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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : GEO259+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n007.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 01:20:36 PM UTC 2026

% Result   : Theorem 3.79s 1.28s
% Output   : CNFRefutation 3.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   74 (  15 unt;   0 def)
%            Number of atoms       :  216 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  249 ( 107   ~; 101   |;  33   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   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  :    8 (   7 usr;   1 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  124 (   0 sgn 116   !;   8   ?;  47   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,axiom,
    ! [X0] : ~ unequally_directed_lines(X0,X0),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO007+0.ax',oagco2) ).

fof(f20,axiom,
    ! [X0] :
      ( line(X0)
     => line(reverse_line(X0)) ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO007+0.ax',oagco9) ).

fof(f32,conjecture,
    ! [X0,X1,X2,X3] :
      ( ( distinct_points(X1,X2)
        & distinct_points(X2,X3)
        & distinct_points(X1,X3)
        & line(X0) )
     => ~ ( between_on_line(X0,X2,X1,X3)
          & between_on_line(X0,X1,X2,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

fof(f33,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( ( distinct_points(X1,X2)
          & distinct_points(X2,X3)
          & distinct_points(X1,X3)
          & line(X0) )
       => ~ ( between_on_line(X0,X2,X1,X3)
            & between_on_line(X0,X1,X2,X3) ) ),
    inference(negated_conjecture,[status(cth)],[f32]) ).

fof(f46,plain,
    ! [X0,X1,X2] :
      ( ~ unequally_directed_lines(X0,X1)
      | unequally_directed_lines(X1,X2)
      | unequally_directed_lines(X0,X2) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f47,plain,
    ! [X0,X1,X2] :
      ( ~ unequally_directed_lines(X0,X1)
      | unequally_directed_lines(X1,X2)
      | unequally_directed_lines(X0,X2) ),
    inference(flattening,[],[f46]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ~ line(X1)
      | ~ line(X0)
      | unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_lines(X0,X1) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ~ line(X1)
      | ~ line(X0)
      | unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_lines(X0,X1) ),
    inference(flattening,[],[f50]) ).

fof(f52,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(f53,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,[],[f52]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ~ left_convergent_lines(X0,reverse_line(X1))
      & ~ left_convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f58,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(f59,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,[],[f58]) ).

fof(f62,plain,
    ! [X0] :
      ( ~ line(X0)
      | line(reverse_line(X0)) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f64,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(f65,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,[],[f64]) ).

fof(f76,plain,
    ? [X0,X1,X2,X3] :
      ( distinct_points(X1,X2)
      & distinct_points(X2,X3)
      & distinct_points(X1,X3)
      & line(X0)
      & between_on_line(X0,X2,X1,X3)
      & between_on_line(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f77,plain,
    ? [X0,X1,X2,X3] :
      ( distinct_points(X1,X2)
      & distinct_points(X2,X3)
      & distinct_points(X1,X3)
      & line(X0)
      & between_on_line(X0,X2,X1,X3)
      & between_on_line(X0,X1,X2,X3) ),
    inference(flattening,[],[f76]) ).

fof(f78,plain,
    ( distinct_points(sK1,sK2)
    & distinct_points(sK2,sK3)
    & distinct_points(sK1,sK3)
    & line(sK0)
    & between_on_line(sK0,sK2,sK1,sK3)
    & between_on_line(sK0,sK1,sK2,sK3) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f77]) ).

fof(f95,plain,
    ! [X0] : ~ unequally_directed_lines(X0,X0),
    inference(cnf_transformation,[],[f10]) ).

fof(f96,plain,
    ! [X2,X0,X1] :
      ( ~ unequally_directed_lines(X0,X1)
      | unequally_directed_lines(X1,X2)
      | unequally_directed_lines(X0,X2) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( ~ line(X1)
      | ~ line(X0)
      | unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_lines(X0,X1) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f102,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,[],[f53]) ).

fof(f105,plain,
    ! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
    inference(cnf_transformation,[],[f55]) ).

