%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU213+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n009.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 09:17:52 EDT 2022
% Result : Theorem 0.39s 24.58s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 58 ( 9 unt; 0 def)
% Number of atoms : 344 ( 56 equ)
% Maximal formula atoms : 38 ( 5 avg)
% Number of connectives : 501 ( 215 ~; 223 |; 38 &)
% ( 9 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 4 con; 0-5 aty)
% Number of variables : 163 ( 12 sgn 60 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/solver/bin/../tmp/theBenchmark.p',d4_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/sandbox2/solver/bin/../tmp/theBenchmark.p',d8_relat_1) ).
fof(dt_k5_relat_1,axiom,
! [X1,X2] :
( ( relation(X1)
& relation(X2) )
=> relation(relation_composition(X1,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_k5_relat_1) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.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/sandbox2/solver/bin/../tmp/theBenchmark.p',t21_funct_1) ).
fof(t20_relat_1,lemma,
! [X1,X2,X3] :
( relation(X3)
=> ( in(ordered_pair(X1,X2),X3)
=> ( in(X1,relation_dom(X3))
& in(X2,relation_rng(X3)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t20_relat_1) ).
fof(t8_funct_1,lemma,
! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( in(ordered_pair(X1,X2),X3)
<=> ( in(X1,relation_dom(X3))
& X2 = apply(X3,X1) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t8_funct_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/sandbox2/solver/bin/../tmp/theBenchmark.p',fc1_funct_1) ).
fof(c_0_8,plain,
! [X5,X6,X7,X7,X9,X6,X11] :
( ( ~ in(X7,X6)
| in(ordered_pair(X7,esk5_3(X5,X6,X7)),X5)
| X6 != relation_dom(X5)
| ~ relation(X5) )
& ( ~ in(ordered_pair(X7,X9),X5)
| in(X7,X6)
| X6 != relation_dom(X5)
| ~ relation(X5) )
& ( ~ in(esk6_2(X5,X6),X6)
| ~ in(ordered_pair(esk6_2(X5,X6),X11),X5)
| X6 = relation_dom(X5)
| ~ relation(X5) )
& ( in(esk6_2(X5,X6),X6)
| in(ordered_pair(esk6_2(X5,X6),esk7_2(X5,X6)),X5)
| X6 = relation_dom(X5)
| ~ relation(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_relat_1])])])])])])]) ).
fof(c_0_9,plain,
! [X7,X8,X9,X10,X11,X10,X11,X13,X16] :
( ( in(ordered_pair(X10,esk8_5(X7,X8,X9,X10,X11)),X7)
| ~ in(ordered_pair(X10,X11),X9)
| X9 != relation_composition(X7,X8)
| ~ relation(X9)
| ~ relation(X8)
| ~ relation(X7) )
& ( in(ordered_pair(esk8_5(X7,X8,X9,X10,X11),X11),X8)
| ~ in(ordered_pair(X10,X11),X9)
| X9 != relation_composition(X7,X8)
| ~ relation(X9)
| ~ relation(X8)
| ~ relation(X7) )
& ( ~ in(ordered_pair(X10,X13),X7)
| ~ in(ordered_pair(X13,X11),X8)
| in(ordered_pair(X10,X11),X9)
| X9 != relation_composition(X7,X8)
| ~ relation(X9)
| ~ relation(X8)
| ~ relation(X7) )
& ( ~ in(ordered_pair(esk9_3(X7,X8,X9),esk10_3(X7,X8,X9)),X9)
| ~ in(ordered_pair(esk9_3(X7,X8,X9),X16),X7)
| ~ in(ordered_pair(X16,esk10_3(X7,X8,X9)),X8)
| X9 = relation_composition(X7,X8)
| ~ relation(X9)
| ~ relation(X8)
| ~ relation(X7) )
& ( in(ordered_pair(esk9_3(X7,X8,X9),esk11_3(X7,X8,X9)),X7)
| in(ordered_pair(esk9_3(X7,X8,X9),esk10_3(X7,X8,X9)),X9)
| X9 = relation_composition(X7,X8)
| ~ relation(X9)
| ~ relation(X8)
| ~ relation(X7) )
& ( in(ordered_pair(esk11_3(X7,X8,X9),esk10_3(X7,X8,X9)),X8)
| in(ordered_pair(esk9_3(X7,X8,X9),esk10_3(X7,X8,X9)),X9)
| X9 = relation_composition(X7,X8)
| ~ relation(X9)
| ~ relation(X8)
| ~ relation(X7) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_relat_1])])])])])])]) ).
