TSTP Solution File: ALG082+1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : ALG082+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n001.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 16:27:45 EDT 2023

% Result   : Theorem 0.21s 0.49s
% Output   : CNFRefutation 0.21s
% 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) = e12
    & op1(e14,e13) = e10
    & op1(e14,e12) = e11
    & op1(e14,e11) = e13
    & op1(e14,e10) = e14
    & op1(e13,e14) = e10
    & op1(e13,e13) = e11
    & op1(e13,e12) = e14
    & op1(e13,e11) = e12
    & op1(e13,e10) = e13
    & op1(e12,e14) = e11
    & op1(e12,e13) = e14
    & op1(e12,e12) = e13
    & op1(e12,e11) = e10
    & op1(e12,e10) = e12
    & op1(e11,e14) = e13
    & op1(e11,e13) = e12
    & op1(e11,e12) = e10
    & 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) = e10
    & op1(e11,e13) = e12
    & op1(e11,e14) = e13
    & op1(e12,e10) = e12
    & op1(e12,e11) = e10
    & op1(e12,e12) = e13
    & op1(e12,e13) = e14
    & op1(e12,e14) = e11
    & op1(e13,e10) = e13
    & op1(e13,e11) = e12
    & op1(e13,e12) = e14
    & op1(e13,e13) = e11
    & op1(e13,e14) = e10
    & op1(e14,e10) = e14
    & op1(e14,e11) = e13
    & op1(e14,e12) = e11
    & op1(e14,e13) = e10
    & op1(e14,e14) = e12 ),
    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) = e21
    & op2(e23,e23) = e24
    & op2(e23,e22) = e20
    & op2(e23,e21) = e22
    & op2(e23,e20) = e23
    & op2(e22,e24) = e23
    & op2(e22,e23) = e21
    & op2(e22,e22) = e24
    & op2(e22,e21) = e20
    & op2(e22,e20) = e22
    & op2(e21,e24) = e22
    & op2(e21,e23) = e20
    & op2(e21,e22) = e23
    & op2(e21,e21) = e24
    & 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) = e24
    & op2(e21,e22) = e23
    & op2(e21,e23) = e20
    & op2(e21,e24) = e22
    & op2(e22,e20) = e22
    & op2(e22,e21) = e20
    & op2(e22,e22) = e24
    & op2(e22,e23) = e21
    & op2(e22,e24) = e23
    & op2(e23,e20) = e23
    & op2(e23,e21) = e22
    & op2(e23,e22) = e20
    & op2(e23,e23) = e24
    & op2(e23,e24) = e21
    & 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 ).

fof('ax2_$sk',plain,
    ( e23 != e24
    & e22 != e24
    & e22 != e23
    & e21 != e24
    & e21 != e23
    & e21 != e22
    & e20 != e24
    & e20 != e23
    & e20 != e22
    & e20 != e21 ),
    inference(negpush_and_skolemize,[],[ax2]) ).

fof(ax2,axiom,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e20 != e24
    & e21 != e22
    & e21 != e23
    & e21 != e24
    & e22 != e23
    & e22 != e24
    & e23 != e24 ),
    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,
    h(op1(e13,e13)) = op2(h(e13),h(e13)),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('3',plain,
    ( h(op1(e13,e13)) = op2(h(e13),e20)
    | h(e13) = e21
    | h(e13) = e22
    | h(e13) = e23
    | h(e13) = e24 ),
    inference(paramodulation,[],['1','2']) ).

cnf('4',plain,
    op1(e13,e13) = e11,
    inference(cnf_transformation,[],['ax4_$sk']) ).

cnf('5',plain,
    ( h(e11) = op2(h(e13),e20)
    | h(e13) = e21
    | h(e13) = e22
    | h(e13) = e23
    | h(e13) = e24 ),
    inference(simplify,[],['3','4']) ).

cnf('6',plain,
    ( h(e11) = op2(e20,e20)
    | h(e13) = e21
    | h(e13) = e22
    | h(e13) = e23
    | h(e13) = e24 ),
    inference(paramodulation,[],['1','5']) ).

cnf('7',plain,
    op2(e20,e20) = e20,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('8',plain,
    ( h(e11) = e20
    | h(e13) = e21
    | h(e13) = e22
    | h(e13) = e23
    | h(e13) = e24 ),
    inference(simplify,[],['6','7']) ).

