TSTP Solution File: SYO091^5 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYO091^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n010.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 08:44:37 EDT 2024

% Result   : Theorem 0.19s 0.49s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   30 (   4 unt;   3 typ;   0 def)
%            Number of atoms       :  276 (   0 equ;   0 cnn)
%            Maximal formula atoms :  192 (  10 avg)
%            Number of connectives :  399 ( 138   ~; 220   |;  31   &;   0   @)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   38 (   6 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   3 usr;   4 con; 0-0 aty)
%            Number of variables   :    6 (   0   ^   6   !;   0   ?;   6   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_22,type,
    epred1_0: $o ).

thf(decl_23,type,
    epred2_0: $o ).

thf(decl_24,type,
    epred3_0: $o ).

thf(cTHM50Q,conjecture,
    ! [X1: $o,X2: $o,X3: $o] :
      ( ( ( X1
        <=> X2 )
      <=> X3 )
    <=> ( X1
      <=> ( X2
        <=> X3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM50Q) ).

thf(c_0_1,negated_conjecture,
    ~ ! [X1: $o,X2: $o,X3: $o] :
        ( ( ( X1
          <=> X2 )
        <=> X3 )
      <=> ( X1
        <=> ( X2
          <=> X3 ) ) ),
    inference(assume_negation,[status(cth)],[cTHM50Q]) ).

thf(c_0_2,negated_conjecture,
    ( ( ~ epred2_0
      | ~ epred3_0
      | ~ epred1_0
      | ~ epred1_0
      | ~ epred2_0
      | ~ epred3_0 )
    & ( epred2_0
      | epred3_0
      | ~ epred1_0
      | ~ epred1_0
      | ~ epred2_0
      | ~ epred3_0 )
    & ( ~ epred2_0
      | epred3_0
      | epred1_0
      | ~ epred1_0
      | ~ epred2_0
      | ~ epred3_0 )
    & ( ~ epred3_0
      | epred2_0
      | epred1_0
      | ~ epred1_0
      | ~ epred2_0
      | ~ epred3_0 )
    & ( ~ epred2_0
      | ~ epred3_0
      | ~ epred1_0
      | epred1_0
      | epred2_0
      | ~ epred3_0 )
    & ( epred2_0
      | epred3_0
      | ~ epred1_0
      | epred1_0
      | epred2_0
      | ~ epred3_0 )
    & ( ~ epred2_0
      | epred3_0
      | epred1_0
      | epred1_0
      | epred2_0
      | ~ epred3_0 )
    & ( ~ epred3_0
      | epred2_0
      | epred1_0
      | epred1_0
      | epred2_0
      | ~ epred3_0 )
    & ( ~ epred2_0
      | ~ epred3_0
      | ~ epred1_0
      | ~ epred1_0
      | epred2_0
      | epred3_0 )
    & ( epred2_0
      | epred3_0
      | ~ epred1_0
      | ~ epred1_0
      | epred2_0
      | epred3_0 )
    & ( ~ epred2_0
      | epred3_0
      | epred1_0
      | ~ epred1_0
      | epred2_0
      | epred3_0 )
    & ( ~ epred3_0
      | epred2_0
      | epred1_0
      | ~ epred1_0
      | epred2_0
      | epred3_0 )
    & ( ~ epred2_0
      | ~ epred3_0
      | ~ epred1_0
      | ~ epred2_0
      | epred1_0
      | epred3_0 )
    & ( epred2_0
      | epred3_0
      | ~ epred1_0
      | ~ epred2_0
      | epred1_0
      | epred3_0 )
    & ( ~ epred2_0
      | epred3_0
      | epred1_0
      | ~ epred2_0
      | epred1_0
      | epred3_0 )
    & ( ~ epred3_0
      | epred2_0
      | epred1_0
      | ~ epred2_0
      | epred1_0
      | epred3_0 )
    & ( ~ epred2_0
      | epred3_0
      | ~ epred1_0
      | ~ epred1_0
      | ~ epred2_0
      | epred3_0 )
    & ( ~ epred3_0
      | epred2_0
      | ~ epred1_0
      | ~ epred1_0
      | ~ epred2_0
      | epred3_0 )
    & ( ~ epred2_0
      | ~ epred3_0
      | epred1_0
      | ~ epred1_0
      | ~ epred2_0
      | epred3_0 )
    & ( epred2_0
      | epred3_0
      | epred1_0
      | ~ epred1_0
      | ~ epred2_0
      | epred3_0 )
    & ( ~ epred2_0
      | epred3_0
      | ~ epred1_0
      | epred1_0
      | epred2_0
      | epred3_0 )
    & ( ~ epred3_0
      | epred2_0
      | ~ epred1_0
      | epred1_0
      | epred2_0
      | epred3_0 )
    & ( ~ epred2_0
      | ~ epred3_0
      | epred1_0
      | epred1_0
      | epred2_0
      | epred3_0 )
    & ( epred2_0
      | epred3_0
      | epred1_0
      | epred1_0
      | epred2_0
      | epred3_0 )
    & ( ~ epred2_0
      | epred3_0
      | ~ epred1_0
      | ~ epred1_0
      | epred2_0
      | ~ epred3_0 )
    & ( ~ epred3_0
      | epred2_0
      | ~ epred1_0
      | ~ epred1_0
      | epred2_0
      | ~ epred3_0 )
    & ( ~ epred2_0
      | ~ epred3_0
      | epred1_0
      | ~ epred1_0
      | epred2_0
      | ~ epred3_0 )
    & ( epred2_0
      | epred3_0
      | epred1_0
      | ~ epred1_0
      | epred2_0
      | ~ epred3_0 )
    & ( ~ epred2_0
      | epred3_0
      | ~ epred1_0
      | ~ epred2_0
      | epred1_0
      | ~ epred3_0 )
    & ( ~ epred3_0
      | epred2_0
      | ~ epred1_0
      | ~ epred2_0
      | epred1_0
      | ~ epred3_0 )
    & ( ~ epred2_0
      | ~ epred3_0
      | epred1_0
      | ~ epred2_0
      | epred1_0
      | ~ epred3_0 )
    & ( epred2_0
      | epred3_0
      | epred1_0
      | ~ epred2_0
      | epred1_0
      | ~ epred3_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).

