↑ Up

iProver---3.9.4.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : KRS162+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 : n011.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 01:54:18 PM UTC 2026

% Result   : Theorem 1.93s 1.28s
% Output   : CNFRefutation 1.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  187 (  49 unt;   5 def)
%            Number of atoms       :  849 ( 328 equ)
%            Maximal formula atoms :   28 (   4 avg)
%            Number of connectives :  866 ( 336   ~; 382   |; 134   &)
%                                         (   4 <=>;   7  =>;   0  <=;   3 <~>)
%            Maximal formula depth :   26 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   19 (  17 usr;   5 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :  270 (   0 sgn 202   !;  68   ?; 114   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,axiom,
    ! [X0] :
      ( ~ cowlNothing(X0)
      & cowlThing(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).

fof(f14,axiom,
    ! [X0] :
      ( xsd_string(X0)
    <=> ~ xsd_integer(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

fof(f15,axiom,
    ! [X0,X1] :
      ( rp(X0,X1)
     => cA(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( rq(X0,X1)
     => cB(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f17,axiom,
    ! [X0] :
      ~ ( cA(X0)
        & cB(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

fof(f18,axiom,
    ! [X0,X1] :
      ( rq(X0,X1)
     => rr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(f19,axiom,
    ! [X0,X1] :
      ( rp(X0,X1)
     => rr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

fof(f20,conjecture,
    ( ! [X0] :
        ( ( ? [X1,X2,X3] :
              ( X2 != X3
              & X1 != X3
              & X1 != X2
              & rq(X0,X3)
              & rq(X0,X2)
              & rq(X0,X1) )
          & ? [X1,X2] :
              ( X1 != X2
              & rp(X0,X2)
              & rp(X0,X1) ) )
       => ? [X1,X2,X3,X4,X5] :
            ( X4 != X5
            & X3 != X5
            & X3 != X4
            & X2 != X5
            & X2 != X4
            & X2 != X3
            & X1 != X5
            & X1 != X4
            & X1 != X3
            & X1 != X2
            & rr(X0,X5)
            & rr(X0,X4)
            & rr(X0,X3)
            & rr(X0,X2)
            & rr(X0,X1) ) )
    & ! [X0] :
        ( xsd_string(X0)
      <=> ~ xsd_integer(X0) )
    & ! [X0] :
        ( ~ cowlNothing(X0)
        & cowlThing(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).

fof(f21,negated_conjecture,
    ~ ( ! [X0] :
          ( ( ? [X1,X2,X3] :
                ( X2 != X3
                & X1 != X3
                & X1 != X2
                & rq(X0,X3)
                & rq(X0,X2)
                & rq(X0,X1) )
            & ? [X1,X2] :
                ( X1 != X2
                & rp(X0,X2)
                & rp(X0,X1) ) )
         => ? [X1,X2,X3,X4,X5] :
              ( X4 != X5
              & X3 != X5
              & X3 != X4
              & X2 != X5
              & X2 != X4
              & X2 != X3
              & X1 != X5
              & X1 != X4
              & X1 != X3
              & X1 != X2
              & rr(X0,X5)
              & rr(X0,X4)
              & rr(X0,X3)
              & rr(X0,X2)
              & rr(X0,X1) ) )
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) ) ),
    inference(negated_conjecture,[status(cth)],[f20]) ).

fof(f22,plain,
    ~ ( ! [X2] :
          ( ( ? [X5,X6,X7] :
                ( X6 != X7
                & X5 != X7
                & X5 != X6
                & rq(X2,X7)
                & rq(X2,X6)
                & rq(X2,X5) )
            & ? [X3,X4] :
                ( X3 != X4
                & rp(X2,X4)
                & rp(X2,X3) ) )
         => ? [X8,X9,X10,X11,X12] :
              ( X11 != X12
              & X10 != X12
              & X10 != X11
              & X9 != X12
              & X9 != X11
              & X9 != X10
              & X8 != X12
              & X8 != X11
              & X8 != X10
              & X8 != X9
              & rr(X2,X12)
              & rr(X2,X11)
              & rr(X2,X10)
              & rr(X2,X9)
              & rr(X2,X8) ) )
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) ) ),
    inference(rectify,[],[f21]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ~ rp(X0,X1)
      | cA(X1) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ~ rq(X0,X1)
      | cB(X1) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f49,plain,
    ! [X0] :
      ( ~ cA(X0)
      | ~ cB(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ~ rq(X0,X1)
      | rr(X0,X1) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ~ rp(X0,X1)
      | rr(X0,X1) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f52,plain,
    ( ? [X2] :
        ( ? [X5,X6,X7] :
            ( X6 != X7
            & X5 != X7
            & X5 != X6
            & rq(X2,X7)
            & rq(X2,X6)
            & rq(X2,X5) )
        & ? [X3,X4] :
            ( X3 != X4
            & rp(X2,X4)
            & rp(X2,X3) )
        & ! [X8,X9,X10,X11,X12] :
            ( X11 = X12
            | X10 = X12
            | X10 = X11
            | X9 = X12
            | X9 = X11
            | X9 = X10
            | X8 = X12
            | X8 = X11
            | X8 = X10
            | X8 = X9
            | ~ rr(X2,X12)
            | ~ rr(X2,X11)
            | ~ rr(X2,X10)
            | ~ rr(X2,X9)
            | ~ rr(X2,X8) ) )
    | ? [X1] :
        ( xsd_string(X1)
      <~> ~ xsd_integer(X1) )
    | ? [X0] :
        ( cowlNothing(X0)
        | ~ cowlThing(X0) ) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f53,plain,
    ( ? [X2] :
        ( ? [X5,X6,X7] :
            ( X6 != X7
            & X5 != X7
            & X5 != X6
            & rq(X2,X7)
            & rq(X2,X6)
            & rq(X2,X5) )
        & ? [X3,X4] :
            ( X3 != X4
            & rp(X2,X4)
            & rp(X2,X3) )
        & ! [X8,X9,X10,X11,X12] :
            ( X11 = X12
            | X10 = X12
            | X10 = X11
            | X9 = X12
            | X9 = X11
            | X9 = X10
            | X8 = X12
            | X8 = X11
            | X8 = X10
            | X8 = X9
            | ~ rr(X2,X12)
            | ~ rr(X2,X11)
            | ~ rr(X2,X10)
            | ~ rr(X2,X9)
            | ~ rr(X2,X8) ) )
    | ? [X1] :
        ( xsd_string(X1)
      <~> ~ xsd_integer(X1) )
    | ? [X0] :
        ( cowlNothing(X0)
        | ~ cowlThing(X0) ) ),
    inference(flattening,[],[f52]) ).

