TSTP Solution File: SEU213+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU213+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.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 0.89s 123.08s
% Output : CNFRefutation 0.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 8
% Syntax : Number of formulae : 75 ( 19 unt; 0 def)
% Number of atoms : 339 ( 47 equ)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 462 ( 198 ~; 211 |; 32 &)
% ( 8 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 4 con; 0-5 aty)
% Number of variables : 178 ( 12 sgn 56 !; 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/sandbox2/solver/bin/../tmp/theBenchmark.p',d4_funct_1) ).
fof(d5_tarski,axiom,
! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',d5_tarski) ).
fof(commutativity_k2_tarski,axiom,
! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',commutativity_k2_tarski) ).
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(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(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(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(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,
! [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])])])])])])]) ).
fof(c_0_9,plain,
! [X3,X4] : ordered_pair(X3,X4) = unordered_pair(unordered_pair(X3,X4),singleton(X3)),
inference(variable_rename,[status(thm)],[d5_tarski]) ).
cnf(c_0_10,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_8]) ).
cnf(c_0_11,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_12,plain,
! [X3,X4] : unordered_pair(X3,X4) = unordered_pair(X4,X3),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
fof(c_0_13,plain,
! [X7,X8,X9,X10,X11,X10,X11,X13,X16] :
( ( in(ordered_pair(X10,esk4_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(esk4_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(esk5_3(X7,X8,X9),esk6_3(X7,X8,X9)),X9)
| ~ in(ordered_pair(esk5_3(X7,X8,X9),X16),X7)
| ~ in(ordered_pair(X16,esk6_3(X7,X8,X9)),X8)
| X9 = relation_composition(X7,X8)
| ~ relation(X9)
| ~ relation(X8)
| ~ relation(X7) )
& ( in(ordered_pair(esk5_3(X7,X8,X9),esk7_3(X7,X8,X9)),X7)
| in(ordered_pair(esk5_3(X7,X8,X9),esk6_3(X7,X8,X9)),X9)
| X9 = relation_composition(X7,X8)
| ~ relation(X9)
| ~ relation(X8)
| ~ relation(X7) )
& ( in(ordered_pair(esk7_3(X7,X8,X9),esk6_3(X7,X8,X9)),X8)
| in(ordered_pair(esk5_3(X7,X8,X9),esk6_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_14,plain,
( in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X1)
| X3 != apply(X1,X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,relation_dom(X1)) ),
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_16,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_17,plain,
( in(ordered_pair(X4,esk4_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_13]) ).
cnf(c_0_18,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X3)
| X2 != apply(X3,X1)
| ~ relation(X3)
| ~ function(X3)
| ~ in(X1,relation_dom(X3)) ),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
fof(c_0_19,negated_conjecture,
( relation(esk16_0)
& function(esk16_0)
& relation(esk17_0)
& function(esk17_0)
& ( ~ in(esk15_0,relation_dom(relation_composition(esk17_0,esk16_0)))
| ~ in(esk15_0,relation_dom(esk17_0))
| ~ in(apply(esk17_0,esk15_0),relation_dom(esk16_0)) )
& ( in(esk15_0,relation_dom(esk17_0))
| in(esk15_0,relation_dom(relation_composition(esk17_0,esk16_0))) )
& ( in(apply(esk17_0,esk15_0),relation_dom(esk16_0))
| in(esk15_0,relation_dom(relation_composition(esk17_0,esk16_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_16])])])])])]) ).
fof(c_0_20,plain,
! [X5,X6,X7,X7,X9,X6,X11] :
( ( ~ in(X7,X6)
| in(ordered_pair(X7,esk1_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(esk2_2(X5,X6),X6)
| ~ in(ordered_pair(esk2_2(X5,X6),X11),X5)
| X6 = relation_dom(X5)
| ~ relation(X5) )
& ( in(esk2_2(X5,X6),X6)
| in(ordered_pair(esk2_2(X5,X6),esk3_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])])])])])])]) ).
