%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CAT027+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:08:06 PM UTC 2026
% Result : Theorem 0.24s 0.97s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 19
% Syntax : Number of formulae : 123 ( 10 unt; 0 def)
% Number of atoms : 944 ( 24 equ)
% Maximal formula atoms : 24 ( 7 avg)
% Number of connectives : 1484 ( 663 ~; 652 |; 113 &)
% ( 3 <=>; 53 =>; 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 : 16 ( 16 usr; 4 con; 0-7 aty)
% Number of variables : 461 ( 0 sgn 168 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(redefinition_r4_nattra_1,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( 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)
& ~ v1_xboole_0(X4)
& ~ v1_xboole_0(X3)
& ~ v1_xboole_0(X2)
& ~ v1_xboole_0(X1) )
=> ( r4_nattra_1(X1,X2,X3,X4,X5,X6)
<=> X5 = X6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r4_nattra_1) ).
fof(dt_u2_cat_1,axiom,
! [X1] :
( l1_cat_1(X1)
=> ~ v1_xboole_0(u2_cat_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/sandbox2/benchmark/theBenchmark.p',dt_u1_cat_1) ).
fof(dt_m1_nattra_1,axiom,
! [X1,X2,X3,X4] :
( ( m2_cat_1(X4,X1,X2)
& m2_cat_1(X3,X1,X2)
& l1_cat_1(X2)
& v2_cat_1(X2)
& l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X5] :
( m1_nattra_1(X5,X1,X2,X3,X4)
=> ( m2_relset_1(X5,u1_cat_1(X1),u2_cat_1(X2))
& v1_funct_2(X5,u1_cat_1(X1),u2_cat_1(X2))
& v1_funct_1(X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_nattra_1) ).
fof(dt_m2_nattra_1,axiom,
! [X1,X2,X3,X4] :
( ( m2_cat_1(X4,X1,X2)
& m2_cat_1(X3,X1,X2)
& l1_cat_1(X2)
& v2_cat_1(X2)
& l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X5] :
( m2_nattra_1(X5,X1,X2,X3,X4)
=> m1_nattra_1(X5,X1,X2,X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_nattra_1) ).
fof(t38_isocat_1,axiom,
! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> ! [X3] :
( ( l1_cat_1(X3)
& v2_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/sandbox2/benchmark/theBenchmark.p',t38_isocat_1) ).
fof(dt_k6_isocat_1,axiom,
! [X1,X2,X3,X4,X5,X6,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) )
=> 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/sandbox2/benchmark/theBenchmark.p',dt_k6_isocat_1) ).
fof(dt_k2_isocat_1,axiom,
! [X1,X2,X3,X4,X5] :
( ( 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) )
=> m2_cat_1(k2_isocat_1(X1,X2,X3,X4,X5),X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_isocat_1) ).
fof(dt_k7_nattra_1,axiom,
! [X1,X2,X3] :
( ( m2_cat_1(X3,X1,X2)
& l1_cat_1(X2)
& v2_cat_1(X2)
& l1_cat_1(X1)
& v2_cat_1(X1) )
=> m2_nattra_1(k7_nattra_1(X1,X2,X3),X1,X2,X3,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_nattra_1) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(d8_isocat_2,axiom,
! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> ! [X3] :
( ( l1_cat_1(X3)
& v2_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/sandbox2/benchmark/theBenchmark.p',d8_isocat_2) ).
fof(dt_k11_cat_2,axiom,
! [X1,X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2)
& l1_cat_1(X1)
& v2_cat_1(X1) )
=> ( l1_cat_1(k11_cat_2(X1,X2))
& v2_cat_1(k11_cat_2(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_cat_2) ).
fof(dt_k9_isocat_2,axiom,
! [X1,X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2)
& l1_cat_1(X1)
& v2_cat_1(X1) )
=> m2_cat_1(k9_isocat_2(X1,X2),k11_cat_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_isocat_2) ).
fof(d10_isocat_2,axiom,
! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> ! [X3] :
( ( l1_cat_1(X3)
& v2_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/sandbox2/benchmark/theBenchmark.p',d10_isocat_2) ).
fof(symmetry_r4_nattra_1,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( 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)
& ~ v1_xboole_0(X4)
& ~ v1_xboole_0(X3)
& ~ v1_xboole_0(X2)
& ~ v1_xboole_0(X1) )
=> ( r4_nattra_1(X1,X2,X3,X4,X5,X6)
=> r4_nattra_1(X1,X2,X3,X4,X6,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_r4_nattra_1) ).
fof(d7_isocat_2,axiom,
! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> ! [X3] :
( ( l1_cat_1(X3)
& v2_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/sandbox2/benchmark/theBenchmark.p',d7_isocat_2) ).
fof(dt_k8_isocat_2,axiom,
! [X1,X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2)
& l1_cat_1(X1)
& v2_cat_1(X1) )
=> m2_cat_1(k8_isocat_2(X1,X2),k11_cat_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_isocat_2) ).
fof(d9_isocat_2,axiom,
! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> ! [X3] :
( ( l1_cat_1(X3)
& v2_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/sandbox2/benchmark/theBenchmark.p',d9_isocat_2) ).
fof(t40_isocat_2,conjecture,
! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> ! [X3] :
( ( l1_cat_1(X3)
& v2_cat_1(X3) )
=> ! [X4] :
( m2_cat_1(X4,X1,k11_cat_2(X2,X3))
=> ( 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)))
& 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))) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_isocat_2) ).
