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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : LCL903+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n005.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 02:08:39 PM UTC 2026

% Result   : Theorem 10.68s 2.88s
% Output   : CNFRefutation 10.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  100 (  63 unt;   1 def)
%            Number of atoms       :  179 (  40 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  101 (  51   ~;  43   |;   3   &)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :  148 (   0 sgn 147   !;   1   ?;  84   :)

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

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

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

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

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( ( '>='(X1,X2)
        & '>='(X0,X1) )
     => '>='(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).

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

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

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

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

fof(f12,axiom,
    ! [X0] : '+'(X0,'1') = '1',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_12) ).

fof(f13,axiom,
    ! [X0] : '==>'('==>'('==>'(X0,'1'),X0),X0) = '0',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).

fof(f14,conjecture,
    ! [X0] : '+'(X0,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).

fof(f15,negated_conjecture,
    ~ ! [X0] : '+'(X0,X0) = X0,
    inference(negated_conjecture,[status(cth)],[f14]) ).

fof(f16,plain,
    ! [X0,X1,X2] :
      ( ~ '>='(X1,X2)
      | ~ '>='(X0,X1)
      | '>='(X0,X2) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X0,X1,X2] :
      ( ~ '>='(X1,X2)
      | ~ '>='(X0,X1)
      | '>='(X0,X2) ),
    inference(flattening,[],[f16]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ~ '>='(X1,X0)
      | ~ '>='(X0,X1)
      | X0 = X1 ),
    inference(ennf_transformation,[],[f6]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ~ '>='(X1,X0)
      | ~ '>='(X0,X1)
      | X0 = X1 ),
    inference(flattening,[],[f18]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( ~ '>='(X0,X1)
      | '>='('+'(X0,X2),'+'(X1,X2)) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f23,plain,
    ? [X0] : '+'(X0,X0) != X0,
    inference(ennf_transformation,[],[f15]) ).

fof(f24,plain,
    ! [X0,X1,X2] :
      ( ( ~ '>='('+'(X0,X1),X2)
        | '>='(X1,'==>'(X0,X2)) )
      & ( ~ '>='(X1,'==>'(X0,X2))
        | '>='('+'(X0,X1),X2) ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f25,plain,
    sK0 != '+'(sK0,sK0),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f23]) ).

fof(f26,plain,
    ! [X2,X0,X1] : '+'('+'(X0,X1),X2) = '+'(X0,'+'(X1,X2)),
    inference(cnf_transformation,[],[f1]) ).

fof(f27,plain,
    ! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f28,plain,
    ! [X0] : '+'(X0,'0') = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f29,plain,
    ! [X0] : '>='(X0,X0),
    inference(cnf_transformation,[],[f4]) ).

fof(f30,plain,
    ! [X2,X0,X1] :
      ( ~ '>='(X1,X2)
      | ~ '>='(X0,X1)
      | '>='(X0,X2) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ~ '>='(X1,X0)
      | ~ '>='(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f19]) ).

fof(f32,plain,
    ! [X2,X0,X1] :
      ( ~ '>='('+'(X0,X1),X2)
      | '>='(X1,'==>'(X0,X2)) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f33,plain,
    ! [X2,X0,X1] :
      ( ~ '>='(X1,'==>'(X0,X2))
      | '>='('+'(X0,X1),X2) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f34,plain,
    ! [X0] : '>='(X0,'0'),
    inference(cnf_transformation,[],[f8]) ).

fof(f35,plain,
    ! [X2,X0,X1] :
      ( ~ '>='(X0,X1)
      | '>='('+'(X0,X2),'+'(X1,X2)) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f38,plain,
    ! [X0] : '1' = '+'(X0,'1'),
    inference(cnf_transformation,[],[f12]) ).

fof(f39,plain,
    ! [X0] : '0' = '==>'('==>'('==>'(X0,'1'),X0),X0),
    inference(cnf_transformation,[],[f13]) ).

fof(f40,plain,
    sK0 != '+'(sK0,sK0),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_49,plain,
    ! [X0: $i,X1: $i,X2: $i] : '+'('+'(X0,X1),X2) = '+'(X0,'+'(X1,X2)),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i] : '+'(X0,X1) = '+'(X1,X0),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_51,plain,
    ! [X0: $i] : '+'(X0,'0') = X0,
    inference(cnf_transformation,[],[f28]) ).

tcf(c_52,plain,
    ! [X0: $i] : '>='(X0,X0),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( '>='(X0,X2)
      | ~ '>='(X1,X2)
      | ~ '>='(X0,X1) ),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ '>='(X1,X0)
      | ~ '>='(X0,X1) ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( '>='('+'(X1,X0),X2)
      | ~ '>='(X0,'==>'(X1,X2)) ),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( '>='(X1,'==>'(X0,X2))
      | ~ '>='('+'(X0,X1),X2) ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_57,plain,
    ! [X0: $i] : '>='(X0,'0'),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( '>='('+'(X0,X2),'+'(X1,X2))
      | ~ '>='(X0,X1) ),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_61,plain,
    ! [X0: $i] : '+'(X0,'1') = '1',
    inference(cnf_transformation,[],[f38]) ).

tcf(c_62,plain,
    ! [X0: $i] : '==>'('==>'('==>'(X0,'1'),X0),X0) = '0',
    inference(cnf_transformation,[],[f39]) ).

tcf(c_63,negated_conjecture,
    '+'(sK0,sK0) != sK0,
    inference(cnf_transformation,[],[f40]) ).

