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E-SAT---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : GRA004+1 : TPTP v9.3.1. Bugfixed v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:31:51 PM UTC 2026

% Result   : Theorem 0.21s 0.46s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   62 (  14 unt;   0 def)
%            Number of atoms       :  252 (  68 equ)
%            Maximal formula atoms :   19 (   4 avg)
%            Number of connectives :  310 ( 120   ~; 104   |;  62   &)
%                                         (   5 <=>;  17  =>;   1  <=;   1 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-3 aty)
%            Number of variables   :  155 (  18 sgn  95   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(shortest_path_properties_lemma,conjecture,
    ! [X2,X3,X7,X8,X4] :
      ( ( precedes(X7,X8,X4)
        & shortest_path(X2,X3,X4) )
     => ( head_of(X8) != head_of(X7)
        & head_of(X8) != tail_of(X7)
        & ~ ? [X9] :
              ( head_of(X9) = head_of(X8)
              & tail_of(X9) = tail_of(X7) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',shortest_path_properties_lemma) ).

fof(shortest_path_defn,axiom,
    ! [X2,X3,X10] :
      ( shortest_path(X2,X3,X10)
    <=> ( ! [X4] :
            ( path(X2,X3,X4)
           => less_or_equal(length_of(X10),length_of(X4)) )
        & X2 != X3
        & path(X2,X3,X10) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax',shortest_path_defn) ).

fof(precedes_properties,axiom,
    ! [X4,X2,X3] :
      ( path(X2,X3,X4)
     => ! [X7,X8] :
          ( precedes(X7,X8,X4)
         => ( ( sequential(X7,X8)
            <~> ? [X9] :
                  ( precedes(X9,X8,X4)
                  & sequential(X7,X9) ) )
            & on_path(X8,X4)
            & on_path(X7,X4) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax',precedes_properties) ).

fof(shortest_path_properties,axiom,
    ! [X2,X3,X7,X8,X4] :
      ( ( precedes(X7,X8,X4)
        & shortest_path(X2,X3,X4) )
     => ( ~ precedes(X8,X7,X4)
        & ~ ? [X9] :
              ( head_of(X9) = head_of(X8)
              & tail_of(X9) = tail_of(X7) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax',shortest_path_properties) ).

fof(on_path_properties,axiom,
    ! [X2,X3,X4,X1] :
      ( ( on_path(X1,X4)
        & path(X2,X3,X4) )
     => ( in_path(tail_of(X1),X4)
        & in_path(head_of(X1),X4)
        & edge(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax',on_path_properties) ).

fof(sequential_defn,axiom,
    ! [X7,X8] :
      ( sequential(X7,X8)
    <=> ( head_of(X7) = tail_of(X8)
        & X7 != X8
        & edge(X8)
        & edge(X7) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax',sequential_defn) ).

fof(precedes_defn,axiom,
    ! [X4,X2,X3] :
      ( path(X2,X3,X4)
     => ! [X7,X8] :
          ( precedes(X7,X8,X4)
         <= ( ( ? [X9] :
                  ( precedes(X9,X8,X4)
                  & sequential(X7,X9) )
              | sequential(X7,X8) )
            & on_path(X8,X4)
            & on_path(X7,X4) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax',precedes_defn) ).

fof(no_loops,axiom,
    ! [X1] :
      ( edge(X1)
     => head_of(X1) != tail_of(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax',no_loops) ).

fof(c_0_8,negated_conjecture,
    ~ ! [X2,X3,X7,X8,X4] :
        ( ( precedes(X7,X8,X4)
          & shortest_path(X2,X3,X4) )
       => ( head_of(X8) != head_of(X7)
          & head_of(X8) != tail_of(X7)
          & ~ ? [X9] :
                ( head_of(X9) = head_of(X8)
                & tail_of(X9) = tail_of(X7) ) ) ),
    inference(assume_negation,[status(cth)],[shortest_path_properties_lemma]) ).