cnf(c_0_21,plain,
( in(unordered_pair(unordered_pair(X4,esk4_5(X1,X2,X3,X4,X5)),singleton(X4)),X1)
| X3 != relation_composition(X1,X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_11]),c_0_11]) ).
cnf(c_0_22,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,apply(X2,X1))),X2)
| ~ relation(X2)
| ~ function(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(er,[status(thm)],[c_0_18]) ).
cnf(c_0_23,negated_conjecture,
( in(esk15_0,relation_dom(relation_composition(esk17_0,esk16_0)))
| in(esk15_0,relation_dom(esk17_0)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_24,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])]) ).
cnf(c_0_25,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_13]) ).
cnf(c_0_26,plain,
( in(X3,X2)
| ~ relation(X1)
| X2 != relation_dom(X1)
| ~ in(ordered_pair(X3,X4),X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk4_5(X2,X3,X4,X1,X5))),X2)
| X4 != relation_composition(X2,X3)
| ~ relation(X4)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X5)),X4) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_15]),c_0_15]) ).
cnf(c_0_28,negated_conjecture,
( in(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,apply(relation_composition(esk17_0,esk16_0),esk15_0))),relation_composition(esk17_0,esk16_0))
| in(esk15_0,relation_dom(esk17_0))
| ~ relation(relation_composition(esk17_0,esk16_0))
| ~ function(relation_composition(esk17_0,esk16_0)) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,negated_conjecture,
relation(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_31,negated_conjecture,
relation(esk17_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_32,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_33,plain,
( in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X3)
| X3 != relation_composition(X1,X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),X2)
| ~ in(unordered_pair(unordered_pair(X4,X6),singleton(X4)),X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_11]),c_0_11]),c_0_11]) ).
cnf(c_0_34,plain,
( in(X3,X2)
| X2 != relation_dom(X1)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X1) ),
inference(rw,[status(thm)],[c_0_26,c_0_11]) ).
cnf(c_0_35,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk4_5(X2,X3,relation_composition(X2,X3),X1,X4))),X2)
| ~ relation(relation_composition(X2,X3))
| ~ relation(X3)
| ~ relation(X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X4)),relation_composition(X2,X3)) ),
inference(er,[status(thm)],[c_0_27]) ).
cnf(c_0_36,negated_conjecture,
( in(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,apply(relation_composition(esk17_0,esk16_0),esk15_0))),relation_composition(esk17_0,esk16_0))
| in(esk15_0,relation_dom(esk17_0))
| ~ function(relation_composition(esk17_0,esk16_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_37,plain,
( function(relation_composition(X2,X1))
| ~ function(X1)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_38,negated_conjecture,
function(esk17_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_39,negated_conjecture,
function(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_40,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X3)
| X3 != relation_composition(X4,X5)
| ~ relation(X3)
| ~ relation(X5)
| ~ relation(X4)
| ~ in(unordered_pair(singleton(X6),unordered_pair(X6,X2)),X5)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X6)),X4) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_15]),c_0_15]),c_0_15]) ).
cnf(c_0_41,plain,
( in(X1,X2)
| X2 != relation_dom(X3)
| ~ relation(X3)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X4)),X3) ),
inference(rw,[status(thm)],[c_0_34,c_0_15]) ).
cnf(c_0_42,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk4_5(X2,X3,relation_composition(X2,X3),X1,X4))),X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X4)),relation_composition(X2,X3)) ),
inference(spm,[status(thm)],[c_0_35,c_0_29]) ).
cnf(c_0_43,negated_conjecture,
( in(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,apply(relation_composition(esk17_0,esk16_0),esk15_0))),relation_composition(esk17_0,esk16_0))
| in(esk15_0,relation_dom(esk17_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_36,c_0_37]),c_0_31]),c_0_30]),c_0_38]),c_0_39])]) ).
cnf(c_0_44,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),relation_composition(X3,X4))
| ~ relation(relation_composition(X3,X4))
| ~ relation(X4)
| ~ relation(X3)
| ~ in(unordered_pair(singleton(X5),unordered_pair(X5,X2)),X4)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X5)),X3) ),
inference(er,[status(thm)],[c_0_40]) ).
