%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : CAT031+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n027.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 : 300s
% DateTime : Tue May 5 04:11:47 PM UTC 2026
% Result : Theorem 6.86s 4.59s
% Output : CNFRefutation 6.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 15
% Syntax : Number of formulae : 111 ( 26 unt; 0 def)
% Number of atoms : 839 ( 35 equ)
% Maximal formula atoms : 27 ( 7 avg)
% Number of connectives : 1246 ( 518 ~; 542 |; 112 &)
% ( 1 <=>; 73 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-5 aty)
% Number of functors : 22 ( 22 usr; 10 con; 0-9 aty)
% Number of variables : 370 ( 0 sgn 180 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t45_isocat_2,conjecture,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( ( v2_cat_1(X3)
& l1_cat_1(X3) )
=> ! [X4] :
( m2_cat_1(X4,X1,X2)
=> ! [X5] :
( m2_cat_1(X5,X1,X2)
=> ! [X6] :
( m2_cat_1(X6,X1,X3)
=> ! [X7] :
( m2_cat_1(X7,X1,X3)
=> ( ( r1_nattra_1(X1,X2,X4,X5)
& r1_nattra_1(X1,X3,X6,X7) )
=> ! [X8] :
( m1_nattra_1(X8,X1,X2,X4,X5)
=> ! [X9] :
( m1_nattra_1(X9,X1,X3,X6,X7)
=> ! [X10] :
( m1_subset_1(X10,u1_cat_1(X1))
=> k5_nattra_1(X1,k11_cat_2(X2,X3),k10_isocat_2(X1,X2,X3,X4,X6),k10_isocat_2(X1,X2,X3,X5,X7),k15_isocat_2(X1,X2,X3,X4,X5,X6,X7,X8,X9),X10) = k13_cat_2(X2,X3,k5_nattra_1(X1,X2,X4,X5,X8,X10),k5_nattra_1(X1,X3,X6,X7,X9,X10)) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_isocat_2) ).
fof(d5_nattra_1,axiom,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X1,X2)
=> ! [X4] :
( m2_cat_1(X4,X1,X2)
=> ( r1_nattra_1(X1,X2,X3,X4)
=> ! [X5] :
( m1_nattra_1(X5,X1,X2,X3,X4)
=> ! [X6] :
( m1_subset_1(X6,u1_cat_1(X1))
=> k5_nattra_1(X1,X2,X3,X4,X5,X6) = k8_funct_2(u1_cat_1(X1),u2_cat_1(X2),X5,X6) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_nattra_1) ).
fof(dt_k15_isocat_2,axiom,
! [X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2)
& v2_cat_1(X3)
& l1_cat_1(X3)
& m2_cat_1(X4,X1,X2)
& m2_cat_1(X5,X1,X2)
& m2_cat_1(X6,X1,X3)
& m2_cat_1(X7,X1,X3)
& m1_nattra_1(X8,X1,X2,X4,X5)
& m1_nattra_1(X9,X1,X3,X6,X7) )
=> m1_nattra_1(k15_isocat_2(X1,X2,X3,X4,X5,X6,X7,X8,X9),X1,k11_cat_2(X2,X3),k10_isocat_2(X1,X2,X3,X4,X6),k10_isocat_2(X1,X2,X3,X5,X7)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k15_isocat_2) ).
fof(redefinition_k8_funct_2,axiom,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).
fof(dt_m1_nattra_1,axiom,
! [X1,X2,X3,X4] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2)
& m2_cat_1(X3,X1,X2)
& m2_cat_1(X4,X1,X2) )
=> ! [X5] :
( m1_nattra_1(X5,X1,X2,X3,X4)
=> ( v1_funct_1(X5)
& v1_funct_2(X5,u1_cat_1(X1),u2_cat_1(X2))
& m2_relset_1(X5,u1_cat_1(X1),u2_cat_1(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_nattra_1) ).
fof(dt_k11_cat_2,axiom,
! [X1,X2] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2) )
=> ( v2_cat_1(k11_cat_2(X1,X2))
& l1_cat_1(k11_cat_2(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_cat_2) ).
fof(dt_k10_isocat_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2)
& v2_cat_1(X3)
& l1_cat_1(X3)
& m2_cat_1(X4,X1,X2)
& m2_cat_1(X5,X1,X3) )
=> m2_cat_1(k10_isocat_2(X1,X2,X3,X4,X5),X1,k11_cat_2(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k10_isocat_2) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(t44_isocat_2,axiom,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( ( v2_cat_1(X3)
& l1_cat_1(X3) )
=> ! [X4] :
( m2_cat_1(X4,X1,X2)
=> ! [X5] :
( m2_cat_1(X5,X1,X2)
=> ! [X6] :
( m2_cat_1(X6,X1,X3)
=> ! [X7] :
( m2_cat_1(X7,X1,X3)
=> ( ( r1_nattra_1(X1,X2,X4,X5)
& r1_nattra_1(X1,X3,X6,X7) )
=> r1_nattra_1(X1,k11_cat_2(X2,X3),k10_isocat_2(X1,X2,X3,X4,X6),k10_isocat_2(X1,X2,X3,X5,X7)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_isocat_2) ).
fof(redefinition_k14_funct_3,axiom,
! [X1,X2,X3,X4,X5] :
( ( ~ v1_xboole_0(X2)
& ~ v1_xboole_0(X3)
& v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m1_relset_1(X4,X1,X2)
& v1_funct_1(X5)
& v1_funct_2(X5,X1,X3)
& m1_relset_1(X5,X1,X3) )
=> k14_funct_3(X1,X2,X3,X4,X5) = k13_funct_3(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k14_funct_3) ).
fof(dt_u2_cat_1,axiom,
! [X1] :
( l1_cat_1(X1)
=> ~ v1_xboole_0(u2_cat_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u2_cat_1) ).
fof(dt_k14_funct_3,axiom,
! [X1,X2,X3,X4,X5] :
( ( ~ v1_xboole_0(X2)
& ~ v1_xboole_0(X3)
& v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m1_relset_1(X4,X1,X2)
& v1_funct_1(X5)
& v1_funct_2(X5,X1,X3)
& m1_relset_1(X5,X1,X3) )
=> ( v1_funct_1(k14_funct_3(X1,X2,X3,X4,X5))
& v1_funct_2(k14_funct_3(X1,X2,X3,X4,X5),X1,k2_zfmisc_1(X2,X3))
& m2_relset_1(k14_funct_3(X1,X2,X3,X4,X5),X1,k2_zfmisc_1(X2,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k14_funct_3) ).
