%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CAT028+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 : n013.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 0.62s 0.64s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 62 ( 16 unt; 0 def)
% Number of atoms : 476 ( 12 equ)
% Maximal formula atoms : 15 ( 7 avg)
% Number of connectives : 725 ( 311 ~; 304 |; 58 &)
% ( 0 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-6 aty)
% Number of functors : 20 ( 20 usr; 8 con; 0-7 aty)
% Number of variables : 240 ( 0 sgn 100 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t32_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,X2,X3)
=> ! [X5] :
( m2_cat_1(X5,X2,X3)
=> ! [X6] :
( m2_cat_1(X6,X2,X3)
=> ! [X7] :
( m2_cat_1(X7,X3,X1)
=> ! [X8] :
( m2_nattra_1(X8,X2,X3,X4,X5)
=> ! [X9] :
( m2_nattra_1(X9,X2,X3,X5,X6)
=> ( ( r2_nattra_1(X2,X3,X5,X6)
& r2_nattra_1(X2,X3,X4,X5) )
=> r4_nattra_1(u1_cat_1(X2),u2_cat_1(X1),u1_cat_1(X2),u2_cat_1(X1),k6_isocat_1(X2,X3,X1,X4,X6,k8_nattra_1(X2,X3,X4,X5,X6,X8,X9),X7),k8_nattra_1(X2,X1,k2_isocat_1(X2,X3,X1,X4,X7),k2_isocat_1(X2,X3,X1,X5,X7),k2_isocat_1(X2,X3,X1,X6,X7),k6_isocat_1(X2,X3,X1,X4,X5,X8,X7),k6_isocat_1(X2,X3,X1,X5,X6,X9,X7))) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_isocat_1) ).
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(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(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(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(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(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(t41_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))
=> ! [X5] :
( m2_cat_1(X5,X1,k11_cat_2(X2,X3))
=> ! [X6] :
( m2_cat_1(X6,X1,k11_cat_2(X2,X3))
=> ( ( r2_nattra_1(X1,k11_cat_2(X2,X3),X5,X6)
& r2_nattra_1(X1,k11_cat_2(X2,X3),X4,X5) )
=> ! [X7] :
( m2_nattra_1(X7,X1,k11_cat_2(X2,X3),X4,X5)
=> ! [X8] :
( m2_nattra_1(X8,X1,k11_cat_2(X2,X3),X5,X6)
=> ( r4_nattra_1(u1_cat_1(X1),u2_cat_1(X3),u1_cat_1(X1),u2_cat_1(X3),k14_isocat_2(X1,X2,X3,X4,X6,k8_nattra_1(X1,k11_cat_2(X2,X3),X4,X5,X6,X7,X8)),k8_nattra_1(X1,X3,k12_isocat_2(X1,X2,X3,X4),k12_isocat_2(X1,X2,X3,X5),k12_isocat_2(X1,X2,X3,X6),k14_isocat_2(X1,X2,X3,X4,X5,X7),k14_isocat_2(X1,X2,X3,X5,X6,X8)))
& 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,X6,k8_nattra_1(X1,k11_cat_2(X2,X3),X4,X5,X6,X7,X8)),k8_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4),k11_isocat_2(X1,X2,X3,X5),k11_isocat_2(X1,X2,X3,X6),k13_isocat_2(X1,X2,X3,X4,X5,X7),k13_isocat_2(X1,X2,X3,X5,X6,X8))) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t41_isocat_2) ).
fof(dt_k8_nattra_1,axiom,
! [X1,X2,X3,X4,X5,X6,X7] :
( ( m2_nattra_1(X7,X1,X2,X4,X5)
& m2_nattra_1(X6,X1,X2,X3,X4)
& m2_cat_1(X5,X1,X2)
& 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) )
=> m2_nattra_1(k8_nattra_1(X1,X2,X3,X4,X5,X6,X7),X1,X2,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_nattra_1) ).
fof(c_0_10,plain,
! [X43,X44,X45,X46,X47,X48,X49,X50,X51] :
( r4_nattra_1(u1_cat_1(X44),u2_cat_1(X43),u1_cat_1(X44),u2_cat_1(X43),k6_isocat_1(X44,X45,X43,X46,X48,k8_nattra_1(X44,X45,X46,X47,X48,X50,X51),X49),k8_nattra_1(X44,X43,k2_isocat_1(X44,X45,X43,X46,X49),k2_isocat_1(X44,X45,X43,X47,X49),k2_isocat_1(X44,X45,X43,X48,X49),k6_isocat_1(X44,X45,X43,X46,X47,X50,X49),k6_isocat_1(X44,X45,X43,X47,X48,X51,X49)))
| ~ r2_nattra_1(X44,X45,X47,X48)
| ~ r2_nattra_1(X44,X45,X46,X47)
| ~ m2_nattra_1(X51,X44,X45,X47,X48)
| ~ m2_nattra_1(X50,X44,X45,X46,X47)
| ~ m2_cat_1(X49,X45,X43)
| ~ m2_cat_1(X48,X44,X45)
| ~ m2_cat_1(X47,X44,X45)
| ~ m2_cat_1(X46,X44,X45)
| ~ l1_cat_1(X45)
| ~ v2_cat_1(X45)
| ~ l1_cat_1(X44)
| ~ v2_cat_1(X44)
| ~ l1_cat_1(X43)
| ~ v2_cat_1(X43) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t32_isocat_1])])])]) ).
