TSTP Solution File: SYN062+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SYN062+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n016.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 20:13:22 EDT 2023

% Result   : Theorem 0.14s 0.41s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (   6 unt;   0 def)
%            Number of atoms       :   43 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   41 (  16   ~;  13   |;   7   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   11 (   0 sgn;   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(pel32,conjecture,
    ! [X1] :
      ( ( big_f(X1)
        & big_k(X1) )
     => big_j(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.sWIU2VdxDf/E---3.1_15943.p',pel32) ).

fof(pel32_3,axiom,
    ! [X1] :
      ( big_k(X1)
     => big_h(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.sWIU2VdxDf/E---3.1_15943.p',pel32_3) ).

fof(pel32_2,axiom,
    ! [X1] :
      ( ( big_i(X1)
        & big_h(X1) )
     => big_j(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.sWIU2VdxDf/E---3.1_15943.p',pel32_2) ).

fof(pel32_1,axiom,
    ! [X1] :
      ( ( big_f(X1)
        & ( big_g(X1)
          | big_h(X1) ) )
     => big_i(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.sWIU2VdxDf/E---3.1_15943.p',pel32_1) ).

fof(c_0_4,negated_conjecture,
    ~ ! [X1] :
        ( ( big_f(X1)
          & big_k(X1) )
       => big_j(X1) ),
    inference(assume_negation,[status(cth)],[pel32]) ).

fof(c_0_5,plain,
    ! [X4] :
      ( ~ big_k(X4)
      | big_h(X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel32_3])]) ).

fof(c_0_6,negated_conjecture,
    ( big_f(esk1_0)
    & big_k(esk1_0)
    & ~ big_j(esk1_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

fof(c_0_7,plain,
    ! [X3] :
      ( ~ big_i(X3)
      | ~ big_h(X3)
      | big_j(X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel32_2])]) ).

cnf(c_0_8,plain,
    ( big_h(X1)
    | ~ big_k(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    big_k(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    ~ big_j(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,plain,
    ( big_j(X1)
    | ~ big_i(X1)
    | ~ big_h(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,negated_conjecture,
    big_h(esk1_0),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

fof(c_0_13,plain,
    ! [X2] :
      ( ( ~ big_g(X2)
        | ~ big_f(X2)
        | big_i(X2) )
      & ( ~ big_h(X2)
        | ~ big_f(X2)
        | big_i(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel32_1])])]) ).

cnf(c_0_14,negated_conjecture,
    ~ big_i(esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).

