TSTP Solution File: LCL246-3 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : LCL246-3 : TPTP v8.2.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n002.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 : Mon May 20 23:45:44 EDT 2024
% Result : Unsatisfiable 3.10s 0.89s
% Output : CNFRefutation 3.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of clauses : 47 ( 27 unt; 0 nHn; 25 RR)
% Number of literals : 74 ( 4 equ; 32 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; 2 con; 0-2 aty)
% Number of variables : 87 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_2,axiom,
( theorem(X1)
| ~ theorem(implies(X2,X1))
| ~ theorem(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_2) ).
cnf(implies_definition,axiom,
implies(X1,X2) = or(not(X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
cnf(rule_1,axiom,
( theorem(X1)
| ~ axiom(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_1) ).
cnf(axiom_1_6,axiom,
axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).
cnf(axiom_1_2,axiom,
axiom(implies(or(X1,X1),X1)),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).
cnf(axiom_1_4,axiom,
axiom(implies(or(X1,X2),or(X2,X1))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).
cnf(axiom_1_3,axiom,
axiom(implies(X1,or(X2,X1))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
cnf(axiom_1_5,axiom,
axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).
cnf(prove_this,negated_conjecture,
~ theorem(implies(and(p,implies(p,q)),q)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(and_defn,axiom,
and(X1,X2) = not(or(not(X1),not(X2))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-1.ax',and_defn) ).
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(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
axiom_1_6 ).
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(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_16,c_0_12]),c_0_12]),c_0_12]) ).
cnf(c_0_19,plain,
( theorem(or(not(or(X1,X2)),or(X1,X3)))
| ~ theorem(or(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,plain,
( theorem(or(X1,X2))
| ~ theorem(or(not(X3),X2))
| ~ theorem(or(X1,X3)) ),
inference(spm,[status(thm)],[c_0_14,c_0_19]) ).
cnf(c_0_21,axiom,
axiom(implies(or(X1,X1),X1)),
axiom_1_2 ).
cnf(c_0_22,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X1,X3))
| ~ axiom(or(not(X3),X2)) ),
inference(spm,[status(thm)],[c_0_20,c_0_15]) ).
cnf(c_0_23,plain,
axiom(or(not(or(X1,X1)),X1)),
inference(rw,[status(thm)],[c_0_21,c_0_12]) ).
cnf(c_0_24,axiom,
axiom(implies(or(X1,X2),or(X2,X1))),
axiom_1_4 ).
cnf(c_0_25,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X1,or(X2,X2))) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,axiom,
axiom(implies(X1,or(X2,X1))),
axiom_1_3 ).
cnf(c_0_27,plain,
axiom(or(not(or(X1,X2)),or(X2,X1))),
inference(rw,[status(thm)],[c_0_24,c_0_12]) ).
cnf(c_0_28,plain,
( theorem(or(X1,X2))
| ~ axiom(or(X1,or(X2,X2))) ),
inference(spm,[status(thm)],[c_0_25,c_0_15]) ).
cnf(c_0_29,plain,
axiom(or(not(X1),or(X2,X1))),
inference(rw,[status(thm)],[c_0_26,c_0_12]) ).
cnf(c_0_30,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_17,c_0_27]) ).
cnf(c_0_31,plain,
theorem(or(not(X1),X1)),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,axiom,
axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
axiom_1_5 ).
cnf(c_0_33,negated_conjecture,
~ theorem(implies(and(p,implies(p,q)),q)),
inference(fof_simplification,[status(thm)],[prove_this]) ).
cnf(c_0_34,plain,
theorem(or(X1,not(X1))),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,plain,
axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rw,[status(thm)],[c_0_32,c_0_12]) ).
cnf(c_0_36,negated_conjecture,
~ theorem(implies(and(p,implies(p,q)),q)),
c_0_33 ).
cnf(c_0_37,axiom,
and(X1,X2) = not(or(not(X1),not(X2))),
and_defn ).
cnf(c_0_38,plain,
( theorem(or(X1,not(not(X2))))
| ~ theorem(or(X1,X2)) ),
inference(spm,[status(thm)],[c_0_20,c_0_34]) ).
cnf(c_0_39,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_17,c_0_35]) ).
cnf(c_0_40,negated_conjecture,
~ theorem(or(not(not(or(not(p),not(or(not(p),q))))),q)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_12]),c_0_12]),c_0_37]) ).
cnf(c_0_41,plain,
( theorem(or(not(not(X1)),X2))
| ~ theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_30,c_0_38]) ).
cnf(c_0_42,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X1,or(X3,X2))) ),
inference(spm,[status(thm)],[c_0_22,c_0_27]) ).
cnf(c_0_43,plain,
( theorem(or(X1,or(X2,X3)))
| ~ axiom(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_39,c_0_15]) ).
cnf(c_0_44,negated_conjecture,
~ theorem(or(q,or(not(p),not(or(not(p),q))))),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,plain,
( theorem(or(X1,or(X2,X3)))
| ~ axiom(or(X3,or(X1,X2))) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_46,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL246-3 : TPTP v8.2.0. Released v2.3.0.
% 0.12/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon May 20 01:24:22 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.19/0.48 Running first-order theorem proving
% 0.19/0.48 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/benchmark/theBenchmark.p
% 3.10/0.89 # Version: 3.1.0
% 3.10/0.89 # Preprocessing class: FSSSSMSSSSSNFFN.
% 3.10/0.89 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.10/0.89 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 3.10/0.89 # Starting new_bool_3 with 300s (1) cores
% 3.10/0.89 # Starting new_bool_1 with 300s (1) cores
% 3.10/0.89 # Starting sh5l with 300s (1) cores
% 3.10/0.89 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 13963 completed with status 0
% 3.10/0.89 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 3.10/0.89 # Preprocessing class: FSSSSMSSSSSNFFN.
