TSTP Solution File: SEU251+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SEU251+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 17:05:12 EDT 2023

% Result   : Theorem 32.41s 5.24s
% Output   : CNFRefutation 32.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   70 (  10 unt;   0 def)
%            Number of atoms       :  268 (  69 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  339 ( 141   ~; 137   |;  44   &)
%                                         (   8 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   3 con; 0-3 aty)
%            Number of variables   :  157 (   2 sgn; 110   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1,X2] :
          ( fiber(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ( in(ordered_pair(X3,X1),X0)
                & X1 != X3 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_wellord1) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

fof(f8,axiom,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).

fof(f15,axiom,
    ! [X0,X1] :
      ( relation(X0)
     => relation(relation_restriction(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_wellord1) ).

fof(f30,axiom,
    ! [X0,X1,X2] :
      ( relation(X2)
     => ( in(X0,relation_restriction(X2,X1))
      <=> ( in(X0,cartesian_product2(X1,X1))
          & in(X0,X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_wellord1) ).

fof(f32,conjecture,
    ! [X0,X1,X2] :
      ( relation(X2)
     => subset(fiber(relation_restriction(X2,X0),X1),fiber(X2,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_wellord1) ).

fof(f33,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( relation(X2)
       => subset(fiber(relation_restriction(X2,X0),X1),fiber(X2,X1)) ),
    inference(negated_conjecture,[],[f32]) ).

fof(f50,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( fiber(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ( in(ordered_pair(X3,X1),X0)
                & X1 != X3 ) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( relation(relation_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f54,plain,
    ! [X0,X1,X2] :
      ( ( in(X0,relation_restriction(X2,X1))
      <=> ( in(X0,cartesian_product2(X1,X1))
          & in(X0,X2) ) )
      | ~ relation(X2) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f56,plain,
    ? [X0,X1,X2] :
      ( ~ subset(fiber(relation_restriction(X2,X0),X1),fiber(X2,X1))
      & relation(X2) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f65,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( fiber(X0,X1) = X2
            | ? [X3] :
                ( ( ~ in(ordered_pair(X3,X1),X0)
                  | X1 = X3
                  | ~ in(X3,X2) )
                & ( ( in(ordered_pair(X3,X1),X0)
                    & X1 != X3 )
                  | in(X3,X2) ) ) )
          & ( ! [X3] :
                ( ( in(X3,X2)
                  | ~ in(ordered_pair(X3,X1),X0)
                  | X1 = X3 )
                & ( ( in(ordered_pair(X3,X1),X0)
                    & X1 != X3 )
                  | ~ in(X3,X2) ) )
            | fiber(X0,X1) != X2 ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f50]) ).

fof(f66,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( fiber(X0,X1) = X2
            | ? [X3] :
                ( ( ~ in(ordered_pair(X3,X1),X0)
                  | X1 = X3
                  | ~ in(X3,X2) )
                & ( ( in(ordered_pair(X3,X1),X0)
                    & X1 != X3 )
                  | in(X3,X2) ) ) )
          & ( ! [X3] :
                ( ( in(X3,X2)
                  | ~ in(ordered_pair(X3,X1),X0)
                  | X1 = X3 )
                & ( ( in(ordered_pair(X3,X1),X0)
                    & X1 != X3 )
                  | ~ in(X3,X2) ) )
            | fiber(X0,X1) != X2 ) )
      | ~ relation(X0) ),
    inference(flattening,[],[f65]) ).

fof(f67,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( fiber(X0,X1) = X2
            | ? [X3] :
                ( ( ~ in(ordered_pair(X3,X1),X0)
                  | X1 = X3
                  | ~ in(X3,X2) )
                & ( ( in(ordered_pair(X3,X1),X0)
                    & X1 != X3 )
                  | in(X3,X2) ) ) )
          & ( ! [X4] :
                ( ( in(X4,X2)
                  | ~ in(ordered_pair(X4,X1),X0)
                  | X1 = X4 )
                & ( ( in(ordered_pair(X4,X1),X0)
                    & X1 != X4 )
                  | ~ in(X4,X2) ) )
            | fiber(X0,X1) != X2 ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f66]) ).

