TSTP Solution File: SEU213+3 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SEU213+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n029.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:25:17 EDT 2023
% Result : Theorem 1.14s 0.60s
% Output : CNFRefutation 1.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 6
% Syntax : Number of formulae : 55 ( 13 unt; 0 def)
% Number of atoms : 259 ( 32 equ)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 336 ( 132 ~; 144 |; 34 &)
% ( 10 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-5 aty)
% Number of variables : 100 ( 2 sgn; 47 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d4_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2,X3] :
( ( in(X2,relation_dom(X1))
=> ( X3 = apply(X1,X2)
<=> in(ordered_pair(X2,X3),X1) ) )
& ( ~ in(X2,relation_dom(X1))
=> ( X3 = apply(X1,X2)
<=> X3 = empty_set ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.LCp5ofgU2O/E---3.1_10359.p',d4_funct_1) ).
fof(t21_funct_1,conjecture,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X1,relation_dom(relation_composition(X3,X2)))
<=> ( in(X1,relation_dom(X3))
& in(apply(X3,X1),relation_dom(X2)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.LCp5ofgU2O/E---3.1_10359.p',t21_funct_1) ).
fof(dt_k5_relat_1,axiom,
! [X1,X2] :
( ( relation(X1)
& relation(X2) )
=> relation(relation_composition(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.LCp5ofgU2O/E---3.1_10359.p',dt_k5_relat_1) ).
fof(d8_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ! [X3] :
( relation(X3)
=> ( X3 = relation_composition(X1,X2)
<=> ! [X4,X5] :
( in(ordered_pair(X4,X5),X3)
<=> ? [X6] :
( in(ordered_pair(X4,X6),X1)
& in(ordered_pair(X6,X5),X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.LCp5ofgU2O/E---3.1_10359.p',d8_relat_1) ).
fof(fc1_funct_1,axiom,
! [X1,X2] :
( ( relation(X1)
& function(X1)
& relation(X2)
& function(X2) )
=> ( relation(relation_composition(X1,X2))
& function(relation_composition(X1,X2)) ) ),
file('/export/starexec/sandbox/tmp/tmp.LCp5ofgU2O/E---3.1_10359.p',fc1_funct_1) ).
fof(d4_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( X2 = relation_dom(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] : in(ordered_pair(X3,X4),X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.LCp5ofgU2O/E---3.1_10359.p',d4_relat_1) ).
fof(c_0_6,plain,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2,X3] :
( ( in(X2,relation_dom(X1))
=> ( X3 = apply(X1,X2)
<=> in(ordered_pair(X2,X3),X1) ) )
& ( ~ in(X2,relation_dom(X1))
=> ( X3 = apply(X1,X2)
<=> X3 = empty_set ) ) ) ),
inference(fof_simplification,[status(thm)],[d4_funct_1]) ).
fof(c_0_7,plain,
! [X30,X31,X32] :
( ( X32 != apply(X30,X31)
| in(ordered_pair(X31,X32),X30)
| ~ in(X31,relation_dom(X30))
| ~ relation(X30)
| ~ function(X30) )
& ( ~ in(ordered_pair(X31,X32),X30)
| X32 = apply(X30,X31)
| ~ in(X31,relation_dom(X30))
| ~ relation(X30)
| ~ function(X30) )
& ( X32 != apply(X30,X31)
| X32 = empty_set
| in(X31,relation_dom(X30))
| ~ relation(X30)
| ~ function(X30) )
& ( X32 != empty_set
| X32 = apply(X30,X31)
| in(X31,relation_dom(X30))
| ~ relation(X30)
| ~ function(X30) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
fof(c_0_8,negated_conjecture,
~ ! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X1,relation_dom(relation_composition(X3,X2)))
<=> ( in(X1,relation_dom(X3))
& in(apply(X3,X1),relation_dom(X2)) ) ) ) ),
inference(assume_negation,[status(cth)],[t21_funct_1]) ).
cnf(c_0_9,plain,
( in(ordered_pair(X3,X1),X2)
| X1 != apply(X2,X3)
| ~ in(X3,relation_dom(X2))
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,negated_conjecture,
( relation(esk2_0)
& function(esk2_0)
& relation(esk3_0)
& function(esk3_0)
& ( ~ in(esk1_0,relation_dom(relation_composition(esk3_0,esk2_0)))
| ~ in(esk1_0,relation_dom(esk3_0))
| ~ in(apply(esk3_0,esk1_0),relation_dom(esk2_0)) )
& ( in(esk1_0,relation_dom(esk3_0))
| in(esk1_0,relation_dom(relation_composition(esk3_0,esk2_0))) )
& ( in(apply(esk3_0,esk1_0),relation_dom(esk2_0))
| in(esk1_0,relation_dom(relation_composition(esk3_0,esk2_0))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).
