TSTP Solution File: LCL415-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : LCL415-1 : TPTP v8.1.2. Released v2.5.0.
% 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 18:24:49 EDT 2023

% Result   : Satisfiable 0.15s 0.41s
% Output   : Saturation 0.15s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named condensed_detachment)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_0_3,axiom,
    ( is_a_theorem(X2)
    | ~ is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(X1) ),
    condensed_detachment,
    [final] ).

cnf(c_0_4,axiom,
    is_a_theorem(implies(implies(X1,X2),implies(implies(X2,implies(implies(X3,X1),X4)),implies(X1,X4)))),
    candidate,
    [final] ).

cnf(c_0_5,plain,
    ( is_a_theorem(implies(implies(X1,implies(implies(X2,X3),X4)),implies(X3,X4)))
    | ~ is_a_theorem(implies(X3,X1)) ),
    inference(spm,[status(thm)],[c_0_3,c_0_4]),
    [final] ).

cnf(c_0_6,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(implies(X3,implies(implies(X4,X1),X2)))
    | ~ is_a_theorem(implies(X1,X3)) ),
    inference(spm,[status(thm)],[c_0_3,c_0_5]),
    [final] ).

cnf(c_0_7,plain,
    ( is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))
    | ~ is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X4))) ),
    inference(spm,[status(thm)],[c_0_6,c_0_4]),
    [final] ).

cnf(c_0_8,plain,
    ( is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X3,X2),X4)),implies(X2,implies(implies(X3,X2),X4))))
    | ~ is_a_theorem(implies(X2,implies(X1,X2))) ),
    inference(spm,[status(thm)],[c_0_7,c_0_5]),
    [final] ).

cnf(c_0_9,plain,
    ( is_a_theorem(implies(X1,implies(implies(X2,X1),X3)))
    | ~ is_a_theorem(implies(implies(X4,X1),implies(implies(X2,X1),X3)))
    | ~ is_a_theorem(implies(X1,implies(X4,X1))) ),
    inference(spm,[status(thm)],[c_0_3,c_0_8]),
    [final] ).

cnf(c_0_10,plain,
    ( is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(implies(implies(X1,X2),X3),implies(implies(X1,X2),X3)),implies(X2,X3))))
    | ~ is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,implies(implies(X1,X2),X3)))) ),
    inference(spm,[status(thm)],[c_0_9,c_0_4]),
    [final] ).

cnf(c_0_11,plain,
    ( is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(implies(X1,X2),X3)),implies(X2,X3)))
    | ~ is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,implies(implies(X1,X2),X3))))
    | ~ is_a_theorem(implies(implies(X1,X2),X3)) ),
    inference(spm,[status(thm)],[c_0_3,c_0_10]),
    [final] ).

cnf(c_0_12,plain,
    ( is_a_theorem(implies(implies(implies(implies(X1,X2),X2),implies(implies(X1,X2),X2)),implies(X2,implies(implies(X1,X2),X2))))
    | ~ is_a_theorem(implies(implies(implies(X1,X2),X2),implies(X2,implies(implies(X1,X2),X2))))
    | ~ is_a_theorem(implies(implies(X1,X2),X2)) ),
    inference(spm,[status(thm)],[c_0_7,c_0_11]),
    [final] ).

cnf(c_0_13,plain,
    ( is_a_theorem(implies(X1,implies(implies(X2,implies(X3,X1)),implies(X3,X1))))
    | ~ is_a_theorem(implies(implies(implies(X2,implies(X3,X1)),implies(X3,X1)),implies(implies(X3,X1),implies(implies(X2,implies(X3,X1)),implies(X3,X1)))))
    | ~ is_a_theorem(implies(X1,implies(implies(implies(X2,implies(X3,X1)),implies(X3,X1)),implies(implies(X2,implies(X3,X1)),implies(X3,X1)))))
    | ~ is_a_theorem(implies(implies(X2,implies(X3,X1)),implies(X3,X1))) ),
    inference(spm,[status(thm)],[c_0_6,c_0_12]),
    [final] ).

cnf(c_0_14,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(implies(implies(implies(X3,implies(X4,X1)),X2),implies(implies(X4,X1),implies(implies(X3,implies(X4,X1)),X2))))
    | ~ is_a_theorem(implies(X1,implies(implies(implies(X3,implies(X4,X1)),X2),implies(implies(X3,implies(X4,X1)),X2))))
    | ~ is_a_theorem(implies(implies(X3,implies(X4,X1)),X2)) ),
    inference(spm,[status(thm)],[c_0_6,c_0_11]),
    [final] ).

cnf(c_0_15,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(implies(implies(implies(X3,X1),X2),implies(X1,implies(implies(X3,X1),X2))))
    | ~ is_a_theorem(implies(implies(implies(X3,X1),X2),implies(implies(X3,X1),X2)))
    | ~ is_a_theorem(implies(implies(X3,X1),X2)) ),
    inference(spm,[status(thm)],[c_0_3,c_0_11]),
    [final] ).

