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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : LCL896+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n013.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 02:08:38 PM UTC 2026

% Result   : Theorem 6.43s 2.38s
% Output   : CNFRefutation 6.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   91 (  72 unt;   4 def)
%            Number of atoms       :  221 (  53 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   54 (  28   ~;  21   |;   2   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   5 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :  112 (   0 sgn 110   !;   2   ?;  55   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2] : '+'('+'(X0,X1),X2) = '+'(X0,'+'(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).

fof(f2,axiom,
    ! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).

fof(f3,axiom,
    ! [X0] : '+'(X0,'0') = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).

fof(f4,axiom,
    ! [X0] : '>='(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ( '>='(X1,X0)
        & '>='(X0,X1) )
     => X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).

fof(f7,axiom,
    ! [X0,X1,X2] :
      ( '>='('+'(X0,X1),X2)
    <=> '>='(X1,'==>'(X0,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).

fof(f8,axiom,
    ! [X0] : '>='(X0,'0'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).

fof(f9,axiom,
    ! [X0,X1,X2] :
      ( '>='(X0,X1)
     => '>='('+'(X0,X2),'+'(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_09) ).

fof(f12,axiom,
    ! [X0,X1,X2] : '+'('+'(X0,'==>'(X0,X1)),'==>'('+'(X0,'==>'(X0,X1)),X2)) = '+'(X0,'==>'(X0,'+'(X1,'==>'(X1,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12) ).

fof(f13,conjecture,
    ! [X0,X1] : '+'(X0,'==>'(X0,X1)) = '+'(X1,'==>'(X1,X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_13) ).

fof(f14,negated_conjecture,
    ~ ! [X0,X1] : '+'(X0,'==>'(X0,X1)) = '+'(X1,'==>'(X1,X0)),
    inference(negated_conjecture,[status(cth)],[f13]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ~ '>='(X1,X0)
      | ~ '>='(X0,X1)
      | X0 = X1 ),
    inference(ennf_transformation,[],[f6]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ~ '>='(X1,X0)
      | ~ '>='(X0,X1)
      | X0 = X1 ),
    inference(flattening,[],[f17]) ).

fof(f19,plain,
    ! [X0,X1,X2] :
      ( ~ '>='(X0,X1)
      | '>='('+'(X0,X2),'+'(X1,X2)) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f22,plain,
    ? [X0,X1] : '+'(X0,'==>'(X0,X1)) != '+'(X1,'==>'(X1,X0)),
    inference(ennf_transformation,[],[f14]) ).

fof(f23,plain,
    ! [X0,X1,X2] :
      ( ( ~ '>='('+'(X0,X1),X2)
        | '>='(X1,'==>'(X0,X2)) )
      & ( ~ '>='(X1,'==>'(X0,X2))
        | '>='('+'(X0,X1),X2) ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f24,plain,
    '+'(sK0,'==>'(sK0,sK1)) != '+'(sK1,'==>'(sK1,sK0)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f22]) ).

fof(f25,plain,
    ! [X2,X0,X1] : '+'('+'(X0,X1),X2) = '+'(X0,'+'(X1,X2)),
    inference(cnf_transformation,[],[f1]) ).

fof(f26,plain,
    ! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f27,plain,
    ! [X0] : '+'(X0,'0') = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f28,plain,
    ! [X0] : '>='(X0,X0),
    inference(cnf_transformation,[],[f4]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ~ '>='(X1,X0)
      | ~ '>='(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f31,plain,
    ! [X2,X0,X1] :
      ( ~ '>='('+'(X0,X1),X2)
      | '>='(X1,'==>'(X0,X2)) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f32,plain,
    ! [X2,X0,X1] :
      ( ~ '>='(X1,'==>'(X0,X2))
      | '>='('+'(X0,X1),X2) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f33,plain,
    ! [X0] : '>='(X0,'0'),
    inference(cnf_transformation,[],[f8]) ).

