%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CAT034+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 09:36:48 AM UTC 2026
% Result : Theorem 57.42s 8.70s
% Output : Refutation 58.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 23
% Syntax : Number of formulae : 138 ( 24 unt; 12 def)
% Number of atoms : 558 ( 47 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 693 ( 273 ~; 267 |; 82 &)
% ( 19 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 13 prp; 0-5 aty)
% Number of functors : 22 ( 22 usr; 2 con; 0-7 aty)
% Number of variables : 156 ( 0 sgn 142 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f467,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f3230,axiom,
! [X0,X1] :
( ( l1_cat_1(X0)
& m1_subset_1(X1,u2_cat_1(X0)) )
=> m1_subset_1(k2_cat_1(X0,X1),u1_cat_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_cat_1) ).
fof(f3231,axiom,
! [X0,X1] :
( ( l1_cat_1(X0)
& m1_subset_1(X1,u2_cat_1(X0)) )
=> m1_subset_1(k3_cat_1(X0,X1),u1_cat_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_cat_1) ).
fof(f3524,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] :
( m2_cat_1(X3,X0,X1)
=> ! [X4] :
( m2_nattra_1(X4,X0,X1,X2,X3)
=> ( r2_nattra_1(X0,X1,X2,X3)
<=> r2_hidden(k4_tarski(k4_tarski(X2,X3),X4),k11_nattra_1(X0,X1)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_nattra_1) ).
fof(f3525,axiom,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v1_cat_1(X2)
& v2_cat_1(X2)
& l1_cat_1(X2) )
=> ( X2 = k12_nattra_1(X0,X1)
<=> ( u1_cat_1(X2) = k7_cat_2(X0,X1)
& u2_cat_1(X2) = k11_nattra_1(X0,X1)
& ! [X3] :
( m1_subset_1(X3,u2_cat_1(X2))
=> ( k2_cat_1(X2,X3) = k1_mcart_1(k1_mcart_1(X3))
& k3_cat_1(X2,X3) = k2_mcart_1(k1_mcart_1(X3)) ) )
& ! [X3] :
( m1_subset_1(X3,u2_cat_1(X2))
=> ! [X4] :
( m1_subset_1(X4,u2_cat_1(X2))
=> ( k2_cat_1(X2,X4) = k3_cat_1(X2,X3)
=> r2_hidden(k13_cat_2(X2,X2,X4,X3),k1_relat_1(u5_cat_1(X2))) ) ) )
& ! [X3] :
( m1_subset_1(X3,u2_cat_1(X2))
=> ! [X4] :
( m1_subset_1(X4,u2_cat_1(X2))
=> ~ ( r2_hidden(k13_cat_2(X2,X2,X4,X3),k1_relat_1(u5_cat_1(X2)))
& ! [X5] :
( m2_cat_1(X5,X0,X1)
=> ! [X6] :
( m2_cat_1(X6,X0,X1)
=> ! [X7] :
( m2_cat_1(X7,X0,X1)
=> ! [X8] :
( m2_nattra_1(X8,X0,X1,X5,X6)
=> ! [X9] :
( m2_nattra_1(X9,X0,X1,X6,X7)
=> ~ ( X3 = k4_tarski(k4_tarski(X5,X6),X8)
& X4 = k4_tarski(k4_tarski(X6,X7),X9)
& k1_funct_1(u5_cat_1(X2),k13_cat_2(X2,X2,X4,X3)) = k4_tarski(k4_tarski(X5,X7),k8_nattra_1(X0,X1,X5,X6,X7,X8,X9)) ) ) ) ) ) ) ) ) )
& ! [X3] :
( m1_subset_1(X3,u1_cat_1(X2))
=> ! [X4] :
( m2_cat_1(X4,X0,X1)
=> ( X4 = X3
=> k10_cat_1(X2,X3) = k4_tarski(k4_tarski(X4,X4),k7_nattra_1(X0,X1,X4)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d18_nattra_1) ).
fof(f3576,axiom,
! [X0,X1] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1) )
=> ( v1_cat_1(k12_nattra_1(X0,X1))
& v2_cat_1(k12_nattra_1(X0,X1))
& l1_cat_1(k12_nattra_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k12_nattra_1) ).
fof(f3795,axiom,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ( v2_cat_1(k1_yoneda_1(X0))
& l1_cat_1(k1_yoneda_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_yoneda_1) ).
fof(f3796,axiom,
! [X0,X1] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& m1_subset_1(X1,u1_cat_1(X0)) )
=> m2_cat_1(k2_yoneda_1(X0,X1),X0,k1_yoneda_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_yoneda_1) ).
fof(f3797,axiom,
! [X0,X1] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& m1_subset_1(X1,u2_cat_1(X0)) )
=> m2_nattra_1(k3_yoneda_1(X0,X1),X0,k1_yoneda_1(X0),k2_yoneda_1(X0,k3_cat_1(X0,X1)),k2_yoneda_1(X0,k2_cat_1(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_yoneda_1) ).
fof(f3804,axiom,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u2_cat_1(X0))
=> r2_nattra_1(X0,k1_yoneda_1(X0),k2_yoneda_1(X0,k3_cat_1(X0,X1)),k2_yoneda_1(X0,k2_cat_1(X0,X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_yoneda_1) ).
fof(f3806,conjecture,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u2_cat_1(X0))
=> m1_subset_1(k4_tarski(k4_tarski(k2_yoneda_1(X0,k3_cat_1(X0,X1)),k2_yoneda_1(X0,k2_cat_1(X0,X1))),k3_yoneda_1(X0,X1)),u2_cat_1(k12_nattra_1(X0,k1_yoneda_1(X0)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_yoneda_1) ).
fof(f3807,negated_conjecture,
~ ! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u2_cat_1(X0))
=> m1_subset_1(k4_tarski(k4_tarski(k2_yoneda_1(X0,k3_cat_1(X0,X1)),k2_yoneda_1(X0,k2_cat_1(X0,X1))),k3_yoneda_1(X0,X1)),u2_cat_1(k12_nattra_1(X0,k1_yoneda_1(X0)))) ) ),
inference(negated_conjecture,[status(cth)],[f3806]) ).
fof(f3812,plain,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v1_cat_1(X2)
& v2_cat_1(X2)
& l1_cat_1(X2) )
=> ( X2 = k12_nattra_1(X0,X1)
<=> ( u1_cat_1(X2) = k7_cat_2(X0,X1)
& u2_cat_1(X2) = k11_nattra_1(X0,X1)
& ! [X3] :
( m1_subset_1(X3,u2_cat_1(X2))
=> ( k2_cat_1(X2,X3) = k1_mcart_1(k1_mcart_1(X3))
& k3_cat_1(X2,X3) = k2_mcart_1(k1_mcart_1(X3)) ) )
& ! [X4] :
( m1_subset_1(X4,u2_cat_1(X2))
=> ! [X5] :
( m1_subset_1(X5,u2_cat_1(X2))
=> ( k3_cat_1(X2,X4) = k2_cat_1(X2,X5)
=> r2_hidden(k13_cat_2(X2,X2,X5,X4),k1_relat_1(u5_cat_1(X2))) ) ) )
& ! [X6] :
( m1_subset_1(X6,u2_cat_1(X2))
=> ! [X7] :
( m1_subset_1(X7,u2_cat_1(X2))
=> ~ ( r2_hidden(k13_cat_2(X2,X2,X7,X6),k1_relat_1(u5_cat_1(X2)))
& ! [X8] :
( m2_cat_1(X8,X0,X1)
=> ! [X9] :
( m2_cat_1(X9,X0,X1)
=> ! [X10] :
( m2_cat_1(X10,X0,X1)
=> ! [X11] :
( m2_nattra_1(X11,X0,X1,X8,X9)
=> ! [X12] :
( m2_nattra_1(X12,X0,X1,X9,X10)
=> ~ ( k4_tarski(k4_tarski(X8,X9),X11) = X6
& k4_tarski(k4_tarski(X9,X10),X12) = X7
& k1_funct_1(u5_cat_1(X2),k13_cat_2(X2,X2,X7,X6)) = k4_tarski(k4_tarski(X8,X10),k8_nattra_1(X0,X1,X8,X9,X10,X11,X12)) ) ) ) ) ) ) ) ) )
& ! [X13] :
( m1_subset_1(X13,u1_cat_1(X2))
=> ! [X14] :
( m2_cat_1(X14,X0,X1)
=> ( X13 = X14
=> k10_cat_1(X2,X13) = k4_tarski(k4_tarski(X14,X14),k7_nattra_1(X0,X1,X14)) ) ) ) ) ) ) ) ),
inference(rectify,[],[f3525]) ).
