TSTP Solution File: LCL311-3 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : LCL311-3 : TPTP v8.1.2. Released v2.3.0.
% 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 08:27:10 EDT 2024
% Result : Unsatisfiable 0.21s 0.53s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of clauses : 40 ( 25 unt; 0 nHn; 20 RR)
% Number of literals : 63 ( 7 equ; 29 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 66 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_2,axiom,
( theorem(X1)
| ~ theorem(implies(X2,X1))
| ~ theorem(X2) ),
file('/export/starexec/sandbox/tmp/tmp.Ok61Gqp7XY/E---3.1_2159.p',rule_2) ).
cnf(implies_definition,axiom,
implies(X1,X2) = or(not(X1),X2),
file('/export/starexec/sandbox/tmp/tmp.Ok61Gqp7XY/E---3.1_2159.p',implies_definition) ).
cnf(rule_1,axiom,
( theorem(X1)
| ~ axiom(X1) ),
file('/export/starexec/sandbox/tmp/tmp.Ok61Gqp7XY/E---3.1_2159.p',rule_1) ).
cnf(axiom_1_5,axiom,
axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
file('/export/starexec/sandbox/tmp/tmp.Ok61Gqp7XY/E---3.1_2159.p',axiom_1_5) ).
cnf(axiom_1_4,axiom,
axiom(implies(or(X1,X2),or(X2,X1))),
file('/export/starexec/sandbox/tmp/tmp.Ok61Gqp7XY/E---3.1_2159.p',axiom_1_4) ).
cnf(prove_this,negated_conjecture,
~ theorem(equivalent(implies(p,not(p)),not(p))),
file('/export/starexec/sandbox/tmp/tmp.Ok61Gqp7XY/E---3.1_2159.p',prove_this) ).
cnf(equivalent_defn,axiom,
equivalent(X1,X2) = and(implies(X1,X2),implies(X2,X1)),
file('/export/starexec/sandbox/tmp/tmp.Ok61Gqp7XY/E---3.1_2159.p',equivalent_defn) ).
cnf(and_defn,axiom,
and(X1,X2) = not(or(not(X1),not(X2))),
file('/export/starexec/sandbox/tmp/tmp.Ok61Gqp7XY/E---3.1_2159.p',and_defn) ).
cnf(axiom_1_2,axiom,
axiom(implies(or(X1,X1),X1)),
file('/export/starexec/sandbox/tmp/tmp.Ok61Gqp7XY/E---3.1_2159.p',axiom_1_2) ).
cnf(axiom_1_3,axiom,
axiom(implies(X1,or(X2,X1))),
file('/export/starexec/sandbox/tmp/tmp.Ok61Gqp7XY/E---3.1_2159.p',axiom_1_3) ).
cnf(c_0_10,plain,
( theorem(X1)
| ~ theorem(implies(X2,X1))
| ~ theorem(X2) ),
inference(fof_simplification,[status(thm)],[rule_2]) ).
cnf(c_0_11,plain,
( theorem(X1)
| ~ theorem(implies(X2,X1))
| ~ theorem(X2) ),
c_0_10 ).
cnf(c_0_12,axiom,
implies(X1,X2) = or(not(X1),X2),
implies_definition ).
cnf(c_0_13,plain,
( theorem(X1)
| ~ axiom(X1) ),
inference(fof_simplification,[status(thm)],[rule_1]) ).
cnf(c_0_14,plain,
( theorem(X1)
| ~ theorem(X2)
| ~ theorem(or(not(X2),X1)) ),
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
( theorem(X1)
| ~ axiom(X1) ),
c_0_13 ).
cnf(c_0_16,axiom,
axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
axiom_1_5 ).
cnf(c_0_17,plain,
( theorem(X1)
| ~ theorem(X2)
| ~ axiom(or(not(X2),X1)) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,plain,
axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rw,[status(thm)],[c_0_16,c_0_12]) ).
cnf(c_0_19,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,plain,
( theorem(or(X1,or(X2,X3)))
| ~ axiom(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_19,c_0_15]) ).
cnf(c_0_21,axiom,
axiom(implies(or(X1,X2),or(X2,X1))),
axiom_1_4 ).
