↑ Up

iProver---3.9.4.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN550+1 : TPTP v9.3.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n004.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 03:40:46 PM UTC 2026

% Result   : Theorem 3.13s 1.43s
% Output   : CNFRefutation 3.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   73 (  10 unt;   1 def)
%            Number of atoms       :  333 (   0 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives :  331 ( 137   ~; 138   |;  40   &)
%                                         (   4 <=>;  10  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   6 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :  129 (   0 sgn 102   !;  27   ?;  44   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : reachable(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_of_reachable) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( ( reachable(X1,X2)
        & reachable(X0,X1) )
     => reachable(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_reachable) ).

fof(f3,conjecture,
    ( ? [X0] :
        ( ! [X1] :
            ( reachable(X0,X1)
           => p(X1) )
        & reachable(initial_world,X0) )
  <=> ? [X0] :
        ( ! [X1] :
            ( reachable(X0,X1)
           => ? [X2] :
                ( ! [X3] :
                    ( reachable(X2,X3)
                   => p(X3) )
                & reachable(X1,X2) ) )
        & reachable(initial_world,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f4,negated_conjecture,
    ~ ( ? [X0] :
          ( ! [X1] :
              ( reachable(X0,X1)
             => p(X1) )
          & reachable(initial_world,X0) )
    <=> ? [X0] :
          ( ! [X1] :
              ( reachable(X0,X1)
             => ? [X2] :
                  ( ! [X3] :
                      ( reachable(X2,X3)
                     => p(X3) )
                  & reachable(X1,X2) ) )
          & reachable(initial_world,X0) ) ),
    inference(negated_conjecture,[status(cth)],[f3]) ).

fof(f5,plain,
    ~ ( ? [X0] :
          ( ! [X1] :
              ( reachable(X0,X1)
             => p(X1) )
          & reachable(initial_world,X0) )
    <=> ? [X2] :
          ( ! [X3] :
              ( reachable(X2,X3)
             => ? [X4] :
                  ( ! [X5] :
                      ( reachable(X4,X5)
                     => p(X5) )
                  & reachable(X3,X4) ) )
          & reachable(initial_world,X2) ) ),
    inference(rectify,[],[f4]) ).

fof(f6,plain,
    ! [X0,X1,X2] :
      ( ~ reachable(X1,X2)
      | ~ reachable(X0,X1)
      | reachable(X0,X2) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f7,plain,
    ! [X0,X1,X2] :
      ( ~ reachable(X1,X2)
      | ~ reachable(X0,X1)
      | reachable(X0,X2) ),
    inference(flattening,[],[f6]) ).

fof(f8,plain,
    ( ? [X0] :
        ( ! [X1] :
            ( ~ reachable(X0,X1)
            | p(X1) )
        & reachable(initial_world,X0) )
  <~> ? [X2] :
        ( ! [X3] :
            ( ~ reachable(X2,X3)
            | ? [X4] :
                ( ! [X5] :
                    ( ~ reachable(X4,X5)
                    | p(X5) )
                & reachable(X3,X4) ) )
        & reachable(initial_world,X2) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f14,plain,
    ( ( ? [X0] :
          ( ! [X1] :
              ( ~ reachable(X0,X1)
              | p(X1) )
          & reachable(initial_world,X0) )
      | sP0 )
    & ( ! [X0] :
          ( ? [X1] :
              ( reachable(X0,X1)
              & ~ p(X1) )
          | ~ reachable(initial_world,X0) )
      | ~ sP0 ) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f15,plain,
    ( ( ? [X2] :
          ( ! [X3] :
              ( ~ reachable(X2,X3)
              | p(X3) )
          & reachable(initial_world,X2) )
      | sP0 )
    & ( ! [X0] :
          ( ? [X1] :
              ( reachable(X0,X1)
              & ~ p(X1) )
          | ~ reachable(initial_world,X0) )
      | ~ sP0 ) ),
    inference(rectify,[],[f14]) ).

fof(f16,plain,
    ( ( ( ! [X3] :
            ( ~ reachable(sK6,X3)
            | p(X3) )
        & reachable(initial_world,sK6) )
      | sP0 )
    & ( ! [X0] :
          ( ( reachable(X0,sK5(X0))
            & ~ p(sK5(X0)) )
          | ~ reachable(initial_world,X0) )
      | ~ sP0 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X1,sK5(X0)),skolemize(X2,sK6)],[f15]) ).