fof(f57,plain,
    ! [X0] :
      ( ( ~ xsd_string(X0)
        | ~ xsd_integer(X0) )
      & ( xsd_integer(X0)
        | xsd_string(X0) ) ),
    inference(nnf_transformation,[],[f14]) ).

fof(f58,plain,
    ( ~ sP1
    | ? [X2] :
        ( sP0(X2)
        & ? [X3,X4] :
            ( X3 != X4
            & rp(X2,X4)
            & rp(X2,X3) )
        & ! [X8,X9,X10,X11,X12] :
            ( X11 = X12
            | X10 = X12
            | X10 = X11
            | X9 = X12
            | X9 = X11
            | X9 = X10
            | X8 = X12
            | X8 = X11
            | X8 = X10
            | X8 = X9
            | ~ rr(X2,X12)
            | ~ rr(X2,X11)
            | ~ rr(X2,X10)
            | ~ rr(X2,X9)
            | ~ rr(X2,X8) ) ) ),
    inference(nnf_transformation,[],[f55]) ).

fof(f59,plain,
    ( ~ sP1
    | ? [X0] :
        ( sP0(X0)
        & ? [X6,X7] :
            ( X6 != X7
            & rp(X0,X7)
            & rp(X0,X6) )
        & ! [X1,X2,X3,X4,X5] :
            ( X4 = X5
            | X3 = X5
            | X3 = X4
            | X2 = X5
            | X2 = X4
            | X2 = X3
            | X1 = X5
            | X1 = X4
            | X1 = X3
            | X1 = X2
            | ~ rr(X0,X5)
            | ~ rr(X0,X4)
            | ~ rr(X0,X3)
            | ~ rr(X0,X2)
            | ~ rr(X0,X1) ) ) ),
    inference(rectify,[],[f58]) ).

fof(f60,plain,
    ( ~ sP1
    | ( sP0(sK2)
      & sK3 != sK4
      & rp(sK2,sK4)
      & rp(sK2,sK3)
      & ! [X1,X2,X3,X4,X5] :
          ( X4 = X5
          | X3 = X5
          | X3 = X4
          | X2 = X5
          | X2 = X4
          | X2 = X3
          | X1 = X5
          | X1 = X4
          | X1 = X3
          | X1 = X2
          | ~ rr(sK2,X5)
          | ~ rr(sK2,X4)
          | ~ rr(sK2,X3)
          | ~ rr(sK2,X2)
          | ~ rr(sK2,X1) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X6,sK3),skolemize(X7,sK4)],[f59]) ).

fof(f64,plain,
    ( sP1
    | ? [X1] :
        ( ( xsd_string(X1)
          | ~ xsd_integer(X1) )
        & ( ~ xsd_string(X1)
          | xsd_integer(X1) ) )
    | ? [X0] :
        ( cowlNothing(X0)
        | ~ cowlThing(X0) ) ),
    inference(nnf_transformation,[],[f56]) ).

fof(f65,plain,
    ( sP1
    | ( ( xsd_string(sK9)
        | ~ xsd_integer(sK9) )
      & ( ~ xsd_string(sK9)
        | xsd_integer(sK9) ) )
    | cowlNothing(sK8)
    | ~ cowlThing(sK8) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X0,sK8),skolemize(X1,sK9)],[f64]) ).

fof(f78,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f13]) ).

fof(f79,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f13]) ).

