%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CAT034+3 : 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 : n010.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 62.81s 17.32s
% Output : Refutation 112.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 23
% Syntax : Number of formulae : 139 ( 25 unt; 12 def)
% Number of atoms : 564 ( 47 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 706 ( 281 ~; 272 |; 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(f675,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f6613,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(f6614,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(f10496,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(f10497,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(f10548,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(f16902,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(f16903,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(f16904,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(f16911,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(f16913,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(f16914,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)],[f16913]) ).
fof(f16919,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,[],[f10497]) ).
fof(f16960,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,[],[f16914]) ).
fof(f16961,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,[],[f16960]) ).
fof(f17020,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,[],[f6613]) ).
fof(f17021,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,[],[f17020]) ).
fof(f17024,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,[],[f6614]) ).
fof(f17025,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,[],[f17024]) ).
fof(f17080,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,[],[f10548]) ).
fof(f17081,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,[],[f17080]) ).
fof(f17092,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,[],[f16919]) ).
fof(f17093,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,[],[f17092]) ).
fof(f17096,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,[],[f16911]) ).
fof(f17097,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,[],[f17096]) ).
fof(f17104,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,[],[f16904]) ).
fof(f17105,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,[],[f17104]) ).
fof(f17106,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,[],[f16903]) ).
fof(f17107,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,[],[f17106]) ).
fof(f17108,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,[],[f16902]) ).
fof(f17109,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,[],[f17108]) ).
fof(f17118,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f675]) ).
fof(f17829,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,[],[f10496]) ).
fof(f17830,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,[],[f17829]) ).
fof(f17944,plain,
m1_subset_1(sK1,u2_cat_1(sK0)),
inference(cnf_transformation,[],[f16961]) ).
fof(f17945,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,[],[f16961]) ).
fof(f17946,plain,
l1_cat_1(sK0),
inference(cnf_transformation,[],[f16961]) ).
fof(f17947,plain,
v2_cat_1(sK0),
inference(cnf_transformation,[],[f16961]) ).
fof(f18080,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,[],[f17021]) ).
fof(f18085,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,[],[f17025]) ).
fof(f18148,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,[],[f17081]) ).
fof(f18149,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,[],[f17081]) ).
fof(f18150,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,[],[f17081]) ).
fof(f18202,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,[],[f17093]) ).
fof(f18207,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,[],[f17097]) ).
fof(f18211,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,[],[f17105]) ).
fof(f18212,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,[],[f17107]) ).
fof(f18213,plain,
! [X0] :
( l1_cat_1(k1_yoneda_1(X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f17109]) ).
fof(f18214,plain,
! [X0] :
( v2_cat_1(k1_yoneda_1(X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f17109]) ).
fof(f18221,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f17118]) ).
fof(f19190,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,[],[f17830]) ).
fof(f19364,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,[],[f18202]) ).
fof(f19487,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)),u2_cat_1(k12_nattra_1(sK0,k1_yoneda_1(sK0)))),
inference(resolution,[],[f17945,f18221]) ).
fof(f19500,definition,
( spl278_1
<=> v2_cat_1(k12_nattra_1(sK0,k1_yoneda_1(sK0))) ),
introduced(definition,[new_symbols(definition,[spl278_1])],[avatar_definition]) ).
fof(f19502,plain,
( ~ v2_cat_1(k12_nattra_1(sK0,k1_yoneda_1(sK0)))
| spl278_1 ),
inference(avatar_component_clause,[],[f19500]) ).
fof(f19504,definition,
( spl278_2
<=> l1_cat_1(k12_nattra_1(sK0,k1_yoneda_1(sK0))) ),
introduced(definition,[new_symbols(definition,[spl278_2])],[avatar_definition]) ).
fof(f19506,plain,
( ~ l1_cat_1(k12_nattra_1(sK0,k1_yoneda_1(sK0)))
| spl278_2 ),
inference(avatar_component_clause,[],[f19504]) ).
fof(f19528,definition,
( spl278_6
<=> v1_cat_1(k12_nattra_1(sK0,k1_yoneda_1(sK0))) ),
introduced(definition,[new_symbols(definition,[spl278_6])],[avatar_definition]) ).
fof(f19530,plain,
( ~ v1_cat_1(k12_nattra_1(sK0,k1_yoneda_1(sK0)))
| spl278_6 ),
inference(avatar_component_clause,[],[f19528]) ).
fof(f19532,definition,
( spl278_7
<=> v2_cat_1(k1_yoneda_1(sK0)) ),
introduced(definition,[new_symbols(definition,[spl278_7])],[avatar_definition]) ).
fof(f19534,plain,
( ~ v2_cat_1(k1_yoneda_1(sK0))
| spl278_7 ),
inference(avatar_component_clause,[],[f19532]) ).
fof(f19536,definition,
( spl278_8
<=> l1_cat_1(k1_yoneda_1(sK0)) ),
introduced(definition,[new_symbols(definition,[spl278_8])],[avatar_definition]) ).
fof(f19538,plain,
( ~ l1_cat_1(k1_yoneda_1(sK0))
| spl278_8 ),
inference(avatar_component_clause,[],[f19536]) ).
fof(f19545,definition,
( spl278_10
<=> m1_subset_1(k2_cat_1(sK0,sK1),u1_cat_1(sK0)) ),
introduced(definition,[new_symbols(definition,[spl278_10])],[avatar_definition]) ).
fof(f19547,plain,
( ~ m1_subset_1(k2_cat_1(sK0,sK1),u1_cat_1(sK0))
| spl278_10 ),
inference(avatar_component_clause,[],[f19545]) ).
