↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : RNG061+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n017.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 02:06:13 PM UTC 2026

% Result   : Theorem 0.15s 0.48s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   68 (  29 unt;   0 def)
%            Number of atoms       :  188 (  81 equ)
%            Maximal formula atoms :   25 (   2 avg)
%            Number of connectives :  200 (  80   ~;  79   |;  26   &)
%                                         (   2 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  10 con; 0-2 aty)
%            Number of variables   :   59 (   2 sgn  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(mDefInit,axiom,
    ! [X1] :
      ( aVector0(X1)
     => ( aDimensionOf0(X1) != sz00
       => ! [X2] :
            ( X2 = sziznziztdt0(X1)
          <=> ( ! [X3] :
                  ( aNaturalNumber0(X3)
                 => sdtlbdtrb0(X2,X3) = sdtlbdtrb0(X1,X3) )
              & szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(X1)
              & aVector0(X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefInit) ).

fof(m__1692,hypothesis,
    aDimensionOf0(xs) != sz00,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1692) ).

fof(mSuccEqu,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1) )
     => ( szszuzczcdt0(X1) = szszuzczcdt0(X2)
       => X1 = X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccEqu) ).

fof(m__1726,hypothesis,
    ( xq = sziznziztdt0(xt)
    & aVector0(xq) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1726) ).

fof(m__1678_01,hypothesis,
    aDimensionOf0(xs) = aDimensionOf0(xt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1678_01) ).

fof(m__1678,hypothesis,
    ( aVector0(xt)
    & aVector0(xs) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1678) ).

fof(m__1709,hypothesis,
    ( xp = sziznziztdt0(xs)
    & aVector0(xp) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1709) ).

fof(mDimNat,axiom,
    ! [X1] :
      ( aVector0(X1)
     => aNaturalNumber0(aDimensionOf0(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDimNat) ).

fof(mElmSc,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aVector0(X1) )
     => aScalar0(sdtlbdtrb0(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mElmSc) ).

fof(mArith,axiom,
    ! [X1,X2,X3] :
      ( ( aScalar0(X3)
        & aScalar0(X2)
        & aScalar0(X1) )
     => ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
        & sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
        & sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
        & sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).

fof(mMulSc,axiom,
    ! [X1,X2] :
      ( ( aScalar0(X2)
        & aScalar0(X1) )
     => aScalar0(sdtasdt0(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).

fof(m__,conjecture,
    sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(m__2144,hypothesis,
    ( sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS)
    & sdtasdt0(smndt0(xS),xR) = smndt0(xN)
    & sdtasdt0(xR,smndt0(xS)) = smndt0(xN) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2144) ).

fof(mNegSc,axiom,
    ! [X1] :
      ( aScalar0(X1)
     => aScalar0(smndt0(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNegSc) ).

fof(m__1930,hypothesis,
    ( xS = sdtasdt0(xF,xD)
    & aScalar0(xS) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).

fof(m__2180,hypothesis,
    sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2180) ).

fof(m__1949,hypothesis,
    ( xN = sdtasdt0(xR,xS)
    & aScalar0(xN) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1949) ).

fof(c_0_17,plain,
    ! [X1] :
      ( aVector0(X1)
     => ( aDimensionOf0(X1) != sz00
       => ! [X2] :
            ( X2 = sziznziztdt0(X1)
          <=> ( ! [X3] :
                  ( aNaturalNumber0(X3)
                 => sdtlbdtrb0(X2,X3) = sdtlbdtrb0(X1,X3) )
              & szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(X1)
              & aVector0(X2) ) ) ) ),
    inference(fof_simplification,[status(thm)],[mDefInit]) ).

