TSTP Solution File: CAT027+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : CAT027+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n032.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 23:59:48 EDT 2022
% Result : Theorem 0.21s 1.39s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 23
% Syntax : Number of formulae : 123 ( 9 unt; 0 def)
% Number of atoms : 943 ( 20 equ)
% Maximal formula atoms : 24 ( 7 avg)
% Number of connectives : 1476 ( 656 ~; 647 |; 119 &)
% ( 2 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-6 aty)
% Number of functors : 17 ( 17 usr; 4 con; 0-7 aty)
% Number of variables : 398 ( 4 sgn 189 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_m1_nattra_1) ).
fof(dt_m2_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] :
( m2_nattra_1(X5,X1,X2,X3,X4)
=> m1_nattra_1(X5,X1,X2,X3,X4) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_m2_nattra_1) ).
fof(redefinition_r4_nattra_1,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2)
& ~ v1_xboole_0(X3)
& ~ v1_xboole_0(X4)
& v1_funct_1(X5)
& v1_funct_2(X5,X1,X2)
& m1_relset_1(X5,X1,X2)
& v1_funct_1(X6)
& v1_funct_2(X6,X3,X4)
& m1_relset_1(X6,X3,X4) )
=> ( r4_nattra_1(X1,X2,X3,X4,X5,X6)
<=> X5 = X6 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_r4_nattra_1) ).
fof(t38_isocat_1,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,X2,X3)
=> r4_nattra_1(u1_cat_1(X1),u2_cat_1(X3),u1_cat_1(X1),u2_cat_1(X3),k6_isocat_1(X1,X2,X3,X4,X4,k7_nattra_1(X1,X2,X4),X5),k7_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X5))) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t38_isocat_1) ).
fof(dt_u2_cat_1,axiom,
! [X1] :
( l1_cat_1(X1)
=> ~ v1_xboole_0(u2_cat_1(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_u2_cat_1) ).
fof(dt_u1_cat_1,axiom,
! [X1] :
( l1_cat_1(X1)
=> ~ v1_xboole_0(u1_cat_1(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_u1_cat_1) ).
fof(dt_k6_isocat_1,axiom,
! [X1,X2,X3,X4,X5,X6,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_nattra_1(X6,X1,X2,X4,X5)
& m2_cat_1(X7,X2,X3) )
=> m2_nattra_1(k6_isocat_1(X1,X2,X3,X4,X5,X6,X7),X1,X3,k2_isocat_1(X1,X2,X3,X4,X7),k2_isocat_1(X1,X2,X3,X5,X7)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k6_isocat_1) ).
fof(dt_k2_isocat_1,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,X2,X3) )
=> m2_cat_1(k2_isocat_1(X1,X2,X3,X4,X5),X1,X3) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k2_isocat_1) ).
fof(t40_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,k11_cat_2(X2,X3))
=> ( r4_nattra_1(u1_cat_1(X1),u2_cat_1(X2),u1_cat_1(X1),u2_cat_1(X2),k7_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4)),k13_isocat_2(X1,X2,X3,X4,X4,k7_nattra_1(X1,k11_cat_2(X2,X3),X4)))
& r4_nattra_1(u1_cat_1(X1),u2_cat_1(X3),u1_cat_1(X1),u2_cat_1(X3),k7_nattra_1(X1,X3,k12_isocat_2(X1,X2,X3,X4)),k14_isocat_2(X1,X2,X3,X4,X4,k7_nattra_1(X1,k11_cat_2(X2,X3),X4))) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t40_isocat_2) ).
fof(dt_k7_nattra_1,axiom,
! [X1,X2,X3] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2)
& m2_cat_1(X3,X1,X2) )
=> m2_nattra_1(k7_nattra_1(X1,X2,X3),X1,X2,X3,X3) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k7_nattra_1) ).
fof(d10_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,k11_cat_2(X2,X3))
=> ! [X5] :
( m2_cat_1(X5,X1,k11_cat_2(X2,X3))
=> ! [X6] :
( m2_nattra_1(X6,X1,k11_cat_2(X2,X3),X4,X5)
=> k14_isocat_2(X1,X2,X3,X4,X5,X6) = k6_isocat_1(X1,k11_cat_2(X2,X3),X3,X4,X5,X6,k9_isocat_2(X2,X3)) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d10_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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_m2_relset_1) ).
fof(d9_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,k11_cat_2(X2,X3))
=> ! [X5] :
( m2_cat_1(X5,X1,k11_cat_2(X2,X3))
=> ! [X6] :
( m2_nattra_1(X6,X1,k11_cat_2(X2,X3),X4,X5)
=> k13_isocat_2(X1,X2,X3,X4,X5,X6) = k6_isocat_1(X1,k11_cat_2(X2,X3),X2,X4,X5,X6,k8_isocat_2(X2,X3)) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d9_isocat_2) ).
fof(d8_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,k11_cat_2(X2,X3))
=> k12_isocat_2(X1,X2,X3,X4) = k2_isocat_1(X1,k11_cat_2(X2,X3),X3,X4,k9_isocat_2(X2,X3)) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d8_isocat_2) ).
fof(dt_k9_isocat_2,axiom,
! [X1,X2] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2) )
=> m2_cat_1(k9_isocat_2(X1,X2),k11_cat_2(X1,X2),X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k9_isocat_2) ).
fof(reflexivity_r4_nattra_1,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2)
& ~ v1_xboole_0(X3)
& ~ v1_xboole_0(X4)
& v1_funct_1(X5)
& v1_funct_2(X5,X1,X2)
& m1_relset_1(X5,X1,X2)
& v1_funct_1(X6)
& v1_funct_2(X6,X3,X4)
& m1_relset_1(X6,X3,X4) )
=> r4_nattra_1(X1,X2,X3,X4,X5,X5) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',reflexivity_r4_nattra_1) ).
fof(d7_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,k11_cat_2(X2,X3))
=> k11_isocat_2(X1,X2,X3,X4) = k2_isocat_1(X1,k11_cat_2(X2,X3),X2,X4,k8_isocat_2(X2,X3)) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d7_isocat_2) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k11_cat_2) ).
fof(existence_m2_cat_1,axiom,
! [X1,X2] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2) )
=> ? [X3] : m2_cat_1(X3,X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',existence_m2_cat_1) ).
fof(dt_k8_isocat_2,axiom,
! [X1,X2] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2) )
=> m2_cat_1(k8_isocat_2(X1,X2),k11_cat_2(X1,X2),X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k8_isocat_2) ).
