TSTP Solution File: LCL064-2 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : LCL064-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n006.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 18:11:25 EDT 2023

% Result   : Timeout 272.27s 300.19s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   17 (   9 unt;   0 nHn;  10 RR)
%            Number of literals    :   29 (   0 equ;  14 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   37 (   4 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.yMP8Ypt3U6/E---3.1_1601.p',condensed_detachment) ).

cnf(cn_35,axiom,
    is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3)))),
    file('/export/starexec/sandbox/tmp/tmp.yMP8Ypt3U6/E---3.1_1601.p',cn_35) ).

cnf(cn_18,axiom,
    is_a_theorem(implies(X1,implies(X2,X1))),
    file('/export/starexec/sandbox/tmp/tmp.yMP8Ypt3U6/E---3.1_1601.p',cn_18) ).

cnf(prove_cn_1,negated_conjecture,
    ~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
    file('/export/starexec/sandbox/tmp/tmp.yMP8Ypt3U6/E---3.1_1601.p',prove_cn_1) ).

cnf(c_0_4,axiom,
    ( is_a_theorem(X2)
    | ~ is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(X1) ),
    condensed_detachment ).

cnf(c_0_5,axiom,
    is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3)))),
    cn_35 ).

cnf(c_0_6,plain,
    ( is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))
    | ~ is_a_theorem(implies(X1,implies(X2,X3))) ),
    inference(spm,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_7,axiom,
    is_a_theorem(implies(X1,implies(X2,X1))),
    cn_18 ).

cnf(c_0_8,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(implies(X1,implies(X3,X2)))
    | ~ is_a_theorem(implies(X1,X3)) ),
    inference(spm,[status(thm)],[c_0_4,c_0_6]) ).

cnf(c_0_9,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(X2) ),
    inference(spm,[status(thm)],[c_0_4,c_0_7]) ).

cnf(c_0_10,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(implies(X1,X3))
    | ~ is_a_theorem(implies(X3,X2)) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_11,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(implies(implies(X3,X1),X2)) ),
    inference(spm,[status(thm)],[c_0_10,c_0_7]) ).

cnf(c_0_12,plain,
    ( is_a_theorem(implies(X1,implies(X2,X3)))
    | ~ is_a_theorem(implies(X2,implies(X1,X3))) ),
    inference(spm,[status(thm)],[c_0_11,c_0_6]) ).

cnf(c_0_13,plain,
    is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2)))),
    inference(spm,[status(thm)],[c_0_11,c_0_5]) ).

cnf(c_0_14,negated_conjecture,
    ~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
    prove_cn_1 ).