fof(f68,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ~ in(ordered_pair(X3,X1),X0)
            | X1 = X3
            | ~ in(X3,X2) )
          & ( ( in(ordered_pair(X3,X1),X0)
              & X1 != X3 )
            | in(X3,X2) ) )
     => ( ( ~ in(ordered_pair(sK0(X0,X1,X2),X1),X0)
          | sK0(X0,X1,X2) = X1
          | ~ in(sK0(X0,X1,X2),X2) )
        & ( ( in(ordered_pair(sK0(X0,X1,X2),X1),X0)
            & sK0(X0,X1,X2) != X1 )
          | in(sK0(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f69,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( fiber(X0,X1) = X2
            | ( ( ~ in(ordered_pair(sK0(X0,X1,X2),X1),X0)
                | sK0(X0,X1,X2) = X1
                | ~ in(sK0(X0,X1,X2),X2) )
              & ( ( in(ordered_pair(sK0(X0,X1,X2),X1),X0)
                  & sK0(X0,X1,X2) != X1 )
                | in(sK0(X0,X1,X2),X2) ) ) )
          & ( ! [X4] :
                ( ( in(X4,X2)
                  | ~ in(ordered_pair(X4,X1),X0)
                  | X1 = X4 )
                & ( ( in(ordered_pair(X4,X1),X0)
                    & X1 != X4 )
                  | ~ in(X4,X2) ) )
            | fiber(X0,X1) != X2 ) )
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f67,f68]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X2] :
            ( in(X2,X1)
            | ~ in(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f51]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f70]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ in(X2,X1)
          & in(X2,X0) )
     => ( ~ in(sK1(X0,X1),X1)
        & in(sK1(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ in(sK1(X0,X1),X1)
          & in(sK1(X0,X1),X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f71,f72]) ).

fof(f86,plain,
    ! [X0,X1,X2] :
      ( ( ( in(X0,relation_restriction(X2,X1))
          | ~ in(X0,cartesian_product2(X1,X1))
          | ~ in(X0,X2) )
        & ( ( in(X0,cartesian_product2(X1,X1))
            & in(X0,X2) )
          | ~ in(X0,relation_restriction(X2,X1)) ) )
      | ~ relation(X2) ),
    inference(nnf_transformation,[],[f54]) ).

fof(f87,plain,
    ! [X0,X1,X2] :
      ( ( ( in(X0,relation_restriction(X2,X1))
          | ~ in(X0,cartesian_product2(X1,X1))
          | ~ in(X0,X2) )
        & ( ( in(X0,cartesian_product2(X1,X1))
            & in(X0,X2) )
          | ~ in(X0,relation_restriction(X2,X1)) ) )
      | ~ relation(X2) ),
    inference(flattening,[],[f86]) ).

fof(f88,plain,
    ( ? [X0,X1,X2] :
        ( ~ subset(fiber(relation_restriction(X2,X0),X1),fiber(X2,X1))
        & relation(X2) )
   => ( ~ subset(fiber(relation_restriction(sK10,sK8),sK9),fiber(sK10,sK9))
      & relation(sK10) ) ),
    introduced(choice_axiom,[]) ).

fof(f89,plain,
    ( ~ subset(fiber(relation_restriction(sK10,sK8),sK9),fiber(sK10,sK9))
    & relation(sK10) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f56,f88]) ).

fof(f97,plain,
    ! [X2,X0,X1,X4] :
      ( X1 != X4
      | ~ in(X4,X2)
      | fiber(X0,X1) != X2
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f98,plain,
    ! [X2,X0,X1,X4] :
      ( in(ordered_pair(X4,X1),X0)
      | ~ in(X4,X2)
      | fiber(X0,X1) != X2
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f99,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | ~ in(ordered_pair(X4,X1),X0)
      | X1 = X4
      | fiber(X0,X1) != X2
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | in(sK1(X0,X1),X0) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ in(sK1(X0,X1),X1) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f106,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    inference(cnf_transformation,[],[f8]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( relation(relation_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f123,plain,
    ! [X2,X0,X1] :
      ( in(X0,X2)
      | ~ in(X0,relation_restriction(X2,X1))
      | ~ relation(X2) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f127,plain,
    relation(sK10),
    inference(cnf_transformation,[],[f89]) ).

