%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : CAT034+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 23:59:51 EDT 2022
% Result : Theorem 0.25s 2.44s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 15
% Syntax : Number of formulae : 70 ( 14 unt; 0 def)
% Number of atoms : 813 ( 202 equ)
% Maximal formula atoms : 319 ( 11 avg)
% Number of connectives : 1253 ( 510 ~; 570 |; 117 &)
% ( 5 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 75 ( 8 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-5 aty)
% Number of functors : 43 ( 43 usr; 2 con; 0-7 aty)
% Number of variables : 180 ( 4 sgn 115 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t4_yoneda_1,conjecture,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u2_cat_1(X1))
=> m1_subset_1(k4_tarski(k4_tarski(k2_yoneda_1(X1,k3_cat_1(X1,X2)),k2_yoneda_1(X1,k2_cat_1(X1,X2))),k3_yoneda_1(X1,X2)),u2_cat_1(k12_nattra_1(X1,k1_yoneda_1(X1)))) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t4_yoneda_1) ).
fof(d18_nattra_1,axiom,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( ( v1_cat_1(X3)
& v2_cat_1(X3)
& l1_cat_1(X3) )
=> ( X3 = k12_nattra_1(X1,X2)
<=> ( u1_cat_1(X3) = k7_cat_2(X1,X2)
& u2_cat_1(X3) = k11_nattra_1(X1,X2)
& ! [X4] :
( m1_subset_1(X4,u2_cat_1(X3))
=> ( k2_cat_1(X3,X4) = k1_mcart_1(k1_mcart_1(X4))
& k3_cat_1(X3,X4) = k2_mcart_1(k1_mcart_1(X4)) ) )
& ! [X4] :
( m1_subset_1(X4,u2_cat_1(X3))
=> ! [X5] :
( m1_subset_1(X5,u2_cat_1(X3))
=> ( k2_cat_1(X3,X5) = k3_cat_1(X3,X4)
=> r2_hidden(k13_cat_2(X3,X3,X5,X4),k1_relat_1(u5_cat_1(X3))) ) ) )
& ! [X4] :
( m1_subset_1(X4,u2_cat_1(X3))
=> ! [X5] :
( m1_subset_1(X5,u2_cat_1(X3))
=> ~ ( r2_hidden(k13_cat_2(X3,X3,X5,X4),k1_relat_1(u5_cat_1(X3)))
& ! [X6] :
( m2_cat_1(X6,X1,X2)
=> ! [X7] :
( m2_cat_1(X7,X1,X2)
=> ! [X8] :
( m2_cat_1(X8,X1,X2)
=> ! [X9] :
( m2_nattra_1(X9,X1,X2,X6,X7)
=> ! [X10] :
( m2_nattra_1(X10,X1,X2,X7,X8)
=> ~ ( X4 = k4_tarski(k4_tarski(X6,X7),X9)
& X5 = k4_tarski(k4_tarski(X7,X8),X10)
& k1_funct_1(u5_cat_1(X3),k13_cat_2(X3,X3,X5,X4)) = k4_tarski(k4_tarski(X6,X8),k8_nattra_1(X1,X2,X6,X7,X8,X9,X10)) ) ) ) ) ) ) ) ) )
& ! [X4] :
( m1_subset_1(X4,u1_cat_1(X3))
=> ! [X5] :
( m2_cat_1(X5,X1,X2)
=> ( X5 = X4
=> k10_cat_1(X3,X4) = k4_tarski(k4_tarski(X5,X5),k7_nattra_1(X1,X2,X5)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d18_nattra_1) ).
fof(d16_nattra_1,axiom,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( m4_nattra_1(X3,X1,X2)
=> ( X3 = k11_nattra_1(X1,X2)
<=> ! [X4] :
( r2_hidden(X4,X3)
<=> ? [X5] :
( m2_cat_1(X5,X1,X2)
& ? [X6] :
( m2_cat_1(X6,X1,X2)
& ? [X7] :
( m2_nattra_1(X7,X1,X2,X5,X6)
& X4 = k4_tarski(k4_tarski(X5,X6),X7)
& r2_nattra_1(X1,X2,X5,X6) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d16_nattra_1) ).
fof(d5_tarski,axiom,
! [X1,X2] : k4_tarski(X1,X2) = k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d5_tarski) ).
fof(dt_k12_nattra_1,axiom,
! [X1,X2] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2) )
=> ( v1_cat_1(k12_nattra_1(X1,X2))
& v2_cat_1(k12_nattra_1(X1,X2))
& l1_cat_1(k12_nattra_1(X1,X2)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k12_nattra_1) ).
fof(commutativity_k2_tarski,axiom,
! [X1,X2] : k2_tarski(X1,X2) = k2_tarski(X2,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',commutativity_k2_tarski) ).
fof(dt_k3_yoneda_1,axiom,
! [X1,X2] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& m1_subset_1(X2,u2_cat_1(X1)) )
=> m2_nattra_1(k3_yoneda_1(X1,X2),X1,k1_yoneda_1(X1),k2_yoneda_1(X1,k3_cat_1(X1,X2)),k2_yoneda_1(X1,k2_cat_1(X1,X2))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k3_yoneda_1) ).
fof(dt_k1_yoneda_1,axiom,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ( v2_cat_1(k1_yoneda_1(X1))
& l1_cat_1(k1_yoneda_1(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k1_yoneda_1) ).
fof(t3_yoneda_1,axiom,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u2_cat_1(X1))
=> r2_nattra_1(X1,k1_yoneda_1(X1),k2_yoneda_1(X1,k3_cat_1(X1,X2)),k2_yoneda_1(X1,k2_cat_1(X1,X2))) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t3_yoneda_1) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t1_subset) ).
fof(dt_k11_nattra_1,axiom,
! [X1,X2] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2) )
=> m4_nattra_1(k11_nattra_1(X1,X2),X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k11_nattra_1) ).
fof(dt_k2_yoneda_1,axiom,
! [X1,X2] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& m1_subset_1(X2,u1_cat_1(X1)) )
=> m2_cat_1(k2_yoneda_1(X1,X2),X1,k1_yoneda_1(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k2_yoneda_1) ).
fof(dt_k2_cat_1,axiom,
! [X1,X2] :
( ( l1_cat_1(X1)
& m1_subset_1(X2,u2_cat_1(X1)) )
=> m1_subset_1(k2_cat_1(X1,X2),u1_cat_1(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k2_cat_1) ).
fof(dt_k3_cat_1,axiom,
! [X1,X2] :
( ( l1_cat_1(X1)
& m1_subset_1(X2,u2_cat_1(X1)) )
=> m1_subset_1(k3_cat_1(X1,X2),u1_cat_1(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k3_cat_1) ).
fof(c_0_14,plain,
! [X1,X2,X3] :
( epred1_3(X3,X2,X1)
<=> ( u1_cat_1(X3) = k7_cat_2(X1,X2)
& u2_cat_1(X3) = k11_nattra_1(X1,X2)
& ! [X4] :
( m1_subset_1(X4,u2_cat_1(X3))
=> ( k2_cat_1(X3,X4) = k1_mcart_1(k1_mcart_1(X4))
& k3_cat_1(X3,X4) = k2_mcart_1(k1_mcart_1(X4)) ) )
& ! [X4] :
( m1_subset_1(X4,u2_cat_1(X3))
=> ! [X5] :
( m1_subset_1(X5,u2_cat_1(X3))
=> ( k2_cat_1(X3,X5) = k3_cat_1(X3,X4)
=> r2_hidden(k13_cat_2(X3,X3,X5,X4),k1_relat_1(u5_cat_1(X3))) ) ) )
& ! [X4] :
( m1_subset_1(X4,u2_cat_1(X3))
=> ! [X5] :
( m1_subset_1(X5,u2_cat_1(X3))
=> ~ ( r2_hidden(k13_cat_2(X3,X3,X5,X4),k1_relat_1(u5_cat_1(X3)))
& ! [X6] :
( m2_cat_1(X6,X1,X2)
=> ! [X7] :
( m2_cat_1(X7,X1,X2)
=> ! [X8] :
( m2_cat_1(X8,X1,X2)
=> ! [X9] :
( m2_nattra_1(X9,X1,X2,X6,X7)
=> ! [X10] :
( m2_nattra_1(X10,X1,X2,X7,X8)
=> ~ ( X4 = k4_tarski(k4_tarski(X6,X7),X9)
& X5 = k4_tarski(k4_tarski(X7,X8),X10)
& k1_funct_1(u5_cat_1(X3),k13_cat_2(X3,X3,X5,X4)) = k4_tarski(k4_tarski(X6,X8),k8_nattra_1(X1,X2,X6,X7,X8,X9,X10)) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition) ).
fof(c_0_15,negated_conjecture,
~ ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u2_cat_1(X1))
=> m1_subset_1(k4_tarski(k4_tarski(k2_yoneda_1(X1,k3_cat_1(X1,X2)),k2_yoneda_1(X1,k2_cat_1(X1,X2))),k3_yoneda_1(X1,X2)),u2_cat_1(k12_nattra_1(X1,k1_yoneda_1(X1)))) ) ),
inference(assume_negation,[status(cth)],[t4_yoneda_1]) ).
