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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : GRP697-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39

% Computer : n009.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 07:21:47 AM UTC 2026

% Result   : Unsatisfiable 47.85s 10.32s
% Output   : Refutation 47.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   89 (  59 unt;   0 typ;   0 def)
%            Number of atoms       :  131 ( 130 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  569 (  68   ~;  42   |;   0   &; 459   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :  120 (   0   ^; 120   !;   0   ?; 120   :)

% Comments : 
%------------------------------------------------------------------------------
thf(mult_decl,type,
    mult: $i > $i > $i ).

thf(a_decl,type,
    a: $i ).

thf(b_decl,type,
    b: $i ).

thf(c_decl,type,
    c: $i ).

thf(ld_decl,type,
    ld: $i > $i > $i ).

thf(rd_decl,type,
    rd: $i > $i > $i ).

thf(unit_decl,type,
    unit: $i ).

thf(i_decl,type,
    i: $i > $i ).

thf(6,axiom,
    ! [A: $i] :
      ( ( unit @ ( A @ mult ) )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).

thf(24,plain,
    ! [A: $i] :
      ( ( unit @ ( A @ mult ) )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(25,plain,
    ! [A: $i] :
      ( ( unit @ ( A @ mult ) )
      = A ),
    inference(lifteq,[status(thm)],[24]) ).

thf(1,negated_conjecture,
    ( ( b @ ( c @ mult ) @ ( b @ mult ) @ ( b @ ( a @ mult ) @ mult ) )
   != ( b @ ( c @ ( b @ mult ) @ ( b @ mult ) @ ( a @ mult ) @ mult ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

thf(13,plain,
    ( ( b @ ( c @ mult ) @ ( b @ mult ) @ ( b @ ( a @ mult ) @ mult ) )
   != ( b @ ( c @ ( b @ mult ) @ ( b @ mult ) @ ( a @ mult ) @ mult ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(14,plain,
    ( ( b @ ( c @ mult ) @ ( b @ mult ) @ ( b @ ( a @ mult ) @ mult ) )
   != ( b @ ( c @ ( b @ mult ) @ ( b @ mult ) @ ( a @ mult ) @ mult ) ) ),
    inference(polarity_switch,[status(thm)],[13]) ).

thf(15,plain,
    ( ( b @ ( c @ ( b @ mult ) @ ( b @ mult ) @ ( a @ mult ) @ mult ) )
   != ( b @ ( c @ mult ) @ ( b @ mult ) @ ( b @ ( a @ mult ) @ mult ) ) ),
    inference(lifteq,[status(thm)],[14]) ).

thf(54,plain,
    ( ( ( b @ ( c @ mult ) @ ( b @ mult ) )
     != b )
    | ( ( c @ ( b @ mult ) @ ( b @ mult ) @ ( a @ mult ) )
     != ( b @ ( a @ mult ) ) ) ),
    inference(simp,[status(thm)],[15]) ).

thf(121,plain,
    ! [A: $i] :
      ( ( ( unit @ ( A @ mult ) )
       != ( c @ ( b @ mult ) @ ( b @ mult ) ) )
      | ( ( b @ ( c @ mult ) @ ( b @ mult ) )
       != b )
      | ( ( A @ ( a @ mult ) )
       != ( b @ ( a @ mult ) ) ) ),
    inference(paramod_ordered,[status(thm)],[25,54]) ).

thf(141,plain,
    ! [A: $i] :
      ( ( ( c @ ( b @ mult ) )
       != unit )
      | ( A != b )
      | ( ( b @ ( c @ mult ) @ ( b @ mult ) )
       != b )
      | ( A != b )
      | ( a != a ) ),
    inference(simp,[status(thm)],[121]) ).

thf(184,plain,
    ( ( ( c @ ( b @ mult ) )
     != unit )
    | ( ( b @ ( c @ mult ) @ ( b @ mult ) )
     != b ) ),
    inference(simp,[status(thm)],[141]) ).

thf(218,plain,
    ! [A: $i] :
      ( ( ( unit @ ( A @ mult ) )
       != ( b @ ( c @ mult ) @ ( b @ mult ) ) )
      | ( ( c @ ( b @ mult ) )
       != unit )
      | ( A != b ) ),
    inference(paramod_ordered,[status(thm)],[25,184]) ).