fof(f34,plain,
    ! [X2,X0,X1] :
      ( ~ '>='(X0,X1)
      | '>='('+'(X0,X2),'+'(X1,X2)) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f37,plain,
    ! [X2,X0,X1] : '+'('+'(X0,'==>'(X0,X1)),'==>'('+'(X0,'==>'(X0,X1)),X2)) = '+'(X0,'==>'(X0,'+'(X1,'==>'(X1,X2)))),
    inference(cnf_transformation,[],[f12]) ).

fof(f38,plain,
    '+'(sK0,'==>'(sK0,sK1)) != '+'(sK1,'==>'(sK1,sK0)),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_49,plain,
    ! [X0: $i,X1: $i,X2: $i] : '+'('+'(X0,X1),X2) = '+'(X0,'+'(X1,X2)),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i] : '+'(X0,X1) = '+'(X1,X0),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_51,plain,
    ! [X0: $i] : '+'(X0,'0') = X0,
    inference(cnf_transformation,[],[f27]) ).

tcf(c_52,plain,
    ! [X0: $i] : '>='(X0,X0),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ '>='(X1,X0)
      | ~ '>='(X0,X1) ),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( '>='('+'(X1,X0),X2)
      | ~ '>='(X0,'==>'(X1,X2)) ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( '>='(X1,'==>'(X0,X2))
      | ~ '>='('+'(X0,X1),X2) ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_57,plain,
    ! [X0: $i] : '>='(X0,'0'),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( '>='('+'(X0,X2),'+'(X1,X2))
      | ~ '>='(X0,X1) ),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_61,plain,
    ! [X0: $i,X1: $i,X2: $i] : '+'('+'(X0,'==>'(X0,X1)),'==>'('+'(X0,'==>'(X0,X1)),X2)) = '+'(X0,'==>'(X0,'+'(X1,'==>'(X1,X2)))),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_62,negated_conjecture,
    '+'(sK0,'==>'(sK0,sK1)) != '+'(sK1,'==>'(sK1,sK0)),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_74,plain,
    ! [X0: $i,X1: $i,X2: $i] : '+'(X0,'+'('==>'(X0,X1),'==>'('+'(X0,'==>'(X0,X1)),X2))) = '+'(X0,'==>'(X0,'+'(X1,'==>'(X1,X2)))),
    inference(theory_normalisation,[status(thm)],[c_61,c_49,c_50]) ).

tcf(c_158,definition,
    iPr_def_10 = '==>'(sK0,sK1),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_159,definition,
    iPr_def_11 = '+'(sK0,iPr_def_10),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_160,definition,
    iPr_def_12 = '==>'(sK1,sK0),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_161,definition,
    iPr_def_13 = '+'(sK1,iPr_def_12),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_162,negated_conjecture,
    iPr_def_11 != iPr_def_13,
    inference(demodulation,[status(thm)],[c_62,c_160,c_161,c_158,c_159]) ).

tcf(c_341,plain,
    '+'(iPr_def_10,sK0) = iPr_def_11,
    inference(theory_normalisation,[status(thm)],[c_159,c_49,c_50]) ).

tcf(c_342,plain,
    '+'(iPr_def_12,sK1) = iPr_def_13,
    inference(theory_normalisation,[status(thm)],[c_161,c_49,c_50]) ).

tcf(c_345,plain,
    ! [X0: $i] : '+'(sK0,'+'(iPr_def_10,'==>'('+'(sK0,iPr_def_10),X0))) = '+'(sK0,'==>'(sK0,'+'(sK1,'==>'(sK1,X0)))),
    inference(superposition,[status(thm)],[c_158,c_74]) ).

tcf(c_346,plain,
    ! [X0: $i] : '+'(sK1,'+'(iPr_def_12,'==>'('+'(sK1,iPr_def_12),X0))) = '+'(sK1,'==>'(sK1,'+'(sK0,'==>'(sK0,X0)))),
    inference(superposition,[status(thm)],[c_160,c_74]) ).

tcf(c_347,plain,
    ! [X0: $i] : '+'(sK1,'==>'(sK1,'+'(sK0,'==>'(sK0,X0)))) = '+'(iPr_def_12,'+'(sK1,'==>'('+'(iPr_def_12,sK1),X0))),
    inference(theory_normalisation,[status(thm)],[c_346,c_49,c_50]) ).