cnf(c_0_10,plain,
( in(X3,X2)
| ~ relation(X1)
| X2 != relation_dom(X1)
| ~ in(ordered_pair(X3,X4),X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
( in(ordered_pair(X4,esk8_5(X1,X2,X3,X4,X5)),X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ relation(X3)
| X3 != relation_composition(X1,X2)
| ~ in(ordered_pair(X4,X5),X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,plain,
( in(X1,X2)
| X3 != relation_composition(X4,X5)
| X2 != relation_dom(X4)
| ~ relation(X4)
| ~ relation(X3)
| ~ relation(X5)
| ~ in(ordered_pair(X1,X6),X3) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,plain,
( in(ordered_pair(X3,esk5_3(X1,X2,X3)),X1)
| ~ relation(X1)
| X2 != relation_dom(X1)
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_14,plain,
! [X3,X4] :
( ~ relation(X3)
| ~ relation(X4)
| relation(relation_composition(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_relat_1])]) ).
fof(c_0_15,plain,
! [X4,X5,X6,X6,X5,X6,X6] :
( ( X6 != apply(X4,X5)
| in(ordered_pair(X5,X6),X4)
| ~ in(X5,relation_dom(X4))
| ~ relation(X4)
| ~ function(X4) )
& ( ~ in(ordered_pair(X5,X6),X4)
| X6 = apply(X4,X5)
| ~ in(X5,relation_dom(X4))
| ~ relation(X4)
| ~ function(X4) )
& ( X6 != apply(X4,X5)
| X6 = empty_set
| in(X5,relation_dom(X4))
| ~ relation(X4)
| ~ function(X4) )
& ( X6 != empty_set
| X6 = apply(X4,X5)
| in(X5,relation_dom(X4))
| ~ relation(X4)
| ~ function(X4) ) ),
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)],[inference(fof_simplification,[status(thm)],[d4_funct_1])])])])])])]) ).
cnf(c_0_16,plain,
( in(X1,X2)
| X3 != relation_composition(X4,X5)
| X2 != relation_dom(X4)
| X6 != relation_dom(X3)
| ~ relation(X4)
| ~ relation(X3)
| ~ relation(X5)
| ~ in(X1,X6) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_18,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_19,plain,
( in(ordered_pair(X4,X5),X3)
| ~ relation(X1)
| ~ relation(X2)
| ~ relation(X3)
| X3 != relation_composition(X1,X2)
| ~ in(ordered_pair(X6,X5),X2)
| ~ in(ordered_pair(X4,X6),X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_20,plain,
( in(ordered_pair(X2,X3),X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,relation_dom(X1))
| X3 != apply(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
( in(X1,X2)
| X3 != relation_dom(relation_composition(X4,X5))
| X2 != relation_dom(X4)
| ~ relation(X4)
| ~ relation(X5)
| ~ in(X1,X3) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_16]),c_0_17]) ).
fof(c_0_22,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(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])])]) ).
fof(c_0_23,lemma,
! [X4,X5,X6] :
( ( in(X4,relation_dom(X6))
| ~ in(ordered_pair(X4,X5),X6)
| ~ relation(X6) )
& ( in(X5,relation_rng(X6))
| ~ in(ordered_pair(X4,X5),X6)
| ~ relation(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t20_relat_1])])]) ).
cnf(c_0_24,plain,
( in(ordered_pair(X1,esk5_3(X2,X3,X4)),X5)
| X5 != relation_composition(X6,X2)
| X3 != relation_dom(X2)
| ~ relation(X5)
| ~ relation(X2)
| ~ relation(X6)
| ~ in(ordered_pair(X1,X4),X6)
| ~ in(X4,X3) ),
inference(spm,[status(thm)],[c_0_19,c_0_13]) ).
cnf(c_0_25,plain,
( in(ordered_pair(X1,apply(X2,X1)),X2)
| ~ relation(X2)
| ~ function(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(er,[status(thm)],[c_0_20]) ).
cnf(c_0_26,plain,
( in(X1,X2)
| X2 != relation_dom(X3)
| ~ relation(X3)
| ~ relation(X4)
| ~ in(X1,relation_dom(relation_composition(X3,X4))) ),
inference(er,[status(thm)],[c_0_21]) ).