thf(238,plain,
    ( ( ( b @ ( c @ mult ) )
     != unit )
    | ( b != b )
    | ( ( c @ ( b @ mult ) )
     != unit ) ),
    inference(simp,[status(thm)],[218]) ).

thf(244,plain,
    ( ( ( b @ ( c @ mult ) )
     != unit )
    | ( ( c @ ( b @ mult ) )
     != unit ) ),
    inference(simp,[status(thm)],[238]) ).

thf(255,plain,
    ( ( unit != unit )
    | ( ( b @ ( c @ mult ) )
     != ( c @ ( b @ mult ) ) )
    | ( ( c @ ( b @ mult ) )
     != unit ) ),
    inference(eqfactor_ordered,[status(thm)],[244]) ).

thf(264,plain,
    ( ( c != b )
    | ( c != b )
    | ( ( c @ ( b @ mult ) )
     != unit ) ),
    inference(simp,[status(thm)],[255]) ).

thf(269,plain,
    ( ( c != b )
    | ( ( c @ ( b @ mult ) )
     != unit ) ),
    inference(simp,[status(thm)],[264]) ).

thf(4,axiom,
    ! [B: $i,A: $i] :
      ( ( B @ ( B @ ( A @ rd ) @ mult ) )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).

thf(20,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( B @ ( A @ rd ) @ mult ) )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(21,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( B @ ( A @ rd ) @ mult ) )
      = A ),
    inference(lifteq,[status(thm)],[20]) ).

thf(602,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( B @ ( B @ ( A @ rd ) @ mult ) )
       != ( unit @ ( C @ mult ) ) )
      | ( A = C ) ),
    inference(paramod_ordered,[status(thm)],[21,25]) ).

thf(603,plain,
    ! [A: $i] :
      ( ( unit @ ( A @ rd ) )
      = A ),
    inference(pattern_uni,[status(thm)],[602:[bind(A,$thf( D )),bind(B,$thf( unit )),bind(C,$thf( unit @ ( D @ rd ) ))]]) ).

thf(670,plain,
    ! [A: $i] :
      ( ( unit @ ( A @ rd ) )
      = A ),
    inference(simp,[status(thm)],[603]) ).

thf(3,axiom,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ mult ) @ ( A @ ld ) )
      = B ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).

thf(18,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ mult ) @ ( A @ ld ) )
      = B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(19,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ mult ) @ ( A @ ld ) )
      = B ),
    inference(lifteq,[status(thm)],[18]) ).

thf(594,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( B @ ( B @ ( A @ rd ) @ mult ) )
       != ( D @ ( C @ mult ) ) )
      | ( ( A @ ( C @ ld ) )
        = D ) ),
    inference(paramod_ordered,[status(thm)],[21,19]) ).

thf(595,plain,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ ( A @ rd ) @ ld ) )
      = B ),
    inference(pattern_uni,[status(thm)],[594:[bind(A,$thf( E )),bind(B,$thf( F )),bind(C,$thf( F @ ( E @ rd ) )),bind(D,$thf( F ))]]) ).

thf(669,plain,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ ( A @ rd ) @ ld ) )
      = B ),
    inference(simp,[status(thm)],[595]) ).

thf(12,axiom,
    ! [A: $i] :
      ( ( A @ i @ ( A @ mult ) )
      = unit ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c11) ).

thf(36,plain,
    ! [A: $i] :
      ( ( A @ i @ ( A @ mult ) )
      = unit ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(37,plain,
    ! [A: $i] :
      ( ( A @ i @ ( A @ mult ) )
      = unit ),
    inference(lifteq,[status(thm)],[36]) ).

thf(8,axiom,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ mult ) @ i @ ( A @ mult ) )
      = ( B @ i ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).

thf(28,plain,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ mult ) @ i @ ( A @ mult ) )
      = ( B @ i ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(29,plain,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ mult ) @ i @ ( A @ mult ) )
      = ( B @ i ) ),
    inference(lifteq,[status(thm)],[28]) ).

thf(835,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ i @ ( A @ mult ) )
       != ( B @ ( C @ mult ) ) )
      | ( ( unit @ i @ ( B @ mult ) )
        = ( C @ i ) ) ),
    inference(paramod_ordered,[status(thm)],[37,29]) ).

