TSTP Solution File: LCL234-3 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : LCL234-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n029.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 18:24:18 EDT 2023
% Result : Unsatisfiable 1.11s 0.70s
% Output : CNFRefutation 1.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 40 ( 24 unt; 0 nHn; 17 RR)
% Number of literals : 62 ( 4 equ; 25 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 79 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_2,axiom,
( theorem(X1)
| ~ theorem(implies(X2,X1))
| ~ theorem(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.Zl3RSZKpQk/E---3.1_26210.p',rule_2) ).
cnf(implies_definition,axiom,
implies(X1,X2) = or(not(X1),X2),
file('/export/starexec/sandbox2/tmp/tmp.Zl3RSZKpQk/E---3.1_26210.p',implies_definition) ).
cnf(rule_1,axiom,
( theorem(X1)
| ~ axiom(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.Zl3RSZKpQk/E---3.1_26210.p',rule_1) ).
cnf(axiom_1_6,axiom,
axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
file('/export/starexec/sandbox2/tmp/tmp.Zl3RSZKpQk/E---3.1_26210.p',axiom_1_6) ).
cnf(axiom_1_5,axiom,
axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
file('/export/starexec/sandbox2/tmp/tmp.Zl3RSZKpQk/E---3.1_26210.p',axiom_1_5) ).
cnf(axiom_1_2,axiom,
axiom(implies(or(X1,X1),X1)),
file('/export/starexec/sandbox2/tmp/tmp.Zl3RSZKpQk/E---3.1_26210.p',axiom_1_2) ).
cnf(axiom_1_4,axiom,
axiom(implies(or(X1,X2),or(X2,X1))),
file('/export/starexec/sandbox2/tmp/tmp.Zl3RSZKpQk/E---3.1_26210.p',axiom_1_4) ).
cnf(axiom_1_3,axiom,
axiom(implies(X1,or(X2,X1))),
file('/export/starexec/sandbox2/tmp/tmp.Zl3RSZKpQk/E---3.1_26210.p',axiom_1_3) ).
cnf(prove_this,negated_conjecture,
~ theorem(implies(p,implies(q,and(p,q)))),
file('/export/starexec/sandbox2/tmp/tmp.Zl3RSZKpQk/E---3.1_26210.p',prove_this) ).
cnf(and_defn,axiom,
and(X1,X2) = not(or(not(X1),not(X2))),
file('/export/starexec/sandbox2/tmp/tmp.Zl3RSZKpQk/E---3.1_26210.p',and_defn) ).
cnf(c_0_10,axiom,
( theorem(X1)
| ~ theorem(implies(X2,X1))
| ~ theorem(X2) ),
rule_2 ).
cnf(c_0_11,axiom,
implies(X1,X2) = or(not(X1),X2),
implies_definition ).
cnf(c_0_12,plain,
( theorem(X1)
| ~ theorem(X2)
| ~ theorem(or(not(X2),X1)) ),
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,axiom,
( theorem(X1)
| ~ axiom(X1) ),
rule_1 ).
cnf(c_0_14,axiom,
axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
axiom_1_6 ).
cnf(c_0_15,plain,
( theorem(X1)
| ~ theorem(X2)
| ~ axiom(or(not(X2),X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_11]),c_0_11]),c_0_11]) ).
cnf(c_0_17,axiom,
axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
axiom_1_5 ).
cnf(c_0_18,plain,
( theorem(or(not(or(X1,X2)),or(X1,X3)))
| ~ theorem(or(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,axiom,
axiom(implies(or(X1,X1),X1)),
axiom_1_2 ).
cnf(c_0_20,plain,
axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rw,[status(thm)],[c_0_17,c_0_11]) ).
cnf(c_0_21,plain,
( theorem(or(X1,X2))
| ~ theorem(or(not(X3),X2))
| ~ theorem(or(X1,X3)) ),
inference(spm,[status(thm)],[c_0_12,c_0_18]) ).
cnf(c_0_22,axiom,
axiom(implies(or(X1,X2),or(X2,X1))),
axiom_1_4 ).
