TSTP Solution File: GRP708-1 by EQP---0.9e

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : EQP---0.9e
% Problem  : GRP708-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_eqp %s

% Computer : n022.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  : 600s
% DateTime : Sat Jul 16 08:49:00 EDT 2022

% Result   : Unsatisfiable 0.73s 1.30s
% Output   : Refutation 0.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   58 (  58 unt;   0 nHn;   4 RR)
%            Number of literals    :   58 (   0 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  102 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,plain,
    equal(mult(A,ld(A,B)),B),
    file('GRP708-1.p',unknown),
    [] ).

cnf(2,plain,
    equal(ld(A,mult(A,B)),B),
    file('GRP708-1.p',unknown),
    [] ).

cnf(3,plain,
    equal(mult(rd(A,B),B),A),
    file('GRP708-1.p',unknown),
    [] ).

cnf(4,plain,
    equal(rd(mult(A,B),B),A),
    file('GRP708-1.p',unknown),
    [] ).

cnf(5,plain,
    equal(mult(A,unit),A),
    file('GRP708-1.p',unknown),
    [] ).

cnf(6,plain,
    equal(mult(unit,A),A),
    file('GRP708-1.p',unknown),
    [] ).

cnf(7,plain,
    equal(mult(mult(A,mult(B,A)),C),mult(A,mult(B,mult(A,C)))),
    inference(flip,[status(thm),theory(equality)],[1]),
    [iquote('flip(1)')] ).

cnf(8,plain,
    equal(mult(op_c,A),mult(A,op_c)),
    file('GRP708-1.p',unknown),
    [] ).

cnf(9,plain,
    equal(mult(A,op_c),mult(op_c,A)),
    inference(flip,[status(thm),theory(equality)],[8]),
    [iquote('flip(8)')] ).

cnf(10,plain,
    equal(mult(mult(mult(op_c,op_c),A),B),mult(mult(op_c,op_c),mult(A,B))),
    inference(flip,[status(thm),theory(equality)],[1]),
    [iquote('flip(1)')] ).

cnf(11,plain,
    ~ equal(mult(mult(a,b),op_c),mult(a,mult(b,op_c))),
    inference(flip,[status(thm),theory(equality)],[1]),
    [iquote('flip(1)')] ).

cnf(12,plain,
    equal(ld(A,A),unit),
    inference(para,[status(thm),theory(equality)],[5,2]),
    [iquote('para(5,2)')] ).

cnf(13,plain,
    equal(rd(A,unit),A),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,5]),1]),
    [iquote('para(3,5),flip(1)')] ).

cnf(19,plain,
    equal(mult(mult(ld(A,B),B),C),mult(ld(A,B),mult(A,mult(ld(A,B),C)))),
    inference(para,[status(thm),theory(equality)],[1,7]),
    [iquote('para(1,7)')] ).

cnf(22,plain,
    equal(rd(mult(A,mult(B,mult(A,C))),C),mult(A,mult(B,A))),
    inference(para,[status(thm),theory(equality)],[7,4]),
    [iquote('para(7,4)')] ).

cnf(23,plain,
    equal(mult(mult(A,A),B),mult(A,mult(A,B))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,7]),6]),
    [iquote('para(6,7),demod([6])')] ).

cnf(24,plain,
    equal(mult(mult(op_c,mult(op_c,A)),B),mult(op_c,mult(op_c,mult(A,B)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[10]),23,23]),
    [iquote('back_demod(10),demod([23,23])')] ).

cnf(25,plain,
    equal(mult(mult(A,mult(B,mult(C,mult(B,A)))),D),mult(A,mult(B,mult(C,mult(B,mult(A,D)))))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,7]),7]),
    [iquote('para(7,7),demod([7])')] ).

cnf(27,plain,
    equal(mult(ld(op_c,A),op_c),A),
    inference(para,[status(thm),theory(equality)],[8,1]),
    [iquote('para(8,1)')] ).

cnf(28,plain,
    equal(ld(op_c,mult(A,op_c)),A),
    inference(para,[status(thm),theory(equality)],[8,2]),
    [iquote('para(8,2)')] ).

cnf(35,plain,
    equal(mult(op_c,mult(op_c,mult(A,B))),mult(op_c,mult(A,mult(op_c,B)))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,7]),24]),
    [iquote('para(9,7),demod([24])')] ).