fof(l54_isocat_2,axiom,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( ( v2_cat_1(X3)
& l1_cat_1(X3) )
=> ! [X4] :
( m2_cat_1(X4,X1,X2)
=> ! [X5] :
( m2_cat_1(X5,X1,X2)
=> ! [X6] :
( m2_cat_1(X6,X1,X3)
=> ! [X7] :
( m2_cat_1(X7,X1,X3)
=> ( ( r1_nattra_1(X1,X2,X4,X5)
& r1_nattra_1(X1,X3,X6,X7) )
=> ! [X8] :
( m1_nattra_1(X8,X1,X2,X4,X5)
=> ! [X9] :
( m1_nattra_1(X9,X1,X3,X6,X7)
=> ! [X10] :
( m1_subset_1(X10,u1_cat_1(X1))
=> k8_funct_2(u1_cat_1(X1),k2_zfmisc_1(u2_cat_1(X2),u2_cat_1(X3)),k14_funct_3(u1_cat_1(X1),u2_cat_1(X2),u2_cat_1(X3),X8,X9),X10) = k13_cat_2(X2,X3,k5_nattra_1(X1,X2,X4,X5,X8,X10),k5_nattra_1(X1,X3,X6,X7,X9,X10)) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l54_isocat_2) ).
fof(d11_isocat_2,axiom,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( ( v2_cat_1(X3)
& l1_cat_1(X3) )
=> ! [X4] :
( m2_cat_1(X4,X1,X2)
=> ! [X5] :
( m2_cat_1(X5,X1,X2)
=> ! [X6] :
( m2_cat_1(X6,X1,X3)
=> ! [X7] :
( m2_cat_1(X7,X1,X3)
=> ( ( r1_nattra_1(X1,X2,X4,X5)
& r1_nattra_1(X1,X3,X6,X7) )
=> ! [X8] :
( m1_nattra_1(X8,X1,X2,X4,X5)
=> ! [X9] :
( m1_nattra_1(X9,X1,X3,X6,X7)
=> k15_isocat_2(X1,X2,X3,X4,X5,X6,X7,X8,X9) = k14_funct_3(u1_cat_1(X1),u2_cat_1(X2),u2_cat_1(X3),X8,X9) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_isocat_2) ).
fof(dt_u1_cat_1,axiom,
! [X1] :
( l1_cat_1(X1)
=> ~ v1_xboole_0(u1_cat_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_cat_1) ).
fof(c_0_15,negated_conjecture,
~ ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( ( v2_cat_1(X3)
& l1_cat_1(X3) )
=> ! [X4] :
( m2_cat_1(X4,X1,X2)
=> ! [X5] :
( m2_cat_1(X5,X1,X2)
=> ! [X6] :
( m2_cat_1(X6,X1,X3)
=> ! [X7] :
( m2_cat_1(X7,X1,X3)
=> ( ( r1_nattra_1(X1,X2,X4,X5)
& r1_nattra_1(X1,X3,X6,X7) )
=> ! [X8] :
( m1_nattra_1(X8,X1,X2,X4,X5)
=> ! [X9] :
( m1_nattra_1(X9,X1,X3,X6,X7)
=> ! [X10] :
( m1_subset_1(X10,u1_cat_1(X1))
=> k5_nattra_1(X1,k11_cat_2(X2,X3),k10_isocat_2(X1,X2,X3,X4,X6),k10_isocat_2(X1,X2,X3,X5,X7),k15_isocat_2(X1,X2,X3,X4,X5,X6,X7,X8,X9),X10) = k13_cat_2(X2,X3,k5_nattra_1(X1,X2,X4,X5,X8,X10),k5_nattra_1(X1,X3,X6,X7,X9,X10)) ) ) ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t45_isocat_2]) ).
fof(c_0_16,negated_conjecture,
( v2_cat_1(esk1_0)
& l1_cat_1(esk1_0)
& v2_cat_1(esk2_0)
& l1_cat_1(esk2_0)
& v2_cat_1(esk3_0)
& l1_cat_1(esk3_0)
& m2_cat_1(esk4_0,esk1_0,esk2_0)
& m2_cat_1(esk5_0,esk1_0,esk2_0)
& m2_cat_1(esk6_0,esk1_0,esk3_0)
& m2_cat_1(esk7_0,esk1_0,esk3_0)
& r1_nattra_1(esk1_0,esk2_0,esk4_0,esk5_0)
& r1_nattra_1(esk1_0,esk3_0,esk6_0,esk7_0)
& m1_nattra_1(esk8_0,esk1_0,esk2_0,esk4_0,esk5_0)
& m1_nattra_1(esk9_0,esk1_0,esk3_0,esk6_0,esk7_0)
& m1_subset_1(esk10_0,u1_cat_1(esk1_0))
& k5_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0),k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0),esk10_0) != k13_cat_2(esk2_0,esk3_0,k5_nattra_1(esk1_0,esk2_0,esk4_0,esk5_0,esk8_0,esk10_0),k5_nattra_1(esk1_0,esk3_0,esk6_0,esk7_0,esk9_0,esk10_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
fof(c_0_17,plain,
! [X223,X224,X225,X226,X227,X228] :
( ~ v2_cat_1(X223)
| ~ l1_cat_1(X223)
| ~ v2_cat_1(X224)
| ~ l1_cat_1(X224)
| ~ m2_cat_1(X225,X223,X224)
| ~ m2_cat_1(X226,X223,X224)
| ~ r1_nattra_1(X223,X224,X225,X226)
| ~ m1_nattra_1(X227,X223,X224,X225,X226)
| ~ m1_subset_1(X228,u1_cat_1(X223))
| k5_nattra_1(X223,X224,X225,X226,X227,X228) = k8_funct_2(u1_cat_1(X223),u2_cat_1(X224),X227,X228) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_nattra_1])])]) ).