cnf('9',plain,
    j(h(e11)) = e11,
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('10',plain,
    ( j(e20) = e11
    | h(e13) = e21
    | h(e13) = e22
    | h(e13) = e23
    | h(e13) = e24 ),
    inference(paramodulation,[],['8','9']) ).

cnf('11',plain,
    j(h(e13)) = e13,
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('12',plain,
    ( j(e20) = e11
    | j(e21) = e13
    | h(e13) = e22
    | h(e13) = e23
    | h(e13) = e24 ),
    inference(paramodulation,[],['10','11']) ).

cnf('13',plain,
    ( j(e20) = e11
    | j(e21) = e13
    | j(e22) = e13
    | h(e13) = e23
    | h(e13) = e24 ),
    inference(paramodulation,[],['12','11']) ).

cnf('14',plain,
    ( j(e20) = e11
    | j(e21) = e13
    | j(e22) = e13
    | j(e24) = e13
    | h(e13) = e23 ),
    inference(paramodulation,[],['13','11']) ).

cnf('15',plain,
    ( j(e20) = e11
    | j(e21) = e13
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['14','11']) ).

cnf('16',plain,
    ( j(e20) = e13
    | h(e13) = e21
    | h(e13) = e22
    | h(e13) = e23
    | h(e13) = e24 ),
    inference(paramodulation,[],['1','11']) ).

cnf('17',plain,
    ( j(e20) = e13
    | j(e21) = e13
    | h(e13) = e22
    | h(e13) = e23
    | h(e13) = e24 ),
    inference(paramodulation,[],['16','11']) ).

cnf('18',plain,
    ( j(e20) = e13
    | j(e21) = e13
    | j(e22) = e13
    | h(e13) = e23
    | h(e13) = e24 ),
    inference(paramodulation,[],['17','11']) ).

cnf('19',plain,
    ( j(e20) = e13
    | j(e21) = e13
    | j(e22) = e13
    | j(e24) = e13
    | h(e13) = e23 ),
    inference(paramodulation,[],['18','11']) ).

cnf('20',plain,
    ( j(e20) = e13
    | j(e21) = e13
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['19','11']) ).

cnf('21',plain,
    e11 != e13,
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('22',plain,
    ( j(e21) = e13
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[then_simplify],['15','20','21']) ).

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

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

cnf('25',plain,
    ( h(op1(e13,e13)) = op2(h(e13),e21)
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['24','2']) ).

cnf('26',plain,
    ( h(e11) = op2(h(e13),e21)
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(simplify,[],['25','4']) ).

cnf('27',plain,
    ( h(e11) = op2(e21,e21)
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['24','26']) ).

cnf('28',plain,
    op2(e21,e21) = e24,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('29',plain,
    ( h(e11) = e24
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(simplify,[],['27','28']) ).

cnf('30',plain,
    h(op1(e13,e11)) = op2(h(e13),h(e11)),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('31',plain,
    ( h(op1(e13,e11)) = op2(e21,h(e11))
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['24','30']) ).

cnf('32',plain,
    op1(e13,e11) = e12,
    inference(cnf_transformation,[],['ax4_$sk']) ).

cnf('33',plain,
    ( h(e12) = op2(e21,h(e11))
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(simplify,[],['31','32']) ).

cnf('34',plain,
    ( h(e12) = op2(e21,e24)
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['29','33']) ).

cnf('35',plain,
    op2(e21,e24) = e22,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('36',plain,
    ( h(e12) = e22
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(simplify,[],['34','35']) ).

cnf('37',plain,
    j(h(e12)) = e12,
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('38',plain,
    ( j(e22) = e12
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['36','37']) ).

cnf('39',plain,
    j(op2(e22,e21)) = op1(j(e22),j(e21)),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('40',plain,
    ( j(op2(e22,e21)) = op1(j(e22),e13)
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['22','39']) ).

cnf('41',plain,
    op2(e22,e21) = e20,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('42',plain,
    ( j(e20) = op1(j(e22),e13)
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(simplify,[],['40','41']) ).

cnf('43',plain,
    ( j(e20) = op1(e12,e13)
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['38','42']) ).

