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Leo-III---1.8.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SEU120+1 : TPTP v9.3.1. Released v3.3.0.
% 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 08:37:37 AM UTC 2026

% Result   : Theorem 15.54s 4.66s
% Output   : Refutation 16.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   69 (  15 unt;   0 typ;   6 def)
%            Number of atoms       :  201 (  67 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  600 ( 104   ~;  67   |;  25   &; 394   @)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :  112 (   1   ^;  88   !;  17   ?; 112   :)
%                                         (   0  !>;   0  ?*;   0  @-;   6  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(disjoint_decl,type,
    disjoint: $i > $i > $o ).

thf(in_decl,type,
    in: $i > $i > $o ).

thf(set_intersection2_decl,type,
    set_intersection2: $i > $i > $i ).

thf(empty_set_decl,type,
    empty_set: $i ).

thf(sk1_decl,type,
    sk1: $i ).

thf(sk2_decl,type,
    sk2: $i ).

thf(sk3_decl,type,
    sk3: $i ).

thf(sk4_decl,type,
    sk4: $i ).

thf(sk5_decl,type,
    sk5: $i ).

thf(sk6_decl,type,
    sk6: $i > $i ).

thf(sk1_def,definition,
    ( sk1
    = ( @+[A: $i] :
        ? [B: $i] :
          ( ~ ? [C: $i] : ( B @ ( A @ set_intersection2 ) @ ( C @ in ) )
          & ~ ( B @ ( A @ disjoint ) ) ) ) ) ).

thf(sk2_def,definition,
    ( sk2
    = ( @+[A: $i] :
          ( ~ ? [B: $i] : ( A @ ( sk1 @ set_intersection2 ) @ ( B @ in ) )
          & ~ ( A @ ( sk1 @ disjoint ) ) ) ) ) ).

thf(sk3_def,definition,
    ( sk3
    = ( @+[A: $i] :
        ? [B: $i] :
          ( ( B @ ( A @ disjoint ) )
          & ? [C: $i] : ( B @ ( A @ set_intersection2 ) @ ( C @ in ) ) ) ) ) ).

thf(sk4_def,definition,
    ( sk4
    = ( @+[A: $i] :
          ( ( A @ ( sk3 @ disjoint ) )
          & ? [B: $i] : ( A @ ( sk3 @ set_intersection2 ) @ ( B @ in ) ) ) ) ) ).

thf(sk5_def,definition,
    ( sk5
    = ( @+[A: $i] : ( sk4 @ ( sk3 @ set_intersection2 ) @ ( A @ in ) ) ) ) ).

thf(sk6_def,definition,
    ( sk6
    = ( ^ [A: $i] :
        @+[B: $i] : ( A @ ( B @ in ) ) ) ) ).

thf(5,axiom,
    ! [A: $i] :
      ( ( A = empty_set )
    <=> ! [B: $i] :
          ~ ( A @ ( B @ in ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).

thf(26,plain,
    ! [A: $i] :
      ( ( ! [B: $i] :
            ~ ( A @ ( B @ in ) )
       => ( A = empty_set ) )
      & ( ( A = empty_set )
       => ! [B: $i] :
            ~ ( A @ ( B @ in ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(27,plain,
    ( ! [A: $i] :
        ( ~ ? [B: $i] : ( A @ ( B @ in ) )
       => ( A = empty_set ) )
    & ! [A: $i] :
        ( ( A = empty_set )
       => ~ ? [B: $i] : ( A @ ( B @ in ) ) ) ),
    inference(miniscope,[status(thm)],[26]) ).

thf(28,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( C = empty_set )
        | ( C @ ( C @ sk6 @ in ) ) )
      & ( ~ ( A @ ( B @ in ) )
        | ( A != empty_set ) ) ),
    inference(cnf,[status(esa)],[27]) ).

thf(30,plain,
    ! [A: $i] :
      ( ( A = empty_set )
      | ( A @ ( A @ sk6 @ in ) ) ),
    inference(cnfConj,[status(thm)],[28]) ).

