TSTP Solution File: KRS180+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : KRS180+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n015.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 : Mon May 20 23:17:50 EDT 2024

% Result   : Theorem 0.16s 0.46s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   29 (   6 unt;   0 def)
%            Number of atoms       :   97 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  108 (  40   ~;  39   |;  15   &)
%                                         (   8 <=>;   5  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   2 con; 0-2 aty)
%            Number of variables   :   92 (  11 sgn  56   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(isa_exclusive,conjecture,
    ! [X1,X2] :
    ? [X3,X4] :
      ( status(X3,X4,X1)
     => ~ ( isa(X1,X2)
          & ( nota(X1,X2)
            | nevera(X1,X2)
            | xora(X1,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa_exclusive) ).

fof(isa,axiom,
    ! [X1,X2] :
      ( ! [X3,X4] :
          ( status(X3,X4,X1)
         => status(X3,X4,X2) )
    <=> isa(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',isa) ).

fof(nota,axiom,
    ! [X1,X2] :
      ( ? [X3,X4] :
          ( status(X3,X4,X1)
          & ~ status(X3,X4,X2) )
    <=> nota(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',nota) ).

fof(nevera,axiom,
    ! [X1,X2] :
      ( ! [X3,X4] :
          ( status(X3,X4,X1)
         => ~ status(X3,X4,X2) )
    <=> nevera(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',nevera) ).

fof(xora,axiom,
    ! [X1,X2] :
      ( ! [X3,X4] :
          ( status(X3,X4,X1)
        <~> status(X3,X4,X2) )
    <=> xora(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',xora) ).

fof(c_0_5,negated_conjecture,
    ~ ! [X1,X2] :
      ? [X3,X4] :
        ( status(X3,X4,X1)
       => ~ ( isa(X1,X2)
            & ( nota(X1,X2)
              | nevera(X1,X2)
              | xora(X1,X2) ) ) ),
    inference(assume_negation,[status(cth)],[isa_exclusive]) ).

fof(c_0_6,plain,
    ! [X41,X42,X45,X46,X47,X48] :
      ( ( status(esk9_2(X41,X42),esk10_2(X41,X42),X41)
        | isa(X41,X42) )
      & ( ~ status(esk9_2(X41,X42),esk10_2(X41,X42),X42)
        | isa(X41,X42) )
      & ( ~ isa(X45,X46)
        | ~ status(X47,X48,X45)
        | status(X47,X48,X46) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[isa])])])])])])]) ).

fof(c_0_7,negated_conjecture,
    ! [X13,X14] :
      ( status(X13,X14,esk1_0)
      & isa(esk1_0,esk2_0)
      & ( nota(esk1_0,esk2_0)
        | nevera(esk1_0,esk2_0)
        | xora(esk1_0,esk2_0) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).

fof(c_0_8,plain,
    ! [X1,X2] :
      ( ? [X3,X4] :
          ( status(X3,X4,X1)
          & ~ status(X3,X4,X2) )
    <=> nota(X1,X2) ),
    inference(fof_simplification,[status(thm)],[nota]) ).

cnf(c_0_9,plain,
    ( status(X3,X4,X2)
    | ~ isa(X1,X2)
    | ~ status(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    status(X1,X2,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_11,plain,
    ! [X1,X2] :
      ( ! [X3,X4] :
          ( status(X3,X4,X1)
         => ~ status(X3,X4,X2) )
    <=> nevera(X1,X2) ),
    inference(fof_simplification,[status(thm)],[nevera]) ).

fof(c_0_12,plain,
    ! [X33,X34,X35,X36,X37,X38] :
      ( ( ~ status(X35,X36,X33)
        | status(X35,X36,X34)
        | nota(X33,X34) )
      & ( status(esk7_2(X37,X38),esk8_2(X37,X38),X37)
        | ~ nota(X37,X38) )
      & ( ~ status(esk7_2(X37,X38),esk8_2(X37,X38),X38)
        | ~ nota(X37,X38) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])])])]) ).

cnf(c_0_13,negated_conjecture,
    ( status(X1,X2,X3)
    | ~ isa(esk1_0,X3) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,negated_conjecture,
    isa(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_15,plain,
    ! [X1,X2] :
      ( ! [X3,X4] :
          ~ ( status(X3,X4,X1)
          <=> status(X3,X4,X2) )
    <=> xora(X1,X2) ),
    inference(fof_simplification,[status(thm)],[xora]) ).

