TSTP Solution File: SET768+4 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET768+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n013.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 00:53:51 EDT 2022
% Result : Theorem 0.22s 1.42s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 6
% Syntax : Number of formulae : 57 ( 12 unt; 0 def)
% Number of atoms : 391 ( 0 equ)
% Maximal formula atoms : 207 ( 6 avg)
% Number of connectives : 455 ( 121 ~; 234 |; 79 &)
% ( 8 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 65 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 138 ( 15 sgn 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(equivalence,axiom,
! [X1,X7] :
( equivalence(X7,X1)
<=> ( ! [X3] :
( member(X3,X1)
=> apply(X7,X3,X3) )
& ! [X3,X5] :
( ( member(X3,X1)
& member(X5,X1) )
=> ( apply(X7,X3,X5)
=> apply(X7,X5,X3) ) )
& ! [X3,X5,X6] :
( ( member(X3,X1)
& member(X5,X1)
& member(X6,X1) )
=> ( ( apply(X7,X3,X5)
& apply(X7,X5,X6) )
=> apply(X7,X3,X6) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+2.ax',equivalence) ).
fof(thIII04,conjecture,
! [X4,X7,X1,X2] :
( ( equivalence(X7,X4)
& member(X1,X4)
& member(X2,X4) )
=> ( equal_set(equivalence_class(X1,X4,X7),equivalence_class(X2,X4,X7))
<=> apply(X7,X1,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',thIII04) ).
fof(equivalence_class,axiom,
! [X7,X4,X1,X3] :
( member(X3,equivalence_class(X1,X4,X7))
<=> ( member(X3,X4)
& apply(X7,X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+2.ax',equivalence_class) ).
fof(subset,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).
fof(equal_set,axiom,
! [X1,X2] :
( equal_set(X1,X2)
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',equal_set) ).
fof(c_0_5,plain,
! [X1,X7] :
( epred1_2(X7,X1)
<=> ( ! [X3] :
( member(X3,X1)
=> apply(X7,X3,X3) )
& ! [X3,X5] :
( ( member(X3,X1)
& member(X5,X1) )
=> ( apply(X7,X3,X5)
=> apply(X7,X5,X3) ) )
& ! [X3,X5,X6] :
( ( member(X3,X1)
& member(X5,X1)
& member(X6,X1) )
=> ( ( apply(X7,X3,X5)
& apply(X7,X5,X6) )
=> apply(X7,X3,X6) ) ) ) ),
introduced(definition) ).
fof(c_0_6,axiom,
! [X1,X7] :
( equivalence(X7,X1)
<=> epred1_2(X7,X1) ),
inference(apply_def,[status(thm)],[equivalence,c_0_5]) ).
fof(c_0_7,negated_conjecture,
~ ! [X4,X7,X1,X2] :
( ( equivalence(X7,X4)
& member(X1,X4)
& member(X2,X4) )
=> ( equal_set(equivalence_class(X1,X4,X7),equivalence_class(X2,X4,X7))
<=> apply(X7,X1,X2) ) ),
inference(assume_negation,[status(cth)],[thIII04]) ).
fof(c_0_8,plain,
! [X8,X9,X8,X9] :
( ( ~ equivalence(X9,X8)
| epred1_2(X9,X8) )
& ( ~ epred1_2(X9,X8)
| equivalence(X9,X8) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
fof(c_0_9,negated_conjecture,
( equivalence(esk2_0,esk1_0)
& member(esk3_0,esk1_0)
& member(esk4_0,esk1_0)
& ( ~ equal_set(equivalence_class(esk3_0,esk1_0,esk2_0),equivalence_class(esk4_0,esk1_0,esk2_0))
| ~ apply(esk2_0,esk3_0,esk4_0) )
& ( equal_set(equivalence_class(esk3_0,esk1_0,esk2_0),equivalence_class(esk4_0,esk1_0,esk2_0))
| apply(esk2_0,esk3_0,esk4_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_10,plain,
! [X8,X9,X10,X11,X12,X13,X14,X15,X8,X9] :
( ( ~ member(X10,X8)
| apply(X9,X10,X10)
| ~ epred1_2(X9,X8) )
& ( ~ member(X11,X8)
| ~ member(X12,X8)
| ~ apply(X9,X11,X12)
| apply(X9,X12,X11)
| ~ epred1_2(X9,X8) )
& ( ~ member(X13,X8)
| ~ member(X14,X8)
| ~ member(X15,X8)
| ~ apply(X9,X13,X14)
| ~ apply(X9,X14,X15)
| apply(X9,X13,X15)
| ~ epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| member(esk6_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| member(esk6_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk11_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| member(esk6_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| member(esk6_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk10_2(X8,X9),esk11_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| member(esk6_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk9_2(X8,X9),esk11_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| member(esk6_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| member(esk8_2(X8,X9),X8)
| member(esk6_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| member(esk8_2(X8,X9),X8)
| member(esk6_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk11_2(X8,X9),X8)