cnf(c_0_45,negated_conjecture,
( in(esk15_0,relation_dom(relation_composition(esk17_0,esk16_0)))
| in(apply(esk17_0,esk15_0),relation_dom(esk16_0)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_46,plain,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),X2) ),
inference(er,[status(thm)],[c_0_41]) ).
cnf(c_0_47,negated_conjecture,
( in(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,esk4_5(esk17_0,esk16_0,relation_composition(esk17_0,esk16_0),esk15_0,apply(relation_composition(esk17_0,esk16_0),esk15_0)))),esk17_0)
| in(esk15_0,relation_dom(esk17_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_30]),c_0_31])]) ).
cnf(c_0_48,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),relation_composition(X3,X4))
| ~ relation(X4)
| ~ relation(X3)
| ~ in(unordered_pair(singleton(X5),unordered_pair(X5,X2)),X4)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X5)),X3) ),
inference(spm,[status(thm)],[c_0_44,c_0_29]) ).
cnf(c_0_49,negated_conjecture,
( in(unordered_pair(singleton(apply(esk17_0,esk15_0)),unordered_pair(apply(esk17_0,esk15_0),apply(esk16_0,apply(esk17_0,esk15_0)))),esk16_0)
| in(esk15_0,relation_dom(relation_composition(esk17_0,esk16_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_45]),c_0_30]),c_0_39])]) ).
cnf(c_0_50,negated_conjecture,
in(esk15_0,relation_dom(esk17_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_31])]) ).
cnf(c_0_51,negated_conjecture,
( in(unordered_pair(singleton(X1),unordered_pair(X1,apply(esk16_0,apply(esk17_0,esk15_0)))),relation_composition(X2,esk16_0))
| in(esk15_0,relation_dom(relation_composition(esk17_0,esk16_0)))
| ~ relation(X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,apply(esk17_0,esk15_0))),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_30])]) ).
cnf(c_0_52,negated_conjecture,
in(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,apply(esk17_0,esk15_0))),esk17_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_50]),c_0_31]),c_0_38])]) ).
cnf(c_0_53,negated_conjecture,
( in(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,apply(esk16_0,apply(esk17_0,esk15_0)))),relation_composition(esk17_0,esk16_0))
| in(esk15_0,relation_dom(relation_composition(esk17_0,esk16_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_31])]) ).
cnf(c_0_54,negated_conjecture,
( in(esk15_0,relation_dom(relation_composition(esk17_0,esk16_0)))
| ~ relation(relation_composition(esk17_0,esk16_0)) ),
inference(spm,[status(thm)],[c_0_46,c_0_53]) ).
cnf(c_0_55,negated_conjecture,
in(esk15_0,relation_dom(relation_composition(esk17_0,esk16_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_29]),c_0_30]),c_0_31])]) ).
cnf(c_0_56,plain,
( in(ordered_pair(esk4_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_13]) ).
cnf(c_0_57,plain,
( X3 = apply(X1,X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,relation_dom(X1))
| ~ in(ordered_pair(X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_58,negated_conjecture,
( in(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,apply(relation_composition(esk17_0,esk16_0),esk15_0))),relation_composition(esk17_0,esk16_0))
| ~ relation(relation_composition(esk17_0,esk16_0))
| ~ function(relation_composition(esk17_0,esk16_0)) ),
inference(spm,[status(thm)],[c_0_22,c_0_55]) ).
cnf(c_0_59,plain,
( in(unordered_pair(unordered_pair(esk4_5(X1,X2,X3,X4,X5),X5),singleton(esk4_5(X1,X2,X3,X4,X5))),X2)
| X3 != relation_composition(X1,X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_11]),c_0_11]) ).
cnf(c_0_60,plain,
( X3 = apply(X1,X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,relation_dom(X1))
| ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X1) ),
inference(rw,[status(thm)],[c_0_57,c_0_11]) ).
