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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SEU193+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/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 02:55:50 PM UTC 2026

% Result   : Theorem 3.31s 1.31s
% Output   : CNFRefutation 3.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   54 (  14 unt;   1 def)
%            Number of atoms       :  232 (  18 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  274 ( 113   ~; 117   |;  30   &)
%                                         (   6 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 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  :    6 (   4 usr;   2 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   2 con; 0-3 aty)
%            Number of variables   :  134 (   0 sgn 122   !;  12   ?;  32   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).

fof(f4,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1,X2] :
          ( relation(X2)
         => ( X2 = relation_dom_restriction(X0,X1)
          <=> ! [X3,X4] :
                ( in(ordered_pair(X3,X4),X2)
              <=> ( in(ordered_pair(X3,X4),X0)
                  & in(X3,X1) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_relat_1) ).

fof(f5,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation(X1)
         => ( subset(X0,X1)
          <=> ! [X2,X3] :
                ( in(ordered_pair(X2,X3),X0)
               => in(ordered_pair(X2,X3),X1) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_relat_1) ).

fof(f6,axiom,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( relation(X0)
     => relation(relation_dom_restriction(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_relat_1) ).

fof(f35,conjecture,
    ! [X0,X1] :
      ( relation(X1)
     => subset(relation_dom_restriction(X1,X0),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t88_relat_1) ).

fof(f36,negated_conjecture,
    ~ ! [X0,X1] :
        ( relation(X1)
       => subset(relation_dom_restriction(X1,X0),X1) ),
    inference(negated_conjecture,[status(cth)],[f35]) ).

fof(f41,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1,X2] :
          ( ~ relation(X2)
          | ( X2 = relation_dom_restriction(X0,X1)
          <=> ! [X3,X4] :
                ( in(ordered_pair(X3,X4),X2)
              <=> ( in(ordered_pair(X3,X4),X0)
                  & in(X3,X1) ) ) ) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f42,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ~ relation(X1)
          | ( subset(X0,X1)
          <=> ! [X2,X3] :
                ( ~ in(ordered_pair(X2,X3),X0)
                | in(ordered_pair(X2,X3),X1) ) ) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | relation(relation_dom_restriction(X0,X1)) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f53,plain,
    ? [X0,X1] :
      ( relation(X1)
      & ~ subset(relation_dom_restriction(X1,X0),X1) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f55,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1,X2] :
          ( ~ relation(X2)
          | ( ( relation_dom_restriction(X0,X1) != X2
              | ! [X3,X4] :
                  ( ( ~ in(ordered_pair(X3,X4),X2)
                    | ( in(ordered_pair(X3,X4),X0)
                      & in(X3,X1) ) )
                  & ( ~ in(ordered_pair(X3,X4),X0)
                    | ~ in(X3,X1)
                    | in(ordered_pair(X3,X4),X2) ) ) )
            & ( ? [X3,X4] :
                  ( ( in(ordered_pair(X3,X4),X2)
                    | ( in(ordered_pair(X3,X4),X0)
                      & in(X3,X1) ) )
                  & ( ~ in(ordered_pair(X3,X4),X2)
                    | ~ in(ordered_pair(X3,X4),X0)
                    | ~ in(X3,X1) ) )
              | X2 = relation_dom_restriction(X0,X1) ) ) ) ),
    inference(nnf_transformation,[],[f41]) ).

fof(f56,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1,X2] :
          ( ~ relation(X2)
          | ( ( relation_dom_restriction(X0,X1) != X2
              | ! [X3,X4] :
                  ( ( ~ in(ordered_pair(X3,X4),X2)
                    | ( in(ordered_pair(X3,X4),X0)
                      & in(X3,X1) ) )
                  & ( ~ in(ordered_pair(X3,X4),X0)
                    | ~ in(X3,X1)
                    | in(ordered_pair(X3,X4),X2) ) ) )
            & ( ? [X3,X4] :
                  ( ( in(ordered_pair(X3,X4),X2)
                    | ( in(ordered_pair(X3,X4),X0)
                      & in(X3,X1) ) )
                  & ( ~ in(ordered_pair(X3,X4),X2)
                    | ~ in(ordered_pair(X3,X4),X0)
                    | ~ in(X3,X1) ) )
              | X2 = relation_dom_restriction(X0,X1) ) ) ) ),
    inference(flattening,[],[f55]) ).

