%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM536+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n008.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 : Mon Jul 18 09:33:31 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 10 unt; 0 def)
% Number of atoms : 262 ( 58 equ)
% Maximal formula atoms : 54 ( 7 avg)
% Number of connectives : 371 ( 146 ~; 165 |; 44 &)
% ( 8 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 71 ( 6 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefCons,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtpldt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& ( aElementOf0(X4,X1)
| X4 = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefCons) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mEOfElem) ).
fof(m__,conjecture,
( ( aSet0(sdtpldt0(xS,xx))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xS,xx))
<=> ( aElement0(X1)
& ( aElementOf0(X1,xS)
| X1 = xx ) ) ) )
=> ( ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( aElement0(X1)
& aElementOf0(X1,sdtpldt0(xS,xx))
& X1 != xx ) ) )
=> sdtmndt0(sdtpldt0(xS,xx),xx) = xS ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(mDefDiff,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtmndt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& aElementOf0(X4,X1)
& X4 != X2 ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefDiff) ).
fof(m__679,hypothesis,
( aElement0(xx)
& aSet0(xS) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__679) ).
fof(m__679_02,hypothesis,
~ aElementOf0(xx,xS),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__679_02) ).
fof(c_0_6,plain,
! [X5,X6,X7,X8,X8,X7] :
( ( aSet0(X7)
| X7 != sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(X8)
| ~ aElementOf0(X8,X7)
| X7 != sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(X8,X5)
| X8 = X6
| ~ aElementOf0(X8,X7)
| X7 != sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(X8,X5)
| ~ aElement0(X8)
| aElementOf0(X8,X7)
| X7 != sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( X8 != X6
| ~ aElement0(X8)
| aElementOf0(X8,X7)
| X7 != sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(esk2_3(X5,X6,X7),X5)
| ~ aElement0(esk2_3(X5,X6,X7))
| ~ aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( esk2_3(X5,X6,X7) != X6
| ~ aElement0(esk2_3(X5,X6,X7))
| ~ aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(esk2_3(X5,X6,X7))
| aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk2_3(X5,X6,X7),X5)
| esk2_3(X5,X6,X7) = X6
| aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) ) ),
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)],[mDefCons])])])])])])]) ).
fof(c_0_7,plain,
! [X3,X4] :
( ~ aSet0(X3)
| ~ aElementOf0(X4,X3)
| aElement0(X4) ),
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)],[mEOfElem])])])])]) ).
fof(c_0_8,negated_conjecture,
~ ( ( aSet0(sdtpldt0(xS,xx))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xS,xx))
<=> ( aElement0(X1)
& ( aElementOf0(X1,xS)
| X1 = xx ) ) ) )
=> ( ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( aElement0(X1)
& aElementOf0(X1,sdtpldt0(xS,xx))
& X1 != xx ) ) )
=> sdtmndt0(sdtpldt0(xS,xx),xx) = xS ) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_9,plain,
( aElementOf0(X4,X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,plain,
! [X5,X6,X7,X8,X8,X7] :
( ( aSet0(X7)
| X7 != sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(X8)
| ~ aElementOf0(X8,X7)
| X7 != sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(X8,X5)
| ~ aElementOf0(X8,X7)
| X7 != sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( X8 != X6
| ~ aElementOf0(X8,X7)
| X7 != sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElement0(X8)
| ~ aElementOf0(X8,X5)
| X8 = X6
| aElementOf0(X8,X7)
| X7 != sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(esk1_3(X5,X6,X7),X7)
| ~ aElement0(esk1_3(X5,X6,X7))
| ~ aElementOf0(esk1_3(X5,X6,X7),X5)
| esk1_3(X5,X6,X7) = X6
| ~ aSet0(X7)
| X7 = sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(esk1_3(X5,X6,X7))
| aElementOf0(esk1_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk1_3(X5,X6,X7),X5)
| aElementOf0(esk1_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( esk1_3(X5,X6,X7) != X6
| aElementOf0(esk1_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) ) ),
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)],[mDefDiff])])])])])])]) ).
fof(c_0_12,negated_conjecture,
! [X2,X2,X3,X3] :
( aSet0(sdtpldt0(xS,xx))
& ( aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( aElementOf0(X2,xS)
| X2 = xx
| ~ aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(X2,xS)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( X2 != xx
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx)) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ( aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X3,sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X3 != xx
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| X3 = xx
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& sdtmndt0(sdtpldt0(xS,xx),xx) != xS ),
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)],[c_0_8])])])])])]) ).
cnf(c_0_13,plain,
( aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X4)
| ~ aElementOf0(X1,X3)
| ~ aElement0(X4)
| ~ aSet0(X3) ),
inference(csr,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
( X3 = sdtmndt0(X2,X1)
| aElementOf0(esk1_3(X2,X1,X3),X3)
| aElementOf0(esk1_3(X2,X1,X3),X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,hypothesis,
aElement0(xx),
inference(split_conjunct,[status(thm)],[m__679]) ).
cnf(c_0_16,negated_conjecture,
( aElement0(X1)
| ~ aElementOf0(X1,sdtpldt0(xS,xx)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( aElementOf0(X1,sdtpldt0(X2,X3))
| ~ aElementOf0(X1,X2)
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_13]) ).
cnf(c_0_18,hypothesis,
aSet0(xS),
inference(split_conjunct,[status(thm)],[m__679]) ).