cnf(c_0_61,negated_conjecture,
( in(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,apply(relation_composition(esk17_0,esk16_0),esk15_0))),relation_composition(esk17_0,esk16_0))
| ~ function(relation_composition(esk17_0,esk16_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_29]),c_0_30]),c_0_31])]) ).
cnf(c_0_62,plain,
( in(unordered_pair(singleton(esk4_5(X1,X2,X3,X4,X5)),unordered_pair(X5,esk4_5(X1,X2,X3,X4,X5))),X2)
| X3 != relation_composition(X1,X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(unordered_pair(singleton(X4),unordered_pair(X4,X5)),X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_15]),c_0_15]),c_0_15]) ).
cnf(c_0_63,plain,
( X1 = apply(X2,X3)
| ~ relation(X2)
| ~ function(X2)
| ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X1)),X2)
| ~ in(X3,relation_dom(X2)) ),
inference(rw,[status(thm)],[c_0_60,c_0_15]) ).
cnf(c_0_64,negated_conjecture,
in(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,apply(relation_composition(esk17_0,esk16_0),esk15_0))),relation_composition(esk17_0,esk16_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_61,c_0_37]),c_0_31]),c_0_30]),c_0_38]),c_0_39])]) ).
cnf(c_0_65,plain,
( in(unordered_pair(singleton(esk4_5(X1,X2,relation_composition(X1,X2),X3,X4)),unordered_pair(X4,esk4_5(X1,X2,relation_composition(X1,X2),X3,X4))),X2)
| ~ relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1)
| ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X4)),relation_composition(X1,X2)) ),
inference(er,[status(thm)],[c_0_62]) ).
cnf(c_0_66,negated_conjecture,
( X1 = apply(esk17_0,esk15_0)
| ~ in(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,X1)),esk17_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_50]),c_0_31]),c_0_38])]) ).
cnf(c_0_67,negated_conjecture,
in(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,esk4_5(esk17_0,esk16_0,relation_composition(esk17_0,esk16_0),esk15_0,apply(relation_composition(esk17_0,esk16_0),esk15_0)))),esk17_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_64]),c_0_30]),c_0_31])]) ).
cnf(c_0_68,negated_conjecture,
( ~ in(apply(esk17_0,esk15_0),relation_dom(esk16_0))
| ~ in(esk15_0,relation_dom(esk17_0))
| ~ in(esk15_0,relation_dom(relation_composition(esk17_0,esk16_0))) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_69,plain,
( in(unordered_pair(singleton(esk4_5(X1,X2,relation_composition(X1,X2),X3,X4)),unordered_pair(X4,esk4_5(X1,X2,relation_composition(X1,X2),X3,X4))),X2)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X4)),relation_composition(X1,X2)) ),
inference(spm,[status(thm)],[c_0_65,c_0_29]) ).
cnf(c_0_70,negated_conjecture,
esk4_5(esk17_0,esk16_0,relation_composition(esk17_0,esk16_0),esk15_0,apply(relation_composition(esk17_0,esk16_0),esk15_0)) = apply(esk17_0,esk15_0),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_71,negated_conjecture,
( ~ in(esk15_0,relation_dom(relation_composition(esk17_0,esk16_0)))
| ~ in(apply(esk17_0,esk15_0),relation_dom(esk16_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_50])]) ).
cnf(c_0_72,negated_conjecture,
in(unordered_pair(singleton(apply(esk17_0,esk15_0)),unordered_pair(apply(esk17_0,esk15_0),apply(relation_composition(esk17_0,esk16_0),esk15_0))),esk16_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_64]),c_0_30]),c_0_31])]),c_0_70]),c_0_70]),c_0_15]) ).
cnf(c_0_73,negated_conjecture,
~ in(apply(esk17_0,esk15_0),relation_dom(esk16_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_55])]) ).