fof(f3836,plain,
? [X0] :
( ? [X1] :
( ~ m1_subset_1(k4_tarski(k4_tarski(k2_yoneda_1(X0,k3_cat_1(X0,X1)),k2_yoneda_1(X0,k2_cat_1(X0,X1))),k3_yoneda_1(X0,X1)),u2_cat_1(k12_nattra_1(X0,k1_yoneda_1(X0))))
& m1_subset_1(X1,u2_cat_1(X0)) )
& v2_cat_1(X0)
& l1_cat_1(X0) ),
inference(ennf_transformation,[],[f3807]) ).
fof(f3837,plain,
? [X0] :
( ? [X1] :
( ~ m1_subset_1(k4_tarski(k4_tarski(k2_yoneda_1(X0,k3_cat_1(X0,X1)),k2_yoneda_1(X0,k2_cat_1(X0,X1))),k3_yoneda_1(X0,X1)),u2_cat_1(k12_nattra_1(X0,k1_yoneda_1(X0))))
& m1_subset_1(X1,u2_cat_1(X0)) )
& v2_cat_1(X0)
& l1_cat_1(X0) ),
inference(flattening,[],[f3836]) ).
fof(f3891,plain,
! [X0,X1] :
( m1_subset_1(k2_cat_1(X0,X1),u1_cat_1(X0))
| ~ l1_cat_1(X0)
| ~ m1_subset_1(X1,u2_cat_1(X0)) ),
inference(ennf_transformation,[],[f3230]) ).
fof(f3892,plain,
! [X0,X1] :
( m1_subset_1(k2_cat_1(X0,X1),u1_cat_1(X0))
| ~ l1_cat_1(X0)
| ~ m1_subset_1(X1,u2_cat_1(X0)) ),
inference(flattening,[],[f3891]) ).
fof(f3895,plain,
! [X0,X1] :
( m1_subset_1(k3_cat_1(X0,X1),u1_cat_1(X0))
| ~ l1_cat_1(X0)
| ~ m1_subset_1(X1,u2_cat_1(X0)) ),
inference(ennf_transformation,[],[f3231]) ).
fof(f3896,plain,
! [X0,X1] :
( m1_subset_1(k3_cat_1(X0,X1),u1_cat_1(X0))
| ~ l1_cat_1(X0)
| ~ m1_subset_1(X1,u2_cat_1(X0)) ),
inference(flattening,[],[f3895]) ).
fof(f3899,plain,
! [X0,X1] :
( ( v1_cat_1(k12_nattra_1(X0,X1))
& v2_cat_1(k12_nattra_1(X0,X1))
& l1_cat_1(k12_nattra_1(X0,X1)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(ennf_transformation,[],[f3576]) ).
fof(f3900,plain,
! [X0,X1] :
( ( v1_cat_1(k12_nattra_1(X0,X1))
& v2_cat_1(k12_nattra_1(X0,X1))
& l1_cat_1(k12_nattra_1(X0,X1)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(flattening,[],[f3899]) ).
fof(f3911,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k12_nattra_1(X0,X1)
<=> ( u1_cat_1(X2) = k7_cat_2(X0,X1)
& u2_cat_1(X2) = k11_nattra_1(X0,X1)
& ! [X3] :
( ( k2_cat_1(X2,X3) = k1_mcart_1(k1_mcart_1(X3))
& k3_cat_1(X2,X3) = k2_mcart_1(k1_mcart_1(X3)) )
| ~ m1_subset_1(X3,u2_cat_1(X2)) )
& ! [X4] :
( ! [X5] :
( r2_hidden(k13_cat_2(X2,X2,X5,X4),k1_relat_1(u5_cat_1(X2)))
| k3_cat_1(X2,X4) != k2_cat_1(X2,X5)
| ~ m1_subset_1(X5,u2_cat_1(X2)) )
| ~ m1_subset_1(X4,u2_cat_1(X2)) )
& ! [X6] :
( ! [X7] :
( ~ r2_hidden(k13_cat_2(X2,X2,X7,X6),k1_relat_1(u5_cat_1(X2)))
| ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( k4_tarski(k4_tarski(X8,X9),X11) = X6
& k4_tarski(k4_tarski(X9,X10),X12) = X7
& k1_funct_1(u5_cat_1(X2),k13_cat_2(X2,X2,X7,X6)) = k4_tarski(k4_tarski(X8,X10),k8_nattra_1(X0,X1,X8,X9,X10,X11,X12))
& m2_nattra_1(X12,X0,X1,X9,X10) )
& m2_nattra_1(X11,X0,X1,X8,X9) )
& m2_cat_1(X10,X0,X1) )
& m2_cat_1(X9,X0,X1) )
& m2_cat_1(X8,X0,X1) )
| ~ m1_subset_1(X7,u2_cat_1(X2)) )
| ~ m1_subset_1(X6,u2_cat_1(X2)) )
& ! [X13] :
( ! [X14] :
( k10_cat_1(X2,X13) = k4_tarski(k4_tarski(X14,X14),k7_nattra_1(X0,X1,X14))
| X13 != X14
| ~ m2_cat_1(X14,X0,X1) )
| ~ m1_subset_1(X13,u1_cat_1(X2)) ) ) )
| ~ v1_cat_1(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,[],[f3812]) ).
fof(f3912,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k12_nattra_1(X0,X1)
<=> ( u1_cat_1(X2) = k7_cat_2(X0,X1)
& u2_cat_1(X2) = k11_nattra_1(X0,X1)
& ! [X3] :
( ( k2_cat_1(X2,X3) = k1_mcart_1(k1_mcart_1(X3))
& k3_cat_1(X2,X3) = k2_mcart_1(k1_mcart_1(X3)) )
| ~ m1_subset_1(X3,u2_cat_1(X2)) )
& ! [X4] :
( ! [X5] :
( r2_hidden(k13_cat_2(X2,X2,X5,X4),k1_relat_1(u5_cat_1(X2)))
| k3_cat_1(X2,X4) != k2_cat_1(X2,X5)
| ~ m1_subset_1(X5,u2_cat_1(X2)) )
| ~ m1_subset_1(X4,u2_cat_1(X2)) )
& ! [X6] :
( ! [X7] :
( ~ r2_hidden(k13_cat_2(X2,X2,X7,X6),k1_relat_1(u5_cat_1(X2)))
| ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( k4_tarski(k4_tarski(X8,X9),X11) = X6
& k4_tarski(k4_tarski(X9,X10),X12) = X7
& k1_funct_1(u5_cat_1(X2),k13_cat_2(X2,X2,X7,X6)) = k4_tarski(k4_tarski(X8,X10),k8_nattra_1(X0,X1,X8,X9,X10,X11,X12))
& m2_nattra_1(X12,X0,X1,X9,X10) )
& m2_nattra_1(X11,X0,X1,X8,X9) )
& m2_cat_1(X10,X0,X1) )
& m2_cat_1(X9,X0,X1) )
& m2_cat_1(X8,X0,X1) )
| ~ m1_subset_1(X7,u2_cat_1(X2)) )
| ~ m1_subset_1(X6,u2_cat_1(X2)) )
& ! [X13] :
( ! [X14] :
( k10_cat_1(X2,X13) = k4_tarski(k4_tarski(X14,X14),k7_nattra_1(X0,X1,X14))
| X13 != X14
| ~ m2_cat_1(X14,X0,X1) )
| ~ m1_subset_1(X13,u1_cat_1(X2)) ) ) )
| ~ v1_cat_1(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,[],[f3911]) ).
fof(f3915,plain,
! [X0] :
( ! [X1] :
( r2_nattra_1(X0,k1_yoneda_1(X0),k2_yoneda_1(X0,k3_cat_1(X0,X1)),k2_yoneda_1(X0,k2_cat_1(X0,X1)))
| ~ m1_subset_1(X1,u2_cat_1(X0)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f3804]) ).
fof(f3916,plain,
! [X0] :
( ! [X1] :
( r2_nattra_1(X0,k1_yoneda_1(X0),k2_yoneda_1(X0,k3_cat_1(X0,X1)),k2_yoneda_1(X0,k2_cat_1(X0,X1)))
| ~ m1_subset_1(X1,u2_cat_1(X0)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f3915]) ).
