TSTP Solution File: SEU214+3 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU214+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n011.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 09:17:53 EDT 2022
% Result : Theorem 0.76s 116.93s
% Output : CNFRefutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of formulae : 63 ( 21 unt; 0 def)
% Number of atoms : 276 ( 53 equ)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 372 ( 159 ~; 163 |; 29 &)
% ( 6 <=>; 15 =>; 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 : 152 ( 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(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(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(t22_funct_1,conjecture,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X1,relation_dom(relation_composition(X3,X2)))
=> apply(relation_composition(X3,X2),X1) = apply(X2,apply(X3,X1)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t22_funct_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(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]) ).
fof(c_0_10,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_11,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_12,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_13,plain,
! [X3,X4] : unordered_pair(X3,X4) = unordered_pair(X4,X3),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
fof(c_0_14,negated_conjecture,
~ ! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X1,relation_dom(relation_composition(X3,X2)))
=> apply(relation_composition(X3,X2),X1) = apply(X2,apply(X3,X1)) ) ) ),
inference(assume_negation,[status(cth)],[t22_funct_1]) ).
cnf(c_0_15,plain,
( in(ordered_pair(X3,esk1_3(X1,X2,X3)),X1)
| ~ relation(X1)
| X2 != relation_dom(X1)
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,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_11,c_0_12]) ).
cnf(c_0_17,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_18,negated_conjecture,
( relation(esk18_0)
& function(esk18_0)
& relation(esk19_0)
& function(esk19_0)
& in(esk17_0,relation_dom(relation_composition(esk19_0,esk18_0)))
& apply(relation_composition(esk19_0,esk18_0),esk17_0) != apply(esk18_0,apply(esk19_0,esk17_0)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])]) ).
cnf(c_0_19,plain,
( in(unordered_pair(unordered_pair(X3,esk1_3(X1,X2,X3)),singleton(X3)),X1)
| X2 != relation_dom(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
inference(rw,[status(thm)],[c_0_15,c_0_12]) ).
fof(c_0_20,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_21,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_16,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
in(esk17_0,relation_dom(relation_composition(esk19_0,esk18_0))),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_23,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_24,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk1_3(X2,X3,X1))),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
inference(rw,[status(thm)],[c_0_19,c_0_17]) ).
cnf(c_0_25,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_20]) ).
cnf(c_0_26,negated_conjecture,
( X1 = apply(relation_composition(esk19_0,esk18_0),esk17_0)
| ~ relation(relation_composition(esk19_0,esk18_0))
| ~ function(relation_composition(esk19_0,esk18_0))
| ~ in(unordered_pair(singleton(esk17_0),unordered_pair(esk17_0,X1)),relation_composition(esk19_0,esk18_0)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,negated_conjecture,
relation(esk18_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_29,negated_conjecture,
relation(esk19_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_30,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_31,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk1_3(X2,relation_dom(X2),X1))),X2)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(er,[status(thm)],[c_0_24]) ).
cnf(c_0_32,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_25,c_0_12]),c_0_12]) ).
cnf(c_0_33,negated_conjecture,
( X1 = apply(relation_composition(esk19_0,esk18_0),esk17_0)
| ~ function(relation_composition(esk19_0,esk18_0))
| ~ in(unordered_pair(singleton(esk17_0),unordered_pair(esk17_0,X1)),relation_composition(esk19_0,esk18_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_34,plain,
( function(relation_composition(X2,X1))
| ~ function(X1)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,negated_conjecture,
function(esk19_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_36,negated_conjecture,
function(esk18_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_37,negated_conjecture,
( in(unordered_pair(singleton(esk17_0),unordered_pair(esk17_0,esk1_3(relation_composition(esk19_0,esk18_0),relation_dom(relation_composition(esk19_0,esk18_0)),esk17_0))),relation_composition(esk19_0,esk18_0))
| ~ relation(relation_composition(esk19_0,esk18_0)) ),
inference(spm,[status(thm)],[c_0_31,c_0_22]) ).
cnf(c_0_38,plain,
( in(X3,X2)
| ~ relation(X1)
| X2 != relation_dom(X1)
| ~ in(ordered_pair(X3,X4),X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_39,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_32,c_0_17]),c_0_17]) ).