fof(f80,plain,
    ! [X0] :
      ( ~ xsd_string(X0)
      | ~ xsd_integer(X0) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f81,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ~ rp(X0,X1)
      | cA(X1) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ~ rq(X0,X1)
      | cB(X1) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f84,plain,
    ! [X0] :
      ( ~ cA(X0)
      | ~ cB(X0) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ~ rq(X0,X1)
      | rr(X0,X1) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ~ rp(X0,X1)
      | rr(X0,X1) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f87,plain,
    ( ~ sP1
    | sP0(sK2) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f88,plain,
    ( ~ sP1
    | sK3 != sK4 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f89,plain,
    ( ~ sP1
    | rp(sK2,sK4) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f90,plain,
    ( ~ sP1
    | rp(sK2,sK3) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f91,plain,
    ! [X2,X3,X1,X4,X5] :
      ( ~ sP1
      | X4 = X5
      | X3 = X5
      | X3 = X4
      | X2 = X5
      | X2 = X4
      | X2 = X3
      | X1 = X5
      | X1 = X4
      | X1 = X3
      | X1 = X2
      | ~ rr(sK2,X5)
      | ~ rr(sK2,X4)
      | ~ rr(sK2,X3)
      | ~ rr(sK2,X2)
      | ~ rr(sK2,X1) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f98,plain,
    ( sP1
    | xsd_string(sK9)
    | ~ xsd_integer(sK9)
    | cowlNothing(sK8)
    | ~ cowlThing(sK8) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f99,plain,
    ( sP1
    | ~ xsd_string(sK9)
    | xsd_integer(sK9)
    | cowlNothing(sK8)
    | ~ cowlThing(sK8) ),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_49,plain,
    ! [X0: $i] : cowlThing(X0),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_50,plain,
    ! [X0: $i] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_51,plain,
    ! [X0: $i] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_52,plain,
    ! [X0: $i] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i] :
      ( cA(X1)
      | ~ rp(X0,X1) ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i] :
      ( cB(X1)
      | ~ rq(X0,X1) ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_55,plain,
    ! [X0: $i] :
      ( ~ cB(X0)
      | ~ cA(X0) ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i] :
      ( rr(X0,X1)
      | ~ rq(X0,X1) ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i] :
      ( rr(X0,X1)
      | ~ rp(X0,X1) ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( X3 = X4 )
      | ( X2 = X4 )
      | ( X2 = X3 )
      | ( X1 = X4 )
      | ( X1 = X3 )
      | ( X1 = X2 )
      | ( X0 = X4 )
      | ( X0 = X3 )
      | ( X0 = X2 )
      | ( X0 = X1 )
      | ~ sP1
      | ~ rr(sK2,X4)
      | ~ rr(sK2,X3)
      | ~ rr(sK2,X2)
      | ~ rr(sK2,X1)
      | ~ rr(sK2,X0) ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_59,plain,
    ( rp(sK2,sK3)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_60,plain,
    ( rp(sK2,sK4)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_61,plain,
    ( ~ sP1
    | ( sK3 != sK4 ) ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_62,plain,
    ( sP0(sK2)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_69,negated_conjecture,
    ( sP1
    | xsd_integer(sK9)
    | cowlNothing(sK8)
    | ~ xsd_string(sK9)
    | ~ cowlThing(sK8) ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_70,negated_conjecture,
    ( sP1
    | xsd_string(sK9)
    | cowlNothing(sK8)
    | ~ xsd_integer(sK9)
    | ~ cowlThing(sK8) ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_87,plain,
    ! [X0: $i] :
      ( ~ xsd_string(X0)
      | ~ xsd_integer(X0) ),
    inference(prop_impl_just,[status(thm)],[c_52]) ).

tcf(c_88,plain,
    ! [X0: $i] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(renaming,[status(thm)],[c_87]) ).

tcf(c_89,plain,
    ! [X0: $i] :
      ( xsd_string(X0)
      | xsd_integer(X0) ),
    inference(prop_impl_just,[status(thm)],[c_51]) ).

tcf(c_90,plain,
    ! [X0: $i] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(renaming,[status(thm)],[c_89]) ).

tcf(c_91,plain,
    ! [X0: $i,X1: $i] :
      ( cA(X1)
      | ~ rp(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_53]) ).

tcf(c_93,plain,
    ! [X0: $i,X1: $i] :
      ( rr(X0,X1)
      | ~ rp(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_57]) ).

tcf(c_95,plain,
    ! [X0: $i,X1: $i] :
      ( cB(X1)
      | ~ rq(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_54]) ).

tcf(c_97,plain,
    ! [X0: $i,X1: $i] :
      ( rr(X0,X1)
      | ~ rq(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_56]) ).

tcf(c_99,plain,
    ! [X0: $i] :
      ( ~ cA(X0)
      | ~ cB(X0) ),
    inference(prop_impl_just,[status(thm)],[c_55]) ).

tcf(c_100,plain,
    ! [X0: $i] :
      ( ~ cB(X0)
      | ~ cA(X0) ),
    inference(renaming,[status(thm)],[c_99]) ).

tcf(c_103,plain,
    ( rp(sK2,sK3)
    | ~ sP1 ),
    inference(prop_impl_just,[status(thm)],[c_59]) ).

tcf(c_105,plain,
    ( rp(sK2,sK4)
    | ~ sP1 ),
    inference(prop_impl_just,[status(thm)],[c_60]) ).

tcf(c_107,plain,
    ( ( sK3 != sK4 )
    | ~ sP1 ),
    inference(prop_impl_just,[status(thm)],[c_61]) ).

tcf(c_108,plain,
    ( ~ sP1
    | ( sK3 != sK4 ) ),
    inference(renaming,[status(thm)],[c_107]) ).