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

fof(f18,plain,
    ! [X2,X0,X1] :
      ( ~ reachable(X1,X2)
      | ~ reachable(X0,X1)
      | reachable(X0,X2) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f25,plain,
    ! [X3] :
      ( ~ reachable(sK6,X3)
      | p(X3)
      | sP0 ),
    inference(cnf_transformation,[],[f16]) ).

fof(f26,plain,
    ( reachable(initial_world,sK6)
    | sP0 ),
    inference(cnf_transformation,[],[f16]) ).

fof(f27,plain,
    ! [X0] :
      ( reachable(X0,sK5(X0))
      | ~ reachable(initial_world,X0)
      | ~ sP0 ),
    inference(cnf_transformation,[],[f16]) ).

fof(f28,plain,
    ! [X0] :
      ( ~ p(sK5(X0))
      | ~ reachable(initial_world,X0)
      | ~ sP0 ),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_49,plain,
    ! [X0: $i] : reachable(X0,X0),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( reachable(X0,X2)
      | ~ reachable(X1,X2)
      | ~ reachable(X0,X1) ),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_57,negated_conjecture,
    ! [X0: $i] :
      ( ~ sP0
      | ~ p(sK5(X0))
      | ~ reachable(initial_world,X0) ),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_58,negated_conjecture,
    ! [X0: $i] :
      ( reachable(X0,sK5(X0))
      | ~ sP0
      | ~ reachable(initial_world,X0) ),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_59,negated_conjecture,
    ( sP0
    | reachable(initial_world,sK6) ),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_60,negated_conjecture,
    ! [X0: $i] :
      ( sP0
      | p(X0)
      | ~ reachable(sK6,X0) ),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_829,negated_conjecture,
    ( sP0
    | reachable(initial_world,sK6) ),
    inference(demodulation,[status(thm)],[c_59]) ).

tcf(c_830,negated_conjecture,
    ! [X0: $i] :
      ( reachable(X0,sK5(X0))
      | ~ sP0
      | ~ reachable(initial_world,X0) ),
    inference(demodulation,[status(thm)],[c_58]) ).

tcf(c_832,plain,
    ! [X0: $i] : reachable(sK1(X0),sK1(X0)),
    inference(instantiation,[status(thm)],[c_49]) ).

tcf(c_872,plain,
    reachable(sK3,sK3),
    inference(instantiation,[status(thm)],[c_49]) ).

tcf(c_1163,plain,
    ( reachable(sK4(sK3),sK5(sK4(sK3)))
    | ~ sP0
    | ~ reachable(initial_world,sK4(sK3)) ),
    inference(instantiation,[status(thm)],[c_830]) ).

fof(f9,definition,
    ( sP0
  <=> ? [X2] :
        ( ! [X3] :
            ( ~ reachable(X2,X3)
            | ? [X4] :
                ( ! [X5] :
                    ( ~ reachable(X4,X5)
                    | p(X5) )
                & reachable(X3,X4) ) )
        & reachable(initial_world,X2) ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f10,plain,
    ( ? [X0] :
        ( ! [X1] :
            ( ~ reachable(X0,X1)
            | p(X1) )
        & reachable(initial_world,X0) )
  <~> sP0 ),
    inference(definition_folding,[],[f8,f9]) ).

fof(f11,plain,
    ( ( ~ sP0
      | ? [X2] :
          ( ! [X3] :
              ( ~ reachable(X2,X3)
              | ? [X4] :
                  ( ! [X5] :
                      ( ~ reachable(X4,X5)
                      | p(X5) )
                  & reachable(X3,X4) ) )
          & reachable(initial_world,X2) ) )
    & ( ! [X2] :
          ( ? [X3] :
              ( reachable(X2,X3)
              & ! [X4] :
                  ( ? [X5] :
                      ( reachable(X4,X5)
                      & ~ p(X5) )
                  | ~ reachable(X3,X4) ) )
          | ~ reachable(initial_world,X2) )
      | sP0 ) ),
    inference(nnf_transformation,[],[f9]) ).