fof(c_0_19,plain,
! [X1,X2,X3,X4,X5,X6] :
( ( 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)
& ~ v1_xboole_0(X4)
& ~ v1_xboole_0(X3)
& ~ v1_xboole_0(X2)
& ~ v1_xboole_0(X1) )
=> ( r4_nattra_1(X1,X2,X3,X4,X5,X6)
<=> X5 = X6 ) ),
inference(fof_simplification,[status(thm)],[redefinition_r4_nattra_1]) ).
fof(c_0_20,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_21,plain,
! [X1] :
( l1_cat_1(X1)
=> ~ v1_xboole_0(u1_cat_1(X1)) ),
inference(fof_simplification,[status(thm)],[dt_u1_cat_1]) ).
fof(c_0_22,plain,
! [X60,X61,X62,X63,X64] :
( ( ~ m2_cat_1(X63,X60,X61)
| ~ m2_cat_1(X62,X60,X61)
| ~ l1_cat_1(X61)
| ~ v2_cat_1(X61)
| ~ l1_cat_1(X60)
| ~ v2_cat_1(X60)
| ~ m1_nattra_1(X64,X60,X61,X62,X63)
| m2_relset_1(X64,u1_cat_1(X60),u2_cat_1(X61)) )
& ( ~ m2_cat_1(X63,X60,X61)
| ~ m2_cat_1(X62,X60,X61)
| ~ l1_cat_1(X61)
| ~ v2_cat_1(X61)
| ~ l1_cat_1(X60)
| ~ v2_cat_1(X60)
| ~ m1_nattra_1(X64,X60,X61,X62,X63)
| v1_funct_2(X64,u1_cat_1(X60),u2_cat_1(X61)) )
& ( ~ m2_cat_1(X63,X60,X61)
| ~ m2_cat_1(X62,X60,X61)
| ~ l1_cat_1(X61)
| ~ v2_cat_1(X61)
| ~ l1_cat_1(X60)
| ~ v2_cat_1(X60)
| ~ m1_nattra_1(X64,X60,X61,X62,X63)
| v1_funct_1(X64) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_nattra_1])])])])]) ).
fof(c_0_23,plain,
! [X131,X132,X133,X134,X135] :
( m1_nattra_1(X135,X131,X132,X133,X134)
| ~ m2_nattra_1(X135,X131,X132,X133,X134)
| ~ m2_cat_1(X134,X131,X132)
| ~ m2_cat_1(X133,X131,X132)
| ~ l1_cat_1(X132)
| ~ v2_cat_1(X132)
| ~ l1_cat_1(X131)
| ~ v2_cat_1(X131) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_nattra_1])])])]) ).
fof(c_0_24,plain,
! [X24,X25,X26,X27,X28,X29] :
( ( ~ m1_relset_1(X29,X26,X27)
| ~ v1_funct_2(X29,X26,X27)
| ~ v1_funct_1(X29)
| ~ m1_relset_1(X28,X24,X25)
| ~ v1_funct_2(X28,X24,X25)
| ~ v1_funct_1(X28)
| v1_xboole_0(X27)
| v1_xboole_0(X26)
| v1_xboole_0(X25)
| v1_xboole_0(X24)
| r4_nattra_1(X24,X25,X26,X27,X28,X29)
| X28 != X29 )
& ( ~ m1_relset_1(X29,X26,X27)
| ~ v1_funct_2(X29,X26,X27)
| ~ v1_funct_1(X29)
| ~ m1_relset_1(X28,X24,X25)
| ~ v1_funct_2(X28,X24,X25)
| ~ v1_funct_1(X28)
| v1_xboole_0(X27)
| v1_xboole_0(X26)
| v1_xboole_0(X25)
| v1_xboole_0(X24)
| X28 = X29
| ~ r4_nattra_1(X24,X25,X26,X27,X28,X29) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).
fof(c_0_25,plain,
! [X30,X31,X32,X33,X34] :
( r4_nattra_1(u1_cat_1(X30),u2_cat_1(X32),u1_cat_1(X30),u2_cat_1(X32),k6_isocat_1(X30,X31,X32,X33,X33,k7_nattra_1(X30,X31,X33),X34),k7_nattra_1(X30,X32,k2_isocat_1(X30,X31,X32,X33,X34)))
| ~ m2_cat_1(X34,X31,X32)
| ~ m2_cat_1(X33,X30,X31)
| ~ l1_cat_1(X32)
| ~ v2_cat_1(X32)
| ~ l1_cat_1(X31)
| ~ v2_cat_1(X31)
| ~ l1_cat_1(X30)
| ~ v2_cat_1(X30) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t38_isocat_1])])])]) ).
fof(c_0_26,plain,
! [X68] :
( ~ v1_xboole_0(u2_cat_1(X68))
| ~ l1_cat_1(X68) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
fof(c_0_27,plain,
! [X69] :
( ~ v1_xboole_0(u1_cat_1(X69))
| ~ l1_cat_1(X69) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
cnf(c_0_28,plain,
( ~ 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)
| ~ m1_nattra_1(X1,X2,X3,X4,X5)
| v1_funct_2(X1,u1_cat_1(X2),u2_cat_1(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,plain,
( ~ m2_nattra_1(X5,X1,X2,X3,X4)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X3,X1,X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| m1_nattra_1(X5,X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_30,plain,
! [X109,X110,X111,X112,X113,X114,X115] :
( m2_nattra_1(k6_isocat_1(X109,X110,X111,X112,X113,X114,X115),X109,X111,k2_isocat_1(X109,X110,X111,X112,X115),k2_isocat_1(X109,X110,X111,X113,X115))
| ~ m2_cat_1(X115,X110,X111)
| ~ m2_nattra_1(X114,X109,X110,X112,X113)
| ~ m2_cat_1(X113,X109,X110)
| ~ m2_cat_1(X112,X109,X110)
| ~ l1_cat_1(X111)
| ~ v2_cat_1(X111)
| ~ l1_cat_1(X110)
| ~ v2_cat_1(X110)
| ~ l1_cat_1(X109)
| ~ v2_cat_1(X109) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_isocat_1])])]) ).