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

tcf(c_160,negated_conjecture,
    iPr_def_10 != sK0,
    inference(demodulation,[status(thm)],[c_63,c_159]) ).

tcf(c_337,plain,
    ! [X0: $i] : '+'('0',X0) = X0,
    inference(superposition,[status(thm)],[c_50,c_51]) ).

tcf(c_338,plain,
    ! [X0: $i] : '+'('1',X0) = '1',
    inference(superposition,[status(thm)],[c_50,c_61]) ).

tcf(c_365,plain,
    ! [X0: $i,X1: $i] :
      ( '>='(X1,X0)
      | ~ '>='('0',X0) ),
    inference(superposition,[status(thm)],[c_57,c_53]) ).

tcf(c_372,plain,
    ! [X0: $i,X1: $i] : '>='('+'(X0,'==>'(X0,X1)),X1),
    inference(superposition,[status(thm)],[c_52,c_55]) ).

tcf(c_373,plain,
    ! [X0: $i,X1: $i] :
      ( '>='('+'('==>'('==>'(X1,'1'),X1),X0),X1)
      | ~ '>='(X0,'0') ),
    inference(superposition,[status(thm)],[c_62,c_55]) ).

tcf(c_374,plain,
    ! [X0: $i,X1: $i] : '>='('+'('==>'('==>'(X0,'1'),X0),X1),X0),
    inference(forward_subsumption_resolution,[status(thm)],[c_373,c_57]) ).

tcf(c_381,plain,
    ! [X0: $i,X1: $i] : '>='(X0,'==>'(X1,'+'(X1,X0))),
    inference(superposition,[status(thm)],[c_52,c_56]) ).

tcf(c_386,plain,
    ! [X0: $i,X1: $i] :
      ( '>='('0','==>'(X0,X1))
      | ~ '>='(X0,X1) ),
    inference(superposition,[status(thm)],[c_51,c_56]) ).

tcf(c_415,plain,
    ( ( iPr_def_10 = sK0 )
    | ~ '>='(iPr_def_10,sK0)
    | ~ '>='(sK0,iPr_def_10) ),
    inference(instantiation,[status(thm)],[c_54]) ).

tcf(c_442,plain,
    ! [X0: $i] : '>='('1',X0),
    inference(superposition,[status(thm)],[c_338,c_372]) ).

tcf(c_480,plain,
    ! [X0: $i,X1: $i] : '>='(X0,'==>'(X1,'+'(X0,X1))),
    inference(superposition,[status(thm)],[c_50,c_381]) ).

tcf(c_481,plain,
    ! [X0: $i] : '>='('0','==>'(X0,X0)),
    inference(superposition,[status(thm)],[c_51,c_381]) ).

tcf(c_483,plain,
    '>='(sK0,'==>'(sK0,iPr_def_10)),
    inference(superposition,[status(thm)],[c_159,c_381]) ).

tcf(c_507,plain,
    ! [X0: $i,X1: $i] : '>='(X0,'==>'(X1,X1)),
    inference(superposition,[status(thm)],[c_481,c_365]) ).

tcf(c_508,plain,
    ! [X0: $i] :
      ( '>='(sK0,X0)
      | ~ '>='('==>'(sK0,iPr_def_10),X0) ),
    inference(superposition,[status(thm)],[c_483,c_53]) ).

tcf(c_537,plain,
    ! [X0: $i,X1: $i] : '>='('+'(X0,X1),X0),
    inference(superposition,[status(thm)],[c_507,c_55]) ).

tcf(c_553,plain,
    ! [X0: $i,X1: $i] :
      ( '>='(X1,'+'(X0,X1))
      | ~ '>='('0',X0) ),
    inference(superposition,[status(thm)],[c_337,c_58]) ).

tcf(c_562,plain,
    ! [X0: $i,X1: $i] :
      ( '>='('+'(X0,X1),X1)
      | ~ '>='(X0,'0') ),
    inference(superposition,[status(thm)],[c_337,c_58]) ).

tcf(c_569,plain,
    ! [X0: $i,X1: $i] : '>='('+'(X0,X1),X1),
    inference(forward_subsumption_resolution,[status(thm)],[c_562,c_57]) ).