cnf(c_0_23,plain,
axiom(or(not(or(X1,X1)),X1)),
inference(rw,[status(thm)],[c_0_19,c_0_11]) ).
cnf(c_0_24,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_15,c_0_20]) ).
cnf(c_0_25,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X1,X3))
| ~ axiom(or(not(X3),X2)) ),
inference(spm,[status(thm)],[c_0_21,c_0_13]) ).
cnf(c_0_26,plain,
axiom(or(not(or(X1,X2)),or(X2,X1))),
inference(rw,[status(thm)],[c_0_22,c_0_11]) ).
cnf(c_0_27,plain,
( theorem(X1)
| ~ theorem(or(X1,X1)) ),
inference(spm,[status(thm)],[c_0_15,c_0_23]) ).
cnf(c_0_28,plain,
( theorem(or(X1,or(X2,X3)))
| ~ axiom(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_24,c_0_13]) ).
cnf(c_0_29,axiom,
axiom(implies(X1,or(X2,X1))),
axiom_1_3 ).
cnf(c_0_30,negated_conjecture,
~ theorem(implies(p,implies(q,and(p,q)))),
prove_this ).
cnf(c_0_31,axiom,
and(X1,X2) = not(or(not(X1),not(X2))),
and_defn ).
cnf(c_0_32,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X1,or(X3,X2))) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_33,plain,
( theorem(or(X1,or(not(or(X1,X2)),X3)))
| ~ theorem(or(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_24,c_0_18]) ).
cnf(c_0_34,plain,
( theorem(or(X1,X2))
| ~ axiom(or(X1,or(or(X1,X2),X2))) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_35,plain,
axiom(or(not(X1),or(X2,X1))),
inference(rw,[status(thm)],[c_0_29,c_0_11]) ).
cnf(c_0_36,negated_conjecture,
~ theorem(or(not(p),or(not(q),not(or(not(p),not(q)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_11]),c_0_11]),c_0_31]) ).
cnf(c_0_37,plain,
( theorem(or(X1,or(X2,not(or(X1,X3)))))
| ~ theorem(or(not(X3),X2)) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_38,plain,
theorem(or(not(X1),X1)),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : LCL234-3 : TPTP v8.1.2. Released v2.3.0.
% 0.13/0.15 % Command : run_E %s %d THM
% 0.14/0.37 % Computer : n029.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 2400
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Mon Oct 2 12:19:51 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.22/0.51 Running first-order model finding
% 0.22/0.51 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.Zl3RSZKpQk/E---3.1_26210.p
% 1.11/0.70 # Version: 3.1pre001
% 1.11/0.70 # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.11/0.70 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.11/0.70 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.11/0.70 # Starting new_bool_3 with 300s (1) cores
% 1.11/0.70 # Starting new_bool_1 with 300s (1) cores
% 1.11/0.70 # Starting sh5l with 300s (1) cores
% 1.11/0.70 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 26287 completed with status 0
% 1.11/0.70 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 1.11/0.70 # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.11/0.70 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.11/0.70 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.11/0.70 # No SInE strategy applied
% 1.11/0.70 # Search class: FHUNM-FFSF21-MFFFFFNN
% 1.11/0.70 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.11/0.70 # Starting G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with 811s (1) cores
% 1.11/0.70 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 1.11/0.70 # Starting new_bool_3 with 136s (1) cores
% 1.11/0.70 # Starting new_bool_1 with 136s (1) cores
% 1.11/0.70 # Starting C12_02_nc_SAT001_MinMin_p005000_rr with 136s (1) cores
% 1.11/0.70 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 26294 completed with status 0
% 1.11/0.70 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 1.11/0.70 # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.11/0.70 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.11/0.70 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.11/0.70 # No SInE strategy applied
% 1.11/0.70 # Search class: FHUNM-FFSF21-MFFFFFNN
% 1.11/0.70 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.11/0.70 # Starting G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with 811s (1) cores
% 1.11/0.70 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 1.11/0.70 # Preprocessing time : 0.005 s
% 1.11/0.70
% 1.11/0.70 # Proof found!