thf(c_0_3,negated_conjecture,
    ( epred2_0
    | epred1_0
    | epred1_0
    | epred2_0
    | ~ epred3_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_4,negated_conjecture,
    ( epred2_0
    | epred3_0
    | epred1_0
    | epred1_0
    | epred2_0
    | epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_5,negated_conjecture,
    ( epred2_0
    | epred2_0
    | ~ epred3_0
    | ~ epred1_0
    | ~ epred1_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_6,negated_conjecture,
    ( epred1_0
    | epred2_0
    | ~ epred3_0 ),
    inference(cn,[status(thm)],[c_0_3]) ).

thf(c_0_7,negated_conjecture,
    ( epred1_0
    | epred2_0
    | epred3_0 ),
    inference(cn,[status(thm)],[c_0_4]) ).

thf(c_0_8,negated_conjecture,
    ( epred3_0
    | epred3_0
    | ~ epred2_0
    | ~ epred1_0
    | ~ epred1_0
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_9,negated_conjecture,
    ( ~ epred2_0
    | ~ epred3_0
    | ~ epred1_0
    | ~ epred1_0
    | ~ epred2_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_10,negated_conjecture,
    ( epred2_0
    | epred3_0
    | epred2_0
    | epred3_0
    | ~ epred1_0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_11,negated_conjecture,
    ( epred2_0
    | ~ epred1_0
    | ~ epred3_0 ),
    inference(cn,[status(thm)],[c_0_5]) ).

thf(c_0_12,negated_conjecture,
    ( epred2_0
    | epred1_0 ),
    inference(csr,[status(thm)],[c_0_6,c_0_7]) ).

thf(c_0_13,negated_conjecture,
    ( epred3_0
    | ~ epred1_0
    | ~ epred2_0 ),
    inference(cn,[status(thm)],[c_0_8]) ).

