TSTP Solution File: LCL323-3 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LCL323-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n004.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 18:12:24 EDT 2023
% Result : Unsatisfiable 0.43s 0.68s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 9
% Syntax : Number of clauses : 57 ( 32 unt; 0 nHn; 24 RR)
% Number of literals : 89 ( 2 equ; 36 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 111 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_2,axiom,
( theorem(X1)
| ~ theorem(implies(X2,X1))
| ~ theorem(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.HhSTJe7V7A/E---3.1_3511.p',rule_2) ).
cnf(implies_definition,axiom,
implies(X1,X2) = or(not(X1),X2),
file('/export/starexec/sandbox2/tmp/tmp.HhSTJe7V7A/E---3.1_3511.p',implies_definition) ).
cnf(rule_1,axiom,
( theorem(X1)
| ~ axiom(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.HhSTJe7V7A/E---3.1_3511.p',rule_1) ).
cnf(axiom_1_5,axiom,
axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
file('/export/starexec/sandbox2/tmp/tmp.HhSTJe7V7A/E---3.1_3511.p',axiom_1_5) ).
cnf(axiom_1_3,axiom,
axiom(implies(X1,or(X2,X1))),
file('/export/starexec/sandbox2/tmp/tmp.HhSTJe7V7A/E---3.1_3511.p',axiom_1_3) ).
cnf(axiom_1_6,axiom,
axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
file('/export/starexec/sandbox2/tmp/tmp.HhSTJe7V7A/E---3.1_3511.p',axiom_1_6) ).
cnf(axiom_1_4,axiom,
axiom(implies(or(X1,X2),or(X2,X1))),
file('/export/starexec/sandbox2/tmp/tmp.HhSTJe7V7A/E---3.1_3511.p',axiom_1_4) ).
cnf(axiom_1_2,axiom,
axiom(implies(or(X1,X1),X1)),
file('/export/starexec/sandbox2/tmp/tmp.HhSTJe7V7A/E---3.1_3511.p',axiom_1_2) ).
cnf(prove_this,negated_conjecture,
~ theorem(or(implies(p,q),implies(q,r))),
file('/export/starexec/sandbox2/tmp/tmp.HhSTJe7V7A/E---3.1_3511.p',prove_this) ).
cnf(c_0_9,axiom,
( theorem(X1)
| ~ theorem(implies(X2,X1))
| ~ theorem(X2) ),
rule_2 ).
cnf(c_0_10,axiom,
implies(X1,X2) = or(not(X1),X2),
implies_definition ).
cnf(c_0_11,plain,
( theorem(X1)
| ~ theorem(X2)
| ~ theorem(or(not(X2),X1)) ),
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,axiom,
( theorem(X1)
| ~ axiom(X1) ),
rule_1 ).
cnf(c_0_13,axiom,
axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
axiom_1_5 ).
cnf(c_0_14,plain,
( theorem(X1)
| ~ theorem(X2)
| ~ axiom(or(not(X2),X1)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rw,[status(thm)],[c_0_13,c_0_10]) ).
cnf(c_0_16,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,plain,
( theorem(or(X1,or(X2,X3)))
| ~ axiom(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_16,c_0_12]) ).
cnf(c_0_18,axiom,
axiom(implies(X1,or(X2,X1))),
axiom_1_3 ).
cnf(c_0_19,plain,
( theorem(or(X1,X2))
| ~ theorem(X3)
| ~ axiom(or(X1,or(not(X3),X2))) ),
inference(spm,[status(thm)],[c_0_11,c_0_17]) ).
cnf(c_0_20,plain,
axiom(or(not(X1),or(X2,X1))),
inference(rw,[status(thm)],[c_0_18,c_0_10]) ).
cnf(c_0_21,axiom,
axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
axiom_1_6 ).
cnf(c_0_22,axiom,
axiom(implies(or(X1,X2),or(X2,X1))),
axiom_1_4 ).
cnf(c_0_23,plain,
( theorem(or(not(X1),X1))
| ~ theorem(X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,axiom,
axiom(implies(or(X1,X1),X1)),
axiom_1_2 ).
cnf(c_0_25,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_21,c_0_10]),c_0_10]),c_0_10]) ).
cnf(c_0_26,plain,
axiom(or(not(or(X1,X2)),or(X2,X1))),
inference(rw,[status(thm)],[c_0_22,c_0_10]) ).
cnf(c_0_27,plain,
( theorem(or(not(X1),X1))
| ~ axiom(X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_12]) ).
cnf(c_0_28,plain,
axiom(or(not(or(X1,X1)),X1)),
inference(rw,[status(thm)],[c_0_24,c_0_10]) ).
cnf(c_0_29,plain,
( theorem(or(X1,X2))
| ~ theorem(X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_20]) ).
cnf(c_0_30,plain,
( theorem(or(not(or(X1,X2)),or(X1,X3)))
| ~ theorem(or(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_14,c_0_25]) ).
