TSTP Solution File: LCL064-1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : LCL064-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n022.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 : 300s
% DateTime : Sat May 4 08:17:38 EDT 2024
% Result : Unsatisfiable 0.16s 0.44s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of clauses : 19 ( 10 unt; 0 nHn; 12 RR)
% Number of literals : 33 ( 0 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 39 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
file('/export/starexec/sandbox/tmp/tmp.H0BklHPOmP/E---3.1_4958.p',condensed_detachment) ).
cnf(cn_35,axiom,
is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3)))),
file('/export/starexec/sandbox/tmp/tmp.H0BklHPOmP/E---3.1_4958.p',cn_35) ).
cnf(cn_18,axiom,
is_a_theorem(implies(X1,implies(X2,X1))),
file('/export/starexec/sandbox/tmp/tmp.H0BklHPOmP/E---3.1_4958.p',cn_18) ).
cnf(prove_cn_1,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
file('/export/starexec/sandbox/tmp/tmp.H0BklHPOmP/E---3.1_4958.p',prove_cn_1) ).
cnf(c_0_4,plain,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
inference(fof_simplification,[status(thm)],[condensed_detachment]) ).
cnf(c_0_5,plain,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
c_0_4 ).
cnf(c_0_6,axiom,
is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3)))),
cn_35 ).
cnf(c_0_7,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))
| ~ is_a_theorem(implies(X1,implies(X2,X3))) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,axiom,
is_a_theorem(implies(X1,implies(X2,X1))),
cn_18 ).
cnf(c_0_9,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(X3,X2)))
| ~ is_a_theorem(implies(X1,X3)) ),
inference(spm,[status(thm)],[c_0_5,c_0_7]) ).
cnf(c_0_10,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_5,c_0_8]) ).
cnf(c_0_11,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,X3))
| ~ is_a_theorem(implies(X3,X2)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X3,X1),X2)) ),
inference(spm,[status(thm)],[c_0_11,c_0_8]) ).
cnf(c_0_13,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
inference(fof_simplification,[status(thm)],[prove_cn_1]) ).
cnf(c_0_14,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(X2,implies(X1,X3))) ),
inference(spm,[status(thm)],[c_0_12,c_0_7]) ).
cnf(c_0_15,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2)))),
inference(spm,[status(thm)],[c_0_12,c_0_6]) ).
cnf(c_0_16,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
c_0_13 ).
cnf(c_0_17,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : LCL064-1 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.11 % Command : run_E %s %d THM
% 0.16/0.31 % Computer : n022.cluster.edu
% 0.16/0.31 % Model : x86_64 x86_64
% 0.16/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.31 % Memory : 8042.1875MB
% 0.16/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.31 % CPULimit : 300
% 0.16/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Fri May 3 09:01:27 EDT 2024
% 0.16/0.32 % CPUTime :
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.H0BklHPOmP/E---3.1_4958.p
% 0.16/0.44 # Version: 3.1.0
% 0.16/0.44 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44 # Starting sh5l with 300s (1) cores
% 0.16/0.44 # new_bool_3 with pid 5037 completed with status 0
% 0.16/0.44 # Result found by new_bool_3
% 0.16/0.44 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.44 # Search class: FHUNS-FFSF22-MFFFFFNN
% 0.16/0.44 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44 # Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 181s (1) cores
% 0.16/0.44 # G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with pid 5041 completed with status 0
% 0.16/0.44 # Result found by G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y
% 0.16/0.44 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.44 # Search class: FHUNS-FFSF22-MFFFFFNN
% 0.16/0.44 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44 # Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 181s (1) cores
% 0.16/0.44 # Preprocessing time : 0.001 s
% 0.16/0.44
% 0.16/0.44 # Proof found!