cnf(c_0_18,negated_conjecture,
k5_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0),k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0),esk10_0) != k13_cat_2(esk2_0,esk3_0,k5_nattra_1(esk1_0,esk2_0,esk4_0,esk5_0,esk8_0,esk10_0),k5_nattra_1(esk1_0,esk3_0,esk6_0,esk7_0,esk9_0,esk10_0)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,plain,
( k5_nattra_1(X1,X2,X3,X4,X5,X6) = k8_funct_2(u1_cat_1(X1),u2_cat_1(X2),X5,X6)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X1,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ r1_nattra_1(X1,X2,X3,X4)
| ~ m1_nattra_1(X5,X1,X2,X3,X4)
| ~ m1_subset_1(X6,u1_cat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_20,negated_conjecture,
m1_subset_1(esk10_0,u1_cat_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,negated_conjecture,
l1_cat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,negated_conjecture,
v2_cat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_23,plain,
! [X253,X254,X255,X256,X257,X258,X259,X260,X261] :
( ~ v2_cat_1(X253)
| ~ l1_cat_1(X253)
| ~ v2_cat_1(X254)
| ~ l1_cat_1(X254)
| ~ v2_cat_1(X255)
| ~ l1_cat_1(X255)
| ~ m2_cat_1(X256,X253,X254)
| ~ m2_cat_1(X257,X253,X254)
| ~ m2_cat_1(X258,X253,X255)
| ~ m2_cat_1(X259,X253,X255)
| ~ m1_nattra_1(X260,X253,X254,X256,X257)
| ~ m1_nattra_1(X261,X253,X255,X258,X259)
| m1_nattra_1(k15_isocat_2(X253,X254,X255,X256,X257,X258,X259,X260,X261),X253,k11_cat_2(X254,X255),k10_isocat_2(X253,X254,X255,X256,X258),k10_isocat_2(X253,X254,X255,X257,X259)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k15_isocat_2])]) ).
fof(c_0_24,plain,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4) ),
inference(fof_simplification,[status(thm)],[redefinition_k8_funct_2]) ).
cnf(c_0_25,negated_conjecture,
( k8_funct_2(u1_cat_1(esk1_0),u2_cat_1(k11_cat_2(esk2_0,esk3_0)),k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0),esk10_0) != k13_cat_2(esk2_0,esk3_0,k5_nattra_1(esk1_0,esk2_0,esk4_0,esk5_0,esk8_0,esk10_0),k5_nattra_1(esk1_0,esk3_0,esk6_0,esk7_0,esk9_0,esk10_0))
| ~ m1_nattra_1(k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0),esk1_0,k11_cat_2(esk2_0,esk3_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0))
| ~ r1_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21]),c_0_22])]) ).
cnf(c_0_26,plain,
( m1_nattra_1(k15_isocat_2(X1,X2,X3,X4,X5,X6,X7,X8,X9),X1,k11_cat_2(X2,X3),k10_isocat_2(X1,X2,X3,X4,X6),k10_isocat_2(X1,X2,X3,X5,X7))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X6,X1,X3)
| ~ m2_cat_1(X7,X1,X3)
| ~ m1_nattra_1(X8,X1,X2,X4,X5)
| ~ m1_nattra_1(X9,X1,X3,X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_27,negated_conjecture,
m1_nattra_1(esk9_0,esk1_0,esk3_0,esk6_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_28,negated_conjecture,
m1_nattra_1(esk8_0,esk1_0,esk2_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_29,negated_conjecture,
m2_cat_1(esk7_0,esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_30,negated_conjecture,
m2_cat_1(esk6_0,esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_31,negated_conjecture,
m2_cat_1(esk5_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_32,negated_conjecture,
m2_cat_1(esk4_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_33,negated_conjecture,
l1_cat_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_34,negated_conjecture,
l1_cat_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_35,negated_conjecture,
v2_cat_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_36,negated_conjecture,
v2_cat_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_37,plain,
! [X346,X347,X348,X349] :
( v1_xboole_0(X346)
| ~ v1_funct_1(X348)
| ~ v1_funct_2(X348,X346,X347)
| ~ m1_relset_1(X348,X346,X347)
| ~ m1_subset_1(X349,X346)
| k8_funct_2(X346,X347,X348,X349) = k1_funct_1(X348,X349) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])]) ).
fof(c_0_38,plain,
! [X276,X277,X278,X279,X280] :
( ( v1_funct_1(X280)
| ~ m1_nattra_1(X280,X276,X277,X278,X279)
| ~ v2_cat_1(X276)
| ~ l1_cat_1(X276)
| ~ v2_cat_1(X277)
| ~ l1_cat_1(X277)
| ~ m2_cat_1(X278,X276,X277)
| ~ m2_cat_1(X279,X276,X277) )
& ( v1_funct_2(X280,u1_cat_1(X276),u2_cat_1(X277))
| ~ m1_nattra_1(X280,X276,X277,X278,X279)
| ~ v2_cat_1(X276)
| ~ l1_cat_1(X276)
| ~ v2_cat_1(X277)
| ~ l1_cat_1(X277)
| ~ m2_cat_1(X278,X276,X277)
| ~ m2_cat_1(X279,X276,X277) )
& ( m2_relset_1(X280,u1_cat_1(X276),u2_cat_1(X277))
| ~ m1_nattra_1(X280,X276,X277,X278,X279)
| ~ v2_cat_1(X276)
| ~ l1_cat_1(X276)
| ~ v2_cat_1(X277)
| ~ l1_cat_1(X277)
| ~ m2_cat_1(X278,X276,X277)
| ~ m2_cat_1(X279,X276,X277) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_nattra_1])])])]) ).
fof(c_0_39,plain,
! [X236,X237] :
( ( v2_cat_1(k11_cat_2(X236,X237))
| ~ v2_cat_1(X236)
| ~ l1_cat_1(X236)
| ~ v2_cat_1(X237)
| ~ l1_cat_1(X237) )
& ( l1_cat_1(k11_cat_2(X236,X237))
| ~ v2_cat_1(X236)
| ~ l1_cat_1(X236)
| ~ v2_cat_1(X237)
| ~ l1_cat_1(X237) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k11_cat_2])])]) ).
fof(c_0_40,plain,
! [X231,X232,X233,X234,X235] :
( ~ v2_cat_1(X231)
| ~ l1_cat_1(X231)
| ~ v2_cat_1(X232)
| ~ l1_cat_1(X232)
| ~ v2_cat_1(X233)
| ~ l1_cat_1(X233)
| ~ m2_cat_1(X234,X231,X232)
| ~ m2_cat_1(X235,X231,X233)
| m2_cat_1(k10_isocat_2(X231,X232,X233,X234,X235),X231,k11_cat_2(X232,X233)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k10_isocat_2])]) ).
cnf(c_0_41,negated_conjecture,
( k8_funct_2(u1_cat_1(esk1_0),u2_cat_1(k11_cat_2(esk2_0,esk3_0)),k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0),esk10_0) != k13_cat_2(esk2_0,esk3_0,k5_nattra_1(esk1_0,esk2_0,esk4_0,esk5_0,esk8_0,esk10_0),k5_nattra_1(esk1_0,esk3_0,esk6_0,esk7_0,esk9_0,esk10_0))
| ~ r1_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_21]),c_0_35]),c_0_36]),c_0_22])]) ).
