TSTP Solution File: RNG091+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : RNG091+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n024.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 20:26:52 EDT 2022
% Result : Theorem 0.23s 1.40s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 60 ( 17 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 75 ( 32 ~; 28 |; 15 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 4 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( ? [X1,X2] :
( aElementOf0(X1,xI)
& aElementOf0(X2,xJ)
& sdtpldt0(X1,X2) = sdtpldt0(xx,xy) )
| aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ)) )
& ( ? [X1,X2] :
( aElementOf0(X1,xI)
& aElementOf0(X2,xJ)
& sdtpldt0(X1,X2) = sdtasdt0(xz,xx) )
| aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(m__1098,hypothesis,
sdtasdt0(xz,xx) = sdtpldt0(sdtasdt0(xz,xk),sdtasdt0(xz,xl)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1098) ).
fof(m__1021,hypothesis,
( aElementOf0(sdtasdt0(xz,xk),xI)
& aElementOf0(sdtasdt0(xz,xl),xJ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1021) ).
fof(m__1061,hypothesis,
sdtpldt0(xx,xy) = sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1061) ).
fof(m__994,hypothesis,
( aElementOf0(sdtpldt0(xk,xm),xI)
& aElementOf0(sdtpldt0(xl,xn),xJ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__994) ).
fof(c_0_5,negated_conjecture,
~ ( ( ? [X1,X2] :
( aElementOf0(X1,xI)
& aElementOf0(X2,xJ)
& sdtpldt0(X1,X2) = sdtpldt0(xx,xy) )
| aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ)) )
& ( ? [X1,X2] :
( aElementOf0(X1,xI)
& aElementOf0(X2,xJ)
& sdtpldt0(X1,X2) = sdtasdt0(xz,xx) )
| aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ)) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_6,negated_conjecture,
! [X3,X4,X5,X6] :
( ( ~ aElementOf0(X5,xI)
| ~ aElementOf0(X6,xJ)
| sdtpldt0(X5,X6) != sdtasdt0(xz,xx)
| ~ aElementOf0(X3,xI)
| ~ aElementOf0(X4,xJ)
| sdtpldt0(X3,X4) != sdtpldt0(xx,xy) )
& ( ~ aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ))
| ~ aElementOf0(X3,xI)
| ~ aElementOf0(X4,xJ)
| sdtpldt0(X3,X4) != sdtpldt0(xx,xy) )
& ( ~ aElementOf0(X5,xI)
| ~ aElementOf0(X6,xJ)
| sdtpldt0(X5,X6) != sdtasdt0(xz,xx)
| ~ aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ)) )
& ( ~ aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ)) ) ),
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_5])])])])])]) ).
cnf(c_0_7,negated_conjecture,
( sdtpldt0(X1,X2) != sdtpldt0(xx,xy)
| ~ aElementOf0(X2,xJ)
| ~ aElementOf0(X1,xI)
| sdtpldt0(X3,X4) != sdtasdt0(xz,xx)
| ~ aElementOf0(X4,xJ)
| ~ aElementOf0(X3,xI) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_8,hypothesis,
sdtasdt0(xz,xx) = sdtpldt0(sdtasdt0(xz,xk),sdtasdt0(xz,xl)),
inference(split_conjunct,[status(thm)],[m__1098]) ).
cnf(c_0_9,negated_conjecture,
( sdtpldt0(X1,X2) != sdtpldt0(sdtasdt0(xz,xk),sdtasdt0(xz,xl))
| sdtpldt0(X3,X4) != sdtpldt0(xx,xy)
| ~ aElementOf0(X2,xJ)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X4,xJ)
| ~ aElementOf0(X3,xI) ),
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,hypothesis,
aElementOf0(sdtasdt0(xz,xl),xJ),
inference(split_conjunct,[status(thm)],[m__1021]) ).
cnf(c_0_11,hypothesis,
aElementOf0(sdtasdt0(xz,xk),xI),
inference(split_conjunct,[status(thm)],[m__1021]) ).
cnf(c_0_12,negated_conjecture,
( sdtpldt0(X1,X2) != sdtpldt0(xx,xy)
| ~ aElementOf0(X2,xJ)
| ~ aElementOf0(X1,xI) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_9]),c_0_10]),c_0_11])]) ).