fof(c_0_16,axiom,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( ( v1_cat_1(X3)
& v2_cat_1(X3)
& l1_cat_1(X3) )
=> ( X3 = k12_nattra_1(X1,X2)
<=> ( epred1_3(X3,X2,X1)
& ! [X4] :
( m1_subset_1(X4,u1_cat_1(X3))
=> ! [X5] :
( m2_cat_1(X5,X1,X2)
=> ( X5 = X4
=> k10_cat_1(X3,X4) = k4_tarski(k4_tarski(X5,X5),k7_nattra_1(X1,X2,X5)) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[d18_nattra_1,c_0_14]) ).
fof(c_0_17,plain,
! [X8,X9,X10,X11,X11,X15,X16,X17,X19,X20,X21] :
( ( m2_cat_1(esk3_4(X8,X9,X10,X11),X8,X9)
| ~ r2_hidden(X11,X10)
| X10 != k11_nattra_1(X8,X9)
| ~ m4_nattra_1(X10,X8,X9)
| ~ v2_cat_1(X9)
| ~ l1_cat_1(X9)
| ~ v2_cat_1(X8)
| ~ l1_cat_1(X8) )
& ( m2_cat_1(esk4_4(X8,X9,X10,X11),X8,X9)
| ~ r2_hidden(X11,X10)
| X10 != k11_nattra_1(X8,X9)
| ~ m4_nattra_1(X10,X8,X9)
| ~ v2_cat_1(X9)
| ~ l1_cat_1(X9)
| ~ v2_cat_1(X8)
| ~ l1_cat_1(X8) )
& ( m2_nattra_1(esk5_4(X8,X9,X10,X11),X8,X9,esk3_4(X8,X9,X10,X11),esk4_4(X8,X9,X10,X11))
| ~ r2_hidden(X11,X10)
| X10 != k11_nattra_1(X8,X9)
| ~ m4_nattra_1(X10,X8,X9)
| ~ v2_cat_1(X9)
| ~ l1_cat_1(X9)
| ~ v2_cat_1(X8)
| ~ l1_cat_1(X8) )
& ( X11 = k4_tarski(k4_tarski(esk3_4(X8,X9,X10,X11),esk4_4(X8,X9,X10,X11)),esk5_4(X8,X9,X10,X11))
| ~ r2_hidden(X11,X10)
| X10 != k11_nattra_1(X8,X9)
| ~ m4_nattra_1(X10,X8,X9)
| ~ v2_cat_1(X9)
| ~ l1_cat_1(X9)
| ~ v2_cat_1(X8)
| ~ l1_cat_1(X8) )
& ( r2_nattra_1(X8,X9,esk3_4(X8,X9,X10,X11),esk4_4(X8,X9,X10,X11))
| ~ r2_hidden(X11,X10)
| X10 != k11_nattra_1(X8,X9)
| ~ m4_nattra_1(X10,X8,X9)
| ~ v2_cat_1(X9)
| ~ l1_cat_1(X9)
| ~ v2_cat_1(X8)
| ~ l1_cat_1(X8) )
& ( ~ m2_cat_1(X15,X8,X9)
| ~ m2_cat_1(X16,X8,X9)
| ~ m2_nattra_1(X17,X8,X9,X15,X16)
| X11 != k4_tarski(k4_tarski(X15,X16),X17)
| ~ r2_nattra_1(X8,X9,X15,X16)
| r2_hidden(X11,X10)
| X10 != k11_nattra_1(X8,X9)
| ~ m4_nattra_1(X10,X8,X9)
| ~ v2_cat_1(X9)
| ~ l1_cat_1(X9)
| ~ v2_cat_1(X8)
| ~ l1_cat_1(X8) )
& ( ~ r2_hidden(esk6_3(X8,X9,X10),X10)
| ~ m2_cat_1(X19,X8,X9)
| ~ m2_cat_1(X20,X8,X9)
| ~ m2_nattra_1(X21,X8,X9,X19,X20)
| esk6_3(X8,X9,X10) != k4_tarski(k4_tarski(X19,X20),X21)
| ~ r2_nattra_1(X8,X9,X19,X20)
| X10 = k11_nattra_1(X8,X9)
| ~ m4_nattra_1(X10,X8,X9)
| ~ v2_cat_1(X9)
| ~ l1_cat_1(X9)
| ~ v2_cat_1(X8)
| ~ l1_cat_1(X8) )
& ( m2_cat_1(esk7_3(X8,X9,X10),X8,X9)
| r2_hidden(esk6_3(X8,X9,X10),X10)
| X10 = k11_nattra_1(X8,X9)
| ~ m4_nattra_1(X10,X8,X9)
| ~ v2_cat_1(X9)
| ~ l1_cat_1(X9)
| ~ v2_cat_1(X8)
| ~ l1_cat_1(X8) )
& ( m2_cat_1(esk8_3(X8,X9,X10),X8,X9)
| r2_hidden(esk6_3(X8,X9,X10),X10)
| X10 = k11_nattra_1(X8,X9)
| ~ m4_nattra_1(X10,X8,X9)
| ~ v2_cat_1(X9)
| ~ l1_cat_1(X9)
| ~ v2_cat_1(X8)
| ~ l1_cat_1(X8) )
& ( m2_nattra_1(esk9_3(X8,X9,X10),X8,X9,esk7_3(X8,X9,X10),esk8_3(X8,X9,X10))
| r2_hidden(esk6_3(X8,X9,X10),X10)
| X10 = k11_nattra_1(X8,X9)
| ~ m4_nattra_1(X10,X8,X9)
| ~ v2_cat_1(X9)
| ~ l1_cat_1(X9)
| ~ v2_cat_1(X8)
| ~ l1_cat_1(X8) )
& ( esk6_3(X8,X9,X10) = k4_tarski(k4_tarski(esk7_3(X8,X9,X10),esk8_3(X8,X9,X10)),esk9_3(X8,X9,X10))
| r2_hidden(esk6_3(X8,X9,X10),X10)
| X10 = k11_nattra_1(X8,X9)
| ~ m4_nattra_1(X10,X8,X9)
| ~ v2_cat_1(X9)
| ~ l1_cat_1(X9)
| ~ v2_cat_1(X8)
| ~ l1_cat_1(X8) )
& ( r2_nattra_1(X8,X9,esk7_3(X8,X9,X10),esk8_3(X8,X9,X10))
| r2_hidden(esk6_3(X8,X9,X10),X10)
| X10 = k11_nattra_1(X8,X9)
| ~ m4_nattra_1(X10,X8,X9)
| ~ v2_cat_1(X9)
| ~ l1_cat_1(X9)
| ~ v2_cat_1(X8)
| ~ l1_cat_1(X8) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d16_nattra_1])])])])])])]) ).
fof(c_0_18,plain,
! [X3,X4] : k4_tarski(X3,X4) = k2_tarski(k2_tarski(X3,X4),k1_tarski(X3)),
inference(variable_rename,[status(thm)],[d5_tarski]) ).
fof(c_0_19,negated_conjecture,
( v2_cat_1(esk1_0)
& l1_cat_1(esk1_0)
& m1_subset_1(esk2_0,u2_cat_1(esk1_0))
& ~ m1_subset_1(k4_tarski(k4_tarski(k2_yoneda_1(esk1_0,k3_cat_1(esk1_0,esk2_0)),k2_yoneda_1(esk1_0,k2_cat_1(esk1_0,esk2_0))),k3_yoneda_1(esk1_0,esk2_0)),u2_cat_1(k12_nattra_1(esk1_0,k1_yoneda_1(esk1_0)))) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])]) ).
fof(c_0_20,plain,
! [X6,X7,X8,X9,X10] :
( ( epred1_3(X8,X7,X6)
| X8 != k12_nattra_1(X6,X7)
| ~ v1_cat_1(X8)
| ~ v2_cat_1(X8)
| ~ l1_cat_1(X8)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X6) )
& ( ~ m1_subset_1(X9,u1_cat_1(X8))
| ~ m2_cat_1(X10,X6,X7)
| X10 != X9
| k10_cat_1(X8,X9) = k4_tarski(k4_tarski(X10,X10),k7_nattra_1(X6,X7,X10))
| X8 != k12_nattra_1(X6,X7)
| ~ v1_cat_1(X8)
| ~ v2_cat_1(X8)
| ~ l1_cat_1(X8)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X6) )
& ( m1_subset_1(esk10_3(X6,X7,X8),u1_cat_1(X8))
| ~ epred1_3(X8,X7,X6)
| X8 = k12_nattra_1(X6,X7)
| ~ v1_cat_1(X8)
| ~ v2_cat_1(X8)
| ~ l1_cat_1(X8)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X6) )
& ( m2_cat_1(esk11_3(X6,X7,X8),X6,X7)
| ~ epred1_3(X8,X7,X6)
| X8 = k12_nattra_1(X6,X7)
| ~ v1_cat_1(X8)
| ~ v2_cat_1(X8)
| ~ l1_cat_1(X8)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X6) )
& ( esk11_3(X6,X7,X8) = esk10_3(X6,X7,X8)
| ~ epred1_3(X8,X7,X6)
| X8 = k12_nattra_1(X6,X7)
| ~ v1_cat_1(X8)
| ~ v2_cat_1(X8)
| ~ l1_cat_1(X8)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X6) )
& ( k10_cat_1(X8,esk10_3(X6,X7,X8)) != k4_tarski(k4_tarski(esk11_3(X6,X7,X8),esk11_3(X6,X7,X8)),k7_nattra_1(X6,X7,esk11_3(X6,X7,X8)))
| ~ epred1_3(X8,X7,X6)
| X8 = k12_nattra_1(X6,X7)
| ~ v1_cat_1(X8)
| ~ v2_cat_1(X8)
| ~ l1_cat_1(X8)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])])])])]) ).