fof(f3923,plain,
! [X0,X1] :
( m2_nattra_1(k3_yoneda_1(X0,X1),X0,k1_yoneda_1(X0),k2_yoneda_1(X0,k3_cat_1(X0,X1)),k2_yoneda_1(X0,k2_cat_1(X0,X1)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m1_subset_1(X1,u2_cat_1(X0)) ),
inference(ennf_transformation,[],[f3797]) ).
fof(f3924,plain,
! [X0,X1] :
( m2_nattra_1(k3_yoneda_1(X0,X1),X0,k1_yoneda_1(X0),k2_yoneda_1(X0,k3_cat_1(X0,X1)),k2_yoneda_1(X0,k2_cat_1(X0,X1)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m1_subset_1(X1,u2_cat_1(X0)) ),
inference(flattening,[],[f3923]) ).
fof(f3925,plain,
! [X0,X1] :
( m2_cat_1(k2_yoneda_1(X0,X1),X0,k1_yoneda_1(X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m1_subset_1(X1,u1_cat_1(X0)) ),
inference(ennf_transformation,[],[f3796]) ).
fof(f3926,plain,
! [X0,X1] :
( m2_cat_1(k2_yoneda_1(X0,X1),X0,k1_yoneda_1(X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m1_subset_1(X1,u1_cat_1(X0)) ),
inference(flattening,[],[f3925]) ).
fof(f3927,plain,
! [X0] :
( ( v2_cat_1(k1_yoneda_1(X0))
& l1_cat_1(k1_yoneda_1(X0)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f3795]) ).
fof(f3928,plain,
! [X0] :
( ( v2_cat_1(k1_yoneda_1(X0))
& l1_cat_1(k1_yoneda_1(X0)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f3927]) ).
fof(f3935,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f467]) ).
fof(f4463,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( r2_nattra_1(X0,X1,X2,X3)
<=> r2_hidden(k4_tarski(k4_tarski(X2,X3),X4),k11_nattra_1(X0,X1)) )
| ~ m2_nattra_1(X4,X0,X1,X2,X3) )
| ~ m2_cat_1(X3,X0,X1) )
| ~ 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,[],[f3524]) ).
fof(f4464,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( r2_nattra_1(X0,X1,X2,X3)
<=> r2_hidden(k4_tarski(k4_tarski(X2,X3),X4),k11_nattra_1(X0,X1)) )
| ~ m2_nattra_1(X4,X0,X1,X2,X3) )
| ~ m2_cat_1(X3,X0,X1) )
| ~ m2_cat_1(X2,X0,X1) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f4463]) ).
fof(f4640,plain,
m1_subset_1(sK1,u2_cat_1(sK0)),
inference(cnf_transformation,[],[f3837]) ).
fof(f4641,plain,
~ m1_subset_1(k4_tarski(k4_tarski(k2_yoneda_1(sK0,k3_cat_1(sK0,sK1)),k2_yoneda_1(sK0,k2_cat_1(sK0,sK1))),k3_yoneda_1(sK0,sK1)),u2_cat_1(k12_nattra_1(sK0,k1_yoneda_1(sK0)))),
inference(cnf_transformation,[],[f3837]) ).
fof(f4642,plain,
l1_cat_1(sK0),
inference(cnf_transformation,[],[f3837]) ).
fof(f4643,plain,
v2_cat_1(sK0),
inference(cnf_transformation,[],[f3837]) ).
fof(f4768,plain,
! [X0,X1] :
( m1_subset_1(k2_cat_1(X0,X1),u1_cat_1(X0))
| ~ l1_cat_1(X0)
| ~ m1_subset_1(X1,u2_cat_1(X0)) ),
inference(cnf_transformation,[],[f3892]) ).
fof(f4773,plain,
! [X0,X1] :
( m1_subset_1(k3_cat_1(X0,X1),u1_cat_1(X0))
| ~ l1_cat_1(X0)
| ~ m1_subset_1(X1,u2_cat_1(X0)) ),
inference(cnf_transformation,[],[f3896]) ).
fof(f4775,plain,
! [X0,X1] :
( l1_cat_1(k12_nattra_1(X0,X1))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f3900]) ).
fof(f4776,plain,
! [X0,X1] :
( v2_cat_1(k12_nattra_1(X0,X1))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f3900]) ).
fof(f4777,plain,
! [X0,X1] :
( v1_cat_1(k12_nattra_1(X0,X1))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f3900]) ).
fof(f4829,plain,
! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ v1_cat_1(X2)
| u2_cat_1(X2) = k11_nattra_1(X0,X1)
| k12_nattra_1(X0,X1) != X2 ),
inference(cnf_transformation,[],[f3912]) ).
fof(f4834,plain,
! [X0,X1] :
( r2_nattra_1(X0,k1_yoneda_1(X0),k2_yoneda_1(X0,k3_cat_1(X0,X1)),k2_yoneda_1(X0,k2_cat_1(X0,X1)))
| ~ v2_cat_1(X0)
| ~ m1_subset_1(X1,u2_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f3916]) ).
fof(f4838,plain,
! [X0,X1] :
( m2_nattra_1(k3_yoneda_1(X0,X1),X0,k1_yoneda_1(X0),k2_yoneda_1(X0,k3_cat_1(X0,X1)),k2_yoneda_1(X0,k2_cat_1(X0,X1)))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m1_subset_1(X1,u2_cat_1(X0)) ),
inference(cnf_transformation,[],[f3924]) ).
fof(f4839,plain,
! [X0,X1] :
( m2_cat_1(k2_yoneda_1(X0,X1),X0,k1_yoneda_1(X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m1_subset_1(X1,u1_cat_1(X0)) ),
inference(cnf_transformation,[],[f3926]) ).
fof(f4840,plain,
! [X0] :
( l1_cat_1(k1_yoneda_1(X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f3928]) ).
fof(f4841,plain,
! [X0] :
( v2_cat_1(k1_yoneda_1(X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f3928]) ).
fof(f4847,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f3935]) ).
fof(f5703,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(k4_tarski(k4_tarski(X2,X3),X4),k11_nattra_1(X0,X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_nattra_1(X4,X0,X1,X2,X3)
| ~ l1_cat_1(X0)
| ~ r2_nattra_1(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f4464]) ).
fof(f5907,plain,
! [X0,X1] :
( k11_nattra_1(X0,X1) = u2_cat_1(k12_nattra_1(X0,X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k12_nattra_1(X0,X1))
| ~ v2_cat_1(k12_nattra_1(X0,X1))
| ~ v1_cat_1(k12_nattra_1(X0,X1))
| ~ l1_cat_1(X0) ),
inference(equality_resolution,[],[f4829]) ).
fof(f6043,plain,
( ~ m1_subset_1(k4_tarski(k4_tarski(k2_yoneda_1(sK0,k3_cat_1(sK0,sK1)),k2_yoneda_1(sK0,k2_cat_1(sK0,sK1))),k3_yoneda_1(sK0,sK1)),k11_nattra_1(sK0,k1_yoneda_1(sK0)))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(k1_yoneda_1(sK0))
| ~ v2_cat_1(k1_yoneda_1(sK0))
| ~ l1_cat_1(k12_nattra_1(sK0,k1_yoneda_1(sK0)))
| ~ v2_cat_1(k12_nattra_1(sK0,k1_yoneda_1(sK0)))
| ~ v1_cat_1(k12_nattra_1(sK0,k1_yoneda_1(sK0)))
| ~ l1_cat_1(sK0) ),
inference(superposition,[],[f4641,f5907]) ).
fof(f6044,plain,
( ~ m1_subset_1(k4_tarski(k4_tarski(k2_yoneda_1(sK0,k3_cat_1(sK0,sK1)),k2_yoneda_1(sK0,k2_cat_1(sK0,sK1))),k3_yoneda_1(sK0,sK1)),k11_nattra_1(sK0,k1_yoneda_1(sK0)))
| ~ l1_cat_1(k1_yoneda_1(sK0))
| ~ v2_cat_1(k1_yoneda_1(sK0))
| ~ l1_cat_1(k12_nattra_1(sK0,k1_yoneda_1(sK0)))
| ~ v2_cat_1(k12_nattra_1(sK0,k1_yoneda_1(sK0)))
| ~ v1_cat_1(k12_nattra_1(sK0,k1_yoneda_1(sK0))) ),
inference(global_subsumption,[],[f6043,f4643,f4642]) ).
fof(f6060,definition,
( spl259_3
<=> v1_cat_1(k12_nattra_1(sK0,k1_yoneda_1(sK0))) ),
introduced(definition,[new_symbols(definition,[spl259_3])],[avatar_definition]) ).