thf(33,plain,
    ! [A: $i] :
      ( ( A @ ( A @ sk6 @ in ) )
      | ( A = empty_set ) ),
    inference(lifteq,[status(thm)],[30]) ).

thf(34,plain,
    ! [A: $i] :
      ( ( A @ ( A @ sk6 @ in ) )
      | ( A = empty_set ) ),
    inference(simp,[status(thm)],[33]) ).

thf(1,conjecture,
    ! [A: $i,B: $i] :
      ( ~ ( ( B @ ( A @ disjoint ) )
          & ? [C: $i] : ( B @ ( A @ set_intersection2 ) @ ( C @ in ) ) )
      & ~ ( ! [C: $i] :
              ~ ( B @ ( A @ set_intersection2 ) @ ( C @ in ) )
          & ~ ( B @ ( A @ disjoint ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_xboole_0) ).

thf(2,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ~ ( ( B @ ( A @ disjoint ) )
            & ? [C: $i] : ( B @ ( A @ set_intersection2 ) @ ( C @ in ) ) )
        & ~ ( ! [C: $i] :
                ~ ( B @ ( A @ set_intersection2 ) @ ( C @ in ) )
            & ~ ( B @ ( A @ disjoint ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(14,plain,
    ~ ! [A: $i,B: $i] :
        ( ~ ( ( B @ ( A @ disjoint ) )
            & ? [C: $i] : ( B @ ( A @ set_intersection2 ) @ ( C @ in ) ) )
        & ~ ( ! [C: $i] :
                ~ ( B @ ( A @ set_intersection2 ) @ ( C @ in ) )
            & ~ ( B @ ( A @ disjoint ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(15,plain,
    ~ ( ~ ? [A: $i,B: $i] :
            ( ( B @ ( A @ disjoint ) )
            & ? [C: $i] : ( B @ ( A @ set_intersection2 ) @ ( C @ in ) ) )
      & ~ ? [A: $i,B: $i] :
            ( ~ ? [C: $i] : ( B @ ( A @ set_intersection2 ) @ ( C @ in ) )
            & ~ ( B @ ( A @ disjoint ) ) ) ),
    inference(miniscope,[status(thm)],[14]) ).

thf(16,plain,
    ! [A: $i] :
      ( ( ( sk4 @ ( sk3 @ disjoint ) )
        | ~ ( sk2 @ ( sk1 @ set_intersection2 ) @ ( A @ in ) ) )
      & ( ( sk4 @ ( sk3 @ set_intersection2 ) @ ( sk5 @ in ) )
        | ~ ( sk2 @ ( sk1 @ set_intersection2 ) @ ( A @ in ) ) )
      & ( ( sk4 @ ( sk3 @ disjoint ) )
        | ~ ( sk2 @ ( sk1 @ disjoint ) ) )
      & ( ( sk4 @ ( sk3 @ set_intersection2 ) @ ( sk5 @ in ) )
        | ~ ( sk2 @ ( sk1 @ disjoint ) ) ) ),
    inference(cnf,[status(esa)],[15]) ).

thf(19,plain,
    ! [A: $i] :
      ( ( sk4 @ ( sk3 @ set_intersection2 ) @ ( sk5 @ in ) )
      | ~ ( sk2 @ ( sk1 @ set_intersection2 ) @ ( A @ in ) ) ),
    inference(cnfConj,[status(thm)],[16]) ).

thf(29,plain,
    ! [B: $i,A: $i] :
      ( ~ ( A @ ( B @ in ) )
      | ( A != empty_set ) ),
    inference(cnfConj,[status(thm)],[28]) ).

thf(31,plain,
    ! [B: $i,A: $i] :
      ( ~ ( A @ ( B @ in ) )
      | ( A != empty_set ) ),
    inference(lifteq,[status(thm)],[29]) ).

thf(32,plain,
    ! [A: $i] :
      ~ ( empty_set @ ( A @ in ) ),
    inference(simp,[status(thm)],[31]) ).