cnf(36,plain,
    equal(mult(op_c,mult(A,mult(op_c,B))),mult(op_c,mult(op_c,mult(A,B)))),
    inference(flip,[status(thm),theory(equality)],[35]),
    [iquote('flip(35)')] ).

cnf(37,plain,
    equal(mult(op_c,mult(A,mult(B,A))),mult(A,mult(B,mult(A,op_c)))),
    inference(para,[status(thm),theory(equality)],[9,7]),
    [iquote('para(9,7)')] ).

cnf(38,plain,
    equal(mult(A,mult(B,mult(A,op_c))),mult(op_c,mult(A,mult(B,A)))),
    inference(flip,[status(thm),theory(equality)],[37]),
    [iquote('flip(37)')] ).

cnf(39,plain,
    equal(ld(ld(op_c,A),A),op_c),
    inference(para,[status(thm),theory(equality)],[27,2]),
    [iquote('para(27,2)')] ).

cnf(46,plain,
    equal(mult(ld(A,unit),mult(A,mult(ld(A,unit),B))),mult(ld(A,unit),B)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,19]),1]),
    [iquote('para(5,19),flip(1)')] ).

cnf(62,plain,
    equal(rd(mult(A,B),C),mult(A,mult(rd(B,mult(A,C)),A))),
    inference(para,[status(thm),theory(equality)],[3,22]),
    [iquote('para(3,22)')] ).

cnf(64,plain,
    equal(mult(A,mult(rd(B,mult(A,B)),A)),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4]),62]),
    [iquote('back_demod(4),demod([62])')] ).

cnf(87,plain,
    equal(mult(mult(A,mult(mult(B,mult(op_c,A)),op_c)),C),mult(A,mult(op_c,mult(B,mult(op_c,mult(A,C)))))),
    inference(para,[status(thm),theory(equality)],[8,25]),
    [iquote('para(8,25)')] ).

cnf(103,plain,
    equal(mult(A,mult(rd(ld(A,B),B),A)),A),
    inference(para,[status(thm),theory(equality)],[1,64]),
    [iquote('para(1,64)')] ).

cnf(105,plain,
    equal(mult(A,mult(ld(A,unit),A)),A),
    inference(para,[status(thm),theory(equality)],[13,103]),
    [iquote('para(13,103)')] ).

cnf(107,plain,
    equal(mult(ld(A,unit),A),unit),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[105,2]),12]),1]),
    [iquote('para(105,2),demod([12]),flip(1)')] ).

cnf(110,plain,
    equal(ld(ld(A,unit),unit),A),
    inference(para,[status(thm),theory(equality)],[107,2]),
    [iquote('para(107,2)')] ).

cnf(115,plain,
    equal(mult(rd(A,mult(B,A)),B),unit),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[64,2]),12]),1]),
    [iquote('para(64,2),demod([12]),flip(1)')] ).

cnf(122,plain,
    equal(rd(A,mult(op_c,A)),ld(op_c,unit)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[115,28]),1]),
    [iquote('para(115,28),flip(1)')] ).

cnf(125,plain,
    equal(mult(ld(op_c,unit),mult(op_c,A)),A),
    inference(para,[status(thm),theory(equality)],[122,3]),
    [iquote('para(122,3)')] ).

cnf(128,plain,
    equal(mult(op_c,A),ld(ld(op_c,unit),A)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[125,2]),1]),
    [iquote('para(125,2),flip(1)')] ).

cnf(149,plain,
    equal(mult(mult(A,mult(mult(B,ld(ld(op_c,unit),A)),op_c)),C),mult(A,ld(ld(op_c,unit),mult(B,ld(ld(op_c,unit),mult(A,C)))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[87]),128,128,128]),
    [iquote('back_demod(87),demod([128,128,128])')] ).

cnf(169,plain,
    equal(mult(A,mult(B,mult(A,op_c))),ld(ld(op_c,unit),mult(A,mult(B,A)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[38]),128]),
    [iquote('back_demod(38),demod([128])')] ).

cnf(177,plain,
    equal(ld(ld(op_c,unit),mult(A,ld(ld(op_c,unit),B))),ld(ld(op_c,unit),ld(ld(op_c,unit),mult(A,B)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[36]),128,128,128,128]),
    [iquote('back_demod(36),demod([128,128,128,128])')] ).

cnf(180,plain,
    equal(mult(mult(A,mult(mult(B,ld(ld(op_c,unit),A)),op_c)),C),mult(A,ld(ld(op_c,unit),ld(ld(op_c,unit),mult(B,mult(A,C)))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[149]),177]),
    [iquote('back_demod(149),demod([177])')] ).

