TSTP Solution File: GEO201+2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GEO201+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 02:16:54 EDT 2024

% Result   : Theorem 2.92s 1.19s
% Output   : CNFRefutation 2.92s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : ~ distinct_points(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart1) ).

fof(f3,axiom,
    ! [X0] : ~ convergent_lines(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart3) ).

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( distinct_points(X0,X1)
     => ( distinct_points(X1,X2)
        | distinct_points(X0,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart4) ).

fof(f6,axiom,
    ! [X0,X1,X2] :
      ( convergent_lines(X0,X1)
     => ( convergent_lines(X1,X2)
        | convergent_lines(X0,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart6) ).

fof(f8,axiom,
    ! [X0,X1,X2] :
      ( convergent_lines(X0,X1)
     => ( ( apart_point_and_line(X2,X1)
          | apart_point_and_line(X2,X0) )
       => distinct_points(X2,intersection_point(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con2) ).

fof(f9,axiom,
    ! [X0,X1,X3,X4] :
      ( ( distinct_lines(X3,X4)
        & distinct_points(X0,X1) )
     => ( apart_point_and_line(X1,X4)
        | apart_point_and_line(X1,X3)
        | apart_point_and_line(X0,X4)
        | apart_point_and_line(X0,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).

fof(f10,axiom,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X1)
     => ( apart_point_and_line(X2,X1)
        | distinct_points(X0,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq1) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( convergent_lines(X0,X1)
     => distinct_lines(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).

fof(f13,conjecture,
    ! [X0,X1] :
      ( convergent_lines(X0,X1)
     => ~ distinct_points(intersection_point(X0,X1),intersection_point(X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

fof(f14,negated_conjecture,
    ~ ! [X0,X1] :
        ( convergent_lines(X0,X1)
       => ~ distinct_points(intersection_point(X0,X1),intersection_point(X1,X0)) ),
    inference(negated_conjecture,[],[f13]) ).

fof(f15,plain,
    ! [X0,X1,X2,X3] :
      ( ( distinct_lines(X2,X3)
        & distinct_points(X0,X1) )
     => ( apart_point_and_line(X1,X3)
        | apart_point_and_line(X1,X2)
        | apart_point_and_line(X0,X3)
        | apart_point_and_line(X0,X2) ) ),
    inference(rectify,[],[f9]) ).

fof(f16,plain,
    ! [X0,X1,X2] :
      ( distinct_points(X1,X2)
      | distinct_points(X0,X2)
      | ~ distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f4]) ).

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

fof(f20,plain,
    ! [X0,X1,X2] :
      ( convergent_lines(X1,X2)
      | convergent_lines(X0,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f21,plain,
    ! [X0,X1,X2] :
      ( convergent_lines(X1,X2)
      | convergent_lines(X0,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(flattening,[],[f20]) ).

fof(f24,plain,
    ! [X0,X1,X2] :
      ( distinct_points(X2,intersection_point(X0,X1))
      | ( ~ apart_point_and_line(X2,X1)
        & ~ apart_point_and_line(X2,X0) )
      | ~ convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f25,plain,
    ! [X0,X1,X2] :
      ( distinct_points(X2,intersection_point(X0,X1))
      | ( ~ apart_point_and_line(X2,X1)
        & ~ apart_point_and_line(X2,X0) )
      | ~ convergent_lines(X0,X1) ),
    inference(flattening,[],[f24]) ).

fof(f26,plain,
    ! [X0,X1,X2,X3] :
      ( apart_point_and_line(X1,X3)
      | apart_point_and_line(X1,X2)
      | apart_point_and_line(X0,X3)
      | apart_point_and_line(X0,X2)
      | ~ distinct_lines(X2,X3)
      | ~ distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f27,plain,
    ! [X0,X1,X2,X3] :
      ( apart_point_and_line(X1,X3)
      | apart_point_and_line(X1,X2)
      | apart_point_and_line(X0,X3)
      | apart_point_and_line(X0,X2)
      | ~ distinct_lines(X2,X3)
      | ~ distinct_points(X0,X1) ),
    inference(flattening,[],[f26]) ).