cnf(c_0_15,plain,
    is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : LCL064-2 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n006.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 2400
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Mon Oct  2 12:26:55 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.16/0.41  Running first-order theorem proving
% 0.16/0.41  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.yMP8Ypt3U6/E---3.1_1601.p
% 272.27/300.19  # Version: 3.1pre001
% 272.27/300.19  # Preprocessing class: FSSSSMSSSSSNFFN.
% 272.27/300.19  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 272.27/300.19  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 272.27/300.19  # Starting new_bool_3 with 300s (1) cores
% 272.27/300.19  # Starting new_bool_1 with 300s (1) cores
% 272.27/300.19  # Starting sh5l with 300s (1) cores
% 272.27/300.19  # new_bool_1 with pid 1683 completed with status 0
% 272.27/300.19  # Result found by new_bool_1
% 272.27/300.19  # Preprocessing class: FSSSSMSSSSSNFFN.
% 272.27/300.19  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 272.27/300.19  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 272.27/300.19  # Starting new_bool_3 with 300s (1) cores
% 272.27/300.19  # Starting new_bool_1 with 300s (1) cores
% 272.27/300.19  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 272.27/300.19  # Search class: FHUNS-FFSF22-MFFFFFNN
% 272.27/300.19  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 272.27/300.19  # Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 181s (1) cores
% 272.27/300.19  # G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with pid 1687 completed with status 0
% 272.27/300.19  # Result found by G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y
% 272.27/300.19  # Preprocessing class: FSSSSMSSSSSNFFN.
% 272.27/300.19  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 272.27/300.19  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 272.27/300.19  # Starting new_bool_3 with 300s (1) cores
% 272.27/300.19  # Starting new_bool_1 with 300s (1) cores
% 272.27/300.19  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 272.27/300.19  # Search class: FHUNS-FFSF22-MFFFFFNN
% 272.27/300.19  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 272.27/300.19  # Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 181s (1) cores
% 272.27/300.19  # Preprocessing time       : 0.001 s
% 272.27/300.19  
% 272.27/300.19  # Proof found!
% 272.27/300.19  # SZS status Unsatisfiable
% 272.27/300.19  # SZS output start CNFRefutation
% See solution above
% 272.27/300.19  # Parsed axioms                        : 4
% 272.27/300.19  # Removed by relevancy pruning/SinE    : 0
% 272.27/300.19  # Initial clauses                      : 4
% 272.27/300.19  # Removed in clause preprocessing      : 0
% 272.27/300.19  # Initial clauses in saturation        : 4
% 272.27/300.19  # Processed clauses                    : 103
% 272.27/300.19  # ...of these trivial                  : 1
% 272.27/300.19  # ...subsumed                          : 51
% 272.27/300.19  # ...remaining for further processing  : 51
% 272.27/300.19  # Other redundant clauses eliminated   : 0
% 272.27/300.19  # Clauses deleted for lack of memory   : 0
% 272.27/300.19  # Backward-subsumed                    : 0
% 272.27/300.19  # Backward-rewritten                   : 2
% 272.27/300.19  # Generated clauses                    : 352
% 272.27/300.19  # ...of the previous two non-redundant : 197
% 272.27/300.19  # ...aggressively subsumed             : 0
% 272.27/300.19  # Contextual simplify-reflections      : 0
% 272.27/300.19  # Paramodulations                      : 352
% 272.27/300.19  # Factorizations                       : 0
% 272.27/300.19  # NegExts                              : 0
% 272.27/300.19  # Equation resolutions                 : 0
% 272.27/300.19  # Total rewrite steps                  : 137
% 272.27/300.19  # Propositional unsat checks           : 0
% 272.27/300.19  #    Propositional check models        : 0
% 272.27/300.19  #    Propositional check unsatisfiable : 0
% 272.27/300.19  #    Propositional clauses             : 0
% 272.27/300.19  #    Propositional clauses after purity: 0
% 272.27/300.19  #    Propositional unsat core size     : 0
% 272.27/300.19  #    Propositional preprocessing time  : 0.000
% 272.27/300.19  #    Propositional encoding time       : 0.000
% 272.27/300.19  #    Propositional solver time         : 0.000
% 272.27/300.19  #    Success case prop preproc time    : 0.000
% 272.27/300.19  #    Success case prop encoding time   : 0.000
% 272.27/300.19  #    Success case prop solver time     : 0.000
% 272.27/300.19  # Current number of processed clauses  : 49
% 272.27/300.19  #    Positive orientable unit clauses  : 24
% 272.27/300.19  #    Positive unorientable unit clauses: 0
% 272.27/300.19  #    Negative unit clauses             : 5
% 272.27/300.19  #    Non-unit-clauses                  : 20
% 272.27/300.19  # Current number of unprocessed clauses: 95
% 272.27/300.19  # ...number of literals in the above   : 181
% 272.27/300.19  # Current number of archived formulas  : 0
% 272.27/300.19  # Current number of archived clauses   : 2
% 272.27/300.19  # Clause-clause subsumption calls (NU) : 221
% 272.27/300.19  # Rec. Clause-clause subsumption calls : 221
% 272.27/300.19  # Non-unit clause-clause subsumptions  : 49
% 272.27/300.19  # Unit Clause-clause subsumption calls : 34
% 272.27/300.19  # Rewrite failures with RHS unbound    : 0
% 272.27/300.19  # BW rewrite match attempts            : 284
% 272.27/300.19  # BW rewrite match successes           : 2
% 272.27/300.19  # Condensation attempts                : 103
% 272.27/300.19  # Condensation successes               : 3
% 272.27/300.19  # Termbank termtop insertions          : 3428
% 272.27/300.19  
% 272.27/300.19  # -------------------------------------------------
% 272.27/300.19  # User time                : 0.006 s
% 272.27/300.19  # System time              : 0.000 s
% 272.27/300.19  # Total time               : 0.007 s
% 272.27/300.19  # Maximum resident set size: 1644 pages
% 272.27/300.19  
% 272.27/300.19  # -------------------------------------------------
% 272.27/300.19  # User time                : 0.007 s
% 272.27/300.19  # System time              : 0.001 s
% 272.27/300.19  # Total time               : 0.008 s
% 272.27/300.19  # Maximum resident set size: 1676 pages
% 272.27/300.19  % E---3.1 exiting
% 272.27/300.19  % E---3.1 exiting
%------------------------------------------------------------------------------