TSTP Solution File: LCL109-3 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : LCL109-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n010.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 18:23:45 EDT 2023
% Result : Unsatisfiable 2.99s 0.86s
% Output : CNFRefutation 2.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 29 ( 29 unt; 0 nHn; 6 RR)
% Number of literals : 29 ( 28 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 46 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_wajsberg_mv_4,negated_conjecture,
implies(implies(implies(a,b),implies(b,a)),implies(b,a)) != truth,
file('/export/starexec/sandbox/tmp/tmp.U2q1u28l30/E---3.1_17034.p',prove_wajsberg_mv_4) ).
cnf(lemma_10,axiom,
implies(not(X1),not(X2)) = implies(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.U2q1u28l30/E---3.1_17034.p',lemma_10) ).
cnf(wajsberg_3,axiom,
implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1),
file('/export/starexec/sandbox/tmp/tmp.U2q1u28l30/E---3.1_17034.p',wajsberg_3) ).
cnf(lemma_9,axiom,
not(not(X1)) = X1,
file('/export/starexec/sandbox/tmp/tmp.U2q1u28l30/E---3.1_17034.p',lemma_9) ).
cnf(lemma_7,axiom,
implies(X1,implies(X2,X3)) = implies(X2,implies(X1,X3)),
file('/export/starexec/sandbox/tmp/tmp.U2q1u28l30/E---3.1_17034.p',lemma_7) ).
cnf(wajsberg_2,axiom,
implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth,
file('/export/starexec/sandbox/tmp/tmp.U2q1u28l30/E---3.1_17034.p',wajsberg_2) ).
cnf(lemma_4,axiom,
implies(X1,implies(X2,X1)) = truth,
file('/export/starexec/sandbox/tmp/tmp.U2q1u28l30/E---3.1_17034.p',lemma_4) ).
cnf(lemma_8,axiom,
implies(X1,not(truth)) = not(X1),
file('/export/starexec/sandbox/tmp/tmp.U2q1u28l30/E---3.1_17034.p',lemma_8) ).
cnf(wajsberg_1,axiom,
implies(truth,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.U2q1u28l30/E---3.1_17034.p',wajsberg_1) ).
cnf(c_0_9,negated_conjecture,
implies(implies(implies(a,b),implies(b,a)),implies(b,a)) != truth,
prove_wajsberg_mv_4 ).
cnf(c_0_10,axiom,
implies(not(X1),not(X2)) = implies(X2,X1),
lemma_10 ).
cnf(c_0_11,axiom,
implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1),
wajsberg_3 ).
cnf(c_0_12,axiom,
not(not(X1)) = X1,
lemma_9 ).
cnf(c_0_13,negated_conjecture,
implies(not(implies(b,a)),not(implies(implies(a,b),implies(b,a)))) != truth,
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
implies(not(X1),not(implies(X2,X1))) = implies(not(X2),not(implies(X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_10]),c_0_10]) ).
cnf(c_0_15,plain,
implies(not(X1),X2) = implies(not(X2),X1),
inference(spm,[status(thm)],[c_0_10,c_0_12]) ).
cnf(c_0_16,axiom,
implies(X1,implies(X2,X3)) = implies(X2,implies(X1,X3)),
lemma_7 ).
cnf(c_0_17,axiom,
implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth,
wajsberg_2 ).
cnf(c_0_18,plain,
implies(X1,not(X2)) = implies(X2,not(X1)),
inference(spm,[status(thm)],[c_0_10,c_0_12]) ).
cnf(c_0_19,axiom,
implies(X1,implies(X2,X1)) = truth,
lemma_4 ).
cnf(c_0_20,axiom,
implies(X1,not(truth)) = not(X1),
lemma_8 ).
cnf(c_0_21,negated_conjecture,
implies(not(implies(a,b)),not(implies(implies(b,a),implies(a,b)))) != truth,
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_22,plain,
implies(not(implies(X1,X2)),X3) = implies(X1,implies(not(X3),X2)),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,plain,
implies(implies(not(X1),X2),implies(not(X3),implies(implies(X1,X3),not(implies(X2,not(implies(X3,X1))))))) = truth,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_14]),c_0_16]),c_0_18]) ).
cnf(c_0_24,plain,
implies(implies(X1,X2),not(implies(not(X1),not(implies(X2,X1))))) = not(X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_14]),c_0_12]),c_0_12]),c_0_18]),c_0_12]),c_0_19]),c_0_20]) ).
cnf(c_0_25,axiom,
implies(truth,X1) = X1,
wajsberg_1 ).
cnf(c_0_26,negated_conjecture,
implies(a,implies(not(b),not(implies(a,implies(not(b),not(implies(b,a))))))) != truth,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22]),c_0_16]),c_0_10]),c_0_12]),c_0_10]) ).
