TSTP Solution File: SEU450+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU450+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.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 : Tue Jul 19 09:20:26 EDT 2022
% Result : Theorem 0.26s 4.43s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 55 ( 11 unt; 0 def)
% Number of atoms : 175 ( 21 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 218 ( 98 ~; 89 |; 11 &)
% ( 3 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-4 aty)
% Number of variables : 155 ( 6 sgn 74 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t61_relset_2,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X2))
=> ! [X5] :
( m2_relset_1(X5,X1,X2)
=> ( r1_tarski(X3,k8_relset_2(X2,X1,X4,k6_relset_1(X1,X2,X5)))
<=> r1_tarski(X4,k8_relset_2(X1,X2,X3,X5)) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t61_relset_2) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',reflexivity_r1_tarski) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( r1_tarski(X1,X2)
& r1_tarski(X2,X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d10_xboole_0) ).
fof(t32_relset_2,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X1))
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> ( r1_tarski(X3,X4)
=> r1_tarski(k8_relset_2(X1,X2,X4,X5),k8_relset_2(X1,X2,X3,X5)) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t32_relset_2) ).
fof(t64_relset_2,conjecture,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X2))
=> ! [X5] :
( m2_relset_1(X5,X1,X2)
=> ( k8_relset_2(X1,X2,X3,X5) = k8_relset_2(X1,X2,k8_relset_2(X2,X1,k8_relset_2(X1,X2,X3,X5),k6_relset_1(X1,X2,X5)),X5)
& k8_relset_2(X2,X1,X4,k6_relset_1(X1,X2,X5)) = k8_relset_2(X2,X1,k8_relset_2(X1,X2,k8_relset_2(X2,X1,X4,k6_relset_1(X1,X2,X5)),X5),k6_relset_1(X1,X2,X5)) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t64_relset_2) ).
fof(dt_k8_relset_2,axiom,
! [X1,X2,X3,X4] :
( ( m1_subset_1(X3,k1_zfmisc_1(X1))
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
=> m1_subset_1(k8_relset_2(X1,X2,X3,X4),k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k8_relset_2) ).
fof(dt_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_m2_relset_1) ).
fof(dt_k6_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> m2_relset_1(k6_relset_1(X1,X2,X3),X2,X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k6_relset_1) ).
fof(redefinition_k6_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> k6_relset_1(X1,X2,X3) = k4_relat_1(X3) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k6_relset_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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_m2_relset_1) ).
fof(c_0_10,plain,
! [X6,X7,X8,X9,X10] :
( ( ~ r1_tarski(X8,k8_relset_2(X7,X6,X9,k6_relset_1(X6,X7,X10)))
| r1_tarski(X9,k8_relset_2(X6,X7,X8,X10))
| ~ m2_relset_1(X10,X6,X7)
| ~ m1_subset_1(X9,k1_zfmisc_1(X7))
| ~ m1_subset_1(X8,k1_zfmisc_1(X6)) )
& ( ~ r1_tarski(X9,k8_relset_2(X6,X7,X8,X10))
| r1_tarski(X8,k8_relset_2(X7,X6,X9,k6_relset_1(X6,X7,X10)))
| ~ m2_relset_1(X10,X6,X7)
| ~ m1_subset_1(X9,k1_zfmisc_1(X7))
| ~ m1_subset_1(X8,k1_zfmisc_1(X6)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t61_relset_2])])])])])]) ).
fof(c_0_11,plain,
! [X3] : r1_tarski(X3,X3),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(c_0_12,plain,
! [X3,X4,X3,X4] :
( ( r1_tarski(X3,X4)
| X3 != X4 )
& ( r1_tarski(X4,X3)
| X3 != X4 )
& ( ~ r1_tarski(X3,X4)
| ~ r1_tarski(X4,X3)
| X3 = X4 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])])])]) ).
