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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : HWV001-1 : TPTP v9.3.1. Released v1.1.0.
% 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 : n014.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 07:32:07 AM UTC 2026

% Result   : Unsatisfiable 6.99s 8.87s
% Output   : Refutation 7.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   47
% Syntax   : Number of formulae    :   95 (  95 unt;   0 typ;   0 def)
%            Number of atoms       :   95 (  90 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :  358 (   2   ~;   0   |;   0   &; 356   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   27 (  25 usr;  20 con; 0-2 aty)
%            Number of variables   :  104 (   0   ^; 104   !;   0   ?; 104   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a1_decl,type,
    a1: $i ).

thf(and_decl,type,
    and: $i > $i > $i ).

thf(b1_decl,type,
    b1: $i ).

thf(b3_decl,type,
    b3: $i ).

thf(a2_decl,type,
    a2: $i ).

thf(b2_decl,type,
    b2: $i ).

thf(not_decl,type,
    not: $i > $i ).

thf(d1_decl,type,
    d1: $i ).

thf(d2_decl,type,
    d2: $i ).

thf(or_decl,type,
    or: $i > $i > $i ).

thf(c1_decl,type,
    c1: $i ).

thf(c2_decl,type,
    c2: $i ).

thf(d3_decl,type,
    d3: $i ).

thf(f3_decl,type,
    f3: $i ).

thf(e1_decl,type,
    e1: $i ).

thf(e2_decl,type,
    e2: $i ).

thf(f1_decl,type,
    f1: $i ).

thf(f2_decl,type,
    f2: $i ).

thf(i1_decl,type,
    i1: $i ).

thf(i2_decl,type,
    i2: $i ).

thf(circuit_decl,type,
    circuit: $i > $i > $o ).

thf(input_decl,type,
    input: $i > $i > $i ).

thf(output_decl,type,
    output: $i > $i > $i ).

thf(n1_decl,type,
    n1: $i ).

thf(n0_decl,type,
    n0: $i ).

thf(28,axiom,
    ( ( n0 @ not )
    = n1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_definition1) ).

thf(101,plain,
    ( ( n0 @ not )
    = n1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(35,axiom,
    ! [B: $i,A: $i] :
      ( ( B @ ( B @ ( A @ and ) @ and ) )
      = ( B @ ( A @ and ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_simplification2) ).

thf(115,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( B @ ( A @ and ) @ and ) )
      = ( B @ ( A @ and ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(17,negated_conjecture,
    ~ ( i1 @ ( i2 @ output ) @ ( i2 @ ( i1 @ input ) @ circuit ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_interchange) ).

thf(56,plain,
    ~ ( i1 @ ( i2 @ output ) @ ( i2 @ ( i1 @ input ) @ circuit ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(38,axiom,
    ! [A: $i] :
      ( ( n0 @ ( A @ or ) )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_definition1) ).

thf(121,plain,
    ! [A: $i] :
      ( ( n0 @ ( A @ or ) )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(46,axiom,
    ! [A: $i] :
      ( ( A @ not @ ( A @ or ) )
      = n1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_not_simplification1) ).

thf(137,plain,
    ! [A: $i] :
      ( ( A @ not @ ( A @ or ) )
      = n1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

thf(26,axiom,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ or ) @ not )
      = ( B @ not @ ( A @ not @ and ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_canonicalization2) ).

thf(97,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ or ) @ not )
      = ( B @ not @ ( A @ not @ and ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(9,negated_conjecture,
    ( d1
    = ( e1 @ not ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor9) ).

thf(53,plain,
    ( d1
    = ( e1 @ not ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(32,axiom,
    ! [B: $i,A: $i] :
      ( ( B @ not @ ( B @ ( A @ and ) @ and ) )
      = n0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_not_simplification2) ).

