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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : KRS109+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 : n009.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 01:54:10 PM UTC 2026

% Result   : Unsatisfiable 2.05s 1.27s
% Output   : CNFRefutation 2.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   89 (   8 unt;   0 def)
%            Number of atoms       :  291 (  16 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  351 ( 149   ~; 137   |;  49   &)
%                                         (  10 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 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  :   12 (  10 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   1 con; 0-1 aty)
%            Number of variables   :  170 (   0 sgn 151   !;  19   ?;  57   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f26,axiom,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ? [X1] :
            ( ca_Ax2(X1)
            & rf(X0,X1) )
        & cpxcomp(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f27,axiom,
    ! [X0] :
      ( cp(X0)
    <=> ~ ? [X1] : ra_Px1(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f28,axiom,
    ! [X0] :
      ( cpxcomp(X0)
    <=> ? [X1] : ra_Px1(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

fof(f29,axiom,
    ! [X0] :
      ( ca_Ax2(X0)
    <=> ( ! [X1] :
            ( rinvF(X0,X1)
           => ca_Vx3(X1) )
        & ! [X1] :
            ( rinvS(X0,X1)
           => cp(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(f30,axiom,
    ! [X0] :
      ( ca_Vx3(X0)
    <=> ? [X1] :
          ( cp(X1)
          & rs(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

fof(f31,axiom,
    ! [X0,X1,X2] :
      ( ( rf(X0,X2)
        & rf(X0,X1) )
     => X1 = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

fof(f33,axiom,
    ! [X0,X1] :
      ( rinvF(X0,X1)
    <=> rf(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).

fof(f35,axiom,
    ! [X0,X1] :
      ( rinvS(X0,X1)
    <=> rs(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).

fof(f37,axiom,
    cUnsatisfiable(i2003_11_14_17_21_08508),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).

fof(f38,axiom,
    ! [X0,X1] :
      ( rs(X0,X1)
     => rf(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).

fof(f40,plain,
    ! [X0] :
      ( ca_Ax2(X0)
    <=> ( ! [X2] :
            ( rinvF(X0,X2)
           => ca_Vx3(X2) )
        & ! [X1] :
            ( rinvS(X0,X1)
           => cp(X1) ) ) ),
    inference(rectify,[],[f29]) ).

fof(f87,plain,
    ! [X0] :
      ( cp(X0)
    <=> ! [X1] : ~ ra_Px1(X0,X1) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f88,plain,
    ! [X0] :
      ( ca_Ax2(X0)
    <=> ( ! [X2] :
            ( ~ rinvF(X0,X2)
            | ca_Vx3(X2) )
        & ! [X1] :
            ( ~ rinvS(X0,X1)
            | cp(X1) ) ) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f89,plain,
    ! [X0,X1,X2] :
      ( ~ rf(X0,X2)
      | ~ rf(X0,X1)
      | X1 = X2 ),
    inference(ennf_transformation,[],[f31]) ).

fof(f90,plain,
    ! [X0,X1,X2] :
      ( ~ rf(X0,X2)
      | ~ rf(X0,X1)
      | X1 = X2 ),
    inference(flattening,[],[f89]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ~ rs(X0,X1)
      | rf(X0,X1) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f98,plain,
    ! [X0] :
      ( ( ~ cUnsatisfiable(X0)
        | ( ? [X1] :
              ( ca_Ax2(X1)
              & rf(X0,X1) )
          & cpxcomp(X0) ) )
      & ( ! [X1] :
            ( ~ ca_Ax2(X1)
            | ~ rf(X0,X1) )
        | ~ cpxcomp(X0)
        | cUnsatisfiable(X0) ) ),
    inference(nnf_transformation,[],[f26]) ).

fof(f99,plain,
    ! [X0] :
      ( ( ~ cUnsatisfiable(X0)
        | ( ? [X1] :
              ( ca_Ax2(X1)
              & rf(X0,X1) )
          & cpxcomp(X0) ) )
      & ( ! [X1] :
            ( ~ ca_Ax2(X1)
            | ~ rf(X0,X1) )
        | ~ cpxcomp(X0)
        | cUnsatisfiable(X0) ) ),
    inference(flattening,[],[f98]) ).

fof(f100,plain,
    ! [X0] :
      ( ( ~ cUnsatisfiable(X0)
        | ( ? [X2] :
              ( ca_Ax2(X2)
              & rf(X0,X2) )
          & cpxcomp(X0) ) )
      & ( ! [X1] :
            ( ~ ca_Ax2(X1)
            | ~ rf(X0,X1) )
        | ~ cpxcomp(X0)
        | cUnsatisfiable(X0) ) ),
    inference(rectify,[],[f99]) ).

