↑ Up

iProver---3.9.4.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : RNG099+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 : n019.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 02:38:56 PM UTC 2026

% Result   : Theorem 4.16s 11.34s
% Output   : CNFRefutation 4.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   77 (  29 unt;   0 def)
%            Number of atoms       :  238 (   4 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  268 ( 107   ~; 101   |;  43   &)
%                                         (   6 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-2 aty)
%            Number of variables   :   91 (   0 sgn  80   !;  11   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0,X1] :
      ( ( aElement0(X1)
        & aElement0(X0) )
     => aElement0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ( aElement0(X1)
        & aElement0(X0) )
     => aElement0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).

fof(f20,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aElementOf0(X1,X0)
         => aElement0(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).

fof(f24,axiom,
    ! [X0] :
      ( aIdeal0(X0)
    <=> ( ! [X1] :
            ( aElementOf0(X1,X0)
           => ( ! [X2] :
                  ( aElement0(X2)
                 => aElementOf0(sdtasdt0(X2,X1),X0) )
              & ! [X2] :
                  ( aElementOf0(X2,X0)
                 => aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
        & aSet0(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).

fof(f27,axiom,
    ! [X0,X1,X2] :
      ( ( aIdeal0(X2)
        & aElement0(X1)
        & aElement0(X0) )
     => ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
      <=> aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMod) ).

fof(f28,axiom,
    ( aIdeal0(xJ)
    & aIdeal0(xI) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1205) ).

fof(f30,axiom,
    ( aElement0(xy)
    & aElement0(xx) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1217) ).

fof(f31,axiom,
    ( sdtpldt0(xa,xb) = sz10
    & aElementOf0(xb,xJ)
    & aElementOf0(xa,xI) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1294) ).

fof(f32,axiom,
    xw = sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1319) ).

fof(f33,axiom,
    aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1332) ).

fof(f34,axiom,
    aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1409) ).

fof(f35,conjecture,
    ? [X0] :
      ( sdteqdtlpzmzozddtrp0(X0,xy,xJ)
      & sdteqdtlpzmzozddtrp0(X0,xx,xI)
      & aElement0(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f36,negated_conjecture,
    ~ ? [X0] :
        ( sdteqdtlpzmzozddtrp0(X0,xy,xJ)
        & sdteqdtlpzmzozddtrp0(X0,xx,xI)
        & aElement0(X0) ),
    inference(negated_conjecture,[status(cth)],[f35]) ).

fof(f40,plain,
    ! [X0] :
      ( aIdeal0(X0)
    <=> ( ! [X1] :
            ( aElementOf0(X1,X0)
           => ( ! [X3] :
                  ( aElement0(X3)
                 => aElementOf0(sdtasdt0(X3,X1),X0) )
              & ! [X2] :
                  ( aElementOf0(X2,X0)
                 => aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
        & aSet0(X0) ) ),
    inference(rectify,[],[f24]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ~ aElement0(X1)
      | ~ aElement0(X0)
      | aElement0(sdtpldt0(X0,X1)) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ~ aElement0(X1)
      | ~ aElement0(X0)
      | aElement0(sdtpldt0(X0,X1)) ),
    inference(flattening,[],[f42]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ~ aElement0(X1)
      | ~ aElement0(X0)
      | aElement0(sdtasdt0(X0,X1)) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( ~ aElement0(X1)
      | ~ aElement0(X0)
      | aElement0(sdtasdt0(X0,X1)) ),
    inference(flattening,[],[f44]) ).

fof(f63,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ! [X1] :
          ( ~ aElementOf0(X1,X0)
          | aElement0(X1) ) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f70,plain,
    ! [X0] :
      ( aIdeal0(X0)
    <=> ( ! [X1] :
            ( ~ aElementOf0(X1,X0)
            | ( ! [X3] :
                  ( ~ aElement0(X3)
                  | aElementOf0(sdtasdt0(X3,X1),X0) )
              & ! [X2] :
                  ( ~ aElementOf0(X2,X0)
                  | aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
        & aSet0(X0) ) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f75,plain,
    ! [X0,X1,X2] :
      ( ~ aIdeal0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
      <=> aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) ) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f76,plain,
    ! [X0,X1,X2] :
      ( ~ aIdeal0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
      <=> aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) ) ),
    inference(flattening,[],[f75]) ).