fof(c_0_11,plain,
! [X58,X59,X60,X61,X62,X63] :
( k14_isocat_2(X58,X59,X60,X61,X62,X63) = k6_isocat_1(X58,k11_cat_2(X59,X60),X60,X61,X62,X63,k9_isocat_2(X59,X60))
| ~ m2_nattra_1(X63,X58,k11_cat_2(X59,X60),X61,X62)
| ~ m2_cat_1(X62,X58,k11_cat_2(X59,X60))
| ~ m2_cat_1(X61,X58,k11_cat_2(X59,X60))
| ~ l1_cat_1(X60)
| ~ v2_cat_1(X60)
| ~ l1_cat_1(X59)
| ~ v2_cat_1(X59)
| ~ l1_cat_1(X58)
| ~ v2_cat_1(X58) ),
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_12,plain,
! [X72,X73] :
( ( ~ l1_cat_1(X73)
| ~ v2_cat_1(X73)
| ~ l1_cat_1(X72)
| ~ v2_cat_1(X72)
| l1_cat_1(k11_cat_2(X72,X73)) )
& ( ~ l1_cat_1(X73)
| ~ v2_cat_1(X73)
| ~ l1_cat_1(X72)
| ~ v2_cat_1(X72)
| v2_cat_1(k11_cat_2(X72,X73)) ) ),
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_13,plain,
! [X139,X140] :
( m2_cat_1(k9_isocat_2(X139,X140),k11_cat_2(X139,X140),X140)
| ~ l1_cat_1(X140)
| ~ v2_cat_1(X140)
| ~ l1_cat_1(X139)
| ~ v2_cat_1(X139) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k9_isocat_2])])]) ).
cnf(c_0_14,plain,
( ~ r2_nattra_1(X2,X3,X5,X6)
| ~ r2_nattra_1(X2,X3,X4,X5)
| ~ m2_nattra_1(X9,X2,X3,X5,X6)
| ~ m2_nattra_1(X8,X2,X3,X4,X5)
| ~ m2_cat_1(X7,X3,X1)
| ~ m2_cat_1(X6,X2,X3)
| ~ 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)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| r4_nattra_1(u1_cat_1(X2),u2_cat_1(X1),u1_cat_1(X2),u2_cat_1(X1),k6_isocat_1(X2,X3,X1,X4,X6,k8_nattra_1(X2,X3,X4,X5,X6,X8,X9),X7),k8_nattra_1(X2,X1,k2_isocat_1(X2,X3,X1,X4,X7),k2_isocat_1(X2,X3,X1,X5,X7),k2_isocat_1(X2,X3,X1,X6,X7),k6_isocat_1(X2,X3,X1,X4,X5,X8,X7),k6_isocat_1(X2,X3,X1,X5,X6,X9,X7))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,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_11]) ).
cnf(c_0_16,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_12]) ).
cnf(c_0_17,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_12]) ).
cnf(c_0_18,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_13]) ).
fof(c_0_19,plain,
! [X90,X91,X92,X93,X94,X95] :
( k13_isocat_2(X90,X91,X92,X93,X94,X95) = k6_isocat_1(X90,k11_cat_2(X91,X92),X91,X93,X94,X95,k8_isocat_2(X91,X92))
| ~ m2_nattra_1(X95,X90,k11_cat_2(X91,X92),X93,X94)
| ~ m2_cat_1(X94,X90,k11_cat_2(X91,X92))
| ~ m2_cat_1(X93,X90,k11_cat_2(X91,X92))
| ~ l1_cat_1(X92)
| ~ v2_cat_1(X92)
| ~ l1_cat_1(X91)
| ~ v2_cat_1(X91)
| ~ l1_cat_1(X90)
| ~ v2_cat_1(X90) ),
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_20,plain,
! [X154,X155] :
( m2_cat_1(k8_isocat_2(X154,X155),k11_cat_2(X154,X155),X154)
| ~ l1_cat_1(X155)
| ~ v2_cat_1(X155)
| ~ l1_cat_1(X154)
| ~ v2_cat_1(X154) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_isocat_2])])]) ).
