TSTP Solution File: LCL109-10 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : LCL109-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n001.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 0.19s 0.66s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 29 ( 29 unt; 0 nHn; 4 RR)
% Number of literals : 29 ( 28 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 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 : 48 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(wajsberg_3,axiom,
implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1),
file('/export/starexec/sandbox/tmp/tmp.XxM3s9Ob5h/E---3.1_15425.p',wajsberg_3) ).
cnf(lemma_4,axiom,
implies(X1,implies(X2,X1)) = truth,
file('/export/starexec/sandbox/tmp/tmp.XxM3s9Ob5h/E---3.1_15425.p',lemma_4) ).
cnf(wajsberg_1,axiom,
implies(truth,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.XxM3s9Ob5h/E---3.1_15425.p',wajsberg_1) ).
cnf(lemma_10,axiom,
implies(not(X1),not(X2)) = implies(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.XxM3s9Ob5h/E---3.1_15425.p',lemma_10) ).
cnf(lemma_9,axiom,
not(not(X1)) = X1,
file('/export/starexec/sandbox/tmp/tmp.XxM3s9Ob5h/E---3.1_15425.p',lemma_9) ).
cnf(lemma_7,axiom,
implies(X1,implies(X2,X3)) = implies(X2,implies(X1,X3)),
file('/export/starexec/sandbox/tmp/tmp.XxM3s9Ob5h/E---3.1_15425.p',lemma_7) ).
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.XxM3s9Ob5h/E---3.1_15425.p',prove_wajsberg_mv_4) ).
cnf(lemma_1,axiom,
implies(X1,X1) = truth,
file('/export/starexec/sandbox/tmp/tmp.XxM3s9Ob5h/E---3.1_15425.p',lemma_1) ).
cnf(c_0_8,axiom,
implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1),
wajsberg_3 ).
cnf(c_0_9,axiom,
implies(X1,implies(X2,X1)) = truth,
lemma_4 ).
cnf(c_0_10,axiom,
implies(truth,X1) = X1,
wajsberg_1 ).
cnf(c_0_11,axiom,
implies(not(X1),not(X2)) = implies(X2,X1),
lemma_10 ).
cnf(c_0_12,axiom,
not(not(X1)) = X1,
lemma_9 ).
cnf(c_0_13,plain,
implies(implies(implies(X1,X2),X2),X2) = implies(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).
cnf(c_0_14,plain,
implies(not(X1),X2) = implies(not(X2),X1),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,axiom,
implies(X1,implies(X2,X3)) = implies(X2,implies(X1,X3)),
lemma_7 ).
cnf(c_0_16,plain,
implies(implies(implies(X1,X2),X2),X1) = implies(X2,X1),
inference(spm,[status(thm)],[c_0_13,c_0_8]) ).
cnf(c_0_17,plain,
implies(X1,not(X2)) = implies(X2,not(X1)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,plain,
implies(not(implies(X1,X2)),X3) = implies(X1,implies(not(X3),X2)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,plain,
implies(X1,not(implies(X2,not(implies(X2,X1))))) = implies(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_11]),c_0_17]),c_0_11]),c_0_17]) ).
cnf(c_0_20,plain,
implies(not(X1),implies(X1,X2)) = truth,
inference(spm,[status(thm)],[c_0_9,c_0_11]) ).
cnf(c_0_21,negated_conjecture,
implies(implies(implies(a,b),implies(b,a)),implies(b,a)) != truth,
prove_wajsberg_mv_4 ).
cnf(c_0_22,plain,
implies(X1,implies(implies(X2,not(implies(X2,X1))),X3)) = implies(X1,implies(not(X3),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_18]),c_0_11]) ).
cnf(c_0_23,plain,
implies(X1,implies(not(X1),X2)) = truth,
inference(spm,[status(thm)],[c_0_20,c_0_12]) ).
cnf(c_0_24,axiom,
implies(X1,X1) = truth,
lemma_1 ).
cnf(c_0_25,negated_conjecture,
implies(b,implies(implies(b,implies(implies(a,b),a)),a)) != truth,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_15]),c_0_15]) ).
cnf(c_0_26,plain,
implies(X1,implies(implies(X2,X1),X2)) = implies(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_8]),c_0_18]),c_0_23]),c_0_10]),c_0_12]) ).
