TSTP Solution File: CAT026+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : CAT026+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 23:59:48 EDT 2022
% Result : Theorem 0.23s 1.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 50 ( 11 unt; 0 def)
% Number of atoms : 272 ( 6 equ)
% Maximal formula atoms : 13 ( 5 avg)
% Number of connectives : 370 ( 148 ~; 143 |; 46 &)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 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 : 105 ( 1 sgn 64 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(reflexivity_r2_nattra_1,axiom,
! [X1,X2,X3,X4] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2)
& m2_cat_1(X3,X1,X2)
& m2_cat_1(X4,X1,X2) )
=> r2_nattra_1(X1,X2,X3,X3) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',reflexivity_r2_nattra_1) ).
fof(existence_m2_cat_1,axiom,
! [X1,X2] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2) )
=> ? [X3] : m2_cat_1(X3,X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',existence_m2_cat_1) ).
fof(t27_isocat_1,axiom,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( ( v2_cat_1(X3)
& l1_cat_1(X3) )
=> ! [X4] :
( m2_cat_1(X4,X1,X2)
=> ! [X5] :
( m2_cat_1(X5,X1,X2)
=> ! [X6] :
( m2_cat_1(X6,X2,X3)
=> ! [X7] :
( m2_cat_1(X7,X2,X3)
=> ( ( r2_nattra_1(X1,X2,X4,X5)
& r2_nattra_1(X2,X3,X6,X7) )
=> 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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t27_isocat_1) ).
fof(t38_isocat_2,conjecture,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( ( v2_cat_1(X3)
& l1_cat_1(X3) )
=> ! [X4] :
( m2_cat_1(X4,X1,k11_cat_2(X2,X3))
=> ! [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,X2,k11_isocat_2(X1,X2,X3,X4),k11_isocat_2(X1,X2,X3,X5))
& r2_nattra_1(X1,X3,k12_isocat_2(X1,X2,X3,X4),k12_isocat_2(X1,X2,X3,X5)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t38_isocat_2) ).
fof(d8_isocat_2,axiom,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( ( v2_cat_1(X3)
& l1_cat_1(X3) )
=> ! [X4] :
( m2_cat_1(X4,X1,k11_cat_2(X2,X3))
=> k12_isocat_2(X1,X2,X3,X4) = k2_isocat_1(X1,k11_cat_2(X2,X3),X3,X4,k9_isocat_2(X2,X3)) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d8_isocat_2) ).
fof(d7_isocat_2,axiom,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( ( v2_cat_1(X3)
& l1_cat_1(X3) )
=> ! [X4] :
( m2_cat_1(X4,X1,k11_cat_2(X2,X3))
=> k11_isocat_2(X1,X2,X3,X4) = k2_isocat_1(X1,k11_cat_2(X2,X3),X2,X4,k8_isocat_2(X2,X3)) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d7_isocat_2) ).
fof(dt_k9_isocat_2,axiom,
! [X1,X2] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2) )
=> m2_cat_1(k9_isocat_2(X1,X2),k11_cat_2(X1,X2),X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k9_isocat_2) ).
fof(dt_k8_isocat_2,axiom,
! [X1,X2] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2) )
=> m2_cat_1(k8_isocat_2(X1,X2),k11_cat_2(X1,X2),X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k8_isocat_2) ).
fof(dt_k11_cat_2,axiom,
! [X1,X2] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2) )
=> ( v2_cat_1(k11_cat_2(X1,X2))
& l1_cat_1(k11_cat_2(X1,X2)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k11_cat_2) ).
fof(c_0_9,plain,
! [X5,X6,X7,X8] :
( ~ v2_cat_1(X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X6)
| ~ m2_cat_1(X7,X5,X6)
| ~ m2_cat_1(X8,X5,X6)
| r2_nattra_1(X5,X6,X7,X7) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reflexivity_r2_nattra_1])])])]) ).
fof(c_0_10,plain,
! [X4,X5] :
( ~ v2_cat_1(X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X5)
| m2_cat_1(esk6_2(X4,X5),X4,X5) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[existence_m2_cat_1])])])])]) ).