fof(c_0_9,plain,
    ! [X2,X3,X10] :
      ( shortest_path(X2,X3,X10)
    <=> ( ! [X4] :
            ( path(X2,X3,X4)
           => less_or_equal(length_of(X10),length_of(X4)) )
        & X2 != X3
        & path(X2,X3,X10) ) ),
    inference(fof_simplification,[status(thm)],[shortest_path_defn]) ).

fof(c_0_10,negated_conjecture,
    ~ ! [X2,X3,X7,X8,X4] :
        ( ( precedes(X7,X8,X4)
          & shortest_path(X2,X3,X4) )
       => ( head_of(X8) != head_of(X7)
          & head_of(X8) != tail_of(X7)
          & ~ ? [X9] :
                ( head_of(X9) = head_of(X8)
                & tail_of(X9) = tail_of(X7) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_11,plain,
    ! [X4,X2,X3] :
      ( path(X2,X3,X4)
     => ! [X7,X8] :
          ( precedes(X7,X8,X4)
         => ( ~ ( sequential(X7,X8)
              <=> ? [X9] :
                    ( precedes(X9,X8,X4)
                    & sequential(X7,X9) ) )
            & on_path(X8,X4)
            & on_path(X7,X4) ) ) ),
    inference(fof_simplification,[status(thm)],[precedes_properties]) ).

fof(c_0_12,plain,
    ! [X2,X3,X7,X8,X4] :
      ( ( precedes(X7,X8,X4)
        & shortest_path(X2,X3,X4) )
     => ( ~ precedes(X8,X7,X4)
        & ~ ? [X9] :
              ( head_of(X9) = head_of(X8)
              & tail_of(X9) = tail_of(X7) ) ) ),
    inference(fof_simplification,[status(thm)],[shortest_path_properties]) ).

fof(c_0_13,plain,
    ! [X62,X63,X64,X65,X66,X67,X68] :
      ( ( shortest_path(X66,X67,X68)
        | X66 = X67
        | ~ path(X66,X67,X68)
        | ~ less_or_equal(length_of(X68),length_of(esk11_3(X66,X67,X68))) )
      & ( shortest_path(X66,X67,X68)
        | X66 = X67
        | ~ path(X66,X67,X68)
        | path(X66,X67,esk11_3(X66,X67,X68)) )
      & ( ~ shortest_path(X62,X63,X64)
        | less_or_equal(length_of(X64),length_of(X65))
        | ~ path(X62,X63,X65) )
      & ( ~ shortest_path(X62,X63,X64)
        | X62 != X63 )
      & ( ~ shortest_path(X62,X63,X64)
        | path(X62,X63,X64) ) ),
    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_9])])])])])])]) ).

fof(c_0_14,negated_conjecture,
    ( ( head_of(esk4_0) = head_of(esk3_0)
      | head_of(esk4_0) = tail_of(esk3_0)
      | head_of(esk6_0) = head_of(esk4_0) )
    & ( head_of(esk4_0) = head_of(esk3_0)
      | head_of(esk4_0) = tail_of(esk3_0)
      | tail_of(esk6_0) = tail_of(esk3_0) )
    & precedes(esk3_0,esk4_0,esk5_0)
    & shortest_path(esk1_0,esk2_0,esk5_0) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).

fof(c_0_15,plain,
    ! [X55,X56,X57,X58,X59,X60] :
      ( ( ~ path(X56,X57,X55)
        | ~ precedes(X58,X59,X55)
        | sequential(X58,X59)
        | precedes(esk10_3(X55,X58,X59),X59,X55) )
      & ( ~ path(X56,X57,X55)
        | ~ precedes(X58,X59,X55)
        | sequential(X58,X59)
        | sequential(X58,esk10_3(X55,X58,X59)) )
      & ( ~ path(X56,X57,X55)
        | ~ precedes(X58,X59,X55)
        | ~ precedes(X60,X59,X55)
        | ~ sequential(X58,X60)
        | ~ sequential(X58,X59) )
      & ( ~ path(X56,X57,X55)
        | ~ precedes(X58,X59,X55)
        | on_path(X59,X55) )
      & ( ~ path(X56,X57,X55)
        | ~ precedes(X58,X59,X55)
        | on_path(X58,X55) ) ),
    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])])])])])])]) ).

