%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CAT030+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 13.01s 3.51s
% Output : Refutation 19.81s
% 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(f3612,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/sandbox/benchmark/theBenchmark.p',d20_cat_1) ).
fof(f3684,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/sandbox/benchmark/theBenchmark.p',fc2_cat_2) ).
fof(f3754,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/sandbox/benchmark/theBenchmark.p',t63_cat_2) ).
fof(f3782,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/sandbox/benchmark/theBenchmark.p',dt_k11_cat_2) ).
fof(f3791,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/sandbox/benchmark/theBenchmark.p',dt_k18_cat_2) ).
fof(f3792,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/sandbox/benchmark/theBenchmark.p',redefinition_k18_cat_2) ).
fof(f4007,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/sandbox/benchmark/theBenchmark.p',redefinition_k10_isocat_2) ).
fof(f4070,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/sandbox/benchmark/theBenchmark.p',t43_isocat_2) ).
fof(f4071,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)],[f4070]) ).
fof(f4125,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,[],[f4007]) ).
fof(f4126,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,[],[f4125]) ).
fof(f4243,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,[],[f4071]) ).
fof(f4244,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,[],[f4243]) ).
fof(f4309,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,[],[f3782]) ).
fof(f4310,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,[],[f4309]) ).
fof(f4915,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,[],[f3612]) ).
fof(f4916,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,[],[f4915]) ).
fof(f4955,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,[],[f3792]) ).
fof(f4956,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,[],[f4955]) ).
fof(f4957,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,[],[f3791]) ).
fof(f4958,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,[],[f4957]) ).
fof(f4959,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,[],[f3754]) ).
fof(f4960,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,[],[f4959]) ).
fof(f5966,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,[],[f3684]) ).
fof(f5967,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,[],[f5966]) ).
fof(f6648,plain,
( k13_cat_1(sK31,k11_cat_2(sK32,sK33),k10_isocat_2(sK31,sK32,sK33,sK34,sK35),sK36) != k12_cat_2(sK32,sK33,k13_cat_1(sK31,sK32,sK34,sK36),k13_cat_1(sK31,sK33,sK35,sK36))
& m1_subset_1(sK36,u1_cat_1(sK31))
& m2_cat_1(sK35,sK31,sK33)
& m2_cat_1(sK34,sK31,sK32)
& v2_cat_1(sK33)
& l1_cat_1(sK33)
& v2_cat_1(sK32)
& l1_cat_1(sK32)
& v2_cat_1(sK31)
& l1_cat_1(sK31) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31,sK32,sK33,sK34,sK35,sK36]),skolemize(X0,sK31),skolemize(X1,sK32),skolemize(X2,sK33),skolemize(X3,sK34),skolemize(X4,sK35),skolemize(X5,sK36)],[f4244]) ).
fof(f7342,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,[],[f4126]) ).
fof(f7443,plain,
l1_cat_1(sK31),
inference(cnf_transformation,[],[f6648]) ).
fof(f7444,plain,
v2_cat_1(sK31),
inference(cnf_transformation,[],[f6648]) ).
fof(f7445,plain,
l1_cat_1(sK32),
inference(cnf_transformation,[],[f6648]) ).
fof(f7446,plain,
v2_cat_1(sK32),
inference(cnf_transformation,[],[f6648]) ).
fof(f7447,plain,
l1_cat_1(sK33),
inference(cnf_transformation,[],[f6648]) ).
fof(f7448,plain,
v2_cat_1(sK33),
inference(cnf_transformation,[],[f6648]) ).
fof(f7449,plain,
m2_cat_1(sK34,sK31,sK32),
inference(cnf_transformation,[],[f6648]) ).
fof(f7450,plain,
m2_cat_1(sK35,sK31,sK33),
inference(cnf_transformation,[],[f6648]) ).
fof(f7451,plain,
m1_subset_1(sK36,u1_cat_1(sK31)),
inference(cnf_transformation,[],[f6648]) ).
fof(f7452,plain,
k13_cat_1(sK31,k11_cat_2(sK32,sK33),k10_isocat_2(sK31,sK32,sK33,sK34,sK35),sK36) != k12_cat_2(sK32,sK33,k13_cat_1(sK31,sK32,sK34,sK36),k13_cat_1(sK31,sK33,sK35,sK36)),
inference(cnf_transformation,[],[f6648]) ).
fof(f7569,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,[],[f4310]) ).
fof(f8341,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,[],[f4916]) ).
fof(f8371,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,[],[f4956]) ).
fof(f8372,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,[],[f4958]) ).
fof(f8373,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,[],[f4960]) ).
fof(f9750,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,[],[f5967]) ).
fof(f13051,plain,
! [X2,X3,X0,X1] :
( k13_funct_3(X0,X1) = k10_isocat_2(sK31,X2,X3,X0,X1)
| ~ l1_cat_1(sK31)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X0,sK31,X2)
| ~ m2_cat_1(X1,sK31,X3) ),
inference(resolution,[],[f7444,f7342]) ).
fof(f13055,plain,
! [X0,X1] :
( k8_funct_2(u1_cat_1(sK31),u1_cat_1(X0),k12_cat_1(sK31,X0,X1),sK36) = k13_cat_1(sK31,X0,X1,sK36)
| ~ m2_cat_1(X1,sK31,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK31)
| ~ l1_cat_1(sK31) ),
inference(resolution,[],[f8341,f7451]) ).
fof(f13064,plain,
! [X0,X1] :
( ~ v2_cat_1(sK31)
| ~ l1_cat_1(sK31)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK33)
| ~ l1_cat_1(sK33)
| ~ m2_cat_1(X1,sK31,X0)
| k13_funct_3(X1,sK35) = k18_cat_2(sK31,X0,sK33,X1,sK35) ),
inference(resolution,[],[f8371,f7450]) ).
