TSTP Solution File: GEO126-1 by Leo-III---1.7.7

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : GEO126-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n003.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 19 11:09:26 EDT 2023

% Result   : Unsatisfiable 87.10s 33.76s
% Output   : Refutation 87.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   89 (  30 unt;  13 typ;   0 def)
%            Number of atoms       :  167 (  48 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  492 (  71   ~;  65   |;   0   &; 356   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   19 (  19   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   2 con; 0-3 aty)
%            Number of variables   :  127 (   0   ^; 127   !;   0   ?; 127   :)

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

thf(sk25_type,type,
    sk25: $i ).

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

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

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

thf(ax0_sk8_type,type,
    ax0_sk8: $i > $i ).

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

thf(underlying_curve_type,type,
    underlying_curve: $i > $i ).

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

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

thf(ax2_sk6_type,type,
    ax2_sk6: $i > $i ).

thf(ax2_sk3_type,type,
    ax2_sk3: $i > $i ).

thf(ax0_sk7_type,type,
    ax0_sk7: $i > $i ).

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

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

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

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

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

thf(357,plain,
    ! [B: $i,A: $i] :
      ( ( end_point @ ( ax0_sk7 @ B ) @ B )
      | ( ( open @ ( ax2_sk3 @ A ) )
       != ( open @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[198,210]) ).

thf(358,plain,
    ! [A: $i] : ( end_point @ ( ax0_sk7 @ ( ax2_sk3 @ A ) ) @ ( ax2_sk3 @ A ) ),
    inference(pattern_uni,[status(thm)],[357:[bind(A,$thf( C )),bind(B,$thf( ax2_sk3 @ C ))]]) ).

thf(365,plain,
    ! [A: $i] : ( end_point @ ( ax0_sk7 @ ( ax2_sk3 @ A ) ) @ ( ax2_sk3 @ A ) ),
    inference(simp,[status(thm)],[358]) ).

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

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

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

thf(1212,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( incident_c @ B @ C )
      | ( ( end_point @ ( ax0_sk7 @ ( ax2_sk3 @ A ) ) @ ( ax2_sk3 @ A ) )
       != ( end_point @ B @ C ) ) ),
    inference(paramod_ordered,[status(thm)],[365,222]) ).

thf(1213,plain,
    ! [A: $i] : ( incident_c @ ( ax0_sk7 @ ( ax2_sk3 @ A ) ) @ ( ax2_sk3 @ A ) ),
    inference(pattern_uni,[status(thm)],[1212:[bind(A,$thf( F )),bind(B,$thf( ax0_sk7 @ ( ax2_sk3 @ F ) )),bind(C,$thf( ax2_sk3 @ F ))]]) ).

thf(1227,plain,
    ! [A: $i] : ( incident_c @ ( ax0_sk7 @ ( ax2_sk3 @ A ) ) @ ( ax2_sk3 @ A ) ),
    inference(simp,[status(thm)],[1213]) ).

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

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

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

thf(2391,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( incident_o @ B @ C )
      | ( ( incident_c @ ( ax0_sk7 @ ( ax2_sk3 @ A ) ) @ ( ax2_sk3 @ A ) )
       != ( incident_c @ B @ ( ax2_sk3 @ C ) ) ) ),
    inference(paramod_ordered,[status(thm)],[1227,214]) ).

thf(2392,plain,
    ! [A: $i] : ( incident_o @ ( ax0_sk7 @ ( ax2_sk3 @ A ) ) @ A ),
    inference(pattern_uni,[status(thm)],[2391:[bind(A,$thf( E )),bind(B,$thf( ax0_sk7 @ ( ax2_sk3 @ E ) )),bind(C,$thf( E ))]]) ).

thf(2436,plain,
    ! [A: $i] : ( incident_o @ ( ax0_sk7 @ ( ax2_sk3 @ A ) ) @ A ),
    inference(simp,[status(thm)],[2392]) ).