thf(836,plain,
    ! [A: $i] :
      ( ( unit @ i @ ( A @ i @ mult ) )
      = ( A @ i ) ),
    inference(pattern_uni,[status(thm)],[835:[bind(A,$thf( D )),bind(B,$thf( D @ i )),bind(C,$thf( D ))]]) ).

thf(902,plain,
    ! [A: $i] :
      ( ( unit @ i @ ( A @ i @ mult ) )
      = ( A @ i ) ),
    inference(simp,[status(thm)],[836]) ).

thf(11,axiom,
    ! [A: $i] :
      ( ( A @ ( A @ i @ mult ) )
      = unit ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c10) ).

thf(34,plain,
    ! [A: $i] :
      ( ( A @ ( A @ i @ mult ) )
      = unit ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(35,plain,
    ! [A: $i] :
      ( ( A @ ( A @ i @ mult ) )
      = unit ),
    inference(lifteq,[status(thm)],[34]) ).

thf(42,plain,
    ! [B: $i,A: $i] :
      ( ( ( A @ ( A @ i @ mult ) )
       != ( unit @ ( B @ mult ) ) )
      | ( unit = B ) ),
    inference(paramod_ordered,[status(thm)],[35,25]) ).

thf(43,plain,
    ( ( unit @ i )
    = unit ),
    inference(pattern_uni,[status(thm)],[42:[bind(A,$thf( unit )),bind(B,$thf( unit @ i ))]]) ).

thf(1122,plain,
    ! [A: $i] :
      ( ( unit @ ( A @ i @ mult ) )
      = ( A @ i ) ),
    inference(rewrite,[status(thm)],[902,43]) ).

thf(492,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ ( A @ i @ mult ) )
       != ( C @ ( B @ mult ) ) )
      | ( ( unit @ ( B @ ld ) )
        = C ) ),
    inference(paramod_ordered,[status(thm)],[35,19]) ).

thf(493,plain,
    ! [A: $i] :
      ( ( unit @ ( A @ i @ ld ) )
      = A ),
    inference(pattern_uni,[status(thm)],[492:[bind(A,$thf( D )),bind(B,$thf( D @ i )),bind(C,$thf( D ))]]) ).

thf(504,plain,
    ! [A: $i] :
      ( ( unit @ ( A @ i @ ld ) )
      = A ),
    inference(simp,[status(thm)],[493]) ).

thf(494,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ i @ ( A @ mult ) )
       != ( C @ ( B @ mult ) ) )
      | ( ( unit @ ( B @ ld ) )
        = C ) ),
    inference(paramod_ordered,[status(thm)],[37,19]) ).

thf(495,plain,
    ! [A: $i] :
      ( ( unit @ ( A @ ld ) )
      = ( A @ i ) ),
    inference(pattern_uni,[status(thm)],[494:[bind(A,$thf( D )),bind(B,$thf( D )),bind(C,$thf( D @ i ))]]) ).

thf(505,plain,
    ! [A: $i] :
      ( ( unit @ ( A @ ld ) )
      = ( A @ i ) ),
    inference(simp,[status(thm)],[495]) ).

thf(543,plain,
    ! [A: $i] :
      ( ( A @ i @ i )
      = A ),
    inference(rewrite,[status(thm)],[504,505]) ).

thf(251,plain,
    ! [A: $i] :
      ( ( ( A @ ( A @ i @ mult ) )
       != ( c @ ( b @ mult ) ) )
      | ( ( b @ ( c @ mult ) )
       != unit )
      | ( unit != unit ) ),
    inference(paramod_ordered,[status(thm)],[35,244]) ).

thf(252,plain,
    ! [A: $i] :
      ( ( ( A @ ( A @ i @ mult ) )
       != ( c @ ( b @ mult ) ) )
      | ( ( b @ ( c @ mult ) )
       != unit ) ),
    inference(simp,[status(thm)],[251]) ).

thf(262,plain,
    ! [A: $i] :
      ( ( A != c )
      | ( ( A @ i )
       != b )
      | ( ( b @ ( c @ mult ) )
       != unit ) ),
    inference(simp,[status(thm)],[252]) ).

thf(268,plain,
    ( ( ( c @ i )
     != b )
    | ( ( b @ ( c @ mult ) )
     != unit ) ),
    inference(simp,[status(thm)],[262]) ).

