TSTP Solution File: ALG078+1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : ALG078+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n017.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 : Wed Aug 30 16:27:44 EDT 2023

% Result   : Theorem 0.20s 0.56s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof('co1_$sk',plain,
    ( j(h(e14)) = e14
    & j(h(e13)) = e13
    & j(h(e12)) = e12
    & j(h(e11)) = e11
    & j(h(e10)) = e10
    & h(j(e24)) = e24
    & h(j(e23)) = e23
    & h(j(e22)) = e22
    & h(j(e21)) = e21
    & h(j(e20)) = e20
    & j(op2(e24,e24)) = op1(j(e24),j(e24))
    & j(op2(e24,e23)) = op1(j(e24),j(e23))
    & j(op2(e24,e22)) = op1(j(e24),j(e22))
    & j(op2(e24,e21)) = op1(j(e24),j(e21))
    & j(op2(e24,e20)) = op1(j(e24),j(e20))
    & j(op2(e23,e24)) = op1(j(e23),j(e24))
    & j(op2(e23,e23)) = op1(j(e23),j(e23))
    & j(op2(e23,e22)) = op1(j(e23),j(e22))
    & j(op2(e23,e21)) = op1(j(e23),j(e21))
    & j(op2(e23,e20)) = op1(j(e23),j(e20))
    & j(op2(e22,e24)) = op1(j(e22),j(e24))
    & j(op2(e22,e23)) = op1(j(e22),j(e23))
    & j(op2(e22,e22)) = op1(j(e22),j(e22))
    & j(op2(e22,e21)) = op1(j(e22),j(e21))
    & j(op2(e22,e20)) = op1(j(e22),j(e20))
    & j(op2(e21,e24)) = op1(j(e21),j(e24))
    & j(op2(e21,e23)) = op1(j(e21),j(e23))
    & j(op2(e21,e22)) = op1(j(e21),j(e22))
    & j(op2(e21,e21)) = op1(j(e21),j(e21))
    & j(op2(e21,e20)) = op1(j(e21),j(e20))
    & j(op2(e20,e24)) = op1(j(e20),j(e24))
    & j(op2(e20,e23)) = op1(j(e20),j(e23))
    & j(op2(e20,e22)) = op1(j(e20),j(e22))
    & j(op2(e20,e21)) = op1(j(e20),j(e21))
    & j(op2(e20,e20)) = op1(j(e20),j(e20))
    & h(op1(e14,e14)) = op2(h(e14),h(e14))
    & h(op1(e14,e13)) = op2(h(e14),h(e13))
    & h(op1(e14,e12)) = op2(h(e14),h(e12))
    & h(op1(e14,e11)) = op2(h(e14),h(e11))
    & h(op1(e14,e10)) = op2(h(e14),h(e10))
    & h(op1(e13,e14)) = op2(h(e13),h(e14))
    & h(op1(e13,e13)) = op2(h(e13),h(e13))
    & h(op1(e13,e12)) = op2(h(e13),h(e12))
    & h(op1(e13,e11)) = op2(h(e13),h(e11))
    & h(op1(e13,e10)) = op2(h(e13),h(e10))
    & h(op1(e12,e14)) = op2(h(e12),h(e14))
    & h(op1(e12,e13)) = op2(h(e12),h(e13))
    & h(op1(e12,e12)) = op2(h(e12),h(e12))
    & h(op1(e12,e11)) = op2(h(e12),h(e11))
    & h(op1(e12,e10)) = op2(h(e12),h(e10))
    & h(op1(e11,e14)) = op2(h(e11),h(e14))
    & h(op1(e11,e13)) = op2(h(e11),h(e13))
    & h(op1(e11,e12)) = op2(h(e11),h(e12))
    & h(op1(e11,e11)) = op2(h(e11),h(e11))
    & h(op1(e11,e10)) = op2(h(e11),h(e10))
    & h(op1(e10,e14)) = op2(h(e10),h(e14))
    & h(op1(e10,e13)) = op2(h(e10),h(e13))
    & h(op1(e10,e12)) = op2(h(e10),h(e12))
    & h(op1(e10,e11)) = op2(h(e10),h(e11))
    & h(op1(e10,e10)) = op2(h(e10),h(e10))
    & ( j(e24) = e14
      | j(e24) = e13
      | j(e24) = e12
      | j(e24) = e11
      | j(e24) = e10 )
    & ( j(e23) = e14
      | j(e23) = e13
      | j(e23) = e12
      | j(e23) = e11
      | j(e23) = e10 )
    & ( j(e22) = e14
      | j(e22) = e13
      | j(e22) = e12
      | j(e22) = e11
      | j(e22) = e10 )
    & ( j(e21) = e14
      | j(e21) = e13
      | j(e21) = e12
      | j(e21) = e11
      | j(e21) = e10 )
    & ( j(e20) = e14
      | j(e20) = e13
      | j(e20) = e12
      | j(e20) = e11
      | j(e20) = e10 )
    & ( h(e14) = e24
      | h(e14) = e23
      | h(e14) = e22
      | h(e14) = e21
      | h(e14) = e20 )
    & ( h(e13) = e24
      | h(e13) = e23
      | h(e13) = e22
      | h(e13) = e21
      | h(e13) = e20 )
    & ( h(e12) = e24
      | h(e12) = e23
      | h(e12) = e22
      | h(e12) = e21
      | h(e12) = e20 )
    & ( h(e11) = e24
      | h(e11) = e23
      | h(e11) = e22
      | h(e11) = e21
      | h(e11) = e20 )
    & ( h(e10) = e24
      | h(e10) = e23
      | h(e10) = e22
      | h(e10) = e21
      | h(e10) = e20 ) ),
    inference(negpush_and_skolemize,[],[co1]) ).