fof(c_0_21,plain,
! [X3,X4] :
( ( v1_cat_1(k12_nattra_1(X3,X4))
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4) )
& ( v2_cat_1(k12_nattra_1(X3,X4))
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4) )
& ( l1_cat_1(k12_nattra_1(X3,X4))
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k12_nattra_1])])]) ).
cnf(c_0_22,plain,
( r2_hidden(X4,X3)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m4_nattra_1(X3,X1,X2)
| X3 != k11_nattra_1(X1,X2)
| ~ r2_nattra_1(X1,X2,X5,X6)
| X4 != k4_tarski(k4_tarski(X5,X6),X7)
| ~ m2_nattra_1(X7,X1,X2,X5,X6)
| ~ m2_cat_1(X6,X1,X2)
| ~ m2_cat_1(X5,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
k4_tarski(X1,X2) = k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,negated_conjecture,
~ m1_subset_1(k4_tarski(k4_tarski(k2_yoneda_1(esk1_0,k3_cat_1(esk1_0,esk2_0)),k2_yoneda_1(esk1_0,k2_cat_1(esk1_0,esk2_0))),k3_yoneda_1(esk1_0,esk2_0)),u2_cat_1(k12_nattra_1(esk1_0,k1_yoneda_1(esk1_0)))),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_25,plain,
! [X3,X4] : k2_tarski(X3,X4) = k2_tarski(X4,X3),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
fof(c_0_26,plain,
! [X11,X12,X13,X14,X15,X16,X17,X18,X11,X12,X13,X29,X30,X31,X32,X33] :
( ( u1_cat_1(X13) = k7_cat_2(X11,X12)
| ~ epred1_3(X13,X12,X11) )
& ( u2_cat_1(X13) = k11_nattra_1(X11,X12)
| ~ epred1_3(X13,X12,X11) )
& ( k2_cat_1(X13,X14) = k1_mcart_1(k1_mcart_1(X14))
| ~ m1_subset_1(X14,u2_cat_1(X13))
| ~ epred1_3(X13,X12,X11) )
& ( k3_cat_1(X13,X14) = k2_mcart_1(k1_mcart_1(X14))
| ~ m1_subset_1(X14,u2_cat_1(X13))
| ~ epred1_3(X13,X12,X11) )
& ( ~ m1_subset_1(X15,u2_cat_1(X13))
| ~ m1_subset_1(X16,u2_cat_1(X13))
| k2_cat_1(X13,X16) != k3_cat_1(X13,X15)
| r2_hidden(k13_cat_2(X13,X13,X16,X15),k1_relat_1(u5_cat_1(X13)))
| ~ epred1_3(X13,X12,X11) )
& ( m2_cat_1(esk27_5(X11,X12,X13,X17,X18),X11,X12)
| ~ r2_hidden(k13_cat_2(X13,X13,X18,X17),k1_relat_1(u5_cat_1(X13)))
| ~ m1_subset_1(X18,u2_cat_1(X13))
| ~ m1_subset_1(X17,u2_cat_1(X13))
| ~ epred1_3(X13,X12,X11) )
& ( m2_cat_1(esk28_5(X11,X12,X13,X17,X18),X11,X12)
| ~ r2_hidden(k13_cat_2(X13,X13,X18,X17),k1_relat_1(u5_cat_1(X13)))
| ~ m1_subset_1(X18,u2_cat_1(X13))
| ~ m1_subset_1(X17,u2_cat_1(X13))
| ~ epred1_3(X13,X12,X11) )
& ( m2_cat_1(esk29_5(X11,X12,X13,X17,X18),X11,X12)
| ~ r2_hidden(k13_cat_2(X13,X13,X18,X17),k1_relat_1(u5_cat_1(X13)))
| ~ m1_subset_1(X18,u2_cat_1(X13))
| ~ m1_subset_1(X17,u2_cat_1(X13))
| ~ epred1_3(X13,X12,X11) )
& ( m2_nattra_1(esk30_5(X11,X12,X13,X17,X18),X11,X12,esk27_5(X11,X12,X13,X17,X18),esk28_5(X11,X12,X13,X17,X18))
| ~ r2_hidden(k13_cat_2(X13,X13,X18,X17),k1_relat_1(u5_cat_1(X13)))
| ~ m1_subset_1(X18,u2_cat_1(X13))
| ~ m1_subset_1(X17,u2_cat_1(X13))
| ~ epred1_3(X13,X12,X11) )
& ( m2_nattra_1(esk31_5(X11,X12,X13,X17,X18),X11,X12,esk28_5(X11,X12,X13,X17,X18),esk29_5(X11,X12,X13,X17,X18))
| ~ r2_hidden(k13_cat_2(X13,X13,X18,X17),k1_relat_1(u5_cat_1(X13)))
| ~ m1_subset_1(X18,u2_cat_1(X13))
| ~ m1_subset_1(X17,u2_cat_1(X13))
| ~ epred1_3(X13,X12,X11) )
& ( X17 = k4_tarski(k4_tarski(esk27_5(X11,X12,X13,X17,X18),esk28_5(X11,X12,X13,X17,X18)),esk30_5(X11,X12,X13,X17,X18))
| ~ r2_hidden(k13_cat_2(X13,X13,X18,X17),k1_relat_1(u5_cat_1(X13)))
| ~ m1_subset_1(X18,u2_cat_1(X13))
| ~ m1_subset_1(X17,u2_cat_1(X13))
| ~ epred1_3(X13,X12,X11) )
& ( X18 = k4_tarski(k4_tarski(esk28_5(X11,X12,X13,X17,X18),esk29_5(X11,X12,X13,X17,X18)),esk31_5(X11,X12,X13,X17,X18))
| ~ r2_hidden(k13_cat_2(X13,X13,X18,X17),k1_relat_1(u5_cat_1(X13)))
| ~ m1_subset_1(X18,u2_cat_1(X13))
| ~ m1_subset_1(X17,u2_cat_1(X13))
| ~ epred1_3(X13,X12,X11) )
& ( k1_funct_1(u5_cat_1(X13),k13_cat_2(X13,X13,X18,X17)) = k4_tarski(k4_tarski(esk27_5(X11,X12,X13,X17,X18),esk29_5(X11,X12,X13,X17,X18)),k8_nattra_1(X11,X12,esk27_5(X11,X12,X13,X17,X18),esk28_5(X11,X12,X13,X17,X18),esk29_5(X11,X12,X13,X17,X18),esk30_5(X11,X12,X13,X17,X18),esk31_5(X11,X12,X13,X17,X18)))
| ~ r2_hidden(k13_cat_2(X13,X13,X18,X17),k1_relat_1(u5_cat_1(X13)))
| ~ m1_subset_1(X18,u2_cat_1(X13))
| ~ m1_subset_1(X17,u2_cat_1(X13))
| ~ epred1_3(X13,X12,X11) )
& ( m1_subset_1(esk35_3(X11,X12,X13),u2_cat_1(X13))
| m1_subset_1(esk33_3(X11,X12,X13),u2_cat_1(X13))
| m1_subset_1(esk32_3(X11,X12,X13),u2_cat_1(X13))
| u1_cat_1(X13) != k7_cat_2(X11,X12)
| u2_cat_1(X13) != k11_nattra_1(X11,X12)
| epred1_3(X13,X12,X11) )
& ( m1_subset_1(esk36_3(X11,X12,X13),u2_cat_1(X13))
| m1_subset_1(esk33_3(X11,X12,X13),u2_cat_1(X13))
| m1_subset_1(esk32_3(X11,X12,X13),u2_cat_1(X13))
| u1_cat_1(X13) != k7_cat_2(X11,X12)
| u2_cat_1(X13) != k11_nattra_1(X11,X12)
| epred1_3(X13,X12,X11) )
& ( r2_hidden(k13_cat_2(X13,X13,esk36_3(X11,X12,X13),esk35_3(X11,X12,X13)),k1_relat_1(u5_cat_1(X13)))
| m1_subset_1(esk33_3(X11,X12,X13),u2_cat_1(X13))
| m1_subset_1(esk32_3(X11,X12,X13),u2_cat_1(X13))
| u1_cat_1(X13) != k7_cat_2(X11,X12)
| u2_cat_1(X13) != k11_nattra_1(X11,X12)
| epred1_3(X13,X12,X11) )
& ( ~ m2_cat_1(X29,X11,X12)
| ~ m2_cat_1(X30,X11,X12)
| ~ m2_cat_1(X31,X11,X12)
| ~ m2_nattra_1(X32,X11,X12,X29,X30)
| ~ m2_nattra_1(X33,X11,X12,X30,X31)
| esk35_3(X11,X12,X13) != k4_tarski(k4_tarski(X29,X30),X32)
| esk36_3(X11,X12,X13) != k4_tarski(k4_tarski(X30,X31),X33)
