TSTP Solution File: KRS170+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : KRS170+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n014.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 : Fri May  3 02:33:51 EDT 2024

% Result   : Theorem 1.68s 1.12s
% Output   : CNFRefutation 1.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   77 (   5 unt;   0 def)
%            Number of atoms       :  322 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :  394 ( 149   ~; 200   |;  29   &)
%                                         (   5 <=>;  10  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   59 (   2 sgn  33   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] :
      ( ~ cowlNothing(X0)
      & cowlThing(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

fof(f2,axiom,
    ! [X0] :
      ( xsd_string(X0)
    <=> ~ xsd_integer(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( rhasLeader(X0,X1)
    <=> rhasHead(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f4,conjecture,
    ( ! [X0,X1] :
        ( rhasHead(X0,X1)
       => rhasLeader(X0,X1) )
    & ! [X0,X1] :
        ( rhasLeader(X0,X1)
       => rhasHead(X0,X1) )
    & ! [X0] :
        ( xsd_string(X0)
      <=> ~ xsd_integer(X0) )
    & ! [X0] :
        ( ~ cowlNothing(X0)
        & cowlThing(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

fof(f5,negated_conjecture,
    ~ ( ! [X0,X1] :
          ( rhasHead(X0,X1)
         => rhasLeader(X0,X1) )
      & ! [X0,X1] :
          ( rhasLeader(X0,X1)
         => rhasHead(X0,X1) )
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) ) ),
    inference(negated_conjecture,[],[f4]) ).

fof(f6,plain,
    ~ ( ! [X0,X1] :
          ( rhasHead(X0,X1)
         => rhasLeader(X0,X1) )
      & ! [X2,X3] :
          ( rhasLeader(X2,X3)
         => rhasHead(X2,X3) )
      & ! [X4] :
          ( xsd_string(X4)
        <=> ~ xsd_integer(X4) )
      & ! [X5] :
          ( ~ cowlNothing(X5)
          & cowlThing(X5) ) ),
    inference(rectify,[],[f5]) ).

fof(f7,plain,
    ( ? [X0,X1] :
        ( ~ rhasLeader(X0,X1)
        & rhasHead(X0,X1) )
    | ? [X2,X3] :
        ( ~ rhasHead(X2,X3)
        & rhasLeader(X2,X3) )
    | ? [X4] :
        ( xsd_string(X4)
      <~> ~ xsd_integer(X4) )
    | ? [X5] :
        ( cowlNothing(X5)
        | ~ cowlThing(X5) ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f8,plain,
    ! [X0] :
      ( ( xsd_string(X0)
        | xsd_integer(X0) )
      & ( ~ xsd_integer(X0)
        | ~ xsd_string(X0) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( ( rhasLeader(X0,X1)
        | ~ rhasHead(X0,X1) )
      & ( rhasHead(X0,X1)
        | ~ rhasLeader(X0,X1) ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f10,plain,
    ( ? [X0,X1] :
        ( ~ rhasLeader(X0,X1)
        & rhasHead(X0,X1) )
    | ? [X2,X3] :
        ( ~ rhasHead(X2,X3)
        & rhasLeader(X2,X3) )
    | ? [X4] :
        ( ( xsd_integer(X4)
          | ~ xsd_string(X4) )
        & ( ~ xsd_integer(X4)
          | xsd_string(X4) ) )
    | ? [X5] :
        ( cowlNothing(X5)
        | ~ cowlThing(X5) ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f11,plain,
    ( ? [X0,X1] :
        ( ~ rhasLeader(X0,X1)
        & rhasHead(X0,X1) )
   => ( ~ rhasLeader(sK0,sK1)
      & rhasHead(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f12,plain,
    ( ? [X2,X3] :
        ( ~ rhasHead(X2,X3)
        & rhasLeader(X2,X3) )
   => ( ~ rhasHead(sK2,sK3)
      & rhasLeader(sK2,sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f13,plain,
    ( ? [X4] :
        ( ( xsd_integer(X4)
          | ~ xsd_string(X4) )
        & ( ~ xsd_integer(X4)
          | xsd_string(X4) ) )
   => ( ( xsd_integer(sK4)
        | ~ xsd_string(sK4) )
      & ( ~ xsd_integer(sK4)
        | xsd_string(sK4) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f14,plain,
    ( ? [X5] :
        ( cowlNothing(X5)
        | ~ cowlThing(X5) )
   => ( cowlNothing(sK5)
      | ~ cowlThing(sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f15,plain,
    ( ( ~ rhasLeader(sK0,sK1)
      & rhasHead(sK0,sK1) )
    | ( ~ rhasHead(sK2,sK3)
      & rhasLeader(sK2,sK3) )
    | ( ( xsd_integer(sK4)
        | ~ xsd_string(sK4) )
      & ( ~ xsd_integer(sK4)
        | xsd_string(sK4) ) )
    | cowlNothing(sK5)
    | ~ cowlThing(sK5) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f10,f14,f13,f12,f11]) ).

