%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CAT034+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:37:03 AM UTC 2026
% Result : Theorem 10.75s 1.97s
% Output : Refutation 10.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 35
% Syntax : Number of formulae : 220 ( 63 unt; 21 def)
% Number of atoms : 924 ( 164 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 1150 ( 446 ~; 438 |; 198 &)
% ( 17 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 5 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-5 aty)
% Number of functors : 49 ( 49 usr; 17 con; 0-7 aty)
% Number of variables : 352 ( 298 !; 54 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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/sandbox2/benchmark/theBenchmark.p',t4_yoneda_1) ).
fof(f2,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)],[f1]) ).
fof(f8,axiom,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f9,axiom,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( m4_nattra_1(X2,X0,X1)
=> ( X2 = k11_nattra_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( m2_cat_1(X4,X0,X1)
& ? [X5] :
( m2_cat_1(X5,X0,X1)
& ? [X6] :
( m2_nattra_1(X6,X0,X1,X4,X5)
& X3 = k4_tarski(k4_tarski(X4,X5),X6)
& r2_nattra_1(X0,X1,X4,X5) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d16_nattra_1) ).
fof(f10,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/sandbox2/benchmark/theBenchmark.p',d18_nattra_1) ).
fof(f13,axiom,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f17,axiom,
! [X0,X1] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1) )
=> m4_nattra_1(k11_nattra_1(X0,X1),X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_nattra_1) ).
fof(f19,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/sandbox2/benchmark/theBenchmark.p',dt_k12_nattra_1) ).
fof(f27,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/sandbox2/benchmark/theBenchmark.p',dt_k1_yoneda_1) ).
fof(f30,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/sandbox2/benchmark/theBenchmark.p',dt_k2_cat_1) ).
fof(f34,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/sandbox2/benchmark/theBenchmark.p',dt_k2_yoneda_1) ).
fof(f36,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/sandbox2/benchmark/theBenchmark.p',dt_k3_cat_1) ).
fof(f37,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/sandbox2/benchmark/theBenchmark.p',dt_k3_yoneda_1) ).
fof(f89,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f92,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/sandbox2/benchmark/theBenchmark.p',t3_yoneda_1) ).
fof(f98,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,[],[f10]) ).
fof(f103,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,[],[f2]) ).
fof(f104,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,[],[f103]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k11_nattra_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( m2_cat_1(X4,X0,X1)
& ? [X5] :
( m2_cat_1(X5,X0,X1)
& ? [X6] :
( m2_nattra_1(X6,X0,X1,X4,X5)
& X3 = k4_tarski(k4_tarski(X4,X5),X6)
& r2_nattra_1(X0,X1,X4,X5) ) ) ) ) )
| ~ m4_nattra_1(X2,X0,X1) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k11_nattra_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( m2_cat_1(X4,X0,X1)
& ? [X5] :
( m2_cat_1(X5,X0,X1)
& ? [X6] :
( m2_nattra_1(X6,X0,X1,X4,X5)
& X3 = k4_tarski(k4_tarski(X4,X5),X6)
& r2_nattra_1(X0,X1,X4,X5) ) ) ) ) )
| ~ m4_nattra_1(X2,X0,X1) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f112]) ).
fof(f114,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,[],[f98]) ).
fof(f115,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,[],[f114]) ).
fof(f126,plain,
! [X0,X1] :
( m4_nattra_1(k11_nattra_1(X0,X1),X0,X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f127,plain,
! [X0,X1] :
( m4_nattra_1(k11_nattra_1(X0,X1),X0,X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(flattening,[],[f126]) ).
fof(f129,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,[],[f19]) ).
fof(f130,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,[],[f129]) ).
fof(f133,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,[],[f27]) ).
fof(f134,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,[],[f133]) ).
fof(f137,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,[],[f30]) ).
fof(f138,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,[],[f137]) ).
fof(f139,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,[],[f34]) ).
fof(f140,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,[],[f139]) ).
fof(f141,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,[],[f36]) ).
fof(f142,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,[],[f141]) ).
fof(f143,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,[],[f37]) ).
fof(f144,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,[],[f143]) ).
fof(f204,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f89]) ).
fof(f208,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,[],[f92]) ).
fof(f209,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,[],[f208]) ).
fof(f216,definition,
! [X1,X0,X2] :
( sP0(X1,X0,X2)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( m2_cat_1(X4,X0,X1)
& ? [X5] :
( m2_cat_1(X5,X0,X1)
& ? [X6] :
( m2_nattra_1(X6,X0,X1,X4,X5)
& X3 = k4_tarski(k4_tarski(X4,X5),X6)
& r2_nattra_1(X0,X1,X4,X5) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f217,definition,
! [X2,X0,X1] :
( ( X2 = k11_nattra_1(X0,X1)
<=> sP0(X1,X0,X2) )
| ~ sP1(X2,X0,X1) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f218,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( sP1(X2,X0,X1)
| ~ m4_nattra_1(X2,X0,X1) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(definition_folding,[],[f113,f217,f216]) ).
fof(f219,definition,
! [X1,X0,X2] :
( sP2(X1,X0,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)) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f220,definition,
! [X2,X1,X0] :
( sP3(X2,X1,X0)
<=> ! [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)) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f221,definition,
! [X1,X0,X2] :
( sP4(X1,X0,X2)
<=> ( 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)) )
& sP3(X2,X1,X0)
& sP2(X1,X0,X2) ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f222,definition,
! [X2,X0,X1] :
( ( X2 = k12_nattra_1(X0,X1)
<=> sP4(X1,X0,X2) )
| ~ sP5(X2,X0,X1) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f223,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( sP5(X2,X0,X1)
| ~ 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(definition_folding,[],[f115,f222,f221,f220,f219]) ).
fof(f224,plain,
( ~ m1_subset_1(k4_tarski(k4_tarski(k2_yoneda_1(sK6,k3_cat_1(sK6,sK7)),k2_yoneda_1(sK6,k2_cat_1(sK6,sK7))),k3_yoneda_1(sK6,sK7)),u2_cat_1(k12_nattra_1(sK6,k1_yoneda_1(sK6))))
& m1_subset_1(sK7,u2_cat_1(sK6))
& v2_cat_1(sK6)
& l1_cat_1(sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X0,sK6),skolemize(X1,sK7)],[f104]) ).
fof(f225,plain,
! [X2,X0,X1] :
( ( ( X2 = k11_nattra_1(X0,X1)
| ~ sP0(X1,X0,X2) )
& ( sP0(X1,X0,X2)
| k11_nattra_1(X0,X1) != X2 ) )
| ~ sP1(X2,X0,X1) ),
inference(nnf_transformation,[],[f217]) ).
fof(f226,plain,
! [X0,X1,X2] :
( ( ( k11_nattra_1(X1,X2) = X0
| ~ sP0(X2,X1,X0) )
& ( sP0(X2,X1,X0)
| k11_nattra_1(X1,X2) != X0 ) )
| ~ sP1(X0,X1,X2) ),
inference(rectify,[],[f225]) ).
fof(f227,plain,
! [X1,X0,X2] :
( ( sP0(X1,X0,X2)
| ? [X3] :
( ( ! [X4] :
( ~ m2_cat_1(X4,X0,X1)
| ! [X5] :
( ~ m2_cat_1(X5,X0,X1)
| ! [X6] :
( ~ m2_nattra_1(X6,X0,X1,X4,X5)
| k4_tarski(k4_tarski(X4,X5),X6) != X3
| ~ r2_nattra_1(X0,X1,X4,X5) ) ) )
| ~ r2_hidden(X3,X2) )
& ( ? [X4] :
( m2_cat_1(X4,X0,X1)
& ? [X5] :
( m2_cat_1(X5,X0,X1)
& ? [X6] :
( m2_nattra_1(X6,X0,X1,X4,X5)
& X3 = k4_tarski(k4_tarski(X4,X5),X6)
& r2_nattra_1(X0,X1,X4,X5) ) ) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ! [X4] :
( ~ m2_cat_1(X4,X0,X1)
| ! [X5] :
( ~ m2_cat_1(X5,X0,X1)
| ! [X6] :
( ~ m2_nattra_1(X6,X0,X1,X4,X5)
| k4_tarski(k4_tarski(X4,X5),X6) != X3
| ~ r2_nattra_1(X0,X1,X4,X5) ) ) ) )
& ( ? [X4] :
( m2_cat_1(X4,X0,X1)
& ? [X5] :
( m2_cat_1(X5,X0,X1)
& ? [X6] :
( m2_nattra_1(X6,X0,X1,X4,X5)
& X3 = k4_tarski(k4_tarski(X4,X5),X6)
& r2_nattra_1(X0,X1,X4,X5) ) ) )
| ~ r2_hidden(X3,X2) ) )
| ~ sP0(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f216]) ).
