TSTP Solution File: LCL469+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LCL469+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n003.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 10:11:24 EDT 2022
% Result : Theorem 0.22s 1.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 16 unt; 0 def)
% Number of atoms : 44 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 14 ~; 10 |; 2 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 30 ( 3 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(op_implies_and,axiom,
( op_implies_and
=> ! [X1,X2] : implies(X1,X2) = not(and(X1,not(X2))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+1.ax',op_implies_and) ).
fof(hilbert_or_1,conjecture,
or_1,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',hilbert_or_1) ).
fof(cn2,axiom,
( cn2
<=> ! [X4,X5] : is_a_theorem(implies(X4,implies(not(X4),X5))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',cn2) ).
fof(op_or,axiom,
( op_or
=> ! [X1,X2] : or(X1,X2) = not(and(not(X1),not(X2))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+1.ax',op_or) ).
fof(hilbert_op_implies_and,axiom,
op_implies_and,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',hilbert_op_implies_and) ).
fof(or_1,axiom,
( or_1
<=> ! [X1,X2] : is_a_theorem(implies(X1,or(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',or_1) ).
fof(luka_cn2,axiom,
cn2,
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+3.ax',luka_cn2) ).
fof(luka_op_or,axiom,
op_or,
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+3.ax',luka_op_or) ).
fof(c_0_8,plain,
! [X3,X4] :
( ~ op_implies_and
| implies(X3,X4) = not(and(X3,not(X4))) ),
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)],[op_implies_and])])])])]) ).
fof(c_0_9,negated_conjecture,
~ or_1,
inference(assume_negation,[status(cth)],[hilbert_or_1]) ).
fof(c_0_10,plain,
! [X6,X7] :
( ( ~ cn2
| is_a_theorem(implies(X6,implies(not(X6),X7))) )
& ( ~ is_a_theorem(implies(esk42_0,implies(not(esk42_0),esk43_0)))
| cn2 ) ),
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)],[cn2])])])])])]) ).
fof(c_0_11,plain,
! [X3,X4] :
( ~ op_or
| or(X3,X4) = not(and(not(X3),not(X4))) ),
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)],[op_or])])])])]) ).
cnf(c_0_12,plain,
( implies(X1,X2) = not(and(X1,not(X2)))
| ~ op_implies_and ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
op_implies_and,
inference(split_conjunct,[status(thm)],[hilbert_op_implies_and]) ).
fof(c_0_14,plain,
! [X3,X4] :
( ( ~ or_1
| is_a_theorem(implies(X3,or(X3,X4))) )
& ( ~ is_a_theorem(implies(esk20_0,or(esk20_0,esk21_0)))
| or_1 ) ),
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)],[or_1])])])])])]) ).
fof(c_0_15,negated_conjecture,
~ or_1,
inference(fof_simplification,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
( is_a_theorem(implies(X1,implies(not(X1),X2)))
| ~ cn2 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
cn2,
inference(split_conjunct,[status(thm)],[luka_cn2]) ).
cnf(c_0_18,plain,
( or(X1,X2) = not(and(not(X1),not(X2)))
| ~ op_or ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,plain,
not(and(X1,not(X2))) = implies(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]) ).
cnf(c_0_20,plain,
op_or,
inference(split_conjunct,[status(thm)],[luka_op_or]) ).
cnf(c_0_21,plain,
( or_1
| ~ is_a_theorem(implies(esk20_0,or(esk20_0,esk21_0))) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,negated_conjecture,
~ or_1,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
is_a_theorem(implies(X1,implies(not(X1),X2))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]) ).
cnf(c_0_24,plain,
implies(not(X1),X2) = or(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).
cnf(c_0_25,plain,
~ is_a_theorem(implies(esk20_0,or(esk20_0,esk21_0))),
inference(sr,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,plain,
is_a_theorem(implies(X1,or(X1,X2))),
inference(rw,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL469+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n003.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 4 02:05:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.22/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.41 # Preprocessing time : 0.015 s
% 0.22/1.41
% 0.22/1.41 # Failure: Out of unprocessed clauses!
