TSTP Solution File: LCL396-1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LCL396-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n029.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 18:12:37 EDT 2023
% Result : Unsatisfiable 7.11s 1.47s
% Output : CNFRefutation 7.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of clauses : 57 ( 22 unt; 0 nHn; 20 RR)
% Number of literals : 105 ( 0 equ; 51 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 135 ( 30 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.cIV3if4szb/E---3.1_17477.p',condensed_detachment) ).
cnf(cn_1,axiom,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
file('/export/starexec/sandbox2/tmp/tmp.cIV3if4szb/E---3.1_17477.p',cn_1) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X1),X1),X1)),
file('/export/starexec/sandbox2/tmp/tmp.cIV3if4szb/E---3.1_17477.p',cn_2) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X1,implies(not(X1),X2))),
file('/export/starexec/sandbox2/tmp/tmp.cIV3if4szb/E---3.1_17477.p',cn_3) ).
cnf(prove_cn_62,negated_conjecture,
~ is_a_theorem(implies(implies(not(not(x)),y),implies(x,y))),
file('/export/starexec/sandbox2/tmp/tmp.cIV3if4szb/E---3.1_17477.p',prove_cn_62) ).
cnf(c_0_5,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
condensed_detachment ).
cnf(c_0_6,axiom,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
cn_1 ).
cnf(c_0_7,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X3,X2))
| ~ is_a_theorem(implies(X1,X3)) ),
inference(spm,[status(thm)],[c_0_5,c_0_7]) ).
cnf(c_0_9,axiom,
is_a_theorem(implies(implies(not(X1),X1),X1)),
cn_2 ).
cnf(c_0_10,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(not(X2),X2))) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,axiom,
is_a_theorem(implies(X1,implies(not(X1),X2))),
cn_3 ).
cnf(c_0_12,plain,
( is_a_theorem(implies(implies(X1,X2),X2))
| ~ is_a_theorem(implies(not(X2),X1)) ),
inference(spm,[status(thm)],[c_0_10,c_0_7]) ).
cnf(c_0_13,plain,
( is_a_theorem(implies(not(X1),X2))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_11]) ).
cnf(c_0_14,plain,
( is_a_theorem(implies(implies(X1,X2),X2))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(X3,X2)))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_14]) ).
cnf(c_0_16,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(X1,implies(X4,X3)))
| ~ is_a_theorem(implies(X2,X4)) ),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_17,plain,
( is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,X3))))
| ~ is_a_theorem(implies(X1,implies(X4,X2))) ),
inference(spm,[status(thm)],[c_0_8,c_0_6]) ).
cnf(c_0_18,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_11]) ).
cnf(c_0_19,plain,
( is_a_theorem(implies(X1,implies(not(X2),X3)))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_8,c_0_11]) ).
cnf(c_0_20,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(X2,not(X1))) ),
inference(spm,[status(thm)],[c_0_16,c_0_11]) ).
cnf(c_0_21,plain,
( is_a_theorem(implies(X1,implies(X2,implies(X3,X4))))
| ~ is_a_theorem(implies(X2,implies(X5,X4)))
| ~ is_a_theorem(implies(X1,implies(X3,X5))) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,plain,
( is_a_theorem(implies(implies(X1,X2),X2))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_18]) ).
cnf(c_0_23,plain,
( is_a_theorem(implies(not(X1),X2))
| ~ is_a_theorem(implies(X3,X1))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_5,c_0_19]) ).
cnf(c_0_24,plain,
( is_a_theorem(implies(X1,implies(not(X2),X3)))
| ~ is_a_theorem(implies(X1,X4))
| ~ is_a_theorem(implies(X4,X2)) ),
inference(spm,[status(thm)],[c_0_8,c_0_19]) ).
cnf(c_0_25,plain,
is_a_theorem(implies(X1,implies(implies(not(not(X1)),not(X1)),X2))),
inference(spm,[status(thm)],[c_0_20,c_0_9]) ).
cnf(c_0_26,plain,
( is_a_theorem(implies(X1,implies(X2,implies(X3,X4))))
| ~ is_a_theorem(implies(X1,implies(X3,not(X2)))) ),
inference(spm,[status(thm)],[c_0_21,c_0_11]) ).
cnf(c_0_27,plain,
( is_a_theorem(implies(implies(X1,implies(not(X2),X2)),X2))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_22]) ).
cnf(c_0_28,plain,
( is_a_theorem(implies(not(implies(X1,X2)),X3))
| ~ is_a_theorem(implies(X4,X2))
| ~ is_a_theorem(implies(X1,X4)) ),
inference(spm,[status(thm)],[c_0_23,c_0_7]) ).
cnf(c_0_29,plain,
( is_a_theorem(implies(X1,implies(not(X2),X3)))
| ~ is_a_theorem(implies(implies(not(X1),X4),X2)) ),
inference(spm,[status(thm)],[c_0_24,c_0_11]) ).