fof(f228,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( ( ! [X4] :
( ~ m2_cat_1(X4,X1,X0)
| ! [X5] :
( ~ m2_cat_1(X5,X1,X0)
| ! [X6] :
( ~ m2_nattra_1(X6,X1,X0,X4,X5)
| k4_tarski(k4_tarski(X4,X5),X6) != X3
| ~ r2_nattra_1(X1,X0,X4,X5) ) ) )
| ~ r2_hidden(X3,X2) )
& ( ? [X7] :
( m2_cat_1(X7,X1,X0)
& ? [X8] :
( m2_cat_1(X8,X1,X0)
& ? [X9] :
( m2_nattra_1(X9,X1,X0,X7,X8)
& k4_tarski(k4_tarski(X7,X8),X9) = X3
& r2_nattra_1(X1,X0,X7,X8) ) ) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X10] :
( ( r2_hidden(X10,X2)
| ! [X11] :
( ~ m2_cat_1(X11,X1,X0)
| ! [X12] :
( ~ m2_cat_1(X12,X1,X0)
| ! [X13] :
( ~ m2_nattra_1(X13,X1,X0,X11,X12)
| k4_tarski(k4_tarski(X11,X12),X13) != X10
| ~ r2_nattra_1(X1,X0,X11,X12) ) ) ) )
& ( ? [X14] :
( m2_cat_1(X14,X1,X0)
& ? [X15] :
( m2_cat_1(X15,X1,X0)
& ? [X16] :
( m2_nattra_1(X16,X1,X0,X14,X15)
& k4_tarski(k4_tarski(X14,X15),X16) = X10
& r2_nattra_1(X1,X0,X14,X15) ) ) )
| ~ r2_hidden(X10,X2) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f227]) ).
fof(f229,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( ( ! [X4] :
( ~ m2_cat_1(X4,X1,X0)
| ! [X5] :
( ~ m2_cat_1(X5,X1,X0)
| ! [X6] :
( ~ m2_nattra_1(X6,X1,X0,X4,X5)
| k4_tarski(k4_tarski(X4,X5),X6) != sK8(X0,X1,X2)
| ~ r2_nattra_1(X1,X0,X4,X5) ) ) )
| ~ r2_hidden(sK8(X0,X1,X2),X2) )
& ( ( m2_cat_1(sK9(X0,X1,X2),X1,X0)
& m2_cat_1(sK10(X0,X1,X2),X1,X0)
& m2_nattra_1(sK11(X0,X1,X2),X1,X0,sK9(X0,X1,X2),sK10(X0,X1,X2))
& sK8(X0,X1,X2) = k4_tarski(k4_tarski(sK9(X0,X1,X2),sK10(X0,X1,X2)),sK11(X0,X1,X2))
& r2_nattra_1(X1,X0,sK9(X0,X1,X2),sK10(X0,X1,X2)) )
| r2_hidden(sK8(X0,X1,X2),X2) ) ) )
& ( ! [X10] :
( ( r2_hidden(X10,X2)
| ! [X11] :
( ~ m2_cat_1(X11,X1,X0)
| ! [X12] :
( ~ m2_cat_1(X12,X1,X0)
| ! [X13] :
( ~ m2_nattra_1(X13,X1,X0,X11,X12)
| k4_tarski(k4_tarski(X11,X12),X13) != X10
| ~ r2_nattra_1(X1,X0,X11,X12) ) ) ) )
& ( ( m2_cat_1(sK12(X0,X1,X10),X1,X0)
& m2_cat_1(sK13(X0,X1,X10),X1,X0)
& m2_nattra_1(sK14(X0,X1,X10),X1,X0,sK12(X0,X1,X10),sK13(X0,X1,X10))
& k4_tarski(k4_tarski(sK12(X0,X1,X10),sK13(X0,X1,X10)),sK14(X0,X1,X10)) = X10
& r2_nattra_1(X1,X0,sK12(X0,X1,X10),sK13(X0,X1,X10)) )
| ~ r2_hidden(X10,X2) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11,sK12,sK13,sK14]),skolemize(X3,sK8(X0,X1,X2)),skolemize(X7,sK9(X0,X1,X2)),skolemize(X8,sK10(X0,X1,X2)),skolemize(X9,sK11(X0,X1,X2)),skolemize(X14,sK12(X0,X1,X10)),skolemize(X15,sK13(X0,X1,X10)),skolemize(X16,sK14(X0,X1,X10))],[f228]) ).
fof(f230,plain,
! [X2,X0,X1] :
( ( ( X2 = k12_nattra_1(X0,X1)
| ~ sP4(X1,X0,X2) )
& ( sP4(X1,X0,X2)
| k12_nattra_1(X0,X1) != X2 ) )
| ~ sP5(X2,X0,X1) ),
inference(nnf_transformation,[],[f222]) ).
fof(f231,plain,
! [X0,X1,X2] :
( ( ( k12_nattra_1(X1,X2) = X0
| ~ sP4(X2,X1,X0) )
& ( sP4(X2,X1,X0)
| k12_nattra_1(X1,X2) != X0 ) )
| ~ sP5(X0,X1,X2) ),
inference(rectify,[],[f230]) ).
fof(f232,plain,
! [X1,X0,X2] :
( ( sP4(X1,X0,X2)
| u1_cat_1(X2) != k7_cat_2(X0,X1)
| k11_nattra_1(X0,X1) != u2_cat_1(X2)
| ? [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)) )
| ~ sP3(X2,X1,X0)
| ~ sP2(X1,X0,X2) )
& ( ( 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)) )
& sP3(X2,X1,X0)
& sP2(X1,X0,X2) )
| ~ sP4(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f221]) ).
fof(f233,plain,
! [X1,X0,X2] :
( ( sP4(X1,X0,X2)
| u1_cat_1(X2) != k7_cat_2(X0,X1)
| k11_nattra_1(X0,X1) != u2_cat_1(X2)
| ? [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)) )
| ~ sP3(X2,X1,X0)
| ~ sP2(X1,X0,X2) )
& ( ( 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)) )
& sP3(X2,X1,X0)
& sP2(X1,X0,X2) )
| ~ sP4(X1,X0,X2) ) ),
inference(flattening,[],[f232]) ).
fof(f234,plain,
! [X0,X1,X2] :
( ( sP4(X0,X1,X2)
| u1_cat_1(X2) != k7_cat_2(X1,X0)
| u2_cat_1(X2) != k11_nattra_1(X1,X0)
| ? [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)) )
| ~ sP3(X2,X0,X1)
| ~ sP2(X0,X1,X2) )
& ( ( u1_cat_1(X2) = k7_cat_2(X1,X0)
& u2_cat_1(X2) = k11_nattra_1(X1,X0)
& ! [X6] :
( ( k2_cat_1(X2,X6) = k1_mcart_1(k1_mcart_1(X6))
& k3_cat_1(X2,X6) = k2_mcart_1(k1_mcart_1(X6)) )
| ~ m1_subset_1(X6,u2_cat_1(X2)) )
& ! [X7] :
( ! [X8] :
( r2_hidden(k13_cat_2(X2,X2,X8,X7),k1_relat_1(u5_cat_1(X2)))
| k3_cat_1(X2,X7) != k2_cat_1(X2,X8)
| ~ m1_subset_1(X8,u2_cat_1(X2)) )
| ~ m1_subset_1(X7,u2_cat_1(X2)) )
& sP3(X2,X0,X1)
& sP2(X0,X1,X2) )
| ~ sP4(X0,X1,X2) ) ),
inference(rectify,[],[f233]) ).