cnf(c_0_13,plain,
( r1_tarski(X1,k8_relset_2(X4,X2,X3,k6_relset_1(X2,X4,X5)))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X4))
| ~ m2_relset_1(X5,X2,X4)
| ~ r1_tarski(X3,k8_relset_2(X2,X4,X1,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_15,plain,
! [X6,X7,X8,X9,X10] :
( ~ m1_subset_1(X8,k1_zfmisc_1(X6))
| ~ m1_subset_1(X9,k1_zfmisc_1(X6))
| ~ m1_subset_1(X10,k1_zfmisc_1(k2_zfmisc_1(X6,X7)))
| ~ r1_tarski(X8,X9)
| r1_tarski(k8_relset_2(X6,X7,X9,X10),k8_relset_2(X6,X7,X8,X10)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t32_relset_2])])])])]) ).
cnf(c_0_16,plain,
( r1_tarski(X3,k8_relset_2(X2,X4,X1,X5))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X4))
| ~ m2_relset_1(X5,X2,X4)
| ~ r1_tarski(X1,k8_relset_2(X4,X2,X3,k6_relset_1(X2,X4,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_17,negated_conjecture,
~ ! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X2))
=> ! [X5] :
( m2_relset_1(X5,X1,X2)
=> ( k8_relset_2(X1,X2,X3,X5) = k8_relset_2(X1,X2,k8_relset_2(X2,X1,k8_relset_2(X1,X2,X3,X5),k6_relset_1(X1,X2,X5)),X5)
& k8_relset_2(X2,X1,X4,k6_relset_1(X1,X2,X5)) = k8_relset_2(X2,X1,k8_relset_2(X1,X2,k8_relset_2(X2,X1,X4,k6_relset_1(X1,X2,X5)),X5),k6_relset_1(X1,X2,X5)) ) ) ) ),
inference(assume_negation,[status(cth)],[t64_relset_2]) ).
cnf(c_0_18,plain,
( X1 = X2
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
( r1_tarski(X1,k8_relset_2(X2,X3,k8_relset_2(X3,X2,X1,X4),k6_relset_1(X3,X2,X4)))
| ~ m2_relset_1(X4,X3,X2)
| ~ m1_subset_1(k8_relset_2(X3,X2,X1,X4),k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,plain,
( r1_tarski(k8_relset_2(X1,X2,X3,X4),k8_relset_2(X1,X2,X5,X4))
| ~ r1_tarski(X5,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X5,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
( r1_tarski(X1,k8_relset_2(X2,X3,k8_relset_2(X3,X2,X1,k6_relset_1(X2,X3,X4)),X4))
| ~ m2_relset_1(X4,X2,X3)
| ~ m1_subset_1(k8_relset_2(X3,X2,X1,k6_relset_1(X2,X3,X4)),k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
inference(spm,[status(thm)],[c_0_16,c_0_14]) ).
fof(c_0_22,plain,
! [X5,X6,X7,X8] :
( ~ m1_subset_1(X7,k1_zfmisc_1(X5))
| ~ m1_subset_1(X8,k1_zfmisc_1(k2_zfmisc_1(X5,X6)))
| m1_subset_1(k8_relset_2(X5,X6,X7,X8),k1_zfmisc_1(X6)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relset_2])]) ).
fof(c_0_23,negated_conjecture,
( m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0))
& m1_subset_1(esk4_0,k1_zfmisc_1(esk2_0))
& m2_relset_1(esk5_0,esk1_0,esk2_0)
& ( k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0) != k8_relset_2(esk1_0,esk2_0,k8_relset_2(esk2_0,esk1_0,k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k6_relset_1(esk1_0,esk2_0,esk5_0)),esk5_0)
| k8_relset_2(esk2_0,esk1_0,esk4_0,k6_relset_1(esk1_0,esk2_0,esk5_0)) != k8_relset_2(esk2_0,esk1_0,k8_relset_2(esk1_0,esk2_0,k8_relset_2(esk2_0,esk1_0,esk4_0,k6_relset_1(esk1_0,esk2_0,esk5_0)),esk5_0),k6_relset_1(esk1_0,esk2_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_17])])])])]) ).