fof(co1,conjecture,
    ( ( ( h(e10) = e20
        | h(e10) = e21
        | h(e10) = e22
        | h(e10) = e23
        | h(e10) = e24 )
      & ( h(e11) = e20
        | h(e11) = e21
        | h(e11) = e22
        | h(e11) = e23
        | h(e11) = e24 )
      & ( h(e12) = e20
        | h(e12) = e21
        | h(e12) = e22
        | h(e12) = e23
        | h(e12) = e24 )
      & ( h(e13) = e20
        | h(e13) = e21
        | h(e13) = e22
        | h(e13) = e23
        | h(e13) = e24 )
      & ( h(e14) = e20
        | h(e14) = e21
        | h(e14) = e22
        | h(e14) = e23
        | h(e14) = e24 )
      & ( j(e20) = e10
        | j(e20) = e11
        | j(e20) = e12
        | j(e20) = e13
        | j(e20) = e14 )
      & ( j(e21) = e10
        | j(e21) = e11
        | j(e21) = e12
        | j(e21) = e13
        | j(e21) = e14 )
      & ( j(e22) = e10
        | j(e22) = e11
        | j(e22) = e12
        | j(e22) = e13
        | j(e22) = e14 )
      & ( j(e23) = e10
        | j(e23) = e11
        | j(e23) = e12
        | j(e23) = e13
        | j(e23) = e14 )
      & ( j(e24) = e10
        | j(e24) = e11
        | j(e24) = e12
        | j(e24) = e13
        | j(e24) = e14 ) )
   => ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
        & h(op1(e10,e11)) = op2(h(e10),h(e11))
        & h(op1(e10,e12)) = op2(h(e10),h(e12))
        & h(op1(e10,e13)) = op2(h(e10),h(e13))
        & h(op1(e10,e14)) = op2(h(e10),h(e14))
        & h(op1(e11,e10)) = op2(h(e11),h(e10))
        & h(op1(e11,e11)) = op2(h(e11),h(e11))
        & h(op1(e11,e12)) = op2(h(e11),h(e12))
        & h(op1(e11,e13)) = op2(h(e11),h(e13))
        & h(op1(e11,e14)) = op2(h(e11),h(e14))
        & h(op1(e12,e10)) = op2(h(e12),h(e10))
        & h(op1(e12,e11)) = op2(h(e12),h(e11))
        & h(op1(e12,e12)) = op2(h(e12),h(e12))
        & h(op1(e12,e13)) = op2(h(e12),h(e13))
        & h(op1(e12,e14)) = op2(h(e12),h(e14))
        & h(op1(e13,e10)) = op2(h(e13),h(e10))
        & h(op1(e13,e11)) = op2(h(e13),h(e11))
        & h(op1(e13,e12)) = op2(h(e13),h(e12))
        & h(op1(e13,e13)) = op2(h(e13),h(e13))
        & h(op1(e13,e14)) = op2(h(e13),h(e14))
        & h(op1(e14,e10)) = op2(h(e14),h(e10))
        & h(op1(e14,e11)) = op2(h(e14),h(e11))
        & h(op1(e14,e12)) = op2(h(e14),h(e12))
        & h(op1(e14,e13)) = op2(h(e14),h(e13))
        & h(op1(e14,e14)) = op2(h(e14),h(e14))
        & j(op2(e20,e20)) = op1(j(e20),j(e20))
        & j(op2(e20,e21)) = op1(j(e20),j(e21))
        & j(op2(e20,e22)) = op1(j(e20),j(e22))
        & j(op2(e20,e23)) = op1(j(e20),j(e23))
        & j(op2(e20,e24)) = op1(j(e20),j(e24))
        & j(op2(e21,e20)) = op1(j(e21),j(e20))
        & j(op2(e21,e21)) = op1(j(e21),j(e21))
        & j(op2(e21,e22)) = op1(j(e21),j(e22))
        & j(op2(e21,e23)) = op1(j(e21),j(e23))
        & j(op2(e21,e24)) = op1(j(e21),j(e24))
        & j(op2(e22,e20)) = op1(j(e22),j(e20))
        & j(op2(e22,e21)) = op1(j(e22),j(e21))
        & j(op2(e22,e22)) = op1(j(e22),j(e22))
        & j(op2(e22,e23)) = op1(j(e22),j(e23))
        & j(op2(e22,e24)) = op1(j(e22),j(e24))
        & j(op2(e23,e20)) = op1(j(e23),j(e20))
        & j(op2(e23,e21)) = op1(j(e23),j(e21))
        & j(op2(e23,e22)) = op1(j(e23),j(e22))
        & j(op2(e23,e23)) = op1(j(e23),j(e23))
        & j(op2(e23,e24)) = op1(j(e23),j(e24))
        & j(op2(e24,e20)) = op1(j(e24),j(e20))
        & j(op2(e24,e21)) = op1(j(e24),j(e21))
        & j(op2(e24,e22)) = op1(j(e24),j(e22))
        & j(op2(e24,e23)) = op1(j(e24),j(e23))
        & j(op2(e24,e24)) = op1(j(e24),j(e24))
        & h(j(e20)) = e20
        & h(j(e21)) = e21
        & h(j(e22)) = e22
        & h(j(e23)) = e23
        & h(j(e24)) = e24
        & j(h(e10)) = e10
        & j(h(e11)) = e11
        & j(h(e12)) = e12
        & j(h(e13)) = e13
        & j(h(e14)) = e14 ) ),
    input ).