fof(f13077,plain,
! [X2,X3,X0,X1] :
( k8_funct_2(u1_cat_1(sK31),u1_cat_1(k11_cat_2(X0,X1)),k12_cat_1(sK31,k11_cat_2(X0,X1),k18_cat_2(sK31,X0,X1,X2,X3)),sK36) = k12_cat_2(X0,X1,k8_funct_2(u1_cat_1(sK31),u1_cat_1(X0),k12_cat_1(sK31,X0,X2),sK36),k8_funct_2(u1_cat_1(sK31),u1_cat_1(X1),k12_cat_1(sK31,X1,X3),sK36))
| ~ m2_cat_1(X3,sK31,X1)
| ~ m2_cat_1(X2,sK31,X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK31)
| ~ l1_cat_1(sK31) ),
inference(resolution,[],[f8373,f7451]) ).
fof(f13161,plain,
! [X2,X3,X0,X1] :
( ~ v2_cat_1(X2)
| k13_funct_3(X0,X1) = k10_isocat_2(sK31,X2,X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X0,sK31,X2)
| ~ m2_cat_1(X1,sK31,X3) ),
inference(forward_subsumption_resolution,[],[f13051,f7443]) ).
fof(f13164,plain,
! [X0,X1] :
( k8_funct_2(u1_cat_1(sK31),u1_cat_1(X0),k12_cat_1(sK31,X0,X1),sK36) = k13_cat_1(sK31,X0,X1,sK36)
| ~ m2_cat_1(X1,sK31,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(sK31) ),
inference(forward_subsumption_resolution,[],[f13055,f7444]) ).
fof(f13171,plain,
! [X0,X1] :
( ~ l1_cat_1(sK31)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK33)
| ~ l1_cat_1(sK33)
| ~ m2_cat_1(X1,sK31,X0)
| k13_funct_3(X1,sK35) = k18_cat_2(sK31,X0,sK33,X1,sK35) ),
inference(forward_subsumption_resolution,[],[f13064,f7444]) ).
fof(f13179,plain,
! [X2,X3,X0,X1] :
( k8_funct_2(u1_cat_1(sK31),u1_cat_1(k11_cat_2(X0,X1)),k12_cat_1(sK31,k11_cat_2(X0,X1),k18_cat_2(sK31,X0,X1,X2,X3)),sK36) = k12_cat_2(X0,X1,k8_funct_2(u1_cat_1(sK31),u1_cat_1(X0),k12_cat_1(sK31,X0,X2),sK36),k8_funct_2(u1_cat_1(sK31),u1_cat_1(X1),k12_cat_1(sK31,X1,X3),sK36))
| ~ m2_cat_1(X3,sK31,X1)
| ~ m2_cat_1(X2,sK31,X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(sK31) ),
inference(forward_subsumption_resolution,[],[f13077,f7444]) ).
fof(f13216,plain,
! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ m2_cat_1(X1,sK31,X0)
| k8_funct_2(u1_cat_1(sK31),u1_cat_1(X0),k12_cat_1(sK31,X0,X1),sK36) = k13_cat_1(sK31,X0,X1,sK36)
| ~ l1_cat_1(X0) ),
inference(forward_subsumption_resolution,[],[f13164,f7443]) ).
fof(f13219,plain,
! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK33)
| ~ l1_cat_1(sK33)
| ~ m2_cat_1(X1,sK31,X0)
| k13_funct_3(X1,sK35) = k18_cat_2(sK31,X0,sK33,X1,sK35) ),
inference(forward_subsumption_resolution,[],[f13171,f7443]) ).
fof(f13227,plain,
! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ m2_cat_1(X3,sK31,X1)
| ~ m2_cat_1(X2,sK31,X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k8_funct_2(u1_cat_1(sK31),u1_cat_1(k11_cat_2(X0,X1)),k12_cat_1(sK31,k11_cat_2(X0,X1),k18_cat_2(sK31,X0,X1,X2,X3)),sK36) = k12_cat_2(X0,X1,k8_funct_2(u1_cat_1(sK31),u1_cat_1(X0),k12_cat_1(sK31,X0,X2),sK36),k8_funct_2(u1_cat_1(sK31),u1_cat_1(X1),k12_cat_1(sK31,X1,X3),sK36))
| ~ l1_cat_1(X0) ),
inference(forward_subsumption_resolution,[],[f13179,f7443]) ).
fof(f13244,plain,
! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(sK33)
| ~ m2_cat_1(X1,sK31,X0)
| k13_funct_3(X1,sK35) = k18_cat_2(sK31,X0,sK33,X1,sK35) ),
inference(forward_subsumption_resolution,[],[f13219,f7448]) ).
fof(f13246,plain,
! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,sK31,X0)
| k13_funct_3(X1,sK35) = k18_cat_2(sK31,X0,sK33,X1,sK35) ),
inference(forward_subsumption_resolution,[],[f13244,f7447]) ).
fof(f13248,plain,
! [X2,X0,X1] :
( ~ m2_cat_1(X0,sK31,k11_cat_2(X1,X2))
| k8_funct_2(u1_cat_1(sK31),u1_cat_1(k11_cat_2(X1,X2)),k12_cat_1(sK31,k11_cat_2(X1,X2),X0),sK36) = k13_cat_1(sK31,k11_cat_2(X1,X2),X0,sK36)
| ~ 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,[],[f13216,f9750]) ).
fof(f13250,plain,
! [X0] :
( ~ m2_cat_1(X0,sK31,sK32)
| k8_funct_2(u1_cat_1(sK31),u1_cat_1(sK32),k12_cat_1(sK31,sK32,X0),sK36) = k13_cat_1(sK31,sK32,X0,sK36)
| ~ l1_cat_1(sK32) ),
inference(resolution,[],[f13216,f7446]) ).
fof(f13251,plain,
! [X0] :
( ~ m2_cat_1(X0,sK31,sK33)
| k8_funct_2(u1_cat_1(sK31),u1_cat_1(sK33),k12_cat_1(sK31,sK33,X0),sK36) = k13_cat_1(sK31,sK33,X0,sK36)
| ~ l1_cat_1(sK33) ),
inference(resolution,[],[f13216,f7448]) ).