cnf(c_0_24,plain,
( k8_relset_2(X1,X2,k8_relset_2(X2,X1,X3,X4),k6_relset_1(X2,X1,X4)) = X3
| ~ r1_tarski(k8_relset_2(X1,X2,k8_relset_2(X2,X1,X3,X4),k6_relset_1(X2,X1,X4)),X3)
| ~ m2_relset_1(X4,X2,X1)
| ~ m1_subset_1(k8_relset_2(X2,X1,X3,X4),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,plain,
( r1_tarski(k8_relset_2(X1,X2,k8_relset_2(X3,X4,k8_relset_2(X4,X3,X5,k6_relset_1(X3,X4,X6)),X6),X7),k8_relset_2(X1,X2,X5,X7))
| ~ m2_relset_1(X6,X3,X4)
| ~ m1_subset_1(k8_relset_2(X3,X4,k8_relset_2(X4,X3,X5,k6_relset_1(X3,X4,X6)),X6),k1_zfmisc_1(X1))
| ~ m1_subset_1(k8_relset_2(X4,X3,X5,k6_relset_1(X3,X4,X6)),k1_zfmisc_1(X3))
| ~ m1_subset_1(X7,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X5,k1_zfmisc_1(X1))
| ~ m1_subset_1(X5,k1_zfmisc_1(X4)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
( m1_subset_1(k8_relset_2(X1,X2,X3,X4),k1_zfmisc_1(X2))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_27,plain,
! [X4,X5,X6] :
( ~ m2_relset_1(X6,X4,X5)
| m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,X5))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
cnf(c_0_28,negated_conjecture,
( k8_relset_2(esk2_0,esk1_0,esk4_0,k6_relset_1(esk1_0,esk2_0,esk5_0)) != k8_relset_2(esk2_0,esk1_0,k8_relset_2(esk1_0,esk2_0,k8_relset_2(esk2_0,esk1_0,esk4_0,k6_relset_1(esk1_0,esk2_0,esk5_0)),esk5_0),k6_relset_1(esk1_0,esk2_0,esk5_0))
| k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0) != k8_relset_2(esk1_0,esk2_0,k8_relset_2(esk2_0,esk1_0,k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k6_relset_1(esk1_0,esk2_0,esk5_0)),esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,plain,
( k8_relset_2(X1,X2,k8_relset_2(X2,X1,k8_relset_2(X1,X2,X3,k6_relset_1(X2,X1,X4)),X4),k6_relset_1(X2,X1,X4)) = k8_relset_2(X1,X2,X3,k6_relset_1(X2,X1,X4))
| ~ m2_relset_1(X4,X2,X1)
| ~ m1_subset_1(k8_relset_2(X2,X1,k8_relset_2(X1,X2,X3,k6_relset_1(X2,X1,X4)),X4),k1_zfmisc_1(X1))
| ~ m1_subset_1(k6_relset_1(X2,X1,X4),k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_30,negated_conjecture,
m2_relset_1(esk5_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,plain,
( k8_relset_2(X1,X2,k8_relset_2(X2,X1,X3,k6_relset_1(X1,X2,X4)),X4) = X3
| ~ r1_tarski(k8_relset_2(X1,X2,k8_relset_2(X2,X1,X3,k6_relset_1(X1,X2,X4)),X4),X3)
| ~ m2_relset_1(X4,X1,X2)
| ~ m1_subset_1(k8_relset_2(X2,X1,X3,k6_relset_1(X1,X2,X4)),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(spm,[status(thm)],[c_0_18,c_0_21]) ).
cnf(c_0_33,plain,
( r1_tarski(k8_relset_2(X1,X2,k8_relset_2(X3,X4,k8_relset_2(X4,X3,X5,X6),k6_relset_1(X4,X3,X6)),X7),k8_relset_2(X1,X2,X5,X7))
| ~ m2_relset_1(X6,X4,X3)
| ~ m1_subset_1(k8_relset_2(X3,X4,k8_relset_2(X4,X3,X5,X6),k6_relset_1(X4,X3,X6)),k1_zfmisc_1(X1))
| ~ m1_subset_1(k8_relset_2(X4,X3,X5,X6),k1_zfmisc_1(X3))
| ~ m1_subset_1(X7,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X5,k1_zfmisc_1(X1))
| ~ m1_subset_1(X5,k1_zfmisc_1(X4)) ),
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_34,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_35,plain,
! [X4,X5,X6] :
( ~ m1_relset_1(X6,X4,X5)
| m2_relset_1(k6_relset_1(X4,X5,X6),X5,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_relset_1])]) ).