tcf(c_109,plain,
    ( sP0(sK2)
    | ~ sP1 ),
    inference(prop_impl_just,[status(thm)],[c_62]) ).

tcf(c_202,plain,
    ( sP1
    | xsd_string(sK9)
    | cowlNothing(sK8)
    | ~ xsd_integer(sK9) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_70,c_49]) ).

tcf(c_203,plain,
    ( sP1
    | xsd_integer(sK9)
    | cowlNothing(sK8)
    | ~ xsd_string(sK9) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_69,c_49]) ).

tcf(c_206,plain,
    ( sP1
    | xsd_integer(sK9)
    | ~ xsd_string(sK9) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_203,c_50]) ).

tcf(c_207,plain,
    ( sP1
    | xsd_string(sK9)
    | ~ xsd_integer(sK9) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_202,c_50]) ).

tcf(c_211,plain,
    ( sP1
    | xsd_integer(sK9) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_206,c_90]) ).

tcf(c_213,plain,
    ( sP1
    | xsd_string(sK9) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_207,c_90]) ).

tcf(c_433,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ cB(X1)
      | ~ rp(X2,X0)
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_91,c_100]) ).

tcf(c_434,plain,
    ! [X0: $i,X1: $i] :
      ( ~ cB(X1)
      | ~ rp(X0,X1) ),
    inference(unflattening,[status(thm)],[c_433]) ).

tcf(c_444,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ rq(X3,X0)
      | ~ rp(X2,X1)
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_95,c_434]) ).

tcf(c_445,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ rq(X2,X1)
      | ~ rp(X0,X1) ),
    inference(unflattening,[status(thm)],[c_444]) ).

tcf(c_457,plain,
    ! [X0: $i] :
      ( sP1
      | ~ xsd_integer(X0)
      | ( X0 != sK9 ) ),
    inference(resolution_lifted,[status(thm)],[c_88,c_213]) ).

tcf(c_458,plain,
    ( sP1
    | ~ xsd_integer(sK9) ),
    inference(unflattening,[status(thm)],[c_457]) ).

tcf(c_459,plain,
    sP1,
    inference(global_subsumption_just,[status(thm)],[c_458,c_211,c_458]) ).

tcf(c_465,plain,
    rp(sK2,sK4),
    inference(backward_subsumption_resolution,[status(thm)],[c_105,c_459]) ).

tcf(c_466,plain,
    sK3 != sK4,
    inference(backward_subsumption_resolution,[status(thm)],[c_108,c_459]) ).

tcf(c_467,plain,
    rp(sK2,sK3),
    inference(backward_subsumption_resolution,[status(thm)],[c_103,c_459]) ).

tcf(c_468,plain,
    sP0(sK2),
    inference(backward_subsumption_resolution,[status(thm)],[c_109,c_459]) ).

tcf(c_469,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ rq(X2,X1)
      | ( X1 != sK3 )
      | ( X0 != sK2 ) ),
    inference(resolution_lifted,[status(thm)],[c_445,c_467]) ).

tcf(c_470,plain,
    ! [X0: $i] : ~ rq(X0,sK3),
    inference(unflattening,[status(thm)],[c_469]) ).

tcf(c_475,plain,
    ! [X0: $i,X1: $i] :
      ( rr(X0,X1)
      | ( X1 != sK3 )
      | ( X0 != sK2 ) ),
    inference(resolution_lifted,[status(thm)],[c_93,c_467]) ).

tcf(c_476,plain,
    rr(sK2,sK3),
    inference(unflattening,[status(thm)],[c_475]) ).

tcf(c_480,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ rq(X2,X1)
      | ( X1 != sK4 )
      | ( X0 != sK2 ) ),
    inference(resolution_lifted,[status(thm)],[c_445,c_465]) ).

tcf(c_481,plain,
    ! [X0: $i] : ~ rq(X0,sK4),
    inference(unflattening,[status(thm)],[c_480]) ).

tcf(c_486,plain,
    ! [X0: $i,X1: $i] :
      ( rr(X0,X1)
      | ( X1 != sK4 )
      | ( X0 != sK2 ) ),
    inference(resolution_lifted,[status(thm)],[c_93,c_465]) ).

tcf(c_487,plain,
    rr(sK2,sK4),
    inference(unflattening,[status(thm)],[c_486]) ).

tcf(c_585,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( X3 = X4 )
      | ( X2 = X4 )
      | ( X2 = X3 )
      | ( X1 = X4 )
      | ( X1 = X3 )
      | ( X1 = X2 )
      | ( X0 = X4 )
      | ( X0 = X3 )
      | ( X0 = X2 )
      | ( X0 = X1 )
      | ~ rr(sK2,X4)
      | ~ rr(sK2,X3)
      | ~ rr(sK2,X2)
      | ~ rr(sK2,X1)
      | ~ rr(sK2,X0) ),
    inference(resolution,[status(thm)],[c_459,c_58]) ).

tcf(c_714,definition,
    iPr_def_10 = sK5(sK2),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_715,definition,
    iPr_def_11 = sK6(sK2),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_716,definition,
    iPr_def_12 = sK7(sK2),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_717,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( X3 = X4 )
      | ( X2 = X4 )
      | ( X2 = X3 )
      | ( X1 = X4 )
      | ( X1 = X3 )
      | ( X1 = X2 )
      | ( X0 = X4 )
      | ( X0 = X3 )
      | ( X0 = X2 )
      | ( X0 = X1 )
      | ~ rr(sK2,X4)
      | ~ rr(sK2,X3)
      | ~ rr(sK2,X2)
      | ~ rr(sK2,X1)
      | ~ rr(sK2,X0) ),
    inference(demodulation,[status(thm)],[c_585]) ).