cnf(c_0_30,plain,
is_a_theorem(implies(X1,X1)),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_31,plain,
( is_a_theorem(implies(implies(implies(not(X1),X2),X3),X3))
| ~ is_a_theorem(implies(not(X3),X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_19]) ).
cnf(c_0_32,plain,
is_a_theorem(implies(implies(not(implies(not(X1),X1)),implies(not(X1),X1)),X1)),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_33,plain,
( is_a_theorem(implies(X1,implies(X2,implies(X3,X4))))
| ~ is_a_theorem(implies(X1,implies(X3,implies(not(not(X2)),not(X2))))) ),
inference(spm,[status(thm)],[c_0_21,c_0_25]) ).
cnf(c_0_34,plain,
is_a_theorem(implies(X1,implies(X2,implies(not(X1),X3)))),
inference(spm,[status(thm)],[c_0_26,c_0_11]) ).
cnf(c_0_35,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X2,implies(not(X1),X1)))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_5,c_0_27]) ).
cnf(c_0_36,plain,
( is_a_theorem(implies(implies(not(X1),X1),implies(not(X2),X3)))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_24,c_0_9]) ).
cnf(c_0_37,plain,
( is_a_theorem(implies(not(implies(X1,X2)),X3))
| ~ is_a_theorem(implies(X1,implies(not(X2),X2))) ),
inference(spm,[status(thm)],[c_0_28,c_0_9]) ).
cnf(c_0_38,plain,
is_a_theorem(implies(X1,implies(not(implies(not(X1),X2)),X3))),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_39,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(implies(not(X3),X4),X2)))
| ~ is_a_theorem(implies(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_8,c_0_31]) ).
cnf(c_0_40,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(not(implies(not(X2),X2)),implies(not(X2),X2)))) ),
inference(spm,[status(thm)],[c_0_8,c_0_32]) ).
cnf(c_0_41,plain,
is_a_theorem(implies(not(X1),implies(X1,implies(X2,X3)))),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_42,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(not(X2),X2))
| ~ is_a_theorem(implies(X2,X1)) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_43,plain,
is_a_theorem(implies(not(implies(X1,implies(not(X1),X2))),X3)),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_44,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(X3,X2)))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_8,c_0_22]) ).
cnf(c_0_45,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(not(X2),not(X1))) ),
inference(spm,[status(thm)],[c_0_39,c_0_25]) ).
cnf(c_0_46,plain,
is_a_theorem(implies(not(not(implies(not(X1),X1))),X1)),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_47,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X2,implies(not(X2),X3)),X1)) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))
| ~ is_a_theorem(implies(X2,X3)) ),
inference(spm,[status(thm)],[c_0_44,c_0_6]) ).
cnf(c_0_49,plain,
is_a_theorem(implies(X1,not(implies(not(not(X1)),not(X1))))),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_50,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(not(X1),X3),X2)) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_51,plain,
is_a_theorem(implies(implies(not(not(not(X1))),not(not(X1))),X1)),
inference(spm,[status(thm)],[c_0_45,c_0_49]) ).
cnf(c_0_52,negated_conjecture,
~ is_a_theorem(implies(implies(not(not(x)),y),implies(x,y))),
prove_cn_62 ).
cnf(c_0_53,plain,
is_a_theorem(implies(not(not(X1)),X1)),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_54,negated_conjecture,
~ is_a_theorem(implies(x,not(not(x)))),
inference(spm,[status(thm)],[c_0_52,c_0_7]) ).
cnf(c_0_55,plain,
is_a_theorem(implies(X1,not(not(X1)))),
inference(spm,[status(thm)],[c_0_45,c_0_53]) ).
cnf(c_0_56,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_55])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL396-1 : TPTP v8.1.2. Released v2.3.0.
% 0.06/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 2400
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Oct 2 12:13:51 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.cIV3if4szb/E---3.1_17477.p
% 7.11/1.47 # Version: 3.1pre001
% 7.11/1.47 # Preprocessing class: FSSSSMSSSSSNFFN.
% 7.11/1.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.11/1.47 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 7.11/1.47 # Starting new_bool_3 with 300s (1) cores
% 7.11/1.47 # Starting new_bool_1 with 300s (1) cores
% 7.11/1.47 # Starting sh5l with 300s (1) cores
% 7.11/1.47 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 17555 completed with status 0
% 7.11/1.47 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 7.11/1.47 # Preprocessing class: FSSSSMSSSSSNFFN.
% 7.11/1.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.11/1.47 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 7.11/1.47 # No SInE strategy applied
% 7.11/1.47 # Search class: FHUNS-FFSF21-MFFFFFNN
% 7.11/1.47 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 7.11/1.47 # Starting H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V with 811s (1) cores
% 7.11/1.47 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 7.11/1.47 # Starting H----_011_C07_F1_PI_SE_SP_S0V with 136s (1) cores
% 7.11/1.47 # Starting new_bool_3 with 136s (1) cores
% 7.11/1.47 # Starting new_bool_1 with 136s (1) cores
% 7.11/1.47 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 17560 completed with status 0
% 7.11/1.47 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 7.11/1.47 # Preprocessing class: FSSSSMSSSSSNFFN.
