TSTP Solution File: NUN065+2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : NUN065+2 : TPTP v8.2.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n007.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 Jun 24 13:30:48 EDT 2024

% Result   : Theorem 3.95s 1.17s
% Output   : CNFRefutation 3.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   95 (  23 unt;   0 def)
%            Number of atoms       :  262 ( 103 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  253 (  86   ~;  84   |;  73   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   1 con; 0-2 aty)
%            Number of variables   :  202 (   9 sgn 104   !;  39   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ? [X0] :
    ! [X1] :
      ( ( X0 = X1
        & r1(X1) )
      | ( X0 != X1
        & ~ r1(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

fof(f2,axiom,
    ! [X2] :
    ? [X3] :
    ! [X4] :
      ( ( X3 = X4
        & r2(X2,X4) )
      | ( X3 != X4
        & ~ r2(X2,X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f3,axiom,
    ! [X5,X6] :
    ? [X7] :
    ! [X8] :
      ( ( X7 = X8
        & r3(X5,X6,X8) )
      | ( X7 != X8
        & ~ r3(X5,X6,X8) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f5,axiom,
    ! [X13,X14] :
    ? [X15] :
      ( ? [X18] :
          ( r3(X13,X14,X18)
          & r2(X18,X15) )
      & ? [X16] :
          ( X15 = X16
          & ? [X17] :
              ( r3(X13,X17,X16)
              & r2(X14,X17) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1a) ).

fof(f7,axiom,
    ! [X25,X26] :
      ( X25 = X26
      | ! [X27] :
          ( ~ r2(X26,X27)
          | ! [X28] :
              ( X27 != X28
              | ~ r2(X25,X28) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3a) ).

fof(f11,axiom,
    ! [X40,X41] :
      ( ~ r2(X40,X41)
      | ! [X42] :
          ( X41 != X42
          | ~ r1(X42) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7a) ).

fof(f12,conjecture,
    ? [X38] :
      ( ! [X15] :
          ( X15 != X38
          | ~ r1(X15) )
      & ! [X21] :
          ( X21 != X38
          | ! [X22] :
              ( ~ r2(X22,X21)
              | ~ r1(X22) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nononesexist) ).

fof(f13,negated_conjecture,
    ~ ? [X38] :
        ( ! [X15] :
            ( X15 != X38
            | ~ r1(X15) )
        & ! [X21] :
            ( X21 != X38
            | ! [X22] :
                ( ~ r2(X22,X21)
                | ~ r1(X22) ) ) ),
    inference(negated_conjecture,[],[f12]) ).

fof(f14,plain,
    ! [X0] :
    ? [X1] :
    ! [X2] :
      ( ( X1 = X2
        & r2(X0,X2) )
      | ( X1 != X2
        & ~ r2(X0,X2) ) ),
    inference(rectify,[],[f2]) ).

fof(f15,plain,
    ! [X0,X1] :
    ? [X2] :
    ! [X3] :
      ( ( X2 = X3
        & r3(X0,X1,X3) )
      | ( X2 != X3
        & ~ r3(X0,X1,X3) ) ),
    inference(rectify,[],[f3]) ).

fof(f17,plain,
    ! [X0,X1] :
    ? [X2] :
      ( ? [X3] :
          ( r3(X0,X1,X3)
          & r2(X3,X2) )
      & ? [X4] :
          ( X2 = X4
          & ? [X5] :
              ( r3(X0,X5,X4)
              & r2(X1,X5) ) ) ),
    inference(rectify,[],[f5]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ! [X2] :
          ( ~ r2(X1,X2)
          | ! [X3] :
              ( X2 != X3
              | ~ r2(X0,X3) ) ) ),
    inference(rectify,[],[f7]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ~ r2(X0,X1)
      | ! [X2] :
          ( X1 != X2
          | ~ r1(X2) ) ),
    inference(rectify,[],[f11]) ).

fof(f24,plain,
    ~ ? [X0] :
        ( ! [X1] :
            ( X0 != X1
            | ~ r1(X1) )
        & ! [X2] :
            ( X0 != X2
            | ! [X3] :
                ( ~ r2(X3,X2)
                | ~ r1(X3) ) ) ),
    inference(rectify,[],[f13]) ).