thf(109,plain,
    ! [B: $i,A: $i] :
      ( ( B @ not @ ( B @ ( A @ and ) @ and ) )
      = n0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(42,axiom,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ ( A @ and ) @ and ) )
      = ( B @ ( A @ and ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_simplification3) ).

thf(129,plain,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ ( A @ and ) @ and ) )
      = ( B @ ( A @ and ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(30,axiom,
    ! [B: $i,A: $i] :
      ( ( B @ ( B @ ( A @ or ) @ or ) )
      = ( B @ ( A @ or ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_simplification2) ).

thf(105,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( B @ ( A @ or ) @ or ) )
      = ( B @ ( A @ or ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(15,negated_conjecture,
    ( f3
    = ( i2 @ ( i1 @ and ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor15) ).

thf(64,plain,
    ( f3
    = ( i2 @ ( i1 @ and ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(3,negated_conjecture,
    ( b1
    = ( d1 @ not ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor3) ).

thf(59,plain,
    ( b1
    = ( d1 @ not ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(45,axiom,
    ( ( n1 @ not )
    = n0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_definition2) ).

thf(135,plain,
    ( ( n1 @ not )
    = n0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(39,axiom,
    ! [B: $i,A: $i] :
      ( ( A @ not @ ( B @ ( A @ and ) @ and ) )
      = n0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_not_simplification3) ).

thf(123,plain,
    ! [B: $i,A: $i] :
      ( ( A @ not @ ( B @ ( A @ and ) @ and ) )
      = n0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(1,negated_conjecture,
    ( a1
    = ( b3 @ ( b1 @ and ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor1) ).

thf(51,plain,
    ( a1
    = ( b3 @ ( b1 @ and ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(31,axiom,
    ! [B: $i,A: $i] :
      ( ( A @ not @ ( B @ ( A @ or ) @ or ) )
      = n1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_not_simplification3) ).

thf(107,plain,
    ! [B: $i,A: $i] :
      ( ( A @ not @ ( B @ ( A @ or ) @ or ) )
      = n1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(6,negated_conjecture,
    ( c1
    = ( d3 @ ( d1 @ or ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor6) ).

thf(52,plain,
    ( c1
    = ( d3 @ ( d1 @ or ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(40,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( B @ or ) @ ( A @ or ) )
      = ( C @ ( B @ ( A @ or ) @ or ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_associativity) ).

thf(125,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( B @ or ) @ ( A @ or ) )
      = ( C @ ( B @ ( A @ or ) @ or ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(24,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( B @ ( A @ or ) @ or ) )
      = ( B @ ( C @ ( A @ or ) @ or ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_sorting) ).

thf(93,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( B @ ( A @ or ) @ or ) )
      = ( B @ ( C @ ( A @ or ) @ or ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(12,negated_conjecture,
    ( e2
    = ( f3 @ ( f2 @ or ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor12) ).

thf(57,plain,
    ( e2
    = ( f3 @ ( f2 @ or ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(11,negated_conjecture,
    ( e1
    = ( f3 @ ( f1 @ or ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor11) ).

thf(61,plain,
    ( e1
    = ( f3 @ ( f1 @ or ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(22,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( B @ ( A @ or ) @ and ) )
      = ( C @ ( B @ and ) @ ( C @ ( A @ and ) @ or ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_or_canonicalization) ).

thf(89,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( B @ ( A @ or ) @ and ) )
      = ( C @ ( B @ and ) @ ( C @ ( A @ and ) @ or ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(44,axiom,
    ! [A: $i] :
      ( ( A @ not @ not )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_simplification) ).

thf(133,plain,
    ! [A: $i] :
      ( ( A @ not @ not )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(20,axiom,
    ! [A: $i] :
      ( ( A @ ( A @ or ) )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_simplification1) ).

thf(85,plain,
    ! [A: $i] :
      ( ( A @ ( A @ or ) )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(16,negated_conjecture,
    a2 @ ( a1 @ output ) @ ( i2 @ ( i1 @ input ) @ circuit ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',circuit_description) ).

