TSTP Solution File: NUM555+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM555+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 09:33:45 EDT 2022
% Result : Theorem 0.21s 1.40s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 84 ( 17 equ)
% Maximal formula atoms : 52 ( 5 avg)
% Number of connectives : 119 ( 51 ~; 50 |; 15 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 17 ( 2 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefDiff) ).
fof(m__,conjecture,
~ aElementOf0(xx,sdtmndt0(xQ,xy)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(m__2323,hypothesis,
~ aElementOf0(xx,xQ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2323) ).
fof(m__2304,hypothesis,
( aElement0(xy)
& aElementOf0(xy,xQ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2304) ).
fof(m__2291,hypothesis,
( aSet0(xQ)
& isFinite0(xQ)
& sbrdtbr0(xQ) = xk ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2291) ).
fof(c_0_5,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(esk7_3(X5,X6,X7),X7)
| ~ aElement0(esk7_3(X5,X6,X7))
| ~ aElementOf0(esk7_3(X5,X6,X7),X5)
| esk7_3(X5,X6,X7) = X6
| ~ aSet0(X7)
| X7 = sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(esk7_3(X5,X6,X7))
| aElementOf0(esk7_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk7_3(X5,X6,X7),X5)
| aElementOf0(esk7_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( esk7_3(X5,X6,X7) != X6
| aElementOf0(esk7_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_6,negated_conjecture,
~ ~ aElementOf0(xx,sdtmndt0(xQ,xy)),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_7,plain,
( aElementOf0(X4,X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,negated_conjecture,
aElementOf0(xx,sdtmndt0(xQ,xy)),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_9,hypothesis,
~ aElementOf0(xx,xQ),
inference(fof_simplification,[status(thm)],[m__2323]) ).
cnf(c_0_10,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
aElementOf0(xx,sdtmndt0(xQ,xy)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,hypothesis,
aElement0(xy),
inference(split_conjunct,[status(thm)],[m__2304]) ).
cnf(c_0_13,hypothesis,
aSet0(xQ),
inference(split_conjunct,[status(thm)],[m__2291]) ).
cnf(c_0_14,hypothesis,
~ aElementOf0(xx,xQ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13])]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM555+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.31 % Computer : n003.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Wed Jul 6 01:20:26 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.21/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.21/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.21/1.40 # Preprocessing time : 0.013 s
% 0.21/1.40
% 0.21/1.40 # Proof found!
% 0.21/1.40 # SZS status Theorem
% 0.21/1.40 # SZS output start CNFRefutation
% See solution above
% 0.21/1.40 # Proof object total steps : 16
% 0.21/1.40 # Proof object clause steps : 7
% 0.21/1.40 # Proof object formula steps : 9
% 0.21/1.40 # Proof object conjectures : 5
% 0.21/1.40 # Proof object clause conjectures : 2
% 0.21/1.40 # Proof object formula conjectures : 3
% 0.21/1.40 # Proof object initial clauses used : 5
% 0.21/1.40 # Proof object initial formulas used : 5
% 0.21/1.40 # Proof object generating inferences : 2
% 0.21/1.40 # Proof object simplifying inferences : 4
% 0.21/1.40 # Training examples: 0 positive, 0 negative
% 0.21/1.40 # Parsed axioms : 71
% 0.21/1.40 # Removed by relevancy pruning/SinE : 5
% 0.21/1.40 # Initial clauses : 116
% 0.21/1.40 # Removed in clause preprocessing : 5
% 0.21/1.40 # Initial clauses in saturation : 111
% 0.21/1.40 # Processed clauses : 464
% 0.21/1.40 # ...of these trivial : 9
% 0.21/1.40 # ...subsumed : 157
% 0.21/1.40 # ...remaining for further processing : 298
% 0.21/1.40 # Other redundant clauses eliminated : 14
% 0.21/1.40 # Clauses deleted for lack of memory : 0
% 0.21/1.40 # Backward-subsumed : 16
% 0.21/1.40 # Backward-rewritten : 10
% 0.21/1.40 # Generated clauses : 993
% 0.21/1.40 # ...of the previous two non-trivial : 836
% 0.21/1.40 # Contextual simplify-reflections : 193
% 0.21/1.40 # Paramodulations : 953
% 0.21/1.40 # Factorizations : 0
% 0.21/1.40 # Equation resolutions : 40
% 0.21/1.40 # Current number of processed clauses : 269
% 0.21/1.40 # Positive orientable unit clauses : 32
% 0.21/1.40 # Positive unorientable unit clauses: 0
% 0.21/1.40 # Negative unit clauses : 12
% 0.21/1.40 # Non-unit-clauses : 225
% 0.21/1.40 # Current number of unprocessed clauses: 471
% 0.21/1.40 # ...number of literals in the above : 2732
% 0.21/1.40 # Current number of archived formulas : 0
% 0.21/1.40 # Current number of archived clauses : 26
% 0.21/1.40 # Clause-clause subsumption calls (NU) : 15377
% 0.21/1.40 # Rec. Clause-clause subsumption calls : 5461
% 0.21/1.40 # Non-unit clause-clause subsumptions : 298
% 0.21/1.40 # Unit Clause-clause subsumption calls : 1169
% 0.21/1.40 # Rewrite failures with RHS unbound : 0
% 0.21/1.40 # BW rewrite match attempts : 6
% 0.21/1.40 # BW rewrite match successes : 6
% 0.21/1.40 # Condensation attempts : 0
% 0.21/1.40 # Condensation successes : 0
% 0.21/1.40 # Termbank termtop insertions : 23192
% 0.21/1.40
% 0.21/1.40 # -------------------------------------------------
% 0.21/1.40 # User time : 0.033 s
% 0.21/1.40 # System time : 0.005 s
% 0.21/1.40 # Total time : 0.038 s
% 0.21/1.40 # Maximum resident set size: 4332 pages
%------------------------------------------------------------------------------