thf(c_0_14,negated_conjecture,
    ( ~ epred1_0
    | ~ epred2_0
    | ~ epred3_0 ),
    inference(cn,[status(thm)],[c_0_9]) ).

thf(c_0_15,negated_conjecture,
    ( epred2_0
    | epred3_0
    | ~ epred1_0 ),
    inference(cn,[status(thm)],[c_0_10]) ).

thf(c_0_16,negated_conjecture,
    ( epred2_0
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[c_0_11,c_0_12]) ).

thf(c_0_17,negated_conjecture,
    ( epred1_0
    | epred1_0
    | ~ epred2_0
    | ~ epred3_0
    | ~ epred2_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_18,negated_conjecture,
    ( epred3_0
    | epred1_0
    | epred1_0
    | epred3_0
    | ~ epred2_0
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_19,negated_conjecture,
    ( ~ epred1_0
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[c_0_13,c_0_14]) ).

thf(c_0_20,negated_conjecture,
    epred2_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_15,c_0_12]),c_0_16]) ).

thf(c_0_21,negated_conjecture,
    ( epred1_0
    | ~ epred2_0
    | ~ epred3_0 ),
    inference(cn,[status(thm)],[c_0_17]) ).

thf(c_0_22,negated_conjecture,
    ( epred1_0
    | epred3_0
    | ~ epred2_0 ),
    inference(cn,[status(thm)],[c_0_18]) ).

thf(c_0_23,negated_conjecture,
    ~ epred1_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]) ).

thf(c_0_24,negated_conjecture,
    ( epred1_0
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[c_0_21,c_0_12]) ).

thf(c_0_25,negated_conjecture,
    epred3_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_20])]),c_0_23]) ).