fof(f128,plain,
    ~ subset(fiber(relation_restriction(sK10,sK8),sK9),fiber(sK10,sK9)),
    inference(cnf_transformation,[],[f89]) ).

fof(f140,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),X0)
      | X1 = X4
      | fiber(X0,X1) != X2
      | ~ relation(X0) ),
    inference(definition_unfolding,[],[f99,f106]) ).

fof(f141,plain,
    ! [X2,X0,X1,X4] :
      ( in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),X0)
      | ~ in(X4,X2)
      | fiber(X0,X1) != X2
      | ~ relation(X0) ),
    inference(definition_unfolding,[],[f98,f106]) ).

fof(f143,plain,
    ! [X0,X1,X4] :
      ( in(X4,fiber(X0,X1))
      | ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),X0)
      | X1 = X4
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f140]) ).

fof(f144,plain,
    ! [X0,X1,X4] :
      ( in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),X0)
      | ~ in(X4,fiber(X0,X1))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f141]) ).

fof(f145,plain,
    ! [X2,X0,X4] :
      ( ~ in(X4,X2)
      | fiber(X0,X4) != X2
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f97]) ).

fof(f146,plain,
    ! [X0,X4] :
      ( ~ in(X4,fiber(X0,X4))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f145]) ).

cnf(c_56,plain,
    ( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
    | ~ relation(X2)
    | X0 = X1
    | in(X0,fiber(X2,X1)) ),
    inference(cnf_transformation,[],[f143]) ).

cnf(c_57,plain,
    ( ~ in(X0,fiber(X1,X2))
    | ~ relation(X1)
    | in(unordered_pair(unordered_pair(X0,X2),singleton(X0)),X1) ),
    inference(cnf_transformation,[],[f144]) ).

cnf(c_58,plain,
    ( ~ in(X0,fiber(X1,X0))
    | ~ relation(X1) ),
    inference(cnf_transformation,[],[f146]) ).

cnf(c_59,plain,
    ( ~ in(sK1(X0,X1),X1)
    | subset(X0,X1) ),
    inference(cnf_transformation,[],[f105]) ).

cnf(c_60,plain,
    ( in(sK1(X0,X1),X0)
    | subset(X0,X1) ),
    inference(cnf_transformation,[],[f104]) ).

cnf(c_63,plain,
    ( ~ relation(X0)
    | relation(relation_restriction(X0,X1)) ),
    inference(cnf_transformation,[],[f108]) ).

cnf(c_80,plain,
    ( ~ in(X0,relation_restriction(X1,X2))
    | ~ relation(X1)
    | in(X0,X1) ),
    inference(cnf_transformation,[],[f123]) ).

cnf(c_82,negated_conjecture,
    ~ subset(fiber(relation_restriction(sK10,sK8),sK9),fiber(sK10,sK9)),
    inference(cnf_transformation,[],[f128]) ).

cnf(c_83,negated_conjecture,
    relation(sK10),
    inference(cnf_transformation,[],[f127]) ).

cnf(c_290,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_292,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_293,plain,
    ( X0 != X1
    | X2 != X3
    | ~ in(X1,X3)
    | in(X0,X2) ),
    theory(equality) ).

cnf(c_647,plain,
    ( in(sK1(fiber(relation_restriction(sK10,sK8),sK9),fiber(sK10,sK9)),fiber(relation_restriction(sK10,sK8),sK9))
    | subset(fiber(relation_restriction(sK10,sK8),sK9),fiber(sK10,sK9)) ),
    inference(instantiation,[status(thm)],[c_60]) ).

cnf(c_699,plain,
    fiber(relation_restriction(sK10,sK8),sK9) = fiber(relation_restriction(sK10,sK8),sK9),
    inference(instantiation,[status(thm)],[c_290]) ).

