TSTP Solution File: SYO234^5 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYO234^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n032.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 08:45:13 EDT 2024

% Result   : Theorem 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   5 unt;   4 typ;   0 def)
%            Number of atoms       :   13 (   4 equ;   0 cnn)
%            Maximal formula atoms :    1 (   2 avg)
%            Number of connectives :   23 (   3   ~;   4   |;   0   &;  16   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   12 (   8   ^   2   !;   2   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_sort1,type,
    d: $tType ).

thf(decl_sort2,type,
    c: $tType ).

thf(decl_22,type,
    cB: d > c > $o ).

thf(decl_23,type,
    cA: c > d > $o ).

thf(cSV4,conjecture,
    ? [X1: c > d > $o] :
      ( X1
      = ( ^ [X2: c,X3: d] :
            ( ( cA @ X2 @ X3 )
            | ( cB @ X3 @ X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cSV4) ).

thf(c_0_1,negated_conjecture,
    ~ ? [X1: c > d > $o] :
        ( X1
        = ( ^ [Z0: c,Z1: d] :
              ( ( cA @ Z0 @ Z1 )
              | ( cB @ Z1 @ Z0 ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cSV4])]) ).

thf(c_0_2,negated_conjecture,
    ! [X5: c > d > $o] :
      ( X5
     != ( ^ [Z0: c,Z1: d] :
            ( ( cA @ Z0 @ Z1 )
            | ( cB @ Z1 @ Z0 ) ) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).