fof(symmetry_r4_nattra_1,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2)
& ~ v1_xboole_0(X3)
& ~ v1_xboole_0(X4)
& v1_funct_1(X5)
& v1_funct_2(X5,X1,X2)
& m1_relset_1(X5,X1,X2)
& v1_funct_1(X6)
& v1_funct_2(X6,X3,X4)
& m1_relset_1(X6,X3,X4) )
=> ( r4_nattra_1(X1,X2,X3,X4,X5,X6)
=> r4_nattra_1(X1,X2,X3,X4,X6,X5) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',symmetry_r4_nattra_1) ).
fof(dt_k12_isocat_2,axiom,
! [X1,X2,X3,X4] :
( ( 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,k11_cat_2(X2,X3)) )
=> m2_cat_1(k12_isocat_2(X1,X2,X3,X4),X1,X3) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k12_isocat_2) ).
fof(dt_k11_isocat_2,axiom,
! [X1,X2,X3,X4] :
( ( 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,k11_cat_2(X2,X3)) )
=> m2_cat_1(k11_isocat_2(X1,X2,X3,X4),X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k11_isocat_2) ).
fof(c_0_23,plain,
! [X6,X7,X8,X9,X10] :
( ( v1_funct_1(X10)
| ~ m1_nattra_1(X10,X6,X7,X8,X9)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X7)
| ~ m2_cat_1(X8,X6,X7)
| ~ m2_cat_1(X9,X6,X7) )
& ( v1_funct_2(X10,u1_cat_1(X6),u2_cat_1(X7))
| ~ m1_nattra_1(X10,X6,X7,X8,X9)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X7)
| ~ m2_cat_1(X8,X6,X7)
| ~ m2_cat_1(X9,X6,X7) )
& ( m2_relset_1(X10,u1_cat_1(X6),u2_cat_1(X7))
| ~ m1_nattra_1(X10,X6,X7,X8,X9)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X7)
| ~ m2_cat_1(X8,X6,X7)
| ~ m2_cat_1(X9,X6,X7) ) ),
inference(distribute,[status(thm)],[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)],[dt_m1_nattra_1])])])])])]) ).
fof(c_0_24,plain,
! [X6,X7,X8,X9,X10] :
( ~ v2_cat_1(X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X7)
| ~ m2_cat_1(X8,X6,X7)
| ~ m2_cat_1(X9,X6,X7)
| ~ m2_nattra_1(X10,X6,X7,X8,X9)
| m1_nattra_1(X10,X6,X7,X8,X9) ),
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)],[dt_m2_nattra_1])])])])]) ).
fof(c_0_25,plain,
! [X7,X8,X9,X10,X11,X12] :
( ( ~ r4_nattra_1(X7,X8,X9,X10,X11,X12)
| X11 = X12
| v1_xboole_0(X7)
| v1_xboole_0(X8)
| v1_xboole_0(X9)
| v1_xboole_0(X10)
| ~ v1_funct_1(X11)
| ~ v1_funct_2(X11,X7,X8)
| ~ m1_relset_1(X11,X7,X8)
| ~ v1_funct_1(X12)
| ~ v1_funct_2(X12,X9,X10)
| ~ m1_relset_1(X12,X9,X10) )
& ( X11 != X12
| r4_nattra_1(X7,X8,X9,X10,X11,X12)
| v1_xboole_0(X7)
| v1_xboole_0(X8)
| v1_xboole_0(X9)
| v1_xboole_0(X10)
| ~ v1_funct_1(X11)
| ~ v1_funct_2(X11,X7,X8)
| ~ m1_relset_1(X11,X7,X8)
| ~ v1_funct_1(X12)
| ~ v1_funct_2(X12,X9,X10)
| ~ m1_relset_1(X12,X9,X10) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_r4_nattra_1])])])]) ).
fof(c_0_26,plain,
! [X6,X7,X8,X9,X10] :
( ~ v2_cat_1(X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X8)
| ~ l1_cat_1(X8)
| ~ m2_cat_1(X9,X6,X7)
| ~ m2_cat_1(X10,X7,X8)
| r4_nattra_1(u1_cat_1(X6),u2_cat_1(X8),u1_cat_1(X6),u2_cat_1(X8),k6_isocat_1(X6,X7,X8,X9,X9,k7_nattra_1(X6,X7,X9),X10),k7_nattra_1(X6,X8,k2_isocat_1(X6,X7,X8,X9,X10))) ),
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)],[t38_isocat_1])])])])]) ).
fof(c_0_27,plain,
! [X2] :
( ~ l1_cat_1(X2)
| ~ v1_xboole_0(u2_cat_1(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_u2_cat_1])])]) ).
fof(c_0_28,plain,
! [X2] :
( ~ l1_cat_1(X2)
| ~ v1_xboole_0(u1_cat_1(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_u1_cat_1])])]) ).
cnf(c_0_29,plain,
( v1_funct_2(X5,u1_cat_1(X2),u2_cat_1(X3))
| ~ m2_cat_1(X1,X2,X3)
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m1_nattra_1(X5,X2,X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,plain,
( m1_nattra_1(X1,X2,X3,X4,X5)
| ~ m2_nattra_1(X1,X2,X3,X4,X5)
| ~ m2_cat_1(X5,X2,X3)
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_31,plain,
! [X8,X9,X10,X11,X12,X13,X14] :
( ~ v2_cat_1(X8)
| ~ l1_cat_1(X8)
| ~ v2_cat_1(X9)
| ~ l1_cat_1(X9)
| ~ v2_cat_1(X10)
| ~ l1_cat_1(X10)
| ~ m2_cat_1(X11,X8,X9)
| ~ m2_cat_1(X12,X8,X9)
| ~ m2_nattra_1(X13,X8,X9,X11,X12)
| ~ m2_cat_1(X14,X9,X10)
| m2_nattra_1(k6_isocat_1(X8,X9,X10,X11,X12,X13,X14),X8,X10,k2_isocat_1(X8,X9,X10,X11,X14),k2_isocat_1(X8,X9,X10,X12,X14)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_isocat_1])]) ).
fof(c_0_32,plain,
! [X6,X7,X8,X9,X10] :
( ~ v2_cat_1(X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X8)
| ~ l1_cat_1(X8)
| ~ m2_cat_1(X9,X6,X7)
| ~ m2_cat_1(X10,X7,X8)
| m2_cat_1(k2_isocat_1(X6,X7,X8,X9,X10),X6,X8) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_isocat_1])]) ).