cnf(c_0_19,hypothesis,
( X1 = sdtmndt0(X2,xx)
| aElementOf0(esk1_3(X2,xx,X1),X1)
| aElementOf0(esk1_3(X2,xx,X1),X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( aElementOf0(X1,sdtpldt0(xS,xx))
| ~ aElement0(X1)
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_21,negated_conjecture,
( aElement0(X1)
| ~ aElementOf0(X1,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_15]),c_0_18])]) ).
cnf(c_0_22,plain,
( X4 = X1
| aElementOf0(X4,X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_23,hypothesis,
( sdtmndt0(X1,xx) = xS
| aElementOf0(esk1_3(X1,xx,xS),xS)
| aElementOf0(esk1_3(X1,xx,xS),X1)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_18]) ).
cnf(c_0_24,negated_conjecture,
aSet0(sdtpldt0(xS,xx)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_25,negated_conjecture,
sdtmndt0(sdtpldt0(xS,xx),xx) != xS,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_26,negated_conjecture,
( aElementOf0(X1,sdtpldt0(xS,xx))
| ~ aElementOf0(X1,xS) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_27,plain,
( X3 = sdtmndt0(X2,X1)
| esk1_3(X2,X1,X3) = X1
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aElementOf0(esk1_3(X2,X1,X3),X2)
| ~ aElement0(esk1_3(X2,X1,X3))
| ~ aElementOf0(esk1_3(X2,X1,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_28,plain,
( X1 = X2
| aElementOf0(X2,X3)
| ~ aElementOf0(X2,sdtpldt0(X3,X1))
| ~ aElement0(X1)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_22]) ).
cnf(c_0_29,negated_conjecture,
aElementOf0(esk1_3(sdtpldt0(xS,xx),xx,xS),sdtpldt0(xS,xx)),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26]) ).
cnf(c_0_30,plain,
( esk1_3(X1,X2,X3) = X2
| X3 = sdtmndt0(X1,X2)
| ~ aElementOf0(esk1_3(X1,X2,X3),X3)
| ~ aElementOf0(esk1_3(X1,X2,X3),X1)
| ~ aElement0(X2)
| ~ aSet0(X3)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[c_0_27,c_0_10]) ).
cnf(c_0_31,negated_conjecture,
( esk1_3(sdtpldt0(xS,xx),xx,xS) = xx
| aElementOf0(esk1_3(sdtpldt0(xS,xx),xx,xS),xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_15]),c_0_18])]) ).
fof(c_0_32,hypothesis,
~ aElementOf0(xx,xS),
inference(fof_simplification,[status(thm)],[m__679_02]) ).
cnf(c_0_33,plain,
( X3 = sdtmndt0(X2,X1)
| aElementOf0(esk1_3(X2,X1,X3),X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| esk1_3(X2,X1,X3) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_34,negated_conjecture,
esk1_3(sdtpldt0(xS,xx),xx,xS) = xx,
inference(sr,[status(thm)],[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_30,c_0_31]),c_0_29]),c_0_15]),c_0_18]),c_0_24])]),c_0_25]) ).
cnf(c_0_35,hypothesis,
~ aElementOf0(xx,xS),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_36,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[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_15]),c_0_18]),c_0_24])]),c_0_25]),c_0_35]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM536+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 5 21:56:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41 # Preprocessing time : 0.016 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 37
% 0.23/1.41 # Proof object clause steps : 25
% 0.23/1.41 # Proof object formula steps : 12
% 0.23/1.41 # Proof object conjectures : 13
% 0.23/1.41 # Proof object clause conjectures : 10
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 13
% 0.23/1.41 # Proof object initial formulas used : 6
% 0.23/1.41 # Proof object generating inferences : 10
% 0.23/1.41 # Proof object simplifying inferences : 22
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 20
% 0.23/1.41 # Removed by relevancy pruning/SinE : 11
% 0.23/1.41 # Initial clauses : 36
% 0.23/1.41 # Removed in clause preprocessing : 2
% 0.23/1.41 # Initial clauses in saturation : 34
% 0.23/1.41 # Processed clauses : 100
% 0.23/1.41 # ...of these trivial : 6
% 0.23/1.41 # ...subsumed : 23
% 0.23/1.41 # ...remaining for further processing : 71
% 0.23/1.41 # Other redundant clauses eliminated : 7
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 2
% 0.23/1.41 # Backward-rewritten : 6
% 0.23/1.41 # Generated clauses : 184
% 0.23/1.41 # ...of the previous two non-trivial : 138
% 0.23/1.41 # Contextual simplify-reflections : 39
% 0.23/1.41 # Paramodulations : 167
% 0.23/1.41 # Factorizations : 0
% 0.23/1.41 # Equation resolutions : 17
% 0.23/1.41 # Current number of processed clauses : 61
% 0.23/1.41 # Positive orientable unit clauses : 7
% 0.23/1.41 # Positive unorientable unit clauses: 0
% 0.23/1.41 # Negative unit clauses : 2
% 0.23/1.41 # Non-unit-clauses : 52
% 0.23/1.41 # Current number of unprocessed clauses: 56
% 0.23/1.41 # ...number of literals in the above : 370
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 8
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 624
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 176
% 0.23/1.41 # Non-unit clause-clause subsumptions : 62
% 0.23/1.41 # Unit Clause-clause subsumption calls : 19
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 2
% 0.23/1.41 # BW rewrite match successes : 2
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 6160
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.026 s
% 0.23/1.41 # System time : 0.003 s
% 0.23/1.41 # Total time : 0.029 s
% 0.23/1.41 # Maximum resident set size: 3056 pages
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