TSTP Solution File: SYN077+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SYN077+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 20:29:12 EDT 2023

% Result   : Timeout 408.18s 300.12s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   23 (   3 unt;   0 def)
%            Number of atoms       :   78 (   6 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  100 (  45   ~;  41   |;   9   &)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :   51 (   0 sgn;  13   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(pel54,conjecture,
    ~ ? [X4] :
      ! [X3] :
        ( big_f(X3,X4)
      <=> ! [X5] :
            ( big_f(X3,X5)
           => ? [X1] :
                ( big_f(X1,X5)
                & ~ ? [X2] :
                      ( big_f(X2,X5)
                      & big_f(X2,X1) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.AJ9ZhDD344/E---3.1_13105.p',pel54) ).

fof(pel54_1,axiom,
    ! [X1] :
    ? [X2] :
    ! [X3] :
      ( big_f(X3,X2)
    <=> X3 = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.AJ9ZhDD344/E---3.1_13105.p',pel54_1) ).

fof(c_0_2,negated_conjecture,
    ~ ~ ? [X4] :
        ! [X3] :
          ( big_f(X3,X4)
        <=> ! [X5] :
              ( big_f(X3,X5)
             => ? [X1] :
                  ( big_f(X1,X5)
                  & ~ ? [X2] :
                        ( big_f(X2,X5)
                        & big_f(X2,X1) ) ) ) ),
    inference(assume_negation,[status(cth)],[pel54]) ).

fof(c_0_3,negated_conjecture,
    ! [X7,X8,X10,X12] :
      ( ( big_f(esk2_2(X7,X8),X8)
        | ~ big_f(X7,X8)
        | ~ big_f(X7,esk1_0) )
      & ( ~ big_f(X10,X8)
        | ~ big_f(X10,esk2_2(X7,X8))
        | ~ big_f(X7,X8)
        | ~ big_f(X7,esk1_0) )
      & ( big_f(X7,esk3_1(X7))
        | big_f(X7,esk1_0) )
      & ( big_f(esk4_2(X7,X12),esk3_1(X7))
        | ~ big_f(X12,esk3_1(X7))
        | big_f(X7,esk1_0) )
      & ( big_f(esk4_2(X7,X12),X12)
        | ~ big_f(X12,esk3_1(X7))
        | big_f(X7,esk1_0) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).

fof(c_0_4,plain,
    ! [X14,X16,X17] :
      ( ( ~ big_f(X16,esk5_1(X14))
        | X16 = X14 )
      & ( X17 != X14
        | big_f(X17,esk5_1(X14)) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[pel54_1])])])])]) ).

cnf(c_0_5,negated_conjecture,
    ( ~ big_f(X1,X2)
    | ~ big_f(X1,esk2_2(X3,X2))
    | ~ big_f(X3,X2)
    | ~ big_f(X3,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,negated_conjecture,
    ( big_f(esk4_2(X1,X2),X2)
    | big_f(X1,esk1_0)
    | ~ big_f(X2,esk3_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_7,plain,
    ( X1 = X2
    | ~ big_f(X1,esk5_1(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    ( big_f(esk2_2(X1,X2),X2)
    | ~ big_f(X1,X2)
    | ~ big_f(X1,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_9,negated_conjecture,
    ( big_f(X1,esk1_0)
    | ~ big_f(esk4_2(X1,esk2_2(X2,X3)),X3)
    | ~ big_f(esk2_2(X2,X3),esk3_1(X1))
    | ~ big_f(X2,esk1_0)
    | ~ big_f(X2,X3) ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    ( big_f(esk4_2(X1,X2),esk3_1(X1))
    | big_f(X1,esk1_0)
    | ~ big_f(X2,esk3_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_11,negated_conjecture,
    ( esk2_2(X1,esk5_1(X2)) = X2
    | ~ big_f(X1,esk5_1(X2))
    | ~ big_f(X1,esk1_0) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_12,plain,
    ( big_f(X1,esk5_1(X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_13,negated_conjecture,
    ( big_f(X1,esk1_0)
    | ~ big_f(X2,esk3_1(X1))
    | ~ big_f(X2,esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_8]) ).