fof(f16,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f17,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f18,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f19,plain,
    ! [X0] :
      ( xsd_string(X0)
      | xsd_integer(X0) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( rhasHead(X0,X1)
      | ~ rhasLeader(X0,X1) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( rhasLeader(X0,X1)
      | ~ rhasHead(X0,X1) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f22,plain,
    ( rhasHead(sK0,sK1)
    | rhasLeader(sK2,sK3)
    | ~ xsd_integer(sK4)
    | xsd_string(sK4)
    | cowlNothing(sK5)
    | ~ cowlThing(sK5) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f23,plain,
    ( rhasHead(sK0,sK1)
    | rhasLeader(sK2,sK3)
    | xsd_integer(sK4)
    | ~ xsd_string(sK4)
    | cowlNothing(sK5)
    | ~ cowlThing(sK5) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f24,plain,
    ( rhasHead(sK0,sK1)
    | ~ rhasHead(sK2,sK3)
    | ~ xsd_integer(sK4)
    | xsd_string(sK4)
    | cowlNothing(sK5)
    | ~ cowlThing(sK5) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f25,plain,
    ( rhasHead(sK0,sK1)
    | ~ rhasHead(sK2,sK3)
    | xsd_integer(sK4)
    | ~ xsd_string(sK4)
    | cowlNothing(sK5)
    | ~ cowlThing(sK5) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f26,plain,
    ( ~ rhasLeader(sK0,sK1)
    | rhasLeader(sK2,sK3)
    | ~ xsd_integer(sK4)
    | xsd_string(sK4)
    | cowlNothing(sK5)
    | ~ cowlThing(sK5) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f27,plain,
    ( ~ rhasLeader(sK0,sK1)
    | rhasLeader(sK2,sK3)
    | xsd_integer(sK4)
    | ~ xsd_string(sK4)
    | cowlNothing(sK5)
    | ~ cowlThing(sK5) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f28,plain,
    ( ~ rhasLeader(sK0,sK1)
    | ~ rhasHead(sK2,sK3)
    | ~ xsd_integer(sK4)
    | xsd_string(sK4)
    | cowlNothing(sK5)
    | ~ cowlThing(sK5) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f29,plain,
    ( ~ rhasLeader(sK0,sK1)
    | ~ rhasHead(sK2,sK3)
    | xsd_integer(sK4)
    | ~ xsd_string(sK4)
    | cowlNothing(sK5)
    | ~ cowlThing(sK5) ),
    inference(cnf_transformation,[],[f15]) ).

cnf(c_49,plain,
    ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f17]) ).

cnf(c_50,plain,
    cowlThing(X0),
    inference(cnf_transformation,[],[f16]) ).

cnf(c_51,plain,
    ( xsd_string(X0)
    | xsd_integer(X0) ),
    inference(cnf_transformation,[],[f19]) ).

cnf(c_52,plain,
    ( ~ xsd_string(X0)
    | ~ xsd_integer(X0) ),
    inference(cnf_transformation,[],[f18]) ).

cnf(c_53,plain,
    ( ~ rhasHead(X0,X1)
    | rhasLeader(X0,X1) ),
    inference(cnf_transformation,[],[f21]) ).

cnf(c_54,plain,
    ( ~ rhasLeader(X0,X1)
    | rhasHead(X0,X1) ),
    inference(cnf_transformation,[],[f20]) ).

cnf(c_55,negated_conjecture,
    ( ~ rhasLeader(sK0,sK1)
    | ~ rhasHead(sK2,sK3)
    | ~ cowlThing(sK5)
    | ~ xsd_string(sK4)
    | cowlNothing(sK5)
    | xsd_integer(sK4) ),
    inference(cnf_transformation,[],[f29]) ).