fof(c_0_31,plain,
! [X104,X105,X106,X107,X108] :
( m2_cat_1(k2_isocat_1(X104,X105,X106,X107,X108),X104,X106)
| ~ m2_cat_1(X108,X105,X106)
| ~ m2_cat_1(X107,X104,X105)
| ~ l1_cat_1(X106)
| ~ v2_cat_1(X106)
| ~ l1_cat_1(X105)
| ~ v2_cat_1(X105)
| ~ l1_cat_1(X104)
| ~ v2_cat_1(X104) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_isocat_1])])]) ).
cnf(c_0_32,plain,
( ~ 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)
| ~ m1_nattra_1(X1,X2,X3,X4,X5)
| m2_relset_1(X1,u1_cat_1(X2),u2_cat_1(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33,plain,
( ~ 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)
| ~ 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)
| X5 = X6 ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_34,plain,
( ~ 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)
| 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))) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,plain,
( ~ v1_xboole_0(u2_cat_1(X1))
| ~ l1_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_36,plain,
( ~ v1_xboole_0(u1_cat_1(X1))
| ~ l1_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_37,plain,
( ~ v2_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X2,X3)
| ~ m2_cat_1(X5,X2,X3)
| ~ m2_nattra_1(X1,X2,X3,X4,X5)
| v1_funct_2(X1,u1_cat_1(X2),u2_cat_1(X3)) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_38,plain,
( ~ 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)
| 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)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_39,plain,
( ~ 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)
| m2_cat_1(k2_isocat_1(X1,X2,X3,X4,X5),X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_40,plain,
! [X47,X48,X49] :
( m2_nattra_1(k7_nattra_1(X47,X48,X49),X47,X48,X49,X49)
| ~ m2_cat_1(X49,X47,X48)
| ~ l1_cat_1(X48)
| ~ v2_cat_1(X48)
| ~ l1_cat_1(X47)
| ~ v2_cat_1(X47) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_nattra_1])])]) ).
fof(c_0_41,plain,
! [X97,X98,X99] :
( ( m2_relset_1(X99,X97,X98)
| ~ m1_relset_1(X99,X97,X98) )
& ( m1_relset_1(X99,X97,X98)
| ~ m2_relset_1(X99,X97,X98) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
cnf(c_0_42,plain,
( ~ v2_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X2,X3)
| ~ m2_cat_1(X5,X2,X3)
| ~ m2_nattra_1(X1,X2,X3,X4,X5)
| m2_relset_1(X1,u1_cat_1(X2),u2_cat_1(X3)) ),
inference(spm,[status(thm)],[c_0_32,c_0_29]) ).
cnf(c_0_43,plain,
( ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X5,X2,X3)
| ~ v1_funct_1(k7_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X5)))
| ~ v1_funct_1(k6_isocat_1(X1,X2,X3,X4,X4,k7_nattra_1(X1,X2,X4),X5))
| ~ 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_2(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))
| ~ 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))
| 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)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_36]) ).
cnf(c_0_44,plain,
( ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X7,X2,X3)
| ~ m2_nattra_1(X6,X1,X2,X4,X5)
| v1_funct_2(k6_isocat_1(X1,X2,X3,X4,X5,X6,X7),u1_cat_1(X1),u2_cat_1(X3)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_39]) ).
cnf(c_0_45,plain,
( ~ m2_cat_1(X3,X1,X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| m2_nattra_1(k7_nattra_1(X1,X2,X3),X1,X2,X3,X3) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_46,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_47,plain,
( ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X7,X2,X3)
| ~ m2_nattra_1(X6,X1,X2,X4,X5)
| m2_relset_1(k6_isocat_1(X1,X2,X3,X4,X5,X6,X7),u1_cat_1(X1),u2_cat_1(X3)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_38]),c_0_39]),c_0_39]) ).
cnf(c_0_48,plain,
( ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X5,X2,X3)
| ~ v1_funct_1(k7_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X5)))
| ~ v1_funct_1(k6_isocat_1(X1,X2,X3,X4,X4,k7_nattra_1(X1,X2,X4),X5))
| ~ v1_funct_2(k7_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,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))
| ~ 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))
| 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)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).
cnf(c_0_49,plain,
( ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X7,X2,X3)
| ~ m2_nattra_1(X6,X1,X2,X4,X5)
| m1_relset_1(k6_isocat_1(X1,X2,X3,X4,X5,X6,X7),u1_cat_1(X1),u2_cat_1(X3)) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_50,plain,
( ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X5,X2,X3)
| ~ v1_funct_1(k7_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X5)))
| ~ v1_funct_1(k6_isocat_1(X1,X2,X3,X4,X4,k7_nattra_1(X1,X2,X4),X5))
| ~ v1_funct_2(k7_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,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))
| 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)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_45]) ).