tcf(c_348,plain,
    ! [X0: $i] : '+'(sK1,'==>'(sK1,'+'(sK0,'==>'(sK0,X0)))) = '+'(iPr_def_12,'+'(sK1,'==>'(iPr_def_13,X0))),
    inference(light_normalisation,[status(thm)],[c_347,c_342]) ).

tcf(c_349,plain,
    ! [X0: $i] : '+'(sK0,'==>'(sK0,'+'(sK1,'==>'(sK1,X0)))) = '+'(iPr_def_10,'+'(sK0,'==>'('+'(iPr_def_10,sK0),X0))),
    inference(theory_normalisation,[status(thm)],[c_345,c_49,c_50]) ).

tcf(c_350,plain,
    ! [X0: $i] : '+'(sK0,'==>'(sK0,'+'(sK1,'==>'(sK1,X0)))) = '+'(iPr_def_10,'+'(sK0,'==>'(iPr_def_11,X0))),
    inference(light_normalisation,[status(thm)],[c_349,c_341]) ).

tcf(c_357,plain,
    ! [X0: $i] : '+'('0',X0) = X0,
    inference(superposition,[status(thm)],[c_51,c_50]) ).

tcf(c_373,plain,
    ! [X0: $i,X1: $i] : '>='('+'(X0,'==>'(X0,X1)),X1),
    inference(superposition,[status(thm)],[c_52,c_55]) ).

tcf(c_581,plain,
    ! [X0: $i,X1: $i] :
      ( '>='('+'(X0,X1),X1)
      | ~ '>='(X0,'0') ),
    inference(superposition,[status(thm)],[c_357,c_58]) ).

tcf(c_591,plain,
    ! [X0: $i,X1: $i] : '>='('+'(X0,X1),X1),
    inference(forward_subsumption_resolution,[status(thm)],[c_581,c_57]) ).

tcf(c_772,plain,
    ! [X0: $i] : '+'(iPr_def_10,'+'(sK0,X0)) = '+'(iPr_def_11,X0),
    inference(superposition,[status(thm)],[c_341,c_49]) ).

tcf(c_773,plain,
    ! [X0: $i] : '+'(iPr_def_12,'+'(sK1,X0)) = '+'(iPr_def_13,X0),
    inference(superposition,[status(thm)],[c_342,c_49]) ).

tcf(c_847,plain,
    ! [X0: $i,X1: $i,X2: $i] : '>='('+'(X0,'+'(X1,X2)),X2),
    inference(superposition,[status(thm)],[c_49,c_591]) ).

tcf(c_972,plain,
    ! [X0: $i] : '+'(sK1,'==>'(sK1,'+'(sK0,'==>'(sK0,X0)))) = '+'(iPr_def_13,'==>'(iPr_def_13,X0)),
    inference(demodulation,[status(thm)],[c_348,c_773]) ).

tcf(c_973,plain,
    '+'(sK1,'==>'(sK1,'+'(sK0,iPr_def_10))) = '+'(iPr_def_13,'==>'(iPr_def_13,sK1)),
    inference(superposition,[status(thm)],[c_158,c_972]) ).

tcf(c_985,plain,
    '+'(sK1,'==>'(sK1,'+'(iPr_def_10,sK0))) = '+'(iPr_def_13,'==>'(iPr_def_13,sK1)),
    inference(theory_normalisation,[status(thm)],[c_973,c_49,c_50]) ).

tcf(c_986,plain,
    '+'(sK1,'==>'(sK1,iPr_def_11)) = '+'(iPr_def_13,'==>'(iPr_def_13,sK1)),
    inference(light_normalisation,[status(thm)],[c_985,c_341]) ).

tcf(c_1505,plain,
    ! [X0: $i] : '+'(sK0,'==>'(sK0,'+'(sK1,'==>'(sK1,X0)))) = '+'(iPr_def_11,'==>'(iPr_def_11,X0)),
    inference(demodulation,[status(thm)],[c_350,c_772]) ).