cnf(c_0_31,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_14,c_0_26]) ).
cnf(c_0_32,plain,
theorem(or(not(X1),X1)),
inference(spm,[status(thm)],[c_0_27,c_0_20]) ).
cnf(c_0_33,plain,
( theorem(X1)
| ~ theorem(or(X1,X1)) ),
inference(spm,[status(thm)],[c_0_14,c_0_28]) ).
cnf(c_0_34,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X1,X3)) ),
inference(spm,[status(thm)],[c_0_16,c_0_29]) ).
cnf(c_0_35,plain,
( theorem(or(X1,X2))
| ~ theorem(or(not(X3),X2))
| ~ theorem(or(X1,X3)) ),
inference(spm,[status(thm)],[c_0_11,c_0_30]) ).
cnf(c_0_36,plain,
theorem(or(X1,not(X1))),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,plain,
( theorem(or(X1,X2))
| ~ theorem(or(or(X1,X2),X2)) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,plain,
( theorem(or(X1,not(not(X2))))
| ~ theorem(or(X1,X2)) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_39,plain,
( theorem(or(X1,or(X2,X3)))
| ~ axiom(or(X2,or(or(X1,or(X2,X3)),X3))) ),
inference(spm,[status(thm)],[c_0_37,c_0_17]) ).
cnf(c_0_40,plain,
( theorem(or(not(not(X1)),X2))
| ~ theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_31,c_0_38]) ).
cnf(c_0_41,plain,
theorem(or(X1,or(not(X2),X2))),
inference(spm,[status(thm)],[c_0_39,c_0_20]) ).
cnf(c_0_42,plain,
theorem(or(not(not(not(X1))),X1)),
inference(spm,[status(thm)],[c_0_40,c_0_36]) ).
cnf(c_0_43,plain,
theorem(or(not(X1),or(X2,X1))),
inference(spm,[status(thm)],[c_0_16,c_0_41]) ).
cnf(c_0_44,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X1,not(not(X2)))) ),
inference(spm,[status(thm)],[c_0_35,c_0_42]) ).
cnf(c_0_45,plain,
theorem(or(or(X1,X2),not(X2))),
inference(spm,[status(thm)],[c_0_31,c_0_43]) ).
cnf(c_0_46,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X1,X3))
| ~ axiom(or(not(X3),X2)) ),
inference(spm,[status(thm)],[c_0_35,c_0_12]) ).
cnf(c_0_47,plain,
theorem(or(or(X1,not(X2)),X2)),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_48,negated_conjecture,
~ theorem(or(implies(p,q),implies(q,r))),
prove_this ).
cnf(c_0_49,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X1,or(X3,X2))) ),
inference(spm,[status(thm)],[c_0_46,c_0_26]) ).
cnf(c_0_50,plain,
theorem(or(X1,or(X2,not(X1)))),
inference(spm,[status(thm)],[c_0_31,c_0_47]) ).
cnf(c_0_51,negated_conjecture,
~ theorem(or(or(not(p),q),or(not(q),r))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_10]),c_0_10]) ).
cnf(c_0_52,plain,
( theorem(or(or(X1,X2),X3))
| ~ theorem(or(X3,X2)) ),
inference(spm,[status(thm)],[c_0_31,c_0_34]) ).
cnf(c_0_53,plain,
theorem(or(X1,or(not(X1),X2))),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,negated_conjecture,
~ theorem(or(or(not(q),r),q)),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_55,plain,
theorem(or(or(not(X1),X2),X1)),
inference(spm,[status(thm)],[c_0_31,c_0_53]) ).
cnf(c_0_56,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_55])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : LCL323-3 : TPTP v8.1.2. Released v2.3.0.
% 0.07/0.15 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 2400
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Oct 2 11:58:15 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 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.HhSTJe7V7A/E---3.1_3511.p
% 0.43/0.68 # Version: 3.1pre001
% 0.43/0.68 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.43/0.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.68 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.43/0.68 # Starting new_bool_3 with 300s (1) cores
% 0.43/0.68 # Starting new_bool_1 with 300s (1) cores
% 0.43/0.68 # Starting sh5l with 300s (1) cores
% 0.43/0.68 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 3591 completed with status 0
% 0.43/0.68 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.43/0.68 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.43/0.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.68 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.43/0.68 # No SInE strategy applied
% 0.43/0.68 # Search class: FHUNM-FFSF21-MFFFFFNN
% 0.43/0.68 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.43/0.68 # Starting G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with 811s (1) cores
% 0.43/0.68 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.43/0.68 # Starting new_bool_3 with 136s (1) cores
% 0.43/0.68 # Starting new_bool_1 with 136s (1) cores
% 0.43/0.68 # Starting C12_02_nc_SAT001_MinMin_p005000_rr with 136s (1) cores
% 0.43/0.68 # C12_02_nc_SAT001_MinMin_p005000_rr with pid 3602 completed with status 0
% 0.43/0.68 # Result found by C12_02_nc_SAT001_MinMin_p005000_rr
% 0.43/0.68 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.43/0.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.68 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.43/0.68 # No SInE strategy applied
% 0.43/0.68 # Search class: FHUNM-FFSF21-MFFFFFNN
% 0.43/0.68 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.43/0.68 # Starting G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with 811s (1) cores
% 0.43/0.68 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.43/0.68 # Starting new_bool_3 with 136s (1) cores
% 0.43/0.68 # Starting new_bool_1 with 136s (1) cores
% 0.43/0.68 # Starting C12_02_nc_SAT001_MinMin_p005000_rr with 136s (1) cores
% 0.43/0.68 # Preprocessing time : 0.001 s
% 0.43/0.68 # Presaturation interreduction done
% 0.43/0.68
% 0.43/0.68 # Proof found!