fof(f25,plain,
    ! [X0] :
      ( ? [X1] :
          ( X0 = X1
          & r1(X1) )
      | ? [X2] :
          ( X0 = X2
          & ? [X3] :
              ( r2(X3,X2)
              & r1(X3) ) ) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f26,plain,
    ( ? [X0] :
      ! [X1] :
        ( ( X0 = X1
          & r1(X1) )
        | ( X0 != X1
          & ~ r1(X1) ) )
   => ! [X1] :
        ( ( sK0 = X1
          & r1(X1) )
        | ( sK0 != X1
          & ~ r1(X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f27,plain,
    ! [X1] :
      ( ( sK0 = X1
        & r1(X1) )
      | ( sK0 != X1
        & ~ r1(X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f1,f26]) ).

fof(f28,plain,
    ! [X0] :
      ( ? [X1] :
        ! [X2] :
          ( ( X1 = X2
            & r2(X0,X2) )
          | ( X1 != X2
            & ~ r2(X0,X2) ) )
     => ! [X2] :
          ( ( sK1(X0) = X2
            & r2(X0,X2) )
          | ( sK1(X0) != X2
            & ~ r2(X0,X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f29,plain,
    ! [X0,X2] :
      ( ( sK1(X0) = X2
        & r2(X0,X2) )
      | ( sK1(X0) != X2
        & ~ r2(X0,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f14,f28]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ? [X2] :
        ! [X3] :
          ( ( X2 = X3
            & r3(X0,X1,X3) )
          | ( X2 != X3
            & ~ r3(X0,X1,X3) ) )
     => ! [X3] :
          ( ( sK2(X0,X1) = X3
            & r3(X0,X1,X3) )
          | ( sK2(X0,X1) != X3
            & ~ r3(X0,X1,X3) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f31,plain,
    ! [X0,X1,X3] :
      ( ( sK2(X0,X1) = X3
        & r3(X0,X1,X3) )
      | ( sK2(X0,X1) != X3
        & ~ r3(X0,X1,X3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f15,f30]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ? [X3] :
              ( r3(X0,X1,X3)
              & r2(X3,X2) )
          & ? [X4] :
              ( X2 = X4
              & ? [X5] :
                  ( r3(X0,X5,X4)
                  & r2(X1,X5) ) ) )
     => ( ? [X3] :
            ( r3(X0,X1,X3)
            & r2(X3,sK4(X0,X1)) )
        & ? [X4] :
            ( sK4(X0,X1) = X4
            & ? [X5] :
                ( r3(X0,X5,X4)
                & r2(X1,X5) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( r3(X0,X1,X3)
          & r2(X3,sK4(X0,X1)) )
     => ( r3(X0,X1,sK5(X0,X1))
        & r2(sK5(X0,X1),sK4(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( sK4(X0,X1) = X4
          & ? [X5] :
              ( r3(X0,X5,X4)
              & r2(X1,X5) ) )
     => ( sK4(X0,X1) = sK6(X0,X1)
        & ? [X5] :
            ( r3(X0,X5,sK6(X0,X1))
            & r2(X1,X5) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( r3(X0,X5,sK6(X0,X1))
          & r2(X1,X5) )
     => ( r3(X0,sK7(X0,X1),sK6(X0,X1))
        & r2(X1,sK7(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( r3(X0,X1,sK5(X0,X1))
      & r2(sK5(X0,X1),sK4(X0,X1))
      & sK4(X0,X1) = sK6(X0,X1)
      & r3(X0,sK7(X0,X1),sK6(X0,X1))
      & r2(X1,sK7(X0,X1)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f17,f37,f36,f35,f34]) ).

fof(f54,plain,
    ! [X0] :
      ( ? [X1] :
          ( X0 = X1
          & r1(X1) )
     => ( sK20(X0) = X0
        & r1(sK20(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f55,plain,
    ! [X0] :
      ( ? [X2] :
          ( X0 = X2
          & ? [X3] :
              ( r2(X3,X2)
              & r1(X3) ) )
     => ( sK21(X0) = X0
        & ? [X3] :
            ( r2(X3,sK21(X0))
            & r1(X3) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f56,plain,
    ! [X0] :
      ( ? [X3] :
          ( r2(X3,sK21(X0))
          & r1(X3) )
     => ( r2(sK22(X0),sK21(X0))
        & r1(sK22(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f57,plain,
    ! [X0] :
      ( ( sK20(X0) = X0
        & r1(sK20(X0)) )
      | ( sK21(X0) = X0
        & r2(sK22(X0),sK21(X0))
        & r1(sK22(X0)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22])],[f25,f56,f55,f54]) ).