fof(f13252,plain,
! [X0] :
( ~ m2_cat_1(X0,sK31,sK33)
| k8_funct_2(u1_cat_1(sK31),u1_cat_1(sK33),k12_cat_1(sK31,sK33,X0),sK36) = k13_cat_1(sK31,sK33,X0,sK36) ),
inference(forward_subsumption_resolution,[],[f13251,f7447]) ).
fof(f13253,plain,
! [X0] :
( ~ m2_cat_1(X0,sK31,sK32)
| k8_funct_2(u1_cat_1(sK31),u1_cat_1(sK32),k12_cat_1(sK31,sK32,X0),sK36) = k13_cat_1(sK31,sK32,X0,sK36) ),
inference(forward_subsumption_resolution,[],[f13250,f7445]) ).
fof(f13255,plain,
! [X2,X0,X1] :
( ~ v2_cat_1(X2)
| k8_funct_2(u1_cat_1(sK31),u1_cat_1(k11_cat_2(X1,X2)),k12_cat_1(sK31,k11_cat_2(X1,X2),X0),sK36) = k13_cat_1(sK31,k11_cat_2(X1,X2),X0,sK36)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X0,sK31,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2) ),
inference(forward_subsumption_resolution,[],[f13248,f7569]) ).
fof(f13300,plain,
! [X2,X0,X1] :
( k13_funct_3(X0,X1) = k10_isocat_2(sK31,sK32,X2,X0,X1)
| ~ l1_cat_1(sK32)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X0,sK31,sK32)
| ~ m2_cat_1(X1,sK31,X2) ),
inference(resolution,[],[f13161,f7446]) ).
fof(f13303,plain,
! [X2,X0,X1] :
( ~ m2_cat_1(X0,sK31,sK32)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| k13_funct_3(X0,X1) = k10_isocat_2(sK31,sK32,X2,X0,X1)
| ~ m2_cat_1(X1,sK31,X2) ),
inference(forward_subsumption_resolution,[],[f13300,f7445]) ).
fof(f13316,plain,
! [X0] :
( ~ l1_cat_1(sK32)
| ~ m2_cat_1(X0,sK31,sK32)
| k13_funct_3(X0,sK35) = k18_cat_2(sK31,sK32,sK33,X0,sK35) ),
inference(resolution,[],[f13246,f7446]) ).
fof(f13319,plain,
! [X0] :
( ~ m2_cat_1(X0,sK31,sK32)
| k13_funct_3(X0,sK35) = k18_cat_2(sK31,sK32,sK33,X0,sK35) ),
inference(forward_subsumption_resolution,[],[f13316,f7445]) ).
fof(f13330,plain,
k13_funct_3(sK34,sK35) = k18_cat_2(sK31,sK32,sK33,sK34,sK35),
inference(resolution,[],[f13319,f7449]) ).
fof(f13416,plain,
k13_cat_1(sK31,sK32,sK34,sK36) = k8_funct_2(u1_cat_1(sK31),u1_cat_1(sK32),k12_cat_1(sK31,sK32,sK34),sK36),
inference(resolution,[],[f13253,f7449]) ).
fof(f13437,plain,
k13_cat_1(sK31,sK33,sK35,sK36) = k8_funct_2(u1_cat_1(sK31),u1_cat_1(sK33),k12_cat_1(sK31,sK33,sK35),sK36),
inference(resolution,[],[f13252,f7450]) ).
fof(f13466,plain,
! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k13_funct_3(sK34,X1) = k10_isocat_2(sK31,sK32,X0,sK34,X1)
| ~ m2_cat_1(X1,sK31,X0) ),
inference(resolution,[],[f13303,f7449]) ).
fof(f13551,plain,
( m2_cat_1(k13_funct_3(sK34,sK35),sK31,k11_cat_2(sK32,sK33))
| ~ v2_cat_1(sK31)
| ~ l1_cat_1(sK31)
| ~ v2_cat_1(sK32)
| ~ l1_cat_1(sK32)
| ~ v2_cat_1(sK33)
| ~ l1_cat_1(sK33)
| ~ m2_cat_1(sK34,sK31,sK32)
| ~ m2_cat_1(sK35,sK31,sK33) ),
inference(superposition,[],[f8372,f13330]) ).
fof(f13552,plain,
( m2_cat_1(k13_funct_3(sK34,sK35),sK31,k11_cat_2(sK32,sK33))
| ~ l1_cat_1(sK31)
| ~ v2_cat_1(sK32)
| ~ l1_cat_1(sK32)
| ~ v2_cat_1(sK33)
| ~ l1_cat_1(sK33)
| ~ m2_cat_1(sK34,sK31,sK32)
| ~ m2_cat_1(sK35,sK31,sK33) ),
inference(forward_subsumption_resolution,[],[f13551,f7444]) ).
fof(f13553,plain,
( m2_cat_1(k13_funct_3(sK34,sK35),sK31,k11_cat_2(sK32,sK33))
| ~ v2_cat_1(sK32)
| ~ l1_cat_1(sK32)
| ~ v2_cat_1(sK33)
| ~ l1_cat_1(sK33)
| ~ m2_cat_1(sK34,sK31,sK32)
| ~ m2_cat_1(sK35,sK31,sK33) ),
inference(forward_subsumption_resolution,[],[f13552,f7443]) ).
fof(f13554,plain,
( m2_cat_1(k13_funct_3(sK34,sK35),sK31,k11_cat_2(sK32,sK33))
| ~ l1_cat_1(sK32)
| ~ v2_cat_1(sK33)
| ~ l1_cat_1(sK33)
| ~ m2_cat_1(sK34,sK31,sK32)
| ~ m2_cat_1(sK35,sK31,sK33) ),
inference(forward_subsumption_resolution,[],[f13553,f7446]) ).
fof(f13555,plain,
( m2_cat_1(k13_funct_3(sK34,sK35),sK31,k11_cat_2(sK32,sK33))
| ~ v2_cat_1(sK33)
| ~ l1_cat_1(sK33)
| ~ m2_cat_1(sK34,sK31,sK32)
| ~ m2_cat_1(sK35,sK31,sK33) ),
inference(forward_subsumption_resolution,[],[f13554,f7445]) ).
