TSTP Solution File: SEU283+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU283+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n003.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 09:18:36 EDT 2022
% Result : Theorem 0.23s 2.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 4
% Syntax : Number of formulae : 60 ( 8 unt; 0 def)
% Number of atoms : 305 ( 133 equ)
% Maximal formula atoms : 70 ( 5 avg)
% Number of connectives : 355 ( 110 ~; 172 |; 56 &)
% ( 5 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 2 con; 0-3 aty)
% Number of variables : 128 ( 15 sgn 50 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(s1_funct_1__e16_22__wellord2__1,axiom,
! [X1] :
( ! [X2,X3,X4] :
( ( in(X2,X1)
& X3 = singleton(X2)
& in(X2,X1)
& X4 = singleton(X2) )
=> X3 = X4 )
=> ? [X2] :
( relation(X2)
& function(X2)
& ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(X3,X1)
& in(X3,X1)
& X4 = singleton(X3) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',s1_funct_1__e16_22__wellord2__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(s2_funct_1__e16_22__wellord2__1,conjecture,
! [X1] :
( ( ! [X2,X3,X4] :
( ( in(X2,X1)
& X3 = singleton(X2)
& X4 = singleton(X2) )
=> X3 = X4 )
& ! [X2] :
~ ( in(X2,X1)
& ! [X3] : X3 != singleton(X2) ) )
=> ? [X2] :
( relation(X2)
& function(X2)
& relation_dom(X2) = X1
& ! [X3] :
( in(X3,X1)
=> apply(X2,X3) = singleton(X3) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',s2_funct_1__e16_22__wellord2__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(c_0_4,plain,
! [X5,X10,X11,X10,X11] :
( ( relation(esk7_1(X5))
| in(esk4_1(X5),X5) )
& ( function(esk7_1(X5))
| in(esk4_1(X5),X5) )
& ( in(X10,X5)
| ~ in(ordered_pair(X10,X11),esk7_1(X5))
| in(esk4_1(X5),X5) )
& ( X11 = singleton(X10)
| ~ in(ordered_pair(X10,X11),esk7_1(X5))
| in(esk4_1(X5),X5) )
& ( ~ in(X10,X5)
| X11 != singleton(X10)
| in(ordered_pair(X10,X11),esk7_1(X5))
| in(esk4_1(X5),X5) )
& ( relation(esk7_1(X5))
| esk5_1(X5) = singleton(esk4_1(X5)) )
& ( function(esk7_1(X5))
| esk5_1(X5) = singleton(esk4_1(X5)) )
& ( in(X10,X5)
| ~ in(ordered_pair(X10,X11),esk7_1(X5))
| esk5_1(X5) = singleton(esk4_1(X5)) )
& ( X11 = singleton(X10)
| ~ in(ordered_pair(X10,X11),esk7_1(X5))
| esk5_1(X5) = singleton(esk4_1(X5)) )
& ( ~ in(X10,X5)
| X11 != singleton(X10)
| in(ordered_pair(X10,X11),esk7_1(X5))
| esk5_1(X5) = singleton(esk4_1(X5)) )
& ( relation(esk7_1(X5))
| in(esk4_1(X5),X5) )
& ( function(esk7_1(X5))
| in(esk4_1(X5),X5) )
& ( in(X10,X5)
| ~ in(ordered_pair(X10,X11),esk7_1(X5))
| in(esk4_1(X5),X5) )
& ( X11 = singleton(X10)
| ~ in(ordered_pair(X10,X11),esk7_1(X5))
| in(esk4_1(X5),X5) )
& ( ~ in(X10,X5)
| X11 != singleton(X10)
| in(ordered_pair(X10,X11),esk7_1(X5))
| in(esk4_1(X5),X5) )
& ( relation(esk7_1(X5))
| esk6_1(X5) = singleton(esk4_1(X5)) )
& ( function(esk7_1(X5))
| esk6_1(X5) = singleton(esk4_1(X5)) )
& ( in(X10,X5)
| ~ in(ordered_pair(X10,X11),esk7_1(X5))
| esk6_1(X5) = singleton(esk4_1(X5)) )
& ( X11 = singleton(X10)
| ~ in(ordered_pair(X10,X11),esk7_1(X5))
| esk6_1(X5) = singleton(esk4_1(X5)) )
& ( ~ in(X10,X5)
| X11 != singleton(X10)
| in(ordered_pair(X10,X11),esk7_1(X5))
| esk6_1(X5) = singleton(esk4_1(X5)) )
& ( relation(esk7_1(X5))
| esk5_1(X5) != esk6_1(X5) )
& ( function(esk7_1(X5))
| esk5_1(X5) != esk6_1(X5) )
& ( in(X10,X5)
| ~ in(ordered_pair(X10,X11),esk7_1(X5))
| esk5_1(X5) != esk6_1(X5) )
& ( X11 = singleton(X10)
| ~ in(ordered_pair(X10,X11),esk7_1(X5))
| esk5_1(X5) != esk6_1(X5) )
& ( ~ in(X10,X5)
| X11 != singleton(X10)
| in(ordered_pair(X10,X11),esk7_1(X5))
| esk5_1(X5) != esk6_1(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)],[inference(fof_simplification,[status(thm)],[s1_funct_1__e16_22__wellord2__1])])])])])])])]) ).