fof(c_0_18,plain,
    ! [X62,X63,X64,X65] :
      ( ( ~ aVector0(X62)
        | aDimensionOf0(X62) = sz00
        | X65 = sziznziztdt0(X62)
        | szszuzczcdt0(aDimensionOf0(X65)) != aDimensionOf0(X62)
        | ~ aVector0(X65)
        | sdtlbdtrb0(X65,esk2_2(X62,X65)) != sdtlbdtrb0(X62,esk2_2(X62,X65)) )
      & ( ~ aVector0(X62)
        | aDimensionOf0(X62) = sz00
        | X65 = sziznziztdt0(X62)
        | szszuzczcdt0(aDimensionOf0(X65)) != aDimensionOf0(X62)
        | ~ aVector0(X65)
        | aNaturalNumber0(esk2_2(X62,X65)) )
      & ( ~ aVector0(X62)
        | aDimensionOf0(X62) = sz00
        | X63 != sziznziztdt0(X62)
        | sdtlbdtrb0(X63,X64) = sdtlbdtrb0(X62,X64)
        | ~ aNaturalNumber0(X64) )
      & ( ~ aVector0(X62)
        | aDimensionOf0(X62) = sz00
        | X63 != sziznziztdt0(X62)
        | szszuzczcdt0(aDimensionOf0(X63)) = aDimensionOf0(X62) )
      & ( ~ aVector0(X62)
        | aDimensionOf0(X62) = sz00
        | X63 != sziznziztdt0(X62)
        | aVector0(X63) ) ),
    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_17])])])])])])]) ).

fof(c_0_19,hypothesis,
    aDimensionOf0(xs) != sz00,
    inference(fof_simplification,[status(thm)],[m__1692]) ).

cnf(c_0_20,plain,
    ( ~ aVector0(X2)
    | X1 != sziznziztdt0(X2)
    | aDimensionOf0(X2) = sz00
    | szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_21,hypothesis,
    aDimensionOf0(xs) != sz00,
    inference(fof_nnf,[status(thm)],[c_0_19]) ).

fof(c_0_22,plain,
    ! [X9,X10] :
      ( X9 = X10
      | szszuzczcdt0(X9) != szszuzczcdt0(X10)
      | ~ aNaturalNumber0(X10)
      | ~ aNaturalNumber0(X9) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccEqu])])]) ).

cnf(c_0_23,plain,
    ( ~ aVector0(X1)
    | aDimensionOf0(X1) = sz00
    | szszuzczcdt0(aDimensionOf0(sziznziztdt0(X1))) = aDimensionOf0(X1) ),
    inference(er,[status(thm)],[c_0_20]) ).

cnf(c_0_24,hypothesis,
    xq = sziznziztdt0(xt),
    inference(split_conjunct,[status(thm)],[m__1726]) ).

cnf(c_0_25,hypothesis,
    aDimensionOf0(xs) = aDimensionOf0(xt),
    inference(split_conjunct,[status(thm)],[m__1678_01]) ).

cnf(c_0_26,hypothesis,
    aVector0(xt),
    inference(split_conjunct,[status(thm)],[m__1678]) ).

cnf(c_0_27,hypothesis,
    aDimensionOf0(xs) != sz00,
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_28,plain,
    ( szszuzczcdt0(X1) != szszuzczcdt0(X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_29,hypothesis,
    szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xs),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_25]),c_0_26])]),c_0_27]) ).

cnf(c_0_30,hypothesis,
    xp = sziznziztdt0(xs),
    inference(split_conjunct,[status(thm)],[m__1709]) ).

cnf(c_0_31,hypothesis,
    aVector0(xs),
    inference(split_conjunct,[status(thm)],[m__1678]) ).

cnf(c_0_32,plain,
    ( ~ aVector0(X3)
    | X2 != sziznziztdt0(X3)
    | ~ aNaturalNumber0(X1)
    | aDimensionOf0(X3) = sz00
    | sdtlbdtrb0(X2,X1) = sdtlbdtrb0(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_33,hypothesis,
    ( ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(aDimensionOf0(xq))
    | szszuzczcdt0(X1) != aDimensionOf0(xs)
    | aDimensionOf0(xq) = X1 ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_34,hypothesis,
    szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_30]),c_0_31])]),c_0_27]) ).

