TSTP Solution File: SEU214+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU214+1 : TPTP v8.1.0. Released v3.3.0.
% 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 0.33s 22.51s
% Output : CNFRefutation 0.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 70 ( 14 unt; 0 def)
% Number of atoms : 393 ( 78 equ)
% Maximal formula atoms : 38 ( 5 avg)
% Number of connectives : 596 ( 273 ~; 273 |; 29 &)
% ( 6 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 5 ( 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 : 223 ( 14 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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d4_funct_1) ).
fof(d5_tarski,axiom,
! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d8_relat_1) ).
fof(commutativity_k2_tarski,axiom,
! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t22_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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc1_funct_1) ).
fof(dt_k5_relat_1,axiom,
! [X1,X2] :
( ( relation(X1)
& relation(X2) )
=> relation(relation_composition(X1,X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k5_relat_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])])])])])])]) ).
fof(c_0_11,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_12,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_13,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_14,plain,
! [X3,X4] : unordered_pair(X3,X4) = unordered_pair(X4,X3),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
cnf(c_0_15,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_16,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_11]) ).
cnf(c_0_17,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_12,c_0_13]) ).
cnf(c_0_18,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,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_15,c_0_13]) ).
cnf(c_0_20,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_11]) ).
cnf(c_0_21,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_22,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_11]) ).
cnf(c_0_23,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_16,c_0_13]),c_0_13]),c_0_13]) ).
cnf(c_0_24,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_17,c_0_18]) ).
cnf(c_0_25,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_19,c_0_18]) ).
cnf(c_0_26,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_20,c_0_13]),c_0_13]) ).
cnf(c_0_27,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_21,c_0_13]) ).
cnf(c_0_28,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_22,c_0_13]),c_0_13]) ).
cnf(c_0_29,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_23,c_0_18]),c_0_18]),c_0_18]) ).
cnf(c_0_30,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_24]) ).
cnf(c_0_31,plain,
( in(X1,X2)
| X2 != relation_dom(X3)
| ~ relation(X3)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X4,X1)),X3) ),
inference(spm,[status(thm)],[c_0_25,c_0_18]) ).
cnf(c_0_32,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_26,c_0_18]),c_0_18]),c_0_18]) ).
cnf(c_0_33,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_27,c_0_18]) ).
cnf(c_0_34,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_28,c_0_18]),c_0_18]) ).
cnf(c_0_35,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_36,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,apply(X2,X3))),X4)
| X4 != relation_composition(X5,X2)
| ~ relation(X4)
| ~ relation(X2)
| ~ relation(X5)
| ~ function(X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),X5)
| ~ in(X3,relation_dom(X2)) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_37,plain,
( in(esk4_5(X1,X2,X3,X4,X5),X6)
| X3 != relation_composition(X1,X2)
| X6 != relation_dom(X2)
| ~ relation(X2)
| ~ relation(X3)
| ~ relation(X1)
| ~ in(unordered_pair(singleton(X4),unordered_pair(X4,X5)),X3) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,plain,
( esk4_5(X1,X2,X3,X4,X5) = apply(X1,X4)
| X3 != relation_composition(X1,X2)
| ~ relation(X1)
| ~ relation(X3)
| ~ relation(X2)
| ~ function(X1)
| ~ in(unordered_pair(singleton(X4),unordered_pair(X4,X5)),X3)
| ~ in(X4,relation_dom(X1)) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
fof(c_0_39,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_40,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_35,c_0_13]) ).
cnf(c_0_41,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,apply(X2,apply(X3,X1)))),X4)
| X4 != relation_composition(X3,X2)
| ~ relation(X4)
| ~ relation(X2)
| ~ relation(X3)
| ~ function(X2)
| ~ function(X3)
| ~ in(apply(X3,X1),relation_dom(X2))
| ~ in(X1,relation_dom(X3)) ),
inference(spm,[status(thm)],[c_0_36,c_0_30]) ).
fof(c_0_42,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])])]) ).
fof(c_0_43,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_44,plain,
( in(apply(X1,X2),X3)
| X4 != relation_composition(X1,X5)
| X3 != relation_dom(X5)
| ~ relation(X5)
| ~ relation(X4)
| ~ relation(X1)
| ~ function(X1)
| ~ in(unordered_pair(singleton(X2),unordered_pair(X2,X6)),X4)
| ~ in(X2,relation_dom(X1)) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
fof(c_0_45,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)))
& apply(relation_composition(esk17_0,esk16_0),esk15_0) != apply(esk16_0,apply(esk17_0,esk15_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_39])])])])]) ).
cnf(c_0_46,plain,
( in(X1,X2)
| X3 != relation_composition(X4,X5)
| X2 != relation_dom(X4)
| ~ relation(X4)
| ~ relation(X3)
| ~ relation(X5)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X6)),X3) ),
inference(spm,[status(thm)],[c_0_25,c_0_34]) ).
