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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SEU037+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n018.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 02:55:06 PM UTC 2026

% Result   : Theorem 2.54s 1.28s
% Output   : CNFRefutation 2.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   69 (  28 unt;   5 def)
%            Number of atoms       :  253 (  71 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  274 ( 116   ~; 109   |;  36   &)
%                                         (   3 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   11 (   9 usr;   6 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :  110 (   0 sgn 101   !;   9   ?;  29   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( relation(X0)
     => relation(relation_dom_restriction(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_relat_1) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ( relation_empty_yielding(X0)
        & relation(X0) )
     => ( relation_empty_yielding(relation_dom_restriction(X0,X1))
        & relation(relation_dom_restriction(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc13_relat_1) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( ( function(X0)
        & relation(X0) )
     => ( function(relation_dom_restriction(X0,X1))
        & relation(relation_dom_restriction(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_funct_1) ).

fof(f35,axiom,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ! [X2] :
          ( ( function(X2)
            & relation(X2) )
         => ( X1 = relation_dom_restriction(X2,X0)
          <=> ( ! [X3] :
                  ( in(X3,relation_dom(X1))
                 => apply(X1,X3) = apply(X2,X3) )
              & relation_dom(X1) = set_intersection2(relation_dom(X2),X0) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t68_funct_1) ).

fof(f37,conjecture,
    ! [X0,X1,X2] :
      ( ( function(X2)
        & relation(X2) )
     => ( in(X1,set_intersection2(relation_dom(X2),X0))
       => apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t71_funct_1) ).

fof(f38,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( function(X2)
          & relation(X2) )
       => ( in(X1,set_intersection2(relation_dom(X2),X0))
         => apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1) ) ),
    inference(negated_conjecture,[status(cth)],[f37]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | relation(relation_dom_restriction(X0,X1)) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ~ relation_empty_yielding(X0)
      | ~ relation(X0)
      | ( relation_empty_yielding(relation_dom_restriction(X0,X1))
        & relation(relation_dom_restriction(X0,X1)) ) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ~ relation_empty_yielding(X0)
      | ~ relation(X0)
      | ( relation_empty_yielding(relation_dom_restriction(X0,X1))
        & relation(relation_dom_restriction(X0,X1)) ) ),
    inference(flattening,[],[f52]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ( function(relation_dom_restriction(X0,X1))
        & relation(relation_dom_restriction(X0,X1)) ) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ( function(relation_dom_restriction(X0,X1))
        & relation(relation_dom_restriction(X0,X1)) ) ),
    inference(flattening,[],[f56]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ! [X2] :
          ( ~ function(X2)
          | ~ relation(X2)
          | ( X1 = relation_dom_restriction(X2,X0)
          <=> ( ! [X3] :
                  ( ~ in(X3,relation_dom(X1))
                  | apply(X1,X3) = apply(X2,X3) )
              & relation_dom(X1) = set_intersection2(relation_dom(X2),X0) ) ) ) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ! [X2] :
          ( ~ function(X2)
          | ~ relation(X2)
          | ( X1 = relation_dom_restriction(X2,X0)
          <=> ( ! [X3] :
                  ( ~ in(X3,relation_dom(X1))
                  | apply(X1,X3) = apply(X2,X3) )
              & relation_dom(X1) = set_intersection2(relation_dom(X2),X0) ) ) ) ),
    inference(flattening,[],[f69]) ).

