%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CAT026+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 12:08:05 PM UTC 2026
% Result : Theorem 0.23s 0.54s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 47 ( 11 unt; 0 def)
% Number of atoms : 297 ( 6 equ)
% Maximal formula atoms : 13 ( 6 avg)
% Number of connectives : 425 ( 175 ~; 171 |; 46 &)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-5 aty)
% Number of variables : 129 ( 1 sgn 64 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t27_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,X1,X2)
=> ! [X6] :
( m2_cat_1(X6,X2,X3)
=> ! [X7] :
( m2_cat_1(X7,X2,X3)
=> ( ( r2_nattra_1(X2,X3,X6,X7)
& r2_nattra_1(X1,X2,X4,X5) )
=> r2_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X6),k2_isocat_1(X1,X2,X3,X5,X7)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_isocat_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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',dt_k9_isocat_2) ).
fof(reflexivity_r2_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) )
=> r2_nattra_1(X1,X2,X3,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r2_nattra_1) ).
fof(existence_m2_cat_1,axiom,
! [X1,X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2)
& l1_cat_1(X1)
& v2_cat_1(X1) )
=> ? [X3] : m2_cat_1(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_cat_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/sandbox/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/sandbox/benchmark/theBenchmark.p',dt_k8_isocat_2) ).
fof(t38_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))
=> ( r2_nattra_1(X1,k11_cat_2(X2,X3),X4,X5)
=> ( r2_nattra_1(X1,X3,k12_isocat_2(X1,X2,X3,X4),k12_isocat_2(X1,X2,X3,X5))
& r2_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4),k11_isocat_2(X1,X2,X3,X5)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_isocat_2) ).
fof(c_0_9,plain,
! [X17,X18,X19,X20,X21,X22,X23] :
( r2_nattra_1(X17,X19,k2_isocat_1(X17,X18,X19,X20,X22),k2_isocat_1(X17,X18,X19,X21,X23))
| ~ r2_nattra_1(X18,X19,X22,X23)
| ~ r2_nattra_1(X17,X18,X20,X21)
| ~ m2_cat_1(X23,X18,X19)
| ~ m2_cat_1(X22,X18,X19)
| ~ m2_cat_1(X21,X17,X18)
| ~ m2_cat_1(X20,X17,X18)
| ~ l1_cat_1(X19)
| ~ v2_cat_1(X19)
| ~ l1_cat_1(X18)
| ~ v2_cat_1(X18)
| ~ l1_cat_1(X17)
| ~ v2_cat_1(X17) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t27_isocat_1])])])]) ).
fof(c_0_10,plain,
! [X28,X29,X30,X31] :
( k12_isocat_2(X28,X29,X30,X31) = k2_isocat_1(X28,k11_cat_2(X29,X30),X30,X31,k9_isocat_2(X29,X30))
| ~ m2_cat_1(X31,X28,k11_cat_2(X29,X30))
| ~ l1_cat_1(X30)
| ~ v2_cat_1(X30)
| ~ l1_cat_1(X29)
| ~ v2_cat_1(X29)
| ~ l1_cat_1(X28)
| ~ v2_cat_1(X28) ),
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_11,plain,
! [X40,X41] :
( ( ~ l1_cat_1(X41)
| ~ v2_cat_1(X41)
| ~ l1_cat_1(X40)
| ~ v2_cat_1(X40)
| l1_cat_1(k11_cat_2(X40,X41)) )
& ( ~ l1_cat_1(X41)
| ~ v2_cat_1(X41)
| ~ l1_cat_1(X40)
| ~ v2_cat_1(X40)
| v2_cat_1(k11_cat_2(X40,X41)) ) ),
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_12,plain,
! [X53,X54] :
( m2_cat_1(k9_isocat_2(X53,X54),k11_cat_2(X53,X54),X54)
| ~ l1_cat_1(X54)
| ~ v2_cat_1(X54)
| ~ l1_cat_1(X53)
| ~ v2_cat_1(X53) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k9_isocat_2])])]) ).
cnf(c_0_13,plain,
( ~ r2_nattra_1(X2,X3,X6,X7)
| ~ r2_nattra_1(X1,X2,X4,X5)
| ~ m2_cat_1(X7,X2,X3)
| ~ m2_cat_1(X6,X2,X3)
| ~ 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)
| r2_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X6),k2_isocat_1(X1,X2,X3,X5,X7)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,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_10]) ).