fof(c_0_16,plain,
    ! [X25,X26,X29,X30,X31,X32] :
      ( ( status(esk5_2(X25,X26),esk6_2(X25,X26),X25)
        | nevera(X25,X26) )
      & ( status(esk5_2(X25,X26),esk6_2(X25,X26),X26)
        | nevera(X25,X26) )
      & ( ~ nevera(X29,X30)
        | ~ status(X31,X32,X29)
        | ~ status(X31,X32,X30) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])])])]) ).

cnf(c_0_17,plain,
    ( ~ status(esk7_2(X1,X2),esk8_2(X1,X2),X2)
    | ~ nota(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18,negated_conjecture,
    status(X1,X2,esk2_0),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

fof(c_0_19,plain,
    ! [X15,X16,X19,X20,X21,X22,X23,X24] :
      ( ( ~ status(esk3_2(X15,X16),esk4_2(X15,X16),X15)
        | status(esk3_2(X15,X16),esk4_2(X15,X16),X16)
        | xora(X15,X16) )
      & ( ~ status(esk3_2(X15,X16),esk4_2(X15,X16),X16)
        | status(esk3_2(X15,X16),esk4_2(X15,X16),X15)
        | xora(X15,X16) )
      & ( ~ status(X21,X22,X19)
        | ~ status(X21,X22,X20)
        | ~ xora(X19,X20) )
      & ( status(X23,X24,X19)
        | status(X23,X24,X20)
        | ~ xora(X19,X20) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])])])]) ).

cnf(c_0_20,plain,
    ( ~ nevera(X1,X2)
    | ~ status(X3,X4,X1)
    | ~ status(X3,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_21,negated_conjecture,
    ( nota(esk1_0,esk2_0)
    | nevera(esk1_0,esk2_0)
    | xora(esk1_0,esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_22,negated_conjecture,
    ~ nota(X1,esk2_0),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_23,plain,
    ( ~ status(X1,X2,X3)
    | ~ status(X1,X2,X4)
    | ~ xora(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_24,negated_conjecture,
    ( ~ nevera(X1,esk2_0)
    | ~ status(X2,X3,X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_18]) ).

cnf(c_0_25,negated_conjecture,
    ( xora(esk1_0,esk2_0)
    | nevera(esk1_0,esk2_0) ),
    inference(sr,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ xora(X1,esk2_0)
    | ~ status(X2,X3,X1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_18]) ).

cnf(c_0_27,negated_conjecture,
    xora(esk1_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_10])]) ).