fof(f28,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X2,X1)
      | distinct_points(X0,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f29,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X2,X1)
      | distinct_points(X0,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(flattening,[],[f28]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( distinct_lines(X0,X1)
      | ~ convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f33,plain,
    ? [X0,X1] :
      ( distinct_points(intersection_point(X0,X1),intersection_point(X1,X0))
      & convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f34,plain,
    ( ? [X0,X1] :
        ( distinct_points(intersection_point(X0,X1),intersection_point(X1,X0))
        & convergent_lines(X0,X1) )
   => ( distinct_points(intersection_point(sK0,sK1),intersection_point(sK1,sK0))
      & convergent_lines(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f35,plain,
    ( distinct_points(intersection_point(sK0,sK1),intersection_point(sK1,sK0))
    & convergent_lines(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f33,f34]) ).

fof(f36,plain,
    ! [X0] : ~ distinct_points(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f38,plain,
    ! [X0] : ~ convergent_lines(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f39,plain,
    ! [X2,X0,X1] :
      ( distinct_points(X1,X2)
      | distinct_points(X0,X2)
      | ~ distinct_points(X0,X1) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f41,plain,
    ! [X2,X0,X1] :
      ( convergent_lines(X1,X2)
      | convergent_lines(X0,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f44,plain,
    ! [X2,X0,X1] :
      ( distinct_points(X2,intersection_point(X0,X1))
      | ~ apart_point_and_line(X2,X0)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f45,plain,
    ! [X2,X0,X1] :
      ( distinct_points(X2,intersection_point(X0,X1))
      | ~ apart_point_and_line(X2,X1)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f46,plain,
    ! [X2,X3,X0,X1] :
      ( apart_point_and_line(X1,X3)
      | apart_point_and_line(X1,X2)
      | apart_point_and_line(X0,X3)
      | apart_point_and_line(X0,X2)
      | ~ distinct_lines(X2,X3)
      | ~ distinct_points(X0,X1) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f47,plain,
    ! [X2,X0,X1] :
      ( apart_point_and_line(X2,X1)
      | distinct_points(X0,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( distinct_lines(X0,X1)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f50,plain,
    convergent_lines(sK0,sK1),
    inference(cnf_transformation,[],[f35]) ).

fof(f51,plain,
    distinct_points(intersection_point(sK0,sK1),intersection_point(sK1,sK0)),
    inference(cnf_transformation,[],[f35]) ).

cnf(c_49,plain,
    ~ distinct_points(X0,X0),
    inference(cnf_transformation,[],[f36]) ).

cnf(c_51,plain,
    ~ convergent_lines(X0,X0),
    inference(cnf_transformation,[],[f38]) ).

cnf(c_52,plain,
    ( ~ distinct_points(X0,X1)
    | distinct_points(X0,X2)
    | distinct_points(X1,X2) ),
    inference(cnf_transformation,[],[f39]) ).

cnf(c_54,plain,
    ( ~ convergent_lines(X0,X1)
    | convergent_lines(X0,X2)
    | convergent_lines(X1,X2) ),
    inference(cnf_transformation,[],[f41]) ).

cnf(c_57,plain,
    ( ~ convergent_lines(X0,X1)
    | ~ apart_point_and_line(X2,X1)
    | distinct_points(X2,intersection_point(X0,X1)) ),
    inference(cnf_transformation,[],[f45]) ).

cnf(c_58,plain,
    ( ~ convergent_lines(X0,X1)
    | ~ apart_point_and_line(X2,X0)
    | distinct_points(X2,intersection_point(X0,X1)) ),
    inference(cnf_transformation,[],[f44]) ).