fof(f101,plain,
    ! [X0] :
      ( ( ~ cUnsatisfiable(X0)
        | ( ca_Ax2(sK0(X0))
          & rf(X0,sK0(X0))
          & cpxcomp(X0) ) )
      & ( ! [X1] :
            ( ~ ca_Ax2(X1)
            | ~ rf(X0,X1) )
        | ~ cpxcomp(X0)
        | cUnsatisfiable(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0))],[f100]) ).

fof(f102,plain,
    ! [X0] :
      ( ( ~ cp(X0)
        | ! [X1] : ~ ra_Px1(X0,X1) )
      & ( ? [X1] : ra_Px1(X0,X1)
        | cp(X0) ) ),
    inference(nnf_transformation,[],[f87]) ).

fof(f103,plain,
    ! [X0] :
      ( ( ~ cp(X0)
        | ! [X2] : ~ ra_Px1(X0,X2) )
      & ( ? [X1] : ra_Px1(X0,X1)
        | cp(X0) ) ),
    inference(rectify,[],[f102]) ).

fof(f104,plain,
    ! [X0] :
      ( ( ~ cp(X0)
        | ! [X2] : ~ ra_Px1(X0,X2) )
      & ( ra_Px1(X0,sK1(X0))
        | cp(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f103]) ).

fof(f105,plain,
    ! [X0] :
      ( ( ~ cpxcomp(X0)
        | ? [X1] : ra_Px1(X0,X1) )
      & ( ! [X1] : ~ ra_Px1(X0,X1)
        | cpxcomp(X0) ) ),
    inference(nnf_transformation,[],[f28]) ).

fof(f106,plain,
    ! [X0] :
      ( ( ~ cpxcomp(X0)
        | ? [X2] : ra_Px1(X0,X2) )
      & ( ! [X1] : ~ ra_Px1(X0,X1)
        | cpxcomp(X0) ) ),
    inference(rectify,[],[f105]) ).

fof(f107,plain,
    ! [X0] :
      ( ( ~ cpxcomp(X0)
        | ra_Px1(X0,sK2(X0)) )
      & ( ! [X1] : ~ ra_Px1(X0,X1)
        | cpxcomp(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0))],[f106]) ).

fof(f108,plain,
    ! [X0] :
      ( ( ~ ca_Ax2(X0)
        | ( ! [X2] :
              ( ~ rinvF(X0,X2)
              | ca_Vx3(X2) )
          & ! [X1] :
              ( ~ rinvS(X0,X1)
              | cp(X1) ) ) )
      & ( ? [X2] :
            ( rinvF(X0,X2)
            & ~ ca_Vx3(X2) )
        | ? [X1] :
            ( rinvS(X0,X1)
            & ~ cp(X1) )
        | ca_Ax2(X0) ) ),
    inference(nnf_transformation,[],[f88]) ).

fof(f109,plain,
    ! [X0] :
      ( ( ~ ca_Ax2(X0)
        | ( ! [X2] :
              ( ~ rinvF(X0,X2)
              | ca_Vx3(X2) )
          & ! [X1] :
              ( ~ rinvS(X0,X1)
              | cp(X1) ) ) )
      & ( ? [X2] :
            ( rinvF(X0,X2)
            & ~ ca_Vx3(X2) )
        | ? [X1] :
            ( rinvS(X0,X1)
            & ~ cp(X1) )
        | ca_Ax2(X0) ) ),
    inference(flattening,[],[f108]) ).

fof(f110,plain,
    ! [X0] :
      ( ( ~ ca_Ax2(X0)
        | ( ! [X4] :
              ( ~ rinvF(X0,X4)
              | ca_Vx3(X4) )
          & ! [X3] :
              ( ~ rinvS(X0,X3)
              | cp(X3) ) ) )
      & ( ? [X2] :
            ( rinvF(X0,X2)
            & ~ ca_Vx3(X2) )
        | ? [X1] :
            ( rinvS(X0,X1)
            & ~ cp(X1) )
        | ca_Ax2(X0) ) ),
    inference(rectify,[],[f109]) ).