fof(c_0_11,plain,
! [X8,X9,X10,X11,X12,X13,X14] :
( ~ v2_cat_1(X8)
| ~ l1_cat_1(X8)
| ~ v2_cat_1(X9)
| ~ l1_cat_1(X9)
| ~ v2_cat_1(X10)
| ~ l1_cat_1(X10)
| ~ m2_cat_1(X11,X8,X9)
| ~ m2_cat_1(X12,X8,X9)
| ~ m2_cat_1(X13,X9,X10)
| ~ m2_cat_1(X14,X9,X10)
| ~ r2_nattra_1(X8,X9,X11,X12)
| ~ r2_nattra_1(X9,X10,X13,X14)
| r2_nattra_1(X8,X10,k2_isocat_1(X8,X9,X10,X11,X13),k2_isocat_1(X8,X9,X10,X12,X14)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t27_isocat_1])])])])]) ).
cnf(c_0_12,plain,
( r2_nattra_1(X1,X2,X3,X3)
| ~ 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) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( m2_cat_1(esk6_2(X1,X2),X1,X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_14,negated_conjecture,
~ ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( ( v2_cat_1(X3)
& l1_cat_1(X3) )
=> ! [X4] :
( m2_cat_1(X4,X1,k11_cat_2(X2,X3))
=> ! [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,X2,k11_isocat_2(X1,X2,X3,X4),k11_isocat_2(X1,X2,X3,X5))
& r2_nattra_1(X1,X3,k12_isocat_2(X1,X2,X3,X4),k12_isocat_2(X1,X2,X3,X5)) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t38_isocat_2]) ).
cnf(c_0_15,plain,
( r2_nattra_1(X1,X2,k2_isocat_1(X1,X3,X2,X4,X5),k2_isocat_1(X1,X3,X2,X6,X7))
| ~ r2_nattra_1(X3,X2,X5,X7)
| ~ r2_nattra_1(X1,X3,X4,X6)
| ~ m2_cat_1(X7,X3,X2)
| ~ m2_cat_1(X5,X3,X2)
| ~ m2_cat_1(X6,X1,X3)
| ~ m2_cat_1(X4,X1,X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
( r2_nattra_1(X1,X2,X3,X3)
| ~ m2_cat_1(X3,X1,X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_17,negated_conjecture,
( v2_cat_1(esk1_0)
& l1_cat_1(esk1_0)
& v2_cat_1(esk2_0)
& l1_cat_1(esk2_0)
& v2_cat_1(esk3_0)
& l1_cat_1(esk3_0)
& m2_cat_1(esk4_0,esk1_0,k11_cat_2(esk2_0,esk3_0))
& m2_cat_1(esk5_0,esk1_0,k11_cat_2(esk2_0,esk3_0))
& r2_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_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,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k12_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0)) ) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])]) ).
cnf(c_0_18,plain,
( r2_nattra_1(X1,X2,k2_isocat_1(X1,X3,X2,X4,X5),k2_isocat_1(X1,X3,X2,X6,X5))
| ~ r2_nattra_1(X1,X3,X4,X6)
| ~ m2_cat_1(X5,X3,X2)
| ~ m2_cat_1(X6,X1,X3)
| ~ m2_cat_1(X4,X1,X3)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,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_17]) ).
cnf(c_0_20,negated_conjecture,
m2_cat_1(esk5_0,esk1_0,k11_cat_2(esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,negated_conjecture,
m2_cat_1(esk4_0,esk1_0,k11_cat_2(esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,negated_conjecture,
l1_cat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,negated_conjecture,
v2_cat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_24,plain,
! [X5,X6,X7,X8] :
( ~ v2_cat_1(X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X7)
| ~ m2_cat_1(X8,X5,k11_cat_2(X6,X7))
| k12_isocat_2(X5,X6,X7,X8) = k2_isocat_1(X5,k11_cat_2(X6,X7),X7,X8,k9_isocat_2(X6,X7)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_isocat_2])])])])]) ).
