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Leo-III---1.8.0.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : GEO126-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39

% Computer : n017.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 : Sun Sep 27 07:12:24 AM UTC 2026

% Result   : Unsatisfiable 122.00s 57.40s
% Output   : Refutation 122.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   74 (  24 unt;   0 typ;   0 def)
%            Number of atoms       :  197 (  53 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  541 (  85   ~;  79   |;   0   &; 377   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  12 usr;   3 con; 0-3 aty)
%            Number of variables   :  137 (   0   ^; 137   !;   0   ?; 137   :)

% Comments : 
%------------------------------------------------------------------------------
thf(ordered_by_decl,type,
    ordered_by: $i > $i > $i > $o ).

thf(sk25_decl,type,
    sk25: $i ).

thf(end_point_decl,type,
    end_point: $i > $i > $o ).

thf(incident_c_decl,type,
    incident_c: $i > $i > $o ).

thf(inner_point_decl,type,
    inner_point: $i > $i > $o ).

thf(ax0_sk8_decl,type,
    ax0_sk8: $i > $i ).

thf(incident_o_decl,type,
    incident_o: $i > $i > $o ).

thf(open_decl,type,
    open: $i > $o ).

thf(start_point_decl,type,
    start_point: $i > $i > $o ).

thf(ax2_sk6_decl,type,
    ax2_sk6: $i > $i ).

thf(ax2_sk3_decl,type,
    ax2_sk3: $i > $i ).

thf(ax0_sk7_decl,type,
    ax0_sk7: $i > $i ).

thf(47,axiom,
    ! [A: $i] : ( A @ ax2_sk3 @ open ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',o2_19) ).

thf(198,plain,
    ! [A: $i] : ( A @ ax2_sk3 @ open ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(53,axiom,
    ! [A: $i] :
      ( ( A @ ( A @ ax0_sk7 @ end_point ) )
      | ~ ( A @ open ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',open_defn_33) ).

thf(209,plain,
    ! [A: $i] :
      ( ( A @ ( A @ ax0_sk7 @ end_point ) )
      | ~ ( A @ open ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).

thf(210,plain,
    ! [A: $i] :
      ( ( A @ ( A @ ax0_sk7 @ end_point ) )
      | ~ ( A @ open ) ),
    inference(cnf,[status(esa)],[209]) ).

thf(367,plain,
    ! [B: $i,A: $i] :
      ( ( ( A @ ax2_sk3 @ open )
       != ( B @ open ) )
      | ( B @ ( B @ ax0_sk7 @ end_point ) )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[198,210]) ).

thf(368,plain,
    ! [B: $i,A: $i] :
      ( ( ( A @ ax2_sk3 @ open )
       != ( B @ open ) )
      | ( B @ ( B @ ax0_sk7 @ end_point ) ) ),
    inference(simp,[status(thm)],[367]) ).

thf(369,plain,
    ! [A: $i] : ( A @ ax2_sk3 @ ( A @ ax2_sk3 @ ax0_sk7 @ end_point ) ),
    inference(pattern_uni,[status(thm)],[368:[bind(A,$thf( C )),bind(B,$thf( C @ ax2_sk3 ))]]) ).

thf(373,plain,
    ! [A: $i] : ( A @ ax2_sk3 @ ( A @ ax2_sk3 @ ax0_sk7 @ end_point ) ),
    inference(simp,[status(thm)],[369]) ).

thf(59,axiom,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ incident_c ) )
      | ~ ( B @ ( A @ end_point ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn_13) ).

thf(221,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ incident_c ) )
      | ~ ( B @ ( A @ end_point ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).

thf(222,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ incident_c ) )
      | ~ ( B @ ( A @ end_point ) ) ),
    inference(cnf,[status(esa)],[221]) ).

thf(1273,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ ax2_sk3 @ ( A @ ax2_sk3 @ ax0_sk7 @ end_point ) )
       != ( C @ ( B @ end_point ) ) )
      | ( C @ ( B @ incident_c ) )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[373,222]) ).

thf(1274,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ ax2_sk3 @ ( A @ ax2_sk3 @ ax0_sk7 @ end_point ) )
       != ( C @ ( B @ end_point ) ) )
      | ( C @ ( B @ incident_c ) ) ),
    inference(simp,[status(thm)],[1273]) ).