% 0.43/0.68 # SZS status Unsatisfiable
% 0.43/0.68 # SZS output start CNFRefutation
% See solution above
% 0.43/0.68 # Parsed axioms : 9
% 0.43/0.68 # Removed by relevancy pruning/SinE : 0
% 0.43/0.68 # Initial clauses : 9
% 0.43/0.68 # Removed in clause preprocessing : 1
% 0.43/0.68 # Initial clauses in saturation : 8
% 0.43/0.68 # Processed clauses : 2410
% 0.43/0.68 # ...of these trivial : 11
% 0.43/0.68 # ...subsumed : 1563
% 0.43/0.68 # ...remaining for further processing : 836
% 0.43/0.68 # Other redundant clauses eliminated : 0
% 0.43/0.68 # Clauses deleted for lack of memory : 0
% 0.43/0.68 # Backward-subsumed : 2
% 0.43/0.68 # Backward-rewritten : 4
% 0.43/0.68 # Generated clauses : 8416
% 0.43/0.68 # ...of the previous two non-redundant : 8128
% 0.43/0.68 # ...aggressively subsumed : 0
% 0.43/0.68 # Contextual simplify-reflections : 0
% 0.43/0.68 # Paramodulations : 8416
% 0.43/0.68 # Factorizations : 0
% 0.43/0.68 # NegExts : 0
% 0.43/0.68 # Equation resolutions : 0
% 0.43/0.68 # Total rewrite steps : 201
% 0.43/0.68 # Propositional unsat checks : 0
% 0.43/0.68 # Propositional check models : 0
% 0.43/0.68 # Propositional check unsatisfiable : 0
% 0.43/0.68 # Propositional clauses : 0
% 0.43/0.68 # Propositional clauses after purity: 0
% 0.43/0.68 # Propositional unsat core size : 0
% 0.43/0.68 # Propositional preprocessing time : 0.000
% 0.43/0.68 # Propositional encoding time : 0.000
% 0.43/0.68 # Propositional solver time : 0.000
% 0.43/0.68 # Success case prop preproc time : 0.000
% 0.43/0.68 # Success case prop encoding time : 0.000
% 0.43/0.68 # Success case prop solver time : 0.000
% 0.43/0.68 # Current number of processed clauses : 822
% 0.43/0.68 # Positive orientable unit clauses : 44
% 0.43/0.68 # Positive unorientable unit clauses: 0
% 0.43/0.68 # Negative unit clauses : 290
% 0.43/0.68 # Non-unit-clauses : 488
% 0.43/0.68 # Current number of unprocessed clauses: 5672
% 0.43/0.68 # ...number of literals in the above : 13769
% 0.43/0.68 # Current number of archived formulas : 0
% 0.43/0.68 # Current number of archived clauses : 15
% 0.43/0.68 # Clause-clause subsumption calls (NU) : 33062
% 0.43/0.68 # Rec. Clause-clause subsumption calls : 33062
% 0.43/0.68 # Non-unit clause-clause subsumptions : 1142
% 0.43/0.68 # Unit Clause-clause subsumption calls : 2970
% 0.43/0.68 # Rewrite failures with RHS unbound : 0
% 0.43/0.68 # BW rewrite match attempts : 672
% 0.43/0.68 # BW rewrite match successes : 3
% 0.43/0.68 # Condensation attempts : 0
% 0.43/0.68 # Condensation successes : 0
% 0.43/0.68 # Termbank termtop insertions : 152119
% 0.43/0.68
% 0.43/0.68 # -------------------------------------------------
% 0.43/0.68 # User time : 0.141 s
% 0.43/0.68 # System time : 0.010 s
% 0.43/0.68 # Total time : 0.151 s
% 0.43/0.68 # Maximum resident set size: 1648 pages
% 0.43/0.68
% 0.43/0.68 # -------------------------------------------------
% 0.43/0.68 # User time : 0.743 s
% 0.43/0.68 # System time : 0.023 s
% 0.43/0.68 # Total time : 0.767 s
% 0.43/0.68 # Maximum resident set size: 1680 pages
% 0.43/0.68 % E---3.1 exiting
% 0.43/0.68 % E---3.1 exiting
%------------------------------------------------------------------------------