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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : KRS083+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n026.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 01:54:07 PM UTC 2026

% Result   : Unsatisfiable 2.24s 1.27s
% Output   : CNFRefutation 2.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   88 (  16 unt;   0 def)
%            Number of atoms       :  284 (  17 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  335 ( 139   ~; 131   |;  54   &)
%                                         (   6 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   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  :   11 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-1 aty)
%            Number of variables   :  143 (   0 sgn 124   !;  19   ?;  49   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f16,axiom,
    ! [X0] :
      ( ~ cowlNothing(X0)
      & cowlThing(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

fof(f18,axiom,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ? [X1] :
            ( cd(X1)
            & rinvF(X0,X1) )
        & ~ cc(X0)
        & ! [X1] :
            ( rinvR(X0,X1)
           => ? [X2] :
                ( cd(X2)
                & rinvF(X1,X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f19,axiom,
    ! [X0] :
      ( cd(X0)
    <=> ( cc(X0)
        & ? [X1] :
            ( ~ cc(X1)
            & rf(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(f20,axiom,
    ! [X0] :
      ( cowlThing(X0)
     => ! [X1,X2] :
          ( ( rf(X0,X2)
            & rf(X0,X1) )
         => X1 = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

fof(f21,axiom,
    ! [X0,X1] :
      ( rinvF(X0,X1)
    <=> rf(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(f22,axiom,
    ! [X0,X1] :
      ( rinvR(X0,X1)
    <=> rr(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

fof(f24,axiom,
    cUnsatisfiable(i2003_11_14_17_19_32337),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

fof(f25,axiom,
    ! [X0,X1] :
      ( rf(X0,X1)
     => rr(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).

fof(f26,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ? [X3] :
            ( cd(X3)
            & rinvF(X0,X3) )
        & ~ cc(X0)
        & ! [X1] :
            ( rinvR(X0,X1)
           => ? [X2] :
                ( cd(X2)
                & rinvF(X1,X2) ) ) ) ),
    inference(rectify,[],[f18]) ).

fof(f57,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ? [X3] :
            ( cd(X3)
            & rinvF(X0,X3) )
        & ~ cc(X0)
        & ! [X1] :
            ( ~ rinvR(X0,X1)
            | ? [X2] :
                ( cd(X2)
                & rinvF(X1,X2) ) ) ) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f58,plain,
    ! [X0] :
      ( ~ cowlThing(X0)
      | ! [X1,X2] :
          ( ~ rf(X0,X2)
          | ~ rf(X0,X1)
          | X1 = X2 ) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f59,plain,
    ! [X0] :
      ( ~ cowlThing(X0)
      | ! [X1,X2] :
          ( ~ rf(X0,X2)
          | ~ rf(X0,X1)
          | X1 = X2 ) ),
    inference(flattening,[],[f58]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ rf(X0,X1)
      | rr(X0,X1) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f64,plain,
    ! [X0] :
      ( ( ~ cUnsatisfiable(X0)
        | ( ? [X3] :
              ( cd(X3)
              & rinvF(X0,X3) )
          & ~ cc(X0)
          & ! [X1] :
              ( ~ rinvR(X0,X1)
              | ? [X2] :
                  ( cd(X2)
                  & rinvF(X1,X2) ) ) ) )
      & ( ! [X3] :
            ( ~ cd(X3)
            | ~ rinvF(X0,X3) )
        | cc(X0)
        | ? [X1] :
            ( rinvR(X0,X1)
            & ! [X2] :
                ( ~ cd(X2)
                | ~ rinvF(X1,X2) ) )
        | cUnsatisfiable(X0) ) ),
    inference(nnf_transformation,[],[f57]) ).

fof(f65,plain,
    ! [X0] :
      ( ( ~ cUnsatisfiable(X0)
        | ( ? [X3] :
              ( cd(X3)
              & rinvF(X0,X3) )
          & ~ cc(X0)
          & ! [X1] :
              ( ~ rinvR(X0,X1)
              | ? [X2] :
                  ( cd(X2)
                  & rinvF(X1,X2) ) ) ) )
      & ( ! [X3] :
            ( ~ cd(X3)
            | ~ rinvF(X0,X3) )
        | cc(X0)
        | ? [X1] :
            ( rinvR(X0,X1)
            & ! [X2] :
                ( ~ cd(X2)
                | ~ rinvF(X1,X2) ) )
        | cUnsatisfiable(X0) ) ),
    inference(flattening,[],[f64]) ).