fof(f6062,plain,
( ~ v1_cat_1(k12_nattra_1(sK0,k1_yoneda_1(sK0)))
| spl259_3 ),
inference(avatar_component_clause,[],[f6060]) ).
fof(f6064,definition,
( spl259_4
<=> v2_cat_1(k12_nattra_1(sK0,k1_yoneda_1(sK0))) ),
introduced(definition,[new_symbols(definition,[spl259_4])],[avatar_definition]) ).
fof(f6066,plain,
( ~ v2_cat_1(k12_nattra_1(sK0,k1_yoneda_1(sK0)))
| spl259_4 ),
inference(avatar_component_clause,[],[f6064]) ).
fof(f6068,definition,
( spl259_5
<=> l1_cat_1(k12_nattra_1(sK0,k1_yoneda_1(sK0))) ),
introduced(definition,[new_symbols(definition,[spl259_5])],[avatar_definition]) ).
fof(f6070,plain,
( ~ l1_cat_1(k12_nattra_1(sK0,k1_yoneda_1(sK0)))
| spl259_5 ),
inference(avatar_component_clause,[],[f6068]) ).
fof(f6072,definition,
( spl259_6
<=> v2_cat_1(k1_yoneda_1(sK0)) ),
introduced(definition,[new_symbols(definition,[spl259_6])],[avatar_definition]) ).
fof(f6074,plain,
( ~ v2_cat_1(k1_yoneda_1(sK0))
| spl259_6 ),
inference(avatar_component_clause,[],[f6072]) ).
fof(f6076,definition,
( spl259_7
<=> l1_cat_1(k1_yoneda_1(sK0)) ),
introduced(definition,[new_symbols(definition,[spl259_7])],[avatar_definition]) ).
fof(f6078,plain,
( ~ l1_cat_1(k1_yoneda_1(sK0))
| spl259_7 ),
inference(avatar_component_clause,[],[f6076]) ).
fof(f6080,definition,
( spl259_8
<=> m1_subset_1(k4_tarski(k4_tarski(k2_yoneda_1(sK0,k3_cat_1(sK0,sK1)),k2_yoneda_1(sK0,k2_cat_1(sK0,sK1))),k3_yoneda_1(sK0,sK1)),k11_nattra_1(sK0,k1_yoneda_1(sK0))) ),
introduced(definition,[new_symbols(definition,[spl259_8])],[avatar_definition]) ).
fof(f6082,plain,
( ~ m1_subset_1(k4_tarski(k4_tarski(k2_yoneda_1(sK0,k3_cat_1(sK0,sK1)),k2_yoneda_1(sK0,k2_cat_1(sK0,sK1))),k3_yoneda_1(sK0,sK1)),k11_nattra_1(sK0,k1_yoneda_1(sK0)))
| spl259_8 ),
inference(avatar_component_clause,[],[f6080]) ).
fof(f6083,plain,
( ~ spl259_3
| ~ spl259_4
| ~ spl259_5
| ~ spl259_6
| ~ spl259_7
| ~ spl259_8 ),
inference(avatar_split_clause,[],[f6044,f6080,f6076,f6072,f6068,f6064,f6060]) ).
fof(f6085,definition,
( spl259_9
<=> m1_subset_1(k2_cat_1(sK0,sK1),u1_cat_1(sK0)) ),
introduced(definition,[new_symbols(definition,[spl259_9])],[avatar_definition]) ).
fof(f6087,plain,
( ~ m1_subset_1(k2_cat_1(sK0,sK1),u1_cat_1(sK0))
| spl259_9 ),
inference(avatar_component_clause,[],[f6085]) ).
fof(f6103,definition,
( spl259_13
<=> m1_subset_1(k3_cat_1(sK0,sK1),u1_cat_1(sK0)) ),
introduced(definition,[new_symbols(definition,[spl259_13])],[avatar_definition]) ).
fof(f6105,plain,
( ~ m1_subset_1(k3_cat_1(sK0,sK1),u1_cat_1(sK0))
| spl259_13 ),
inference(avatar_component_clause,[],[f6103]) ).
fof(f6116,plain,
( ~ v2_cat_1(k1_yoneda_1(sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(k1_yoneda_1(sK0))
| spl259_4 ),
inference(resolution,[],[f6066,f4776]) ).
fof(f6117,plain,
( ~ v2_cat_1(k1_yoneda_1(sK0))
| ~ l1_cat_1(k1_yoneda_1(sK0))
| spl259_4 ),
inference(global_subsumption,[],[f6116,f4643,f4642]) ).
fof(f6118,plain,
( ~ spl259_7
| ~ spl259_6
| spl259_4 ),
inference(avatar_split_clause,[],[f6117,f6064,f6072,f6076]) ).
fof(f6119,plain,
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| spl259_6 ),
inference(resolution,[],[f6074,f4841]) ).
fof(f6120,plain,
( $false
| spl259_6 ),
inference(global_subsumption,[],[f6119,f4643,f4642]) ).
fof(f6121,plain,
spl259_6,
inference(avatar_contradiction_clause,[],[f6120]) ).
fof(f6122,plain,
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| spl259_7 ),
inference(resolution,[],[f6078,f4840]) ).
fof(f6123,plain,
( $false
| spl259_7 ),
inference(global_subsumption,[],[f6122,f4643,f4642]) ).
fof(f6124,plain,
spl259_7,
inference(avatar_contradiction_clause,[],[f6123]) ).
fof(f6125,plain,
( ~ v2_cat_1(k1_yoneda_1(sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(k1_yoneda_1(sK0))
| spl259_3 ),
inference(resolution,[],[f6062,f4777]) ).
fof(f6126,plain,
( ~ v2_cat_1(k1_yoneda_1(sK0))
| ~ l1_cat_1(k1_yoneda_1(sK0))
| spl259_3 ),
inference(global_subsumption,[],[f6125,f4643,f4642]) ).
fof(f6127,plain,
( ~ spl259_7
| ~ spl259_6
| spl259_3 ),
inference(avatar_split_clause,[],[f6126,f6060,f6072,f6076]) ).
fof(f6128,plain,
( ~ v2_cat_1(k1_yoneda_1(sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(k1_yoneda_1(sK0))
| spl259_5 ),
inference(resolution,[],[f6070,f4775]) ).
fof(f6129,plain,
( ~ v2_cat_1(k1_yoneda_1(sK0))
| ~ l1_cat_1(k1_yoneda_1(sK0))
| spl259_5 ),
inference(global_subsumption,[],[f6128,f4643,f4642]) ).
fof(f6130,plain,
( ~ spl259_7
| ~ spl259_6
| spl259_5 ),
inference(avatar_split_clause,[],[f6129,f6068,f6072,f6076]) ).
fof(f6138,plain,
( ~ l1_cat_1(sK0)
| ~ m1_subset_1(sK1,u2_cat_1(sK0))
| spl259_9 ),
inference(resolution,[],[f6087,f4768]) ).
fof(f6159,plain,
( $false
| spl259_9 ),
inference(global_subsumption,[],[f6138,f4642,f4640]) ).
fof(f6160,plain,
spl259_9,
inference(avatar_contradiction_clause,[],[f6159]) ).
fof(f6163,plain,
( ~ r2_hidden(k4_tarski(k4_tarski(k2_yoneda_1(sK0,k3_cat_1(sK0,sK1)),k2_yoneda_1(sK0,k2_cat_1(sK0,sK1))),k3_yoneda_1(sK0,sK1)),k11_nattra_1(sK0,k1_yoneda_1(sK0)))
| spl259_8 ),
inference(resolution,[],[f6082,f4847]) ).
fof(f6198,plain,
( ~ l1_cat_1(sK0)
| ~ m1_subset_1(sK1,u2_cat_1(sK0))
| spl259_13 ),
inference(resolution,[],[f6105,f4773]) ).
fof(f6217,plain,
( $false
| spl259_13 ),
inference(global_subsumption,[],[f6198,f4642,f4640]) ).
fof(f6218,plain,
spl259_13,
inference(avatar_contradiction_clause,[],[f6217]) ).