fof(f235,plain,
! [X0,X1,X2] :
( ( sP4(X0,X1,X2)
| u1_cat_1(X2) != k7_cat_2(X1,X0)
| u2_cat_1(X2) != k11_nattra_1(X1,X0)
| ( ( k2_cat_1(X2,sK15(X2)) != k1_mcart_1(k1_mcart_1(sK15(X2)))
| k3_cat_1(X2,sK15(X2)) != k2_mcart_1(k1_mcart_1(sK15(X2))) )
& m1_subset_1(sK15(X2),u2_cat_1(X2)) )
| ( ~ r2_hidden(k13_cat_2(X2,X2,sK17(X2),sK16(X2)),k1_relat_1(u5_cat_1(X2)))
& k3_cat_1(X2,sK16(X2)) = k2_cat_1(X2,sK17(X2))
& m1_subset_1(sK17(X2),u2_cat_1(X2))
& m1_subset_1(sK16(X2),u2_cat_1(X2)) )
| ~ sP3(X2,X0,X1)
| ~ sP2(X0,X1,X2) )
& ( ( u1_cat_1(X2) = k7_cat_2(X1,X0)
& u2_cat_1(X2) = k11_nattra_1(X1,X0)
& ! [X6] :
( ( k2_cat_1(X2,X6) = k1_mcart_1(k1_mcart_1(X6))
& k3_cat_1(X2,X6) = k2_mcart_1(k1_mcart_1(X6)) )
| ~ m1_subset_1(X6,u2_cat_1(X2)) )
& ! [X7] :
( ! [X8] :
( r2_hidden(k13_cat_2(X2,X2,X8,X7),k1_relat_1(u5_cat_1(X2)))
| k3_cat_1(X2,X7) != k2_cat_1(X2,X8)
| ~ m1_subset_1(X8,u2_cat_1(X2)) )
| ~ m1_subset_1(X7,u2_cat_1(X2)) )
& sP3(X2,X0,X1)
& sP2(X0,X1,X2) )
| ~ sP4(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16,sK17]),skolemize(X3,sK15(X2)),skolemize(X4,sK16(X2)),skolemize(X5,sK17(X2))],[f234]) ).
fof(f258,plain,
l1_cat_1(sK6),
inference(cnf_transformation,[],[f224]) ).
fof(f259,plain,
v2_cat_1(sK6),
inference(cnf_transformation,[],[f224]) ).
fof(f260,plain,
m1_subset_1(sK7,u2_cat_1(sK6)),
inference(cnf_transformation,[],[f224]) ).
fof(f261,plain,
~ m1_subset_1(k4_tarski(k4_tarski(k2_yoneda_1(sK6,k3_cat_1(sK6,sK7)),k2_yoneda_1(sK6,k2_cat_1(sK6,sK7))),k3_yoneda_1(sK6,sK7)),u2_cat_1(k12_nattra_1(sK6,k1_yoneda_1(sK6)))),
inference(cnf_transformation,[],[f224]) ).
fof(f268,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
inference(cnf_transformation,[],[f8]) ).
fof(f269,plain,
! [X2,X0,X1] :
( sP0(X2,X1,X0)
| k11_nattra_1(X1,X2) != X0
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f226]) ).
fof(f276,plain,
! [X2,X10,X0,X11,X1,X12,X13] :
( r2_hidden(X10,X2)
| ~ m2_cat_1(X11,X1,X0)
| ~ m2_cat_1(X12,X1,X0)
| ~ m2_nattra_1(X13,X1,X0,X11,X12)
| k4_tarski(k4_tarski(X11,X12),X13) != X10
| ~ r2_nattra_1(X1,X0,X11,X12)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f229]) ).
fof(f283,plain,
! [X2,X0,X1] :
( ~ m4_nattra_1(X2,X0,X1)
| sP1(X2,X0,X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f284,plain,
! [X2,X0,X1] :
( sP4(X2,X1,X0)
| k12_nattra_1(X1,X2) != X0
| ~ sP5(X0,X1,X2) ),
inference(cnf_transformation,[],[f231]) ).
fof(f291,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1,X2)
| u2_cat_1(X2) = k11_nattra_1(X1,X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f318,plain,
! [X2,X0,X1] :
( sP5(X2,X0,X1)
| ~ 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(cnf_transformation,[],[f223]) ).
fof(f321,plain,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f327,plain,
! [X0,X1] :
( m4_nattra_1(k11_nattra_1(X0,X1),X0,X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f329,plain,
! [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(cnf_transformation,[],[f130]) ).
fof(f330,plain,
! [X0,X1] :
( v2_cat_1(k12_nattra_1(X0,X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f331,plain,
! [X0,X1] :
( v1_cat_1(k12_nattra_1(X0,X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f333,plain,
! [X0] :
( l1_cat_1(k1_yoneda_1(X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f334,plain,
! [X0] :
( v2_cat_1(k1_yoneda_1(X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f338,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,[],[f138]) ).
fof(f339,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(cnf_transformation,[],[f140]) ).
fof(f340,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,[],[f142]) ).
fof(f341,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(cnf_transformation,[],[f144]) ).
fof(f411,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f414,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(cnf_transformation,[],[f209]) ).
fof(f420,plain,
~ m1_subset_1(k2_tarski(k2_tarski(k2_tarski(k2_tarski(k2_yoneda_1(sK6,k3_cat_1(sK6,sK7)),k2_yoneda_1(sK6,k2_cat_1(sK6,sK7))),k1_tarski(k2_yoneda_1(sK6,k3_cat_1(sK6,sK7)))),k3_yoneda_1(sK6,sK7)),k1_tarski(k2_tarski(k2_tarski(k2_yoneda_1(sK6,k3_cat_1(sK6,sK7)),k2_yoneda_1(sK6,k2_cat_1(sK6,sK7))),k1_tarski(k2_yoneda_1(sK6,k3_cat_1(sK6,sK7)))))),u2_cat_1(k12_nattra_1(sK6,k1_yoneda_1(sK6)))),
inference(definition_unfolding,[],[f261,f321,f321]) ).
fof(f423,plain,
! [X2,X10,X0,X11,X1,X12,X13] :
( r2_hidden(X10,X2)
| ~ m2_cat_1(X11,X1,X0)
| ~ m2_cat_1(X12,X1,X0)
| ~ m2_nattra_1(X13,X1,X0,X11,X12)
| k2_tarski(k2_tarski(k2_tarski(k2_tarski(X11,X12),k1_tarski(X11)),X13),k1_tarski(k2_tarski(k2_tarski(X11,X12),k1_tarski(X11)))) != X10
| ~ r2_nattra_1(X1,X0,X11,X12)
| ~ sP0(X0,X1,X2) ),
inference(definition_unfolding,[],[f276,f321,f321]) ).
fof(f432,plain,
! [X2,X1] :
( ~ sP1(k11_nattra_1(X1,X2),X1,X2)
| sP0(X2,X1,k11_nattra_1(X1,X2)) ),
inference(equality_resolution,[],[f269]) ).
fof(f433,plain,
! [X2,X0,X11,X1,X12,X13] :
( ~ m2_nattra_1(X13,X1,X0,X11,X12)
| ~ m2_cat_1(X11,X1,X0)
| ~ m2_cat_1(X12,X1,X0)
| r2_hidden(k2_tarski(k2_tarski(k2_tarski(k2_tarski(X11,X12),k1_tarski(X11)),X13),k1_tarski(k2_tarski(k2_tarski(X11,X12),k1_tarski(X11)))),X2)
| ~ r2_nattra_1(X1,X0,X11,X12)
| ~ sP0(X0,X1,X2) ),
inference(equality_resolution,[],[f423]) ).
fof(f434,plain,
! [X2,X1] :
( ~ sP5(k12_nattra_1(X1,X2),X1,X2)
| sP4(X2,X1,k12_nattra_1(X1,X2)) ),
inference(equality_resolution,[],[f284]) ).
fof(f436,definition,
sF42 = k3_cat_1(sK6,sK7),
introduced(definition,[new_symbols(definition,[sF42])],[function_definition]) ).
fof(f437,plain,
k3_cat_1(sK6,sK7) = sF42,
inference(reorient_equations,[],[f436]) ).
fof(f438,definition,
sF43 = k2_yoneda_1(sK6,sF42),
introduced(definition,[new_symbols(definition,[sF43])],[function_definition]) ).
fof(f439,plain,
k2_yoneda_1(sK6,sF42) = sF43,
inference(reorient_equations,[],[f438]) ).
fof(f440,definition,
sF44 = k2_cat_1(sK6,sK7),
introduced(definition,[new_symbols(definition,[sF44])],[function_definition]) ).
fof(f441,plain,
k2_cat_1(sK6,sK7) = sF44,
inference(reorient_equations,[],[f440]) ).
fof(f442,definition,
sF45 = k2_yoneda_1(sK6,sF44),
introduced(definition,[new_symbols(definition,[sF45])],[function_definition]) ).
fof(f443,plain,
k2_yoneda_1(sK6,sF44) = sF45,
inference(reorient_equations,[],[f442]) ).
fof(f444,definition,
sF46 = k2_tarski(sF43,sF45),
introduced(definition,[new_symbols(definition,[sF46])],[function_definition]) ).
fof(f445,plain,
k2_tarski(sF43,sF45) = sF46,
inference(reorient_equations,[],[f444]) ).
fof(f446,definition,
sF47 = k1_tarski(sF43),
introduced(definition,[new_symbols(definition,[sF47])],[function_definition]) ).
fof(f447,plain,
k1_tarski(sF43) = sF47,
inference(reorient_equations,[],[f446]) ).