fof(f57,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1,X2] :
          ( ~ relation(X2)
          | ( ( relation_dom_restriction(X0,X1) != X2
              | ! [X5,X6] :
                  ( ( ~ in(ordered_pair(X5,X6),X2)
                    | ( in(ordered_pair(X5,X6),X0)
                      & in(X5,X1) ) )
                  & ( ~ in(ordered_pair(X5,X6),X0)
                    | ~ in(X5,X1)
                    | in(ordered_pair(X5,X6),X2) ) ) )
            & ( ? [X3,X4] :
                  ( ( in(ordered_pair(X3,X4),X2)
                    | ( in(ordered_pair(X3,X4),X0)
                      & in(X3,X1) ) )
                  & ( ~ in(ordered_pair(X3,X4),X2)
                    | ~ in(ordered_pair(X3,X4),X0)
                    | ~ in(X3,X1) ) )
              | X2 = relation_dom_restriction(X0,X1) ) ) ) ),
    inference(rectify,[],[f56]) ).

fof(f58,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1,X2] :
          ( ~ relation(X2)
          | ( ( relation_dom_restriction(X0,X1) != X2
              | ! [X5,X6] :
                  ( ( ~ in(ordered_pair(X5,X6),X2)
                    | ( in(ordered_pair(X5,X6),X0)
                      & in(X5,X1) ) )
                  & ( ~ in(ordered_pair(X5,X6),X0)
                    | ~ in(X5,X1)
                    | in(ordered_pair(X5,X6),X2) ) ) )
            & ( ( ( in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X2)
                  | ( in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X0)
                    & in(sK0(X0,X1,X2),X1) ) )
                & ( ~ in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X2)
                  | ~ in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X0)
                  | ~ in(sK0(X0,X1,X2),X1) ) )
              | X2 = relation_dom_restriction(X0,X1) ) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X3,sK0(X0,X1,X2)),skolemize(X4,sK1(X0,X1,X2))],[f57]) ).

fof(f59,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ~ relation(X1)
          | ( ( ~ subset(X0,X1)
              | ! [X2,X3] :
                  ( ~ in(ordered_pair(X2,X3),X0)
                  | in(ordered_pair(X2,X3),X1) ) )
            & ( ? [X2,X3] :
                  ( in(ordered_pair(X2,X3),X0)
                  & ~ in(ordered_pair(X2,X3),X1) )
              | subset(X0,X1) ) ) ) ),
    inference(nnf_transformation,[],[f42]) ).

fof(f60,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ~ relation(X1)
          | ( ( ~ subset(X0,X1)
              | ! [X4,X5] :
                  ( ~ in(ordered_pair(X4,X5),X0)
                  | in(ordered_pair(X4,X5),X1) ) )
            & ( ? [X2,X3] :
                  ( in(ordered_pair(X2,X3),X0)
                  & ~ in(ordered_pair(X2,X3),X1) )
              | subset(X0,X1) ) ) ) ),
    inference(rectify,[],[f59]) ).

fof(f61,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ~ relation(X1)
          | ( ( ~ subset(X0,X1)
              | ! [X4,X5] :
                  ( ~ in(ordered_pair(X4,X5),X0)
                  | in(ordered_pair(X4,X5),X1) ) )
            & ( ( in(ordered_pair(sK2(X0,X1),sK3(X0,X1)),X0)
                & ~ in(ordered_pair(sK2(X0,X1),sK3(X0,X1)),X1) )
              | subset(X0,X1) ) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X2,sK2(X0,X1)),skolemize(X3,sK3(X0,X1))],[f60]) ).

fof(f70,plain,
    ( relation(sK12)
    & ~ subset(relation_dom_restriction(sK12,sK11),sK12) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12]),skolemize(X0,sK11),skolemize(X1,sK12)],[f53]) ).

fof(f73,plain,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f74,plain,
    ! [X2,X0,X1,X6,X5] :
      ( ~ relation(X0)
      | ~ relation(X2)
      | relation_dom_restriction(X0,X1) != X2
      | ~ in(ordered_pair(X5,X6),X2)
      | in(ordered_pair(X5,X6),X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | ~ relation(X1)
      | in(ordered_pair(sK2(X0,X1),sK3(X0,X1)),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | ~ relation(X1)
      | ~ in(ordered_pair(sK2(X0,X1),sK3(X0,X1)),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f83,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    inference(cnf_transformation,[],[f6]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | relation(relation_dom_restriction(X0,X1)) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f112,plain,
    relation(sK12),
    inference(cnf_transformation,[],[f70]) ).

