↑ Up

iProver---3.9.4.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SET598+3 : 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 : 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 02:47:30 PM UTC 2026

% Result   : Theorem 2.76s 1.27s
% Output   : CNFRefutation 2.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   80 (  15 unt;   1 def)
%            Number of atoms       :  320 (  54 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives :  319 ( 126   ~; 140   |;  42   &)
%                                         (   5 <=>;   4  =>;   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  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :  110 (   0 sgn  90   !;  20   ?;  25   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : subset(intersection(X0,X1),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_is_subset) ).

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

fof(f4,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( X0 = X1
    <=> ( subset(X1,X0)
        & subset(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_defn) ).

fof(f6,axiom,
    ! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_intersection) ).

fof(f9,conjecture,
    ! [X0,X1,X2] :
      ( X0 = intersection(X1,X2)
    <=> ( ! [X3] :
            ( ( subset(X3,X2)
              & subset(X3,X1) )
           => subset(X3,X0) )
        & subset(X0,X2)
        & subset(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th57) ).

fof(f10,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( X0 = intersection(X1,X2)
      <=> ( ! [X3] :
              ( ( subset(X3,X2)
                & subset(X3,X1) )
             => subset(X3,X0) )
          & subset(X0,X2)
          & subset(X0,X1) ) ),
    inference(negated_conjecture,[status(cth)],[f9]) ).

fof(f11,plain,
    ! [X0,X1,X2] :
      ( ~ subset(X0,X2)
      | ~ subset(X0,X1)
      | subset(X0,intersection(X1,X2)) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f12,plain,
    ! [X0,X1,X2] :
      ( ~ subset(X0,X2)
      | ~ subset(X0,X1)
      | subset(X0,intersection(X1,X2)) ),
    inference(flattening,[],[f11]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( ~ member(X2,X0)
          | member(X2,X1) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f14,plain,
    ? [X0,X1,X2] :
      ( X0 = intersection(X1,X2)
    <~> ( ! [X3] :
            ( ~ subset(X3,X2)
            | ~ subset(X3,X1)
            | subset(X3,X0) )
        & subset(X0,X2)
        & subset(X0,X1) ) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f15,plain,
    ? [X0,X1,X2] :
      ( X0 = intersection(X1,X2)
    <~> ( ! [X3] :
            ( ~ subset(X3,X2)
            | ~ subset(X3,X1)
            | subset(X3,X0) )
        & subset(X0,X2)
        & subset(X0,X1) ) ),
    inference(flattening,[],[f14]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ( ~ subset(X0,X1)
        | ! [X2] :
            ( ~ member(X2,X0)
            | member(X2,X1) ) )
      & ( ? [X2] :
            ( member(X2,X0)
            & ~ member(X2,X1) )
        | subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f13]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ( ~ subset(X0,X1)
        | ! [X3] :
            ( ~ member(X3,X0)
            | member(X3,X1) ) )
      & ( ? [X2] :
            ( member(X2,X0)
            & ~ member(X2,X1) )
        | subset(X0,X1) ) ),
    inference(rectify,[],[f18]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ( ~ subset(X0,X1)
        | ! [X3] :
            ( ~ member(X3,X0)
            | member(X3,X1) ) )
      & ( ( member(sK0(X0,X1),X0)
          & ~ member(sK0(X0,X1),X1) )
        | subset(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f19]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ( X0 != X1
        | ( subset(X1,X0)
          & subset(X0,X1) ) )
      & ( ~ subset(X1,X0)
        | ~ subset(X0,X1)
        | X0 = X1 ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ( X0 != X1
        | ( subset(X1,X0)
          & subset(X0,X1) ) )
      & ( ~ subset(X1,X0)
        | ~ subset(X0,X1)
        | X0 = X1 ) ),
    inference(flattening,[],[f21]) ).

fof(f26,plain,
    ? [X0,X1,X2] :
      ( ( X0 = intersection(X1,X2)
        | ( ! [X3] :
              ( ~ subset(X3,X2)
              | ~ subset(X3,X1)
              | subset(X3,X0) )
          & subset(X0,X2)
          & subset(X0,X1) ) )
      & ( intersection(X1,X2) != X0
        | ? [X3] :
            ( subset(X3,X2)
            & subset(X3,X1)
            & ~ subset(X3,X0) )
        | ~ subset(X0,X2)
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f15]) ).

fof(f27,plain,
    ? [X0,X1,X2] :
      ( ( X0 = intersection(X1,X2)
        | ( ! [X3] :
              ( ~ subset(X3,X2)
              | ~ subset(X3,X1)
              | subset(X3,X0) )
          & subset(X0,X2)
          & subset(X0,X1) ) )
      & ( intersection(X1,X2) != X0
        | ? [X3] :
            ( subset(X3,X2)
            & subset(X3,X1)
            & ~ subset(X3,X0) )
        | ~ subset(X0,X2)
        | ~ subset(X0,X1) ) ),
    inference(flattening,[],[f26]) ).