fof(f448,definition,
sF48 = k2_tarski(sF46,sF47),
introduced(definition,[new_symbols(definition,[sF48])],[function_definition]) ).
fof(f449,plain,
k2_tarski(sF46,sF47) = sF48,
inference(reorient_equations,[],[f448]) ).
fof(f450,definition,
sF49 = k3_yoneda_1(sK6,sK7),
introduced(definition,[new_symbols(definition,[sF49])],[function_definition]) ).
fof(f451,plain,
k3_yoneda_1(sK6,sK7) = sF49,
inference(reorient_equations,[],[f450]) ).
fof(f452,definition,
sF50 = k2_tarski(sF48,sF49),
introduced(definition,[new_symbols(definition,[sF50])],[function_definition]) ).
fof(f453,plain,
k2_tarski(sF48,sF49) = sF50,
inference(reorient_equations,[],[f452]) ).
fof(f454,definition,
sF51 = k1_tarski(sF48),
introduced(definition,[new_symbols(definition,[sF51])],[function_definition]) ).
fof(f455,plain,
k1_tarski(sF48) = sF51,
inference(reorient_equations,[],[f454]) ).
fof(f456,definition,
sF52 = k2_tarski(sF50,sF51),
introduced(definition,[new_symbols(definition,[sF52])],[function_definition]) ).
fof(f457,plain,
k2_tarski(sF50,sF51) = sF52,
inference(reorient_equations,[],[f456]) ).
fof(f458,definition,
sF53 = k1_yoneda_1(sK6),
introduced(definition,[new_symbols(definition,[sF53])],[function_definition]) ).
fof(f459,plain,
k1_yoneda_1(sK6) = sF53,
inference(reorient_equations,[],[f458]) ).
fof(f460,definition,
sF54 = k12_nattra_1(sK6,sF53),
introduced(definition,[new_symbols(definition,[sF54])],[function_definition]) ).
fof(f461,plain,
k12_nattra_1(sK6,sF53) = sF54,
inference(reorient_equations,[],[f460]) ).
fof(f462,definition,
sF55 = u2_cat_1(sF54),
introduced(definition,[new_symbols(definition,[sF55])],[function_definition]) ).
fof(f463,plain,
u2_cat_1(sF54) = sF55,
inference(reorient_equations,[],[f462]) ).
fof(f464,plain,
~ m1_subset_1(sF52,sF55),
inference(definition_folding,[],[f420,f463,f461,f459,f457,f455,f449,f447,f439,f437,f445,f443,f441,f439,f437,f453,f451,f449,f447,f439,f437,f445,f443,f441,f439,f437]) ).
fof(f465,definition,
sF56 = u2_cat_1(sK6),
introduced(definition,[new_symbols(definition,[sF56])],[function_definition]) ).
fof(f466,plain,
u2_cat_1(sK6) = sF56,
inference(reorient_equations,[],[f465]) ).
fof(f467,plain,
m1_subset_1(sK7,sF56),
inference(definition_folding,[],[f260,f466]) ).
fof(f482,plain,
( l1_cat_1(sF53)
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6) ),
inference(superposition,[],[f333,f459]) ).
fof(f483,plain,
( l1_cat_1(sF53)
| ~ l1_cat_1(sK6) ),
inference(forward_subsumption_resolution,[],[f482,f259]) ).
fof(f484,plain,
l1_cat_1(sF53),
inference(forward_subsumption_resolution,[],[f483,f258]) ).
fof(f485,plain,
( v2_cat_1(sF53)
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6) ),
inference(superposition,[],[f334,f459]) ).
fof(f486,plain,
( v2_cat_1(sF53)
| ~ l1_cat_1(sK6) ),
inference(forward_subsumption_resolution,[],[f485,f259]) ).
fof(f487,plain,
v2_cat_1(sF53),
inference(forward_subsumption_resolution,[],[f486,f258]) ).
fof(f592,plain,
( l1_cat_1(sF54)
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| ~ v2_cat_1(sF53)
| ~ l1_cat_1(sF53) ),
inference(superposition,[],[f329,f461]) ).
fof(f593,plain,
( l1_cat_1(sF54)
| ~ l1_cat_1(sK6)
| ~ v2_cat_1(sF53)
| ~ l1_cat_1(sF53) ),
inference(forward_subsumption_resolution,[],[f592,f259]) ).
fof(f595,plain,
( l1_cat_1(sF54)
| ~ v2_cat_1(sF53)
| ~ l1_cat_1(sF53) ),
inference(forward_subsumption_resolution,[],[f593,f258]) ).
fof(f596,plain,
( l1_cat_1(sF54)
| ~ l1_cat_1(sF53) ),
inference(forward_subsumption_resolution,[],[f595,f487]) ).
fof(f597,plain,
l1_cat_1(sF54),
inference(forward_subsumption_resolution,[],[f596,f484]) ).
fof(f599,plain,
( v2_cat_1(sF54)
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| ~ v2_cat_1(sF53)
| ~ l1_cat_1(sF53) ),
inference(superposition,[],[f330,f461]) ).
fof(f600,plain,
( v2_cat_1(sF54)
| ~ l1_cat_1(sK6)
| ~ v2_cat_1(sF53)
| ~ l1_cat_1(sF53) ),
inference(forward_subsumption_resolution,[],[f599,f259]) ).
fof(f601,plain,
( v2_cat_1(sF54)
| ~ v2_cat_1(sF53)
| ~ l1_cat_1(sF53) ),
inference(forward_subsumption_resolution,[],[f600,f258]) ).
fof(f602,plain,
( v2_cat_1(sF54)
| ~ l1_cat_1(sF53) ),
inference(forward_subsumption_resolution,[],[f601,f487]) ).
fof(f603,plain,
v2_cat_1(sF54),
inference(forward_subsumption_resolution,[],[f602,f484]) ).
fof(f604,plain,
( v1_cat_1(sF54)
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| ~ v2_cat_1(sF53)
| ~ l1_cat_1(sF53) ),
inference(superposition,[],[f331,f461]) ).
fof(f605,plain,
( v1_cat_1(sF54)
| ~ l1_cat_1(sK6)
| ~ v2_cat_1(sF53)
| ~ l1_cat_1(sF53) ),
inference(forward_subsumption_resolution,[],[f604,f259]) ).
fof(f606,plain,
( v1_cat_1(sF54)
| ~ v2_cat_1(sF53)
| ~ l1_cat_1(sF53) ),
inference(forward_subsumption_resolution,[],[f605,f258]) ).
fof(f607,plain,
( v1_cat_1(sF54)
| ~ l1_cat_1(sF53) ),
inference(forward_subsumption_resolution,[],[f606,f487]) ).
fof(f608,plain,
v1_cat_1(sF54),
inference(forward_subsumption_resolution,[],[f607,f484]) ).
fof(f613,plain,
( m1_subset_1(sF44,u1_cat_1(sK6))
| ~ l1_cat_1(sK6)
| ~ m1_subset_1(sK7,u2_cat_1(sK6)) ),
inference(superposition,[],[f338,f441]) ).
fof(f615,plain,
( m1_subset_1(sF44,u1_cat_1(sK6))
| ~ m1_subset_1(sK7,u2_cat_1(sK6)) ),
inference(forward_subsumption_resolution,[],[f613,f258]) ).
fof(f617,plain,
( ~ m1_subset_1(sK7,sF56)
| m1_subset_1(sF44,u1_cat_1(sK6)) ),
inference(forward_demodulation,[],[f615,f466]) ).
fof(f618,plain,
m1_subset_1(sF44,u1_cat_1(sK6)),
inference(forward_subsumption_resolution,[],[f617,f467]) ).
fof(f625,plain,
( m1_subset_1(sF42,u1_cat_1(sK6))
| ~ l1_cat_1(sK6)
| ~ m1_subset_1(sK7,u2_cat_1(sK6)) ),
inference(superposition,[],[f340,f437]) ).
fof(f627,plain,
( m1_subset_1(sF42,u1_cat_1(sK6))
| ~ m1_subset_1(sK7,u2_cat_1(sK6)) ),
inference(forward_subsumption_resolution,[],[f625,f258]) ).
fof(f629,plain,
( ~ m1_subset_1(sK7,sF56)
| m1_subset_1(sF42,u1_cat_1(sK6)) ),
inference(forward_demodulation,[],[f627,f466]) ).
fof(f630,plain,
m1_subset_1(sF42,u1_cat_1(sK6)),
inference(forward_subsumption_resolution,[],[f629,f467]) ).
fof(f646,plain,
( ~ sP5(sF54,sK6,sF53)
| sP4(sF53,sK6,sF54) ),
inference(superposition,[],[f434,f461]) ).