cnf(c_0_40,negated_conjecture,
( X1 = apply(relation_composition(esk19_0,esk18_0),esk17_0)
| ~ in(unordered_pair(singleton(esk17_0),unordered_pair(esk17_0,X1)),relation_composition(esk19_0,esk18_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_33,c_0_34]),c_0_29]),c_0_28]),c_0_35]),c_0_36])]) ).
cnf(c_0_41,negated_conjecture,
in(unordered_pair(singleton(esk17_0),unordered_pair(esk17_0,esk1_3(relation_composition(esk19_0,esk18_0),relation_dom(relation_composition(esk19_0,esk18_0)),esk17_0))),relation_composition(esk19_0,esk18_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_27]),c_0_28]),c_0_29])]) ).
cnf(c_0_42,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_38,c_0_12]) ).
cnf(c_0_43,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_39]) ).
cnf(c_0_44,negated_conjecture,
esk1_3(relation_composition(esk19_0,esk18_0),relation_dom(relation_composition(esk19_0,esk18_0)),esk17_0) = apply(relation_composition(esk19_0,esk18_0),esk17_0),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,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_20]) ).
cnf(c_0_46,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_42,c_0_17]) ).
cnf(c_0_47,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_43,c_0_27]) ).
cnf(c_0_48,negated_conjecture,
in(unordered_pair(singleton(esk17_0),unordered_pair(esk17_0,apply(relation_composition(esk19_0,esk18_0),esk17_0))),relation_composition(esk19_0,esk18_0)),
inference(rw,[status(thm)],[c_0_41,c_0_44]) ).
cnf(c_0_49,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_45,c_0_12]),c_0_12]) ).
cnf(c_0_50,plain,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),X2) ),
inference(er,[status(thm)],[c_0_46]) ).
cnf(c_0_51,negated_conjecture,
in(unordered_pair(singleton(esk17_0),unordered_pair(esk17_0,esk4_5(esk19_0,esk18_0,relation_composition(esk19_0,esk18_0),esk17_0,apply(relation_composition(esk19_0,esk18_0),esk17_0)))),esk19_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_28]),c_0_29])]) ).
cnf(c_0_52,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_49,c_0_17]),c_0_17]),c_0_17]) ).
cnf(c_0_53,negated_conjecture,
in(esk17_0,relation_dom(esk19_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_29])]) ).
cnf(c_0_54,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_52]) ).
cnf(c_0_55,negated_conjecture,
( X1 = apply(esk19_0,esk17_0)
| ~ in(unordered_pair(singleton(esk17_0),unordered_pair(esk17_0,X1)),esk19_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_53]),c_0_29]),c_0_35])]) ).
cnf(c_0_56,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_54,c_0_27]) ).
cnf(c_0_57,negated_conjecture,
esk4_5(esk19_0,esk18_0,relation_composition(esk19_0,esk18_0),esk17_0,apply(relation_composition(esk19_0,esk18_0),esk17_0)) = apply(esk19_0,esk17_0),
inference(spm,[status(thm)],[c_0_55,c_0_51]) ).
cnf(c_0_58,negated_conjecture,
in(unordered_pair(singleton(apply(esk19_0,esk17_0)),unordered_pair(apply(esk19_0,esk17_0),apply(relation_composition(esk19_0,esk18_0),esk17_0))),esk18_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_48]),c_0_57]),c_0_57]),c_0_17]),c_0_28]),c_0_29])]) ).
cnf(c_0_59,negated_conjecture,
in(apply(esk19_0,esk17_0),relation_dom(esk18_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_58]),c_0_28])]) ).
cnf(c_0_60,negated_conjecture,
( X1 = apply(esk18_0,apply(esk19_0,esk17_0))
| ~ in(unordered_pair(singleton(apply(esk19_0,esk17_0)),unordered_pair(apply(esk19_0,esk17_0),X1)),esk18_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_59]),c_0_28]),c_0_36])]) ).
