TSTP Solution File: LCL140-1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : LCL140-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.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 18:23:52 EDT 2023
% Result : Unsatisfiable 0.15s 0.41s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of clauses : 27 ( 27 unt; 0 nHn; 3 RR)
% Number of literals : 27 ( 26 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 37 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(wajsberg_2,axiom,
implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth,
file('/export/starexec/sandbox2/tmp/tmp.uZwMsCXu5x/E---3.1_10879.p',wajsberg_2) ).
cnf(wajsberg_1,axiom,
implies(truth,X1) = X1,
file('/export/starexec/sandbox2/tmp/tmp.uZwMsCXu5x/E---3.1_10879.p',wajsberg_1) ).
cnf(wajsberg_3,axiom,
implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1),
file('/export/starexec/sandbox2/tmp/tmp.uZwMsCXu5x/E---3.1_10879.p',wajsberg_3) ).
cnf(wajsberg_4,axiom,
implies(implies(not(X1),not(X2)),implies(X2,X1)) = truth,
file('/export/starexec/sandbox2/tmp/tmp.uZwMsCXu5x/E---3.1_10879.p',wajsberg_4) ).
cnf(prove_wajsberg_lemma,negated_conjecture,
not(not(x)) != x,
file('/export/starexec/sandbox2/tmp/tmp.uZwMsCXu5x/E---3.1_10879.p',prove_wajsberg_lemma) ).
cnf(c_0_5,axiom,
implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth,
wajsberg_2 ).
cnf(c_0_6,axiom,
implies(truth,X1) = X1,
wajsberg_1 ).
cnf(c_0_7,axiom,
implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1),
wajsberg_3 ).
cnf(c_0_8,plain,
implies(X1,implies(implies(X1,X2),X2)) = truth,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_6]) ).
cnf(c_0_9,plain,
implies(implies(X1,truth),truth) = implies(X1,X1),
inference(spm,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_10,plain,
implies(X1,X1) = truth,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_8]),c_0_6]) ).
cnf(c_0_11,plain,
implies(implies(X1,truth),truth) = truth,
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,plain,
implies(X1,truth) = truth,
inference(spm,[status(thm)],[c_0_8,c_0_11]) ).
cnf(c_0_13,plain,
implies(X1,implies(X2,X1)) = truth,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_12]),c_0_6]),c_0_6]) ).
cnf(c_0_14,axiom,
implies(implies(not(X1),not(X2)),implies(X2,X1)) = truth,
wajsberg_4 ).
cnf(c_0_15,plain,
implies(implies(implies(X1,X2),X3),implies(X2,X3)) = truth,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_13]),c_0_6]) ).
cnf(c_0_16,plain,
implies(implies(not(X1),not(truth)),X1) = truth,
inference(spm,[status(thm)],[c_0_14,c_0_6]) ).
cnf(c_0_17,plain,
implies(not(truth),X1) = truth,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_6]) ).
cnf(c_0_18,plain,
implies(not(X1),implies(X1,X2)) = truth,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_14]),c_0_6]) ).
cnf(c_0_19,plain,
implies(implies(X1,not(truth)),not(truth)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_17]),c_0_6]) ).
cnf(c_0_20,plain,
implies(not(implies(X1,not(truth))),X1) = truth,
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,plain,
implies(X1,implies(not(X1),not(truth))) = truth,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_20]),c_0_6]) ).
cnf(c_0_22,plain,
implies(not(X1),not(truth)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_21]),c_0_6]),c_0_16]),c_0_6]) ).
cnf(c_0_23,plain,
implies(X1,not(truth)) = not(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_22]),c_0_17]),c_0_6]) ).
cnf(c_0_24,negated_conjecture,
not(not(x)) != x,
prove_wajsberg_lemma ).
cnf(c_0_25,plain,
not(not(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_23]),c_0_23]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : LCL140-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.10 % Command : run_E %s %d THM
% 0.09/0.30 % Computer : n026.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 2400
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Oct 2 12:45:44 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.15/0.40 Running first-order model finding
% 0.15/0.40 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.uZwMsCXu5x/E---3.1_10879.p
% 0.15/0.41 # Version: 3.1pre001
% 0.15/0.41 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.41 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.41 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.41 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.41 # Starting sh5l with 300s (1) cores
% 0.15/0.41 # new_bool_3 with pid 10959 completed with status 0
% 0.15/0.41 # Result found by new_bool_3
% 0.15/0.41 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.41 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.41 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.41 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.41 # Search class: FUUPM-FFSF21-MFFFFFNN
% 0.15/0.41 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.41 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 135s (1) cores
% 0.15/0.41 # H----_047_C09_12_F1_AE_ND_CS_SP_S2S with pid 10963 completed with status 0
% 0.15/0.41 # Result found by H----_047_C09_12_F1_AE_ND_CS_SP_S2S
% 0.15/0.41 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.41 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.41 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.41 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.41 # Search class: FUUPM-FFSF21-MFFFFFNN
% 0.15/0.41 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.41 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 135s (1) cores
% 0.15/0.41 # Preprocessing time : 0.001 s
% 0.15/0.41 # Presaturation interreduction done
% 0.15/0.41
% 0.15/0.41 # Proof found!