cnf(c_0_28,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_10])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : KRS180+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.10/0.12  % Command    : run_E %s %d THM
% 0.12/0.31  % Computer : n015.cluster.edu
% 0.12/0.31  % Model    : x86_64 x86_64
% 0.12/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31  % Memory   : 8042.1875MB
% 0.12/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31  % CPULimit   : 300
% 0.12/0.31  % WCLimit    : 300
% 0.12/0.31  % DateTime   : Sat May 18 22:17:23 EDT 2024
% 0.12/0.31  % CPUTime    : 
% 0.16/0.44  Running first-order model finding
% 0.16/0.44  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.16/0.46  # Version: 3.1.0
% 0.16/0.46  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.46  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.46  # Starting sh5l with 300s (1) cores
% 0.16/0.46  # new_bool_3 with pid 3900 completed with status 0
% 0.16/0.46  # Result found by new_bool_3
% 0.16/0.46  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.46  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.46  # Search class: FGHNF-FFSF22-SFFFFFNN
% 0.16/0.46  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.46  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.46  # SAT001_MinMin_p005000_rr_RG with pid 3903 completed with status 0
% 0.16/0.46  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/0.46  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.46  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.46  # Search class: FGHNF-FFSF22-SFFFFFNN
% 0.16/0.46  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.46  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.46  # Preprocessing time       : 0.001 s
% 0.16/0.46  # Presaturation interreduction done
% 0.16/0.46  
% 0.16/0.46  # Proof found!
% 0.16/0.46  # SZS status Theorem
% 0.16/0.46  # SZS output start CNFRefutation
% See solution above
% 0.16/0.46  # Parsed axioms                        : 14
% 0.16/0.46  # Removed by relevancy pruning/SinE    : 9
% 0.16/0.46  # Initial clauses                      : 16
% 0.16/0.46  # Removed in clause preprocessing      : 0
% 0.16/0.46  # Initial clauses in saturation        : 16
% 0.16/0.46  # Processed clauses                    : 46
% 0.16/0.46  # ...of these trivial                  : 0
% 0.16/0.46  # ...subsumed                          : 0
% 0.16/0.46  # ...remaining for further processing  : 46
% 0.16/0.46  # Other redundant clauses eliminated   : 0
% 0.16/0.46  # Clauses deleted for lack of memory   : 0
% 0.16/0.46  # Backward-subsumed                    : 0
% 0.16/0.46  # Backward-rewritten                   : 2
% 0.16/0.46  # Generated clauses                    : 32
% 0.16/0.46  # ...of the previous two non-redundant : 28
% 0.16/0.46  # ...aggressively subsumed             : 0
% 0.16/0.46  # Contextual simplify-reflections      : 0
% 0.16/0.46  # Paramodulations                      : 31
% 0.16/0.46  # Factorizations                       : 0
% 0.16/0.46  # NegExts                              : 0
% 0.16/0.46  # Equation resolutions                 : 0
% 0.16/0.46  # Disequality decompositions           : 0
% 0.16/0.46  # Total rewrite steps                  : 7
% 0.16/0.46  # ...of those cached                   : 3
% 0.16/0.46  # Propositional unsat checks           : 0
% 0.16/0.46  #    Propositional check models        : 0
% 0.16/0.46  #    Propositional check unsatisfiable : 0
% 0.16/0.46  #    Propositional clauses             : 0
% 0.16/0.46  #    Propositional clauses after purity: 0
% 0.16/0.46  #    Propositional unsat core size     : 0
% 0.16/0.46  #    Propositional preprocessing time  : 0.000
% 0.16/0.46  #    Propositional encoding time       : 0.000
% 0.16/0.46  #    Propositional solver time         : 0.000
% 0.16/0.46  #    Success case prop preproc time    : 0.000
% 0.16/0.46  #    Success case prop encoding time   : 0.000
% 0.16/0.46  #    Success case prop solver time     : 0.000
% 0.16/0.46  # Current number of processed clauses  : 27
% 0.16/0.46  #    Positive orientable unit clauses  : 6
% 0.16/0.46  #    Positive unorientable unit clauses: 0
% 0.16/0.46  #    Negative unit clauses             : 2
% 0.16/0.46  #    Non-unit-clauses                  : 19
% 0.16/0.46  # Current number of unprocessed clauses: 14
% 0.16/0.46  # ...number of literals in the above   : 36
% 0.16/0.46  # Current number of archived formulas  : 0
% 0.16/0.46  # Current number of archived clauses   : 19
% 0.16/0.46  # Clause-clause subsumption calls (NU) : 95
% 0.16/0.46  # Rec. Clause-clause subsumption calls : 75
% 0.16/0.46  # Non-unit clause-clause subsumptions  : 0
% 0.16/0.46  # Unit Clause-clause subsumption calls : 5
% 0.16/0.46  # Rewrite failures with RHS unbound    : 0
% 0.16/0.46  # BW rewrite match attempts            : 15
% 0.16/0.46  # BW rewrite match successes           : 2
% 0.16/0.46  # Condensation attempts                : 0
% 0.16/0.46  # Condensation successes               : 0
% 0.16/0.46  # Termbank termtop insertions          : 1789
% 0.16/0.46  # Search garbage collected termcells   : 496
% 0.16/0.46  
% 0.16/0.46  # -------------------------------------------------
% 0.16/0.46  # User time                : 0.006 s
% 0.16/0.46  # System time              : 0.003 s
% 0.16/0.46  # Total time               : 0.009 s
% 0.16/0.46  # Maximum resident set size: 1724 pages
% 0.16/0.46  
% 0.16/0.46  # -------------------------------------------------
% 0.16/0.46  # User time                : 0.007 s
% 0.16/0.46  # System time              : 0.006 s
% 0.16/0.46  # Total time               : 0.013 s
% 0.16/0.46  # Maximum resident set size: 1712 pages
% 0.16/0.46  % E---3.1 exiting
%------------------------------------------------------------------------------