thf(1275,plain,
    ! [A: $i] : ( A @ ax2_sk3 @ ( A @ ax2_sk3 @ ax0_sk7 @ incident_c ) ),
    inference(pattern_uni,[status(thm)],[1274:[bind(A,$thf( F )),bind(B,$thf( F @ ax2_sk3 @ ax0_sk7 )),bind(C,$thf( F @ ax2_sk3 ))]]) ).

thf(1281,plain,
    ! [A: $i] : ( A @ ax2_sk3 @ ( A @ ax2_sk3 @ ax0_sk7 @ incident_c ) ),
    inference(simp,[status(thm)],[1275]) ).

thf(55,axiom,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ incident_o ) )
      | ~ ( B @ ax2_sk3 @ ( A @ incident_c ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',o2_21) ).

thf(213,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ incident_o ) )
      | ~ ( B @ ax2_sk3 @ ( A @ incident_c ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).

thf(214,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ incident_o ) )
      | ~ ( B @ ax2_sk3 @ ( A @ incident_c ) ) ),
    inference(cnf,[status(esa)],[213]) ).

thf(2597,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ ax2_sk3 @ ( A @ ax2_sk3 @ ax0_sk7 @ incident_c ) )
       != ( C @ ax2_sk3 @ ( B @ incident_c ) ) )
      | ( C @ ( B @ incident_o ) )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[1281,214]) ).

thf(2598,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ ax2_sk3 @ ( A @ ax2_sk3 @ ax0_sk7 @ incident_c ) )
       != ( C @ ax2_sk3 @ ( B @ incident_c ) ) )
      | ( C @ ( B @ incident_o ) ) ),
    inference(simp,[status(thm)],[2597]) ).

thf(2599,plain,
    ! [A: $i] : ( A @ ( A @ ax2_sk3 @ ax0_sk7 @ incident_o ) ),
    inference(pattern_uni,[status(thm)],[2598:[bind(A,$thf( E )),bind(B,$thf( E @ ax2_sk3 @ ax0_sk7 )),bind(C,$thf( E ))]]) ).

thf(2638,plain,
    ! [A: $i] : ( A @ ( A @ ax2_sk3 @ ax0_sk7 @ incident_o ) ),
    inference(simp,[status(thm)],[2599]) ).

thf(44,axiom,
    ! [A: $i] : ( A @ ( A @ ax2_sk6 @ start_point ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',o4_29) ).

thf(192,plain,
    ! [A: $i] : ( A @ ( A @ ax2_sk6 @ start_point ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(73,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( A @ ( B @ ordered_by ) ) )
      | ~ ( B @ ( C @ incident_o ) )
      | ( A = C )
      | ~ ( B @ ( A @ start_point ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',start_point_defn_8) ).

thf(249,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( A @ ( B @ ordered_by ) ) )
      | ~ ( B @ ( C @ incident_o ) )
      | ( A = C )
      | ~ ( B @ ( A @ start_point ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).

thf(250,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( A @ ( B @ ordered_by ) ) )
      | ~ ( B @ ( C @ incident_o ) )
      | ( A = C )
      | ~ ( B @ ( A @ start_point ) ) ),
    inference(cnf,[status(esa)],[249]) ).

thf(251,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( A @ ( B @ ordered_by ) ) )
      | ~ ( B @ ( C @ incident_o ) )
      | ~ ( B @ ( A @ start_point ) )
      | ( A = C ) ),
    inference(lifteq,[status(thm)],[250]) ).

thf(1,negated_conjecture,
    ! [B: $i,A: $i] :
      ( ( A = B )
      | ~ ( B @ ( A @ ( sk25 @ ordered_by ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_11_133) ).

thf(87,plain,
    ! [B: $i,A: $i] :
      ( ( A = B )
      | ~ ( B @ ( A @ ( sk25 @ ordered_by ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(88,plain,
    ! [B: $i,A: $i] :
      ( ( A = B )
      | ~ ( B @ ( A @ ( sk25 @ ordered_by ) ) ) ),
    inference(cnf,[status(esa)],[87]) ).

thf(89,plain,
    ! [B: $i,A: $i] :
      ( ~ ( B @ ( A @ ( sk25 @ ordered_by ) ) )
      | ( A = B ) ),
    inference(lifteq,[status(thm)],[88]) ).