% 7.11/1.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.11/1.47 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 7.11/1.47 # No SInE strategy applied
% 7.11/1.47 # Search class: FHUNS-FFSF21-MFFFFFNN
% 7.11/1.47 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 7.11/1.47 # Starting H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V with 811s (1) cores
% 7.11/1.47 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 7.11/1.47 # Preprocessing time : 0.003 s
% 7.11/1.47
% 7.11/1.47 # Proof found!
% 7.11/1.47 # SZS status Unsatisfiable
% 7.11/1.47 # SZS output start CNFRefutation
% See solution above
% 7.11/1.47 # Parsed axioms : 5
% 7.11/1.47 # Removed by relevancy pruning/SinE : 0
% 7.11/1.47 # Initial clauses : 5
% 7.11/1.47 # Removed in clause preprocessing : 0
% 7.11/1.47 # Initial clauses in saturation : 5
% 7.11/1.47 # Processed clauses : 4402
% 7.11/1.47 # ...of these trivial : 87
% 7.11/1.47 # ...subsumed : 3570
% 7.11/1.47 # ...remaining for further processing : 745
% 7.11/1.47 # Other redundant clauses eliminated : 0
% 7.11/1.47 # Clauses deleted for lack of memory : 0
% 7.11/1.47 # Backward-subsumed : 8
% 7.11/1.47 # Backward-rewritten : 3
% 7.11/1.47 # Generated clauses : 56920
% 7.11/1.47 # ...of the previous two non-redundant : 54241
% 7.11/1.47 # ...aggressively subsumed : 0
% 7.11/1.47 # Contextual simplify-reflections : 0
% 7.11/1.47 # Paramodulations : 56920
% 7.11/1.47 # Factorizations : 0
% 7.11/1.47 # NegExts : 0
% 7.11/1.47 # Equation resolutions : 0
% 7.11/1.47 # Total rewrite steps : 2565
% 7.11/1.47 # Propositional unsat checks : 0
% 7.11/1.47 # Propositional check models : 0
% 7.11/1.47 # Propositional check unsatisfiable : 0
% 7.11/1.47 # Propositional clauses : 0
% 7.11/1.47 # Propositional clauses after purity: 0
% 7.11/1.47 # Propositional unsat core size : 0
% 7.11/1.47 # Propositional preprocessing time : 0.000
% 7.11/1.47 # Propositional encoding time : 0.000
% 7.11/1.47 # Propositional solver time : 0.000
% 7.11/1.47 # Success case prop preproc time : 0.000
% 7.11/1.47 # Success case prop encoding time : 0.000
% 7.11/1.47 # Success case prop solver time : 0.000
% 7.11/1.47 # Current number of processed clauses : 734
% 7.11/1.47 # Positive orientable unit clauses : 69
% 7.11/1.47 # Positive unorientable unit clauses: 0
% 7.11/1.47 # Negative unit clauses : 6
% 7.11/1.47 # Non-unit-clauses : 659
% 7.11/1.47 # Current number of unprocessed clauses: 49799
% 7.11/1.47 # ...number of literals in the above : 144757
% 7.11/1.47 # Current number of archived formulas : 0
% 7.11/1.47 # Current number of archived clauses : 11
% 7.11/1.47 # Clause-clause subsumption calls (NU) : 91941
% 7.11/1.47 # Rec. Clause-clause subsumption calls : 87646
% 7.11/1.47 # Non-unit clause-clause subsumptions : 3573
% 7.11/1.47 # Unit Clause-clause subsumption calls : 3238
% 7.11/1.47 # Rewrite failures with RHS unbound : 0
% 7.11/1.47 # BW rewrite match attempts : 5528
% 7.11/1.47 # BW rewrite match successes : 4
% 7.11/1.47 # Condensation attempts : 0
% 7.11/1.47 # Condensation successes : 0
% 7.11/1.47 # Termbank termtop insertions : 947343
% 7.11/1.47
% 7.11/1.47 # -------------------------------------------------
% 7.11/1.47 # User time : 0.781 s
% 7.11/1.47 # System time : 0.027 s
% 7.11/1.47 # Total time : 0.808 s
% 7.11/1.47 # Maximum resident set size: 1592 pages
% 7.11/1.47
% 7.11/1.47 # -------------------------------------------------
% 7.11/1.47 # User time : 4.203 s
% 7.11/1.47 # System time : 0.094 s
% 7.11/1.47 # Total time : 4.296 s
% 7.11/1.47 # Maximum resident set size: 1672 pages
% 7.11/1.47 % E---3.1 exiting
% 7.11/1.47 % E---3.1 exiting
%------------------------------------------------------------------------------