| member(esk8_2(X8,X9),X8)
| member(esk6_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| member(esk8_2(X8,X9),X8)
| member(esk6_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk10_2(X8,X9),esk11_2(X8,X9))
| member(esk8_2(X8,X9),X8)
| member(esk6_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk9_2(X8,X9),esk11_2(X8,X9))
| member(esk8_2(X8,X9),X8)
| member(esk6_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| apply(X9,esk7_2(X8,X9),esk8_2(X8,X9))
| member(esk6_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| apply(X9,esk7_2(X8,X9),esk8_2(X8,X9))
| member(esk6_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk11_2(X8,X9),X8)
| apply(X9,esk7_2(X8,X9),esk8_2(X8,X9))
| member(esk6_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| apply(X9,esk7_2(X8,X9),esk8_2(X8,X9))
| member(esk6_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk10_2(X8,X9),esk11_2(X8,X9))
| apply(X9,esk7_2(X8,X9),esk8_2(X8,X9))
| member(esk6_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk9_2(X8,X9),esk11_2(X8,X9))
| apply(X9,esk7_2(X8,X9),esk8_2(X8,X9))
| member(esk6_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| ~ apply(X9,esk8_2(X8,X9),esk7_2(X8,X9))
| member(esk6_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| ~ apply(X9,esk8_2(X8,X9),esk7_2(X8,X9))
| member(esk6_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk11_2(X8,X9),X8)
| ~ apply(X9,esk8_2(X8,X9),esk7_2(X8,X9))
| member(esk6_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| ~ apply(X9,esk8_2(X8,X9),esk7_2(X8,X9))
| member(esk6_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk10_2(X8,X9),esk11_2(X8,X9))
| ~ apply(X9,esk8_2(X8,X9),esk7_2(X8,X9))
| member(esk6_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk9_2(X8,X9),esk11_2(X8,X9))
| ~ apply(X9,esk8_2(X8,X9),esk7_2(X8,X9))
| member(esk6_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| ~ apply(X9,esk6_2(X8,X9),esk6_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| ~ apply(X9,esk6_2(X8,X9),esk6_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk11_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| ~ apply(X9,esk6_2(X8,X9),esk6_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| ~ apply(X9,esk6_2(X8,X9),esk6_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk10_2(X8,X9),esk11_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| ~ apply(X9,esk6_2(X8,X9),esk6_2(X8,X9))
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk9_2(X8,X9),esk11_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| ~ apply(X9,esk6_2(X8,X9),esk6_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| member(esk8_2(X8,X9),X8)
| ~ apply(X9,esk6_2(X8,X9),esk6_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| member(esk8_2(X8,X9),X8)
| ~ apply(X9,esk6_2(X8,X9),esk6_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk11_2(X8,X9),X8)
| member(esk8_2(X8,X9),X8)
| ~ apply(X9,esk6_2(X8,X9),esk6_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| member(esk8_2(X8,X9),X8)
| ~ apply(X9,esk6_2(X8,X9),esk6_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk10_2(X8,X9),esk11_2(X8,X9))
| member(esk8_2(X8,X9),X8)
| ~ apply(X9,esk6_2(X8,X9),esk6_2(X8,X9))
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk9_2(X8,X9),esk11_2(X8,X9))
| member(esk8_2(X8,X9),X8)
| ~ apply(X9,esk6_2(X8,X9),esk6_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| apply(X9,esk7_2(X8,X9),esk8_2(X8,X9))
| ~ apply(X9,esk6_2(X8,X9),esk6_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| apply(X9,esk7_2(X8,X9),esk8_2(X8,X9))
| ~ apply(X9,esk6_2(X8,X9),esk6_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk11_2(X8,X9),X8)
| apply(X9,esk7_2(X8,X9),esk8_2(X8,X9))
| ~ apply(X9,esk6_2(X8,X9),esk6_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| apply(X9,esk7_2(X8,X9),esk8_2(X8,X9))
| ~ apply(X9,esk6_2(X8,X9),esk6_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk10_2(X8,X9),esk11_2(X8,X9))
| apply(X9,esk7_2(X8,X9),esk8_2(X8,X9))
| ~ apply(X9,esk6_2(X8,X9),esk6_2(X8,X9))
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk9_2(X8,X9),esk11_2(X8,X9))
| apply(X9,esk7_2(X8,X9),esk8_2(X8,X9))
| ~ apply(X9,esk6_2(X8,X9),esk6_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| ~ apply(X9,esk8_2(X8,X9),esk7_2(X8,X9))