fof(f72,plain,
    ? [X0,X1,X2] :
      ( function(X2)
      & relation(X2)
      & in(X1,set_intersection2(relation_dom(X2),X0))
      & apply(relation_dom_restriction(X2,X0),X1) != apply(X2,X1) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f73,plain,
    ? [X0,X1,X2] :
      ( function(X2)
      & relation(X2)
      & in(X1,set_intersection2(relation_dom(X2),X0))
      & apply(relation_dom_restriction(X2,X0),X1) != apply(X2,X1) ),
    inference(flattening,[],[f72]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ! [X2] :
          ( ~ function(X2)
          | ~ relation(X2)
          | ( ( relation_dom_restriction(X2,X0) != X1
              | ( ! [X3] :
                    ( ~ in(X3,relation_dom(X1))
                    | apply(X1,X3) = apply(X2,X3) )
                & relation_dom(X1) = set_intersection2(relation_dom(X2),X0) ) )
            & ( ? [X3] :
                  ( in(X3,relation_dom(X1))
                  & apply(X1,X3) != apply(X2,X3) )
              | relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
              | X1 = relation_dom_restriction(X2,X0) ) ) ) ),
    inference(nnf_transformation,[],[f70]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ! [X2] :
          ( ~ function(X2)
          | ~ relation(X2)
          | ( ( relation_dom_restriction(X2,X0) != X1
              | ( ! [X3] :
                    ( ~ in(X3,relation_dom(X1))
                    | apply(X1,X3) = apply(X2,X3) )
                & relation_dom(X1) = set_intersection2(relation_dom(X2),X0) ) )
            & ( ? [X3] :
                  ( in(X3,relation_dom(X1))
                  & apply(X1,X3) != apply(X2,X3) )
              | relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
              | X1 = relation_dom_restriction(X2,X0) ) ) ) ),
    inference(flattening,[],[f87]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ! [X2] :
          ( ~ function(X2)
          | ~ relation(X2)
          | ( ( relation_dom_restriction(X2,X0) != X1
              | ( ! [X4] :
                    ( ~ in(X4,relation_dom(X1))
                    | apply(X1,X4) = apply(X2,X4) )
                & relation_dom(X1) = set_intersection2(relation_dom(X2),X0) ) )
            & ( ? [X3] :
                  ( in(X3,relation_dom(X1))
                  & apply(X1,X3) != apply(X2,X3) )
              | relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
              | X1 = relation_dom_restriction(X2,X0) ) ) ) ),
    inference(rectify,[],[f88]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ! [X2] :
          ( ~ function(X2)
          | ~ relation(X2)
          | ( ( relation_dom_restriction(X2,X0) != X1
              | ( ! [X4] :
                    ( ~ in(X4,relation_dom(X1))
                    | apply(X1,X4) = apply(X2,X4) )
                & relation_dom(X1) = set_intersection2(relation_dom(X2),X0) ) )
            & ( ( in(sK11(X1,X2),relation_dom(X1))
                & apply(X1,sK11(X1,X2)) != apply(X2,sK11(X1,X2)) )
              | relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
              | X1 = relation_dom_restriction(X2,X0) ) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X3,sK11(X1,X2))],[f89]) ).

fof(f91,plain,
    ( function(sK14)
    & relation(sK14)
    & in(sK13,set_intersection2(relation_dom(sK14),sK12))
    & apply(relation_dom_restriction(sK14,sK12),sK13) != apply(sK14,sK13) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13,sK14]),skolemize(X0,sK12),skolemize(X1,sK13),skolemize(X2,sK14)],[f73]) ).

fof(f97,plain,
    ! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | relation(relation_dom_restriction(X0,X1)) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ~ relation_empty_yielding(X0)
      | ~ relation(X0)
      | relation(relation_dom_restriction(X0,X1)) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ~ function(X0)
      | ~ relation(X0)
      | function(relation_dom_restriction(X0,X1)) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f142,plain,
    ! [X2,X0,X1,X4] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ~ function(X2)
      | ~ relation(X2)
      | relation_dom_restriction(X2,X0) != X1
      | ~ in(X4,relation_dom(X1))
      | apply(X1,X4) = apply(X2,X4) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f143,plain,
    ! [X2,X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ~ function(X2)
      | ~ relation(X2)
      | relation_dom_restriction(X2,X0) != X1
      | relation_dom(X1) = set_intersection2(relation_dom(X2),X0) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f147,plain,
    function(sK14),
    inference(cnf_transformation,[],[f91]) ).

fof(f148,plain,
    relation(sK14),
    inference(cnf_transformation,[],[f91]) ).

fof(f149,plain,
    in(sK13,set_intersection2(relation_dom(sK14),sK12)),
    inference(cnf_transformation,[],[f91]) ).

fof(f150,plain,
    apply(relation_dom_restriction(sK14,sK12),sK13) != apply(sK14,sK13),
    inference(cnf_transformation,[],[f91]) ).

fof(f153,plain,
    ! [X2,X0] :
      ( ~ function(relation_dom_restriction(X2,X0))
      | ~ relation(relation_dom_restriction(X2,X0))
      | ~ function(X2)
      | ~ relation(X2)
      | set_intersection2(relation_dom(X2),X0) = relation_dom(relation_dom_restriction(X2,X0)) ),
    inference(equality_resolution,[],[f143]) ).

fof(f154,plain,
    ! [X2,X0,X4] :
      ( ~ function(relation_dom_restriction(X2,X0))
      | ~ relation(relation_dom_restriction(X2,X0))
      | ~ function(X2)
      | ~ relation(X2)
      | ~ in(X4,relation_dom(relation_dom_restriction(X2,X0)))
      | apply(X2,X4) = apply(relation_dom_restriction(X2,X0),X4) ),
    inference(equality_resolution,[],[f142]) ).

