%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CAT026+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 09:37:00 AM UTC 2026
% Result : Theorem 3.20s 0.73s
% Output : Refutation 3.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 20
% Syntax : Number of formulae : 179 ( 49 unt; 9 def)
% Number of atoms : 726 ( 64 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 992 ( 445 ~; 437 |; 71 &)
% ( 4 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-4 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-5 aty)
% Number of variables : 225 ( 0 sgn 212 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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,k11_cat_2(X1,X2))
=> ! [X4] :
( m2_cat_1(X4,X0,k11_cat_2(X1,X2))
=> ( r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
=> ( r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4))
& r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_isocat_2) ).
fof(f2,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,k11_cat_2(X1,X2))
=> ! [X4] :
( m2_cat_1(X4,X0,k11_cat_2(X1,X2))
=> ( r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
=> ( r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4))
& r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4)) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f12,axiom,
! [X0,X1] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1) )
=> m2_cat_1(k16_cat_2(X0,X1),k11_cat_2(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k16_cat_2) ).
fof(f13,axiom,
! [X0,X1] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1) )
=> m2_cat_1(k17_cat_2(X0,X1),k11_cat_2(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k17_cat_2) ).
fof(f31,axiom,
! [X0,X1] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1) )
=> k8_isocat_2(X0,X1) = k16_cat_2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_isocat_2) ).
fof(f32,axiom,
! [X0,X1] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1) )
=> k9_isocat_2(X0,X1) = k17_cat_2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k9_isocat_2) ).
fof(f39,axiom,
! [X0,X1,X2,X3] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1)
& m2_cat_1(X2,X0,X1)
& m2_cat_1(X3,X0,X1) )
=> r2_nattra_1(X0,X1,X2,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r2_nattra_1) ).
fof(f41,axiom,
! [X0,X1] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1) )
=> ? [X2] : m2_cat_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_cat_1) ).
fof(f43,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(f49,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,k11_cat_2(X1,X2))
=> k11_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k8_isocat_2(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_isocat_2) ).
fof(f50,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,k11_cat_2(X1,X2))
=> k12_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k9_isocat_2(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_isocat_2) ).
fof(f51,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,X1)
=> ! [X5] :
( m2_cat_1(X5,X1,X2)
=> ! [X6] :
( m2_cat_1(X6,X1,X2)
=> ( ( r2_nattra_1(X0,X1,X3,X4)
& r2_nattra_1(X1,X2,X5,X6) )
=> r2_nattra_1(X0,X2,k2_isocat_1(X0,X1,X2,X3,X5),k2_isocat_1(X0,X1,X2,X4,X6)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_isocat_1) ).
fof(f56,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4))
| ~ r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4)) )
& r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
& m2_cat_1(X4,X0,k11_cat_2(X1,X2)) )
& m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
& 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,[],[f2]) ).
fof(f57,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4))
| ~ r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4)) )
& r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
& m2_cat_1(X4,X0,k11_cat_2(X1,X2)) )
& m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
& 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,[],[f56]) ).
fof(f63,plain,
! [X0,X1] :
( m2_cat_1(k16_cat_2(X0,X1),k11_cat_2(X0,X1),X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f64,plain,
! [X0,X1] :
( m2_cat_1(k16_cat_2(X0,X1),k11_cat_2(X0,X1),X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(flattening,[],[f63]) ).
fof(f65,plain,
! [X0,X1] :
( m2_cat_1(k17_cat_2(X0,X1),k11_cat_2(X0,X1),X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f66,plain,
! [X0,X1] :
( m2_cat_1(k17_cat_2(X0,X1),k11_cat_2(X0,X1),X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(flattening,[],[f65]) ).
fof(f77,plain,
! [X0,X1] :
( k8_isocat_2(X0,X1) = k16_cat_2(X0,X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f78,plain,
! [X0,X1] :
( k8_isocat_2(X0,X1) = k16_cat_2(X0,X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
! [X0,X1] :
( k9_isocat_2(X0,X1) = k17_cat_2(X0,X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f80,plain,
! [X0,X1] :
( k9_isocat_2(X0,X1) = k17_cat_2(X0,X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(flattening,[],[f79]) ).
fof(f89,plain,
! [X0,X1,X2,X3] :
( r2_nattra_1(X0,X1,X2,X2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ m2_cat_1(X3,X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( r2_nattra_1(X0,X1,X2,X2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ m2_cat_1(X3,X0,X1) ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
! [X0,X1] :
( ? [X2] : m2_cat_1(X2,X0,X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f92,plain,
! [X0,X1] :
( ? [X2] : m2_cat_1(X2,X0,X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(flattening,[],[f91]) ).
fof(f95,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,[],[f43]) ).
fof(f96,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,[],[f95]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k11_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k8_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
| ~ 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,[],[f49]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k11_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k8_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
| ~ 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,[],[f105]) ).