fof(f19563,definition,
( spl278_14
<=> m1_subset_1(k3_cat_1(sK0,sK1),u1_cat_1(sK0)) ),
introduced(definition,[new_symbols(definition,[spl278_14])],[avatar_definition]) ).
fof(f19565,plain,
( ~ m1_subset_1(k3_cat_1(sK0,sK1),u1_cat_1(sK0))
| spl278_14 ),
inference(avatar_component_clause,[],[f19563]) ).
fof(f19576,plain,
( ~ v2_cat_1(k1_yoneda_1(sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(k1_yoneda_1(sK0))
| spl278_1 ),
inference(resolution,[],[f19502,f18149]) ).
fof(f19577,plain,
( ~ v2_cat_1(k1_yoneda_1(sK0))
| ~ l1_cat_1(k1_yoneda_1(sK0))
| spl278_1 ),
inference(global_subsumption,[],[f19576,f17947,f17946]) ).
fof(f19578,plain,
( ~ spl278_8
| ~ spl278_7
| spl278_1 ),
inference(avatar_split_clause,[],[f19577,f19500,f19532,f19536]) ).
fof(f19579,plain,
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| spl278_7 ),
inference(resolution,[],[f19534,f18214]) ).
fof(f19580,plain,
( $false
| spl278_7 ),
inference(global_subsumption,[],[f19579,f17947,f17946]) ).
fof(f19581,plain,
spl278_7,
inference(avatar_contradiction_clause,[],[f19580]) ).
fof(f19582,plain,
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| spl278_8 ),
inference(resolution,[],[f19538,f18213]) ).
fof(f19583,plain,
( $false
| spl278_8 ),
inference(global_subsumption,[],[f19582,f17947,f17946]) ).
fof(f19584,plain,
spl278_8,
inference(avatar_contradiction_clause,[],[f19583]) ).
fof(f19585,plain,
( ~ v2_cat_1(k1_yoneda_1(sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(k1_yoneda_1(sK0))
| spl278_2 ),
inference(resolution,[],[f19506,f18148]) ).
fof(f19586,plain,
( ~ v2_cat_1(k1_yoneda_1(sK0))
| ~ l1_cat_1(k1_yoneda_1(sK0))
| spl278_2 ),
inference(global_subsumption,[],[f19585,f17947,f17946]) ).
fof(f19587,plain,
( ~ spl278_8
| ~ spl278_7
| spl278_2 ),
inference(avatar_split_clause,[],[f19586,f19504,f19532,f19536]) ).
fof(f19588,plain,
( ~ v2_cat_1(k1_yoneda_1(sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(k1_yoneda_1(sK0))
| spl278_6 ),
inference(resolution,[],[f19530,f18150]) ).
fof(f19589,plain,
( ~ v2_cat_1(k1_yoneda_1(sK0))
| ~ l1_cat_1(k1_yoneda_1(sK0))
| spl278_6 ),
inference(global_subsumption,[],[f19588,f17947,f17946]) ).
fof(f19590,plain,
( ~ spl278_8
| ~ spl278_7
| spl278_6 ),
inference(avatar_split_clause,[],[f19589,f19528,f19532,f19536]) ).
fof(f19591,plain,
( ~ l1_cat_1(sK0)
| ~ m1_subset_1(sK1,u2_cat_1(sK0))
| spl278_10 ),
inference(resolution,[],[f19547,f18080]) ).
fof(f19612,plain,
( $false
| spl278_10 ),
inference(global_subsumption,[],[f19591,f17946,f17944]) ).
fof(f19613,plain,
spl278_10,
inference(avatar_contradiction_clause,[],[f19612]) ).
fof(f19614,plain,
( ~ l1_cat_1(sK0)
| ~ m1_subset_1(sK1,u2_cat_1(sK0))
| spl278_14 ),
inference(resolution,[],[f19565,f18085]) ).
fof(f19633,plain,
( $false
| spl278_14 ),
inference(global_subsumption,[],[f19614,f17946,f17944]) ).
fof(f19634,plain,
spl278_14,
inference(avatar_contradiction_clause,[],[f19633]) ).
fof(f19763,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)))
| ~ 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,[],[f19487,f19364]) ).
fof(f19771,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)))
| ~ 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,[],[f19763,f17947,f17946]) ).
fof(f19785,definition,
( spl278_37
<=> 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))) ),
introduced(definition,[new_symbols(definition,[spl278_37])],[avatar_definition]) ).
fof(f19787,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)))
| spl278_37 ),
inference(avatar_component_clause,[],[f19785]) ).
fof(f19839,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)))
| ~ 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,[],[f19771]) ).
fof(f19845,plain,
( ~ spl278_6
| ~ spl278_1
| ~ spl278_2
| ~ spl278_7
| ~ spl278_8
| ~ spl278_37 ),
inference(avatar_split_clause,[],[f19839,f19785,f19536,f19532,f19504,f19500,f19528]) ).
fof(f20312,definition,
( spl278_88
<=> 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,[spl278_88])],[avatar_definition]) ).
fof(f20314,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)))
| spl278_88 ),
inference(avatar_component_clause,[],[f20312]) ).
fof(f20316,definition,
( spl278_89
<=> 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,[spl278_89])],[avatar_definition]) ).
fof(f20318,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)))
| spl278_89 ),
inference(avatar_component_clause,[],[f20316]) ).