cnf(c_0_51,plain,
( ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X1,X2)
| v1_funct_2(k7_nattra_1(X1,X2,X3),u1_cat_1(X1),u2_cat_1(X2)) ),
inference(spm,[status(thm)],[c_0_37,c_0_45]) ).
cnf(c_0_52,plain,
( ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X1,X2)
| m2_relset_1(k7_nattra_1(X1,X2,X3),u1_cat_1(X1),u2_cat_1(X2)) ),
inference(spm,[status(thm)],[c_0_42,c_0_45]) ).
cnf(c_0_53,plain,
( ~ 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)
| ~ m1_nattra_1(X1,X2,X3,X4,X5)
| v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_54,plain,
( ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X5,X2,X3)
| ~ v1_funct_1(k7_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X5)))
| ~ v1_funct_1(k6_isocat_1(X1,X2,X3,X4,X4,k7_nattra_1(X1,X2,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))
| 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)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_39]) ).
cnf(c_0_55,plain,
( ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X1,X2)
| m1_relset_1(k7_nattra_1(X1,X2,X3),u1_cat_1(X1),u2_cat_1(X2)) ),
inference(spm,[status(thm)],[c_0_46,c_0_52]) ).
cnf(c_0_56,plain,
( ~ v2_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X2,X3)
| ~ m2_cat_1(X5,X2,X3)
| ~ m2_nattra_1(X1,X2,X3,X4,X5)
| v1_funct_1(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_29]) ).
cnf(c_0_57,plain,
( ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X5,X2,X3)
| ~ v1_funct_1(k7_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X5)))
| ~ v1_funct_1(k6_isocat_1(X1,X2,X3,X4,X4,k7_nattra_1(X1,X2,X4),X5))
| 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)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_39]) ).
cnf(c_0_58,plain,
( ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X7,X2,X3)
| ~ m2_nattra_1(X6,X1,X2,X4,X5)
| v1_funct_1(k6_isocat_1(X1,X2,X3,X4,X5,X6,X7)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_38]),c_0_39]),c_0_39]) ).
cnf(c_0_59,plain,
( ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X5,X2,X3)
| ~ v1_funct_1(k7_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X5)))
| 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)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_45]) ).
cnf(c_0_60,plain,
( ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X1,X2)
| v1_funct_1(k7_nattra_1(X1,X2,X3)) ),
inference(spm,[status(thm)],[c_0_56,c_0_45]) ).
cnf(c_0_61,plain,
( ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X5,X2,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)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_39]) ).
fof(c_0_62,plain,
! [X56,X57,X58,X59] :
( k12_isocat_2(X56,X57,X58,X59) = k2_isocat_1(X56,k11_cat_2(X57,X58),X58,X59,k9_isocat_2(X57,X58))
| ~ m2_cat_1(X59,X56,k11_cat_2(X57,X58))
| ~ l1_cat_1(X58)
| ~ v2_cat_1(X58)
| ~ l1_cat_1(X57)
| ~ v2_cat_1(X57)
| ~ l1_cat_1(X56)
| ~ v2_cat_1(X56) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_isocat_2])])])]) ).
fof(c_0_63,plain,
! [X50,X51] :
( ( ~ l1_cat_1(X51)
| ~ v2_cat_1(X51)
| ~ l1_cat_1(X50)
| ~ v2_cat_1(X50)
| l1_cat_1(k11_cat_2(X50,X51)) )
& ( ~ l1_cat_1(X51)
| ~ v2_cat_1(X51)
| ~ l1_cat_1(X50)
| ~ v2_cat_1(X50)
| v2_cat_1(k11_cat_2(X50,X51)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k11_cat_2])])])]) ).
fof(c_0_64,plain,
! [X121,X122] :
( m2_cat_1(k9_isocat_2(X121,X122),k11_cat_2(X121,X122),X122)
| ~ l1_cat_1(X122)
| ~ v2_cat_1(X122)
| ~ l1_cat_1(X121)
| ~ v2_cat_1(X121) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k9_isocat_2])])]) ).
cnf(c_0_65,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X1,X3)
| ~ m2_cat_1(X5,X3,X2)
| m2_relset_1(k7_nattra_1(X1,X2,k2_isocat_1(X1,X3,X2,X4,X5)),u1_cat_1(X1),u2_cat_1(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_61]),c_0_45]) ).
fof(c_0_66,plain,
! [X41,X42,X43,X44,X45,X46] :
( k14_isocat_2(X41,X42,X43,X44,X45,X46) = k6_isocat_1(X41,k11_cat_2(X42,X43),X43,X44,X45,X46,k9_isocat_2(X42,X43))
| ~ m2_nattra_1(X46,X41,k11_cat_2(X42,X43),X44,X45)
| ~ m2_cat_1(X45,X41,k11_cat_2(X42,X43))
| ~ m2_cat_1(X44,X41,k11_cat_2(X42,X43))
| ~ l1_cat_1(X43)
| ~ v2_cat_1(X43)
| ~ l1_cat_1(X42)
| ~ v2_cat_1(X42)
| ~ l1_cat_1(X41)
| ~ v2_cat_1(X41) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_isocat_2])])])]) ).