fof(f107,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k12_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k9_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
| ~ 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,[],[f50]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k12_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k9_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
| ~ 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,[],[f107]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( r2_nattra_1(X0,X2,k2_isocat_1(X0,X1,X2,X3,X5),k2_isocat_1(X0,X1,X2,X4,X6))
| ~ r2_nattra_1(X0,X1,X3,X4)
| ~ r2_nattra_1(X1,X2,X5,X6)
| ~ m2_cat_1(X6,X1,X2) )
| ~ m2_cat_1(X5,X1,X2) )
| ~ m2_cat_1(X4,X0,X1) )
| ~ 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,[],[f51]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( r2_nattra_1(X0,X2,k2_isocat_1(X0,X1,X2,X3,X5),k2_isocat_1(X0,X1,X2,X4,X6))
| ~ r2_nattra_1(X0,X1,X3,X4)
| ~ r2_nattra_1(X1,X2,X5,X6)
| ~ m2_cat_1(X6,X1,X2) )
| ~ m2_cat_1(X5,X1,X2) )
| ~ m2_cat_1(X4,X0,X1) )
| ~ 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,[],[f109]) ).
fof(f111,plain,
( ( ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4))
| ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4)) )
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
& m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
& m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
& v2_cat_1(sK2)
& l1_cat_1(sK2)
& v2_cat_1(sK1)
& l1_cat_1(sK1)
& v2_cat_1(sK0)
& l1_cat_1(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f57]) ).
fof(f121,plain,
! [X0,X1] :
( m2_cat_1(sK13(X0,X1),X0,X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X2,sK13(X0,X1))],[f92]) ).
fof(f122,plain,
l1_cat_1(sK0),
inference(cnf_transformation,[],[f111]) ).
fof(f123,plain,
v2_cat_1(sK0),
inference(cnf_transformation,[],[f111]) ).
fof(f124,plain,
l1_cat_1(sK1),
inference(cnf_transformation,[],[f111]) ).
fof(f125,plain,
v2_cat_1(sK1),
inference(cnf_transformation,[],[f111]) ).
fof(f126,plain,
l1_cat_1(sK2),
inference(cnf_transformation,[],[f111]) ).
fof(f127,plain,
v2_cat_1(sK2),
inference(cnf_transformation,[],[f111]) ).
fof(f128,plain,
m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2)),
inference(cnf_transformation,[],[f111]) ).
fof(f129,plain,
m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2)),
inference(cnf_transformation,[],[f111]) ).
fof(f130,plain,
r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4),
inference(cnf_transformation,[],[f111]) ).
fof(f131,plain,
( ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4))
| ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4)) ),
inference(cnf_transformation,[],[f111]) ).
fof(f140,plain,
! [X0,X1] :
( m2_cat_1(k16_cat_2(X0,X1),k11_cat_2(X0,X1),X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f141,plain,
! [X0,X1] :
( m2_cat_1(k17_cat_2(X0,X1),k11_cat_2(X0,X1),X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f157,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k16_cat_2(X0,X1) = k8_isocat_2(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f158,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k17_cat_2(X0,X1) = k9_isocat_2(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f166,plain,
! [X2,X3,X0,X1] :
( r2_nattra_1(X0,X1,X2,X2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ m2_cat_1(X3,X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f168,plain,
! [X0,X1] :
( m2_cat_1(sK13(X0,X1),X0,X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f170,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,[],[f96]) ).
fof(f171,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| v2_cat_1(k11_cat_2(X0,X1)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f176,plain,
! [X2,X3,X0,X1] :
( ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| k11_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k8_isocat_2(X1,X2))
| ~ 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,[],[f106]) ).
fof(f177,plain,
! [X2,X3,X0,X1] :
( ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| k12_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k9_isocat_2(X1,X2))
| ~ 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,[],[f108]) ).
fof(f178,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r2_nattra_1(X1,X2,X5,X6)
| ~ r2_nattra_1(X0,X1,X3,X4)
| r2_nattra_1(X0,X2,k2_isocat_1(X0,X1,X2,X3,X5),k2_isocat_1(X0,X1,X2,X4,X6))
| ~ m2_cat_1(X6,X1,X2)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X4,X0,X1)
| ~ 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,[],[f110]) ).
fof(f179,definition,
sF14 = k11_isocat_2(sK0,sK1,sK2,sK3),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f180,plain,
k11_isocat_2(sK0,sK1,sK2,sK3) = sF14,
inference(reorient_equations,[],[f179]) ).
fof(f181,definition,
sF15 = k11_isocat_2(sK0,sK1,sK2,sK4),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f182,plain,
k11_isocat_2(sK0,sK1,sK2,sK4) = sF15,
inference(reorient_equations,[],[f181]) ).
fof(f183,definition,
sF16 = k12_isocat_2(sK0,sK1,sK2,sK3),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f184,plain,
k12_isocat_2(sK0,sK1,sK2,sK3) = sF16,
inference(reorient_equations,[],[f183]) ).
fof(f185,definition,
sF17 = k12_isocat_2(sK0,sK1,sK2,sK4),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f186,plain,
k12_isocat_2(sK0,sK1,sK2,sK4) = sF17,
inference(reorient_equations,[],[f185]) ).
fof(f187,plain,
( ~ r2_nattra_1(sK0,sK1,sF14,sF15)
| ~ r2_nattra_1(sK0,sK2,sF16,sF17) ),
inference(definition_folding,[],[f131,f186,f184,f182,f180]) ).
fof(f188,definition,
sF18 = k11_cat_2(sK1,sK2),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f189,plain,
k11_cat_2(sK1,sK2) = sF18,
inference(reorient_equations,[],[f188]) ).