fof(c_0_33,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,k11_cat_2(X2,X3))
=> ( r4_nattra_1(u1_cat_1(X1),u2_cat_1(X2),u1_cat_1(X1),u2_cat_1(X2),k7_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4)),k13_isocat_2(X1,X2,X3,X4,X4,k7_nattra_1(X1,k11_cat_2(X2,X3),X4)))
& r4_nattra_1(u1_cat_1(X1),u2_cat_1(X3),u1_cat_1(X1),u2_cat_1(X3),k7_nattra_1(X1,X3,k12_isocat_2(X1,X2,X3,X4)),k14_isocat_2(X1,X2,X3,X4,X4,k7_nattra_1(X1,k11_cat_2(X2,X3),X4))) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t40_isocat_2]) ).
cnf(c_0_34,plain,
( v1_xboole_0(X3)
| v1_xboole_0(X2)
| v1_xboole_0(X6)
| v1_xboole_0(X5)
| X4 = X1
| ~ m1_relset_1(X1,X2,X3)
| ~ v1_funct_2(X1,X2,X3)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X4,X5,X6)
| ~ v1_funct_2(X4,X5,X6)
| ~ v1_funct_1(X4)
| ~ r4_nattra_1(X5,X6,X2,X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,plain,
( r4_nattra_1(u1_cat_1(X1),u2_cat_1(X2),u1_cat_1(X1),u2_cat_1(X2),k6_isocat_1(X1,X3,X2,X4,X4,k7_nattra_1(X1,X3,X4),X5),k7_nattra_1(X1,X2,k2_isocat_1(X1,X3,X2,X4,X5)))
| ~ m2_cat_1(X5,X3,X2)
| ~ m2_cat_1(X4,X1,X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_36,plain,
( ~ v1_xboole_0(u2_cat_1(X1))
| ~ l1_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_37,plain,
( ~ v1_xboole_0(u1_cat_1(X1))
| ~ l1_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_38,plain,
( v1_funct_2(X1,u1_cat_1(X2),u2_cat_1(X3))
| ~ m2_nattra_1(X1,X2,X3,X4,X5)
| ~ m2_cat_1(X4,X2,X3)
| ~ m2_cat_1(X5,X2,X3)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_39,plain,
( m2_nattra_1(k6_isocat_1(X1,X2,X3,X4,X5,X6,X7),X1,X3,k2_isocat_1(X1,X2,X3,X4,X7),k2_isocat_1(X1,X2,X3,X5,X7))
| ~ m2_cat_1(X7,X2,X3)
| ~ m2_nattra_1(X6,X1,X2,X4,X5)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,plain,
( m2_cat_1(k2_isocat_1(X1,X2,X3,X4,X5),X1,X3)
| ~ m2_cat_1(X5,X2,X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_41,plain,
! [X4,X5,X6] :
( ~ v2_cat_1(X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X5)
| ~ m2_cat_1(X6,X4,X5)
| m2_nattra_1(k7_nattra_1(X4,X5,X6),X4,X5,X6,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_nattra_1])]) ).
cnf(c_0_42,plain,
( v1_funct_1(X5)
| ~ m2_cat_1(X1,X2,X3)
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m1_nattra_1(X5,X2,X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_43,plain,
( m2_relset_1(X5,u1_cat_1(X2),u2_cat_1(X3))
| ~ m2_cat_1(X1,X2,X3)
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m1_nattra_1(X5,X2,X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_44,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,k11_cat_2(esk2_0,esk3_0))
& ( ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk2_0),u1_cat_1(esk1_0),u2_cat_1(esk2_0),k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),k13_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0)))
| ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk3_0),u1_cat_1(esk1_0),u2_cat_1(esk3_0),k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),k14_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_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_33])])])])]) ).
fof(c_0_45,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ v2_cat_1(X7)
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X8)
| ~ l1_cat_1(X8)
| ~ v2_cat_1(X9)
| ~ l1_cat_1(X9)
| ~ m2_cat_1(X10,X7,k11_cat_2(X8,X9))
| ~ m2_cat_1(X11,X7,k11_cat_2(X8,X9))
| ~ m2_nattra_1(X12,X7,k11_cat_2(X8,X9),X10,X11)
| k14_isocat_2(X7,X8,X9,X10,X11,X12) = k6_isocat_1(X7,k11_cat_2(X8,X9),X9,X10,X11,X12,k9_isocat_2(X8,X9)) ),
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)],[d10_isocat_2])])])])]) ).
cnf(c_0_46,plain,
( k6_isocat_1(X1,X2,X3,X4,X4,k7_nattra_1(X1,X2,X4),X5) = k7_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X5))
| ~ m1_relset_1(k6_isocat_1(X1,X2,X3,X4,X4,k7_nattra_1(X1,X2,X4),X5),u1_cat_1(X1),u2_cat_1(X3))
| ~ m1_relset_1(k7_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X5)),u1_cat_1(X1),u2_cat_1(X3))
| ~ v1_funct_2(k6_isocat_1(X1,X2,X3,X4,X4,k7_nattra_1(X1,X2,X4),X5),u1_cat_1(X1),u2_cat_1(X3))
| ~ v1_funct_2(k7_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X5)),u1_cat_1(X1),u2_cat_1(X3))
| ~ v1_funct_1(k6_isocat_1(X1,X2,X3,X4,X4,k7_nattra_1(X1,X2,X4),X5))
| ~ v1_funct_1(k7_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X5)))
| ~ m2_cat_1(X5,X2,X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_37]) ).
cnf(c_0_47,plain,
( v1_funct_2(k6_isocat_1(X1,X2,X3,X4,X5,X6,X7),u1_cat_1(X1),u2_cat_1(X3))
| ~ m2_nattra_1(X6,X1,X2,X4,X5)
| ~ m2_cat_1(X7,X2,X3)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_40]) ).
cnf(c_0_48,plain,
( m2_nattra_1(k7_nattra_1(X1,X2,X3),X1,X2,X3,X3)
| ~ m2_cat_1(X3,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_41]) ).
cnf(c_0_49,plain,
( v1_funct_1(X1)
| ~ m2_nattra_1(X1,X2,X3,X4,X5)
| ~ m2_cat_1(X4,X2,X3)
| ~ m2_cat_1(X5,X2,X3)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_30]) ).
fof(c_0_50,plain,
! [X4,X5,X6,X4,X5,X6] :
( ( ~ m2_relset_1(X6,X4,X5)
| m1_relset_1(X6,X4,X5) )
& ( ~ m1_relset_1(X6,X4,X5)
| m2_relset_1(X6,X4,X5) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])])]) ).
cnf(c_0_51,plain,
( m2_relset_1(X1,u1_cat_1(X2),u2_cat_1(X3))
| ~ m2_nattra_1(X1,X2,X3,X4,X5)
| ~ m2_cat_1(X4,X2,X3)
| ~ m2_cat_1(X5,X2,X3)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_30]) ).