| ~ apply(X9,esk6_2(X8,X9),esk6_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| ~ apply(X9,esk8_2(X8,X9),esk7_2(X8,X9))
| ~ apply(X9,esk6_2(X8,X9),esk6_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk11_2(X8,X9),X8)
| ~ apply(X9,esk8_2(X8,X9),esk7_2(X8,X9))
| ~ apply(X9,esk6_2(X8,X9),esk6_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| ~ apply(X9,esk8_2(X8,X9),esk7_2(X8,X9))
| ~ apply(X9,esk6_2(X8,X9),esk6_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk10_2(X8,X9),esk11_2(X8,X9))
| ~ apply(X9,esk8_2(X8,X9),esk7_2(X8,X9))
| ~ apply(X9,esk6_2(X8,X9),esk6_2(X8,X9))
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk9_2(X8,X9),esk11_2(X8,X9))
| ~ apply(X9,esk8_2(X8,X9),esk7_2(X8,X9))
| ~ apply(X9,esk6_2(X8,X9),esk6_2(X8,X9))
| epred1_2(X9,X8) ) ),
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_5])])])])])])]) ).
cnf(c_0_11,plain,
( epred1_2(X1,X2)
| ~ equivalence(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
equivalence(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( apply(X1,X3,X3)
| ~ epred1_2(X1,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,negated_conjecture,
epred1_2(esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
fof(c_0_15,plain,
! [X8,X9,X10,X11,X8,X9,X10,X11] :
( ( member(X11,X9)
| ~ member(X11,equivalence_class(X10,X9,X8)) )
& ( apply(X8,X10,X11)
| ~ member(X11,equivalence_class(X10,X9,X8)) )
& ( ~ member(X11,X9)
| ~ apply(X8,X10,X11)
| member(X11,equivalence_class(X10,X9,X8)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[equivalence_class])])])])]) ).
cnf(c_0_16,plain,
( apply(esk2_0,X1,X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
member(esk4_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_18,plain,
( member(X1,equivalence_class(X2,X3,X4))
| ~ apply(X4,X2,X1)
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,negated_conjecture,
apply(esk2_0,esk4_0,esk4_0),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
fof(c_0_20,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ subset(X4,X5)
| ~ member(X6,X4)
| member(X6,X5) )
& ( member(esk5_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ member(esk5_2(X4,X5),X5)
| subset(X4,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)],[subset])])])])])])]) ).
cnf(c_0_21,negated_conjecture,
( member(esk4_0,equivalence_class(esk4_0,X1,esk2_0))
| ~ member(esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
fof(c_0_22,plain,
! [X3,X4,X3,X4] :
( ( subset(X3,X4)
| ~ equal_set(X3,X4) )
& ( subset(X4,X3)
| ~ equal_set(X3,X4) )
& ( ~ subset(X3,X4)
| ~ subset(X4,X3)
| equal_set(X3,X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[equal_set])])])])]) ).
cnf(c_0_23,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_24,negated_conjecture,
member(esk4_0,equivalence_class(esk4_0,esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_21,c_0_17]) ).
cnf(c_0_25,plain,
( subset(X2,X1)
| ~ equal_set(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( apply(esk2_0,esk3_0,esk4_0)
| equal_set(equivalence_class(esk3_0,esk1_0,esk2_0),equivalence_class(esk4_0,esk1_0,esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_27,plain,
( apply(X4,X2,X1)
| ~ member(X1,equivalence_class(X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_28,plain,
( subset(X1,X2)
| member(esk5_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,negated_conjecture,
( member(esk4_0,X1)
| ~ subset(equivalence_class(esk4_0,esk1_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,negated_conjecture,
( apply(esk2_0,esk3_0,esk4_0)
| subset(equivalence_class(esk4_0,esk1_0,esk2_0),equivalence_class(esk3_0,esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
( apply(X1,X3,X4)
| ~ epred1_2(X1,X2)
| ~ apply(X1,X5,X4)
| ~ apply(X1,X3,X5)
| ~ member(X4,X2)
| ~ member(X5,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_32,plain,
( apply(X1,X2,esk5_2(equivalence_class(X2,X3,X1),X4))
| subset(equivalence_class(X2,X3,X1),X4) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,plain,
( member(X1,X3)
| ~ member(X1,equivalence_class(X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_34,plain,
( apply(X1,X3,X4)
| ~ epred1_2(X1,X2)
| ~ apply(X1,X4,X3)
| ~ member(X3,X2)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_35,negated_conjecture,
apply(esk2_0,esk3_0,esk4_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_27]) ).