fof(f190,plain,
r2_nattra_1(sK0,sF18,sK3,sK4),
inference(definition_folding,[],[f130,f189]) ).
fof(f191,plain,
m2_cat_1(sK4,sK0,sF18),
inference(definition_folding,[],[f129,f189]) ).
fof(f192,plain,
m2_cat_1(sK3,sK0,sF18),
inference(definition_folding,[],[f128,f189]) ).
fof(f194,definition,
( spl19_1
<=> r2_nattra_1(sK0,sK2,sF16,sF17) ),
introduced(definition,[new_symbols(definition,[spl19_1])],[avatar_definition]) ).
fof(f196,plain,
( ~ r2_nattra_1(sK0,sK2,sF16,sF17)
| spl19_1 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f198,definition,
( spl19_2
<=> r2_nattra_1(sK0,sK1,sF14,sF15) ),
introduced(definition,[new_symbols(definition,[spl19_2])],[avatar_definition]) ).
fof(f201,plain,
( ~ spl19_1
| ~ spl19_2 ),
inference(avatar_split_clause,[],[f187,f198,f194]) ).
fof(f272,plain,
( l1_cat_1(sF18)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(superposition,[],[f170,f189]) ).
fof(f273,plain,
( l1_cat_1(sF18)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f272,f125]) ).
fof(f274,plain,
( l1_cat_1(sF18)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f273,f124]) ).
fof(f275,plain,
( l1_cat_1(sF18)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f274,f127]) ).
fof(f276,plain,
l1_cat_1(sF18),
inference(forward_subsumption_resolution,[],[f275,f126]) ).
fof(f280,plain,
! [X0] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK2)
| v2_cat_1(k11_cat_2(X0,sK2)) ),
inference(resolution,[],[f171,f126]) ).
fof(f284,definition,
( spl19_5
<=> v2_cat_1(sF18) ),
introduced(definition,[new_symbols(definition,[spl19_5])],[avatar_definition]) ).
fof(f285,plain,
( v2_cat_1(sF18)
| ~ spl19_5 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f286,plain,
( ~ v2_cat_1(sF18)
| spl19_5 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f299,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| v2_cat_1(k11_cat_2(X0,sK2)) ),
inference(forward_subsumption_resolution,[],[f280,f127]) ).
fof(f305,plain,
( ~ v2_cat_1(sK1)
| v2_cat_1(k11_cat_2(sK1,sK2)) ),
inference(resolution,[],[f299,f124]) ).
fof(f310,plain,
v2_cat_1(k11_cat_2(sK1,sK2)),
inference(forward_subsumption_resolution,[],[f305,f125]) ).
fof(f313,plain,
v2_cat_1(sF18),
inference(forward_demodulation,[],[f310,f189]) ).
fof(f314,plain,
( $false
| spl19_5 ),
inference(forward_subsumption_resolution,[],[f313,f286]) ).
fof(f315,plain,
spl19_5,
inference(avatar_contradiction_clause,[],[f314]) ).
fof(f320,plain,
! [X0] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK2)
| k16_cat_2(X0,sK2) = k8_isocat_2(X0,sK2) ),
inference(resolution,[],[f157,f126]) ).
fof(f324,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k16_cat_2(X0,sK2) = k8_isocat_2(X0,sK2) ),
inference(forward_subsumption_resolution,[],[f320,f127]) ).
fof(f331,plain,
! [X0] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK2)
| k17_cat_2(X0,sK2) = k9_isocat_2(X0,sK2) ),
inference(resolution,[],[f158,f126]) ).
fof(f335,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k17_cat_2(X0,sK2) = k9_isocat_2(X0,sK2) ),
inference(forward_subsumption_resolution,[],[f331,f127]) ).
fof(f339,plain,
( m2_cat_1(k16_cat_2(sK1,sK2),sF18,sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(superposition,[],[f140,f189]) ).
fof(f340,plain,
( m2_cat_1(k16_cat_2(sK1,sK2),sF18,sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f339,f125]) ).
fof(f341,plain,
( m2_cat_1(k16_cat_2(sK1,sK2),sF18,sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f340,f124]) ).
fof(f342,plain,
( m2_cat_1(k16_cat_2(sK1,sK2),sF18,sK1)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f341,f127]) ).
fof(f343,plain,
m2_cat_1(k16_cat_2(sK1,sK2),sF18,sK1),
inference(forward_subsumption_resolution,[],[f342,f126]) ).
fof(f344,plain,
( m2_cat_1(k17_cat_2(sK1,sK2),sF18,sK2)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(superposition,[],[f141,f189]) ).
fof(f345,plain,
( m2_cat_1(k17_cat_2(sK1,sK2),sF18,sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f344,f125]) ).
fof(f346,plain,
( m2_cat_1(k17_cat_2(sK1,sK2),sF18,sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f345,f124]) ).
fof(f347,plain,
( m2_cat_1(k17_cat_2(sK1,sK2),sF18,sK2)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f346,f127]) ).
fof(f348,plain,
m2_cat_1(k17_cat_2(sK1,sK2),sF18,sK2),
inference(forward_subsumption_resolution,[],[f347,f126]) ).