thf(77,plain,
    ! [B: $i,A: $i] :
      ( ( ( sk4 @ ( sk3 @ set_intersection2 ) @ ( sk5 @ in ) )
       != ( empty_set @ ( B @ in ) ) )
      | ~ $true
      | ~ ( sk2 @ ( sk1 @ set_intersection2 ) @ ( A @ in ) ) ),
    inference(paramod_ordered,[status(thm)],[19,32]) ).

thf(78,plain,
    ! [B: $i,A: $i] :
      ( ( ( sk4 @ ( sk3 @ set_intersection2 ) @ ( sk5 @ in ) )
       != ( empty_set @ ( B @ in ) ) )
      | ~ ( sk2 @ ( sk1 @ set_intersection2 ) @ ( A @ in ) ) ),
    inference(simp,[status(thm)],[77]) ).

thf(83,plain,
    ! [B: $i,A: $i] :
      ( ( ( sk4 @ ( sk3 @ set_intersection2 ) )
       != empty_set )
      | ( sk5 != B )
      | ~ ( sk2 @ ( sk1 @ set_intersection2 ) @ ( A @ in ) ) ),
    inference(simp,[status(thm)],[78]) ).

thf(88,plain,
    ! [A: $i] :
      ( ( ( sk4 @ ( sk3 @ set_intersection2 ) )
       != empty_set )
      | ~ ( sk2 @ ( sk1 @ set_intersection2 ) @ ( A @ in ) ) ),
    inference(simp,[status(thm)],[83]) ).

thf(20,plain,
    ! [A: $i] :
      ( ( sk4 @ ( sk3 @ disjoint ) )
      | ~ ( sk2 @ ( sk1 @ set_intersection2 ) @ ( A @ in ) ) ),
    inference(cnfConj,[status(thm)],[16]) ).

thf(143,plain,
    ! [B: $i,A: $i] :
      ( ( ( A @ ( A @ sk6 @ in ) )
       != ( sk2 @ ( sk1 @ set_intersection2 ) @ ( B @ in ) ) )
      | ( sk4 @ ( sk3 @ disjoint ) )
      | ~ $true
      | ( A = empty_set ) ),
    inference(paramod_ordered,[status(thm)],[34,20]) ).

thf(144,plain,
    ! [B: $i,A: $i] :
      ( ( ( A @ ( A @ sk6 @ in ) )
       != ( sk2 @ ( sk1 @ set_intersection2 ) @ ( B @ in ) ) )
      | ( sk4 @ ( sk3 @ disjoint ) )
      | ( A = empty_set ) ),
    inference(simp,[status(thm)],[143]) ).

thf(145,plain,
    ( ( sk4 @ ( sk3 @ disjoint ) )
    | ( ( sk2 @ ( sk1 @ set_intersection2 ) )
      = empty_set ) ),
    inference(pattern_uni,[status(thm)],[144:[bind(A,$thf( sk2 @ ( sk1 @ set_intersection2 ) )),bind(B,$thf( sk2 @ ( sk1 @ set_intersection2 ) @ sk6 ))]]) ).

thf(6,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjoint ) )
    <=> ( ( B @ ( A @ set_intersection2 ) )
        = empty_set ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_xboole_0) ).

thf(35,plain,
    ! [A: $i,B: $i] :
      ( ( ( ( B @ ( A @ set_intersection2 ) )
          = empty_set )
       => ( B @ ( A @ disjoint ) ) )
      & ( ( B @ ( A @ disjoint ) )
       => ( ( B @ ( A @ set_intersection2 ) )
          = empty_set ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(36,plain,
    ( ! [A: $i,B: $i] :
        ( ( ( B @ ( A @ set_intersection2 ) )
          = empty_set )
       => ( B @ ( A @ disjoint ) ) )
    & ! [A: $i,B: $i] :
        ( ( B @ ( A @ disjoint ) )
       => ( ( B @ ( A @ set_intersection2 ) )
          = empty_set ) ) ),
    inference(miniscope,[status(thm)],[35]) ).