cnf(c_0_27,plain,
implies(X1,implies(implies(X1,X2),X2)) = truth,
inference(spm,[status(thm)],[c_0_24,c_0_15]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL109-10 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.13 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n001.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 2400
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Oct 2 12:52:36 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.48 Running first-order model finding
% 0.19/0.48 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.XxM3s9Ob5h/E---3.1_15425.p
% 0.19/0.66 # Version: 3.1pre001
% 0.19/0.66 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.66 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.66 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.66 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.66 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.66 # Starting sh5l with 300s (1) cores
% 0.19/0.66 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 15502 completed with status 0
% 0.19/0.66 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.66 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.66 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.66 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.66 # No SInE strategy applied
% 0.19/0.66 # Search class: FUUPM-FFSF32-MFFFFFNN
% 0.19/0.66 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.66 # Starting G-E--_107_C18_F1_AE_Q4_CS_SP_CO_S0Y with 811s (1) cores
% 0.19/0.66 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.19/0.66 # Starting G-E--_208_B02_F1_AE_CS_SP_PS_S0Y with 136s (1) cores
% 0.19/0.66 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 136s (1) cores
% 0.19/0.66 # Starting U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.19/0.66 # H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with pid 15511 completed with status 0
% 0.19/0.66 # Result found by H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S
% 0.19/0.66 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.66 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.66 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.66 # No SInE strategy applied
% 0.19/0.66 # Search class: FUUPM-FFSF32-MFFFFFNN
% 0.19/0.66 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.66 # Starting G-E--_107_C18_F1_AE_Q4_CS_SP_CO_S0Y with 811s (1) cores
% 0.19/0.66 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.19/0.66 # Starting G-E--_208_B02_F1_AE_CS_SP_PS_S0Y with 136s (1) cores
% 0.19/0.66 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 136s (1) cores
% 0.19/0.66 # Preprocessing time : 0.001 s
% 0.19/0.66 # Presaturation interreduction done
% 0.19/0.66
% 0.19/0.66 # Proof found!
% 0.19/0.66 # SZS status Unsatisfiable
% 0.19/0.66 # SZS output start CNFRefutation
% See solution above
% 0.19/0.66 # Parsed axioms : 16
% 0.19/0.66 # Removed by relevancy pruning/SinE : 0
% 0.19/0.66 # Initial clauses : 16
% 0.19/0.66 # Removed in clause preprocessing : 0
% 0.19/0.66 # Initial clauses in saturation : 16
% 0.19/0.66 # Processed clauses : 649
% 0.19/0.66 # ...of these trivial : 434
% 0.19/0.66 # ...subsumed : 53
% 0.19/0.66 # ...remaining for further processing : 162
% 0.19/0.66 # Other redundant clauses eliminated : 0
% 0.19/0.66 # Clauses deleted for lack of memory : 0
% 0.19/0.66 # Backward-subsumed : 0
% 0.19/0.66 # Backward-rewritten : 7
% 0.19/0.66 # Generated clauses : 17540
% 0.19/0.66 # ...of the previous two non-redundant : 8488
% 0.19/0.66 # ...aggressively subsumed : 0
% 0.19/0.66 # Contextual simplify-reflections : 0
% 0.19/0.66 # Paramodulations : 17540
% 0.19/0.66 # Factorizations : 0
% 0.19/0.66 # NegExts : 0
% 0.19/0.66 # Equation resolutions : 0
% 0.19/0.66 # Total rewrite steps : 25431
% 0.19/0.66 # Propositional unsat checks : 0
% 0.19/0.66 # Propositional check models : 0
% 0.19/0.66 # Propositional check unsatisfiable : 0
% 0.19/0.66 # Propositional clauses : 0
% 0.19/0.66 # Propositional clauses after purity: 0
% 0.19/0.66 # Propositional unsat core size : 0
% 0.19/0.66 # Propositional preprocessing time : 0.000
% 0.19/0.66 # Propositional encoding time : 0.000
% 0.19/0.66 # Propositional solver time : 0.000
% 0.19/0.66 # Success case prop preproc time : 0.000
% 0.19/0.66 # Success case prop encoding time : 0.000
% 0.19/0.66 # Success case prop solver time : 0.000
% 0.19/0.66 # Current number of processed clauses : 140
% 0.19/0.66 # Positive orientable unit clauses : 134
% 0.19/0.66 # Positive unorientable unit clauses: 5
% 0.19/0.66 # Negative unit clauses : 1
% 0.19/0.66 # Non-unit-clauses : 0
% 0.19/0.66 # Current number of unprocessed clauses: 7859
% 0.19/0.66 # ...number of literals in the above : 7859
% 0.19/0.66 # Current number of archived formulas : 0
% 0.19/0.66 # Current number of archived clauses : 22
% 0.19/0.66 # Clause-clause subsumption calls (NU) : 0
% 0.19/0.66 # Rec. Clause-clause subsumption calls : 0
% 0.19/0.66 # Non-unit clause-clause subsumptions : 0
% 0.19/0.66 # Unit Clause-clause subsumption calls : 22
% 0.19/0.66 # Rewrite failures with RHS unbound : 0
% 0.19/0.66 # BW rewrite match attempts : 846
% 0.19/0.66 # BW rewrite match successes : 92
% 0.19/0.66 # Condensation attempts : 0
% 0.19/0.66 # Condensation successes : 0
% 0.19/0.66 # Termbank termtop insertions : 179600
% 0.19/0.66
% 0.19/0.66 # -------------------------------------------------
% 0.19/0.66 # User time : 0.162 s
% 0.19/0.66 # System time : 0.008 s
% 0.19/0.66 # Total time : 0.170 s
% 0.19/0.66 # Maximum resident set size: 1524 pages
% 0.19/0.66
% 0.19/0.66 # -------------------------------------------------
% 0.19/0.66 # User time : 0.806 s
% 0.19/0.66 # System time : 0.041 s
% 0.19/0.66 # Total time : 0.847 s
% 0.19/0.66 # Maximum resident set size: 1676 pages
% 0.19/0.66 % E---3.1 exiting
%------------------------------------------------------------------------------