fof(c_0_35,plain,
    ! [X59] :
      ( aNaturalNumber0(aDimensionOf0(X59))
      | ~ aVector0(X59) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDimNat])])]) ).

fof(c_0_36,plain,
    ! [X60,X61] :
      ( aScalar0(sdtlbdtrb0(X60,X61))
      | ~ aNaturalNumber0(X61)
      | ~ aVector0(X60) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mElmSc])])]) ).

cnf(c_0_37,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aVector0(X1)
    | aDimensionOf0(X1) = sz00
    | sdtlbdtrb0(sziznziztdt0(X1),X2) = sdtlbdtrb0(X1,X2) ),
    inference(er,[status(thm)],[c_0_32]) ).

cnf(c_0_38,hypothesis,
    ( ~ aNaturalNumber0(aDimensionOf0(xp))
    | ~ aNaturalNumber0(aDimensionOf0(xq))
    | aDimensionOf0(xp) = aDimensionOf0(xq) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_39,plain,
    ( ~ aVector0(X1)
    | aNaturalNumber0(aDimensionOf0(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_40,hypothesis,
    aVector0(xp),
    inference(split_conjunct,[status(thm)],[m__1709]) ).

fof(c_0_41,plain,
    ! [X21,X22,X23] :
      ( ( ~ aScalar0(X23)
        | ~ aScalar0(X22)
        | ~ aScalar0(X21)
        | sdtasdt0(X21,X22) = sdtasdt0(X22,X21) )
      & ( ~ aScalar0(X23)
        | ~ aScalar0(X22)
        | ~ aScalar0(X21)
        | sdtasdt0(sdtasdt0(X21,X22),X23) = sdtasdt0(X21,sdtasdt0(X22,X23)) )
      & ( ~ aScalar0(X23)
        | ~ aScalar0(X22)
        | ~ aScalar0(X21)
        | sdtpldt0(X21,X22) = sdtpldt0(X22,X21) )
      & ( ~ aScalar0(X23)
        | ~ aScalar0(X22)
        | ~ aScalar0(X21)
        | sdtpldt0(sdtpldt0(X21,X22),X23) = sdtpldt0(X21,sdtpldt0(X22,X23)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mArith])])])]) ).

cnf(c_0_42,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aVector0(X1)
    | aScalar0(sdtlbdtrb0(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_43,hypothesis,
    ( ~ aNaturalNumber0(X1)
    | sdtlbdtrb0(xt,X1) = sdtlbdtrb0(xq,X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_24]),c_0_25]),c_0_26])]),c_0_27]) ).

cnf(c_0_44,hypothesis,
    ( ~ aNaturalNumber0(aDimensionOf0(xq))
    | aDimensionOf0(xp) = aDimensionOf0(xq) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).

cnf(c_0_45,hypothesis,
    aVector0(xq),
    inference(split_conjunct,[status(thm)],[m__1726]) ).

fof(c_0_46,plain,
    ! [X17,X18] :
      ( aScalar0(sdtasdt0(X17,X18))
      | ~ aScalar0(X18)
      | ~ aScalar0(X17) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulSc])])]) ).

fof(c_0_47,negated_conjecture,
    sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),
    inference(assume_negation,[status(cth)],[m__]) ).

cnf(c_0_48,plain,
    ( ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_49,hypothesis,
    ( ~ aNaturalNumber0(X1)
    | aScalar0(sdtlbdtrb0(xq,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_26])]) ).

cnf(c_0_50,hypothesis,
    aDimensionOf0(xp) = aDimensionOf0(xq),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_39]),c_0_45])]) ).

cnf(c_0_51,plain,
    ( ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | aScalar0(sdtasdt0(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_52,hypothesis,
    sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
    inference(split_conjunct,[status(thm)],[m__2144]) ).