fof(c_0_36,plain,
! [X4,X5,X6] :
( ~ m1_relset_1(X6,X4,X5)
| k6_relset_1(X4,X5,X6) = k4_relat_1(X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k6_relset_1])]) ).
cnf(c_0_37,negated_conjecture,
( k8_relset_2(esk1_0,esk2_0,k8_relset_2(esk2_0,esk1_0,k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k6_relset_1(esk1_0,esk2_0,esk5_0)),esk5_0) != k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0)
| ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,k8_relset_2(esk2_0,esk1_0,esk4_0,k6_relset_1(esk1_0,esk2_0,esk5_0)),esk5_0),k1_zfmisc_1(esk2_0))
| ~ m1_subset_1(k6_relset_1(esk1_0,esk2_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31])]) ).
cnf(c_0_38,plain,
( k8_relset_2(X1,X2,k8_relset_2(X2,X1,k8_relset_2(X1,X2,X3,X4),k6_relset_1(X1,X2,X4)),X4) = k8_relset_2(X1,X2,X3,X4)
| ~ m2_relset_1(X4,X1,X2)
| ~ m1_subset_1(k8_relset_2(X2,X1,k8_relset_2(X1,X2,X3,X4),k6_relset_1(X1,X2,X4)),k1_zfmisc_1(X1))
| ~ m1_subset_1(k8_relset_2(X1,X2,X3,X4),k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_39,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_40,plain,
( m2_relset_1(k6_relset_1(X1,X2,X3),X2,X1)
| ~ m1_relset_1(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_41,plain,
( k6_relset_1(X1,X2,X3) = k4_relat_1(X3)
| ~ m1_relset_1(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_42,plain,
! [X4,X5,X6,X4,X5,X6] :
( ( ~ m2_relset_1(X6,X4,X5)
| m1_relset_1(X6,X4,X5) )
& ( ~ m1_relset_1(X6,X4,X5)
| m2_relset_1(X6,X4,X5) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])])]) ).
cnf(c_0_43,negated_conjecture,
( ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,k8_relset_2(esk2_0,esk1_0,esk4_0,k6_relset_1(esk1_0,esk2_0,esk5_0)),esk5_0),k1_zfmisc_1(esk2_0))
| ~ m1_subset_1(k6_relset_1(esk1_0,esk2_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0)))
| ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_30]),c_0_39])]),c_0_26]) ).
cnf(c_0_44,negated_conjecture,
m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
inference(spm,[status(thm)],[c_0_34,c_0_30]) ).
cnf(c_0_45,plain,
( m2_relset_1(k4_relat_1(X1),X2,X3)
| ~ m1_relset_1(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_47,negated_conjecture,
( ~ m1_subset_1(k8_relset_2(esk2_0,esk1_0,esk4_0,k6_relset_1(esk1_0,esk2_0,esk5_0)),k1_zfmisc_1(esk1_0))
| ~ m1_subset_1(k6_relset_1(esk1_0,esk2_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0)))
| ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_26]),c_0_44])]) ).
cnf(c_0_48,plain,
( m2_relset_1(k4_relat_1(X1),X2,X3)
| ~ m2_relset_1(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_49,negated_conjecture,
( ~ m1_subset_1(k6_relset_1(esk1_0,esk2_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0)))
| ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_26]),c_0_31])]) ).
cnf(c_0_50,plain,
( m1_subset_1(k4_relat_1(X1),k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_48]) ).
cnf(c_0_51,negated_conjecture,
~ m1_subset_1(k6_relset_1(esk1_0,esk2_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_26]),c_0_44]),c_0_39])]) ).
cnf(c_0_52,negated_conjecture,
m1_subset_1(k4_relat_1(esk5_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0))),
inference(spm,[status(thm)],[c_0_50,c_0_30]) ).
cnf(c_0_53,negated_conjecture,
~ m1_relset_1(esk5_0,esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_41]),c_0_52])]) ).
cnf(c_0_54,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_46]),c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU450+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n026.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 Jun 19 18:18:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.26/4.43 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.26/4.43 # Preprocessing time : 0.017 s
% 0.26/4.43
% 0.26/4.43 # Proof found!