cnf(c_0_42,plain,
( v1_xboole_0(X1)
| k8_funct_2(X1,X3,X2,X4) = k1_funct_1(X2,X4)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X1,X3)
| ~ m1_relset_1(X2,X1,X3)
| ~ m1_subset_1(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_43,plain,
( v1_funct_2(X1,u1_cat_1(X2),u2_cat_1(X3))
| ~ m1_nattra_1(X1,X2,X3,X4,X5)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X2,X3)
| ~ m2_cat_1(X5,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_44,plain,
( v2_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_45,plain,
( l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_46,plain,
( m2_cat_1(k10_isocat_2(X1,X2,X3,X4,X5),X1,k11_cat_2(X2,X3))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X5,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_47,plain,
! [X350,X351,X352] :
( ( ~ m2_relset_1(X352,X350,X351)
| m1_relset_1(X352,X350,X351) )
& ( ~ m1_relset_1(X352,X350,X351)
| m2_relset_1(X352,X350,X351) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
cnf(c_0_48,plain,
( m2_relset_1(X1,u1_cat_1(X2),u2_cat_1(X3))
| ~ m1_nattra_1(X1,X2,X3,X4,X5)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X2,X3)
| ~ m2_cat_1(X5,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_49,negated_conjecture,
( v1_xboole_0(u1_cat_1(esk1_0))
| k13_cat_2(esk2_0,esk3_0,k5_nattra_1(esk1_0,esk2_0,esk4_0,esk5_0,esk8_0,esk10_0),k5_nattra_1(esk1_0,esk3_0,esk6_0,esk7_0,esk9_0,esk10_0)) != k1_funct_1(k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0),esk10_0)
| ~ m1_relset_1(k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0),u1_cat_1(esk1_0),u2_cat_1(k11_cat_2(esk2_0,esk3_0)))
| ~ v1_funct_2(k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0),u1_cat_1(esk1_0),u2_cat_1(k11_cat_2(esk2_0,esk3_0)))
| ~ v1_funct_1(k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0))
| ~ r1_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_20])]) ).
cnf(c_0_50,plain,
( v1_funct_2(k15_isocat_2(X1,X2,X3,X4,X5,X6,X7,X8,X9),u1_cat_1(X1),u2_cat_1(k11_cat_2(X2,X3)))
| ~ m1_nattra_1(X9,X1,X3,X6,X7)
| ~ m1_nattra_1(X8,X1,X2,X4,X5)
| ~ m2_cat_1(X7,X1,X3)
| ~ m2_cat_1(X6,X1,X3)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_26]),c_0_44]),c_0_45]),c_0_46]),c_0_46]) ).
cnf(c_0_51,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_52,plain,
( m2_relset_1(k15_isocat_2(X1,X2,X3,X4,X5,X6,X7,X8,X9),u1_cat_1(X1),u2_cat_1(k11_cat_2(X2,X3)))
| ~ m1_nattra_1(X9,X1,X3,X6,X7)
| ~ m1_nattra_1(X8,X1,X2,X4,X5)
| ~ m2_cat_1(X7,X1,X3)
| ~ m2_cat_1(X6,X1,X3)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_26]),c_0_44]),c_0_45]),c_0_46]),c_0_46]) ).
cnf(c_0_53,negated_conjecture,
( v1_xboole_0(u1_cat_1(esk1_0))
| k13_cat_2(esk2_0,esk3_0,k5_nattra_1(esk1_0,esk2_0,esk4_0,esk5_0,esk8_0,esk10_0),k5_nattra_1(esk1_0,esk3_0,esk6_0,esk7_0,esk9_0,esk10_0)) != k1_funct_1(k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0),esk10_0)
| ~ m1_relset_1(k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0),u1_cat_1(esk1_0),u2_cat_1(k11_cat_2(esk2_0,esk3_0)))
| ~ v1_funct_1(k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0))
| ~ r1_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_21]),c_0_33]),c_0_34]),c_0_22]),c_0_35]),c_0_36])]) ).
cnf(c_0_54,plain,
( m1_relset_1(k15_isocat_2(X1,X2,X3,X4,X5,X6,X7,X8,X9),u1_cat_1(X1),u2_cat_1(k11_cat_2(X2,X3)))
| ~ m1_nattra_1(X9,X1,X3,X6,X7)
| ~ m1_nattra_1(X8,X1,X2,X4,X5)
| ~ m2_cat_1(X7,X1,X3)
| ~ m2_cat_1(X6,X1,X3)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_55,plain,
! [X364,X365,X366,X367,X368,X369,X370] :
( ~ v2_cat_1(X364)
| ~ l1_cat_1(X364)
| ~ v2_cat_1(X365)
| ~ l1_cat_1(X365)
| ~ v2_cat_1(X366)
| ~ l1_cat_1(X366)
| ~ m2_cat_1(X367,X364,X365)
| ~ m2_cat_1(X368,X364,X365)
| ~ m2_cat_1(X369,X364,X366)
| ~ m2_cat_1(X370,X364,X366)
| ~ r1_nattra_1(X364,X365,X367,X368)
| ~ r1_nattra_1(X364,X366,X369,X370)
| r1_nattra_1(X364,k11_cat_2(X365,X366),k10_isocat_2(X364,X365,X366,X367,X369),k10_isocat_2(X364,X365,X366,X368,X370)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t44_isocat_2])])]) ).
fof(c_0_56,plain,
! [X1,X2,X3,X4,X5] :
( ( ~ v1_xboole_0(X2)
& ~ v1_xboole_0(X3)
& v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m1_relset_1(X4,X1,X2)
& v1_funct_1(X5)
& v1_funct_2(X5,X1,X3)
& m1_relset_1(X5,X1,X3) )
=> k14_funct_3(X1,X2,X3,X4,X5) = k13_funct_3(X4,X5) ),
inference(fof_simplification,[status(thm)],[redefinition_k14_funct_3]) ).
fof(c_0_57,plain,
! [X1] :
( l1_cat_1(X1)
=> ~ v1_xboole_0(u2_cat_1(X1)) ),
inference(fof_simplification,[status(thm)],[dt_u2_cat_1]) ).
fof(c_0_58,plain,
! [X1,X2,X3,X4,X5] :
( ( ~ v1_xboole_0(X2)
& ~ v1_xboole_0(X3)
& v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m1_relset_1(X4,X1,X2)
& v1_funct_1(X5)
& v1_funct_2(X5,X1,X3)
& m1_relset_1(X5,X1,X3) )
=> ( v1_funct_1(k14_funct_3(X1,X2,X3,X4,X5))
& v1_funct_2(k14_funct_3(X1,X2,X3,X4,X5),X1,k2_zfmisc_1(X2,X3))
& m2_relset_1(k14_funct_3(X1,X2,X3,X4,X5),X1,k2_zfmisc_1(X2,X3)) ) ),
inference(fof_simplification,[status(thm)],[dt_k14_funct_3]) ).