thf(105620,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( C @ ( A @ ( B @ ordered_by ) ) )
       != ( E @ ( D @ ( sk25 @ ordered_by ) ) ) )
      | ~ $true
      | ( D = E )
      | ~ ( B @ ( C @ incident_o ) )
      | ~ ( B @ ( A @ start_point ) )
      | ( A = C ) ),
    inference(paramod_ordered,[status(thm)],[251,89]) ).

thf(105621,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( C @ ( A @ ( B @ ordered_by ) ) )
       != ( E @ ( D @ ( sk25 @ ordered_by ) ) ) )
      | ( D = E )
      | ~ ( B @ ( C @ incident_o ) )
      | ~ ( B @ ( A @ start_point ) )
      | ( A = C ) ),
    inference(simp,[status(thm)],[105620]) ).

thf(105622,plain,
    ! [B: $i,A: $i] :
      ( ( A = B )
      | ~ ( sk25 @ ( B @ incident_o ) )
      | ~ ( sk25 @ ( A @ start_point ) )
      | ( A = B ) ),
    inference(pattern_uni,[status(thm)],[105621:[bind(A,$thf( A )),bind(B,$thf( sk25 )),bind(C,$thf( C )),bind(D,$thf( A )),bind(E,$thf( C ))]]) ).

thf(111404,plain,
    ! [B: $i,A: $i] :
      ( ~ ( sk25 @ ( B @ incident_o ) )
      | ~ ( sk25 @ ( A @ start_point ) )
      | ( A = B ) ),
    inference(simp,[status(thm)],[105622]) ).

thf(115585,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ ( A @ ax2_sk6 @ start_point ) )
       != ( sk25 @ ( B @ start_point ) ) )
      | ~ ( sk25 @ ( C @ incident_o ) )
      | ~ $true
      | ( B = C ) ),
    inference(paramod_ordered,[status(thm)],[192,111404]) ).

thf(115586,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ ( A @ ax2_sk6 @ start_point ) )
       != ( sk25 @ ( B @ start_point ) ) )
      | ~ ( sk25 @ ( C @ incident_o ) )
      | ( B = C ) ),
    inference(simp,[status(thm)],[115585]) ).

thf(115587,plain,
    ! [A: $i] :
      ( ~ ( sk25 @ ( A @ incident_o ) )
      | ( ( sk25 @ ax2_sk6 )
        = A ) ),
    inference(pattern_uni,[status(thm)],[115586:[bind(A,$thf( sk25 )),bind(B,$thf( sk25 @ ax2_sk6 )),bind(C,$thf( C ))]]) ).

thf(119271,plain,
    ! [A: $i] :
      ( ~ ( sk25 @ ( A @ incident_o ) )
      | ( ( sk25 @ ax2_sk6 )
        = A ) ),
    inference(simp,[status(thm)],[115587]) ).

thf(121890,plain,
    ! [B: $i,A: $i] :
      ( ( ( A @ ( A @ ax2_sk3 @ ax0_sk7 @ incident_o ) )
       != ( sk25 @ ( B @ incident_o ) ) )
      | ~ $true
      | ( ( sk25 @ ax2_sk6 )
        = B ) ),
    inference(paramod_ordered,[status(thm)],[2638,119271]) ).

thf(121891,plain,
    ! [B: $i,A: $i] :
      ( ( ( A @ ( A @ ax2_sk3 @ ax0_sk7 @ incident_o ) )
       != ( sk25 @ ( B @ incident_o ) ) )
      | ( ( sk25 @ ax2_sk6 )
        = B ) ),
    inference(simp,[status(thm)],[121890]) ).

thf(121892,plain,
    ( ( sk25 @ ax2_sk3 @ ax0_sk7 )
    = ( sk25 @ ax2_sk6 ) ),
    inference(pattern_uni,[status(thm)],[121891:[bind(A,$thf( sk25 )),bind(B,$thf( sk25 @ ax2_sk3 @ ax0_sk7 ))]]) ).

thf(24,axiom,
    ! [A: $i] : ( A @ ( A @ ax0_sk8 @ inner_point ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3_37) ).

thf(139,plain,
    ! [A: $i] : ( A @ ( A @ ax0_sk8 @ inner_point ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(11,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( B @ ( A @ end_point ) )
      | ~ ( B @ ( A @ inner_point ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_point_defn_22) ).