tcf(c_730,plain,
    rr(sK2,sK4),
    inference(demodulation,[status(thm)],[c_487]) ).

tcf(c_731,plain,
    rr(sK2,sK3),
    inference(demodulation,[status(thm)],[c_476]) ).

tcf(c_732,plain,
    sK3 != sK4,
    inference(demodulation,[status(thm)],[c_466]) ).

tcf(c_950,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X3 = sK4 )
      | ( X2 = sK4 )
      | ( X2 = X3 )
      | ( X1 = sK4 )
      | ( X1 = X3 )
      | ( X1 = X2 )
      | ( X0 = sK4 )
      | ( X0 = X3 )
      | ( X0 = X2 )
      | ( X0 = X1 )
      | ~ rr(sK2,X3)
      | ~ rr(sK2,X2)
      | ~ rr(sK2,X1)
      | ~ rr(sK2,X0) ),
    inference(superposition,[status(thm)],[c_730,c_717]) ).

tcf(c_1008,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK3 = sK4 )
      | ( X2 = sK4 )
      | ( X2 = sK3 )
      | ( X1 = sK4 )
      | ( X1 = sK3 )
      | ( X1 = X2 )
      | ( X0 = sK4 )
      | ( X0 = sK3 )
      | ( X0 = X2 )
      | ( X0 = X1 )
      | ~ rr(sK2,X2)
      | ~ rr(sK2,X1)
      | ~ rr(sK2,X0) ),
    inference(superposition,[status(thm)],[c_731,c_950]) ).

tcf(c_1010,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2 = sK4 )
      | ( X2 = sK3 )
      | ( X1 = sK4 )
      | ( X1 = sK3 )
      | ( X1 = X2 )
      | ( X0 = sK4 )
      | ( X0 = sK3 )
      | ( X0 = X2 )
      | ( X0 = X1 )
      | ~ rr(sK2,X2)
      | ~ rr(sK2,X1)
      | ~ rr(sK2,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1008,c_732]) ).

fof(f54,definition,
    ! [X2] :
      ( ~ sP0(X2)
      | ? [X5,X6,X7] :
          ( X6 != X7
          & X5 != X7
          & X5 != X6
          & rq(X2,X7)
          & rq(X2,X6)
          & rq(X2,X5) ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f55,definition,
    ( ~ sP1
    | ? [X2] :
        ( sP0(X2)
        & ? [X3,X4] :
            ( X3 != X4
            & rp(X2,X4)
            & rp(X2,X3) )
        & ! [X8,X9,X10,X11,X12] :
            ( X11 = X12
            | X10 = X12
            | X10 = X11
            | X9 = X12
            | X9 = X11
            | X9 = X10
            | X8 = X12
            | X8 = X11
            | X8 = X10
            | X8 = X9
            | ~ rr(X2,X12)
            | ~ rr(X2,X11)
            | ~ rr(X2,X10)
            | ~ rr(X2,X9)
            | ~ rr(X2,X8) ) ) ),
    introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).

fof(f56,plain,
    ( sP1
    | ? [X1] :
        ( xsd_string(X1)
      <~> ~ xsd_integer(X1) )
    | ? [X0] :
        ( cowlNothing(X0)
        | ~ cowlThing(X0) ) ),
    inference(definition_folding,[],[f53,f55,f54]) ).

fof(f61,plain,
    ! [X2] :
      ( ~ sP0(X2)
      | ? [X5,X6,X7] :
          ( X6 != X7
          & X5 != X7
          & X5 != X6
          & rq(X2,X7)
          & rq(X2,X6)
          & rq(X2,X5) ) ),
    inference(nnf_transformation,[],[f54]) ).

fof(f62,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | ? [X1,X2,X3] :
          ( X2 != X3
          & X1 != X3
          & X1 != X2
          & rq(X0,X3)
          & rq(X0,X2)
          & rq(X0,X1) ) ),
    inference(rectify,[],[f61]) ).

fof(f63,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | ( sK6(X0) != sK7(X0)
        & sK5(X0) != sK7(X0)
        & sK5(X0) != sK6(X0)
        & rq(X0,sK7(X0))
        & rq(X0,sK6(X0))
        & rq(X0,sK5(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7]),skolemize(X1,sK5(X0)),skolemize(X2,sK6(X0)),skolemize(X3,sK7(X0))],[f62]) ).

fof(f92,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | sK6(X0) != sK7(X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f93,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | sK5(X0) != sK7(X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f94,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | sK5(X0) != sK6(X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f95,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | rq(X0,sK7(X0)) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f96,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | rq(X0,sK6(X0)) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f97,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | rq(X0,sK5(X0)) ),
    inference(cnf_transformation,[],[f63]) ).

tcf(c_63,plain,
    ! [X0: $i] :
      ( rq(X0,sK5(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f97]) ).