fof(c_0_5,plain,
! [X5,X6,X7,X7,X9,X6,X11] :
( ( ~ in(X7,X6)
| in(ordered_pair(X7,esk9_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(esk10_2(X5,X6),X6)
| ~ in(ordered_pair(esk10_2(X5,X6),X11),X5)
| X6 = relation_dom(X5)
| ~ relation(X5) )
& ( in(esk10_2(X5,X6),X6)
| in(ordered_pair(esk10_2(X5,X6),esk11_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_6,plain,
( relation(esk7_1(X1))
| esk5_1(X1) != esk6_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( esk6_1(X1) = singleton(esk4_1(X1))
| relation(esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( esk5_1(X1) = singleton(esk4_1(X1))
| relation(esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
( X2 = relation_dom(X1)
| in(ordered_pair(esk10_2(X1,X2),esk11_2(X1,X2)),X1)
| in(esk10_2(X1,X2),X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
relation(esk7_1(X1)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).
cnf(c_0_11,plain,
( esk6_1(X1) = singleton(esk4_1(X1))
| in(X2,X1)
| ~ in(ordered_pair(X2,X3),esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,plain,
( X1 = relation_dom(esk7_1(X2))
| in(ordered_pair(esk10_2(esk7_1(X2),X1),esk11_2(esk7_1(X2),X1)),esk7_1(X2))
| in(esk10_2(esk7_1(X2),X1),X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
( esk5_1(X1) = singleton(esk4_1(X1))
| in(X2,X1)
| ~ in(ordered_pair(X2,X3),esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_14,plain,
( esk6_1(X1) = singleton(esk4_1(X1))
| X2 = relation_dom(esk7_1(X1))
| in(esk10_2(esk7_1(X1),X2),X2)
| in(esk10_2(esk7_1(X1),X2),X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
( esk5_1(X1) = singleton(esk4_1(X1))
| X2 = relation_dom(esk7_1(X1))
| in(esk10_2(esk7_1(X1),X2),X2)
| in(esk10_2(esk7_1(X1),X2),X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_12]) ).
cnf(c_0_16,plain,
( esk6_1(X1) = singleton(esk4_1(X1))
| in(ordered_pair(X2,X3),esk7_1(X1))
| X3 != singleton(X2)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_17,plain,
( esk6_1(X1) = singleton(esk4_1(X1))
| relation_dom(esk7_1(X1)) = X1
| in(esk10_2(esk7_1(X1),X1),X1) ),
inference(ef,[status(thm)],[c_0_14]) ).