cnf(c_0_59,negated_conjecture,
( v1_xboole_0(u1_cat_1(esk1_0))
| k13_cat_2(esk2_0,esk3_0,k5_nattra_1(esk1_0,esk2_0,esk4_0,esk5_0,esk8_0,esk10_0),k5_nattra_1(esk1_0,esk3_0,esk6_0,esk7_0,esk9_0,esk10_0)) != k1_funct_1(k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0),esk10_0)
| ~ v1_funct_1(k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0))
| ~ r1_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_21]),c_0_33]),c_0_34]),c_0_22]),c_0_35]),c_0_36])]) ).
cnf(c_0_60,plain,
( r1_nattra_1(X1,k11_cat_2(X2,X3),k10_isocat_2(X1,X2,X3,X4,X6),k10_isocat_2(X1,X2,X3,X5,X7))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X6,X1,X3)
| ~ m2_cat_1(X7,X1,X3)
| ~ r1_nattra_1(X1,X2,X4,X5)
| ~ r1_nattra_1(X1,X3,X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_61,negated_conjecture,
r1_nattra_1(esk1_0,esk3_0,esk6_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_62,negated_conjecture,
r1_nattra_1(esk1_0,esk2_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_63,plain,
! [X316,X317,X318,X319,X320,X321,X322,X323,X324,X325] :
( ~ v2_cat_1(X316)
| ~ l1_cat_1(X316)
| ~ v2_cat_1(X317)
| ~ l1_cat_1(X317)
| ~ v2_cat_1(X318)
| ~ l1_cat_1(X318)
| ~ m2_cat_1(X319,X316,X317)
| ~ m2_cat_1(X320,X316,X317)
| ~ m2_cat_1(X321,X316,X318)
| ~ m2_cat_1(X322,X316,X318)
| ~ r1_nattra_1(X316,X317,X319,X320)
| ~ r1_nattra_1(X316,X318,X321,X322)
| ~ m1_nattra_1(X323,X316,X317,X319,X320)
| ~ m1_nattra_1(X324,X316,X318,X321,X322)
| ~ m1_subset_1(X325,u1_cat_1(X316))
| k8_funct_2(u1_cat_1(X316),k2_zfmisc_1(u2_cat_1(X317),u2_cat_1(X318)),k14_funct_3(u1_cat_1(X316),u2_cat_1(X317),u2_cat_1(X318),X323,X324),X325) = k13_cat_2(X317,X318,k5_nattra_1(X316,X317,X319,X320,X323,X325),k5_nattra_1(X316,X318,X321,X322,X324,X325)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l54_isocat_2])])]) ).
fof(c_0_64,plain,
! [X341,X342,X343,X344,X345] :
( v1_xboole_0(X342)
| v1_xboole_0(X343)
| ~ v1_funct_1(X344)
| ~ v1_funct_2(X344,X341,X342)
| ~ m1_relset_1(X344,X341,X342)
| ~ v1_funct_1(X345)
| ~ v1_funct_2(X345,X341,X343)
| ~ m1_relset_1(X345,X341,X343)
| k14_funct_3(X341,X342,X343,X344,X345) = k13_funct_3(X344,X345) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])]) ).
fof(c_0_65,plain,
! [X288] :
( ~ l1_cat_1(X288)
| ~ v1_xboole_0(u2_cat_1(X288)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])]) ).
fof(c_0_66,plain,
! [X248,X249,X250,X251,X252] :
( ( v1_funct_1(k14_funct_3(X248,X249,X250,X251,X252))
| v1_xboole_0(X249)
| v1_xboole_0(X250)
| ~ v1_funct_1(X251)
| ~ v1_funct_2(X251,X248,X249)
| ~ m1_relset_1(X251,X248,X249)
| ~ v1_funct_1(X252)
| ~ v1_funct_2(X252,X248,X250)
| ~ m1_relset_1(X252,X248,X250) )
& ( v1_funct_2(k14_funct_3(X248,X249,X250,X251,X252),X248,k2_zfmisc_1(X249,X250))
| v1_xboole_0(X249)
| v1_xboole_0(X250)
| ~ v1_funct_1(X251)
| ~ v1_funct_2(X251,X248,X249)
| ~ m1_relset_1(X251,X248,X249)
| ~ v1_funct_1(X252)
| ~ v1_funct_2(X252,X248,X250)
| ~ m1_relset_1(X252,X248,X250) )
& ( m2_relset_1(k14_funct_3(X248,X249,X250,X251,X252),X248,k2_zfmisc_1(X249,X250))
| v1_xboole_0(X249)
| v1_xboole_0(X250)
| ~ v1_funct_1(X251)
| ~ v1_funct_2(X251,X248,X249)
| ~ m1_relset_1(X251,X248,X249)
| ~ v1_funct_1(X252)
| ~ v1_funct_2(X252,X248,X250)
| ~ m1_relset_1(X252,X248,X250) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])]) ).
cnf(c_0_67,negated_conjecture,
( v1_xboole_0(u1_cat_1(esk1_0))
| k13_cat_2(esk2_0,esk3_0,k5_nattra_1(esk1_0,esk2_0,esk4_0,esk5_0,esk8_0,esk10_0),k5_nattra_1(esk1_0,esk3_0,esk6_0,esk7_0,esk9_0,esk10_0)) != k1_funct_1(k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0),esk10_0)
| ~ v1_funct_1(k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]),c_0_62]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_21]),c_0_35]),c_0_36]),c_0_22])]) ).
cnf(c_0_68,plain,
( k5_nattra_1(X1,X2,X3,X4,X5,X6) = k5_nattra_1(X1,X2,X7,X8,X5,X6)
| ~ m1_subset_1(X6,u1_cat_1(X1))
| ~ m1_nattra_1(X5,X1,X2,X3,X4)
| ~ m1_nattra_1(X5,X1,X2,X7,X8)
| ~ r1_nattra_1(X1,X2,X3,X4)
| ~ r1_nattra_1(X1,X2,X7,X8)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X3,X1,X2)
| ~ m2_cat_1(X8,X1,X2)
| ~ m2_cat_1(X7,X1,X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_19]) ).