tcf(c_64,plain,
    ! [X0: $i] :
      ( rq(X0,sK6(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_65,plain,
    ! [X0: $i] :
      ( rq(X0,sK7(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_66,plain,
    ! [X0: $i] :
      ( ~ sP0(X0)
      | ( sK5(X0) != sK6(X0) ) ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_67,plain,
    ! [X0: $i] :
      ( ~ sP0(X0)
      | ( sK5(X0) != sK7(X0) ) ),
    inference(cnf_transformation,[],[f93]) ).

tcf(c_68,plain,
    ! [X0: $i] :
      ( ~ sP0(X0)
      | ( sK6(X0) != sK7(X0) ) ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_113,plain,
    ! [X0: $i] :
      ( rq(X0,sK5(X0))
      | ~ sP0(X0) ),
    inference(prop_impl_just,[status(thm)],[c_63]) ).

tcf(c_115,plain,
    ! [X0: $i] :
      ( rq(X0,sK6(X0))
      | ~ sP0(X0) ),
    inference(prop_impl_just,[status(thm)],[c_64]) ).

tcf(c_117,plain,
    ! [X0: $i] :
      ( rq(X0,sK7(X0))
      | ~ sP0(X0) ),
    inference(prop_impl_just,[status(thm)],[c_65]) ).

tcf(c_119,plain,
    ! [X0: $i] :
      ( ( sK5(X0) != sK6(X0) )
      | ~ sP0(X0) ),
    inference(prop_impl_just,[status(thm)],[c_66]) ).

tcf(c_120,plain,
    ! [X0: $i] :
      ( ~ sP0(X0)
      | ( sK5(X0) != sK6(X0) ) ),
    inference(renaming,[status(thm)],[c_119]) ).

tcf(c_121,plain,
    ! [X0: $i] :
      ( ( sK5(X0) != sK7(X0) )
      | ~ sP0(X0) ),
    inference(prop_impl_just,[status(thm)],[c_67]) ).

tcf(c_122,plain,
    ! [X0: $i] :
      ( ~ sP0(X0)
      | ( sK5(X0) != sK7(X0) ) ),
    inference(renaming,[status(thm)],[c_121]) ).

tcf(c_123,plain,
    ! [X0: $i] :
      ( ( sK6(X0) != sK7(X0) )
      | ~ sP0(X0) ),
    inference(prop_impl_just,[status(thm)],[c_68]) ).

tcf(c_124,plain,
    ! [X0: $i] :
      ( ~ sP0(X0)
      | ( sK6(X0) != sK7(X0) ) ),
    inference(renaming,[status(thm)],[c_123]) ).

tcf(c_495,plain,
    ! [X0: $i] :
      ( ( X0 != sK2 )
      | ( sK6(X0) != sK7(X0) ) ),
    inference(resolution_lifted,[status(thm)],[c_468,c_124]) ).

tcf(c_496,plain,
    sK6(sK2) != sK7(sK2),
    inference(unflattening,[status(thm)],[c_495]) ).

tcf(c_500,plain,
    ! [X0: $i] :
      ( ( X0 != sK2 )
      | ( sK5(X0) != sK7(X0) ) ),
    inference(resolution_lifted,[status(thm)],[c_468,c_122]) ).

tcf(c_501,plain,
    sK5(sK2) != sK7(sK2),
    inference(unflattening,[status(thm)],[c_500]) ).

tcf(c_505,plain,
    ! [X0: $i] :
      ( ( X0 != sK2 )
      | ( sK5(X0) != sK6(X0) ) ),
    inference(resolution_lifted,[status(thm)],[c_468,c_120]) ).

tcf(c_506,plain,
    sK5(sK2) != sK6(sK2),
    inference(unflattening,[status(thm)],[c_505]) ).

tcf(c_510,plain,
    ! [X0: $i] :
      ( rq(X0,sK7(X0))
      | ( X0 != sK2 ) ),
    inference(resolution_lifted,[status(thm)],[c_468,c_117]) ).

tcf(c_511,plain,
    rq(sK2,sK7(sK2)),
    inference(unflattening,[status(thm)],[c_510]) ).

tcf(c_515,plain,
    ! [X0: $i] :
      ( rq(X0,sK6(X0))
      | ( X0 != sK2 ) ),
    inference(resolution_lifted,[status(thm)],[c_468,c_115]) ).

tcf(c_516,plain,
    rq(sK2,sK6(sK2)),
    inference(unflattening,[status(thm)],[c_515]) ).

tcf(c_520,plain,
    ! [X0: $i] :
      ( rq(X0,sK5(X0))
      | ( X0 != sK2 ) ),
    inference(resolution_lifted,[status(thm)],[c_468,c_113]) ).

tcf(c_521,plain,
    rq(sK2,sK5(sK2)),
    inference(unflattening,[status(thm)],[c_520]) ).

tcf(c_531,plain,
    ! [X0: $i,X1: $i] :
      ( rr(X0,X1)
      | ( X0 != sK2 )
      | ( sK7(sK2) != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_97,c_511]) ).

tcf(c_532,plain,
    rr(sK2,sK7(sK2)),
    inference(unflattening,[status(thm)],[c_531]) ).

tcf(c_536,plain,
    ! [X0: $i,X1: $i] :
      ( rr(X0,X1)
      | ( X0 != sK2 )
      | ( sK6(sK2) != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_97,c_516]) ).