thf(37,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( D @ ( C @ disjoint ) )
        | ( ( D @ ( C @ set_intersection2 ) )
         != empty_set ) )
      & ( ( ( B @ ( A @ set_intersection2 ) )
          = empty_set )
        | ~ ( B @ ( A @ disjoint ) ) ) ),
    inference(cnf,[status(esa)],[36]) ).

thf(39,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ disjoint ) )
      | ( ( B @ ( A @ set_intersection2 ) )
       != empty_set ) ),
    inference(cnfConj,[status(thm)],[37]) ).

thf(41,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ disjoint ) )
      | ( ( B @ ( A @ set_intersection2 ) )
       != empty_set ) ),
    inference(lifteq,[status(thm)],[39]) ).

thf(42,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ disjoint ) )
      | ( ( B @ ( A @ set_intersection2 ) )
       != empty_set ) ),
    inference(simp,[status(thm)],[41]) ).

thf(555,plain,
    ! [B: $i,A: $i] :
      ( ( ( sk2 @ ( sk1 @ set_intersection2 ) )
       != ( B @ ( A @ set_intersection2 ) ) )
      | ( B @ ( A @ disjoint ) )
      | ( empty_set != empty_set )
      | ( sk4 @ ( sk3 @ disjoint ) ) ),
    inference(paramod_ordered,[status(thm)],[145,42]) ).

thf(556,plain,
    ! [B: $i,A: $i] :
      ( ( ( sk2 @ ( sk1 @ set_intersection2 ) )
       != ( B @ ( A @ set_intersection2 ) ) )
      | ( B @ ( A @ disjoint ) )
      | ( sk4 @ ( sk3 @ disjoint ) ) ),
    inference(simp,[status(thm)],[555]) ).

thf(557,plain,
    ( ( sk2 @ ( sk1 @ disjoint ) )
    | ( sk4 @ ( sk3 @ disjoint ) ) ),
    inference(pattern_uni,[status(thm)],[556:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 ))]]) ).

thf(18,plain,
    ( ( sk4 @ ( sk3 @ disjoint ) )
    | ~ ( sk2 @ ( sk1 @ disjoint ) ) ),
    inference(cnfConj,[status(thm)],[16]) ).

thf(38,plain,
    ! [B: $i,A: $i] :
      ( ( ( B @ ( A @ set_intersection2 ) )
        = empty_set )
      | ~ ( B @ ( A @ disjoint ) ) ),
    inference(cnfConj,[status(thm)],[37]) ).

thf(40,plain,
    ! [B: $i,A: $i] :
      ( ~ ( B @ ( A @ disjoint ) )
      | ( ( B @ ( A @ set_intersection2 ) )
        = empty_set ) ),
    inference(lifteq,[status(thm)],[38]) ).

thf(17,plain,
    ( ( sk4 @ ( sk3 @ set_intersection2 ) @ ( sk5 @ in ) )
    | ~ ( sk2 @ ( sk1 @ disjoint ) ) ),
    inference(cnfConj,[status(thm)],[16]) ).

thf(65,plain,
    ! [A: $i] :
      ( ( ( sk4 @ ( sk3 @ set_intersection2 ) @ ( sk5 @ in ) )
       != ( empty_set @ ( A @ in ) ) )
      | ~ $true
      | ~ ( sk2 @ ( sk1 @ disjoint ) ) ),
    inference(paramod_ordered,[status(thm)],[17,32]) ).

thf(66,plain,
    ! [A: $i] :
      ( ( ( sk4 @ ( sk3 @ set_intersection2 ) @ ( sk5 @ in ) )
       != ( empty_set @ ( A @ in ) ) )
      | ~ ( sk2 @ ( sk1 @ disjoint ) ) ),
    inference(simp,[status(thm)],[65]) ).

thf(70,plain,
    ! [A: $i] :
      ( ( ( sk4 @ ( sk3 @ set_intersection2 ) )
       != empty_set )
      | ( sk5 != A )
      | ~ ( sk2 @ ( sk1 @ disjoint ) ) ),
    inference(simp,[status(thm)],[66]) ).