fof(f106,plain,
    ! [X0,X1] : ~ left_convergent_lines(X0,X1),
    inference(cnf_transformation,[],[f55]) ).

fof(f108,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,[],[f59]) ).

fof(f110,plain,
    ! [X0] :
      ( ~ line(X0)
      | line(reverse_line(X0)) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f113,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,[],[f65]) ).

fof(f117,plain,
    ! [X0,X1] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
    inference(cnf_transformation,[],[f25]) ).

fof(f127,plain,
    line(sK0),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_65,plain,
    ! [X0: $i] : ~ unequally_directed_lines(X0,X0),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_66,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,[],[f96]) ).

tcf(c_71,plain,
    ! [X0: $i,X1: $i] :
      ( unequally_directed_lines(X0,X1)
      | unequally_directed_lines(X0,reverse_line(X1))
      | ~ line(X1)
      | ~ line(X0) ),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_72,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,[],[f102]) ).

tcf(c_75,plain,
    ! [X0: $i,X1: $i] : ~ left_convergent_lines(X0,X1),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_76,plain,
    ! [X0: $i,X1: $i] : ~ left_convergent_lines(X0,reverse_line(X1)),
    inference(cnf_transformation,[],[f105]) ).

tcf(c_78,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,[],[f108]) ).

tcf(c_80,plain,
    ! [X0: $i] :
      ( line(reverse_line(X0))
      | ~ line(X0) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_84,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,[],[f113]) ).

tcf(c_87,plain,
    ! [X0: $i,X1: $i] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
    inference(cnf_transformation,[],[f117]) ).

tcf(c_96,negated_conjecture,
    line(sK0),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_112,plain,
    ~ unequally_directed_lines(line_connecting(sK1,sK1),reverse_line(line_connecting(sK1,sK1))),
    inference(instantiation,[status(thm)],[c_87]) ).

tcf(c_127,plain,
    ! [X0: $i,X1: $i] :
      ( ~ unequally_directed_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(global_subsumption_just,[status(thm)],[c_84,c_75,c_76,c_72]) ).

tcf(c_143,plain,
    ! [X0: $i,X1: $i] :
      ( ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_78,c_127]) ).

tcf(c_144,plain,
    ! [X0: $i,X1: $i] :
      ( ~ unequally_directed_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(renaming,[status(thm)],[c_143]) ).

tcf(c_435,plain,
    ( line(reverse_line(sK0))
    | ~ line(sK0) ),
    inference(instantiation,[status(thm)],[c_80]) ).

tcf(c_450,plain,
    ! [X0: $i] :
      ( unequally_directed_lines(reverse_line(sK0),X0)
      | unequally_directed_lines(reverse_line(sK0),reverse_line(X0))
      | ~ line(X0)
      | ~ line(reverse_line(sK0)) ),
    inference(instantiation,[status(thm)],[c_71]) ).

tcf(c_462,plain,
    ! [X0: $i,X1: $i] :
      ( unequally_directed_lines(sK0,X1)
      | unequally_directed_lines(X0,X1)
      | ~ unequally_directed_lines(sK0,X0) ),
    inference(instantiation,[status(thm)],[c_66]) ).

tcf(c_463,plain,
    ! [X0: $i] :
      ( ~ unequally_directed_lines(sK0,X0)
      | ~ unequally_directed_lines(sK0,reverse_line(X0)) ),
    inference(instantiation,[status(thm)],[c_144]) ).

tcf(c_481,plain,
    ( unequally_directed_lines(reverse_line(sK0),sK0)
    | unequally_directed_lines(reverse_line(sK0),reverse_line(sK0))
    | ~ line(sK0)
    | ~ line(reverse_line(sK0)) ),
    inference(instantiation,[status(thm)],[c_450]) ).