fof(f59,plain,
    ! [X1] :
      ( r1(X1)
      | sK0 != X1 ),
    inference(cnf_transformation,[],[f27]) ).

fof(f60,plain,
    ! [X1] :
      ( sK0 = X1
      | ~ r1(X1) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f63,plain,
    ! [X2,X0] :
      ( r2(X0,X2)
      | sK1(X0) != X2 ),
    inference(cnf_transformation,[],[f29]) ).

fof(f64,plain,
    ! [X2,X0] :
      ( sK1(X0) = X2
      | ~ r2(X0,X2) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f68,plain,
    ! [X3,X0,X1] :
      ( sK2(X0,X1) = X3
      | ~ r3(X0,X1,X3) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f76,plain,
    ! [X0,X1] : sK4(X0,X1) = sK6(X0,X1),
    inference(cnf_transformation,[],[f38]) ).

fof(f77,plain,
    ! [X0,X1] : r2(sK5(X0,X1),sK4(X0,X1)),
    inference(cnf_transformation,[],[f38]) ).

fof(f78,plain,
    ! [X0,X1] : r3(X0,X1,sK5(X0,X1)),
    inference(cnf_transformation,[],[f38]) ).

fof(f84,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X1
      | ~ r2(X1,X2)
      | X2 != X3
      | ~ r2(X0,X3) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f96,plain,
    ! [X2,X0,X1] :
      ( ~ r2(X0,X1)
      | X1 != X2
      | ~ r1(X2) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f97,plain,
    ! [X0] :
      ( r1(sK20(X0))
      | r1(sK22(X0)) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f98,plain,
    ! [X0] :
      ( r1(sK20(X0))
      | r2(sK22(X0),sK21(X0)) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f99,plain,
    ! [X0] :
      ( r1(sK20(X0))
      | sK21(X0) = X0 ),
    inference(cnf_transformation,[],[f57]) ).

fof(f100,plain,
    ! [X0] :
      ( sK20(X0) = X0
      | r1(sK22(X0)) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f101,plain,
    ! [X0] :
      ( sK20(X0) = X0
      | r2(sK22(X0),sK21(X0)) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f102,plain,
    ! [X0] :
      ( sK20(X0) = X0
      | sK21(X0) = X0 ),
    inference(cnf_transformation,[],[f57]) ).

fof(f103,plain,
    ! [X0,X1] : r2(sK5(X0,X1),sK6(X0,X1)),
    inference(definition_unfolding,[],[f77,f76]) ).

fof(f107,plain,
    r1(sK0),
    inference(equality_resolution,[],[f59]) ).

fof(f109,plain,
    ! [X0] : r2(X0,sK1(X0)),
    inference(equality_resolution,[],[f63]) ).

fof(f114,plain,
    ! [X3,X0,X1] :
      ( X0 = X1
      | ~ r2(X1,X3)
      | ~ r2(X0,X3) ),
    inference(equality_resolution,[],[f84]) ).

fof(f115,plain,
    ! [X2,X0] :
      ( ~ r2(X0,X2)
      | ~ r1(X2) ),
    inference(equality_resolution,[],[f96]) ).

cnf(c_49,plain,
    ( ~ r1(X0)
    | X0 = sK0 ),
    inference(cnf_transformation,[],[f60]) ).

cnf(c_50,plain,
    r1(sK0),
    inference(cnf_transformation,[],[f107]) ).

cnf(c_51,plain,
    ( ~ r2(X0,X1)
    | sK1(X0) = X1 ),
    inference(cnf_transformation,[],[f64]) ).

cnf(c_52,plain,
    r2(X0,sK1(X0)),
    inference(cnf_transformation,[],[f109]) ).

cnf(c_53,plain,
    ( ~ r3(X0,X1,X2)
    | sK2(X0,X1) = X2 ),
    inference(cnf_transformation,[],[f68]) ).

cnf(c_57,plain,
    r3(X0,X1,sK5(X0,X1)),
    inference(cnf_transformation,[],[f78]) ).

cnf(c_58,plain,
    r2(sK5(X0,X1),sK6(X0,X1)),
    inference(cnf_transformation,[],[f103]) ).

cnf(c_65,plain,
    ( ~ r2(X0,X1)
    | ~ r2(X2,X1)
    | X0 = X2 ),
    inference(cnf_transformation,[],[f114]) ).

cnf(c_76,plain,
    ( ~ r2(X0,X1)
    | ~ r1(X1) ),
    inference(cnf_transformation,[],[f115]) ).

