TSTP Solution File: SYO178^5 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYO178^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n024.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 : Tue May 21 08:44:50 EDT 2024

% Result   : Theorem 0.14s 0.41s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   56 (   7 unt;  11 typ;   0 def)
%            Number of atoms       :  283 (   0 equ;   0 cnn)
%            Maximal formula atoms :   58 (   6 avg)
%            Number of connectives :  378 ( 140   ~; 187   |;  51   &;   0   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   5 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  11 usr;  12 con; 0-0 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_22,type,
    cM: $o ).

thf(decl_23,type,
    cN: $o ).

thf(decl_24,type,
    cG: $o ).

thf(decl_25,type,
    cK: $o ).

thf(decl_26,type,
    cE: $o ).

thf(decl_27,type,
    cR: $o ).

thf(decl_28,type,
    cF: $o ).

thf(decl_29,type,
    cC: $o ).

thf(decl_30,type,
    cB: $o ).

thf(decl_31,type,
    cP: $o ).

thf(decl_32,type,
    cL: $o ).

thf(cPORKCHOP1C,conjecture,
    ~ ( cL
      & cE
      & ( ~ cF
        | cB )
      & ( ~ cL
        | ~ cP
        | cM )
      & ( ~ cG
        | cR
        | cM )
      & ( cG
        | cP
        | cR )
      & ( ~ cK
        | ~ cB
        | cC )
      & ( ~ cL
        | ~ cM
        | cC )
      & ( cG
        | cR
        | cK )
      & ( ~ cR
        | ~ cE
        | ~ cC )
      & ( ~ cR
        | cN
        | cF
        | cP )
      & ( ~ cK
        | ~ cL
        | ~ cE
        | ~ cM )
      & ( ~ cG
        | cK
        | cM
        | ~ cB )
      & ( ~ cN
        | cP
        | cF
        | cC )
      & ( ~ cG
        | ~ cB
        | cR
        | ~ cC )
      & ( cK
        | ~ cN
        | ~ cM
        | cF )
      & ( ~ cR
        | cK
        | cM
        | cG )
      & ( ~ cE
        | cK
        | ~ cG
        | cN
        | ~ cM ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cPORKCHOP1C) ).

thf(c_0_1,negated_conjecture,
    ~ ~ ( cL
        & cE
        & ( ~ cF
          | cB )
        & ( ~ cL
          | ~ cP
          | cM )
        & ( ~ cG
          | cR
          | cM )
        & ( cG
          | cP
          | cR )
        & ( ~ cK
          | ~ cB
          | cC )
        & ( ~ cL
          | ~ cM
          | cC )
        & ( cG
          | cR
          | cK )
        & ( ~ cR
          | ~ cE
          | ~ cC )
        & ( ~ cR
          | cN
          | cF
          | cP )
        & ( ~ cK
          | ~ cL
          | ~ cE
          | ~ cM )
        & ( ~ cG
          | cK
          | cM
          | ~ cB )
        & ( ~ cN
          | cP
          | cF
          | cC )
        & ( ~ cG
          | ~ cB
          | cR
          | ~ cC )
        & ( cK
          | ~ cN
          | ~ cM
          | cF )
        & ( ~ cR
          | cK
          | cM
          | cG )
        & ( ~ cE
          | cK
          | ~ cG
          | cN
          | ~ cM ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cPORKCHOP1C])]) ).

thf(c_0_2,negated_conjecture,
    ( cL
    & cE
    & ( ~ cF
      | cB )
    & ( ~ cL
      | ~ cP
      | cM )
    & ( ~ cG
      | cR
      | cM )
    & ( cG
      | cP
      | cR )
    & ( ~ cK
      | ~ cB
      | cC )
    & ( ~ cL
      | ~ cM
      | cC )
    & ( cG
      | cR
      | cK )
    & ( ~ cR
      | ~ cE
      | ~ cC )
    & ( ~ cR
      | cN
      | cF
      | cP )
    & ( ~ cK
      | ~ cL
      | ~ cE
      | ~ cM )
    & ( ~ cG
      | cK
      | cM
      | ~ cB )
    & ( ~ cN
      | cP
      | cF
      | cC )
    & ( ~ cG
      | ~ cB
      | cR
      | ~ cC )
    & ( cK
      | ~ cN
      | ~ cM
      | cF )
    & ( ~ cR
      | cK
      | cM
      | cG )
    & ( ~ cE
      | cK
      | ~ cG
      | cN
      | ~ cM ) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])]) ).

