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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : KRS071+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n013.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 01:54:05 PM UTC 2026

% Result   : Unsatisfiable 1.99s 1.17s
% Output   : CNFRefutation 1.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   71 (   6 unt;   1 def)
%            Number of atoms       :  331 (  71 equ)
%            Maximal formula atoms :   26 (   4 avg)
%            Number of connectives :  420 ( 160   ~; 162   |;  88   &)
%                                         (   6 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   1 con; 0-1 aty)
%            Number of variables   :  148 (   0 sgn 115   !;  33   ?;  47   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f17,axiom,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ! [X2,X3,X4] :
            ( ( rr(X0,X4)
              & rr(X0,X3)
              & rr(X0,X2) )
           => ( X3 = X4
              | X2 = X4
              | X2 = X3 ) )
        & ? [X1] :
            ( cp3(X1)
            & rr(X0,X1) )
        & ? [X1] :
            ( cp2(X1)
            & rr(X0,X1) )
        & ? [X1] :
            ( cp1(X1)
            & rr(X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f18,axiom,
    ! [X0] :
      ( cp1(X0)
     => ~ ( cp5(X0)
          | cp3(X0)
          | cp2(X0)
          | cp4(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f19,axiom,
    ! [X0] :
      ( cp2(X0)
     => ~ ( cp5(X0)
          | cp3(X0)
          | cp4(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

fof(f23,axiom,
    cUnsatisfiable(i2003_11_14_17_18_39380),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

fof(f24,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ! [X4,X5,X6] :
            ( ( rr(X0,X6)
              & rr(X0,X5)
              & rr(X0,X4) )
           => ( X5 = X6
              | X4 = X6
              | X4 = X5 ) )
        & ? [X3] :
            ( cp3(X3)
            & rr(X0,X3) )
        & ? [X2] :
            ( cp2(X2)
            & rr(X0,X2) )
        & ? [X1] :
            ( cp1(X1)
            & rr(X0,X1) ) ) ),
    inference(rectify,[],[f17]) ).

fof(f53,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ! [X4,X5,X6] :
            ( ~ rr(X0,X6)
            | ~ rr(X0,X5)
            | ~ rr(X0,X4)
            | X5 = X6
            | X4 = X6
            | X4 = X5 )
        & ? [X3] :
            ( cp3(X3)
            & rr(X0,X3) )
        & ? [X2] :
            ( cp2(X2)
            & rr(X0,X2) )
        & ? [X1] :
            ( cp1(X1)
            & rr(X0,X1) ) ) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f54,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ! [X4,X5,X6] :
            ( ~ rr(X0,X6)
            | ~ rr(X0,X5)
            | ~ rr(X0,X4)
            | X5 = X6
            | X4 = X6
            | X4 = X5 )
        & ? [X3] :
            ( cp3(X3)
            & rr(X0,X3) )
        & ? [X2] :
            ( cp2(X2)
            & rr(X0,X2) )
        & ? [X1] :
            ( cp1(X1)
            & rr(X0,X1) ) ) ),
    inference(flattening,[],[f53]) ).

fof(f55,plain,
    ! [X0] :
      ( ~ cp1(X0)
      | ( ~ cp5(X0)
        & ~ cp3(X0)
        & ~ cp2(X0)
        & ~ cp4(X0) ) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f56,plain,
    ! [X0] :
      ( ~ cp2(X0)
      | ( ~ cp5(X0)
        & ~ cp3(X0)
        & ~ cp4(X0) ) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f66,plain,
    ! [X0] :
      ( ( ~ cUnsatisfiable(X0)
        | sP0(X0) )
      & ( ~ sP0(X0)
        | cUnsatisfiable(X0) ) ),
    inference(nnf_transformation,[],[f60]) ).

fof(f99,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | sP0(X0) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f102,plain,
    ! [X0] :
      ( ~ cp1(X0)
      | ~ cp3(X0) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f103,plain,
    ! [X0] :
      ( ~ cp1(X0)
      | ~ cp2(X0) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f106,plain,
    ! [X0] :
      ( ~ cp2(X0)
      | ~ cp3(X0) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f113,plain,
    cUnsatisfiable(i2003_11_14_17_18_39380),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_67,plain,
    ! [X0: $i] :
      ( sP0(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_69,plain,
    ! [X0: $i] :
      ( ~ cp2(X0)
      | ~ cp1(X0) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_70,plain,
    ! [X0: $i] :
      ( ~ cp3(X0)
      | ~ cp1(X0) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_73,plain,
    ! [X0: $i] :
      ( ~ cp3(X0)
      | ~ cp2(X0) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_80,plain,
    cUnsatisfiable(i2003_11_14_17_18_39380),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_111,plain,
    ! [X0: $i] :
      ( sP0(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(prop_impl_just,[status(thm)],[c_67]) ).