fof(f66,plain,
    ! [X0] :
      ( ( ~ cUnsatisfiable(X0)
        | ( ? [X6] :
              ( cd(X6)
              & rinvF(X0,X6) )
          & ~ cc(X0)
          & ! [X4] :
              ( ~ rinvR(X0,X4)
              | ? [X5] :
                  ( cd(X5)
                  & rinvF(X4,X5) ) ) ) )
      & ( ! [X3] :
            ( ~ cd(X3)
            | ~ rinvF(X0,X3) )
        | cc(X0)
        | ? [X1] :
            ( rinvR(X0,X1)
            & ! [X2] :
                ( ~ cd(X2)
                | ~ rinvF(X1,X2) ) )
        | cUnsatisfiable(X0) ) ),
    inference(rectify,[],[f65]) ).

fof(f67,plain,
    ! [X0] :
      ( ( ~ cUnsatisfiable(X0)
        | ( cd(sK2(X0))
          & rinvF(X0,sK2(X0))
          & ~ cc(X0)
          & ! [X4] :
              ( ~ rinvR(X0,X4)
              | ( cd(sK1(X4))
                & rinvF(X4,sK1(X4)) ) ) ) )
      & ( ! [X3] :
            ( ~ cd(X3)
            | ~ rinvF(X0,X3) )
        | cc(X0)
        | ( rinvR(X0,sK0(X0))
          & ! [X2] :
              ( ~ cd(X2)
              | ~ rinvF(sK0(X0),X2) ) )
        | cUnsatisfiable(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X1,sK0(X0)),skolemize(X5,sK1(X4)),skolemize(X6,sK2(X0))],[f66]) ).

fof(f68,plain,
    ! [X0] :
      ( ( ~ cd(X0)
        | ( cc(X0)
          & ? [X1] :
              ( ~ cc(X1)
              & rf(X0,X1) ) ) )
      & ( ~ cc(X0)
        | ! [X1] :
            ( cc(X1)
            | ~ rf(X0,X1) )
        | cd(X0) ) ),
    inference(nnf_transformation,[],[f19]) ).

fof(f69,plain,
    ! [X0] :
      ( ( ~ cd(X0)
        | ( cc(X0)
          & ? [X1] :
              ( ~ cc(X1)
              & rf(X0,X1) ) ) )
      & ( ~ cc(X0)
        | ! [X1] :
            ( cc(X1)
            | ~ rf(X0,X1) )
        | cd(X0) ) ),
    inference(flattening,[],[f68]) ).

fof(f70,plain,
    ! [X0] :
      ( ( ~ cd(X0)
        | ( cc(X0)
          & ? [X2] :
              ( ~ cc(X2)
              & rf(X0,X2) ) ) )
      & ( ~ cc(X0)
        | ! [X1] :
            ( cc(X1)
            | ~ rf(X0,X1) )
        | cd(X0) ) ),
    inference(rectify,[],[f69]) ).

fof(f71,plain,
    ! [X0] :
      ( ( ~ cd(X0)
        | ( cc(X0)
          & ~ cc(sK3(X0))
          & rf(X0,sK3(X0)) ) )
      & ( ~ cc(X0)
        | ! [X1] :
            ( cc(X1)
            | ~ rf(X0,X1) )
        | cd(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0))],[f70]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ( ~ rinvF(X0,X1)
        | rf(X1,X0) )
      & ( ~ rf(X1,X0)
        | rinvF(X0,X1) ) ),
    inference(nnf_transformation,[],[f21]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ( ~ rinvR(X0,X1)
        | rr(X1,X0) )
      & ( ~ rr(X1,X0)
        | rinvR(X0,X1) ) ),
    inference(nnf_transformation,[],[f22]) ).

fof(f90,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f16]) ).