fof(f551,plain,
! [X0,X1] :
( ~ m2_cat_1(X0,X1,sF18)
| k11_isocat_2(X1,sK1,sK2,X0) = k2_isocat_1(X1,sF18,sK1,X0,k8_isocat_2(sK1,sK2))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(superposition,[],[f176,f189]) ).
fof(f556,plain,
! [X0,X1] :
( ~ m2_cat_1(X0,X1,sF18)
| k11_isocat_2(X1,sK1,sK2,X0) = k2_isocat_1(X1,sF18,sK1,X0,k8_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f551,f127]) ).
fof(f565,plain,
! [X0,X1] :
( ~ m2_cat_1(X0,X1,sF18)
| k11_isocat_2(X1,sK1,sK2,X0) = k2_isocat_1(X1,sF18,sK1,X0,k8_isocat_2(sK1,sK2))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f556,f126]) ).
fof(f574,plain,
! [X0,X1] :
( ~ m2_cat_1(X0,X1,sF18)
| k11_isocat_2(X1,sK1,sK2,X0) = k2_isocat_1(X1,sF18,sK1,X0,k8_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f565,f125]) ).
fof(f579,plain,
! [X0,X1] :
( ~ m2_cat_1(X0,X1,sF18)
| k11_isocat_2(X1,sK1,sK2,X0) = k2_isocat_1(X1,sF18,sK1,X0,k8_isocat_2(sK1,sK2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f574,f124]) ).
fof(f594,plain,
! [X0,X1] :
( ~ m2_cat_1(X0,X1,sF18)
| k12_isocat_2(X1,sK1,sK2,X0) = k2_isocat_1(X1,sF18,sK2,X0,k9_isocat_2(sK1,sK2))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(superposition,[],[f177,f189]) ).
fof(f599,plain,
! [X0,X1] :
( ~ m2_cat_1(X0,X1,sF18)
| k12_isocat_2(X1,sK1,sK2,X0) = k2_isocat_1(X1,sF18,sK2,X0,k9_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f594,f127]) ).
fof(f608,plain,
! [X0,X1] :
( ~ m2_cat_1(X0,X1,sF18)
| k12_isocat_2(X1,sK1,sK2,X0) = k2_isocat_1(X1,sF18,sK2,X0,k9_isocat_2(sK1,sK2))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f599,f126]) ).
fof(f617,plain,
! [X0,X1] :
( ~ m2_cat_1(X0,X1,sF18)
| k12_isocat_2(X1,sK1,sK2,X0) = k2_isocat_1(X1,sF18,sK2,X0,k9_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f608,f125]) ).
fof(f622,plain,
! [X0,X1] :
( ~ m2_cat_1(X0,X1,sF18)
| k12_isocat_2(X1,sK1,sK2,X0) = k2_isocat_1(X1,sF18,sK2,X0,k9_isocat_2(sK1,sK2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f617,f124]) ).
fof(f630,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r2_nattra_1(X0,X1,X2,X3)
| r2_nattra_1(X0,X4,k2_isocat_1(X0,X1,X4,X2,X5),k2_isocat_1(X0,X1,X4,X3,X5))
| ~ m2_cat_1(X5,X1,X4)
| ~ m2_cat_1(X5,X1,X4)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4)
| ~ m2_cat_1(X5,X1,X4)
| ~ m2_cat_1(X6,X1,X4) ),
inference(resolution,[],[f178,f166]) ).
fof(f631,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r2_nattra_1(X0,X1,X2,X3)
| r2_nattra_1(X0,X4,k2_isocat_1(X0,X1,X4,X2,X5),k2_isocat_1(X0,X1,X4,X3,X5))
| ~ m2_cat_1(X5,X1,X4)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X1,X4) ),
inference(duplicate_literal_removal,[],[f630]) ).
fof(f664,plain,
( ~ v2_cat_1(sK1)
| k16_cat_2(sK1,sK2) = k8_isocat_2(sK1,sK2) ),
inference(resolution,[],[f324,f124]) ).
fof(f670,plain,
k16_cat_2(sK1,sK2) = k8_isocat_2(sK1,sK2),
inference(forward_subsumption_resolution,[],[f664,f125]) ).
fof(f697,plain,
( ~ v2_cat_1(sK1)
| k17_cat_2(sK1,sK2) = k9_isocat_2(sK1,sK2) ),
inference(resolution,[],[f335,f124]) ).
fof(f703,plain,
k17_cat_2(sK1,sK2) = k9_isocat_2(sK1,sK2),
inference(forward_subsumption_resolution,[],[f697,f125]) ).
fof(f802,plain,
( k11_isocat_2(sK0,sK1,sK2,sK4) = k2_isocat_1(sK0,sF18,sK1,sK4,k8_isocat_2(sK1,sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(resolution,[],[f579,f191]) ).
fof(f803,plain,
( k11_isocat_2(sK0,sK1,sK2,sK3) = k2_isocat_1(sK0,sF18,sK1,sK3,k8_isocat_2(sK1,sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(resolution,[],[f579,f192]) ).
fof(f808,plain,
( k11_isocat_2(sK0,sK1,sK2,sK3) = k2_isocat_1(sK0,sF18,sK1,sK3,k8_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f803,f123]) ).
fof(f809,plain,
( k11_isocat_2(sK0,sK1,sK2,sK4) = k2_isocat_1(sK0,sF18,sK1,sK4,k8_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f802,f123]) ).
