TSTP Solution File: RNG045+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : RNG045+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n019.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 20:26:42 EDT 2022
% Result : Theorem 0.25s 1.42s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 13 unt; 0 def)
% Number of atoms : 34 ( 13 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 31 ( 14 ~; 9 |; 7 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(m__733,hypothesis,
sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__733) ).
fof(mDistr,axiom,
! [X1,X2,X3] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDistr) ).
fof(m__674,hypothesis,
( aScalar0(xx)
& aScalar0(xy)
& aScalar0(xu)
& aScalar0(xv) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__674) ).
fof(c_0_4,negated_conjecture,
sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_5,negated_conjecture,
sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
cnf(c_0_6,negated_conjecture,
sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_7,hypothesis,
sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv))),
inference(split_conjunct,[status(thm)],[m__733]) ).
fof(c_0_8,plain,
! [X4,X5,X6] :
( ( sdtasdt0(X4,sdtpldt0(X5,X6)) = sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
| ~ aScalar0(X4)
| ~ aScalar0(X5)
| ~ aScalar0(X6) )
& ( sdtasdt0(sdtpldt0(X4,X5),X6) = sdtpldt0(sdtasdt0(X4,X6),sdtasdt0(X5,X6))
| ~ aScalar0(X4)
| ~ aScalar0(X5)
| ~ aScalar0(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDistr])])]) ).
cnf(c_0_9,negated_conjecture,
sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv))) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
inference(rw,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,plain,
( sdtasdt0(X3,sdtpldt0(X2,X1)) = sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,hypothesis,
aScalar0(xy),
inference(split_conjunct,[status(thm)],[m__674]) ).
cnf(c_0_12,hypothesis,
aScalar0(xu),
inference(split_conjunct,[status(thm)],[m__674]) ).
cnf(c_0_13,hypothesis,
aScalar0(xv),
inference(split_conjunct,[status(thm)],[m__674]) ).
cnf(c_0_14,negated_conjecture,
sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12]),c_0_13])]) ).
cnf(c_0_15,hypothesis,
aScalar0(xx),
inference(split_conjunct,[status(thm)],[m__674]) ).
cnf(c_0_16,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_10]),c_0_15]),c_0_12]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : RNG045+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : run_ET %s %d
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon May 30 08:11:10 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.25/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.42 # Preprocessing time : 0.014 s
% 0.25/1.42
% 0.25/1.42 # Proof found!
% 0.25/1.42 # SZS status Theorem
% 0.25/1.42 # SZS output start CNFRefutation
% See solution above
% 0.25/1.42 # Proof object total steps : 17
% 0.25/1.42 # Proof object clause steps : 10
% 0.25/1.42 # Proof object formula steps : 7
% 0.25/1.42 # Proof object conjectures : 7
% 0.25/1.42 # Proof object clause conjectures : 4
% 0.25/1.42 # Proof object formula conjectures : 3
% 0.25/1.42 # Proof object initial clauses used : 7
% 0.25/1.42 # Proof object initial formulas used : 4
% 0.25/1.42 # Proof object generating inferences : 2
% 0.25/1.42 # Proof object simplifying inferences : 9
% 0.25/1.42 # Training examples: 0 positive, 0 negative
% 0.25/1.42 # Parsed axioms : 18
% 0.25/1.42 # Removed by relevancy pruning/SinE : 10
% 0.25/1.42 # Initial clauses : 15
% 0.25/1.42 # Removed in clause preprocessing : 1
% 0.25/1.42 # Initial clauses in saturation : 14
% 0.25/1.42 # Processed clauses : 16
% 0.25/1.42 # ...of these trivial : 0
% 0.25/1.42 # ...subsumed : 0
% 0.25/1.42 # ...remaining for further processing : 16
% 0.25/1.42 # Other redundant clauses eliminated : 0
% 0.25/1.42 # Clauses deleted for lack of memory : 0
% 0.25/1.42 # Backward-subsumed : 0
% 0.25/1.42 # Backward-rewritten : 1
% 0.25/1.42 # Generated clauses : 30
% 0.25/1.42 # ...of the previous two non-trivial : 30
% 0.25/1.42 # Contextual simplify-reflections : 0
% 0.25/1.42 # Paramodulations : 30
% 0.25/1.42 # Factorizations : 0
% 0.25/1.42 # Equation resolutions : 0
% 0.25/1.42 # Current number of processed clauses : 15
% 0.25/1.42 # Positive orientable unit clauses : 5
% 0.25/1.42 # Positive unorientable unit clauses: 0
% 0.25/1.42 # Negative unit clauses : 2
% 0.25/1.42 # Non-unit-clauses : 8
% 0.25/1.42 # Current number of unprocessed clauses: 28
% 0.25/1.42 # ...number of literals in the above : 124
% 0.25/1.42 # Current number of archived formulas : 0
% 0.25/1.42 # Current number of archived clauses : 1
% 0.25/1.42 # Clause-clause subsumption calls (NU) : 32
% 0.25/1.42 # Rec. Clause-clause subsumption calls : 24
% 0.25/1.42 # Non-unit clause-clause subsumptions : 0
% 0.25/1.42 # Unit Clause-clause subsumption calls : 0
% 0.25/1.42 # Rewrite failures with RHS unbound : 0
% 0.25/1.42 # BW rewrite match attempts : 1
% 0.25/1.42 # BW rewrite match successes : 1
% 0.25/1.42 # Condensation attempts : 0
% 0.25/1.42 # Condensation successes : 0
% 0.25/1.42 # Termbank termtop insertions : 1558
% 0.25/1.42
% 0.25/1.42 # -------------------------------------------------
% 0.25/1.42 # User time : 0.014 s
% 0.25/1.42 # System time : 0.002 s
% 0.25/1.42 # Total time : 0.016 s
% 0.25/1.42 # Maximum resident set size: 2792 pages
% 0.25/23.42 eprover: CPU time limit exceeded, terminating
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------