TSTP Solution File: LCL077-1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LCL077-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n015.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:11:27 EDT 2023
% Result : Unsatisfiable 0.17s 0.49s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of clauses : 21 ( 12 unt; 0 nHn; 11 RR)
% Number of literals : 34 ( 0 equ; 15 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 42 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.TBRB3GoMjm/E---3.1_31885.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/sandbox2/tmp/tmp.TBRB3GoMjm/E---3.1_31885.p',cn_35) ).
cnf(cn_18,axiom,
is_a_theorem(implies(X1,implies(X2,X1))),
file('/export/starexec/sandbox2/tmp/tmp.TBRB3GoMjm/E---3.1_31885.p',cn_18) ).
cnf(cn_49,axiom,
is_a_theorem(implies(implies(not(X1),not(X2)),implies(X2,X1))),
file('/export/starexec/sandbox2/tmp/tmp.TBRB3GoMjm/E---3.1_31885.p',cn_49) ).
cnf(prove_cn_39,negated_conjecture,
~ is_a_theorem(implies(not(not(a)),a)),
file('/export/starexec/sandbox2/tmp/tmp.TBRB3GoMjm/E---3.1_31885.p',prove_cn_39) ).
cnf(c_0_5,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
condensed_detachment ).
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,axiom,
is_a_theorem(implies(implies(not(X1),not(X2)),implies(X2,X1))),
cn_49 ).
cnf(c_0_14,plain,
is_a_theorem(implies(not(X1),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,plain,
( is_a_theorem(implies(not(X1),X2))
| ~ is_a_theorem(implies(implies(X1,X3),X2)) ),
inference(spm,[status(thm)],[c_0_11,c_0_14]) ).
cnf(c_0_16,plain,
is_a_theorem(implies(not(not(X1)),implies(X2,X1))),
inference(spm,[status(thm)],[c_0_15,c_0_13]) ).
cnf(c_0_17,plain,
( is_a_theorem(implies(not(not(X1)),X1))
| ~ is_a_theorem(implies(not(not(X1)),X2)) ),
inference(spm,[status(thm)],[c_0_9,c_0_16]) ).
cnf(c_0_18,negated_conjecture,
~ is_a_theorem(implies(not(not(a)),a)),
prove_cn_39 ).
cnf(c_0_19,plain,
is_a_theorem(implies(not(not(X1)),X1)),
inference(spm,[status(thm)],[c_0_17,c_0_8]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL077-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n015.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 : 2400
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Oct 2 12:39:46 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.17/0.47 Running first-order theorem proving
% 0.17/0.47 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.TBRB3GoMjm/E---3.1_31885.p
% 0.17/0.49 # Version: 3.1pre001
% 0.17/0.49 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.49 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.49 # Starting sh5l with 300s (1) cores
% 0.17/0.49 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 31963 completed with status 0
% 0.17/0.49 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.17/0.49 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.49 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.49 # No SInE strategy applied
% 0.17/0.49 # Search class: FHUNS-FFSF21-MFFFFFNN
% 0.17/0.49 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.49 # Starting H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V with 811s (1) cores
% 0.17/0.49 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.17/0.49 # Starting H----_011_C07_F1_PI_SE_SP_S0V with 136s (1) cores
% 0.17/0.49 # Starting new_bool_3 with 136s (1) cores
% 0.17/0.49 # Starting new_bool_1 with 136s (1) cores
% 0.17/0.49 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 31969 completed with status 0
% 0.17/0.49 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.17/0.49 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.49 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.49 # No SInE strategy applied
% 0.17/0.49 # Search class: FHUNS-FFSF21-MFFFFFNN
% 0.17/0.49 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.49 # Starting H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V with 811s (1) cores
% 0.17/0.49 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.17/0.49 # Preprocessing time : 0.001 s
% 0.17/0.49
% 0.17/0.49 # Proof found!
