TSTP Solution File: RNG095+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : RNG095+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n029.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 20:26:53 EDT 2022
% Result : Theorem 0.23s 1.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% Number of atoms : 36 ( 8 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 39 ( 16 ~; 12 |; 10 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 4 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
? [X1,X2] :
( aElementOf0(X1,xI)
& aElementOf0(X2,xJ)
& sdtpldt0(X1,X2) = sz10 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(m__1205_03,hypothesis,
! [X1] :
( aElement0(X1)
=> ( ? [X2,X3] :
( aElementOf0(X2,xI)
& aElementOf0(X3,xJ)
& sdtpldt0(X2,X3) = X1 )
& aElementOf0(X1,sdtpldt1(xI,xJ)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1205_03) ).
fof(mSortsC_01,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSortsC_01) ).
fof(c_0_3,negated_conjecture,
~ ? [X1,X2] :
( aElementOf0(X1,xI)
& aElementOf0(X2,xJ)
& sdtpldt0(X1,X2) = sz10 ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_4,negated_conjecture,
! [X3,X4] :
( ~ aElementOf0(X3,xI)
| ~ aElementOf0(X4,xJ)
| sdtpldt0(X3,X4) != sz10 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).
fof(c_0_5,hypothesis,
! [X4] :
( ( aElementOf0(esk1_1(X4),xI)
| ~ aElement0(X4) )
& ( aElementOf0(esk2_1(X4),xJ)
| ~ aElement0(X4) )
& ( sdtpldt0(esk1_1(X4),esk2_1(X4)) = X4
| ~ aElement0(X4) )
& ( aElementOf0(X4,sdtpldt1(xI,xJ))
| ~ aElement0(X4) ) ),
inference(distribute,[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__1205_03])])])])])]) ).
cnf(c_0_6,negated_conjecture,
( sdtpldt0(X1,X2) != sz10
| ~ aElementOf0(X2,xJ)
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,hypothesis,
( sdtpldt0(esk1_1(X1),esk2_1(X1)) = X1
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,hypothesis,
( aElementOf0(esk1_1(X1),xI)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,hypothesis,
( aElementOf0(esk2_1(X1),xJ)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
( X1 != sz10
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),c_0_9]) ).
cnf(c_0_11,plain,
aElement0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_10,c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : RNG095+2 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n029.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 : Mon May 30 11:50:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.23/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.42 # Preprocessing time : 0.018 s
% 0.23/1.42
% 0.23/1.42 # Proof found!
% 0.23/1.42 # SZS status Theorem
% 0.23/1.42 # SZS output start CNFRefutation
% See solution above
% 0.23/1.42 # Proof object total steps : 13
% 0.23/1.42 # Proof object clause steps : 7
% 0.23/1.42 # Proof object formula steps : 6
% 0.23/1.42 # Proof object conjectures : 6
% 0.23/1.42 # Proof object clause conjectures : 3
% 0.23/1.42 # Proof object formula conjectures : 3
% 0.23/1.42 # Proof object initial clauses used : 5
% 0.23/1.42 # Proof object initial formulas used : 3
% 0.23/1.42 # Proof object generating inferences : 2
% 0.23/1.42 # Proof object simplifying inferences : 2
% 0.23/1.42 # Training examples: 0 positive, 0 negative
% 0.23/1.42 # Parsed axioms : 31
% 0.23/1.42 # Removed by relevancy pruning/SinE : 3
% 0.23/1.42 # Initial clauses : 63
% 0.23/1.42 # Removed in clause preprocessing : 2
% 0.23/1.42 # Initial clauses in saturation : 61
% 0.23/1.42 # Processed clauses : 265
% 0.23/1.42 # ...of these trivial : 6
% 0.23/1.42 # ...subsumed : 106
% 0.23/1.42 # ...remaining for further processing : 153
% 0.23/1.42 # Other redundant clauses eliminated : 0
% 0.23/1.42 # Clauses deleted for lack of memory : 0
% 0.23/1.42 # Backward-subsumed : 20
% 0.23/1.42 # Backward-rewritten : 13
% 0.23/1.42 # Generated clauses : 639
% 0.23/1.42 # ...of the previous two non-trivial : 521
% 0.23/1.42 # Contextual simplify-reflections : 48
% 0.23/1.42 # Paramodulations : 637
% 0.23/1.42 # Factorizations : 0
% 0.23/1.42 # Equation resolutions : 2
% 0.23/1.42 # Current number of processed clauses : 120
% 0.23/1.42 # Positive orientable unit clauses : 18
% 0.23/1.42 # Positive unorientable unit clauses: 0
% 0.23/1.42 # Negative unit clauses : 3
% 0.23/1.42 # Non-unit-clauses : 99
% 0.23/1.42 # Current number of unprocessed clauses: 247
% 0.23/1.42 # ...number of literals in the above : 1099
% 0.23/1.42 # Current number of archived formulas : 0
% 0.23/1.42 # Current number of archived clauses : 33
% 0.23/1.42 # Clause-clause subsumption calls (NU) : 2919
% 0.23/1.42 # Rec. Clause-clause subsumption calls : 1671
% 0.23/1.42 # Non-unit clause-clause subsumptions : 141
% 0.23/1.42 # Unit Clause-clause subsumption calls : 88
% 0.23/1.42 # Rewrite failures with RHS unbound : 0
% 0.23/1.42 # BW rewrite match attempts : 3
% 0.23/1.42 # BW rewrite match successes : 3
% 0.23/1.42 # Condensation attempts : 0
% 0.23/1.42 # Condensation successes : 0
% 0.23/1.42 # Termbank termtop insertions : 12450
% 0.23/1.42
% 0.23/1.42 # -------------------------------------------------
% 0.23/1.42 # User time : 0.035 s
% 0.23/1.42 # System time : 0.001 s
% 0.23/1.42 # Total time : 0.036 s
% 0.23/1.42 # Maximum resident set size: 3380 pages
%------------------------------------------------------------------------------