cnf(c_0_15,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_11]) ).
cnf(c_0_16,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_11]) ).
cnf(c_0_17,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_12]) ).
fof(c_0_18,plain,
! [X13,X14,X15,X16] :
( r2_nattra_1(X13,X14,X15,X15)
| ~ m2_cat_1(X16,X13,X14)
| ~ m2_cat_1(X15,X13,X14)
| ~ l1_cat_1(X14)
| ~ v2_cat_1(X14)
| ~ l1_cat_1(X13)
| ~ v2_cat_1(X13) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reflexivity_r2_nattra_1])])]) ).
fof(c_0_19,plain,
! [X42,X43] :
( m2_cat_1(esk6_2(X42,X43),X42,X43)
| ~ l1_cat_1(X43)
| ~ v2_cat_1(X43)
| ~ l1_cat_1(X42)
| ~ v2_cat_1(X42) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[existence_m2_cat_1])])])]) ).
fof(c_0_20,plain,
! [X36,X37,X38,X39] :
( k11_isocat_2(X36,X37,X38,X39) = k2_isocat_1(X36,k11_cat_2(X37,X38),X37,X39,k8_isocat_2(X37,X38))
| ~ m2_cat_1(X39,X36,k11_cat_2(X37,X38))
| ~ l1_cat_1(X38)
| ~ v2_cat_1(X38)
| ~ l1_cat_1(X37)
| ~ v2_cat_1(X37)
| ~ l1_cat_1(X36)
| ~ v2_cat_1(X36) ),
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_21,plain,
! [X57,X58] :
( m2_cat_1(k8_isocat_2(X57,X58),k11_cat_2(X57,X58),X57)
| ~ l1_cat_1(X58)
| ~ v2_cat_1(X58)
| ~ l1_cat_1(X57)
| ~ v2_cat_1(X57) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_isocat_2])])]) ).
fof(c_0_22,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))
=> ( r2_nattra_1(X1,k11_cat_2(X2,X3),X4,X5)
=> ( r2_nattra_1(X1,X3,k12_isocat_2(X1,X2,X3,X4),k12_isocat_2(X1,X2,X3,X5))
& r2_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4),k11_isocat_2(X1,X2,X3,X5)) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t38_isocat_2]) ).
cnf(c_0_23,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_cat_1(X6,X1,k11_cat_2(X3,X2))
| ~ m2_cat_1(X5,k11_cat_2(X3,X2),X2)
| ~ r2_nattra_1(X1,k11_cat_2(X3,X2),X4,X6)
| ~ r2_nattra_1(k11_cat_2(X3,X2),X2,X5,k9_isocat_2(X3,X2))
| r2_nattra_1(X1,X2,k2_isocat_1(X1,k11_cat_2(X3,X2),X2,X4,X5),k12_isocat_2(X1,X3,X2,X6)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_16]),c_0_17]) ).
cnf(c_0_24,plain,
( ~ 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)
| r2_nattra_1(X1,X2,X3,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
( ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| m2_cat_1(esk6_2(X1,X2),X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
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)
| 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_20]) ).
cnf(c_0_27,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_21]) ).
fof(c_0_28,negated_conjecture,
( ( ~ r2_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))
| ~ r2_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)) )
& r2_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk5_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_22])])])]) ).
cnf(c_0_29,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_cat_1(X5,X1,k11_cat_2(X3,X2))
| ~ r2_nattra_1(X1,k11_cat_2(X3,X2),X4,X5)
| ~ r2_nattra_1(k11_cat_2(X3,X2),X2,k9_isocat_2(X3,X2),k9_isocat_2(X3,X2))
| r2_nattra_1(X1,X2,k12_isocat_2(X1,X3,X2,X4),k12_isocat_2(X1,X3,X2,X5)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_14]),c_0_17]) ).