cnf(c_0_18,plain,
( esk5_1(X1) = singleton(esk4_1(X1))
| in(ordered_pair(X2,X3),esk7_1(X1))
| X3 != singleton(X2)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_19,plain,
( esk5_1(X1) = singleton(esk4_1(X1))
| relation_dom(esk7_1(X1)) = X1
| in(esk10_2(esk7_1(X1),X1),X1) ),
inference(ef,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
( esk6_1(X1) = singleton(esk4_1(X1))
| relation_dom(esk7_1(X1)) = X1
| in(ordered_pair(esk10_2(esk7_1(X1),X1),X2),esk7_1(X1))
| X2 != singleton(esk10_2(esk7_1(X1),X1)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
( esk5_1(X1) = singleton(esk4_1(X1))
| relation_dom(esk7_1(X1)) = X1
| in(ordered_pair(esk10_2(esk7_1(X1),X1),X2),esk7_1(X1))
| X2 != singleton(esk10_2(esk7_1(X1),X1)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,plain,
( in(X2,X1)
| esk5_1(X1) != esk6_1(X1)
| ~ in(ordered_pair(X2,X3),esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_23,plain,
( X2 = relation_dom(X1)
| ~ relation(X1)
| ~ in(ordered_pair(esk10_2(X1,X2),X3),X1)
| ~ in(esk10_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_24,plain,
( esk6_1(X1) = singleton(esk4_1(X1))
| relation_dom(esk7_1(X1)) = X1
| in(ordered_pair(esk10_2(esk7_1(X1),X1),singleton(esk10_2(esk7_1(X1),X1))),esk7_1(X1)) ),
inference(er,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
( esk5_1(X1) = singleton(esk4_1(X1))
| relation_dom(esk7_1(X1)) = X1
| in(ordered_pair(esk10_2(esk7_1(X1),X1),singleton(esk10_2(esk7_1(X1),X1))),esk7_1(X1)) ),
inference(er,[status(thm)],[c_0_21]) ).
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_5]) ).
cnf(c_0_27,plain,
( X1 = relation_dom(esk7_1(X2))
| in(esk10_2(esk7_1(X2),X1),X1)
| in(esk10_2(esk7_1(X2),X1),X2)
| esk6_1(X2) != esk5_1(X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_12]) ).
cnf(c_0_28,plain,
( esk6_1(X1) = singleton(esk4_1(X1))
| relation_dom(esk7_1(X1)) = X1 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_10])]),c_0_17]) ).
cnf(c_0_29,plain,
( esk5_1(X1) = singleton(esk4_1(X1))
| relation_dom(esk7_1(X1)) = X1 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_25]),c_0_10])]),c_0_19]) ).
cnf(c_0_30,plain,
( X1 = relation_dom(esk7_1(X2))
| in(esk10_2(esk7_1(X2),X1),X1)
| in(esk10_2(esk7_1(X2),X1),X3)
| X3 != relation_dom(esk7_1(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_12]),c_0_10])]) ).
cnf(c_0_31,plain,
( X1 = relation_dom(esk7_1(X2))
| in(esk10_2(esk7_1(X2),X1),X2)
| in(esk10_2(esk7_1(X2),X1),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30]) ).
cnf(c_0_32,plain,
( in(ordered_pair(X2,X3),esk7_1(X1))
| esk5_1(X1) != esk6_1(X1)
| X3 != singleton(X2)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_33,plain,
( relation_dom(esk7_1(X1)) = X1
| in(esk10_2(esk7_1(X1),X1),X1) ),
inference(ef,[status(thm)],[c_0_31]) ).
cnf(c_0_34,plain,
( relation_dom(esk7_1(X1)) = X1
| in(ordered_pair(esk10_2(esk7_1(X1),X1),X2),esk7_1(X1))
| X2 != singleton(esk10_2(esk7_1(X1),X1))
| esk6_1(X1) != esk5_1(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
fof(c_0_35,negated_conjecture,
~ ! [X1] :
( ( ! [X2,X3,X4] :
( ( in(X2,X1)
& X3 = singleton(X2)
& X4 = singleton(X2) )
=> X3 = X4 )
& ! [X2] :
~ ( in(X2,X1)
& ! [X3] : X3 != singleton(X2) ) )
=> ? [X2] :
( relation(X2)
& function(X2)
& relation_dom(X2) = X1
& ! [X3] :
( in(X3,X1)
=> apply(X2,X3) = singleton(X3) ) ) ),
inference(assume_negation,[status(cth)],[s2_funct_1__e16_22__wellord2__1]) ).
cnf(c_0_36,plain,
( relation_dom(esk7_1(X1)) = X1
| in(ordered_pair(esk10_2(esk7_1(X1),X1),singleton(esk10_2(esk7_1(X1),X1))),esk7_1(X1))
| esk6_1(X1) != esk5_1(X1) ),
inference(er,[status(thm)],[c_0_34]) ).