fof(f78,plain,
    ! [X0] :
      ( ~ sdteqdtlpzmzozddtrp0(X0,xy,xJ)
      | ~ sdteqdtlpzmzozddtrp0(X0,xx,xI)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f93,plain,
    ! [X0] :
      ( ( ~ aIdeal0(X0)
        | ( ! [X1] :
              ( ~ aElementOf0(X1,X0)
              | ( ! [X3] :
                    ( ~ aElement0(X3)
                    | aElementOf0(sdtasdt0(X3,X1),X0) )
                & ! [X2] :
                    ( ~ aElementOf0(X2,X0)
                    | aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
          & aSet0(X0) ) )
      & ( ? [X1] :
            ( aElementOf0(X1,X0)
            & ( ? [X3] :
                  ( aElement0(X3)
                  & ~ aElementOf0(sdtasdt0(X3,X1),X0) )
              | ? [X2] :
                  ( aElementOf0(X2,X0)
                  & ~ aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
        | ~ aSet0(X0)
        | aIdeal0(X0) ) ),
    inference(nnf_transformation,[],[f70]) ).

fof(f94,plain,
    ! [X0] :
      ( ( ~ aIdeal0(X0)
        | ( ! [X1] :
              ( ~ aElementOf0(X1,X0)
              | ( ! [X3] :
                    ( ~ aElement0(X3)
                    | aElementOf0(sdtasdt0(X3,X1),X0) )
                & ! [X2] :
                    ( ~ aElementOf0(X2,X0)
                    | aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
          & aSet0(X0) ) )
      & ( ? [X1] :
            ( aElementOf0(X1,X0)
            & ( ? [X3] :
                  ( aElement0(X3)
                  & ~ aElementOf0(sdtasdt0(X3,X1),X0) )
              | ? [X2] :
                  ( aElementOf0(X2,X0)
                  & ~ aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
        | ~ aSet0(X0)
        | aIdeal0(X0) ) ),
    inference(flattening,[],[f93]) ).

fof(f95,plain,
    ! [X0] :
      ( ( ~ aIdeal0(X0)
        | ( ! [X4] :
              ( ~ aElementOf0(X4,X0)
              | ( ! [X6] :
                    ( ~ aElement0(X6)
                    | aElementOf0(sdtasdt0(X6,X4),X0) )
                & ! [X5] :
                    ( ~ aElementOf0(X5,X0)
                    | aElementOf0(sdtpldt0(X4,X5),X0) ) ) )
          & aSet0(X0) ) )
      & ( ? [X1] :
            ( aElementOf0(X1,X0)
            & ( ? [X3] :
                  ( aElement0(X3)
                  & ~ aElementOf0(sdtasdt0(X3,X1),X0) )
              | ? [X2] :
                  ( aElementOf0(X2,X0)
                  & ~ aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
        | ~ aSet0(X0)
        | aIdeal0(X0) ) ),
    inference(rectify,[],[f94]) ).

fof(f96,plain,
    ! [X0] :
      ( ( ~ aIdeal0(X0)
        | ( ! [X4] :
              ( ~ aElementOf0(X4,X0)
              | ( ! [X6] :
                    ( ~ aElement0(X6)
                    | aElementOf0(sdtasdt0(X6,X4),X0) )
                & ! [X5] :
                    ( ~ aElementOf0(X5,X0)
                    | aElementOf0(sdtpldt0(X4,X5),X0) ) ) )
          & aSet0(X0) ) )
      & ( ( aElementOf0(sK10(X0),X0)
          & ( ( aElement0(sK12(X0))
              & ~ aElementOf0(sdtasdt0(sK12(X0),sK10(X0)),X0) )
            | ( aElementOf0(sK11(X0),X0)
              & ~ aElementOf0(sdtpldt0(sK10(X0),sK11(X0)),X0) ) ) )
        | ~ aSet0(X0)
        | aIdeal0(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12]),skolemize(X1,sK10(X0)),skolemize(X2,sK11(X0)),skolemize(X3,sK12(X0))],[f95]) ).

fof(f97,plain,
    ! [X0,X1,X2] :
      ( ~ aIdeal0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ( ( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
          | aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) )
        & ( ~ aElementOf0(sdtpldt0(X0,smndt0(X1)),X2)
          | sdteqdtlpzmzozddtrp0(X0,X1,X2) ) ) ),
    inference(nnf_transformation,[],[f76]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( ~ aElement0(X1)
      | ~ aElement0(X0)
      | aElement0(sdtpldt0(X0,X1)) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ~ aElement0(X1)
      | ~ aElement0(X0)
      | aElement0(sdtasdt0(X0,X1)) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( ~ aSet0(X0)
      | ~ aElementOf0(X1,X0)
      | aElement0(X1) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f147,plain,
    ! [X0] :
      ( ~ aIdeal0(X0)
      | aSet0(X0) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f156,plain,
    ! [X2,X0,X1] :
      ( ~ aIdeal0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ aElementOf0(sdtpldt0(X0,smndt0(X1)),X2)
      | sdteqdtlpzmzozddtrp0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f157,plain,
    aIdeal0(xJ),
    inference(cnf_transformation,[],[f28]) ).