cnf(c_0_15,plain,
    ( big_i(X1)
    | ~ big_h(X1)
    | ~ big_f(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_16,negated_conjecture,
    big_f(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_17,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_12]),c_0_16])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem    : SYN062+1 : TPTP v8.1.2. Released v2.0.0.
% 0.04/0.10  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n016.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 2400
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Mon Oct  2 18:51:21 EDT 2023
% 0.10/0.30  % CPUTime    : 
% 0.14/0.40  Running first-order theorem proving
% 0.14/0.40  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.sWIU2VdxDf/E---3.1_15943.p
% 0.14/0.41  # Version: 3.1pre001
% 0.14/0.41  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.41  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.41  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.41  # Starting sh5l with 300s (1) cores
% 0.14/0.41  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 16021 completed with status 0
% 0.14/0.41  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.14/0.41  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.41  # No SInE strategy applied
% 0.14/0.41  # Search class: FHUNF-FFSF00-SFFFFFNN
% 0.14/0.41  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.41  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.14/0.41  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.14/0.41  # Starting new_bool_3 with 136s (1) cores
% 0.14/0.41  # Starting new_bool_1 with 136s (1) cores
% 0.14/0.41  # Starting sh5l with 136s (1) cores
% 0.14/0.41  # SAT001_MinMin_p005000_rr_RG with pid 16027 completed with status 0
% 0.14/0.41  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.14/0.41  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.41  # No SInE strategy applied
% 0.14/0.41  # Search class: FHUNF-FFSF00-SFFFFFNN
% 0.14/0.41  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.41  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.14/0.41  # Preprocessing time       : 0.001 s
% 0.14/0.41  # Presaturation interreduction done
% 0.14/0.41  
% 0.14/0.41  # Proof found!
% 0.14/0.41  # SZS status Theorem
% 0.14/0.41  # SZS output start CNFRefutation
% See solution above
% 0.14/0.41  # Parsed axioms                        : 4
% 0.14/0.41  # Removed by relevancy pruning/SinE    : 0
% 0.14/0.41  # Initial clauses                      : 7
% 0.14/0.41  # Removed in clause preprocessing      : 0
% 0.14/0.41  # Initial clauses in saturation        : 7
% 0.14/0.41  # Processed clauses                    : 16
% 0.14/0.41  # ...of these trivial                  : 0
% 0.14/0.41  # ...subsumed                          : 0
% 0.14/0.41  # ...remaining for further processing  : 16
% 0.14/0.41  # Other redundant clauses eliminated   : 0
% 0.14/0.41  # Clauses deleted for lack of memory   : 0
% 0.14/0.41  # Backward-subsumed                    : 0
% 0.14/0.41  # Backward-rewritten                   : 0
% 0.14/0.41  # Generated clauses                    : 3
% 0.14/0.41  # ...of the previous two non-redundant : 2
% 0.14/0.41  # ...aggressively subsumed             : 0
% 0.14/0.41  # Contextual simplify-reflections      : 0
% 0.14/0.41  # Paramodulations                      : 3
% 0.14/0.41  # Factorizations                       : 0
% 0.14/0.41  # NegExts                              : 0
% 0.14/0.41  # Equation resolutions                 : 0
% 0.14/0.41  # Total rewrite steps                  : 3
% 0.14/0.41  # Propositional unsat checks           : 0
% 0.14/0.41  #    Propositional check models        : 0
% 0.14/0.41  #    Propositional check unsatisfiable : 0
% 0.14/0.41  #    Propositional clauses             : 0
% 0.14/0.41  #    Propositional clauses after purity: 0
% 0.14/0.41  #    Propositional unsat core size     : 0
% 0.14/0.41  #    Propositional preprocessing time  : 0.000
% 0.14/0.41  #    Propositional encoding time       : 0.000
% 0.14/0.41  #    Propositional solver time         : 0.000
% 0.14/0.41  #    Success case prop preproc time    : 0.000
% 0.14/0.41  #    Success case prop encoding time   : 0.000
% 0.14/0.41  #    Success case prop solver time     : 0.000
% 0.14/0.41  # Current number of processed clauses  : 9
% 0.14/0.41  #    Positive orientable unit clauses  : 3
% 0.14/0.41  #    Positive unorientable unit clauses: 0
% 0.14/0.41  #    Negative unit clauses             : 2
% 0.14/0.41  #    Non-unit-clauses                  : 4
% 0.14/0.41  # Current number of unprocessed clauses: 0
% 0.14/0.41  # ...number of literals in the above   : 0
% 0.14/0.41  # Current number of archived formulas  : 0
% 0.14/0.41  # Current number of archived clauses   : 7
% 0.14/0.41  # Clause-clause subsumption calls (NU) : 0
% 0.14/0.41  # Rec. Clause-clause subsumption calls : 0
% 0.14/0.41  # Non-unit clause-clause subsumptions  : 0
% 0.14/0.41  # Unit Clause-clause subsumption calls : 0
% 0.14/0.41  # Rewrite failures with RHS unbound    : 0
% 0.14/0.41  # BW rewrite match attempts            : 0
% 0.14/0.41  # BW rewrite match successes           : 0
% 0.14/0.41  # Condensation attempts                : 0
% 0.14/0.41  # Condensation successes               : 0
% 0.14/0.41  # Termbank termtop insertions          : 351
% 0.14/0.41  
% 0.14/0.41  # -------------------------------------------------
% 0.14/0.41  # User time                : 0.003 s
% 0.14/0.41  # System time              : 0.002 s
% 0.14/0.41  # Total time               : 0.004 s
% 0.14/0.41  # Maximum resident set size: 1684 pages
% 0.14/0.41  
% 0.14/0.41  # -------------------------------------------------
% 0.14/0.41  # User time                : 0.008 s
% 0.14/0.41  # System time              : 0.005 s
% 0.14/0.41  # Total time               : 0.012 s
% 0.14/0.41  # Maximum resident set size: 1676 pages
% 0.14/0.41  % E---3.1 exiting
% 0.14/0.41  % E---3.1 exiting
%------------------------------------------------------------------------------