fof(c_0_67,plain,
! [X1,X2,X3,X4,X5,X6] :
( ( 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)
& ~ v1_xboole_0(X4)
& ~ v1_xboole_0(X3)
& ~ v1_xboole_0(X2)
& ~ v1_xboole_0(X1) )
=> ( r4_nattra_1(X1,X2,X3,X4,X5,X6)
=> r4_nattra_1(X1,X2,X3,X4,X6,X5) ) ),
inference(fof_simplification,[status(thm)],[symmetry_r4_nattra_1]) ).
cnf(c_0_68,plain,
( ~ 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)
| k12_isocat_2(X1,X2,X3,X4) = k2_isocat_1(X1,k11_cat_2(X2,X3),X3,X4,k9_isocat_2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_69,plain,
( ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| v2_cat_1(k11_cat_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_70,plain,
( ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| l1_cat_1(k11_cat_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_71,plain,
( ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| m2_cat_1(k9_isocat_2(X1,X2),k11_cat_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_72,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X1,X3)
| ~ m2_cat_1(X5,X3,X2)
| v1_funct_1(k7_nattra_1(X1,X2,k2_isocat_1(X1,X3,X2,X4,X5))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_61]),c_0_45]) ).
cnf(c_0_73,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X1,X3)
| ~ m2_cat_1(X5,X3,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)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_61]),c_0_45]) ).
cnf(c_0_74,plain,
( ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X5,X2,X3)
| m2_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)) ),
inference(spm,[status(thm)],[c_0_65,c_0_61]) ).
cnf(c_0_75,plain,
( ~ 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)
| 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)) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
fof(c_0_76,plain,
! [X86,X87,X88,X89] :
( k11_isocat_2(X86,X87,X88,X89) = k2_isocat_1(X86,k11_cat_2(X87,X88),X87,X89,k8_isocat_2(X87,X88))
| ~ m2_cat_1(X89,X86,k11_cat_2(X87,X88))
| ~ l1_cat_1(X88)
| ~ v2_cat_1(X88)
| ~ l1_cat_1(X87)
| ~ v2_cat_1(X87)
| ~ l1_cat_1(X86)
| ~ v2_cat_1(X86) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d7_isocat_2])])])]) ).
fof(c_0_77,plain,
! [X136,X137] :
( m2_cat_1(k8_isocat_2(X136,X137),k11_cat_2(X136,X137),X136)
| ~ l1_cat_1(X137)
| ~ v2_cat_1(X137)
| ~ l1_cat_1(X136)
| ~ v2_cat_1(X136) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_isocat_2])])]) ).
fof(c_0_78,plain,
! [X76,X77,X78,X79,X80,X81] :
( k13_isocat_2(X76,X77,X78,X79,X80,X81) = k6_isocat_1(X76,k11_cat_2(X77,X78),X77,X79,X80,X81,k8_isocat_2(X77,X78))
| ~ m2_nattra_1(X81,X76,k11_cat_2(X77,X78),X79,X80)
| ~ m2_cat_1(X80,X76,k11_cat_2(X77,X78))
| ~ m2_cat_1(X79,X76,k11_cat_2(X77,X78))
| ~ l1_cat_1(X78)
| ~ v2_cat_1(X78)
| ~ l1_cat_1(X77)
| ~ v2_cat_1(X77)
| ~ l1_cat_1(X76)
| ~ v2_cat_1(X76) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d9_isocat_2])])])]) ).
fof(c_0_79,negated_conjecture,
~ ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> ! [X3] :
( ( l1_cat_1(X3)
& v2_cat_1(X3) )
=> ! [X4] :
( m2_cat_1(X4,X1,k11_cat_2(X2,X3))
=> ( 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)))
& 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))) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t40_isocat_2]) ).
fof(c_0_80,plain,
! [X12,X13,X14,X15,X16,X17] :
( r4_nattra_1(X12,X13,X14,X15,X17,X16)
| ~ r4_nattra_1(X12,X13,X14,X15,X16,X17)
| ~ m1_relset_1(X17,X14,X15)
| ~ v1_funct_2(X17,X14,X15)
| ~ v1_funct_1(X17)
| ~ m1_relset_1(X16,X12,X13)
| ~ v1_funct_2(X16,X12,X13)
| ~ v1_funct_1(X16)
| v1_xboole_0(X15)
| v1_xboole_0(X14)
| v1_xboole_0(X13)
| v1_xboole_0(X12) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])]) ).
cnf(c_0_81,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X1,k11_cat_2(X3,X2))
| r4_nattra_1(u1_cat_1(X1),u2_cat_1(X2),u1_cat_1(X1),u2_cat_1(X2),k6_isocat_1(X1,k11_cat_2(X3,X2),X2,X4,X4,k7_nattra_1(X1,k11_cat_2(X3,X2),X4),k9_isocat_2(X3,X2)),k7_nattra_1(X1,X2,k12_isocat_2(X1,X3,X2,X4))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_68]),c_0_69]),c_0_70]),c_0_71]) ).
cnf(c_0_82,plain,
( ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X5,X2,X3)
| v1_funct_1(k6_isocat_1(X1,X2,X3,X4,X4,k7_nattra_1(X1,X2,X4),X5)) ),
inference(spm,[status(thm)],[c_0_72,c_0_61]) ).
cnf(c_0_83,plain,
( ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X5,X2,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)) ),
inference(spm,[status(thm)],[c_0_73,c_0_61]) ).
cnf(c_0_84,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X1,k11_cat_2(X3,X2))
| m2_relset_1(k7_nattra_1(X1,X2,k12_isocat_2(X1,X3,X2,X4)),u1_cat_1(X1),u2_cat_1(X2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_68]),c_0_69]),c_0_70]),c_0_71]) ).