tcf(c_732,plain,
    '>='(iPr_def_10,sK0),
    inference(superposition,[status(thm)],[c_159,c_537]) ).

tcf(c_784,plain,
    ! [X0: $i,X1: $i] : '>='(X0,'==>'(X1,X0)),
    inference(superposition,[status(thm)],[c_569,c_56]) ).

tcf(c_978,plain,
    ! [X0: $i] :
      ( ( X0 = '1' )
      | ~ '>='(X0,'1') ),
    inference(superposition,[status(thm)],[c_442,c_54]) ).

tcf(c_980,plain,
    ( ( sK0 = iPr_def_10 )
    | ~ '>='(sK0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_732,c_54]) ).

tcf(c_2036,plain,
    ! [X0: $i] : '+'(X0,'==>'(X0,'1')) = '1',
    inference(superposition,[status(thm)],[c_372,c_978]) ).

tcf(c_2043,plain,
    ~ '>='(sK0,iPr_def_10),
    inference(global_subsumption_just,[status(thm)],[c_980,c_160,c_415,c_732]) ).

tcf(c_2048,plain,
    ! [X0: $i] : '>='('==>'('==>'(X0,'1'),X0),X0),
    inference(superposition,[status(thm)],[c_51,c_374]) ).

tcf(c_2153,plain,
    ! [X0: $i] :
      ( ( '==>'('==>'(X0,'1'),X0) = X0 )
      | ~ '>='(X0,'==>'('==>'(X0,'1'),X0)) ),
    inference(superposition,[status(thm)],[c_2048,c_54]) ).

tcf(c_2159,plain,
    ! [X0: $i] : '==>'('==>'(X0,'1'),X0) = X0,
    inference(forward_subsumption_resolution,[status(thm)],[c_2153,c_784]) ).

tcf(c_2351,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( '>='(X2,'==>'(X0,X1))
      | ~ '>='(X0,X1) ),
    inference(superposition,[status(thm)],[c_386,c_365]) ).

tcf(c_2392,plain,
    ! [X0: $i] : '>='(X0,'==>'('==>'(X0,'1'),'1')),
    inference(superposition,[status(thm)],[c_2036,c_480]) ).

tcf(c_2396,plain,
    ! [X0: $i,X1: $i] :
      ( '>='('==>'(X1,'1'),'==>'(X1,X0))
      | ~ '>='('1',X0) ),
    inference(superposition,[status(thm)],[c_2036,c_56]) ).

tcf(c_2430,plain,
    ! [X0: $i,X1: $i] : '>='('==>'(X0,'1'),'==>'(X0,X1)),
    inference(forward_subsumption_resolution,[status(thm)],[c_2396,c_442]) ).

tcf(c_2501,plain,
    ! [X0: $i] : '>='('==>'('==>'(X0,'1'),'1'),X0),
    inference(superposition,[status(thm)],[c_2159,c_2430]) ).

tcf(c_2632,plain,
    ! [X0: $i] :
      ( ( '==>'('==>'(X0,'1'),'1') = X0 )
      | ~ '>='(X0,'==>'('==>'(X0,'1'),'1')) ),
    inference(superposition,[status(thm)],[c_2501,c_54]) ).

tcf(c_2638,plain,
    ! [X0: $i] : '==>'('==>'(X0,'1'),'1') = X0,
    inference(forward_subsumption_resolution,[status(thm)],[c_2632,c_2392]) ).

tcf(c_2655,plain,
    ! [X0: $i,X1: $i] : '>='(X0,'==>'('==>'(X0,'1'),X1)),
    inference(superposition,[status(thm)],[c_2638,c_2430]) ).

tcf(c_2780,plain,
    ! [X0: $i] : '>='(sK0,'==>'(X0,'+'(X0,'==>'(sK0,iPr_def_10)))),
    inference(superposition,[status(thm)],[c_381,c_508]) ).

tcf(c_2786,plain,
    ! [X0: $i] : '>='(sK0,'==>'('==>'('==>'(sK0,iPr_def_10),'1'),X0)),
    inference(superposition,[status(thm)],[c_2655,c_508]) ).

tcf(c_3057,plain,
    ! [X0: $i,X1: $i] :
      ( '>='(X1,'+'(X1,X0))
      | ~ '>='('0',X0) ),
    inference(superposition,[status(thm)],[c_50,c_553]) ).

tcf(c_6312,plain,
    ! [X0: $i,X1: $i] :
      ( '>='(X1,X0)
      | ~ '>='('==>'(X0,'1'),X0) ),
    inference(superposition,[status(thm)],[c_2159,c_2351]) ).

tcf(c_6395,plain,
    ! [X0: $i] : '>='('+'(X0,sK0),'+'(X0,'==>'(sK0,iPr_def_10))),
    inference(superposition,[status(thm)],[c_2780,c_55]) ).