% 1.11/0.70 # SZS status Unsatisfiable
% 1.11/0.70 # SZS output start CNFRefutation
% See solution above
% 1.11/0.70 # Parsed axioms : 10
% 1.11/0.70 # Removed by relevancy pruning/SinE : 0
% 1.11/0.70 # Initial clauses : 10
% 1.11/0.70 # Removed in clause preprocessing : 2
% 1.11/0.70 # Initial clauses in saturation : 8
% 1.11/0.70 # Processed clauses : 1212
% 1.11/0.70 # ...of these trivial : 8
% 1.11/0.70 # ...subsumed : 769
% 1.11/0.70 # ...remaining for further processing : 435
% 1.11/0.70 # Other redundant clauses eliminated : 0
% 1.11/0.70 # Clauses deleted for lack of memory : 0
% 1.11/0.70 # Backward-subsumed : 5
% 1.11/0.70 # Backward-rewritten : 0
% 1.11/0.70 # Generated clauses : 9092
% 1.11/0.70 # ...of the previous two non-redundant : 8805
% 1.11/0.70 # ...aggressively subsumed : 0
% 1.11/0.70 # Contextual simplify-reflections : 0
% 1.11/0.70 # Paramodulations : 9092
% 1.11/0.70 # Factorizations : 0
% 1.11/0.70 # NegExts : 0
% 1.11/0.70 # Equation resolutions : 0
% 1.11/0.70 # Total rewrite steps : 175
% 1.11/0.70 # Propositional unsat checks : 0
% 1.11/0.70 # Propositional check models : 0
% 1.11/0.70 # Propositional check unsatisfiable : 0
% 1.11/0.70 # Propositional clauses : 0
% 1.11/0.70 # Propositional clauses after purity: 0
% 1.11/0.70 # Propositional unsat core size : 0
% 1.11/0.70 # Propositional preprocessing time : 0.000
% 1.11/0.70 # Propositional encoding time : 0.000
% 1.11/0.70 # Propositional solver time : 0.000
% 1.11/0.70 # Success case prop preproc time : 0.000
% 1.11/0.70 # Success case prop encoding time : 0.000
% 1.11/0.70 # Success case prop solver time : 0.000
% 1.11/0.70 # Current number of processed clauses : 430
% 1.11/0.70 # Positive orientable unit clauses : 26
% 1.11/0.70 # Positive unorientable unit clauses: 0
% 1.11/0.70 # Negative unit clauses : 26
% 1.11/0.70 # Non-unit-clauses : 378
% 1.11/0.70 # Current number of unprocessed clauses: 7532
% 1.11/0.70 # ...number of literals in the above : 23229
% 1.11/0.70 # Current number of archived formulas : 0
% 1.11/0.70 # Current number of archived clauses : 7
% 1.11/0.70 # Clause-clause subsumption calls (NU) : 28502
% 1.11/0.70 # Rec. Clause-clause subsumption calls : 25154
% 1.11/0.70 # Non-unit clause-clause subsumptions : 758
% 1.11/0.70 # Unit Clause-clause subsumption calls : 560
% 1.11/0.70 # Rewrite failures with RHS unbound : 0
% 1.11/0.70 # BW rewrite match attempts : 500
% 1.11/0.70 # BW rewrite match successes : 2
% 1.11/0.70 # Condensation attempts : 0
% 1.11/0.70 # Condensation successes : 0
% 1.11/0.70 # Termbank termtop insertions : 142098
% 1.11/0.70
% 1.11/0.70 # -------------------------------------------------
% 1.11/0.70 # User time : 0.159 s
% 1.11/0.70 # System time : 0.010 s
% 1.11/0.70 # Total time : 0.169 s
% 1.11/0.70 # Maximum resident set size: 1652 pages
% 1.11/0.70
% 1.11/0.70 # -------------------------------------------------
% 1.11/0.70 # User time : 0.643 s
% 1.11/0.70 # System time : 0.022 s
% 1.11/0.70 # Total time : 0.665 s
% 1.11/0.70 # Maximum resident set size: 1680 pages
% 1.11/0.70 % E---3.1 exiting
%------------------------------------------------------------------------------