cnf(c_0_27,negated_conjecture,
( in(esk1_0,relation_dom(relation_composition(esk3_0,esk2_0)))
| in(esk1_0,relation_dom(esk3_0)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,negated_conjecture,
relation(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,negated_conjecture,
relation(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,lemma,
( in(X2,relation_dom(X1))
| ~ relation(X1)
| ~ in(ordered_pair(X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,plain,
( in(ordered_pair(X1,esk5_3(X2,X3,apply(X4,X1))),X5)
| X5 != relation_composition(X4,X2)
| X3 != relation_dom(X2)
| ~ relation(X5)
| ~ relation(X2)
| ~ relation(X4)
| ~ function(X4)
| ~ in(apply(X4,X1),X3)
| ~ in(X1,relation_dom(X4)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_32,negated_conjecture,
( in(esk1_0,relation_dom(esk3_0))
| in(esk1_0,X1)
| X1 != relation_dom(esk3_0) ),
inference(cn,[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])]) ).
cnf(c_0_33,lemma,
( in(X1,relation_dom(X2))
| X2 != relation_composition(X3,X4)
| X5 != relation_dom(X4)
| ~ relation(X2)
| ~ relation(X4)
| ~ relation(X3)
| ~ function(X3)
| ~ in(apply(X3,X1),X5)
| ~ in(X1,relation_dom(X3)) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,negated_conjecture,
( in(esk1_0,relation_dom(relation_composition(esk3_0,esk2_0)))
| in(apply(esk3_0,esk1_0),relation_dom(esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_35,negated_conjecture,
function(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_36,negated_conjecture,
in(esk1_0,relation_dom(esk3_0)),
inference(er,[status(thm)],[c_0_32]) ).
fof(c_0_37,lemma,
! [X4,X5,X6] :
( ( in(X4,relation_dom(X6))
| ~ in(ordered_pair(X4,X5),X6)
| ~ relation(X6)
| ~ function(X6) )
& ( X5 = apply(X6,X4)
| ~ in(ordered_pair(X4,X5),X6)
| ~ relation(X6)
| ~ function(X6) )
& ( ~ in(X4,relation_dom(X6))
| X5 != apply(X6,X4)
| in(ordered_pair(X4,X5),X6)
| ~ relation(X6)
| ~ function(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_funct_1])])]) ).
cnf(c_0_38,negated_conjecture,
( in(esk1_0,relation_dom(relation_composition(esk3_0,esk2_0)))
| in(esk1_0,relation_dom(X1))
| relation_dom(esk2_0) != relation_dom(X2)
| X1 != relation_composition(esk3_0,X2)
| ~ relation(X1)
| ~ relation(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_28]),c_0_35]),c_0_36])]) ).
cnf(c_0_39,plain,
( in(ordered_pair(esk8_5(X1,X2,X3,X4,X5),X5),X2)
| ~ relation(X1)
| ~ relation(X2)
| ~ relation(X3)
| X3 != relation_composition(X1,X2)
| ~ in(ordered_pair(X4,X5),X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_40,lemma,
( X3 = apply(X1,X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_41,negated_conjecture,
( in(esk1_0,relation_dom(relation_composition(esk3_0,esk2_0)))
| in(esk1_0,relation_dom(relation_composition(esk3_0,X1)))
| relation_dom(esk2_0) != relation_dom(X1)
| ~ relation(relation_composition(esk3_0,X1))
| ~ relation(X1) ),
inference(er,[status(thm)],[c_0_38]) ).
cnf(c_0_42,lemma,
( in(esk8_5(X1,X2,X3,X4,X5),relation_dom(X2))
| X3 != relation_composition(X1,X2)
| ~ relation(X2)
| ~ relation(X3)
| ~ relation(X1)
| ~ in(ordered_pair(X4,X5),X3) ),
inference(spm,[status(thm)],[c_0_30,c_0_39]) ).
cnf(c_0_43,lemma,
( esk8_5(X1,X2,X3,X4,X5) = apply(X1,X4)
| X3 != relation_composition(X1,X2)
| ~ relation(X1)
| ~ relation(X3)
| ~ relation(X2)
| ~ function(X1)
| ~ in(ordered_pair(X4,X5),X3) ),
inference(spm,[status(thm)],[c_0_40,c_0_11]) ).