cnf(c_0_85,plain,
( ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ m2_nattra_1(k7_nattra_1(X1,k11_cat_2(X2,X3),X4),X1,k11_cat_2(X2,X3),X4,X4)
| m2_relset_1(k14_isocat_2(X1,X2,X3,X4,X4,k7_nattra_1(X1,k11_cat_2(X2,X3),X4)),u1_cat_1(X1),u2_cat_1(X3)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_69]),c_0_70]),c_0_71]) ).
cnf(c_0_86,plain,
( ~ 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)
| k11_isocat_2(X1,X2,X3,X4) = k2_isocat_1(X1,k11_cat_2(X2,X3),X2,X4,k8_isocat_2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_87,plain,
( ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| m2_cat_1(k8_isocat_2(X1,X2),k11_cat_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_88,plain,
( ~ 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)
| 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)) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
fof(c_0_89,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))) )
& m2_cat_1(esk4_0,esk1_0,k11_cat_2(esk2_0,esk3_0))
& l1_cat_1(esk3_0)
& v2_cat_1(esk3_0)
& l1_cat_1(esk2_0)
& v2_cat_1(esk2_0)
& l1_cat_1(esk1_0)
& v2_cat_1(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_79])])])]) ).
cnf(c_0_90,plain,
( ~ r4_nattra_1(X1,X2,X3,X4,X5,X6)
| ~ 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)
| r4_nattra_1(X1,X2,X3,X4,X6,X5)
| v1_xboole_0(X4)
| v1_xboole_0(X3)
| v1_xboole_0(X2)
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_91,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X1,k11_cat_2(X3,X2))
| ~ m2_nattra_1(k7_nattra_1(X1,k11_cat_2(X3,X2),X4),X1,k11_cat_2(X3,X2),X4,X4)
| r4_nattra_1(u1_cat_1(X1),u2_cat_1(X2),u1_cat_1(X1),u2_cat_1(X2),k14_isocat_2(X1,X3,X2,X4,X4,k7_nattra_1(X1,k11_cat_2(X3,X2),X4)),k7_nattra_1(X1,X2,k12_isocat_2(X1,X3,X2,X4))) ),
inference(spm,[status(thm)],[c_0_81,c_0_75]) ).
cnf(c_0_92,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X1,k11_cat_2(X3,X2))
| v1_funct_1(k7_nattra_1(X1,X2,k12_isocat_2(X1,X3,X2,X4))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_68]),c_0_69]),c_0_70]),c_0_71]) ).
cnf(c_0_93,plain,
( ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ m2_nattra_1(k7_nattra_1(X1,k11_cat_2(X2,X3),X4),X1,k11_cat_2(X2,X3),X4,X4)
| v1_funct_1(k14_isocat_2(X1,X2,X3,X4,X4,k7_nattra_1(X1,k11_cat_2(X2,X3),X4))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_75]),c_0_69]),c_0_70]),c_0_71]) ).
cnf(c_0_94,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X1,k11_cat_2(X3,X2))
| v1_funct_2(k7_nattra_1(X1,X2,k12_isocat_2(X1,X3,X2,X4)),u1_cat_1(X1),u2_cat_1(X2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_68]),c_0_69]),c_0_70]),c_0_71]) ).
cnf(c_0_95,plain,
( ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ m2_nattra_1(k7_nattra_1(X1,k11_cat_2(X2,X3),X4),X1,k11_cat_2(X2,X3),X4,X4)
| v1_funct_2(k14_isocat_2(X1,X2,X3,X4,X4,k7_nattra_1(X1,k11_cat_2(X2,X3),X4)),u1_cat_1(X1),u2_cat_1(X3)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_75]),c_0_69]),c_0_70]),c_0_71]) ).
cnf(c_0_96,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X1,k11_cat_2(X3,X2))
| m1_relset_1(k7_nattra_1(X1,X2,k12_isocat_2(X1,X3,X2,X4)),u1_cat_1(X1),u2_cat_1(X2)) ),
inference(spm,[status(thm)],[c_0_46,c_0_84]) ).
cnf(c_0_97,plain,
( ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ m2_nattra_1(k7_nattra_1(X1,k11_cat_2(X2,X3),X4),X1,k11_cat_2(X2,X3),X4,X4)
| m1_relset_1(k14_isocat_2(X1,X2,X3,X4,X4,k7_nattra_1(X1,k11_cat_2(X2,X3),X4)),u1_cat_1(X1),u2_cat_1(X3)) ),
inference(spm,[status(thm)],[c_0_46,c_0_85]) ).
cnf(c_0_98,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ 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),k6_isocat_1(X1,k11_cat_2(X2,X3),X2,X4,X4,k7_nattra_1(X1,k11_cat_2(X2,X3),X4),k8_isocat_2(X2,X3)),k7_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_86]),c_0_69]),c_0_70]),c_0_87]) ).
cnf(c_0_99,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| m2_relset_1(k7_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4)),u1_cat_1(X1),u2_cat_1(X2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_86]),c_0_69]),c_0_70]),c_0_87]) ).
cnf(c_0_100,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ m2_nattra_1(k7_nattra_1(X1,k11_cat_2(X2,X3),X4),X1,k11_cat_2(X2,X3),X4,X4)
| m2_relset_1(k13_isocat_2(X1,X2,X3,X4,X4,k7_nattra_1(X1,k11_cat_2(X2,X3),X4)),u1_cat_1(X1),u2_cat_1(X2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_88]),c_0_69]),c_0_70]),c_0_87]) ).