fof(f93,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | cd(sK2(X0)) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f94,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | rinvF(X0,sK2(X0)) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f95,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | ~ cc(X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f96,plain,
    ! [X0,X4] :
      ( ~ cUnsatisfiable(X0)
      | ~ rinvR(X0,X4)
      | cd(sK1(X4)) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f97,plain,
    ! [X0,X4] :
      ( ~ cUnsatisfiable(X0)
      | ~ rinvR(X0,X4)
      | rinvF(X4,sK1(X4)) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f100,plain,
    ! [X0] :
      ( ~ cd(X0)
      | cc(X0) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f101,plain,
    ! [X0] :
      ( ~ cd(X0)
      | ~ cc(sK3(X0)) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f102,plain,
    ! [X0] :
      ( ~ cd(X0)
      | rf(X0,sK3(X0)) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ~ cc(X0)
      | cc(X1)
      | ~ rf(X0,X1)
      | cd(X0) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f104,plain,
    ! [X2,X0,X1] :
      ( ~ cowlThing(X0)
      | ~ rf(X0,X2)
      | ~ rf(X0,X1)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f59]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ~ rinvF(X0,X1)
      | rf(X1,X0) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ~ rr(X1,X0)
      | rinvR(X0,X1) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f110,plain,
    cUnsatisfiable(i2003_11_14_17_19_32337),
    inference(cnf_transformation,[],[f24]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ~ rf(X0,X1)
      | rr(X0,X1) ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_49,plain,
    ! [X0: $i] : cowlThing(X0),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i] :
      ( rinvF(X1,sK1(X1))
      | ~ cUnsatisfiable(X0)
      | ~ rinvR(X0,X1) ),
    inference(cnf_transformation,[],[f97]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i] :
      ( cd(sK1(X1))
      | ~ cUnsatisfiable(X0)
      | ~ rinvR(X0,X1) ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_57,plain,
    ! [X0: $i] :
      ( ~ cc(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_58,plain,
    ! [X0: $i] :
      ( rinvF(X0,sK2(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_59,plain,
    ! [X0: $i] :
      ( cd(sK2(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f93]) ).

tcf(c_60,plain,
    ! [X0: $i,X1: $i] :
      ( cc(X1)
      | cd(X0)
      | ~ cc(X0)
      | ~ rf(X0,X1) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_61,plain,
    ! [X0: $i] :
      ( rf(X0,sK3(X0))
      | ~ cd(X0) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_62,plain,
    ! [X0: $i] :
      ( ~ cd(X0)
      | ~ cc(sK3(X0)) ),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_63,plain,
    ! [X0: $i] :
      ( cc(X0)
      | ~ cd(X0) ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_64,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X2 )
      | ~ cowlThing(X0)
      | ~ rf(X0,X2)
      | ~ rf(X0,X1) ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_66,plain,
    ! [X0: $i,X1: $i] :
      ( rf(X1,X0)
      | ~ rinvF(X0,X1) ),
    inference(cnf_transformation,[],[f105]) ).

tcf(c_67,plain,
    ! [X0: $i,X1: $i] :
      ( rinvR(X1,X0)
      | ~ rr(X0,X1) ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_70,plain,
    cUnsatisfiable(i2003_11_14_17_19_32337),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_71,plain,
    ! [X0: $i,X1: $i] :
      ( rr(X0,X1)
      | ~ rf(X0,X1) ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_76,plain,
    ( cd(sK2(i2003_11_14_17_19_32337))
    | ~ cUnsatisfiable(i2003_11_14_17_19_32337) ),
    inference(instantiation,[status(thm)],[c_59]) ).

tcf(c_90,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X2 )
      | ~ rf(X0,X1)
      | ~ rf(X0,X2) ),
    inference(global_subsumption_just,[status(thm)],[c_64,c_49,c_64]) ).

tcf(c_91,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X2 )
      | ~ rf(X0,X2)
      | ~ rf(X0,X1) ),
    inference(renaming,[status(thm)],[c_90]) ).

tcf(c_123,plain,
    ! [X0: $i,X1: $i] :
      ( rinvR(X1,X0)
      | ~ rr(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_67]) ).

tcf(c_429,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( cd(sK1(X2))
      | ~ cUnsatisfiable(X0)
      | ~ rr(X3,X1)
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_56,c_123]) ).

tcf(c_430,plain,
    ! [X0: $i,X1: $i] :
      ( cd(sK1(X0))
      | ~ cUnsatisfiable(X1)
      | ~ rr(X0,X1) ),
    inference(unflattening,[status(thm)],[c_429]) ).

tcf(c_441,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( rinvF(X2,sK1(X2))
      | ~ cUnsatisfiable(X0)
      | ~ rr(X3,X1)
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_55,c_123]) ).

tcf(c_442,plain,
    ! [X0: $i,X1: $i] :
      ( rinvF(X0,sK1(X0))
      | ~ cUnsatisfiable(X1)
      | ~ rr(X0,X1) ),
    inference(unflattening,[status(thm)],[c_441]) ).

tcf(c_1450,plain,
    ~ cc(i2003_11_14_17_19_32337),
    inference(superposition,[status(thm)],[c_70,c_57]) ).

tcf(c_1493,plain,
    ! [X0: $i] :
      ( rf(sK2(X0),X0)
      | ~ cUnsatisfiable(X0) ),
    inference(superposition,[status(thm)],[c_58,c_66]) ).