thf(109,plain,
    ! [B: $i,A: $i] :
      ( ~ ( B @ ( A @ end_point ) )
      | ~ ( B @ ( A @ inner_point ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(110,plain,
    ! [B: $i,A: $i] :
      ( ~ ( B @ ( A @ end_point ) )
      | ~ ( B @ ( A @ inner_point ) ) ),
    inference(cnf,[status(esa)],[109]) ).

thf(280,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ ( A @ ax0_sk8 @ inner_point ) )
       != ( C @ ( B @ inner_point ) ) )
      | ~ ( C @ ( B @ end_point ) )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[139,110]) ).

thf(281,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ ( A @ ax0_sk8 @ inner_point ) )
       != ( C @ ( B @ inner_point ) ) )
      | ~ ( C @ ( B @ end_point ) ) ),
    inference(simp,[status(thm)],[280]) ).

thf(282,plain,
    ! [A: $i] :
      ~ ( A @ ( A @ ax0_sk8 @ end_point ) ),
    inference(pattern_uni,[status(thm)],[281:[bind(A,$thf( D )),bind(B,$thf( D @ ax0_sk8 )),bind(C,$thf( D ))]]) ).

thf(283,plain,
    ! [A: $i] :
      ~ ( A @ ( A @ ax0_sk8 @ end_point ) ),
    inference(simp,[status(thm)],[282]) ).

thf(400,plain,
    ! [B: $i,A: $i] :
      ( ( ( A @ ax2_sk3 @ ( A @ ax2_sk3 @ ax0_sk7 @ end_point ) )
       != ( B @ ( B @ ax0_sk8 @ end_point ) ) )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[373,283]) ).

thf(401,plain,
    ! [B: $i,A: $i] :
      ( ( A @ ax2_sk3 @ ( A @ ax2_sk3 @ ax0_sk7 @ end_point ) )
     != ( B @ ( B @ ax0_sk8 @ end_point ) ) ),
    inference(simp,[status(thm)],[400]) ).

thf(402,plain,
    ! [B: $i,A: $i] :
      ( ( ( A @ ax2_sk3 )
       != B )
      | ( ( A @ ax2_sk3 @ ax0_sk7 )
       != ( B @ ax0_sk8 ) ) ),
    inference(simp,[status(thm)],[401]) ).

thf(404,plain,
    ! [A: $i] :
      ( ( A @ ax2_sk3 @ ax0_sk7 )
     != ( A @ ax2_sk3 @ ax0_sk8 ) ),
    inference(simp,[status(thm)],[402]) ).

thf(125182,plain,
    ! [A: $i] :
      ( ( ( sk25 @ ax2_sk3 @ ax0_sk7 )
       != ( A @ ax2_sk3 @ ax0_sk7 ) )
      | ( ( sk25 @ ax2_sk6 )
       != ( A @ ax2_sk3 @ ax0_sk8 ) ) ),
    inference(paramod_ordered,[status(thm)],[121892,404]) ).

thf(125183,plain,
    ( ( sk25 @ ax2_sk6 )
   != ( sk25 @ ax2_sk3 @ ax0_sk8 ) ),
    inference(pattern_uni,[status(thm)],[125182:[bind(A,$thf( sk25 ))]]) ).

thf(45,axiom,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ incident_c ) )
      | ~ ( B @ ( A @ inner_point ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_point_defn_21) ).

thf(193,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ incident_c ) )
      | ~ ( B @ ( A @ inner_point ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(194,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ incident_c ) )
      | ~ ( B @ ( A @ inner_point ) ) ),
    inference(cnf,[status(esa)],[193]) ).

thf(1065,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ ( A @ ax0_sk8 @ inner_point ) )
       != ( C @ ( B @ inner_point ) ) )
      | ( C @ ( B @ incident_c ) )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[139,194]) ).

thf(1066,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ ( A @ ax0_sk8 @ inner_point ) )
       != ( C @ ( B @ inner_point ) ) )
      | ( C @ ( B @ incident_c ) ) ),
    inference(simp,[status(thm)],[1065]) ).

thf(1067,plain,
    ! [A: $i] : ( A @ ( A @ ax0_sk8 @ incident_c ) ),
    inference(pattern_uni,[status(thm)],[1066:[bind(A,$thf( D )),bind(B,$thf( D @ ax0_sk8 )),bind(C,$thf( D ))]]) ).