fof(f12,plain,
    ( ( ~ sP0
      | ? [X4] :
          ( ! [X5] :
              ( ~ reachable(X4,X5)
              | ? [X6] :
                  ( ! [X7] :
                      ( ~ reachable(X6,X7)
                      | p(X7) )
                  & reachable(X5,X6) ) )
          & reachable(initial_world,X4) ) )
    & ( ! [X0] :
          ( ? [X1] :
              ( reachable(X0,X1)
              & ! [X2] :
                  ( ? [X3] :
                      ( reachable(X2,X3)
                      & ~ p(X3) )
                  | ~ reachable(X1,X2) ) )
          | ~ reachable(initial_world,X0) )
      | sP0 ) ),
    inference(rectify,[],[f11]) ).

fof(f13,plain,
    ( ( ~ sP0
      | ( ! [X5] :
            ( ~ reachable(sK3,X5)
            | ( ! [X7] :
                  ( ~ reachable(sK4(X5),X7)
                  | p(X7) )
              & reachable(X5,sK4(X5)) ) )
        & reachable(initial_world,sK3) ) )
    & ( ! [X0] :
          ( ( reachable(X0,sK1(X0))
            & ! [X2] :
                ( ( reachable(X2,sK2(X2))
                  & ~ p(sK2(X2)) )
                | ~ reachable(sK1(X0),X2) ) )
          | ~ reachable(initial_world,X0) )
      | sP0 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4]),skolemize(X1,sK1(X0)),skolemize(X3,sK2(X2)),skolemize(X4,sK3),skolemize(X6,sK4(X5))],[f12]) ).

fof(f19,plain,
    ! [X7,X5] :
      ( ~ sP0
      | ~ reachable(sK3,X5)
      | ~ reachable(sK4(X5),X7)
      | p(X7) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f20,plain,
    ! [X5] :
      ( ~ sP0
      | ~ reachable(sK3,X5)
      | reachable(X5,sK4(X5)) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f21,plain,
    ( ~ sP0
    | reachable(initial_world,sK3) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f22,plain,
    ! [X0] :
      ( reachable(X0,sK1(X0))
      | ~ reachable(initial_world,X0)
      | sP0 ),
    inference(cnf_transformation,[],[f13]) ).

fof(f23,plain,
    ! [X2,X0] :
      ( reachable(X2,sK2(X2))
      | ~ reachable(sK1(X0),X2)
      | ~ reachable(initial_world,X0)
      | sP0 ),
    inference(cnf_transformation,[],[f13]) ).

fof(f24,plain,
    ! [X2,X0] :
      ( ~ p(sK2(X2))
      | ~ reachable(sK1(X0),X2)
      | ~ reachable(initial_world,X0)
      | sP0 ),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_51,plain,
    ! [X0: $i,X1: $i] :
      ( sP0
      | ~ p(sK2(X1))
      | ~ reachable(initial_world,X0)
      | ~ reachable(sK1(X0),X1) ),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_52,plain,
    ! [X0: $i,X1: $i] :
      ( sP0
      | reachable(X1,sK2(X1))
      | ~ reachable(initial_world,X0)
      | ~ reachable(sK1(X0),X1) ),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_53,plain,
    ! [X0: $i] :
      ( sP0
      | reachable(X0,sK1(X0))
      | ~ reachable(initial_world,X0) ),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_54,plain,
    ( reachable(initial_world,sK3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_55,plain,
    ! [X0: $i] :
      ( reachable(X0,sK4(X0))
      | ~ sP0
      | ~ reachable(sK3,X0) ),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i] :
      ( p(X1)
      | ~ sP0
      | ~ reachable(sK3,X0)
      | ~ reachable(sK4(X0),X1) ),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_141,plain,
    ! [X0: $i,X1: $i] :
      ( sP0
      | ~ reachable(initial_world,X0)
      | ~ reachable(sK6,sK2(X1))
      | ~ reachable(sK1(X0),X1) ),
    inference(resolution,[status(thm)],[c_51,c_60]) ).

tcf(c_155,plain,
    ! [X0: $i,X1: $i] :
      ( ~ sP0
      | ~ reachable(sK3,X0)
      | ~ reachable(initial_world,X1)
      | ~ reachable(sK4(X0),sK5(X1)) ),
    inference(resolution,[status(thm)],[c_56,c_57]) ).

tcf(c_827,plain,
    ! [X0: $i,X1: $i] :
      ( ~ sP0
      | ~ reachable(sK3,X0)
      | ~ reachable(initial_world,X1)
      | ~ reachable(sK4(X0),sK5(X1)) ),
    inference(demodulation,[status(thm)],[c_155]) ).