tcf(c_137,plain,
    ! [X0: $i] :
      ( ~ cp2(X0)
      | ~ cp1(X0) ),
    inference(prop_impl_just,[status(thm)],[c_69]) ).

tcf(c_139,plain,
    ! [X0: $i] :
      ( ~ cp3(X0)
      | ~ cp1(X0) ),
    inference(prop_impl_just,[status(thm)],[c_70]) ).

tcf(c_147,plain,
    ! [X0: $i] :
      ( ~ cp3(X0)
      | ~ cp2(X0) ),
    inference(prop_impl_just,[status(thm)],[c_73]) ).

fof(f59,definition,
    ! [X0] :
      ( sP0(X0)
    <=> ( ! [X4,X5,X6] :
            ( ~ rr(X0,X6)
            | ~ rr(X0,X5)
            | ~ rr(X0,X4)
            | X5 = X6
            | X4 = X6
            | X4 = X5 )
        & ? [X3] :
            ( cp3(X3)
            & rr(X0,X3) )
        & ? [X2] :
            ( cp2(X2)
            & rr(X0,X2) )
        & ? [X1] :
            ( cp1(X1)
            & rr(X0,X1) ) ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f60,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> sP0(X0) ),
    inference(definition_folding,[],[f54,f59]) ).

fof(f62,plain,
    ! [X0] :
      ( ( ~ sP0(X0)
        | ( ! [X4,X5,X6] :
              ( ~ rr(X0,X6)
              | ~ rr(X0,X5)
              | ~ rr(X0,X4)
              | X5 = X6
              | X4 = X6
              | X4 = X5 )
          & ? [X3] :
              ( cp3(X3)
              & rr(X0,X3) )
          & ? [X2] :
              ( cp2(X2)
              & rr(X0,X2) )
          & ? [X1] :
              ( cp1(X1)
              & rr(X0,X1) ) ) )
      & ( ? [X4,X5,X6] :
            ( rr(X0,X6)
            & rr(X0,X5)
            & rr(X0,X4)
            & X5 != X6
            & X4 != X6
            & X4 != X5 )
        | ! [X3] :
            ( ~ cp3(X3)
            | ~ rr(X0,X3) )
        | ! [X2] :
            ( ~ cp2(X2)
            | ~ rr(X0,X2) )
        | ! [X1] :
            ( ~ cp1(X1)
            | ~ rr(X0,X1) )
        | sP0(X0) ) ),
    inference(nnf_transformation,[],[f59]) ).

fof(f63,plain,
    ! [X0] :
      ( ( ~ sP0(X0)
        | ( ! [X4,X5,X6] :
              ( ~ rr(X0,X6)
              | ~ rr(X0,X5)
              | ~ rr(X0,X4)
              | X5 = X6
              | X4 = X6
              | X4 = X5 )
          & ? [X3] :
              ( cp3(X3)
              & rr(X0,X3) )
          & ? [X2] :
              ( cp2(X2)
              & rr(X0,X2) )
          & ? [X1] :
              ( cp1(X1)
              & rr(X0,X1) ) ) )
      & ( ? [X4,X5,X6] :
            ( rr(X0,X6)
            & rr(X0,X5)
            & rr(X0,X4)
            & X5 != X6
            & X4 != X6
            & X4 != X5 )
        | ! [X3] :
            ( ~ cp3(X3)
            | ~ rr(X0,X3) )
        | ! [X2] :
            ( ~ cp2(X2)
            | ~ rr(X0,X2) )
        | ! [X1] :
            ( ~ cp1(X1)
            | ~ rr(X0,X1) )
        | sP0(X0) ) ),
    inference(flattening,[],[f62]) ).