cnf(c_0_11,plain,
( in(ordered_pair(X1,apply(X2,X1)),X2)
| ~ relation(X2)
| ~ function(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(er,[status(thm)],[c_0_9]) ).
cnf(c_0_12,negated_conjecture,
( in(esk1_0,relation_dom(esk3_0))
| in(esk1_0,relation_dom(relation_composition(esk3_0,esk2_0))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_13,plain,
! [X46,X47] :
( ~ relation(X46)
| ~ relation(X47)
| relation(relation_composition(X46,X47)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_relat_1])]) ).
fof(c_0_14,plain,
! [X33,X34,X35,X36,X37,X39,X40,X41,X44] :
( ( in(ordered_pair(X36,esk7_5(X33,X34,X35,X36,X37)),X33)
| ~ in(ordered_pair(X36,X37),X35)
| X35 != relation_composition(X33,X34)
| ~ relation(X35)
| ~ relation(X34)
| ~ relation(X33) )
& ( in(ordered_pair(esk7_5(X33,X34,X35,X36,X37),X37),X34)
| ~ in(ordered_pair(X36,X37),X35)
| X35 != relation_composition(X33,X34)
| ~ relation(X35)
| ~ relation(X34)
| ~ relation(X33) )
& ( ~ in(ordered_pair(X39,X41),X33)
| ~ in(ordered_pair(X41,X40),X34)
| in(ordered_pair(X39,X40),X35)
| X35 != relation_composition(X33,X34)
| ~ relation(X35)
| ~ relation(X34)
| ~ relation(X33) )
& ( ~ in(ordered_pair(esk8_3(X33,X34,X35),esk9_3(X33,X34,X35)),X35)
| ~ in(ordered_pair(esk8_3(X33,X34,X35),X44),X33)
| ~ in(ordered_pair(X44,esk9_3(X33,X34,X35)),X34)
| X35 = relation_composition(X33,X34)
| ~ relation(X35)
| ~ relation(X34)
| ~ relation(X33) )
& ( in(ordered_pair(esk8_3(X33,X34,X35),esk10_3(X33,X34,X35)),X33)
| in(ordered_pair(esk8_3(X33,X34,X35),esk9_3(X33,X34,X35)),X35)
| X35 = relation_composition(X33,X34)
| ~ relation(X35)
| ~ relation(X34)
| ~ relation(X33) )
& ( in(ordered_pair(esk10_3(X33,X34,X35),esk9_3(X33,X34,X35)),X34)
| in(ordered_pair(esk8_3(X33,X34,X35),esk9_3(X33,X34,X35)),X35)
| X35 = relation_composition(X33,X34)
| ~ relation(X35)
| ~ relation(X34)
| ~ relation(X33) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_relat_1])])])])])]) ).
cnf(c_0_15,negated_conjecture,
( in(ordered_pair(esk1_0,apply(relation_composition(esk3_0,esk2_0),esk1_0)),relation_composition(esk3_0,esk2_0))
| in(esk1_0,relation_dom(esk3_0))
| ~ relation(relation_composition(esk3_0,esk2_0))
| ~ function(relation_composition(esk3_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X1)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,negated_conjecture,
relation(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,negated_conjecture,
relation(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_19,plain,
! [X50,X51] :
( ( relation(relation_composition(X50,X51))
| ~ relation(X50)
| ~ function(X50)
| ~ relation(X51)
| ~ function(X51) )
& ( function(relation_composition(X50,X51))
| ~ relation(X50)
| ~ function(X50)
| ~ relation(X51)
| ~ function(X51) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_funct_1])])]) ).
fof(c_0_20,plain,
! [X18,X19,X20,X22,X23,X24,X26] :
( ( ~ in(X20,X19)
| in(ordered_pair(X20,esk4_3(X18,X19,X20)),X18)
| X19 != relation_dom(X18)
| ~ relation(X18) )
& ( ~ in(ordered_pair(X22,X23),X18)
| in(X22,X19)
| X19 != relation_dom(X18)
| ~ relation(X18) )
& ( ~ in(esk5_2(X18,X24),X24)
| ~ in(ordered_pair(esk5_2(X18,X24),X26),X18)
| X24 = relation_dom(X18)
| ~ relation(X18) )
& ( in(esk5_2(X18,X24),X24)
| in(ordered_pair(esk5_2(X18,X24),esk6_2(X18,X24)),X18)
| X24 = relation_dom(X18)
| ~ relation(X18) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_relat_1])])])])])]) ).
