TSTP Solution File: LCL276-3 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : LCL276-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n023.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 18:24:27 EDT 2023
% Result : Unsatisfiable 2.39s 0.81s
% Output : CNFRefutation 2.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of clauses : 53 ( 29 unt; 0 nHn; 25 RR)
% Number of literals : 88 ( 7 equ; 40 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 : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 110 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_2,axiom,
( theorem(X1)
| ~ theorem(implies(X2,X1))
| ~ theorem(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.iA6TFbcFKz/E---3.1_9823.p',rule_2) ).
cnf(implies_definition,axiom,
implies(X1,X2) = or(not(X1),X2),
file('/export/starexec/sandbox2/tmp/tmp.iA6TFbcFKz/E---3.1_9823.p',implies_definition) ).
cnf(rule_1,axiom,
( theorem(X1)
| ~ axiom(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.iA6TFbcFKz/E---3.1_9823.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.iA6TFbcFKz/E---3.1_9823.p',axiom_1_5) ).
cnf(axiom_1_6,axiom,
axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
file('/export/starexec/sandbox2/tmp/tmp.iA6TFbcFKz/E---3.1_9823.p',axiom_1_6) ).
cnf(axiom_1_4,axiom,
axiom(implies(or(X1,X2),or(X2,X1))),
file('/export/starexec/sandbox2/tmp/tmp.iA6TFbcFKz/E---3.1_9823.p',axiom_1_4) ).
cnf(axiom_1_2,axiom,
axiom(implies(or(X1,X1),X1)),
file('/export/starexec/sandbox2/tmp/tmp.iA6TFbcFKz/E---3.1_9823.p',axiom_1_2) ).
cnf(equivalent_defn,axiom,
equivalent(X1,X2) = and(implies(X1,X2),implies(X2,X1)),
file('/export/starexec/sandbox2/tmp/tmp.iA6TFbcFKz/E---3.1_9823.p',equivalent_defn) ).
cnf(and_defn,axiom,
and(X1,X2) = not(or(not(X1),not(X2))),
file('/export/starexec/sandbox2/tmp/tmp.iA6TFbcFKz/E---3.1_9823.p',and_defn) ).
cnf(axiom_1_3,axiom,
axiom(implies(X1,or(X2,X1))),
file('/export/starexec/sandbox2/tmp/tmp.iA6TFbcFKz/E---3.1_9823.p',axiom_1_3) ).
cnf(prove_this,negated_conjecture,
~ theorem(equivalent(or(r,or(p,q)),or(p,or(q,r)))),
file('/export/starexec/sandbox2/tmp/tmp.iA6TFbcFKz/E---3.1_9823.p',prove_this) ).
cnf(c_0_11,axiom,
( theorem(X1)
| ~ theorem(implies(X2,X1))
| ~ theorem(X2) ),
rule_2 ).
cnf(c_0_12,axiom,
implies(X1,X2) = or(not(X1),X2),
implies_definition ).
cnf(c_0_13,plain,
( theorem(X1)
| ~ theorem(X2)
| ~ theorem(or(not(X2),X1)) ),
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,axiom,
( theorem(X1)
| ~ axiom(X1) ),
rule_1 ).
cnf(c_0_15,axiom,
axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
axiom_1_5 ).
cnf(c_0_16,plain,
( theorem(X1)
| ~ theorem(X2)
| ~ axiom(or(not(X2),X1)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,plain,
axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rw,[status(thm)],[c_0_15,c_0_12]) ).
cnf(c_0_18,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,axiom,
axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
axiom_1_6 ).
cnf(c_0_20,plain,
( theorem(or(X1,or(X2,X3)))
| ~ axiom(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_18,c_0_14]) ).
cnf(c_0_21,axiom,
axiom(implies(or(X1,X2),or(X2,X1))),
axiom_1_4 ).
cnf(c_0_22,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_19,c_0_12]),c_0_12]),c_0_12]) ).
cnf(c_0_23,axiom,
axiom(implies(or(X1,X1),X1)),
axiom_1_2 ).
cnf(c_0_24,plain,
( theorem(or(X1,X2))
| ~ theorem(X3)
| ~ axiom(or(X1,or(not(X3),X2))) ),
inference(spm,[status(thm)],[c_0_13,c_0_20]) ).
cnf(c_0_25,plain,
axiom(or(not(or(X1,X2)),or(X2,X1))),
inference(rw,[status(thm)],[c_0_21,c_0_12]) ).
cnf(c_0_26,plain,
( theorem(or(not(or(X1,X2)),or(X1,X3)))
| ~ theorem(or(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_16,c_0_22]) ).
cnf(c_0_27,plain,
axiom(or(not(or(X1,X1)),X1)),
inference(rw,[status(thm)],[c_0_23,c_0_12]) ).
