TSTP Solution File: LCL218-1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LCL218-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n007.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 18:12:03 EDT 2023
% Result : Unsatisfiable 1.07s 0.62s
% Output : CNFRefutation 1.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of clauses : 31 ( 19 unt; 0 nHn; 15 RR)
% Number of literals : 47 ( 0 equ; 18 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 60 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_2,axiom,
( theorem(X1)
| ~ axiom(or(not(X2),X1))
| ~ theorem(X2) ),
file('/export/starexec/sandbox/tmp/tmp.pCB6RVNmZ0/E---3.1_20738.p',rule_2) ).
cnf(axiom_1_4,axiom,
axiom(or(not(or(X1,X2)),or(X2,X1))),
file('/export/starexec/sandbox/tmp/tmp.pCB6RVNmZ0/E---3.1_20738.p',axiom_1_4) ).
cnf(rule_1,axiom,
( theorem(X1)
| ~ axiom(X1) ),
file('/export/starexec/sandbox/tmp/tmp.pCB6RVNmZ0/E---3.1_20738.p',rule_1) ).
cnf(axiom_1_3,axiom,
axiom(or(not(X1),or(X2,X1))),
file('/export/starexec/sandbox/tmp/tmp.pCB6RVNmZ0/E---3.1_20738.p',axiom_1_3) ).
cnf(axiom_1_5,axiom,
axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
file('/export/starexec/sandbox/tmp/tmp.pCB6RVNmZ0/E---3.1_20738.p',axiom_1_5) ).
cnf(axiom_1_2,axiom,
axiom(or(not(or(X1,X1)),X1)),
file('/export/starexec/sandbox/tmp/tmp.pCB6RVNmZ0/E---3.1_20738.p',axiom_1_2) ).
cnf(rule_3,axiom,
( theorem(or(not(X1),X2))
| ~ axiom(or(not(X1),X3))
| ~ theorem(or(not(X3),X2)) ),
file('/export/starexec/sandbox/tmp/tmp.pCB6RVNmZ0/E---3.1_20738.p',rule_3) ).
cnf(prove_this,negated_conjecture,
~ theorem(or(not(or(not(or(p,q)),q)),or(not(p),q))),
file('/export/starexec/sandbox/tmp/tmp.pCB6RVNmZ0/E---3.1_20738.p',prove_this) ).
cnf(c_0_8,axiom,
( theorem(X1)
| ~ axiom(or(not(X2),X1))
| ~ theorem(X2) ),
rule_2 ).
cnf(c_0_9,axiom,
axiom(or(not(or(X1,X2)),or(X2,X1))),
axiom_1_4 ).
cnf(c_0_10,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,axiom,
( theorem(X1)
| ~ axiom(X1) ),
rule_1 ).
cnf(c_0_12,plain,
( theorem(or(X1,X2))
| ~ axiom(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,axiom,
axiom(or(not(X1),or(X2,X1))),
axiom_1_3 ).
cnf(c_0_14,axiom,
axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
axiom_1_5 ).
cnf(c_0_15,plain,
theorem(or(or(X1,X2),not(X2))),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,axiom,
axiom(or(not(or(X1,X1)),X1)),
axiom_1_2 ).
cnf(c_0_17,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_8,c_0_14]) ).
cnf(c_0_18,plain,
theorem(or(not(X1),or(X2,X1))),
inference(spm,[status(thm)],[c_0_10,c_0_15]) ).
cnf(c_0_19,plain,
( theorem(X1)
| ~ theorem(or(X1,X1)) ),
inference(spm,[status(thm)],[c_0_8,c_0_16]) ).
cnf(c_0_20,plain,
theorem(or(X1,or(not(X2),X2))),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,axiom,
( theorem(or(not(X1),X2))
| ~ axiom(or(not(X1),X3))
| ~ theorem(or(not(X3),X2)) ),
rule_3 ).
cnf(c_0_22,plain,
theorem(or(not(X1),X1)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,plain,
( theorem(or(not(or(X1,X2)),X3))
| ~ theorem(or(not(or(X2,X1)),X3)) ),
inference(spm,[status(thm)],[c_0_21,c_0_9]) ).
cnf(c_0_24,plain,
theorem(or(X1,or(not(or(X1,X2)),X2))),
inference(spm,[status(thm)],[c_0_17,c_0_22]) ).
cnf(c_0_25,plain,
( theorem(or(not(X1),X2))
| ~ theorem(or(not(or(X3,X1)),X2)) ),
inference(spm,[status(thm)],[c_0_21,c_0_13]) ).
cnf(c_0_26,plain,
theorem(or(not(or(X1,X2)),or(not(or(not(or(X2,X1)),X3)),X3))),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,plain,
theorem(or(not(X1),or(not(or(not(or(X1,X2)),X3)),X3))),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_28,negated_conjecture,
~ theorem(or(not(or(not(or(p,q)),q)),or(not(p),q))),
prove_this ).
cnf(c_0_29,plain,
theorem(or(not(or(not(or(X1,X2)),X3)),or(not(X1),X3))),
inference(spm,[status(thm)],[c_0_17,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : LCL218-1 : TPTP v8.1.2. Released v1.1.0.