cnf(c_0_30,plain,
( ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X1,X2)
| r2_nattra_1(X1,X2,X3,X3) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,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_cat_1(X6,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X5,k11_cat_2(X2,X3),X2)
| ~ r2_nattra_1(X1,k11_cat_2(X2,X3),X4,X6)
| ~ r2_nattra_1(k11_cat_2(X2,X3),X2,X5,k8_isocat_2(X2,X3))
| r2_nattra_1(X1,X2,k2_isocat_1(X1,k11_cat_2(X2,X3),X2,X4,X5),k11_isocat_2(X1,X2,X3,X6)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_26]),c_0_15]),c_0_16]),c_0_27]) ).
cnf(c_0_32,negated_conjecture,
( ~ r2_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))
| ~ r2_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)) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,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_cat_1(X5,X1,k11_cat_2(X3,X2))
| ~ r2_nattra_1(X1,k11_cat_2(X3,X2),X4,X5)
| r2_nattra_1(X1,X2,k12_isocat_2(X1,X3,X2,X4),k12_isocat_2(X1,X3,X2,X5)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_15]),c_0_16]),c_0_17]) ).
cnf(c_0_34,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_28]) ).
cnf(c_0_35,negated_conjecture,
m2_cat_1(esk5_0,esk1_0,k11_cat_2(esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,negated_conjecture,
m2_cat_1(esk4_0,esk1_0,k11_cat_2(esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_37,negated_conjecture,
l1_cat_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_38,negated_conjecture,
l1_cat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_39,negated_conjecture,
l1_cat_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_40,negated_conjecture,
v2_cat_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_41,negated_conjecture,
v2_cat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_42,negated_conjecture,
v2_cat_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_43,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_cat_1(X5,X1,k11_cat_2(X2,X3))
| ~ r2_nattra_1(X1,k11_cat_2(X2,X3),X4,X5)
| ~ r2_nattra_1(k11_cat_2(X2,X3),X2,k8_isocat_2(X2,X3),k8_isocat_2(X2,X3))
| r2_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4),k11_isocat_2(X1,X2,X3,X5)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_26]),c_0_27]) ).
cnf(c_0_44,negated_conjecture,
~ r2_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)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40]),c_0_41]),c_0_42])]) ).
cnf(c_0_45,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_cat_1(X5,X1,k11_cat_2(X2,X3))
| ~ r2_nattra_1(X1,k11_cat_2(X2,X3),X4,X5)
| r2_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4),k11_isocat_2(X1,X2,X3,X5)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_30]),c_0_15]),c_0_16]),c_0_27]) ).
cnf(c_0_46,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_34]),c_0_35]),c_0_36]),c_0_39]),c_0_38]),c_0_37]),c_0_42]),c_0_41]),c_0_40])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CAT026+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.43 % Computer : n005.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Mon Sep 21 13:59:18 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.50 Running first-order theorem proving
% 0.23/0.50 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.23/0.54 % Version: 3.5.1
% 0.23/0.54 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/0.54 % Starting new_bool_3 with 300s (1) cores
% 0.23/0.54 % Starting new_bool_1 with 300s (1) cores
% 0.23/0.54 % Starting sh5l with 300s (1) cores
% 0.23/0.54 % new_bool_3 with pid 3659340 completed with status 0
% 0.23/0.54 % Result found by new_bool_3
% 0.23/0.54 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/0.54 % Starting new_bool_3 with 300s (1) cores
% 0.23/0.54 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.23/0.54 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/0.54 % Search class: FHHSF-FFMM32-SFFFFFNN
% 0.23/0.54 % partial match(1): FGHSF-FFMM32-SFFFFFNN
% 0.23/0.54 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.54 % Starting SubtermCWHack with 28s (1) cores
% 0.23/0.54 % SubtermCWHack with pid 3659343 completed with status 0
% 0.23/0.54 % Result found by SubtermCWHack
% 0.23/0.54 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/0.54 % Starting new_bool_3 with 300s (1) cores
% 0.23/0.54 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.23/0.54 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/0.54 % Search class: FHHSF-FFMM32-SFFFFFNN
% 0.23/0.54 % partial match(1): FGHSF-FFMM32-SFFFFFNN
% 0.23/0.54 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.54 % Starting SubtermCWHack with 28s (1) cores
% 0.23/0.54 % Preprocessing time : 0.002 s
% 0.23/0.54
% 0.23/0.54 % Proof found!