cnf(c_0_28,axiom,
equivalent(X1,X2) = and(implies(X1,X2),implies(X2,X1)),
equivalent_defn ).
cnf(c_0_29,axiom,
and(X1,X2) = not(or(not(X1),not(X2))),
and_defn ).
cnf(c_0_30,plain,
( theorem(or(not(or(X1,not(X2))),X1))
| ~ theorem(X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,plain,
( theorem(or(X1,X2))
| ~ theorem(or(not(X3),X2))
| ~ theorem(or(X1,X3)) ),
inference(spm,[status(thm)],[c_0_13,c_0_26]) ).
cnf(c_0_32,plain,
( theorem(X1)
| ~ theorem(or(X1,X1)) ),
inference(spm,[status(thm)],[c_0_16,c_0_27]) ).
cnf(c_0_33,axiom,
axiom(implies(X1,or(X2,X1))),
axiom_1_3 ).
cnf(c_0_34,negated_conjecture,
~ theorem(equivalent(or(r,or(p,q)),or(p,or(q,r)))),
prove_this ).
cnf(c_0_35,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_28,c_0_12]),c_0_12]),c_0_29]) ).
cnf(c_0_36,plain,
( theorem(X1)
| ~ theorem(or(X1,not(X2)))
| ~ theorem(X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_30]) ).
cnf(c_0_37,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X1,X3))
| ~ axiom(or(not(X3),X2)) ),
inference(spm,[status(thm)],[c_0_31,c_0_14]) ).
cnf(c_0_38,plain,
( theorem(or(X1,X2))
| ~ axiom(or(X1,or(or(X1,X2),X2))) ),
inference(spm,[status(thm)],[c_0_32,c_0_20]) ).
cnf(c_0_39,plain,
axiom(or(not(X1),or(X2,X1))),
inference(rw,[status(thm)],[c_0_33,c_0_12]) ).
cnf(c_0_40,negated_conjecture,
~ theorem(not(or(not(or(not(or(r,or(p,q))),or(p,or(q,r)))),not(or(not(or(p,or(q,r))),or(r,or(p,q))))))),
inference(rw,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,plain,
( theorem(not(or(not(X1),not(X2))))
| ~ theorem(X1)
| ~ theorem(X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_30]) ).
cnf(c_0_42,plain,
( theorem(or(X1,or(X2,or(X3,X4))))
| ~ theorem(or(X1,or(X3,or(X2,X4)))) ),
inference(spm,[status(thm)],[c_0_37,c_0_17]) ).
cnf(c_0_43,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X1,or(X3,X2))) ),
inference(spm,[status(thm)],[c_0_37,c_0_25]) ).
cnf(c_0_44,plain,
theorem(or(not(X1),X1)),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X1,or(X2,X4)))
| ~ theorem(or(not(X4),X3)) ),
inference(spm,[status(thm)],[c_0_31,c_0_26]) ).
cnf(c_0_46,negated_conjecture,
( ~ theorem(or(not(or(r,or(p,q))),or(p,or(q,r))))
| ~ theorem(or(not(or(p,or(q,r))),or(r,or(p,q)))) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_47,plain,
( theorem(or(not(or(X1,X2)),or(X3,or(X1,X4))))
| ~ theorem(or(not(X2),or(X3,X4))) ),
inference(spm,[status(thm)],[c_0_42,c_0_26]) ).
cnf(c_0_48,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(not(X4),X3))
| ~ axiom(or(X1,or(X2,X4))) ),
inference(spm,[status(thm)],[c_0_45,c_0_14]) ).
cnf(c_0_50,negated_conjecture,
~ theorem(or(not(or(r,or(p,q))),or(p,or(q,r)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]) ).
cnf(c_0_51,plain,
( theorem(or(not(or(X1,or(X2,X3))),or(X2,X4)))
| ~ theorem(or(not(or(X1,X3)),X4)) ),
inference(spm,[status(thm)],[c_0_49,c_0_17]) ).
cnf(c_0_52,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_48])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL276-3 : TPTP v8.1.2. Released v2.3.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n023.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 : 2400
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Oct 2 12:40:22 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order model finding
% 0.21/0.48 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.iA6TFbcFKz/E---3.1_9823.p
% 2.39/0.81 # Version: 3.1pre001
% 2.39/0.81 # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.39/0.81 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.39/0.81 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.39/0.81 # Starting new_bool_3 with 300s (1) cores
% 2.39/0.81 # Starting new_bool_1 with 300s (1) cores
% 2.39/0.81 # Starting sh5l with 300s (1) cores
% 2.39/0.81 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 9900 completed with status 0
% 2.39/0.81 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 2.39/0.81 # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.39/0.81 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.39/0.81 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.39/0.81 # No SInE strategy applied
% 2.39/0.81 # Search class: FHUNM-FFSF21-DFFFFFNN
% 2.39/0.81 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.39/0.81 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 355s (1) cores
% 2.39/0.81 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.39/0.81 # Starting new_bool_3 with 296s (1) cores
% 2.39/0.81 # Starting new_bool_1 with 291s (1) cores
% 2.39/0.81 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 2.39/0.81 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 9905 completed with status 0
% 2.39/0.81 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 2.39/0.81 # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.39/0.81 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.39/0.81 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.39/0.81 # No SInE strategy applied
% 2.39/0.81 # Search class: FHUNM-FFSF21-DFFFFFNN
% 2.39/0.81 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.39/0.81 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 355s (1) cores
% 2.39/0.81 # Preprocessing time : 0.040 s
% 2.39/0.81
% 2.39/0.81 # Proof found!