cnf(c_768,plain,
    ( ~ in(X0,fiber(relation_restriction(sK10,X1),X2))
    | ~ relation(relation_restriction(sK10,X1))
    | in(unordered_pair(unordered_pair(X0,X2),singleton(X0)),relation_restriction(sK10,X1)) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_1138,plain,
    sK9 = sK9,
    inference(instantiation,[status(thm)],[c_290]) ).

cnf(c_1143,plain,
    ( ~ in(sK1(fiber(relation_restriction(sK10,sK8),sK9),fiber(sK10,sK9)),fiber(relation_restriction(sK10,sK8),sK9))
    | ~ relation(relation_restriction(sK10,sK8))
    | in(unordered_pair(unordered_pair(sK1(fiber(relation_restriction(sK10,sK8),sK9),fiber(sK10,sK9)),sK9),singleton(sK1(fiber(relation_restriction(sK10,sK8),sK9),fiber(sK10,sK9)))),relation_restriction(sK10,sK8)) ),
    inference(instantiation,[status(thm)],[c_768]) ).

cnf(c_1556,plain,
    ( ~ relation(sK10)
    | relation(relation_restriction(sK10,sK8)) ),
    inference(instantiation,[status(thm)],[c_63]) ).

cnf(c_1570,plain,
    ( sK1(fiber(relation_restriction(sK10,sK8),sK9),fiber(sK10,sK9)) != X0
    | X1 != X0
    | X1 = sK1(fiber(relation_restriction(sK10,sK8),sK9),fiber(sK10,sK9)) ),
    inference(instantiation,[status(thm)],[c_292]) ).

cnf(c_1790,plain,
    ( ~ in(unordered_pair(unordered_pair(sK1(fiber(relation_restriction(sK10,sK8),sK9),fiber(sK10,sK9)),sK9),singleton(sK1(fiber(relation_restriction(sK10,sK8),sK9),fiber(sK10,sK9)))),relation_restriction(sK10,sK8))
    | ~ relation(sK10)
    | in(unordered_pair(unordered_pair(sK1(fiber(relation_restriction(sK10,sK8),sK9),fiber(sK10,sK9)),sK9),singleton(sK1(fiber(relation_restriction(sK10,sK8),sK9),fiber(sK10,sK9)))),sK10) ),
    inference(instantiation,[status(thm)],[c_80]) ).

cnf(c_2795,plain,
    ( ~ in(unordered_pair(unordered_pair(sK1(fiber(relation_restriction(sK10,sK8),sK9),fiber(sK10,sK9)),sK9),singleton(sK1(fiber(relation_restriction(sK10,sK8),sK9),fiber(sK10,sK9)))),sK10)
    | ~ relation(sK10)
    | sK1(fiber(relation_restriction(sK10,sK8),sK9),fiber(sK10,sK9)) = sK9
    | in(sK1(fiber(relation_restriction(sK10,sK8),sK9),fiber(sK10,sK9)),fiber(sK10,sK9)) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_5585,plain,
    ( sK1(fiber(relation_restriction(sK10,sK8),sK9),fiber(sK10,sK9)) != X0
    | sK9 != X0
    | sK9 = sK1(fiber(relation_restriction(sK10,sK8),sK9),fiber(sK10,sK9)) ),
    inference(instantiation,[status(thm)],[c_1570]) ).

cnf(c_8660,plain,
    ( sK1(fiber(relation_restriction(sK10,sK8),sK9),fiber(sK10,sK9)) != sK9
    | sK9 != sK9
    | sK9 = sK1(fiber(relation_restriction(sK10,sK8),sK9),fiber(sK10,sK9)) ),
    inference(instantiation,[status(thm)],[c_5585]) ).

cnf(c_20974,plain,
    ( ~ in(sK1(fiber(relation_restriction(sK10,sK8),sK9),fiber(sK10,sK9)),fiber(sK10,sK9))
    | subset(fiber(relation_restriction(sK10,sK8),sK9),fiber(sK10,sK9)) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_21176,plain,
    ( X0 != sK1(fiber(relation_restriction(sK10,sK8),sK9),fiber(sK10,sK9))
    | X1 != fiber(relation_restriction(sK10,sK8),sK9)
    | ~ in(sK1(fiber(relation_restriction(sK10,sK8),sK9),fiber(sK10,sK9)),fiber(relation_restriction(sK10,sK8),sK9))
    | in(X0,X1) ),
    inference(instantiation,[status(thm)],[c_293]) ).