cnf(c_0_21,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X4,X1,k11_cat_2(X3,X2))
| ~ m2_cat_1(X6,X1,k11_cat_2(X3,X2))
| ~ m2_cat_1(X5,X1,k11_cat_2(X3,X2))
| ~ r2_nattra_1(X1,k11_cat_2(X3,X2),X4,X6)
| ~ r2_nattra_1(X1,k11_cat_2(X3,X2),X6,X5)
| ~ m2_nattra_1(X7,X1,k11_cat_2(X3,X2),X4,X6)
| ~ m2_nattra_1(X8,X1,k11_cat_2(X3,X2),X6,X5)
| 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,X5,k8_nattra_1(X1,k11_cat_2(X3,X2),X4,X6,X5,X7,X8),k9_isocat_2(X3,X2)),k8_nattra_1(X1,X2,k2_isocat_1(X1,k11_cat_2(X3,X2),X2,X4,k9_isocat_2(X3,X2)),k2_isocat_1(X1,k11_cat_2(X3,X2),X2,X6,k9_isocat_2(X3,X2)),k2_isocat_1(X1,k11_cat_2(X3,X2),X2,X5,k9_isocat_2(X3,X2)),k6_isocat_1(X1,k11_cat_2(X3,X2),X2,X4,X6,X7,k9_isocat_2(X3,X2)),k14_isocat_2(X1,X3,X2,X6,X5,X8))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17]),c_0_18]) ).
fof(c_0_22,plain,
! [X68,X69,X70,X71] :
( k12_isocat_2(X68,X69,X70,X71) = k2_isocat_1(X68,k11_cat_2(X69,X70),X70,X71,k9_isocat_2(X69,X70))
| ~ m2_cat_1(X71,X68,k11_cat_2(X69,X70))
| ~ l1_cat_1(X70)
| ~ v2_cat_1(X70)
| ~ l1_cat_1(X69)
| ~ v2_cat_1(X69)
| ~ l1_cat_1(X68)
| ~ v2_cat_1(X68) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_isocat_2])])])]) ).
cnf(c_0_23,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_19]) ).
cnf(c_0_24,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_20]) ).
cnf(c_0_25,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X4,X1,k11_cat_2(X3,X2))
| ~ m2_cat_1(X6,X1,k11_cat_2(X3,X2))
| ~ m2_cat_1(X5,X1,k11_cat_2(X3,X2))
| ~ r2_nattra_1(X1,k11_cat_2(X3,X2),X4,X6)
| ~ r2_nattra_1(X1,k11_cat_2(X3,X2),X6,X5)
| ~ m2_nattra_1(X7,X1,k11_cat_2(X3,X2),X4,X6)
| ~ m2_nattra_1(X8,X1,k11_cat_2(X3,X2),X6,X5)
| 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,X5,k8_nattra_1(X1,k11_cat_2(X3,X2),X4,X6,X5,X7,X8),k9_isocat_2(X3,X2)),k8_nattra_1(X1,X2,k2_isocat_1(X1,k11_cat_2(X3,X2),X2,X4,k9_isocat_2(X3,X2)),k2_isocat_1(X1,k11_cat_2(X3,X2),X2,X6,k9_isocat_2(X3,X2)),k2_isocat_1(X1,k11_cat_2(X3,X2),X2,X5,k9_isocat_2(X3,X2)),k14_isocat_2(X1,X3,X2,X4,X6,X7),k14_isocat_2(X1,X3,X2,X6,X5,X8))) ),
inference(spm,[status(thm)],[c_0_21,c_0_15]) ).
cnf(c_0_26,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_22]) ).
cnf(c_0_27,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X6,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X5,X1,k11_cat_2(X2,X3))
| ~ r2_nattra_1(X1,k11_cat_2(X2,X3),X4,X6)
| ~ r2_nattra_1(X1,k11_cat_2(X2,X3),X6,X5)
| ~ m2_nattra_1(X7,X1,k11_cat_2(X2,X3),X4,X6)
| ~ m2_nattra_1(X8,X1,k11_cat_2(X2,X3),X6,X5)
| 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,X5,k8_nattra_1(X1,k11_cat_2(X2,X3),X4,X6,X5,X7,X8),k8_isocat_2(X2,X3)),k8_nattra_1(X1,X2,k2_isocat_1(X1,k11_cat_2(X2,X3),X2,X4,k8_isocat_2(X2,X3)),k2_isocat_1(X1,k11_cat_2(X2,X3),X2,X6,k8_isocat_2(X2,X3)),k2_isocat_1(X1,k11_cat_2(X2,X3),X2,X5,k8_isocat_2(X2,X3)),k6_isocat_1(X1,k11_cat_2(X2,X3),X2,X4,X6,X7,k8_isocat_2(X2,X3)),k13_isocat_2(X1,X2,X3,X6,X5,X8))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_23]),c_0_16]),c_0_17]),c_0_24]) ).