cnf(c_0_13,hypothesis,
sdtpldt0(xx,xy) = sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
inference(split_conjunct,[status(thm)],[m__1061]) ).
cnf(c_0_14,hypothesis,
aElementOf0(sdtpldt0(xl,xn),xJ),
inference(split_conjunct,[status(thm)],[m__994]) ).
cnf(c_0_15,hypothesis,
aElementOf0(sdtpldt0(xk,xm),xI),
inference(split_conjunct,[status(thm)],[m__994]) ).
cnf(c_0_16,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG091+2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon May 30 05:58:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.23/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.40 # Preprocessing time : 0.019 s
% 0.23/1.40
% 0.23/1.40 # Proof found!
% 0.23/1.40 # SZS status Theorem
% 0.23/1.40 # SZS output start CNFRefutation
% See solution above
% 0.23/1.40 # Proof object total steps : 17
% 0.23/1.40 # Proof object clause steps : 10
% 0.23/1.40 # Proof object formula steps : 7
% 0.23/1.40 # Proof object conjectures : 6
% 0.23/1.40 # Proof object clause conjectures : 3
% 0.23/1.40 # Proof object formula conjectures : 3
% 0.23/1.40 # Proof object initial clauses used : 7
% 0.23/1.40 # Proof object initial formulas used : 5
% 0.23/1.40 # Proof object generating inferences : 2
% 0.23/1.40 # Proof object simplifying inferences : 7
% 0.23/1.40 # Training examples: 0 positive, 0 negative
% 0.23/1.40 # Parsed axioms : 33
% 0.23/1.40 # Removed by relevancy pruning/SinE : 11
% 0.23/1.40 # Initial clauses : 65
% 0.23/1.40 # Removed in clause preprocessing : 2
% 0.23/1.40 # Initial clauses in saturation : 63
% 0.23/1.40 # Processed clauses : 93
% 0.23/1.40 # ...of these trivial : 0
% 0.23/1.40 # ...subsumed : 3
% 0.23/1.40 # ...remaining for further processing : 90
% 0.23/1.40 # Other redundant clauses eliminated : 0
% 0.23/1.40 # Clauses deleted for lack of memory : 0
% 0.23/1.40 # Backward-subsumed : 1
% 0.23/1.40 # Backward-rewritten : 4
% 0.23/1.40 # Generated clauses : 169
% 0.23/1.40 # ...of the previous two non-trivial : 166
% 0.23/1.40 # Contextual simplify-reflections : 0
% 0.23/1.40 # Paramodulations : 165
% 0.23/1.40 # Factorizations : 0
% 0.23/1.40 # Equation resolutions : 4
% 0.23/1.40 # Current number of processed clauses : 85
% 0.23/1.40 # Positive orientable unit clauses : 31
% 0.23/1.40 # Positive unorientable unit clauses: 0
% 0.23/1.40 # Negative unit clauses : 0
% 0.23/1.40 # Non-unit-clauses : 54
% 0.23/1.40 # Current number of unprocessed clauses: 130
% 0.23/1.40 # ...number of literals in the above : 506
% 0.23/1.40 # Current number of archived formulas : 0
% 0.23/1.40 # Current number of archived clauses : 5
% 0.23/1.40 # Clause-clause subsumption calls (NU) : 496
% 0.23/1.40 # Rec. Clause-clause subsumption calls : 211
% 0.23/1.40 # Non-unit clause-clause subsumptions : 4
% 0.23/1.40 # Unit Clause-clause subsumption calls : 125
% 0.23/1.40 # Rewrite failures with RHS unbound : 0
% 0.23/1.40 # BW rewrite match attempts : 1
% 0.23/1.40 # BW rewrite match successes : 1
% 0.23/1.40 # Condensation attempts : 0
% 0.23/1.40 # Condensation successes : 0
% 0.23/1.40 # Termbank termtop insertions : 6926
% 0.23/1.40
% 0.23/1.40 # -------------------------------------------------
% 0.23/1.40 # User time : 0.026 s
% 0.23/1.40 # System time : 0.003 s
% 0.23/1.40 # Total time : 0.029 s
% 0.23/1.40 # Maximum resident set size: 3380 pages
% 0.23/23.40 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------