thf(755,plain,
    ! [A: $i] :
      ( ( ( A @ i @ ( A @ mult ) )
       != ( b @ ( c @ mult ) ) )
      | ( ( c @ i )
       != b )
      | ( unit != unit ) ),
    inference(paramod_ordered,[status(thm)],[37,268]) ).

thf(756,plain,
    ! [A: $i] :
      ( ( ( A @ i @ ( A @ mult ) )
       != ( b @ ( c @ mult ) ) )
      | ( ( c @ i )
       != b ) ),
    inference(simp,[status(thm)],[755]) ).

thf(764,plain,
    ! [A: $i] :
      ( ( ( A @ i )
       != b )
      | ( A != c )
      | ( ( c @ i )
       != b ) ),
    inference(simp,[status(thm)],[756]) ).

thf(778,plain,
    ( ( c @ i )
   != b ),
    inference(simp,[status(thm)],[764]) ).

thf(796,plain,
    ! [A: $i] :
      ( ( ( A @ i @ i )
       != ( c @ i ) )
      | ( A != b ) ),
    inference(paramod_ordered,[status(thm)],[543,778]) ).

thf(799,plain,
    ( ( b @ i )
   != c ),
    inference(simp,[status(thm)],[796]) ).

thf(5,axiom,
    ! [B: $i,A: $i] :
      ( ( B @ ( B @ ( A @ mult ) @ rd ) )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).

thf(22,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( B @ ( A @ mult ) @ rd ) )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(23,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( B @ ( A @ mult ) @ rd ) )
      = A ),
    inference(lifteq,[status(thm)],[22]) ).

thf(721,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ ( A @ i @ mult ) )
       != ( C @ ( B @ mult ) ) )
      | ( ( C @ ( unit @ rd ) )
        = B ) ),
    inference(paramod_ordered,[status(thm)],[35,23]) ).

thf(722,plain,
    ! [A: $i] :
      ( ( A @ ( unit @ rd ) )
      = ( A @ i ) ),
    inference(pattern_uni,[status(thm)],[721:[bind(A,$thf( D )),bind(B,$thf( D @ i )),bind(C,$thf( D ))]]) ).

thf(724,plain,
    ! [A: $i] :
      ( ( A @ ( unit @ rd ) )
      = ( A @ i ) ),
    inference(simp,[status(thm)],[722]) ).

thf(10,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( B @ ( A @ mult ) @ mult ) )
      = ( C @ ( B @ mult ) @ ( C @ ld ) @ ( C @ ( A @ mult ) @ mult ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c09) ).

thf(32,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( B @ ( A @ mult ) @ mult ) )
      = ( C @ ( B @ mult ) @ ( C @ ld ) @ ( C @ ( A @ mult ) @ mult ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(33,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( B @ ( A @ mult ) @ mult ) )
      = ( C @ ( B @ mult ) @ ( C @ ld ) @ ( C @ ( A @ mult ) @ mult ) ) ),
    inference(lifteq,[status(thm)],[32]) ).

thf(2,axiom,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ ld ) @ ( A @ mult ) )
      = B ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).

thf(16,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ ld ) @ ( A @ mult ) )
      = B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(17,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ ld ) @ ( A @ mult ) )
      = B ),
    inference(lifteq,[status(thm)],[16]) ).

thf(7,axiom,
    ! [A: $i] :
      ( ( A @ ( unit @ mult ) )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).

thf(26,plain,
    ! [A: $i] :
      ( ( A @ ( unit @ mult ) )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(27,plain,
    ! [A: $i] :
      ( ( A @ ( unit @ mult ) )
      = A ),
    inference(lifteq,[status(thm)],[26]) ).

thf(278,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( B @ ( A @ ld ) @ ( A @ mult ) )
       != ( C @ ( unit @ mult ) ) )
      | ( B = C ) ),
    inference(paramod_ordered,[status(thm)],[17,27]) ).

thf(279,plain,
    ! [A: $i] :
      ( ( A @ ( unit @ ld ) )
      = A ),
    inference(pattern_uni,[status(thm)],[278:[bind(A,$thf( unit )),bind(B,$thf( E )),bind(C,$thf( E @ ( unit @ ld ) ))]]) ).

