TSTP Solution File: SYN386+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SYN386+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n011.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 20:14:41 EDT 2023

% Result   : Theorem 0.20s 0.48s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   14 (   7 unt;   0 def)
%            Number of atoms       :   48 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :   49 (  15   ~;  11   |;  11   &)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   1 con; 0-2 aty)
%            Number of variables   :   68 (   6 sgn;  32   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(x2138,conjecture,
    ( ( ! [X1] :
        ? [X2] : big_f(X1,X2)
      & ? [X1] :
        ! [X3] :
        ? [X4] :
        ! [X5] :
          ( big_s(X4,X5)
         => big_d(X5,X1,X3) )
      & ! [X3] :
        ? [X6] :
        ! [X7,X8] :
          ( big_d(X7,X8,X6)
         => ! [X2,X9] :
              ( ( big_f(X7,X2)
                & big_f(X8,X9) )
             => big_d(X2,X9,X3) ) ) )
   => ? [X2] :
      ! [X3] :
      ? [X10] :
      ! [X5] :
        ( big_s(X10,X5)
       => ! [X9] :
            ( big_f(X5,X9)
           => big_d(X9,X2,X3) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.yGLTAIi6cI/E---3.1_23254.p',x2138) ).

fof(c_0_1,negated_conjecture,
    ~ ( ( ! [X1] :
          ? [X2] : big_f(X1,X2)
        & ? [X1] :
          ! [X3] :
          ? [X4] :
          ! [X5] :
            ( big_s(X4,X5)
           => big_d(X5,X1,X3) )
        & ! [X3] :
          ? [X6] :
          ! [X7,X8] :
            ( big_d(X7,X8,X6)
           => ! [X2,X9] :
                ( ( big_f(X7,X2)
                  & big_f(X8,X9) )
               => big_d(X2,X9,X3) ) ) )
     => ? [X2] :
        ! [X3] :
        ? [X10] :
        ! [X5] :
          ( big_s(X10,X5)
         => ! [X9] :
              ( big_f(X5,X9)
             => big_d(X9,X2,X3) ) ) ),
    inference(assume_negation,[status(cth)],[x2138]) ).

fof(c_0_2,negated_conjecture,
    ! [X11,X14,X16,X17,X19,X20,X21,X22,X23,X25] :
      ( big_f(X11,esk1_1(X11))
      & ( ~ big_s(esk3_1(X14),X16)
        | big_d(X16,esk2_0,X14) )
      & ( ~ big_d(X19,X20,esk4_1(X17))
        | ~ big_f(X19,X21)
        | ~ big_f(X20,X22)
        | big_d(X21,X22,X17) )
      & big_s(X25,esk6_2(X23,X25))
      & big_f(esk6_2(X23,X25),esk7_2(X23,X25))
      & ~ big_d(esk7_2(X23,X25),X23,esk5_1(X23)) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).