cnf(c_0_101,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_89]) ).
cnf(c_0_102,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X1,k11_cat_2(X3,X2))
| ~ m2_nattra_1(k7_nattra_1(X1,k11_cat_2(X3,X2),X4),X1,k11_cat_2(X3,X2),X4,X4)
| 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)),k14_isocat_2(X1,X3,X2,X4,X4,k7_nattra_1(X1,k11_cat_2(X3,X2),X4))) ),
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(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96]),c_0_97]),c_0_35]),c_0_36]) ).
cnf(c_0_103,negated_conjecture,
m2_cat_1(esk4_0,esk1_0,k11_cat_2(esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_104,negated_conjecture,
l1_cat_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_105,negated_conjecture,
l1_cat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_106,negated_conjecture,
l1_cat_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_107,negated_conjecture,
v2_cat_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_108,negated_conjecture,
v2_cat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_109,negated_conjecture,
v2_cat_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_110,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ m2_nattra_1(k7_nattra_1(X1,k11_cat_2(X2,X3),X4),X1,k11_cat_2(X2,X3),X4,X4)
| r4_nattra_1(u1_cat_1(X1),u2_cat_1(X2),u1_cat_1(X1),u2_cat_1(X2),k13_isocat_2(X1,X2,X3,X4,X4,k7_nattra_1(X1,k11_cat_2(X2,X3),X4)),k7_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4))) ),
inference(spm,[status(thm)],[c_0_98,c_0_88]) ).
cnf(c_0_111,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| v1_funct_1(k7_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_86]),c_0_69]),c_0_70]),c_0_87]) ).
cnf(c_0_112,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ m2_nattra_1(k7_nattra_1(X1,k11_cat_2(X2,X3),X4),X1,k11_cat_2(X2,X3),X4,X4)
| v1_funct_1(k13_isocat_2(X1,X2,X3,X4,X4,k7_nattra_1(X1,k11_cat_2(X2,X3),X4))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_88]),c_0_69]),c_0_70]),c_0_87]) ).
cnf(c_0_113,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| v1_funct_2(k7_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4)),u1_cat_1(X1),u2_cat_1(X2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_86]),c_0_69]),c_0_70]),c_0_87]) ).
cnf(c_0_114,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ m2_nattra_1(k7_nattra_1(X1,k11_cat_2(X2,X3),X4),X1,k11_cat_2(X2,X3),X4,X4)
| v1_funct_2(k13_isocat_2(X1,X2,X3,X4,X4,k7_nattra_1(X1,k11_cat_2(X2,X3),X4)),u1_cat_1(X1),u2_cat_1(X2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_88]),c_0_69]),c_0_70]),c_0_87]) ).
cnf(c_0_115,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| m1_relset_1(k7_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4)),u1_cat_1(X1),u2_cat_1(X2)) ),
inference(spm,[status(thm)],[c_0_46,c_0_99]) ).
cnf(c_0_116,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ m2_nattra_1(k7_nattra_1(X1,k11_cat_2(X2,X3),X4),X1,k11_cat_2(X2,X3),X4,X4)
| m1_relset_1(k13_isocat_2(X1,X2,X3,X4,X4,k7_nattra_1(X1,k11_cat_2(X2,X3),X4)),u1_cat_1(X1),u2_cat_1(X2)) ),
inference(spm,[status(thm)],[c_0_46,c_0_100]) ).
cnf(c_0_117,negated_conjecture,
( ~ 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)))
| ~ 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) ),
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_101,c_0_102]),c_0_103]),c_0_104]),c_0_105]),c_0_106]),c_0_107]),c_0_108]),c_0_109])]) ).
cnf(c_0_118,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ m2_nattra_1(k7_nattra_1(X1,k11_cat_2(X2,X3),X4),X1,k11_cat_2(X2,X3),X4,X4)
| 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))) ),
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(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_110]),c_0_111]),c_0_112]),c_0_113]),c_0_114]),c_0_115]),c_0_116]),c_0_35]),c_0_36]) ).
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),
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_103]),c_0_106]),c_0_105]),c_0_104]),c_0_109]),c_0_108]),c_0_107])]) ).
cnf(c_0_120,negated_conjecture,
( ~ v2_cat_1(k11_cat_2(esk2_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(spm,[status(thm)],[c_0_119,c_0_45]),c_0_103]),c_0_105]),c_0_108])]) ).
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_69]),c_0_104]),c_0_106]),c_0_107]),c_0_109])]) ).
