%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM539+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n004.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 09:33:34 EDT 2022
% Result : Theorem 0.24s 1.41s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 8 unt; 0 def)
% Number of atoms : 138 ( 30 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 164 ( 56 ~; 50 |; 42 &)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 44 ( 3 sgn 28 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefMin,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& X1 != slcrc0 )
=> ! [X2] :
( X2 = szmzizndt0(X1)
<=> ( aElementOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefMin) ).
fof(mDefEmp,axiom,
! [X1] :
( X1 = slcrc0
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefEmp) ).
fof(m__1802,hypothesis,
( aElementOf0(szmzizndt0(xS),xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(szmzizndt0(xS),X1) )
& aElementOf0(szmzizndt0(xS),xT)
& aElementOf0(szmzizndt0(xT),xT)
& ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(szmzizndt0(xT),X1) )
& aElementOf0(szmzizndt0(xT),xS) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1802) ).
fof(m__1779,hypothesis,
( aSet0(xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& aSet0(xT)
& ! [X1] :
( aElementOf0(X1,xT)
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(xT,szNzAzT0)
& ~ ( ~ ? [X1] : aElementOf0(X1,xS)
| xS = slcrc0 )
& ~ ( ~ ? [X1] : aElementOf0(X1,xT)
| xT = slcrc0 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1779) ).
fof(m__,conjecture,
( ( aElementOf0(szmzizndt0(xS),xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(szmzizndt0(xS),X1) ) )
=> ( ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(szmzizndt0(xS),X1) )
| szmzizndt0(xS) = szmzizndt0(xT) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(mLessASymm,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mLessASymm) ).
fof(c_0_6,plain,
! [X4,X5,X6,X5] :
( ( aElementOf0(X5,X4)
| X5 != szmzizndt0(X4)
| ~ aSubsetOf0(X4,szNzAzT0)
| X4 = slcrc0 )
& ( ~ aElementOf0(X6,X4)
| sdtlseqdt0(X5,X6)
| X5 != szmzizndt0(X4)
| ~ aSubsetOf0(X4,szNzAzT0)
| X4 = slcrc0 )
& ( aElementOf0(esk6_2(X4,X5),X4)
| ~ aElementOf0(X5,X4)
| X5 = szmzizndt0(X4)
| ~ aSubsetOf0(X4,szNzAzT0)
| X4 = slcrc0 )
& ( ~ sdtlseqdt0(X5,esk6_2(X4,X5))
| ~ aElementOf0(X5,X4)
| X5 = szmzizndt0(X4)
| ~ aSubsetOf0(X4,szNzAzT0)
| X4 = slcrc0 ) ),
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)],[mDefMin])])])])])])]) ).
fof(c_0_7,plain,
! [X3,X4,X3] :
( ( aSet0(X3)
| X3 != slcrc0 )
& ( ~ aElementOf0(X4,X3)
| X3 != slcrc0 )
& ( ~ aSet0(X3)
| aElementOf0(esk4_1(X3),X3)
| X3 = slcrc0 ) ),
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)],[mDefEmp])])])])])])]) ).
cnf(c_0_8,plain,
( X1 = slcrc0
| sdtlseqdt0(X2,X3)
| ~ aSubsetOf0(X1,szNzAzT0)
| X2 != szmzizndt0(X1)
| ~ aElementOf0(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( X1 != slcrc0
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,hypothesis,
! [X2,X3] :
( aElementOf0(szmzizndt0(xS),xS)
& ( ~ aElementOf0(X2,xS)
| sdtlseqdt0(szmzizndt0(xS),X2) )
& aElementOf0(szmzizndt0(xS),xT)
& aElementOf0(szmzizndt0(xT),xT)
& ( ~ aElementOf0(X3,xT)
| sdtlseqdt0(szmzizndt0(xT),X3) )
& aElementOf0(szmzizndt0(xT),xS) ),
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)],[m__1802])])])])]) ).
fof(c_0_11,hypothesis,
! [X2,X3] :
( aSet0(xS)
& ( ~ aElementOf0(X2,xS)
| aElementOf0(X2,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& aSet0(xT)
& ( ~ aElementOf0(X3,xT)
| aElementOf0(X3,szNzAzT0) )
& aSubsetOf0(xT,szNzAzT0)
& aElementOf0(esk1_0,xS)
& xS != slcrc0
& aElementOf0(esk2_0,xT)
& xT != slcrc0 ),
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)],[m__1779])])])])])]) ).
cnf(c_0_12,plain,
( sdtlseqdt0(X1,X2)
| X1 != szmzizndt0(X3)
| ~ aSubsetOf0(X3,szNzAzT0)
| ~ aElementOf0(X2,X3) ),
inference(csr,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,hypothesis,
aElementOf0(szmzizndt0(xT),xS),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,hypothesis,
aSubsetOf0(xS,szNzAzT0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_15,negated_conjecture,
~ ( ( aElementOf0(szmzizndt0(xS),xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(szmzizndt0(xS),X1) ) )
=> ( ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(szmzizndt0(xS),X1) )
| szmzizndt0(xS) = szmzizndt0(xT) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_16,plain,
! [X3,X4] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(X4,X3)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])]) ).