fof(f158,plain,
    aIdeal0(xI),
    inference(cnf_transformation,[],[f28]) ).

fof(f160,plain,
    aElement0(xy),
    inference(cnf_transformation,[],[f30]) ).

fof(f161,plain,
    aElement0(xx),
    inference(cnf_transformation,[],[f30]) ).

fof(f163,plain,
    aElementOf0(xb,xJ),
    inference(cnf_transformation,[],[f31]) ).

fof(f164,plain,
    aElementOf0(xa,xI),
    inference(cnf_transformation,[],[f31]) ).

fof(f165,plain,
    xw = sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),
    inference(cnf_transformation,[],[f32]) ).

fof(f166,plain,
    aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
    inference(cnf_transformation,[],[f33]) ).

fof(f167,plain,
    aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ),
    inference(cnf_transformation,[],[f34]) ).

fof(f168,plain,
    ! [X0] :
      ( ~ sdteqdtlpzmzozddtrp0(X0,xy,xJ)
      | ~ sdteqdtlpzmzozddtrp0(X0,xx,xI)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_52,plain,
    ! [X0: $i,X1: $i] :
      ( aElement0(sdtpldt0(X0,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i] :
      ( aElement0(sdtasdt0(X0,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_72,plain,
    ! [X0: $i,X1: $i] :
      ( aElement0(X0)
      | ~ aSet0(X1)
      | ~ aElementOf0(X0,X1) ),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_101,plain,
    ! [X0: $i] :
      ( aSet0(X0)
      | ~ aIdeal0(X0) ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_106,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
      | ~ aIdeal0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_108,plain,
    aIdeal0(xI),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_109,plain,
    aIdeal0(xJ),
    inference(cnf_transformation,[],[f157]) ).

tcf(c_111,plain,
    aElement0(xx),
    inference(cnf_transformation,[],[f161]) ).

tcf(c_112,plain,
    aElement0(xy),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_113,plain,
    aElementOf0(xa,xI),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_114,plain,
    aElementOf0(xb,xJ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_116,plain,
    sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)) = xw,
    inference(cnf_transformation,[],[f165]) ).

tcf(c_117,plain,
    aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_118,plain,
    aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_119,negated_conjecture,
    ! [X0: $i] :
      ( ~ aElement0(X0)
      | ~ sdteqdtlpzmzozddtrp0(X0,xy,xJ)
      | ~ sdteqdtlpzmzozddtrp0(X0,xx,xI) ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_3158,negated_conjecture,
    ! [X0: $i] :
      ( ~ aElement0(X0)
      | ~ sdteqdtlpzmzozddtrp0(X0,xy,xJ)
      | ~ sdteqdtlpzmzozddtrp0(X0,xx,xI) ),
    inference(demodulation,[status(thm)],[c_119]) ).

tcf(c_4191,plain,
    aSet0(xI),
    inference(superposition,[status(thm)],[c_108,c_101]) ).

tcf(c_4192,plain,
    aSet0(xJ),
    inference(superposition,[status(thm)],[c_109,c_101]) ).

tcf(c_4224,plain,
    ( aElement0(xw)
    | ~ aElement0(sdtasdt0(xy,xa))
    | ~ aElement0(sdtasdt0(xx,xb)) ),
    inference(superposition,[status(thm)],[c_116,c_52]) ).

tcf(c_4338,plain,
    ( aElement0(xa)
    | ~ aSet0(xI) ),
    inference(superposition,[status(thm)],[c_113,c_72]) ).

tcf(c_4339,plain,
    ( aElement0(xb)
    | ~ aSet0(xJ) ),
    inference(superposition,[status(thm)],[c_114,c_72]) ).

tcf(c_4342,plain,
    aElement0(xb),
    inference(forward_subsumption_resolution,[status(thm)],[c_4339,c_4192]) ).

tcf(c_4343,plain,
    aElement0(xa),
    inference(forward_subsumption_resolution,[status(thm)],[c_4338,c_4191]) ).

tcf(c_4378,plain,
    ( aElement0(xw)
    | ~ aElement0(xa)
    | ~ aElement0(xy)
    | ~ aElement0(sdtasdt0(xx,xb)) ),
    inference(superposition,[status(thm)],[c_53,c_4224]) ).

tcf(c_4379,plain,
    ( aElement0(xw)
    | ~ aElement0(xa)
    | ~ aElement0(sdtasdt0(xx,xb)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4378,c_112]) ).

tcf(c_4439,plain,
    ( aElement0(xw)
    | ~ aElement0(sdtasdt0(xx,xb)) ),
    inference(global_subsumption_just,[status(thm)],[c_4379,c_4343,c_4379]) ).

