 15.00/3.23 % (3496228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.00/3.23 % (3496228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.00/3.23 % (3496228)CaDiCaL version: 2.1.3
% 15.00/3.23 % (3496228)Termination reason: Instruction limit
% 15.00/3.23 % (3496228)Termination phase: Preprocessing 1
% 15.00/3.23 % (3496228)Time elapsed: 0.099 s
% 15.00/3.23 % (3496228)Peak memory usage: 101 MB
% 15.00/3.23 % (3496228)Instructions burned: 129 (million)
% 15.00/3.23 % (3496236)lrs+10_1_sil=8000:sp=occurrence:random_seed=897838730:i=285:sd=3:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/285Mi)
% 15.00/3.23 % (3496237)lrs+10_1_sil=32000:urr=on:br=off:random_seed=454800929:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/157Mi)
% 15.00/3.23 % (3496236)Instruction limit reached!
% 15.00/3.23 % (3496236)------------------------------
% 15.00/3.23 % (3496236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.00/3.23 % (3496236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.00/3.23 % (3496236)CaDiCaL version: 2.1.3
% 15.00/3.23 % (3496236)Termination reason: Instruction limit
% 22.69/4.31 % (3496236)Termination phase: Saturation
% 22.69/4.31 % (3496236)Time elapsed: 0.110 s
% 22.69/4.31 % (3496236)Peak memory usage: 107 MB
% 22.69/4.31 % (3496236)Instructions burned: 285 (million)
% 22.69/4.31 % (3496238)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2554154094:i=325:sd=1:ss=axioms:sgt=32_2991 on theBenchmark for (2991ds/325Mi)
% 22.69/4.31 % (3496237)Instruction limit reached!
% 22.69/4.31 % (3496237)------------------------------
% 22.69/4.31 % (3496237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.69/4.31 % (3496237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.69/4.31 % (3496237)CaDiCaL version: 2.1.3
% 22.69/4.31 % (3496237)Termination reason: Instruction limit
% 22.69/4.31 % (3496237)Termination phase: SInE selection
% 22.69/4.31 % (3496237)Time elapsed: 0.070 s
% 22.69/4.31 % (3496237)Peak memory usage: 100 MB
% 22.69/4.31 % (3496237)Instructions burned: 157 (million)
% 22.69/4.31 % (3496225)------------------------------
% 22.69/4.31 % (3496225)------------------------------
% 22.69/4.31 % (3496241)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=3511126553:s2a=on:i=248:s2at=1.23:gtg=position_2990 on theBenchmark for (2990ds/248Mi)
% 22.69/4.31 % (3496243)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1802697806:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2989 on theBenchmark for (2989ds/294Mi)
% 22.69/4.31 % (3496241)Instruction limit reached!
% 22.69/4.31 % (3496241)------------------------------
% 22.69/4.31 % (3496241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.69/4.31 % (3496241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.69/4.31 % (3496241)CaDiCaL version: 2.1.3
% 22.69/4.31 % (3496241)Termination reason: Instruction limit
% 22.69/4.31 % (3496241)Termination phase: Preprocessing 1
% 22.69/4.31 % (3496241)Time elapsed: 0.079 s
% 22.69/4.31 % (3496241)Peak memory usage: 101 MB
% 22.69/4.31 % (3496241)Instructions burned: 249 (million)
% 22.69/4.31 % (3496244)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=172370465:i=2350_2989 on theBenchmark for (2989ds/2350Mi)
% 22.69/4.31 % (3496238)Instruction limit reached!
% 22.69/4.31 % (3496238)------------------------------
% 22.69/4.31 % (3496238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.69/4.31 % (3496238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.69/4.31 % (3496238)CaDiCaL version: 2.1.3
% 22.69/4.31 % (3496238)Termination reason: Instruction limit
% 22.69/4.31 % (3496238)Termination phase: Saturation
% 22.69/4.31 % (3496238)Time elapsed: 0.224 s
% 22.69/4.31 % (3496238)Peak memory usage: 107 MB
% 22.69/4.31 % (3496238)Instructions burned: 326 (million)
% 22.69/4.31 % (3496247)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4288359903:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 22.69/4.31 % (3496247)Instruction limit reached!