fof(c_0_16,plain,
    ! [X43,X44,X45,X46,X47,X48] :
      ( ( ~ precedes(X45,X46,X47)
        | ~ shortest_path(X43,X44,X47)
        | ~ precedes(X46,X45,X47) )
      & ( ~ precedes(X45,X46,X47)
        | ~ shortest_path(X43,X44,X47)
        | head_of(X48) != head_of(X46)
        | tail_of(X48) != tail_of(X45) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])]) ).

fof(c_0_17,plain,
    ! [X32,X33,X34,X35] :
      ( ( ~ on_path(X35,X34)
        | ~ path(X32,X33,X34)
        | in_path(tail_of(X35),X34) )
      & ( ~ on_path(X35,X34)
        | ~ path(X32,X33,X34)
        | in_path(head_of(X35),X34) )
      & ( ~ on_path(X35,X34)
        | ~ path(X32,X33,X34)
        | edge(X35) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[on_path_properties])])])]) ).

cnf(c_0_18,plain,
    ( ~ shortest_path(X1,X2,X3)
    | path(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,negated_conjecture,
    shortest_path(esk1_0,esk2_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,plain,
    ( ~ path(X4,X5,X2)
    | ~ precedes(X1,X3,X2)
    | on_path(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_21,negated_conjecture,
    precedes(esk3_0,esk4_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_22,plain,
    ( ~ precedes(X2,X3,X6)
    | ~ shortest_path(X4,X5,X6)
    | head_of(X1) != head_of(X3)
    | tail_of(X1) != tail_of(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_23,plain,
    ! [X7,X8] :
      ( sequential(X7,X8)
    <=> ( head_of(X7) = tail_of(X8)
        & X7 != X8
        & edge(X8)
        & edge(X7) ) ),
    inference(fof_simplification,[status(thm)],[sequential_defn]) ).

cnf(c_0_24,plain,
    ( ~ on_path(X1,X4)
    | ~ path(X2,X3,X4)
    | edge(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_25,negated_conjecture,
    path(esk1_0,esk2_0,esk5_0),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ path(X1,X2,esk5_0)
    | on_path(esk3_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_27,plain,
    ( ~ path(X4,X5,X2)
    | ~ precedes(X3,X1,X2)
    | on_path(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_28,negated_conjecture,
    ( ~ precedes(X3,X2,esk5_0)
    | tail_of(X1) != tail_of(X3)
    | head_of(X1) != head_of(X2) ),
    inference(spm,[status(thm)],[c_0_22,c_0_19]) ).

fof(c_0_29,plain,
    ! [X4,X2,X3] :
      ( path(X2,X3,X4)
     => ! [X7,X8] :
          ( ( ( ? [X9] :
                  ( precedes(X9,X8,X4)
                  & sequential(X7,X9) )
              | sequential(X7,X8) )
            & on_path(X8,X4)
            & on_path(X7,X4) )
         => precedes(X7,X8,X4) ) ),
    inference(fof_simplification,[status(thm)],[precedes_defn]) ).

fof(c_0_30,plain,
    ! [X41,X42] :
      ( ( sequential(X41,X42)
        | head_of(X41) != tail_of(X42)
        | X41 = X42
        | ~ edge(X42)
        | ~ edge(X41) )
      & ( ~ sequential(X41,X42)
        | head_of(X41) = tail_of(X42) )
      & ( ~ sequential(X41,X42)
        | X41 != X42 )
      & ( ~ sequential(X41,X42)
        | edge(X42) )
      & ( ~ sequential(X41,X42)
        | edge(X41) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).