thf(1068,plain,
    ! [A: $i] : ( A @ ( A @ ax0_sk8 @ incident_c ) ),
    inference(simp,[status(thm)],[1067]) ).

thf(2579,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ ( A @ ax0_sk8 @ incident_c ) )
       != ( C @ ax2_sk3 @ ( B @ incident_c ) ) )
      | ( C @ ( B @ incident_o ) )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[1068,214]) ).

thf(2580,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ ( A @ ax0_sk8 @ incident_c ) )
       != ( C @ ax2_sk3 @ ( B @ incident_c ) ) )
      | ( C @ ( B @ incident_o ) ) ),
    inference(simp,[status(thm)],[2579]) ).

thf(2581,plain,
    ! [A: $i] : ( A @ ( A @ ax2_sk3 @ ax0_sk8 @ incident_o ) ),
    inference(pattern_uni,[status(thm)],[2580:[bind(A,$thf( E @ ax2_sk3 )),bind(B,$thf( E @ ax2_sk3 @ ax0_sk8 )),bind(C,$thf( E ))]]) ).

thf(2646,plain,
    ! [A: $i] : ( A @ ( A @ ax2_sk3 @ ax0_sk8 @ incident_o ) ),
    inference(simp,[status(thm)],[2581]) ).

thf(121682,plain,
    ! [B: $i,A: $i] :
      ( ( ( A @ ( A @ ax2_sk3 @ ax0_sk8 @ incident_o ) )
       != ( sk25 @ ( B @ incident_o ) ) )
      | ~ $true
      | ( ( sk25 @ ax2_sk6 )
        = B ) ),
    inference(paramod_ordered,[status(thm)],[2646,119271]) ).

thf(121683,plain,
    ! [B: $i,A: $i] :
      ( ( ( A @ ( A @ ax2_sk3 @ ax0_sk8 @ incident_o ) )
       != ( sk25 @ ( B @ incident_o ) ) )
      | ( ( sk25 @ ax2_sk6 )
        = B ) ),
    inference(simp,[status(thm)],[121682]) ).

thf(121684,plain,
    ( ( sk25 @ ax2_sk6 )
    = ( sk25 @ ax2_sk3 @ ax0_sk8 ) ),
    inference(pattern_uni,[status(thm)],[121683:[bind(A,$thf( sk25 )),bind(B,$thf( sk25 @ ax2_sk3 @ ax0_sk8 ))]]) ).

thf(125929,plain,
    $false,
    inference(simplifyReflect,[status(thm)],[125183,121684]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GEO126-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.08  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.14/0.40  % Computer : n017.cluster.edu
% 0.14/0.40  % Model    : x86_64 x86_64
% 0.14/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40  % Memory   : 8046.5625MB
% 0.14/0.40  % OS       : Linux 6.8.0-71-generic
% 0.14/0.40  % CPULimit : 300
% 0.14/0.40  % WCLimit  : 300
% 0.14/0.40  % DateTime : Fri Sep 25 12:46:17 UTC 2026
% 0.14/0.40  % CPUTime  : 
% 0.14/0.40  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.88/1.00  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.39/1.27  % [INFO] 	 Parsing done (266ms). 
% 1.39/1.29  % [INFO] 	 Running in sequential loop mode. 
% 2.24/1.69  % [INFO] 	 eprover registered as external prover. 
% 2.43/1.70  % [INFO] 	 Scanning for conjecture ... 
% 2.62/1.81  % [INFO] 	 Found a conjecture (or negated_conjecture) and 96 axioms. Running axiom selection ... 
% 2.82/1.92  % [INFO] 	 Axiom selection finished. Selected 85 axioms (removed 11 axioms). 
% 2.82/2.02  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 3.18/2.03  % [INFO] 	 Type checking passed. 
% 3.18/2.04  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 121.80/57.40  % [INFO] 	 Killing All external provers ... 
% 122.00/57.40  % Time passed: 56835ms (effective reasoning time: 56104ms)
% 122.00/57.40  % Axioms used in derivation (9): inner_point_defn_22, start_point_defn_8, o2_21, o2_19, o4_29, inner_point_defn_21, c3_37, end_point_defn_13, open_defn_33
% 122.00/57.40  % No. of inferences in proof: 74
% 122.00/57.40  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 56835 ms resp. 56104 ms w/o parsing
% 122.00/57.45  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 122.00/57.45  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------