fof('ax4_$sk',plain,
    ( op1(e14,e14) = e10
    & op1(e14,e13) = e12
    & op1(e14,e12) = e11
    & op1(e14,e11) = e13
    & op1(e14,e10) = e14
    & op1(e13,e14) = e11
    & op1(e13,e13) = e14
    & op1(e13,e12) = e10
    & op1(e13,e11) = e12
    & op1(e13,e10) = e13
    & op1(e12,e14) = e13
    & op1(e12,e13) = e11
    & op1(e12,e12) = e14
    & op1(e12,e11) = e10
    & op1(e12,e10) = e12
    & op1(e11,e14) = e12
    & op1(e11,e13) = e10
    & op1(e11,e12) = e13
    & op1(e11,e11) = e14
    & op1(e11,e10) = e11
    & op1(e10,e14) = e14
    & op1(e10,e13) = e13
    & op1(e10,e12) = e12
    & op1(e10,e11) = e11
    & op1(e10,e10) = e10 ),
    inference(negpush_and_skolemize,[],[ax4]) ).

fof(ax4,axiom,
    ( op1(e10,e10) = e10
    & op1(e10,e11) = e11
    & op1(e10,e12) = e12
    & op1(e10,e13) = e13
    & op1(e10,e14) = e14
    & op1(e11,e10) = e11
    & op1(e11,e11) = e14
    & op1(e11,e12) = e13
    & op1(e11,e13) = e10
    & op1(e11,e14) = e12
    & op1(e12,e10) = e12
    & op1(e12,e11) = e10
    & op1(e12,e12) = e14
    & op1(e12,e13) = e11
    & op1(e12,e14) = e13
    & op1(e13,e10) = e13
    & op1(e13,e11) = e12
    & op1(e13,e12) = e10
    & op1(e13,e13) = e14
    & op1(e13,e14) = e11
    & op1(e14,e10) = e14
    & op1(e14,e11) = e13
    & op1(e14,e12) = e11
    & op1(e14,e13) = e12
    & op1(e14,e14) = e10 ),
    input ).

fof('ax5_$sk',plain,
    ( op2(e24,e24) = e20
    & op2(e24,e23) = e22
    & op2(e24,e22) = e21
    & op2(e24,e21) = e23
    & op2(e24,e20) = e24
    & op2(e23,e24) = e22
    & op2(e23,e23) = e21
    & op2(e23,e22) = e20
    & op2(e23,e21) = e24
    & op2(e23,e20) = e23
    & op2(e22,e24) = e21
    & op2(e22,e23) = e24
    & op2(e22,e22) = e23
    & op2(e22,e21) = e20
    & op2(e22,e20) = e22
    & op2(e21,e24) = e23
    & op2(e21,e23) = e20
    & op2(e21,e22) = e24
    & op2(e21,e21) = e22
    & op2(e21,e20) = e21
    & op2(e20,e24) = e24
    & op2(e20,e23) = e23
    & op2(e20,e22) = e22
    & op2(e20,e21) = e21
    & op2(e20,e20) = e20 ),
    inference(negpush_and_skolemize,[],[ax5]) ).