fof(f6220,plain,
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(k1_yoneda_1(sK0))
| ~ v2_cat_1(k1_yoneda_1(sK0))
| ~ m2_cat_1(k2_yoneda_1(sK0,k3_cat_1(sK0,sK1)),sK0,k1_yoneda_1(sK0))
| ~ m2_cat_1(k2_yoneda_1(sK0,k2_cat_1(sK0,sK1)),sK0,k1_yoneda_1(sK0))
| ~ m2_nattra_1(k3_yoneda_1(sK0,sK1),sK0,k1_yoneda_1(sK0),k2_yoneda_1(sK0,k3_cat_1(sK0,sK1)),k2_yoneda_1(sK0,k2_cat_1(sK0,sK1)))
| ~ l1_cat_1(sK0)
| ~ r2_nattra_1(sK0,k1_yoneda_1(sK0),k2_yoneda_1(sK0,k3_cat_1(sK0,sK1)),k2_yoneda_1(sK0,k2_cat_1(sK0,sK1)))
| spl259_8 ),
inference(resolution,[],[f6163,f5703]) ).
fof(f6243,plain,
( ~ l1_cat_1(k1_yoneda_1(sK0))
| ~ v2_cat_1(k1_yoneda_1(sK0))
| ~ r2_nattra_1(sK0,k1_yoneda_1(sK0),k2_yoneda_1(sK0,k3_cat_1(sK0,sK1)),k2_yoneda_1(sK0,k2_cat_1(sK0,sK1)))
| ~ m2_nattra_1(k3_yoneda_1(sK0,sK1),sK0,k1_yoneda_1(sK0),k2_yoneda_1(sK0,k3_cat_1(sK0,sK1)),k2_yoneda_1(sK0,k2_cat_1(sK0,sK1)))
| ~ m2_cat_1(k2_yoneda_1(sK0,k2_cat_1(sK0,sK1)),sK0,k1_yoneda_1(sK0))
| ~ m2_cat_1(k2_yoneda_1(sK0,k3_cat_1(sK0,sK1)),sK0,k1_yoneda_1(sK0))
| spl259_8 ),
inference(global_subsumption,[],[f6220,f4643,f4642]) ).
fof(f6265,definition,
( spl259_30
<=> r2_nattra_1(sK0,k1_yoneda_1(sK0),k2_yoneda_1(sK0,k3_cat_1(sK0,sK1)),k2_yoneda_1(sK0,k2_cat_1(sK0,sK1))) ),
introduced(definition,[new_symbols(definition,[spl259_30])],[avatar_definition]) ).
fof(f6267,plain,
( ~ r2_nattra_1(sK0,k1_yoneda_1(sK0),k2_yoneda_1(sK0,k3_cat_1(sK0,sK1)),k2_yoneda_1(sK0,k2_cat_1(sK0,sK1)))
| spl259_30 ),
inference(avatar_component_clause,[],[f6265]) ).
fof(f6269,definition,
( spl259_31
<=> m2_nattra_1(k3_yoneda_1(sK0,sK1),sK0,k1_yoneda_1(sK0),k2_yoneda_1(sK0,k3_cat_1(sK0,sK1)),k2_yoneda_1(sK0,k2_cat_1(sK0,sK1))) ),
introduced(definition,[new_symbols(definition,[spl259_31])],[avatar_definition]) ).
fof(f6271,plain,
( ~ m2_nattra_1(k3_yoneda_1(sK0,sK1),sK0,k1_yoneda_1(sK0),k2_yoneda_1(sK0,k3_cat_1(sK0,sK1)),k2_yoneda_1(sK0,k2_cat_1(sK0,sK1)))
| spl259_31 ),
inference(avatar_component_clause,[],[f6269]) ).
fof(f6273,definition,
( spl259_32
<=> m2_cat_1(k2_yoneda_1(sK0,k2_cat_1(sK0,sK1)),sK0,k1_yoneda_1(sK0)) ),
introduced(definition,[new_symbols(definition,[spl259_32])],[avatar_definition]) ).
fof(f6275,plain,
( ~ m2_cat_1(k2_yoneda_1(sK0,k2_cat_1(sK0,sK1)),sK0,k1_yoneda_1(sK0))
| spl259_32 ),
inference(avatar_component_clause,[],[f6273]) ).
fof(f6277,definition,
( spl259_33
<=> m2_cat_1(k2_yoneda_1(sK0,k3_cat_1(sK0,sK1)),sK0,k1_yoneda_1(sK0)) ),
introduced(definition,[new_symbols(definition,[spl259_33])],[avatar_definition]) ).
fof(f6279,plain,
( ~ m2_cat_1(k2_yoneda_1(sK0,k3_cat_1(sK0,sK1)),sK0,k1_yoneda_1(sK0))
| spl259_33 ),
inference(avatar_component_clause,[],[f6277]) ).
fof(f6281,plain,
( ~ spl259_33
| ~ spl259_32
| ~ spl259_31
| ~ spl259_30
| ~ spl259_6
| ~ spl259_7
| spl259_8 ),
inference(avatar_split_clause,[],[f6243,f6080,f6076,f6072,f6265,f6269,f6273,f6277]) ).
fof(f6398,plain,
( ~ v2_cat_1(sK0)
| ~ m1_subset_1(sK1,u2_cat_1(sK0))
| ~ l1_cat_1(sK0)
| spl259_30 ),
inference(resolution,[],[f6267,f4834]) ).
fof(f6423,plain,
( $false
| spl259_30 ),
inference(global_subsumption,[],[f6398,f4643,f4642,f4640]) ).
fof(f6424,plain,
spl259_30,
inference(avatar_contradiction_clause,[],[f6423]) ).
fof(f6461,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ m1_subset_1(sK1,u2_cat_1(sK0))
| spl259_31 ),
inference(resolution,[],[f6271,f4838]) ).
fof(f6482,plain,
( $false
| spl259_31 ),
inference(global_subsumption,[],[f6461,f4643,f4642,f4640]) ).
fof(f6483,plain,
spl259_31,
inference(avatar_contradiction_clause,[],[f6482]) ).
fof(f6515,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ m1_subset_1(k2_cat_1(sK0,sK1),u1_cat_1(sK0))
| spl259_32 ),
inference(resolution,[],[f6275,f4839]) ).
fof(f6521,plain,
( ~ m1_subset_1(k2_cat_1(sK0,sK1),u1_cat_1(sK0))
| spl259_32 ),
inference(global_subsumption,[],[f6515,f4643,f4642]) ).
fof(f6528,plain,
( ~ spl259_9
| spl259_32 ),
inference(avatar_split_clause,[],[f6521,f6273,f6085]) ).
fof(f6562,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ m1_subset_1(k3_cat_1(sK0,sK1),u1_cat_1(sK0))
| spl259_33 ),
inference(resolution,[],[f6279,f4839]) ).
fof(f6570,plain,
( ~ m1_subset_1(k3_cat_1(sK0,sK1),u1_cat_1(sK0))
| spl259_33 ),
inference(global_subsumption,[],[f6562,f4643,f4642]) ).
fof(f6577,plain,
( ~ spl259_13
| spl259_33 ),
inference(avatar_split_clause,[],[f6570,f6277,f6103]) ).
cnf(s21,plain,
( ~ spl259_3
| ~ spl259_4
| ~ spl259_5
| ~ spl259_6
| ~ spl259_7
| ~ spl259_8 ),
inference(sat_conversion,[],[f6083]) ).
cnf(s38,plain,
( spl259_4
| ~ spl259_6
| ~ spl259_7 ),
inference(sat_conversion,[],[f6118]) ).
cnf(s41,plain,
spl259_6,
inference(sat_conversion,[],[f6121]) ).
cnf(s45,plain,
spl259_7,
inference(sat_conversion,[],[f6124]) ).
cnf(s51,plain,
( spl259_3
| ~ spl259_6
| ~ spl259_7 ),
inference(sat_conversion,[],[f6127]) ).
cnf(s56,plain,
( spl259_5
| ~ spl259_6
| ~ spl259_7 ),
inference(sat_conversion,[],[f6130]) ).
cnf(s74,plain,
spl259_9,
inference(sat_conversion,[],[f6160]) ).
cnf(s113,plain,
spl259_13,
inference(sat_conversion,[],[f6218]) ).
cnf(s139,plain,
( ~ spl259_6
| ~ spl259_7
| spl259_8
| ~ spl259_30
| ~ spl259_31
| ~ spl259_32
| ~ spl259_33 ),
inference(sat_conversion,[],[f6281]) ).
cnf(s243,plain,
spl259_30,
inference(sat_conversion,[],[f6424]) ).
cnf(s288,plain,
spl259_31,
inference(sat_conversion,[],[f6483]) ).
cnf(s320,plain,
( ~ spl259_9
| spl259_32 ),
inference(sat_conversion,[],[f6528]) ).