fof(c_0_28,plain,
! [X100,X101,X102,X103] :
( k11_isocat_2(X100,X101,X102,X103) = k2_isocat_1(X100,k11_cat_2(X101,X102),X101,X103,k8_isocat_2(X101,X102))
| ~ m2_cat_1(X103,X100,k11_cat_2(X101,X102))
| ~ l1_cat_1(X102)
| ~ v2_cat_1(X102)
| ~ l1_cat_1(X101)
| ~ v2_cat_1(X101)
| ~ l1_cat_1(X100)
| ~ v2_cat_1(X100) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d7_isocat_2])])])]) ).
cnf(c_0_29,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X4,X1,k11_cat_2(X3,X2))
| ~ m2_cat_1(X6,X1,k11_cat_2(X3,X2))
| ~ m2_cat_1(X5,X1,k11_cat_2(X3,X2))
| ~ r2_nattra_1(X1,k11_cat_2(X3,X2),X4,X6)
| ~ r2_nattra_1(X1,k11_cat_2(X3,X2),X6,X5)
| ~ m2_nattra_1(X7,X1,k11_cat_2(X3,X2),X4,X6)
| ~ m2_nattra_1(X8,X1,k11_cat_2(X3,X2),X6,X5)
| 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,X5,k8_nattra_1(X1,k11_cat_2(X3,X2),X4,X6,X5,X7,X8),k9_isocat_2(X3,X2)),k8_nattra_1(X1,X2,k2_isocat_1(X1,k11_cat_2(X3,X2),X2,X4,k9_isocat_2(X3,X2)),k2_isocat_1(X1,k11_cat_2(X3,X2),X2,X6,k9_isocat_2(X3,X2)),k12_isocat_2(X1,X3,X2,X5),k14_isocat_2(X1,X3,X2,X4,X6,X7),k14_isocat_2(X1,X3,X2,X6,X5,X8))) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X6,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X5,X1,k11_cat_2(X2,X3))
| ~ r2_nattra_1(X1,k11_cat_2(X2,X3),X4,X6)
| ~ r2_nattra_1(X1,k11_cat_2(X2,X3),X6,X5)
| ~ m2_nattra_1(X7,X1,k11_cat_2(X2,X3),X4,X6)
| ~ m2_nattra_1(X8,X1,k11_cat_2(X2,X3),X6,X5)
| 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,X5,k8_nattra_1(X1,k11_cat_2(X2,X3),X4,X6,X5,X7,X8),k8_isocat_2(X2,X3)),k8_nattra_1(X1,X2,k2_isocat_1(X1,k11_cat_2(X2,X3),X2,X4,k8_isocat_2(X2,X3)),k2_isocat_1(X1,k11_cat_2(X2,X3),X2,X6,k8_isocat_2(X2,X3)),k2_isocat_1(X1,k11_cat_2(X2,X3),X2,X5,k8_isocat_2(X2,X3)),k13_isocat_2(X1,X2,X3,X4,X6,X7),k13_isocat_2(X1,X2,X3,X6,X5,X8))) ),
inference(spm,[status(thm)],[c_0_27,c_0_23]) ).
cnf(c_0_31,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_28]) ).
fof(c_0_32,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))
=> ! [X5] :
( m2_cat_1(X5,X1,k11_cat_2(X2,X3))
=> ! [X6] :
( m2_cat_1(X6,X1,k11_cat_2(X2,X3))
=> ( ( r2_nattra_1(X1,k11_cat_2(X2,X3),X5,X6)
& r2_nattra_1(X1,k11_cat_2(X2,X3),X4,X5) )
=> ! [X7] :
( m2_nattra_1(X7,X1,k11_cat_2(X2,X3),X4,X5)
=> ! [X8] :
( m2_nattra_1(X8,X1,k11_cat_2(X2,X3),X5,X6)
=> ( r4_nattra_1(u1_cat_1(X1),u2_cat_1(X3),u1_cat_1(X1),u2_cat_1(X3),k14_isocat_2(X1,X2,X3,X4,X6,k8_nattra_1(X1,k11_cat_2(X2,X3),X4,X5,X6,X7,X8)),k8_nattra_1(X1,X3,k12_isocat_2(X1,X2,X3,X4),k12_isocat_2(X1,X2,X3,X5),k12_isocat_2(X1,X2,X3,X6),k14_isocat_2(X1,X2,X3,X4,X5,X7),k14_isocat_2(X1,X2,X3,X5,X6,X8)))
& 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,X6,k8_nattra_1(X1,k11_cat_2(X2,X3),X4,X5,X6,X7,X8)),k8_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4),k11_isocat_2(X1,X2,X3,X5),k11_isocat_2(X1,X2,X3,X6),k13_isocat_2(X1,X2,X3,X4,X5,X7),k13_isocat_2(X1,X2,X3,X5,X6,X8))) ) ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t41_isocat_2]) ).