| k1_funct_1(u5_cat_1(X13),k13_cat_2(X13,X13,esk36_3(X11,X12,X13),esk35_3(X11,X12,X13))) != k4_tarski(k4_tarski(X29,X31),k8_nattra_1(X11,X12,X29,X30,X31,X32,X33))
| m1_subset_1(esk33_3(X11,X12,X13),u2_cat_1(X13))
| m1_subset_1(esk32_3(X11,X12,X13),u2_cat_1(X13))
| u1_cat_1(X13) != k7_cat_2(X11,X12)
| u2_cat_1(X13) != k11_nattra_1(X11,X12)
| epred1_3(X13,X12,X11) )
& ( m1_subset_1(esk35_3(X11,X12,X13),u2_cat_1(X13))
| m1_subset_1(esk34_3(X11,X12,X13),u2_cat_1(X13))
| m1_subset_1(esk32_3(X11,X12,X13),u2_cat_1(X13))
| u1_cat_1(X13) != k7_cat_2(X11,X12)
| u2_cat_1(X13) != k11_nattra_1(X11,X12)
| epred1_3(X13,X12,X11) )
& ( m1_subset_1(esk36_3(X11,X12,X13),u2_cat_1(X13))
| m1_subset_1(esk34_3(X11,X12,X13),u2_cat_1(X13))
| m1_subset_1(esk32_3(X11,X12,X13),u2_cat_1(X13))
| u1_cat_1(X13) != k7_cat_2(X11,X12)
| u2_cat_1(X13) != k11_nattra_1(X11,X12)
| epred1_3(X13,X12,X11) )
& ( r2_hidden(k13_cat_2(X13,X13,esk36_3(X11,X12,X13),esk35_3(X11,X12,X13)),k1_relat_1(u5_cat_1(X13)))
| m1_subset_1(esk34_3(X11,X12,X13),u2_cat_1(X13))
| m1_subset_1(esk32_3(X11,X12,X13),u2_cat_1(X13))
| u1_cat_1(X13) != k7_cat_2(X11,X12)
| u2_cat_1(X13) != k11_nattra_1(X11,X12)
| epred1_3(X13,X12,X11) )
& ( ~ m2_cat_1(X29,X11,X12)
| ~ m2_cat_1(X30,X11,X12)
| ~ m2_cat_1(X31,X11,X12)
| ~ m2_nattra_1(X32,X11,X12,X29,X30)
| ~ m2_nattra_1(X33,X11,X12,X30,X31)
| esk35_3(X11,X12,X13) != k4_tarski(k4_tarski(X29,X30),X32)
| esk36_3(X11,X12,X13) != k4_tarski(k4_tarski(X30,X31),X33)
| k1_funct_1(u5_cat_1(X13),k13_cat_2(X13,X13,esk36_3(X11,X12,X13),esk35_3(X11,X12,X13))) != k4_tarski(k4_tarski(X29,X31),k8_nattra_1(X11,X12,X29,X30,X31,X32,X33))
| m1_subset_1(esk34_3(X11,X12,X13),u2_cat_1(X13))
| m1_subset_1(esk32_3(X11,X12,X13),u2_cat_1(X13))
| u1_cat_1(X13) != k7_cat_2(X11,X12)
| u2_cat_1(X13) != k11_nattra_1(X11,X12)
| epred1_3(X13,X12,X11) )
& ( m1_subset_1(esk35_3(X11,X12,X13),u2_cat_1(X13))
| k2_cat_1(X13,esk34_3(X11,X12,X13)) = k3_cat_1(X13,esk33_3(X11,X12,X13))
| m1_subset_1(esk32_3(X11,X12,X13),u2_cat_1(X13))
| u1_cat_1(X13) != k7_cat_2(X11,X12)
| u2_cat_1(X13) != k11_nattra_1(X11,X12)
| epred1_3(X13,X12,X11) )
& ( m1_subset_1(esk36_3(X11,X12,X13),u2_cat_1(X13))
| k2_cat_1(X13,esk34_3(X11,X12,X13)) = k3_cat_1(X13,esk33_3(X11,X12,X13))
| m1_subset_1(esk32_3(X11,X12,X13),u2_cat_1(X13))
| u1_cat_1(X13) != k7_cat_2(X11,X12)
| u2_cat_1(X13) != k11_nattra_1(X11,X12)
| epred1_3(X13,X12,X11) )
& ( r2_hidden(k13_cat_2(X13,X13,esk36_3(X11,X12,X13),esk35_3(X11,X12,X13)),k1_relat_1(u5_cat_1(X13)))
| k2_cat_1(X13,esk34_3(X11,X12,X13)) = k3_cat_1(X13,esk33_3(X11,X12,X13))
| m1_subset_1(esk32_3(X11,X12,X13),u2_cat_1(X13))
| u1_cat_1(X13) != k7_cat_2(X11,X12)
| u2_cat_1(X13) != k11_nattra_1(X11,X12)
| epred1_3(X13,X12,X11) )
& ( ~ m2_cat_1(X29,X11,X12)
| ~ m2_cat_1(X30,X11,X12)
| ~ m2_cat_1(X31,X11,X12)
| ~ m2_nattra_1(X32,X11,X12,X29,X30)
| ~ m2_nattra_1(X33,X11,X12,X30,X31)
| esk35_3(X11,X12,X13) != k4_tarski(k4_tarski(X29,X30),X32)
| esk36_3(X11,X12,X13) != k4_tarski(k4_tarski(X30,X31),X33)
| k1_funct_1(u5_cat_1(X13),k13_cat_2(X13,X13,esk36_3(X11,X12,X13),esk35_3(X11,X12,X13))) != k4_tarski(k4_tarski(X29,X31),k8_nattra_1(X11,X12,X29,X30,X31,X32,X33))
| k2_cat_1(X13,esk34_3(X11,X12,X13)) = k3_cat_1(X13,esk33_3(X11,X12,X13))
| m1_subset_1(esk32_3(X11,X12,X13),u2_cat_1(X13))
| u1_cat_1(X13) != k7_cat_2(X11,X12)
| u2_cat_1(X13) != k11_nattra_1(X11,X12)
| epred1_3(X13,X12,X11) )
& ( m1_subset_1(esk35_3(X11,X12,X13),u2_cat_1(X13))
| ~ r2_hidden(k13_cat_2(X13,X13,esk34_3(X11,X12,X13),esk33_3(X11,X12,X13)),k1_relat_1(u5_cat_1(X13)))
| m1_subset_1(esk32_3(X11,X12,X13),u2_cat_1(X13))
| u1_cat_1(X13) != k7_cat_2(X11,X12)
| u2_cat_1(X13) != k11_nattra_1(X11,X12)
| epred1_3(X13,X12,X11) )
& ( m1_subset_1(esk36_3(X11,X12,X13),u2_cat_1(X13))
| ~ r2_hidden(k13_cat_2(X13,X13,esk34_3(X11,X12,X13),esk33_3(X11,X12,X13)),k1_relat_1(u5_cat_1(X13)))
| m1_subset_1(esk32_3(X11,X12,X13),u2_cat_1(X13))
| u1_cat_1(X13) != k7_cat_2(X11,X12)
| u2_cat_1(X13) != k11_nattra_1(X11,X12)
| epred1_3(X13,X12,X11) )
& ( r2_hidden(k13_cat_2(X13,X13,esk36_3(X11,X12,X13),esk35_3(X11,X12,X13)),k1_relat_1(u5_cat_1(X13)))
| ~ r2_hidden(k13_cat_2(X13,X13,esk34_3(X11,X12,X13),esk33_3(X11,X12,X13)),k1_relat_1(u5_cat_1(X13)))
| m1_subset_1(esk32_3(X11,X12,X13),u2_cat_1(X13))
| u1_cat_1(X13) != k7_cat_2(X11,X12)
| u2_cat_1(X13) != k11_nattra_1(X11,X12)
| epred1_3(X13,X12,X11) )
& ( ~ m2_cat_1(X29,X11,X12)
| ~ m2_cat_1(X30,X11,X12)
| ~ m2_cat_1(X31,X11,X12)
| ~ m2_nattra_1(X32,X11,X12,X29,X30)
| ~ m2_nattra_1(X33,X11,X12,X30,X31)
| esk35_3(X11,X12,X13) != k4_tarski(k4_tarski(X29,X30),X32)
| esk36_3(X11,X12,X13) != k4_tarski(k4_tarski(X30,X31),X33)
| k1_funct_1(u5_cat_1(X13),k13_cat_2(X13,X13,esk36_3(X11,X12,X13),esk35_3(X11,X12,X13))) != k4_tarski(k4_tarski(X29,X31),k8_nattra_1(X11,X12,X29,X30,X31,X32,X33))
| ~ r2_hidden(k13_cat_2(X13,X13,esk34_3(X11,X12,X13),esk33_3(X11,X12,X13)),k1_relat_1(u5_cat_1(X13)))
| m1_subset_1(esk32_3(X11,X12,X13),u2_cat_1(X13))
| u1_cat_1(X13) != k7_cat_2(X11,X12)
| u2_cat_1(X13) != k11_nattra_1(X11,X12)
| epred1_3(X13,X12,X11) )
& ( m1_subset_1(esk35_3(X11,X12,X13),u2_cat_1(X13))
| m1_subset_1(esk33_3(X11,X12,X13),u2_cat_1(X13))