% 0.15/0.41 # SZS status Unsatisfiable
% 0.15/0.41 # SZS output start CNFRefutation
% See solution above
% 0.15/0.41 # Parsed axioms : 5
% 0.15/0.41 # Removed by relevancy pruning/SinE : 0
% 0.15/0.41 # Initial clauses : 5
% 0.15/0.41 # Removed in clause preprocessing : 0
% 0.15/0.41 # Initial clauses in saturation : 5
% 0.15/0.41 # Processed clauses : 49
% 0.15/0.41 # ...of these trivial : 15
% 0.15/0.41 # ...subsumed : 1
% 0.15/0.41 # ...remaining for further processing : 33
% 0.15/0.41 # Other redundant clauses eliminated : 0
% 0.15/0.41 # Clauses deleted for lack of memory : 0
% 0.15/0.41 # Backward-subsumed : 0
% 0.15/0.41 # Backward-rewritten : 11
% 0.15/0.41 # Generated clauses : 476
% 0.15/0.41 # ...of the previous two non-redundant : 192
% 0.15/0.41 # ...aggressively subsumed : 0
% 0.15/0.41 # Contextual simplify-reflections : 0
% 0.15/0.41 # Paramodulations : 476
% 0.15/0.41 # Factorizations : 0
% 0.15/0.41 # NegExts : 0
% 0.15/0.41 # Equation resolutions : 0
% 0.15/0.41 # Total rewrite steps : 630
% 0.15/0.41 # Propositional unsat checks : 0
% 0.15/0.41 # Propositional check models : 0
% 0.15/0.41 # Propositional check unsatisfiable : 0
% 0.15/0.41 # Propositional clauses : 0
% 0.15/0.41 # Propositional clauses after purity: 0
% 0.15/0.41 # Propositional unsat core size : 0
% 0.15/0.41 # Propositional preprocessing time : 0.000
% 0.15/0.41 # Propositional encoding time : 0.000
% 0.15/0.41 # Propositional solver time : 0.000
% 0.15/0.41 # Success case prop preproc time : 0.000
% 0.15/0.41 # Success case prop encoding time : 0.000
% 0.15/0.41 # Success case prop solver time : 0.000
% 0.15/0.41 # Current number of processed clauses : 17
% 0.15/0.41 # Positive orientable unit clauses : 16
% 0.15/0.41 # Positive unorientable unit clauses: 1
% 0.15/0.41 # Negative unit clauses : 0
% 0.15/0.41 # Non-unit-clauses : 0
% 0.15/0.41 # Current number of unprocessed clauses: 150
% 0.15/0.41 # ...number of literals in the above : 150
% 0.15/0.41 # Current number of archived formulas : 0
% 0.15/0.41 # Current number of archived clauses : 16
% 0.15/0.41 # Clause-clause subsumption calls (NU) : 0
% 0.15/0.41 # Rec. Clause-clause subsumption calls : 0
% 0.15/0.41 # Non-unit clause-clause subsumptions : 0
% 0.15/0.41 # Unit Clause-clause subsumption calls : 0
% 0.15/0.41 # Rewrite failures with RHS unbound : 0
% 0.15/0.41 # BW rewrite match attempts : 50
% 0.15/0.41 # BW rewrite match successes : 12
% 0.15/0.41 # Condensation attempts : 0
% 0.15/0.41 # Condensation successes : 0
% 0.15/0.41 # Termbank termtop insertions : 4029
% 0.15/0.41
% 0.15/0.41 # -------------------------------------------------
% 0.15/0.41 # User time : 0.003 s
% 0.15/0.41 # System time : 0.003 s
% 0.15/0.41 # Total time : 0.006 s
% 0.15/0.41 # Maximum resident set size: 1424 pages
% 0.15/0.41
% 0.15/0.41 # -------------------------------------------------
% 0.15/0.41 # User time : 0.004 s
% 0.15/0.41 # System time : 0.005 s
% 0.15/0.41 # Total time : 0.008 s
% 0.15/0.41 # Maximum resident set size: 1668 pages
% 0.15/0.41 % E---3.1 exiting
%------------------------------------------------------------------------------