cnf(c_56,negated_conjecture,
    ( ~ rhasLeader(sK0,sK1)
    | ~ rhasHead(sK2,sK3)
    | ~ cowlThing(sK5)
    | ~ xsd_integer(sK4)
    | cowlNothing(sK5)
    | xsd_string(sK4) ),
    inference(cnf_transformation,[],[f28]) ).

cnf(c_57,negated_conjecture,
    ( ~ rhasLeader(sK0,sK1)
    | ~ cowlThing(sK5)
    | ~ xsd_string(sK4)
    | rhasLeader(sK2,sK3)
    | cowlNothing(sK5)
    | xsd_integer(sK4) ),
    inference(cnf_transformation,[],[f27]) ).

cnf(c_58,negated_conjecture,
    ( ~ rhasLeader(sK0,sK1)
    | ~ cowlThing(sK5)
    | ~ xsd_integer(sK4)
    | rhasLeader(sK2,sK3)
    | cowlNothing(sK5)
    | xsd_string(sK4) ),
    inference(cnf_transformation,[],[f26]) ).

cnf(c_59,negated_conjecture,
    ( ~ rhasHead(sK2,sK3)
    | ~ cowlThing(sK5)
    | ~ xsd_string(sK4)
    | rhasHead(sK0,sK1)
    | cowlNothing(sK5)
    | xsd_integer(sK4) ),
    inference(cnf_transformation,[],[f25]) ).

cnf(c_60,negated_conjecture,
    ( ~ rhasHead(sK2,sK3)
    | ~ cowlThing(sK5)
    | ~ xsd_integer(sK4)
    | rhasHead(sK0,sK1)
    | cowlNothing(sK5)
    | xsd_string(sK4) ),
    inference(cnf_transformation,[],[f24]) ).

cnf(c_61,negated_conjecture,
    ( ~ cowlThing(sK5)
    | ~ xsd_string(sK4)
    | rhasLeader(sK2,sK3)
    | rhasHead(sK0,sK1)
    | cowlNothing(sK5)
    | xsd_integer(sK4) ),
    inference(cnf_transformation,[],[f23]) ).

cnf(c_62,negated_conjecture,
    ( ~ cowlThing(sK5)
    | ~ xsd_integer(sK4)
    | rhasLeader(sK2,sK3)
    | rhasHead(sK0,sK1)
    | cowlNothing(sK5)
    | xsd_string(sK4) ),
    inference(cnf_transformation,[],[f22]) ).

cnf(c_65,plain,
    ( xsd_string(sK4)
    | xsd_integer(sK4) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_66,plain,
    ( ~ xsd_string(sK4)
    | ~ xsd_integer(sK4) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_69,negated_conjecture,
    ( ~ cowlThing(sK5)
    | rhasLeader(sK2,sK3)
    | rhasHead(sK0,sK1)
    | cowlNothing(sK5)
    | xsd_string(sK4) ),
    inference(global_subsumption_just,[status(thm)],[c_62,c_65,c_66,c_62,c_61]) ).

cnf(c_71,plain,
    ( cowlNothing(sK5)
    | rhasHead(sK0,sK1)
    | rhasLeader(sK2,sK3)
    | ~ cowlThing(sK5) ),
    inference(global_subsumption_just,[status(thm)],[c_69,c_66,c_61,c_69]) ).

cnf(c_72,negated_conjecture,
    ( ~ cowlThing(sK5)
    | rhasLeader(sK2,sK3)
    | rhasHead(sK0,sK1)
    | cowlNothing(sK5) ),
    inference(renaming,[status(thm)],[c_71]) ).

cnf(c_73,plain,
    ( cowlNothing(sK5)
    | rhasHead(sK0,sK1)
    | rhasLeader(sK2,sK3)
    | ~ cowlThing(sK5) ),
    inference(global_subsumption_just,[status(thm)],[c_61,c_72]) ).

cnf(c_74,negated_conjecture,
    ( ~ cowlThing(sK5)
    | rhasLeader(sK2,sK3)
    | rhasHead(sK0,sK1)
    | cowlNothing(sK5) ),
    inference(renaming,[status(thm)],[c_73]) ).

cnf(c_75,plain,
    ( ~ cowlThing(sK5)
    | ~ rhasHead(sK2,sK3)
    | rhasHead(sK0,sK1)
    | cowlNothing(sK5)
    | xsd_string(sK4) ),
    inference(global_subsumption_just,[status(thm)],[c_60,c_65,c_66,c_60,c_59]) ).