% 0.26/4.43 # SZS status Theorem
% 0.26/4.43 # SZS output start CNFRefutation
% See solution above
% 0.26/4.43 # Proof object total steps : 55
% 0.26/4.43 # Proof object clause steps : 34
% 0.26/4.43 # Proof object formula steps : 21
% 0.26/4.43 # Proof object conjectures : 16
% 0.26/4.43 # Proof object clause conjectures : 13
% 0.26/4.43 # Proof object formula conjectures : 3
% 0.26/4.43 # Proof object initial clauses used : 14
% 0.26/4.43 # Proof object initial formulas used : 10
% 0.26/4.43 # Proof object generating inferences : 20
% 0.26/4.43 # Proof object simplifying inferences : 20
% 0.26/4.43 # Training examples: 0 positive, 0 negative
% 0.26/4.43 # Parsed axioms : 57
% 0.26/4.43 # Removed by relevancy pruning/SinE : 0
% 0.26/4.43 # Initial clauses : 79
% 0.26/4.43 # Removed in clause preprocessing : 7
% 0.26/4.43 # Initial clauses in saturation : 72
% 0.26/4.43 # Processed clauses : 8697
% 0.26/4.43 # ...of these trivial : 27
% 0.26/4.43 # ...subsumed : 4738
% 0.26/4.43 # ...remaining for further processing : 3932
% 0.26/4.43 # Other redundant clauses eliminated : 2
% 0.26/4.43 # Clauses deleted for lack of memory : 0
% 0.26/4.43 # Backward-subsumed : 427
% 0.26/4.43 # Backward-rewritten : 9
% 0.26/4.43 # Generated clauses : 125090
% 0.26/4.43 # ...of the previous two non-trivial : 118749
% 0.26/4.43 # Contextual simplify-reflections : 5439
% 0.26/4.43 # Paramodulations : 125067
% 0.26/4.43 # Factorizations : 0
% 0.26/4.43 # Equation resolutions : 2
% 0.26/4.43 # Current number of processed clauses : 3486
% 0.26/4.43 # Positive orientable unit clauses : 212
% 0.26/4.43 # Positive unorientable unit clauses: 0
% 0.26/4.43 # Negative unit clauses : 6
% 0.26/4.43 # Non-unit-clauses : 3268
% 0.26/4.43 # Current number of unprocessed clauses: 104043
% 0.26/4.43 # ...number of literals in the above : 753354
% 0.26/4.43 # Current number of archived formulas : 0
% 0.26/4.43 # Current number of archived clauses : 436
% 0.26/4.43 # Clause-clause subsumption calls (NU) : 3431307
% 0.26/4.43 # Rec. Clause-clause subsumption calls : 541225
% 0.26/4.43 # Non-unit clause-clause subsumptions : 10453
% 0.26/4.43 # Unit Clause-clause subsumption calls : 5891
% 0.26/4.43 # Rewrite failures with RHS unbound : 0
% 0.26/4.43 # BW rewrite match attempts : 1010
% 0.26/4.43 # BW rewrite match successes : 6
% 0.26/4.43 # Condensation attempts : 0
% 0.26/4.43 # Condensation successes : 0
% 0.26/4.43 # Termbank termtop insertions : 4765685
% 0.26/4.43
% 0.26/4.43 # -------------------------------------------------
% 0.26/4.43 # User time : 3.242 s
% 0.26/4.43 # System time : 0.074 s
% 0.26/4.43 # Total time : 3.316 s
% 0.26/4.43 # Maximum resident set size: 117896 pages
% 0.26/23.41 eprover: CPU time limit exceeded, terminating
% 0.26/23.41 eprover: CPU time limit exceeded, terminating
% 0.26/23.42 eprover: CPU time limit exceeded, terminating
% 0.26/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.43 eprover: No such file or directory
% 0.26/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.43 eprover: No such file or directory
% 0.26/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.43 eprover: No such file or directory
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------