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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : GEO255+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n001.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 01:20:35 PM UTC 2026

% Result   : Theorem 1.27s 1.20s
% Output   : CNFRefutation 3.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   83 (  28 unt;   2 def)
%            Number of atoms       :  237 (   2 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  257 ( 116   ~;  92   |;  39   &)
%                                         (   1 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   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  :   12 (  10 usr;   3 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :  130 (   0 sgn 124   !;   6   ?;  42   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0,X1,X2] :
      ( before_on_line(X0,X1,X2)
    <=> ( ~ unequally_directed_lines(X0,line_connecting(X1,X2))
        & ~ ( left_apart_point(X2,reverse_line(X0))
            | left_apart_point(X2,X0) )
        & ~ ( left_apart_point(X1,reverse_line(X0))
            | left_apart_point(X1,X0) )
        & distinct_points(X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',bf_def) ).

fof(f10,axiom,
    ! [X0] : ~ unequally_directed_lines(X0,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag5) ).

fof(f11,axiom,
    ! [X0,X1,X2] :
      ( unequally_directed_lines(X0,X1)
     => ( unequally_directed_lines(X1,X2)
        | unequally_directed_lines(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag6) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( ( line(X1)
        & line(X0) )
     => ( unequally_directed_lines(X0,reverse_line(X1))
        | unequally_directed_lines(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag8) ).

fof(f14,axiom,
    ! [X0,X1] :
      ( ( unequally_directed_lines(X0,reverse_line(X1))
        & unequally_directed_lines(X0,X1) )
     => ( left_convergent_lines(X0,reverse_line(X1))
        | left_convergent_lines(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag9) ).

fof(f16,axiom,
    ! [X0,X1] :
      ~ ( left_convergent_lines(X0,reverse_line(X1))
        | left_convergent_lines(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag11) ).

fof(f18,axiom,
    ! [X0,X1] :
      ( ( unequally_directed_lines(X0,reverse_line(X1))
        & unequally_directed_lines(X0,X1)
        & line(X1)
        & line(X0) )
     => point(intersection_point(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oagco2) ).

fof(f20,axiom,
    ! [X0] :
      ( line(X0)
     => line(reverse_line(X0)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oagco4) ).

fof(f22,axiom,
    ! [X0,X1] :
      ( ( unequally_directed_lines(X0,reverse_line(X1))
        & unequally_directed_lines(X0,X1) )
     => ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
        & ~ apart_point_and_line(intersection_point(X0,X1),X0) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oagco6) ).

fof(f25,axiom,
    ! [X0,X1] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oagco9) ).

fof(f32,conjecture,
    ! [X0,X1,X2] :
      ( ( distinct_points(X1,X2)
        & line(X0) )
     => ~ ( before_on_line(X0,X2,X1)
          & before_on_line(X0,X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

fof(f33,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( distinct_points(X1,X2)
          & line(X0) )
       => ~ ( before_on_line(X0,X2,X1)
            & before_on_line(X0,X1,X2) ) ),
    inference(negated_conjecture,[status(cth)],[f32]) ).

fof(f34,plain,
    ! [X0,X1,X2] :
      ( before_on_line(X0,X1,X2)
     => ( ~ unequally_directed_lines(X0,line_connecting(X1,X2))
        & ~ ( left_apart_point(X2,reverse_line(X0))
            | left_apart_point(X2,X0) )
        & ~ ( left_apart_point(X1,reverse_line(X0))
            | left_apart_point(X1,X0) )
        & distinct_points(X1,X2) ) ),
    inference(unused_predicate_definition_removal,[],[f4]) ).

fof(f37,plain,
    ! [X0,X1,X2] :
      ( ~ before_on_line(X0,X1,X2)
      | ( ~ unequally_directed_lines(X0,line_connecting(X1,X2))
        & ~ left_apart_point(X2,reverse_line(X0))
        & ~ left_apart_point(X2,X0)
        & ~ left_apart_point(X1,reverse_line(X0))
        & ~ left_apart_point(X1,X0)
        & distinct_points(X1,X2) ) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f38,plain,
    ! [X0,X1,X2] :
      ( ~ before_on_line(X0,X1,X2)
      | ( ~ unequally_directed_lines(X0,line_connecting(X1,X2))
        & ~ left_apart_point(X2,reverse_line(X0))
        & ~ left_apart_point(X2,X0)
        & ~ left_apart_point(X1,reverse_line(X0))
        & ~ left_apart_point(X1,X0)
        & distinct_points(X1,X2) ) ),
    inference(flattening,[],[f37]) ).