cnf(c_0_31,negated_conjecture,
    ( ~ on_path(X1,esk5_0)
    | edge(X1) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_32,negated_conjecture,
    on_path(esk3_0,esk5_0),
    inference(spm,[status(thm)],[c_0_26,c_0_25]) ).

cnf(c_0_33,negated_conjecture,
    ( ~ path(X1,X2,esk5_0)
    | on_path(esk4_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_27,c_0_21]) ).

cnf(c_0_34,negated_conjecture,
    ( tail_of(X1) != tail_of(esk3_0)
    | head_of(X1) != head_of(esk4_0) ),
    inference(spm,[status(thm)],[c_0_28,c_0_21]) ).

fof(c_0_35,plain,
    ! [X49,X50,X51,X52,X53,X54] :
      ( ( ~ path(X50,X51,X49)
        | precedes(X52,X53,X49)
        | ~ on_path(X53,X49)
        | ~ on_path(X52,X49)
        | ~ precedes(X54,X53,X49)
        | ~ sequential(X52,X54) )
      & ( ~ path(X50,X51,X49)
        | precedes(X52,X53,X49)
        | ~ on_path(X53,X49)
        | ~ on_path(X52,X49)
        | ~ sequential(X52,X53) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])])]) ).

cnf(c_0_36,plain,
    ( head_of(X1) != tail_of(X2)
    | ~ edge(X2)
    | ~ edge(X1)
    | sequential(X1,X2)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_37,negated_conjecture,
    edge(esk3_0),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_38,negated_conjecture,
    on_path(esk4_0,esk5_0),
    inference(spm,[status(thm)],[c_0_33,c_0_25]) ).

cnf(c_0_39,negated_conjecture,
    ( head_of(esk4_0) = head_of(esk3_0)
    | head_of(esk4_0) = tail_of(esk3_0)
    | tail_of(esk6_0) = tail_of(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_40,negated_conjecture,
    head_of(esk3_0) != head_of(esk4_0),
    inference(er,[status(thm)],[c_0_34]) ).

cnf(c_0_41,negated_conjecture,
    ( head_of(esk4_0) = head_of(esk3_0)
    | head_of(esk4_0) = tail_of(esk3_0)
    | head_of(esk6_0) = head_of(esk4_0) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_42,plain,
    ( ~ path(X4,X5,X3)
    | ~ on_path(X2,X3)
    | ~ on_path(X1,X3)
    | ~ sequential(X1,X2)
    | precedes(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_43,plain,
    ( ~ precedes(X2,X1,X3)
    | ~ shortest_path(X4,X5,X3)
    | ~ precedes(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_44,negated_conjecture,
    ( ~ edge(X1)
    | tail_of(esk3_0) != head_of(X1)
    | sequential(X1,esk3_0)
    | X1 = esk3_0 ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_45,negated_conjecture,
    edge(esk4_0),
    inference(spm,[status(thm)],[c_0_31,c_0_38]) ).

cnf(c_0_46,negated_conjecture,
    ( tail_of(esk6_0) = tail_of(esk3_0)
    | tail_of(esk3_0) = head_of(esk4_0) ),
    inference(sr,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_47,negated_conjecture,
    ( tail_of(esk3_0) = head_of(esk4_0)
    | head_of(esk6_0) = head_of(esk4_0) ),
    inference(sr,[status(thm)],[c_0_41,c_0_40]) ).

cnf(c_0_48,negated_conjecture,
    ( ~ on_path(X1,esk5_0)
    | ~ on_path(X2,esk5_0)
    | ~ sequential(X1,X2)
    | precedes(X1,X2,esk5_0) ),
    inference(spm,[status(thm)],[c_0_42,c_0_25]) ).

cnf(c_0_49,negated_conjecture,
    ( ~ precedes(X2,X1,esk5_0)
    | ~ precedes(X1,X2,esk5_0) ),
    inference(spm,[status(thm)],[c_0_43,c_0_19]) ).

fof(c_0_50,plain,
    ! [X1] :
      ( edge(X1)
     => head_of(X1) != tail_of(X1) ),
    inference(fof_simplification,[status(thm)],[no_loops]) ).