cnf('44',plain,
    op1(e12,e13) = e14,
    inference(cnf_transformation,[],['ax4_$sk']) ).

cnf('45',plain,
    ( j(e20) = e14
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(simplify,[],['43','44']) ).

cnf('46',plain,
    h(j(e20)) = e20,
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('47',plain,
    ( j(e22) = e13
    | h(e14) = e20
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['45','46']) ).

cnf('48',plain,
    h(op1(e13,e12)) = op2(h(e13),h(e12)),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('49',plain,
    ( h(op1(e13,e12)) = op2(e21,h(e12))
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['24','48']) ).

cnf('50',plain,
    op1(e13,e12) = e14,
    inference(cnf_transformation,[],['ax4_$sk']) ).

cnf('51',plain,
    ( h(e14) = op2(e21,h(e12))
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(simplify,[],['49','50']) ).

cnf('52',plain,
    ( h(e14) = op2(e21,e22)
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['36','51']) ).

cnf('53',plain,
    op2(e21,e22) = e23,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('54',plain,
    ( h(e14) = e23
    | j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(simplify,[],['52','53']) ).

cnf('55',plain,
    e20 != e23,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('56',plain,
    ( j(e22) = e13
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[then_simplify],['47','54','55']) ).

cnf('57',plain,
    j(op2(e22,e22)) = op1(j(e22),j(e22)),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('58',plain,
    ( j(op2(e22,e22)) = op1(j(e22),e13)
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['56','57']) ).

cnf('59',plain,
    op2(e22,e22) = e24,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('60',plain,
    ( j(e24) = op1(j(e22),e13)
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(simplify,[],['58','59']) ).

cnf('61',plain,
    ( j(e24) = op1(e13,e13)
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['56','60']) ).

cnf('62',plain,
    ( j(e24) = e11
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(simplify,[],['61','4']) ).

cnf('63',plain,
    j(op2(e24,e22)) = op1(j(e24),j(e22)),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('64',plain,
    ( j(op2(e24,e22)) = op1(j(e24),e13)
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['56','63']) ).

cnf('65',plain,
    op2(e24,e22) = e21,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('66',plain,
    ( j(e21) = op1(j(e24),e13)
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(simplify,[],['64','65']) ).

cnf('67',plain,
    ( j(e21) = op1(e11,e13)
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['62','66']) ).

cnf('68',plain,
    op1(e11,e13) = e12,
    inference(cnf_transformation,[],['ax4_$sk']) ).

cnf('69',plain,
    ( j(e21) = e12
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(simplify,[],['67','68']) ).

cnf('70',plain,
    ( j(op2(e22,e21)) = op1(e13,j(e21))
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['56','39']) ).

cnf('71',plain,
    ( j(e20) = op1(e13,j(e21))
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(simplify,[],['70','41']) ).

cnf('72',plain,
    ( j(e20) = op1(e13,e12)
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['69','71']) ).

cnf('73',plain,
    ( j(e20) = e14
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(simplify,[],['72','50']) ).

cnf('74',plain,
    j(op2(e22,e20)) = op1(j(e22),j(e20)),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('75',plain,
    ( j(op2(e22,e20)) = op1(e13,j(e20))
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['56','74']) ).

cnf('76',plain,
    op2(e22,e20) = e22,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('77',plain,
    ( j(e22) = op1(e13,j(e20))
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(simplify,[],['75','76']) ).

cnf('78',plain,
    ( j(e22) = op1(e13,e14)
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[],['73','77']) ).

cnf('79',plain,
    op1(e13,e14) = e10,
    inference(cnf_transformation,[],['ax4_$sk']) ).

cnf('80',plain,
    ( j(e22) = e10
    | j(e23) = e13
    | j(e24) = e13 ),
    inference(simplify,[],['78','79']) ).

cnf('81',plain,
    e10 != e13,
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('82',plain,
    ( j(e23) = e13
    | j(e24) = e13 ),
    inference(paramodulation,[then_simplify],['80','56','81']) ).

cnf('83',plain,
    j(op2(e24,e24)) = op1(j(e24),j(e24)),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('84',plain,
    ( j(op2(e24,e24)) = op1(j(e24),e13)
    | j(e23) = e13 ),
    inference(paramodulation,[],['82','83']) ).