cnf(s358,plain,
( ~ spl259_13
| spl259_33 ),
inference(sat_conversion,[],[f6577]) ).
cnf(s361,plain,
( ~ spl259_6
| ~ spl259_7
| spl259_8
| ~ spl259_32
| ~ spl259_33 ),
inference(rat,[],[s139,s288,s243]) ).
cnf(s363,plain,
spl259_33,
inference(rat,[],[s358,s113]) ).
cnf(s367,plain,
spl259_32,
inference(rat,[],[s320,s74]) ).
cnf(s370,plain,
spl259_8,
inference(rat,[],[s361,s363,s367,s45,s41]) ).
cnf(s371,plain,
spl259_5,
inference(rat,[],[s56,s45,s41]) ).
cnf(s372,plain,
spl259_3,
inference(rat,[],[s51,s45,s41]) ).
cnf(s373,plain,
spl259_4,
inference(rat,[],[s38,s45,s41]) ).
cnf(s382,plain,
$false,
inference(rat,[],[s21,s370,s45,s41,s371,s373,s372]) ).
fof(f6578,plain,
$false,
inference(avatar_sat_refutation,[],[s382]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT034+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n016.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 21:25:50 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 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
% 11.26/2.04 % (4038920)Detected formulas, will run a generic FOF schedule.
% 11.26/2.04 % (4038931)dis-21_1_sil=8000:lcm=predicate:random_seed=3499563562:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 11.26/2.04 % (4038925)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=1253466438:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.26/2.04 % (4038929)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4187351418:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.26/2.04 % (4038928)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1445044316:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.26/2.04 % (4038926)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=1487333196:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.26/2.04 % (4038927)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=3878494746:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.26/2.04 % (4038930)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1962285960:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.26/2.04 % (4038928)Refutation not found, incomplete strategy
% 11.26/2.04 % (4038928)------------------------------
% 11.26/2.04 % (4038928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/2.04 % (4038928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.04 % (4038928)CaDiCaL version: 2.1.3
% 11.26/2.04 % (4038928)Termination reason: Refutation not found, incomplete strategy
% 11.26/2.04 % (4038928)Time elapsed: 0.027 s
% 11.26/2.04 % (4038928)Peak memory usage: 93 MB
% 11.26/2.04 % (4038928)Instructions burned: 39 (million)
% 11.26/2.04 % (4038931)Instruction limit reached!
% 11.26/2.04 % (4038931)------------------------------
% 11.26/2.04 % (4038931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/2.04 % (4038931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.04 % (4038931)CaDiCaL version: 2.1.3
% 11.26/2.04 % (4038931)Termination reason: Instruction limit
% 11.26/2.04 % (4038931)Termination phase: Property scanning
% 11.26/2.04 % (4038931)Time elapsed: 0.050 s
% 11.26/2.04 % (4038931)Peak memory usage: 95 MB
% 11.26/2.04 % (4038931)Instructions burned: 130 (million)
% 11.26/2.04 % (4038929)Instruction limit reached!
% 11.26/2.04 % (4038929)------------------------------
% 11.26/2.04 % (4038929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/2.04 % (4038929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.04 % (4038929)CaDiCaL version: 2.1.3
% 11.26/2.04 % (4038929)Termination reason: Instruction limit
% 11.26/2.04 % (4038929)Termination phase: Saturation
% 11.26/2.04 % (4038929)Time elapsed: 0.071 s
% 11.26/2.04 % (4038929)Peak memory usage: 94 MB
% 11.26/2.04 % (4038929)Instructions burned: 119 (million)
% 11.26/2.04 % (4038930)Instruction limit reached!
% 11.26/2.04 % (4038930)------------------------------
% 11.26/2.04 % (4038930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/2.04 % (4038930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.04 % (4038930)CaDiCaL version: 2.1.3
% 11.26/2.04 % (4038930)Termination reason: Instruction limit
% 11.26/2.04 % (4038930)Termination phase: Preprocessing 3
% 11.26/2.04 % (4038930)Time elapsed: 0.091 s
% 11.26/2.04 % (4038930)Peak memory usage: 94 MB
% 11.26/2.04 % (4038930)Instructions burned: 140 (million)
% 11.26/2.04 % (4038939)lrs+10_1_sil=8000:sp=occurrence:random_seed=2051312285:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.26/2.04 % (4038940)lrs+10_1_sil=32000:urr=on:br=off:random_seed=687998576:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.26/2.04 % (4038941)lrs+1011_1_sil=32000:sp=occurrence:random_seed=567173104:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.26/2.04 % (4038939)Instruction limit reached!
% 11.26/2.04 % (4038939)------------------------------
% 11.26/2.04 % (4038939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/2.04 % (4038939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.65/2.74 % (4038939)CaDiCaL version: 2.1.3
% 15.65/2.74 % (4038939)Termination reason: Instruction limit
% 15.65/2.74 % (4038939)Termination phase: Saturation
% 15.65/2.74 % (4038939)Time elapsed: 0.105 s
% 15.65/2.74 % (4038939)Peak memory usage: 98 MB
% 15.65/2.74 % (4038939)Instructions burned: 285 (million)
% 15.65/2.74 % (4038928)------------------------------
% 15.65/2.74 % (4038928)------------------------------
% 15.65/2.74 % (4038940)Instruction limit reached!
% 15.65/2.74 % (4038940)------------------------------
% 15.65/2.74 % (4038940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.65/2.74 % (4038940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.65/2.74 % (4038940)CaDiCaL version: 2.1.3
% 15.65/2.74 % (4038940)Termination reason: Instruction limit
% 15.65/2.74 % (4038940)Termination phase: Saturation
% 15.65/2.74 % (4038940)Time elapsed: 0.086 s
% 15.65/2.74 % (4038940)Peak memory usage: 94 MB
% 15.65/2.74 % (4038940)Instructions burned: 158 (million)
% 15.65/2.74 % (4038945)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=1752424247:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 15.65/2.74 % (4038945)Instruction limit reached!
% 15.65/2.74 % (4038945)------------------------------
% 15.65/2.74 % (4038945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.65/2.74 % (4038945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.65/2.74 % (4038945)CaDiCaL version: 2.1.3
% 15.65/2.74 % (4038945)Termination reason: Instruction limit
% 15.65/2.74 % (4038945)Termination phase: Property scanning
% 15.65/2.74 % (4038945)Time elapsed: 0.081 s
% 15.65/2.74 % (4038945)Peak memory usage: 98 MB
% 15.65/2.74 % (4038945)Instructions burned: 249 (million)
% 15.65/2.74 % (4038946)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3239695008:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 15.65/2.74 % (4038947)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3056652378:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 15.65/2.74 % (4038941)Instruction limit reached!
% 15.65/2.74 % (4038941)------------------------------
% 15.65/2.74 % (4038941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.65/2.74 % (4038941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.65/2.74 % (4038941)CaDiCaL version: 2.1.3
% 15.65/2.74 % (4038941)Termination reason: Instruction limit
% 15.65/2.74 % (4038941)Termination phase: Saturation
% 15.65/2.74 % (4038941)Time elapsed: 0.219 s
% 15.65/2.74 % (4038941)Peak memory usage: 96 MB
% 15.65/2.74 % (4038941)Instructions burned: 325 (million)
% 15.65/2.74 % (4038949)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1383826113:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 15.65/2.74 % (4038949)Instruction limit reached!
% 15.65/2.74 % (4038949)------------------------------
% 15.65/2.74 % (4038949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.65/2.74 % (4038949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.65/2.74 % (4038949)CaDiCaL version: 2.1.3
% 15.65/2.74 % (4038949)Termination reason: Instruction limit
% 15.65/2.74 % (4038949)Termination phase: Saturation
% 15.65/2.74 % (4038949)Time elapsed: 0.037 s
% 15.65/2.74 % (4038949)Peak memory usage: 94 MB
% 15.65/2.74 % (4038949)Instructions burned: 116 (million)
% 15.65/2.74 % (4038952)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1209279283:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 15.65/2.74 % (4038946)Instruction limit reached!
% 15.65/2.74 % (4038946)------------------------------
% 15.65/2.74 % (4038946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.65/2.74 % (4038946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.65/2.74 % (4038946)CaDiCaL version: 2.1.3
% 15.65/2.74 % (4038946)Termination reason: Instruction limit
% 15.65/2.74 % (4038946)Termination phase: Saturation
% 15.65/2.74 % (4038946)Time elapsed: 0.176 s
% 15.65/2.74 % (4038946)Peak memory usage: 97 MB
% 15.65/2.74 % (4038946)Instructions burned: 295 (million)
% 15.65/2.74 % (4038954)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2912905025:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 15.65/2.74 % (4038954)Instruction limit reached!