| k2_cat_1(X13,esk32_3(X11,X12,X13)) != k1_mcart_1(k1_mcart_1(esk32_3(X11,X12,X13)))
| k3_cat_1(X13,esk32_3(X11,X12,X13)) != k2_mcart_1(k1_mcart_1(esk32_3(X11,X12,X13)))
| u1_cat_1(X13) != k7_cat_2(X11,X12)
| u2_cat_1(X13) != k11_nattra_1(X11,X12)
| epred1_3(X13,X12,X11) )
& ( m1_subset_1(esk36_3(X11,X12,X13),u2_cat_1(X13))
| m1_subset_1(esk33_3(X11,X12,X13),u2_cat_1(X13))
| k2_cat_1(X13,esk32_3(X11,X12,X13)) != k1_mcart_1(k1_mcart_1(esk32_3(X11,X12,X13)))
| k3_cat_1(X13,esk32_3(X11,X12,X13)) != k2_mcart_1(k1_mcart_1(esk32_3(X11,X12,X13)))
| u1_cat_1(X13) != k7_cat_2(X11,X12)
| u2_cat_1(X13) != k11_nattra_1(X11,X12)
| epred1_3(X13,X12,X11) )
& ( r2_hidden(k13_cat_2(X13,X13,esk36_3(X11,X12,X13),esk35_3(X11,X12,X13)),k1_relat_1(u5_cat_1(X13)))
| m1_subset_1(esk33_3(X11,X12,X13),u2_cat_1(X13))
| k2_cat_1(X13,esk32_3(X11,X12,X13)) != k1_mcart_1(k1_mcart_1(esk32_3(X11,X12,X13)))
| k3_cat_1(X13,esk32_3(X11,X12,X13)) != k2_mcart_1(k1_mcart_1(esk32_3(X11,X12,X13)))
| u1_cat_1(X13) != k7_cat_2(X11,X12)
| u2_cat_1(X13) != k11_nattra_1(X11,X12)
| epred1_3(X13,X12,X11) )
& ( ~ m2_cat_1(X29,X11,X12)
| ~ m2_cat_1(X30,X11,X12)
| ~ m2_cat_1(X31,X11,X12)
| ~ m2_nattra_1(X32,X11,X12,X29,X30)
| ~ m2_nattra_1(X33,X11,X12,X30,X31)
| esk35_3(X11,X12,X13) != k4_tarski(k4_tarski(X29,X30),X32)
| esk36_3(X11,X12,X13) != k4_tarski(k4_tarski(X30,X31),X33)
| k1_funct_1(u5_cat_1(X13),k13_cat_2(X13,X13,esk36_3(X11,X12,X13),esk35_3(X11,X12,X13))) != k4_tarski(k4_tarski(X29,X31),k8_nattra_1(X11,X12,X29,X30,X31,X32,X33))
| m1_subset_1(esk33_3(X11,X12,X13),u2_cat_1(X13))
| k2_cat_1(X13,esk32_3(X11,X12,X13)) != k1_mcart_1(k1_mcart_1(esk32_3(X11,X12,X13)))
| k3_cat_1(X13,esk32_3(X11,X12,X13)) != k2_mcart_1(k1_mcart_1(esk32_3(X11,X12,X13)))
| u1_cat_1(X13) != k7_cat_2(X11,X12)
| u2_cat_1(X13) != k11_nattra_1(X11,X12)
| epred1_3(X13,X12,X11) )
& ( m1_subset_1(esk35_3(X11,X12,X13),u2_cat_1(X13))
| m1_subset_1(esk34_3(X11,X12,X13),u2_cat_1(X13))
| k2_cat_1(X13,esk32_3(X11,X12,X13)) != k1_mcart_1(k1_mcart_1(esk32_3(X11,X12,X13)))
| k3_cat_1(X13,esk32_3(X11,X12,X13)) != k2_mcart_1(k1_mcart_1(esk32_3(X11,X12,X13)))
| u1_cat_1(X13) != k7_cat_2(X11,X12)
| u2_cat_1(X13) != k11_nattra_1(X11,X12)
| epred1_3(X13,X12,X11) )
& ( m1_subset_1(esk36_3(X11,X12,X13),u2_cat_1(X13))
| m1_subset_1(esk34_3(X11,X12,X13),u2_cat_1(X13))
| k2_cat_1(X13,esk32_3(X11,X12,X13)) != k1_mcart_1(k1_mcart_1(esk32_3(X11,X12,X13)))
| k3_cat_1(X13,esk32_3(X11,X12,X13)) != k2_mcart_1(k1_mcart_1(esk32_3(X11,X12,X13)))
| u1_cat_1(X13) != k7_cat_2(X11,X12)
| u2_cat_1(X13) != k11_nattra_1(X11,X12)
| epred1_3(X13,X12,X11) )
& ( r2_hidden(k13_cat_2(X13,X13,esk36_3(X11,X12,X13),esk35_3(X11,X12,X13)),k1_relat_1(u5_cat_1(X13)))
| m1_subset_1(esk34_3(X11,X12,X13),u2_cat_1(X13))
| k2_cat_1(X13,esk32_3(X11,X12,X13)) != k1_mcart_1(k1_mcart_1(esk32_3(X11,X12,X13)))
| k3_cat_1(X13,esk32_3(X11,X12,X13)) != k2_mcart_1(k1_mcart_1(esk32_3(X11,X12,X13)))
| u1_cat_1(X13) != k7_cat_2(X11,X12)
| u2_cat_1(X13) != k11_nattra_1(X11,X12)
| epred1_3(X13,X12,X11) )
& ( ~ m2_cat_1(X29,X11,X12)
| ~ m2_cat_1(X30,X11,X12)
| ~ m2_cat_1(X31,X11,X12)
| ~ m2_nattra_1(X32,X11,X12,X29,X30)
| ~ m2_nattra_1(X33,X11,X12,X30,X31)
| esk35_3(X11,X12,X13) != k4_tarski(k4_tarski(X29,X30),X32)
| esk36_3(X11,X12,X13) != k4_tarski(k4_tarski(X30,X31),X33)
| k1_funct_1(u5_cat_1(X13),k13_cat_2(X13,X13,esk36_3(X11,X12,X13),esk35_3(X11,X12,X13))) != k4_tarski(k4_tarski(X29,X31),k8_nattra_1(X11,X12,X29,X30,X31,X32,X33))
| m1_subset_1(esk34_3(X11,X12,X13),u2_cat_1(X13))
| k2_cat_1(X13,esk32_3(X11,X12,X13)) != k1_mcart_1(k1_mcart_1(esk32_3(X11,X12,X13)))
| k3_cat_1(X13,esk32_3(X11,X12,X13)) != k2_mcart_1(k1_mcart_1(esk32_3(X11,X12,X13)))
| u1_cat_1(X13) != k7_cat_2(X11,X12)
| u2_cat_1(X13) != k11_nattra_1(X11,X12)
| epred1_3(X13,X12,X11) )
& ( m1_subset_1(esk35_3(X11,X12,X13),u2_cat_1(X13))
| k2_cat_1(X13,esk34_3(X11,X12,X13)) = k3_cat_1(X13,esk33_3(X11,X12,X13))
| k2_cat_1(X13,esk32_3(X11,X12,X13)) != k1_mcart_1(k1_mcart_1(esk32_3(X11,X12,X13)))
| k3_cat_1(X13,esk32_3(X11,X12,X13)) != k2_mcart_1(k1_mcart_1(esk32_3(X11,X12,X13)))
| u1_cat_1(X13) != k7_cat_2(X11,X12)
| u2_cat_1(X13) != k11_nattra_1(X11,X12)
| epred1_3(X13,X12,X11) )
& ( m1_subset_1(esk36_3(X11,X12,X13),u2_cat_1(X13))
| k2_cat_1(X13,esk34_3(X11,X12,X13)) = k3_cat_1(X13,esk33_3(X11,X12,X13))
| k2_cat_1(X13,esk32_3(X11,X12,X13)) != k1_mcart_1(k1_mcart_1(esk32_3(X11,X12,X13)))
| k3_cat_1(X13,esk32_3(X11,X12,X13)) != k2_mcart_1(k1_mcart_1(esk32_3(X11,X12,X13)))
| u1_cat_1(X13) != k7_cat_2(X11,X12)
| u2_cat_1(X13) != k11_nattra_1(X11,X12)
| epred1_3(X13,X12,X11) )
& ( r2_hidden(k13_cat_2(X13,X13,esk36_3(X11,X12,X13),esk35_3(X11,X12,X13)),k1_relat_1(u5_cat_1(X13)))
| k2_cat_1(X13,esk34_3(X11,X12,X13)) = k3_cat_1(X13,esk33_3(X11,X12,X13))
| k2_cat_1(X13,esk32_3(X11,X12,X13)) != k1_mcart_1(k1_mcart_1(esk32_3(X11,X12,X13)))
| k3_cat_1(X13,esk32_3(X11,X12,X13)) != k2_mcart_1(k1_mcart_1(esk32_3(X11,X12,X13)))
| u1_cat_1(X13) != k7_cat_2(X11,X12)
| u2_cat_1(X13) != k11_nattra_1(X11,X12)
| epred1_3(X13,X12,X11) )
& ( ~ m2_cat_1(X29,X11,X12)
| ~ m2_cat_1(X30,X11,X12)
| ~ m2_cat_1(X31,X11,X12)