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

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

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

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

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

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

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

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

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

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

thf(100304,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( A = C )
      | ~ ( start_point @ A @ B )
      | ~ ( incident_o @ C @ B )
      | ( D = E )
      | ( ( ordered_by @ B @ A @ C )
       != ( ordered_by @ sk25 @ D @ E ) ) ),
    inference(paramod_ordered,[status(thm)],[251,89]) ).

thf(100305,plain,
    ! [B: $i,A: $i] :
      ( ( A = B )
      | ~ ( start_point @ A @ sk25 )
      | ~ ( incident_o @ B @ sk25 )
      | ( A = B ) ),
    inference(pattern_uni,[status(thm)],[100304:[bind(A,$thf( A )),bind(B,$thf( sk25 )),bind(C,$thf( C )),bind(D,$thf( A )),bind(E,$thf( C ))]]) ).

thf(105238,plain,
    ! [B: $i,A: $i] :
      ( ( A = B )
      | ~ ( start_point @ A @ sk25 )
      | ~ ( incident_o @ B @ sk25 ) ),
    inference(simp,[status(thm)],[100305]) ).

thf(109801,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( B = C )
      | ~ ( incident_o @ C @ sk25 )
      | ( ( start_point @ ( ax2_sk6 @ A ) @ A )
       != ( start_point @ B @ sk25 ) ) ),
    inference(paramod_ordered,[status(thm)],[192,105238]) ).

thf(109802,plain,
    ! [A: $i] :
      ( ( ( ax2_sk6 @ sk25 )
        = A )
      | ~ ( incident_o @ A @ sk25 ) ),
    inference(pattern_uni,[status(thm)],[109801:[bind(A,$thf( sk25 )),bind(B,$thf( ax2_sk6 @ sk25 )),bind(C,$thf( C ))]]) ).

thf(114909,plain,
    ! [A: $i] :
      ( ( ( ax2_sk6 @ sk25 )
        = A )
      | ~ ( incident_o @ A @ sk25 ) ),
    inference(simp,[status(thm)],[109802]) ).

thf(123498,plain,
    ! [B: $i,A: $i] :
      ( ( ( ax2_sk6 @ sk25 )
        = B )
      | ( ( incident_o @ ( ax0_sk7 @ ( ax2_sk3 @ A ) ) @ A )
       != ( incident_o @ B @ sk25 ) ) ),
    inference(paramod_ordered,[status(thm)],[2436,114909]) ).

thf(123499,plain,
    ( ( ax0_sk7 @ ( ax2_sk3 @ sk25 ) )
    = ( ax2_sk6 @ sk25 ) ),
    inference(pattern_uni,[status(thm)],[123498:[bind(A,$thf( sk25 )),bind(B,$thf( ax0_sk7 @ ( ax2_sk3 @ sk25 ) ))]]) ).

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

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

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

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

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

thf(1032,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( incident_c @ B @ C )
      | ( ( inner_point @ ( ax0_sk8 @ A ) @ A )
       != ( inner_point @ B @ C ) ) ),
    inference(paramod_ordered,[status(thm)],[139,194]) ).

thf(1033,plain,
    ! [A: $i] : ( incident_c @ ( ax0_sk8 @ A ) @ A ),
    inference(pattern_uni,[status(thm)],[1032:[bind(A,$thf( D )),bind(B,$thf( ax0_sk8 @ D )),bind(C,$thf( D ))]]) ).

thf(1034,plain,
    ! [A: $i] : ( incident_c @ ( ax0_sk8 @ A ) @ A ),
    inference(simp,[status(thm)],[1033]) ).

thf(41,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( A
       != ( underlying_curve @ B ) )
      | ~ ( incident_c @ C @ A )
      | ( incident_o @ C @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',underlying_curve_defn_38) ).

thf(181,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( A
       != ( underlying_curve @ B ) )
      | ~ ( incident_c @ C @ A )
      | ( incident_o @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(182,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( A
       != ( underlying_curve @ B ) )
      | ~ ( incident_c @ C @ A )
      | ( incident_o @ C @ B ) ),
    inference(cnf,[status(esa)],[181]) ).

thf(183,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( A
       != ( underlying_curve @ B ) )
      | ~ ( incident_c @ C @ A )
      | ( incident_o @ C @ B ) ),
    inference(lifteq,[status(thm)],[182]) ).