% 15.65/2.74 % (4038954)------------------------------
% 15.65/2.74 % (4038954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.82/6.73 % (4038954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.82/6.73 % (4038954)CaDiCaL version: 2.1.3
% 43.82/6.73 % (4038954)Termination reason: Instruction limit
% 43.82/6.73 % (4038954)Termination phase: Unused predicate definition removal
% 43.82/6.73 % (4038954)Time elapsed: 0.031 s
% 43.82/6.73 % (4038954)Peak memory usage: 89 MB
% 43.82/6.73 % (4038954)Instructions burned: 115 (million)
% 43.82/6.73 % (4038952)Instruction limit reached!
% 43.82/6.73 % (4038952)------------------------------
% 43.82/6.73 % (4038952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.82/6.73 % (4038952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.82/6.73 % (4038952)CaDiCaL version: 2.1.3
% 43.82/6.73 % (4038952)Termination reason: Instruction limit
% 43.82/6.73 % (4038952)Termination phase: Preprocessing 3
% 43.82/6.73 % (4038952)Time elapsed: 0.089 s
% 43.82/6.73 % (4038952)Peak memory usage: 96 MB
% 43.82/6.73 % (4038952)Instructions burned: 128 (million)
% 43.82/6.73 % (4038956)lrs+10_1_sil=8000:sp=occurrence:random_seed=1007109028:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 43.82/6.73 % (4038958)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=972934101:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 43.82/6.73 % (4038958)Refutation not found, incomplete strategy
% 43.82/6.73 % (4038958)------------------------------
% 43.82/6.73 % (4038958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.82/6.73 % (4038958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.82/6.73 % (4038958)CaDiCaL version: 2.1.3
% 43.82/6.73 % (4038958)Termination reason: Refutation not found, incomplete strategy
% 43.82/6.73 % (4038958)Time elapsed: 0.020 s
% 43.82/6.73 % (4038958)Peak memory usage: 94 MB
% 43.82/6.73 % (4038958)Instructions burned: 52 (million)
% 43.82/6.73 % (4038959)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3763428018:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 43.82/6.73 % (4038958)------------------------------
% 43.82/6.73 % (4038958)------------------------------
% 43.82/6.73 % (4038963)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=353379915:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 43.82/6.73 % (4038963)Instruction limit reached!
% 43.82/6.73 % (4038963)------------------------------
% 43.82/6.73 % (4038963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.82/6.73 % (4038963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.82/6.73 % (4038963)CaDiCaL version: 2.1.3
% 43.82/6.73 % (4038963)Termination reason: Instruction limit
% 43.82/6.73 % (4038963)Termination phase: Saturation
% 43.82/6.73 % (4038963)Time elapsed: 0.048 s
% 43.82/6.73 % (4038963)Peak memory usage: 95 MB
% 43.82/6.73 % (4038963)Instructions burned: 137 (million)
% 43.82/6.73 % (4038965)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2197902349:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 43.82/6.73 % (4038956)Instruction limit reached!
% 43.82/6.73 % (4038956)------------------------------
% 43.82/6.73 % (4038956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.82/6.73 % (4038956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.82/6.73 % (4038956)CaDiCaL version: 2.1.3
% 43.82/6.73 % (4038956)Termination reason: Instruction limit
% 43.82/6.73 % (4038956)Termination phase: Saturation
% 43.82/6.73 % (4038956)Time elapsed: 0.577 s
% 43.82/6.73 % (4038956)Peak memory usage: 109 MB
% 43.82/6.73 % (4038956)Instructions burned: 907 (million)
% 43.82/6.73 % (4038965)Instruction limit reached!
% 43.82/6.73 % (4038965)------------------------------
% 43.82/6.73 % (4038965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.82/6.73 % (4038965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.82/6.73 % (4038965)CaDiCaL version: 2.1.3
% 43.82/6.73 % (4038965)Termination reason: Instruction limit
% 43.82/6.73 % (4038965)Termination phase: Saturation
% 43.82/6.73 % (4038965)Time elapsed: 0.169 s
% 43.82/6.73 % (4038965)Peak memory usage: 104 MB
% 43.82/6.73 % (4038965)Instructions burned: 596 (million)
% 43.82/6.73 % (4038968)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=2523458667:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 57.42/8.70 % (4038967)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1603738938:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 57.42/8.70 % (4038968)Instruction limit reached!
% 57.42/8.70 % (4038968)------------------------------
% 57.42/8.70 % (4038968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.42/8.70 % (4038968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.42/8.70 % (4038968)CaDiCaL version: 2.1.3
% 57.42/8.70 % (4038968)Termination reason: Instruction limit
% 57.42/8.70 % (4038968)Termination phase: Property scanning
% 57.42/8.70 % (4038968)Time elapsed: 0.043 s
% 57.42/8.70 % (4038968)Peak memory usage: 92 MB
% 57.42/8.70 % (4038968)Instructions burned: 129 (million)
% 57.42/8.70 % (4038971)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1108009457:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 57.42/8.70 % (4038971)Instruction limit reached!
% 57.42/8.70 % (4038971)------------------------------
% 57.42/8.70 % (4038971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.42/8.70 % (4038971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.42/8.70 % (4038971)CaDiCaL version: 2.1.3
% 57.42/8.70 % (4038971)Termination reason: Instruction limit
% 57.42/8.70 % (4038971)Termination phase: Preprocessing 1
% 57.42/8.70 % (4038971)Time elapsed: 0.040 s
% 57.42/8.70 % (4038971)Peak memory usage: 89 MB
% 57.42/8.70 % (4038971)Instructions burned: 138 (million)
% 57.42/8.70 % (4038973)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=687807563:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/141Mi)
% 57.42/8.70 % (4038973)Instruction limit reached!
% 57.42/8.70 % (4038973)------------------------------
% 57.42/8.70 % (4038973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.42/8.70 % (4038973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.42/8.70 % (4038973)CaDiCaL version: 2.1.3
% 57.42/8.70 % (4038973)Termination reason: Instruction limit
% 57.42/8.70 % (4038973)Termination phase: Saturation
% 57.42/8.70 % (4038973)Time elapsed: 0.044 s
% 57.42/8.70 % (4038973)Peak memory usage: 95 MB
% 57.42/8.70 % (4038973)Instructions burned: 142 (million)
% 57.42/8.70 % (4038975)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2499039456:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2980 on theBenchmark for (2980ds/431Mi)
% 57.42/8.70 % (4038947)Instruction limit reached!
% 57.42/8.70 % (4038947)------------------------------
% 57.42/8.70 % (4038947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.42/8.70 % (4038947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.42/8.70 % (4038947)CaDiCaL version: 2.1.3
% 57.42/8.70 % (4038947)Termination reason: Instruction limit
% 57.42/8.70 % (4038947)Termination phase: Saturation
% 57.42/8.70 % (4038947)Time elapsed: 1.457 s
% 57.42/8.70 % (4038947)Peak memory usage: 195 MB
% 57.42/8.70 % (4038947)Instructions burned: 2350 (million)
% 57.42/8.70 % (4038975)Instruction limit reached!
% 57.42/8.70 % (4038975)------------------------------
% 57.42/8.70 % (4038975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.42/8.70 % (4038975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.42/8.70 % (4038975)CaDiCaL version: 2.1.3
% 57.42/8.70 % (4038975)Termination reason: Instruction limit
% 57.42/8.70 % (4038975)Termination phase: Saturation
% 57.42/8.70 % (4038975)Time elapsed: 0.129 s
% 57.42/8.70 % (4038975)Peak memory usage: 100 MB
% 57.42/8.70 % (4038975)Instructions burned: 435 (million)
% 57.42/8.70 % (4038977)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=3249890023:i=6060:aac=none:ins=25_2979 on theBenchmark for (2979ds/6060Mi)
% 57.42/8.70 % (4038978)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=4086443771:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2978 on theBenchmark for (2978ds/150Mi)
% 57.42/8.70 % (4038978)Instruction limit reached!