tcf(c_493,plain,
    ! [X0: $i] :
      ( unequally_directed_lines(sK0,X0)
      | unequally_directed_lines(reverse_line(sK0),X0)
      | ~ unequally_directed_lines(reverse_line(sK0),sK0) ),
    inference(instantiation,[status(thm)],[c_66]) ).

tcf(c_501,plain,
    ~ unequally_directed_lines(reverse_line(sK0),reverse_line(sK0)),
    inference(instantiation,[status(thm)],[c_65]) ).

tcf(c_517,plain,
    ! [X0: $i,X1: $i] :
      ( unequally_directed_lines(sK0,reverse_line(X1))
      | unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(sK0,X0) ),
    inference(instantiation,[status(thm)],[c_462]) ).

tcf(c_623,plain,
    ! [X0: $i,X1: $i] :
      ( unequally_directed_lines(X0,X1)
      | unequally_directed_lines(reverse_line(sK0),X1)
      | ~ unequally_directed_lines(reverse_line(sK0),X0) ),
    inference(instantiation,[status(thm)],[c_66]) ).

tcf(c_624,plain,
    ! [X0: $i] :
      ( ~ unequally_directed_lines(reverse_line(sK0),X0)
      | ~ unequally_directed_lines(reverse_line(sK0),reverse_line(X0)) ),
    inference(instantiation,[status(thm)],[c_144]) ).

tcf(c_971,plain,
    ! [X0: $i,X1: $i] :
      ( unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_lines(reverse_line(sK0),reverse_line(X1))
      | ~ unequally_directed_lines(reverse_line(sK0),X0) ),
    inference(instantiation,[status(thm)],[c_623]) ).

tcf(c_1696,plain,
    ! [X0: $i,X1: $i] :
      ( unequally_directed_lines(sK0,reverse_line(line_connecting(X1,X0)))
      | unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0)))
      | ~ unequally_directed_lines(sK0,line_connecting(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_517]) ).

tcf(c_1697,plain,
    ( unequally_directed_lines(sK0,reverse_line(line_connecting(sK1,sK1)))
    | unequally_directed_lines(line_connecting(sK1,sK1),reverse_line(line_connecting(sK1,sK1)))
    | ~ unequally_directed_lines(sK0,line_connecting(sK1,sK1)) ),
    inference(instantiation,[status(thm)],[c_1696]) ).

tcf(c_4748,plain,
    ! [X0: $i,X1: $i] :
      ( unequally_directed_lines(sK0,line_connecting(X0,X1))
      | unequally_directed_lines(reverse_line(sK0),line_connecting(X0,X1))
      | ~ unequally_directed_lines(reverse_line(sK0),sK0) ),
    inference(instantiation,[status(thm)],[c_493]) ).

tcf(c_4749,plain,
    ( unequally_directed_lines(sK0,line_connecting(sK1,sK1))
    | unequally_directed_lines(reverse_line(sK0),line_connecting(sK1,sK1))
    | ~ unequally_directed_lines(reverse_line(sK0),sK0) ),
    inference(instantiation,[status(thm)],[c_4748]) ).

tcf(c_5913,plain,
    ! [X0: $i,X1: $i] :
      ( ~ unequally_directed_lines(sK0,line_connecting(X0,X1))
      | ~ unequally_directed_lines(sK0,reverse_line(line_connecting(X0,X1))) ),
    inference(instantiation,[status(thm)],[c_463]) ).

tcf(c_5924,plain,
    ( ~ unequally_directed_lines(sK0,line_connecting(sK1,sK1))
    | ~ unequally_directed_lines(sK0,reverse_line(line_connecting(sK1,sK1))) ),
    inference(instantiation,[status(thm)],[c_5913]) ).

tcf(c_9768,plain,
    ! [X0: $i,X1: $i] :
      ( unequally_directed_lines(reverse_line(sK0),reverse_line(line_connecting(X1,X0)))
      | unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0)))
      | ~ unequally_directed_lines(reverse_line(sK0),line_connecting(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_971]) ).