tcf(c_52,plain,
    ! [X0: $i,X1: $i] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
    inference(cnf_transformation,[],[f97]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i] :
      ( relation(relation_dom_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i] :
      ( relation(relation_dom_restriction(X0,X1))
      | ~ relation_empty_yielding(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_64,plain,
    ! [X0: $i,X1: $i] :
      ( function(relation_dom_restriction(X0,X1))
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_99,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_intersection2(relation_dom(X0),X1) = relation_dom(relation_dom_restriction(X0,X1)) )
      | ~ relation(X0)
      | ~ function(X0)
      | ~ relation(relation_dom_restriction(X0,X1))
      | ~ function(relation_dom_restriction(X0,X1)) ),
    inference(cnf_transformation,[],[f153]) ).

tcf(c_100,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( apply(relation_dom_restriction(X1,X2),X0) = apply(X1,X0) )
      | ~ relation(X1)
      | ~ function(X1)
      | ~ relation(relation_dom_restriction(X1,X2))
      | ~ function(relation_dom_restriction(X1,X2))
      | ~ in(X0,relation_dom(relation_dom_restriction(X1,X2))) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_102,negated_conjecture,
    apply(relation_dom_restriction(sK14,sK12),sK13) != apply(sK14,sK13),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_103,negated_conjecture,
    in(sK13,set_intersection2(relation_dom(sK14),sK12)),
    inference(cnf_transformation,[],[f149]) ).

tcf(c_104,negated_conjecture,
    relation(sK14),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_105,negated_conjecture,
    function(sK14),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_135,plain,
    ! [X0: $i,X1: $i] :
      ( relation(relation_dom_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_58,c_53]) ).

tcf(c_137,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_intersection2(relation_dom(X0),X1) = relation_dom(relation_dom_restriction(X0,X1)) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_99,c_53,c_64,c_99]) ).

tcf(c_240,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( apply(relation_dom_restriction(X1,X2),X0) = apply(X1,X0) )
      | ~ relation(X1)
      | ~ function(X1)
      | ~ function(relation_dom_restriction(X1,X2))
      | ~ in(X0,relation_dom(relation_dom_restriction(X1,X2))) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_100,c_135]) ).

tcf(c_280,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( apply(relation_dom_restriction(X1,X2),X0) = apply(X1,X0) )
      | ~ relation(X1)
      | ~ function(X1)
      | ~ in(X0,relation_dom(relation_dom_restriction(X1,X2))) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_240,c_64]) ).

tcf(c_384,plain,
    in(sK13,set_intersection2(sK12,relation_dom(sK14))),
    inference(demodulation,[status(thm)],[c_103,c_52]) ).

tcf(c_821,definition,
    iPr_def_10 = relation_dom(sK14),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_822,definition,
    iPr_def_11 = set_intersection2(sK12,iPr_def_10),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_823,definition,
    iPr_def_12 = relation_dom_restriction(sK14,sK12),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_824,definition,
    iPr_def_13 = apply(iPr_def_12,sK13),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_825,definition,
    iPr_def_14 = apply(sK14,sK13),
    introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).

tcf(c_826,plain,
    in(sK13,iPr_def_11),
    inference(demodulation,[status(thm)],[c_384,c_821,c_822]) ).

tcf(c_827,negated_conjecture,
    function(sK14),
    inference(demodulation,[status(thm)],[c_105]) ).

tcf(c_828,negated_conjecture,
    relation(sK14),
    inference(demodulation,[status(thm)],[c_104]) ).

tcf(c_829,negated_conjecture,
    iPr_def_13 != iPr_def_14,
    inference(demodulation,[status(thm)],[c_102,c_825,c_823,c_824]) ).

tcf(c_1365,plain,
    set_intersection2(iPr_def_10,sK12) = iPr_def_11,
    inference(demodulation,[status(thm)],[c_822,c_52]) ).

tcf(c_1481,plain,
    ! [X0: $i] :
      ( ( set_intersection2(relation_dom(sK14),X0) = relation_dom(relation_dom_restriction(sK14,X0)) )
      | ~ relation(sK14) ),
    inference(superposition,[status(thm)],[c_827,c_137]) ).

tcf(c_1485,plain,
    ! [X0: $i] :
      ( ( relation_dom(relation_dom_restriction(sK14,X0)) = set_intersection2(iPr_def_10,X0) )
      | ~ relation(sK14) ),
    inference(light_normalisation,[status(thm)],[c_1481,c_821]) ).