thf(343,plain,
    ! [A: $i] :
      ( ( A @ ( unit @ ld ) )
      = A ),
    inference(simp,[status(thm)],[279]) ).

thf(9,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( B @ mult ) @ ( A @ mult ) )
      = ( C @ ( A @ mult ) @ ( A @ ( B @ ( A @ mult ) @ rd ) @ mult ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c08) ).

thf(30,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( B @ mult ) @ ( A @ mult ) )
      = ( C @ ( A @ mult ) @ ( A @ ( B @ ( A @ mult ) @ rd ) @ mult ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(31,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( A @ mult ) @ ( A @ ( B @ ( A @ mult ) @ rd ) @ mult ) )
      = ( C @ ( B @ mult ) @ ( A @ mult ) ) ),
    inference(lifteq,[status(thm)],[30]) ).

thf(496,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( unit @ ( A @ mult ) )
       != ( C @ ( B @ mult ) ) )
      | ( ( A @ ( B @ ld ) )
        = C ) ),
    inference(paramod_ordered,[status(thm)],[25,19]) ).

thf(497,plain,
    ! [A: $i] :
      ( ( A @ ( A @ ld ) )
      = unit ),
    inference(pattern_uni,[status(thm)],[496:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( unit ))]]) ).

thf(715,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ ( unit @ mult ) )
       != ( C @ ( B @ mult ) ) )
      | ( ( C @ ( A @ rd ) )
        = B ) ),
    inference(paramod_ordered,[status(thm)],[27,23]) ).

thf(716,plain,
    ! [A: $i] :
      ( ( A @ ( A @ rd ) )
      = unit ),
    inference(pattern_uni,[status(thm)],[715:[bind(A,$thf( A )),bind(B,$thf( unit )),bind(C,$thf( A ))]]) ).

thf(797,plain,
    ( ( ( unit @ i )
     != ( c @ i ) )
    | ( unit != b ) ),
    inference(paramod_ordered,[status(thm)],[43,778]) ).

thf(800,plain,
    ( ( unit != c )
    | ( unit != b ) ),
    inference(simp,[status(thm)],[797]) ).

thf(17304,plain,
    $false,
    inference(e,[status(thm)],[269,670,669,13,54,1122,799,18,15,543,24,37,25,724,184,20,29,778,28,21,33,343,244,17,32,34,22,27,505,35,16,31,497,43,26,23,716,800,36,30,19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP697-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.16/0.41  % Computer : n009.cluster.edu
% 0.16/0.41  % Model    : x86_64 x86_64
% 0.16/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41  % Memory   : 8046.5625MB
% 0.16/0.41  % OS       : Linux 6.8.0-71-generic
% 0.16/0.41  % CPULimit : 300
% 0.16/0.41  % WCLimit  : 300
% 0.16/0.41  % DateTime : Fri Sep 25 15:37:43 UTC 2026
% 0.16/0.41  % CPUTime  : 
% 0.16/0.41  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.89/1.00  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.29/1.18  % [INFO] 	 Parsing done (181ms). 
% 1.29/1.20  % [INFO] 	 Running in sequential loop mode. 
% 1.84/1.59  % [INFO] 	 eprover registered as external prover. 
% 2.04/1.60  % [INFO] 	 Scanning for conjecture ... 
% 2.04/1.69  % [INFO] 	 Found a conjecture (or negated_conjecture) and 11 axioms. Running axiom selection ... 
% 2.24/1.72  % [INFO] 	 Axiom selection finished. Selected 11 axioms (removed 0 axioms). 
% 2.24/1.74  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.24/1.75  % [INFO] 	 Type checking passed. 
% 2.24/1.75  % [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 ... 
% 47.85/10.31  % External prover 'e' found a proof!
% 47.85/10.31  % [INFO] 	 Killing All external provers ... 
% 47.85/10.32  % Time passed: 9763ms (effective reasoning time: 9113ms)
% 47.85/10.32  % Axioms used in derivation (11): c05, c11, c08, c01, c03, c06, c02, c07, c10, c09, c04
% 47.85/10.32  % No. of inferences in proof: 89
% 47.85/10.32  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 9763 ms resp. 9113 ms w/o parsing
% 47.85/10.36  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 47.85/10.36  % [INFO] 	 Killing All external provers ... 
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