cnf(c_0_27,plain,
implies(X1,implies(not(X2),not(implies(X1,implies(not(X2),not(implies(X2,X1))))))) = truth,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_12]),c_0_12]),c_0_18]),c_0_12]),c_0_19]),c_0_12]),c_0_25]),c_0_16]),c_0_10]),c_0_16]),c_0_10]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL109-3 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n010.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 2400
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Oct 2 12:24:20 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 Running first-order model finding
% 0.21/0.49 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.U2q1u28l30/E---3.1_17034.p
% 2.99/0.86 # Version: 3.1pre001
% 2.99/0.86 # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.99/0.86 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.99/0.86 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.99/0.86 # Starting new_bool_3 with 300s (1) cores
% 2.99/0.86 # Starting new_bool_1 with 300s (1) cores
% 2.99/0.86 # Starting sh5l with 300s (1) cores
% 2.99/0.86 # sh5l with pid 17114 completed with status 0
% 2.99/0.86 # Result found by sh5l
% 2.99/0.86 # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.99/0.86 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.99/0.86 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.99/0.86 # Starting new_bool_3 with 300s (1) cores
% 2.99/0.86 # Starting new_bool_1 with 300s (1) cores
% 2.99/0.86 # Starting sh5l with 300s (1) cores
% 2.99/0.86 # SinE strategy is gf500_gu_R04_F100_L20000
% 2.99/0.86 # Search class: FHUPM-FFSF21-MFFFFFNN
% 2.99/0.86 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 2.99/0.86 # Starting G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with 163s (1) cores
% 2.99/0.86 # G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with pid 17118 completed with status 0
% 2.99/0.86 # Result found by G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S
% 2.99/0.86 # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.99/0.86 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.99/0.86 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.99/0.86 # Starting new_bool_3 with 300s (1) cores
% 2.99/0.86 # Starting new_bool_1 with 300s (1) cores
% 2.99/0.86 # Starting sh5l with 300s (1) cores
% 2.99/0.86 # SinE strategy is gf500_gu_R04_F100_L20000
% 2.99/0.86 # Search class: FHUPM-FFSF21-MFFFFFNN
% 2.99/0.86 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 2.99/0.86 # Starting G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with 163s (1) cores
% 2.99/0.86 # Preprocessing time : 0.001 s
% 2.99/0.86 # Presaturation interreduction done
% 2.99/0.86
% 2.99/0.86 # Proof found!
% 2.99/0.86 # SZS status Unsatisfiable
% 2.99/0.86 # SZS output start CNFRefutation
% See solution above
% 2.99/0.86 # Parsed axioms : 15
% 2.99/0.86 # Removed by relevancy pruning/SinE : 0
% 2.99/0.86 # Initial clauses : 15
% 2.99/0.86 # Removed in clause preprocessing : 0
% 2.99/0.86 # Initial clauses in saturation : 15
% 2.99/0.86 # Processed clauses : 3113
% 2.99/0.86 # ...of these trivial : 290
% 2.99/0.86 # ...subsumed : 2512
% 2.99/0.86 # ...remaining for further processing : 311
% 2.99/0.86 # Other redundant clauses eliminated : 0
% 2.99/0.86 # Clauses deleted for lack of memory : 0
% 2.99/0.86 # Backward-subsumed : 7
% 2.99/0.86 # Backward-rewritten : 13
% 2.99/0.86 # Generated clauses : 33050
% 2.99/0.86 # ...of the previous two non-redundant : 23821
% 2.99/0.86 # ...aggressively subsumed : 0
% 2.99/0.86 # Contextual simplify-reflections : 0
% 2.99/0.86 # Paramodulations : 33028
% 2.99/0.86 # Factorizations : 0
% 2.99/0.86 # NegExts : 0
% 2.99/0.86 # Equation resolutions : 22
% 2.99/0.86 # Total rewrite steps : 57869
% 2.99/0.86 # Propositional unsat checks : 0
% 2.99/0.86 # Propositional check models : 0
% 2.99/0.86 # Propositional check unsatisfiable : 0
% 2.99/0.86 # Propositional clauses : 0
% 2.99/0.86 # Propositional clauses after purity: 0
% 2.99/0.86 # Propositional unsat core size : 0
% 2.99/0.86 # Propositional preprocessing time : 0.000
% 2.99/0.86 # Propositional encoding time : 0.000
% 2.99/0.86 # Propositional solver time : 0.000
% 2.99/0.86 # Success case prop preproc time : 0.000
% 2.99/0.86 # Success case prop encoding time : 0.000
% 2.99/0.86 # Success case prop solver time : 0.000
% 2.99/0.86 # Current number of processed clauses : 276
% 2.99/0.86 # Positive orientable unit clauses : 100
% 2.99/0.86 # Positive unorientable unit clauses: 5
% 2.99/0.86 # Negative unit clauses : 0
% 2.99/0.86 # Non-unit-clauses : 171
% 2.99/0.86 # Current number of unprocessed clauses: 20704
% 2.99/0.86 # ...number of literals in the above : 28903
% 2.99/0.86 # Current number of archived formulas : 0
% 2.99/0.86 # Current number of archived clauses : 35
% 2.99/0.86 # Clause-clause subsumption calls (NU) : 21751
% 2.99/0.86 # Rec. Clause-clause subsumption calls : 20239
% 2.99/0.86 # Non-unit clause-clause subsumptions : 2512
% 2.99/0.86 # Unit Clause-clause subsumption calls : 12
% 2.99/0.86 # Rewrite failures with RHS unbound : 0
% 2.99/0.86 # BW rewrite match attempts : 1322
% 2.99/0.86 # BW rewrite match successes : 82
% 2.99/0.86 # Condensation attempts : 0
% 2.99/0.86 # Condensation successes : 0
% 2.99/0.86 # Termbank termtop insertions : 499079
% 2.99/0.86
% 2.99/0.86 # -------------------------------------------------
% 2.99/0.86 # User time : 0.338 s
% 2.99/0.86 # System time : 0.011 s
% 2.99/0.86 # Total time : 0.349 s
% 2.99/0.86 # Maximum resident set size: 1640 pages
% 2.99/0.86
% 2.99/0.86 # -------------------------------------------------
% 2.99/0.86 # User time : 0.339 s
% 2.99/0.86 # System time : 0.013 s
% 2.99/0.86 # Total time : 0.352 s
% 2.99/0.86 # Maximum resident set size: 1676 pages
% 2.99/0.86 % E---3.1 exiting
%------------------------------------------------------------------------------