tcf(c_1486,plain,
    ! [X0: $i] : relation_dom(relation_dom_restriction(sK14,X0)) = set_intersection2(iPr_def_10,X0),
    inference(forward_subsumption_resolution,[status(thm)],[c_1485,c_828]) ).

tcf(c_1547,plain,
    set_intersection2(iPr_def_10,sK12) = relation_dom(iPr_def_12),
    inference(superposition,[status(thm)],[c_823,c_1486]) ).

tcf(c_1552,plain,
    relation_dom(iPr_def_12) = iPr_def_11,
    inference(light_normalisation,[status(thm)],[c_1547,c_1365]) ).

tcf(c_1802,plain,
    ! [X0: $i] :
      ( ( apply(relation_dom_restriction(sK14,sK12),X0) = apply(sK14,X0) )
      | ~ relation(sK14)
      | ~ function(sK14)
      | ~ in(X0,relation_dom(iPr_def_12)) ),
    inference(superposition,[status(thm)],[c_823,c_280]) ).

tcf(c_1803,plain,
    ! [X0: $i] :
      ( ( apply(sK14,X0) = apply(iPr_def_12,X0) )
      | ~ relation(sK14)
      | ~ function(sK14)
      | ~ in(X0,iPr_def_11) ),
    inference(light_normalisation,[status(thm)],[c_1802,c_823,c_1552]) ).

tcf(c_1804,plain,
    ! [X0: $i] :
      ( ( apply(sK14,X0) = apply(iPr_def_12,X0) )
      | ~ in(X0,iPr_def_11) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1803,c_828,c_827]) ).

tcf(c_1992,plain,
    apply(sK14,sK13) = apply(iPr_def_12,sK13),
    inference(superposition,[status(thm)],[c_826,c_1804]) ).

tcf(c_1994,plain,
    iPr_def_13 = iPr_def_14,
    inference(light_normalisation,[status(thm)],[c_1992,c_824,c_825]) ).

tcf(c_1995,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1994,c_829]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU037+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n018.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 12:39:03 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41  Running first-order theorem proving
% 0.09/0.41  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
% 0.09/0.42  
% 0.09/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42  
% 0.09/0.42  % Detected problem language: tptp
% 0.09/0.43  % Proving...
% 2.54/1.28  % SZS status Started for theBenchmark.p
% 2.54/1.28  % SZS status Theorem for theBenchmark.p
% 2.54/1.28  
% 2.54/1.28  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.54/1.28  
% 2.54/1.28  % ------  iProver source info
% 2.54/1.28  
% 2.54/1.28  % git: date: 2026-07-19 20:42:38 +0200
% 2.54/1.28  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.54/1.28  % git: non_committed_changes: false
% 2.54/1.28  
% 2.54/1.28  % ------ Parsing...
% 2.54/1.28  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 2.54/1.28  
% 2.54/1.28  % ------ Preprocessing... sup_sim: 1  sf_s  rm: 5 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e % 
% 2.54/1.28  
% 2.54/1.28  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 2.54/1.28  
% 2.54/1.28  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.54/1.28  % ------ Proving...
% 2.54/1.28  % ------ Problem Properties 
% 2.54/1.28  
% 2.54/1.28  % 
% 2.54/1.28  % clauses                               55
% 2.54/1.28  % conjectures                           3
% 2.54/1.28  % EPR                                   28
% 2.54/1.28  % Horn                                  52
% 2.54/1.28  % unary                                 33
% 2.54/1.28  % binary                                11
% 2.54/1.28  % lits                                  97
% 2.54/1.28  % lits eq                               18
% 2.54/1.28  % fd_pure                               0
% 2.54/1.28  % fd_pseudo                             0
% 2.54/1.28  % fd_cond                               1
% 2.54/1.28  % fd_pseudo_cond                        3
% 2.54/1.28  % AC symbols                            0
% 2.54/1.28  
% 2.54/1.28  % ------ Schedule dynamic 5 is on 
% 2.54/1.28  
% 2.54/1.28  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.54/1.28  
% 2.54/1.28  
% 2.54/1.28  % ------ 
% 2.54/1.28  % Current options:
% 2.54/1.28  % ------ 
% 2.54/1.28  
% 2.54/1.28  
% 2.54/1.28  % 
% 2.54/1.28  
% 2.54/1.28  % ------ Proving...
% 2.54/1.28  % 
% 2.54/1.28  
% 2.54/1.28  % SZS status Theorem for theBenchmark.p
% 2.54/1.28  
% 2.54/1.28  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.54/1.28  
% 2.54/1.28  
%------------------------------------------------------------------------------