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_70]),c_0_104]),c_0_106]),c_0_107]),c_0_109])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CAT027+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.67 % Computer : n003.cluster.edu
% 0.19/0.67 % Model : x86_64 x86_64
% 0.19/0.67 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.67 % Memory : 8046.5625MB
% 0.19/0.67 % OS : Linux 6.8.0-71-generic
% 0.19/0.67 % CPULimit : 300
% 0.19/0.67 % WCLimit : 300
% 0.19/0.67 % DateTime : Mon Sep 21 14:00:47 UTC 2026
% 0.19/0.67 % CPUTime :
% 0.19/0.67 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.74 Running first-order theorem proving
% 0.24/0.74 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.97 % Version: 3.5.1
% 0.24/0.97 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.24/0.97 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.97 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.24/0.97 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.97 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.97 % Starting sh5l with 300s (1) cores
% 0.24/0.97 % new_bool_3 with pid 283452 completed with status 0
% 0.24/0.97 % Result found by new_bool_3
% 0.24/0.97 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.24/0.97 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.97 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.24/0.97 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.97 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.24/0.97 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.24/0.97 % Search class: FGHSS-FFMM33-MFFFFFNN
% 0.24/0.97 % partial match(1): FGHSF-FFMM33-MFFFFFNN
% 0.24/0.97 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.97 % Starting SubtermCWHack with 31s (1) cores
% 0.24/0.97 % SubtermCWHack with pid 283460 completed with status 0
% 0.24/0.97 % Result found by SubtermCWHack
% 0.24/0.97 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.24/0.97 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.97 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.24/0.97 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.97 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.24/0.97 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.24/0.97 % Search class: FGHSS-FFMM33-MFFFFFNN
% 0.24/0.97 % partial match(1): FGHSF-FFMM33-MFFFFFNN
% 0.24/0.97 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.97 % Starting SubtermCWHack with 31s (1) cores
% 0.24/0.97 % Preprocessing time : 0.003 s
% 0.24/0.97
% 0.24/0.97 % Proof found!
% 0.24/0.97 % SZS status Theorem
% 0.24/0.97 % SZS output start CNFRefutation
% See solution above
% 0.24/0.98 % Parsed axioms : 65
% 0.24/0.98 % Removed by relevancy pruning/SinE : 31
% 0.24/0.98 % Initial clauses : 48
% 0.24/0.98 % Removed in clause preprocessing : 0
% 0.24/0.98 % Initial clauses in saturation : 48
% 0.24/0.98 % Processed clauses : 334
% 0.24/0.98 % ...of these trivial : 0
% 0.24/0.98 % ...subsumed : 150
% 0.24/0.98 % ...remaining for further processing : 184
% 0.24/0.98 % Other redundant clauses eliminated : 1
% 0.24/0.98 % Clauses deleted for lack of memory : 0
% 0.24/0.98 % Backward-subsumed : 11
% 0.24/0.98 % Backward-rewritten : 0
% 0.24/0.98 % Generated clauses : 442
% 0.24/0.98 % ...of the previous two non-redundant : 440
% 0.24/0.98 % ...aggressively subsumed : 0
% 0.24/0.98 % Contextual simplify-reflections : 204
% 0.24/0.98 % Paramodulations : 441
% 0.24/0.98 % Factorizations : 0
% 0.24/0.98 % NegExts : 0
% 0.24/0.98 % Equation resolutions : 1
% 0.24/0.98 % Disequality decompositions : 0
% 0.24/0.98 % Total rewrite steps : 38
% 0.24/0.98 % ...of those cached : 31
% 0.24/0.98 % Propositional unsat checks : 0
% 0.24/0.98 % Propositional check models : 0
% 0.24/0.98 % Propositional check unsatisfiable : 0
% 0.24/0.98 % Propositional clauses : 0
% 0.24/0.98 % Propositional clauses after purity: 0
% 0.24/0.98 % Propositional unsat core size : 0
% 0.24/0.98 % Propositional preprocessing time : 0.000
% 0.24/0.98 % Propositional encoding time : 0.000
% 0.24/0.98 % Propositional solver time : 0.000
% 0.24/0.98 % Success case prop preproc time : 0.000
% 0.24/0.98 % Success case prop encoding time : 0.000
% 0.24/0.98 % Success case prop solver time : 0.000
% 0.24/0.98 % Current number of processed clauses : 172
% 0.24/0.98 % Positive orientable unit clauses : 12
% 0.24/0.98 % Positive unorientable unit clauses: 0
% 0.24/0.98 % Negative unit clauses : 3
% 0.24/0.98 % Non-unit-clauses : 157
% 0.24/0.98 % Current number of unprocessed clauses: 140
% 0.24/0.98 % ...number of literals in the above : 1981
% 0.24/0.98 % Current number of archived formulas : 0
% 0.24/0.98 % Current number of archived clauses : 11
% 0.24/0.98 % Clause-clause subsumption calls (NU) : 31960
% 0.24/0.98 % Rec. Clause-clause subsumption calls : 1252
% 0.24/0.98 % Non-unit clause-clause subsumptions : 363
% 0.24/0.98 % Unit Clause-clause subsumption calls : 65
% 0.24/0.98 % Rewrite failures with RHS unbound : 0
% 0.24/0.98 % BW rewrite match attempts : 0
% 0.24/0.98 % BW rewrite match successes : 0
% 0.24/0.98 % Condensation attempts : 0
% 0.24/0.98 % Condensation successes : 0
% 0.24/0.98 % Termbank termtop insertions : 33169
% 0.24/0.98 % Search garbage collected termcells : 1622
% 0.24/0.98
% 0.24/0.98 % -------------------------------------------------
% 0.24/0.98 % User time : 0.114 s
% 0.24/0.98 % System time : 0.007 s
% 0.24/0.98 % Total time : 0.121 s
% 0.24/0.98 % Maximum resident set size: 3716 pages
% 0.24/0.98
% 0.24/0.98 % -------------------------------------------------
% 0.24/0.98 % User time : 0.119 s
% 0.24/0.98 % System time : 0.014 s
% 0.24/0.98 % Total time : 0.133 s
% 0.24/0.98 % Maximum resident set size: 4864 pages
% 0.24/0.98 % E exiting
%------------------------------------------------------------------------------