thf(184,plain,
    ! [B: $i,A: $i] :
      ( ~ ( incident_c @ B @ ( underlying_curve @ A ) )
      | ( incident_o @ B @ A ) ),
    inference(simp,[status(thm)],[183]) ).

thf(1542,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( incident_o @ C @ B )
      | ( ( incident_c @ ( ax0_sk8 @ A ) @ A )
       != ( incident_c @ C @ ( underlying_curve @ B ) ) ) ),
    inference(paramod_ordered,[status(thm)],[1034,184]) ).

thf(1543,plain,
    ! [A: $i] : ( incident_o @ ( ax0_sk8 @ ( underlying_curve @ A ) ) @ A ),
    inference(pattern_uni,[status(thm)],[1542:[bind(A,$thf( underlying_curve @ E )),bind(B,$thf( E )),bind(C,$thf( ax0_sk8 @ ( underlying_curve @ E ) ))]]) ).

thf(1560,plain,
    ! [A: $i] : ( incident_o @ ( ax0_sk8 @ ( underlying_curve @ A ) ) @ A ),
    inference(simp,[status(thm)],[1543]) ).

thf(121776,plain,
    ! [B: $i,A: $i] :
      ( ( ( ax2_sk6 @ sk25 )
        = B )
      | ( ( incident_o @ ( ax0_sk8 @ ( underlying_curve @ A ) ) @ A )
       != ( incident_o @ B @ sk25 ) ) ),
    inference(paramod_ordered,[status(thm)],[1560,114909]) ).

thf(121777,plain,
    ( ( ax2_sk6 @ sk25 )
    = ( ax0_sk8 @ ( underlying_curve @ sk25 ) ) ),
    inference(pattern_uni,[status(thm)],[121776:[bind(A,$thf( sk25 )),bind(B,$thf( ax0_sk8 @ ( underlying_curve @ sk25 ) ))]]) ).

thf(132074,plain,
    ( ( ax0_sk7 @ ( ax2_sk3 @ sk25 ) )
    = ( ax0_sk8 @ ( underlying_curve @ sk25 ) ) ),
    inference(rewrite,[status(thm)],[123499,121777]) ).

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

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

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

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

thf(281,plain,
    ! [A: $i] :
      ~ ( end_point @ ( ax0_sk8 @ A ) @ A ),
    inference(pattern_uni,[status(thm)],[280:[bind(A,$thf( D )),bind(B,$thf( ax0_sk8 @ D )),bind(C,$thf( D ))]]) ).

thf(282,plain,
    ! [A: $i] :
      ~ ( end_point @ ( ax0_sk8 @ A ) @ A ),
    inference(simp,[status(thm)],[281]) ).

thf(385,plain,
    ! [B: $i,A: $i] :
      ( ( end_point @ ( ax0_sk7 @ ( ax2_sk3 @ A ) ) @ ( ax2_sk3 @ A ) )
     != ( end_point @ ( ax0_sk8 @ B ) @ B ) ),
    inference(paramod_ordered,[status(thm)],[365,282]) ).

thf(388,plain,
    ! [B: $i,A: $i] :
      ( ( ( ax0_sk7 @ ( ax2_sk3 @ A ) )
       != ( ax0_sk8 @ B ) )
      | ( ( ax2_sk3 @ A )
       != B ) ),
    inference(simp,[status(thm)],[385]) ).

thf(393,plain,
    ! [A: $i] :
      ( ( ax0_sk7 @ ( ax2_sk3 @ A ) )
     != ( ax0_sk8 @ ( ax2_sk3 @ A ) ) ),
    inference(simp,[status(thm)],[388]) ).

thf(132171,plain,
    ! [A: $i] :
      ( ( ( ax0_sk8 @ ( ax2_sk3 @ A ) )
       != ( ax0_sk8 @ ( underlying_curve @ sk25 ) ) )
      | ( ( ax0_sk7 @ ( ax2_sk3 @ sk25 ) )
       != ( ax0_sk7 @ ( ax2_sk3 @ A ) ) ) ),
    inference(paramod_ordered,[status(thm)],[132074,393]) ).