% 0.09/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n007.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Oct 2 12:30:09 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 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/tmp/tmp.pCB6RVNmZ0/E---3.1_20738.p
% 1.07/0.62 # Version: 3.1pre001
% 1.07/0.62 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.07/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.07/0.62 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.07/0.62 # Starting new_bool_3 with 300s (1) cores
% 1.07/0.62 # Starting new_bool_1 with 300s (1) cores
% 1.07/0.62 # Starting sh5l with 300s (1) cores
% 1.07/0.62 # new_bool_3 with pid 20817 completed with status 0
% 1.07/0.62 # Result found by new_bool_3
% 1.07/0.62 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.07/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.07/0.62 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.07/0.62 # Starting new_bool_3 with 300s (1) cores
% 1.07/0.62 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.07/0.62 # Search class: FHUNM-FFSF21-MFFFFFNN
% 1.07/0.62 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.07/0.62 # Starting G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with 181s (1) cores
% 1.07/0.62 # G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with pid 20822 completed with status 0
% 1.07/0.62 # Result found by G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S
% 1.07/0.62 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.07/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.07/0.62 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.07/0.62 # Starting new_bool_3 with 300s (1) cores
% 1.07/0.62 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.07/0.62 # Search class: FHUNM-FFSF21-MFFFFFNN
% 1.07/0.62 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.07/0.62 # Starting G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with 181s (1) cores
% 1.07/0.62 # Preprocessing time : 0.001 s
% 1.07/0.62 # Presaturation interreduction done
% 1.07/0.62
% 1.07/0.62 # Proof found!
% 1.07/0.62 # SZS status Unsatisfiable
% 1.07/0.62 # SZS output start CNFRefutation
% See solution above
% 1.07/0.62 # Parsed axioms : 9
% 1.07/0.62 # Removed by relevancy pruning/SinE : 0
% 1.07/0.62 # Initial clauses : 9
% 1.07/0.62 # Removed in clause preprocessing : 0
% 1.07/0.62 # Initial clauses in saturation : 9
% 1.07/0.62 # Processed clauses : 1657
% 1.07/0.62 # ...of these trivial : 82
% 1.07/0.62 # ...subsumed : 96
% 1.07/0.62 # ...remaining for further processing : 1479
% 1.07/0.62 # Other redundant clauses eliminated : 0
% 1.07/0.62 # Clauses deleted for lack of memory : 0
% 1.07/0.62 # Backward-subsumed : 0
% 1.07/0.62 # Backward-rewritten : 1
% 1.07/0.62 # Generated clauses : 8720
% 1.07/0.62 # ...of the previous two non-redundant : 5335
% 1.07/0.62 # ...aggressively subsumed : 0
% 1.07/0.62 # Contextual simplify-reflections : 0
% 1.07/0.62 # Paramodulations : 8720
% 1.07/0.62 # Factorizations : 0
% 1.07/0.62 # NegExts : 0
% 1.07/0.62 # Equation resolutions : 0
% 1.07/0.62 # Total rewrite steps : 3457
% 1.07/0.62 # Propositional unsat checks : 0
% 1.07/0.62 # Propositional check models : 0
% 1.07/0.62 # Propositional check unsatisfiable : 0
% 1.07/0.62 # Propositional clauses : 0
% 1.07/0.62 # Propositional clauses after purity: 0
% 1.07/0.62 # Propositional unsat core size : 0
% 1.07/0.62 # Propositional preprocessing time : 0.000
% 1.07/0.62 # Propositional encoding time : 0.000
% 1.07/0.62 # Propositional solver time : 0.000
% 1.07/0.62 # Success case prop preproc time : 0.000
% 1.07/0.62 # Success case prop encoding time : 0.000
% 1.07/0.62 # Success case prop solver time : 0.000
% 1.07/0.62 # Current number of processed clauses : 1469
% 1.07/0.62 # Positive orientable unit clauses : 1400
% 1.07/0.62 # Positive unorientable unit clauses: 0
% 1.07/0.62 # Negative unit clauses : 9
% 1.07/0.62 # Non-unit-clauses : 60
% 1.07/0.62 # Current number of unprocessed clauses: 3696
% 1.07/0.62 # ...number of literals in the above : 3783
% 1.07/0.62 # Current number of archived formulas : 0
% 1.07/0.62 # Current number of archived clauses : 10
% 1.07/0.62 # Clause-clause subsumption calls (NU) : 1747
% 1.07/0.62 # Rec. Clause-clause subsumption calls : 1747
% 1.07/0.62 # Non-unit clause-clause subsumptions : 94
% 1.07/0.62 # Unit Clause-clause subsumption calls : 108
% 1.07/0.62 # Rewrite failures with RHS unbound : 0
% 1.07/0.62 # BW rewrite match attempts : 343550
% 1.07/0.62 # BW rewrite match successes : 1
% 1.07/0.62 # Condensation attempts : 0
% 1.07/0.62 # Condensation successes : 0
% 1.07/0.62 # Termbank termtop insertions : 121200
% 1.07/0.62
% 1.07/0.62 # -------------------------------------------------
% 1.07/0.62 # User time : 0.179 s
% 1.07/0.62 # System time : 0.009 s
% 1.07/0.62 # Total time : 0.188 s
% 1.07/0.62 # Maximum resident set size: 1652 pages
% 1.07/0.62
% 1.07/0.62 # -------------------------------------------------
% 1.07/0.62 # User time : 0.179 s
% 1.07/0.62 # System time : 0.012 s
% 1.07/0.62 # Total time : 0.191 s
% 1.07/0.62 # Maximum resident set size: 1684 pages
% 1.07/0.62 % E---3.1 exiting
% 1.07/0.62 % E---3.1 exiting
%------------------------------------------------------------------------------