cnf(c_77,negated_conjecture,
    ( sK20(X0) = X0
    | sK21(X0) = X0 ),
    inference(cnf_transformation,[],[f102]) ).

cnf(c_78,negated_conjecture,
    ( sK20(X0) = X0
    | r2(sK22(X0),sK21(X0)) ),
    inference(cnf_transformation,[],[f101]) ).

cnf(c_79,negated_conjecture,
    ( sK20(X0) = X0
    | r1(sK22(X0)) ),
    inference(cnf_transformation,[],[f100]) ).

cnf(c_80,negated_conjecture,
    ( sK21(X0) = X0
    | r1(sK20(X0)) ),
    inference(cnf_transformation,[],[f99]) ).

cnf(c_81,negated_conjecture,
    ( r2(sK22(X0),sK21(X0))
    | r1(sK20(X0)) ),
    inference(cnf_transformation,[],[f98]) ).

cnf(c_82,negated_conjecture,
    ( r1(sK20(X0))
    | r1(sK22(X0)) ),
    inference(cnf_transformation,[],[f97]) ).

cnf(c_316,plain,
    ( sK5(X1,X3) != X4
    | X0 != X1
    | X2 != X3
    | sK2(X0,X2) = X4 ),
    inference(resolution_lifted,[status(thm)],[c_53,c_57]) ).

cnf(c_317,plain,
    sK2(X0,X1) = sK5(X0,X1),
    inference(unflattening,[status(thm)],[c_316]) ).

cnf(c_444,plain,
    r2(sK2(X0,X1),sK6(X0,X1)),
    inference(demodulation,[status(thm)],[c_58,c_317]) ).

cnf(c_501,negated_conjecture,
    ( r1(sK20(X0))
    | r1(sK22(X0)) ),
    inference(demodulation,[status(thm)],[c_82]) ).

cnf(c_502,negated_conjecture,
    ( r2(sK22(X0),sK21(X0))
    | r1(sK20(X0)) ),
    inference(demodulation,[status(thm)],[c_81]) ).

cnf(c_503,negated_conjecture,
    ( sK21(X0) = X0
    | r1(sK20(X0)) ),
    inference(demodulation,[status(thm)],[c_80]) ).

cnf(c_504,negated_conjecture,
    ( sK20(X0) = X0
    | r1(sK22(X0)) ),
    inference(demodulation,[status(thm)],[c_79]) ).

cnf(c_505,negated_conjecture,
    ( sK20(X0) = X0
    | r2(sK22(X0),sK21(X0)) ),
    inference(demodulation,[status(thm)],[c_78]) ).

cnf(c_506,negated_conjecture,
    ( sK20(X0) = X0
    | sK21(X0) = X0 ),
    inference(demodulation,[status(thm)],[c_77]) ).

cnf(c_786,plain,
    ( sK20(X0) = X0
    | r2(sK22(X0),X0) ),
    inference(superposition,[status(thm)],[c_506,c_505]) ).

cnf(c_804,plain,
    ( sK22(X0) = sK0
    | r1(sK20(X0)) ),
    inference(superposition,[status(thm)],[c_501,c_49]) ).

cnf(c_902,plain,
    ~ r1(sK1(X0)),
    inference(superposition,[status(thm)],[c_52,c_76]) ).

cnf(c_1124,plain,
    ( ~ r2(X0,sK1(X1))
    | X0 = X1 ),
    inference(superposition,[status(thm)],[c_52,c_65]) ).

cnf(c_1186,plain,
    sK1(sK2(X0,X1)) = sK6(X0,X1),
    inference(superposition,[status(thm)],[c_444,c_51]) ).

cnf(c_1187,plain,
    ~ r1(sK6(X0,X1)),
    inference(superposition,[status(thm)],[c_444,c_76]) ).

cnf(c_2226,plain,
    ( sK20(sK1(X0)) = sK1(X0)
    | sK22(sK1(X0)) = X0 ),
    inference(superposition,[status(thm)],[c_786,c_1124]) ).

cnf(c_3171,plain,
    ( sK20(sK1(X0)) = sK1(X0)
    | r1(X0) ),
    inference(superposition,[status(thm)],[c_2226,c_504]) ).

cnf(c_3428,plain,
    sK20(sK1(sK1(X0))) = sK1(sK1(X0)),
    inference(superposition,[status(thm)],[c_3171,c_902]) ).