fof(f64,plain,
    ! [X0] :
      ( ( ~ sP0(X0)
        | ( ! [X10,X11,X12] :
              ( ~ rr(X0,X12)
              | ~ rr(X0,X11)
              | ~ rr(X0,X10)
              | X11 = X12
              | X10 = X12
              | X10 = X11 )
          & ? [X9] :
              ( cp3(X9)
              & rr(X0,X9) )
          & ? [X8] :
              ( cp2(X8)
              & rr(X0,X8) )
          & ? [X7] :
              ( cp1(X7)
              & rr(X0,X7) ) ) )
      & ( ? [X4,X5,X6] :
            ( rr(X0,X6)
            & rr(X0,X5)
            & rr(X0,X4)
            & X5 != X6
            & X4 != X6
            & X4 != X5 )
        | ! [X3] :
            ( ~ cp3(X3)
            | ~ rr(X0,X3) )
        | ! [X2] :
            ( ~ cp2(X2)
            | ~ rr(X0,X2) )
        | ! [X1] :
            ( ~ cp1(X1)
            | ~ rr(X0,X1) )
        | sP0(X0) ) ),
    inference(rectify,[],[f63]) ).

fof(f65,plain,
    ! [X0] :
      ( ( ~ sP0(X0)
        | ( ! [X10,X11,X12] :
              ( ~ rr(X0,X12)
              | ~ rr(X0,X11)
              | ~ rr(X0,X10)
              | X11 = X12
              | X10 = X12
              | X10 = X11 )
          & cp3(sK6(X0))
          & rr(X0,sK6(X0))
          & cp2(sK5(X0))
          & rr(X0,sK5(X0))
          & cp1(sK4(X0))
          & rr(X0,sK4(X0)) ) )
      & ( ( rr(X0,sK3(X0))
          & rr(X0,sK2(X0))
          & rr(X0,sK1(X0))
          & sK2(X0) != sK3(X0)
          & sK1(X0) != sK3(X0)
          & sK1(X0) != sK2(X0) )
        | ! [X3] :
            ( ~ cp3(X3)
            | ~ rr(X0,X3) )
        | ! [X2] :
            ( ~ cp2(X2)
            | ~ rr(X0,X2) )
        | ! [X1] :
            ( ~ cp1(X1)
            | ~ rr(X0,X1) )
        | sP0(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X4,sK1(X0)),skolemize(X5,sK2(X0)),skolemize(X6,sK3(X0)),skolemize(X7,sK4(X0)),skolemize(X8,sK5(X0)),skolemize(X9,sK6(X0))],[f64]) ).

fof(f86,plain,
    ! [X10,X0,X11,X12] :
      ( ~ sP0(X0)
      | ~ rr(X0,X12)
      | ~ rr(X0,X11)
      | ~ rr(X0,X10)
      | X11 = X12
      | X10 = X12
      | X10 = X11 ),
    inference(cnf_transformation,[],[f65]) ).

fof(f87,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | cp3(sK6(X0)) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f88,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | rr(X0,sK6(X0)) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f89,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | cp2(sK5(X0)) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f90,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | rr(X0,sK5(X0)) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f91,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | cp1(sK4(X0)) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f92,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | rr(X0,sK4(X0)) ),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_59,plain,
    ! [X0: $i] :
      ( rr(X0,sK4(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_60,plain,
    ! [X0: $i] :
      ( cp1(sK4(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_61,plain,
    ! [X0: $i] :
      ( rr(X0,sK5(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_62,plain,
    ! [X0: $i] :
      ( cp2(sK5(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_63,plain,
    ! [X0: $i] :
      ( rr(X0,sK6(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_64,plain,
    ! [X0: $i] :
      ( cp3(sK6(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_65,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X2 = X3 )
      | ( X1 = X3 )
      | ( X1 = X2 )
      | ~ sP0(X0)
      | ~ rr(X0,X3)
      | ~ rr(X0,X2)
      | ~ rr(X0,X1) ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_115,plain,
    ! [X0: $i] :
      ( rr(X0,sK4(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(prop_impl_just,[status(thm)],[c_67,c_59]) ).

tcf(c_117,plain,
    ! [X0: $i] :
      ( cp1(sK4(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(prop_impl_just,[status(thm)],[c_67,c_60]) ).

tcf(c_119,plain,
    ! [X0: $i] :
      ( rr(X0,sK5(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(prop_impl_just,[status(thm)],[c_67,c_61]) ).

tcf(c_121,plain,
    ! [X0: $i] :
      ( cp2(sK5(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(prop_impl_just,[status(thm)],[c_67,c_62]) ).