cnf(c_0_14,negated_conjecture,
    ( ~ big_f(X1,esk5_1(X2))
    | ~ big_f(X3,esk5_1(X2))
    | ~ big_f(X1,esk1_0)
    | ~ big_f(X3,X2) ),
    inference(spm,[status(thm)],[c_0_5,c_0_11]) ).

cnf(c_0_15,plain,
    big_f(X1,esk5_1(X1)),
    inference(er,[status(thm)],[c_0_12]) ).

cnf(c_0_16,negated_conjecture,
    ( big_f(X1,esk1_0)
    | ~ big_f(esk4_2(X1,X2),esk1_0)
    | ~ big_f(X2,esk3_1(X1)) ),
    inference(spm,[status(thm)],[c_0_13,c_0_10]) ).

cnf(c_0_17,negated_conjecture,
    ( ~ big_f(X1,esk5_1(X2))
    | ~ big_f(X2,esk1_0)
    | ~ big_f(X1,X2) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,negated_conjecture,
    ( big_f(X1,esk1_0)
    | ~ big_f(esk1_0,esk3_1(X1)) ),
    inference(spm,[status(thm)],[c_0_16,c_0_6]) ).

cnf(c_0_19,negated_conjecture,
    ( big_f(X1,esk3_1(X1))
    | big_f(X1,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_20,negated_conjecture,
    ( ~ big_f(X1,esk1_0)
    | ~ big_f(X1,X1) ),
    inference(spm,[status(thm)],[c_0_17,c_0_15]) ).