fof(f818,plain,
k11_isocat_2(sK0,sK1,sK2,sK3) = k2_isocat_1(sK0,sF18,sK1,sK3,k8_isocat_2(sK1,sK2)),
inference(forward_subsumption_resolution,[],[f808,f122]) ).
fof(f819,plain,
k11_isocat_2(sK0,sK1,sK2,sK4) = k2_isocat_1(sK0,sF18,sK1,sK4,k8_isocat_2(sK1,sK2)),
inference(forward_subsumption_resolution,[],[f809,f122]) ).
fof(f828,plain,
k11_isocat_2(sK0,sK1,sK2,sK3) = k2_isocat_1(sK0,sF18,sK1,sK3,k16_cat_2(sK1,sK2)),
inference(forward_demodulation,[],[f818,f670]) ).
fof(f829,plain,
k11_isocat_2(sK0,sK1,sK2,sK4) = k2_isocat_1(sK0,sF18,sK1,sK4,k16_cat_2(sK1,sK2)),
inference(forward_demodulation,[],[f819,f670]) ).
fof(f838,plain,
sF14 = k2_isocat_1(sK0,sF18,sK1,sK3,k16_cat_2(sK1,sK2)),
inference(forward_demodulation,[],[f828,f180]) ).
fof(f839,plain,
sF15 = k2_isocat_1(sK0,sF18,sK1,sK4,k16_cat_2(sK1,sK2)),
inference(forward_demodulation,[],[f829,f182]) ).
fof(f851,plain,
( k12_isocat_2(sK0,sK1,sK2,sK4) = k2_isocat_1(sK0,sF18,sK2,sK4,k9_isocat_2(sK1,sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(resolution,[],[f622,f191]) ).
fof(f852,plain,
( k12_isocat_2(sK0,sK1,sK2,sK3) = k2_isocat_1(sK0,sF18,sK2,sK3,k9_isocat_2(sK1,sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(resolution,[],[f622,f192]) ).
fof(f857,plain,
( k12_isocat_2(sK0,sK1,sK2,sK3) = k2_isocat_1(sK0,sF18,sK2,sK3,k9_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f852,f123]) ).
fof(f858,plain,
( k12_isocat_2(sK0,sK1,sK2,sK4) = k2_isocat_1(sK0,sF18,sK2,sK4,k9_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f851,f123]) ).
fof(f867,plain,
k12_isocat_2(sK0,sK1,sK2,sK3) = k2_isocat_1(sK0,sF18,sK2,sK3,k9_isocat_2(sK1,sK2)),
inference(forward_subsumption_resolution,[],[f857,f122]) ).
fof(f868,plain,
k12_isocat_2(sK0,sK1,sK2,sK4) = k2_isocat_1(sK0,sF18,sK2,sK4,k9_isocat_2(sK1,sK2)),
inference(forward_subsumption_resolution,[],[f858,f122]) ).
fof(f877,plain,
k12_isocat_2(sK0,sK1,sK2,sK3) = k2_isocat_1(sK0,sF18,sK2,sK3,k17_cat_2(sK1,sK2)),
inference(forward_demodulation,[],[f867,f703]) ).
fof(f878,plain,
k12_isocat_2(sK0,sK1,sK2,sK4) = k2_isocat_1(sK0,sF18,sK2,sK4,k17_cat_2(sK1,sK2)),
inference(forward_demodulation,[],[f868,f703]) ).
fof(f887,plain,
sF16 = k2_isocat_1(sK0,sF18,sK2,sK3,k17_cat_2(sK1,sK2)),
inference(forward_demodulation,[],[f877,f184]) ).
fof(f888,plain,
sF17 = k2_isocat_1(sK0,sF18,sK2,sK4,k17_cat_2(sK1,sK2)),
inference(forward_demodulation,[],[f878,f186]) ).
fof(f1752,plain,
! [X2,X0,X1] :
( r2_nattra_1(sK0,X0,k2_isocat_1(sK0,sF18,X0,sK3,X1),k2_isocat_1(sK0,sF18,X0,sK4,X1))
| ~ m2_cat_1(X1,sF18,X0)
| ~ m2_cat_1(sK4,sK0,sF18)
| ~ m2_cat_1(sK3,sK0,sF18)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sF18)
| ~ l1_cat_1(sF18)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ m2_cat_1(X2,sF18,X0) ),
inference(resolution,[],[f631,f190]) ).
fof(f1758,plain,
! [X2,X0,X1] :
( r2_nattra_1(sK0,X0,k2_isocat_1(sK0,sF18,X0,sK3,X1),k2_isocat_1(sK0,sF18,X0,sK4,X1))
| ~ m2_cat_1(X1,sF18,X0)
| ~ m2_cat_1(sK3,sK0,sF18)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sF18)
| ~ l1_cat_1(sF18)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ m2_cat_1(X2,sF18,X0) ),
inference(forward_subsumption_resolution,[],[f1752,f191]) ).