fof(f702,plain,
( m2_cat_1(sF43,sK6,k1_yoneda_1(sK6))
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| ~ m1_subset_1(sF42,u1_cat_1(sK6)) ),
inference(superposition,[],[f339,f439]) ).
fof(f703,plain,
( m2_cat_1(sF45,sK6,k1_yoneda_1(sK6))
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| ~ m1_subset_1(sF44,u1_cat_1(sK6)) ),
inference(superposition,[],[f339,f443]) ).
fof(f707,plain,
( m2_cat_1(sF45,sK6,k1_yoneda_1(sK6))
| ~ l1_cat_1(sK6)
| ~ m1_subset_1(sF44,u1_cat_1(sK6)) ),
inference(forward_subsumption_resolution,[],[f703,f259]) ).
fof(f708,plain,
( m2_cat_1(sF43,sK6,k1_yoneda_1(sK6))
| ~ l1_cat_1(sK6)
| ~ m1_subset_1(sF42,u1_cat_1(sK6)) ),
inference(forward_subsumption_resolution,[],[f702,f259]) ).
fof(f711,plain,
( m2_cat_1(sF45,sK6,k1_yoneda_1(sK6))
| ~ m1_subset_1(sF44,u1_cat_1(sK6)) ),
inference(forward_subsumption_resolution,[],[f707,f258]) ).
fof(f712,plain,
( m2_cat_1(sF43,sK6,k1_yoneda_1(sK6))
| ~ m1_subset_1(sF42,u1_cat_1(sK6)) ),
inference(forward_subsumption_resolution,[],[f708,f258]) ).
fof(f714,plain,
m2_cat_1(sF45,sK6,k1_yoneda_1(sK6)),
inference(forward_subsumption_resolution,[],[f711,f618]) ).
fof(f715,plain,
m2_cat_1(sF43,sK6,k1_yoneda_1(sK6)),
inference(forward_subsumption_resolution,[],[f712,f630]) ).
fof(f716,plain,
m2_cat_1(sF45,sK6,sF53),
inference(forward_demodulation,[],[f714,f459]) ).
fof(f717,plain,
m2_cat_1(sF43,sK6,sF53),
inference(forward_demodulation,[],[f715,f459]) ).
fof(f924,plain,
( r2_nattra_1(sK6,k1_yoneda_1(sK6),k2_yoneda_1(sK6,k3_cat_1(sK6,sK7)),k2_yoneda_1(sK6,sF44))
| ~ m1_subset_1(sK7,u2_cat_1(sK6))
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6) ),
inference(superposition,[],[f414,f441]) ).
fof(f925,plain,
( r2_nattra_1(sK6,k1_yoneda_1(sK6),k2_yoneda_1(sK6,k3_cat_1(sK6,sK7)),k2_yoneda_1(sK6,sF44))
| ~ m1_subset_1(sK7,u2_cat_1(sK6))
| ~ l1_cat_1(sK6) ),
inference(forward_subsumption_resolution,[],[f924,f259]) ).
fof(f928,plain,
( r2_nattra_1(sK6,k1_yoneda_1(sK6),k2_yoneda_1(sK6,k3_cat_1(sK6,sK7)),k2_yoneda_1(sK6,sF44))
| ~ m1_subset_1(sK7,u2_cat_1(sK6)) ),
inference(forward_subsumption_resolution,[],[f925,f258]) ).
fof(f931,plain,
( r2_nattra_1(sK6,k1_yoneda_1(sK6),k2_yoneda_1(sK6,k3_cat_1(sK6,sK7)),sF45)
| ~ m1_subset_1(sK7,u2_cat_1(sK6)) ),
inference(forward_demodulation,[],[f928,f443]) ).
fof(f934,plain,
( r2_nattra_1(sK6,k1_yoneda_1(sK6),k2_yoneda_1(sK6,sF42),sF45)
| ~ m1_subset_1(sK7,u2_cat_1(sK6)) ),
inference(forward_demodulation,[],[f931,f437]) ).
fof(f936,plain,
( r2_nattra_1(sK6,k1_yoneda_1(sK6),sF43,sF45)
| ~ m1_subset_1(sK7,u2_cat_1(sK6)) ),
inference(forward_demodulation,[],[f934,f439]) ).
fof(f938,plain,
( r2_nattra_1(sK6,sF53,sF43,sF45)
| ~ m1_subset_1(sK7,u2_cat_1(sK6)) ),
inference(forward_demodulation,[],[f936,f459]) ).
fof(f940,plain,
( ~ m1_subset_1(sK7,sF56)
| r2_nattra_1(sK6,sF53,sF43,sF45) ),
inference(forward_demodulation,[],[f938,f466]) ).
fof(f942,plain,
r2_nattra_1(sK6,sF53,sF43,sF45),
inference(forward_subsumption_resolution,[],[f940,f467]) ).
fof(f954,plain,
( m2_nattra_1(k3_yoneda_1(sK6,sK7),sK6,k1_yoneda_1(sK6),k2_yoneda_1(sK6,k3_cat_1(sK6,sK7)),k2_yoneda_1(sK6,sF44))
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| ~ m1_subset_1(sK7,u2_cat_1(sK6)) ),
inference(superposition,[],[f341,f441]) ).
fof(f955,plain,
( m2_nattra_1(k3_yoneda_1(sK6,sK7),sK6,k1_yoneda_1(sK6),k2_yoneda_1(sK6,k3_cat_1(sK6,sK7)),k2_yoneda_1(sK6,sF44))
| ~ l1_cat_1(sK6)
| ~ m1_subset_1(sK7,u2_cat_1(sK6)) ),
inference(forward_subsumption_resolution,[],[f954,f259]) ).
fof(f959,plain,
( m2_nattra_1(k3_yoneda_1(sK6,sK7),sK6,k1_yoneda_1(sK6),k2_yoneda_1(sK6,k3_cat_1(sK6,sK7)),k2_yoneda_1(sK6,sF44))
| ~ m1_subset_1(sK7,u2_cat_1(sK6)) ),
inference(forward_subsumption_resolution,[],[f955,f258]) ).
fof(f963,plain,
( m2_nattra_1(k3_yoneda_1(sK6,sK7),sK6,k1_yoneda_1(sK6),k2_yoneda_1(sK6,k3_cat_1(sK6,sK7)),sF45)
| ~ m1_subset_1(sK7,u2_cat_1(sK6)) ),
inference(forward_demodulation,[],[f959,f443]) ).
fof(f967,plain,
( m2_nattra_1(k3_yoneda_1(sK6,sK7),sK6,k1_yoneda_1(sK6),k2_yoneda_1(sK6,sF42),sF45)
| ~ m1_subset_1(sK7,u2_cat_1(sK6)) ),
inference(forward_demodulation,[],[f963,f437]) ).
fof(f970,plain,
( m2_nattra_1(k3_yoneda_1(sK6,sK7),sK6,k1_yoneda_1(sK6),sF43,sF45)
| ~ m1_subset_1(sK7,u2_cat_1(sK6)) ),
inference(forward_demodulation,[],[f967,f439]) ).
fof(f973,plain,
( m2_nattra_1(k3_yoneda_1(sK6,sK7),sK6,sF53,sF43,sF45)
| ~ m1_subset_1(sK7,u2_cat_1(sK6)) ),
inference(forward_demodulation,[],[f970,f459]) ).
fof(f976,plain,
( m2_nattra_1(sF49,sK6,sF53,sF43,sF45)
| ~ m1_subset_1(sK7,u2_cat_1(sK6)) ),
inference(forward_demodulation,[],[f973,f451]) ).
fof(f979,plain,
( ~ m1_subset_1(sK7,sF56)
| m2_nattra_1(sF49,sK6,sF53,sF43,sF45) ),
inference(forward_demodulation,[],[f976,f466]) ).
fof(f982,plain,
m2_nattra_1(sF49,sK6,sF53,sF43,sF45),
inference(forward_subsumption_resolution,[],[f979,f467]) ).
fof(f1161,plain,
! [X0] :
( ~ m2_cat_1(sF43,sK6,sF53)
| ~ m2_cat_1(sF45,sK6,sF53)
| r2_hidden(k2_tarski(k2_tarski(k2_tarski(k2_tarski(sF43,sF45),k1_tarski(sF43)),sF49),k1_tarski(k2_tarski(k2_tarski(sF43,sF45),k1_tarski(sF43)))),X0)
| ~ r2_nattra_1(sK6,sF53,sF43,sF45)
| ~ sP0(sF53,sK6,X0) ),
inference(resolution,[],[f433,f982]) ).