cnf(c_0_69,plain,
( k8_funct_2(u1_cat_1(X1),k2_zfmisc_1(u2_cat_1(X2),u2_cat_1(X3)),k14_funct_3(u1_cat_1(X1),u2_cat_1(X2),u2_cat_1(X3),X8,X9),X10) = k13_cat_2(X2,X3,k5_nattra_1(X1,X2,X4,X5,X8,X10),k5_nattra_1(X1,X3,X6,X7,X9,X10))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X6,X1,X3)
| ~ m2_cat_1(X7,X1,X3)
| ~ r1_nattra_1(X1,X2,X4,X5)
| ~ r1_nattra_1(X1,X3,X6,X7)
| ~ m1_nattra_1(X8,X1,X2,X4,X5)
| ~ m1_nattra_1(X9,X1,X3,X6,X7)
| ~ m1_subset_1(X10,u1_cat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_70,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| k14_funct_3(X4,X1,X2,X3,X5) = k13_funct_3(X3,X5)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X4,X1)
| ~ m1_relset_1(X3,X4,X1)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,X4,X2)
| ~ m1_relset_1(X5,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_71,plain,
( v1_funct_1(X1)
| ~ m1_nattra_1(X1,X2,X3,X4,X5)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X2,X3)
| ~ m2_cat_1(X5,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_72,plain,
( ~ l1_cat_1(X1)
| ~ v1_xboole_0(u2_cat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_73,negated_conjecture,
m2_relset_1(esk9_0,u1_cat_1(esk1_0),u2_cat_1(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_27]),c_0_29]),c_0_30]),c_0_33]),c_0_21]),c_0_35]),c_0_22])]) ).
cnf(c_0_74,negated_conjecture,
m2_relset_1(esk8_0,u1_cat_1(esk1_0),u2_cat_1(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_28]),c_0_31]),c_0_32]),c_0_34]),c_0_21]),c_0_36]),c_0_22])]) ).
cnf(c_0_75,plain,
( v1_funct_1(k14_funct_3(X1,X2,X3,X4,X5))
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,X1,X3)
| ~ m1_relset_1(X5,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_76,negated_conjecture,
( v1_xboole_0(u1_cat_1(esk1_0))
| k13_cat_2(esk2_0,esk3_0,k5_nattra_1(esk1_0,esk2_0,esk4_0,esk5_0,esk8_0,esk10_0),k5_nattra_1(esk1_0,esk3_0,X1,X2,esk9_0,esk10_0)) != k1_funct_1(k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0),esk10_0)
| ~ v1_funct_1(k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0))
| ~ m1_nattra_1(esk9_0,esk1_0,esk3_0,X1,X2)
| ~ r1_nattra_1(esk1_0,esk3_0,X1,X2)
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(X2,esk1_0,esk3_0)
| ~ m2_cat_1(X1,esk1_0,esk3_0)
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_20]),c_0_27]),c_0_61]),c_0_29]),c_0_30]),c_0_33]),c_0_21]),c_0_35]),c_0_22])]) ).
cnf(c_0_77,plain,
( k8_funct_2(u1_cat_1(X1),k2_zfmisc_1(u2_cat_1(X2),u2_cat_1(X3)),k13_funct_3(X4,X5),X6) = k13_cat_2(X2,X3,k5_nattra_1(X1,X2,X7,X8,X4,X6),k5_nattra_1(X1,X3,X9,X10,X5,X6))
| ~ m1_relset_1(X5,u1_cat_1(X1),u2_cat_1(X3))
| ~ m1_relset_1(X4,u1_cat_1(X1),u2_cat_1(X2))
| ~ m1_subset_1(X6,u1_cat_1(X1))
| ~ m1_nattra_1(X5,X1,X3,X9,X10)
| ~ m1_nattra_1(X4,X1,X2,X7,X8)
| ~ r1_nattra_1(X1,X3,X9,X10)
| ~ r1_nattra_1(X1,X2,X7,X8)
| ~ m2_cat_1(X10,X1,X3)
| ~ m2_cat_1(X9,X1,X3)
| ~ m2_cat_1(X8,X1,X2)
| ~ m2_cat_1(X7,X1,X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]),c_0_71]),c_0_43]),c_0_43]),c_0_72]),c_0_72]) ).
cnf(c_0_78,negated_conjecture,
m1_relset_1(esk9_0,u1_cat_1(esk1_0),u2_cat_1(esk3_0)),
inference(spm,[status(thm)],[c_0_51,c_0_73]) ).
cnf(c_0_79,negated_conjecture,
m1_relset_1(esk8_0,u1_cat_1(esk1_0),u2_cat_1(esk2_0)),
inference(spm,[status(thm)],[c_0_51,c_0_74]) ).
cnf(c_0_80,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| v1_funct_1(k13_funct_3(X3,X4))
| ~ m1_relset_1(X4,X5,X1)
| ~ m1_relset_1(X3,X5,X2)
| ~ v1_funct_2(X4,X5,X1)
| ~ v1_funct_2(X3,X5,X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3) ),
inference(spm,[status(thm)],[c_0_75,c_0_70]) ).
cnf(c_0_81,negated_conjecture,
v1_funct_2(esk9_0,u1_cat_1(esk1_0),u2_cat_1(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_27]),c_0_29]),c_0_30]),c_0_33]),c_0_21]),c_0_35]),c_0_22])]) ).
cnf(c_0_82,negated_conjecture,
v1_funct_1(esk9_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_27]),c_0_29]),c_0_30]),c_0_33]),c_0_21]),c_0_35]),c_0_22])]) ).
cnf(c_0_83,negated_conjecture,
( v1_xboole_0(u1_cat_1(esk1_0))
| k8_funct_2(u1_cat_1(esk1_0),k2_zfmisc_1(u2_cat_1(esk2_0),u2_cat_1(esk3_0)),k13_funct_3(esk8_0,esk9_0),esk10_0) != k1_funct_1(k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0),esk10_0)
| ~ v1_funct_1(k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0))
| ~ m1_nattra_1(esk9_0,esk1_0,esk3_0,X1,X2)
| ~ r1_nattra_1(esk1_0,esk3_0,X1,X2)
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(X2,esk1_0,esk3_0)
| ~ m2_cat_1(X1,esk1_0,esk3_0)
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]),c_0_79]),c_0_20]),c_0_28]),c_0_62]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_21]),c_0_35]),c_0_36]),c_0_22])]) ).
