TSTP Solution File: LCL041-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : LCL041-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.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 : 300s
% WCLimit  : 300s
% DateTime : Sat May  4 08:17:30 EDT 2024

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   18 (  13 unt;   0 nHn;   9 RR)
%            Number of literals    :   26 (   0 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   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   :   31 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
    ( is_a_theorem(X2)
    | ~ is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.4bSW7yzD1Y/E---3.1_3629.p',condensed_detachment) ).

cnf(cn_21,axiom,
    is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3)))),
    file('/export/starexec/sandbox/tmp/tmp.4bSW7yzD1Y/E---3.1_3629.p',cn_21) ).

cnf(cn_54,axiom,
    is_a_theorem(implies(implies(X1,X2),implies(implies(not(X1),X2),X2))),
    file('/export/starexec/sandbox/tmp/tmp.4bSW7yzD1Y/E---3.1_3629.p',cn_54) ).

cnf(cn_3,axiom,
    is_a_theorem(implies(X1,implies(not(X1),X2))),
    file('/export/starexec/sandbox/tmp/tmp.4bSW7yzD1Y/E---3.1_3629.p',cn_3) ).

cnf(prove_cn_30,negated_conjecture,
    ~ is_a_theorem(implies(implies(a,implies(a,b)),implies(a,b))),
    file('/export/starexec/sandbox/tmp/tmp.4bSW7yzD1Y/E---3.1_3629.p',prove_cn_30) ).

cnf(c_0_5,plain,
    ( is_a_theorem(X2)
    | ~ is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(X1) ),
    inference(fof_simplification,[status(thm)],[condensed_detachment]) ).

cnf(c_0_6,plain,
    ( is_a_theorem(X2)
    | ~ is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(X1) ),
    c_0_5 ).

cnf(c_0_7,axiom,
    is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3)))),
    cn_21 ).

cnf(c_0_8,plain,
    ( is_a_theorem(implies(X1,implies(X2,X3)))
    | ~ is_a_theorem(implies(X2,implies(X1,X3))) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_9,axiom,
    is_a_theorem(implies(implies(X1,X2),implies(implies(not(X1),X2),X2))),
    cn_54 ).

cnf(c_0_10,plain,
    is_a_theorem(implies(implies(not(X1),X2),implies(implies(X1,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,negated_conjecture,
    ~ is_a_theorem(implies(implies(a,implies(a,b)),implies(a,b))),
    inference(fof_simplification,[status(thm)],[prove_cn_30]) ).

cnf(c_0_13,plain,
    ( is_a_theorem(implies(implies(X1,X2),X2))
    | ~ is_a_theorem(implies(not(X1),X2)) ),
    inference(spm,[status(thm)],[c_0_6,c_0_10]) ).

cnf(c_0_14,plain,
    is_a_theorem(implies(not(X1),implies(X1,X2))),
    inference(spm,[status(thm)],[c_0_8,c_0_11]) ).

cnf(c_0_15,negated_conjecture,
    ~ is_a_theorem(implies(implies(a,implies(a,b)),implies(a,b))),
    c_0_12 ).