cnf(c_3535,plain,
    ( sK22(sK1(sK1(X0))) = sK0
    | r1(sK1(sK1(X0))) ),
    inference(superposition,[status(thm)],[c_3428,c_804]) ).

cnf(c_3536,plain,
    ( sK21(sK1(sK1(X0))) = sK1(sK1(X0))
    | r1(sK1(sK1(X0))) ),
    inference(superposition,[status(thm)],[c_3428,c_503]) ).

cnf(c_3537,plain,
    sK22(sK1(sK1(X0))) = sK0,
    inference(forward_subsumption_resolution,[status(thm)],[c_3535,c_902]) ).

cnf(c_3539,plain,
    sK21(sK1(sK1(X0))) = sK1(sK1(X0)),
    inference(forward_subsumption_resolution,[status(thm)],[c_3536,c_902]) ).

cnf(c_3593,plain,
    ( r2(sK0,sK21(sK1(sK1(X0))))
    | r1(sK20(sK1(sK1(X0)))) ),
    inference(superposition,[status(thm)],[c_3537,c_502]) ).

cnf(c_3597,plain,
    ( r2(sK0,sK1(sK1(X0)))
    | r1(sK1(sK1(X0))) ),
    inference(light_normalisation,[status(thm)],[c_3593,c_3428,c_3539]) ).

cnf(c_3598,plain,
    r2(sK0,sK1(sK1(X0))),
    inference(forward_subsumption_resolution,[status(thm)],[c_3597,c_902]) ).

cnf(c_4558,plain,
    sK1(X0) = sK0,
    inference(superposition,[status(thm)],[c_3598,c_1124]) ).

cnf(c_4606,plain,
    sK6(X0,X1) = sK0,
    inference(demodulation,[status(thm)],[c_1186,c_4558]) ).

cnf(c_4634,plain,
    ~ r1(sK0),
    inference(demodulation,[status(thm)],[c_1187,c_4606]) ).

cnf(c_4636,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_4634,c_50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUN065+2 : TPTP v8.2.0. Released v7.3.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.32  % Computer : n007.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Tue Jun 18 21:18:39 EDT 2024
% 0.12/0.32  % CPUTime  : 
% 0.18/0.45  Running first-order theorem proving
% 0.18/0.45  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.95/1.17  % SZS status Started for theBenchmark.p
% 3.95/1.17  % SZS status Theorem for theBenchmark.p
% 3.95/1.17  
% 3.95/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.95/1.17  
% 3.95/1.17  ------  iProver source info
% 3.95/1.17  
% 3.95/1.17  git: date: 2024-06-12 09:56:46 +0000
% 3.95/1.17  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 3.95/1.17  git: non_committed_changes: false
% 3.95/1.17  
% 3.95/1.17  ------ Parsing...
% 3.95/1.17  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.95/1.17  
% 3.95/1.17  ------ Preprocessing... sup_sim: 1  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 2  sf_s  rm: 3 0s  sf_e  pe_s  pe_e 
% 3.95/1.17  
% 3.95/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.95/1.17  
% 3.95/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.95/1.17  ------ Proving...
% 3.95/1.17  ------ Problem Properties 
% 3.95/1.17  
% 3.95/1.17  
% 3.95/1.17  clauses                                 30
% 3.95/1.17  conjectures                             6
% 3.95/1.17  EPR                                     4
% 3.95/1.17  Horn                                    20
% 3.95/1.17  unary                                   16
% 3.95/1.17  binary                                  13
% 3.95/1.17  lits                                    45
% 3.95/1.17  lits eq                                 20
% 3.95/1.17  fd_pure                                 0
% 3.95/1.17  fd_pseudo                               0
% 3.95/1.17  fd_cond                                 1
% 3.95/1.17  fd_pseudo_cond                          2
% 3.95/1.17  AC symbols                              0
% 3.95/1.17  
% 3.95/1.17  ------ Schedule dynamic 5 is on 
% 3.95/1.17  
% 3.95/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.95/1.17  
% 3.95/1.17  
% 3.95/1.17  ------ 
% 3.95/1.17  Current options:
% 3.95/1.17  ------ 
% 3.95/1.17  
% 3.95/1.17  
% 3.95/1.17  
% 3.95/1.17  
% 3.95/1.17  ------ Proving...
% 3.95/1.17  
% 3.95/1.17  
% 3.95/1.17  % SZS status Theorem for theBenchmark.p
% 3.95/1.17  
% 3.95/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.95/1.17  
% 3.95/1.17  
%------------------------------------------------------------------------------