fof(f1760,plain,
! [X2,X0,X1] :
( r2_nattra_1(sK0,X0,k2_isocat_1(sK0,sF18,X0,sK3,X1),k2_isocat_1(sK0,sF18,X0,sK4,X1))
| ~ m2_cat_1(X1,sF18,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sF18)
| ~ l1_cat_1(sF18)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ m2_cat_1(X2,sF18,X0) ),
inference(forward_subsumption_resolution,[],[f1758,f192]) ).
fof(f1761,plain,
( ! [X2,X0,X1] :
( r2_nattra_1(sK0,X0,k2_isocat_1(sK0,sF18,X0,sK3,X1),k2_isocat_1(sK0,sF18,X0,sK4,X1))
| ~ m2_cat_1(X1,sF18,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(sF18)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ m2_cat_1(X2,sF18,X0) )
| ~ spl19_5 ),
inference(forward_subsumption_resolution,[],[f1760,f285]) ).
fof(f1762,plain,
( ! [X2,X0,X1] :
( r2_nattra_1(sK0,X0,k2_isocat_1(sK0,sF18,X0,sK3,X1),k2_isocat_1(sK0,sF18,X0,sK4,X1))
| ~ m2_cat_1(X1,sF18,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ m2_cat_1(X2,sF18,X0) )
| ~ spl19_5 ),
inference(forward_subsumption_resolution,[],[f1761,f276]) ).
fof(f1763,plain,
( ! [X2,X0,X1] :
( r2_nattra_1(sK0,X0,k2_isocat_1(sK0,sF18,X0,sK3,X1),k2_isocat_1(sK0,sF18,X0,sK4,X1))
| ~ m2_cat_1(X1,sF18,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ m2_cat_1(X2,sF18,X0) )
| ~ spl19_5 ),
inference(forward_subsumption_resolution,[],[f1762,f123]) ).
fof(f1764,plain,
( ! [X2,X0,X1] :
( r2_nattra_1(sK0,X0,k2_isocat_1(sK0,sF18,X0,sK3,X1),k2_isocat_1(sK0,sF18,X0,sK4,X1))
| ~ m2_cat_1(X1,sF18,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,sF18,X0) )
| ~ spl19_5 ),
inference(forward_subsumption_resolution,[],[f1763,f122]) ).
fof(f4410,plain,
( ! [X0] :
( r2_nattra_1(sK0,sK1,sF14,k2_isocat_1(sK0,sF18,sK1,sK4,k16_cat_2(sK1,sK2)))
| ~ m2_cat_1(k16_cat_2(sK1,sK2),sF18,sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ m2_cat_1(X0,sF18,sK1) )
| ~ spl19_5 ),
inference(superposition,[],[f1764,f838]) ).
fof(f4413,plain,
( ! [X0] :
( r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,sF18,sK2,sK3,k17_cat_2(sK1,sK2)),sF17)
| ~ m2_cat_1(k17_cat_2(sK1,sK2),sF18,sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(X0,sF18,sK2) )
| ~ spl19_5 ),
inference(superposition,[],[f1764,f888]) ).
fof(f4416,plain,
( ! [X0] :
( r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,sF18,sK2,sK3,k17_cat_2(sK1,sK2)),sF17)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(X0,sF18,sK2) )
| ~ spl19_5 ),
inference(forward_subsumption_resolution,[],[f4413,f348]) ).
fof(f4419,plain,
( ! [X0] :
( r2_nattra_1(sK0,sK1,sF14,k2_isocat_1(sK0,sF18,sK1,sK4,k16_cat_2(sK1,sK2)))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ m2_cat_1(X0,sF18,sK1) )
| ~ spl19_5 ),
inference(forward_subsumption_resolution,[],[f4410,f343]) ).
fof(f4422,plain,
( ! [X0] :
( r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,sF18,sK2,sK3,k17_cat_2(sK1,sK2)),sF17)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(X0,sF18,sK2) )
| ~ spl19_5 ),
inference(forward_subsumption_resolution,[],[f4416,f127]) ).
fof(f4425,plain,
( ! [X0] :
( r2_nattra_1(sK0,sK1,sF14,k2_isocat_1(sK0,sF18,sK1,sK4,k16_cat_2(sK1,sK2)))
| ~ l1_cat_1(sK1)
| ~ m2_cat_1(X0,sF18,sK1) )
| ~ spl19_5 ),
inference(forward_subsumption_resolution,[],[f4419,f125]) ).
fof(f4428,plain,
( ! [X0] :
( r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,sF18,sK2,sK3,k17_cat_2(sK1,sK2)),sF17)
| ~ m2_cat_1(X0,sF18,sK2) )
| ~ spl19_5 ),
inference(forward_subsumption_resolution,[],[f4422,f126]) ).
fof(f4431,plain,
( ! [X0] :
( r2_nattra_1(sK0,sK1,sF14,k2_isocat_1(sK0,sF18,sK1,sK4,k16_cat_2(sK1,sK2)))
| ~ m2_cat_1(X0,sF18,sK1) )
| ~ spl19_5 ),
inference(forward_subsumption_resolution,[],[f4425,f124]) ).
fof(f4432,plain,
( ! [X0] :
( r2_nattra_1(sK0,sK2,sF16,sF17)
| ~ m2_cat_1(X0,sF18,sK2) )
| ~ spl19_5 ),
inference(forward_demodulation,[],[f4428,f887]) ).