| ~ m2_nattra_1(X32,X11,X12,X29,X30)
| ~ m2_nattra_1(X33,X11,X12,X30,X31)
| esk35_3(X11,X12,X13) != k4_tarski(k4_tarski(X29,X30),X32)
| esk36_3(X11,X12,X13) != k4_tarski(k4_tarski(X30,X31),X33)
| k1_funct_1(u5_cat_1(X13),k13_cat_2(X13,X13,esk36_3(X11,X12,X13),esk35_3(X11,X12,X13))) != k4_tarski(k4_tarski(X29,X31),k8_nattra_1(X11,X12,X29,X30,X31,X32,X33))
| k2_cat_1(X13,esk34_3(X11,X12,X13)) = k3_cat_1(X13,esk33_3(X11,X12,X13))
| k2_cat_1(X13,esk32_3(X11,X12,X13)) != k1_mcart_1(k1_mcart_1(esk32_3(X11,X12,X13)))
| k3_cat_1(X13,esk32_3(X11,X12,X13)) != k2_mcart_1(k1_mcart_1(esk32_3(X11,X12,X13)))
| u1_cat_1(X13) != k7_cat_2(X11,X12)
| u2_cat_1(X13) != k11_nattra_1(X11,X12)
| epred1_3(X13,X12,X11) )
& ( m1_subset_1(esk35_3(X11,X12,X13),u2_cat_1(X13))
| ~ r2_hidden(k13_cat_2(X13,X13,esk34_3(X11,X12,X13),esk33_3(X11,X12,X13)),k1_relat_1(u5_cat_1(X13)))
| k2_cat_1(X13,esk32_3(X11,X12,X13)) != k1_mcart_1(k1_mcart_1(esk32_3(X11,X12,X13)))
| k3_cat_1(X13,esk32_3(X11,X12,X13)) != k2_mcart_1(k1_mcart_1(esk32_3(X11,X12,X13)))
| u1_cat_1(X13) != k7_cat_2(X11,X12)
| u2_cat_1(X13) != k11_nattra_1(X11,X12)
| epred1_3(X13,X12,X11) )
& ( m1_subset_1(esk36_3(X11,X12,X13),u2_cat_1(X13))
| ~ r2_hidden(k13_cat_2(X13,X13,esk34_3(X11,X12,X13),esk33_3(X11,X12,X13)),k1_relat_1(u5_cat_1(X13)))
| k2_cat_1(X13,esk32_3(X11,X12,X13)) != k1_mcart_1(k1_mcart_1(esk32_3(X11,X12,X13)))
| k3_cat_1(X13,esk32_3(X11,X12,X13)) != k2_mcart_1(k1_mcart_1(esk32_3(X11,X12,X13)))
| u1_cat_1(X13) != k7_cat_2(X11,X12)
| u2_cat_1(X13) != k11_nattra_1(X11,X12)
| epred1_3(X13,X12,X11) )
& ( r2_hidden(k13_cat_2(X13,X13,esk36_3(X11,X12,X13),esk35_3(X11,X12,X13)),k1_relat_1(u5_cat_1(X13)))
| ~ r2_hidden(k13_cat_2(X13,X13,esk34_3(X11,X12,X13),esk33_3(X11,X12,X13)),k1_relat_1(u5_cat_1(X13)))
| k2_cat_1(X13,esk32_3(X11,X12,X13)) != k1_mcart_1(k1_mcart_1(esk32_3(X11,X12,X13)))
| k3_cat_1(X13,esk32_3(X11,X12,X13)) != k2_mcart_1(k1_mcart_1(esk32_3(X11,X12,X13)))
| u1_cat_1(X13) != k7_cat_2(X11,X12)
| u2_cat_1(X13) != k11_nattra_1(X11,X12)
| epred1_3(X13,X12,X11) )
& ( ~ m2_cat_1(X29,X11,X12)
| ~ m2_cat_1(X30,X11,X12)
| ~ m2_cat_1(X31,X11,X12)
| ~ m2_nattra_1(X32,X11,X12,X29,X30)
| ~ m2_nattra_1(X33,X11,X12,X30,X31)
| esk35_3(X11,X12,X13) != k4_tarski(k4_tarski(X29,X30),X32)
| esk36_3(X11,X12,X13) != k4_tarski(k4_tarski(X30,X31),X33)
| k1_funct_1(u5_cat_1(X13),k13_cat_2(X13,X13,esk36_3(X11,X12,X13),esk35_3(X11,X12,X13))) != k4_tarski(k4_tarski(X29,X31),k8_nattra_1(X11,X12,X29,X30,X31,X32,X33))
| ~ r2_hidden(k13_cat_2(X13,X13,esk34_3(X11,X12,X13),esk33_3(X11,X12,X13)),k1_relat_1(u5_cat_1(X13)))
| k2_cat_1(X13,esk32_3(X11,X12,X13)) != k1_mcart_1(k1_mcart_1(esk32_3(X11,X12,X13)))
| k3_cat_1(X13,esk32_3(X11,X12,X13)) != k2_mcart_1(k1_mcart_1(esk32_3(X11,X12,X13)))
| u1_cat_1(X13) != k7_cat_2(X11,X12)
| u2_cat_1(X13) != k11_nattra_1(X11,X12)
| epred1_3(X13,X12,X11) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])])])]) ).
cnf(c_0_27,plain,
( epred1_3(X3,X2,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ v1_cat_1(X3)
| X3 != k12_nattra_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,plain,
( v2_cat_1(k12_nattra_1(X2,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,plain,
( l1_cat_1(k12_nattra_1(X2,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,plain,
( v1_cat_1(k12_nattra_1(X2,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31,plain,
( r2_hidden(X4,X3)
| X3 != k11_nattra_1(X1,X2)
| X4 != k2_tarski(k2_tarski(k2_tarski(k2_tarski(X5,X6),k1_tarski(X5)),X7),k1_tarski(k2_tarski(k2_tarski(X5,X6),k1_tarski(X5))))
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ m4_nattra_1(X3,X1,X2)
| ~ m2_cat_1(X6,X1,X2)
| ~ m2_cat_1(X5,X1,X2)
| ~ r2_nattra_1(X1,X2,X5,X6)
| ~ m2_nattra_1(X7,X1,X2,X5,X6) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23]),c_0_23]) ).
fof(c_0_32,plain,
! [X3,X4] :
( ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m1_subset_1(X4,u2_cat_1(X3))
| m2_nattra_1(k3_yoneda_1(X3,X4),X3,k1_yoneda_1(X3),k2_yoneda_1(X3,k3_cat_1(X3,X4)),k2_yoneda_1(X3,k2_cat_1(X3,X4))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_yoneda_1])]) ).
fof(c_0_33,plain,
! [X2] :
( ( v2_cat_1(k1_yoneda_1(X2))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) )
& ( l1_cat_1(k1_yoneda_1(X2))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_yoneda_1])])]) ).
fof(c_0_34,plain,
! [X3,X4] :
( ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m1_subset_1(X4,u2_cat_1(X3))
| r2_nattra_1(X3,k1_yoneda_1(X3),k2_yoneda_1(X3,k3_cat_1(X3,X4)),k2_yoneda_1(X3,k2_cat_1(X3,X4))) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_yoneda_1])])])])]) ).
cnf(c_0_35,negated_conjecture,
~ m1_subset_1(k2_tarski(k2_tarski(k2_tarski(k2_tarski(k2_yoneda_1(esk1_0,k3_cat_1(esk1_0,esk2_0)),k2_yoneda_1(esk1_0,k2_cat_1(esk1_0,esk2_0))),k1_tarski(k2_yoneda_1(esk1_0,k3_cat_1(esk1_0,esk2_0)))),k3_yoneda_1(esk1_0,esk2_0)),k1_tarski(k2_tarski(k2_tarski(k2_yoneda_1(esk1_0,k3_cat_1(esk1_0,esk2_0)),k2_yoneda_1(esk1_0,k2_cat_1(esk1_0,esk2_0))),k1_tarski(k2_yoneda_1(esk1_0,k3_cat_1(esk1_0,esk2_0)))))),u2_cat_1(k12_nattra_1(esk1_0,k1_yoneda_1(esk1_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_23]),c_0_23]) ).