thf(c_0_3,negated_conjecture,
    ( ~ cK
    | ~ cL
    | ~ cE
    | ~ cM ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_4,negated_conjecture,
    cE,
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_5,negated_conjecture,
    cL,
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_6,negated_conjecture,
    ( ~ cR
    | ~ cE
    | ~ cC ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_7,negated_conjecture,
    ( cC
    | ~ cL
    | ~ cM ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_8,negated_conjecture,
    ( cK
    | cF
    | ~ cN
    | ~ cM ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_9,negated_conjecture,
    ( ~ cM
    | ~ cK ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_4]),c_0_5])]) ).

thf(c_0_10,negated_conjecture,
    ( cK
    | cN
    | ~ cE
    | ~ cG
    | ~ cM ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_11,negated_conjecture,
    ( ~ cR
    | ~ cC ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_4])]) ).

thf(c_0_12,negated_conjecture,
    ( cC
    | ~ cM ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_5])]) ).

thf(c_0_13,negated_conjecture,
    ( cK
    | cM
    | cG
    | ~ cR ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_14,negated_conjecture,
    ( cG
    | cR
    | cK ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_15,negated_conjecture,
    ( cF
    | ~ cM
    | ~ cN ),
    inference(csr,[status(thm)],[c_0_8,c_0_9]) ).

thf(c_0_16,negated_conjecture,
    ( cN
    | ~ cM
    | ~ cG ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_4])]),c_0_9]) ).

thf(c_0_17,negated_conjecture,
    ( ~ cR
    | ~ cM ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

thf(c_0_18,negated_conjecture,
    ( cK
    | cG
    | cM ),
    inference(csr,[status(thm)],[c_0_13,c_0_14]) ).

thf(c_0_19,negated_conjecture,
    ( cM
    | ~ cL
    | ~ cP ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_20,negated_conjecture,
    ( cR
    | ~ cG
    | ~ cB
    | ~ cC ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_21,negated_conjecture,
    ( cB
    | ~ cF ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_22,negated_conjecture,
    ( cF
    | ~ cM
    | ~ cG ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

thf(c_0_23,negated_conjecture,
    ( cK
    | cG ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_14]),c_0_18]) ).

thf(c_0_24,negated_conjecture,
    ( cM
    | ~ cP ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_5])]) ).

thf(c_0_25,negated_conjecture,
    ( cG
    | cP
    | cR ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_26,negated_conjecture,
    ( cR
    | cM
    | ~ cG ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_27,negated_conjecture,
    ( ~ cG
    | ~ cC
    | ~ cB ),
    inference(csr,[status(thm)],[c_0_20,c_0_11]) ).

thf(c_0_28,negated_conjecture,
    ( cB
    | ~ cM
    | ~ cG ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

thf(c_0_29,negated_conjecture,
    ( cG
    | ~ cM ),
    inference(spm,[status(thm)],[c_0_9,c_0_23]) ).

thf(c_0_30,negated_conjecture,
    ( cP
    | cF
    | cC
    | ~ cN ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_31,negated_conjecture,
    ( cN
    | cF
    | cP
    | ~ cR ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_32,negated_conjecture,
    ( cR
    | cM ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).

thf(c_0_33,negated_conjecture,
    ~ cM,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_12]),c_0_29]) ).

thf(c_0_34,negated_conjecture,
    ( cP
    | cF
    | ~ cR ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_11]) ).

thf(c_0_35,negated_conjecture,
    cR,
    inference(sr,[status(thm)],[c_0_32,c_0_33]) ).

thf(c_0_36,negated_conjecture,
    ( cF
    | cP ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]) ).

thf(c_0_37,negated_conjecture,
    ( cK
    | cM
    | ~ cG
    | ~ cB ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_38,negated_conjecture,
    ( cC
    | ~ cK
    | ~ cB ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_39,negated_conjecture,
    ( cP
    | cB ),
    inference(spm,[status(thm)],[c_0_21,c_0_36]) ).

thf(c_0_40,negated_conjecture,
    ~ cC,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_35])]) ).

thf(c_0_41,negated_conjecture,
    ( cK
    | cM
    | ~ cB ),
    inference(csr,[status(thm)],[c_0_37,c_0_18]) ).

thf(c_0_42,negated_conjecture,
    ( cP
    | ~ cK ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).

thf(c_0_43,negated_conjecture,
    cP,
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_39]),c_0_33]),c_0_42]) ).