fof(c_0_53,plain,
    ! [X19] :
      ( aScalar0(smndt0(X19))
      | ~ aScalar0(X19) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNegSc])])]) ).

fof(c_0_54,negated_conjecture,
    sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

cnf(c_0_55,hypothesis,
    ( ~ aNaturalNumber0(X3)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_56,hypothesis,
    aNaturalNumber0(aDimensionOf0(xq)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_50]),c_0_40])]) ).

cnf(c_0_57,hypothesis,
    ( ~ aScalar0(smndt0(xS))
    | aScalar0(sdtasdt0(xS,xS)) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_58,plain,
    ( ~ aScalar0(X1)
    | aScalar0(smndt0(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_59,hypothesis,
    aScalar0(xS),
    inference(split_conjunct,[status(thm)],[m__1930]) ).

fof(c_0_60,negated_conjecture,
    sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),
    inference(fof_nnf,[status(thm)],[c_0_54]) ).

cnf(c_0_61,hypothesis,
    sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
    inference(split_conjunct,[status(thm)],[m__2180]) ).

cnf(c_0_62,hypothesis,
    ( ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_63,hypothesis,
    aScalar0(sdtasdt0(xS,xS)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59])]) ).

cnf(c_0_64,negated_conjecture,
    sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_65,hypothesis,
    ~ aScalar0(smndt0(xN)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63])]),c_0_64]) ).

cnf(c_0_66,hypothesis,
    aScalar0(xN),
    inference(split_conjunct,[status(thm)],[m__1949]) ).