cnf(c_0_51,negated_conjecture,
    ( tail_of(esk3_0) != head_of(esk4_0)
    | sequential(esk4_0,esk3_0)
    | esk3_0 = esk4_0 ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_52,negated_conjecture,
    tail_of(esk3_0) = head_of(esk4_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_46]),c_0_47]) ).

cnf(c_0_53,negated_conjecture,
    ( ~ on_path(X1,esk5_0)
    | ~ sequential(X1,esk3_0)
    | precedes(X1,esk3_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_48,c_0_32]) ).

cnf(c_0_54,negated_conjecture,
    ~ precedes(esk4_0,esk3_0,esk5_0),
    inference(spm,[status(thm)],[c_0_49,c_0_21]) ).

fof(c_0_55,plain,
    ! [X19] :
      ( head_of(X19) != tail_of(X19)
      | ~ edge(X19) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])]) ).

cnf(c_0_56,negated_conjecture,
    ( sequential(esk4_0,esk3_0)
    | esk3_0 = esk4_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52])]) ).

cnf(c_0_57,negated_conjecture,
    ~ sequential(esk4_0,esk3_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_38]),c_0_54]) ).

cnf(c_0_58,plain,
    ( head_of(X1) != tail_of(X1)
    | ~ edge(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_59,negated_conjecture,
    esk3_0 = esk4_0,
    inference(sr,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_60,negated_conjecture,
    tail_of(esk4_0) != head_of(esk4_0),
    inference(spm,[status(thm)],[c_0_58,c_0_45]) ).