thf(73,plain,
    ( ( ( sk4 @ ( sk3 @ set_intersection2 ) )
     != empty_set )
    | ~ ( sk2 @ ( sk1 @ disjoint ) ) ),
    inference(simp,[status(thm)],[70]) ).

thf(472,plain,
    ! [B: $i,A: $i] :
      ( ( ( B @ ( A @ set_intersection2 ) )
       != ( sk4 @ ( sk3 @ set_intersection2 ) ) )
      | ( empty_set != empty_set )
      | ~ ( sk2 @ ( sk1 @ disjoint ) )
      | ~ ( B @ ( A @ disjoint ) ) ),
    inference(paramod_ordered,[status(thm)],[40,73]) ).

thf(473,plain,
    ! [B: $i,A: $i] :
      ( ( ( B @ ( A @ set_intersection2 ) )
       != ( sk4 @ ( sk3 @ set_intersection2 ) ) )
      | ~ ( sk2 @ ( sk1 @ disjoint ) )
      | ~ ( B @ ( A @ disjoint ) ) ),
    inference(simp,[status(thm)],[472]) ).

thf(474,plain,
    ( ~ ( sk2 @ ( sk1 @ disjoint ) )
    | ~ ( sk4 @ ( sk3 @ disjoint ) ) ),
    inference(pattern_uni,[status(thm)],[473:[bind(A,$thf( sk3 )),bind(B,$thf( sk4 ))]]) ).

thf(526,plain,
    ( ( ( sk4 @ ( sk3 @ disjoint ) )
     != ( sk4 @ ( sk3 @ disjoint ) ) )
    | ~ ( sk2 @ ( sk1 @ disjoint ) )
    | ~ $true
    | ~ ( sk2 @ ( sk1 @ disjoint ) ) ),
    inference(paramod_ordered,[status(thm)],[18,474]) ).

thf(527,plain,
    ( ( ( sk4 @ ( sk3 @ disjoint ) )
     != ( sk4 @ ( sk3 @ disjoint ) ) )
    | ~ ( sk2 @ ( sk1 @ disjoint ) ) ),
    inference(simp,[status(thm)],[526]) ).

thf(528,plain,
    ~ ( sk2 @ ( sk1 @ disjoint ) ),
    inference(pattern_uni,[status(thm)],[527:[]]) ).

thf(609,plain,
    ( $false
    | ( sk4 @ ( sk3 @ disjoint ) ) ),
    inference(rewrite,[status(thm)],[557,528]) ).

thf(610,plain,
    sk4 @ ( sk3 @ disjoint ),
    inference(simp,[status(thm)],[609]) ).

thf(611,plain,
    ! [B: $i,A: $i] :
      ( ( ( sk4 @ ( sk3 @ disjoint ) )
       != ( B @ ( A @ disjoint ) ) )
      | ~ $true
      | ( ( B @ ( A @ set_intersection2 ) )
        = empty_set ) ),
    inference(paramod_ordered,[status(thm)],[610,40]) ).

thf(612,plain,
    ! [B: $i,A: $i] :
      ( ( ( sk4 @ ( sk3 @ disjoint ) )
       != ( B @ ( A @ disjoint ) ) )
      | ( ( B @ ( A @ set_intersection2 ) )
        = empty_set ) ),
    inference(simp,[status(thm)],[611]) ).

thf(613,plain,
    ( ( sk4 @ ( sk3 @ set_intersection2 ) )
    = empty_set ),
    inference(pattern_uni,[status(thm)],[612:[bind(A,$thf( sk3 )),bind(B,$thf( sk4 ))]]) ).

thf(1049,plain,
    ! [A: $i] :
      ( ( empty_set != empty_set )
      | ~ ( sk2 @ ( sk1 @ set_intersection2 ) @ ( A @ in ) ) ),
    inference(rewrite,[status(thm)],[88,613]) ).

thf(1050,plain,
    ! [A: $i] :
      ~ ( sk2 @ ( sk1 @ set_intersection2 ) @ ( A @ in ) ),
    inference(simp,[status(thm)],[1049]) ).