fof(ax5,axiom,
    ( op2(e20,e20) = e20
    & op2(e20,e21) = e21
    & op2(e20,e22) = e22
    & op2(e20,e23) = e23
    & op2(e20,e24) = e24
    & op2(e21,e20) = e21
    & op2(e21,e21) = e22
    & op2(e21,e22) = e24
    & op2(e21,e23) = e20
    & op2(e21,e24) = e23
    & op2(e22,e20) = e22
    & op2(e22,e21) = e20
    & op2(e22,e22) = e23
    & op2(e22,e23) = e24
    & op2(e22,e24) = e21
    & op2(e23,e20) = e23
    & op2(e23,e21) = e24
    & op2(e23,e22) = e20
    & op2(e23,e23) = e21
    & op2(e23,e24) = e22
    & op2(e24,e20) = e24
    & op2(e24,e21) = e23
    & op2(e24,e22) = e21
    & op2(e24,e23) = e22
    & op2(e24,e24) = e20 ),
    input ).

fof('ax1_$sk',plain,
    ( e13 != e14
    & e12 != e14
    & e12 != e13
    & e11 != e14
    & e11 != e13
    & e11 != e12
    & e10 != e14
    & e10 != e13
    & e10 != e12
    & e10 != e11 ),
    inference(negpush_and_skolemize,[],[ax1]) ).

fof(ax1,axiom,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e10 != e14
    & e11 != e12
    & e11 != e13
    & e11 != e14
    & e12 != e13
    & e12 != e14
    & e13 != e14 ),
    input ).

cnf('1',plain,
    ( h(e13) = e20
    | h(e13) = e21
    | h(e13) = e22
    | h(e13) = e23
    | h(e13) = e24 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('2',plain,
    j(h(e13)) = e13,
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('3',plain,
    ( j(e20) = e13
    | h(e13) = e21
    | h(e13) = e22
    | h(e13) = e23
    | h(e13) = e24 ),
    inference(paramodulation,[],['1','2']) ).

cnf('4',plain,
    ( j(e20) = e13
    | j(e21) = e13
    | h(e13) = e22
    | h(e13) = e23
    | h(e13) = e24 ),
    inference(paramodulation,[],['3','2']) ).

cnf('5',plain,
    ( j(e20) = e13
    | j(e21) = e13
    | j(e22) = e13
    | h(e13) = e23
    | h(e13) = e24 ),
    inference(paramodulation,[],['4','2']) ).

cnf('6',plain,
    ( j(e20) = e13
    | j(e21) = e13
    | j(e22) = e13
    | j(e24) = e13
    | h(e13) = e23 ),
    inference(paramodulation,[],['5','2']) ).

cnf('7',plain,
    ( j(e20) = e13
    | j(e21) = e13
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['6','2']) ).

cnf('8',plain,
    h(op1(e13,e13)) = op2(h(e13),h(e13)),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('9',plain,
    ( h(op1(e13,e13)) = op2(h(e13),e20)
    | h(e13) = e21
    | h(e13) = e22
    | h(e13) = e23
    | h(e13) = e24 ),
    inference(paramodulation,[],['1','8']) ).

cnf('10',plain,
    op1(e13,e13) = e14,
    inference(cnf_transformation,[],['ax4_$sk']) ).

cnf('11',plain,
    ( h(e14) = op2(h(e13),e20)
    | h(e13) = e21
    | h(e13) = e22
    | h(e13) = e23
    | h(e13) = e24 ),
    inference(simplify,[],['9','10']) ).

cnf('12',plain,
    ( h(e14) = op2(e20,e20)
    | h(e13) = e21
    | h(e13) = e22
    | h(e13) = e23
    | h(e13) = e24 ),
    inference(paramodulation,[],['1','11']) ).

cnf('13',plain,
    op2(e20,e20) = e20,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('14',plain,
    ( h(e14) = e20
    | h(e13) = e21
    | h(e13) = e22
    | h(e13) = e23
    | h(e13) = e24 ),
    inference(simplify,[],['12','13']) ).

cnf('15',plain,
    j(h(e14)) = e14,
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('16',plain,
    ( j(e20) = e14
    | h(e13) = e21
    | h(e13) = e22
    | h(e13) = e23
    | h(e13) = e24 ),
    inference(paramodulation,[],['14','15']) ).