cnf(c_0_67,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_58]),c_0_66])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : RNG061+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37  % Computer : n017.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Mon Sep 21 04:11:56 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.37  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.44  Running first-order theorem proving
% 0.15/0.44  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/benchmark/theBenchmark.p
% 0.15/0.48  % Version: 3.5.1
% 0.15/0.48  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.48  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.48  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.48  % Starting new_bool_3 with 300s (1) cores
% 0.15/0.48  % Starting new_bool_1 with 300s (1) cores
% 0.15/0.48  % Starting sh5l with 300s (1) cores
% 0.15/0.48  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1399059 completed with status 0
% 0.15/0.48  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.15/0.48  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.48  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.48  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.48  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.48  % No SInE strategy applied
% 0.15/0.48  % Search class: FGHSF-FFMM21-MFFFFFNN
% 0.15/0.48  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.48  % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.48  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.15/0.48  % Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.15/0.48  % Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 136s (1) cores
% 0.15/0.48  % Starting new_bool_3 with 136s (1) cores
% 0.15/0.48  % SAT001_MinMin_p005000_rr_RG with pid 1399068 completed with status 0
% 0.15/0.48  % Result found by SAT001_MinMin_p005000_rr_RG
% 0.15/0.48  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.48  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.48  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.48  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.48  % No SInE strategy applied
% 0.15/0.48  % Search class: FGHSF-FFMM21-MFFFFFNN
% 0.15/0.48  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.48  % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.48  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.15/0.48  % Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.15/0.48  % Preprocessing time       : 0.001 s
% 0.15/0.48  % Presaturation interreduction done
% 0.15/0.48  
% 0.15/0.48  % Proof found!
% 0.15/0.48  % SZS status Theorem
% 0.15/0.48  % SZS output start CNFRefutation
% See solution above
% 0.15/0.48  % Parsed axioms                        : 60
% 0.15/0.48  % Removed by relevancy pruning/SinE    : 0
% 0.15/0.48  % Initial clauses                      : 96
% 0.15/0.48  % Removed in clause preprocessing      : 5
% 0.15/0.48  % Initial clauses in saturation        : 91
% 0.15/0.48  % Processed clauses                    : 244
% 0.15/0.48  % ...of these trivial                  : 1
% 0.15/0.48  % ...subsumed                          : 10
% 0.15/0.48  % ...remaining for further processing  : 233
% 0.15/0.48  % Other redundant clauses eliminated   : 7
% 0.15/0.48  % Clauses deleted for lack of memory   : 0
% 0.15/0.48  % Backward-subsumed                    : 3
% 0.15/0.48  % Backward-rewritten                   : 9
% 0.15/0.48  % Generated clauses                    : 592
% 0.15/0.48  % ...of the previous two non-redundant : 530
% 0.15/0.48  % ...aggressively subsumed             : 0
% 0.15/0.48  % Contextual simplify-reflections      : 0
% 0.15/0.48  % Paramodulations                      : 583
% 0.15/0.48  % Factorizations                       : 0
% 0.15/0.48  % NegExts                              : 0
% 0.15/0.48  % Equation resolutions                 : 9
% 0.15/0.48  % Disequality decompositions           : 0
% 0.15/0.48  % Total rewrite steps                  : 474
% 0.15/0.48  % ...of those cached                   : 438
% 0.15/0.48  % Propositional unsat checks           : 0
% 0.15/0.48  %    Propositional check models        : 0
% 0.15/0.48  %    Propositional check unsatisfiable : 0
% 0.15/0.48  %    Propositional clauses             : 0
% 0.15/0.48  %    Propositional clauses after purity: 0
% 0.15/0.48  %    Propositional unsat core size     : 0
% 0.15/0.48  %    Propositional preprocessing time  : 0.000
% 0.15/0.48  %    Propositional encoding time       : 0.000
% 0.15/0.48  %    Propositional solver time         : 0.000
% 0.15/0.48  %    Success case prop preproc time    : 0.000
% 0.15/0.48  %    Success case prop encoding time   : 0.000
% 0.15/0.48  %    Success case prop solver time     : 0.000
% 0.15/0.48  % Current number of processed clauses  : 127
% 0.15/0.48  %    Positive orientable unit clauses  : 59
% 0.15/0.48  %    Positive unorientable unit clauses: 0
% 0.15/0.48  %    Negative unit clauses             : 3
% 0.15/0.48  %    Non-unit-clauses                  : 65
% 0.15/0.48  % Current number of unprocessed clauses: 450
% 0.15/0.48  % ...number of literals in the above   : 1598
% 0.15/0.48  % Current number of archived formulas  : 0
% 0.15/0.48  % Current number of archived clauses   : 103
% 0.15/0.48  % Clause-clause subsumption calls (NU) : 2202
% 0.15/0.48  % Rec. Clause-clause subsumption calls : 1117
% 0.15/0.48  % Non-unit clause-clause subsumptions  : 11
% 0.15/0.48  % Unit Clause-clause subsumption calls : 110
% 0.15/0.48  % Rewrite failures with RHS unbound    : 0
% 0.15/0.48  % BW rewrite match attempts            : 6
% 0.15/0.48  % BW rewrite match successes           : 6
% 0.15/0.48  % Condensation attempts                : 0
% 0.15/0.48  % Condensation successes               : 0
% 0.15/0.48  % Termbank termtop insertions          : 15922
% 0.15/0.48  % Search garbage collected termcells   : 883
% 0.15/0.48  
% 0.15/0.48  % -------------------------------------------------
% 0.15/0.48  % User time                : 0.020 s
% 0.15/0.48  % System time              : 0.004 s
% 0.15/0.48  % Total time               : 0.024 s
% 0.15/0.48  % Maximum resident set size: 3704 pages
% 0.15/0.48  
% 0.15/0.48  % -------------------------------------------------
% 0.15/0.48  % User time                : 0.054 s
% 0.15/0.48  % System time              : 0.016 s
% 0.15/0.48  % Total time               : 0.070 s
% 0.15/0.48  % Maximum resident set size: 4864 pages
% 0.15/0.48  % E exiting
%------------------------------------------------------------------------------