fof(f13556,plain,
( m2_cat_1(k13_funct_3(sK34,sK35),sK31,k11_cat_2(sK32,sK33))
| ~ l1_cat_1(sK33)
| ~ m2_cat_1(sK34,sK31,sK32)
| ~ m2_cat_1(sK35,sK31,sK33) ),
inference(forward_subsumption_resolution,[],[f13555,f7448]) ).
fof(f13557,plain,
( m2_cat_1(k13_funct_3(sK34,sK35),sK31,k11_cat_2(sK32,sK33))
| ~ m2_cat_1(sK34,sK31,sK32)
| ~ m2_cat_1(sK35,sK31,sK33) ),
inference(forward_subsumption_resolution,[],[f13556,f7447]) ).
fof(f13558,plain,
( m2_cat_1(k13_funct_3(sK34,sK35),sK31,k11_cat_2(sK32,sK33))
| ~ m2_cat_1(sK35,sK31,sK33) ),
inference(forward_subsumption_resolution,[],[f13557,f7449]) ).
fof(f13559,plain,
m2_cat_1(k13_funct_3(sK34,sK35),sK31,k11_cat_2(sK32,sK33)),
inference(forward_subsumption_resolution,[],[f13558,f7450]) ).
fof(f13640,plain,
! [X0] :
( ~ l1_cat_1(sK33)
| k13_funct_3(sK34,X0) = k10_isocat_2(sK31,sK32,sK33,sK34,X0)
| ~ m2_cat_1(X0,sK31,sK33) ),
inference(resolution,[],[f13466,f7448]) ).
fof(f13641,plain,
! [X0] :
( ~ m2_cat_1(X0,sK31,sK33)
| k13_funct_3(sK34,X0) = k10_isocat_2(sK31,sK32,sK33,sK34,X0) ),
inference(forward_subsumption_resolution,[],[f13640,f7447]) ).
fof(f13666,plain,
k10_isocat_2(sK31,sK32,sK33,sK34,sK35) = k13_funct_3(sK34,sK35),
inference(resolution,[],[f13641,f7450]) ).
fof(f13806,plain,
! [X2,X0,X1] :
( ~ m2_cat_1(X0,sK31,X1)
| ~ m2_cat_1(X2,sK31,sK32)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k8_funct_2(u1_cat_1(sK31),u1_cat_1(k11_cat_2(sK32,X1)),k12_cat_1(sK31,k11_cat_2(sK32,X1),k18_cat_2(sK31,sK32,X1,X2,X0)),sK36) = k12_cat_2(sK32,X1,k8_funct_2(u1_cat_1(sK31),u1_cat_1(sK32),k12_cat_1(sK31,sK32,X2),sK36),k8_funct_2(u1_cat_1(sK31),u1_cat_1(X1),k12_cat_1(sK31,X1,X0),sK36))
| ~ l1_cat_1(sK32) ),
inference(resolution,[],[f13227,f7446]) ).
fof(f13809,plain,
! [X2,X0,X1] :
( ~ m2_cat_1(X2,sK31,sK32)
| ~ m2_cat_1(X0,sK31,X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k8_funct_2(u1_cat_1(sK31),u1_cat_1(k11_cat_2(sK32,X1)),k12_cat_1(sK31,k11_cat_2(sK32,X1),k18_cat_2(sK31,sK32,X1,X2,X0)),sK36) = k12_cat_2(sK32,X1,k8_funct_2(u1_cat_1(sK31),u1_cat_1(sK32),k12_cat_1(sK31,sK32,X2),sK36),k8_funct_2(u1_cat_1(sK31),u1_cat_1(X1),k12_cat_1(sK31,X1,X0),sK36)) ),
inference(forward_subsumption_resolution,[],[f13806,f7445]) ).
fof(f13866,plain,
! [X0,X1] :
( ~ m2_cat_1(X0,sK31,X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k8_funct_2(u1_cat_1(sK31),u1_cat_1(k11_cat_2(sK32,X1)),k12_cat_1(sK31,k11_cat_2(sK32,X1),k18_cat_2(sK31,sK32,X1,sK34,X0)),sK36) = k12_cat_2(sK32,X1,k8_funct_2(u1_cat_1(sK31),u1_cat_1(sK32),k12_cat_1(sK31,sK32,sK34),sK36),k8_funct_2(u1_cat_1(sK31),u1_cat_1(X1),k12_cat_1(sK31,X1,X0),sK36)) ),
inference(resolution,[],[f13809,f7449]) ).
fof(f13871,plain,
! [X0,X1] :
( ~ v2_cat_1(X1)
| ~ m2_cat_1(X0,sK31,X1)
| k8_funct_2(u1_cat_1(sK31),u1_cat_1(k11_cat_2(sK32,X1)),k12_cat_1(sK31,k11_cat_2(sK32,X1),k18_cat_2(sK31,sK32,X1,sK34,X0)),sK36) = k12_cat_2(sK32,X1,k13_cat_1(sK31,sK32,sK34,sK36),k8_funct_2(u1_cat_1(sK31),u1_cat_1(X1),k12_cat_1(sK31,X1,X0),sK36))
| ~ l1_cat_1(X1) ),
inference(forward_demodulation,[],[f13866,f13416]) ).
fof(f13881,plain,
! [X0] :
( ~ m2_cat_1(X0,sK31,sK33)
| k8_funct_2(u1_cat_1(sK31),u1_cat_1(k11_cat_2(sK32,sK33)),k12_cat_1(sK31,k11_cat_2(sK32,sK33),k18_cat_2(sK31,sK32,sK33,sK34,X0)),sK36) = k12_cat_2(sK32,sK33,k13_cat_1(sK31,sK32,sK34,sK36),k8_funct_2(u1_cat_1(sK31),u1_cat_1(sK33),k12_cat_1(sK31,sK33,X0),sK36))
| ~ l1_cat_1(sK33) ),
inference(resolution,[],[f13871,f7448]) ).