cnf('17',plain,
    ( j(e20) = e14
    | j(e21) = e13
    | h(e13) = e22
    | h(e13) = e23
    | h(e13) = e24 ),
    inference(paramodulation,[],['16','2']) ).

cnf('18',plain,
    ( j(e20) = e14
    | j(e21) = e13
    | j(e22) = e13
    | h(e13) = e23
    | h(e13) = e24 ),
    inference(paramodulation,[],['17','2']) ).

cnf('19',plain,
    ( j(e20) = e14
    | j(e21) = e13
    | j(e22) = e13
    | j(e24) = e13
    | h(e13) = e23 ),
    inference(paramodulation,[],['18','2']) ).

cnf('20',plain,
    ( j(e20) = e14
    | j(e21) = e13
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['19','2']) ).

cnf('21',plain,
    e13 != e14,
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('22',plain,
    ( j(e21) = e13
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[then_simplify],['7','20','21']) ).

cnf('23',plain,
    j(op2(e21,e21)) = op1(j(e21),j(e21)),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('24',plain,
    ( j(op2(e21,e21)) = op1(j(e21),e13)
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['22','23']) ).

cnf('25',plain,
    op2(e21,e21) = e22,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('26',plain,
    ( j(e22) = op1(j(e21),e13)
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(simplify,[],['24','25']) ).

cnf('27',plain,
    ( j(e22) = op1(e13,e13)
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['22','26']) ).

cnf('28',plain,
    ( j(e22) = e14
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(simplify,[],['27','10']) ).

cnf('29',plain,
    j(op2(e22,e21)) = op1(j(e22),j(e21)),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('30',plain,
    ( j(op2(e22,e21)) = op1(j(e22),e13)
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['22','29']) ).

cnf('31',plain,
    op2(e22,e21) = e20,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('32',plain,
    ( j(e20) = op1(j(e22),e13)
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(simplify,[],['30','31']) ).

cnf('33',plain,
    ( j(e20) = op1(e14,e13)
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['28','32']) ).

cnf('34',plain,
    op1(e14,e13) = e12,
    inference(cnf_transformation,[],['ax4_$sk']) ).

cnf('35',plain,
    ( j(e20) = e12
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(simplify,[],['33','34']) ).

cnf('36',plain,
    j(op2(e20,e21)) = op1(j(e20),j(e21)),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('37',plain,
    ( j(op2(e20,e21)) = op1(j(e20),e13)
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['22','36']) ).

cnf('38',plain,
    op2(e20,e21) = e21,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('39',plain,
    ( j(e21) = op1(j(e20),e13)
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(simplify,[],['37','38']) ).

cnf('40',plain,
    ( j(e21) = op1(e12,e13)
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['35','39']) ).

cnf('41',plain,
    op1(e12,e13) = e11,
    inference(cnf_transformation,[],['ax4_$sk']) ).

cnf('42',plain,
    ( j(e21) = e11
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(simplify,[],['40','41']) ).

cnf('43',plain,
    e11 != e13,
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('44',plain,
    ( j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[then_simplify],['42','22','43']) ).

cnf('45',plain,
    h(j(e22)) = e22,
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('46',plain,
    ( j(e23) = e13
    | h(e13) = e22
    | j(e24) = e13 ),
    inference(paramodulation,[],['44','45']) ).

cnf('47',plain,
    ( h(op1(e13,e13)) = op2(h(e13),e22)
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['46','8']) ).

cnf('48',plain,
    ( h(e14) = op2(h(e13),e22)
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(simplify,[],['47','10']) ).

cnf('49',plain,
    ( h(e14) = op2(e22,e22)
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['46','48']) ).

cnf('50',plain,
    op2(e22,e22) = e23,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('51',plain,
    ( h(e14) = e23
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(simplify,[],['49','50']) ).

cnf('52',plain,
    h(op1(e14,e13)) = op2(h(e14),h(e13)),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('53',plain,
    ( h(op1(e14,e13)) = op2(h(e14),e22)
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['46','52']) ).

cnf('54',plain,
    ( h(e12) = op2(h(e14),e22)
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(simplify,[],['53','34']) ).

cnf('55',plain,
    ( h(e12) = op2(e23,e22)
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['51','54']) ).

cnf('56',plain,
    op2(e23,e22) = e20,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('57',plain,
    ( h(e12) = e20
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(simplify,[],['55','56']) ).

cnf('58',plain,
    h(op1(e12,e13)) = op2(h(e12),h(e13)),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('59',plain,
    ( h(op1(e12,e13)) = op2(h(e12),e22)
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['46','58']) ).

cnf('60',plain,
    ( h(e11) = op2(h(e12),e22)
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(simplify,[],['59','41']) ).