cnf(c_0_52,negated_conjecture,
( ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk3_0),u1_cat_1(esk1_0),u2_cat_1(esk3_0),k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),k14_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0)))
| ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk2_0),u1_cat_1(esk1_0),u2_cat_1(esk2_0),k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),k13_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0))) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_53,plain,
( k14_isocat_2(X1,X2,X3,X4,X5,X6) = k6_isocat_1(X1,k11_cat_2(X2,X3),X3,X4,X5,X6,k9_isocat_2(X2,X3))
| ~ m2_nattra_1(X6,X1,k11_cat_2(X2,X3),X4,X5)
| ~ m2_cat_1(X5,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_54,negated_conjecture,
m2_cat_1(esk4_0,esk1_0,k11_cat_2(esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_55,negated_conjecture,
l1_cat_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_56,negated_conjecture,
l1_cat_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_57,negated_conjecture,
l1_cat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_58,negated_conjecture,
v2_cat_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_59,negated_conjecture,
v2_cat_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_60,negated_conjecture,
v2_cat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_61,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ v2_cat_1(X7)
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X8)
| ~ l1_cat_1(X8)
| ~ v2_cat_1(X9)
| ~ l1_cat_1(X9)
| ~ m2_cat_1(X10,X7,k11_cat_2(X8,X9))
| ~ m2_cat_1(X11,X7,k11_cat_2(X8,X9))
| ~ m2_nattra_1(X12,X7,k11_cat_2(X8,X9),X10,X11)
| k13_isocat_2(X7,X8,X9,X10,X11,X12) = k6_isocat_1(X7,k11_cat_2(X8,X9),X8,X10,X11,X12,k8_isocat_2(X8,X9)) ),
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)],[d9_isocat_2])])])])]) ).
cnf(c_0_62,plain,
( k6_isocat_1(X1,X2,X3,X4,X4,k7_nattra_1(X1,X2,X4),X5) = k7_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X5))
| ~ m1_relset_1(k6_isocat_1(X1,X2,X3,X4,X4,k7_nattra_1(X1,X2,X4),X5),u1_cat_1(X1),u2_cat_1(X3))
| ~ m1_relset_1(k7_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X5)),u1_cat_1(X1),u2_cat_1(X3))
| ~ v1_funct_2(k7_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X5)),u1_cat_1(X1),u2_cat_1(X3))
| ~ v1_funct_1(k6_isocat_1(X1,X2,X3,X4,X4,k7_nattra_1(X1,X2,X4),X5))
| ~ v1_funct_1(k7_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X5)))
| ~ m2_cat_1(X5,X2,X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
cnf(c_0_63,plain,
( v1_funct_1(k6_isocat_1(X1,X2,X3,X4,X5,X6,X7))
| ~ m2_nattra_1(X6,X1,X2,X4,X5)
| ~ m2_cat_1(X7,X2,X3)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_39]),c_0_40]),c_0_40]) ).
cnf(c_0_64,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_65,plain,
( m2_relset_1(k6_isocat_1(X1,X2,X3,X4,X5,X6,X7),u1_cat_1(X1),u2_cat_1(X3))
| ~ m2_nattra_1(X6,X1,X2,X4,X5)
| ~ m2_cat_1(X7,X2,X3)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_39]),c_0_40]),c_0_40]) ).
cnf(c_0_66,negated_conjecture,
( ~ m2_nattra_1(k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0),esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk4_0)
| ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk3_0),u1_cat_1(esk1_0),u2_cat_1(esk3_0),k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),k6_isocat_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk3_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0),k9_isocat_2(esk2_0,esk3_0)))
| ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk2_0),u1_cat_1(esk1_0),u2_cat_1(esk2_0),k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),k13_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_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(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60])]) ).
cnf(c_0_67,plain,
( k13_isocat_2(X1,X2,X3,X4,X5,X6) = k6_isocat_1(X1,k11_cat_2(X2,X3),X2,X4,X5,X6,k8_isocat_2(X2,X3))
| ~ m2_nattra_1(X6,X1,k11_cat_2(X2,X3),X4,X5)
| ~ m2_cat_1(X5,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_68,plain,
( k6_isocat_1(X1,X2,X3,X4,X4,k7_nattra_1(X1,X2,X4),X5) = k7_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X5))
| ~ m1_relset_1(k6_isocat_1(X1,X2,X3,X4,X4,k7_nattra_1(X1,X2,X4),X5),u1_cat_1(X1),u2_cat_1(X3))
| ~ m1_relset_1(k7_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X5)),u1_cat_1(X1),u2_cat_1(X3))
| ~ v1_funct_2(k7_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X5)),u1_cat_1(X1),u2_cat_1(X3))
| ~ v1_funct_1(k7_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X5)))
| ~ m2_cat_1(X5,X2,X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_48]) ).
cnf(c_0_69,plain,
( m1_relset_1(k6_isocat_1(X1,X2,X3,X4,X5,X6,X7),u1_cat_1(X1),u2_cat_1(X3))
| ~ m2_nattra_1(X6,X1,X2,X4,X5)
| ~ m2_cat_1(X7,X2,X3)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_70,negated_conjecture,
( ~ m2_nattra_1(k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0),esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk4_0)
| ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk3_0),u1_cat_1(esk1_0),u2_cat_1(esk3_0),k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),k6_isocat_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk3_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0),k9_isocat_2(esk2_0,esk3_0)))
| ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk2_0),u1_cat_1(esk1_0),u2_cat_1(esk2_0),k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),k6_isocat_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk2_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0),k8_isocat_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(spm,[status(thm)],[c_0_66,c_0_67]),c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60])]) ).
cnf(c_0_71,plain,
( k6_isocat_1(X1,X2,X3,X4,X4,k7_nattra_1(X1,X2,X4),X5) = k7_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X5))
| ~ m1_relset_1(k7_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X5)),u1_cat_1(X1),u2_cat_1(X3))
| ~ v1_funct_2(k7_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X5)),u1_cat_1(X1),u2_cat_1(X3))
| ~ v1_funct_1(k7_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X5)))
| ~ m2_cat_1(X5,X2,X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_48]) ).
fof(c_0_72,plain,
! [X5,X6,X7,X8] :
( ~ v2_cat_1(X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X7)
| ~ m2_cat_1(X8,X5,k11_cat_2(X6,X7))
| k12_isocat_2(X5,X6,X7,X8) = k2_isocat_1(X5,k11_cat_2(X6,X7),X7,X8,k9_isocat_2(X6,X7)) ),
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)],[d8_isocat_2])])])])]) ).