% 22.69/4.31 % (3496247)------------------------------
% 22.69/4.31 % (3496247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.69/4.31 % (3496247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.69/4.31 % (3496247)CaDiCaL version: 2.1.3
% 22.69/4.31 % (3496247)Termination reason: Instruction limit
% 22.69/4.31 % (3496247)Termination phase: Preprocessing 3
% 22.69/4.31 % (3496247)Time elapsed: 0.056 s
% 22.69/4.31 % (3496247)Peak memory usage: 103 MB
% 22.69/4.31 % (3496247)Instructions burned: 117 (million)
% 22.69/4.31 % (3496243)Instruction limit reached!
% 22.69/4.31 % (3496243)------------------------------
% 22.69/4.31 % (3496243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.69/4.31 % (3496243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.69/4.31 % (3496243)CaDiCaL version: 2.1.3
% 22.69/4.31 % (3496243)Termination reason: Instruction limit
% 22.69/4.31 % (3496243)Termination phase: Saturation
% 22.69/4.31 % (3496243)Time elapsed: 0.186 s
% 22.69/4.31 % (3496243)Peak memory usage: 108 MB
% 22.69/4.31 % (3496243)Instructions burned: 295 (million)
% 22.69/4.31 % (3496249)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=780632872:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 22.69/4.31 % (3496251)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=824138210:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 22.69/4.31 % (3496249)Instruction limit reached!
% 22.69/4.31 % (3496249)------------------------------
% 29.15/5.27 % (3496249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.15/5.27 % (3496249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.15/5.27 % (3496249)CaDiCaL version: 2.1.3
% 29.15/5.27 % (3496249)Termination reason: Instruction limit
% 29.15/5.27 % (3496249)Termination phase: Preprocessing 2
% 29.15/5.27 % (3496249)Time elapsed: 0.104 s
% 29.15/5.27 % (3496249)Peak memory usage: 107 MB
% 29.15/5.27 % (3496249)Instructions burned: 128 (million)
% 29.15/5.27 % (3496251)Instruction limit reached!
% 29.15/5.27 % (3496251)------------------------------
% 29.15/5.27 % (3496251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.15/5.27 % (3496251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.15/5.27 % (3496251)CaDiCaL version: 2.1.3
% 29.15/5.27 % (3496251)Termination reason: Instruction limit
% 29.15/5.27 % (3496251)Termination phase: Property scanning
% 29.15/5.27 % (3496251)Time elapsed: 0.027 s
% 29.15/5.27 % (3496251)Peak memory usage: 100 MB
% 29.15/5.27 % (3496251)Instructions burned: 118 (million)
% 29.15/5.27 % (3496252)lrs+10_1_sil=8000:sp=occurrence:random_seed=2026669943:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 29.15/5.27 % (3496256)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2424228957:i=5202:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/5202Mi)
% 29.15/5.27 % (3496255)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4294786910:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 29.15/5.27 % (3496255)Refutation not found, incomplete strategy
% 29.15/5.27 % (3496255)------------------------------
% 29.15/5.27 % (3496255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.15/5.27 % (3496255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.15/5.27 % (3496255)CaDiCaL version: 2.1.3
% 29.15/5.27 % (3496255)Termination reason: Refutation not found, incomplete strategy
% 29.15/5.27 % (3496255)Time elapsed: 0.111 s
% 29.15/5.27 % (3496255)Peak memory usage: 106 MB
% 29.15/5.27 % (3496255)Instructions burned: 163 (million)
% 29.15/5.27 % (3496255)------------------------------
% 29.15/5.27 % (3496255)------------------------------
% 29.15/5.27 % (3496252)Instruction limit reached!
% 29.15/5.27 % (3496252)------------------------------
% 29.15/5.27 % (3496252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.15/5.27 % (3496252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.15/5.27 % (3496252)CaDiCaL version: 2.1.3
% 29.15/5.27 % (3496252)Termination reason: Instruction limit
% 29.15/5.27 % (3496252)Termination phase: Saturation
% 29.15/5.27 % (3496252)Time elapsed: 0.512 s
% 29.15/5.27 % (3496252)Peak memory usage: 120 MB
% 29.15/5.27 % (3496252)Instructions burned: 908 (million)
% 29.15/5.27 % (3496260)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1418860079:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2979 on theBenchmark for (2979ds/134Mi)
% 29.15/5.27 % (3496261)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3496963795:st=8:i=592:sd=3:ep=RST:ss=axioms_2979 on theBenchmark for (2979ds/592Mi)
% 29.15/5.27 % (3496260)Instruction limit reached!