tcf(c_4445,plain,
    ( aElement0(xw)
    | ~ aElement0(xb)
    | ~ aElement0(xx) ),
    inference(superposition,[status(thm)],[c_53,c_4439]) ).

tcf(c_4446,plain,
    aElement0(xw),
    inference(forward_subsumption_resolution,[status(thm)],[c_4445,c_4342,c_111]) ).

tcf(c_5928,plain,
    ( sdteqdtlpzmzozddtrp0(xw,xx,xI)
    | ~ aIdeal0(xI)
    | ~ aElement0(xw)
    | ~ aElement0(xx) ),
    inference(superposition,[status(thm)],[c_117,c_106]) ).

tcf(c_5929,plain,
    ( sdteqdtlpzmzozddtrp0(xw,xy,xJ)
    | ~ aIdeal0(xJ)
    | ~ aElement0(xw)
    | ~ aElement0(xy) ),
    inference(superposition,[status(thm)],[c_118,c_106]) ).

tcf(c_5937,plain,
    sdteqdtlpzmzozddtrp0(xw,xy,xJ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5929,c_109,c_4446,c_112]) ).

tcf(c_5938,plain,
    sdteqdtlpzmzozddtrp0(xw,xx,xI),
    inference(forward_subsumption_resolution,[status(thm)],[c_5928,c_108,c_4446,c_111]) ).

tcf(c_6022,plain,
    ( ~ aElement0(xw)
    | ~ sdteqdtlpzmzozddtrp0(xw,xy,xJ) ),
    inference(superposition,[status(thm)],[c_5938,c_3158]) ).

tcf(c_6023,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_6022,c_4446,c_5937]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : RNG099+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/10.43  % Computer : n019.cluster.edu
% 0.16/10.43  % Model    : x86_64 x86_64
% 0.16/10.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/10.43  % Memory   : 8046.5625MB
% 0.16/10.43  % OS       : Linux 6.8.0-71-generic
% 0.16/10.43  % CPULimit : 300
% 0.16/10.43  % WCLimit  : 300
% 0.16/10.43  % DateTime : Thu Sep 24 08:13:30 UTC 2026
% 0.16/10.44  % CPUTime  : 
% 0.16/10.44  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/10.47  Running first-order theorem proving
% 0.16/10.47  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
% 0.16/10.48  
% 0.16/10.48  % ======== iProver multi-core TPTP/SMT =========
% 0.16/10.48  
% 0.16/10.48  % Detected problem language: tptp
% 0.16/10.50  % Proving...
% 4.16/11.34  % SZS status Started for theBenchmark.p
% 4.16/11.34  % SZS status Theorem for theBenchmark.p
% 4.16/11.34  
% 4.16/11.34  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.16/11.34  
% 4.16/11.34  % ------  iProver source info
% 4.16/11.34  
% 4.16/11.34  % git: date: 2026-07-19 20:42:38 +0200
% 4.16/11.34  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.16/11.34  % git: non_committed_changes: false
% 4.16/11.34  
% 4.16/11.34  % ------ Parsing...
% 4.16/11.34  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 4.16/11.34  
% 4.16/11.34  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 4.16/11.34  
% 4.16/11.34  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 4.16/11.34  
% 4.16/11.34  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.16/11.34  % ------ Proving...
% 4.16/11.34  % ------ Problem Properties 
% 4.16/11.34  
% 4.16/11.34  % 
% 4.16/11.34  % clauses                               70
% 4.16/11.34  % conjectures                           1
% 4.16/11.34  % EPR                                   13
% 4.16/11.34  % Horn                                  57
% 4.16/11.34  % unary                                 13
% 4.16/11.34  % binary                                14
% 4.16/11.34  % lits                                  216
% 4.16/11.34  % lits eq                               33
% 4.16/11.34  % fd_pure                               0
% 4.16/11.34  % fd_pseudo                             0
% 4.16/11.34  % fd_cond                               1
% 4.16/11.34  % fd_pseudo_cond                        8
% 4.16/11.34  % AC symbols                            0
% 4.16/11.34  
% 4.16/11.34  % ------ Schedule dynamic 5 is on 
% 4.16/11.34  
% 4.16/11.34  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.16/11.34  
% 4.16/11.34  
% 4.16/11.34  % ------ 
% 4.16/11.34  % Current options:
% 4.16/11.34  % ------ 
% 4.16/11.34  
% 4.16/11.34  
% 4.16/11.34  % 
% 4.16/11.34  
% 4.16/11.34  % ------ Proving...
% 4.16/11.34  % 
% 4.16/11.34  
% 4.16/11.34  % SZS status Theorem for theBenchmark.p
% 4.16/11.34  
% 4.16/11.34  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.16/11.34  
% 4.16/11.34  
%------------------------------------------------------------------------------