cnf(c_0_73,negated_conjecture,
( ~ m2_nattra_1(k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0),esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk4_0)
| ~ m1_relset_1(k7_nattra_1(esk1_0,esk3_0,k2_isocat_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk3_0,esk4_0,k9_isocat_2(esk2_0,esk3_0))),u1_cat_1(esk1_0),u2_cat_1(esk3_0))
| ~ v1_funct_2(k7_nattra_1(esk1_0,esk3_0,k2_isocat_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk3_0,esk4_0,k9_isocat_2(esk2_0,esk3_0))),u1_cat_1(esk1_0),u2_cat_1(esk3_0))
| ~ v1_funct_1(k7_nattra_1(esk1_0,esk3_0,k2_isocat_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk3_0,esk4_0,k9_isocat_2(esk2_0,esk3_0))))
| ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk2_0),u1_cat_1(esk1_0),u2_cat_1(esk2_0),k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),k6_isocat_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk2_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0),k8_isocat_2(esk2_0,esk3_0)))
| ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk3_0),u1_cat_1(esk1_0),u2_cat_1(esk3_0),k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),k7_nattra_1(esk1_0,esk3_0,k2_isocat_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk3_0,esk4_0,k9_isocat_2(esk2_0,esk3_0))))
| ~ m2_cat_1(k9_isocat_2(esk2_0,esk3_0),k11_cat_2(esk2_0,esk3_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(spm,[status(thm)],[c_0_70,c_0_71]),c_0_54]),c_0_55]),c_0_57]),c_0_58]),c_0_60])]) ).
cnf(c_0_74,plain,
( k12_isocat_2(X1,X2,X3,X4) = k2_isocat_1(X1,k11_cat_2(X2,X3),X3,X4,k9_isocat_2(X2,X3))
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
fof(c_0_75,plain,
! [X3,X4] :
( ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4)
| m2_cat_1(k9_isocat_2(X3,X4),k11_cat_2(X3,X4),X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k9_isocat_2])]) ).
cnf(c_0_76,negated_conjecture,
( ~ m2_nattra_1(k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0),esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk4_0)
| ~ m1_relset_1(k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk3_0))
| ~ v1_funct_2(k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk3_0))
| ~ v1_funct_1(k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)))
| ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk2_0),u1_cat_1(esk1_0),u2_cat_1(esk2_0),k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),k6_isocat_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk2_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0),k8_isocat_2(esk2_0,esk3_0)))
| ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk3_0),u1_cat_1(esk1_0),u2_cat_1(esk3_0),k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)))
| ~ m2_cat_1(k9_isocat_2(esk2_0,esk3_0),k11_cat_2(esk2_0,esk3_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(spm,[status(thm)],[c_0_73,c_0_74]),c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60])]) ).
cnf(c_0_77,plain,
( m2_cat_1(k9_isocat_2(X1,X2),k11_cat_2(X1,X2),X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
fof(c_0_78,plain,
! [X7,X8,X9,X10,X11,X12] :
( v1_xboole_0(X7)
| v1_xboole_0(X8)
| v1_xboole_0(X9)
| v1_xboole_0(X10)
| ~ v1_funct_1(X11)
| ~ v1_funct_2(X11,X7,X8)
| ~ m1_relset_1(X11,X7,X8)
| ~ v1_funct_1(X12)
| ~ v1_funct_2(X12,X9,X10)
| ~ m1_relset_1(X12,X9,X10)
| r4_nattra_1(X7,X8,X9,X10,X11,X11) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r4_nattra_1])])])])]) ).
cnf(c_0_79,plain,
( m2_relset_1(k7_nattra_1(X1,X2,X3),u1_cat_1(X1),u2_cat_1(X2))
| ~ m2_cat_1(X3,X1,X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_48]) ).
cnf(c_0_80,negated_conjecture,
( ~ m2_nattra_1(k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0),esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk4_0)
| ~ m1_relset_1(k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk3_0))
| ~ v1_funct_2(k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk3_0))
| ~ v1_funct_1(k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)))
| ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk2_0),u1_cat_1(esk1_0),u2_cat_1(esk2_0),k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),k6_isocat_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk2_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0),k8_isocat_2(esk2_0,esk3_0)))
| ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk3_0),u1_cat_1(esk1_0),u2_cat_1(esk3_0),k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_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(spm,[status(thm)],[c_0_76,c_0_77]),c_0_55]),c_0_56]),c_0_58]),c_0_59])]) ).
fof(c_0_81,plain,
! [X5,X6,X7,X8] :
( ~ v2_cat_1(X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X7)
| ~ m2_cat_1(X8,X5,k11_cat_2(X6,X7))
| k11_isocat_2(X5,X6,X7,X8) = k2_isocat_1(X5,k11_cat_2(X6,X7),X6,X8,k8_isocat_2(X6,X7)) ),
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)],[d7_isocat_2])])])])]) ).
fof(c_0_82,plain,
! [X3,X4] :
( ( v2_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4) )
& ( l1_cat_1(k11_cat_2(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_k11_cat_2])])]) ).
cnf(c_0_83,plain,
( r4_nattra_1(X1,X2,X3,X4,X5,X5)
| v1_xboole_0(X4)
| v1_xboole_0(X3)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ m1_relset_1(X6,X3,X4)
| ~ v1_funct_2(X6,X3,X4)
| ~ v1_funct_1(X6)
| ~ m1_relset_1(X5,X1,X2)
| ~ v1_funct_2(X5,X1,X2)
| ~ v1_funct_1(X5) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_84,plain,
( v1_funct_2(k7_nattra_1(X1,X2,X3),u1_cat_1(X1),u2_cat_1(X2))
| ~ m2_cat_1(X3,X1,X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_48]) ).
cnf(c_0_85,plain,
( v1_funct_1(k7_nattra_1(X1,X2,X3))
| ~ m2_cat_1(X3,X1,X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_48]) ).
cnf(c_0_86,plain,
( m1_relset_1(k7_nattra_1(X1,X2,X3),u1_cat_1(X1),u2_cat_1(X2))
| ~ m2_cat_1(X3,X1,X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_79]) ).
fof(c_0_87,plain,
! [X4,X5] :
( ~ v2_cat_1(X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X5)
| m2_cat_1(esk5_2(X4,X5),X4,X5) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[existence_m2_cat_1])])])])]) ).