fof(f20320,definition,
( spl278_90
<=> m2_cat_1(k2_yoneda_1(sK0,k2_cat_1(sK0,sK1)),sK0,k1_yoneda_1(sK0)) ),
introduced(definition,[new_symbols(definition,[spl278_90])],[avatar_definition]) ).
fof(f20322,plain,
( ~ m2_cat_1(k2_yoneda_1(sK0,k2_cat_1(sK0,sK1)),sK0,k1_yoneda_1(sK0))
| spl278_90 ),
inference(avatar_component_clause,[],[f20320]) ).
fof(f20324,definition,
( spl278_91
<=> m2_cat_1(k2_yoneda_1(sK0,k3_cat_1(sK0,sK1)),sK0,k1_yoneda_1(sK0)) ),
introduced(definition,[new_symbols(definition,[spl278_91])],[avatar_definition]) ).
fof(f20326,plain,
( ~ m2_cat_1(k2_yoneda_1(sK0,k3_cat_1(sK0,sK1)),sK0,k1_yoneda_1(sK0))
| spl278_91 ),
inference(avatar_component_clause,[],[f20324]) ).
fof(f20355,plain,
( ~ v2_cat_1(sK0)
| ~ m1_subset_1(sK1,u2_cat_1(sK0))
| ~ l1_cat_1(sK0)
| spl278_88 ),
inference(resolution,[],[f20314,f18207]) ).
fof(f20380,plain,
( $false
| spl278_88 ),
inference(global_subsumption,[],[f20355,f17947,f17946,f17944]) ).
fof(f20381,plain,
spl278_88,
inference(avatar_contradiction_clause,[],[f20380]) ).
fof(f20525,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)))
| spl278_37 ),
inference(resolution,[],[f19787,f19190]) ).
fof(f20541,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))
| spl278_37 ),
inference(global_subsumption,[],[f20525,f17947,f17946]) ).
fof(f20547,plain,
( ~ spl278_91
| ~ spl278_90
| ~ spl278_89
| ~ spl278_88
| ~ spl278_7
| ~ spl278_8
| spl278_37 ),
inference(avatar_split_clause,[],[f20541,f19785,f19536,f19532,f20312,f20316,f20320,f20324]) ).
fof(f20604,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ m1_subset_1(sK1,u2_cat_1(sK0))
| spl278_89 ),
inference(resolution,[],[f20318,f18211]) ).
fof(f20625,plain,
( $false
| spl278_89 ),
inference(global_subsumption,[],[f20604,f17947,f17946,f17944]) ).
fof(f20626,plain,
spl278_89,
inference(avatar_contradiction_clause,[],[f20625]) ).
fof(f20711,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ m1_subset_1(k2_cat_1(sK0,sK1),u1_cat_1(sK0))
| spl278_90 ),
inference(resolution,[],[f20322,f18212]) ).
fof(f20717,plain,
( ~ m1_subset_1(k2_cat_1(sK0,sK1),u1_cat_1(sK0))
| spl278_90 ),
inference(global_subsumption,[],[f20711,f17947,f17946]) ).
fof(f20724,plain,
( ~ spl278_10
| spl278_90 ),
inference(avatar_split_clause,[],[f20717,f20320,f19545]) ).
fof(f20761,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ m1_subset_1(k3_cat_1(sK0,sK1),u1_cat_1(sK0))
| spl278_91 ),
inference(resolution,[],[f20326,f18212]) ).
fof(f20769,plain,
( ~ m1_subset_1(k3_cat_1(sK0,sK1),u1_cat_1(sK0))
| spl278_91 ),
inference(global_subsumption,[],[f20761,f17947,f17946]) ).
fof(f20776,plain,
( ~ spl278_14
| spl278_91 ),
inference(avatar_split_clause,[],[f20769,f20324,f19563]) ).
cnf(s42,plain,
( spl278_1
| ~ spl278_7
| ~ spl278_8 ),
inference(sat_conversion,[],[f19578]) ).
cnf(s45,plain,
spl278_7,
inference(sat_conversion,[],[f19581]) ).
cnf(s49,plain,
spl278_8,
inference(sat_conversion,[],[f19584]) ).
cnf(s55,plain,
( spl278_2
| ~ spl278_7
| ~ spl278_8 ),
inference(sat_conversion,[],[f19587]) ).
cnf(s61,plain,
( spl278_6
| ~ spl278_7
| ~ spl278_8 ),
inference(sat_conversion,[],[f19590]) ).
cnf(s75,plain,
spl278_10,
inference(sat_conversion,[],[f19613]) ).
cnf(s91,plain,
spl278_14,
inference(sat_conversion,[],[f19634]) ).
cnf(s219,plain,
( ~ spl278_1
| ~ spl278_2
| ~ spl278_6
| ~ spl278_7
| ~ spl278_8
| ~ spl278_37 ),
inference(sat_conversion,[],[f19845]) ).
cnf(s619,plain,
spl278_88,
inference(sat_conversion,[],[f20381]) ).
cnf(s743,plain,
( ~ spl278_7
| ~ spl278_8
| spl278_37
| ~ spl278_88
| ~ spl278_89
| ~ spl278_90
| ~ spl278_91 ),
inference(sat_conversion,[],[f20547]) ).
cnf(s805,plain,
spl278_89,
inference(sat_conversion,[],[f20626]) ).
cnf(s876,plain,
( ~ spl278_10
| spl278_90 ),
inference(sat_conversion,[],[f20724]) ).
cnf(s918,plain,
( ~ spl278_14
| spl278_91 ),
inference(sat_conversion,[],[f20776]) ).