tcf(c_1507,plain,
    '+'(sK0,'==>'(sK0,'+'(sK1,iPr_def_12))) = '+'(iPr_def_11,'==>'(iPr_def_11,sK0)),
    inference(superposition,[status(thm)],[c_160,c_1505]) ).

tcf(c_1521,plain,
    '+'(sK0,'==>'(sK0,'+'(iPr_def_12,sK1))) = '+'(iPr_def_11,'==>'(iPr_def_11,sK0)),
    inference(theory_normalisation,[status(thm)],[c_1507,c_49,c_50]) ).

tcf(c_1522,plain,
    '+'(sK0,'==>'(sK0,iPr_def_13)) = '+'(iPr_def_11,'==>'(iPr_def_11,sK0)),
    inference(light_normalisation,[status(thm)],[c_1521,c_342]) ).

tcf(c_1722,plain,
    ! [X0: $i] : '>='('+'(X0,iPr_def_11),sK0),
    inference(superposition,[status(thm)],[c_341,c_847]) ).

tcf(c_1723,plain,
    ! [X0: $i] : '>='('+'(X0,iPr_def_13),sK1),
    inference(superposition,[status(thm)],[c_342,c_847]) ).

tcf(c_1785,plain,
    ! [X0: $i] : '>='('+'(iPr_def_11,X0),sK0),
    inference(superposition,[status(thm)],[c_50,c_1722]) ).

tcf(c_1800,plain,
    ! [X0: $i] : '>='('+'(iPr_def_13,X0),sK1),
    inference(superposition,[status(thm)],[c_50,c_1723]) ).

tcf(c_1821,plain,
    ! [X0: $i] : '>='(X0,'==>'(iPr_def_11,sK0)),
    inference(superposition,[status(thm)],[c_1785,c_56]) ).

tcf(c_1930,plain,
    ! [X0: $i] : '>='(X0,'==>'(iPr_def_13,sK1)),
    inference(superposition,[status(thm)],[c_1800,c_56]) ).

tcf(c_11856,plain,
    '>='('+'(iPr_def_13,'==>'(iPr_def_13,sK1)),iPr_def_11),
    inference(superposition,[status(thm)],[c_986,c_373]) ).

tcf(c_13944,plain,
    '>='('==>'(iPr_def_13,sK1),'==>'(iPr_def_13,iPr_def_11)),
    inference(superposition,[status(thm)],[c_11856,c_56]) ).

tcf(c_14913,plain,
    ( ( '==>'(iPr_def_13,sK1) = '==>'(iPr_def_13,iPr_def_11) )
    | ~ '>='('==>'(iPr_def_13,iPr_def_11),'==>'(iPr_def_13,sK1)) ),
    inference(superposition,[status(thm)],[c_13944,c_54]) ).

tcf(c_14918,plain,
    '==>'(iPr_def_13,sK1) = '==>'(iPr_def_13,iPr_def_11),
    inference(forward_subsumption_resolution,[status(thm)],[c_14913,c_1930]) ).

tcf(c_14923,plain,
    ! [X0: $i] : '>='(X0,'==>'(iPr_def_13,iPr_def_11)),
    inference(demodulation,[status(thm)],[c_1930,c_14918]) ).

tcf(c_14929,plain,
    ! [X0: $i] : '>='('+'(iPr_def_13,X0),iPr_def_11),
    inference(superposition,[status(thm)],[c_14923,c_55]) ).

tcf(c_14948,plain,
    '>='(iPr_def_13,iPr_def_11),
    inference(superposition,[status(thm)],[c_51,c_14929]) ).

tcf(c_14963,plain,
    ( ( iPr_def_11 = iPr_def_13 )
    | ~ '>='(iPr_def_11,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_14948,c_54]) ).

tcf(c_14967,plain,
    ~ '>='(iPr_def_11,iPr_def_13),
    inference(forward_subsumption_resolution,[status(thm)],[c_14963,c_162]) ).

tcf(c_15594,plain,
    '>='('+'(iPr_def_11,'==>'(iPr_def_11,sK0)),iPr_def_13),
    inference(superposition,[status(thm)],[c_1522,c_373]) ).