tcf(c_537,plain,
    rr(sK2,sK6(sK2)),
    inference(unflattening,[status(thm)],[c_536]) ).

tcf(c_541,plain,
    ! [X0: $i,X1: $i] :
      ( rr(X0,X1)
      | ( X0 != sK2 )
      | ( sK5(sK2) != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_97,c_521]) ).

tcf(c_542,plain,
    rr(sK2,sK5(sK2)),
    inference(unflattening,[status(thm)],[c_541]) ).

tcf(c_546,plain,
    ! [X0: $i] :
      ( ( X0 != sK2 )
      | ( sK7(sK2) != sK3 ) ),
    inference(resolution_lifted,[status(thm)],[c_511,c_470]) ).

tcf(c_547,plain,
    sK7(sK2) != sK3,
    inference(unflattening,[status(thm)],[c_546]) ).

tcf(c_551,plain,
    ! [X0: $i] :
      ( ( X0 != sK2 )
      | ( sK7(sK2) != sK4 ) ),
    inference(resolution_lifted,[status(thm)],[c_511,c_481]) ).

tcf(c_552,plain,
    sK7(sK2) != sK4,
    inference(unflattening,[status(thm)],[c_551]) ).

tcf(c_556,plain,
    ! [X0: $i] :
      ( ( X0 != sK2 )
      | ( sK6(sK2) != sK3 ) ),
    inference(resolution_lifted,[status(thm)],[c_516,c_470]) ).

tcf(c_557,plain,
    sK6(sK2) != sK3,
    inference(unflattening,[status(thm)],[c_556]) ).

tcf(c_561,plain,
    ! [X0: $i] :
      ( ( X0 != sK2 )
      | ( sK6(sK2) != sK4 ) ),
    inference(resolution_lifted,[status(thm)],[c_516,c_481]) ).

tcf(c_562,plain,
    sK6(sK2) != sK4,
    inference(unflattening,[status(thm)],[c_561]) ).

tcf(c_566,plain,
    ! [X0: $i] :
      ( ( X0 != sK2 )
      | ( sK5(sK2) != sK3 ) ),
    inference(resolution_lifted,[status(thm)],[c_521,c_470]) ).

tcf(c_567,plain,
    sK5(sK2) != sK3,
    inference(unflattening,[status(thm)],[c_566]) ).

tcf(c_571,plain,
    ! [X0: $i] :
      ( ( X0 != sK2 )
      | ( sK5(sK2) != sK4 ) ),
    inference(resolution_lifted,[status(thm)],[c_521,c_481]) ).

tcf(c_572,plain,
    sK5(sK2) != sK4,
    inference(unflattening,[status(thm)],[c_571]) ).

tcf(c_718,plain,
    iPr_def_10 != sK4,
    inference(demodulation,[status(thm)],[c_572,c_714]) ).

tcf(c_719,plain,
    iPr_def_10 != sK3,
    inference(demodulation,[status(thm)],[c_567]) ).

tcf(c_720,plain,
    iPr_def_11 != sK4,
    inference(demodulation,[status(thm)],[c_562,c_715]) ).

tcf(c_721,plain,
    iPr_def_11 != sK3,
    inference(demodulation,[status(thm)],[c_557]) ).

tcf(c_722,plain,
    iPr_def_12 != sK4,
    inference(demodulation,[status(thm)],[c_552,c_716]) ).

tcf(c_723,plain,
    iPr_def_12 != sK3,
    inference(demodulation,[status(thm)],[c_547]) ).

tcf(c_724,plain,
    rr(sK2,iPr_def_10),
    inference(demodulation,[status(thm)],[c_542]) ).

tcf(c_725,plain,
    rr(sK2,iPr_def_11),
    inference(demodulation,[status(thm)],[c_537]) ).

tcf(c_726,plain,
    rr(sK2,iPr_def_12),
    inference(demodulation,[status(thm)],[c_532]) ).

tcf(c_727,plain,
    iPr_def_10 != iPr_def_11,
    inference(demodulation,[status(thm)],[c_506]) ).

tcf(c_728,plain,
    iPr_def_10 != iPr_def_12,
    inference(demodulation,[status(thm)],[c_501]) ).

tcf(c_729,plain,
    iPr_def_11 != iPr_def_12,
    inference(demodulation,[status(thm)],[c_496]) ).

tcf(c_1136,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK4 = iPr_def_10 )
      | ( sK3 = iPr_def_10 )
      | ( X1 = iPr_def_10 )
      | ( X1 = sK4 )
      | ( X1 = sK3 )
      | ( X0 = iPr_def_10 )
      | ( X0 = sK4 )
      | ( X0 = sK3 )
      | ( X0 = X1 )
      | ~ rr(sK2,X1)
      | ~ rr(sK2,X0) ),
    inference(superposition,[status(thm)],[c_724,c_1010]) ).

tcf(c_1464,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_12 )
      | ( sK4 = iPr_def_12 )
      | ( sK4 = iPr_def_10 )
      | ( sK3 = iPr_def_12 )
      | ( sK3 = iPr_def_10 )
      | ( X0 = iPr_def_12 )
      | ( X0 = iPr_def_10 )
      | ( X0 = sK4 )
      | ( X0 = sK3 )
      | ~ rr(sK2,X0) ),
    inference(superposition,[status(thm)],[c_726,c_1136]) ).