cnf(s921,plain,
( ~ spl278_7
| ~ spl278_8
| spl278_37
| ~ spl278_88
| ~ spl278_90
| ~ spl278_91 ),
inference(rat,[],[s743,s805]) ).
cnf(s928,plain,
spl278_91,
inference(rat,[],[s918,s91]) ).
cnf(s931,plain,
spl278_90,
inference(rat,[],[s876,s75]) ).
cnf(s936,plain,
spl278_37,
inference(rat,[],[s921,s928,s931,s619,s49,s45]) ).
cnf(s938,plain,
spl278_6,
inference(rat,[],[s61,s49,s45]) ).
cnf(s939,plain,
spl278_2,
inference(rat,[],[s55,s49,s45]) ).
cnf(s940,plain,
~ spl278_1,
inference(rat,[],[s219,s936,s49,s45,s938,s939]) ).
cnf(s941,plain,
$false,
inference(rat,[],[s42,s49,s45,s940]) ).
fof(f20777,plain,
$false,
inference(avatar_sat_refutation,[],[s941]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT034+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n010.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 21:21:35 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 21.87/4.62 % (2359715)Detected formulas, will run a generic FOF schedule.
% 21.87/4.62 % (2359853)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3394056247:i=109:sd=1:ins=1:gsp=on:ss=axioms_2990 on theBenchmark for (2990ds/109Mi)
% 21.87/4.62 % (2359851)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=2854621853:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2990 on theBenchmark for (2990ds/134677Mi)
% 21.87/4.62 % (2359850)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=3472959533:i=141193_2990 on theBenchmark for (2990ds/141193Mi)
% 21.87/4.62 % (2359853)Instruction limit reached!
% 21.87/4.62 % (2359853)------------------------------
% 21.87/4.62 % (2359853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.87/4.62 % (2359853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.87/4.62 % (2359853)CaDiCaL version: 2.1.3
% 21.87/4.62 % (2359853)Termination reason: Instruction limit
% 21.87/4.62 % (2359853)Termination phase: Saturation
% 21.87/4.62 % (2359853)Time elapsed: 0.055 s
% 21.87/4.62 % (2359853)Peak memory usage: 111 MB
% 21.87/4.62 % (2359853)Instructions burned: 111 (million)
% 21.87/4.62 % (2359856)dis-21_1_sil=8000:lcm=predicate:random_seed=235609314:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2990 on theBenchmark for (2990ds/129Mi)
% 21.87/4.62 % (2359854)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=654573696:i=119:av=off:ss=axioms_2990 on theBenchmark for (2990ds/119Mi)
% 21.87/4.62 % (2359855)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1817309820:s2a=on:i=139:gtg=position_2990 on theBenchmark for (2990ds/139Mi)
% 21.87/4.62 % (2359852)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=392429110:i=141695:sd=1:nm=32:gsp=on:ss=included_2990 on theBenchmark for (2990ds/141695Mi)
% 21.87/4.62 % (2359856)Instruction limit reached!
% 21.87/4.62 % (2359856)------------------------------
% 21.87/4.62 % (2359856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.87/4.62 % (2359856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.87/4.62 % (2359856)CaDiCaL version: 2.1.3
% 21.87/4.62 % (2359856)Termination reason: Instruction limit
% 21.87/4.62 % (2359856)Termination phase: SInE selection
% 21.87/4.62 % (2359856)Time elapsed: 0.108 s
% 21.87/4.62 % (2359856)Peak memory usage: 108 MB
% 21.87/4.62 % (2359856)Instructions burned: 129 (million)
% 21.87/4.62 % (2359855)Instruction limit reached!
% 21.87/4.62 % (2359855)------------------------------
% 21.87/4.62 % (2359855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.87/4.62 % (2359855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.87/4.62 % (2359855)CaDiCaL version: 2.1.3
% 21.87/4.62 % (2359855)Termination reason: Instruction limit
% 21.87/4.62 % (2359855)Termination phase: Property scanning
% 21.87/4.62 % (2359855)Time elapsed: 0.113 s
% 21.87/4.62 % (2359855)Peak memory usage: 108 MB
% 21.87/4.62 % (2359855)Instructions burned: 140 (million)
% 21.87/4.62 % (2359854)Instruction limit reached!
% 21.87/4.62 % (2359854)------------------------------
% 21.87/4.62 % (2359854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.87/4.62 % (2359854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.87/4.62 % (2359854)CaDiCaL version: 2.1.3
% 21.87/4.62 % (2359854)Termination reason: Instruction limit
% 21.87/4.62 % (2359854)Termination phase: Preprocessing 2
% 21.87/4.62 % (2359854)Time elapsed: 0.145 s
% 21.87/4.62 % (2359854)Peak memory usage: 110 MB
% 21.87/4.62 % (2359854)Instructions burned: 119 (million)
% 21.87/4.62 % (2359871)lrs+10_1_sil=8000:sp=occurrence:random_seed=2339590876:i=285:sd=3:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/285Mi)
% 21.87/4.62 % (2359881)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2043888361:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/157Mi)
% 21.87/4.62 % (2359882)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2899109369:i=325:sd=1:ss=axioms:sgt=32_2987 on theBenchmark for (2987ds/325Mi)
% 21.87/4.62 % (2359871)Instruction limit reached!