fof(c_0_25,plain,
! [X5,X6,X7,X8] :
( ~ v2_cat_1(X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X7)
| ~ m2_cat_1(X8,X5,k11_cat_2(X6,X7))
| k11_isocat_2(X5,X6,X7,X8) = k2_isocat_1(X5,k11_cat_2(X6,X7),X6,X8,k8_isocat_2(X6,X7)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d7_isocat_2])])])])]) ).
cnf(c_0_26,negated_conjecture,
( r2_nattra_1(esk1_0,X1,k2_isocat_1(esk1_0,k11_cat_2(esk2_0,esk3_0),X1,esk4_0,X2),k2_isocat_1(esk1_0,k11_cat_2(esk2_0,esk3_0),X1,esk5_0,X2))
| ~ m2_cat_1(X2,k11_cat_2(esk2_0,esk3_0),X1)
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(X1) ),
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_18,c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23])]) ).
cnf(c_0_27,plain,
( k12_isocat_2(X1,X2,X3,X4) = k2_isocat_1(X1,k11_cat_2(X2,X3),X3,X4,k9_isocat_2(X2,X3))
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_28,negated_conjecture,
l1_cat_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_29,negated_conjecture,
v2_cat_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_30,negated_conjecture,
l1_cat_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_31,negated_conjecture,
v2_cat_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_32,plain,
( k11_isocat_2(X1,X2,X3,X4) = k2_isocat_1(X1,k11_cat_2(X2,X3),X2,X4,k8_isocat_2(X2,X3))
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_33,negated_conjecture,
( r2_nattra_1(esk1_0,esk3_0,k2_isocat_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk3_0,esk4_0,k9_isocat_2(esk2_0,esk3_0)),k12_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0))
| ~ m2_cat_1(k9_isocat_2(esk2_0,esk3_0),k11_cat_2(esk2_0,esk3_0),esk3_0)
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29]),c_0_20]),c_0_30]),c_0_22]),c_0_31]),c_0_23])]) ).
fof(c_0_34,plain,
! [X3,X4] :
( ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4)
| m2_cat_1(k9_isocat_2(X3,X4),k11_cat_2(X3,X4),X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k9_isocat_2])]) ).
cnf(c_0_35,negated_conjecture,
( r2_nattra_1(esk1_0,esk2_0,k2_isocat_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk2_0,esk4_0,k8_isocat_2(esk2_0,esk3_0)),k11_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0))
| ~ m2_cat_1(k8_isocat_2(esk2_0,esk3_0),k11_cat_2(esk2_0,esk3_0),esk2_0)
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_32]),c_0_30]),c_0_31]),c_0_20]),c_0_28]),c_0_22]),c_0_29]),c_0_23])]) ).
fof(c_0_36,plain,
! [X3,X4] :
( ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4)
| m2_cat_1(k8_isocat_2(X3,X4),k11_cat_2(X3,X4),X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_isocat_2])]) ).
cnf(c_0_37,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))
| ~ m2_cat_1(k9_isocat_2(esk2_0,esk3_0),k11_cat_2(esk2_0,esk3_0),esk3_0)
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_27]),c_0_21]),c_0_28]),c_0_30]),c_0_22]),c_0_29]),c_0_31]),c_0_23])]) ).
cnf(c_0_38,plain,
( m2_cat_1(k9_isocat_2(X1,X2),k11_cat_2(X1,X2),X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_39,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))
| ~ m2_cat_1(k8_isocat_2(esk2_0,esk3_0),k11_cat_2(esk2_0,esk3_0),esk2_0)
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_32]),c_0_21]),c_0_28]),c_0_30]),c_0_22]),c_0_29]),c_0_31]),c_0_23])]) ).
cnf(c_0_40,plain,
( m2_cat_1(k8_isocat_2(X1,X2),k11_cat_2(X1,X2),X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_41,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_17]) ).
cnf(c_0_42,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))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_28]),c_0_30]),c_0_29]),c_0_31])]) ).
cnf(c_0_43,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))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_28]),c_0_30]),c_0_29]),c_0_31])]) ).
fof(c_0_44,plain,
! [X3,X4] :
( ( v2_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4) )
& ( l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k11_cat_2])])]) ).
cnf(c_0_45,negated_conjecture,
( ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
cnf(c_0_46,plain,
( v2_cat_1(k11_cat_2(X2,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_47,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_45,c_0_46]),c_0_30]),c_0_28]),c_0_31]),c_0_29])]) ).
cnf(c_0_48,plain,
( l1_cat_1(k11_cat_2(X2,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_49,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_47,c_0_48]),c_0_30]),c_0_28]),c_0_31]),c_0_29])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CAT026+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun May 29 19:17:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.23/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.42 # Preprocessing time : 0.018 s
% 0.23/1.42
% 0.23/1.42 # Proof found!