thf(60,plain,
    a2 @ ( a1 @ output ) @ ( i2 @ ( i1 @ input ) @ circuit ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(36,axiom,
    ! [A: $i] :
      ( ( n1 @ ( A @ or ) )
      = n1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_definition2) ).

thf(117,plain,
    ! [A: $i] :
      ( ( n1 @ ( A @ or ) )
      = n1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(13,negated_conjecture,
    ( f1
    = ( i1 @ not ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor13) ).

thf(54,plain,
    ( f1
    = ( i1 @ not ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(10,negated_conjecture,
    ( d2
    = ( e2 @ not ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor10) ).

thf(49,plain,
    ( d2
    = ( e2 @ not ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(34,axiom,
    ! [B: $i,A: $i] :
      ( ( B @ not @ ( B @ ( A @ or ) @ or ) )
      = n1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_not_simplification2) ).

thf(113,plain,
    ! [B: $i,A: $i] :
      ( ( B @ not @ ( B @ ( A @ or ) @ or ) )
      = n1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(18,axiom,
    ! [A: $i] :
      ( ( n1 @ ( A @ and ) )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_definition2) ).

thf(81,plain,
    ! [A: $i] :
      ( ( n1 @ ( A @ and ) )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(29,axiom,
    ! [A: $i] :
      ( ( n0 @ ( A @ and ) )
      = n0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_definition1) ).

thf(103,plain,
    ! [A: $i] :
      ( ( n0 @ ( A @ and ) )
      = n0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(23,axiom,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ ( A @ or ) @ or ) )
      = ( B @ ( A @ or ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_simplification3) ).

thf(91,plain,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ ( A @ or ) @ or ) )
      = ( B @ ( A @ or ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(5,negated_conjecture,
    ( b3
    = ( c2 @ ( c1 @ or ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor5) ).

thf(48,plain,
    ( b3
    = ( c2 @ ( c1 @ or ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(4,negated_conjecture,
    ( b2
    = ( d2 @ not ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor4) ).

thf(63,plain,
    ( b2
    = ( d2 @ not ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(25,axiom,
    ! [B: $i,A: $i] :
      ( ( A @ not @ ( B @ and ) @ ( B @ ( A @ and ) @ or ) )
      = B ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_or_not_simplification2) ).

thf(95,plain,
    ! [B: $i,A: $i] :
      ( ( A @ not @ ( B @ and ) @ ( B @ ( A @ and ) @ or ) )
      = B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(14,negated_conjecture,
    ( f2
    = ( i2 @ not ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor14) ).

thf(50,plain,
    ( f2
    = ( i2 @ not ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(41,axiom,
    ! [A: $i] :
      ( ( A @ ( A @ and ) )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_simplification1) ).

thf(127,plain,
    ! [A: $i] :
      ( ( A @ ( A @ and ) )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(27,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( B @ and ) @ ( A @ and ) )
      = ( C @ ( B @ ( A @ and ) @ and ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_associativity) ).

thf(99,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( B @ and ) @ ( A @ and ) )
      = ( C @ ( B @ ( A @ and ) @ and ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(21,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( B @ ( A @ and ) @ and ) )
      = ( B @ ( C @ ( A @ and ) @ and ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_sorting) ).

thf(87,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( B @ ( A @ and ) @ and ) )
      = ( B @ ( C @ ( A @ and ) @ and ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(2,negated_conjecture,
    ( a2
    = ( b3 @ ( b2 @ and ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor2) ).

thf(55,plain,
    ( a2
    = ( b3 @ ( b2 @ and ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(47,axiom,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ and ) )
      = ( A @ ( B @ and ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_commutativity) ).

thf(139,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ and ) )
      = ( A @ ( B @ and ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(37,axiom,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ or ) )
      = ( A @ ( B @ or ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_commutativity) ).

