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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : NUM434+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n020.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 : Fri Sep 25 02:24:14 PM UTC 2026

% Result   : Theorem 2.97s 6.74s
% Output   : CNFRefutation 2.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   82 (  20 unt;   0 def)
%            Number of atoms       :  267 (  85 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  325 ( 140   ~; 134   |;  38   &)
%                                         (   5 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   96 (   0 sgn  89   !;   7   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    aInteger0(sz00),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntZero) ).

fof(f4,axiom,
    ! [X0] :
      ( aInteger0(X0)
     => aInteger0(smndt0(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntNeg) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ( aInteger0(X1)
        & aInteger0(X0) )
     => aInteger0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntPlus) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ( aInteger0(X1)
        & aInteger0(X0) )
     => aInteger0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntMult) ).

fof(f15,axiom,
    ! [X0] :
      ( aInteger0(X0)
     => ( sz00 = sdtasdt0(sz00,X0)
        & sdtasdt0(X0,sz00) = sz00 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulZero) ).

fof(f17,axiom,
    ! [X0,X1] :
      ( ( aInteger0(X1)
        & aInteger0(X0) )
     => ( sdtasdt0(X0,X1) = sz00
       => ( X1 = sz00
          | X0 = sz00 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroDiv) ).

fof(f18,axiom,
    ! [X0] :
      ( aInteger0(X0)
     => ! [X1] :
          ( aDivisorOf0(X1,X0)
        <=> ( ? [X2] :
                ( sdtasdt0(X1,X2) = X0
                & aInteger0(X2) )
            & X1 != sz00
            & aInteger0(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivisor) ).

fof(f19,axiom,
    ! [X0,X1,X2] :
      ( ( X2 != sz00
        & aInteger0(X2)
        & aInteger0(X1)
        & aInteger0(X0) )
     => ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
      <=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEquMod) ).

fof(f23,axiom,
    ( xq != sz00
    & aInteger0(xq)
    & xp != sz00
    & aInteger0(xp)
    & aInteger0(xb)
    & aInteger0(xa) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__979) ).

fof(f24,axiom,
    sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1003) ).

fof(f25,conjecture,
    ? [X0] :
      ( sdtasdt0(sdtasdt0(xp,xq),X0) = sdtpldt0(xa,smndt0(xb))
      & aInteger0(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f26,negated_conjecture,
    ~ ? [X0] :
        ( sdtasdt0(sdtasdt0(xp,xq),X0) = sdtpldt0(xa,smndt0(xb))
        & aInteger0(X0) ),
    inference(negated_conjecture,[status(cth)],[f25]) ).

fof(f28,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | aInteger0(smndt0(X0)) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | aInteger0(sdtpldt0(X0,X1)) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | aInteger0(sdtpldt0(X0,X1)) ),
    inference(flattening,[],[f29]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | aInteger0(sdtasdt0(X0,X1)) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | aInteger0(sdtasdt0(X0,X1)) ),
    inference(flattening,[],[f31]) ).

fof(f46,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | ( sz00 = sdtasdt0(sz00,X0)
        & sdtasdt0(X0,sz00) = sz00 ) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | sz00 != sdtasdt0(X0,X1)
      | X1 = sz00
      | X0 = sz00 ),
    inference(ennf_transformation,[],[f17]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | sz00 != sdtasdt0(X0,X1)
      | X1 = sz00
      | X0 = sz00 ),
    inference(flattening,[],[f48]) ).

fof(f50,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | ! [X1] :
          ( aDivisorOf0(X1,X0)
        <=> ( ? [X2] :
                ( sdtasdt0(X1,X2) = X0
                & aInteger0(X2) )
            & X1 != sz00
            & aInteger0(X1) ) ) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f51,plain,
    ! [X0,X1,X2] :
      ( sz00 = X2
      | ~ aInteger0(X2)
      | ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
      <=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) ) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f52,plain,
    ! [X0,X1,X2] :
      ( sz00 = X2
      | ~ aInteger0(X2)
      | ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
      <=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) ) ),
    inference(flattening,[],[f51]) ).

fof(f59,plain,
    ! [X0] :
      ( sdtasdt0(sdtasdt0(xp,xq),X0) != sdtpldt0(xa,smndt0(xb))
      | ~ aInteger0(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f60,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | ! [X1] :
          ( ( ~ aDivisorOf0(X1,X0)
            | ( ? [X2] :
                  ( sdtasdt0(X1,X2) = X0
                  & aInteger0(X2) )
              & X1 != sz00
              & aInteger0(X1) ) )
          & ( ! [X2] :
                ( sdtasdt0(X1,X2) != X0
                | ~ aInteger0(X2) )
            | sz00 = X1
            | ~ aInteger0(X1)
            | aDivisorOf0(X1,X0) ) ) ),
    inference(nnf_transformation,[],[f50]) ).