fof(f13882,plain,
! [X0] :
( ~ m2_cat_1(X0,sK31,sK33)
| k8_funct_2(u1_cat_1(sK31),u1_cat_1(k11_cat_2(sK32,sK33)),k12_cat_1(sK31,k11_cat_2(sK32,sK33),k18_cat_2(sK31,sK32,sK33,sK34,X0)),sK36) = k12_cat_2(sK32,sK33,k13_cat_1(sK31,sK32,sK34,sK36),k8_funct_2(u1_cat_1(sK31),u1_cat_1(sK33),k12_cat_1(sK31,sK33,X0),sK36)) ),
inference(forward_subsumption_resolution,[],[f13881,f7447]) ).
fof(f13899,plain,
k8_funct_2(u1_cat_1(sK31),u1_cat_1(k11_cat_2(sK32,sK33)),k12_cat_1(sK31,k11_cat_2(sK32,sK33),k18_cat_2(sK31,sK32,sK33,sK34,sK35)),sK36) = k12_cat_2(sK32,sK33,k13_cat_1(sK31,sK32,sK34,sK36),k8_funct_2(u1_cat_1(sK31),u1_cat_1(sK33),k12_cat_1(sK31,sK33,sK35),sK36)),
inference(resolution,[],[f13882,f7450]) ).
fof(f13904,plain,
k12_cat_2(sK32,sK33,k13_cat_1(sK31,sK32,sK34,sK36),k13_cat_1(sK31,sK33,sK35,sK36)) = k8_funct_2(u1_cat_1(sK31),u1_cat_1(k11_cat_2(sK32,sK33)),k12_cat_1(sK31,k11_cat_2(sK32,sK33),k18_cat_2(sK31,sK32,sK33,sK34,sK35)),sK36),
inference(forward_demodulation,[],[f13899,f13437]) ).
fof(f13907,plain,
k12_cat_2(sK32,sK33,k13_cat_1(sK31,sK32,sK34,sK36),k13_cat_1(sK31,sK33,sK35,sK36)) = k8_funct_2(u1_cat_1(sK31),u1_cat_1(k11_cat_2(sK32,sK33)),k12_cat_1(sK31,k11_cat_2(sK32,sK33),k13_funct_3(sK34,sK35)),sK36),
inference(forward_demodulation,[],[f13904,f13330]) ).
fof(f15056,plain,
! [X0,X1] :
( k8_funct_2(u1_cat_1(sK31),u1_cat_1(k11_cat_2(X0,sK33)),k12_cat_1(sK31,k11_cat_2(X0,sK33),X1),sK36) = k13_cat_1(sK31,k11_cat_2(X0,sK33),X1,sK36)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,sK31,k11_cat_2(X0,sK33))
| ~ l1_cat_1(sK33) ),
inference(resolution,[],[f13255,f7448]) ).
fof(f15057,plain,
! [X0,X1] :
( ~ v2_cat_1(X0)
| k8_funct_2(u1_cat_1(sK31),u1_cat_1(k11_cat_2(X0,sK33)),k12_cat_1(sK31,k11_cat_2(X0,sK33),X1),sK36) = k13_cat_1(sK31,k11_cat_2(X0,sK33),X1,sK36)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,sK31,k11_cat_2(X0,sK33)) ),
inference(forward_subsumption_resolution,[],[f15056,f7447]) ).
fof(f15063,plain,
! [X0] :
( k8_funct_2(u1_cat_1(sK31),u1_cat_1(k11_cat_2(sK32,sK33)),k12_cat_1(sK31,k11_cat_2(sK32,sK33),X0),sK36) = k13_cat_1(sK31,k11_cat_2(sK32,sK33),X0,sK36)
| ~ l1_cat_1(sK32)
| ~ m2_cat_1(X0,sK31,k11_cat_2(sK32,sK33)) ),
inference(resolution,[],[f15057,f7446]) ).
fof(f15066,plain,
! [X0] :
( ~ m2_cat_1(X0,sK31,k11_cat_2(sK32,sK33))
| k8_funct_2(u1_cat_1(sK31),u1_cat_1(k11_cat_2(sK32,sK33)),k12_cat_1(sK31,k11_cat_2(sK32,sK33),X0),sK36) = k13_cat_1(sK31,k11_cat_2(sK32,sK33),X0,sK36) ),
inference(forward_subsumption_resolution,[],[f15063,f7445]) ).
fof(f15096,plain,
k8_funct_2(u1_cat_1(sK31),u1_cat_1(k11_cat_2(sK32,sK33)),k12_cat_1(sK31,k11_cat_2(sK32,sK33),k13_funct_3(sK34,sK35)),sK36) = k13_cat_1(sK31,k11_cat_2(sK32,sK33),k13_funct_3(sK34,sK35),sK36),
inference(resolution,[],[f15066,f13559]) ).
fof(f15422,plain,
k12_cat_2(sK32,sK33,k13_cat_1(sK31,sK32,sK34,sK36),k13_cat_1(sK31,sK33,sK35,sK36)) = k13_cat_1(sK31,k11_cat_2(sK32,sK33),k13_funct_3(sK34,sK35),sK36),
inference(superposition,[],[f13907,f15096]) ).
fof(f15423,plain,
k13_cat_1(sK31,k11_cat_2(sK32,sK33),k10_isocat_2(sK31,sK32,sK33,sK34,sK35),sK36) != k13_cat_1(sK31,k11_cat_2(sK32,sK33),k13_funct_3(sK34,sK35),sK36),
inference(superposition,[],[f7452,f15422]) ).
fof(f15426,plain,
k13_cat_1(sK31,k11_cat_2(sK32,sK33),k13_funct_3(sK34,sK35),sK36) != k13_cat_1(sK31,k11_cat_2(sK32,sK33),k13_funct_3(sK34,sK35),sK36),
inference(forward_demodulation,[],[f15423,f13666]) ).
fof(f15427,plain,
$false,
inference(trivial_inequality_removal,[],[f15426]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT030+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n016.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 21:26:05 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.98/2.80 % (4039606)Detected formulas, will run a generic FOF schedule.