cnf(c_0_33,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X4,X1,k11_cat_2(X3,X2))
| ~ m2_cat_1(X6,X1,k11_cat_2(X3,X2))
| ~ m2_cat_1(X5,X1,k11_cat_2(X3,X2))
| ~ r2_nattra_1(X1,k11_cat_2(X3,X2),X4,X6)
| ~ r2_nattra_1(X1,k11_cat_2(X3,X2),X6,X5)
| ~ m2_nattra_1(X7,X1,k11_cat_2(X3,X2),X4,X6)
| ~ m2_nattra_1(X8,X1,k11_cat_2(X3,X2),X6,X5)
| 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,X5,k8_nattra_1(X1,k11_cat_2(X3,X2),X4,X6,X5,X7,X8),k9_isocat_2(X3,X2)),k8_nattra_1(X1,X2,k2_isocat_1(X1,k11_cat_2(X3,X2),X2,X4,k9_isocat_2(X3,X2)),k12_isocat_2(X1,X3,X2,X6),k12_isocat_2(X1,X3,X2,X5),k14_isocat_2(X1,X3,X2,X4,X6,X7),k14_isocat_2(X1,X3,X2,X6,X5,X8))) ),
inference(spm,[status(thm)],[c_0_29,c_0_26]) ).
cnf(c_0_34,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X6,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X5,X1,k11_cat_2(X2,X3))
| ~ r2_nattra_1(X1,k11_cat_2(X2,X3),X4,X6)
| ~ r2_nattra_1(X1,k11_cat_2(X2,X3),X6,X5)
| ~ m2_nattra_1(X7,X1,k11_cat_2(X2,X3),X4,X6)
| ~ m2_nattra_1(X8,X1,k11_cat_2(X2,X3),X6,X5)
| 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,X5,k8_nattra_1(X1,k11_cat_2(X2,X3),X4,X6,X5,X7,X8),k8_isocat_2(X2,X3)),k8_nattra_1(X1,X2,k2_isocat_1(X1,k11_cat_2(X2,X3),X2,X4,k8_isocat_2(X2,X3)),k2_isocat_1(X1,k11_cat_2(X2,X3),X2,X6,k8_isocat_2(X2,X3)),k11_isocat_2(X1,X2,X3,X5),k13_isocat_2(X1,X2,X3,X4,X6,X7),k13_isocat_2(X1,X2,X3,X6,X5,X8))) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_35,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),k14_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0,k8_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk5_0,esk6_0,esk7_0,esk8_0)),k8_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k12_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0),k12_isocat_2(esk1_0,esk2_0,esk3_0,esk6_0),k14_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk7_0),k14_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk6_0,esk8_0)))
| ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk2_0),u1_cat_1(esk1_0),u2_cat_1(esk2_0),k13_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0,k8_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk5_0,esk6_0,esk7_0,esk8_0)),k8_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k11_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0),k11_isocat_2(esk1_0,esk2_0,esk3_0,esk6_0),k13_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk7_0),k13_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk6_0,esk8_0))) )
& m2_nattra_1(esk8_0,esk1_0,k11_cat_2(esk2_0,esk3_0),esk5_0,esk6_0)
& m2_nattra_1(esk7_0,esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk5_0)
& r2_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk5_0,esk6_0)
& r2_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk5_0)
& m2_cat_1(esk6_0,esk1_0,k11_cat_2(esk2_0,esk3_0))
& m2_cat_1(esk5_0,esk1_0,k11_cat_2(esk2_0,esk3_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_32])])])]) ).
cnf(c_0_36,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X4,X1,k11_cat_2(X3,X2))
| ~ m2_cat_1(X6,X1,k11_cat_2(X3,X2))
| ~ m2_cat_1(X5,X1,k11_cat_2(X3,X2))
| ~ r2_nattra_1(X1,k11_cat_2(X3,X2),X4,X6)
| ~ r2_nattra_1(X1,k11_cat_2(X3,X2),X6,X5)
| ~ m2_nattra_1(X7,X1,k11_cat_2(X3,X2),X4,X6)
| ~ m2_nattra_1(X8,X1,k11_cat_2(X3,X2),X6,X5)
| 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,X5,k8_nattra_1(X1,k11_cat_2(X3,X2),X4,X6,X5,X7,X8),k9_isocat_2(X3,X2)),k8_nattra_1(X1,X2,k12_isocat_2(X1,X3,X2,X4),k12_isocat_2(X1,X3,X2,X6),k12_isocat_2(X1,X3,X2,X5),k14_isocat_2(X1,X3,X2,X4,X6,X7),k14_isocat_2(X1,X3,X2,X6,X5,X8))) ),
inference(spm,[status(thm)],[c_0_33,c_0_26]) ).