cnf(c_0_36,plain,
k2_tarski(X1,X2) = k2_tarski(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_37,plain,
( u2_cat_1(X1) = k11_nattra_1(X3,X2)
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_38,plain,
( epred1_3(k12_nattra_1(X1,X2),X2,X1)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_27]),c_0_28]),c_0_29]),c_0_30]) ).
fof(c_0_39,plain,
! [X3,X4] :
( ~ r2_hidden(X3,X4)
| m1_subset_1(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_40,plain,
( r2_hidden(k2_tarski(k2_tarski(k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)),X3),k1_tarski(k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)))),X4)
| X4 != k11_nattra_1(X5,X6)
| ~ r2_nattra_1(X5,X6,X1,X2)
| ~ m2_nattra_1(X3,X5,X6,X1,X2)
| ~ m2_cat_1(X2,X5,X6)
| ~ m2_cat_1(X1,X5,X6)
| ~ m4_nattra_1(X4,X5,X6)
| ~ l1_cat_1(X6)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X6)
| ~ v2_cat_1(X5) ),
inference(er,[status(thm)],[c_0_31]) ).
cnf(c_0_41,plain,
( m2_nattra_1(k3_yoneda_1(X1,X2),X1,k1_yoneda_1(X1),k2_yoneda_1(X1,k3_cat_1(X1,X2)),k2_yoneda_1(X1,k2_cat_1(X1,X2)))
| ~ m1_subset_1(X2,u2_cat_1(X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_42,plain,
( v2_cat_1(k1_yoneda_1(X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_43,plain,
( l1_cat_1(k1_yoneda_1(X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_44,plain,
( r2_nattra_1(X1,k1_yoneda_1(X1),k2_yoneda_1(X1,k3_cat_1(X1,X2)),k2_yoneda_1(X1,k2_cat_1(X1,X2)))
| ~ m1_subset_1(X2,u2_cat_1(X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_45,negated_conjecture,
~ m1_subset_1(k2_tarski(k1_tarski(k2_tarski(k1_tarski(k2_yoneda_1(esk1_0,k3_cat_1(esk1_0,esk2_0))),k2_tarski(k2_yoneda_1(esk1_0,k3_cat_1(esk1_0,esk2_0)),k2_yoneda_1(esk1_0,k2_cat_1(esk1_0,esk2_0))))),k2_tarski(k3_yoneda_1(esk1_0,esk2_0),k2_tarski(k1_tarski(k2_yoneda_1(esk1_0,k3_cat_1(esk1_0,esk2_0))),k2_tarski(k2_yoneda_1(esk1_0,k3_cat_1(esk1_0,esk2_0)),k2_yoneda_1(esk1_0,k2_cat_1(esk1_0,esk2_0)))))),u2_cat_1(k12_nattra_1(esk1_0,k1_yoneda_1(esk1_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36]),c_0_36]),c_0_36]),c_0_36]) ).
cnf(c_0_46,plain,
( u2_cat_1(k12_nattra_1(X1,X2)) = k11_nattra_1(X1,X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_47,negated_conjecture,
l1_cat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_48,negated_conjecture,
v2_cat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_49,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_50,plain,
( r2_hidden(k2_tarski(k1_tarski(k2_tarski(k1_tarski(k2_yoneda_1(X1,k3_cat_1(X1,X2))),k2_tarski(k2_yoneda_1(X1,k3_cat_1(X1,X2)),k2_yoneda_1(X1,k2_cat_1(X1,X2))))),k2_tarski(k3_yoneda_1(X1,X2),k2_tarski(k1_tarski(k2_yoneda_1(X1,k3_cat_1(X1,X2))),k2_tarski(k2_yoneda_1(X1,k3_cat_1(X1,X2)),k2_yoneda_1(X1,k2_cat_1(X1,X2)))))),X3)
| X3 != k11_nattra_1(X1,k1_yoneda_1(X1))
| ~ m2_cat_1(k2_yoneda_1(X1,k2_cat_1(X1,X2)),X1,k1_yoneda_1(X1))
| ~ m2_cat_1(k2_yoneda_1(X1,k3_cat_1(X1,X2)),X1,k1_yoneda_1(X1))
| ~ m4_nattra_1(X3,X1,k1_yoneda_1(X1))
| ~ m1_subset_1(X2,u2_cat_1(X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_36]),c_0_36]),c_0_36]),c_0_36]),c_0_42]),c_0_43]),c_0_44]) ).
cnf(c_0_51,negated_conjecture,
( ~ m1_subset_1(k2_tarski(k1_tarski(k2_tarski(k1_tarski(k2_yoneda_1(esk1_0,k3_cat_1(esk1_0,esk2_0))),k2_tarski(k2_yoneda_1(esk1_0,k3_cat_1(esk1_0,esk2_0)),k2_yoneda_1(esk1_0,k2_cat_1(esk1_0,esk2_0))))),k2_tarski(k3_yoneda_1(esk1_0,esk2_0),k2_tarski(k1_tarski(k2_yoneda_1(esk1_0,k3_cat_1(esk1_0,esk2_0))),k2_tarski(k2_yoneda_1(esk1_0,k3_cat_1(esk1_0,esk2_0)),k2_yoneda_1(esk1_0,k2_cat_1(esk1_0,esk2_0)))))),k11_nattra_1(esk1_0,k1_yoneda_1(esk1_0)))
| ~ l1_cat_1(k1_yoneda_1(esk1_0))
| ~ v2_cat_1(k1_yoneda_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_48])]) ).
cnf(c_0_52,plain,
( m1_subset_1(k2_tarski(k1_tarski(k2_tarski(k1_tarski(k2_yoneda_1(X1,k3_cat_1(X1,X2))),k2_tarski(k2_yoneda_1(X1,k3_cat_1(X1,X2)),k2_yoneda_1(X1,k2_cat_1(X1,X2))))),k2_tarski(k3_yoneda_1(X1,X2),k2_tarski(k1_tarski(k2_yoneda_1(X1,k3_cat_1(X1,X2))),k2_tarski(k2_yoneda_1(X1,k3_cat_1(X1,X2)),k2_yoneda_1(X1,k2_cat_1(X1,X2)))))),X3)
| X3 != k11_nattra_1(X1,k1_yoneda_1(X1))
| ~ m2_cat_1(k2_yoneda_1(X1,k2_cat_1(X1,X2)),X1,k1_yoneda_1(X1))
| ~ m2_cat_1(k2_yoneda_1(X1,k3_cat_1(X1,X2)),X1,k1_yoneda_1(X1))
| ~ m4_nattra_1(X3,X1,k1_yoneda_1(X1))
| ~ m1_subset_1(X2,u2_cat_1(X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_53,negated_conjecture,
m1_subset_1(esk2_0,u2_cat_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_54,plain,
! [X3,X4] :
( ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4)
| m4_nattra_1(k11_nattra_1(X3,X4),X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k11_nattra_1])]) ).
cnf(c_0_55,negated_conjecture,
( ~ m2_cat_1(k2_yoneda_1(esk1_0,k2_cat_1(esk1_0,esk2_0)),esk1_0,k1_yoneda_1(esk1_0))
| ~ m2_cat_1(k2_yoneda_1(esk1_0,k3_cat_1(esk1_0,esk2_0)),esk1_0,k1_yoneda_1(esk1_0))
| ~ m4_nattra_1(k11_nattra_1(esk1_0,k1_yoneda_1(esk1_0)),esk1_0,k1_yoneda_1(esk1_0))
| ~ l1_cat_1(k1_yoneda_1(esk1_0))
| ~ v2_cat_1(k1_yoneda_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]),c_0_47]),c_0_48])]) ).
cnf(c_0_56,plain,
( m4_nattra_1(k11_nattra_1(X1,X2),X1,X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
fof(c_0_57,plain,
! [X3,X4] :
( ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m1_subset_1(X4,u1_cat_1(X3))
| m2_cat_1(k2_yoneda_1(X3,X4),X3,k1_yoneda_1(X3)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_yoneda_1])]) ).
cnf(c_0_58,negated_conjecture,
( ~ m2_cat_1(k2_yoneda_1(esk1_0,k2_cat_1(esk1_0,esk2_0)),esk1_0,k1_yoneda_1(esk1_0))
| ~ m2_cat_1(k2_yoneda_1(esk1_0,k3_cat_1(esk1_0,esk2_0)),esk1_0,k1_yoneda_1(esk1_0))
| ~ l1_cat_1(k1_yoneda_1(esk1_0))
| ~ v2_cat_1(k1_yoneda_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_47]),c_0_48])]) ).
cnf(c_0_59,plain,
( m2_cat_1(k2_yoneda_1(X1,X2),X1,k1_yoneda_1(X1))
| ~ m1_subset_1(X2,u1_cat_1(X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_60,negated_conjecture,
( ~ m2_cat_1(k2_yoneda_1(esk1_0,k3_cat_1(esk1_0,esk2_0)),esk1_0,k1_yoneda_1(esk1_0))
| ~ m1_subset_1(k2_cat_1(esk1_0,esk2_0),u1_cat_1(esk1_0))
| ~ l1_cat_1(k1_yoneda_1(esk1_0))
| ~ v2_cat_1(k1_yoneda_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_47]),c_0_48])]) ).