fof(f28,plain,
    ? [X0,X1,X2] :
      ( ( X0 = intersection(X1,X2)
        | ( ! [X4] :
              ( ~ subset(X4,X2)
              | ~ subset(X4,X1)
              | subset(X4,X0) )
          & subset(X0,X2)
          & subset(X0,X1) ) )
      & ( intersection(X1,X2) != X0
        | ? [X3] :
            ( subset(X3,X2)
            & subset(X3,X1)
            & ~ subset(X3,X0) )
        | ~ subset(X0,X2)
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f27]) ).

fof(f29,plain,
    ( ( sK2 = intersection(sK3,sK4)
      | ( ! [X4] :
            ( ~ subset(X4,sK4)
            | ~ subset(X4,sK3)
            | subset(X4,sK2) )
        & subset(sK2,sK4)
        & subset(sK2,sK3) ) )
    & ( sK2 != intersection(sK3,sK4)
      | ( subset(sK5,sK4)
        & subset(sK5,sK3)
        & ~ subset(sK5,sK2) )
      | ~ subset(sK2,sK4)
      | ~ subset(sK2,sK3) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5)],[f28]) ).

fof(f30,plain,
    ! [X0,X1] : subset(intersection(X0,X1),X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f31,plain,
    ! [X2,X0,X1] :
      ( ~ subset(X0,X2)
      | ~ subset(X0,X1)
      | subset(X0,intersection(X1,X2)) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f35,plain,
    ! [X3,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ member(X3,X0)
      | member(X3,X1) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( member(sK0(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ~ member(sK0(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( ~ subset(X1,X0)
      | ~ subset(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f22]) ).

fof(f41,plain,
    ! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
    inference(cnf_transformation,[],[f6]) ).

fof(f47,plain,
    ! [X4] :
      ( sK2 = intersection(sK3,sK4)
      | ~ subset(X4,sK4)
      | ~ subset(X4,sK3)
      | subset(X4,sK2) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f48,plain,
    ( sK2 = intersection(sK3,sK4)
    | subset(sK2,sK4) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f49,plain,
    ( sK2 = intersection(sK3,sK4)
    | subset(sK2,sK3) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f50,plain,
    ( sK2 != intersection(sK3,sK4)
    | subset(sK5,sK4)
    | ~ subset(sK2,sK4)
    | ~ subset(sK2,sK3) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f51,plain,
    ( sK2 != intersection(sK3,sK4)
    | subset(sK5,sK3)
    | ~ subset(sK2,sK4)
    | ~ subset(sK2,sK3) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f52,plain,
    ( sK2 != intersection(sK3,sK4)
    | ~ subset(sK5,sK2)
    | ~ subset(sK2,sK4)
    | ~ subset(sK2,sK3) ),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_49,plain,
    ! [X0: $i,X1: $i] : subset(intersection(X0,X1),X0),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subset(X0,intersection(X1,X2))
      | ~ subset(X0,X2)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X0,X1)
      | ~ member(sK0(X0,X1),X1) ),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X0,X1)
      | member(sK0(X0,X1),X0) ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X2,X1)
      | ~ member(X2,X0)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ subset(X1,X0)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_60,plain,
    ! [X0: $i,X1: $i] : intersection(X0,X1) = intersection(X1,X0),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_64,negated_conjecture,
    ( ~ subset(sK5,sK2)
    | ~ subset(sK2,sK4)
    | ~ subset(sK2,sK3)
    | ( intersection(sK3,sK4) != sK2 ) ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_65,negated_conjecture,
    ( subset(sK5,sK3)
    | ~ subset(sK2,sK4)
    | ~ subset(sK2,sK3)
    | ( intersection(sK3,sK4) != sK2 ) ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_66,negated_conjecture,
    ( subset(sK5,sK4)
    | ~ subset(sK2,sK4)
    | ~ subset(sK2,sK3)
    | ( intersection(sK3,sK4) != sK2 ) ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_67,negated_conjecture,
    ( subset(sK2,sK3)
    | ( intersection(sK3,sK4) = sK2 ) ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_68,negated_conjecture,
    ( subset(sK2,sK4)
    | ( intersection(sK3,sK4) = sK2 ) ),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_69,negated_conjecture,
    ! [X0: $i] :
      ( subset(X0,sK2)
      | ( intersection(sK3,sK4) = sK2 )
      | ~ subset(X0,sK4)
      | ~ subset(X0,sK3) ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_467,definition,
    iPr_def_10 = intersection(sK3,sK4),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_468,negated_conjecture,
    ! [X0: $i] :
      ( subset(X0,sK2)
      | ( iPr_def_10 = sK2 )
      | ~ subset(X0,sK4)
      | ~ subset(X0,sK3) ),
    inference(demodulation,[status(thm)],[c_69,c_467]) ).