% 21.87/4.62 % (2359871)------------------------------
% 21.87/4.62 % (2359871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.87/4.62 % (2359871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.18/5.80 % (2359871)CaDiCaL version: 2.1.3
% 30.18/5.80 % (2359871)Termination reason: Instruction limit
% 30.18/5.80 % (2359871)Termination phase: Saturation
% 30.18/5.80 % (2359871)Time elapsed: 0.184 s
% 30.18/5.80 % (2359871)Peak memory usage: 115 MB
% 30.18/5.80 % (2359871)Instructions burned: 286 (million)
% 30.18/5.80 % (2359884)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=3040699810:s2a=on:i=248:s2at=1.23:gtg=position_2987 on theBenchmark for (2987ds/248Mi)
% 30.18/5.80 % (2359881)Instruction limit reached!
% 30.18/5.80 % (2359881)------------------------------
% 30.18/5.80 % (2359881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.18/5.80 % (2359881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.18/5.80 % (2359881)CaDiCaL version: 2.1.3
% 30.18/5.80 % (2359881)Termination reason: Instruction limit
% 30.18/5.80 % (2359881)Termination phase: Property scanning
% 30.18/5.80 % (2359881)Time elapsed: 0.129 s
% 30.18/5.80 % (2359881)Peak memory usage: 108 MB
% 30.18/5.80 % (2359881)Instructions burned: 157 (million)
% 30.18/5.80 % (2359895)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4009893688:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2984 on theBenchmark for (2984ds/294Mi)
% 30.18/5.80 % (2359884)Instruction limit reached!
% 30.18/5.80 % (2359884)------------------------------
% 30.18/5.80 % (2359884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.18/5.80 % (2359884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.18/5.80 % (2359884)CaDiCaL version: 2.1.3
% 30.18/5.80 % (2359884)Termination reason: Instruction limit
% 30.18/5.80 % (2359884)Termination phase: SInE selection
% 30.18/5.80 % (2359884)Time elapsed: 0.210 s
% 30.18/5.80 % (2359884)Peak memory usage: 108 MB
% 30.18/5.80 % (2359884)Instructions burned: 248 (million)
% 30.18/5.80 % (2359882)Instruction limit reached!
% 30.18/5.80 % (2359882)------------------------------
% 30.18/5.80 % (2359882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.18/5.80 % (2359882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.18/5.80 % (2359882)CaDiCaL version: 2.1.3
% 30.18/5.80 % (2359882)Termination reason: Instruction limit
% 30.18/5.80 % (2359882)Termination phase: Saturation
% 30.18/5.80 % (2359882)Time elapsed: 0.366 s
% 30.18/5.80 % (2359882)Peak memory usage: 115 MB
% 30.18/5.80 % (2359882)Instructions burned: 325 (million)
% 30.18/5.80 % (2359901)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=96585615:i=2350_2983 on theBenchmark for (2983ds/2350Mi)
% 30.18/5.80 % (2359895)Instruction limit reached!
% 30.18/5.80 % (2359895)------------------------------
% 30.18/5.80 % (2359895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.18/5.80 % (2359895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.18/5.80 % (2359895)CaDiCaL version: 2.1.3
% 30.18/5.80 % (2359895)Termination reason: Instruction limit
% 30.18/5.80 % (2359895)Termination phase: Property scanning
% 30.18/5.80 % (2359895)Time elapsed: 0.179 s
% 30.18/5.80 % (2359895)Peak memory usage: 114 MB
% 30.18/5.80 % (2359895)Instructions burned: 294 (million)
% 30.18/5.80 % (2359903)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1757051627:cts=off:i=113:fsr=off:ss=included:sgt=4_2982 on theBenchmark for (2982ds/113Mi)
% 30.18/5.80 % (2359904)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2715816210:i=127:av=off:fsr=off:sup=off_2981 on theBenchmark for (2981ds/127Mi)
% 30.18/5.80 % (2359906)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1369152877:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2980 on theBenchmark for (2980ds/114Mi)
% 30.18/5.80 % (2359903)Instruction limit reached!
% 30.18/5.80 % (2359903)------------------------------
% 30.18/5.80 % (2359903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.18/5.80 % (2359903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.18/5.80 % (2359903)CaDiCaL version: 2.1.3
% 30.18/5.80 % (2359903)Termination reason: Instruction limit
% 30.18/5.80 % (2359903)Termination phase: Preprocessing 2
% 30.18/5.80 % (2359903)Time elapsed: 0.143 s
% 30.18/5.80 % (2359903)Peak memory usage: 109 MB
% 30.18/5.80 % (2359903)Instructions burned: 113 (million)
% 30.18/5.80 % (2359906)Instruction limit reached!
% 30.18/5.80 % (2359906)------------------------------
% 30.18/5.80 % (2359906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.76/14.13 % (2359906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.76/14.13 % (2359906)CaDiCaL version: 2.1.3
% 89.76/14.13 % (2359906)Termination reason: Instruction limit
% 89.76/14.13 % (2359906)Termination phase: Property scanning
% 89.76/14.13 % (2359906)Time elapsed: 0.051 s
% 89.76/14.13 % (2359906)Peak memory usage: 108 MB
% 89.76/14.13 % (2359906)Instructions burned: 116 (million)
% 89.76/14.13 % (2359904)Instruction limit reached!