% 0.16/0.44 # SZS status Unsatisfiable
% 0.16/0.44 # SZS output start CNFRefutation
% See solution above
% 0.16/0.44 # Parsed axioms : 5
% 0.16/0.44 # Removed by relevancy pruning/SinE : 1
% 0.16/0.44 # Initial clauses : 4
% 0.16/0.44 # Removed in clause preprocessing : 0
% 0.16/0.44 # Initial clauses in saturation : 4
% 0.16/0.44 # Processed clauses : 103
% 0.16/0.44 # ...of these trivial : 1
% 0.16/0.44 # ...subsumed : 51
% 0.16/0.44 # ...remaining for further processing : 51
% 0.16/0.44 # Other redundant clauses eliminated : 0
% 0.16/0.44 # Clauses deleted for lack of memory : 0
% 0.16/0.44 # Backward-subsumed : 0
% 0.16/0.44 # Backward-rewritten : 2
% 0.16/0.44 # Generated clauses : 352
% 0.16/0.44 # ...of the previous two non-redundant : 197
% 0.16/0.44 # ...aggressively subsumed : 0
% 0.16/0.44 # Contextual simplify-reflections : 0
% 0.16/0.44 # Paramodulations : 352
% 0.16/0.44 # Factorizations : 0
% 0.16/0.44 # NegExts : 0
% 0.16/0.44 # Equation resolutions : 0
% 0.16/0.44 # Disequality decompositions : 0
% 0.16/0.44 # Total rewrite steps : 137
% 0.16/0.44 # ...of those cached : 109
% 0.16/0.44 # Propositional unsat checks : 0
% 0.16/0.44 # Propositional check models : 0
% 0.16/0.44 # Propositional check unsatisfiable : 0
% 0.16/0.44 # Propositional clauses : 0
% 0.16/0.44 # Propositional clauses after purity: 0
% 0.16/0.44 # Propositional unsat core size : 0
% 0.16/0.44 # Propositional preprocessing time : 0.000
% 0.16/0.44 # Propositional encoding time : 0.000
% 0.16/0.44 # Propositional solver time : 0.000
% 0.16/0.44 # Success case prop preproc time : 0.000
% 0.16/0.44 # Success case prop encoding time : 0.000
% 0.16/0.44 # Success case prop solver time : 0.000
% 0.16/0.44 # Current number of processed clauses : 49
% 0.16/0.44 # Positive orientable unit clauses : 24
% 0.16/0.44 # Positive unorientable unit clauses: 0
% 0.16/0.44 # Negative unit clauses : 5
% 0.16/0.44 # Non-unit-clauses : 20
% 0.16/0.44 # Current number of unprocessed clauses: 95
% 0.16/0.44 # ...number of literals in the above : 181
% 0.16/0.44 # Current number of archived formulas : 0
% 0.16/0.44 # Current number of archived clauses : 2
% 0.16/0.44 # Clause-clause subsumption calls (NU) : 221
% 0.16/0.44 # Rec. Clause-clause subsumption calls : 221
% 0.16/0.44 # Non-unit clause-clause subsumptions : 49
% 0.16/0.44 # Unit Clause-clause subsumption calls : 34
% 0.16/0.44 # Rewrite failures with RHS unbound : 0
% 0.16/0.44 # BW rewrite match attempts : 284
% 0.16/0.44 # BW rewrite match successes : 2
% 0.16/0.44 # Condensation attempts : 103
% 0.16/0.44 # Condensation successes : 3
% 0.16/0.44 # Termbank termtop insertions : 3448
% 0.16/0.44 # Search garbage collected termcells : 14
% 0.16/0.44
% 0.16/0.44 # -------------------------------------------------
% 0.16/0.44 # User time : 0.003 s
% 0.16/0.44 # System time : 0.003 s
% 0.16/0.44 # Total time : 0.006 s
% 0.16/0.44 # Maximum resident set size: 1612 pages
% 0.16/0.44
% 0.16/0.44 # -------------------------------------------------
% 0.16/0.44 # User time : 0.003 s
% 0.16/0.44 # System time : 0.006 s
% 0.16/0.44 # Total time : 0.009 s
% 0.16/0.44 # Maximum resident set size: 1696 pages
% 0.16/0.44 % E---3.1 exiting
% 0.16/0.44 % E exiting
%------------------------------------------------------------------------------