cnf(c_0_88,negated_conjecture,
( ~ m2_nattra_1(k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0),esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk4_0)
| ~ m1_relset_1(k7_nattra_1(esk1_0,esk2_0,k2_isocat_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk2_0,esk4_0,k8_isocat_2(esk2_0,esk3_0))),u1_cat_1(esk1_0),u2_cat_1(esk2_0))
| ~ m1_relset_1(k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk3_0))
| ~ v1_funct_2(k7_nattra_1(esk1_0,esk2_0,k2_isocat_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk2_0,esk4_0,k8_isocat_2(esk2_0,esk3_0))),u1_cat_1(esk1_0),u2_cat_1(esk2_0))
| ~ v1_funct_2(k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk3_0))
| ~ v1_funct_1(k7_nattra_1(esk1_0,esk2_0,k2_isocat_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk2_0,esk4_0,k8_isocat_2(esk2_0,esk3_0))))
| ~ v1_funct_1(k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)))
| ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk2_0),u1_cat_1(esk1_0),u2_cat_1(esk2_0),k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),k7_nattra_1(esk1_0,esk2_0,k2_isocat_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk2_0,esk4_0,k8_isocat_2(esk2_0,esk3_0))))
| ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk3_0),u1_cat_1(esk1_0),u2_cat_1(esk3_0),k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)))
| ~ m2_cat_1(k8_isocat_2(esk2_0,esk3_0),k11_cat_2(esk2_0,esk3_0),esk2_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(spm,[status(thm)],[c_0_80,c_0_71]),c_0_54]),c_0_56]),c_0_57]),c_0_59]),c_0_60])]) ).
cnf(c_0_89,plain,
( k11_isocat_2(X1,X2,X3,X4) = k2_isocat_1(X1,k11_cat_2(X2,X3),X2,X4,k8_isocat_2(X2,X3))
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
fof(c_0_90,plain,
! [X3,X4] :
( ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4)
| m2_cat_1(k8_isocat_2(X3,X4),k11_cat_2(X3,X4),X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_isocat_2])]) ).
fof(c_0_91,plain,
! [X7,X8,X9,X10,X11,X12] :
( v1_xboole_0(X7)
| v1_xboole_0(X8)
| v1_xboole_0(X9)
| v1_xboole_0(X10)
| ~ v1_funct_1(X11)
| ~ v1_funct_2(X11,X7,X8)
| ~ m1_relset_1(X11,X7,X8)
| ~ v1_funct_1(X12)
| ~ v1_funct_2(X12,X9,X10)
| ~ m1_relset_1(X12,X9,X10)
| ~ r4_nattra_1(X7,X8,X9,X10,X11,X12)
| r4_nattra_1(X7,X8,X9,X10,X12,X11) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[symmetry_r4_nattra_1])])]) ).
cnf(c_0_92,plain,
( r4_nattra_1(u1_cat_1(X1),u2_cat_1(X2),u1_cat_1(X1),u2_cat_1(X2),k7_nattra_1(X1,X2,k2_isocat_1(X1,X3,X2,X4,X5)),k7_nattra_1(X1,X2,k2_isocat_1(X1,X3,X2,X4,X5)))
| ~ m1_relset_1(k7_nattra_1(X1,X2,k2_isocat_1(X1,X3,X2,X4,X5)),u1_cat_1(X1),u2_cat_1(X2))
| ~ v1_funct_2(k7_nattra_1(X1,X2,k2_isocat_1(X1,X3,X2,X4,X5)),u1_cat_1(X1),u2_cat_1(X2))
| ~ v1_funct_1(k7_nattra_1(X1,X2,k2_isocat_1(X1,X3,X2,X4,X5)))
| ~ m2_cat_1(X5,X3,X2)
| ~ m2_cat_1(X4,X1,X3)
| ~ 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(spm,[status(thm)],[c_0_35,c_0_71]) ).
cnf(c_0_93,plain,
( v2_cat_1(k11_cat_2(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_82]) ).
cnf(c_0_94,plain,
( l1_cat_1(k11_cat_2(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_82]) ).
cnf(c_0_95,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| r4_nattra_1(X2,X1,u1_cat_1(X3),u2_cat_1(X4),X5,X5)
| ~ m1_relset_1(X5,X2,X1)
| ~ v1_funct_2(X5,X2,X1)
| ~ v1_funct_1(X5)
| ~ m2_cat_1(X6,X3,X4)
| ~ l1_cat_1(X4)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X4)
| ~ v2_cat_1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]),c_0_86]),c_0_36]),c_0_37]) ).
cnf(c_0_96,plain,
( m2_cat_1(esk5_2(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_87]) ).
cnf(c_0_97,negated_conjecture,
( ~ m2_nattra_1(k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0),esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk4_0)
| ~ m1_relset_1(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk2_0))
| ~ m1_relset_1(k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk3_0))
| ~ v1_funct_2(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk2_0))
| ~ v1_funct_2(k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk3_0))
| ~ v1_funct_1(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)))
| ~ v1_funct_1(k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)))
| ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk2_0),u1_cat_1(esk1_0),u2_cat_1(esk2_0),k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)))
| ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk3_0),u1_cat_1(esk1_0),u2_cat_1(esk3_0),k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)))
| ~ m2_cat_1(k8_isocat_2(esk2_0,esk3_0),k11_cat_2(esk2_0,esk3_0),esk2_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(spm,[status(thm)],[c_0_88,c_0_89]),c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60])]) ).
cnf(c_0_98,plain,
( m2_cat_1(k8_isocat_2(X1,X2),k11_cat_2(X1,X2),X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_99,plain,
( r4_nattra_1(X1,X2,X3,X4,X5,X6)
| v1_xboole_0(X4)
| v1_xboole_0(X3)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ r4_nattra_1(X1,X2,X3,X4,X6,X5)
| ~ m1_relset_1(X5,X3,X4)
| ~ v1_funct_2(X5,X3,X4)
| ~ v1_funct_1(X5)
| ~ m1_relset_1(X6,X1,X2)
| ~ v1_funct_2(X6,X1,X2)
| ~ v1_funct_1(X6) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_100,plain,
( r4_nattra_1(u1_cat_1(X1),u2_cat_1(X2),u1_cat_1(X1),u2_cat_1(X2),k7_nattra_1(X1,X2,k12_isocat_2(X1,X3,X2,X4)),k7_nattra_1(X1,X2,k12_isocat_2(X1,X3,X2,X4)))
| ~ m1_relset_1(k7_nattra_1(X1,X2,k12_isocat_2(X1,X3,X2,X4)),u1_cat_1(X1),u2_cat_1(X2))
| ~ v1_funct_2(k7_nattra_1(X1,X2,k12_isocat_2(X1,X3,X2,X4)),u1_cat_1(X1),u2_cat_1(X2))
| ~ v1_funct_1(k7_nattra_1(X1,X2,k12_isocat_2(X1,X3,X2,X4)))
| ~ m2_cat_1(X4,X1,k11_cat_2(X3,X2))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_74]),c_0_93]),c_0_94]),c_0_77]) ).