cnf(c_59,plain,
    ( ~ distinct_points(X0,X1)
    | ~ distinct_lines(X2,X3)
    | apart_point_and_line(X0,X2)
    | apart_point_and_line(X0,X3)
    | apart_point_and_line(X1,X2)
    | apart_point_and_line(X1,X3) ),
    inference(cnf_transformation,[],[f46]) ).

cnf(c_60,plain,
    ( ~ apart_point_and_line(X0,X1)
    | distinct_points(X0,X2)
    | apart_point_and_line(X2,X1) ),
    inference(cnf_transformation,[],[f47]) ).

cnf(c_62,plain,
    ( ~ convergent_lines(X0,X1)
    | distinct_lines(X0,X1) ),
    inference(cnf_transformation,[],[f49]) ).

cnf(c_63,negated_conjecture,
    distinct_points(intersection_point(sK0,sK1),intersection_point(sK1,sK0)),
    inference(cnf_transformation,[],[f51]) ).

cnf(c_64,negated_conjecture,
    convergent_lines(sK0,sK1),
    inference(cnf_transformation,[],[f50]) ).

cnf(c_65,plain,
    ~ convergent_lines(sK0,sK0),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_148,plain,
    intersection_point(sK0,sK1) = sP0_iProver_def,
    definition ).

cnf(c_149,plain,
    intersection_point(sK1,sK0) = sP1_iProver_def,
    definition ).

cnf(c_150,negated_conjecture,
    convergent_lines(sK0,sK1),
    inference(demodulation,[status(thm)],[c_64]) ).

cnf(c_151,negated_conjecture,
    distinct_points(sP0_iProver_def,sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_63,c_149,c_148]) ).

cnf(c_152,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_155,plain,
    ( X0 != X1
    | X2 != X3
    | ~ distinct_points(X1,X3)
    | distinct_points(X0,X2) ),
    theory(equality) ).

cnf(c_406,plain,
    distinct_lines(sK0,sK1),
    inference(superposition,[status(thm)],[c_150,c_62]) ).

cnf(c_429,plain,
    ( convergent_lines(sK0,X0)
    | convergent_lines(sK1,X0) ),
    inference(superposition,[status(thm)],[c_150,c_54]) ).

cnf(c_432,plain,
    ( convergent_lines(sK0,sK0)
    | convergent_lines(sK1,sK0) ),
    inference(instantiation,[status(thm)],[c_429]) ).

cnf(c_630,plain,
    ( ~ apart_point_and_line(X0,sK1)
    | ~ convergent_lines(sK0,sK1)
    | distinct_points(X0,intersection_point(sK0,sK1)) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_685,plain,
    ( X0 != sP0_iProver_def
    | X1 != sP1_iProver_def
    | ~ distinct_points(sP0_iProver_def,sP1_iProver_def)
    | distinct_points(X0,X1) ),
    inference(instantiation,[status(thm)],[c_155]) ).

cnf(c_769,plain,
    ( ~ apart_point_and_line(X0,sK0)
    | ~ convergent_lines(sK1,sK0)
    | distinct_points(X0,sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_149,c_57]) ).

cnf(c_793,plain,
    ( ~ apart_point_and_line(X0,sK1)
    | ~ convergent_lines(sK1,sK0)
    | distinct_points(X0,sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_149,c_58]) ).

cnf(c_937,plain,
    ( intersection_point(sK0,sK1) != sP0_iProver_def
    | X0 != sP1_iProver_def
    | ~ distinct_points(sP0_iProver_def,sP1_iProver_def)
    | distinct_points(intersection_point(sK0,sK1),X0) ),
    inference(instantiation,[status(thm)],[c_685]) ).

cnf(c_950,plain,
    ( distinct_points(sP0_iProver_def,X0)
    | distinct_points(sP1_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_151,c_52]) ).

cnf(c_1111,plain,
    ( distinct_points(X0,X1)
    | distinct_points(sP0_iProver_def,X0)
    | distinct_points(sP1_iProver_def,X1) ),
    inference(superposition,[status(thm)],[c_950,c_52]) ).