cnf(187,plain,
    equal(mult(A,op_c),ld(ld(op_c,unit),A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9]),128]),
    [iquote('back_demod(9),demod([128])')] ).

cnf(191,plain,
    equal(mult(mult(A,ld(ld(op_c,unit),ld(ld(op_c,unit),mult(B,A)))),C),mult(A,ld(ld(op_c,unit),ld(ld(op_c,unit),mult(B,mult(A,C)))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[180]),187,177]),
    [iquote('back_demod(180),demod([187,177])')] ).

cnf(192,plain,
    equal(mult(A,mult(B,ld(ld(op_c,unit),A))),ld(ld(op_c,unit),mult(A,mult(B,A)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[169]),187]),
    [iquote('back_demod(169),demod([187])')] ).

cnf(199,plain,
    ~ equal(mult(a,ld(ld(op_c,unit),b)),ld(ld(op_c,unit),mult(a,b))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[11]),187,187]),1]),
    [iquote('back_demod(11),demod([187,187]),flip(1)')] ).

cnf(204,plain,
    equal(mult(ld(A,unit),mult(A,B)),B),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,46]),1]),
    [iquote('para(1,46),demod([1])')] ).

cnf(210,plain,
    equal(mult(ld(A,unit),B),ld(A,B)),
    inference(para,[status(thm),theory(equality)],[1,204]),
    [iquote('para(1,204)')] ).

cnf(212,plain,
    equal(ld(A,ld(ld(A,unit),B)),B),
    inference(para,[status(thm),theory(equality)],[210,1]),
    [iquote('para(210,1)')] ).

cnf(218,plain,
    equal(ld(ld(A,unit),ld(A,B)),B),
    inference(para,[status(thm),theory(equality)],[210,2]),
    [iquote('para(210,2)')] ).

cnf(220,plain,
    equal(mult(A,B),ld(ld(A,unit),B)),
    inference(para,[status(thm),theory(equality)],[212,1]),
    [iquote('para(212,1)')] ).

cnf(235,plain,
    ~ equal(ld(ld(op_c,unit),ld(ld(a,unit),b)),ld(ld(a,unit),ld(ld(op_c,unit),b))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[199]),220,220]),1]),
    [iquote('back_demod(199),demod([220,220]),flip(1)')] ).

cnf(242,plain,
    equal(ld(ld(A,unit),ld(ld(B,unit),ld(ld(op_c,unit),A))),ld(ld(op_c,unit),ld(ld(A,unit),ld(ld(B,unit),A)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[192]),220,220,220,220]),
    [iquote('back_demod(192),demod([220,220,220,220])')] ).

cnf(244,plain,
    equal(ld(ld(ld(ld(A,unit),ld(ld(op_c,unit),ld(ld(op_c,unit),ld(ld(B,unit),A)))),unit),C),ld(ld(A,unit),ld(ld(op_c,unit),ld(ld(op_c,unit),ld(ld(B,unit),ld(ld(A,unit),C)))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[191]),220,220,220,220,220,220]),
    [iquote('back_demod(191),demod([220,220,220,220,220,220])')] ).

cnf(541,plain,
    equal(ld(ld(A,unit),ld(op_c,unit)),ld(op_c,A)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[12,242]),110,110,110,218]),1]),
    [iquote('para(12,242),demod([110,110,110,218]),flip(1)')] ).

cnf(626,plain,
    equal(ld(ld(op_c,unit),ld(ld(A,unit),ld(op_c,B))),ld(ld(A,unit),B)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[39,244]),541,218,212,110,110,212]),1]),
    [iquote('para(39,244),demod([541,218,212,110,110,212]),flip(1)')] ).

cnf(642,plain,
    equal(ld(ld(op_c,unit),ld(A,ld(op_c,B))),ld(A,B)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[110,626]),110]),
    [iquote('para(110,626),demod([110])')] ).

cnf(750,plain,
    equal(ld(ld(op_c,unit),ld(A,B)),ld(A,ld(ld(op_c,unit),B))),
    inference(para,[status(thm),theory(equality)],[212,642]),
    [iquote('para(212,642)')] ).