cnf(c_0_37,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X6,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X5,X1,k11_cat_2(X2,X3))
| ~ r2_nattra_1(X1,k11_cat_2(X2,X3),X4,X6)
| ~ r2_nattra_1(X1,k11_cat_2(X2,X3),X6,X5)
| ~ m2_nattra_1(X7,X1,k11_cat_2(X2,X3),X4,X6)
| ~ m2_nattra_1(X8,X1,k11_cat_2(X2,X3),X6,X5)
| 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,X5,k8_nattra_1(X1,k11_cat_2(X2,X3),X4,X6,X5,X7,X8),k8_isocat_2(X2,X3)),k8_nattra_1(X1,X2,k2_isocat_1(X1,k11_cat_2(X2,X3),X2,X4,k8_isocat_2(X2,X3)),k11_isocat_2(X1,X2,X3,X6),k11_isocat_2(X1,X2,X3,X5),k13_isocat_2(X1,X2,X3,X4,X6,X7),k13_isocat_2(X1,X2,X3,X6,X5,X8))) ),
inference(spm,[status(thm)],[c_0_34,c_0_31]) ).
cnf(c_0_38,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),k14_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0,k8_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk5_0,esk6_0,esk7_0,esk8_0)),k8_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k12_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0),k12_isocat_2(esk1_0,esk2_0,esk3_0,esk6_0),k14_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk7_0),k14_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk6_0,esk8_0)))
| ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk2_0),u1_cat_1(esk1_0),u2_cat_1(esk2_0),k13_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0,k8_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk5_0,esk6_0,esk7_0,esk8_0)),k8_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k11_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0),k11_isocat_2(esk1_0,esk2_0,esk3_0,esk6_0),k13_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk7_0),k13_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk6_0,esk8_0))) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_39,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X4,X1,k11_cat_2(X3,X2))
| ~ m2_cat_1(X6,X1,k11_cat_2(X3,X2))
| ~ m2_cat_1(X5,X1,k11_cat_2(X3,X2))
| ~ r2_nattra_1(X1,k11_cat_2(X3,X2),X4,X6)
| ~ r2_nattra_1(X1,k11_cat_2(X3,X2),X6,X5)
| ~ m2_nattra_1(X7,X1,k11_cat_2(X3,X2),X4,X6)
| ~ m2_nattra_1(X8,X1,k11_cat_2(X3,X2),X6,X5)
| ~ m2_nattra_1(k8_nattra_1(X1,k11_cat_2(X3,X2),X4,X6,X5,X7,X8),X1,k11_cat_2(X3,X2),X4,X5)
| 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,X5,k8_nattra_1(X1,k11_cat_2(X3,X2),X4,X6,X5,X7,X8)),k8_nattra_1(X1,X2,k12_isocat_2(X1,X3,X2,X4),k12_isocat_2(X1,X3,X2,X6),k12_isocat_2(X1,X3,X2,X5),k14_isocat_2(X1,X3,X2,X4,X6,X7),k14_isocat_2(X1,X3,X2,X6,X5,X8))) ),
inference(spm,[status(thm)],[c_0_36,c_0_15]) ).
cnf(c_0_40,negated_conjecture,
m2_nattra_1(esk8_0,esk1_0,k11_cat_2(esk2_0,esk3_0),esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_41,negated_conjecture,
m2_nattra_1(esk7_0,esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,negated_conjecture,
r2_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_43,negated_conjecture,
r2_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_44,negated_conjecture,
m2_cat_1(esk6_0,esk1_0,k11_cat_2(esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_45,negated_conjecture,
m2_cat_1(esk5_0,esk1_0,k11_cat_2(esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_46,negated_conjecture,
m2_cat_1(esk4_0,esk1_0,k11_cat_2(esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_47,negated_conjecture,
l1_cat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_48,negated_conjecture,
l1_cat_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_49,negated_conjecture,
l1_cat_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_50,negated_conjecture,
v2_cat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_51,negated_conjecture,
v2_cat_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_52,negated_conjecture,
v2_cat_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_53,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X6,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X5,X1,k11_cat_2(X2,X3))
| ~ r2_nattra_1(X1,k11_cat_2(X2,X3),X4,X6)
| ~ r2_nattra_1(X1,k11_cat_2(X2,X3),X6,X5)
| ~ m2_nattra_1(X7,X1,k11_cat_2(X2,X3),X4,X6)
| ~ m2_nattra_1(X8,X1,k11_cat_2(X2,X3),X6,X5)
| 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,X5,k8_nattra_1(X1,k11_cat_2(X2,X3),X4,X6,X5,X7,X8),k8_isocat_2(X2,X3)),k8_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4),k11_isocat_2(X1,X2,X3,X6),k11_isocat_2(X1,X2,X3,X5),k13_isocat_2(X1,X2,X3,X4,X6,X7),k13_isocat_2(X1,X2,X3,X6,X5,X8))) ),
inference(spm,[status(thm)],[c_0_37,c_0_31]) ).