fof(f111,plain,
    ! [X0] :
      ( ( ~ ca_Ax2(X0)
        | ( ! [X4] :
              ( ~ rinvF(X0,X4)
              | ca_Vx3(X4) )
          & ! [X3] :
              ( ~ rinvS(X0,X3)
              | cp(X3) ) ) )
      & ( ( rinvF(X0,sK4(X0))
          & ~ ca_Vx3(sK4(X0)) )
        | ( rinvS(X0,sK3(X0))
          & ~ cp(sK3(X0)) )
        | ca_Ax2(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X1,sK3(X0)),skolemize(X2,sK4(X0))],[f110]) ).

fof(f112,plain,
    ! [X0] :
      ( ( ~ ca_Vx3(X0)
        | ? [X1] :
            ( cp(X1)
            & rs(X0,X1) ) )
      & ( ! [X1] :
            ( ~ cp(X1)
            | ~ rs(X0,X1) )
        | ca_Vx3(X0) ) ),
    inference(nnf_transformation,[],[f30]) ).

fof(f113,plain,
    ! [X0] :
      ( ( ~ ca_Vx3(X0)
        | ? [X2] :
            ( cp(X2)
            & rs(X0,X2) ) )
      & ( ! [X1] :
            ( ~ cp(X1)
            | ~ rs(X0,X1) )
        | ca_Vx3(X0) ) ),
    inference(rectify,[],[f112]) ).

fof(f114,plain,
    ! [X0] :
      ( ( ~ ca_Vx3(X0)
        | ( cp(sK5(X0))
          & rs(X0,sK5(X0)) ) )
      & ( ! [X1] :
            ( ~ cp(X1)
            | ~ rs(X0,X1) )
        | ca_Vx3(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0))],[f113]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( ( ~ rinvF(X0,X1)
        | rf(X1,X0) )
      & ( ~ rf(X1,X0)
        | rinvF(X0,X1) ) ),
    inference(nnf_transformation,[],[f33]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( ( ~ rinvS(X0,X1)
        | rs(X1,X0) )
      & ( ~ rs(X1,X0)
        | rinvS(X0,X1) ) ),
    inference(nnf_transformation,[],[f35]) ).

fof(f145,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | ca_Ax2(sK0(X0)) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f146,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | rf(X0,sK0(X0)) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f147,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | cpxcomp(X0) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f149,plain,
    ! [X2,X0] :
      ( ~ cp(X0)
      | ~ ra_Px1(X0,X2) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f151,plain,
    ! [X0] :
      ( ~ cpxcomp(X0)
      | ra_Px1(X0,sK2(X0)) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f153,plain,
    ! [X0,X4] :
      ( ~ ca_Ax2(X0)
      | ~ rinvF(X0,X4)
      | ca_Vx3(X4) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f154,plain,
    ! [X3,X0] :
      ( ~ ca_Ax2(X0)
      | ~ rinvS(X0,X3)
      | cp(X3) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f160,plain,
    ! [X0] :
      ( ~ ca_Vx3(X0)
      | rs(X0,sK5(X0)) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f162,plain,
    ! [X2,X0,X1] :
      ( ~ rf(X0,X2)
      | ~ rf(X0,X1)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f90]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( ~ rf(X1,X0)
      | rinvF(X0,X1) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( ~ rs(X1,X0)
      | rinvS(X0,X1) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f171,plain,
    cUnsatisfiable(i2003_11_14_17_21_08508),
    inference(cnf_transformation,[],[f37]) ).

fof(f172,plain,
    ! [X0,X1] :
      ( ~ rs(X0,X1)
      | rf(X0,X1) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_54,plain,
    ! [X0: $i] :
      ( cpxcomp(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_55,plain,
    ! [X0: $i] :
      ( rf(X0,sK0(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_56,plain,
    ! [X0: $i] :
      ( ca_Ax2(sK0(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f145]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i] :
      ( ~ cp(X0)
      | ~ ra_Px1(X0,X1) ),
    inference(cnf_transformation,[],[f149]) ).

tcf(c_60,plain,
    ! [X0: $i] :
      ( ra_Px1(X0,sK2(X0))
      | ~ cpxcomp(X0) ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_65,plain,
    ! [X0: $i,X1: $i] :
      ( cp(X1)
      | ~ ca_Ax2(X0)
      | ~ rinvS(X0,X1) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_66,plain,
    ! [X0: $i,X1: $i] :
      ( ca_Vx3(X1)
      | ~ ca_Ax2(X0)
      | ~ rinvF(X0,X1) ),
    inference(cnf_transformation,[],[f153]) ).