tcf(c_828,plain,
    ! [X0: $i,X1: $i] :
      ( sP0
      | ~ reachable(initial_world,X0)
      | ~ reachable(sK6,sK2(X1))
      | ~ reachable(sK1(X0),X1) ),
    inference(demodulation,[status(thm)],[c_141]) ).

tcf(c_831,plain,
    ! [X0: $i] :
      ( sP0
      | reachable(sK1(X0),sK2(sK1(X0)))
      | ~ reachable(initial_world,X0)
      | ~ reachable(sK1(X0),sK1(X0)) ),
    inference(instantiation,[status(thm)],[c_52]) ).

tcf(c_871,plain,
    ! [X0: $i] :
      ( ~ sP0
      | ~ reachable(sK3,sK3)
      | ~ reachable(initial_world,X0)
      | ~ reachable(sK4(sK3),sK5(X0)) ),
    inference(instantiation,[status(thm)],[c_827]) ).

tcf(c_1034,plain,
    ! [X0: $i] :
      ( sP0
      | ~ reachable(initial_world,X0)
      | ~ reachable(sK6,sK2(sK1(X0))) ),
    inference(superposition,[status(thm)],[c_49,c_828]) ).

tcf(c_1110,plain,
    ! [X0: $i] :
      ( reachable(initial_world,X0)
      | ~ sP0
      | ~ reachable(sK3,X0) ),
    inference(superposition,[status(thm)],[c_54,c_50]) ).

tcf(c_1130,plain,
    ! [X0: $i] :
      ( reachable(initial_world,X0)
      | ~ sP0
      | ~ reachable(sK3,X0) ),
    inference(superposition,[status(thm)],[c_54,c_50]) ).

tcf(c_1162,plain,
    ( ~ sP0
    | ~ reachable(sK3,sK3)
    | ~ reachable(initial_world,sK4(sK3))
    | ~ reachable(sK4(sK3),sK5(sK4(sK3))) ),
    inference(instantiation,[status(thm)],[c_871]) ).

tcf(c_1176,plain,
    ! [X0: $i,X1: $i] :
      ( sP0
      | reachable(X0,X1)
      | ~ reachable(initial_world,X0)
      | ~ reachable(sK1(X0),X1) ),
    inference(superposition,[status(thm)],[c_53,c_50]) ).

tcf(c_1283,plain,
    ! [X0: $i] :
      ( sP0
      | reachable(sK1(X0),sK2(sK1(X0)))
      | ~ reachable(initial_world,X0) ),
    inference(superposition,[status(thm)],[c_49,c_52]) ).

tcf(c_1304,plain,
    ! [X0: $i] :
      ( sP0
      | reachable(sK1(X0),sK2(sK1(X0)))
      | ~ reachable(initial_world,X0) ),
    inference(superposition,[status(thm)],[c_49,c_52]) ).

tcf(c_1406,plain,
    ( reachable(initial_world,sK4(sK3))
    | ~ sP0
    | ~ reachable(sK3,sK3) ),
    inference(superposition,[status(thm)],[c_55,c_1110]) ).

tcf(c_1411,plain,
    ( reachable(initial_world,sK4(sK3))
    | ~ sP0 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1406,c_49]) ).

tcf(c_1414,plain,
    ~ sP0,
    inference(global_subsumption_just,[status(thm)],[c_1130,c_872,c_1162,c_1163,c_1411]) ).

tcf(c_1498,plain,
    ! [X0: $i] :
      ( ~ reachable(initial_world,X0)
      | reachable(sK1(X0),sK2(sK1(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_1304,c_831,c_832,c_1414]) ).

tcf(c_1499,plain,
    ! [X0: $i] :
      ( reachable(sK1(X0),sK2(sK1(X0)))
      | ~ reachable(initial_world,X0) ),
    inference(renaming,[status(thm)],[c_1498]) ).

tcf(c_1544,plain,
    ~ sP0,
    inference(global_subsumption_just,[status(thm)],[c_1411,c_872,c_1162,c_1163,c_1411]) ).

tcf(c_1547,plain,
    ! [X0: $i] :
      ( ~ reachable(initial_world,X0)
      | ~ reachable(sK6,sK2(sK1(X0))) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1034,c_1544]) ).