% 89.76/14.13 % (2359904)------------------------------
% 89.76/14.13 % (2359904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.76/14.13 % (2359904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.76/14.13 % (2359904)CaDiCaL version: 2.1.3
% 89.76/14.13 % (2359904)Termination reason: Instruction limit
% 89.76/14.13 % (2359904)Termination phase: Preprocessing 1
% 89.76/14.13 % (2359904)Time elapsed: 0.145 s
% 89.76/14.13 % (2359904)Peak memory usage: 108 MB
% 89.76/14.13 % (2359904)Instructions burned: 127 (million)
% 89.76/14.13 % (2359915)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2501707116:i=437:sd=1:aac=none:ss=included_2978 on theBenchmark for (2978ds/437Mi)
% 89.76/14.13 % (2359914)lrs+10_1_sil=8000:sp=occurrence:random_seed=1051385196:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2978 on theBenchmark for (2978ds/907Mi)
% 89.76/14.13 % (2359915)Refutation not found, incomplete strategy
% 89.76/14.13 % (2359915)------------------------------
% 89.76/14.13 % (2359915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.76/14.13 % (2359915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.76/14.13 % (2359915)CaDiCaL version: 2.1.3
% 89.76/14.13 % (2359915)Termination reason: Refutation not found, incomplete strategy
% 89.76/14.13 % (2359915)Time elapsed: 0.097 s
% 89.76/14.13 % (2359915)Peak memory usage: 113 MB
% 89.76/14.13 % (2359915)Instructions burned: 136 (million)
% 89.76/14.13 % (2359918)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1048264106:i=5202:ss=axioms:sgt=16_2977 on theBenchmark for (2977ds/5202Mi)
% 89.76/14.13 % (2359915)------------------------------
% 89.76/14.13 % (2359915)------------------------------
% 89.76/14.13 % (2359926)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=24188122:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2972 on theBenchmark for (2972ds/134Mi)
% 89.76/14.13 % (2359926)Instruction limit reached!
% 89.76/14.13 % (2359926)------------------------------
% 89.76/14.13 % (2359926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.76/14.13 % (2359926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.76/14.13 % (2359926)CaDiCaL version: 2.1.3
% 89.76/14.13 % (2359926)Termination reason: Instruction limit
% 89.76/14.13 % (2359926)Termination phase: Property scanning
% 89.76/14.13 % (2359926)Time elapsed: 0.094 s
% 89.76/14.13 % (2359926)Peak memory usage: 110 MB
% 89.76/14.13 % (2359926)Instructions burned: 134 (million)
% 89.76/14.13 % (2359914)Instruction limit reached!
% 89.76/14.13 % (2359914)------------------------------
% 89.76/14.13 % (2359914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.76/14.13 % (2359914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.76/14.13 % (2359914)CaDiCaL version: 2.1.3
% 89.76/14.13 % (2359914)Termination reason: Instruction limit
% 89.76/14.13 % (2359914)Termination phase: Saturation
% 89.76/14.13 % (2359914)Time elapsed: 0.865 s
% 89.76/14.13 % (2359914)Peak memory usage: 128 MB
% 89.76/14.13 % (2359914)Instructions burned: 908 (million)
% 89.76/14.13 % (2359932)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1866936799:st=8:i=592:sd=3:ep=RST:ss=axioms_2969 on theBenchmark for (2969ds/592Mi)
% 89.76/14.13 % (2359936)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4192315999:st=3:i=13193:sd=3:ss=axioms_2966 on theBenchmark for (2966ds/13193Mi)
% 89.76/14.13 % (2359932)Instruction limit reached!
% 89.76/14.13 % (2359932)------------------------------
% 89.76/14.13 % (2359932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.76/14.13 % (2359932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.76/14.13 % (2359932)CaDiCaL version: 2.1.3
% 89.76/14.13 % (2359932)Termination reason: Instruction limit
% 89.76/14.13 % (2359932)Termination phase: Preprocessing 3
% 89.76/14.13 % (2359932)Time elapsed: 0.387 s
% 89.76/14.13 % (2359932)Peak memory usage: 130 MB
% 89.76/14.13 % (2359932)Instructions burned: 593 (million)
% 89.76/14.13 % (2359938)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=3861875853:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2962 on theBenchmark for (2962ds/125Mi)
% 62.81/17.32 % (2359938)Instruction limit reached!
% 62.81/17.32 % (2359938)------------------------------
% 62.81/17.32 % (2359938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.81/17.32 % (2359938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.81/17.32 % (2359938)CaDiCaL version: 2.1.3
% 62.81/17.32 % (2359938)Termination reason: Instruction limit
% 62.81/17.32 % (2359938)Termination phase: Property scanning
% 62.81/17.32 % (2359938)Time elapsed: 0.056 s
% 62.81/17.32 % (2359938)Peak memory usage: 108 MB
% 62.81/17.32 % (2359938)Instructions burned: 128 (million)
% 62.81/17.32 % (2359901)Instruction limit reached!
% 62.81/17.32 % (2359901)------------------------------
% 62.81/17.32 % (2359901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.81/17.32 % (2359901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.81/17.32 % (2359901)CaDiCaL version: 2.1.3
% 62.81/17.32 % (2359901)Termination reason: Instruction limit
% 62.81/17.32 % (2359901)Termination phase: Saturation
% 62.81/17.32 % (2359901)Time elapsed: 2.152 s
% 62.81/17.32 % (2359901)Peak memory usage: 173 MB
% 62.81/17.32 % (2359901)Instructions burned: 2350 (million)
% 62.81/17.32 % (2359940)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2256402674:i=134:gtgl=5:slsql=off:gtg=exists_sym_2959 on theBenchmark for (2959ds/134Mi)
% 62.81/17.32 % (2359940)Instruction limit reached!