fof(f1164,plain,
! [X0] :
( ~ m2_cat_1(sF45,sK6,sF53)
| r2_hidden(k2_tarski(k2_tarski(k2_tarski(k2_tarski(sF43,sF45),k1_tarski(sF43)),sF49),k1_tarski(k2_tarski(k2_tarski(sF43,sF45),k1_tarski(sF43)))),X0)
| ~ r2_nattra_1(sK6,sF53,sF43,sF45)
| ~ sP0(sF53,sK6,X0) ),
inference(forward_subsumption_resolution,[],[f1161,f717]) ).
fof(f1169,plain,
! [X0] :
( r2_hidden(k2_tarski(k2_tarski(k2_tarski(k2_tarski(sF43,sF45),k1_tarski(sF43)),sF49),k1_tarski(k2_tarski(k2_tarski(sF43,sF45),k1_tarski(sF43)))),X0)
| ~ r2_nattra_1(sK6,sF53,sF43,sF45)
| ~ sP0(sF53,sK6,X0) ),
inference(forward_subsumption_resolution,[],[f1164,f716]) ).
fof(f1174,plain,
! [X0] :
( r2_hidden(k2_tarski(k2_tarski(k2_tarski(k2_tarski(sF43,sF45),k1_tarski(sF43)),sF49),k1_tarski(k2_tarski(k2_tarski(sF43,sF45),k1_tarski(sF43)))),X0)
| ~ sP0(sF53,sK6,X0) ),
inference(forward_subsumption_resolution,[],[f1169,f942]) ).
fof(f1178,plain,
! [X0] :
( r2_hidden(k2_tarski(k1_tarski(k2_tarski(k2_tarski(sF43,sF45),k1_tarski(sF43))),k2_tarski(k2_tarski(k2_tarski(sF43,sF45),k1_tarski(sF43)),sF49)),X0)
| ~ sP0(sF53,sK6,X0) ),
inference(forward_demodulation,[],[f1174,f268]) ).
fof(f1181,plain,
! [X0] :
( r2_hidden(k2_tarski(k1_tarski(k2_tarski(k2_tarski(sF43,sF45),k1_tarski(sF43))),k2_tarski(sF49,k2_tarski(k2_tarski(sF43,sF45),k1_tarski(sF43)))),X0)
| ~ sP0(sF53,sK6,X0) ),
inference(forward_demodulation,[],[f1178,f268]) ).
fof(f1183,plain,
! [X0] :
( r2_hidden(k2_tarski(k1_tarski(k2_tarski(k1_tarski(sF43),k2_tarski(sF43,sF45))),k2_tarski(sF49,k2_tarski(k1_tarski(sF43),k2_tarski(sF43,sF45)))),X0)
| ~ sP0(sF53,sK6,X0) ),
inference(forward_demodulation,[],[f1181,f268]) ).
fof(f1185,plain,
! [X0] :
( r2_hidden(k2_tarski(k1_tarski(k2_tarski(k1_tarski(sF43),sF46)),k2_tarski(sF49,k2_tarski(k1_tarski(sF43),sF46))),X0)
| ~ sP0(sF53,sK6,X0) ),
inference(forward_demodulation,[],[f1183,f445]) ).
fof(f1186,plain,
! [X0] :
( r2_hidden(k2_tarski(k1_tarski(k2_tarski(sF46,k1_tarski(sF43))),k2_tarski(sF49,k2_tarski(sF46,k1_tarski(sF43)))),X0)
| ~ sP0(sF53,sK6,X0) ),
inference(forward_demodulation,[],[f1185,f268]) ).
fof(f1187,plain,
! [X0] :
( r2_hidden(k2_tarski(k1_tarski(k2_tarski(sF46,sF47)),k2_tarski(sF49,k2_tarski(sF46,sF47))),X0)
| ~ sP0(sF53,sK6,X0) ),
inference(forward_demodulation,[],[f1186,f447]) ).
fof(f1188,plain,
! [X0] :
( r2_hidden(k2_tarski(k1_tarski(sF48),k2_tarski(sF49,sF48)),X0)
| ~ sP0(sF53,sK6,X0) ),
inference(forward_demodulation,[],[f1187,f449]) ).
fof(f1189,plain,
! [X0] :
( r2_hidden(k2_tarski(k1_tarski(sF48),k2_tarski(sF48,sF49)),X0)
| ~ sP0(sF53,sK6,X0) ),
inference(forward_demodulation,[],[f1188,f268]) ).
fof(f1190,plain,
! [X0] :
( r2_hidden(k2_tarski(k1_tarski(sF48),sF50),X0)
| ~ sP0(sF53,sK6,X0) ),
inference(forward_demodulation,[],[f1189,f453]) ).
fof(f1191,plain,
! [X0] :
( r2_hidden(k2_tarski(sF50,k1_tarski(sF48)),X0)
| ~ sP0(sF53,sK6,X0) ),
inference(forward_demodulation,[],[f1190,f268]) ).
fof(f1192,plain,
! [X0] :
( r2_hidden(k2_tarski(sF50,sF51),X0)
| ~ sP0(sF53,sK6,X0) ),
inference(forward_demodulation,[],[f1191,f455]) ).
fof(f1193,plain,
! [X0] :
( ~ sP0(sF53,sK6,X0)
| r2_hidden(sF52,X0) ),
inference(forward_demodulation,[],[f1192,f457]) ).
fof(f1740,plain,
( sP4(sF53,sK6,sF54)
| ~ v1_cat_1(sF54)
| ~ v2_cat_1(sF54)
| ~ l1_cat_1(sF54)
| ~ v2_cat_1(sF53)
| ~ l1_cat_1(sF53)
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6) ),
inference(resolution,[],[f646,f318]) ).
fof(f1741,plain,
( sP4(sF53,sK6,sF54)
| ~ v2_cat_1(sF54)
| ~ l1_cat_1(sF54)
| ~ v2_cat_1(sF53)
| ~ l1_cat_1(sF53)
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6) ),
inference(forward_subsumption_resolution,[],[f1740,f608]) ).
fof(f1742,plain,
( sP4(sF53,sK6,sF54)
| ~ l1_cat_1(sF54)
| ~ v2_cat_1(sF53)
| ~ l1_cat_1(sF53)
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6) ),
inference(forward_subsumption_resolution,[],[f1741,f603]) ).
fof(f1743,plain,
( sP4(sF53,sK6,sF54)
| ~ v2_cat_1(sF53)
| ~ l1_cat_1(sF53)
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6) ),
inference(forward_subsumption_resolution,[],[f1742,f597]) ).
fof(f1744,plain,
( sP4(sF53,sK6,sF54)
| ~ l1_cat_1(sF53)
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6) ),
inference(forward_subsumption_resolution,[],[f1743,f487]) ).
fof(f1745,plain,
( sP4(sF53,sK6,sF54)
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6) ),
inference(forward_subsumption_resolution,[],[f1744,f484]) ).
fof(f1746,plain,
( sP4(sF53,sK6,sF54)
| ~ l1_cat_1(sK6) ),
inference(forward_subsumption_resolution,[],[f1745,f259]) ).
fof(f1747,plain,
sP4(sF53,sK6,sF54),
inference(forward_subsumption_resolution,[],[f1746,f258]) ).
fof(f1751,plain,
u2_cat_1(sF54) = k11_nattra_1(sK6,sF53),
inference(resolution,[],[f1747,f291]) ).
fof(f1754,plain,
sF55 = k11_nattra_1(sK6,sF53),
inference(forward_demodulation,[],[f1751,f463]) ).
fof(f1768,plain,
( m4_nattra_1(sF55,sK6,sF53)
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| ~ v2_cat_1(sF53)
| ~ l1_cat_1(sF53) ),
inference(superposition,[],[f327,f1754]) ).
fof(f1769,plain,
( ~ sP1(sF55,sK6,sF53)
| sP0(sF53,sK6,sF55) ),
inference(superposition,[],[f432,f1754]) ).
fof(f1770,plain,
( m4_nattra_1(sF55,sK6,sF53)
| ~ l1_cat_1(sK6)
| ~ v2_cat_1(sF53)
| ~ l1_cat_1(sF53) ),
inference(forward_subsumption_resolution,[],[f1768,f259]) ).
fof(f1771,plain,
( m4_nattra_1(sF55,sK6,sF53)
| ~ v2_cat_1(sF53)
| ~ l1_cat_1(sF53) ),
inference(forward_subsumption_resolution,[],[f1770,f258]) ).
fof(f1772,plain,
( m4_nattra_1(sF55,sK6,sF53)
| ~ l1_cat_1(sF53) ),
inference(forward_subsumption_resolution,[],[f1771,f487]) ).