cnf('61',plain,
    ( h(e11) = op2(e20,e22)
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['57','60']) ).

cnf('62',plain,
    op2(e20,e22) = e22,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('63',plain,
    ( h(e11) = e22
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(simplify,[],['61','62']) ).

cnf('64',plain,
    j(h(e11)) = e11,
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('65',plain,
    ( j(e22) = e11
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['63','64']) ).

cnf('66',plain,
    ( j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[then_simplify],['65','44','43']) ).

cnf('67',plain,
    j(op2(e24,e24)) = op1(j(e24),j(e24)),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('68',plain,
    ( j(op2(e24,e24)) = op1(j(e24),e13)
    | j(e23) = e13 ),
    inference(paramodulation,[],['66','67']) ).

cnf('69',plain,
    op2(e24,e24) = e20,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('70',plain,
    ( j(e20) = op1(j(e24),e13)
    | j(e23) = e13 ),
    inference(simplify,[],['68','69']) ).

cnf('71',plain,
    ( j(e20) = op1(e13,e13)
    | j(e23) = e13 ),
    inference(paramodulation,[],['66','70']) ).

cnf('72',plain,
    ( j(e20) = e14
    | j(e23) = e13 ),
    inference(simplify,[],['71','10']) ).

cnf('73',plain,
    j(op2(e24,e20)) = op1(j(e24),j(e20)),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('74',plain,
    ( j(op2(e24,e20)) = op1(e13,j(e20))
    | j(e23) = e13 ),
    inference(paramodulation,[],['66','73']) ).

cnf('75',plain,
    op2(e24,e20) = e24,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('76',plain,
    ( j(e24) = op1(e13,j(e20))
    | j(e23) = e13 ),
    inference(simplify,[],['74','75']) ).

cnf('77',plain,
    ( j(e24) = op1(e13,e14)
    | j(e23) = e13 ),
    inference(paramodulation,[],['72','76']) ).

cnf('78',plain,
    op1(e13,e14) = e11,
    inference(cnf_transformation,[],['ax4_$sk']) ).

cnf('79',plain,
    ( j(e24) = e11
    | j(e23) = e13 ),
    inference(simplify,[],['77','78']) ).

cnf('80',plain,
    j(e23) = e13,
    inference(paramodulation,[then_simplify],['79','66','43']) ).

cnf('81',plain,
    j(op2(e24,e23)) = op1(j(e24),j(e23)),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('82',plain,
    j(op2(e24,e23)) = op1(j(e24),e13),
    inference(paramodulation,[],['80','81']) ).

cnf('83',plain,
    op2(e24,e23) = e22,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('84',plain,
    j(op2(e23,e23)) = op1(j(e23),j(e23)),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('85',plain,
    j(op2(e23,e23)) = op1(j(e23),e13),
    inference(paramodulation,[],['80','84']) ).

cnf('86',plain,
    op2(e23,e23) = e21,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('87',plain,
    j(e21) = e14,
    inference(simplify,[then_simplify],['85','86','80','10']) ).

cnf('88',plain,
    j(op2(e23,e21)) = op1(j(e23),j(e21)),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('89',plain,
    j(op2(e23,e21)) = op1(e13,j(e21)),
    inference(paramodulation,[],['80','88']) ).

cnf('90',plain,
    op2(e23,e21) = e24,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('91',plain,
    j(e24) = op1(e13,j(e21)),
    inference(simplify,[],['89','90']) ).

cnf('92',plain,
    j(e24) = op1(e13,e14),
    inference(paramodulation,[],['87','91']) ).

cnf('93',plain,
    j(e24) = e11,
    inference(simplify,[],['92','78']) ).

cnf('94',plain,
    op1(e11,e13) = e10,
    inference(cnf_transformation,[],['ax4_$sk']) ).

cnf('95',plain,
    j(e22) = e10,
    inference(simplify,[then_simplify],['82','83','93','94']) ).

cnf('96',plain,
    j(op2(e22,e23)) = op1(j(e22),j(e23)),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('97',plain,
    j(op2(e22,e23)) = op1(j(e22),e13),
    inference(paramodulation,[],['80','96']) ).

cnf('98',plain,
    op2(e22,e23) = e24,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('99',plain,
    e11 = op1(j(e22),e13),
    inference(simplify,[then_simplify],['97','98','93']) ).

cnf('100',plain,
    e11 = op1(e10,e13),
    inference(paramodulation,[],['95','99']) ).

cnf('101',plain,
    op1(e10,e13) = e13,
    inference(cnf_transformation,[],['ax4_$sk']) ).