fof(f43,plain,
    ! [X0,X1,X2] :
      ( ~ unequally_directed_lines(X0,X1)
      | unequally_directed_lines(X1,X2)
      | unequally_directed_lines(X0,X2) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f44,plain,
    ! [X0,X1,X2] :
      ( ~ unequally_directed_lines(X0,X1)
      | unequally_directed_lines(X1,X2)
      | unequally_directed_lines(X0,X2) ),
    inference(flattening,[],[f43]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ~ line(X1)
      | ~ line(X0)
      | unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_lines(X0,X1) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ~ line(X1)
      | ~ line(X0)
      | unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_lines(X0,X1) ),
    inference(flattening,[],[f47]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1)
      | left_convergent_lines(X0,reverse_line(X1))
      | left_convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1)
      | left_convergent_lines(X0,reverse_line(X1))
      | left_convergent_lines(X0,X1) ),
    inference(flattening,[],[f49]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ~ left_convergent_lines(X0,reverse_line(X1))
      & ~ left_convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1)
      | ~ line(X1)
      | ~ line(X0)
      | point(intersection_point(X0,X1)) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1)
      | ~ line(X1)
      | ~ line(X0)
      | point(intersection_point(X0,X1)) ),
    inference(flattening,[],[f55]) ).

fof(f59,plain,
    ! [X0] :
      ( ~ line(X0)
      | line(reverse_line(X0)) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1)
      | ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
        & ~ apart_point_and_line(intersection_point(X0,X1),X0) ) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1)
      | ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
        & ~ apart_point_and_line(intersection_point(X0,X1),X0) ) ),
    inference(flattening,[],[f61]) ).

fof(f73,plain,
    ? [X0,X1,X2] :
      ( distinct_points(X1,X2)
      & line(X0)
      & before_on_line(X0,X2,X1)
      & before_on_line(X0,X1,X2) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f74,plain,
    ? [X0,X1,X2] :
      ( distinct_points(X1,X2)
      & line(X0)
      & before_on_line(X0,X2,X1)
      & before_on_line(X0,X1,X2) ),
    inference(flattening,[],[f73]) ).

fof(f75,plain,
    ( distinct_points(sK1,sK2)
    & line(sK0)
    & before_on_line(sK0,sK2,sK1)
    & before_on_line(sK0,sK1,sK2) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f74]) ).

fof(f78,plain,
    ! [X2,X0,X1] :
      ( ~ before_on_line(X0,X1,X2)
      | ~ unequally_directed_lines(X0,line_connecting(X1,X2)) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f88,plain,
    ! [X0] : ~ unequally_directed_lines(X0,X0),
    inference(cnf_transformation,[],[f10]) ).

fof(f89,plain,
    ! [X2,X0,X1] :
      ( ~ unequally_directed_lines(X0,X1)
      | unequally_directed_lines(X1,X2)
      | unequally_directed_lines(X0,X2) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ~ line(X1)
      | ~ line(X0)
      | unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_lines(X0,X1) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1)
      | left_convergent_lines(X0,reverse_line(X1))
      | left_convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f98,plain,
    ! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
    inference(cnf_transformation,[],[f52]) ).

fof(f99,plain,
    ! [X0,X1] : ~ left_convergent_lines(X0,X1),
    inference(cnf_transformation,[],[f52]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1)
      | ~ line(X1)
      | ~ line(X0)
      | point(intersection_point(X0,X1)) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f103,plain,
    ! [X0] :
      ( ~ line(X0)
      | line(reverse_line(X0)) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1)
      | ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f110,plain,
    ! [X0,X1] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
    inference(cnf_transformation,[],[f25]) ).

fof(f118,plain,
    line(sK0),
    inference(cnf_transformation,[],[f75]) ).

fof(f119,plain,
    before_on_line(sK0,sK2,sK1),
    inference(cnf_transformation,[],[f75]) ).