fof(f113,plain,
    ~ subset(relation_dom_restriction(sK12,sK11),sK12),
    inference(cnf_transformation,[],[f70]) ).

fof(f120,plain,
    ! [X2,X0,X1,X6,X5] :
      ( ~ relation(X0)
      | ~ relation(X2)
      | relation_dom_restriction(X0,X1) != X2
      | ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X2)
      | in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0) ),
    inference(definition_unfolding,[],[f74,f83,f83]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | ~ relation(X1)
      | ~ in(unordered_pair(unordered_pair(sK2(X0,X1),sK3(X0,X1)),singleton(sK2(X0,X1))),X1)
      | subset(X0,X1) ),
    inference(definition_unfolding,[],[f82,f83]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | ~ relation(X1)
      | in(unordered_pair(unordered_pair(sK2(X0,X1),sK3(X0,X1)),singleton(sK2(X0,X1))),X0)
      | subset(X0,X1) ),
    inference(definition_unfolding,[],[f81,f83]) ).

fof(f127,plain,
    ! [X0,X1,X6,X5] :
      ( ~ relation(X0)
      | ~ relation(relation_dom_restriction(X0,X1))
      | ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),relation_dom_restriction(X0,X1))
      | in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0) ),
    inference(equality_resolution,[],[f120]) ).

tcf(c_51,plain,
    ! [X0: $i,X1: $i] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
      | ~ relation(X2)
      | ~ relation(relation_dom_restriction(X2,X3))
      | ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_dom_restriction(X2,X3)) ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X0,X1)
      | ~ relation(X1)
      | ~ relation(X0)
      | ~ in(unordered_pair(unordered_pair(sK2(X0,X1),sK3(X0,X1)),singleton(sK2(X0,X1))),X1) ),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_59,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X1,X0)
      | in(unordered_pair(unordered_pair(sK2(X1,X0),sK3(X1,X0)),singleton(sK2(X1,X0))),X1)
      | ~ relation(X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_61,plain,
    ! [X0: $i,X1: $i] :
      ( relation(relation_dom_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_89,negated_conjecture,
    ~ subset(relation_dom_restriction(sK12,sK11),sK12),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_90,negated_conjecture,
    relation(sK12),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_134,plain,
    ! [X0: $i,X1: $i] :
      ( relation(relation_dom_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(prop_impl_just,[status(thm)],[c_61]) ).

tcf(c_281,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
      | ~ relation(X2)
      | ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_dom_restriction(X2,X3)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_57,c_134]) ).

tcf(c_471,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X2)
      | ~ relation(X2)
      | ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),relation_dom_restriction(X2,X3)) ),
    inference(demodulation,[status(thm)],[c_281,c_51]) ).

tcf(c_481,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X1,X0)
      | in(unordered_pair(singleton(sK2(X1,X0)),unordered_pair(sK2(X1,X0),sK3(X1,X0))),X1)
      | ~ relation(X1)
      | ~ relation(X0) ),
    inference(demodulation,[status(thm)],[c_59,c_51]) ).

tcf(c_494,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X0,X1)
      | ~ relation(X1)
      | ~ relation(X0)
      | ~ in(unordered_pair(singleton(sK2(X0,X1)),unordered_pair(sK2(X0,X1),sK3(X0,X1))),X1) ),
    inference(demodulation,[status(thm)],[c_58,c_51]) ).

tcf(c_1752,definition,
    iPr_def_10 = relation_dom_restriction(sK12,sK11),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_1753,negated_conjecture,
    relation(sK12),
    inference(demodulation,[status(thm)],[c_90]) ).

tcf(c_1754,negated_conjecture,
    ~ subset(iPr_def_10,sK12),
    inference(demodulation,[status(thm)],[c_89,c_1752]) ).

tcf(c_2492,plain,
    ( relation(iPr_def_10)
    | ~ relation(sK12) ),
    inference(superposition,[status(thm)],[c_1752,c_61]) ).

tcf(c_2493,plain,
    relation(iPr_def_10),
    inference(forward_subsumption_resolution,[status(thm)],[c_2492,c_1753]) ).

tcf(c_2611,plain,
    ! [X0: $i,X1: $i] :
      ( in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK12)
      | ~ relation(sK12)
      | ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),iPr_def_10) ),
    inference(superposition,[status(thm)],[c_1752,c_471]) ).

