TSTP Solution File: LCL359-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : LCL359-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n004.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 08:18:39 EDT 2024

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   15 (   6 unt;   0 nHn;  10 RR)
%            Number of literals    :   30 (   0 equ;  18 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   36 (   0 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.qPyNXL3zSI/E---3.1_27708.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.qPyNXL3zSI/E---3.1_27708.p',cn_1) ).

cnf(prove_cn_08,negated_conjecture,
    ~ is_a_theorem(implies(implies(x,y),implies(implies(z,x),implies(implies(y,u),implies(z,u))))),
    file('/export/starexec/sandbox2/tmp/tmp.qPyNXL3zSI/E---3.1_27708.p',prove_cn_08) ).

cnf(c_0_3,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_4,plain,
    ( is_a_theorem(X2)
    | ~ is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(X1) ),
    c_0_3 ).

cnf(c_0_5,axiom,
    is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
    cn_1 ).

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

cnf(c_0_7,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_4,c_0_6]) ).

cnf(c_0_8,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_7,c_0_6]) ).

cnf(c_0_9,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_7,c_0_5]) ).

cnf(c_0_10,negated_conjecture,
    ~ is_a_theorem(implies(implies(x,y),implies(implies(z,x),implies(implies(y,u),implies(z,u))))),
    inference(fof_simplification,[status(thm)],[prove_cn_08]) ).

cnf(c_0_11,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_8,c_0_9]) ).

cnf(c_0_12,negated_conjecture,
    ~ is_a_theorem(implies(implies(x,y),implies(implies(z,x),implies(implies(y,u),implies(z,u))))),
    c_0_10 ).

cnf(c_0_13,plain,
    ( is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,implies(X2,X5)))))
    | ~ is_a_theorem(implies(X1,implies(X4,implies(X3,X5)))) ),
    inference(spm,[status(thm)],[c_0_11,c_0_5]) ).