thf(132172,plain,
    ( ( ax0_sk8 @ ( ax2_sk3 @ sk25 ) )
   != ( ax0_sk8 @ ( underlying_curve @ sk25 ) ) ),
    inference(pattern_uni,[status(thm)],[132171:[bind(A,$thf( sk25 ))]]) ).

thf(2396,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( incident_o @ B @ C )
      | ( ( incident_c @ ( ax0_sk8 @ A ) @ A )
       != ( incident_c @ B @ ( ax2_sk3 @ C ) ) ) ),
    inference(paramod_ordered,[status(thm)],[1034,214]) ).

thf(2397,plain,
    ! [A: $i] : ( incident_o @ ( ax0_sk8 @ ( ax2_sk3 @ A ) ) @ A ),
    inference(pattern_uni,[status(thm)],[2396:[bind(A,$thf( ax2_sk3 @ E )),bind(B,$thf( ax0_sk8 @ ( ax2_sk3 @ E ) )),bind(C,$thf( E ))]]) ).

thf(2438,plain,
    ! [A: $i] : ( incident_o @ ( ax0_sk8 @ ( ax2_sk3 @ A ) ) @ A ),
    inference(simp,[status(thm)],[2397]) ).

thf(123504,plain,
    ! [B: $i,A: $i] :
      ( ( ( ax2_sk6 @ sk25 )
        = B )
      | ( ( incident_o @ ( ax0_sk8 @ ( ax2_sk3 @ A ) ) @ A )
       != ( incident_o @ B @ sk25 ) ) ),
    inference(paramod_ordered,[status(thm)],[2438,114909]) ).

thf(123505,plain,
    ( ( ax2_sk6 @ sk25 )
    = ( ax0_sk8 @ ( ax2_sk3 @ sk25 ) ) ),
    inference(pattern_uni,[status(thm)],[123504:[bind(A,$thf( sk25 )),bind(B,$thf( ax0_sk8 @ ( ax2_sk3 @ sk25 ) ))]]) ).

thf(132535,plain,
    ( ( ax0_sk8 @ ( ax2_sk3 @ sk25 ) )
    = ( ax0_sk8 @ ( underlying_curve @ sk25 ) ) ),
    inference(rewrite,[status(thm)],[123505,121777]) ).

thf(133358,plain,
    ( ( ax0_sk8 @ ( underlying_curve @ sk25 ) )
   != ( ax0_sk8 @ ( underlying_curve @ sk25 ) ) ),
    inference(rewrite,[status(thm)],[132172,132535]) ).

thf(133359,plain,
    $false,
    inference(simp,[status(thm)],[133358]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO126-1 : TPTP v8.1.2. Released v2.4.0.
% 0.15/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.35  % Computer : n003.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 19 04:20:17 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.94/0.84  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.29/1.00  % [INFO] 	 Parsing done (159ms). 
% 1.29/1.01  % [INFO] 	 Running in sequential loop mode. 
% 1.84/1.21  % [INFO] 	 eprover registered as external prover. 
% 1.84/1.21  % [INFO] 	 cvc4 registered as external prover. 
% 1.84/1.21  % [INFO] 	 Scanning for conjecture ... 
% 2.02/1.28  % [INFO] 	 Found a conjecture and 96 axioms. Running axiom selection ... 
% 2.20/1.34  % [INFO] 	 Axiom selection finished. Selected 85 axioms (removed 11 axioms). 
% 2.42/1.41  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.42/1.41  % [INFO] 	 Type checking passed. 
% 2.42/1.42  % [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 ... 
% 87.10/33.76  % [INFO] 	 Killing All external provers ... 
% 87.10/33.76  % Time passed: 33237ms (effective reasoning time: 32744ms)
% 87.10/33.76  % Solved by 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)>
% 87.10/33.76  % Axioms used in derivation (10): inner_point_defn_22, start_point_defn_8, o2_21, o4_29, inner_point_defn_21, c3_37, underlying_curve_defn_38, o2_19, end_point_defn_13, open_defn_33
% 87.10/33.76  % No. of inferences in proof: 76
% 87.10/33.76  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 33237 ms resp. 32744 ms w/o parsing
% 87.10/33.79  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 87.10/33.79  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------