cnf(c_0_21,plain,
( in(ordered_pair(X1,esk7_5(X2,X3,X4,X1,X5)),X2)
| ~ in(ordered_pair(X1,X5),X4)
| X4 != relation_composition(X2,X3)
| ~ relation(X4)
| ~ relation(X3)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,negated_conjecture,
( in(ordered_pair(esk1_0,apply(relation_composition(esk3_0,esk2_0),esk1_0)),relation_composition(esk3_0,esk2_0))
| in(esk1_0,relation_dom(esk3_0))
| ~ function(relation_composition(esk3_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18])]) ).
cnf(c_0_23,plain,
( function(relation_composition(X1,X2))
| ~ relation(X1)
| ~ function(X1)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,negated_conjecture,
function(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_25,negated_conjecture,
function(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_26,plain,
( in(X1,X4)
| ~ in(ordered_pair(X1,X2),X3)
| X4 != relation_dom(X3)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,plain,
( in(ordered_pair(X1,esk7_5(X2,X3,relation_composition(X2,X3),X1,X4)),X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(ordered_pair(X1,X4),relation_composition(X2,X3)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_21]),c_0_16]) ).
cnf(c_0_28,negated_conjecture,
( in(ordered_pair(esk1_0,apply(relation_composition(esk3_0,esk2_0),esk1_0)),relation_composition(esk3_0,esk2_0))
| in(esk1_0,relation_dom(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_22,c_0_23]),c_0_17]),c_0_18]),c_0_24]),c_0_25])]) ).
cnf(c_0_29,plain,
( in(ordered_pair(X1,X4),X6)
| ~ in(ordered_pair(X1,X2),X3)
| ~ in(ordered_pair(X2,X4),X5)
| X6 != relation_composition(X3,X5)
| ~ relation(X6)
| ~ relation(X5)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_30,negated_conjecture,
( in(apply(esk3_0,esk1_0),relation_dom(esk2_0))
| in(esk1_0,relation_dom(relation_composition(esk3_0,esk2_0))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_31,plain,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ in(ordered_pair(X1,X3),X2) ),
inference(er,[status(thm)],[c_0_26]) ).
cnf(c_0_32,negated_conjecture,
( in(ordered_pair(esk1_0,esk7_5(esk3_0,esk2_0,relation_composition(esk3_0,esk2_0),esk1_0,apply(relation_composition(esk3_0,esk2_0),esk1_0))),esk3_0)
| in(esk1_0,relation_dom(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_17]),c_0_18])]) ).
cnf(c_0_33,plain,
( in(ordered_pair(X1,X2),relation_composition(X3,X4))
| ~ relation(X4)
| ~ relation(X3)
| ~ in(ordered_pair(X5,X2),X4)
| ~ in(ordered_pair(X1,X5),X3) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_29]),c_0_16]) ).
cnf(c_0_34,negated_conjecture,
( in(ordered_pair(apply(esk3_0,esk1_0),apply(esk2_0,apply(esk3_0,esk1_0))),esk2_0)
| in(esk1_0,relation_dom(relation_composition(esk3_0,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_30]),c_0_17]),c_0_24])]) ).
cnf(c_0_35,negated_conjecture,
in(esk1_0,relation_dom(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_18])]) ).
cnf(c_0_36,negated_conjecture,
( in(ordered_pair(X1,apply(esk2_0,apply(esk3_0,esk1_0))),relation_composition(X2,esk2_0))
| in(esk1_0,relation_dom(relation_composition(esk3_0,esk2_0)))
| ~ relation(X2)
| ~ in(ordered_pair(X1,apply(esk3_0,esk1_0)),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_17])]) ).
cnf(c_0_37,negated_conjecture,
in(ordered_pair(esk1_0,apply(esk3_0,esk1_0)),esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_35]),c_0_18]),c_0_25])]) ).
cnf(c_0_38,negated_conjecture,
( in(ordered_pair(esk1_0,apply(esk2_0,apply(esk3_0,esk1_0))),relation_composition(esk3_0,esk2_0))
| in(esk1_0,relation_dom(relation_composition(esk3_0,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_18])]) ).
cnf(c_0_39,negated_conjecture,
( in(esk1_0,relation_dom(relation_composition(esk3_0,esk2_0)))
| ~ relation(relation_composition(esk3_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_31,c_0_38]) ).
cnf(c_0_40,negated_conjecture,
in(esk1_0,relation_dom(relation_composition(esk3_0,esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_16]),c_0_17]),c_0_18])]) ).