thf(119,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ or ) )
      = ( A @ ( B @ or ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(7,negated_conjecture,
    ( c2
    = ( d3 @ ( d2 @ or ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor7) ).

thf(58,plain,
    ( c2
    = ( d3 @ ( d2 @ or ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(43,axiom,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ and ) @ not )
      = ( B @ not @ ( A @ not @ or ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_canonicalization1) ).

thf(131,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ and ) @ not )
      = ( B @ not @ ( A @ not @ or ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(8,negated_conjecture,
    d3 = f3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor8) ).

thf(62,plain,
    d3 = f3,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(33,axiom,
    ! [B: $i,A: $i] :
      ( ( B @ not @ ( A @ and ) @ ( B @ ( A @ and ) @ or ) )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_or_not_simplification1) ).

thf(111,plain,
    ! [B: $i,A: $i] :
      ( ( B @ not @ ( A @ and ) @ ( B @ ( A @ and ) @ or ) )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(19,axiom,
    ! [A: $i] :
      ( ( A @ not @ ( A @ and ) )
      = n0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_not_simplification1) ).

thf(83,plain,
    ! [A: $i] :
      ( ( A @ not @ ( A @ and ) )
      = n0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(201,plain,
    $false,
    inference(e,[status(thm)],[101,115,56,121,137,97,53,109,129,105,64,59,135,123,51,107,52,125,93,57,61,89,133,85,60,117,54,49,113,81,103,91,48,63,95,50,127,99,87,55,139,119,58,131,62,111,83]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : HWV001-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.07  % 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
% 0.16/5.43  % Computer : n014.cluster.edu
% 0.16/5.43  % Model    : x86_64 x86_64
% 0.16/5.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.43  % Memory   : 8046.5625MB
% 0.16/5.43  % OS       : Linux 6.8.0-71-generic
% 0.16/5.43  % CPULimit : 300
% 0.16/5.43  % WCLimit  : 300
% 0.16/5.43  % DateTime : Fri Sep 25 15:59:09 UTC 2026
% 0.16/5.43  % CPUTime  : 
% 0.16/5.43  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
% 1.31/6.26  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.86/6.56  % [INFO] 	 Parsing done (299ms). 
% 1.86/6.58  % [INFO] 	 Running in sequential loop mode. 
% 3.12/7.19  % [INFO] 	 eprover registered as external prover. 
% 3.21/7.20  % [INFO] 	 Scanning for conjecture ... 
% 3.41/7.36  % [INFO] 	 Found a conjecture (or negated_conjecture) and 30 axioms. Running axiom selection ... 
% 3.56/7.48  % [INFO] 	 Axiom selection finished. Selected 30 axioms (removed 0 axioms). 
% 3.77/7.53  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 3.77/7.55  % [INFO] 	 Type checking passed. 
% 3.77/7.55  % [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 ... 
% 6.99/8.86  % External prover 'e' found a proof!
% 6.99/8.86  % [INFO] 	 Killing All external provers ... 
% 6.99/8.86  % Time passed: 3225ms (effective reasoning time: 2272ms)
% 6.99/8.87  % Axioms used in derivation (30): or_associativity, not_canonicalization1, or_simplification3, and_simplification3, and_definition1, and_not_simplification2, or_definition1, and_or_not_simplification2, and_or_canonicalization, or_commutativity, or_simplification1, or_sorting, and_commutativity, not_simplification, and_simplification2, or_not_simplification1, or_simplification2, and_definition2, and_not_simplification3, or_definition2, or_not_simplification2, and_simplification1, and_sorting, not_definition1, not_canonicalization2, or_not_simplification3, and_associativity, not_definition2, and_not_simplification1, and_or_not_simplification1
% 6.99/8.87  % No. of inferences in proof: 95
% 6.99/8.87  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3225 ms resp. 2272 ms w/o parsing
% 7.60/8.97  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.60/8.97  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------