fof(f61,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | ! [X1] :
          ( ( ~ aDivisorOf0(X1,X0)
            | ( ? [X2] :
                  ( sdtasdt0(X1,X2) = X0
                  & aInteger0(X2) )
              & X1 != sz00
              & aInteger0(X1) ) )
          & ( ! [X2] :
                ( sdtasdt0(X1,X2) != X0
                | ~ aInteger0(X2) )
            | sz00 = X1
            | ~ aInteger0(X1)
            | aDivisorOf0(X1,X0) ) ) ),
    inference(flattening,[],[f60]) ).

fof(f62,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | ! [X1] :
          ( ( ~ aDivisorOf0(X1,X0)
            | ( ? [X3] :
                  ( sdtasdt0(X1,X3) = X0
                  & aInteger0(X3) )
              & X1 != sz00
              & aInteger0(X1) ) )
          & ( ! [X2] :
                ( sdtasdt0(X1,X2) != X0
                | ~ aInteger0(X2) )
            | sz00 = X1
            | ~ aInteger0(X1)
            | aDivisorOf0(X1,X0) ) ) ),
    inference(rectify,[],[f61]) ).

fof(f63,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | ! [X1] :
          ( ( ~ aDivisorOf0(X1,X0)
            | ( sdtasdt0(X1,sK0(X0,X1)) = X0
              & aInteger0(sK0(X0,X1))
              & X1 != sz00
              & aInteger0(X1) ) )
          & ( ! [X2] :
                ( sdtasdt0(X1,X2) != X0
                | ~ aInteger0(X2) )
            | sz00 = X1
            | ~ aInteger0(X1)
            | aDivisorOf0(X1,X0) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f62]) ).

fof(f64,plain,
    ! [X0,X1,X2] :
      ( sz00 = X2
      | ~ aInteger0(X2)
      | ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | ( ( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
          | aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
        & ( ~ aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
          | sdteqdtlpzmzozddtrp0(X0,X1,X2) ) ) ),
    inference(nnf_transformation,[],[f52]) ).

fof(f65,plain,
    aInteger0(sz00),
    inference(cnf_transformation,[],[f2]) ).

fof(f67,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | aInteger0(smndt0(X0)) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | aInteger0(sdtpldt0(X0,X1)) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | aInteger0(sdtasdt0(X0,X1)) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f82,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | sz00 = sdtasdt0(sz00,X0) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | sz00 != sdtasdt0(X0,X1)
      | sz00 = X1
      | sz00 = X0 ),
    inference(cnf_transformation,[],[f49]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X0)
      | ~ aDivisorOf0(X1,X0)
      | sdtasdt0(X1,sK0(X0,X1)) = X0 ),
    inference(cnf_transformation,[],[f63]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X0)
      | ~ aDivisorOf0(X1,X0)
      | aInteger0(sK0(X0,X1)) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f92,plain,
    ! [X2,X0,X1] :
      ( sz00 = X2
      | ~ aInteger0(X2)
      | ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
      | aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f97,plain,
    sz00 != xq,
    inference(cnf_transformation,[],[f23]) ).

fof(f98,plain,
    aInteger0(xq),
    inference(cnf_transformation,[],[f23]) ).

fof(f99,plain,
    sz00 != xp,
    inference(cnf_transformation,[],[f23]) ).

fof(f100,plain,
    aInteger0(xp),
    inference(cnf_transformation,[],[f23]) ).

fof(f101,plain,
    aInteger0(xb),
    inference(cnf_transformation,[],[f23]) ).

fof(f102,plain,
    aInteger0(xa),
    inference(cnf_transformation,[],[f23]) ).

fof(f103,plain,
    sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq)),
    inference(cnf_transformation,[],[f24]) ).

fof(f104,plain,
    ! [X0] :
      ( sdtasdt0(sdtasdt0(xp,xq),X0) != sdtpldt0(xa,smndt0(xb))
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_49,plain,
    aInteger0(sz00),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_51,plain,
    ! [X0: $i] :
      ( aInteger0(smndt0(X0))
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f67]) ).