cnf(c_0_47,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_40,c_0_18]) ).
cnf(c_0_48,plain,
( apply(X1,apply(X2,X3)) = apply(X4,X3)
| X4 != relation_composition(X2,X1)
| ~ relation(X4)
| ~ relation(X1)
| ~ relation(X2)
| ~ function(X4)
| ~ function(X1)
| ~ function(X2)
| ~ in(apply(X2,X3),relation_dom(X1))
| ~ in(X3,relation_dom(X4))
| ~ in(X3,relation_dom(X2)) ),
inference(spm,[status(thm)],[c_0_33,c_0_41]) ).
cnf(c_0_49,plain,
( function(relation_composition(X2,X1))
| ~ function(X1)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_50,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_51,plain,
( in(apply(X1,X2),X3)
| X4 != relation_composition(X1,X5)
| X3 != relation_dom(X5)
| ~ relation(X5)
| ~ relation(X4)
| ~ relation(X1)
| ~ function(X1)
| ~ function(X4)
| ~ in(X2,relation_dom(X1))
| ~ in(X2,relation_dom(X4)) ),
inference(spm,[status(thm)],[c_0_44,c_0_30]) ).
cnf(c_0_52,negated_conjecture,
in(esk15_0,relation_dom(relation_composition(esk17_0,esk16_0))),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_53,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_46,c_0_47]) ).
cnf(c_0_54,negated_conjecture,
apply(relation_composition(esk17_0,esk16_0),esk15_0) != apply(esk16_0,apply(esk17_0,esk15_0)),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_55,plain,
( apply(relation_composition(X1,X2),X3) = apply(X2,apply(X1,X3))
| ~ relation(X2)
| ~ relation(X1)
| ~ function(X2)
| ~ function(X1)
| ~ in(apply(X1,X3),relation_dom(X2))
| ~ in(X3,relation_dom(relation_composition(X1,X2)))
| ~ in(X3,relation_dom(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_48]),c_0_49]),c_0_50]) ).
cnf(c_0_56,negated_conjecture,
relation(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_57,negated_conjecture,
relation(esk17_0),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_58,negated_conjecture,
function(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_59,negated_conjecture,
function(esk17_0),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_60,negated_conjecture,
( in(apply(X1,esk15_0),X2)
| relation_composition(esk17_0,esk16_0) != relation_composition(X1,X3)
| X2 != relation_dom(X3)
| ~ relation(relation_composition(esk17_0,esk16_0))
| ~ relation(X3)
| ~ relation(X1)
| ~ function(relation_composition(esk17_0,esk16_0))
| ~ function(X1)
| ~ in(esk15_0,relation_dom(X1)) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_61,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_53]),c_0_50]) ).
cnf(c_0_62,negated_conjecture,
( ~ in(apply(esk17_0,esk15_0),relation_dom(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_52])]) ).
cnf(c_0_63,negated_conjecture,
( in(apply(esk17_0,esk15_0),X1)
| X1 != relation_dom(esk16_0)
| ~ relation(relation_composition(esk17_0,esk16_0))
| ~ function(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(er,[status(thm)],[c_0_60]),c_0_56]),c_0_57]),c_0_59])]) ).
cnf(c_0_64,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_61]) ).
cnf(c_0_65,negated_conjecture,
( ~ relation(relation_composition(esk17_0,esk16_0))
| ~ function(relation_composition(esk17_0,esk16_0))
| ~ in(esk15_0,relation_dom(esk17_0)) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_66,negated_conjecture,
( in(esk15_0,X1)
| X1 != relation_dom(esk17_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_52]),c_0_57]),c_0_56])]) ).
cnf(c_0_67,negated_conjecture,
( ~ relation(relation_composition(esk17_0,esk16_0))
| ~ function(relation_composition(esk17_0,esk16_0)) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_68,negated_conjecture,
~ 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_67,c_0_50]),c_0_56]),c_0_57])]) ).
cnf(c_0_69,negated_conjecture,
$false,
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_68,c_0_49]),c_0_57]),c_0_56]),c_0_59]),c_0_58])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU214+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n011.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 01:59:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.33/22.51 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.33/22.51 # Preprocessing time : 0.017 s
% 0.33/22.51
% 0.33/22.51 # Proof found!