cnf(c_0_61,negated_conjecture,
apply(relation_composition(esk19_0,esk18_0),esk17_0) != apply(esk18_0,apply(esk19_0,esk17_0)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_62,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_58]),c_0_61]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU214+3 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n011.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 : Sun Jun 19 17:21:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.31/23.39 eprover: CPU time limit exceeded, terminating
% 0.31/23.40 eprover: CPU time limit exceeded, terminating
% 0.31/23.40 eprover: CPU time limit exceeded, terminating
% 0.31/23.46 eprover: CPU time limit exceeded, terminating
% 0.42/46.41 eprover: CPU time limit exceeded, terminating
% 0.42/46.42 eprover: CPU time limit exceeded, terminating
% 0.42/46.42 eprover: CPU time limit exceeded, terminating
% 0.42/46.48 eprover: CPU time limit exceeded, terminating
% 0.53/69.42 eprover: CPU time limit exceeded, terminating
% 0.53/69.43 eprover: CPU time limit exceeded, terminating
% 0.53/69.45 eprover: CPU time limit exceeded, terminating
% 0.53/69.49 eprover: CPU time limit exceeded, terminating
% 0.64/92.44 eprover: CPU time limit exceeded, terminating
% 0.64/92.47 eprover: CPU time limit exceeded, terminating
% 0.64/92.47 eprover: CPU time limit exceeded, terminating
% 0.64/92.51 eprover: CPU time limit exceeded, terminating
% 0.75/115.45 eprover: CPU time limit exceeded, terminating
% 0.75/115.48 eprover: CPU time limit exceeded, terminating
% 0.75/115.51 eprover: CPU time limit exceeded, terminating
% 0.75/115.52 eprover: CPU time limit exceeded, terminating
% 0.76/116.93 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.76/116.93
% 0.76/116.93 # Failure: Resource limit exceeded (time)
% 0.76/116.93 # OLD status Res
% 0.76/116.93 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.76/116.93 # Preprocessing time : 0.016 s
% 0.76/116.93 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.76/116.93
% 0.76/116.93 # Failure: Resource limit exceeded (time)
% 0.76/116.93 # OLD status Res
% 0.76/116.93 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.76/116.93 # Preprocessing time : 0.015 s
% 0.76/116.93 # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 0.76/116.93
% 0.76/116.93 # Failure: Resource limit exceeded (time)
% 0.76/116.93 # OLD status Res
% 0.76/116.93 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 0.76/116.93 # Preprocessing time : 0.009 s
% 0.76/116.93 # Running protocol protocol_eprover_33aa8a325940064c53b389b41203bb48a5cb5006 for 23 seconds:
% 0.76/116.93
% 0.76/116.93 # Failure: Resource limit exceeded (time)
% 0.76/116.93 # OLD status Res
% 0.76/116.93 # Preprocessing time : 0.017 s
% 0.76/116.93 # Running protocol protocol_eprover_260890dcdd2d907655d788d68835201aeffdef4a for 23 seconds:
% 0.76/116.93
% 0.76/116.93 # Failure: Resource limit exceeded (time)
% 0.76/116.93 # OLD status Res
% 0.76/116.93 # SinE strategy is GSinE(CountFormulas,,1.5,,03,100,1.0)
% 0.76/116.93 # Preprocessing time : 0.009 s
% 0.76/116.93 # Running protocol protocol_eprover_9a428cb4e1feff5dec19b8494e78e7f0e8ede446 for 23 seconds:
% 0.76/116.93 # Preprocessing time : 0.009 s
% 0.76/116.93
% 0.76/116.93 # Proof found!