cnf(c_1450,plain,
    ( intersection_point(sK0,sK1) != sP0_iProver_def
    | sP1_iProver_def != sP1_iProver_def
    | ~ distinct_points(sP0_iProver_def,sP1_iProver_def)
    | distinct_points(intersection_point(sK0,sK1),sP1_iProver_def) ),
    inference(instantiation,[status(thm)],[c_937]) ).

cnf(c_1451,plain,
    sP1_iProver_def = sP1_iProver_def,
    inference(instantiation,[status(thm)],[c_152]) ).

cnf(c_1460,plain,
    ( distinct_points(X0,sP1_iProver_def)
    | distinct_points(sP0_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_1111,c_49]) ).

cnf(c_1495,plain,
    ( ~ apart_point_and_line(X0,X1)
    | ~ convergent_lines(X1,sK1)
    | distinct_points(X0,intersection_point(X1,sK1)) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_1669,plain,
    ( ~ distinct_points(sP1_iProver_def,X0)
    | distinct_points(X0,X1)
    | distinct_points(sP1_iProver_def,X1) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_2056,plain,
    ( distinct_points(X0,X1)
    | distinct_points(X0,sP1_iProver_def)
    | distinct_points(sP0_iProver_def,X1) ),
    inference(superposition,[status(thm)],[c_1460,c_52]) ).

cnf(c_2065,plain,
    ( ~ apart_point_and_line(sP1_iProver_def,sK0)
    | distinct_points(sP1_iProver_def,X0)
    | apart_point_and_line(X0,sK0) ),
    inference(instantiation,[status(thm)],[c_60]) ).

cnf(c_2088,plain,
    ( ~ apart_point_and_line(sP1_iProver_def,X0)
    | apart_point_and_line(X1,X0)
    | distinct_points(sP1_iProver_def,X1) ),
    inference(instantiation,[status(thm)],[c_60]) ).

cnf(c_2267,plain,
    ( ~ distinct_points(sP1_iProver_def,X0)
    | distinct_points(X0,sP1_iProver_def)
    | distinct_points(sP1_iProver_def,sP1_iProver_def) ),
    inference(instantiation,[status(thm)],[c_1669]) ).

cnf(c_2268,plain,
    ~ distinct_points(sP1_iProver_def,sP1_iProver_def),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_2356,plain,
    ( ~ distinct_lines(X0,X1)
    | ~ distinct_points(X2,sP1_iProver_def)
    | apart_point_and_line(X2,X0)
    | apart_point_and_line(X2,X1)
    | apart_point_and_line(sP1_iProver_def,X0)
    | apart_point_and_line(sP1_iProver_def,X1) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_4375,plain,
    ( ~ distinct_points(intersection_point(sK0,sK1),sP1_iProver_def)
    | ~ distinct_lines(X0,X1)
    | apart_point_and_line(intersection_point(sK0,sK1),X0)
    | apart_point_and_line(intersection_point(sK0,sK1),X1)
    | apart_point_and_line(sP1_iProver_def,X0)
    | apart_point_and_line(sP1_iProver_def,X1) ),
    inference(instantiation,[status(thm)],[c_2356]) ).

cnf(c_4444,plain,
    ~ distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK1)),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_5177,plain,
    ( ~ apart_point_and_line(intersection_point(sK0,sK1),sK1)
    | ~ convergent_lines(sK0,sK1)
    | distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK1)) ),
    inference(instantiation,[status(thm)],[c_630]) ).

cnf(c_5923,plain,
    ( distinct_points(X0,sP0_iProver_def)
    | distinct_points(X0,sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_2056,c_49]) ).

cnf(c_5949,plain,
    ( ~ distinct_points(intersection_point(sK0,sK1),sP1_iProver_def)
    | ~ distinct_lines(sK0,sK1)
    | apart_point_and_line(intersection_point(sK0,sK1),sK0)
    | apart_point_and_line(intersection_point(sK0,sK1),sK1)
    | apart_point_and_line(sP1_iProver_def,sK0)
    | apart_point_and_line(sP1_iProver_def,sK1) ),
    inference(instantiation,[status(thm)],[c_4375]) ).