cnf(c_0_101,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| r4_nattra_1(X1,X2,u1_cat_1(X3),u2_cat_1(X4),X5,X5)
| ~ m1_relset_1(X5,X1,X2)
| ~ v1_funct_2(X5,X1,X2)
| ~ v1_funct_1(X5)
| ~ l1_cat_1(X4)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X4)
| ~ v2_cat_1(X3) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_102,negated_conjecture,
( ~ m2_nattra_1(k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0),esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk4_0)
| ~ m1_relset_1(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk2_0))
| ~ m1_relset_1(k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk3_0))
| ~ v1_funct_2(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk2_0))
| ~ v1_funct_2(k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk3_0))
| ~ v1_funct_1(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)))
| ~ v1_funct_1(k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)))
| ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk2_0),u1_cat_1(esk1_0),u2_cat_1(esk2_0),k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)))
| ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk3_0),u1_cat_1(esk1_0),u2_cat_1(esk3_0),k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_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(spm,[status(thm)],[c_0_97,c_0_98]),c_0_55]),c_0_56]),c_0_58]),c_0_59])]) ).
cnf(c_0_103,plain,
( r4_nattra_1(u1_cat_1(X1),u2_cat_1(X2),u1_cat_1(X1),u2_cat_1(X2),k7_nattra_1(X1,X2,k12_isocat_2(X1,X3,X2,X4)),k7_nattra_1(X1,X2,k12_isocat_2(X1,X3,X2,X4)))
| ~ m1_relset_1(k7_nattra_1(X1,X2,k12_isocat_2(X1,X3,X2,X4)),u1_cat_1(X1),u2_cat_1(X2))
| ~ v1_funct_2(k7_nattra_1(X1,X2,k12_isocat_2(X1,X3,X2,X4)),u1_cat_1(X1),u2_cat_1(X2))
| ~ v1_funct_1(k7_nattra_1(X1,X2,k12_isocat_2(X1,X3,X2,X4)))
| ~ 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(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]),c_0_101]),c_0_101]),c_0_36]),c_0_37]) ).
cnf(c_0_104,negated_conjecture,
( ~ m2_nattra_1(k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0),esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk4_0)
| ~ m1_relset_1(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk2_0))
| ~ m1_relset_1(k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk3_0))
| ~ v1_funct_2(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk2_0))
| ~ v1_funct_2(k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk3_0))
| ~ v1_funct_1(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)))
| ~ v1_funct_1(k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)))
| ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk2_0),u1_cat_1(esk1_0),u2_cat_1(esk2_0),k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_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(spm,[status(thm)],[c_0_102,c_0_103]),c_0_55]),c_0_57]),c_0_58]),c_0_60])]) ).
cnf(c_0_105,negated_conjecture,
( ~ m2_nattra_1(k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0),esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk4_0)
| ~ m1_relset_1(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk2_0))
| ~ m1_relset_1(k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk3_0))
| ~ v1_funct_2(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk2_0))
| ~ v1_funct_1(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)))
| ~ v1_funct_1(k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)))
| ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk2_0),u1_cat_1(esk1_0),u2_cat_1(esk2_0),k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)))
| ~ m2_cat_1(k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),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(spm,[status(thm)],[c_0_104,c_0_84]),c_0_55]),c_0_57]),c_0_58]),c_0_60])]) ).
cnf(c_0_106,negated_conjecture,
( ~ m2_nattra_1(k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0),esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk4_0)
| ~ m1_relset_1(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk2_0))
| ~ m1_relset_1(k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk3_0))
| ~ v1_funct_2(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk2_0))
| ~ v1_funct_1(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)))
| ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk2_0),u1_cat_1(esk1_0),u2_cat_1(esk2_0),k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)))
| ~ m2_cat_1(k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),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(spm,[status(thm)],[c_0_105,c_0_85]),c_0_55]),c_0_57]),c_0_58]),c_0_60])]) ).
fof(c_0_107,plain,
! [X5,X6,X7,X8] :
( ~ v2_cat_1(X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X7)
| ~ m2_cat_1(X8,X5,k11_cat_2(X6,X7))
| m2_cat_1(k12_isocat_2(X5,X6,X7,X8),X5,X7) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k12_isocat_2])]) ).
cnf(c_0_108,negated_conjecture,
( ~ m2_nattra_1(k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0),esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk4_0)
| ~ m1_relset_1(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk2_0))
| ~ v1_funct_2(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk2_0))
| ~ v1_funct_1(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)))
| ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk2_0),u1_cat_1(esk1_0),u2_cat_1(esk2_0),k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)))
| ~ m2_cat_1(k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),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(spm,[status(thm)],[c_0_106,c_0_86]),c_0_55]),c_0_57]),c_0_58]),c_0_60])]) ).
cnf(c_0_109,plain,
( m2_cat_1(k12_isocat_2(X1,X2,X3,X4),X1,X3)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_110,plain,
( r4_nattra_1(u1_cat_1(X1),u2_cat_1(X2),u1_cat_1(X1),u2_cat_1(X2),k7_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4)),k7_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4)))
| ~ m1_relset_1(k7_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4)),u1_cat_1(X1),u2_cat_1(X2))
| ~ v1_funct_2(k7_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4)),u1_cat_1(X1),u2_cat_1(X2))
| ~ v1_funct_1(k7_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4)))
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_89]),c_0_93]),c_0_94]),c_0_98]) ).
cnf(c_0_111,negated_conjecture,
( ~ m2_nattra_1(k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0),esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk4_0)
| ~ m1_relset_1(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk2_0))
| ~ v1_funct_2(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk2_0))
| ~ v1_funct_1(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)))
| ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk2_0),u1_cat_1(esk1_0),u2_cat_1(esk2_0),k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_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(spm,[status(thm)],[c_0_108,c_0_109]),c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60])]) ).
cnf(c_0_112,plain,
( r4_nattra_1(u1_cat_1(X1),u2_cat_1(X2),u1_cat_1(X1),u2_cat_1(X2),k7_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4)),k7_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4)))
| ~ m1_relset_1(k7_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4)),u1_cat_1(X1),u2_cat_1(X2))
| ~ v1_funct_2(k7_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4)),u1_cat_1(X1),u2_cat_1(X2))
| ~ v1_funct_1(k7_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4)))
| ~ 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(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_110]),c_0_101]),c_0_101]),c_0_101]),c_0_36]),c_0_37]) ).
cnf(c_0_113,negated_conjecture,
( ~ m2_nattra_1(k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0),esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk4_0)
| ~ m1_relset_1(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk2_0))
| ~ v1_funct_2(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk2_0))
| ~ v1_funct_1(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_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(spm,[status(thm)],[c_0_111,c_0_112]),c_0_56]),c_0_57]),c_0_59]),c_0_60])]) ).