cnf(c_0_16,plain,
    is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2))),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_17,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : LCL041-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 08:49:41 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  Running first-order theorem proving
% 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 --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.4bSW7yzD1Y/E---3.1_3629.p
% 0.21/0.52  # Version: 3.1.0
% 0.21/0.52  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.52  # Starting sh5l with 300s (1) cores
% 0.21/0.52  # sh5l with pid 3737 completed with status 0
% 0.21/0.52  # Result found by sh5l
% 0.21/0.52  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.52  # Starting sh5l with 300s (1) cores
% 0.21/0.52  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.21/0.52  # Search class: FHUNM-FFSF21-MFFFFFNN
% 0.21/0.52  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.52  # Starting G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with 163s (1) cores
% 0.21/0.52  # G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with pid 3744 completed with status 0
% 0.21/0.52  # Result found by G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S
% 0.21/0.52  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.52  # Starting sh5l with 300s (1) cores
% 0.21/0.52  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.21/0.52  # Search class: FHUNM-FFSF21-MFFFFFNN
% 0.21/0.52  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.52  # Starting G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with 163s (1) cores
% 0.21/0.52  # Preprocessing time       : 0.001 s
% 0.21/0.52  # Presaturation interreduction done
% 0.21/0.52  
% 0.21/0.52  # Proof found!
% 0.21/0.52  # SZS status Unsatisfiable
% 0.21/0.52  # SZS output start CNFRefutation
% See solution above
% 0.21/0.52  # Parsed axioms                        : 7
% 0.21/0.52  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.52  # Initial clauses                      : 7
% 0.21/0.52  # Removed in clause preprocessing      : 0
% 0.21/0.52  # Initial clauses in saturation        : 7
% 0.21/0.52  # Processed clauses                    : 285
% 0.21/0.52  # ...of these trivial                  : 2
% 0.21/0.52  # ...subsumed                          : 151
% 0.21/0.52  # ...remaining for further processing  : 132
% 0.21/0.52  # Other redundant clauses eliminated   : 0
% 0.21/0.52  # Clauses deleted for lack of memory   : 0
% 0.21/0.52  # Backward-subsumed                    : 3
% 0.21/0.52  # Backward-rewritten                   : 2
% 0.21/0.52  # Generated clauses                    : 897
% 0.21/0.52  # ...of the previous two non-redundant : 653
% 0.21/0.52  # ...aggressively subsumed             : 0
% 0.21/0.52  # Contextual simplify-reflections      : 0
% 0.21/0.52  # Paramodulations                      : 897
% 0.21/0.52  # Factorizations                       : 0
% 0.21/0.52  # NegExts                              : 0
% 0.21/0.52  # Equation resolutions                 : 0
% 0.21/0.52  # Disequality decompositions           : 0
% 0.21/0.52  # Total rewrite steps                  : 219
% 0.21/0.52  # ...of those cached                   : 141
% 0.21/0.52  # Propositional unsat checks           : 0
% 0.21/0.52  #    Propositional check models        : 0
% 0.21/0.52  #    Propositional check unsatisfiable : 0
% 0.21/0.52  #    Propositional clauses             : 0
% 0.21/0.52  #    Propositional clauses after purity: 0
% 0.21/0.52  #    Propositional unsat core size     : 0
% 0.21/0.52  #    Propositional preprocessing time  : 0.000
% 0.21/0.52  #    Propositional encoding time       : 0.000
% 0.21/0.52  #    Propositional solver time         : 0.000
% 0.21/0.52  #    Success case prop preproc time    : 0.000
% 0.21/0.52  #    Success case prop encoding time   : 0.000
% 0.21/0.52  #    Success case prop solver time     : 0.000
% 0.21/0.52  # Current number of processed clauses  : 120
% 0.21/0.52  #    Positive orientable unit clauses  : 64
% 0.21/0.52  #    Positive unorientable unit clauses: 0
% 0.21/0.52  #    Negative unit clauses             : 3
% 0.21/0.52  #    Non-unit-clauses                  : 53
% 0.21/0.52  # Current number of unprocessed clauses: 348
% 0.21/0.52  # ...number of literals in the above   : 533
% 0.21/0.52  # Current number of archived formulas  : 0
% 0.21/0.52  # Current number of archived clauses   : 12
% 0.21/0.52  # Clause-clause subsumption calls (NU) : 1501
% 0.21/0.52  # Rec. Clause-clause subsumption calls : 1105
% 0.21/0.52  # Non-unit clause-clause subsumptions  : 151
% 0.21/0.52  # Unit Clause-clause subsumption calls : 62
% 0.21/0.52  # Rewrite failures with RHS unbound    : 0
% 0.21/0.52  # BW rewrite match attempts            : 1373
% 0.21/0.52  # BW rewrite match successes           : 3
% 0.21/0.52  # Condensation attempts                : 0
% 0.21/0.52  # Condensation successes               : 0
% 0.21/0.52  # Termbank termtop insertions          : 10284
% 0.21/0.52  # Search garbage collected termcells   : 8
% 0.21/0.52  
% 0.21/0.52  # -------------------------------------------------
% 0.21/0.52  # User time                : 0.017 s
% 0.21/0.52  # System time              : 0.003 s
% 0.21/0.52  # Total time               : 0.020 s
% 0.21/0.52  # Maximum resident set size: 1624 pages
% 0.21/0.52  
% 0.21/0.52  # -------------------------------------------------
% 0.21/0.52  # User time                : 0.018 s
% 0.21/0.52  # System time              : 0.004 s
% 0.21/0.52  # Total time               : 0.023 s
% 0.21/0.52  # Maximum resident set size: 1700 pages
% 0.21/0.52  % E---3.1 exiting
% 0.40/0.52  % E exiting
%------------------------------------------------------------------------------