cnf(c_0_74,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_72]),c_0_30])]),c_0_73]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU213+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n021.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 : Mon Jun 20 06:52:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.35/23.41 eprover: CPU time limit exceeded, terminating
% 0.35/23.41 eprover: CPU time limit exceeded, terminating
% 0.35/23.42 eprover: CPU time limit exceeded, terminating
% 0.35/23.43 eprover: CPU time limit exceeded, terminating
% 0.49/46.43 eprover: CPU time limit exceeded, terminating
% 0.49/46.45 eprover: CPU time limit exceeded, terminating
% 0.49/46.45 eprover: CPU time limit exceeded, terminating
% 0.49/46.45 eprover: CPU time limit exceeded, terminating
% 0.62/69.46 eprover: CPU time limit exceeded, terminating
% 0.62/69.47 eprover: CPU time limit exceeded, terminating
% 0.62/69.47 eprover: CPU time limit exceeded, terminating
% 0.62/69.47 eprover: CPU time limit exceeded, terminating
% 0.73/92.48 eprover: CPU time limit exceeded, terminating
% 0.73/92.49 eprover: CPU time limit exceeded, terminating
% 0.73/92.49 eprover: CPU time limit exceeded, terminating
% 0.73/92.50 eprover: CPU time limit exceeded, terminating
% 0.85/115.51 eprover: CPU time limit exceeded, terminating
% 0.85/115.51 eprover: CPU time limit exceeded, terminating
% 0.85/115.52 eprover: CPU time limit exceeded, terminating
% 0.85/115.52 eprover: CPU time limit exceeded, terminating
% 0.89/123.08 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.89/123.08
% 0.89/123.08 # Failure: Resource limit exceeded (time)
% 0.89/123.08 # OLD status Res
% 0.89/123.08 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.89/123.08 # Preprocessing time : 0.017 s
% 0.89/123.08 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.89/123.08
% 0.89/123.08 # Failure: Resource limit exceeded (time)
% 0.89/123.08 # OLD status Res
% 0.89/123.08 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.89/123.08 # Preprocessing time : 0.016 s
% 0.89/123.08 # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 0.89/123.08
% 0.89/123.08 # Failure: Resource limit exceeded (time)
% 0.89/123.08 # OLD status Res
% 0.89/123.08 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 0.89/123.08 # Preprocessing time : 0.010 s
% 0.89/123.08 # Running protocol protocol_eprover_33aa8a325940064c53b389b41203bb48a5cb5006 for 23 seconds:
% 0.89/123.08
% 0.89/123.08 # Failure: Resource limit exceeded (time)
% 0.89/123.08 # OLD status Res
% 0.89/123.08 # Preprocessing time : 0.009 s
% 0.89/123.08 # Running protocol protocol_eprover_260890dcdd2d907655d788d68835201aeffdef4a for 23 seconds:
% 0.89/123.08
% 0.89/123.08 # Failure: Resource limit exceeded (time)
% 0.89/123.08 # OLD status Res
% 0.89/123.08 # SinE strategy is GSinE(CountFormulas,,1.5,,03,100,1.0)
% 0.89/123.08 # Preprocessing time : 0.018 s
% 0.89/123.08 # Running protocol protocol_eprover_9a428cb4e1feff5dec19b8494e78e7f0e8ede446 for 23 seconds:
% 0.89/123.08 # Preprocessing time : 0.018 s
% 0.89/123.08
% 0.89/123.08 # Proof found!