% 0.33/22.51 # SZS status Theorem
% 0.33/22.51 # SZS output start CNFRefutation
% See solution above
% 0.33/22.51 # Proof object total steps : 70
% 0.33/22.51 # Proof object clause steps : 53
% 0.33/22.51 # Proof object formula steps : 17
% 0.33/22.51 # Proof object conjectures : 17
% 0.33/22.51 # Proof object clause conjectures : 14
% 0.33/22.51 # Proof object formula conjectures : 3
% 0.33/22.51 # Proof object initial clauses used : 17
% 0.33/22.51 # Proof object initial formulas used : 8
% 0.33/22.51 # Proof object generating inferences : 22
% 0.33/22.51 # Proof object simplifying inferences : 47
% 0.33/22.51 # Training examples: 0 positive, 0 negative
% 0.33/22.51 # Parsed axioms : 40
% 0.33/22.51 # Removed by relevancy pruning/SinE : 0
% 0.33/22.51 # Initial clauses : 67
% 0.33/22.51 # Removed in clause preprocessing : 8
% 0.33/22.51 # Initial clauses in saturation : 59
% 0.33/22.51 # Processed clauses : 39698
% 0.33/22.51 # ...of these trivial : 119
% 0.33/22.51 # ...subsumed : 28944
% 0.33/22.51 # ...remaining for further processing : 10635
% 0.33/22.51 # Other redundant clauses eliminated : 1
% 0.33/22.51 # Clauses deleted for lack of memory : 157560
% 0.33/22.51 # Backward-subsumed : 675
% 0.33/22.51 # Backward-rewritten : 1556
% 0.33/22.51 # Generated clauses : 317849
% 0.33/22.51 # ...of the previous two non-trivial : 310440
% 0.33/22.51 # Contextual simplify-reflections : 40387
% 0.33/22.51 # Paramodulations : 313336
% 0.33/22.51 # Factorizations : 120
% 0.33/22.51 # Equation resolutions : 1603
% 0.33/22.51 # Current number of processed clauses : 7316
% 0.33/22.51 # Positive orientable unit clauses : 897
% 0.33/22.51 # Positive unorientable unit clauses: 1
% 0.33/22.51 # Negative unit clauses : 705
% 0.33/22.51 # Non-unit-clauses : 5713
% 0.33/22.51 # Current number of unprocessed clauses: 81987
% 0.33/22.51 # ...number of literals in the above : 678241
% 0.33/22.51 # Current number of archived formulas : 0
% 0.33/22.51 # Current number of archived clauses : 2232
% 0.33/22.51 # Clause-clause subsumption calls (NU) : 43996522
% 0.33/22.51 # Rec. Clause-clause subsumption calls : 3081795
% 0.33/22.51 # Non-unit clause-clause subsumptions : 65298
% 0.33/22.51 # Unit Clause-clause subsumption calls : 2629996
% 0.33/22.51 # Rewrite failures with RHS unbound : 0
% 0.33/22.51 # BW rewrite match attempts : 877
% 0.33/22.51 # BW rewrite match successes : 877
% 0.33/22.51 # Condensation attempts : 0
% 0.33/22.51 # Condensation successes : 0
% 0.33/22.51 # Termbank termtop insertions : 10307139
% 0.33/22.51
% 0.33/22.51 # -------------------------------------------------
% 0.33/22.51 # User time : 21.409 s
% 0.33/22.51 # System time : 0.130 s
% 0.33/22.51 # Total time : 21.539 s
% 0.33/22.51 # Maximum resident set size: 146436 pages
% 0.35/23.40 eprover: CPU time limit exceeded, terminating
% 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: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.42 eprover: No such file or directory
% 0.35/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.42 eprover: No such file or directory
% 0.35/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/23.42 eprover: No such file or directory
% 0.35/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/23.43 eprover: No such file or directory
% 0.35/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/23.43 eprover: No such file or directory
% 0.35/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/23.43 eprover: No such file or directory
% 0.35/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.43 eprover: No such file or directory
% 0.35/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/23.43 eprover: No such file or directory
% 0.35/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/23.43 eprover: No such file or directory
% 0.35/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.43 eprover: No such file or directory
% 0.35/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/23.44 eprover: No such file or directory
% 0.35/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/23.44 eprover: No such file or directory
% 0.35/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.44 eprover: No such file or directory
% 0.35/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/23.44 eprover: No such file or directory
% 0.35/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/23.44 eprover: No such file or directory
% 0.35/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.44 eprover: No such file or directory
% 0.35/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/23.45 eprover: No such file or directory
% 0.35/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/23.45 eprover: No such file or directory
% 0.35/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.ineprover:
% 0.35/23.45 Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/23.45 eprover: No such file or directory
% 0.35/23.45 eprover: No such file or directory
% 0.35/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/23.45 eprover: No such file or directory
% 0.35/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/23.45 eprover: No such file or directory
% 0.35/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.46 eprover: No such file or directory
% 0.35/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/23.46 eprover: No such file or directory
% 0.35/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/23.46 eprover: No such file or directory
% 0.35/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/23.46 eprover: No such file or directory
% 0.35/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.46 eprover: No such file or directory
% 0.35/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/23.46 eprover: No such file or directory
% 0.35/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/23.47 eprover: No such file or directory
% 0.35/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.47 eprover: No such file or directory
% 0.35/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/23.47 eprover: No such file or directory
% 0.35/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/23.47 eprover: No such file or directory
% 0.35/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------