% 57.42/8.70 % (4038978)------------------------------
% 57.42/8.70 % (4038978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.42/8.70 % (4038978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.42/8.70 % (4038978)CaDiCaL version: 2.1.3
% 57.42/8.70 % (4038978)Termination reason: Instruction limit
% 57.42/8.70 % (4038978)Termination phase: Preprocessing 3
% 57.42/8.70 % (4038978)Time elapsed: 0.055 s
% 57.42/8.70 % (4038978)Peak memory usage: 96 MB
% 57.42/8.70 % (4038978)Instructions burned: 151 (million)
% 57.42/8.70 % (4038981)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=66087741:i=14155:bd=all_2976 on theBenchmark for (2976ds/14155Mi)
% 57.42/8.70 % (4038959)Instruction limit reached!
% 57.42/8.70 % (4038959)------------------------------
% 57.42/8.70 % (4038959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.42/8.70 % (4038959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.42/8.70 % (4038959)CaDiCaL version: 2.1.3
% 57.42/8.70 % (4038959)Termination reason: Instruction limit
% 57.42/8.70 % (4038959)Termination phase: Saturation
% 57.42/8.70 % (4038959)Time elapsed: 3.030 s
% 57.42/8.70 % (4038959)Peak memory usage: 200 MB
% 57.42/8.70 % (4038959)Instructions burned: 5203 (million)
% 57.42/8.70 % (4038983)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2577321415:i=667:av=off:fsr=off_2959 on theBenchmark for (2959ds/667Mi)
% 57.42/8.70 % (4038983)Instruction limit reached!
% 57.42/8.70 % (4038983)------------------------------
% 57.42/8.70 % (4038983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.42/8.70 % (4038983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.42/8.70 % (4038983)CaDiCaL version: 2.1.3
% 57.42/8.70 % (4038983)Termination reason: Instruction limit
% 57.42/8.70 % (4038983)Termination phase: Saturation
% 57.42/8.70 % (4038983)Time elapsed: 0.340 s
% 57.42/8.70 % (4038983)Peak memory usage: 105 MB
% 57.42/8.70 % (4038983)Instructions burned: 668 (million)
% 57.42/8.70 % (4038985)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1376775880:s2a=on:i=185:s2at=1.8:fdi=4_2954 on theBenchmark for (2954ds/185Mi)
% 57.42/8.70 % (4038985)Instruction limit reached!
% 57.42/8.70 % (4038985)------------------------------
% 57.42/8.70 % (4038985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.42/8.70 % (4038985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.42/8.70 % (4038985)CaDiCaL version: 2.1.3
% 57.42/8.70 % (4038985)Termination reason: Instruction limit
% 57.42/8.70 % (4038985)Termination phase: NewCNF
% 57.42/8.70 % (4038985)Time elapsed: 0.125 s
% 57.42/8.70 % (4038985)Peak memory usage: 98 MB
% 57.42/8.70 % (4038985)Instructions burned: 185 (million)
% 57.42/8.70 % (4038987)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=671597393:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2952 on theBenchmark for (2952ds/193Mi)
% 57.42/8.70 % (4038987)Instruction limit reached!
% 57.42/8.70 % (4038987)------------------------------
% 57.42/8.70 % (4038987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.42/8.70 % (4038987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.42/8.70 % (4038987)CaDiCaL version: 2.1.3
% 57.42/8.70 % (4038987)Termination reason: Instruction limit
% 57.42/8.70 % (4038987)Termination phase: Saturation
% 57.42/8.70 % (4038987)Time elapsed: 0.113 s
% 57.42/8.70 % (4038987)Peak memory usage: 98 MB
% 57.42/8.70 % (4038987)Instructions burned: 194 (million)
% 57.42/8.70 % (4038989)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3942692723:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2949 on theBenchmark for (2949ds/4850Mi)
% 57.42/8.70 % (4038977)Instruction limit reached!
% 57.42/8.70 % (4038977)------------------------------
% 57.42/8.70 % (4038977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.42/8.70 % (4038977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.42/8.70 % (4038977)CaDiCaL version: 2.1.3
% 57.42/8.70 % (4038977)Termination reason: Instruction limit
% 57.42/8.70 % (4038977)Termination phase: Saturation
% 57.42/8.70 % (4038977)Time elapsed: 3.515 s
% 57.42/8.70 % (4038977)Peak memory usage: 252 MB
% 57.42/8.70 % (4038977)Instructions burned: 6060 (million)
% 57.42/8.70 % (4038991)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=4206891213:i=12111:sd=1:ss=included_2942 on theBenchmark for (2942ds/12111Mi)
% 57.42/8.70 % (4038967)Instruction limit reached!
% 57.42/8.70 % (4038967)------------------------------
% 57.42/8.70 % (4038967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.42/8.70 % (4038967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.42/8.70 % (4038967)CaDiCaL version: 2.1.3
% 57.42/8.70 % (4038967)Termination reason: Instruction limit
% 57.42/8.70 % (4038967)Termination phase: Saturation
% 57.42/8.70 % (4038967)Time elapsed: 4.681 s
% 57.42/8.70 % (4038967)Peak memory usage: 242 MB
% 57.42/8.70 % (4038967)Instructions burned: 13193 (million)
% 57.42/8.70 % (4038993)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1339520939:i=319:kws=precedence:fsr=off_2936 on theBenchmark for (2936ds/319Mi)
% 57.42/8.70 % (4038993)Instruction limit reached!
% 57.42/8.70 % (4038993)------------------------------
% 57.42/8.70 % (4038993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.42/8.70 % (4038993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.42/8.70 % (4038993)CaDiCaL version: 2.1.3
% 57.42/8.70 % (4038993)Termination reason: Instruction limit
% 57.42/8.70 % (4038993)Termination phase: Property scanning
% 57.42/8.70 % (4038993)Time elapsed: 0.093 s
% 57.42/8.70 % (4038993)Peak memory usage: 99 MB
% 57.42/8.70 % (4038993)Instructions burned: 321 (million)
% 57.42/8.70 % (4038995)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3047311378:i=2064:ep=RST_2934 on theBenchmark for (2934ds/2064Mi)
% 57.42/8.70 % (4038995)Instruction limit reached!
% 57.42/8.70 % (4038995)------------------------------
% 57.42/8.70 % (4038995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.42/8.70 % (4038995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.42/8.70 % (4038995)CaDiCaL version: 2.1.3
% 57.42/8.70 % (4038995)Termination reason: Instruction limit
% 57.42/8.70 % (4038995)Termination phase: Saturation
% 57.42/8.70 % (4038995)Time elapsed: 0.625 s
% 57.42/8.70 % (4038995)Peak memory usage: 126 MB
% 57.42/8.70 % (4038995)Instructions burned: 2066 (million)
% 57.42/8.70 % (4038997)dis-1011_128_sil=32000:random_seed=3671432642:i=3706:ep=RST:av=off_2927 on theBenchmark for (2927ds/3706Mi)
% 57.42/8.70 % (4038989)Instruction limit reached!
% 57.42/8.70 % (4038989)------------------------------
% 57.42/8.70 % (4038989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.42/8.70 % (4038989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.42/8.70 % (4038989)CaDiCaL version: 2.1.3
% 57.42/8.70 % (4038989)Termination reason: Instruction limit
% 57.42/8.70 % (4038989)Termination phase: Saturation
% 57.42/8.70 % (4038989)Time elapsed: 2.623 s
% 57.42/8.70 % (4038989)Peak memory usage: 126 MB
% 57.42/8.70 % (4038989)Instructions burned: 4852 (million)
% 57.42/8.70 % (4038999)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1352605300:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2922 on theBenchmark for (2922ds/757Mi)
% 57.42/8.70 % (4038999)First to succeed.
% 57.42/8.70 % (4038999)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4038920"
% 57.42/8.70 % (4038999)Refutation found. Thanks to Tanya!
% 57.42/8.70 % SZS status Theorem for theBenchmark
% 57.42/8.70 % SZS output start Proof for theBenchmark
% See solution above
% 58.49/8.79 % (4038999)------------------------------
% 58.49/8.79 % (4038999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.49/8.79 % (4038999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.49/8.79 % (4038999)CaDiCaL version: 2.1.3
% 58.49/8.79 % (4038999)Termination reason: Refutation
% 58.49/8.79 % (4038999)Time elapsed: 0.094 s
% 58.49/8.79 % (4038999)Peak memory usage: 97 MB
% 58.49/8.79 % (4038999)Instructions burned: 166 (million)
% 58.49/8.79 % (4038999)------------------------------
% 58.49/8.79 % (4038999)------------------------------
% 58.49/8.79 % (4038920)Success in time 8.275 s
% 58.49/8.79 % Vampire exiting
%------------------------------------------------------------------------------