tcf(c_6523,plain,
    ! [X0: $i] : '>='('+'('==>'('==>'(sK0,iPr_def_10),'1'),sK0),X0),
    inference(superposition,[status(thm)],[c_2786,c_55]) ).

tcf(c_6525,plain,
    ! [X0: $i] : '>='('+'(sK0,'==>'('==>'(sK0,iPr_def_10),'1')),X0),
    inference(theory_normalisation,[status(thm)],[c_6523,c_49,c_50]) ).

tcf(c_13608,plain,
    '>='(iPr_def_10,'+'(sK0,'==>'(sK0,iPr_def_10))),
    inference(superposition,[status(thm)],[c_159,c_6395]) ).

tcf(c_13637,plain,
    ( ( '+'(sK0,'==>'(sK0,iPr_def_10)) = iPr_def_10 )
    | ~ '>='('+'(sK0,'==>'(sK0,iPr_def_10)),iPr_def_10) ),
    inference(superposition,[status(thm)],[c_13608,c_54]) ).

tcf(c_13641,plain,
    '+'(sK0,'==>'(sK0,iPr_def_10)) = iPr_def_10,
    inference(forward_subsumption_resolution,[status(thm)],[c_13637,c_372]) ).

tcf(c_13691,plain,
    ( '>='(sK0,iPr_def_10)
    | ~ '>='('0','==>'(sK0,iPr_def_10)) ),
    inference(superposition,[status(thm)],[c_13641,c_3057]) ).

tcf(c_13760,plain,
    ~ '>='('0','==>'(sK0,iPr_def_10)),
    inference(forward_subsumption_resolution,[status(thm)],[c_13691,c_2043]) ).

tcf(c_14130,plain,
    ! [X0: $i] : '>='('==>'('==>'(sK0,iPr_def_10),'1'),'==>'(sK0,X0)),
    inference(superposition,[status(thm)],[c_6525,c_56]) ).

tcf(c_19562,plain,
    ! [X0: $i] : '>='(X0,'==>'(sK0,iPr_def_10)),
    inference(superposition,[status(thm)],[c_14130,c_6312]) ).

tcf(c_19567,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_13760,c_19562]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL903+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n005.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
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Thu Sep 24 00:39:33 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40  Running first-order theorem proving
% 0.09/0.40  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
% 0.09/0.41  
% 0.09/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41  
% 0.09/0.42  % Detected problem language: tptp
% 0.09/0.43  % Proving...
% 10.68/2.88  % SZS status Started for theBenchmark.p
% 10.68/2.88  % SZS status Theorem for theBenchmark.p
% 10.68/2.88  
% 10.68/2.88  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.68/2.88  
% 10.68/2.88  % ------  iProver source info
% 10.68/2.88  
% 10.68/2.88  % git: date: 2026-07-19 20:42:38 +0200
% 10.68/2.88  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.68/2.88  % git: non_committed_changes: false
% 10.68/2.88  
% 10.68/2.88  % ------ Parsing...
% 10.68/2.88  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 10.68/2.88  
% 10.68/2.88  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 10.68/2.88  
% 10.68/2.88  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 10.68/2.88  
% 10.68/2.88  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 10.68/2.88  % ------ Proving...
% 10.68/2.88  % ------ Problem Properties 
% 10.68/2.88  
% 10.68/2.88  % 
% 10.68/2.88  % clauses                               16
% 10.68/2.88  % conjectures                           1
% 10.68/2.88  % EPR                                   5
% 10.68/2.88  % Horn                                  16
% 10.68/2.88  % unary                                 9
% 10.68/2.88  % binary                                5
% 10.68/2.88  % lits                                  25
% 10.68/2.88  % lits eq                               8
% 10.68/2.88  % fd_pure                               0
% 10.68/2.88  % fd_pseudo                             0
% 10.68/2.88  % fd_cond                               0
% 10.68/2.88  % fd_pseudo_cond                        1
% 10.68/2.88  % AC symbols                            1
% 10.68/2.88  
% 10.68/2.88  % ------ Schedule dynamic 5 is on 
% 10.68/2.88  
% 10.68/2.88  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.68/2.88  
% 10.68/2.88  
% 10.68/2.88  % ------ 
% 10.68/2.88  % Current options:
% 10.68/2.88  % ------ 
% 10.68/2.88  
% 10.68/2.88  
% 10.68/2.88  % 
% 10.68/2.88  
% 10.68/2.88  % ------ Proving...
% 10.68/2.88  % 
% 10.68/2.88  
% 10.68/2.88  % SZS status Theorem for theBenchmark.p
% 10.68/2.88  
% 10.68/2.88  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.68/2.88  
% 10.68/2.88  
%------------------------------------------------------------------------------