cnf(c_0_41,negated_conjecture,
( in(ordered_pair(esk1_0,apply(relation_composition(esk3_0,esk2_0),esk1_0)),relation_composition(esk3_0,esk2_0))
| ~ relation(relation_composition(esk3_0,esk2_0))
| ~ function(relation_composition(esk3_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_11,c_0_40]) ).
cnf(c_0_42,negated_conjecture,
( in(ordered_pair(esk1_0,apply(relation_composition(esk3_0,esk2_0),esk1_0)),relation_composition(esk3_0,esk2_0))
| ~ function(relation_composition(esk3_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_16]),c_0_17]),c_0_18])]) ).
cnf(c_0_43,plain,
( X2 = apply(X3,X1)
| ~ in(ordered_pair(X1,X2),X3)
| ~ in(X1,relation_dom(X3))
| ~ relation(X3)
| ~ function(X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_44,negated_conjecture,
in(ordered_pair(esk1_0,apply(relation_composition(esk3_0,esk2_0),esk1_0)),relation_composition(esk3_0,esk2_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_42,c_0_23]),c_0_17]),c_0_18]),c_0_24]),c_0_25])]) ).
cnf(c_0_45,plain,
( in(ordered_pair(esk7_5(X1,X2,X3,X4,X5),X5),X2)
| ~ in(ordered_pair(X4,X5),X3)
| X3 != relation_composition(X1,X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_46,negated_conjecture,
( X1 = apply(esk3_0,esk1_0)
| ~ in(ordered_pair(esk1_0,X1),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_35]),c_0_18]),c_0_25])]) ).
cnf(c_0_47,negated_conjecture,
in(ordered_pair(esk1_0,esk7_5(esk3_0,esk2_0,relation_composition(esk3_0,esk2_0),esk1_0,apply(relation_composition(esk3_0,esk2_0),esk1_0))),esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_44]),c_0_17]),c_0_18])]) ).
cnf(c_0_48,negated_conjecture,
( ~ in(esk1_0,relation_dom(relation_composition(esk3_0,esk2_0)))
| ~ in(esk1_0,relation_dom(esk3_0))
| ~ in(apply(esk3_0,esk1_0),relation_dom(esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_49,plain,
( in(ordered_pair(esk7_5(X1,X2,relation_composition(X1,X2),X3,X4),X4),X2)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(ordered_pair(X3,X4),relation_composition(X1,X2)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_45]),c_0_16]) ).
cnf(c_0_50,negated_conjecture,
esk7_5(esk3_0,esk2_0,relation_composition(esk3_0,esk2_0),esk1_0,apply(relation_composition(esk3_0,esk2_0),esk1_0)) = apply(esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_51,negated_conjecture,
( ~ in(esk1_0,relation_dom(relation_composition(esk3_0,esk2_0)))
| ~ in(apply(esk3_0,esk1_0),relation_dom(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_35])]) ).
cnf(c_0_52,negated_conjecture,
in(ordered_pair(apply(esk3_0,esk1_0),apply(relation_composition(esk3_0,esk2_0),esk1_0)),esk2_0),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_44]),c_0_17]),c_0_18])]),c_0_50]) ).
cnf(c_0_53,negated_conjecture,
~ in(apply(esk3_0,esk1_0),relation_dom(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_40])]) ).
cnf(c_0_54,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_52]),c_0_17])]),c_0_53]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU213+3 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.32 % Computer : n029.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 2400
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon Oct 2 09:31:51 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.44 Running first-order theorem proving
% 0.18/0.44 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/tmp/tmp.LCp5ofgU2O/E---3.1_10359.p
% 1.14/0.60 # Version: 3.1pre001
% 1.14/0.60 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.14/0.60 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.14/0.60 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.14/0.60 # Starting new_bool_3 with 300s (1) cores
% 1.14/0.60 # Starting new_bool_1 with 300s (1) cores
% 1.14/0.60 # Starting sh5l with 300s (1) cores
% 1.14/0.60 # new_bool_3 with pid 10438 completed with status 0
% 1.14/0.60 # Result found by new_bool_3
% 1.14/0.60 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.14/0.60 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.14/0.60 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.14/0.60 # Starting new_bool_3 with 300s (1) cores
% 1.14/0.60 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.14/0.60 # Search class: FGHSS-FFMM32-SFFFFFNN
% 1.14/0.60 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.14/0.60 # Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 181s (1) cores
% 1.14/0.60 # G-E--_215_C46_F1_AE_CS_SP_PS_S2S with pid 10441 completed with status 0
% 1.14/0.60 # Result found by G-E--_215_C46_F1_AE_CS_SP_PS_S2S
% 1.14/0.60 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.14/0.60 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.14/0.60 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.14/0.60 # Starting new_bool_3 with 300s (1) cores
% 1.14/0.60 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.14/0.60 # Search class: FGHSS-FFMM32-SFFFFFNN
% 1.14/0.60 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.14/0.60 # Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 181s (1) cores
% 1.14/0.60 # Preprocessing time : 0.001 s
% 1.14/0.60 # Presaturation interreduction done
% 1.14/0.60
% 1.14/0.60 # Proof found!