tcf(c_1496,plain,
    ( rf(sK2(i2003_11_14_17_19_32337),i2003_11_14_17_19_32337)
    | ~ cUnsatisfiable(i2003_11_14_17_19_32337) ),
    inference(instantiation,[status(thm)],[c_1493]) ).

tcf(c_1501,plain,
    ! [X0: $i] :
      ( rr(X0,sK3(X0))
      | ~ cd(X0) ),
    inference(superposition,[status(thm)],[c_61,c_71]) ).

tcf(c_1514,plain,
    ! [X0: $i] :
      ( rr(sK2(X0),X0)
      | ~ cUnsatisfiable(X0) ),
    inference(superposition,[status(thm)],[c_1493,c_71]) ).

tcf(c_1518,plain,
    ( rr(sK2(i2003_11_14_17_19_32337),i2003_11_14_17_19_32337)
    | ~ cUnsatisfiable(i2003_11_14_17_19_32337) ),
    inference(instantiation,[status(thm)],[c_1514]) ).

tcf(c_1771,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK3(X0) = X1 )
      | ~ cd(X0)
      | ~ rf(X0,X1) ),
    inference(superposition,[status(thm)],[c_61,c_91]) ).

tcf(c_1843,plain,
    ! [X0: $i] :
      ( ( sK3(sK2(X0)) = X0 )
      | ~ cUnsatisfiable(X0)
      | ~ cd(sK2(X0)) ),
    inference(superposition,[status(thm)],[c_1493,c_1771]) ).

tcf(c_1901,plain,
    ! [X0: $i] :
      ( ( sK3(sK2(X0)) = X0 )
      | ~ cUnsatisfiable(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_1843,c_59,c_1843]) ).

tcf(c_1908,plain,
    sK3(sK2(i2003_11_14_17_19_32337)) = i2003_11_14_17_19_32337,
    inference(superposition,[status(thm)],[c_70,c_1901]) ).

tcf(c_1912,plain,
    ( rr(sK2(i2003_11_14_17_19_32337),i2003_11_14_17_19_32337)
    | ~ cd(sK2(i2003_11_14_17_19_32337)) ),
    inference(superposition,[status(thm)],[c_1908,c_1501]) ).

tcf(c_1915,plain,
    ( rf(sK2(i2003_11_14_17_19_32337),i2003_11_14_17_19_32337)
    | ~ cd(sK2(i2003_11_14_17_19_32337)) ),
    inference(superposition,[status(thm)],[c_1908,c_61]) ).

tcf(c_1943,plain,
    rr(sK2(i2003_11_14_17_19_32337),i2003_11_14_17_19_32337),
    inference(global_subsumption_just,[status(thm)],[c_1912,c_70,c_1518]) ).

tcf(c_1946,plain,
    ( cd(sK1(sK2(i2003_11_14_17_19_32337)))
    | ~ cUnsatisfiable(i2003_11_14_17_19_32337) ),
    inference(superposition,[status(thm)],[c_1943,c_430]) ).

tcf(c_1947,plain,
    ( rinvF(sK2(i2003_11_14_17_19_32337),sK1(sK2(i2003_11_14_17_19_32337)))
    | ~ cUnsatisfiable(i2003_11_14_17_19_32337) ),
    inference(superposition,[status(thm)],[c_1943,c_442]) ).

tcf(c_1948,plain,
    cd(sK1(sK2(i2003_11_14_17_19_32337))),
    inference(forward_subsumption_resolution,[status(thm)],[c_1946,c_70]) ).

tcf(c_1951,plain,
    rinvF(sK2(i2003_11_14_17_19_32337),sK1(sK2(i2003_11_14_17_19_32337))),
    inference(forward_subsumption_resolution,[status(thm)],[c_1947,c_70]) ).

tcf(c_1965,plain,
    rf(sK2(i2003_11_14_17_19_32337),i2003_11_14_17_19_32337),
    inference(global_subsumption_just,[status(thm)],[c_1915,c_70,c_1496]) ).

tcf(c_1969,plain,
    ( cc(i2003_11_14_17_19_32337)
    | cd(sK2(i2003_11_14_17_19_32337))
    | ~ cc(sK2(i2003_11_14_17_19_32337)) ),
    inference(superposition,[status(thm)],[c_1965,c_60]) ).

tcf(c_1973,plain,
    ( cd(sK2(i2003_11_14_17_19_32337))
    | ~ cc(sK2(i2003_11_14_17_19_32337)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1969,c_1450]) ).