fof(f4435,plain,
( ! [X0] :
( r2_nattra_1(sK0,sK1,sF14,sF15)
| ~ m2_cat_1(X0,sF18,sK1) )
| ~ spl19_5 ),
inference(forward_demodulation,[],[f4431,f839]) ).
fof(f4436,plain,
( ! [X0] : ~ m2_cat_1(X0,sF18,sK2)
| spl19_1
| ~ spl19_5 ),
inference(forward_subsumption_resolution,[],[f4432,f196]) ).
fof(f4438,definition,
( spl19_41
<=> ! [X0] : ~ m2_cat_1(X0,sF18,sK1) ),
introduced(definition,[new_symbols(definition,[spl19_41])],[avatar_definition]) ).
fof(f4439,plain,
( ! [X0] : ~ m2_cat_1(X0,sF18,sK1)
| ~ spl19_41 ),
inference(avatar_component_clause,[],[f4438]) ).
fof(f4442,plain,
( spl19_41
| spl19_2
| ~ spl19_5 ),
inference(avatar_split_clause,[],[f4435,f284,f198,f4438]) ).
fof(f4445,plain,
( ~ v2_cat_1(sF18)
| ~ l1_cat_1(sF18)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl19_1
| ~ spl19_5 ),
inference(resolution,[],[f4436,f168]) ).
fof(f4454,plain,
( ~ l1_cat_1(sF18)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl19_1
| ~ spl19_5 ),
inference(forward_subsumption_resolution,[],[f4445,f285]) ).
fof(f4458,plain,
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl19_1
| ~ spl19_5 ),
inference(forward_subsumption_resolution,[],[f4454,f276]) ).
fof(f4462,plain,
( ~ l1_cat_1(sK2)
| spl19_1
| ~ spl19_5 ),
inference(forward_subsumption_resolution,[],[f4458,f127]) ).
fof(f4466,plain,
( $false
| spl19_1
| ~ spl19_5 ),
inference(forward_subsumption_resolution,[],[f4462,f126]) ).
fof(f4467,plain,
( spl19_1
| ~ spl19_5 ),
inference(avatar_contradiction_clause,[],[f4466]) ).
fof(f4482,plain,
( $false
| ~ spl19_41 ),
inference(resolution,[],[f4439,f343]) ).
fof(f4489,plain,
~ spl19_41,
inference(avatar_contradiction_clause,[],[f4482]) ).
cnf(s1,plain,
( ~ spl19_1
| ~ spl19_2 ),
inference(sat_conversion,[],[f201]) ).
cnf(s9,plain,
spl19_5,
inference(sat_conversion,[],[f315]) ).
cnf(s40,plain,
( spl19_2
| ~ spl19_5
| spl19_41 ),
inference(sat_conversion,[],[f4442]) ).
cnf(s43,plain,
( spl19_1
| ~ spl19_5 ),
inference(sat_conversion,[],[f4467]) ).
cnf(s45,plain,
~ spl19_41,
inference(sat_conversion,[],[f4489]) ).
cnf(s47,plain,
( spl19_2
| ~ spl19_5 ),
inference(rat,[],[s40,s45]) ).
cnf(s63,plain,
spl19_1,
inference(rat,[],[s43,s9]) ).
cnf(s64,plain,
spl19_2,
inference(rat,[],[s47,s9]) ).
cnf(s78,plain,
$false,
inference(rat,[],[s1,s64,s63]) ).
fof(f4507,plain,
$false,
inference(avatar_sat_refutation,[],[s78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT026+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 % Computer : n017.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 21:12:52 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 Running first-order model finding
% 0.10/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.20/0.73 % (4041813)Will run a generic schedule for satisfiability detection.
% 3.20/0.73 % (4041819)% WARNING: option uhcvi not known.
% 3.20/0.73 % (4041819)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=187390323:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.20/0.73 % (4041818)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3289728990_2999 on theBenchmark for (2999ds/0Mi)
% 3.20/0.73 % (4041821)dis+10_1_sil=32000:sp=arity:random_seed=3940659994:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.20/0.73 % (4041820)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3204111455:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.20/0.73 % (4041822)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=762606655:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.20/0.73 % (4041823)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1644836491:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.20/0.73 % (4041824)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=851692604:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.20/0.73 % TRYING [1]
% 3.20/0.73 % TRYING [2]
% 3.20/0.73 % TRYING [3]
% 3.20/0.73 % TRYING [4]
% 3.20/0.73 % (4041821)Instruction limit reached!
% 3.20/0.73 % (4041821)------------------------------
% 3.20/0.73 % (4041821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/0.73 % (4041821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/0.73 % (4041821)CaDiCaL version: 2.1.3
% 3.20/0.73 % (4041821)Termination reason: Instruction limit
% 3.20/0.73 % (4041821)Termination phase: Saturation
% 3.20/0.73 % (4041821)Time elapsed: 0.061 s
% 3.20/0.73 % (4041821)Peak memory usage: 13 MB
% 3.20/0.73 % (4041821)Instructions burned: 106 (million)
% 3.20/0.73 % (4041822)Instruction limit reached!