tcf(c_68,plain,
    ! [X0: $i] :
      ( rs(X0,sK5(X0))
      | ~ ca_Vx3(X0) ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_70,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X2 )
      | ~ rf(X0,X2)
      | ~ rf(X0,X1) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_72,plain,
    ! [X0: $i,X1: $i] :
      ( rinvF(X1,X0)
      | ~ rf(X0,X1) ),
    inference(cnf_transformation,[],[f165]) ).

tcf(c_76,plain,
    ! [X0: $i,X1: $i] :
      ( rinvS(X1,X0)
      | ~ rs(X0,X1) ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_79,plain,
    cUnsatisfiable(i2003_11_14_17_21_08508),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_80,plain,
    ! [X0: $i,X1: $i] :
      ( rf(X0,X1)
      | ~ rs(X0,X1) ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_89,plain,
    ( ca_Ax2(sK0(i2003_11_14_17_21_08508))
    | ~ cUnsatisfiable(i2003_11_14_17_21_08508) ),
    inference(instantiation,[status(thm)],[c_56]) ).

tcf(c_117,plain,
    ! [X0: $i] :
      ( cpxcomp(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(prop_impl_just,[status(thm)],[c_54]) ).

tcf(c_123,plain,
    ! [X0: $i] :
      ( ra_Px1(X0,sK2(X0))
      | ~ cpxcomp(X0) ),
    inference(prop_impl_just,[status(thm)],[c_60]) ).

tcf(c_129,plain,
    ! [X0: $i,X1: $i] :
      ( rinvF(X1,X0)
      | ~ rf(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_72]) ).

tcf(c_133,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ra_Px1(X0,X1)
      | ~ cp(X0) ),
    inference(prop_impl_just,[status(thm)],[c_58]) ).

tcf(c_134,plain,
    ! [X0: $i,X1: $i] :
      ( ~ cp(X0)
      | ~ ra_Px1(X0,X1) ),
    inference(renaming,[status(thm)],[c_133]) ).

tcf(c_153,plain,
    ! [X0: $i,X1: $i] :
      ( rinvS(X1,X0)
      | ~ rs(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_76]) ).

tcf(c_556,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ cp(X0)
      | ~ cpxcomp(X1)
      | ( X0 != X1 )
      | ( sK2(X1) != X2 ) ),
    inference(resolution_lifted,[status(thm)],[c_134,c_123]) ).

tcf(c_557,plain,
    ! [X0: $i] :
      ( ~ cp(X0)
      | ~ cpxcomp(X0) ),
    inference(unflattening,[status(thm)],[c_556]) ).

tcf(c_585,plain,
    ! [X0: $i,X1: $i] :
      ( ~ cp(X1)
      | ~ cUnsatisfiable(X0)
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_117,c_557]) ).

tcf(c_586,plain,
    ! [X0: $i] :
      ( ~ cp(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(unflattening,[status(thm)],[c_585]) ).

tcf(c_690,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ca_Vx3(X2)
      | ~ ca_Ax2(X0)
      | ~ rf(X3,X1)
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_66,c_129]) ).

tcf(c_691,plain,
    ! [X0: $i,X1: $i] :
      ( ca_Vx3(X0)
      | ~ ca_Ax2(X1)
      | ~ rf(X0,X1) ),
    inference(unflattening,[status(thm)],[c_690]) ).

tcf(c_741,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( cp(X2)
      | ~ ca_Ax2(X0)
      | ~ rs(X3,X1)
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_65,c_153]) ).

tcf(c_742,plain,
    ! [X0: $i,X1: $i] :
      ( cp(X0)
      | ~ ca_Ax2(X1)
      | ~ rs(X0,X1) ),
    inference(unflattening,[status(thm)],[c_741]) ).

tcf(c_2551,plain,
    ~ cp(i2003_11_14_17_21_08508),
    inference(superposition,[status(thm)],[c_79,c_586]) ).

tcf(c_2564,plain,
    ! [X0: $i] :
      ( rf(X0,sK5(X0))
      | ~ ca_Vx3(X0) ),
    inference(superposition,[status(thm)],[c_68,c_80]) ).

tcf(c_2574,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(X0) = X1 )
      | ~ cUnsatisfiable(X0)
      | ~ rf(X0,X1) ),
    inference(superposition,[status(thm)],[c_55,c_70]) ).

tcf(c_2630,plain,
    ! [X0: $i] :
      ( ca_Vx3(X0)
      | ~ cUnsatisfiable(X0)
      | ~ ca_Ax2(sK0(X0)) ),
    inference(superposition,[status(thm)],[c_55,c_691]) ).

