TSTP Solution File: KRS202+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : KRS202+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.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 03:00:05 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 10 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 69 ( 27 ~; 25 |; 12 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 49 ( 9 sgn 26 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(esa,axiom,
! [X1,X2] :
( ( ? [X3] : model(X3,X1)
<=> ? [X4] : model(X4,X2) )
<=> status(X1,X2,esa) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',esa) ).
fof(non_thm_spt,axiom,
? [X3,X1,X2] :
( model(X3,X1)
& ~ model(X3,X2)
& ? [X4] : model(X4,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',non_thm_spt) ).
fof(nota_esa_thm,conjecture,
nota(esa,thm),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',nota_esa_thm) ).
fof(nota,axiom,
! [X7,X8] :
( ? [X1,X2] :
( status(X1,X2,X7)
& ~ status(X1,X2,X8) )
<=> nota(X7,X8) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',nota) ).
fof(thm,axiom,
! [X1,X2] :
( ! [X3] :
( model(X3,X1)
=> model(X3,X2) )
<=> status(X1,X2,thm) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',thm) ).
fof(c_0_5,plain,
! [X5,X6,X7,X8,X5,X6,X11,X13] :
( ( ~ model(X7,X5)
| ~ model(X8,X6)
| status(X5,X6,esa) )
& ( model(esk4_2(X5,X6),X5)
| model(esk5_2(X5,X6),X6)
| status(X5,X6,esa) )
& ( ~ model(X11,X5)
| model(esk6_2(X5,X6),X6)
| ~ status(X5,X6,esa) )
& ( ~ model(X13,X6)
| model(esk7_2(X5,X6),X5)
| ~ status(X5,X6,esa) ) ),
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)],[esa])])])])])])]) ).
fof(c_0_6,plain,
( model(esk23_0,esk24_0)
& ~ model(esk23_0,esk25_0)
& model(esk26_0,esk25_0) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[non_thm_spt])])])])]) ).
cnf(c_0_7,plain,
( status(X1,X2,esa)
| ~ model(X3,X2)
| ~ model(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
model(esk23_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_9,negated_conjecture,
~ nota(esa,thm),
inference(assume_negation,[status(cth)],[nota_esa_thm]) ).
fof(c_0_10,plain,
! [X9,X10,X11,X12,X9,X10] :
( ( ~ status(X11,X12,X9)
| status(X11,X12,X10)
| nota(X9,X10) )
& ( status(esk1_2(X9,X10),esk2_2(X9,X10),X9)
| ~ nota(X9,X10) )
& ( ~ status(esk1_2(X9,X10),esk2_2(X9,X10),X10)
| ~ nota(X9,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)],[nota])])])])])])])]) ).
cnf(c_0_11,plain,
( status(esk24_0,X1,esa)
| ~ model(X2,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,plain,
model(esk26_0,esk25_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_13,negated_conjecture,
~ nota(esa,thm),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( nota(X1,X2)
| status(X3,X4,X2)
| ~ status(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
status(esk24_0,esk25_0,esa),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
fof(c_0_16,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])])])])])])]) ).
cnf(c_0_17,negated_conjecture,
~ nota(esa,thm),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
( nota(esa,X1)
| status(esk24_0,esk25_0,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,plain,
( model(X1,X2)
| ~ model(X1,X3)
| ~ status(X3,X2,thm) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,negated_conjecture,
status(esk24_0,esk25_0,thm),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,plain,
~ model(esk23_0,esk25_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_22,negated_conjecture,
( model(X1,esk25_0)
| ~ model(X1,esk24_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS202+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n021.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 06:40:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41 # Preprocessing time : 0.016 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 24
% 0.23/1.41 # Proof object clause steps : 13
% 0.23/1.41 # Proof object formula steps : 11
% 0.23/1.41 # Proof object conjectures : 7
% 0.23/1.41 # Proof object clause conjectures : 4
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 7
% 0.23/1.41 # Proof object initial formulas used : 5
% 0.23/1.41 # Proof object generating inferences : 6
% 0.23/1.41 # Proof object simplifying inferences : 2
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 33
% 0.23/1.41 # Removed by relevancy pruning/SinE : 23
% 0.23/1.41 # Initial clauses : 26
% 0.23/1.41 # Removed in clause preprocessing : 0
% 0.23/1.41 # Initial clauses in saturation : 26
% 0.23/1.41 # Processed clauses : 193
% 0.23/1.41 # ...of these trivial : 8
% 0.23/1.41 # ...subsumed : 7
% 0.23/1.41 # ...remaining for further processing : 178
% 0.23/1.41 # Other redundant clauses eliminated : 0
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 0
% 0.23/1.41 # Backward-rewritten : 0
% 0.23/1.41 # Generated clauses : 827
% 0.23/1.41 # ...of the previous two non-trivial : 590
% 0.23/1.41 # Contextual simplify-reflections : 2
% 0.23/1.41 # Paramodulations : 825
% 0.23/1.41 # Factorizations : 2
% 0.23/1.41 # Equation resolutions : 0
% 0.23/1.41 # Current number of processed clauses : 178
% 0.23/1.41 # Positive orientable unit clauses : 105
% 0.23/1.41 # Positive unorientable unit clauses: 0
% 0.23/1.41 # Negative unit clauses : 20
% 0.23/1.41 # Non-unit-clauses : 53
% 0.23/1.41 # Current number of unprocessed clauses: 423
% 0.23/1.41 # ...number of literals in the above : 906
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 0
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 149
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 141
% 0.23/1.41 # Non-unit clause-clause subsumptions : 6
% 0.23/1.41 # Unit Clause-clause subsumption calls : 258
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 24
% 0.23/1.41 # BW rewrite match successes : 0
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 8843
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.025 s
% 0.23/1.41 # System time : 0.002 s
% 0.23/1.41 # Total time : 0.027 s
% 0.23/1.41 # Maximum resident set size: 3820 pages
%------------------------------------------------------------------------------