cnf('85',plain,
    op2(e24,e24) = e20,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('86',plain,
    ( j(e20) = op1(j(e24),e13)
    | j(e23) = e13 ),
    inference(simplify,[],['84','85']) ).

cnf('87',plain,
    ( j(e20) = op1(e13,e13)
    | j(e23) = e13 ),
    inference(paramodulation,[],['82','86']) ).

cnf('88',plain,
    ( j(e20) = e11
    | j(e23) = e13 ),
    inference(simplify,[],['87','4']) ).

cnf('89',plain,
    j(op2(e24,e20)) = op1(j(e24),j(e20)),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('90',plain,
    ( j(op2(e24,e20)) = op1(e13,j(e20))
    | j(e23) = e13 ),
    inference(paramodulation,[],['82','89']) ).

cnf('91',plain,
    op2(e24,e20) = e24,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('92',plain,
    ( j(e24) = op1(e13,j(e20))
    | j(e23) = e13 ),
    inference(simplify,[],['90','91']) ).

cnf('93',plain,
    ( j(e24) = op1(e13,e11)
    | j(e23) = e13 ),
    inference(paramodulation,[],['88','92']) ).

cnf('94',plain,
    ( j(e24) = e12
    | j(e23) = e13 ),
    inference(simplify,[],['93','32']) ).

cnf('95',plain,
    e12 != e13,
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('96',plain,
    j(e23) = e13,
    inference(paramodulation,[then_simplify],['94','82','95']) ).

cnf('97',plain,
    j(op2(e24,e23)) = op1(j(e24),j(e23)),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('98',plain,
    j(op2(e24,e23)) = op1(j(e24),e13),
    inference(paramodulation,[],['96','97']) ).

cnf('99',plain,
    op2(e24,e23) = e22,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('100',plain,
    j(op2(e23,e23)) = op1(j(e23),j(e23)),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('101',plain,
    j(op2(e23,e23)) = op1(j(e23),e13),
    inference(paramodulation,[],['96','100']) ).

cnf('102',plain,
    op2(e23,e23) = e24,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('103',plain,
    j(e24) = e11,
    inference(simplify,[then_simplify],['101','102','96','4']) ).

cnf('104',plain,
    j(e22) = e12,
    inference(simplify,[then_simplify],['98','99','103','68']) ).

cnf('105',plain,
    j(op2(e23,e22)) = op1(j(e23),j(e22)),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('106',plain,
    j(op2(e23,e22)) = op1(e13,j(e22)),
    inference(paramodulation,[],['96','105']) ).

cnf('107',plain,
    op2(e23,e22) = e20,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('108',plain,
    j(e20) = op1(e13,j(e22)),
    inference(simplify,[],['106','107']) ).

cnf('109',plain,
    j(e20) = op1(e13,e12),
    inference(paramodulation,[],['104','108']) ).

cnf('110',plain,
    j(e20) = e14,
    inference(simplify,[],['109','50']) ).

cnf('111',plain,
    h(e14) = e20,
    inference(paramodulation,[],['110','46']) ).

cnf('112',plain,
    j(op2(e22,e23)) = op1(j(e22),j(e23)),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('113',plain,
    j(op2(e22,e23)) = op1(j(e22),e13),
    inference(paramodulation,[],['96','112']) ).

cnf('114',plain,
    op2(e22,e23) = e21,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('115',plain,
    j(e21) = op1(j(e22),e13),
    inference(simplify,[],['113','114']) ).

cnf('116',plain,
    j(e21) = op1(e12,e13),
    inference(paramodulation,[],['104','115']) ).

cnf('117',plain,
    j(e21) = e14,
    inference(simplify,[],['116','44']) ).

cnf('118',plain,
    h(e14) = e21,
    inference(paramodulation,[],['117','23']) ).

cnf('119',plain,
    e21 = e20,
    inference(simplify,[],['111','118']) ).