% 0.22/1.41 # OLD status GaveUp
% 0.22/1.41 # Parsed axioms : 43
% 0.22/1.41 # Removed by relevancy pruning/SinE : 41
% 0.22/1.41 # Initial clauses : 3
% 0.22/1.41 # Removed in clause preprocessing : 0
% 0.22/1.41 # Initial clauses in saturation : 3
% 0.22/1.41 # Processed clauses : 3
% 0.22/1.41 # ...of these trivial : 0
% 0.22/1.41 # ...subsumed : 1
% 0.22/1.41 # ...remaining for further processing : 2
% 0.22/1.41 # Other redundant clauses eliminated : 0
% 0.22/1.41 # Clauses deleted for lack of memory : 0
% 0.22/1.41 # Backward-subsumed : 0
% 0.22/1.41 # Backward-rewritten : 0
% 0.22/1.41 # Generated clauses : 0
% 0.22/1.41 # ...of the previous two non-trivial : 0
% 0.22/1.41 # Contextual simplify-reflections : 0
% 0.22/1.41 # Paramodulations : 0
% 0.22/1.41 # Factorizations : 0
% 0.22/1.41 # Equation resolutions : 0
% 0.22/1.41 # Current number of processed clauses : 2
% 0.22/1.41 # Positive orientable unit clauses : 0
% 0.22/1.41 # Positive unorientable unit clauses: 0
% 0.22/1.41 # Negative unit clauses : 2
% 0.22/1.41 # Non-unit-clauses : 0
% 0.22/1.41 # Current number of unprocessed clauses: 0
% 0.22/1.41 # ...number of literals in the above : 0
% 0.22/1.41 # Current number of archived formulas : 0
% 0.22/1.41 # Current number of archived clauses : 0
% 0.22/1.41 # Clause-clause subsumption calls (NU) : 0
% 0.22/1.41 # Rec. Clause-clause subsumption calls : 0
% 0.22/1.41 # Non-unit clause-clause subsumptions : 0
% 0.22/1.41 # Unit Clause-clause subsumption calls : 0
% 0.22/1.41 # Rewrite failures with RHS unbound : 0
% 0.22/1.41 # BW rewrite match attempts : 0
% 0.22/1.41 # BW rewrite match successes : 0
% 0.22/1.41 # Condensation attempts : 0
% 0.22/1.41 # Condensation successes : 0
% 0.22/1.41 # Termbank termtop insertions : 481
% 0.22/1.41
% 0.22/1.41 # -------------------------------------------------
% 0.22/1.41 # User time : 0.012 s
% 0.22/1.41 # System time : 0.003 s
% 0.22/1.41 # Total time : 0.015 s
% 0.22/1.41 # Maximum resident set size: 2736 pages
% 0.22/1.41 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.22/1.41 # Preprocessing time : 0.013 s
% 0.22/1.41
% 0.22/1.41 # Proof found!
% 0.22/1.41 # SZS status Theorem
% 0.22/1.41 # SZS output start CNFRefutation
% See solution above
% 0.22/1.41 # Proof object total steps : 28
% 0.22/1.41 # Proof object clause steps : 14
% 0.22/1.41 # Proof object formula steps : 14
% 0.22/1.41 # Proof object conjectures : 4
% 0.22/1.41 # Proof object clause conjectures : 1
% 0.22/1.41 # Proof object formula conjectures : 3
% 0.22/1.41 # Proof object initial clauses used : 8
% 0.22/1.41 # Proof object initial formulas used : 8
% 0.22/1.41 # Proof object generating inferences : 0
% 0.22/1.41 # Proof object simplifying inferences : 11
% 0.22/1.41 # Training examples: 0 positive, 0 negative
% 0.22/1.41 # Parsed axioms : 43
% 0.22/1.41 # Removed by relevancy pruning/SinE : 0
% 0.22/1.41 # Initial clauses : 72
% 0.22/1.41 # Removed in clause preprocessing : 0
% 0.22/1.41 # Initial clauses in saturation : 72
% 0.22/1.41 # Processed clauses : 91
% 0.22/1.41 # ...of these trivial : 9
% 0.22/1.41 # ...subsumed : 1
% 0.22/1.41 # ...remaining for further processing : 81
% 0.22/1.41 # Other redundant clauses eliminated : 0
% 0.22/1.41 # Clauses deleted for lack of memory : 0
% 0.22/1.41 # Backward-subsumed : 2
% 0.22/1.41 # Backward-rewritten : 8
% 0.22/1.41 # Generated clauses : 156
% 0.22/1.41 # ...of the previous two non-trivial : 131
% 0.22/1.41 # Contextual simplify-reflections : 0
% 0.22/1.41 # Paramodulations : 156
% 0.22/1.41 # Factorizations : 0
% 0.22/1.41 # Equation resolutions : 0
% 0.22/1.41 # Current number of processed clauses : 71
% 0.22/1.41 # Positive orientable unit clauses : 17
% 0.22/1.41 # Positive unorientable unit clauses: 0
% 0.22/1.41 # Negative unit clauses : 1
% 0.22/1.41 # Non-unit-clauses : 53
% 0.22/1.41 # Current number of unprocessed clauses: 99
% 0.22/1.41 # ...number of literals in the above : 248
% 0.22/1.41 # Current number of archived formulas : 0
% 0.22/1.41 # Current number of archived clauses : 10
% 0.22/1.41 # Clause-clause subsumption calls (NU) : 254
% 0.22/1.41 # Rec. Clause-clause subsumption calls : 253
% 0.22/1.41 # Non-unit clause-clause subsumptions : 0
% 0.22/1.41 # Unit Clause-clause subsumption calls : 98
% 0.22/1.41 # Rewrite failures with RHS unbound : 0
% 0.22/1.41 # BW rewrite match attempts : 48
% 0.22/1.41 # BW rewrite match successes : 10
% 0.22/1.41 # Condensation attempts : 0
% 0.22/1.41 # Condensation successes : 0
% 0.22/1.41 # Termbank termtop insertions : 5866
% 0.22/1.41
% 0.22/1.41 # -------------------------------------------------
% 0.22/1.41 # User time : 0.015 s
% 0.22/1.41 # System time : 0.002 s
% 0.22/1.41 # Total time : 0.017 s
% 0.22/1.41 # Maximum resident set size: 3324 pages
%------------------------------------------------------------------------------