thf(c_0_26,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]),c_0_23]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYO091^5 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 10:52:23 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.19/0.48  Running higher-order theorem proving
% 0.19/0.48  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
% 0.19/0.49  # Version: 3.1.0-ho
% 0.19/0.49  # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.49  # Starting ho_unfolding_6 with 300s (1) cores
% 0.19/0.49  # Starting sh4l with 300s (1) cores
% 0.19/0.49  # Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.19/0.49  # ehoh_best_nonlift_rwall with pid 10251 completed with status 0
% 0.19/0.49  # Result found by ehoh_best_nonlift_rwall
% 0.19/0.49  # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.49  # Starting ho_unfolding_6 with 300s (1) cores
% 0.19/0.49  # Starting sh4l with 300s (1) cores
% 0.19/0.49  # Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.19/0.49  # No SInE strategy applied
% 0.19/0.49  # Search class: HGHNF-FFSF00-SFFFFFNN
% 0.19/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49  # Starting new_ho_10 with 181s (1) cores
% 0.19/0.49  # new_ho_10 with pid 10258 completed with status 0
% 0.19/0.49  # Result found by new_ho_10
% 0.19/0.49  # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.49  # Starting ho_unfolding_6 with 300s (1) cores
% 0.19/0.49  # Starting sh4l with 300s (1) cores
% 0.19/0.49  # Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.19/0.49  # No SInE strategy applied
% 0.19/0.49  # Search class: HGHNF-FFSF00-SFFFFFNN
% 0.19/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49  # Starting new_ho_10 with 181s (1) cores
% 0.19/0.49  # Preprocessing time       : 0.001 s
% 0.19/0.49  # Presaturation interreduction done
% 0.19/0.49  
% 0.19/0.49  # Proof found!
% 0.19/0.49  # SZS status Theorem
% 0.19/0.49  # SZS output start CNFRefutation
% See solution above
% 0.19/0.49  # Parsed axioms                        : 1
% 0.19/0.49  # Removed by relevancy pruning/SinE    : 0
% 0.19/0.49  # Initial clauses                      : 32
% 0.19/0.49  # Removed in clause preprocessing      : 24
% 0.19/0.49  # Initial clauses in saturation        : 8
% 0.19/0.49  # Processed clauses                    : 9
% 0.19/0.49  # ...of these trivial                  : 0
% 0.19/0.49  # ...subsumed                          : 0
% 0.19/0.49  # ...remaining for further processing  : 9
% 0.19/0.49  # Other redundant clauses eliminated   : 0
% 0.19/0.49  # Clauses deleted for lack of memory   : 0
% 0.19/0.49  # Backward-subsumed                    : 2
% 0.19/0.49  # Backward-rewritten                   : 4
% 0.19/0.49  # Generated clauses                    : 0
% 0.19/0.49  # ...of the previous two non-redundant : 1
% 0.19/0.49  # ...aggressively subsumed             : 0
% 0.19/0.49  # Contextual simplify-reflections      : 6
% 0.19/0.49  # Paramodulations                      : 0
% 0.19/0.49  # Factorizations                       : 0
% 0.19/0.49  # NegExts                              : 0
% 0.19/0.49  # Equation resolutions                 : 0
% 0.19/0.49  # Disequality decompositions           : 0
% 0.19/0.49  # Total rewrite steps                  : 5
% 0.19/0.49  # ...of those cached                   : 3
% 0.19/0.49  # Propositional unsat checks           : 0
% 0.19/0.49  #    Propositional check models        : 0
% 0.19/0.49  #    Propositional check unsatisfiable : 0
% 0.19/0.49  #    Propositional clauses             : 0
% 0.19/0.49  #    Propositional clauses after purity: 0
% 0.19/0.49  #    Propositional unsat core size     : 0
% 0.19/0.49  #    Propositional preprocessing time  : 0.000
% 0.19/0.49  #    Propositional encoding time       : 0.000
% 0.19/0.49  #    Propositional solver time         : 0.000
% 0.19/0.49  #    Success case prop preproc time    : 0.000
% 0.19/0.49  #    Success case prop encoding time   : 0.000
% 0.19/0.49  #    Success case prop solver time     : 0.000
% 0.19/0.49  # Current number of processed clauses  : 3
% 0.19/0.49  #    Positive orientable unit clauses  : 2
% 0.19/0.49  #    Positive unorientable unit clauses: 0
% 0.19/0.49  #    Negative unit clauses             : 1
% 0.19/0.49  #    Non-unit-clauses                  : 0
% 0.19/0.49  # Current number of unprocessed clauses: 0
% 0.19/0.49  # ...number of literals in the above   : 0
% 0.19/0.49  # Current number of archived formulas  : 0
% 0.19/0.49  # Current number of archived clauses   : 6
% 0.19/0.49  # Clause-clause subsumption calls (NU) : 8
% 0.19/0.49  # Rec. Clause-clause subsumption calls : 8
% 0.19/0.49  # Non-unit clause-clause subsumptions  : 8
% 0.19/0.49  # Unit Clause-clause subsumption calls : 0
% 0.19/0.49  # Rewrite failures with RHS unbound    : 0
% 0.19/0.49  # BW rewrite match attempts            : 2
% 0.19/0.49  # BW rewrite match successes           : 2
% 0.19/0.49  # Condensation attempts                : 9
% 0.19/0.49  # Condensation successes               : 0
% 0.19/0.49  # Termbank termtop insertions          : 1712
% 0.19/0.49  # Search garbage collected termcells   : 348
% 0.19/0.49  
% 0.19/0.49  # -------------------------------------------------
% 0.19/0.49  # User time                : 0.003 s
% 0.19/0.49  # System time              : 0.001 s
% 0.19/0.49  # Total time               : 0.004 s
% 0.19/0.49  # Maximum resident set size: 1788 pages
% 0.19/0.49  
% 0.19/0.49  # -------------------------------------------------
% 0.19/0.49  # User time                : 0.005 s
% 0.19/0.49  # System time              : 0.003 s
% 0.19/0.49  # Total time               : 0.007 s
% 0.19/0.49  # Maximum resident set size: 1668 pages
% 0.19/0.49  % E---3.1 exiting
% 0.19/0.50  % E exiting
%------------------------------------------------------------------------------