tcf(c_2612,plain,
    ! [X0: $i,X1: $i] :
      ( in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK12)
      | ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),iPr_def_10) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2611,c_1753]) ).

tcf(c_2723,plain,
    ! [X0: $i] :
      ( subset(iPr_def_10,X0)
      | in(unordered_pair(singleton(sK2(iPr_def_10,X0)),unordered_pair(sK2(iPr_def_10,X0),sK3(iPr_def_10,X0))),sK12)
      | ~ relation(iPr_def_10)
      | ~ relation(X0) ),
    inference(superposition,[status(thm)],[c_481,c_2612]) ).

tcf(c_2728,plain,
    ! [X0: $i] :
      ( subset(iPr_def_10,X0)
      | in(unordered_pair(singleton(sK2(iPr_def_10,X0)),unordered_pair(sK2(iPr_def_10,X0),sK3(iPr_def_10,X0))),sK12)
      | ~ relation(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2723,c_2493]) ).

tcf(c_2855,plain,
    ( subset(iPr_def_10,sK12)
    | ~ relation(iPr_def_10)
    | ~ relation(sK12) ),
    inference(superposition,[status(thm)],[c_2728,c_494]) ).

tcf(c_2856,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_2855,c_1754,c_2493,c_1753]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU193+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.39  % Computer : n018.cluster.edu
% 0.10/0.39  % Model    : x86_64 x86_64
% 0.10/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39  % Memory   : 8046.5625MB
% 0.10/0.39  % OS       : Linux 6.8.0-71-generic
% 0.10/0.39  % CPULimit : 300
% 0.10/0.39  % WCLimit  : 300
% 0.10/0.39  % DateTime : Thu Sep 24 13:09:50 UTC 2026
% 0.10/0.39  % CPUTime  : 
% 0.10/0.39  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.43  Running first-order theorem proving
% 0.10/0.43  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
% 0.10/0.44  
% 0.10/0.44  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.44  
% 0.10/0.44  % Detected problem language: tptp
% 0.10/0.45  % Proving...
% 3.31/1.31  % SZS status Started for theBenchmark.p
% 3.31/1.31  % SZS status Theorem for theBenchmark.p
% 3.31/1.31  
% 3.31/1.31  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.31/1.31  
% 3.31/1.31  % ------  iProver source info
% 3.31/1.31  
% 3.31/1.31  % git: date: 2026-07-19 20:42:38 +0200
% 3.31/1.31  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.31/1.31  % git: non_committed_changes: false
% 3.31/1.31  
% 3.31/1.31  % ------ Parsing...
% 3.31/1.31  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.31/1.31  
% 3.31/1.31  % ------ Preprocessing... sup_sim: 9  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 % 
% 3.31/1.31  
% 3.31/1.31  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 3.31/1.31  
% 3.31/1.31  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.31/1.31  % ------ Proving...
% 3.31/1.31  % ------ Problem Properties 
% 3.31/1.31  
% 3.31/1.31  % 
% 3.31/1.31  % clauses                               42
% 3.31/1.31  % conjectures                           2
% 3.31/1.31  % EPR                                   21
% 3.31/1.31  % Horn                                  37
% 3.31/1.31  % unary                                 19
% 3.31/1.31  % binary                                10
% 3.31/1.31  % lits                                  88
% 3.31/1.31  % lits eq                               7
% 3.31/1.31  % fd_pure                               0
% 3.31/1.31  % fd_pseudo                             0
% 3.31/1.31  % fd_cond                               1
% 3.31/1.31  % fd_pseudo_cond                        4
% 3.31/1.31  % AC symbols                            0
% 3.31/1.31  
% 3.31/1.31  % ------ Schedule dynamic 5 is on 
% 3.31/1.31  
% 3.31/1.31  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.31/1.31  
% 3.31/1.31  
% 3.31/1.31  % ------ 
% 3.31/1.31  % Current options:
% 3.31/1.31  % ------ 
% 3.31/1.31  
% 3.31/1.31  
% 3.31/1.31  % 
% 3.31/1.31  
% 3.31/1.31  % ------ Proving...
% 3.31/1.31  % 
% 3.31/1.31  
% 3.31/1.31  % SZS status Theorem for theBenchmark.p
% 3.31/1.31  
% 3.31/1.31  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.31/1.31  
% 3.31/1.31  
%------------------------------------------------------------------------------