fof(f1773,plain,
m4_nattra_1(sF55,sK6,sF53),
inference(forward_subsumption_resolution,[],[f1772,f484]) ).
fof(f1777,plain,
( sP1(sF55,sK6,sF53)
| ~ v2_cat_1(sF53)
| ~ l1_cat_1(sF53)
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6) ),
inference(resolution,[],[f1773,f283]) ).
fof(f1780,plain,
( sP1(sF55,sK6,sF53)
| ~ l1_cat_1(sF53)
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6) ),
inference(forward_subsumption_resolution,[],[f1777,f487]) ).
fof(f1782,plain,
( sP1(sF55,sK6,sF53)
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6) ),
inference(forward_subsumption_resolution,[],[f1780,f484]) ).
fof(f1784,plain,
( sP1(sF55,sK6,sF53)
| ~ l1_cat_1(sK6) ),
inference(forward_subsumption_resolution,[],[f1782,f259]) ).
fof(f1786,plain,
sP1(sF55,sK6,sF53),
inference(forward_subsumption_resolution,[],[f1784,f258]) ).
fof(f2352,plain,
sP0(sF53,sK6,sF55),
inference(resolution,[],[f1769,f1786]) ).
fof(f2353,plain,
r2_hidden(sF52,sF55),
inference(resolution,[],[f2352,f1193]) ).
fof(f2375,plain,
m1_subset_1(sF52,sF55),
inference(resolution,[],[f2353,f411]) ).
fof(f2378,plain,
$false,
inference(forward_subsumption_resolution,[],[f2375,f464]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT034+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17 % Computer : n002.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 21:23:38 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 Running first-order model finding
% 0.08/0.20 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.80/1.26 % (783853)Will run a generic schedule for satisfiability detection.
% 6.80/1.26 % (783858)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1072992151_2999 on theBenchmark for (2999ds/0Mi)
% 6.80/1.26 % (783861)dis+10_1_sil=32000:sp=arity:random_seed=3877936276:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.80/1.26 % (783860)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=575695063:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.80/1.26 % (783863)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=276238994:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.80/1.26 % (783864)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1384125048:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.80/1.26 % (783859)% WARNING: option uhcvi not known.
% 6.80/1.26 % (783862)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3041102468:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.80/1.26 % (783859)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2097938323:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.80/1.26 % TRYING [1]
% 6.80/1.26 % TRYING [2]
% 6.80/1.26 % (783862)Instruction limit reached!
% 6.80/1.26 % (783862)------------------------------
% 6.80/1.26 % (783862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.80/1.26 % (783862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.26 % (783862)CaDiCaL version: 2.1.3
% 6.80/1.26 % (783862)Termination reason: Instruction limit
% 6.80/1.26 % (783862)Termination phase: Saturation
% 6.80/1.26 % (783862)Time elapsed: 0.036 s
% 6.80/1.26 % (783862)Peak memory usage: 13 MB
% 6.80/1.26 % (783862)Instructions burned: 118 (million)
% 6.80/1.26 % (783872)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3501117802:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.80/1.26 % (783861)Instruction limit reached!
% 6.80/1.26 % (783861)------------------------------
% 6.80/1.26 % (783861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.80/1.26 % (783861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.26 % (783861)CaDiCaL version: 2.1.3
% 6.80/1.26 % (783861)Termination reason: Instruction limit
% 6.80/1.26 % (783861)Termination phase: Saturation
% 6.80/1.26 % (783861)Time elapsed: 0.064 s
% 6.80/1.26 % (783861)Peak memory usage: 13 MB
% 6.80/1.26 % (783861)Instructions burned: 103 (million)
% 6.80/1.26 % TRYING [1]
% 6.80/1.26 % TRYING [2]
% 6.80/1.26 % (783863)Instruction limit reached!
% 6.80/1.26 % (783863)------------------------------
% 6.80/1.26 % (783863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.80/1.26 % (783863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.26 % (783863)CaDiCaL version: 2.1.3
% 6.80/1.26 % (783863)Termination reason: Instruction limit
% 6.80/1.26 % (783863)Termination phase: Saturation
% 6.80/1.26 % (783863)Time elapsed: 0.070 s
% 6.80/1.26 % (783863)Peak memory usage: 14 MB
% 6.80/1.26 % (783863)Instructions burned: 131 (million)
% 6.80/1.26 % (783864)Instruction limit reached!
% 6.80/1.26 % (783864)------------------------------
% 6.80/1.26 % (783864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.80/1.26 % (783864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.26 % (783864)CaDiCaL version: 2.1.3
% 6.80/1.26 % (783864)Termination reason: Instruction limit
% 6.80/1.26 % (783864)Termination phase: Saturation
% 6.80/1.26 % (783864)Time elapsed: 0.082 s
% 6.80/1.26 % (783864)Peak memory usage: 13 MB
% 6.80/1.26 % (783864)Instructions burned: 161 (million)
% 6.80/1.26 % TRYING [3]
% 6.80/1.26 % (783874)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1844346208:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 6.80/1.26 % (783875)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=900304314:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.80/1.26 % (783876)ott-21_1_sil=16000:fs=off:random_seed=473183324:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.80/1.26 % TRYING [3]
% 6.80/1.26 % (783874)Instruction limit reached!
% 6.80/1.26 % (783874)------------------------------
% 6.80/1.26 % (783874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.80/1.26 % (783874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/1.97 % (783874)CaDiCaL version: 2.1.3
% 10.75/1.97 % (783874)Termination reason: Instruction limit
% 10.75/1.97 % (783874)Termination phase: Saturation
% 10.75/1.97 % (783874)Time elapsed: 0.074 s
% 10.75/1.97 % (783874)Peak memory usage: 13 MB
% 10.75/1.97 % (783874)Instructions burned: 131 (million)
% 10.75/1.97 % (783880)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=665289503:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 10.75/1.97 % (783872)Instruction limit reached!
% 10.75/1.97 % (783872)------------------------------
% 10.75/1.97 % (783872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.75/1.97 % (783872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/1.97 % (783872)CaDiCaL version: 2.1.3
% 10.75/1.97 % (783872)Termination reason: Instruction limit
% 10.75/1.97 % (783872)Termination phase: Finite model building constraint generation
% 10.75/1.97 % (783872)Time elapsed: 0.132 s
% 10.75/1.97 % (783872)Peak memory usage: 22 MB
% 10.75/1.97 % (783872)Instructions burned: 720 (million)
% 10.75/1.97 % (783882)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2638135927:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 10.75/1.97 % (783876)Instruction limit reached!
% 10.75/1.97 % (783876)------------------------------
% 10.75/1.97 % (783876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.75/1.97 % (783876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/1.97 % (783876)CaDiCaL version: 2.1.3
% 10.75/1.97 % (783876)Termination reason: Instruction limit
% 10.75/1.97 % (783876)Termination phase: Saturation
% 10.75/1.97 % (783876)Time elapsed: 0.098 s
% 10.75/1.97 % (783876)Peak memory usage: 13 MB
% 10.75/1.97 % (783876)Instructions burned: 181 (million)
% 10.75/1.97 % TRYING [1]
% 10.75/1.97 % TRYING [2]
% 10.75/1.97 % (783884)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3684993233:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 10.75/1.97 % TRYING [3]
% 10.75/1.97 % (783882)Instruction limit reached!
% 10.75/1.97 % (783882)------------------------------
% 10.75/1.97 % (783882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.75/1.97 % (783882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/1.97 % (783882)CaDiCaL version: 2.1.3
% 10.75/1.97 % (783882)Termination reason: Instruction limit
% 10.75/1.97 % (783882)Termination phase: Finite model building constraint generation
% 10.75/1.97 % (783882)Time elapsed: 0.177 s
% 10.75/1.97 % (783882)Peak memory usage: 36 MB
% 10.75/1.97 % (783882)Instructions burned: 867 (million)
% 10.75/1.97 % (783886)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3006496310:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 10.75/1.97 % (783886)Cannot represent all propositional literals internally
% 10.75/1.97 % (783886)Refutation not found, incomplete strategy
% 10.75/1.97 % (783886)------------------------------
% 10.75/1.97 % (783886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.75/1.97 % (783886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/1.97 % (783886)CaDiCaL version: 2.1.3
% 10.75/1.97 % (783886)Termination reason: Refutation not found, incomplete strategy
% 10.75/1.97 % (783886)Time elapsed: 0.017 s
% 10.75/1.97 % (783886)Peak memory usage: 11 MB
% 10.75/1.97 % (783886)Instructions burned: 63 (million)
% 10.75/1.97 % (783886)------------------------------
% 10.75/1.97 % (783886)------------------------------
% 10.75/1.97 % (783888)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=826352618:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 10.75/1.97 % (783875)Instruction limit reached!