cnf(c_0_22,plain,
( theorem(or(X1,X2))
| ~ theorem(X3)
| ~ axiom(or(X1,or(not(X3),X2))) ),
inference(spm,[status(thm)],[c_0_14,c_0_20]) ).
cnf(c_0_23,plain,
axiom(or(not(or(X1,X2)),or(X2,X1))),
inference(rw,[status(thm)],[c_0_21,c_0_12]) ).
cnf(c_0_24,negated_conjecture,
~ theorem(equivalent(implies(p,not(p)),not(p))),
inference(fof_simplification,[status(thm)],[prove_this]) ).
cnf(c_0_25,axiom,
equivalent(X1,X2) = and(implies(X1,X2),implies(X2,X1)),
equivalent_defn ).
cnf(c_0_26,axiom,
and(X1,X2) = not(or(not(X1),not(X2))),
and_defn ).
cnf(c_0_27,plain,
( theorem(or(not(or(X1,not(X2))),X1))
| ~ theorem(X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
~ theorem(equivalent(implies(p,not(p)),not(p))),
c_0_24 ).
cnf(c_0_29,plain,
equivalent(X1,X2) = not(or(not(or(not(X1),X2)),not(or(not(X2),X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_12]),c_0_12]),c_0_26]) ).
cnf(c_0_30,plain,
( theorem(X1)
| ~ theorem(or(X1,not(X2)))
| ~ theorem(X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_27]) ).
cnf(c_0_31,negated_conjecture,
~ theorem(not(or(not(or(not(or(not(p),not(p))),not(p))),not(or(not(not(p)),or(not(p),not(p))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_12]),c_0_29]) ).
cnf(c_0_32,plain,
( theorem(not(or(not(X1),not(X2))))
| ~ theorem(X1)
| ~ theorem(X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_27]) ).
cnf(c_0_33,axiom,
axiom(implies(or(X1,X1),X1)),
axiom_1_2 ).
cnf(c_0_34,negated_conjecture,
( ~ theorem(or(not(or(not(p),not(p))),not(p)))
| ~ theorem(or(not(not(p)),or(not(p),not(p)))) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,plain,
axiom(or(not(or(X1,X1)),X1)),
inference(rw,[status(thm)],[c_0_33,c_0_12]) ).
cnf(c_0_36,axiom,
axiom(implies(X1,or(X2,X1))),
axiom_1_3 ).
cnf(c_0_37,negated_conjecture,
~ theorem(or(not(not(p)),or(not(p),not(p)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_15]),c_0_35])]) ).
cnf(c_0_38,plain,
axiom(or(not(X1),or(X2,X1))),
inference(rw,[status(thm)],[c_0_36,c_0_12]) ).
cnf(c_0_39,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_15]),c_0_38])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LCL311-3 : TPTP v8.1.2. Released v2.3.0.
% 0.13/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 09:00:27 EDT 2024
% 0.21/0.36 % CPUTime :
% 0.21/0.49 Running first-order model finding
% 0.21/0.49 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.Ok61Gqp7XY/E---3.1_2159.p
% 0.21/0.53 # Version: 3.1.0
% 0.21/0.53 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.53 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.53 # Starting sh5l with 300s (1) cores
% 0.21/0.53 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 2307 completed with status 0
% 0.21/0.53 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.21/0.53 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/0.53 # No SInE strategy applied
% 0.21/0.53 # Search class: FHUNM-FFSF21-DFFFFFNN
% 0.21/0.53 # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.53 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 395s (1) cores
% 0.21/0.53 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 334s (1) cores
% 0.21/0.53 # Starting new_bool_3 with 329s (1) cores
% 0.21/0.53 # Starting new_bool_1 with 324s (1) cores
% 0.21/0.53 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 118s (1) cores
% 0.21/0.53 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 2311 completed with status 0
% 0.21/0.53 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.21/0.53 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/0.53 # No SInE strategy applied
% 0.21/0.53 # Search class: FHUNM-FFSF21-DFFFFFNN
% 0.21/0.53 # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.53 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 395s (1) cores
% 0.21/0.53 # Preprocessing time : 0.023 s
% 0.21/0.53
% 0.21/0.53 # Proof found!