% 0.23/0.54 % SZS status Theorem
% 0.23/0.54 % SZS output start CNFRefutation
% See solution above
% 0.23/0.54 % Parsed axioms : 50
% 0.23/0.54 % Removed by relevancy pruning/SinE : 33
% 0.23/0.54 % Initial clauses : 27
% 0.23/0.54 % Removed in clause preprocessing : 0
% 0.23/0.54 % Initial clauses in saturation : 27
% 0.23/0.54 % Processed clauses : 41
% 0.23/0.54 % ...of these trivial : 0
% 0.23/0.54 % ...subsumed : 4
% 0.23/0.54 % ...remaining for further processing : 37
% 0.23/0.54 % Other redundant clauses eliminated : 0
% 0.23/0.54 % Clauses deleted for lack of memory : 0
% 0.23/0.54 % Backward-subsumed : 4
% 0.23/0.54 % Backward-rewritten : 0
% 0.23/0.54 % Generated clauses : 23
% 0.23/0.54 % ...of the previous two non-redundant : 22
% 0.23/0.54 % ...aggressively subsumed : 0
% 0.23/0.54 % Contextual simplify-reflections : 14
% 0.23/0.54 % Paramodulations : 23
% 0.23/0.54 % Factorizations : 0
% 0.23/0.54 % NegExts : 0
% 0.23/0.54 % Equation resolutions : 0
% 0.23/0.54 % Disequality decompositions : 0
% 0.23/0.54 % Total rewrite steps : 22
% 0.23/0.54 % ...of those cached : 13
% 0.23/0.54 % Propositional unsat checks : 0
% 0.23/0.54 % Propositional check models : 0
% 0.23/0.54 % Propositional check unsatisfiable : 0
% 0.23/0.54 % Propositional clauses : 0
% 0.23/0.54 % Propositional clauses after purity: 0
% 0.23/0.54 % Propositional unsat core size : 0
% 0.23/0.54 % Propositional preprocessing time : 0.000
% 0.23/0.54 % Propositional encoding time : 0.000
% 0.23/0.54 % Propositional solver time : 0.000
% 0.23/0.54 % Success case prop preproc time : 0.000
% 0.23/0.54 % Success case prop encoding time : 0.000
% 0.23/0.54 % Success case prop solver time : 0.000
% 0.23/0.54 % Current number of processed clauses : 33
% 0.23/0.54 % Positive orientable unit clauses : 10
% 0.23/0.54 % Positive unorientable unit clauses: 0
% 0.23/0.54 % Negative unit clauses : 1
% 0.23/0.54 % Non-unit-clauses : 22
% 0.23/0.54 % Current number of unprocessed clauses: 2
% 0.23/0.54 % ...number of literals in the above : 30
% 0.23/0.54 % Current number of archived formulas : 0
% 0.23/0.54 % Current number of archived clauses : 4
% 0.23/0.54 % Clause-clause subsumption calls (NU) : 842
% 0.23/0.54 % Rec. Clause-clause subsumption calls : 25
% 0.23/0.54 % Non-unit clause-clause subsumptions : 21
% 0.23/0.54 % Unit Clause-clause subsumption calls : 1
% 0.23/0.54 % Rewrite failures with RHS unbound : 0
% 0.23/0.54 % BW rewrite match attempts : 0
% 0.23/0.54 % BW rewrite match successes : 0
% 0.23/0.54 % Condensation attempts : 0
% 0.23/0.54 % Condensation successes : 0
% 0.23/0.54 % Termbank termtop insertions : 5456
% 0.23/0.54 % Search garbage collected termcells : 944
% 0.23/0.54
% 0.23/0.54 % -------------------------------------------------
% 0.23/0.54 % User time : 0.008 s
% 0.23/0.54 % System time : 0.004 s
% 0.23/0.54 % Total time : 0.012 s
% 0.23/0.54 % Maximum resident set size: 3688 pages
% 0.23/0.54
% 0.23/0.54 % -------------------------------------------------
% 0.23/0.54 % User time : 0.011 s
% 0.23/0.54 % System time : 0.009 s
% 0.23/0.54 % Total time : 0.019 s
% 0.23/0.54 % Maximum resident set size: 4864 pages
% 0.23/0.54 % E exiting
%------------------------------------------------------------------------------