cnf(c_76,negated_conjecture,
    ( ~ rhasHead(sK2,sK3)
    | ~ cowlThing(sK5)
    | rhasHead(sK0,sK1)
    | cowlNothing(sK5)
    | xsd_string(sK4) ),
    inference(renaming,[status(thm)],[c_75]) ).

cnf(c_77,plain,
    ( cowlNothing(sK5)
    | rhasHead(sK0,sK1)
    | ~ cowlThing(sK5)
    | ~ rhasHead(sK2,sK3) ),
    inference(global_subsumption_just,[status(thm)],[c_76,c_66,c_59,c_76]) ).

cnf(c_78,negated_conjecture,
    ( ~ rhasHead(sK2,sK3)
    | ~ cowlThing(sK5)
    | rhasHead(sK0,sK1)
    | cowlNothing(sK5) ),
    inference(renaming,[status(thm)],[c_77]) ).

cnf(c_79,plain,
    ( cowlNothing(sK5)
    | rhasHead(sK0,sK1)
    | ~ rhasHead(sK2,sK3)
    | ~ cowlThing(sK5) ),
    inference(global_subsumption_just,[status(thm)],[c_59,c_78]) ).

cnf(c_80,negated_conjecture,
    ( ~ rhasHead(sK2,sK3)
    | ~ cowlThing(sK5)
    | rhasHead(sK0,sK1)
    | cowlNothing(sK5) ),
    inference(renaming,[status(thm)],[c_79]) ).

cnf(c_81,plain,
    ( ~ cowlThing(sK5)
    | ~ rhasLeader(sK0,sK1)
    | rhasLeader(sK2,sK3)
    | cowlNothing(sK5)
    | xsd_string(sK4) ),
    inference(global_subsumption_just,[status(thm)],[c_58,c_65,c_66,c_58,c_57]) ).

cnf(c_82,negated_conjecture,
    ( ~ rhasLeader(sK0,sK1)
    | ~ cowlThing(sK5)
    | rhasLeader(sK2,sK3)
    | cowlNothing(sK5)
    | xsd_string(sK4) ),
    inference(renaming,[status(thm)],[c_81]) ).

cnf(c_83,plain,
    ( cowlNothing(sK5)
    | rhasLeader(sK2,sK3)
    | ~ cowlThing(sK5)
    | ~ rhasLeader(sK0,sK1) ),
    inference(global_subsumption_just,[status(thm)],[c_82,c_66,c_57,c_82]) ).

cnf(c_84,negated_conjecture,
    ( ~ rhasLeader(sK0,sK1)
    | ~ cowlThing(sK5)
    | rhasLeader(sK2,sK3)
    | cowlNothing(sK5) ),
    inference(renaming,[status(thm)],[c_83]) ).

cnf(c_85,plain,
    ( cowlNothing(sK5)
    | rhasLeader(sK2,sK3)
    | ~ rhasLeader(sK0,sK1)
    | ~ cowlThing(sK5) ),
    inference(global_subsumption_just,[status(thm)],[c_57,c_84]) ).

cnf(c_86,negated_conjecture,
    ( ~ rhasLeader(sK0,sK1)
    | ~ cowlThing(sK5)
    | rhasLeader(sK2,sK3)
    | cowlNothing(sK5) ),
    inference(renaming,[status(thm)],[c_85]) ).

cnf(c_87,plain,
    ( ~ cowlThing(sK5)
    | ~ rhasHead(sK2,sK3)
    | ~ rhasLeader(sK0,sK1)
    | cowlNothing(sK5)
    | xsd_string(sK4) ),
    inference(global_subsumption_just,[status(thm)],[c_56,c_65,c_66,c_56,c_55]) ).

cnf(c_88,negated_conjecture,
    ( ~ rhasLeader(sK0,sK1)
    | ~ rhasHead(sK2,sK3)
    | ~ cowlThing(sK5)
    | cowlNothing(sK5)
    | xsd_string(sK4) ),
    inference(renaming,[status(thm)],[c_87]) ).

cnf(c_89,plain,
    ( cowlNothing(sK5)
    | ~ cowlThing(sK5)
    | ~ rhasHead(sK2,sK3)
    | ~ rhasLeader(sK0,sK1) ),
    inference(global_subsumption_just,[status(thm)],[c_88,c_66,c_55,c_88]) ).

cnf(c_90,negated_conjecture,
    ( ~ rhasLeader(sK0,sK1)
    | ~ rhasHead(sK2,sK3)
    | ~ cowlThing(sK5)
    | cowlNothing(sK5) ),
    inference(renaming,[status(thm)],[c_89]) ).