% 0.21/0.53 # SZS status Unsatisfiable
% 0.21/0.53 # SZS output start CNFRefutation
% See solution above
% 0.21/0.53 # Parsed axioms : 11
% 0.21/0.53 # Removed by relevancy pruning/SinE : 0
% 0.21/0.53 # Initial clauses : 11
% 0.21/0.53 # Removed in clause preprocessing : 3
% 0.21/0.53 # Initial clauses in saturation : 8
% 0.21/0.53 # Processed clauses : 65
% 0.21/0.53 # ...of these trivial : 0
% 0.21/0.53 # ...subsumed : 23
% 0.21/0.53 # ...remaining for further processing : 42
% 0.21/0.53 # Other redundant clauses eliminated : 0
% 0.21/0.53 # Clauses deleted for lack of memory : 0
% 0.21/0.53 # Backward-subsumed : 1
% 0.21/0.53 # Backward-rewritten : 0
% 0.21/0.53 # Generated clauses : 130
% 0.21/0.53 # ...of the previous two non-redundant : 118
% 0.21/0.53 # ...aggressively subsumed : 0
% 0.21/0.53 # Contextual simplify-reflections : 0
% 0.21/0.53 # Paramodulations : 130
% 0.21/0.53 # Factorizations : 0
% 0.21/0.53 # NegExts : 0
% 0.21/0.53 # Equation resolutions : 0
% 0.21/0.53 # Disequality decompositions : 0
% 0.21/0.53 # Total rewrite steps : 2
% 0.21/0.53 # ...of those cached : 0
% 0.21/0.53 # Propositional unsat checks : 0
% 0.21/0.53 # Propositional check models : 0
% 0.21/0.53 # Propositional check unsatisfiable : 0
% 0.21/0.53 # Propositional clauses : 0
% 0.21/0.53 # Propositional clauses after purity: 0
% 0.21/0.53 # Propositional unsat core size : 0
% 0.21/0.53 # Propositional preprocessing time : 0.000
% 0.21/0.53 # Propositional encoding time : 0.000
% 0.21/0.53 # Propositional solver time : 0.000
% 0.21/0.53 # Success case prop preproc time : 0.000
% 0.21/0.53 # Success case prop encoding time : 0.000
% 0.21/0.53 # Success case prop solver time : 0.000
% 0.21/0.53 # Current number of processed clauses : 41
% 0.21/0.53 # Positive orientable unit clauses : 5
% 0.21/0.53 # Positive unorientable unit clauses: 0
% 0.21/0.53 # Negative unit clauses : 3
% 0.21/0.53 # Non-unit-clauses : 33
% 0.21/0.53 # Current number of unprocessed clauses: 61
% 0.21/0.53 # ...number of literals in the above : 147
% 0.21/0.53 # Current number of archived formulas : 0
% 0.21/0.53 # Current number of archived clauses : 4
% 0.21/0.53 # Clause-clause subsumption calls (NU) : 319
% 0.21/0.53 # Rec. Clause-clause subsumption calls : 319
% 0.21/0.53 # Non-unit clause-clause subsumptions : 23
% 0.21/0.53 # Unit Clause-clause subsumption calls : 2
% 0.21/0.53 # Rewrite failures with RHS unbound : 0
% 0.21/0.53 # BW rewrite match attempts : 7
% 0.21/0.53 # BW rewrite match successes : 0
% 0.21/0.53 # Condensation attempts : 0
% 0.21/0.53 # Condensation successes : 0
% 0.21/0.53 # Termbank termtop insertions : 1879
% 0.21/0.53 # Search garbage collected termcells : 11
% 0.21/0.53
% 0.21/0.53 # -------------------------------------------------
% 0.21/0.53 # User time : 0.028 s
% 0.21/0.53 # System time : 0.003 s
% 0.21/0.53 # Total time : 0.031 s
% 0.21/0.53 # Maximum resident set size: 1688 pages
% 0.21/0.53
% 0.21/0.53 # -------------------------------------------------
% 0.21/0.53 # User time : 0.135 s
% 0.21/0.53 # System time : 0.013 s
% 0.21/0.53 # Total time : 0.148 s
% 0.21/0.53 # Maximum resident set size: 1696 pages
% 0.21/0.53 % E---3.1 exiting
%------------------------------------------------------------------------------