cnf('120',plain,
    e20 != e21,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('121',plain,
    $false,
    inference(paramodulation,[],['119','120']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ALG082+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14  % Command  : gkc %s
% 0.14/0.35  % Computer : n001.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Aug 28 06:02:19 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.40  
% 0.21/0.40  input clause set summed statistics:
% 0.21/0.40  ----------------------------------
% 0.21/0.40  in_clause_count:                   165
% 0.21/0.40  in_rule_clause_count:              165
% 0.21/0.40  in_fact_clause_count:                0
% 0.21/0.40  in_answer_clause_count:              0
% 0.21/0.40  in_ground_clause_count:            165
% 0.21/0.40  in_unit_clause_count:              155
% 0.21/0.40  in_horn_clause_count:              155
% 0.21/0.40  in_pos_clause_count:               120
% 0.21/0.40  in_neg_clause_count:                45
% 0.21/0.40  in_poseq_clause_count:             120
% 0.21/0.40  in_negeq_clause_count:              45
% 0.21/0.40  in_unitposeq_clause_count:         110
% 0.21/0.40  in_chain_clause_count:               0
% 0.21/0.40  in_min_length:             1
% 0.21/0.40  in_max_length:             5
% 0.21/0.40  in_min_depth:              1
% 0.21/0.40  in_max_depth:              3
% 0.21/0.40  in_min_size:               3
% 0.21/0.40  in_max_size:              20
% 0.21/0.40  in_min_vars:               0
% 0.21/0.40  in_max_vars:               0
% 0.21/0.40  in_extaxiom_count:                 0
% 0.21/0.40  in_axiom_count:                   95
% 0.21/0.40  in_assumption_count:               0
% 0.21/0.40  in_goal_count:                    70
% 0.21/0.40  in_neg_goal_count:                 0
% 0.21/0.40  in_pos_goal_count:                70
% 0.21/0.40  in_posunit_goal_count:            60
% 0.21/0.40  
% 0.21/0.40  auto guide:
% 0.21/0.40  -----------
% 0.21/0.40  {
% 0.21/0.40  "print":1,
% 0.21/0.40  "print_level": 15,
% 0.21/0.40  "max_size": 0,
% 0.21/0.40  "max_depth": 0,
% 0.21/0.40  "max_length": 0,
% 0.21/0.40  "max_dseconds": 0,
% 0.21/0.40  "runs":[
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
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% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.21/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":50},
% 0.21/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_depth":2, "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.21/0.40  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50},
% 0.21/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.21/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.21/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.21/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":50},
% 0.21/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":50},
% 0.21/0.40  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.21/0.40  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.21/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.21/0.40  {"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},
% 0.21/0.40  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.21/0.40  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.21/0.40  {"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},
% 0.21/0.40  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50, "sine":2},
% 0.21/0.40  
% 0.21/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":3},
% 0.21/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.21/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.21/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.21/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.21/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.21/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.21/0.40  
% 0.21/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":3},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.21/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "max_depth":2} 
% 0.21/0.40  
% 0.21/0.40  ]}
% 0.21/0.40  
% 0.21/0.40  
% 0.21/0.40  **** run 1 fork 0 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 2 fork 1 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"sine":3,"strategy":["hardness_pref"],"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 3 fork 2 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"sine":5,"strategy":["hardness_pref"],"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 4 fork 3 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 5 fork 4 starts with strategy