% 0.89/123.08 # SZS status Theorem
% 0.89/123.08 # SZS output start CNFRefutation
% See solution above
% 0.89/123.08 # Proof object total steps : 75
% 0.89/123.08 # Proof object clause steps : 58
% 0.89/123.08 # Proof object formula steps : 17
% 0.89/123.08 # Proof object conjectures : 31
% 0.89/123.08 # Proof object clause conjectures : 28
% 0.89/123.08 # Proof object formula conjectures : 3
% 0.89/123.08 # Proof object initial clauses used : 17
% 0.89/123.08 # Proof object initial formulas used : 8
% 0.89/123.08 # Proof object generating inferences : 27
% 0.89/123.08 # Proof object simplifying inferences : 74
% 0.89/123.08 # Training examples: 0 positive, 0 negative
% 0.89/123.08 # Parsed axioms : 40
% 0.89/123.08 # Removed by relevancy pruning/SinE : 0
% 0.89/123.08 # Initial clauses : 68
% 0.89/123.08 # Removed in clause preprocessing : 8
% 0.89/123.08 # Initial clauses in saturation : 60
% 0.89/123.08 # Processed clauses : 13957
% 0.89/123.08 # ...of these trivial : 14
% 0.89/123.08 # ...subsumed : 11120
% 0.89/123.08 # ...remaining for further processing : 2823
% 0.89/123.08 # Other redundant clauses eliminated : 2933
% 0.89/123.08 # Clauses deleted for lack of memory : 184107
% 0.89/123.08 # Backward-subsumed : 461
% 0.89/123.08 # Backward-rewritten : 659
% 0.89/123.08 # Generated clauses : 340019
% 0.89/123.08 # ...of the previous two non-trivial : 334416
% 0.89/123.08 # Contextual simplify-reflections : 0
% 0.89/123.08 # Paramodulations : 336968
% 0.89/123.08 # Factorizations : 38
% 0.89/123.08 # Equation resolutions : 3013
% 0.89/123.08 # Current number of processed clauses : 1703
% 0.89/123.08 # Positive orientable unit clauses : 27
% 0.89/123.08 # Positive unorientable unit clauses: 1
% 0.89/123.08 # Negative unit clauses : 14
% 0.89/123.08 # Non-unit-clauses : 1661
% 0.89/123.08 # Current number of unprocessed clauses: 74347
% 0.89/123.08 # ...number of literals in the above : 850595
% 0.89/123.08 # Current number of archived formulas : 0
% 0.89/123.08 # Current number of archived clauses : 1121
% 0.89/123.08 # Clause-clause subsumption calls (NU) : 465797
% 0.89/123.08 # Rec. Clause-clause subsumption calls : 47209
% 0.89/123.08 # Non-unit clause-clause subsumptions : 9549
% 0.89/123.08 # Unit Clause-clause subsumption calls : 3294
% 0.89/123.08 # Rewrite failures with RHS unbound : 0
% 0.89/123.08 # BW rewrite match attempts : 35
% 0.89/123.08 # BW rewrite match successes : 9
% 0.89/123.08 # Condensation attempts : 0
% 0.89/123.08 # Condensation successes : 0
% 0.89/123.08 # Termbank termtop insertions : 11475289
% 0.89/123.08
% 0.89/123.08 # -------------------------------------------------
% 0.89/123.08 # User time : 7.112 s
% 0.89/123.08 # System time : 0.098 s
% 0.89/123.08 # Total time : 7.210 s
% 0.89/123.08 # Maximum resident set size: 129824 pages
% 0.89/138.53 eprover: CPU time limit exceeded, terminating
% 0.89/138.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.89/138.55 eprover: No such file or directory
% 0.89/138.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.89/138.55 eprover: No such file or directory
% 0.89/138.56 eprover: CPU time limit exceeded, terminating
% 0.89/138.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.89/138.56 eprover: No such file or directory
% 0.89/138.56 eprover: CPU time limit exceeded, terminating
% 0.89/138.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.89/138.57 eprover: No such file or directory
% 0.89/138.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.89/138.57 eprover: No such file or directory
% 0.89/138.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.89/138.58 eprover: No such file or directory
% 0.89/138.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.89/138.58 eprover: No such file or directory
% 0.89/138.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.89/138.58 eprover: No such file or directory
% 0.89/138.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.89/138.58 eprover: No such file or directory
% 0.89/138.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.89/138.58 eprover: No such file or directory
% 0.89/138.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.89/138.59 eprover: No such file or directory
% 0.89/138.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.89/138.59 eprover: No such file or directory
% 0.89/138.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.89/138.59 eprover: No such file or directory
% 0.89/138.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.89/138.59 eprover: No such file or directory
% 0.89/138.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.89/138.59 eprover: No such file or directory
% 0.89/138.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.89/138.60 eprover: No such file or directory
% 0.89/138.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.89/138.60 eprover: No such file or directory
% 0.89/138.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.89/138.60 eprover: No such file or directory
%------------------------------------------------------------------------------