tcf(c_469,negated_conjecture,
    ( subset(sK2,sK4)
    | ( iPr_def_10 = sK2 ) ),
    inference(demodulation,[status(thm)],[c_68]) ).

tcf(c_470,negated_conjecture,
    ( subset(sK2,sK3)
    | ( iPr_def_10 = sK2 ) ),
    inference(demodulation,[status(thm)],[c_67]) ).

tcf(c_471,negated_conjecture,
    ( subset(sK5,sK4)
    | ~ subset(sK2,sK4)
    | ~ subset(sK2,sK3)
    | ( iPr_def_10 != sK2 ) ),
    inference(demodulation,[status(thm)],[c_66]) ).

tcf(c_472,negated_conjecture,
    ( subset(sK5,sK3)
    | ~ subset(sK2,sK4)
    | ~ subset(sK2,sK3)
    | ( iPr_def_10 != sK2 ) ),
    inference(demodulation,[status(thm)],[c_65]) ).

tcf(c_473,negated_conjecture,
    ( ~ subset(sK5,sK2)
    | ~ subset(sK2,sK4)
    | ~ subset(sK2,sK3)
    | ( iPr_def_10 != sK2 ) ),
    inference(demodulation,[status(thm)],[c_64]) ).

tcf(c_792,plain,
    subset(iPr_def_10,sK3),
    inference(superposition,[status(thm)],[c_467,c_49]) ).

tcf(c_802,plain,
    ! [X0: $i,X1: $i] : subset(intersection(X0,X1),X1),
    inference(superposition,[status(thm)],[c_60,c_49]) ).

tcf(c_819,plain,
    subset(iPr_def_10,sK4),
    inference(superposition,[status(thm)],[c_467,c_802]) ).

tcf(c_825,plain,
    ( subset(iPr_def_10,sK2)
    | ( sK2 = iPr_def_10 )
    | ~ subset(iPr_def_10,sK3) ),
    inference(superposition,[status(thm)],[c_819,c_468]) ).

tcf(c_826,plain,
    ( subset(iPr_def_10,sK2)
    | ( sK2 = iPr_def_10 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_825,c_792]) ).

tcf(c_912,plain,
    ! [X0: $i] :
      ( subset(X0,iPr_def_10)
      | ~ subset(X0,sK4)
      | ~ subset(X0,sK3) ),
    inference(superposition,[status(thm)],[c_467,c_50]) ).

tcf(c_919,plain,
    ( subset(sK2,iPr_def_10)
    | ~ subset(sK2,sK4)
    | ~ subset(sK2,sK3) ),
    inference(instantiation,[status(thm)],[c_912]) ).

tcf(c_948,plain,
    ! [X0: $i] :
      ( member(X0,sK3)
      | ( sK2 = iPr_def_10 )
      | ~ member(X0,sK2) ),
    inference(superposition,[status(thm)],[c_470,c_56]) ).

tcf(c_949,plain,
    ! [X0: $i] :
      ( member(X0,sK4)
      | ( sK2 = iPr_def_10 )
      | ~ member(X0,sK2) ),
    inference(superposition,[status(thm)],[c_469,c_56]) ).

tcf(c_984,plain,
    ( ( sK2 = iPr_def_10 )
    | ~ subset(sK2,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_826,c_57]) ).

tcf(c_1042,plain,
    ! [X0: $i] :
      ( subset(sK2,X0)
      | member(sK0(sK2,X0),sK3)
      | ( sK2 = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_55,c_948]) ).

tcf(c_1052,plain,
    ! [X0: $i] :
      ( subset(sK2,X0)
      | member(sK0(sK2,X0),sK4)
      | ( sK2 = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_55,c_949]) ).

tcf(c_1083,plain,
    ( subset(sK2,sK3)
    | ( sK2 = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_1042,c_54]) ).

tcf(c_1092,plain,
    ( subset(sK2,sK4)
    | ( sK2 = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_1052,c_54]) ).

tcf(c_1095,plain,
    sK2 = iPr_def_10,
    inference(global_subsumption_just,[status(thm)],[c_1083,c_919,c_984,c_1083,c_1092]) ).

tcf(c_1107,plain,
    ( ~ subset(iPr_def_10,sK4)
    | ~ subset(iPr_def_10,sK3)
    | ~ subset(sK5,iPr_def_10)
    | ( iPr_def_10 != iPr_def_10 ) ),
    inference(demodulation,[status(thm)],[c_473,c_1095]) ).

tcf(c_1108,plain,
    ( subset(sK5,sK3)
    | ~ subset(iPr_def_10,sK4)
    | ~ subset(iPr_def_10,sK3)
    | ( iPr_def_10 != iPr_def_10 ) ),
    inference(demodulation,[status(thm)],[c_472,c_1095]) ).