% 3.10/0.89 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.10/0.89 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 3.10/0.89 # No SInE strategy applied
% 3.10/0.89 # Search class: FHUNM-FFSF21-DFFFFFNN
% 3.10/0.89 # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 3.10/0.89 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 395s (1) cores
% 3.10/0.89 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 334s (1) cores
% 3.10/0.89 # Starting new_bool_3 with 329s (1) cores
% 3.10/0.89 # Starting new_bool_1 with 324s (1) cores
% 3.10/0.89 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 118s (1) cores
% 3.10/0.89 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 13970 completed with status 0
% 3.10/0.89 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 3.10/0.89 # Preprocessing class: FSSSSMSSSSSNFFN.
% 3.10/0.89 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.10/0.89 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 3.10/0.89 # No SInE strategy applied
% 3.10/0.89 # Search class: FHUNM-FFSF21-DFFFFFNN
% 3.10/0.89 # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 3.10/0.89 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 395s (1) cores
% 3.10/0.89 # Preprocessing time : 0.004 s
% 3.10/0.89
% 3.10/0.89 # Proof found!
% 3.10/0.89 # SZS status Unsatisfiable
% 3.10/0.89 # SZS output start CNFRefutation
% See solution above
% 3.10/0.89 # Parsed axioms : 10
% 3.10/0.89 # Removed by relevancy pruning/SinE : 0
% 3.10/0.89 # Initial clauses : 10
% 3.10/0.89 # Removed in clause preprocessing : 2
% 3.10/0.89 # Initial clauses in saturation : 8
% 3.10/0.89 # Processed clauses : 2004
% 3.10/0.89 # ...of these trivial : 25
% 3.10/0.89 # ...subsumed : 1319
% 3.10/0.89 # ...remaining for further processing : 660
% 3.10/0.89 # Other redundant clauses eliminated : 0
% 3.10/0.89 # Clauses deleted for lack of memory : 0
% 3.10/0.89 # Backward-subsumed : 9
% 3.10/0.89 # Backward-rewritten : 0
% 3.10/0.89 # Generated clauses : 20648
% 3.10/0.89 # ...of the previous two non-redundant : 19976
% 3.10/0.89 # ...aggressively subsumed : 0
% 3.10/0.89 # Contextual simplify-reflections : 0
% 3.10/0.89 # Paramodulations : 20648
% 3.10/0.89 # Factorizations : 0
% 3.10/0.89 # NegExts : 0
% 3.10/0.89 # Equation resolutions : 0
% 3.10/0.89 # Disequality decompositions : 0
% 3.10/0.89 # Total rewrite steps : 384
% 3.10/0.89 # ...of those cached : 306
% 3.10/0.89 # Propositional unsat checks : 0
% 3.10/0.89 # Propositional check models : 0
% 3.10/0.89 # Propositional check unsatisfiable : 0
% 3.10/0.89 # Propositional clauses : 0
% 3.10/0.89 # Propositional clauses after purity: 0
% 3.10/0.89 # Propositional unsat core size : 0
% 3.10/0.89 # Propositional preprocessing time : 0.000
% 3.10/0.89 # Propositional encoding time : 0.000
% 3.10/0.89 # Propositional solver time : 0.000
% 3.10/0.89 # Success case prop preproc time : 0.000
% 3.10/0.89 # Success case prop encoding time : 0.000
% 3.10/0.89 # Success case prop solver time : 0.000
% 3.10/0.89 # Current number of processed clauses : 651
% 3.10/0.89 # Positive orientable unit clauses : 36
% 3.10/0.89 # Positive unorientable unit clauses: 0
% 3.10/0.89 # Negative unit clauses : 39
% 3.10/0.89 # Non-unit-clauses : 576
% 3.10/0.89 # Current number of unprocessed clauses: 17946
% 3.10/0.89 # ...number of literals in the above : 55451
% 3.10/0.89 # Current number of archived formulas : 0
% 3.10/0.89 # Current number of archived clauses : 11
% 3.10/0.89 # Clause-clause subsumption calls (NU) : 62208
% 3.10/0.89 # Rec. Clause-clause subsumption calls : 54882
% 3.10/0.89 # Non-unit clause-clause subsumptions : 1286
% 3.10/0.89 # Unit Clause-clause subsumption calls : 1073
% 3.10/0.89 # Rewrite failures with RHS unbound : 0
% 3.10/0.89 # BW rewrite match attempts : 902
% 3.10/0.89 # BW rewrite match successes : 2
% 3.10/0.89 # Condensation attempts : 0
% 3.10/0.89 # Condensation successes : 0
% 3.10/0.89 # Termbank termtop insertions : 329631
% 3.10/0.89 # Search garbage collected termcells : 11
% 3.10/0.89
% 3.10/0.89 # -------------------------------------------------
% 3.10/0.89 # User time : 0.373 s
% 3.10/0.89 # System time : 0.017 s
% 3.10/0.89 # Total time : 0.390 s
% 3.10/0.89 # Maximum resident set size: 1656 pages
% 3.10/0.89
% 3.10/0.89 # -------------------------------------------------
% 3.10/0.89 # User time : 1.883 s
% 3.10/0.89 # System time : 0.045 s
% 3.10/0.89 # Total time : 1.928 s
% 3.10/0.89 # Maximum resident set size: 1708 pages
% 3.10/0.89 % E---3.1 exiting
% 3.10/0.89 % E exiting
%------------------------------------------------------------------------------