tcf(c_1549,plain,
    reachable(initial_world,sK6),
    inference(backward_subsumption_resolution,[status(thm)],[c_829,c_1544]) ).

tcf(c_1604,plain,
    ! [X0: $i,X1: $i] :
      ( ~ reachable(sK1(X0),X1)
      | ~ reachable(initial_world,X0)
      | reachable(X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_1176,c_872,c_1162,c_1163,c_1176,c_1411]) ).

tcf(c_1605,plain,
    ! [X0: $i,X1: $i] :
      ( reachable(X0,X1)
      | ~ reachable(initial_world,X0)
      | ~ reachable(sK1(X0),X1) ),
    inference(renaming,[status(thm)],[c_1604]) ).

tcf(c_1627,plain,
    ! [X0: $i] :
      ( ~ reachable(initial_world,X0)
      | reachable(sK1(X0),sK2(sK1(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_1283,c_1499]) ).

tcf(c_1628,plain,
    ! [X0: $i] :
      ( reachable(sK1(X0),sK2(sK1(X0)))
      | ~ reachable(initial_world,X0) ),
    inference(renaming,[status(thm)],[c_1627]) ).

tcf(c_1634,plain,
    ! [X0: $i] :
      ( reachable(X0,sK2(sK1(X0)))
      | ~ reachable(initial_world,X0) ),
    inference(superposition,[status(thm)],[c_1628,c_1605]) ).

tcf(c_1720,plain,
    ~ reachable(initial_world,sK6),
    inference(superposition,[status(thm)],[c_1634,c_1547]) ).

tcf(c_1721,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1720,c_1549]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN550+1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36  % Computer : n004.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Fri Sep 25 01:43:05 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.08/0.36  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.42  Running first-order theorem proving
% 0.14/0.42  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
% 0.14/0.43  
% 0.14/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.43  
% 0.14/0.44  % Detected problem language: tptp
% 0.14/0.45  % Proving...
% 3.13/1.43  % SZS status Started for theBenchmark.p
% 3.13/1.43  % SZS status Theorem for theBenchmark.p
% 3.13/1.43  
% 3.13/1.43  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.13/1.43  
% 3.13/1.43  % ------  iProver source info
% 3.13/1.43  
% 3.13/1.43  % git: date: 2026-07-19 20:42:38 +0200
% 3.13/1.43  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.13/1.43  % git: non_committed_changes: false
% 3.13/1.43  
% 3.13/1.43  % ------ Parsing...
% 3.13/1.43  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.13/1.43  
% 3.13/1.43  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 3.13/1.43  
% 3.13/1.43  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.13/1.43  % ------ Proving...
% 3.13/1.43  % ------ Problem Properties 
% 3.13/1.43  
% 3.13/1.43  % 
% 3.13/1.43  % clauses                               10
% 3.13/1.43  % conjectures                           2
% 3.13/1.43  % EPR                                   4
% 3.13/1.43  % Horn                                  7
% 3.13/1.43  % unary                                 1
% 3.13/1.43  % binary                                2
% 3.13/1.43  % lits                                  29
% 3.13/1.43  % lits eq                               0
% 3.13/1.43  % fd_pure                               0
% 3.13/1.43  % fd_pseudo                             0
% 3.13/1.43  % fd_cond                               0
% 3.13/1.43  % fd_pseudo_cond                        0
% 3.13/1.43  % AC symbols                            0
% 3.13/1.43  
% 3.13/1.43  % ------ Schedule dynamic 5 is on 
% 3.13/1.43  
% 3.13/1.43  % ------ no equalities: superposition off 
% 3.13/1.43  
% 3.13/1.43  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.13/1.43  
% 3.13/1.43  
% 3.13/1.43  % ------ 
% 3.13/1.43  % Current options:
% 3.13/1.43  % ------ 
% 3.13/1.43  
% 3.13/1.43  
% 3.13/1.43  % 
% 3.13/1.43  
% 3.13/1.43  % ------ Proving...
% 3.13/1.43  % 
% 3.13/1.43  
% 3.13/1.43  % SZS status Theorem for theBenchmark.p
% 3.13/1.43  
% 3.13/1.43  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.13/1.44  
% 3.13/1.44  
%------------------------------------------------------------------------------