fof(f120,plain,
    before_on_line(sK0,sK1,sK2),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ before_on_line(X0,X1,X2)
      | ~ unequally_directed_lines(X0,line_connecting(X1,X2)) ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_61,plain,
    ! [X0: $i] : ~ unequally_directed_lines(X0,X0),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_62,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( unequally_directed_lines(X1,X2)
      | unequally_directed_lines(X0,X2)
      | ~ unequally_directed_lines(X0,X1) ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_67,plain,
    ! [X0: $i,X1: $i] :
      ( unequally_directed_lines(X0,X1)
      | unequally_directed_lines(X0,reverse_line(X1))
      | ~ line(X1)
      | ~ line(X0) ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_68,plain,
    ! [X0: $i,X1: $i] :
      ( left_convergent_lines(X0,X1)
      | left_convergent_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_71,plain,
    ! [X0: $i,X1: $i] : ~ left_convergent_lines(X0,X1),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_72,plain,
    ! [X0: $i,X1: $i] : ~ left_convergent_lines(X0,reverse_line(X1)),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_74,plain,
    ! [X0: $i,X1: $i] :
      ( point(intersection_point(X0,X1))
      | ~ line(X1)
      | ~ line(X0)
      | ~ unequally_directed_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_76,plain,
    ! [X0: $i] :
      ( line(reverse_line(X0))
      | ~ line(X0) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_80,plain,
    ! [X0: $i,X1: $i] :
      ( ~ unequally_directed_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_83,plain,
    ! [X0: $i,X1: $i] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_90,negated_conjecture,
    before_on_line(sK0,sK1,sK2),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_91,negated_conjecture,
    before_on_line(sK0,sK2,sK1),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_92,negated_conjecture,
    line(sK0),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_120,plain,
    ! [X0: $i,X1: $i] :
      ( ~ unequally_directed_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(global_subsumption_just,[status(thm)],[c_80,c_71,c_72,c_68]) ).

tcf(c_136,plain,
    ! [X0: $i,X1: $i] :
      ( ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_74,c_120]) ).

tcf(c_137,plain,
    ! [X0: $i,X1: $i] :
      ( ~ unequally_directed_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(renaming,[status(thm)],[c_136]) ).

tcf(c_245,plain,
    ~ unequally_directed_lines(sK0,line_connecting(sK1,sK2)),
    inference(resolution,[status(thm)],[c_56,c_90]) ).

tcf(c_250,plain,
    ~ unequally_directed_lines(sK0,line_connecting(sK2,sK1)),
    inference(resolution,[status(thm)],[c_56,c_91]) ).

tcf(c_307,definition,
    iPr_def_10 = line_connecting(sK2,sK1),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_308,definition,
    iPr_def_11 = line_connecting(sK1,sK2),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_310,plain,
    ~ unequally_directed_lines(sK0,iPr_def_10),
    inference(demodulation,[status(thm)],[c_250,c_307]) ).

tcf(c_311,plain,
    ~ unequally_directed_lines(sK0,iPr_def_11),
    inference(demodulation,[status(thm)],[c_245,c_308]) ).

tcf(c_313,negated_conjecture,
    line(sK0),
    inference(demodulation,[status(thm)],[c_92]) ).

tcf(c_513,plain,
    ~ unequally_directed_lines(line_connecting(sK1,sK2),reverse_line(iPr_def_10)),
    inference(superposition,[status(thm)],[c_307,c_83]) ).

tcf(c_514,plain,
    ~ unequally_directed_lines(iPr_def_11,reverse_line(iPr_def_10)),
    inference(light_normalisation,[status(thm)],[c_513,c_308]) ).

tcf(c_788,plain,
    ! [X0: $i] : ~ unequally_directed_lines(reverse_line(X0),reverse_line(X0)),
    inference(instantiation,[status(thm)],[c_61]) ).

tcf(c_789,plain,
    ! [X0: $i] :
      ( unequally_directed_lines(reverse_line(X0),X0)
      | unequally_directed_lines(reverse_line(X0),reverse_line(X0))
      | ~ line(X0)
      | ~ line(reverse_line(X0)) ),
    inference(instantiation,[status(thm)],[c_67]) ).

tcf(c_930,plain,
    ! [X0: $i] :
      ( unequally_directed_lines(reverse_line(X0),X0)
      | ~ line(X0)
      | ~ line(reverse_line(X0)) ),
    inference(superposition,[status(thm)],[c_67,c_61]) ).

tcf(c_1701,plain,
    ! [X0: $i] :
      ( unequally_directed_lines(reverse_line(X0),X0)
      | ~ line(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_930,c_76,c_788,c_789]) ).

tcf(c_1708,plain,
    ! [X0: $i,X1: $i] :
      ( unequally_directed_lines(X0,X1)
      | unequally_directed_lines(reverse_line(X0),X1)
      | ~ line(X0) ),
    inference(superposition,[status(thm)],[c_1701,c_62]) ).