fof(c_0_37,negated_conjecture,
! [X6,X7,X8,X9,X11] :
( ( ~ in(X6,esk1_0)
| X7 != singleton(X6)
| X8 != singleton(X6)
| X7 = X8 )
& ( ~ in(X9,esk1_0)
| esk2_1(X9) = singleton(X9) )
& ( in(esk3_1(X11),esk1_0)
| ~ relation(X11)
| ~ function(X11)
| relation_dom(X11) != esk1_0 )
& ( apply(X11,esk3_1(X11)) != singleton(esk3_1(X11))
| ~ relation(X11)
| ~ function(X11)
| relation_dom(X11) != esk1_0 ) ),
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)],[c_0_35])])])])])])]) ).
cnf(c_0_38,plain,
( relation_dom(esk7_1(X1)) = X1
| in(ordered_pair(esk10_2(esk7_1(X1),X1),singleton(esk10_2(esk7_1(X1),X1))),esk7_1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_28]),c_0_29]) ).
cnf(c_0_39,plain,
( function(esk7_1(X1))
| esk5_1(X1) != esk6_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_40,plain,
( esk6_1(X1) = singleton(esk4_1(X1))
| function(esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_41,plain,
( esk5_1(X1) = singleton(esk4_1(X1))
| function(esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_42,negated_conjecture,
( in(esk3_1(X1),esk1_0)
| relation_dom(X1) != esk1_0
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_43,plain,
relation_dom(esk7_1(X1)) = X1,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_38]),c_0_10])]),c_0_33]) ).
cnf(c_0_44,plain,
function(esk7_1(X1)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).
cnf(c_0_45,negated_conjecture,
( in(esk3_1(esk7_1(X1)),esk1_0)
| X1 != esk1_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_44]),c_0_10])]) ).
cnf(c_0_46,negated_conjecture,
in(esk3_1(esk7_1(esk1_0)),esk1_0),
inference(er,[status(thm)],[c_0_45]) ).
fof(c_0_47,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_48,negated_conjecture,
( esk5_1(esk1_0) = singleton(esk4_1(esk1_0))
| in(ordered_pair(esk3_1(esk7_1(esk1_0)),X1),esk7_1(esk1_0))
| X1 != singleton(esk3_1(esk7_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_18,c_0_46]) ).
cnf(c_0_49,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_47]) ).
cnf(c_0_50,negated_conjecture,
( esk5_1(esk1_0) = singleton(esk4_1(esk1_0))
| in(ordered_pair(esk3_1(esk7_1(esk1_0)),singleton(esk3_1(esk7_1(esk1_0)))),esk7_1(esk1_0)) ),
inference(er,[status(thm)],[c_0_48]) ).
cnf(c_0_51,negated_conjecture,
( relation_dom(X1) != esk1_0
| ~ function(X1)
| ~ relation(X1)
| apply(X1,esk3_1(X1)) != singleton(esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_52,negated_conjecture,
( apply(esk7_1(esk1_0),esk3_1(esk7_1(esk1_0))) = singleton(esk3_1(esk7_1(esk1_0)))
| esk5_1(esk1_0) = singleton(esk4_1(esk1_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_49,c_0_50]),c_0_44]),c_0_10]),c_0_43]),c_0_46])]) ).
cnf(c_0_53,negated_conjecture,
( in(ordered_pair(esk3_1(esk7_1(esk1_0)),X1),esk7_1(esk1_0))
| X1 != singleton(esk3_1(esk7_1(esk1_0)))
| esk6_1(esk1_0) != esk5_1(esk1_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_46]) ).
cnf(c_0_54,negated_conjecture,
esk5_1(esk1_0) = singleton(esk4_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_43]),c_0_44]),c_0_10])]) ).
cnf(c_0_55,negated_conjecture,
( esk6_1(esk1_0) = singleton(esk4_1(esk1_0))
| in(ordered_pair(esk3_1(esk7_1(esk1_0)),X1),esk7_1(esk1_0))
| X1 != singleton(esk3_1(esk7_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_16,c_0_46]) ).
cnf(c_0_56,negated_conjecture,
( in(ordered_pair(esk3_1(esk7_1(esk1_0)),X1),esk7_1(esk1_0))
| X1 != singleton(esk3_1(esk7_1(esk1_0))) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).