tcf(c_52,plain,
    ! [X0: $i,X1: $i] :
      ( aInteger0(sdtpldt0(X0,X1))
      | ~ aInteger0(X1)
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i] :
      ( aInteger0(sdtasdt0(X0,X1))
      | ~ aInteger0(X1)
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_67,plain,
    ! [X0: $i] :
      ( ( sdtasdt0(sz00,X0) = sz00 )
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_70,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = sz00 )
      | ( X0 = sz00 )
      | ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | ( sdtasdt0(X0,X1) != sz00 ) ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_74,plain,
    ! [X0: $i,X1: $i] :
      ( aInteger0(sK0(X1,X0))
      | ~ aInteger0(X1)
      | ~ aDivisorOf0(X0,X1) ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_75,plain,
    ! [X0: $i,X1: $i] :
      ( ( sdtasdt0(X0,sK0(X1,X0)) = X1 )
      | ~ aInteger0(X1)
      | ~ aDivisorOf0(X0,X1) ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_77,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
      | ( X2 = sz00 )
      | ~ aInteger0(X2)
      | ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | ~ sdteqdtlpzmzozddtrp0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_81,plain,
    aInteger0(xa),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_82,plain,
    aInteger0(xb),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_83,plain,
    aInteger0(xp),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_84,plain,
    sz00 != xp,
    inference(cnf_transformation,[],[f99]) ).

tcf(c_85,plain,
    aInteger0(xq),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_86,plain,
    sz00 != xq,
    inference(cnf_transformation,[],[f97]) ).

tcf(c_87,plain,
    sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq)),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_88,negated_conjecture,
    ! [X0: $i] :
      ( ~ aInteger0(X0)
      | ( sdtasdt0(sdtasdt0(xp,xq),X0) != sdtpldt0(xa,smndt0(xb)) ) ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_91,plain,
    ( ( sdtasdt0(sz00,sz00) = sz00 )
    | ~ aInteger0(sz00) ),
    inference(instantiation,[status(thm)],[c_67]) ).

tcf(c_106,plain,
    ( ( sz00 = sz00 )
    | ~ aInteger0(sz00)
    | ( sdtasdt0(sz00,sz00) != sz00 ) ),
    inference(instantiation,[status(thm)],[c_70]) ).

tcf(c_530,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2 = X0 )
      | ( X2 != X1 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_1088,plain,
    ! [X0: $i] :
      ( ( sz00 = xp )
      | ( xp != X0 )
      | ( sz00 != X0 ) ),
    inference(instantiation,[status(thm)],[c_530]) ).

tcf(c_1089,plain,
    ( ( sz00 = xp )
    | ( xp != sz00 )
    | ( sz00 != sz00 ) ),
    inference(instantiation,[status(thm)],[c_1088]) ).

tcf(c_1090,plain,
    ! [X0: $i] :
      ( ( sz00 = xq )
      | ( xq != X0 )
      | ( sz00 != X0 ) ),
    inference(instantiation,[status(thm)],[c_530]) ).

tcf(c_1091,plain,
    ( ( sz00 = xq )
    | ( xq != sz00 )
    | ( sz00 != sz00 ) ),
    inference(instantiation,[status(thm)],[c_1090]) ).

tcf(c_1191,plain,
    ! [X0: $i] :
      ( ( xq = sz00 )
      | ( X0 = sz00 )
      | ~ aInteger0(xq)
      | ~ aInteger0(X0)
      | ( sdtasdt0(X0,xq) != sz00 ) ),
    inference(instantiation,[status(thm)],[c_70]) ).

tcf(c_1211,plain,
    ( aInteger0(sdtpldt0(xa,smndt0(xb)))
    | ~ aInteger0(xa)
    | ~ aInteger0(smndt0(xb)) ),
    inference(instantiation,[status(thm)],[c_52]) ).

tcf(c_1289,plain,
    ( ( xq = sz00 )
    | ( xp = sz00 )
    | ~ aInteger0(xq)
    | ~ aInteger0(xp)
    | ( sdtasdt0(xp,xq) != sz00 ) ),
    inference(instantiation,[status(thm)],[c_1191]) ).

tcf(c_2897,plain,
    ( aInteger0(smndt0(xb))
    | ~ aInteger0(xb) ),
    inference(instantiation,[status(thm)],[c_51]) ).

tcf(c_3496,plain,
    ( ~ aInteger0(sdtpldt0(xa,smndt0(xb)))
    | ~ aDivisorOf0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb)))
    | ~ aInteger0(sK0(sdtpldt0(xa,smndt0(xb)),sdtasdt0(xp,xq))) ),
    inference(resolution,[status(thm)],[c_75,c_88]) ).

tcf(c_4222,plain,
    ( aInteger0(sdtasdt0(xp,xq))
    | ~ aInteger0(xq)
    | ~ aInteger0(xp) ),
    inference(instantiation,[status(thm)],[c_53]) ).