% 29.15/5.27 % (3496260)------------------------------
% 29.15/5.27 % (3496260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.15/5.27 % (3496260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.15/5.27 % (3496260)CaDiCaL version: 2.1.3
% 29.15/5.27 % (3496260)Termination reason: Instruction limit
% 29.15/5.27 % (3496260)Termination phase: Function definition elimination
% 29.15/5.27 % (3496260)Time elapsed: 0.103 s
% 29.15/5.27 % (3496260)Peak memory usage: 104 MB
% 29.15/5.27 % (3496260)Instructions burned: 134 (million)
% 29.15/5.27 % (3496264)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3020455981:st=3:i=13193:sd=3:ss=axioms_2977 on theBenchmark for (2977ds/13193Mi)
% 29.15/5.27 % (3496261)Instruction limit reached!
% 29.15/5.27 % (3496261)------------------------------
% 29.15/5.27 % (3496261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.15/5.27 % (3496261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.15/5.27 % (3496261)CaDiCaL version: 2.1.3
% 29.15/5.27 % (3496261)Termination reason: Instruction limit
% 29.15/5.27 % (3496261)Termination phase: Function definition elimination
% 29.15/5.27 % (3496261)Time elapsed: 0.375 s
% 29.15/5.27 % (3496261)Peak memory usage: 117 MB
% 29.15/5.27 % (3496261)Instructions burned: 593 (million)
% 29.15/5.27 % (3496266)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=812002673:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/125Mi)
% 29.15/5.27 % (3496244)Instruction limit reached!
% 29.15/5.27 % (3496244)------------------------------
% 29.15/5.27 % (3496244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.15/5.27 % (3496244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.15/5.27 % (3496244)CaDiCaL version: 2.1.3
% 29.15/5.27 % (3496244)Termination reason: Instruction limit
% 29.15/5.27 % (3496244)Termination phase: Saturation
% 29.15/5.27 % (3496244)Time elapsed: 1.560 s
% 29.15/5.27 % (3496244)Peak memory usage: 263 MB
% 29.15/5.27 % (3496244)Instructions burned: 2350 (million)
% 29.15/5.27 % (3496266)Instruction limit reached!
% 29.15/5.27 % (3496266)------------------------------
% 29.15/5.27 % (3496266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.15/5.27 % (3496266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.15/5.27 % (3496266)CaDiCaL version: 2.1.3
% 29.15/5.27 % (3496266)Termination reason: Instruction limit
% 29.15/5.27 % (3496266)Termination phase: Property scanning
% 29.15/5.27 % (3496266)Time elapsed: 0.054 s
% 29.15/5.27 % (3496266)Peak memory usage: 100 MB
% 29.15/5.27 % (3496266)Instructions burned: 126 (million)
% 29.15/5.27 % (3496268)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3357258345:i=134:gtgl=5:slsql=off:gtg=exists_sym_2972 on theBenchmark for (2972ds/134Mi)
% 29.15/5.27 % (3496269)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2018128072:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/141Mi)
% 29.15/5.27 % (3496268)Instruction limit reached!
% 29.15/5.27 % (3496268)------------------------------
% 29.15/5.27 % (3496268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.15/5.27 % (3496268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.15/5.27 % (3496268)CaDiCaL version: 2.1.3
% 29.15/5.27 % (3496268)Termination reason: Instruction limit
% 29.15/5.27 % (3496268)Termination phase: Property scanning
% 29.15/5.27 % (3496268)Time elapsed: 0.059 s
% 29.15/5.27 % (3496268)Peak memory usage: 100 MB
% 29.15/5.27 % (3496268)Instructions burned: 135 (million)
% 29.15/5.27 % (3496269)Instruction limit reached!