cnf(c_0_54,negated_conjecture,
( ~ m2_nattra_1(k8_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk5_0,esk6_0,esk7_0,esk8_0),esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk6_0)
| ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk2_0),u1_cat_1(esk1_0),u2_cat_1(esk2_0),k13_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0,k8_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk5_0,esk6_0,esk7_0,esk8_0)),k8_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k11_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0),k11_isocat_2(esk1_0,esk2_0,esk3_0,esk6_0),k13_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk7_0),k13_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk6_0,esk8_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_38,c_0_39]),c_0_40]),c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50]),c_0_51]),c_0_52])]) ).
cnf(c_0_55,plain,
( ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X6,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X5,X1,k11_cat_2(X2,X3))
| ~ r2_nattra_1(X1,k11_cat_2(X2,X3),X4,X6)
| ~ r2_nattra_1(X1,k11_cat_2(X2,X3),X6,X5)
| ~ m2_nattra_1(X7,X1,k11_cat_2(X2,X3),X4,X6)
| ~ m2_nattra_1(X8,X1,k11_cat_2(X2,X3),X6,X5)
| ~ m2_nattra_1(k8_nattra_1(X1,k11_cat_2(X2,X3),X4,X6,X5,X7,X8),X1,k11_cat_2(X2,X3),X4,X5)
| 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,X5,k8_nattra_1(X1,k11_cat_2(X2,X3),X4,X6,X5,X7,X8)),k8_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4),k11_isocat_2(X1,X2,X3,X6),k11_isocat_2(X1,X2,X3,X5),k13_isocat_2(X1,X2,X3,X4,X6,X7),k13_isocat_2(X1,X2,X3,X6,X5,X8))) ),
inference(spm,[status(thm)],[c_0_53,c_0_23]) ).
fof(c_0_56,plain,
! [X36,X37,X38,X39,X40,X41,X42] :
( m2_nattra_1(k8_nattra_1(X36,X37,X38,X39,X40,X41,X42),X36,X37,X38,X40)
| ~ m2_nattra_1(X42,X36,X37,X39,X40)
| ~ m2_nattra_1(X41,X36,X37,X38,X39)
| ~ m2_cat_1(X40,X36,X37)
| ~ m2_cat_1(X39,X36,X37)
| ~ m2_cat_1(X38,X36,X37)
| ~ l1_cat_1(X37)
| ~ v2_cat_1(X37)
| ~ l1_cat_1(X36)
| ~ v2_cat_1(X36) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_nattra_1])])]) ).
cnf(c_0_57,negated_conjecture,
~ m2_nattra_1(k8_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk5_0,esk6_0,esk7_0,esk8_0),esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_40]),c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_49]),c_0_48]),c_0_50]),c_0_52]),c_0_51])]) ).
cnf(c_0_58,plain,
( ~ m2_nattra_1(X7,X1,X2,X4,X5)
| ~ m2_nattra_1(X6,X1,X2,X3,X4)
| ~ m2_cat_1(X5,X1,X2)
| ~ 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)
| m2_nattra_1(k8_nattra_1(X1,X2,X3,X4,X5,X6,X7),X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_59,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_40]),c_0_41]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_50])]) ).
cnf(c_0_60,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_59,c_0_16]),c_0_48]),c_0_49]),c_0_51]),c_0_52])]) ).
cnf(c_0_61,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_60,c_0_17]),c_0_48]),c_0_49]),c_0_51]),c_0_52])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CAT028+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.44 % Computer : n013.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 13:58:21 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.51 Running first-order theorem proving
% 0.22/0.51 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
% 0.62/0.64 % Version: 3.5.1
% 0.62/0.64 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.62/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.62/0.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.62/0.64 % Starting new_bool_3 with 300s (1) cores
% 0.62/0.64 % Starting new_bool_1 with 300s (1) cores
% 0.62/0.64 % Starting sh5l with 300s (1) cores
% 0.62/0.64 % new_bool_1 with pid 933885 completed with status 0
% 0.62/0.64 % Result found by new_bool_1
% 0.62/0.64 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.62/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.62/0.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.62/0.64 % Starting new_bool_3 with 300s (1) cores
% 0.62/0.64 % Starting new_bool_1 with 300s (1) cores
% 0.62/0.64 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.62/0.64 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.62/0.64 % Search class: FGHSS-FFMM33-MFFFFFNN
% 0.62/0.64 % partial match(1): FGHSF-FFMM33-MFFFFFNN
% 0.62/0.64 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.62/0.64 % Starting SubtermCWHack with 31s (1) cores
% 0.62/0.64 % SubtermCWHack with pid 933887 completed with status 0
% 0.62/0.64 % Result found by SubtermCWHack
% 0.62/0.64 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.62/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.62/0.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.62/0.64 % Starting new_bool_3 with 300s (1) cores
% 0.62/0.64 % Starting new_bool_1 with 300s (1) cores
% 0.62/0.64 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.62/0.64 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.62/0.64 % Search class: FGHSS-FFMM33-MFFFFFNN
% 0.62/0.64 % partial match(1): FGHSF-FFMM33-MFFFFFNN
% 0.62/0.64 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.62/0.64 % Starting SubtermCWHack with 31s (1) cores
% 0.62/0.64 % Preprocessing time : 0.003 s
% 0.62/0.64
% 0.62/0.64 % Proof found!