cnf(c_0_114,negated_conjecture,
( ~ m2_nattra_1(k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0),esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk4_0)
| ~ m1_relset_1(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk2_0))
| ~ v1_funct_1(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)))
| ~ m2_cat_1(k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),esk1_0,esk2_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(spm,[status(thm)],[c_0_113,c_0_84]),c_0_56]),c_0_57]),c_0_59]),c_0_60])]) ).
cnf(c_0_115,negated_conjecture,
( ~ m2_nattra_1(k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0),esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk4_0)
| ~ m1_relset_1(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk2_0))
| ~ m2_cat_1(k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),esk1_0,esk2_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(spm,[status(thm)],[c_0_114,c_0_85]),c_0_56]),c_0_57]),c_0_59]),c_0_60])]) ).
fof(c_0_116,plain,
! [X5,X6,X7,X8] :
( ~ v2_cat_1(X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X7)
| ~ m2_cat_1(X8,X5,k11_cat_2(X6,X7))
| m2_cat_1(k11_isocat_2(X5,X6,X7,X8),X5,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k11_isocat_2])]) ).
cnf(c_0_117,negated_conjecture,
( ~ m2_nattra_1(k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0),esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk4_0)
| ~ m2_cat_1(k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),esk1_0,esk2_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(spm,[status(thm)],[c_0_115,c_0_86]),c_0_56]),c_0_57]),c_0_59]),c_0_60])]) ).
cnf(c_0_118,plain,
( m2_cat_1(k11_isocat_2(X1,X2,X3,X4),X1,X2)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_119,negated_conjecture,
( ~ m2_nattra_1(k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0),esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk4_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(spm,[status(thm)],[c_0_117,c_0_118]),c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60])]) ).
cnf(c_0_120,negated_conjecture,
( ~ 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_119,c_0_48]),c_0_54]),c_0_57]),c_0_60])]) ).
cnf(c_0_121,negated_conjecture,
~ 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_120,c_0_93]),c_0_56]),c_0_55]),c_0_59]),c_0_58])]) ).
cnf(c_0_122,negated_conjecture,
$false,
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_121,c_0_94]),c_0_56]),c_0_55]),c_0_59]),c_0_58])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : CAT027+1 : TPTP v8.1.0. Released v3.4.0.
% 0.08/0.12 % Command : run_ET %s %d
% 0.12/0.32 % Computer : n032.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sun May 29 23:53:12 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.21/1.39 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.21/1.39 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.21/1.39 # Preprocessing time : 0.018 s
% 0.21/1.39
% 0.21/1.39 # Proof found!
% 0.21/1.39 # SZS status Theorem
% 0.21/1.39 # SZS output start CNFRefutation
% See solution above
% 0.21/1.39 # Proof object total steps : 123
% 0.21/1.39 # Proof object clause steps : 76
% 0.21/1.39 # Proof object formula steps : 47
% 0.21/1.39 # Proof object conjectures : 32
% 0.21/1.39 # Proof object clause conjectures : 29
% 0.21/1.39 # Proof object formula conjectures : 3
% 0.21/1.39 # Proof object initial clauses used : 33
% 0.21/1.39 # Proof object initial formulas used : 23
% 0.21/1.39 # Proof object generating inferences : 43
% 0.21/1.39 # Proof object simplifying inferences : 155
% 0.21/1.39 # Training examples: 0 positive, 0 negative
% 0.21/1.39 # Parsed axioms : 65
% 0.21/1.39 # Removed by relevancy pruning/SinE : 31
% 0.21/1.39 # Initial clauses : 48
% 0.21/1.39 # Removed in clause preprocessing : 0
% 0.21/1.39 # Initial clauses in saturation : 48
% 0.21/1.39 # Processed clauses : 271
% 0.21/1.39 # ...of these trivial : 0
% 0.21/1.39 # ...subsumed : 113
% 0.21/1.39 # ...remaining for further processing : 158
% 0.21/1.39 # Other redundant clauses eliminated : 1
% 0.21/1.39 # Clauses deleted for lack of memory : 0
% 0.21/1.39 # Backward-subsumed : 29
% 0.21/1.39 # Backward-rewritten : 0
% 0.21/1.39 # Generated clauses : 300
% 0.21/1.39 # ...of the previous two non-trivial : 289
% 0.21/1.39 # Contextual simplify-reflections : 313
% 0.21/1.39 # Paramodulations : 299
% 0.21/1.39 # Factorizations : 0
% 0.21/1.39 # Equation resolutions : 1
% 0.21/1.39 # Current number of processed clauses : 128
% 0.21/1.39 # Positive orientable unit clauses : 12
% 0.21/1.39 # Positive unorientable unit clauses: 0
% 0.21/1.39 # Negative unit clauses : 2
% 0.21/1.39 # Non-unit-clauses : 114
% 0.21/1.39 # Current number of unprocessed clauses: 35
% 0.21/1.39 # ...number of literals in the above : 487
% 0.21/1.39 # Current number of archived formulas : 0
% 0.21/1.39 # Current number of archived clauses : 29
% 0.21/1.39 # Clause-clause subsumption calls (NU) : 44852
% 0.21/1.39 # Rec. Clause-clause subsumption calls : 2017
% 0.21/1.39 # Non-unit clause-clause subsumptions : 455
% 0.21/1.39 # Unit Clause-clause subsumption calls : 51
% 0.21/1.39 # Rewrite failures with RHS unbound : 0
% 0.21/1.39 # BW rewrite match attempts : 0
% 0.21/1.39 # BW rewrite match successes : 0
% 0.21/1.39 # Condensation attempts : 0
% 0.21/1.39 # Condensation successes : 0
% 0.21/1.39 # Termbank termtop insertions : 25306
% 0.21/1.39
% 0.21/1.39 # -------------------------------------------------
% 0.21/1.39 # User time : 0.066 s
% 0.21/1.39 # System time : 0.004 s
% 0.21/1.39 # Total time : 0.070 s
% 0.21/1.39 # Maximum resident set size: 3712 pages
% 0.21/23.38 eprover: CPU time limit exceeded, terminating
% 0.21/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.40 eprover: No such file or directory
% 0.21/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.41 eprover: No such file or directory
% 0.21/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.41 eprover: No such file or directory
% 0.21/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.42 eprover: No such file or directory
% 0.21/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.42 eprover: No such file or directory
% 0.21/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.43 eprover: No such file or directory
% 0.21/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.43 eprover: No such file or directory
% 0.21/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.44 eprover: No such file or directory
% 0.21/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.45 eprover: No such file or directory
% 0.21/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.45 eprover: No such file or directory
% 0.21/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.46 eprover: No such file or directory
%------------------------------------------------------------------------------