cnf(c_0_61,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_59]),c_0_60]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRA004+1 : TPTP v9.3.1. Bugfixed v3.2.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n026.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sun Sep 20 18:20:37 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.21/0.46  % Version: 3.5.1
% 0.21/0.46  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.46  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.46  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.46  % Starting new_bool_3 with 300s (1) cores
% 0.21/0.46  % Starting new_bool_1 with 300s (1) cores
% 0.21/0.46  % Starting sh5l with 300s (1) cores
% 0.21/0.46  % sh5l with pid 325044 completed with status 0
% 0.21/0.46  % Result found by sh5l
% 0.21/0.46  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.46  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.46  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.46  % Starting new_bool_3 with 300s (1) cores
% 0.21/0.46  % Starting new_bool_1 with 300s (1) cores
% 0.21/0.46  % Starting sh5l with 300s (1) cores
% 0.21/0.46  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.21/0.46  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.21/0.46  % Search class: FGHSF-FFMS32-SFFFFFNN
% 0.21/0.46  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.46  % Starting SubtermCWHack with 31s (1) cores
% 0.21/0.46  % SubtermCWHack with pid 325051 completed with status 0
% 0.21/0.46  % Result found by SubtermCWHack
% 0.21/0.46  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.46  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.46  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.46  % Starting new_bool_3 with 300s (1) cores
% 0.21/0.46  % Starting new_bool_1 with 300s (1) cores
% 0.21/0.46  % Starting sh5l with 300s (1) cores
% 0.21/0.46  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.21/0.46  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.21/0.46  % Search class: FGHSF-FFMS32-SFFFFFNN
% 0.21/0.46  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.46  % Starting SubtermCWHack with 31s (1) cores
% 0.21/0.46  % Preprocessing time       : 0.002 s
% 0.21/0.46  
% 0.21/0.46  % Proof found!
% 0.21/0.46  % SZS status Theorem
% 0.21/0.46  % SZS output start CNFRefutation
% See solution above
% 0.21/0.46  % Parsed axioms                        : 18
% 0.21/0.46  % Removed by relevancy pruning/SinE    : 0
% 0.21/0.46  % Initial clauses                      : 63
% 0.21/0.46  % Removed in clause preprocessing      : 1
% 0.21/0.46  % Initial clauses in saturation        : 62
% 0.21/0.46  % Processed clauses                    : 161
% 0.21/0.46  % ...of these trivial                  : 3
% 0.21/0.46  % ...subsumed                          : 19
% 0.21/0.46  % ...remaining for further processing  : 139
% 0.21/0.46  % Other redundant clauses eliminated   : 13
% 0.21/0.46  % Clauses deleted for lack of memory   : 0
% 0.21/0.46  % Backward-subsumed                    : 2
% 0.21/0.46  % Backward-rewritten                   : 20
% 0.21/0.46  % Generated clauses                    : 242
% 0.21/0.46  % ...of the previous two non-redundant : 203
% 0.21/0.46  % ...aggressively subsumed             : 0
% 0.21/0.46  % Contextual simplify-reflections      : 7
% 0.21/0.46  % Paramodulations                      : 228
% 0.21/0.46  % Factorizations                       : 0
% 0.21/0.46  % NegExts                              : 0
% 0.21/0.46  % Equation resolutions                 : 14
% 0.21/0.46  % Disequality decompositions           : 0
% 0.21/0.46  % Total rewrite steps                  : 67
% 0.21/0.46  % ...of those cached                   : 52
% 0.21/0.46  % Propositional unsat checks           : 0
% 0.21/0.46  %    Propositional check models        : 0
% 0.21/0.46  %    Propositional check unsatisfiable : 0
% 0.21/0.46  %    Propositional clauses             : 0
% 0.21/0.46  %    Propositional clauses after purity: 0
% 0.21/0.46  %    Propositional unsat core size     : 0
% 0.21/0.46  %    Propositional preprocessing time  : 0.000
% 0.21/0.46  %    Propositional encoding time       : 0.000
% 0.21/0.46  %    Propositional solver time         : 0.000
% 0.21/0.46  %    Success case prop preproc time    : 0.000
% 0.21/0.46  %    Success case prop encoding time   : 0.000
% 0.21/0.46  %    Success case prop solver time     : 0.000
% 0.21/0.46  % Current number of processed clauses  : 110
% 0.21/0.46  %    Positive orientable unit clauses  : 18
% 0.21/0.46  %    Positive unorientable unit clauses: 0
% 0.21/0.46  %    Negative unit clauses             : 3
% 0.21/0.46  %    Non-unit-clauses                  : 89
% 0.21/0.46  % Current number of unprocessed clauses: 97
% 0.21/0.46  % ...number of literals in the above   : 407
% 0.21/0.46  % Current number of archived formulas  : 0
% 0.21/0.46  % Current number of archived clauses   : 25
% 0.21/0.46  % Clause-clause subsumption calls (NU) : 922
% 0.21/0.46  % Rec. Clause-clause subsumption calls : 570
% 0.21/0.46  % Non-unit clause-clause subsumptions  : 22
% 0.21/0.46  % Unit Clause-clause subsumption calls : 72
% 0.21/0.46  % Rewrite failures with RHS unbound    : 0
% 0.21/0.46  % BW rewrite match attempts            : 6
% 0.21/0.46  % BW rewrite match successes           : 5
% 0.21/0.46  % Condensation attempts                : 0
% 0.21/0.46  % Condensation successes               : 0
% 0.21/0.46  % Termbank termtop insertions          : 7906
% 0.21/0.46  % Search garbage collected termcells   : 1249
% 0.21/0.46  
% 0.21/0.46  % -------------------------------------------------
% 0.21/0.46  % User time                : 0.020 s
% 0.21/0.46  % System time              : 0.002 s
% 0.21/0.46  % Total time               : 0.022 s
% 0.21/0.46  % Maximum resident set size: 3924 pages
% 0.21/0.46  
% 0.21/0.46  % -------------------------------------------------
% 0.21/0.46  % User time                : 0.022 s
% 0.21/0.46  % System time              : 0.006 s
% 0.21/0.46  % Total time               : 0.029 s
% 0.21/0.46  % Maximum resident set size: 4608 pages
% 0.21/0.46  % E exiting
%------------------------------------------------------------------------------