% 1.14/0.60 # SZS status Theorem
% 1.14/0.60 # SZS output start CNFRefutation
% See solution above
% 1.14/0.60 # Parsed axioms : 40
% 1.14/0.60 # Removed by relevancy pruning/SinE : 8
% 1.14/0.60 # Initial clauses : 59
% 1.14/0.60 # Removed in clause preprocessing : 0
% 1.14/0.60 # Initial clauses in saturation : 59
% 1.14/0.60 # Processed clauses : 1842
% 1.14/0.60 # ...of these trivial : 2
% 1.14/0.60 # ...subsumed : 1449
% 1.14/0.60 # ...remaining for further processing : 391
% 1.14/0.60 # Other redundant clauses eliminated : 0
% 1.14/0.60 # Clauses deleted for lack of memory : 0
% 1.14/0.60 # Backward-subsumed : 18
% 1.14/0.60 # Backward-rewritten : 116
% 1.14/0.60 # Generated clauses : 4992
% 1.14/0.60 # ...of the previous two non-redundant : 4846
% 1.14/0.60 # ...aggressively subsumed : 0
% 1.14/0.60 # Contextual simplify-reflections : 23
% 1.14/0.60 # Paramodulations : 4968
% 1.14/0.60 # Factorizations : 2
% 1.14/0.60 # NegExts : 0
% 1.14/0.60 # Equation resolutions : 22
% 1.14/0.60 # Total rewrite steps : 1447
% 1.14/0.60 # Propositional unsat checks : 0
% 1.14/0.60 # Propositional check models : 0
% 1.14/0.60 # Propositional check unsatisfiable : 0
% 1.14/0.60 # Propositional clauses : 0
% 1.14/0.60 # Propositional clauses after purity: 0
% 1.14/0.60 # Propositional unsat core size : 0
% 1.14/0.60 # Propositional preprocessing time : 0.000
% 1.14/0.60 # Propositional encoding time : 0.000
% 1.14/0.60 # Propositional solver time : 0.000
% 1.14/0.60 # Success case prop preproc time : 0.000
% 1.14/0.60 # Success case prop encoding time : 0.000
% 1.14/0.60 # Success case prop solver time : 0.000
% 1.14/0.60 # Current number of processed clauses : 200
% 1.14/0.60 # Positive orientable unit clauses : 30
% 1.14/0.60 # Positive unorientable unit clauses: 0
% 1.14/0.60 # Negative unit clauses : 15
% 1.14/0.60 # Non-unit-clauses : 155
% 1.14/0.60 # Current number of unprocessed clauses: 3016
% 1.14/0.60 # ...number of literals in the above : 18610
% 1.14/0.60 # Current number of archived formulas : 0
% 1.14/0.60 # Current number of archived clauses : 191
% 1.14/0.60 # Clause-clause subsumption calls (NU) : 38545
% 1.14/0.60 # Rec. Clause-clause subsumption calls : 11573
% 1.14/0.60 # Non-unit clause-clause subsumptions : 1134
% 1.14/0.60 # Unit Clause-clause subsumption calls : 485
% 1.14/0.60 # Rewrite failures with RHS unbound : 0
% 1.14/0.60 # BW rewrite match attempts : 7
% 1.14/0.60 # BW rewrite match successes : 7
% 1.14/0.60 # Condensation attempts : 0
% 1.14/0.60 # Condensation successes : 0
% 1.14/0.60 # Termbank termtop insertions : 88389
% 1.14/0.60
% 1.14/0.60 # -------------------------------------------------
% 1.14/0.60 # User time : 0.135 s
% 1.14/0.60 # System time : 0.005 s
% 1.14/0.60 # Total time : 0.140 s
% 1.14/0.60 # Maximum resident set size: 1856 pages
% 1.14/0.60
% 1.14/0.60 # -------------------------------------------------
% 1.14/0.60 # User time : 0.137 s
% 1.14/0.60 # System time : 0.006 s
% 1.14/0.60 # Total time : 0.143 s
% 1.14/0.60 # Maximum resident set size: 1728 pages
% 1.14/0.60 % E---3.1 exiting
% 1.14/0.60 % E---3.1 exiting
%------------------------------------------------------------------------------