cnf(c_0_36,plain,
( apply(X1,X2,esk5_2(equivalence_class(X3,X4,X1),X5))
| subset(equivalence_class(X3,X4,X1),X5)
| ~ epred1_2(X1,X6)
| ~ apply(X1,X2,X3)
| ~ member(esk5_2(equivalence_class(X3,X4,X1),X5),X6)
| ~ member(X3,X6)
| ~ member(X2,X6) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,plain,
( member(esk5_2(equivalence_class(X1,X2,X3),X4),X2)
| subset(equivalence_class(X1,X2,X3),X4) ),
inference(spm,[status(thm)],[c_0_33,c_0_28]) ).
cnf(c_0_38,plain,
( apply(esk2_0,esk4_0,esk3_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk3_0,X1)
| ~ member(esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,negated_conjecture,
member(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_40,plain,
( apply(X1,X2,esk5_2(equivalence_class(X3,X4,X1),X5))
| subset(equivalence_class(X3,X4,X1),X5)
| ~ epred1_2(X1,X4)
| ~ apply(X1,X2,X3)
| ~ member(X3,X4)
| ~ member(X2,X4) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,negated_conjecture,
apply(esk2_0,esk4_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_14]),c_0_39]),c_0_17])]) ).
cnf(c_0_42,negated_conjecture,
( apply(esk2_0,esk3_0,esk5_2(equivalence_class(esk4_0,X1,esk2_0),X2))
| subset(equivalence_class(esk4_0,X1,esk2_0),X2)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk4_0,X1)
| ~ member(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_35]) ).
cnf(c_0_43,negated_conjecture,
( apply(esk2_0,esk4_0,esk5_2(equivalence_class(esk3_0,X1,esk2_0),X2))
| subset(equivalence_class(esk3_0,X1,esk2_0),X2)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk3_0,X1)
| ~ member(esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_44,negated_conjecture,
( apply(esk2_0,esk3_0,esk5_2(equivalence_class(esk4_0,esk1_0,esk2_0),X1))
| subset(equivalence_class(esk4_0,esk1_0,esk2_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_14]),c_0_17]),c_0_39])]) ).
cnf(c_0_45,negated_conjecture,
( apply(esk2_0,esk4_0,esk5_2(equivalence_class(esk3_0,esk1_0,esk2_0),X1))
| subset(equivalence_class(esk3_0,esk1_0,esk2_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_14]),c_0_39]),c_0_17])]) ).
cnf(c_0_46,negated_conjecture,
( member(esk5_2(equivalence_class(esk4_0,esk1_0,esk2_0),X1),equivalence_class(esk3_0,X2,esk2_0))
| subset(equivalence_class(esk4_0,esk1_0,esk2_0),X1)
| ~ member(esk5_2(equivalence_class(esk4_0,esk1_0,esk2_0),X1),X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_44]) ).
cnf(c_0_47,negated_conjecture,
( member(esk5_2(equivalence_class(esk3_0,esk1_0,esk2_0),X1),equivalence_class(esk4_0,X2,esk2_0))
| subset(equivalence_class(esk3_0,esk1_0,esk2_0),X1)
| ~ member(esk5_2(equivalence_class(esk3_0,esk1_0,esk2_0),X1),X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_45]) ).
cnf(c_0_48,plain,
( subset(X1,X2)
| ~ member(esk5_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_49,negated_conjecture,
( member(esk5_2(equivalence_class(esk4_0,esk1_0,esk2_0),X1),equivalence_class(esk3_0,esk1_0,esk2_0))
| subset(equivalence_class(esk4_0,esk1_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_37]) ).
cnf(c_0_50,negated_conjecture,
( member(esk5_2(equivalence_class(esk3_0,esk1_0,esk2_0),X1),equivalence_class(esk4_0,esk1_0,esk2_0))
| subset(equivalence_class(esk3_0,esk1_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_37]) ).