% 29.15/5.27 % (3496269)------------------------------
% 29.15/5.27 % (3496269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.15/5.27 % (3496269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.15/5.27 % (3496269)CaDiCaL version: 2.1.3
% 29.15/5.27 % (3496269)Termination reason: Instruction limit
% 29.15/5.27 % (3496269)Termination phase: Saturation
% 29.15/5.27 % (3496269)Time elapsed: 0.104 s
% 29.15/5.27 % (3496269)Peak memory usage: 105 MB
% 29.15/5.27 % (3496269)Instructions burned: 141 (million)
% 29.15/5.27 % (3496272)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2765625335:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2969 on theBenchmark for (2969ds/431Mi)
% 29.15/5.27 % (3496272)Refutation not found, incomplete strategy
% 29.15/5.27 % (3496272)------------------------------
% 29.15/5.27 % (3496272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.15/5.27 % (3496272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.15/5.27 % (3496272)CaDiCaL version: 2.1.3
% 29.15/5.27 % (3496272)Termination reason: Refutation not found, incomplete strategy
% 29.15/5.27 % (3496272)Time elapsed: 0.070 s
% 29.15/5.27 % (3496272)Peak memory usage: 104 MB
% 29.15/5.27 % (3496272)Instructions burned: 84 (million)
% 29.15/5.27 % (3496273)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=2959509887:i=6060:aac=none:ins=25_2969 on theBenchmark for (2969ds/6060Mi)
% 29.15/5.27 % (3496272)------------------------------
% 29.15/5.27 % (3496272)------------------------------
% 29.15/5.27 % (3496256)Instruction limit reached!
% 29.15/5.27 % (3496256)------------------------------
% 29.15/5.27 % (3496256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.15/5.27 % (3496256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.15/5.27 % (3496256)CaDiCaL version: 2.1.3
% 29.15/5.27 % (3496256)Termination reason: Instruction limit
% 29.15/5.27 % (3496256)Termination phase: Saturation
% 29.15/5.27 % (3496256)Time elapsed: 2.038 s
% 29.15/5.27 % (3496256)Peak memory usage: 358 MB
% 29.15/5.27 % (3496256)Instructions burned: 5202 (million)
% 29.15/5.27 % (3496276)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=3546697066:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2964 on theBenchmark for (2964ds/150Mi)
% 29.15/5.27 % (3496277)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=446595319:i=14155:bd=all_2963 on theBenchmark for (2963ds/14155Mi)
% 29.15/5.27 % (3496276)Instruction limit reached!
% 29.15/5.27 % (3496276)------------------------------
% 29.15/5.27 % (3496276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.15/5.27 % (3496276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.15/5.27 % (3496276)CaDiCaL version: 2.1.3
% 29.15/5.27 % (3496276)Termination reason: Instruction limit
% 29.15/5.27 % (3496276)Termination phase: Unused predicate definition removal
% 29.15/5.27 % (3496276)Time elapsed: 0.117 s
% 29.15/5.27 % (3496276)Peak memory usage: 102 MB
% 29.15/5.27 % (3496276)Instructions burned: 150 (million)
% 29.15/5.27 % (3496280)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2879977888:i=667:av=off:fsr=off_2961 on theBenchmark for (2961ds/667Mi)
% 29.15/5.27 % (3496223)First to succeed.
% 29.15/5.27 % (3496223)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3496170"
% 29.15/5.27 % (3496264)Also succeeded, but the first one will report.
% 29.15/5.27 % (3496280)Instruction limit reached!
% 29.15/5.27 % (3496280)------------------------------
% 29.15/5.27 % (3496280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.15/5.27 % (3496280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.15/5.27 % (3496280)CaDiCaL version: 2.1.3
% 29.15/5.27 % (3496280)Termination reason: Instruction limit
% 29.15/5.27 % (3496280)Termination phase: Property scanning
% 29.15/5.27 % (3496280)Time elapsed: 0.488 s
% 29.15/5.27 % (3496280)Peak memory usage: 131 MB
% 29.15/5.27 % (3496280)Instructions burned: 669 (million)
% 29.15/5.27 % (3496223)Refutation found. Thanks to Tanya!
% 29.15/5.27 % SZS status Theorem for theBenchmark
% 29.15/5.27 % SZS output start Proof for theBenchmark
% See solution above
% 29.68/5.37 % (3496223)------------------------------
% 29.68/5.37 % (3496223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.68/5.37 % (3496223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.68/5.37 % (3496223)CaDiCaL version: 2.1.3
% 29.68/5.37 % (3496223)Termination reason: Refutation
% 29.68/5.37 % (3496223)Time elapsed: 3.582 s
% 29.68/5.37 % (3496223)Peak memory usage: 237 MB
% 29.68/5.37 % (3496223)Instructions burned: 6033 (million)
% 29.68/5.37 % (3496223)------------------------------
% 29.68/5.37 % (3496223)------------------------------
% 29.68/5.37 % (3496170)Success in time 4.612 s
% 29.68/5.37 % Vampire exiting
%------------------------------------------------------------------------------