cnf(c_0_84,plain,
( v1_funct_2(k14_funct_3(X1,X2,X3,X4,X5),X1,k2_zfmisc_1(X2,X3))
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,X1,X3)
| ~ m1_relset_1(X5,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_85,negated_conjecture,
( v1_xboole_0(u2_cat_1(esk3_0))
| v1_xboole_0(X1)
| v1_funct_1(k13_funct_3(X2,esk9_0))
| ~ m1_relset_1(X2,u1_cat_1(esk1_0),X1)
| ~ v1_funct_2(X2,u1_cat_1(esk1_0),X1)
| ~ v1_funct_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_78]),c_0_82])]) ).
cnf(c_0_86,negated_conjecture,
v1_funct_2(esk8_0,u1_cat_1(esk1_0),u2_cat_1(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_28]),c_0_31]),c_0_32]),c_0_34]),c_0_21]),c_0_36]),c_0_22])]) ).
cnf(c_0_87,negated_conjecture,
v1_funct_1(esk8_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_28]),c_0_31]),c_0_32]),c_0_34]),c_0_21]),c_0_36]),c_0_22])]) ).
cnf(c_0_88,plain,
( m2_relset_1(k14_funct_3(X1,X2,X3,X4,X5),X1,k2_zfmisc_1(X2,X3))
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,X1,X3)
| ~ m1_relset_1(X5,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_89,negated_conjecture,
( v1_xboole_0(u1_cat_1(esk1_0))
| k1_funct_1(k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0),esk10_0) != k1_funct_1(k13_funct_3(esk8_0,esk9_0),esk10_0)
| ~ m1_relset_1(k13_funct_3(esk8_0,esk9_0),u1_cat_1(esk1_0),k2_zfmisc_1(u2_cat_1(esk2_0),u2_cat_1(esk3_0)))
| ~ v1_funct_2(k13_funct_3(esk8_0,esk9_0),u1_cat_1(esk1_0),k2_zfmisc_1(u2_cat_1(esk2_0),u2_cat_1(esk3_0)))
| ~ v1_funct_1(k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0))
| ~ v1_funct_1(k13_funct_3(esk8_0,esk9_0))
| ~ m1_nattra_1(esk9_0,esk1_0,esk3_0,X1,X2)
| ~ r1_nattra_1(esk1_0,esk3_0,X1,X2)
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(X2,esk1_0,esk3_0)
| ~ m2_cat_1(X1,esk1_0,esk3_0)
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_42]),c_0_20])]) ).
cnf(c_0_90,plain,
( v1_funct_2(k13_funct_3(X1,X2),X3,k2_zfmisc_1(X4,X5))
| v1_xboole_0(X5)
| v1_xboole_0(X4)
| ~ m1_relset_1(X2,X3,X5)
| ~ m1_relset_1(X1,X3,X4)
| ~ v1_funct_2(X2,X3,X5)
| ~ v1_funct_2(X1,X3,X4)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_70]) ).
cnf(c_0_91,negated_conjecture,
( v1_xboole_0(u2_cat_1(esk2_0))
| v1_xboole_0(u2_cat_1(esk3_0))
| v1_funct_1(k13_funct_3(esk8_0,esk9_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_79]),c_0_87])]) ).
cnf(c_0_92,plain,
( m1_relset_1(k14_funct_3(X1,X2,X3,X4,X5),X1,k2_zfmisc_1(X2,X3))
| v1_xboole_0(X3)
| v1_xboole_0(X2)
| ~ m1_relset_1(X5,X1,X3)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X5,X1,X3)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4) ),
inference(spm,[status(thm)],[c_0_51,c_0_88]) ).
fof(c_0_93,plain,
! [X214,X215,X216,X217,X218,X219,X220,X221,X222] :
( ~ v2_cat_1(X214)
| ~ l1_cat_1(X214)
| ~ v2_cat_1(X215)
| ~ l1_cat_1(X215)
| ~ v2_cat_1(X216)
| ~ l1_cat_1(X216)
| ~ m2_cat_1(X217,X214,X215)
| ~ m2_cat_1(X218,X214,X215)
| ~ m2_cat_1(X219,X214,X216)
| ~ m2_cat_1(X220,X214,X216)
| ~ r1_nattra_1(X214,X215,X217,X218)
| ~ r1_nattra_1(X214,X216,X219,X220)
| ~ m1_nattra_1(X221,X214,X215,X217,X218)
| ~ m1_nattra_1(X222,X214,X216,X219,X220)
| k15_isocat_2(X214,X215,X216,X217,X218,X219,X220,X221,X222) = k14_funct_3(u1_cat_1(X214),u2_cat_1(X215),u2_cat_1(X216),X221,X222) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d11_isocat_2])])]) ).
cnf(c_0_94,negated_conjecture,
( v1_xboole_0(u2_cat_1(esk2_0))
| v1_xboole_0(u2_cat_1(esk3_0))
| v1_xboole_0(u1_cat_1(esk1_0))
| k1_funct_1(k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0),esk10_0) != k1_funct_1(k13_funct_3(esk8_0,esk9_0),esk10_0)
| ~ m1_relset_1(k13_funct_3(esk8_0,esk9_0),u1_cat_1(esk1_0),k2_zfmisc_1(u2_cat_1(esk2_0),u2_cat_1(esk3_0)))
| ~ v1_funct_1(k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0))
| ~ m1_nattra_1(esk9_0,esk1_0,esk3_0,X1,X2)
| ~ r1_nattra_1(esk1_0,esk3_0,X1,X2)
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(X2,esk1_0,esk3_0)
| ~ m2_cat_1(X1,esk1_0,esk3_0)
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_78]),c_0_79]),c_0_81]),c_0_86]),c_0_82]),c_0_87])]),c_0_91]) ).
cnf(c_0_95,plain,
( m1_relset_1(k13_funct_3(X1,X2),X3,k2_zfmisc_1(X4,X5))
| v1_xboole_0(X4)
| v1_xboole_0(X5)
| ~ m1_relset_1(X2,X3,X5)
| ~ m1_relset_1(X1,X3,X4)
| ~ v1_funct_2(X2,X3,X5)
| ~ v1_funct_2(X1,X3,X4)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_70]) ).