cnf(c_0_21,negated_conjecture,
    big_f(esk1_0,esk1_0),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_22,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_21])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem    : SYN077+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.08  % Command    : run_E %s %d THM
% 0.08/0.27  % Computer : n032.cluster.edu
% 0.08/0.27  % Model    : x86_64 x86_64
% 0.08/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27  % Memory   : 8042.1875MB
% 0.08/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27  % CPULimit   : 2400
% 0.08/0.27  % WCLimit    : 300
% 0.08/0.27  % DateTime   : Mon Oct  2 18:43:19 EDT 2023
% 0.08/0.27  % CPUTime    : 
% 0.12/0.37  Running first-order model finding
% 0.12/0.37  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.AJ9ZhDD344/E---3.1_13105.p
% 408.18/300.12  # Version: 3.1pre001
% 408.18/300.12  # Preprocessing class: FSSSSMSSSSSNFFN.
% 408.18/300.12  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 408.18/300.12  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 408.18/300.12  # Starting new_bool_3 with 300s (1) cores
% 408.18/300.12  # Starting new_bool_1 with 300s (1) cores
% 408.18/300.12  # Starting sh5l with 300s (1) cores
% 408.18/300.12  # new_bool_3 with pid 13281 completed with status 0
% 408.18/300.12  # Result found by new_bool_3
% 408.18/300.12  # Preprocessing class: FSSSSMSSSSSNFFN.
% 408.18/300.12  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 408.18/300.12  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 408.18/300.12  # Starting new_bool_3 with 300s (1) cores
% 408.18/300.12  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 408.18/300.12  # Search class: FGHSF-FFSF21-SFFFFFNN
% 408.18/300.12  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 408.18/300.12  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 408.18/300.12  # SAT001_MinMin_p005000_rr_RG with pid 13284 completed with status 0
% 408.18/300.12  # Result found by SAT001_MinMin_p005000_rr_RG
% 408.18/300.12  # Preprocessing class: FSSSSMSSSSSNFFN.
% 408.18/300.12  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 408.18/300.12  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 408.18/300.12  # Starting new_bool_3 with 300s (1) cores
% 408.18/300.12  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 408.18/300.12  # Search class: FGHSF-FFSF21-SFFFFFNN
% 408.18/300.12  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 408.18/300.12  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 408.18/300.12  # Preprocessing time       : 0.001 s
% 408.18/300.12  # Presaturation interreduction done
% 408.18/300.12  
% 408.18/300.12  # Proof found!
% 408.18/300.12  # SZS status Theorem
% 408.18/300.12  # SZS output start CNFRefutation
% See solution above
% 408.18/300.12  # Parsed axioms                        : 2
% 408.18/300.12  # Removed by relevancy pruning/SinE    : 0
% 408.18/300.12  # Initial clauses                      : 7
% 408.18/300.12  # Removed in clause preprocessing      : 0
% 408.18/300.12  # Initial clauses in saturation        : 7
% 408.18/300.12  # Processed clauses                    : 44
% 408.18/300.12  # ...of these trivial                  : 0
% 408.18/300.12  # ...subsumed                          : 3
% 408.18/300.12  # ...remaining for further processing  : 41
% 408.18/300.12  # Other redundant clauses eliminated   : 1
% 408.18/300.12  # Clauses deleted for lack of memory   : 0
% 408.18/300.12  # Backward-subsumed                    : 2
% 408.18/300.12  # Backward-rewritten                   : 0
% 408.18/300.12  # Generated clauses                    : 42
% 408.18/300.12  # ...of the previous two non-redundant : 38
% 408.18/300.12  # ...aggressively subsumed             : 0
% 408.18/300.12  # Contextual simplify-reflections      : 1
% 408.18/300.12  # Paramodulations                      : 41
% 408.18/300.12  # Factorizations                       : 0
% 408.18/300.12  # NegExts                              : 0
% 408.18/300.12  # Equation resolutions                 : 1
% 408.18/300.12  # Total rewrite steps                  : 3
% 408.18/300.12  # Propositional unsat checks           : 0
% 408.18/300.12  #    Propositional check models        : 0
% 408.18/300.12  #    Propositional check unsatisfiable : 0
% 408.18/300.12  #    Propositional clauses             : 0
% 408.18/300.12  #    Propositional clauses after purity: 0
% 408.18/300.12  #    Propositional unsat core size     : 0
% 408.18/300.12  #    Propositional preprocessing time  : 0.000
% 408.18/300.12  #    Propositional encoding time       : 0.000
% 408.18/300.12  #    Propositional solver time         : 0.000
% 408.18/300.12  #    Success case prop preproc time    : 0.000
% 408.18/300.12  #    Success case prop encoding time   : 0.000
% 408.18/300.12  #    Success case prop solver time     : 0.000
% 408.18/300.12  # Current number of processed clauses  : 31
% 408.18/300.12  #    Positive orientable unit clauses  : 2
% 408.18/300.12  #    Positive unorientable unit clauses: 0
% 408.18/300.12  #    Negative unit clauses             : 0
% 408.18/300.12  #    Non-unit-clauses                  : 29
% 408.18/300.12  # Current number of unprocessed clauses: 8
% 408.18/300.12  # ...number of literals in the above   : 25
% 408.18/300.12  # Current number of archived formulas  : 0
% 408.18/300.12  # Current number of archived clauses   : 9
% 408.18/300.12  # Clause-clause subsumption calls (NU) : 241
% 408.18/300.12  # Rec. Clause-clause subsumption calls : 121
% 408.18/300.12  # Non-unit clause-clause subsumptions  : 6
% 408.18/300.12  # Unit Clause-clause subsumption calls : 0
% 408.18/300.12  # Rewrite failures with RHS unbound    : 0
% 408.18/300.12  # BW rewrite match attempts            : 2
% 408.18/300.12  # BW rewrite match successes           : 0
% 408.18/300.12  # Condensation attempts                : 0
% 408.18/300.12  # Condensation successes               : 0
% 408.18/300.12  # Termbank termtop insertions          : 1524
% 408.18/300.12  
% 408.18/300.12  # -------------------------------------------------
% 408.18/300.12  # User time                : 0.004 s
% 408.18/300.12  # System time              : 0.000 s
% 408.18/300.12  # Total time               : 0.004 s
% 408.18/300.12  # Maximum resident set size: 1764 pages
% 408.18/300.12  
% 408.18/300.12  # -------------------------------------------------
% 408.18/300.12  # User time                : 0.004 s
% 408.18/300.12  # System time              : 0.002 s
% 408.18/300.12  # Total time               : 0.006 s
% 408.18/300.12  # Maximum resident set size: 1668 pages
% 408.18/300.12  % E---3.1 exiting
%------------------------------------------------------------------------------