% 13.98/2.80 % (4039617)dis-21_1_sil=8000:lcm=predicate:random_seed=1151413961:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 13.98/2.80 % (4039616)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1629456826:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 13.98/2.80 % (4039611)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=2966687508:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 13.98/2.80 % (4039612)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=2408025934:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 13.98/2.80 % (4039613)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=862465975:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 13.98/2.80 % (4039615)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1946557047:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 13.98/2.80 % (4039614)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2985346730:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 13.98/2.80 % (4039614)Refutation not found, incomplete strategy
% 13.98/2.80 % (4039614)------------------------------
% 13.98/2.80 % (4039614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.98/2.80 % (4039614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.98/2.80 % (4039614)CaDiCaL version: 2.1.3
% 13.98/2.80 % (4039614)Termination reason: Refutation not found, incomplete strategy
% 13.98/2.80 % (4039614)Time elapsed: 0.022 s
% 13.98/2.80 % (4039614)Peak memory usage: 93 MB
% 13.98/2.80 % (4039614)Instructions burned: 28 (million)
% 13.98/2.80 % (4039617)Instruction limit reached!
% 13.98/2.80 % (4039617)------------------------------
% 13.98/2.80 % (4039617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.98/2.80 % (4039617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.98/2.80 % (4039617)CaDiCaL version: 2.1.3
% 13.98/2.80 % (4039617)Termination reason: Instruction limit
% 13.98/2.80 % (4039617)Termination phase: Preprocessing 3
% 13.98/2.80 % (4039617)Time elapsed: 0.053 s
% 13.98/2.80 % (4039617)Peak memory usage: 94 MB
% 13.98/2.80 % (4039617)Instructions burned: 131 (million)
% 13.98/2.80 % (4039615)Instruction limit reached!
% 13.98/2.80 % (4039615)------------------------------
% 13.98/2.80 % (4039615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.98/2.80 % (4039615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.98/2.80 % (4039615)CaDiCaL version: 2.1.3
% 13.98/2.80 % (4039615)Termination reason: Instruction limit
% 13.98/2.80 % (4039615)Termination phase: Saturation
% 13.98/2.80 % (4039615)Time elapsed: 0.076 s
% 13.98/2.80 % (4039615)Peak memory usage: 94 MB
% 13.98/2.80 % (4039615)Instructions burned: 120 (million)
% 13.98/2.80 % (4039616)Instruction limit reached!
% 13.98/2.80 % (4039616)------------------------------
% 13.98/2.80 % (4039616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.98/2.80 % (4039616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.98/2.80 % (4039616)CaDiCaL version: 2.1.3
% 13.98/2.80 % (4039616)Termination reason: Instruction limit
% 13.98/2.80 % (4039616)Termination phase: Preprocessing 3
% 13.98/2.80 % (4039616)Time elapsed: 0.087 s
% 13.98/2.80 % (4039616)Peak memory usage: 94 MB
% 13.98/2.80 % (4039616)Instructions burned: 140 (million)
% 13.98/2.80 % (4039625)lrs+10_1_sil=8000:sp=occurrence:random_seed=602323768:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 13.98/2.80 % (4039627)lrs+1011_1_sil=32000:sp=occurrence:random_seed=68900495:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 13.98/2.80 % (4039626)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1125206834:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 13.98/2.80 % (4039625)Instruction limit reached!
% 13.98/2.80 % (4039625)------------------------------
% 13.98/2.80 % (4039625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.98/2.80 % (4039625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.74/3.31 % (4039625)CaDiCaL version: 2.1.3
% 17.74/3.31 % (4039625)Termination reason: Instruction limit
% 17.74/3.31 % (4039625)Termination phase: Saturation
% 17.74/3.31 % (4039625)Time elapsed: 0.105 s
% 17.74/3.31 % (4039625)Peak memory usage: 97 MB
% 17.74/3.31 % (4039625)Instructions burned: 286 (million)
% 17.74/3.31 % (4039614)------------------------------
% 17.74/3.31 % (4039614)------------------------------
% 17.74/3.31 % (4039626)Instruction limit reached!
% 17.74/3.31 % (4039626)------------------------------
% 17.74/3.31 % (4039626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.74/3.31 % (4039626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.74/3.31 % (4039626)CaDiCaL version: 2.1.3
% 17.74/3.31 % (4039626)Termination reason: Instruction limit
% 17.74/3.31 % (4039626)Termination phase: Saturation
% 17.74/3.31 % (4039626)Time elapsed: 0.086 s
% 17.74/3.31 % (4039626)Peak memory usage: 94 MB
% 17.74/3.31 % (4039626)Instructions burned: 159 (million)
% 17.74/3.31 % (4039631)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=2358466929:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 17.74/3.31 % (4039631)Instruction limit reached!
% 17.74/3.31 % (4039631)------------------------------
% 17.74/3.31 % (4039631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.74/3.31 % (4039631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.74/3.31 % (4039631)CaDiCaL version: 2.1.3
% 17.74/3.31 % (4039631)Termination reason: Instruction limit
% 17.74/3.31 % (4039631)Termination phase: Property scanning
% 17.74/3.31 % (4039631)Time elapsed: 0.088 s
% 17.74/3.31 % (4039631)Peak memory usage: 99 MB
% 17.74/3.31 % (4039631)Instructions burned: 250 (million)
% 17.74/3.31 % (4039632)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2388911759:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 17.74/3.31 % (4039633)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3149098627:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 17.74/3.31 % (4039627)Instruction limit reached!
% 17.74/3.31 % (4039627)------------------------------
% 17.74/3.31 % (4039627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.74/3.31 % (4039627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.74/3.31 % (4039627)CaDiCaL version: 2.1.3
% 17.74/3.31 % (4039627)Termination reason: Instruction limit
% 17.74/3.31 % (4039627)Termination phase: Saturation
% 17.74/3.31 % (4039627)Time elapsed: 0.214 s
% 17.74/3.31 % (4039627)Peak memory usage: 97 MB
% 17.74/3.31 % (4039627)Instructions burned: 326 (million)
% 17.74/3.31 % (4039636)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3085053755:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 17.74/3.31 % (4039636)Instruction limit reached!