tcf(c_1109,plain,
    ( subset(sK5,sK4)
    | ~ subset(iPr_def_10,sK4)
    | ~ subset(iPr_def_10,sK3)
    | ( iPr_def_10 != iPr_def_10 ) ),
    inference(demodulation,[status(thm)],[c_471,c_1095]) ).

tcf(c_1113,plain,
    ( subset(sK5,sK4)
    | ~ subset(iPr_def_10,sK4)
    | ~ subset(iPr_def_10,sK3) ),
    inference(equality_resolution_simp,[status(thm)],[c_1109]) ).

tcf(c_1114,plain,
    subset(sK5,sK4),
    inference(forward_subsumption_resolution,[status(thm)],[c_1113,c_819,c_792]) ).

tcf(c_1115,plain,
    ( subset(sK5,sK3)
    | ~ subset(iPr_def_10,sK4)
    | ~ subset(iPr_def_10,sK3) ),
    inference(equality_resolution_simp,[status(thm)],[c_1108]) ).

tcf(c_1116,plain,
    subset(sK5,sK3),
    inference(forward_subsumption_resolution,[status(thm)],[c_1115,c_819,c_792]) ).

tcf(c_1117,plain,
    ( ~ subset(iPr_def_10,sK4)
    | ~ subset(iPr_def_10,sK3)
    | ~ subset(sK5,iPr_def_10) ),
    inference(equality_resolution_simp,[status(thm)],[c_1107]) ).

tcf(c_1118,plain,
    ~ subset(sK5,iPr_def_10),
    inference(forward_subsumption_resolution,[status(thm)],[c_1117,c_819,c_792]) ).

tcf(c_1388,plain,
    ( subset(sK5,iPr_def_10)
    | ~ subset(sK5,sK4) ),
    inference(superposition,[status(thm)],[c_1116,c_912]) ).

tcf(c_1391,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1388,c_1118,c_1114]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SET598+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n011.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.01/0.36  % CPULimit : 300
% 0.01/0.36  % WCLimit  : 300
% 0.01/0.36  % DateTime : Thu Sep 24 11:24:27 UTC 2026
% 0.01/0.36  % CPUTime  : 
% 0.01/0.36  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.01/0.40  Running first-order theorem proving
% 0.01/0.40  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
% 0.01/0.41  
% 0.01/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.01/0.41  
% 0.01/0.41  % Detected problem language: tptp
% 0.01/0.42  % Proving...
% 2.76/1.27  % SZS status Started for theBenchmark.p
% 2.76/1.27  % SZS status Theorem for theBenchmark.p
% 2.76/1.27  
% 2.76/1.27  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.76/1.27  
% 2.76/1.27  % ------  iProver source info
% 2.76/1.27  
% 2.76/1.27  % git: date: 2026-07-19 20:42:38 +0200
% 2.76/1.27  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.76/1.27  % git: non_committed_changes: false
% 2.76/1.27  
% 2.76/1.27  % ------ Parsing...
% 2.76/1.27  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 2.76/1.27  
% 2.76/1.27  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 2.76/1.27  
% 2.76/1.27  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 2.76/1.27  
% 2.76/1.27  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.76/1.27  % ------ Proving...
% 2.76/1.27  % ------ Problem Properties 
% 2.76/1.27  
% 2.76/1.27  % 
% 2.76/1.27  % clauses                               20
% 2.76/1.27  % conjectures                           6
% 2.76/1.27  % EPR                                   9
% 2.76/1.27  % Horn                                  15
% 2.76/1.27  % unary                                 4
% 2.76/1.27  % binary                                6
% 2.76/1.27  % lits                                  50
% 2.76/1.27  % lits eq                               11
% 2.76/1.27  % fd_pure                               0
% 2.76/1.27  % fd_pseudo                             0
% 2.76/1.27  % fd_cond                               0
% 2.76/1.27  % fd_pseudo_cond                        3
% 2.76/1.27  % AC symbols                            0
% 2.76/1.27  
% 2.76/1.27  % ------ Schedule dynamic 5 is on 
% 2.76/1.27  
% 2.76/1.27  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.76/1.27  
% 2.76/1.27  
% 2.76/1.27  % ------ 
% 2.76/1.27  % Current options:
% 2.76/1.27  % ------ 
% 2.76/1.27  
% 2.76/1.27  
% 2.76/1.27  % 
% 2.76/1.27  
% 2.76/1.27  % ------ Proving...
% 2.76/1.27  % 
% 2.76/1.27  
% 2.76/1.27  % SZS status Theorem for theBenchmark.p
% 2.76/1.27  
% 2.76/1.27  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.76/1.27  
% 2.76/1.27  
%------------------------------------------------------------------------------