TSTP Solution File: KRS235+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : KRS235+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.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 : Sun Jul 17 03:00:09 EDT 2022
% Result : Theorem 0.24s 1.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 6 unt; 0 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 88 ( 34 ~; 36 |; 12 &)
% ( 3 <=>; 2 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 61 ( 8 sgn 32 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(noc,axiom,
! [X1,X2] :
( ( ? [X3] :
( model(X3,X1)
& model(X3,X2) )
& ? [X4] :
( model(X4,X1)
& model(X4,not(X2)) ) )
<=> status(X1,X2,noc) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',noc) ).
fof(nevera,axiom,
! [X7,X8] :
( ! [X1,X2] :
( status(X1,X2,X7)
=> ~ status(X1,X2,X8) )
<=> nevera(X7,X8) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',nevera) ).
fof(thm,axiom,
! [X1,X2] :
( ! [X3] :
( model(X3,X1)
=> model(X3,X2) )
<=> status(X1,X2,thm) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',thm) ).
fof(completeness,axiom,
! [X9,X10] :
( model(X9,X10)
<~> model(X9,not(X10)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',completeness) ).
fof(nevera_noc_thm,conjecture,
nevera(noc,thm),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',nevera_noc_thm) ).
fof(c_0_5,plain,
! [X5,X6,X7,X8,X5,X6] :
( ( ~ model(X7,X5)
| ~ model(X7,X6)
| ~ model(X8,X5)
| ~ model(X8,not(X6))
| status(X5,X6,noc) )
& ( model(esk4_2(X5,X6),X5)
| ~ status(X5,X6,noc) )
& ( model(esk4_2(X5,X6),X6)
| ~ status(X5,X6,noc) )
& ( model(esk5_2(X5,X6),X5)
| ~ status(X5,X6,noc) )
& ( model(esk5_2(X5,X6),not(X6))
| ~ status(X5,X6,noc) ) ),
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)],[noc])])])])])])]) ).
fof(c_0_6,plain,
! [X9,X10,X9,X10,X13,X14] :
( ( status(esk1_2(X9,X10),esk2_2(X9,X10),X9)
| nevera(X9,X10) )
& ( status(esk1_2(X9,X10),esk2_2(X9,X10),X10)
| nevera(X9,X10) )
& ( ~ nevera(X9,X10)
| ~ status(X13,X14,X9)
| ~ status(X13,X14,X10) ) ),
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)],[inference(fof_simplification,[status(thm)],[nevera])])])])])])])]) ).
fof(c_0_7,plain,
! [X4,X5,X4,X5,X7] :
( ( model(esk3_2(X4,X5),X4)
| status(X4,X5,thm) )
& ( ~ model(esk3_2(X4,X5),X5)
| status(X4,X5,thm) )
& ( ~ status(X4,X5,thm)
| ~ model(X7,X4)
| model(X7,X5) ) ),
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)],[thm])])])])])])]) ).
fof(c_0_8,plain,
! [X11,X12,X11,X12] :
( ( ~ model(X11,X12)
| ~ model(X11,not(X12)) )
& ( model(X11,X12)
| model(X11,not(X12)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[completeness])])])])]) ).
cnf(c_0_9,plain,
( model(esk5_2(X1,X2),not(X2))
| ~ status(X1,X2,noc) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
( nevera(X1,X2)
| status(esk1_2(X1,X2),esk2_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( model(X1,X2)
| ~ model(X1,X3)
| ~ status(X3,X2,thm) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( nevera(X1,X2)
| status(esk1_2(X1,X2),esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,plain,
( model(esk5_2(X1,X2),X1)
| ~ status(X1,X2,noc) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,plain,
( ~ status(X1,X2,X3)
| ~ status(X1,X2,X4)
| ~ nevera(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,plain,
( ~ model(X1,not(X2))
| ~ model(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,plain,
( nevera(X1,noc)
| model(esk5_2(esk1_2(X1,noc),esk2_2(X1,noc)),not(esk2_2(X1,noc))) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_17,plain,
( nevera(thm,X1)
| model(X2,esk2_2(thm,X1))
| ~ model(X2,esk1_2(thm,X1)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,plain,
( nevera(X1,noc)
| model(esk5_2(esk1_2(X1,noc),esk2_2(X1,noc)),esk1_2(X1,noc)) ),
inference(spm,[status(thm)],[c_0_13,c_0_10]) ).
fof(c_0_19,negated_conjecture,
~ nevera(noc,thm),
inference(assume_negation,[status(cth)],[nevera_noc_thm]) ).