cnf('102',plain,
    $false,
    inference(simplify,[then_simplify],['100','43','101']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : ALG078+1 : TPTP v8.1.2. Released v2.7.0.
% 0.08/0.13  % Command  : gkc %s
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Aug 28 02:06:27 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.39  
% 0.20/0.39  input clause set summed statistics:
% 0.20/0.39  ----------------------------------
% 0.20/0.39  in_clause_count:                   165
% 0.20/0.39  in_rule_clause_count:              165
% 0.20/0.39  in_fact_clause_count:                0
% 0.20/0.39  in_answer_clause_count:              0
% 0.20/0.39  in_ground_clause_count:            165
% 0.20/0.39  in_unit_clause_count:              155
% 0.20/0.39  in_horn_clause_count:              155
% 0.20/0.39  in_pos_clause_count:               120
% 0.20/0.39  in_neg_clause_count:                45
% 0.20/0.39  in_poseq_clause_count:             120
% 0.20/0.39  in_negeq_clause_count:              45
% 0.20/0.39  in_unitposeq_clause_count:         110
% 0.20/0.39  in_chain_clause_count:               0
% 0.20/0.39  in_min_length:             1
% 0.20/0.39  in_max_length:             5
% 0.20/0.39  in_min_depth:              1
% 0.20/0.39  in_max_depth:              3
% 0.20/0.39  in_min_size:               3
% 0.20/0.39  in_max_size:              20
% 0.20/0.39  in_min_vars:               0
% 0.20/0.39  in_max_vars:               0
% 0.20/0.39  in_extaxiom_count:                 0
% 0.20/0.39  in_axiom_count:                   95
% 0.20/0.39  in_assumption_count:               0
% 0.20/0.39  in_goal_count:                    70
% 0.20/0.39  in_neg_goal_count:                 0
% 0.20/0.39  in_pos_goal_count:                70
% 0.20/0.39  in_posunit_goal_count:            60
% 0.20/0.39  
% 0.20/0.39  auto guide:
% 0.20/0.39  -----------
% 0.20/0.39  {
% 0.20/0.39  "print":1,
% 0.20/0.39  "print_level": 15,
% 0.20/0.39  "max_size": 0,
% 0.20/0.39  "max_depth": 0,
% 0.20/0.39  "max_length": 0,
% 0.20/0.39  "max_dseconds": 0,
% 0.20/0.39  "runs":[
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":0, "rewrite":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.20/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1, "max_size":15},
% 0.20/0.39  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.20/0.39  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara","prohibit_unordered_para"], "max_dseconds":1},
% 0.20/0.39  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
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% 0.20/0.39  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.20/0.39  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.20/0.39  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.20/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":1, "strategy":["query_focus", "prohibit_nested_para"], "max_dseconds":50},
% 0.20/0.39  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.20/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.20/0.39  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.20/0.39  {"sine":2, "weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.20/0.39  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50, "sine":2},
% 0.20/0.39  
% 0.20/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":3},
% 0.20/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.20/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.20/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.20/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.20/0.39  
% 0.20/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":3},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "max_depth":2} 
% 0.20/0.39  
% 0.20/0.39  ]}
% 0.20/0.39  
% 0.20/0.39  
% 0.20/0.39  **** run 1 fork 0 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 2 fork 1 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"sine":3,"strategy":["hardness_pref"],"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 3 fork 2 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"sine":5,"strategy":["hardness_pref"],"query_preference":0}
% 0.20/0.40  
% 0.20/0.40  **** run 4 fork 3 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.20/0.40  
% 0.20/0.40  **** run 5 fork 4 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.40  
% 0.20/0.40  **** run 6 fork 5 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.40  
% 0.20/0.40  **** run 7 fork 6 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.20/0.41  
% 0.20/0.41  **** run 8 fork 7 starts with strategy