tcf(c_1465,plain,
    ! [X0: $i] :
      ( ( sK4 = iPr_def_12 )
      | ( sK4 = iPr_def_10 )
      | ( sK3 = iPr_def_12 )
      | ( sK3 = iPr_def_10 )
      | ( X0 = iPr_def_12 )
      | ( X0 = iPr_def_10 )
      | ( X0 = sK4 )
      | ( X0 = sK3 )
      | ~ rr(sK2,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1464,c_728]) ).

tcf(c_1508,plain,
    ( ( iPr_def_11 = iPr_def_12 )
    | ( iPr_def_10 = iPr_def_11 )
    | ( sK4 = iPr_def_12 )
    | ( sK4 = iPr_def_11 )
    | ( sK4 = iPr_def_10 )
    | ( sK3 = iPr_def_12 )
    | ( sK3 = iPr_def_11 )
    | ( sK3 = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_725,c_1465]) ).

tcf(c_1510,plain,
    ( ( sK4 = iPr_def_12 )
    | ( sK4 = iPr_def_11 )
    | ( sK4 = iPr_def_10 )
    | ( sK3 = iPr_def_12 )
    | ( sK3 = iPr_def_11 )
    | ( sK3 = iPr_def_10 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1508,c_729,c_727]) ).

tcf(c_1529,plain,
    ( ( sK4 = iPr_def_11 )
    | ( sK4 = iPr_def_10 )
    | ( sK3 = iPr_def_12 )
    | ( sK3 = iPr_def_11 )
    | ( sK3 = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_1510,c_722]) ).

tcf(c_1573,plain,
    ( ( sK4 = iPr_def_10 )
    | ( sK3 = iPr_def_12 )
    | ( sK3 = iPr_def_11 )
    | ( sK3 = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_1529,c_720]) ).

tcf(c_1591,plain,
    ( ( sK3 = iPr_def_12 )
    | ( sK3 = iPr_def_11 )
    | ( sK3 = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_1573,c_718]) ).

tcf(c_1603,plain,
    ( ( sK3 = iPr_def_11 )
    | ( sK3 = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_1591,c_723]) ).

tcf(c_1614,plain,
    sK3 = iPr_def_10,
    inference(superposition,[status(thm)],[c_1603,c_721]) ).

tcf(c_1621,plain,
    iPr_def_10 != iPr_def_10,
    inference(demodulation,[status(thm)],[c_719,c_1614]) ).

tcf(c_1637,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_1621]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : KRS162+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37  % Computer : n011.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Wed Sep 23 19:33:43 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  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
% 0.11/0.42  
% 0.11/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42  
% 0.11/0.42  % Detected problem language: tptp
% 0.11/0.43  % Proving...
% 1.93/1.28  % SZS status Started for theBenchmark.p
% 1.93/1.28  % SZS status Theorem for theBenchmark.p
% 1.93/1.28  
% 1.93/1.28  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.93/1.28  
% 1.93/1.28  % ------  iProver source info
% 1.93/1.28  
% 1.93/1.28  % git: date: 2026-07-19 20:42:38 +0200
% 1.93/1.28  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.93/1.28  % git: non_committed_changes: false
% 1.93/1.28  
% 1.93/1.28  % ------ Parsing...
% 1.93/1.28  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 1.93/1.28  
% 1.93/1.28  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e  sup_sim: 0  sf_s  rm: 6 0s  sf_e  pe_s  pe_e % 
% 1.93/1.28  
% 1.93/1.28  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 1.93/1.28  
% 1.93/1.28  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.93/1.28  % ------ Proving...
% 1.93/1.28  % ------ Problem Properties 
% 1.93/1.28  
% 1.93/1.28  % 
% 1.93/1.28  % clauses                               19
% 1.93/1.28  % conjectures                           0
% 1.93/1.28  % EPR                                   16
% 1.93/1.28  % Horn                                  18
% 1.93/1.28  % unary                                 18
% 1.93/1.28  % binary                                0
% 1.93/1.28  % lits                                  33
% 1.93/1.28  % lits eq                               23
% 1.93/1.28  % fd_pure                               0
% 1.93/1.28  % fd_pseudo                             0
% 1.93/1.28  % fd_cond                               0
% 1.93/1.28  % fd_pseudo_cond                        1
% 1.93/1.28  % AC symbols                            0
% 1.93/1.28  
% 1.93/1.28  % ------ Schedule dynamic 5 is on 
% 1.93/1.28  
% 1.93/1.28  % ------ no conjectures: strip conj schedule 
% 1.93/1.28  
% 1.93/1.28  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.93/1.28  
% 1.93/1.28  
% 1.93/1.28  % ------ 
% 1.93/1.28  % Current options:
% 1.93/1.28  % ------ 
% 1.93/1.28  
% 1.93/1.28  
% 1.93/1.28  % 
% 1.93/1.28  
% 1.93/1.28  % ------ Proving...
% 1.93/1.28  % 
% 1.93/1.28  
% 1.93/1.28  % SZS status Theorem for theBenchmark.p
% 1.93/1.28  
% 1.93/1.28  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.93/1.28  
% 1.93/1.28  
%------------------------------------------------------------------------------