tcf(c_6200,plain,
    ( ~ aInteger0(sK0(sdtpldt0(xa,smndt0(xb)),sdtasdt0(xp,xq)))
    | ~ aDivisorOf0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb))) ),
    inference(global_subsumption_just,[status(thm)],[c_3496,c_82,c_81,c_1211,c_2897,c_3496]) ).

tcf(c_6201,plain,
    ( ~ aDivisorOf0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb)))
    | ~ aInteger0(sK0(sdtpldt0(xa,smndt0(xb)),sdtasdt0(xp,xq))) ),
    inference(renaming,[status(thm)],[c_6200]) ).

tcf(c_8345,plain,
    ( ~ aInteger0(sdtpldt0(xa,smndt0(xb)))
    | ~ aDivisorOf0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb))) ),
    inference(resolution,[status(thm)],[c_6201,c_74]) ).

tcf(c_8346,plain,
    ~ aDivisorOf0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb))),
    inference(global_subsumption_just,[status(thm)],[c_8345,c_82,c_81,c_1211,c_2897,c_8345]) ).

tcf(c_8369,plain,
    ( ( sdtasdt0(xp,xq) = sz00 )
    | ~ aInteger0(xb)
    | ~ aInteger0(xa)
    | ~ aInteger0(sdtasdt0(xp,xq))
    | ~ sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq)) ),
    inference(resolution,[status(thm)],[c_8346,c_77]) ).

tcf(c_8370,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_8369,c_4222,c_1289,c_1091,c_1089,c_106,c_91,c_87,c_84,c_86,c_49,c_81,c_82,c_83,c_85]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM434+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.37  % Computer : n020.cluster.edu
% 0.09/5.37  % Model    : x86_64 x86_64
% 0.09/5.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37  % Memory   : 8046.5625MB
% 0.09/5.37  % OS       : Linux 6.8.0-71-generic
% 0.09/5.37  % CPULimit : 300
% 0.09/5.37  % WCLimit  : 300
% 0.09/5.37  % DateTime : Thu Sep 24 03:58:24 UTC 2026
% 0.09/5.37  % CPUTime  : 
% 0.09/5.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/5.41  Running first-order theorem proving
% 0.13/5.41  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/5.42  
% 0.13/5.42  % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.42  
% 0.13/5.42  % Detected problem language: tptp
% 0.13/5.43  % Proving...
% 2.97/6.74  % SZS status Started for theBenchmark.p
% 2.97/6.74  % SZS status Theorem for theBenchmark.p
% 2.97/6.74  
% 2.97/6.74  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.97/6.74  
% 2.97/6.74  % ------  iProver source info
% 2.97/6.74  
% 2.97/6.74  % git: date: 2026-07-19 20:42:38 +0200
% 2.97/6.74  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.97/6.74  % git: non_committed_changes: false
% 2.97/6.74  
% 2.97/6.74  % ------ Parsing...
% 2.97/6.74  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 2.97/6.74  
% 2.97/6.74  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 2.97/6.74  
% 2.97/6.74  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 2.97/6.74  
% 2.97/6.74  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.97/6.74  % ------ Proving...
% 2.97/6.74  % ------ Problem Properties 
% 2.97/6.74  
% 2.97/6.74  % 
% 2.97/6.74  % clauses                               40
% 2.97/6.74  % conjectures                           1
% 2.97/6.74  % EPR                                   13
% 2.97/6.74  % Horn                                  33
% 2.97/6.74  % unary                                 9
% 2.97/6.74  % binary                                13
% 2.97/6.74  % lits                                  111
% 2.97/6.74  % lits eq                               29
% 2.97/6.74  % fd_pure                               0
% 2.97/6.74  % fd_pseudo                             0
% 2.97/6.74  % fd_cond                               7
% 2.97/6.74  % fd_pseudo_cond                        0
% 2.97/6.74  % AC symbols                            0
% 2.97/6.74  
% 2.97/6.74  % ------ Input Options Time Limit: Unbounded
% 2.97/6.74  
% 2.97/6.74  
% 2.97/6.74  % ------ 
% 2.97/6.74  % Current options:
% 2.97/6.74  % ------ 
% 2.97/6.74  
% 2.97/6.74  
% 2.97/6.74  % 
% 2.97/6.74  
% 2.97/6.74  % ------ Proving...
% 2.97/6.74  % 
% 2.97/6.74  
% 2.97/6.74  % SZS status Theorem for theBenchmark.p
% 2.97/6.74  
% 2.97/6.74  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.97/6.74  
% 2.97/6.74  
%------------------------------------------------------------------------------