thf(c_0_44,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_43])]),c_0_33]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : SYO178^5 : TPTP v8.2.0. Released v4.0.0.
% 0.02/0.10  % Command    : run_E %s %d THM
% 0.09/0.30  % Computer : n024.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   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Mon May 20 08:46:07 EDT 2024
% 0.09/0.30  % CPUTime    : 
% 0.14/0.40  Running higher-order theorem proving
% 0.14/0.40  Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.41  # Version: 3.1.0-ho
% 0.14/0.41  # Preprocessing class: HSMSSLSSSSSNFFN.
% 0.14/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41  # Starting new_ho_10 with 1500s (5) cores
% 0.14/0.41  # Starting sh5l with 300s (1) cores
% 0.14/0.41  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.41  # Starting new_bool_2 with 300s (1) cores
% 0.14/0.41  # new_bool_1 with pid 6020 completed with status 0
% 0.14/0.41  # Result found by new_bool_1
% 0.14/0.41  # Preprocessing class: HSMSSLSSSSSNFFN.
% 0.14/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41  # Starting new_ho_10 with 1500s (5) cores
% 0.14/0.41  # Starting sh5l with 300s (1) cores
% 0.14/0.41  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.41  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.41  # Search class: HGHNF-FFSS00-SFFFFFNN
% 0.14/0.41  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.41  # Starting new_ho_10 with 181s (1) cores
% 0.14/0.41  # new_ho_10 with pid 6025 completed with status 0
% 0.14/0.41  # Result found by new_ho_10
% 0.14/0.41  # Preprocessing class: HSMSSLSSSSSNFFN.
% 0.14/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41  # Starting new_ho_10 with 1500s (5) cores
% 0.14/0.41  # Starting sh5l with 300s (1) cores
% 0.14/0.41  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.41  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.41  # Search class: HGHNF-FFSS00-SFFFFFNN
% 0.14/0.41  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.41  # Starting new_ho_10 with 181s (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                        : 12
% 0.14/0.41  # Removed by relevancy pruning/SinE    : 11
% 0.14/0.41  # Initial clauses                      : 18
% 0.14/0.41  # Removed in clause preprocessing      : 0
% 0.14/0.41  # Initial clauses in saturation        : 18
% 0.14/0.41  # Processed clauses                    : 53
% 0.14/0.41  # ...of these trivial                  : 0
% 0.14/0.41  # ...subsumed                          : 3
% 0.14/0.41  # ...remaining for further processing  : 50
% 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                    : 15
% 0.14/0.41  # Backward-rewritten                   : 6
% 0.14/0.41  # Generated clauses                    : 21
% 0.14/0.41  # ...of the previous two non-redundant : 19
% 0.14/0.41  # ...aggressively subsumed             : 0
% 0.14/0.41  # Contextual simplify-reflections      : 11
% 0.14/0.41  # Paramodulations                      : 20
% 0.14/0.41  # Factorizations                       : 0
% 0.14/0.41  # NegExts                              : 0
% 0.14/0.41  # Equation resolutions                 : 0
% 0.14/0.41  # Disequality decompositions           : 0
% 0.14/0.41  # Total rewrite steps                  : 12
% 0.14/0.41  # ...of those cached                   : 8
% 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  : 10
% 0.14/0.41  #    Positive orientable unit clauses  : 4
% 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: 1
% 0.14/0.41  # ...number of literals in the above   : 1
% 0.14/0.41  # Current number of archived formulas  : 0
% 0.14/0.41  # Current number of archived clauses   : 40
% 0.14/0.41  # Clause-clause subsumption calls (NU) : 221
% 0.14/0.41  # Rec. Clause-clause subsumption calls : 184
% 0.14/0.41  # Non-unit clause-clause subsumptions  : 19
% 0.14/0.41  # Unit Clause-clause subsumption calls : 16
% 0.14/0.41  # Rewrite failures with RHS unbound    : 0
% 0.14/0.41  # BW rewrite match attempts            : 2
% 0.14/0.41  # BW rewrite match successes           : 2
% 0.14/0.41  # Condensation attempts                : 53
% 0.14/0.41  # Condensation successes               : 0
% 0.14/0.41  # Termbank termtop insertions          : 1599
% 0.14/0.41  # Search garbage collected termcells   : 2
% 0.14/0.41  
% 0.14/0.41  # -------------------------------------------------
% 0.14/0.41  # User time                : 0.005 s
% 0.14/0.41  # System time              : 0.000 s
% 0.14/0.41  # Total time               : 0.005 s
% 0.14/0.41  # Maximum resident set size: 1776 pages
% 0.14/0.41  
% 0.14/0.41  # -------------------------------------------------
% 0.14/0.41  # User time                : 0.007 s
% 0.14/0.41  # System time              : 0.001 s
% 0.14/0.41  # Total time               : 0.008 s
% 0.14/0.41  # Maximum resident set size: 1692 pages
% 0.14/0.41  % E---3.1 exiting
% 0.29/0.42  % E exiting
%------------------------------------------------------------------------------