tcf(c_1997,plain,
    cd(sK2(i2003_11_14_17_19_32337)),
    inference(global_subsumption_just,[status(thm)],[c_1973,c_70,c_76]) ).

tcf(c_1999,plain,
    cc(sK2(i2003_11_14_17_19_32337)),
    inference(superposition,[status(thm)],[c_1997,c_63]) ).

tcf(c_2019,plain,
    rf(sK1(sK2(i2003_11_14_17_19_32337)),sK2(i2003_11_14_17_19_32337)),
    inference(superposition,[status(thm)],[c_1951,c_66]) ).

tcf(c_2038,plain,
    ( ( sK3(sK1(sK2(i2003_11_14_17_19_32337))) = sK2(i2003_11_14_17_19_32337) )
    | ~ cd(sK1(sK2(i2003_11_14_17_19_32337))) ),
    inference(superposition,[status(thm)],[c_2019,c_1771]) ).

tcf(c_2045,plain,
    sK3(sK1(sK2(i2003_11_14_17_19_32337))) = sK2(i2003_11_14_17_19_32337),
    inference(forward_subsumption_resolution,[status(thm)],[c_2038,c_1948]) ).

tcf(c_2092,plain,
    ( ~ cc(sK2(i2003_11_14_17_19_32337))
    | ~ cd(sK1(sK2(i2003_11_14_17_19_32337))) ),
    inference(superposition,[status(thm)],[c_2045,c_62]) ).

tcf(c_2094,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_2092,c_1999,c_1948]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS083+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.36  % Computer : n026.cluster.edu
% 0.12/0.36  % Model    : x86_64 x86_64
% 0.12/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36  % Memory   : 8046.5625MB
% 0.12/0.36  % OS       : Linux 6.8.0-71-generic
% 0.12/0.36  % CPULimit : 300
% 0.12/0.36  % WCLimit  : 300
% 0.12/0.36  % DateTime : Wed Sep 23 19:23:24 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.40  Running first-order theorem proving
% 0.12/0.40  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.41  
% 0.12/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41  
% 0.12/0.42  % Detected problem language: tptp
% 0.12/0.43  % Proving...
% 2.24/1.27  % SZS status Started for theBenchmark.p
% 2.24/1.27  % SZS status Unsatisfiable for theBenchmark.p
% 2.24/1.27  
% 2.24/1.27  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.24/1.27  
% 2.24/1.27  % ------  iProver source info
% 2.24/1.27  
% 2.24/1.27  % git: date: 2026-07-19 20:42:38 +0200
% 2.24/1.27  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.24/1.27  % git: non_committed_changes: false
% 2.24/1.27  
% 2.24/1.27  % ------ Parsing...
% 2.24/1.27  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 2.24/1.27  
% 2.24/1.27  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 5 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e % 
% 2.24/1.27  
% 2.24/1.27  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 2.24/1.27  
% 2.24/1.27  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.24/1.27  % ------ Proving...
% 2.24/1.27  % ------ Problem Properties 
% 2.24/1.27  
% 2.24/1.27  % 
% 2.24/1.27  % clauses                               17
% 2.24/1.27  % conjectures                           0
% 2.24/1.27  % EPR                                   9
% 2.24/1.27  % Horn                                  14
% 2.24/1.27  % unary                                 1
% 2.24/1.27  % binary                                9
% 2.24/1.27  % lits                                  46
% 2.24/1.27  % lits eq                               1
% 2.24/1.27  % fd_pure                               0
% 2.24/1.27  % fd_pseudo                             0
% 2.24/1.27  % fd_cond                               0
% 2.24/1.27  % fd_pseudo_cond                        1
% 2.24/1.27  % AC symbols                            0
% 2.24/1.27  
% 2.24/1.27  % ------ Schedule dynamic 5 is on 
% 2.24/1.27  
% 2.24/1.27  % ------ no conjectures: strip conj schedule 
% 2.24/1.27  
% 2.24/1.27  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.24/1.27  
% 2.24/1.27  
% 2.24/1.27  % ------ 
% 2.24/1.27  % Current options:
% 2.24/1.27  % ------ 
% 2.24/1.27  
% 2.24/1.27  
% 2.24/1.27  % 
% 2.24/1.27  
% 2.24/1.27  % ------ Proving...
% 2.24/1.27  % 
% 2.24/1.27  
% 2.24/1.27  % SZS status Unsatisfiable for theBenchmark.p
% 2.24/1.27  
% 2.24/1.27  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.24/1.28  
% 2.24/1.28  
%------------------------------------------------------------------------------