% 0.23/1.42 # SZS status Theorem
% 0.23/1.42 # SZS output start CNFRefutation
% See solution above
% 0.23/1.42 # Proof object total steps : 50
% 0.23/1.42 # Proof object clause steps : 31
% 0.23/1.42 # Proof object formula steps : 19
% 0.23/1.42 # Proof object conjectures : 23
% 0.23/1.42 # Proof object clause conjectures : 20
% 0.23/1.42 # Proof object formula conjectures : 3
% 0.23/1.42 # Proof object initial clauses used : 19
% 0.23/1.42 # Proof object initial formulas used : 9
% 0.23/1.42 # Proof object generating inferences : 12
% 0.23/1.42 # Proof object simplifying inferences : 58
% 0.23/1.42 # Training examples: 0 positive, 0 negative
% 0.23/1.42 # Parsed axioms : 50
% 0.23/1.42 # Removed by relevancy pruning/SinE : 37
% 0.23/1.42 # Initial clauses : 23
% 0.23/1.42 # Removed in clause preprocessing : 0
% 0.23/1.42 # Initial clauses in saturation : 23
% 0.23/1.42 # Processed clauses : 44
% 0.23/1.42 # ...of these trivial : 0
% 0.23/1.42 # ...subsumed : 4
% 0.23/1.42 # ...remaining for further processing : 40
% 0.23/1.42 # Other redundant clauses eliminated : 0
% 0.23/1.42 # Clauses deleted for lack of memory : 0
% 0.23/1.42 # Backward-subsumed : 12
% 0.23/1.42 # Backward-rewritten : 0
% 0.23/1.42 # Generated clauses : 51
% 0.23/1.42 # ...of the previous two non-trivial : 50
% 0.23/1.42 # Contextual simplify-reflections : 7
% 0.23/1.42 # Paramodulations : 51
% 0.23/1.42 # Factorizations : 0
% 0.23/1.42 # Equation resolutions : 0
% 0.23/1.42 # Current number of processed clauses : 28
% 0.23/1.42 # Positive orientable unit clauses : 10
% 0.23/1.42 # Positive unorientable unit clauses: 0
% 0.23/1.42 # Negative unit clauses : 1
% 0.23/1.42 # Non-unit-clauses : 17
% 0.23/1.42 # Current number of unprocessed clauses: 1
% 0.23/1.42 # ...number of literals in the above : 9
% 0.23/1.42 # Current number of archived formulas : 0
% 0.23/1.42 # Current number of archived clauses : 12
% 0.23/1.42 # Clause-clause subsumption calls (NU) : 462
% 0.23/1.42 # Rec. Clause-clause subsumption calls : 40
% 0.23/1.42 # Non-unit clause-clause subsumptions : 23
% 0.23/1.42 # Unit Clause-clause subsumption calls : 2
% 0.23/1.42 # Rewrite failures with RHS unbound : 0
% 0.23/1.42 # BW rewrite match attempts : 0
% 0.23/1.42 # BW rewrite match successes : 0
% 0.23/1.42 # Condensation attempts : 0
% 0.23/1.42 # Condensation successes : 0
% 0.23/1.42 # Termbank termtop insertions : 5870
% 0.23/1.42
% 0.23/1.42 # -------------------------------------------------
% 0.23/1.42 # User time : 0.022 s
% 0.23/1.42 # System time : 0.003 s
% 0.23/1.42 # Total time : 0.025 s
% 0.23/1.42 # Maximum resident set size: 3044 pages
% 0.23/23.42 eprover: CPU time limit exceeded, terminating
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------