cnf(c_7082,plain,
    ( ~ apart_point_and_line(intersection_point(sK0,sK1),X0)
    | ~ convergent_lines(X0,sK1)
    | distinct_points(intersection_point(sK0,sK1),intersection_point(X0,sK1)) ),
    inference(instantiation,[status(thm)],[c_1495]) ).

cnf(c_7087,plain,
    ( ~ apart_point_and_line(intersection_point(sK0,sK1),sK0)
    | ~ convergent_lines(sK0,sK1)
    | distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK1)) ),
    inference(instantiation,[status(thm)],[c_7082]) ).

cnf(c_7668,plain,
    ( ~ apart_point_and_line(sP1_iProver_def,sK1)
    | distinct_points(sP1_iProver_def,X0)
    | apart_point_and_line(X0,sK1) ),
    inference(instantiation,[status(thm)],[c_2088]) ).

cnf(c_7675,plain,
    distinct_points(X0,sP1_iProver_def),
    inference(global_subsumption_just,[status(thm)],[c_5923,c_64,c_65,c_148,c_151,c_406,c_432,c_769,c_793,c_1450,c_1451,c_2065,c_2267,c_2268,c_4444,c_5177,c_5949,c_7087,c_7668]) ).

cnf(c_7678,plain,
    $false,
    inference(superposition,[status(thm)],[c_7675,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GEO201+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.14  % Command  : run_iprover %s %d THM
% 0.15/0.35  % Computer : n023.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Fri May  3 01:27:24 EDT 2024
% 0.15/0.35  % CPUTime  : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.92/1.19  % SZS status Started for theBenchmark.p
% 2.92/1.19  % SZS status Theorem for theBenchmark.p
% 2.92/1.19  
% 2.92/1.19  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.92/1.19  
% 2.92/1.19  ------  iProver source info
% 2.92/1.19  
% 2.92/1.19  git: date: 2024-05-02 19:28:25 +0000
% 2.92/1.19  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.92/1.19  git: non_committed_changes: false
% 2.92/1.19  
% 2.92/1.19  ------ Parsing...
% 2.92/1.19  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 2.92/1.19  
% 2.92/1.19  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.92/1.19  
% 2.92/1.19  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.92/1.19  
% 2.92/1.19  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.92/1.19  ------ Proving...
% 2.92/1.19  ------ Problem Properties 
% 2.92/1.19  
% 2.92/1.19  
% 2.92/1.19  clauses                                 18
% 2.92/1.19  conjectures                             2
% 2.92/1.19  EPR                                     12
% 2.92/1.19  Horn                                    12
% 2.92/1.19  unary                                   7
% 2.92/1.19  binary                                  1
% 2.92/1.19  lits                                    42
% 2.92/1.19  lits eq                                 2
% 2.92/1.19  fd_pure                                 0
% 2.92/1.19  fd_pseudo                               0
% 2.92/1.19  fd_cond                                 0
% 2.92/1.19  fd_pseudo_cond                          0
% 2.92/1.19  AC symbols                              0
% 2.92/1.19  
% 2.92/1.19  ------ Schedule dynamic 5 is on 
% 2.92/1.19  
% 2.92/1.19  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.92/1.19  
% 2.92/1.19  
% 2.92/1.19  ------ 
% 2.92/1.19  Current options:
% 2.92/1.19  ------ 
% 2.92/1.19  
% 2.92/1.19  
% 2.92/1.19  
% 2.92/1.19  
% 2.92/1.19  ------ Proving...
% 2.92/1.19  
% 2.92/1.19  
% 2.92/1.19  % SZS status Theorem for theBenchmark.p
% 2.92/1.19  
% 2.92/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.92/1.19  
% 2.92/1.19  
%------------------------------------------------------------------------------