tcf(c_123,plain,
    ! [X0: $i] :
      ( rr(X0,sK6(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(prop_impl_just,[status(thm)],[c_67,c_63]) ).

tcf(c_125,plain,
    ! [X0: $i] :
      ( cp3(sK6(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(prop_impl_just,[status(thm)],[c_67,c_64]) ).

tcf(c_235,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X2 = X3 )
      | ( X1 = X3 )
      | ( X1 = X2 )
      | ~ cUnsatisfiable(X0)
      | ~ rr(X0,X3)
      | ~ rr(X0,X2)
      | ~ rr(X0,X1) ),
    inference(bin_hyper_res,[status(thm)],[c_65,c_111]) ).

tcf(c_811,plain,
    ! [X0: $i,X1: $i] :
      ( ~ cUnsatisfiable(X0)
      | ~ cp3(X1)
      | ( sK4(X0) != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_117,c_139]) ).

tcf(c_812,plain,
    ! [X0: $i] :
      ( ~ cUnsatisfiable(X0)
      | ~ cp3(sK4(X0)) ),
    inference(unflattening,[status(thm)],[c_811]) ).

tcf(c_820,plain,
    ! [X0: $i,X1: $i] :
      ( ~ cUnsatisfiable(X0)
      | ~ cp2(X1)
      | ( sK4(X0) != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_117,c_137]) ).

tcf(c_821,plain,
    ! [X0: $i] :
      ( ~ cUnsatisfiable(X0)
      | ~ cp2(sK4(X0)) ),
    inference(unflattening,[status(thm)],[c_820]) ).

tcf(c_1037,plain,
    ! [X0: $i,X1: $i] :
      ( ~ cUnsatisfiable(X0)
      | ~ cp3(X1)
      | ( sK5(X0) != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_121,c_147]) ).

tcf(c_1038,plain,
    ! [X0: $i] :
      ( ~ cUnsatisfiable(X0)
      | ~ cp3(sK5(X0)) ),
    inference(unflattening,[status(thm)],[c_1037]) ).

tcf(c_1039,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_18_39380)
    | ~ cp3(sK5(i2003_11_14_17_18_39380)) ),
    inference(instantiation,[status(thm)],[c_1038]) ).

tcf(c_1046,plain,
    ! [X0: $i,X1: $i] :
      ( ~ cUnsatisfiable(X1)
      | ~ cUnsatisfiable(X0)
      | ( sK4(X0) != sK5(X1) ) ),
    inference(resolution_lifted,[status(thm)],[c_121,c_821]) ).

tcf(c_1047,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_18_39380)
    | ( sK4(i2003_11_14_17_18_39380) != sK5(i2003_11_14_17_18_39380) ) ),
    inference(instantiation,[status(thm)],[c_1046]) ).

tcf(c_1275,plain,
    ! [X0: $i,X1: $i] :
      ( ~ cUnsatisfiable(X1)
      | ~ cUnsatisfiable(X0)
      | ( sK4(X0) != sK6(X1) ) ),
    inference(resolution_lifted,[status(thm)],[c_125,c_812]) ).

tcf(c_1276,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_18_39380)
    | ( sK4(i2003_11_14_17_18_39380) != sK6(i2003_11_14_17_18_39380) ) ),
    inference(instantiation,[status(thm)],[c_1275]) ).

tcf(c_2490,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X2 )
      | ( sK4(X0) = X2 )
      | ( sK4(X0) = X1 )
      | ~ cUnsatisfiable(X0)
      | ~ rr(X0,X2)
      | ~ rr(X0,X1) ),
    inference(superposition,[status(thm)],[c_115,c_235]) ).

tcf(c_2532,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK5(X0) = X1 )
      | ( sK4(X0) = X1 )
      | ( sK4(X0) = sK5(X0) )
      | ~ cUnsatisfiable(X0)
      | ~ rr(X0,X1) ),
    inference(superposition,[status(thm)],[c_119,c_2490]) ).

tcf(c_2558,plain,
    ! [X0: $i] :
      ( ( sK5(X0) = sK6(X0) )
      | ( sK4(X0) = sK6(X0) )
      | ( sK4(X0) = sK5(X0) )
      | ~ cUnsatisfiable(X0) ),
    inference(superposition,[status(thm)],[c_123,c_2532]) ).