cnf(c_0_20,plain,
( nevera(X1,X2)
| ~ nevera(X2,X3)
| ~ status(esk1_2(X1,X2),esk2_2(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_10]) ).
cnf(c_0_21,plain,
( nevera(X1,noc)
| ~ model(esk5_2(esk1_2(X1,noc),esk2_2(X1,noc)),esk2_2(X1,noc)) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,plain,
( nevera(thm,noc)
| model(esk5_2(esk1_2(thm,noc),esk2_2(thm,noc)),esk2_2(thm,noc)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
fof(c_0_23,negated_conjecture,
~ nevera(noc,thm),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
cnf(c_0_24,plain,
( nevera(X1,X2)
| ~ nevera(X2,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_12]) ).
cnf(c_0_25,plain,
nevera(thm,noc),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
~ nevera(noc,thm),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_27,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS235+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n020.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 : Tue Jun 7 15:31:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.24/1.42 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.24/1.42 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.24/1.42 # Preprocessing time : 0.016 s
% 0.24/1.42
% 0.24/1.42 # Proof found!
% 0.24/1.42 # SZS status Theorem
% 0.24/1.42 # SZS output start CNFRefutation
% See solution above
% 0.24/1.42 # Proof object total steps : 28
% 0.24/1.42 # Proof object clause steps : 17
% 0.24/1.42 # Proof object formula steps : 11
% 0.24/1.42 # Proof object conjectures : 4
% 0.24/1.42 # Proof object clause conjectures : 1
% 0.24/1.42 # Proof object formula conjectures : 3
% 0.24/1.42 # Proof object initial clauses used : 8
% 0.24/1.42 # Proof object initial formulas used : 5
% 0.24/1.42 # Proof object generating inferences : 9
% 0.24/1.42 # Proof object simplifying inferences : 1
% 0.24/1.42 # Training examples: 0 positive, 0 negative
% 0.24/1.42 # Parsed axioms : 33
% 0.24/1.42 # Removed by relevancy pruning/SinE : 21
% 0.24/1.42 # Initial clauses : 31
% 0.24/1.42 # Removed in clause preprocessing : 0
% 0.24/1.42 # Initial clauses in saturation : 31
% 0.24/1.42 # Processed clauses : 126
% 0.24/1.42 # ...of these trivial : 2
% 0.24/1.42 # ...subsumed : 42
% 0.24/1.42 # ...remaining for further processing : 82
% 0.24/1.42 # Other redundant clauses eliminated : 0
% 0.24/1.42 # Clauses deleted for lack of memory : 0
% 0.24/1.42 # Backward-subsumed : 0
% 0.24/1.42 # Backward-rewritten : 8
% 0.24/1.42 # Generated clauses : 146
% 0.24/1.42 # ...of the previous two non-trivial : 130
% 0.24/1.42 # Contextual simplify-reflections : 0
% 0.24/1.42 # Paramodulations : 146
% 0.24/1.42 # Factorizations : 0
% 0.24/1.42 # Equation resolutions : 0
% 0.24/1.42 # Current number of processed clauses : 74
% 0.24/1.42 # Positive orientable unit clauses : 22
% 0.24/1.42 # Positive unorientable unit clauses: 0
% 0.24/1.42 # Negative unit clauses : 7
% 0.24/1.42 # Non-unit-clauses : 45
% 0.24/1.42 # Current number of unprocessed clauses: 21
% 0.24/1.42 # ...number of literals in the above : 61
% 0.24/1.42 # Current number of archived formulas : 0
% 0.24/1.42 # Current number of archived clauses : 8
% 0.24/1.42 # Clause-clause subsumption calls (NU) : 127
% 0.24/1.42 # Rec. Clause-clause subsumption calls : 107
% 0.24/1.42 # Non-unit clause-clause subsumptions : 3
% 0.24/1.42 # Unit Clause-clause subsumption calls : 48
% 0.24/1.42 # Rewrite failures with RHS unbound : 0
% 0.24/1.42 # BW rewrite match attempts : 22
% 0.24/1.42 # BW rewrite match successes : 8
% 0.24/1.42 # Condensation attempts : 0
% 0.24/1.42 # Condensation successes : 0
% 0.24/1.42 # Termbank termtop insertions : 3671
% 0.24/1.42
% 0.24/1.42 # -------------------------------------------------
% 0.24/1.42 # User time : 0.018 s
% 0.24/1.42 # System time : 0.003 s
% 0.24/1.42 # Total time : 0.021 s
% 0.24/1.42 # Maximum resident set size: 3028 pages
% 0.24/23.42 eprover: CPU time limit exceeded, terminating
% 0.24/23.42 eprover: CPU time limit exceeded, terminating
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------