cnf(c_0_61,negated_conjecture,
( ~ m1_subset_1(k2_cat_1(esk1_0,esk2_0),u1_cat_1(esk1_0))
| ~ m1_subset_1(k3_cat_1(esk1_0,esk2_0),u1_cat_1(esk1_0))
| ~ l1_cat_1(k1_yoneda_1(esk1_0))
| ~ v2_cat_1(k1_yoneda_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_59]),c_0_47]),c_0_48])]) ).
fof(c_0_62,plain,
! [X3,X4] :
( ~ l1_cat_1(X3)
| ~ m1_subset_1(X4,u2_cat_1(X3))
| m1_subset_1(k2_cat_1(X3,X4),u1_cat_1(X3)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_cat_1])]) ).
cnf(c_0_63,negated_conjecture,
( ~ m1_subset_1(k2_cat_1(esk1_0,esk2_0),u1_cat_1(esk1_0))
| ~ m1_subset_1(k3_cat_1(esk1_0,esk2_0),u1_cat_1(esk1_0))
| ~ l1_cat_1(k1_yoneda_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_42]),c_0_47]),c_0_48])]) ).
cnf(c_0_64,plain,
( m1_subset_1(k2_cat_1(X1,X2),u1_cat_1(X1))
| ~ m1_subset_1(X2,u2_cat_1(X1))
| ~ l1_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_65,negated_conjecture,
( ~ m1_subset_1(k3_cat_1(esk1_0,esk2_0),u1_cat_1(esk1_0))
| ~ l1_cat_1(k1_yoneda_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_53]),c_0_47])]) ).
fof(c_0_66,plain,
! [X3,X4] :
( ~ l1_cat_1(X3)
| ~ m1_subset_1(X4,u2_cat_1(X3))
| m1_subset_1(k3_cat_1(X3,X4),u1_cat_1(X3)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_cat_1])]) ).
cnf(c_0_67,negated_conjecture,
~ m1_subset_1(k3_cat_1(esk1_0,esk2_0),u1_cat_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_43]),c_0_47]),c_0_48])]) ).
cnf(c_0_68,plain,
( m1_subset_1(k3_cat_1(X1,X2),u1_cat_1(X1))
| ~ m1_subset_1(X2,u2_cat_1(X1))
| ~ l1_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_69,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_53]),c_0_47])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CAT034+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun May 29 17:14:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.25/2.44 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/2.44 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/2.44 # Preprocessing time : 0.018 s
% 0.25/2.44
% 0.25/2.44 # Failure: Out of unprocessed clauses!
% 0.25/2.44 # OLD status GaveUp
% 0.25/2.44 # Parsed axioms : 96
% 0.25/2.44 # Removed by relevancy pruning/SinE : 80
% 0.25/2.44 # Initial clauses : 22
% 0.25/2.44 # Removed in clause preprocessing : 0
% 0.25/2.44 # Initial clauses in saturation : 22
% 0.25/2.44 # Processed clauses : 23
% 0.25/2.44 # ...of these trivial : 0
% 0.25/2.44 # ...subsumed : 0
% 0.25/2.44 # ...remaining for further processing : 23
% 0.25/2.44 # Other redundant clauses eliminated : 0
% 0.25/2.44 # Clauses deleted for lack of memory : 0
% 0.25/2.44 # Backward-subsumed : 0
% 0.25/2.44 # Backward-rewritten : 0
% 0.25/2.44 # Generated clauses : 1
% 0.25/2.44 # ...of the previous two non-trivial : 1
% 0.25/2.44 # Contextual simplify-reflections : 0
% 0.25/2.44 # Paramodulations : 1
% 0.25/2.44 # Factorizations : 0
% 0.25/2.44 # Equation resolutions : 0
% 0.25/2.44 # Current number of processed clauses : 23
% 0.25/2.44 # Positive orientable unit clauses : 6
% 0.25/2.44 # Positive unorientable unit clauses: 0
% 0.25/2.44 # Negative unit clauses : 2
% 0.25/2.44 # Non-unit-clauses : 15
% 0.25/2.44 # Current number of unprocessed clauses: 0
% 0.25/2.44 # ...number of literals in the above : 0
% 0.25/2.44 # Current number of archived formulas : 0
% 0.25/2.44 # Current number of archived clauses : 0
% 0.25/2.44 # Clause-clause subsumption calls (NU) : 26
% 0.25/2.44 # Rec. Clause-clause subsumption calls : 10
% 0.25/2.44 # Non-unit clause-clause subsumptions : 0
% 0.25/2.44 # Unit Clause-clause subsumption calls : 0
% 0.25/2.44 # Rewrite failures with RHS unbound : 0
% 0.25/2.44 # BW rewrite match attempts : 0
% 0.25/2.44 # BW rewrite match successes : 0
% 0.25/2.44 # Condensation attempts : 0
% 0.25/2.44 # Condensation successes : 0
% 0.25/2.44 # Termbank termtop insertions : 2929
% 0.25/2.44
% 0.25/2.44 # -------------------------------------------------
% 0.25/2.44 # User time : 0.018 s
% 0.25/2.44 # System time : 0.001 s
% 0.25/2.44 # Total time : 0.019 s
% 0.25/2.44 # Maximum resident set size: 3196 pages
% 0.25/2.44 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.25/2.44 # Preprocessing time : 0.054 s
% 0.25/2.44
% 0.25/2.44 # Proof found!
% 0.25/2.44 # SZS status Theorem
% 0.25/2.44 # SZS output start CNFRefutation
% See solution above
% 0.25/2.44 # Proof object total steps : 70
% 0.25/2.44 # Proof object clause steps : 38
% 0.25/2.44 # Proof object formula steps : 32
% 0.25/2.44 # Proof object conjectures : 18
% 0.25/2.44 # Proof object clause conjectures : 15
% 0.25/2.44 # Proof object formula conjectures : 3
% 0.25/2.44 # Proof object initial clauses used : 21
% 0.25/2.44 # Proof object initial formulas used : 14
% 0.25/2.44 # Proof object generating inferences : 14
% 0.25/2.44 # Proof object simplifying inferences : 46
% 0.25/2.44 # Training examples: 0 positive, 0 negative
% 0.25/2.44 # Parsed axioms : 96
% 0.25/2.44 # Removed by relevancy pruning/SinE : 0
% 0.25/2.44 # Initial clauses : 194
% 0.25/2.44 # Removed in clause preprocessing : 19
% 0.25/2.44 # Initial clauses in saturation : 175
% 0.25/2.44 # Processed clauses : 3646
% 0.25/2.44 # ...of these trivial : 6
% 0.25/2.44 # ...subsumed : 2461
% 0.25/2.44 # ...remaining for further processing : 1179
% 0.25/2.44 # Other redundant clauses eliminated : 4
% 0.25/2.44 # Clauses deleted for lack of memory : 0
% 0.25/2.44 # Backward-subsumed : 100
% 0.25/2.44 # Backward-rewritten : 8
% 0.25/2.44 # Generated clauses : 14911
% 0.25/2.44 # ...of the previous two non-trivial : 14067
% 0.25/2.44 # Contextual simplify-reflections : 2462
% 0.25/2.44 # Paramodulations : 14863
% 0.25/2.44 # Factorizations : 12
% 0.25/2.44 # Equation resolutions : 36
% 0.25/2.44 # Current number of processed clauses : 1070
% 0.25/2.44 # Positive orientable unit clauses : 27
% 0.25/2.44 # Positive unorientable unit clauses: 1
% 0.25/2.44 # Negative unit clauses : 6
% 0.25/2.44 # Non-unit-clauses : 1036
% 0.25/2.44 # Current number of unprocessed clauses: 9848
% 0.25/2.44 # ...number of literals in the above : 122396
% 0.25/2.44 # Current number of archived formulas : 0
% 0.25/2.44 # Current number of archived clauses : 109
% 0.25/2.44 # Clause-clause subsumption calls (NU) : 2439544
% 0.25/2.44 # Rec. Clause-clause subsumption calls : 427093
% 0.25/2.44 # Non-unit clause-clause subsumptions : 4846
% 0.25/2.44 # Unit Clause-clause subsumption calls : 1890
% 0.25/2.44 # Rewrite failures with RHS unbound : 0
% 0.25/2.44 # BW rewrite match attempts : 13
% 0.25/2.44 # BW rewrite match successes : 13
% 0.25/2.44 # Condensation attempts : 0
% 0.25/2.44 # Condensation successes : 0
% 0.25/2.44 # Termbank termtop insertions : 771663
% 0.25/2.44
% 0.25/2.44 # -------------------------------------------------
% 0.25/2.44 # User time : 1.060 s
% 0.25/2.44 # System time : 0.010 s
% 0.25/2.44 # Total time : 1.070 s
% 0.25/2.44 # Maximum resident set size: 18792 pages
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