cnf(c_0_3,negated_conjecture,
    ( big_d(X2,esk2_0,X1)
    | ~ big_s(esk3_1(X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    big_s(X1,esk6_2(X2,X1)),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    ( big_d(X4,X5,X3)
    | ~ big_d(X1,X2,esk4_1(X3))
    | ~ big_f(X1,X4)
    | ~ big_f(X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,negated_conjecture,
    big_d(esk6_2(X1,esk3_1(X2)),esk2_0,X2),
    inference(spm,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    ( big_d(X1,X2,X3)
    | ~ big_f(esk6_2(X4,esk3_1(esk4_1(X3))),X1)
    | ~ big_f(esk2_0,X2) ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_8,negated_conjecture,
    big_f(esk6_2(X1,X2),esk7_2(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_9,negated_conjecture,
    ~ big_d(esk7_2(X1,X2),X1,esk5_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_10,negated_conjecture,
    ( big_d(esk7_2(X1,esk3_1(esk4_1(X2))),X3,X2)
    | ~ big_f(esk2_0,X3) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    ~ big_f(esk2_0,X1),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_12,negated_conjecture,
    big_f(X1,esk1_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_13,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_11,c_0_12]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SYN386+1 : TPTP v8.1.2. Released v2.0.0.
% 0.10/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n011.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   : 2400
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Oct  2 18:06:53 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.yGLTAIi6cI/E---3.1_23254.p
% 0.20/0.48  # Version: 3.1pre001
% 0.20/0.48  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.48  # Starting sh5l with 300s (1) cores
% 0.20/0.48  # new_bool_1 with pid 23334 completed with status 0
% 0.20/0.48  # Result found by new_bool_1
% 0.20/0.48  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.48  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.48  # Search class: FHUNS-FFSF21-SFFFFFNN
% 0.20/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.48  # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.20/0.48  # G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with pid 23339 completed with status 0
% 0.20/0.48  # Result found by G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN
% 0.20/0.48  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.48  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.48  # Search class: FHUNS-FFSF21-SFFFFFNN
% 0.20/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.48  # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.20/0.48  # Preprocessing time       : 0.001 s
% 0.20/0.48  # Presaturation interreduction done
% 0.20/0.48  
% 0.20/0.48  # Proof found!
% 0.20/0.48  # SZS status Theorem
% 0.20/0.48  # SZS output start CNFRefutation
% See solution above
% 0.20/0.49  # Parsed axioms                        : 1
% 0.20/0.49  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.49  # Initial clauses                      : 6
% 0.20/0.49  # Removed in clause preprocessing      : 0
% 0.20/0.49  # Initial clauses in saturation        : 6
% 0.20/0.49  # Processed clauses                    : 16
% 0.20/0.49  # ...of these trivial                  : 0
% 0.20/0.49  # ...subsumed                          : 0
% 0.20/0.49  # ...remaining for further processing  : 16
% 0.20/0.49  # Other redundant clauses eliminated   : 0
% 0.20/0.49  # Clauses deleted for lack of memory   : 0
% 0.20/0.49  # Backward-subsumed                    : 2
% 0.20/0.49  # Backward-rewritten                   : 0
% 0.20/0.49  # Generated clauses                    : 7
% 0.20/0.49  # ...of the previous two non-redundant : 6
% 0.20/0.49  # ...aggressively subsumed             : 0
% 0.20/0.49  # Contextual simplify-reflections      : 0
% 0.20/0.49  # Paramodulations                      : 7
% 0.20/0.49  # Factorizations                       : 0
% 0.20/0.49  # NegExts                              : 0
% 0.20/0.49  # Equation resolutions                 : 0
% 0.20/0.49  # Total rewrite steps                  : 0
% 0.20/0.49  # Propositional unsat checks           : 0
% 0.20/0.49  #    Propositional check models        : 0
% 0.20/0.49  #    Propositional check unsatisfiable : 0
% 0.20/0.49  #    Propositional clauses             : 0
% 0.20/0.49  #    Propositional clauses after purity: 0
% 0.20/0.49  #    Propositional unsat core size     : 0
% 0.20/0.49  #    Propositional preprocessing time  : 0.000
% 0.20/0.49  #    Propositional encoding time       : 0.000
% 0.20/0.49  #    Propositional solver time         : 0.000
% 0.20/0.49  #    Success case prop preproc time    : 0.000
% 0.20/0.49  #    Success case prop encoding time   : 0.000
% 0.20/0.49  #    Success case prop solver time     : 0.000
% 0.20/0.49  # Current number of processed clauses  : 8
% 0.20/0.49  #    Positive orientable unit clauses  : 4
% 0.20/0.49  #    Positive unorientable unit clauses: 0
% 0.20/0.49  #    Negative unit clauses             : 2
% 0.20/0.49  #    Non-unit-clauses                  : 2
% 0.20/0.49  # Current number of unprocessed clauses: 2
% 0.20/0.49  # ...number of literals in the above   : 6
% 0.20/0.49  # Current number of archived formulas  : 0
% 0.20/0.49  # Current number of archived clauses   : 8
% 0.20/0.49  # Clause-clause subsumption calls (NU) : 0
% 0.20/0.49  # Rec. Clause-clause subsumption calls : 0
% 0.20/0.49  # Non-unit clause-clause subsumptions  : 0
% 0.20/0.49  # Unit Clause-clause subsumption calls : 3
% 0.20/0.49  # Rewrite failures with RHS unbound    : 0
% 0.20/0.49  # BW rewrite match attempts            : 0
% 0.20/0.49  # BW rewrite match successes           : 0
% 0.20/0.49  # Condensation attempts                : 0
% 0.20/0.49  # Condensation successes               : 0
% 0.20/0.49  # Termbank termtop insertions          : 662
% 0.20/0.49  
% 0.20/0.49  # -------------------------------------------------
% 0.20/0.49  # User time                : 0.002 s
% 0.20/0.49  # System time              : 0.003 s
% 0.20/0.49  # Total time               : 0.005 s
% 0.20/0.49  # Maximum resident set size: 1756 pages
% 0.20/0.49  
% 0.20/0.49  # -------------------------------------------------
% 0.20/0.49  # User time                : 0.004 s
% 0.20/0.49  # System time              : 0.004 s
% 0.20/0.49  # Total time               : 0.008 s
% 0.20/0.49  # Maximum resident set size: 1676 pages
% 0.20/0.49  % E---3.1 exiting
% 0.20/0.49  % E---3.1 exiting
%------------------------------------------------------------------------------