tcf(c_16666,plain,
    '>='('==>'(iPr_def_11,sK0),'==>'(iPr_def_11,iPr_def_13)),
    inference(superposition,[status(thm)],[c_15594,c_56]) ).

tcf(c_16872,plain,
    ( ( '==>'(iPr_def_11,sK0) = '==>'(iPr_def_11,iPr_def_13) )
    | ~ '>='('==>'(iPr_def_11,iPr_def_13),'==>'(iPr_def_11,sK0)) ),
    inference(superposition,[status(thm)],[c_16666,c_54]) ).

tcf(c_16877,plain,
    '==>'(iPr_def_11,sK0) = '==>'(iPr_def_11,iPr_def_13),
    inference(forward_subsumption_resolution,[status(thm)],[c_16872,c_1821]) ).

tcf(c_16882,plain,
    ! [X0: $i] : '>='(X0,'==>'(iPr_def_11,iPr_def_13)),
    inference(demodulation,[status(thm)],[c_1821,c_16877]) ).

tcf(c_16888,plain,
    ! [X0: $i] : '>='('+'(iPr_def_11,X0),iPr_def_13),
    inference(superposition,[status(thm)],[c_16882,c_55]) ).

tcf(c_16908,plain,
    '>='(iPr_def_11,iPr_def_13),
    inference(superposition,[status(thm)],[c_51,c_16888]) ).

tcf(c_16917,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_16908,c_14967]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL896+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37  % Computer : n013.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Thu Sep 24 00:38:51 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.43  Running first-order theorem proving
% 0.13/0.43  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.45  
% 0.13/0.45  % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.45  
% 0.13/0.45  % Detected problem language: tptp
% 0.13/0.47  % Proving...
% 6.43/2.38  % SZS status Started for theBenchmark.p
% 6.43/2.38  % SZS status Theorem for theBenchmark.p
% 6.43/2.38  
% 6.43/2.38  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.43/2.38  
% 6.43/2.38  % ------  iProver source info
% 6.43/2.38  
% 6.43/2.38  % git: date: 2026-07-19 20:42:38 +0200
% 6.43/2.38  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.43/2.38  % git: non_committed_changes: false
% 6.43/2.38  
% 6.43/2.38  % ------ Parsing...
% 6.43/2.38  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 6.43/2.38  
% 6.43/2.38  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 6.43/2.38  
% 6.43/2.38  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 6.43/2.38  
% 6.43/2.38  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 6.43/2.38  % ------ Proving...
% 6.43/2.38  % ------ Problem Properties 
% 6.43/2.38  
% 6.43/2.38  % 
% 6.43/2.38  % clauses                               18
% 6.43/2.38  % conjectures                           1
% 6.43/2.38  % EPR                                   5
% 6.43/2.38  % Horn                                  18
% 6.43/2.38  % unary                                 11
% 6.43/2.38  % binary                                5
% 6.43/2.38  % lits                                  27
% 6.43/2.38  % lits eq                               10
% 6.43/2.38  % fd_pure                               0
% 6.43/2.38  % fd_pseudo                             0
% 6.43/2.38  % fd_cond                               0
% 6.43/2.38  % fd_pseudo_cond                        1
% 6.43/2.38  % AC symbols                            1
% 6.43/2.38  
% 6.43/2.38  % ------ Schedule dynamic 5 is on 
% 6.43/2.38  
% 6.43/2.38  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.43/2.38  
% 6.43/2.38  
% 6.43/2.38  % ------ 
% 6.43/2.38  % Current options:
% 6.43/2.38  % ------ 
% 6.43/2.38  
% 6.43/2.38  
% 6.43/2.38  % 
% 6.43/2.38  
% 6.43/2.38  % ------ Proving...
% 6.43/2.38  % 
% 6.43/2.38  
% 6.43/2.38  % SZS status Theorem for theBenchmark.p
% 6.43/2.38  
% 6.43/2.38  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.43/2.38  
% 6.43/2.38  
%------------------------------------------------------------------------------