% 2.39/0.81 # SZS status Unsatisfiable
% 2.39/0.81 # SZS output start CNFRefutation
% See solution above
% 2.39/0.81 # Parsed axioms : 11
% 2.39/0.81 # Removed by relevancy pruning/SinE : 0
% 2.39/0.81 # Initial clauses : 11
% 2.39/0.81 # Removed in clause preprocessing : 3
% 2.39/0.81 # Initial clauses in saturation : 8
% 2.39/0.81 # Processed clauses : 2124
% 2.39/0.81 # ...of these trivial : 0
% 2.39/0.81 # ...subsumed : 988
% 2.39/0.81 # ...remaining for further processing : 1136
% 2.39/0.81 # Other redundant clauses eliminated : 0
% 2.39/0.81 # Clauses deleted for lack of memory : 0
% 2.39/0.81 # Backward-subsumed : 585
% 2.39/0.81 # Backward-rewritten : 0
% 2.39/0.81 # Generated clauses : 13270
% 2.39/0.81 # ...of the previous two non-redundant : 13205
% 2.39/0.81 # ...aggressively subsumed : 0
% 2.39/0.81 # Contextual simplify-reflections : 17
% 2.39/0.81 # Paramodulations : 13270
% 2.39/0.81 # Factorizations : 0
% 2.39/0.81 # NegExts : 0
% 2.39/0.81 # Equation resolutions : 0
% 2.39/0.81 # Total rewrite steps : 15
% 2.39/0.81 # Propositional unsat checks : 0
% 2.39/0.81 # Propositional check models : 0
% 2.39/0.81 # Propositional check unsatisfiable : 0
% 2.39/0.81 # Propositional clauses : 0
% 2.39/0.81 # Propositional clauses after purity: 0
% 2.39/0.81 # Propositional unsat core size : 0
% 2.39/0.81 # Propositional preprocessing time : 0.000
% 2.39/0.81 # Propositional encoding time : 0.000
% 2.39/0.81 # Propositional solver time : 0.000
% 2.39/0.81 # Success case prop preproc time : 0.000
% 2.39/0.81 # Success case prop encoding time : 0.000
% 2.39/0.81 # Success case prop solver time : 0.000
% 2.39/0.81 # Current number of processed clauses : 551
% 2.39/0.81 # Positive orientable unit clauses : 11
% 2.39/0.81 # Positive unorientable unit clauses: 0
% 2.39/0.81 # Negative unit clauses : 99
% 2.39/0.81 # Non-unit-clauses : 441
% 2.39/0.81 # Current number of unprocessed clauses: 10746
% 2.39/0.81 # ...number of literals in the above : 34900
% 2.39/0.81 # Current number of archived formulas : 0
% 2.39/0.81 # Current number of archived clauses : 588
% 2.39/0.81 # Clause-clause subsumption calls (NU) : 88765
% 2.39/0.81 # Rec. Clause-clause subsumption calls : 86088
% 2.39/0.81 # Non-unit clause-clause subsumptions : 656
% 2.39/0.81 # Unit Clause-clause subsumption calls : 12674
% 2.39/0.81 # Rewrite failures with RHS unbound : 0
% 2.39/0.81 # BW rewrite match attempts : 201
% 2.39/0.81 # BW rewrite match successes : 1
% 2.39/0.81 # Condensation attempts : 0
% 2.39/0.81 # Condensation successes : 0
% 2.39/0.81 # Termbank termtop insertions : 217498
% 2.39/0.81
% 2.39/0.81 # -------------------------------------------------
% 2.39/0.81 # User time : 0.297 s
% 2.39/0.81 # System time : 0.014 s
% 2.39/0.81 # Total time : 0.311 s
% 2.39/0.81 # Maximum resident set size: 1652 pages
% 2.39/0.81
% 2.39/0.81 # -------------------------------------------------
% 2.39/0.81 # User time : 1.483 s
% 2.39/0.81 # System time : 0.038 s
% 2.39/0.81 # Total time : 1.521 s
% 2.39/0.81 # Maximum resident set size: 1680 pages
% 2.39/0.81 % E---3.1 exiting
%------------------------------------------------------------------------------