% 0.62/0.64 % SZS status Theorem
% 0.62/0.64 % SZS output start CNFRefutation
% See solution above
% 0.62/0.64 % Parsed axioms : 64
% 0.62/0.64 % Removed by relevancy pruning/SinE : 29
% 0.62/0.64 % Initial clauses : 55
% 0.62/0.64 % Removed in clause preprocessing : 0
% 0.62/0.64 % Initial clauses in saturation : 55
% 0.62/0.64 % Processed clauses : 261
% 0.62/0.64 % ...of these trivial : 0
% 0.62/0.64 % ...subsumed : 96
% 0.62/0.64 % ...remaining for further processing : 165
% 0.62/0.64 % Other redundant clauses eliminated : 1
% 0.62/0.64 % Clauses deleted for lack of memory : 0
% 0.62/0.64 % Backward-subsumed : 18
% 0.62/0.64 % Backward-rewritten : 0
% 0.62/0.64 % Generated clauses : 364
% 0.62/0.64 % ...of the previous two non-redundant : 362
% 0.62/0.64 % ...aggressively subsumed : 0
% 0.62/0.64 % Contextual simplify-reflections : 79
% 0.62/0.64 % Paramodulations : 363
% 0.62/0.64 % Factorizations : 0
% 0.62/0.64 % NegExts : 0
% 0.62/0.64 % Equation resolutions : 1
% 0.62/0.64 % Disequality decompositions : 0
% 0.62/0.64 % Total rewrite steps : 95
% 0.62/0.64 % ...of those cached : 82
% 0.62/0.64 % Propositional unsat checks : 0
% 0.62/0.64 % Propositional check models : 0
% 0.62/0.64 % Propositional check unsatisfiable : 0
% 0.62/0.64 % Propositional clauses : 0
% 0.62/0.64 % Propositional clauses after purity: 0
% 0.62/0.64 % Propositional unsat core size : 0
% 0.62/0.64 % Propositional preprocessing time : 0.000
% 0.62/0.64 % Propositional encoding time : 0.000
% 0.62/0.64 % Propositional solver time : 0.000
% 0.62/0.64 % Success case prop preproc time : 0.000
% 0.62/0.64 % Success case prop encoding time : 0.000
% 0.62/0.64 % Success case prop solver time : 0.000
% 0.62/0.64 % Current number of processed clauses : 146
% 0.62/0.64 % Positive orientable unit clauses : 18
% 0.62/0.64 % Positive unorientable unit clauses: 0
% 0.62/0.64 % Negative unit clauses : 3
% 0.62/0.64 % Non-unit-clauses : 125
% 0.62/0.64 % Current number of unprocessed clauses: 127
% 0.62/0.64 % ...number of literals in the above : 2526
% 0.62/0.64 % Current number of archived formulas : 0
% 0.62/0.64 % Current number of archived clauses : 18
% 0.62/0.64 % Clause-clause subsumption calls (NU) : 48759
% 0.62/0.64 % Rec. Clause-clause subsumption calls : 721
% 0.62/0.64 % Non-unit clause-clause subsumptions : 191
% 0.62/0.64 % Unit Clause-clause subsumption calls : 74
% 0.62/0.64 % Rewrite failures with RHS unbound : 0
% 0.62/0.64 % BW rewrite match attempts : 1
% 0.62/0.64 % BW rewrite match successes : 0
% 0.62/0.64 % Condensation attempts : 0
% 0.62/0.64 % Condensation successes : 0
% 0.62/0.64 % Termbank termtop insertions : 37959
% 0.62/0.64 % Search garbage collected termcells : 1842
% 0.62/0.64
% 0.62/0.64 % -------------------------------------------------
% 0.62/0.64 % User time : 0.095 s
% 0.62/0.64 % System time : 0.008 s
% 0.62/0.64 % Total time : 0.104 s
% 0.62/0.64 % Maximum resident set size: 3980 pages
% 0.62/0.64
% 0.62/0.64 % -------------------------------------------------
% 0.62/0.64 % User time : 0.098 s
% 0.62/0.64 % System time : 0.013 s
% 0.62/0.64 % Total time : 0.111 s
% 0.62/0.64 % Maximum resident set size: 4608 pages
% 0.62/0.64 % E exiting
%------------------------------------------------------------------------------