cnf(c_28488,plain,
    ( fiber(relation_restriction(sK10,sK8),sK9) != fiber(relation_restriction(sK10,sK8),sK9)
    | X0 != sK1(fiber(relation_restriction(sK10,sK8),sK9),fiber(sK10,sK9))
    | ~ in(sK1(fiber(relation_restriction(sK10,sK8),sK9),fiber(sK10,sK9)),fiber(relation_restriction(sK10,sK8),sK9))
    | in(X0,fiber(relation_restriction(sK10,sK8),sK9)) ),
    inference(instantiation,[status(thm)],[c_21176]) ).

cnf(c_28816,plain,
    ( ~ in(sK9,fiber(relation_restriction(sK10,sK8),sK9))
    | ~ relation(relation_restriction(sK10,sK8)) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_34196,plain,
    ( fiber(relation_restriction(sK10,sK8),sK9) != fiber(relation_restriction(sK10,sK8),sK9)
    | sK9 != sK1(fiber(relation_restriction(sK10,sK8),sK9),fiber(sK10,sK9))
    | ~ in(sK1(fiber(relation_restriction(sK10,sK8),sK9),fiber(sK10,sK9)),fiber(relation_restriction(sK10,sK8),sK9))
    | in(sK9,fiber(relation_restriction(sK10,sK8),sK9)) ),
    inference(instantiation,[status(thm)],[c_28488]) ).

cnf(c_34197,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_34196,c_28816,c_20974,c_8660,c_2795,c_1790,c_1556,c_1143,c_1138,c_699,c_647,c_82,c_83]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU251+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Aug 23 20:40:51 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 32.41/5.24  % SZS status Started for theBenchmark.p
% 32.41/5.24  % SZS status Theorem for theBenchmark.p
% 32.41/5.24  
% 32.41/5.24  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 32.41/5.24  
% 32.41/5.24  ------  iProver source info
% 32.41/5.24  
% 32.41/5.24  git: date: 2023-05-31 18:12:56 +0000
% 32.41/5.24  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 32.41/5.24  git: non_committed_changes: false
% 32.41/5.24  git: last_make_outside_of_git: false
% 32.41/5.24  
% 32.41/5.24  ------ Parsing...
% 32.41/5.24  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 32.41/5.24  
% 32.41/5.24  ------ Preprocessing...
% 32.41/5.24  
% 32.41/5.24  ------ Preprocessing...
% 32.41/5.24  
% 32.41/5.24  ------ Preprocessing...
% 32.41/5.24  ------ Proving...
% 32.41/5.24  ------ Problem Properties 
% 32.41/5.24  
% 32.41/5.24  
% 32.41/5.24  clauses                                 44
% 32.41/5.24  conjectures                             2
% 32.41/5.24  EPR                                     20
% 32.41/5.24  Horn                                    38
% 32.41/5.24  unary                                   19
% 32.41/5.24  binary                                  12
% 32.41/5.24  lits                                    88
% 32.41/5.24  lits eq                                 13
% 32.41/5.24  fd_pure                                 0
% 32.41/5.24  fd_pseudo                               0
% 32.41/5.24  fd_cond                                 1
% 32.41/5.24  fd_pseudo_cond                          4
% 32.41/5.24  AC symbols                              0
% 32.41/5.24  
% 32.41/5.24  ------ Input Options Time Limit: Unbounded
% 32.41/5.24  
% 32.41/5.24  
% 32.41/5.24  ------ 
% 32.41/5.24  Current options:
% 32.41/5.24  ------ 
% 32.41/5.24  
% 32.41/5.24  
% 32.41/5.24  
% 32.41/5.24  
% 32.41/5.24  ------ Proving...
% 32.41/5.24  
% 32.41/5.24  
% 32.41/5.24  % SZS status Theorem for theBenchmark.p
% 32.41/5.24  
% 32.41/5.24  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 32.41/5.24  
% 32.41/5.24  
%------------------------------------------------------------------------------