thf(c_0_3,negated_conjecture,
    ! [X1: c > d > $o] :
      ( X1
     != ( ^ [Z0: c,Z1: d] :
            ( ( cA @ Z0 @ Z1 )
            | ( cB @ Z1 @ Z0 ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_4,negated_conjecture,
    $false,
    inference(er,[status(thm)],[c_0_3]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SYO234^5 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.09  % Command    : run_E %s %d THM
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit   : 300
% 0.09/0.28  % WCLimit    : 300
% 0.09/0.28  % DateTime   : Mon May 20 10:41:22 EDT 2024
% 0.09/0.28  % CPUTime    : 
% 0.13/0.36  Running higher-order theorem proving
% 0.13/0.36  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
% 0.13/0.37  # Version: 3.1.0-ho
% 0.13/0.37  # Preprocessing class: HSSSSMSSSSSNSSN.
% 0.13/0.37  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.37  # Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.13/0.37  # Starting post_as_ho10 with 300s (1) cores
% 0.13/0.37  # Starting new_bool_9 with 300s (1) cores
% 0.13/0.37  # Starting sh5l with 300s (1) cores
% 0.13/0.37  # new_bool_9 with pid 13871 completed with status 0
% 0.13/0.37  # Result found by new_bool_9
% 0.13/0.37  # Preprocessing class: HSSSSMSSSSSNSSN.
% 0.13/0.37  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.37  # Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.13/0.37  # Starting post_as_ho10 with 300s (1) cores
% 0.13/0.37  # Starting new_bool_9 with 300s (1) cores
% 0.13/0.37  # SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 0.13/0.37  # Search class: HUUPF-FFSF00-MSSFFFBN
% 0.13/0.37  # partial match(2): HUUPF-FFSF00-SSSFFFNN
% 0.13/0.37  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.37  # Starting new_ho_10 with 181s (1) cores
% 0.13/0.37  # new_ho_10 with pid 13873 completed with status 0
% 0.13/0.37  # Result found by new_ho_10
% 0.13/0.37  # Preprocessing class: HSSSSMSSSSSNSSN.
% 0.13/0.37  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.37  # Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.13/0.37  # Starting post_as_ho10 with 300s (1) cores
% 0.13/0.37  # Starting new_bool_9 with 300s (1) cores
% 0.13/0.37  # SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 0.13/0.37  # Search class: HUUPF-FFSF00-MSSFFFBN
% 0.13/0.37  # partial match(2): HUUPF-FFSF00-SSSFFFNN
% 0.13/0.37  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.37  # Starting new_ho_10 with 181s (1) cores
% 0.13/0.37  # Preprocessing time       : 0.001 s
% 0.13/0.37  # Presaturation interreduction done
% 0.13/0.37  
% 0.13/0.37  # Proof found!
% 0.13/0.37  # SZS status Theorem
% 0.13/0.37  # SZS output start CNFRefutation
% See solution above
% 0.13/0.37  # Parsed axioms                        : 5
% 0.13/0.37  # Removed by relevancy pruning/SinE    : 4
% 0.13/0.37  # Initial clauses                      : 1
% 0.13/0.37  # Removed in clause preprocessing      : 0
% 0.13/0.37  # Initial clauses in saturation        : 1
% 0.13/0.37  # Processed clauses                    : 1
% 0.13/0.37  # ...of these trivial                  : 0
% 0.13/0.37  # ...subsumed                          : 0
% 0.13/0.37  # ...remaining for further processing  : 1
% 0.13/0.37  # Other redundant clauses eliminated   : 1
% 0.13/0.37  # Clauses deleted for lack of memory   : 0
% 0.13/0.37  # Backward-subsumed                    : 0
% 0.13/0.37  # Backward-rewritten                   : 0
% 0.13/0.37  # Generated clauses                    : 1
% 0.13/0.37  # ...of the previous two non-redundant : 0
% 0.13/0.37  # ...aggressively subsumed             : 0
% 0.13/0.37  # Contextual simplify-reflections      : 0
% 0.13/0.37  # Paramodulations                      : 0
% 0.13/0.37  # Factorizations                       : 0
% 0.13/0.37  # NegExts                              : 0
% 0.13/0.37  # Equation resolutions                 : 1
% 0.13/0.37  # Disequality decompositions           : 0
% 0.13/0.37  # Total rewrite steps                  : 0
% 0.13/0.37  # ...of those cached                   : 0
% 0.13/0.37  # Propositional unsat checks           : 0
% 0.13/0.37  #    Propositional check models        : 0
% 0.13/0.37  #    Propositional check unsatisfiable : 0
% 0.13/0.37  #    Propositional clauses             : 0
% 0.13/0.37  #    Propositional clauses after purity: 0
% 0.13/0.37  #    Propositional unsat core size     : 0
% 0.13/0.37  #    Propositional preprocessing time  : 0.000
% 0.13/0.37  #    Propositional encoding time       : 0.000
% 0.13/0.37  #    Propositional solver time         : 0.000
% 0.13/0.37  #    Success case prop preproc time    : 0.000
% 0.13/0.37  #    Success case prop encoding time   : 0.000
% 0.13/0.37  #    Success case prop solver time     : 0.000
% 0.13/0.37  # Current number of processed clauses  : 0
% 0.13/0.37  #    Positive orientable unit clauses  : 0
% 0.13/0.37  #    Positive unorientable unit clauses: 0
% 0.13/0.37  #    Negative unit clauses             : 0
% 0.13/0.37  #    Non-unit-clauses                  : 0
% 0.13/0.37  # Current number of unprocessed clauses: 0
% 0.13/0.37  # ...number of literals in the above   : 0
% 0.13/0.37  # Current number of archived formulas  : 0
% 0.13/0.37  # Current number of archived clauses   : 0
% 0.13/0.37  # Clause-clause subsumption calls (NU) : 0
% 0.13/0.37  # Rec. Clause-clause subsumption calls : 0
% 0.13/0.37  # Non-unit clause-clause subsumptions  : 0
% 0.13/0.37  # Unit Clause-clause subsumption calls : 0
% 0.13/0.37  # Rewrite failures with RHS unbound    : 0
% 0.13/0.37  # BW rewrite match attempts            : 0
% 0.13/0.37  # BW rewrite match successes           : 0
% 0.13/0.37  # Condensation attempts                : 1
% 0.13/0.37  # Condensation successes               : 0
% 0.13/0.37  # Termbank termtop insertions          : 100
% 0.13/0.37  # Search garbage collected termcells   : 14
% 0.13/0.37  
% 0.13/0.37  # -------------------------------------------------
% 0.13/0.37  # User time                : 0.002 s
% 0.13/0.37  # System time              : 0.000 s
% 0.13/0.37  # Total time               : 0.002 s
% 0.13/0.37  # Maximum resident set size: 1812 pages
% 0.13/0.37  
% 0.13/0.37  # -------------------------------------------------
% 0.13/0.37  # User time                : 0.002 s
% 0.13/0.37  # System time              : 0.002 s
% 0.13/0.37  # Total time               : 0.004 s
% 0.13/0.37  # Maximum resident set size: 1720 pages
% 0.13/0.37  % E---3.1 exiting
% 0.13/0.37  % E exiting
%------------------------------------------------------------------------------