% 0.21/0.40  
% 0.21/0.40  **** run 6 fork 5 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.21/0.40  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 7 fork 6 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.21/0.41  
% 0.21/0.41  **** run 8 fork 7 starts with strategy
% 0.21/0.41  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 0.21/0.49  
% 0.21/0.49  
% 0.21/0.49  result: proof found
% 0.21/0.49  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.21/0.49  by run 5 fork 4 strategy {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.21/0.49  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.21/0.49  
% 0.21/0.49  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 0.21/0.49  
% 0.21/0.49  run 5 fork 4 statistics:
% 0.21/0.49  ----------------------------------
% 0.21/0.49  this run seconds: 0.049090
% 0.21/0.49  total seconds: 0.084156
% 0.21/0.49  stat_given_used: 317
% 0.21/0.49  stat_given_used_at_endgame: 0
% 0.21/0.49  stat_given_candidates:   790
% 0.21/0.49  stat_given_candidates_at_endgame: 0
% 0.21/0.49  stat_given_candidates_h: 0
% 0.21/0.49  stat_binres_derived_cl:   0
% 0.21/0.49  stat_binres_derived_cl_h: 0
% 0.21/0.49  stat_factor_derived_cl: 0
% 0.21/0.49  stat_para_derived_cl: 4335
% 0.21/0.49  stat_tautologies_discarded: 0
% 0.21/0.49  stat_forward_subsumed: 341
% 0.21/0.49  stat_derived_cut: 505
% 0.21/0.49  stat_derived_rewritten: 61
% 0.21/0.49  stat_weight_discarded_building: 0
% 0.21/0.49  stat_weight_discarded_cl: 0
% 0.21/0.49  stat_internlimit_discarded_cl: 0
% 0.21/0.49  stat_simplified:  61 simplified 0 derived 0 given
% 0.21/0.49  stat_kept_cl: 3084
% 0.21/0.49  stat_built_cl: 3779
% 0.21/0.49  stat_hyperres_partial_cl: 0
% 0.21/0.49  stat_made_rewriters: 124
% 0.21/0.49  stat_backward_subsumed: 0
% 0.21/0.49  stat_propagated_subsumed: 0
% 0.21/0.49  stat_clsubs_attempted:                      1469
% 0.21/0.49  stat_clsubs_fact_groundunit_found:             0
% 0.21/0.49  stat_clsubs_rule_groundunit_found:            11
% 0.21/0.49  stat_clsubs_top_meta_attempted:              36004
% 0.21/0.49  stat_clsubs_top_meta_failed:                 34535
% 0.21/0.49  stat_clsubs_top_meta_nonpref_attempted:               36004
% 0.21/0.49  stat_clsubs_top_meta_nonpref_succeeded:                7038
% 0.21/0.49  stat_clsubs_top_meta_pref_attempted:                   7038
% 0.21/0.49  stat_clsubs_top_meta_pref1_succeeded:                  7038
% 0.21/0.49  stat_clsubs_top_meta_pref2_succeeded:                  4253
% 0.21/0.49  stat_clsubs_top_meta_pref3_succeeded:                  1469
% 0.21/0.49  stat_clsubs_top_meta_pref_succeeded:                   1469
% 0.21/0.49  stat_clsubs_meta_attempted:                 4450
% 0.21/0.49  stat_clsubs_meta_failed:                    2534
% 0.21/0.49  stat_clsubs_predsymbs_attempted:               0
% 0.21/0.49  stat_clsubs_unit_attempted:                    0
% 0.21/0.49  stat_clsubs_full_attempted:                 1469
% 0.21/0.49  stat_forwardsubs_attempted:                 3425
% 0.21/0.49  stat_lit_hash_added:                    763
% 0.21/0.49  stat_lit_hash_computed:               22442
% 0.21/0.49  stat_lit_hash_match_found:              866
% 0.21/0.49  stat_lit_hash_match_miss:             38306
% 0.21/0.49  stat_lit_hash_cut_ok:                   514
% 0.21/0.49  stat_lit_strong_cut_ok:                   0
% 0.21/0.49  stat_lit_hash_subsume_ok:               341
% 0.21/0.49  clqueue els 10000000 used 1
% 0.21/0.49  clactive els 10000000 used 318
% 0.21/0.49  clactivesubsume els 10000000 used 889
% 0.21/0.49  queue_termbuf els 200000000 used 303146
% 0.21/0.49  hyper_termbuf els 100000000 used 1
% 0.21/0.49  active_termbuf els 100000000 used 13973
% 0.21/0.49  varstack els 5000 last used 1
% 0.21/0.49  given_termbuf els 10000000 last used 1
% 0.21/0.49  simplified_termbuf els 10000000 last used 1
% 0.21/0.49  derived_termbuf els 10000000 last used 22
% 0.21/0.49  wr_mallocs: 4518
% 0.21/0.49  wr_callocs: 21
% 0.21/0.49  wr_reallocs: 210
% 0.21/0.49  wr_frees: 4
% 0.21/0.49  wr_malloc_bytes: 4162747988
% 0.21/0.49  wr_calloc_bytes: 112065536
% 0.21/0.49  wr_realloc_bytes: 87496
% 0.21/0.49  wr_realloc_freebytes: 0
% 0.21/0.49  ----------------------------------
%------------------------------------------------------------------------------