% 62.81/17.32 % (2359940)------------------------------
% 62.81/17.32 % (2359940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.81/17.32 % (2359940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.81/17.32 % (2359940)CaDiCaL version: 2.1.3
% 62.81/17.32 % (2359940)Termination reason: Instruction limit
% 62.81/17.32 % (2359940)Termination phase: Property scanning
% 62.81/17.32 % (2359940)Time elapsed: 0.059 s
% 62.81/17.32 % (2359940)Peak memory usage: 108 MB
% 62.81/17.32 % (2359940)Instructions burned: 135 (million)
% 62.81/17.32 % (2359943)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4259034212:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2959 on theBenchmark for (2959ds/141Mi)
% 62.81/17.32 % (2359943)Instruction limit reached!
% 62.81/17.32 % (2359943)------------------------------
% 62.81/17.32 % (2359943)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.81/17.32 % (2359943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.81/17.32 % (2359943)CaDiCaL version: 2.1.3
% 62.81/17.32 % (2359943)Termination reason: Instruction limit
% 62.81/17.32 % (2359943)Termination phase: Saturation
% 62.81/17.32 % (2359943)Time elapsed: 0.174 s
% 62.81/17.32 % (2359943)Peak memory usage: 112 MB
% 62.81/17.32 % (2359943)Instructions burned: 141 (million)
% 62.81/17.32 % (2359946)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4055642684:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2957 on theBenchmark for (2957ds/431Mi)
% 62.81/17.32 % (2359946)Instruction limit reached!
% 62.81/17.32 % (2359946)------------------------------
% 62.81/17.32 % (2359946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.81/17.32 % (2359946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.81/17.32 % (2359946)CaDiCaL version: 2.1.3
% 62.81/17.32 % (2359946)Termination reason: Instruction limit
% 62.81/17.32 % (2359946)Termination phase: Saturation
% 62.81/17.32 % (2359946)Time elapsed: 0.236 s
% 62.81/17.32 % (2359946)Peak memory usage: 118 MB
% 62.81/17.32 % (2359946)Instructions burned: 432 (million)
% 62.81/17.32 % (2359947)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=2893768283:i=6060:aac=none:ins=25_2955 on theBenchmark for (2955ds/6060Mi)
% 62.81/17.32 % (2359950)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=3961534547:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2952 on theBenchmark for (2952ds/150Mi)
% 62.81/17.32 % (2359950)Instruction limit reached!
% 62.81/17.32 % (2359950)------------------------------
% 62.81/17.32 % (2359950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.81/17.32 % (2359950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.81/17.32 % (2359950)CaDiCaL version: 2.1.3
% 62.81/17.32 % (2359950)Termination reason: Instruction limit
% 62.81/17.32 % (2359950)Termination phase: Preprocessing 1
% 62.81/17.32 % (2359950)Time elapsed: 0.104 s
% 62.81/17.32 % (2359950)Peak memory usage: 108 MB
% 62.81/17.32 % (2359950)Instructions burned: 151 (million)
% 62.81/17.32 % (2359952)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1287092526:i=14155:bd=all_2948 on theBenchmark for (2948ds/14155Mi)
% 62.81/17.32 % (2359918)Instruction limit reached!
% 62.81/17.32 % (2359918)------------------------------
% 62.81/17.32 % (2359918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.81/17.32 % (2359918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.81/17.32 % (2359918)CaDiCaL version: 2.1.3
% 62.81/17.32 % (2359918)Termination reason: Instruction limit
% 62.81/17.32 % (2359918)Termination phase: Saturation
% 62.81/17.32 % (2359918)Time elapsed: 6.106 s
% 62.81/17.32 % (2359918)Peak memory usage: 543 MB
% 62.81/17.32 % (2359918)Instructions burned: 5204 (million)
% 62.81/17.32 % (2359960)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2033478905:i=667:av=off:fsr=off_2912 on theBenchmark for (2912ds/667Mi)
% 62.81/17.32 % (2359960)Instruction limit reached!
% 62.81/17.32 % (2359960)------------------------------
% 62.81/17.32 % (2359960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.81/17.32 % (2359960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.81/17.32 % (2359960)CaDiCaL version: 2.1.3
% 62.81/17.32 % (2359960)Termination reason: Instruction limit
% 62.81/17.32 % (2359960)Termination phase: NewCNF
% 62.81/17.32 % (2359960)Time elapsed: 0.748 s
% 62.81/17.32 % (2359960)Peak memory usage: 142 MB
% 62.81/17.32 % (2359960)Instructions burned: 667 (million)
% 62.81/17.32 % (2359964)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=2989346120:s2a=on:i=185:s2at=1.8:fdi=4_2901 on theBenchmark for (2901ds/185Mi)
% 62.81/17.32 % (2359964)Instruction limit reached!
% 62.81/17.32 % (2359964)------------------------------
% 62.81/17.32 % (2359964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.81/17.32 % (2359964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.81/17.32 % (2359964)CaDiCaL version: 2.1.3
% 62.81/17.32 % (2359964)Termination reason: Instruction limit
% 62.81/17.32 % (2359964)Termination phase: Preprocessing 1
% 62.81/17.32 % (2359964)Time elapsed: 0.231 s
% 62.81/17.32 % (2359964)Peak memory usage: 109 MB
% 62.81/17.32 % (2359964)Instructions burned: 185 (million)
% 62.81/17.32 % (2359966)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1595300622:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2896 on theBenchmark for (2896ds/193Mi)
% 62.81/17.32 % (2359966)Instruction limit reached!