tcf(c_9769,plain,
    ( unequally_directed_lines(reverse_line(sK0),reverse_line(line_connecting(sK1,sK1)))
    | unequally_directed_lines(line_connecting(sK1,sK1),reverse_line(line_connecting(sK1,sK1)))
    | ~ unequally_directed_lines(reverse_line(sK0),line_connecting(sK1,sK1)) ),
    inference(instantiation,[status(thm)],[c_9768]) ).

tcf(c_23851,plain,
    ! [X0: $i,X1: $i] :
      ( ~ unequally_directed_lines(reverse_line(sK0),line_connecting(X0,X1))
      | ~ unequally_directed_lines(reverse_line(sK0),reverse_line(line_connecting(X0,X1))) ),
    inference(instantiation,[status(thm)],[c_624]) ).

tcf(c_23852,plain,
    ( ~ unequally_directed_lines(reverse_line(sK0),line_connecting(sK1,sK1))
    | ~ unequally_directed_lines(reverse_line(sK0),reverse_line(line_connecting(sK1,sK1))) ),
    inference(instantiation,[status(thm)],[c_23851]) ).

tcf(c_23853,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_23852,c_9769,c_5924,c_4749,c_1697,c_501,c_481,c_435,c_112,c_96]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GEO259+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36  % Computer : n007.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Wed Sep 23 11:41:36 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.08/0.36  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.40  Running first-order theorem proving
% 0.08/0.40  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
% 0.08/0.41  
% 0.08/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.41  
% 0.08/0.41  % Detected problem language: tptp
% 0.08/0.42  % Proving...
% 3.79/1.28  % SZS status Started for theBenchmark.p
% 3.79/1.28  % SZS status Theorem for theBenchmark.p
% 3.79/1.28  
% 3.79/1.28  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.79/1.28  
% 3.79/1.28  % ------  iProver source info
% 3.79/1.28  
% 3.79/1.28  % git: date: 2026-07-19 20:42:38 +0200
% 3.79/1.28  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.79/1.28  % git: non_committed_changes: false
% 3.79/1.28  
% 3.79/1.28  % ------ Parsing...
% 3.79/1.28  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.79/1.28  
% 3.79/1.28  % ------ 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 % 
% 3.79/1.28  
% 3.79/1.28  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.79/1.28  % ------ Proving...
% 3.79/1.28  % ------ Problem Properties 
% 3.79/1.28  
% 3.79/1.28  % 
% 3.79/1.28  % clauses                               22
% 3.79/1.28  % conjectures                           4
% 3.79/1.28  % EPR                                   16
% 3.79/1.28  % Horn                                  12
% 3.79/1.28  % unary                                 8
% 3.79/1.28  % binary                                11
% 3.79/1.28  % lits                                  40
% 3.79/1.28  % lits eq                               0
% 3.79/1.28  % fd_pure                               0
% 3.79/1.28  % fd_pseudo                             0
% 3.79/1.28  % fd_cond                               0
% 3.79/1.28  % fd_pseudo_cond                        0
% 3.79/1.28  % AC symbols                            0
% 3.79/1.28  
% 3.79/1.28  % ------ Schedule dynamic 5 is on 
% 3.79/1.28  
% 3.79/1.28  % ------ no equalities: superposition off 
% 3.79/1.28  
% 3.79/1.28  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.79/1.28  
% 3.79/1.28  
% 3.79/1.28  % ------ 
% 3.79/1.28  % Current options:
% 3.79/1.28  % ------ 
% 3.79/1.28  
% 3.79/1.28  
% 3.79/1.28  % 
% 3.79/1.28  
% 3.79/1.28  % ------ Proving...
% 3.79/1.28  % 
% 3.79/1.28  
% 3.79/1.28  % SZS status Theorem for theBenchmark.p
% 3.79/1.28  
% 3.79/1.28  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.79/1.28  
% 3.79/1.28  
%------------------------------------------------------------------------------