thf(1067,plain,
    ! [B: $i,A: $i] :
      ( ( ( A @ ( A @ sk6 @ in ) )
       != ( sk2 @ ( sk1 @ set_intersection2 ) @ ( B @ in ) ) )
      | ~ $true
      | ( A = empty_set ) ),
    inference(paramod_ordered,[status(thm)],[34,1050]) ).

thf(1068,plain,
    ! [B: $i,A: $i] :
      ( ( ( A @ ( A @ sk6 @ in ) )
       != ( sk2 @ ( sk1 @ set_intersection2 ) @ ( B @ in ) ) )
      | ( A = empty_set ) ),
    inference(simp,[status(thm)],[1067]) ).

thf(1069,plain,
    ( ( sk2 @ ( sk1 @ set_intersection2 ) )
    = empty_set ),
    inference(pattern_uni,[status(thm)],[1068:[bind(A,$thf( sk2 @ ( sk1 @ set_intersection2 ) )),bind(B,$thf( sk2 @ ( sk1 @ set_intersection2 ) @ sk6 ))]]) ).

thf(1098,plain,
    ! [B: $i,A: $i] :
      ( ( ( sk2 @ ( sk1 @ set_intersection2 ) )
       != ( B @ ( A @ set_intersection2 ) ) )
      | ( B @ ( A @ disjoint ) )
      | ( empty_set != empty_set ) ),
    inference(paramod_ordered,[status(thm)],[1069,42]) ).

thf(1099,plain,
    ! [B: $i,A: $i] :
      ( ( ( sk2 @ ( sk1 @ set_intersection2 ) )
       != ( B @ ( A @ set_intersection2 ) ) )
      | ( B @ ( A @ disjoint ) ) ),
    inference(simp,[status(thm)],[1098]) ).

thf(1100,plain,
    sk2 @ ( sk1 @ disjoint ),
    inference(pattern_uni,[status(thm)],[1099:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 ))]]) ).

thf(1132,plain,
    $false,
    inference(rewrite,[status(thm)],[1100,528]) ).

thf(1133,plain,
    $false,
    inference(simp,[status(thm)],[1132]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU120+1 : TPTP v9.3.1. Released v3.3.0.
% 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
% 0.14/0.41  % Computer : n017.cluster.edu
% 0.14/0.41  % Model    : x86_64 x86_64
% 0.14/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41  % Memory   : 8046.5625MB
% 0.14/0.41  % OS       : Linux 6.8.0-71-generic
% 0.14/0.41  % CPULimit : 300
% 0.14/0.41  % WCLimit  : 300
% 0.14/0.41  % DateTime : Sat Sep 26 08:32:48 UTC 2026
% 0.14/0.41  % CPUTime  : 
% 0.14/0.41  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
% 0.84/0.87  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.05/1.04  % [INFO] 	 Parsing done (165ms). 
% 1.05/1.05  % [INFO] 	 Running in sequential loop mode. 
% 2.08/1.40  % [INFO] 	 eprover registered as external prover. 
% 2.08/1.41  % [INFO] 	 Scanning for conjecture ... 
% 2.08/1.49  % [INFO] 	 Found a conjecture (or negated_conjecture) and 11 axioms. Running axiom selection ... 
% 2.29/1.52  % [INFO] 	 Axiom selection finished. Selected 11 axioms (removed 0 axioms). 
% 2.29/1.54  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.29/1.54  % [INFO] 	 Type checking passed. 
% 2.29/1.55  % [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 ... 
% 15.54/4.65  % [INFO] 	 Killing All external provers ... 
% 15.54/4.65  % Time passed: 4130ms (effective reasoning time: 3590ms)
% 15.54/4.65  % 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)>
% 15.54/4.66  % Axioms used in derivation (2): d1_xboole_0, d7_xboole_0
% 15.54/4.66  % No. of inferences in proof: 63
% 15.54/4.66  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 4130 ms resp. 3590 ms w/o parsing
% 16.12/4.75  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 16.12/4.75  % [INFO] 	 Killing All external provers ... 
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