cnf(c_0_44,negated_conjecture,
( ~ 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))) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_45,negated_conjecture,
( in(esk1_0,relation_dom(relation_composition(esk3_0,esk2_0)))
| in(esk1_0,relation_dom(relation_composition(esk3_0,X1)))
| relation_dom(esk2_0) != relation_dom(X1)
| ~ relation(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_17]),c_0_28])]) ).
cnf(c_0_46,lemma,
( in(apply(X1,X2),relation_dom(X3))
| X4 != relation_composition(X1,X3)
| ~ relation(X3)
| ~ relation(X4)
| ~ relation(X1)
| ~ function(X1)
| ~ in(ordered_pair(X2,X5),X4) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_47,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_44,c_0_36])]) ).
cnf(c_0_48,negated_conjecture,
in(esk1_0,relation_dom(relation_composition(esk3_0,esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_45]),c_0_29])]) ).
cnf(c_0_49,lemma,
( in(apply(X1,X2),relation_dom(X3))
| X4 != relation_composition(X1,X3)
| ~ relation(X3)
| ~ relation(X4)
| ~ relation(X1)
| ~ function(X1)
| ~ function(X4)
| ~ in(X2,relation_dom(X4)) ),
inference(spm,[status(thm)],[c_0_46,c_0_25]) ).
cnf(c_0_50,negated_conjecture,
~ in(apply(esk3_0,esk1_0),relation_dom(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48])]) ).
cnf(c_0_51,lemma,
( in(apply(X1,esk1_0),relation_dom(X2))
| relation_composition(esk3_0,esk2_0) != relation_composition(X1,X2)
| ~ relation(relation_composition(esk3_0,esk2_0))
| ~ relation(X2)
| ~ relation(X1)
| ~ function(relation_composition(esk3_0,esk2_0))
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_48]) ).
fof(c_0_52,plain,
! [X3,X4] :
( ( relation(relation_composition(X3,X4))
| ~ relation(X3)
| ~ function(X3)
| ~ relation(X4)
| ~ function(X4) )
& ( function(relation_composition(X3,X4))
| ~ relation(X3)
| ~ function(X3)
| ~ relation(X4)
| ~ function(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_funct_1])])]) ).
cnf(c_0_53,negated_conjecture,
( ~ relation(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_29]),c_0_28]),c_0_35])]) ).
cnf(c_0_54,plain,
( function(relation_composition(X2,X1))
| ~ function(X1)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_55,negated_conjecture,
function(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_56,negated_conjecture,
~ relation(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_53,c_0_54]),c_0_28]),c_0_29]),c_0_35]),c_0_55])]) ).
cnf(c_0_57,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_17]),c_0_29]),c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU213+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 20 09:09:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.38/23.40 eprover: CPU time limit exceeded, terminating
% 0.38/23.41 eprover: CPU time limit exceeded, terminating
% 0.38/23.42 eprover: CPU time limit exceeded, terminating
% 0.38/23.44 eprover: CPU time limit exceeded, terminating
% 0.39/24.58 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.39/24.58
% 0.39/24.58 # Failure: Resource limit exceeded (time)
% 0.39/24.58 # OLD status Res
% 0.39/24.58 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.39/24.58 # Preprocessing time : 0.025 s
% 0.39/24.58 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.39/24.58 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.39/24.58 # Preprocessing time : 0.021 s
% 0.39/24.58
% 0.39/24.58 # Proof found!