% 17.74/3.31 % (4039636)------------------------------
% 17.74/3.31 % (4039636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.74/3.31 % (4039636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.74/3.31 % (4039636)CaDiCaL version: 2.1.3
% 17.74/3.31 % (4039636)Termination reason: Instruction limit
% 17.74/3.31 % (4039636)Termination phase: Property scanning
% 17.74/3.31 % (4039636)Time elapsed: 0.036 s
% 17.74/3.31 % (4039636)Peak memory usage: 93 MB
% 17.74/3.31 % (4039636)Instructions burned: 116 (million)
% 17.74/3.31 % (4039638)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4206608184:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 17.74/3.31 % (4039632)Instruction limit reached!
% 17.74/3.31 % (4039632)------------------------------
% 17.74/3.31 % (4039632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.74/3.31 % (4039632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.74/3.31 % (4039632)CaDiCaL version: 2.1.3
% 17.74/3.31 % (4039632)Termination reason: Instruction limit
% 17.74/3.31 % (4039632)Termination phase: Saturation
% 17.74/3.31 % (4039632)Time elapsed: 0.178 s
% 17.74/3.31 % (4039632)Peak memory usage: 97 MB
% 17.74/3.31 % (4039632)Instructions burned: 295 (million)
% 17.74/3.31 % (4039640)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2593470533:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 17.74/3.31 % (4039638)Instruction limit reached!
% 17.74/3.31 % (4039638)------------------------------
% 17.74/3.31 % (4039638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.01/3.51 % (4039638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.01/3.51 % (4039638)CaDiCaL version: 2.1.3
% 13.01/3.51 % (4039638)Termination reason: Instruction limit
% 13.01/3.51 % (4039638)Termination phase: Preprocessing 3
% 13.01/3.51 % (4039638)Time elapsed: 0.086 s
% 13.01/3.51 % (4039638)Peak memory usage: 97 MB
% 13.01/3.51 % (4039638)Instructions burned: 128 (million)
% 13.01/3.51 % (4039640)Instruction limit reached!
% 13.01/3.51 % (4039640)------------------------------
% 13.01/3.51 % (4039640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.01/3.51 % (4039640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.01/3.51 % (4039640)CaDiCaL version: 2.1.3
% 13.01/3.51 % (4039640)Termination reason: Instruction limit
% 13.01/3.51 % (4039640)Termination phase: SInE selection
% 13.01/3.51 % (4039640)Time elapsed: 0.029 s
% 13.01/3.51 % (4039640)Peak memory usage: 89 MB
% 13.01/3.51 % (4039640)Instructions burned: 115 (million)
% 13.01/3.51 % (4039642)lrs+10_1_sil=8000:sp=occurrence:random_seed=653268348:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 13.01/3.51 % (4039645)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1288970353:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 13.01/3.51 % (4039644)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=918783620:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 13.01/3.51 % (4039644)Refutation not found, incomplete strategy
% 13.01/3.51 % (4039644)------------------------------
% 13.01/3.51 % (4039644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.01/3.51 % (4039644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.01/3.51 % (4039644)CaDiCaL version: 2.1.3
% 13.01/3.51 % (4039644)Termination reason: Refutation not found, incomplete strategy
% 13.01/3.51 % (4039644)Time elapsed: 0.070 s
% 13.01/3.51 % (4039644)Peak memory usage: 96 MB
% 13.01/3.51 % (4039644)Instructions burned: 113 (million)
% 13.01/3.51 % (4039644)------------------------------
% 13.01/3.51 % (4039644)------------------------------
% 13.01/3.51 % (4039649)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3461304959:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 13.01/3.51 % (4039642)Instruction limit reached!
% 13.01/3.51 % (4039642)------------------------------
% 13.01/3.51 % (4039642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.01/3.51 % (4039642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.01/3.51 % (4039642)CaDiCaL version: 2.1.3
% 13.01/3.51 % (4039642)Termination reason: Instruction limit
% 13.01/3.51 % (4039642)Termination phase: Saturation
% 13.01/3.51 % (4039642)Time elapsed: 0.552 s
% 13.01/3.51 % (4039642)Peak memory usage: 108 MB
% 13.01/3.51 % (4039642)Instructions burned: 907 (million)
% 13.01/3.51 % (4039649)Instruction limit reached!
% 13.01/3.51 % (4039649)------------------------------
% 13.01/3.51 % (4039649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.01/3.51 % (4039649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.01/3.51 % (4039649)CaDiCaL version: 2.1.3
% 13.01/3.51 % (4039649)Termination reason: Instruction limit
% 13.01/3.51 % (4039649)Termination phase: Saturation
% 13.01/3.51 % (4039649)Time elapsed: 0.087 s
% 13.01/3.51 % (4039649)Peak memory usage: 95 MB
% 13.01/3.51 % (4039649)Instructions burned: 135 (million)
% 13.01/3.51 % (4039651)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1548903840:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 13.01/3.51 % (4039652)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=635287493:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 13.01/3.51 % (4039651)Instruction limit reached!
% 13.01/3.51 % (4039651)------------------------------
% 13.01/3.51 % (4039651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.01/3.51 % (4039651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.01/3.51 % (4039651)CaDiCaL version: 2.1.3
% 13.01/3.51 % (4039651)Termination reason: Instruction limit
% 13.01/3.51 % (4039651)Termination phase: Saturation
% 13.01/3.51 % (4039651)Time elapsed: 0.296 s
% 13.01/3.51 % (4039651)Peak memory usage: 104 MB
% 13.01/3.51 % (4039651)Instructions burned: 593 (million)
% 13.01/3.51 % (4039655)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=3494689262:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 13.01/3.51 % (4039633)Instruction limit reached!