cnf(c_0_16,plain,
    ( is_a_theorem(implies(X1,implies(implies(X2,implies(X3,X1)),X4)))
    | ~ is_a_theorem(implies(X1,implies(implies(X5,implies(X3,X1)),implies(implies(X2,implies(X3,X1)),X4))))
    | ~ is_a_theorem(implies(implies(X3,X1),implies(X5,implies(X3,X1)))) ),
    inference(spm,[status(thm)],[c_0_6,c_0_8]),
    [final] ).

cnf(c_0_17,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(implies(X1,implies(X3,implies(implies(X4,implies(X5,X1)),X2))))
    | ~ is_a_theorem(implies(implies(X5,X1),X3)) ),
    inference(spm,[status(thm)],[c_0_6,c_0_5]),
    [final] ).

cnf(c_0_18,negated_conjecture,
    ~ is_a_theorem(implies(a,implies(b,a))),
    prove_required_property,
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem    : LCL415-1 : TPTP v8.1.2. Released v2.5.0.
% 0.05/0.10  % 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 12:31:14 EDT 2023
% 0.09/0.30  % CPUTime    : 
% 0.15/0.40  Running first-order model finding
% 0.15/0.40  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.khqf0UCM66/E---3.1_30287.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 30365 completed with status 1
% 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: FHUNF-FFSF22-MFFFFFNN
% 0.15/0.41  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.41  # Starting G-E--_060_C18_F1_PI_AE_Q4_CS_SP_S0Y with 181s (1) cores
% 0.15/0.41  # G-E--_060_C18_F1_PI_AE_Q4_CS_SP_S0Y with pid 30369 completed with status 1
% 0.15/0.41  # Result found by G-E--_060_C18_F1_PI_AE_Q4_CS_SP_S0Y
% 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: FHUNF-FFSF22-MFFFFFNN
% 0.15/0.41  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.41  # Starting G-E--_060_C18_F1_PI_AE_Q4_CS_SP_S0Y with 181s (1) cores
% 0.15/0.41  # Preprocessing time       : 0.001 s
% 0.15/0.41  
% 0.15/0.41  # No proof found!
% 0.15/0.41  # SZS status Satisfiable
% 0.15/0.41  # SZS output start Saturation
% See solution above
% 0.15/0.41  # Parsed axioms                        : 3
% 0.15/0.41  # Removed by relevancy pruning/SinE    : 0
% 0.15/0.41  # Initial clauses                      : 3
% 0.15/0.41  # Removed in clause preprocessing      : 0
% 0.15/0.41  # Initial clauses in saturation        : 3
% 0.15/0.41  # Processed clauses                    : 20
% 0.15/0.41  # ...of these trivial                  : 0
% 0.15/0.41  # ...subsumed                          : 4
% 0.15/0.41  # ...remaining for further processing  : 16
% 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                   : 0
% 0.15/0.41  # Generated clauses                    : 17
% 0.15/0.41  # ...of the previous two non-redundant : 17
% 0.15/0.41  # ...aggressively subsumed             : 0
% 0.15/0.41  # Contextual simplify-reflections      : 0
% 0.15/0.41  # Paramodulations                      : 17
% 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                  : 0
% 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  : 16
% 0.15/0.41  #    Positive orientable unit clauses  : 1
% 0.15/0.41  #    Positive unorientable unit clauses: 0
% 0.15/0.41  #    Negative unit clauses             : 1
% 0.15/0.41  #    Non-unit-clauses                  : 14
% 0.15/0.41  # Current number of unprocessed clauses: 0
% 0.15/0.41  # ...number of literals in the above   : 0
% 0.15/0.41  # Current number of archived formulas  : 0
% 0.15/0.41  # Current number of archived clauses   : 0
% 0.15/0.41  # Clause-clause subsumption calls (NU) : 153
% 0.15/0.41  # Rec. Clause-clause subsumption calls : 147
% 0.15/0.41  # Non-unit clause-clause subsumptions  : 4
% 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            : 0
% 0.15/0.41  # BW rewrite match successes           : 0
% 0.15/0.41  # Condensation attempts                : 0
% 0.15/0.41  # Condensation successes               : 0
% 0.15/0.41  # Termbank termtop insertions          : 888
% 0.15/0.41  
% 0.15/0.41  # -------------------------------------------------
% 0.15/0.41  # User time                : 0.001 s
% 0.15/0.41  # System time              : 0.003 s
% 0.15/0.41  # Total time               : 0.004 s
% 0.15/0.41  # Maximum resident set size: 1640 pages
% 0.15/0.41  
% 0.15/0.41  # -------------------------------------------------
% 0.15/0.41  # User time                : 0.001 s
% 0.15/0.41  # System time              : 0.005 s
% 0.15/0.41  # Total time               : 0.007 s
% 0.15/0.41  # Maximum resident set size: 1676 pages
% 0.15/0.41  % E---3.1 exiting
%------------------------------------------------------------------------------