% 0.17/0.49 # SZS status Unsatisfiable
% 0.17/0.49 # SZS output start CNFRefutation
% See solution above
% 0.17/0.49 # Parsed axioms : 5
% 0.17/0.49 # Removed by relevancy pruning/SinE : 0
% 0.17/0.49 # Initial clauses : 5
% 0.17/0.49 # Removed in clause preprocessing : 0
% 0.17/0.49 # Initial clauses in saturation : 5
% 0.17/0.49 # Processed clauses : 63
% 0.17/0.49 # ...of these trivial : 0
% 0.17/0.49 # ...subsumed : 18
% 0.17/0.49 # ...remaining for further processing : 45
% 0.17/0.49 # Other redundant clauses eliminated : 0
% 0.17/0.49 # Clauses deleted for lack of memory : 0
% 0.17/0.49 # Backward-subsumed : 2
% 0.17/0.49 # Backward-rewritten : 1
% 0.17/0.49 # Generated clauses : 245
% 0.17/0.49 # ...of the previous two non-redundant : 206
% 0.17/0.49 # ...aggressively subsumed : 0
% 0.17/0.49 # Contextual simplify-reflections : 0
% 0.17/0.49 # Paramodulations : 245
% 0.17/0.49 # Factorizations : 0
% 0.17/0.49 # NegExts : 0
% 0.17/0.49 # Equation resolutions : 0
% 0.17/0.49 # Total rewrite steps : 23
% 0.17/0.49 # Propositional unsat checks : 0
% 0.17/0.49 # Propositional check models : 0
% 0.17/0.49 # Propositional check unsatisfiable : 0
% 0.17/0.49 # Propositional clauses : 0
% 0.17/0.49 # Propositional clauses after purity: 0
% 0.17/0.49 # Propositional unsat core size : 0
% 0.17/0.49 # Propositional preprocessing time : 0.000
% 0.17/0.49 # Propositional encoding time : 0.000
% 0.17/0.49 # Propositional solver time : 0.000
% 0.17/0.49 # Success case prop preproc time : 0.000
% 0.17/0.49 # Success case prop encoding time : 0.000
% 0.17/0.49 # Success case prop solver time : 0.000
% 0.17/0.49 # Current number of processed clauses : 42
% 0.17/0.49 # Positive orientable unit clauses : 10
% 0.17/0.49 # Positive unorientable unit clauses: 0
% 0.17/0.49 # Negative unit clauses : 2
% 0.17/0.49 # Non-unit-clauses : 30
% 0.17/0.49 # Current number of unprocessed clauses: 144
% 0.17/0.49 # ...number of literals in the above : 290
% 0.17/0.49 # Current number of archived formulas : 0
% 0.17/0.49 # Current number of archived clauses : 3
% 0.17/0.49 # Clause-clause subsumption calls (NU) : 241
% 0.17/0.49 # Rec. Clause-clause subsumption calls : 241
% 0.17/0.49 # Non-unit clause-clause subsumptions : 18
% 0.17/0.49 # Unit Clause-clause subsumption calls : 31
% 0.17/0.49 # Rewrite failures with RHS unbound : 0
% 0.17/0.49 # BW rewrite match attempts : 55
% 0.17/0.49 # BW rewrite match successes : 3
% 0.17/0.49 # Condensation attempts : 0
% 0.17/0.49 # Condensation successes : 0
% 0.17/0.49 # Termbank termtop insertions : 3026
% 0.17/0.49
% 0.17/0.49 # -------------------------------------------------
% 0.17/0.49 # User time : 0.006 s
% 0.17/0.49 # System time : 0.003 s
% 0.17/0.49 # Total time : 0.008 s
% 0.17/0.49 # Maximum resident set size: 1592 pages
% 0.17/0.49
% 0.17/0.49 # -------------------------------------------------
% 0.17/0.49 # User time : 0.032 s
% 0.17/0.49 # System time : 0.007 s
% 0.17/0.49 # Total time : 0.039 s
% 0.17/0.49 # Maximum resident set size: 1672 pages
% 0.17/0.49 % E---3.1 exiting
% 0.17/0.49 % E---3.1 exiting
%------------------------------------------------------------------------------