tcf(c_2563,plain,
    ( ( sK5(i2003_11_14_17_18_39380) = sK6(i2003_11_14_17_18_39380) )
    | ( sK4(i2003_11_14_17_18_39380) = sK6(i2003_11_14_17_18_39380) )
    | ( sK4(i2003_11_14_17_18_39380) = sK5(i2003_11_14_17_18_39380) )
    | ~ cUnsatisfiable(i2003_11_14_17_18_39380) ),
    inference(instantiation,[status(thm)],[c_2558]) ).

tcf(c_2572,plain,
    ( ( sK5(i2003_11_14_17_18_39380) = sK6(i2003_11_14_17_18_39380) )
    | ( sK4(i2003_11_14_17_18_39380) = sK6(i2003_11_14_17_18_39380) )
    | ( sK4(i2003_11_14_17_18_39380) = sK5(i2003_11_14_17_18_39380) ) ),
    inference(superposition,[status(thm)],[c_80,c_2558]) ).

tcf(c_2576,plain,
    sK5(i2003_11_14_17_18_39380) = sK6(i2003_11_14_17_18_39380),
    inference(global_subsumption_just,[status(thm)],[c_2572,c_80,c_1047,c_1276,c_2563]) ).

tcf(c_2579,plain,
    ( cp3(sK5(i2003_11_14_17_18_39380))
    | ~ cUnsatisfiable(i2003_11_14_17_18_39380) ),
    inference(superposition,[status(thm)],[c_2576,c_125]) ).

tcf(c_2580,plain,
    cp3(sK5(i2003_11_14_17_18_39380)),
    inference(forward_subsumption_resolution,[status(thm)],[c_2579,c_80]) ).

tcf(c_2582,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_2580,c_1039,c_80]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS071+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n013.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Wed Sep 23 19:18:21 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.40  Running first-order theorem proving
% 0.14/0.40  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
% 0.14/0.41  
% 0.14/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41  
% 0.14/0.42  % Detected problem language: tptp
% 0.14/0.43  % Proving...
% 1.99/1.17  % SZS status Started for theBenchmark.p
% 1.99/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 1.99/1.17  
% 1.99/1.17  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.99/1.17  
% 1.99/1.17  % ------  iProver source info
% 1.99/1.17  
% 1.99/1.17  % git: date: 2026-07-19 20:42:38 +0200
% 1.99/1.17  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.99/1.17  % git: non_committed_changes: false
% 1.99/1.17  
% 1.99/1.17  % ------ Parsing...
% 1.99/1.17  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 1.99/1.17  
% 1.99/1.17  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 12 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e % 
% 1.99/1.17  
% 1.99/1.17  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 1.99/1.17  
% 1.99/1.17  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.99/1.17  % ------ Proving...
% 1.99/1.17  % ------ Problem Properties 
% 1.99/1.17  
% 1.99/1.17  % 
% 1.99/1.17  % clauses                               16
% 1.99/1.17  % conjectures                           0
% 1.99/1.17  % EPR                                   3
% 1.99/1.17  % Horn                                  12
% 1.99/1.17  % unary                                 1
% 1.99/1.17  % binary                                8
% 1.99/1.17  % lits                                  72
% 1.99/1.17  % lits eq                               6
% 1.99/1.17  % fd_pure                               0
% 1.99/1.17  % fd_pseudo                             0
% 1.99/1.17  % fd_cond                               0
% 1.99/1.17  % fd_pseudo_cond                        1
% 1.99/1.17  % AC symbols                            0
% 1.99/1.17  
% 1.99/1.17  % ------ Schedule dynamic 5 is on 
% 1.99/1.17  
% 1.99/1.17  % ------ no conjectures: strip conj schedule 
% 1.99/1.17  
% 1.99/1.17  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.99/1.17  
% 1.99/1.17  
% 1.99/1.17  % ------ 
% 1.99/1.17  % Current options:
% 1.99/1.17  % ------ 
% 1.99/1.17  
% 1.99/1.17  
% 1.99/1.17  % 
% 1.99/1.17  
% 1.99/1.17  % ------ Proving...
% 1.99/1.17  % 
% 1.99/1.17  
% 1.99/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 1.99/1.17  
% 1.99/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.99/1.17  
% 1.99/1.17  
%------------------------------------------------------------------------------