cnf(c_0_14,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_5])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : LCL359-1 : TPTP v8.1.2. Released v2.3.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.13/0.33  % Computer : n004.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Fri May  3 08:49:18 EDT 2024
% 0.13/0.33  % CPUTime    : 
% 0.19/0.49  Running first-order theorem proving
% 0.19/0.49  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.qPyNXL3zSI/E---3.1_27708.p
% 0.19/0.51  # Version: 3.1.0
% 0.19/0.51  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.51  # Starting sh5l with 300s (1) cores
% 0.19/0.51  # new_bool_1 with pid 27846 completed with status 0
% 0.19/0.51  # Result found by new_bool_1
% 0.19/0.51  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.51  # Search class: FHUNF-FFSF22-MFFFFFNN
% 0.19/0.51  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.51  # Starting G-E--_060_C18_F1_PI_AE_Q4_CS_SP_S0Y with 163s (1) cores
% 0.19/0.51  # G-E--_060_C18_F1_PI_AE_Q4_CS_SP_S0Y with pid 27848 completed with status 0
% 0.19/0.51  # Result found by G-E--_060_C18_F1_PI_AE_Q4_CS_SP_S0Y
% 0.19/0.51  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.51  # Search class: FHUNF-FFSF22-MFFFFFNN
% 0.19/0.51  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.51  # Starting G-E--_060_C18_F1_PI_AE_Q4_CS_SP_S0Y with 163s (1) cores
% 0.19/0.51  # Preprocessing time       : 0.002 s
% 0.19/0.51  
% 0.19/0.51  # Proof found!
% 0.19/0.51  # SZS status Unsatisfiable
% 0.19/0.51  # SZS output start CNFRefutation
% See solution above
% 0.19/0.51  # Parsed axioms                        : 5
% 0.19/0.51  # Removed by relevancy pruning/SinE    : 2
% 0.19/0.51  # Initial clauses                      : 3
% 0.19/0.51  # Removed in clause preprocessing      : 0
% 0.19/0.51  # Initial clauses in saturation        : 3
% 0.19/0.51  # Processed clauses                    : 23
% 0.19/0.51  # ...of these trivial                  : 0
% 0.19/0.51  # ...subsumed                          : 4
% 0.19/0.51  # ...remaining for further processing  : 19
% 0.19/0.51  # Other redundant clauses eliminated   : 0
% 0.19/0.51  # Clauses deleted for lack of memory   : 0
% 0.19/0.51  # Backward-subsumed                    : 0
% 0.19/0.51  # Backward-rewritten                   : 0
% 0.19/0.51  # Generated clauses                    : 78
% 0.19/0.51  # ...of the previous two non-redundant : 68
% 0.19/0.51  # ...aggressively subsumed             : 0
% 0.19/0.51  # Contextual simplify-reflections      : 0
% 0.19/0.51  # Paramodulations                      : 78
% 0.19/0.51  # Factorizations                       : 0
% 0.19/0.51  # NegExts                              : 0
% 0.19/0.51  # Equation resolutions                 : 0
% 0.19/0.51  # Disequality decompositions           : 0
% 0.19/0.51  # Total rewrite steps                  : 1
% 0.19/0.51  # ...of those cached                   : 0
% 0.19/0.51  # Propositional unsat checks           : 0
% 0.19/0.51  #    Propositional check models        : 0
% 0.19/0.51  #    Propositional check unsatisfiable : 0
% 0.19/0.51  #    Propositional clauses             : 0
% 0.19/0.51  #    Propositional clauses after purity: 0
% 0.19/0.51  #    Propositional unsat core size     : 0
% 0.19/0.51  #    Propositional preprocessing time  : 0.000
% 0.19/0.51  #    Propositional encoding time       : 0.000
% 0.19/0.51  #    Propositional solver time         : 0.000
% 0.19/0.51  #    Success case prop preproc time    : 0.000
% 0.19/0.51  #    Success case prop encoding time   : 0.000
% 0.19/0.51  #    Success case prop solver time     : 0.000
% 0.19/0.51  # Current number of processed clauses  : 19
% 0.19/0.51  #    Positive orientable unit clauses  : 1
% 0.19/0.51  #    Positive unorientable unit clauses: 0
% 0.19/0.51  #    Negative unit clauses             : 1
% 0.19/0.51  #    Non-unit-clauses                  : 17
% 0.19/0.51  # Current number of unprocessed clauses: 46
% 0.19/0.51  # ...number of literals in the above   : 128
% 0.19/0.51  # Current number of archived formulas  : 0
% 0.19/0.51  # Current number of archived clauses   : 0
% 0.19/0.51  # Clause-clause subsumption calls (NU) : 122
% 0.19/0.51  # Rec. Clause-clause subsumption calls : 122
% 0.19/0.51  # Non-unit clause-clause subsumptions  : 4
% 0.19/0.51  # Unit Clause-clause subsumption calls : 0
% 0.19/0.51  # Rewrite failures with RHS unbound    : 0
% 0.19/0.51  # BW rewrite match attempts            : 0
% 0.19/0.51  # BW rewrite match successes           : 0
% 0.19/0.51  # Condensation attempts                : 0
% 0.19/0.51  # Condensation successes               : 0
% 0.19/0.51  # Termbank termtop insertions          : 1587
% 0.19/0.51  # Search garbage collected termcells   : 17
% 0.19/0.51  
% 0.19/0.51  # -------------------------------------------------
% 0.19/0.51  # User time                : 0.005 s
% 0.19/0.51  # System time              : 0.002 s
% 0.19/0.51  # Total time               : 0.008 s
% 0.19/0.51  # Maximum resident set size: 1612 pages
% 0.19/0.51  
% 0.19/0.51  # -------------------------------------------------
% 0.19/0.51  # User time                : 0.007 s
% 0.19/0.51  # System time              : 0.005 s
% 0.19/0.51  # Total time               : 0.012 s
% 0.19/0.51  # Maximum resident set size: 1696 pages
% 0.19/0.51  % E---3.1 exiting
% 0.19/0.51  % E exiting
%------------------------------------------------------------------------------