% 13.01/3.51 % (4039633)------------------------------
% 13.01/3.51 % (4039633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.01/3.51 % (4039633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.01/3.51 % (4039633)CaDiCaL version: 2.1.3
% 13.01/3.51 % (4039633)Termination reason: Instruction limit
% 13.01/3.51 % (4039633)Termination phase: Saturation
% 13.01/3.51 % (4039633)Time elapsed: 1.473 s
% 13.01/3.51 % (4039633)Peak memory usage: 194 MB
% 13.01/3.51 % (4039633)Instructions burned: 2352 (million)
% 13.01/3.51 % (4039655)Instruction limit reached!
% 13.01/3.51 % (4039655)------------------------------
% 13.01/3.51 % (4039655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.01/3.51 % (4039655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.01/3.51 % (4039655)CaDiCaL version: 2.1.3
% 13.01/3.51 % (4039655)Termination reason: Instruction limit
% 13.01/3.51 % (4039655)Termination phase: Preprocessing 3
% 13.01/3.51 % (4039655)Time elapsed: 0.077 s
% 13.01/3.51 % (4039655)Peak memory usage: 92 MB
% 13.01/3.51 % (4039655)Instructions burned: 127 (million)
% 13.01/3.51 % (4039657)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4159045682:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 13.01/3.51 % (4039658)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=21633300:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 13.01/3.51 % (4039657)Instruction limit reached!
% 13.01/3.51 % (4039657)------------------------------
% 13.01/3.51 % (4039657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.01/3.51 % (4039657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.01/3.51 % (4039657)CaDiCaL version: 2.1.3
% 13.01/3.51 % (4039657)Termination reason: Instruction limit
% 13.01/3.51 % (4039657)Termination phase: Preprocessing 1
% 13.01/3.51 % (4039657)Time elapsed: 0.067 s
% 13.01/3.51 % (4039657)Peak memory usage: 90 MB
% 13.01/3.51 % (4039657)Instructions burned: 134 (million)
% 13.01/3.51 % (4039658)Instruction limit reached!
% 13.01/3.51 % (4039658)------------------------------
% 13.01/3.51 % (4039658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.01/3.51 % (4039658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.01/3.51 % (4039658)CaDiCaL version: 2.1.3
% 13.01/3.51 % (4039658)Termination reason: Instruction limit
% 13.01/3.51 % (4039658)Termination phase: Saturation
% 13.01/3.51 % (4039658)Time elapsed: 0.087 s
% 13.01/3.51 % (4039658)Peak memory usage: 95 MB
% 13.01/3.51 % (4039658)Instructions burned: 143 (million)
% 13.01/3.51 % (4039661)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2544146726:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 13.01/3.51 % (4039612)First to succeed.
% 13.01/3.51 % (4039612)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4039606"
% 13.01/3.51 % (4039661)Refutation not found, incomplete strategy
% 13.01/3.51 % (4039661)------------------------------
% 13.01/3.51 % (4039661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.01/3.51 % (4039661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.01/3.51 % (4039661)CaDiCaL version: 2.1.3
% 13.01/3.51 % (4039661)Termination reason: Refutation not found, incomplete strategy
% 13.01/3.51 % (4039661)Time elapsed: 0.028 s
% 13.01/3.51 % (4039661)Peak memory usage: 93 MB
% 13.01/3.51 % (4039661)Instructions burned: 39 (million)
% 13.01/3.51 % (4039662)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=2005592556:i=6060:aac=none:ins=25_2975 on theBenchmark for (2975ds/6060Mi)
% 13.01/3.51 % (4039645)Instruction limit reached!
% 13.01/3.51 % (4039645)------------------------------
% 13.01/3.51 % (4039645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.01/3.51 % (4039645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.01/3.51 % (4039645)CaDiCaL version: 2.1.3
% 13.01/3.51 % (4039645)Termination reason: Instruction limit
% 13.01/3.51 % (4039645)Termination phase: Saturation
% 13.01/3.51 % (4039645)Time elapsed: 1.616 s
% 13.01/3.51 % (4039645)Peak memory usage: 208 MB
% 13.01/3.51 % (4039645)Instructions burned: 5202 (million)
% 13.01/3.51 % (4039665)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=3917942891:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2973 on theBenchmark for (2973ds/150Mi)
% 13.01/3.51 % (4039665)Instruction limit reached!
% 13.01/3.51 % (4039665)------------------------------
% 13.01/3.51 % (4039665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.01/3.51 % (4039665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.01/3.51 % (4039665)CaDiCaL version: 2.1.3
% 13.01/3.51 % (4039665)Termination reason: Instruction limit
% 13.01/3.51 % (4039665)Termination phase: Preprocessing 3
% 13.01/3.51 % (4039665)Time elapsed: 0.056 s
% 13.01/3.51 % (4039665)Peak memory usage: 97 MB
% 13.01/3.51 % (4039665)Instructions burned: 150 (million)
% 13.01/3.51 % (4039661)------------------------------
% 13.01/3.51 % (4039661)------------------------------
% 13.01/3.51 % (4039612)Refutation found. Thanks to Tanya!
% 13.01/3.51 % SZS status Theorem for theBenchmark
% 13.01/3.51 % SZS output start Proof for theBenchmark
% See solution above
% 19.81/3.73 % (4039612)------------------------------
% 19.81/3.73 % (4039612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.81/3.73 % (4039612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.81/3.73 % (4039612)CaDiCaL version: 2.1.3
% 19.81/3.73 % (4039612)Termination reason: Refutation
% 19.81/3.73 % (4039612)Time elapsed: 2.261 s
% 19.81/3.73 % (4039612)Peak memory usage: 190 MB
% 19.81/3.73 % (4039612)Instructions burned: 3661 (million)
% 19.81/3.73 % (4039612)------------------------------
% 19.81/3.73 % (4039612)------------------------------
% 19.81/3.73 % (4039606)Success in time 2.86 s
% 19.81/3.73 % Vampire exiting
%------------------------------------------------------------------------------