% 62.81/17.32 % (2359966)------------------------------
% 62.81/17.32 % (2359966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.81/17.32 % (2359966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.81/17.32 % (2359966)CaDiCaL version: 2.1.3
% 62.81/17.32 % (2359966)Termination reason: Instruction limit
% 62.81/17.32 % (2359966)Termination phase: SInE selection
% 62.81/17.32 % (2359966)Time elapsed: 0.237 s
% 62.81/17.32 % (2359966)Peak memory usage: 108 MB
% 62.81/17.32 % (2359966)Instructions burned: 193 (million)
% 62.81/17.32 % (2359968)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1285716955:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2891 on theBenchmark for (2891ds/4850Mi)
% 62.81/17.32 % (2359947)Instruction limit reached!
% 62.81/17.32 % (2359947)------------------------------
% 62.81/17.32 % (2359947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.81/17.32 % (2359947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.81/17.32 % (2359947)CaDiCaL version: 2.1.3
% 62.81/17.32 % (2359947)Termination reason: Instruction limit
% 62.81/17.32 % (2359947)Termination phase: Saturation
% 62.81/17.32 % (2359947)Time elapsed: 7.076 s
% 62.81/17.32 % (2359947)Peak memory usage: 619 MB
% 62.81/17.32 % (2359947)Instructions burned: 6061 (million)
% 62.81/17.32 % (2359974)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2857026095:i=12111:sd=1:ss=included_2880 on theBenchmark for (2880ds/12111Mi)
% 62.81/17.32 % (2359952)Instruction limit reached!
% 62.81/17.32 % (2359952)------------------------------
% 62.81/17.32 % (2359952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.81/17.32 % (2359952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.81/17.32 % (2359952)CaDiCaL version: 2.1.3
% 62.81/17.32 % (2359952)Termination reason: Instruction limit
% 62.81/17.32 % (2359952)Termination phase: Saturation
% 62.81/17.32 % (2359952)Time elapsed: 8.101 s
% 62.81/17.32 % (2359952)Peak memory usage: 457 MB
% 62.81/17.32 % (2359952)Instructions burned: 14157 (million)
% 62.81/17.32 % (2359978)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=4113208157:i=319:kws=precedence:fsr=off_2865 on theBenchmark for (2865ds/319Mi)
% 62.81/17.32 % (2359978)Instruction limit reached!
% 62.81/17.32 % (2359978)------------------------------
% 62.81/17.32 % (2359978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.81/17.32 % (2359978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.81/17.32 % (2359978)CaDiCaL version: 2.1.3
% 62.81/17.32 % (2359978)Termination reason: Instruction limit
% 62.81/17.32 % (2359978)Termination phase: Preprocessing 3
% 62.81/17.32 % (2359978)Time elapsed: 0.217 s
% 62.81/17.32 % (2359978)Peak memory usage: 128 MB
% 62.81/17.32 % (2359978)Instructions burned: 319 (million)
% 62.81/17.32 % (2359980)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3608757495:i=2064:ep=RST_2860 on theBenchmark for (2860ds/2064Mi)
% 62.81/17.32 % (2359980)Instruction limit reached!
% 62.81/17.32 % (2359980)------------------------------
% 62.81/17.32 % (2359980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.81/17.32 % (2359980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.81/17.32 % (2359980)CaDiCaL version: 2.1.3
% 62.81/17.32 % (2359980)Termination reason: Instruction limit
% 62.81/17.32 % (2359980)Termination phase: Property scanning
% 62.81/17.32 % (2359980)Time elapsed: 1.006 s
% 62.81/17.32 % (2359980)Peak memory usage: 159 MB
% 62.81/17.32 % (2359980)Instructions burned: 2064 (million)
% 62.81/17.32 % (2359987)dis-1011_128_sil=32000:random_seed=3627629330:i=3706:ep=RST:av=off_2848 on theBenchmark for (2848ds/3706Mi)
% 62.81/17.32 % (2359968)Instruction limit reached!
% 62.81/17.32 % (2359968)------------------------------
% 62.81/17.32 % (2359968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.81/17.32 % (2359968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.81/17.32 % (2359968)CaDiCaL version: 2.1.3
% 62.81/17.32 % (2359968)Termination reason: Instruction limit
% 62.81/17.32 % (2359968)Termination phase: Saturation
% 62.81/17.32 % (2359968)Time elapsed: 4.424 s
% 62.81/17.32 % (2359968)Peak memory usage: 197 MB
% 62.81/17.32 % (2359968)Instructions burned: 4850 (million)
% 62.81/17.32 % (2359989)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=532743373:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2844 on theBenchmark for (2844ds/757Mi)
% 62.81/17.32 % (2359989)First to succeed.
% 62.81/17.32 % (2359989)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2359715"
% 62.81/17.32 % (2359989)Refutation found. Thanks to Tanya!
% 62.81/17.32 % SZS status Theorem for theBenchmark
% 62.81/17.32 % SZS output start Proof for theBenchmark
% See solution above
% 112.98/17.54 % (2359989)------------------------------
% 112.98/17.54 % (2359989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.98/17.54 % (2359989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.98/17.54 % (2359989)CaDiCaL version: 2.1.3
% 112.98/17.54 % (2359989)Termination reason: Refutation
% 112.98/17.54 % (2359989)Time elapsed: 0.334 s
% 112.98/17.54 % (2359989)Peak memory usage: 117 MB
% 112.98/17.54 % (2359989)Instructions burned: 326 (million)
% 112.98/17.54 % (2359989)------------------------------
% 112.98/17.54 % (2359989)------------------------------
% 112.98/17.54 % (2359715)Success in time 16.637 s
% 112.98/17.54 % Vampire exiting
%------------------------------------------------------------------------------