cnf(c_123,plain,
    ( rhasLeader(sK2,sK3)
    | rhasHead(sK0,sK1)
    | cowlNothing(sK5) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_74,c_50]) ).

cnf(c_124,plain,
    ( ~ rhasLeader(sK0,sK1)
    | rhasLeader(sK2,sK3)
    | cowlNothing(sK5) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_86,c_50]) ).

cnf(c_125,plain,
    ( ~ rhasLeader(sK0,sK1)
    | ~ rhasHead(sK2,sK3)
    | cowlNothing(sK5) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_90,c_50]) ).

cnf(c_126,plain,
    ( ~ rhasHead(sK2,sK3)
    | rhasHead(sK0,sK1)
    | cowlNothing(sK5) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_80,c_50]) ).

cnf(c_129,plain,
    ( ~ rhasHead(sK2,sK3)
    | rhasHead(sK0,sK1) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_126,c_49]) ).

cnf(c_130,plain,
    ( ~ rhasLeader(sK0,sK1)
    | ~ rhasHead(sK2,sK3) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_125,c_49]) ).

cnf(c_131,plain,
    ( rhasLeader(sK2,sK3)
    | rhasHead(sK0,sK1) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_123,c_49]) ).

cnf(c_132,plain,
    ( ~ rhasLeader(sK0,sK1)
    | rhasLeader(sK2,sK3) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_124,c_49]) ).

cnf(c_219,plain,
    ( ~ rhasLeader(sK2,sK3)
    | rhasHead(sK2,sK3) ),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_220,plain,
    ( ~ rhasHead(sK0,sK1)
    | rhasLeader(sK0,sK1) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_221,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_220,c_219,c_129,c_130,c_131,c_132]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : KRS170+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n014.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 22:32:32 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  Running first-order theorem proving
% 0.17/0.43  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.68/1.12  % SZS status Started for theBenchmark.p
% 1.68/1.12  % SZS status Theorem for theBenchmark.p
% 1.68/1.12  
% 1.68/1.12  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.68/1.12  
% 1.68/1.12  ------  iProver source info
% 1.68/1.12  
% 1.68/1.12  git: date: 2024-05-02 19:28:25 +0000
% 1.68/1.12  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.68/1.12  git: non_committed_changes: false
% 1.68/1.12  
% 1.68/1.12  ------ Parsing...
% 1.68/1.12  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 1.68/1.12  
% 1.68/1.12  
% 1.68/1.12  ------ Preprocessing... sf_s  rm: 4 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.68/1.12  
% 1.68/1.12  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 1.68/1.12   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.68/1.12  ------ Proving...
% 1.68/1.12  ------ Problem Properties 
% 1.68/1.12  
% 1.68/1.12  
% 1.68/1.12  clauses                                 6
% 1.68/1.12  conjectures                             0
% 1.68/1.12  EPR                                     6
% 1.68/1.12  Horn                                    5
% 1.68/1.12  unary                                   0
% 1.68/1.12  binary                                  6
% 1.68/1.12  lits                                    12
% 1.68/1.12  lits eq                                 0
% 1.68/1.12  fd_pure                                 0
% 1.68/1.12  fd_pseudo                               0
% 1.68/1.12  fd_cond                                 0
% 1.68/1.12  fd_pseudo_cond                          0
% 1.68/1.12  AC symbols                              0
% 1.68/1.12  
% 1.68/1.12  ------ Schedule EPR non Horn non eq is on
% 1.68/1.12  
% 1.68/1.12  ------ no conjectures: strip conj schedule 
% 1.68/1.12  
% 1.68/1.12  ------ no equalities: superposition off 
% 1.68/1.12  
% 1.68/1.12  ------ Input Options "--resolution_flag false" stripped conjectures Time Limit: 70.
% 1.68/1.12  
% 1.68/1.12  
% 1.68/1.12  ------ 
% 1.68/1.12  Current options:
% 1.68/1.12  ------ 
% 1.68/1.12  
% 1.68/1.12  
% 1.68/1.12  
% 1.68/1.12  
% 1.68/1.12  ------ Proving...
% 1.68/1.12  
% 1.68/1.12  
% 1.68/1.12  % SZS status Theorem for theBenchmark.p
% 1.68/1.12  
% 1.68/1.12  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.68/1.13  
% 1.68/1.13  
%------------------------------------------------------------------------------