cnf(c_0_57,negated_conjecture,
in(ordered_pair(esk3_1(esk7_1(esk1_0)),singleton(esk3_1(esk7_1(esk1_0)))),esk7_1(esk1_0)),
inference(er,[status(thm)],[c_0_56]) ).
cnf(c_0_58,negated_conjecture,
apply(esk7_1(esk1_0),esk3_1(esk7_1(esk1_0))) = singleton(esk3_1(esk7_1(esk1_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_49,c_0_57]),c_0_44]),c_0_10]),c_0_43]),c_0_46])]) ).
cnf(c_0_59,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_58]),c_0_43]),c_0_44]),c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : SEU283+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n003.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 : Sat Jun 18 20:27:43 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.23/2.42 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.23/2.42 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.23/2.42 # Preprocessing time : 0.017 s
% 0.23/2.42
% 0.23/2.42 # Proof found!
% 0.23/2.42 # SZS status Theorem
% 0.23/2.42 # SZS output start CNFRefutation
% See solution above
% 0.23/2.42 # Proof object total steps : 60
% 0.23/2.42 # Proof object clause steps : 51
% 0.23/2.42 # Proof object formula steps : 9
% 0.23/2.42 # Proof object conjectures : 17
% 0.23/2.42 # Proof object clause conjectures : 14
% 0.23/2.42 # Proof object formula conjectures : 3
% 0.23/2.42 # Proof object initial clauses used : 18
% 0.23/2.42 # Proof object initial formulas used : 4
% 0.23/2.42 # Proof object generating inferences : 32
% 0.23/2.42 # Proof object simplifying inferences : 39
% 0.23/2.42 # Training examples: 0 positive, 0 negative
% 0.23/2.42 # Parsed axioms : 37
% 0.23/2.42 # Removed by relevancy pruning/SinE : 15
% 0.23/2.42 # Initial clauses : 61
% 0.23/2.42 # Removed in clause preprocessing : 1
% 0.23/2.42 # Initial clauses in saturation : 60
% 0.23/2.42 # Processed clauses : 5433
% 0.23/2.42 # ...of these trivial : 6
% 0.23/2.42 # ...subsumed : 2861
% 0.23/2.42 # ...remaining for further processing : 2566
% 0.23/2.42 # Other redundant clauses eliminated : 110
% 0.23/2.42 # Clauses deleted for lack of memory : 0
% 0.23/2.42 # Backward-subsumed : 291
% 0.23/2.42 # Backward-rewritten : 1172
% 0.23/2.42 # Generated clauses : 11546
% 0.23/2.42 # ...of the previous two non-trivial : 11471
% 0.23/2.42 # Contextual simplify-reflections : 3342
% 0.23/2.42 # Paramodulations : 10367
% 0.23/2.42 # Factorizations : 68
% 0.23/2.42 # Equation resolutions : 1111
% 0.23/2.42 # Current number of processed clauses : 1103
% 0.23/2.42 # Positive orientable unit clauses : 25
% 0.23/2.42 # Positive unorientable unit clauses: 0
% 0.23/2.42 # Negative unit clauses : 13
% 0.23/2.42 # Non-unit-clauses : 1065
% 0.23/2.42 # Current number of unprocessed clauses: 2179
% 0.23/2.42 # ...number of literals in the above : 9427
% 0.23/2.42 # Current number of archived formulas : 0
% 0.23/2.42 # Current number of archived clauses : 1463
% 0.23/2.42 # Clause-clause subsumption calls (NU) : 1382283
% 0.23/2.42 # Rec. Clause-clause subsumption calls : 165461
% 0.23/2.42 # Non-unit clause-clause subsumptions : 6446
% 0.23/2.42 # Unit Clause-clause subsumption calls : 7523
% 0.23/2.42 # Rewrite failures with RHS unbound : 0
% 0.23/2.42 # BW rewrite match attempts : 58
% 0.23/2.42 # BW rewrite match successes : 54
% 0.23/2.42 # Condensation attempts : 0
% 0.23/2.42 # Condensation successes : 0
% 0.23/2.42 # Termbank termtop insertions : 431022
% 0.23/2.42
% 0.23/2.42 # -------------------------------------------------
% 0.23/2.42 # User time : 1.065 s
% 0.23/2.42 # System time : 0.017 s
% 0.23/2.42 # Total time : 1.082 s
% 0.23/2.42 # Maximum resident set size: 12024 pages
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------