cnf(c_0_17,hypothesis,
( sdtlseqdt0(X1,szmzizndt0(xT))
| X1 != szmzizndt0(xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
fof(c_0_18,negated_conjecture,
! [X2] :
( aElementOf0(szmzizndt0(xS),xS)
& ( ~ aElementOf0(X2,xS)
| sdtlseqdt0(szmzizndt0(xS),X2) )
& aElementOf0(esk3_0,xT)
& ~ sdtlseqdt0(szmzizndt0(xS),esk3_0)
& szmzizndt0(xS) != szmzizndt0(xT) ),
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_15])])])])])]) ).
cnf(c_0_19,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,hypothesis,
sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT)),
inference(er,[status(thm)],[c_0_17]) ).
cnf(c_0_21,negated_conjecture,
szmzizndt0(xS) != szmzizndt0(xT),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,hypothesis,
( ~ sdtlseqdt0(szmzizndt0(xT),szmzizndt0(xS))
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0)
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_23,hypothesis,
( sdtlseqdt0(szmzizndt0(xT),X1)
| ~ aElementOf0(X1,xT) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_24,hypothesis,
aElementOf0(szmzizndt0(xS),xT),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_25,hypothesis,
( ~ aElementOf0(szmzizndt0(xS),szNzAzT0)
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).
cnf(c_0_26,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_27,hypothesis,
aElementOf0(szmzizndt0(xS),xS),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_28,hypothesis,
~ aElementOf0(szmzizndt0(xT),szNzAzT0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).
cnf(c_0_29,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_26]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM539+2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : run_ET %s %d
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jul 6 15:13:22 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.24/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.41 # Preprocessing time : 0.020 s
% 0.24/1.41
% 0.24/1.41 # Proof found!
% 0.24/1.41 # SZS status Theorem
% 0.24/1.41 # SZS output start CNFRefutation
% See solution above
% 0.24/1.41 # Proof object total steps : 30
% 0.24/1.41 # Proof object clause steps : 17
% 0.24/1.41 # Proof object formula steps : 13
% 0.24/1.41 # Proof object conjectures : 4
% 0.24/1.41 # Proof object clause conjectures : 1
% 0.24/1.41 # Proof object formula conjectures : 3
% 0.24/1.41 # Proof object initial clauses used : 10
% 0.24/1.41 # Proof object initial formulas used : 6
% 0.24/1.41 # Proof object generating inferences : 6
% 0.24/1.41 # Proof object simplifying inferences : 10
% 0.24/1.41 # Training examples: 0 positive, 0 negative
% 0.24/1.41 # Parsed axioms : 51
% 0.24/1.41 # Removed by relevancy pruning/SinE : 3
% 0.24/1.41 # Initial clauses : 97
% 0.24/1.41 # Removed in clause preprocessing : 5
% 0.24/1.41 # Initial clauses in saturation : 92
% 0.24/1.41 # Processed clauses : 151
% 0.24/1.41 # ...of these trivial : 3
% 0.24/1.41 # ...subsumed : 23
% 0.24/1.41 # ...remaining for further processing : 125
% 0.24/1.41 # Other redundant clauses eliminated : 10
% 0.24/1.41 # Clauses deleted for lack of memory : 0
% 0.24/1.41 # Backward-subsumed : 2
% 0.24/1.41 # Backward-rewritten : 0
% 0.24/1.41 # Generated clauses : 272
% 0.24/1.41 # ...of the previous two non-trivial : 238
% 0.24/1.41 # Contextual simplify-reflections : 17
% 0.24/1.41 # Paramodulations : 248
% 0.24/1.41 # Factorizations : 0
% 0.24/1.41 # Equation resolutions : 24
% 0.24/1.41 # Current number of processed clauses : 121
% 0.24/1.41 # Positive orientable unit clauses : 25
% 0.24/1.41 # Positive unorientable unit clauses: 0
% 0.24/1.41 # Negative unit clauses : 8
% 0.24/1.41 # Non-unit-clauses : 88
% 0.24/1.41 # Current number of unprocessed clauses: 178
% 0.24/1.41 # ...number of literals in the above : 886
% 0.24/1.41 # Current number of archived formulas : 0
% 0.24/1.41 # Current number of archived clauses : 2
% 0.24/1.41 # Clause-clause subsumption calls (NU) : 1848
% 0.24/1.41 # Rec. Clause-clause subsumption calls : 476
% 0.24/1.41 # Non-unit clause-clause subsumptions : 23
% 0.24/1.41 # Unit Clause-clause subsumption calls : 121
% 0.24/1.41 # Rewrite failures with RHS unbound : 0
% 0.24/1.41 # BW rewrite match attempts : 0
% 0.24/1.41 # BW rewrite match successes : 0
% 0.24/1.41 # Condensation attempts : 0
% 0.24/1.41 # Condensation successes : 0
% 0.24/1.41 # Termbank termtop insertions : 9954
% 0.24/1.41
% 0.24/1.41 # -------------------------------------------------
% 0.24/1.41 # User time : 0.030 s
% 0.24/1.41 # System time : 0.002 s
% 0.24/1.41 # Total time : 0.032 s
% 0.24/1.41 # Maximum resident set size: 3460 pages
%------------------------------------------------------------------------------