% 10.75/1.97 % (783875)------------------------------
% 10.75/1.97 % (783875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.75/1.97 % (783875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/1.97 % (783875)CaDiCaL version: 2.1.3
% 10.75/1.97 % (783875)Termination reason: Instruction limit
% 10.75/1.97 % (783875)Termination phase: Saturation
% 10.75/1.97 % (783875)Time elapsed: 0.354 s
% 10.75/1.97 % (783875)Peak memory usage: 18 MB
% 10.75/1.97 % (783875)Instructions burned: 685 (million)
% 10.75/1.97 % (783890)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2732157560:i=879:kws=inv_precedence:fsr=off_2995 on theBenchmark for (2995ds/879Mi)
% 10.75/1.97 % (783880)Instruction limit reached!
% 10.75/1.97 % (783880)------------------------------
% 10.75/1.97 % (783880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.75/1.97 % (783880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/1.97 % (783880)CaDiCaL version: 2.1.3
% 10.75/1.97 % (783880)Termination reason: Instruction limit
% 10.75/1.97 % (783880)Termination phase: Saturation
% 10.75/1.97 % (783880)Time elapsed: 0.303 s
% 10.75/1.97 % (783880)Peak memory usage: 16 MB
% 10.75/1.97 % (783880)Instructions burned: 478 (million)
% 10.75/1.97 % (783892)fmb+10_1_sil=64000:random_seed=481750004:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 10.75/1.97 % TRYING [1]
% 10.75/1.97 % TRYING [2]
% 10.75/1.97 % (783888)Instruction limit reached!
% 10.75/1.97 % (783888)------------------------------
% 10.75/1.97 % (783888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.75/1.97 % (783888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/1.97 % (783888)CaDiCaL version: 2.1.3
% 10.75/1.97 % (783888)Termination reason: Instruction limit
% 10.75/1.97 % (783888)Termination phase: Saturation
% 10.75/1.97 % (783888)Time elapsed: 0.204 s
% 10.75/1.97 % (783888)Peak memory usage: 21 MB
% 10.75/1.97 % (783888)Instructions burned: 694 (million)
% 10.75/1.97 % (783894)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4211528325:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 10.75/1.97 % (783894)Cannot represent all propositional literals internally
% 10.75/1.97 % (783894)Refutation not found, incomplete strategy
% 10.75/1.97 % (783894)------------------------------
% 10.75/1.97 % (783894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.75/1.97 % (783894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/1.97 % (783894)CaDiCaL version: 2.1.3
% 10.75/1.97 % (783894)Termination reason: Refutation not found, incomplete strategy
% 10.75/1.97 % (783894)Time elapsed: 0.012 s
% 10.75/1.97 % (783894)Peak memory usage: 11 MB
% 10.75/1.97 % (783894)Instructions burned: 47 (million)
% 10.75/1.97 % (783894)------------------------------
% 10.75/1.97 % (783894)------------------------------
% 10.75/1.97 % (783896)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1210710637:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 10.75/1.97 % TRYING [8]
% 10.75/1.97 % (783896)Instruction limit reached!
% 10.75/1.97 % (783896)------------------------------
% 10.75/1.97 % (783896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.75/1.97 % (783896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/1.97 % (783896)CaDiCaL version: 2.1.3
% 10.75/1.97 % (783896)Termination reason: Instruction limit
% 10.75/1.97 % (783896)Termination phase: Finite model building constraint generation
% 10.75/1.97 % (783896)Time elapsed: 0.171 s
% 10.75/1.97 % (783896)Peak memory usage: 52 MB
% 10.75/1.97 % (783896)Instructions burned: 921 (million)
% 10.75/1.97 % (783898)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3391782000:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 10.75/1.97 % (783884)Instruction limit reached!
% 10.75/1.97 % (783884)------------------------------
% 10.75/1.97 % (783884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.75/1.97 % (783884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/1.97 % (783884)CaDiCaL version: 2.1.3
% 10.75/1.97 % (783884)Termination reason: Instruction limit
% 10.75/1.97 % (783884)Termination phase: Saturation
% 10.75/1.97 % (783884)Time elapsed: 0.648 s
% 10.75/1.97 % (783884)Peak memory usage: 29 MB
% 10.75/1.97 % (783884)Instructions burned: 1181 (million)
% 10.75/1.97 % (783900)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1428245143:i=1472:ins=7:fdi=8:gsp=on_2990 on theBenchmark for (2990ds/1472Mi)
% 10.75/1.97 % (783890)Instruction limit reached!
% 10.75/1.97 % (783890)------------------------------
% 10.75/1.97 % (783890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.75/1.97 % (783890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/1.97 % (783890)CaDiCaL version: 2.1.3
% 10.75/1.97 % (783890)Termination reason: Instruction limit
% 10.75/1.97 % (783890)Termination phase: Saturation
% 10.75/1.97 % (783890)Time elapsed: 0.494 s
% 10.75/1.97 % (783890)Peak memory usage: 19 MB
% 10.75/1.97 % (783890)Instructions burned: 880 (million)
% 10.75/1.97 % (783902)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3335038263:i=6324_2990 on theBenchmark for (2990ds/6324Mi)
% 10.75/1.97 % (783902)Cannot represent all propositional literals internally
% 10.75/1.97 % (783902)Refutation not found, incomplete strategy
% 10.75/1.97 % (783902)------------------------------
% 10.75/1.97 % (783902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.75/1.97 % (783902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/1.97 % (783902)CaDiCaL version: 2.1.3
% 10.75/1.97 % (783902)Termination reason: Refutation not found, incomplete strategy
% 10.75/1.97 % (783902)Time elapsed: 0.035 s
% 10.75/1.97 % (783902)Peak memory usage: 12 MB
% 10.75/1.97 % (783902)Instructions burned: 70 (million)
% 10.75/1.97 % (783902)------------------------------
% 10.75/1.97 % (783902)------------------------------
% 10.75/1.97 % TRYING [3]
% 10.75/1.97 % (783904)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=4137050882:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 10.75/1.97 % (783904)Cannot represent all propositional literals internally
% 10.75/1.97 % (783904)Refutation not found, incomplete strategy
% 10.75/1.97 % (783904)------------------------------
% 10.75/1.97 % (783904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.75/1.97 % (783904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/1.97 % (783904)CaDiCaL version: 2.1.3
% 10.75/1.97 % (783904)Termination reason: Refutation not found, incomplete strategy
% 10.75/1.97 % (783904)Time elapsed: 0.238 s
% 10.75/1.97 % (783904)Peak memory usage: 15 MB
% 10.75/1.97 % (783904)Instructions burned: 487 (million)
% 10.75/1.97 % (783904)------------------------------
% 10.75/1.97 % (783904)------------------------------
% 10.75/1.97 % (783906)ott-2_1_sil=16000:newcnf=on:random_seed=269154876:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2986 on theBenchmark for (2986ds/869Mi)
% 10.75/1.97 % (783900)Instruction limit reached!
% 10.75/1.97 % (783900)------------------------------
% 10.75/1.97 % (783900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.75/1.97 % (783900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/1.97 % (783900)CaDiCaL version: 2.1.3
% 10.75/1.97 % (783900)Termination reason: Instruction limit
% 10.75/1.97 % (783900)Termination phase: Saturation
% 10.75/1.97 % (783900)Time elapsed: 0.721 s
% 10.75/1.97 % (783900)Peak memory usage: 29 MB
% 10.75/1.97 % (783900)Instructions burned: 1473 (million)
% 10.75/1.97 % (783908)ott+10_1_sil=32000:tgt=ground:random_seed=2388027131:i=5114:av=off_2983 on theBenchmark for (2983ds/5114Mi)
% 10.75/1.97 % (783908) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-783853-783908"...
% 10.75/1.97 % (783908)...printing done.
% 10.75/1.97 % (783908)Refutation found. Thanks to Tanya!
% 10.75/1.97 % SZS status Theorem for theBenchmark
% 10.75/1.97 % SZS output start Proof for theBenchmark
% See solution above
% 10.75/1.97 % (783908)------------------------------
% 10.75/1.97 % (783908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.75/1.97 % (783908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/1.97 % (783908)CaDiCaL version: 2.1.3
% 10.75/1.97 % (783908)Termination reason: Refutation
% 10.75/1.97 % (783908)Time elapsed: 0.065 s
% 10.75/1.97 % (783908)Peak memory usage: 13 MB
% 10.75/1.97 % (783908)Instructions burned: 105 (million)
% 10.75/1.97 % (783853)Success in time 1.761 s
% 10.75/1.97 % Vampire exiting
%------------------------------------------------------------------------------