tcf(c_1726,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( unequally_directed_lines(X2,X1)
      | unequally_directed_lines(X0,X2)
      | unequally_directed_lines(reverse_line(X0),X1)
      | ~ line(X0) ),
    inference(superposition,[status(thm)],[c_1708,c_62]) ).

tcf(c_2957,plain,
    ! [X0: $i] :
      ( unequally_directed_lines(iPr_def_11,X0)
      | unequally_directed_lines(reverse_line(sK0),X0)
      | ~ line(sK0) ),
    inference(superposition,[status(thm)],[c_1726,c_311]) ).

tcf(c_2970,plain,
    ! [X0: $i] :
      ( unequally_directed_lines(iPr_def_11,X0)
      | unequally_directed_lines(reverse_line(sK0),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2957,c_313]) ).

tcf(c_3328,plain,
    ! [X0: $i] :
      ( unequally_directed_lines(iPr_def_11,reverse_line(X0))
      | ~ unequally_directed_lines(reverse_line(sK0),X0) ),
    inference(superposition,[status(thm)],[c_2970,c_137]) ).

tcf(c_3373,plain,
    ! [X0: $i] :
      ( unequally_directed_lines(sK0,X0)
      | unequally_directed_lines(iPr_def_11,reverse_line(X0))
      | ~ line(sK0) ),
    inference(superposition,[status(thm)],[c_1708,c_3328]) ).

tcf(c_3386,plain,
    ! [X0: $i] :
      ( unequally_directed_lines(sK0,X0)
      | unequally_directed_lines(iPr_def_11,reverse_line(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3373,c_313]) ).

tcf(c_3455,plain,
    unequally_directed_lines(sK0,iPr_def_10),
    inference(superposition,[status(thm)],[c_3386,c_514]) ).

tcf(c_3456,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_3455,c_310]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO255+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.05  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37  % Computer : n001.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Wed Sep 23 11:47:50 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  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
% 0.11/0.43  
% 0.11/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43  
% 0.11/0.43  % Detected problem language: tptp
% 0.11/0.45  % Proving...
% 1.27/1.20  % SZS status Started for theBenchmark.p
% 1.27/1.20  % SZS status Theorem for theBenchmark.p
% 1.27/1.20  
% 1.27/1.20  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.27/1.20  
% 1.27/1.20  % ------  iProver source info
% 1.27/1.20  
% 1.27/1.20  % git: date: 2026-07-19 20:42:38 +0200
% 1.27/1.20  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.27/1.20  % git: non_committed_changes: false
% 1.27/1.20  
% 1.27/1.20  % ------ Parsing...
% 1.27/1.20  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 1.27/1.20  
% 1.27/1.20  % ------ Preprocessing... sf_s  rm: 11 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 1.27/1.20  
% 1.27/1.20  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 1.27/1.20  
% 1.27/1.20  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.27/1.20  % ------ Proving...
% 1.27/1.20  % ------ Problem Properties 
% 1.27/1.20  
% 1.27/1.20  % 
% 1.27/1.20  % clauses                               16
% 1.27/1.20  % conjectures                           2
% 1.27/1.20  % EPR                                   9
% 1.27/1.20  % Horn                                  13
% 1.27/1.20  % unary                                 11
% 1.27/1.20  % binary                                2
% 1.27/1.20  % lits                                  25
% 1.27/1.20  % lits eq                               2
% 3.16/1.20  % fd_pure                               0
% 3.16/1.20  % fd_pseudo                             0
% 3.16/1.20  % fd_cond                               0
% 3.16/1.20  % fd_pseudo_cond                        0
% 3.16/1.20  % AC symbols                            0
% 3.16/1.20  
% 3.16/1.20  % ------ Schedule dynamic 5 is on 
% 3.16/1.20  
% 3.16/1.20  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.16/1.20  
% 3.16/1.20  
% 3.16/1.20  % ------ 
% 3.16/1.20  % Current options:
% 3.16/1.20  % ------ 
% 3.16/1.20  
% 3.16/1.20  
% 3.16/1.20  % 
% 3.16/1.20  
% 3.16/1.20  % ------ Proving...
% 3.16/1.20  % 
% 3.16/1.20  
% 3.16/1.20  % SZS status Theorem for theBenchmark.p
% 3.16/1.20  
% 3.16/1.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.16/1.20  
% 3.16/1.20  
%------------------------------------------------------------------------------