% 0.76/116.93 # SZS status Theorem
% 0.76/116.93 # SZS output start CNFRefutation
% See solution above
% 0.76/116.93 # Proof object total steps : 63
% 0.76/116.93 # Proof object clause steps : 46
% 0.76/116.93 # Proof object formula steps : 17
% 0.76/116.93 # Proof object conjectures : 24
% 0.76/116.93 # Proof object clause conjectures : 21
% 0.76/116.93 # Proof object formula conjectures : 3
% 0.76/116.93 # Proof object initial clauses used : 15
% 0.76/116.93 # Proof object initial formulas used : 8
% 0.76/116.93 # Proof object generating inferences : 20
% 0.76/116.93 # Proof object simplifying inferences : 47
% 0.76/116.93 # Training examples: 0 positive, 0 negative
% 0.76/116.93 # Parsed axioms : 40
% 0.76/116.93 # Removed by relevancy pruning/SinE : 0
% 0.76/116.93 # Initial clauses : 70
% 0.76/116.93 # Removed in clause preprocessing : 1
% 0.76/116.93 # Initial clauses in saturation : 69
% 0.76/116.93 # Processed clauses : 5678
% 0.76/116.93 # ...of these trivial : 5
% 0.76/116.93 # ...subsumed : 4697
% 0.76/116.93 # ...remaining for further processing : 976
% 0.76/116.93 # Other redundant clauses eliminated : 704
% 0.76/116.93 # Clauses deleted for lack of memory : 0
% 0.76/116.93 # Backward-subsumed : 119
% 0.76/116.93 # Backward-rewritten : 47
% 0.76/116.93 # Generated clauses : 43951
% 0.76/116.93 # ...of the previous two non-trivial : 42552
% 0.76/116.93 # Contextual simplify-reflections : 0
% 0.76/116.93 # Paramodulations : 43185
% 0.76/116.93 # Factorizations : 2
% 0.76/116.93 # Equation resolutions : 764
% 0.76/116.93 # Current number of processed clauses : 810
% 0.76/116.93 # Positive orientable unit clauses : 38
% 0.76/116.93 # Positive unorientable unit clauses: 1
% 0.76/116.93 # Negative unit clauses : 21
% 0.76/116.93 # Non-unit-clauses : 750
% 0.76/116.93 # Current number of unprocessed clauses: 30430
% 0.76/116.93 # ...number of literals in the above : 232046
% 0.76/116.93 # Current number of archived formulas : 0
% 0.76/116.93 # Current number of archived clauses : 167
% 0.76/116.93 # Clause-clause subsumption calls (NU) : 157882
% 0.76/116.93 # Rec. Clause-clause subsumption calls : 19886
% 0.76/116.93 # Non-unit clause-clause subsumptions : 2697
% 0.76/116.93 # Unit Clause-clause subsumption calls : 1971
% 0.76/116.93 # Rewrite failures with RHS unbound : 0
% 0.76/116.93 # BW rewrite match attempts : 25
% 0.76/116.93 # BW rewrite match successes : 11
% 0.76/116.93 # Condensation attempts : 0
% 0.76/116.93 # Condensation successes : 0
% 0.76/116.93 # Termbank termtop insertions : 945014
% 0.76/116.93
% 0.76/116.93 # -------------------------------------------------
% 0.76/116.93 # User time : 0.539 s
% 0.76/116.93 # System time : 0.012 s
% 0.76/116.93 # Total time : 0.551 s
% 0.76/116.93 # Maximum resident set size: 31264 pages
% 0.76/138.50 eprover: CPU time limit exceeded, terminating
% 0.76/138.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.76/138.51 eprover: No such file or directory
% 0.76/138.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.76/138.51 eprover: No such file or directory
% 0.76/138.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.76/138.52 eprover: No such file or directory
% 0.76/138.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.76/138.52 eprover: No such file or directory
% 0.76/138.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.76/138.53 eprover: No such file or directory
% 0.76/138.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.76/138.53 eprover: No such file or directory
% 0.76/138.53 eprover: eprover: CPU time limit exceeded, terminating
% 0.76/138.53 CPU time limit exceeded, terminating
% 0.76/138.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.76/138.55 eprover: No such file or directory
% 0.76/138.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.76/138.55 eprover: No such file or directory
% 0.76/138.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.76/138.55 eprover: No such file or directory
% 0.76/138.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.76/138.55 eprover: No such file or directory
% 0.76/138.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.76/138.56 eprover: No such file or directory
% 0.76/138.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.76/138.56 eprover: No such file or directory
% 0.76/138.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.76/138.56 eprover: No such file or directory
% 0.76/138.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.76/138.56 eprover: No such file or directory
% 0.76/138.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.76/138.57 eprover: No such file or directory
% 0.76/138.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.76/138.57 eprover: No such file or directory
% 0.76/138.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.76/138.58 eprover: No such file or directory
% 0.76/138.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.76/138.58 eprover: No such file or directory
%------------------------------------------------------------------------------