tcf(c_2642,plain,
    ! [X0: $i] :
      ( cp(X0)
      | ~ ca_Vx3(X0)
      | ~ ca_Ax2(sK5(X0)) ),
    inference(superposition,[status(thm)],[c_68,c_742]) ).

tcf(c_2647,plain,
    ! [X0: $i] :
      ( ca_Vx3(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_2630,c_56,c_2630]) ).

tcf(c_2654,plain,
    ca_Vx3(i2003_11_14_17_21_08508),
    inference(superposition,[status(thm)],[c_79,c_2647]) ).

tcf(c_2739,plain,
    ! [X0: $i] :
      ( ( sK0(X0) = sK5(X0) )
      | ~ ca_Vx3(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(superposition,[status(thm)],[c_2564,c_2574]) ).

tcf(c_2835,plain,
    ! [X0: $i] :
      ( ( sK0(X0) = sK5(X0) )
      | ~ cUnsatisfiable(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_2739,c_56,c_2630,c_2739]) ).

tcf(c_2842,plain,
    sK0(i2003_11_14_17_21_08508) = sK5(i2003_11_14_17_21_08508),
    inference(superposition,[status(thm)],[c_79,c_2835]) ).

tcf(c_2847,plain,
    ( cp(i2003_11_14_17_21_08508)
    | ~ ca_Vx3(i2003_11_14_17_21_08508)
    | ~ ca_Ax2(sK0(i2003_11_14_17_21_08508)) ),
    inference(superposition,[status(thm)],[c_2842,c_2642]) ).

tcf(c_2856,plain,
    ~ ca_Ax2(sK0(i2003_11_14_17_21_08508)),
    inference(forward_subsumption_resolution,[status(thm)],[c_2847,c_2551,c_2654]) ).

tcf(c_2857,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_2856,c_89,c_79]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : KRS109+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n009.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 19:24:59 UTC 2026
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40  Running first-order theorem proving
% 0.13/0.40  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
% 0.13/0.41  
% 0.13/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41  
% 0.13/0.41  % Detected problem language: tptp
% 0.13/0.43  % Proving...
% 2.05/1.27  % SZS status Started for theBenchmark.p
% 2.05/1.27  % SZS status Unsatisfiable for theBenchmark.p
% 2.05/1.27  
% 2.05/1.27  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.05/1.27  
% 2.05/1.27  % ------  iProver source info
% 2.05/1.27  
% 2.05/1.27  % git: date: 2026-07-19 20:42:38 +0200
% 2.05/1.27  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.05/1.27  % git: non_committed_changes: false
% 2.05/1.27  
% 2.05/1.27  % ------ Parsing...
% 2.05/1.27  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 2.05/1.27  
% 2.05/1.27  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 5 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 4 0s  sf_e  pe_s  pe_e % 
% 2.05/1.27  
% 2.05/1.27  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 2.05/1.27  
% 2.05/1.27  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.05/1.27  % ------ Proving...
% 2.05/1.27  % ------ Problem Properties 
% 2.05/1.27  
% 2.05/1.27  % 
% 2.05/1.27  % clauses                               19
% 2.05/1.27  % conjectures                           0
% 2.05/1.27  % EPR                                   11
% 2.05/1.27  % Horn                                  15
% 2.05/1.27  % unary                                 1
% 2.05/1.27  % binary                                7
% 2.05/1.27  % lits                                  49
% 2.05/1.27  % lits eq                               3
% 2.05/1.27  % fd_pure                               0
% 2.05/1.27  % fd_pseudo                             0
% 2.05/1.27  % fd_cond                               0
% 2.05/1.27  % fd_pseudo_cond                        3
% 2.05/1.27  % AC symbols                            0
% 2.05/1.27  
% 2.05/1.27  % ------ Schedule dynamic 5 is on 
% 2.05/1.27  
% 2.05/1.27  % ------ no conjectures: strip conj schedule 
% 2.05/1.27  
% 2.05/1.27  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.05/1.27  
% 2.05/1.27  
% 2.05/1.27  % ------ 
% 2.05/1.27  % Current options:
% 2.05/1.27  % ------ 
% 2.05/1.27  
% 2.05/1.27  
% 2.05/1.27  % 
% 2.05/1.27  
% 2.05/1.27  % ------ Proving...
% 2.05/1.27  % 
% 2.05/1.27  
% 2.05/1.27  % SZS status Unsatisfiable for theBenchmark.p
% 2.05/1.27  
% 2.05/1.27  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.05/1.27  
% 2.05/1.27  
%------------------------------------------------------------------------------