cnf(c_0_51,negated_conjecture,
( ~ apply(esk2_0,esk3_0,esk4_0)
| ~ equal_set(equivalence_class(esk3_0,esk1_0,esk2_0),equivalence_class(esk4_0,esk1_0,esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_52,plain,
( equal_set(X1,X2)
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_53,negated_conjecture,
subset(equivalence_class(esk4_0,esk1_0,esk2_0),equivalence_class(esk3_0,esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_54,negated_conjecture,
subset(equivalence_class(esk3_0,esk1_0,esk2_0),equivalence_class(esk4_0,esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_48,c_0_50]) ).
cnf(c_0_55,negated_conjecture,
~ equal_set(equivalence_class(esk3_0,esk1_0,esk2_0),equivalence_class(esk4_0,esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_35])]) ).
cnf(c_0_56,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54])]),c_0_55]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET768+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 01:21:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.22/1.42 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.22/1.42 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.22/1.42 # Preprocessing time : 0.017 s
% 0.22/1.42
% 0.22/1.42 # Proof found!
% 0.22/1.42 # SZS status Theorem
% 0.22/1.42 # SZS output start CNFRefutation
% See solution above
% 0.22/1.42 # Proof object total steps : 57
% 0.22/1.42 # Proof object clause steps : 43
% 0.22/1.42 # Proof object formula steps : 14
% 0.22/1.42 # Proof object conjectures : 28
% 0.22/1.42 # Proof object clause conjectures : 25
% 0.22/1.42 # Proof object formula conjectures : 3
% 0.22/1.42 # Proof object initial clauses used : 17
% 0.22/1.42 # Proof object initial formulas used : 5
% 0.22/1.42 # Proof object generating inferences : 25
% 0.22/1.42 # Proof object simplifying inferences : 15
% 0.22/1.42 # Training examples: 0 positive, 0 negative
% 0.22/1.42 # Parsed axioms : 17
% 0.22/1.42 # Removed by relevancy pruning/SinE : 12
% 0.22/1.42 # Initial clauses : 67
% 0.22/1.42 # Removed in clause preprocessing : 0
% 0.22/1.42 # Initial clauses in saturation : 67
% 0.22/1.42 # Processed clauses : 3796
% 0.22/1.42 # ...of these trivial : 0
% 0.22/1.42 # ...subsumed : 369
% 0.22/1.42 # ...remaining for further processing : 3427
% 0.22/1.42 # Other redundant clauses eliminated : 0
% 0.22/1.42 # Clauses deleted for lack of memory : 0
% 0.22/1.42 # Backward-subsumed : 2
% 0.22/1.42 # Backward-rewritten : 7
% 0.22/1.42 # Generated clauses : 25290
% 0.22/1.42 # ...of the previous two non-trivial : 12516
% 0.22/1.42 # Contextual simplify-reflections : 214
% 0.22/1.42 # Paramodulations : 25290
% 0.22/1.42 # Factorizations : 0
% 0.22/1.42 # Equation resolutions : 0
% 0.22/1.42 # Current number of processed clauses : 3418
% 0.22/1.42 # Positive orientable unit clauses : 2165
% 0.22/1.42 # Positive unorientable unit clauses: 0
% 0.22/1.42 # Negative unit clauses : 1
% 0.22/1.42 # Non-unit-clauses : 1252
% 0.22/1.42 # Current number of unprocessed clauses: 8773
% 0.22/1.42 # ...number of literals in the above : 18796
% 0.22/1.42 # Current number of archived formulas : 0
% 0.22/1.42 # Current number of archived clauses : 9
% 0.22/1.42 # Clause-clause subsumption calls (NU) : 227292
% 0.22/1.42 # Rec. Clause-clause subsumption calls : 195831
% 0.22/1.42 # Non-unit clause-clause subsumptions : 585
% 0.22/1.42 # Unit Clause-clause subsumption calls : 514
% 0.22/1.42 # Rewrite failures with RHS unbound : 0
% 0.22/1.42 # BW rewrite match attempts : 836343
% 0.22/1.42 # BW rewrite match successes : 3
% 0.22/1.42 # Condensation attempts : 0
% 0.22/1.42 # Condensation successes : 0
% 0.22/1.42 # Termbank termtop insertions : 1664308
% 0.22/1.42
% 0.22/1.42 # -------------------------------------------------
% 0.22/1.42 # User time : 0.779 s
% 0.22/1.42 # System time : 0.034 s
% 0.22/1.42 # Total time : 0.813 s
% 0.22/1.42 # Maximum resident set size: 44556 pages
% 0.22/23.41 eprover: CPU time limit exceeded, terminating
% 0.22/23.41 eprover: CPU time limit exceeded, terminating
% 0.22/23.42 eprover: CPU time limit exceeded, terminating
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.48 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.48 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------