% 0.39/24.58 # SZS status Theorem
% 0.39/24.58 # SZS output start CNFRefutation
% See solution above
% 0.39/24.58 # Proof object total steps : 58
% 0.39/24.58 # Proof object clause steps : 41
% 0.39/24.58 # Proof object formula steps : 17
% 0.39/24.58 # Proof object conjectures : 21
% 0.39/24.58 # Proof object clause conjectures : 18
% 0.39/24.58 # Proof object formula conjectures : 3
% 0.39/24.58 # Proof object initial clauses used : 17
% 0.39/24.58 # Proof object initial formulas used : 8
% 0.39/24.58 # Proof object generating inferences : 22
% 0.39/24.58 # Proof object simplifying inferences : 28
% 0.39/24.58 # Training examples: 0 positive, 0 negative
% 0.39/24.58 # Parsed axioms : 217
% 0.39/24.58 # Removed by relevancy pruning/SinE : 193
% 0.39/24.58 # Initial clauses : 54
% 0.39/24.58 # Removed in clause preprocessing : 0
% 0.39/24.58 # Initial clauses in saturation : 54
% 0.39/24.58 # Processed clauses : 475
% 0.39/24.58 # ...of these trivial : 8
% 0.39/24.58 # ...subsumed : 49
% 0.39/24.58 # ...remaining for further processing : 418
% 0.39/24.58 # Other redundant clauses eliminated : 2
% 0.39/24.58 # Clauses deleted for lack of memory : 0
% 0.39/24.58 # Backward-subsumed : 11
% 0.39/24.58 # Backward-rewritten : 40
% 0.39/24.58 # Generated clauses : 4320
% 0.39/24.58 # ...of the previous two non-trivial : 4121
% 0.39/24.58 # Contextual simplify-reflections : 71
% 0.39/24.58 # Paramodulations : 4278
% 0.39/24.58 # Factorizations : 6
% 0.39/24.58 # Equation resolutions : 36
% 0.39/24.58 # Current number of processed clauses : 367
% 0.39/24.58 # Positive orientable unit clauses : 10
% 0.39/24.58 # Positive unorientable unit clauses: 0
% 0.39/24.58 # Negative unit clauses : 5
% 0.39/24.58 # Non-unit-clauses : 352
% 0.39/24.58 # Current number of unprocessed clauses: 3208
% 0.39/24.58 # ...number of literals in the above : 34623
% 0.39/24.58 # Current number of archived formulas : 0
% 0.39/24.58 # Current number of archived clauses : 51
% 0.39/24.58 # Clause-clause subsumption calls (NU) : 81329
% 0.39/24.58 # Rec. Clause-clause subsumption calls : 7182
% 0.39/24.58 # Non-unit clause-clause subsumptions : 130
% 0.39/24.58 # Unit Clause-clause subsumption calls : 18
% 0.39/24.58 # Rewrite failures with RHS unbound : 0
% 0.39/24.58 # BW rewrite match attempts : 4
% 0.39/24.58 # BW rewrite match successes : 2
% 0.39/24.58 # Condensation attempts : 0
% 0.39/24.58 # Condensation successes : 0
% 0.39/24.58 # Termbank termtop insertions : 163671
% 0.39/24.58
% 0.39/24.58 # -------------------------------------------------
% 0.39/24.58 # User time : 0.231 s
% 0.39/24.58 # System time : 0.010 s
% 0.39/24.58 # Total time : 0.241 s
% 0.39/24.58 # Maximum resident set size: 8640 pages
% 0.39/46.43 eprover: CPU time limit exceeded, terminating
% 0.39/46.44 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.39/46.44
% 0.39/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.39/46.45 eprover: No such file or directory
% 0.39/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.39/46.46 eprover: No such file or directory
% 0.39/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.46 eprover: No such file or directory
% 0.39/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.39/46.46 eprover: No such file or directory
% 0.39/46.46 eprover: No such file or directory
% 0.39/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.46 eprover: No such file or directory
% 0.39/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.47 eprover: No such file or directory
% 0.39/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.47 eprover: No such file or directory
% 0.39/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.39/46.47 eprover: No such file or directory
% 0.39/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.47 eprover: No such file or directory
% 0.39/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.47 eprover: No such file or directory
% 0.39/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.39/46.47 eprover: No such file or directory
% 0.39/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.47 eprover: No such file or directory
% 0.39/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.48 eprover: No such file or directory
% 0.39/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.48 eprover: No such file or directory
% 0.39/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.39/46.48 eprover: No such file or directory
% 0.39/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.48 eprover: No such file or directory
% 0.39/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.48 eprover: No such file or directory
% 0.39/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.39/46.48 eprover: No such file or directory
% 0.39/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.49 eprover: No such file or directory
% 0.39/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.49 eprover: No such file or directory
% 0.39/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.39/46.49 eprover: No such file or directory
% 0.39/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.49 eprover: No such file or directory
% 0.39/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.49 eprover: No such file or directory
% 0.39/46.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.39/46.50 eprover: No such file or directory
% 0.39/46.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.50 eprover: No such file or directory
% 0.39/46.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.50 eprover: No such file or directory
% 0.39/46.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.50 eprover: No such file or directory
% 0.39/46.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.39/46.50 eprover: No such file or directory
% 0.39/46.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.50 eprover: No such file or directory
%------------------------------------------------------------------------------