% 0.20/0.41  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  fork 6: search terminated without proof.
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  fork 5: search terminated without proof.
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  fork 3: search terminated without proof.
% 0.20/0.54  
% 0.20/0.54  fork 1: search finished without proof.
% 0.20/0.54  
% 0.20/0.54  
% 0.20/0.54  fork 2: search terminated without proof.
% 0.20/0.55  
% 0.20/0.55  **** run 15 fork 6 starts with strategy
% 0.20/0.55  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.20/0.55  
% 0.20/0.55  **** run 14 fork 5 starts with strategy
% 0.20/0.55  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.20/0.56  
% 0.20/0.56  
% 0.20/0.56  result: proof found
% 0.20/0.56  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.56  by run 5 fork 4 strategy {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.56  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.56  
% 0.20/0.56  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 0.20/0.56  
% 0.20/0.56  run 5 fork 4 statistics:
% 0.20/0.56  ----------------------------------
% 0.20/0.56  this run seconds: 0.049803
% 0.20/0.56  total seconds: 0.084686
% 0.20/0.56  stat_given_used: 314
% 0.20/0.56  stat_given_used_at_endgame: 0
% 0.20/0.56  stat_given_candidates:   758
% 0.20/0.56  stat_given_candidates_at_endgame: 0
% 0.20/0.56  stat_given_candidates_h: 0
% 0.20/0.56  stat_binres_derived_cl:   0
% 0.20/0.56  stat_binres_derived_cl_h: 0
% 0.20/0.56  stat_factor_derived_cl: 0
% 0.20/0.56  stat_para_derived_cl: 4273
% 0.20/0.56  stat_tautologies_discarded: 0
% 0.20/0.56  stat_forward_subsumed: 276
% 0.20/0.56  stat_derived_cut: 500
% 0.20/0.56  stat_derived_rewritten: 60
% 0.20/0.56  stat_weight_discarded_building: 0
% 0.20/0.56  stat_weight_discarded_cl: 0
% 0.20/0.56  stat_internlimit_discarded_cl: 0
% 0.20/0.56  stat_simplified:  60 simplified 0 derived 0 given
% 0.20/0.56  stat_kept_cl: 3091
% 0.20/0.56  stat_built_cl: 3778
% 0.20/0.56  stat_hyperres_partial_cl: 0
% 0.20/0.56  stat_made_rewriters: 122
% 0.20/0.56  stat_backward_subsumed: 0
% 0.20/0.56  stat_propagated_subsumed: 0
% 0.20/0.56  stat_clsubs_attempted:                      1281
% 0.20/0.56  stat_clsubs_fact_groundunit_found:             0
% 0.20/0.56  stat_clsubs_rule_groundunit_found:             6
% 0.20/0.56  stat_clsubs_top_meta_attempted:              31812
% 0.20/0.56  stat_clsubs_top_meta_failed:                 30531
% 0.20/0.56  stat_clsubs_top_meta_nonpref_attempted:               31812
% 0.20/0.56  stat_clsubs_top_meta_nonpref_succeeded:                6173
% 0.20/0.56  stat_clsubs_top_meta_pref_attempted:                   6173
% 0.20/0.56  stat_clsubs_top_meta_pref1_succeeded:                  6173
% 0.20/0.56  stat_clsubs_top_meta_pref2_succeeded:                  3897
% 0.20/0.56  stat_clsubs_top_meta_pref3_succeeded:                  1281
% 0.20/0.56  stat_clsubs_top_meta_pref_succeeded:                   1281
% 0.20/0.56  stat_clsubs_meta_attempted:                 4115
% 0.20/0.56  stat_clsubs_meta_failed:                    2324
% 0.20/0.56  stat_clsubs_predsymbs_attempted:               0
% 0.20/0.56  stat_clsubs_unit_attempted:                    0
% 0.20/0.56  stat_clsubs_full_attempted:                 1281
% 0.20/0.56  stat_forwardsubs_attempted:                 3367
% 0.20/0.56  stat_lit_hash_added:                    742
% 0.20/0.56  stat_lit_hash_computed:               22065
% 0.20/0.56  stat_lit_hash_match_found:              793
% 0.20/0.56  stat_lit_hash_match_miss:             37982
% 0.20/0.56  stat_lit_hash_cut_ok:                   511
% 0.20/0.56  stat_lit_strong_cut_ok:                   0
% 0.20/0.56  stat_lit_hash_subsume_ok:               276
% 0.20/0.56  clqueue els 10000000 used 1
% 0.20/0.56  clactive els 10000000 used 315
% 0.20/0.56  clactivesubsume els 10000000 used 883
% 0.20/0.56  queue_termbuf els 200000000 used 304053
% 0.20/0.56  hyper_termbuf els 100000000 used 1
% 0.20/0.56  active_termbuf els 100000000 used 13755
% 0.20/0.56  varstack els 5000 last used 1
% 0.20/0.56  given_termbuf els 10000000 last used 1
% 0.20/0.56  simplified_termbuf els 10000000 last used 1
% 0.20/0.56  derived_termbuf els 10000000 last used 3
% 0.20/0.56  wr_mallocs: 4425
% 0.20/0.56  wr_callocs: 21
% 0.20/0.56  wr_reallocs: 213
% 0.20/0.56  wr_frees: 4
% 0.20/0.56  wr_malloc_bytes: 4162744772
% 0.20/0.56  wr_calloc_bytes: 112065536
% 0.20/0.56  wr_realloc_bytes: 88880
% 0.20/0.56  wr_realloc_freebytes: 0
% 0.20/0.56  ----------------------------------
%------------------------------------------------------------------------------