cnf(c_0_96,plain,
( k15_isocat_2(X1,X2,X3,X4,X5,X6,X7,X8,X9) = k14_funct_3(u1_cat_1(X1),u2_cat_1(X2),u2_cat_1(X3),X8,X9)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X6,X1,X3)
| ~ m2_cat_1(X7,X1,X3)
| ~ r1_nattra_1(X1,X2,X4,X5)
| ~ r1_nattra_1(X1,X3,X6,X7)
| ~ m1_nattra_1(X8,X1,X2,X4,X5)
| ~ m1_nattra_1(X9,X1,X3,X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_97,negated_conjecture,
( v1_xboole_0(u1_cat_1(esk1_0))
| v1_xboole_0(u2_cat_1(esk3_0))
| v1_xboole_0(u2_cat_1(esk2_0))
| k1_funct_1(k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0),esk10_0) != k1_funct_1(k13_funct_3(esk8_0,esk9_0),esk10_0)
| ~ v1_funct_1(k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0))
| ~ m1_nattra_1(esk9_0,esk1_0,esk3_0,X1,X2)
| ~ r1_nattra_1(esk1_0,esk3_0,X1,X2)
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(X2,esk1_0,esk3_0)
| ~ m2_cat_1(X1,esk1_0,esk3_0)
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_78]),c_0_79]),c_0_81]),c_0_86]),c_0_82]),c_0_87])]) ).
cnf(c_0_98,plain,
( k15_isocat_2(X1,X2,X3,X4,X5,X6,X7,X8,X9) = k13_funct_3(X8,X9)
| ~ m1_relset_1(X9,u1_cat_1(X1),u2_cat_1(X3))
| ~ m1_relset_1(X8,u1_cat_1(X1),u2_cat_1(X2))
| ~ m1_nattra_1(X9,X1,X3,X6,X7)
| ~ m1_nattra_1(X8,X1,X2,X4,X5)
| ~ r1_nattra_1(X1,X3,X6,X7)
| ~ r1_nattra_1(X1,X2,X4,X5)
| ~ m2_cat_1(X7,X1,X3)
| ~ m2_cat_1(X6,X1,X3)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_96]),c_0_71]),c_0_71]),c_0_43]),c_0_43]),c_0_72]),c_0_72]) ).
cnf(c_0_99,negated_conjecture,
( v1_xboole_0(u2_cat_1(esk2_0))
| v1_xboole_0(u2_cat_1(esk3_0))
| v1_xboole_0(u1_cat_1(esk1_0))
| ~ m1_nattra_1(esk9_0,esk1_0,esk3_0,X1,X2)
| ~ r1_nattra_1(esk1_0,esk3_0,X1,X2)
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(X2,esk1_0,esk3_0)
| ~ m2_cat_1(X1,esk1_0,esk3_0)
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_78]),c_0_79]),c_0_27]),c_0_28]),c_0_61]),c_0_62]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_21]),c_0_35]),c_0_36]),c_0_22])]),c_0_91]) ).
cnf(c_0_100,negated_conjecture,
( v1_xboole_0(u1_cat_1(esk1_0))
| v1_xboole_0(u2_cat_1(esk3_0))
| v1_xboole_0(u2_cat_1(esk2_0))
| ~ m1_nattra_1(esk9_0,esk1_0,esk3_0,X1,X2)
| ~ r1_nattra_1(esk1_0,esk3_0,X1,X2)
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(X2,esk1_0,esk3_0)
| ~ m2_cat_1(X1,esk1_0,esk3_0)
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_46]),c_0_29]),c_0_31]),c_0_33]),c_0_34]),c_0_21]),c_0_35]),c_0_36]),c_0_22])]) ).
cnf(c_0_101,negated_conjecture,
( v1_xboole_0(u2_cat_1(esk2_0))
| v1_xboole_0(u2_cat_1(esk3_0))
| v1_xboole_0(u1_cat_1(esk1_0))
| ~ m1_nattra_1(esk9_0,esk1_0,esk3_0,X1,X2)
| ~ r1_nattra_1(esk1_0,esk3_0,X1,X2)
| ~ m2_cat_1(X2,esk1_0,esk3_0)
| ~ m2_cat_1(X1,esk1_0,esk3_0)
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_46]),c_0_30]),c_0_32]),c_0_33]),c_0_34]),c_0_21]),c_0_35]),c_0_36]),c_0_22])]) ).
fof(c_0_102,plain,
! [X1] :
( l1_cat_1(X1)
=> ~ v1_xboole_0(u1_cat_1(X1)) ),
inference(fof_simplification,[status(thm)],[dt_u1_cat_1]) ).
cnf(c_0_103,negated_conjecture,
( v1_xboole_0(u1_cat_1(esk1_0))
| v1_xboole_0(u2_cat_1(esk3_0))
| v1_xboole_0(u2_cat_1(esk2_0))
| ~ m1_nattra_1(esk9_0,esk1_0,esk3_0,X1,X2)
| ~ r1_nattra_1(esk1_0,esk3_0,X1,X2)
| ~ m2_cat_1(X2,esk1_0,esk3_0)
| ~ m2_cat_1(X1,esk1_0,esk3_0)
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_44]),c_0_33]),c_0_34]),c_0_35]),c_0_36])]) ).
fof(c_0_104,plain,
! [X287] :
( ~ l1_cat_1(X287)
| ~ v1_xboole_0(u1_cat_1(X287)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_102])]) ).
cnf(c_0_105,negated_conjecture,
( v1_xboole_0(u2_cat_1(esk2_0))
| v1_xboole_0(u2_cat_1(esk3_0))
| v1_xboole_0(u1_cat_1(esk1_0))
| ~ m1_nattra_1(esk9_0,esk1_0,esk3_0,X1,X2)
| ~ r1_nattra_1(esk1_0,esk3_0,X1,X2)
| ~ m2_cat_1(X2,esk1_0,esk3_0)
| ~ m2_cat_1(X1,esk1_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_45]),c_0_33]),c_0_34]),c_0_35]),c_0_36])]) ).
cnf(c_0_106,plain,
( ~ l1_cat_1(X1)
| ~ v1_xboole_0(u1_cat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_107,negated_conjecture,
( v1_xboole_0(u1_cat_1(esk1_0))
| v1_xboole_0(u2_cat_1(esk3_0))
| v1_xboole_0(u2_cat_1(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_61]),c_0_27]),c_0_29]),c_0_30])]) ).
cnf(c_0_108,negated_conjecture,
( v1_xboole_0(u2_cat_1(esk2_0))
| v1_xboole_0(u2_cat_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_21])]) ).
cnf(c_0_109,negated_conjecture,
v1_xboole_0(u2_cat_1(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_108]),c_0_33])]) ).
cnf(c_0_110,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_109]),c_0_34])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CAT031+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n027.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 10:50:49 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 6.86/4.59 % Version : CSE_E---1.7
% 6.86/4.59 % Problem : theBenchmark.p
% 6.86/4.59 % SZS status Theorem for theBenchmark.p
% 6.86/4.59 % SZS output start CNFRefutation
% See solution above
% 6.95/4.61 % Total time : 3.373s
%------------------------------------------------------------------------------