% 3.20/0.73 % (4041822)------------------------------
% 3.20/0.73 % (4041822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/0.73 % (4041822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/0.73 % (4041822)CaDiCaL version: 2.1.3
% 3.20/0.73 % (4041822)Termination reason: Instruction limit
% 3.20/0.73 % (4041822)Termination phase: Saturation
% 3.20/0.73 % (4041822)Time elapsed: 0.061 s
% 3.20/0.73 % (4041822)Peak memory usage: 13 MB
% 3.20/0.73 % (4041822)Instructions burned: 117 (million)
% 3.20/0.73 % (4041823)Instruction limit reached!
% 3.20/0.73 % (4041823)------------------------------
% 3.20/0.73 % (4041823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/0.73 % (4041823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/0.73 % (4041823)CaDiCaL version: 2.1.3
% 3.20/0.73 % (4041823)Termination reason: Instruction limit
% 3.20/0.73 % (4041823)Termination phase: Saturation
% 3.20/0.73 % (4041823)Time elapsed: 0.070 s
% 3.20/0.73 % (4041823)Peak memory usage: 14 MB
% 3.20/0.73 % (4041823)Instructions burned: 131 (million)
% 3.20/0.73 % (4041833)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3026545959:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 3.20/0.73 % (4041832)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3974253686:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 3.20/0.73 % TRYING [1]
% 3.20/0.73 % TRYING [2]
% 3.20/0.73 % TRYING [3]
% 3.20/0.73 % (4041834)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2297861285:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 3.20/0.73 % (4041824)Instruction limit reached!
% 3.20/0.73 % (4041824)------------------------------
% 3.20/0.73 % (4041824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/0.73 % (4041824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/0.73 % (4041824)CaDiCaL version: 2.1.3
% 3.20/0.73 % (4041824)Termination reason: Instruction limit
% 3.20/0.73 % (4041824)Termination phase: Saturation
% 3.20/0.73 % (4041824)Time elapsed: 0.109 s
% 3.20/0.73 % (4041824)Peak memory usage: 15 MB
% 3.20/0.73 % (4041824)Instructions burned: 160 (million)
% 3.20/0.73 % TRYING [4]
% 3.20/0.73 % (4041838)ott-21_1_sil=16000:fs=off:random_seed=3359614496:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.20/0.73 % (4041833)Instruction limit reached!
% 3.20/0.73 % (4041833)------------------------------
% 3.20/0.73 % (4041833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/0.73 % (4041833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/0.73 % (4041833)CaDiCaL version: 2.1.3
% 3.20/0.73 % (4041833)Termination reason: Instruction limit
% 3.20/0.73 % (4041833)Termination phase: Saturation
% 3.20/0.73 % (4041833)Time elapsed: 0.068 s
% 3.20/0.73 % (4041833)Peak memory usage: 13 MB
% 3.20/0.73 % (4041833)Instructions burned: 132 (million)
% 3.20/0.73 % (4041840)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3954984573:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 3.20/0.73 % (4041838)Instruction limit reached!
% 3.20/0.73 % (4041838)------------------------------
% 3.20/0.73 % (4041838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/0.73 % (4041838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/0.73 % (4041838)CaDiCaL version: 2.1.3
% 3.20/0.73 % (4041838)Termination reason: Instruction limit
% 3.20/0.73 % (4041838)Termination phase: Saturation
% 3.20/0.73 % (4041838)Time elapsed: 0.097 s
% 3.20/0.73 % (4041838)Peak memory usage: 13 MB
% 3.20/0.73 % (4041838)Instructions burned: 181 (million)
% 3.20/0.73 % TRYING [5]
% 3.20/0.73 % (4041842)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=76344721:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 3.20/0.73 % TRYING [1]
% 3.20/0.73 % TRYING [2]
% 3.20/0.73 % TRYING [3]
% 3.20/0.73 % (4041832)Instruction limit reached!
% 3.20/0.73 % (4041832)------------------------------
% 3.20/0.73 % (4041832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/0.73 % (4041832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/0.73 % (4041832)CaDiCaL version: 2.1.3
% 3.20/0.73 % (4041832)Termination reason: Instruction limit
% 3.20/0.73 % (4041832)Termination phase: Finite model building constraint generation
% 3.20/0.73 % (4041832)Time elapsed: 0.244 s
% 3.20/0.73 % (4041832)Peak memory usage: 36 MB
% 3.20/0.73 % (4041832)Instructions burned: 714 (million)
% 3.20/0.73 % TRYING [4]
% 3.20/0.73 % (4041844)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=697503034:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 3.20/0.73 % (4041844) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4041813-4041844"...
% 3.20/0.73 % (4041844)...printing done.
% 3.20/0.73 % (4041844)Refutation found. Thanks to Tanya!
% 3.20/0.73 % SZS status Theorem for theBenchmark
% 3.20/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 3.20/0.74 % (4041844)------------------------------
% 3.20/0.74 % (4041844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/0.74 % (4041844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/0.74 % (4041844)CaDiCaL version: 2.1.3
% 3.20/0.74 % (4041844)Termination reason: Refutation
% 3.20/0.74 % (4041844)Time elapsed: 0.103 s
% 3.20/0.74 % (4041844)Peak memory usage: 15 MB
% 3.20/0.74 % (4041844)Instructions burned: 176 (million)
% 3.20/0.74 % (4041813)Success in time 0.5 s
% 3.20/0.74 % Vampire exiting
%------------------------------------------------------------------------------