cnf(751,plain,
    $false,
    inference(conflict,[status(thm)],[750,235]),
    [iquote('conflict(750,235)')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP708-1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : tptp2X_and_run_eqp %s
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jun 13 12:24:48 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.73/1.30  ----- EQP 0.9e, May 2009 -----
% 0.73/1.30  The job began on n022.cluster.edu, Mon Jun 13 12:24:49 2022
% 0.73/1.30  The command was "./eqp09e".
% 0.73/1.30  
% 0.73/1.30  set(prolog_style_variables).
% 0.73/1.30  set(lrpo).
% 0.73/1.30  set(basic_paramod).
% 0.73/1.30  set(functional_subsume).
% 0.73/1.30  set(ordered_paramod).
% 0.73/1.30  set(prime_paramod).
% 0.73/1.30  set(para_pairs).
% 0.73/1.30  assign(pick_given_ratio,4).
% 0.73/1.30  clear(print_kept).
% 0.73/1.30  clear(print_new_demod).
% 0.73/1.30  clear(print_back_demod).
% 0.73/1.30  clear(print_given).
% 0.73/1.30  assign(max_mem,64000).
% 0.73/1.30  end_of_commands.
% 0.73/1.30  
% 0.73/1.30  Usable:
% 0.73/1.30  end_of_list.
% 0.73/1.30  
% 0.73/1.30  Sos:
% 0.73/1.30  0 (wt=-1) [] mult(A,ld(A,B)) = B.
% 0.73/1.30  0 (wt=-1) [] ld(A,mult(A,B)) = B.
% 0.73/1.30  0 (wt=-1) [] mult(rd(A,B),B) = A.
% 0.73/1.30  0 (wt=-1) [] rd(mult(A,B),B) = A.
% 0.73/1.30  0 (wt=-1) [] mult(A,unit) = A.
% 0.73/1.30  0 (wt=-1) [] mult(unit,A) = A.
% 0.73/1.30  0 (wt=-1) [] mult(A,mult(B,mult(A,C))) = mult(mult(A,mult(B,A)),C).
% 0.73/1.30  0 (wt=-1) [] mult(op_c,A) = mult(A,op_c).
% 0.73/1.30  0 (wt=-1) [] mult(mult(op_c,op_c),mult(A,B)) = mult(mult(mult(op_c,op_c),A),B).
% 0.73/1.30  0 (wt=-1) [] -(mult(a,mult(b,op_c)) = mult(mult(a,b),op_c)).
% 0.73/1.30  end_of_list.
% 0.73/1.30  
% 0.73/1.30  Demodulators:
% 0.73/1.30  end_of_list.
% 0.73/1.30  
% 0.73/1.30  Passive:
% 0.73/1.30  end_of_list.
% 0.73/1.30  
% 0.73/1.30  Starting to process input.
% 0.73/1.30  
% 0.73/1.30  ** KEPT: 1 (wt=7) [] mult(A,ld(A,B)) = B.
% 0.73/1.30  1 is a new demodulator.
% 0.73/1.30  
% 0.73/1.30  ** KEPT: 2 (wt=7) [] ld(A,mult(A,B)) = B.
% 0.73/1.30  2 is a new demodulator.
% 0.73/1.30  
% 0.73/1.30  ** KEPT: 3 (wt=7) [] mult(rd(A,B),B) = A.
% 0.73/1.30  3 is a new demodulator.
% 0.73/1.30  
% 0.73/1.30  ** KEPT: 4 (wt=7) [] rd(mult(A,B),B) = A.
% 0.73/1.30  4 is a new demodulator.
% 0.73/1.30  
% 0.73/1.30  ** KEPT: 5 (wt=5) [] mult(A,unit) = A.
% 0.73/1.30  5 is a new demodulator.
% 0.73/1.30  
% 0.73/1.30  ** KEPT: 6 (wt=5) [] mult(unit,A) = A.
% 0.73/1.30  6 is a new demodulator.
% 0.73/1.30  
% 0.73/1.30  ** KEPT: 7 (wt=15) [flip(1)] mult(mult(A,mult(B,A)),C) = mult(A,mult(B,mult(A,C))).
% 0.73/1.30  7 is a new demodulator.
% 0.73/1.30  
% 0.73/1.30  ** KEPT: 8 (wt=7) [] mult(op_c,A) = mult(A,op_c).
% 0.73/1.30  
% 0.73/1.30  ** KEPT: 9 (wt=7) [flip(8)] mult(A,op_c) = mult(op_c,A).
% 0.73/1.30  clause forward subsumed: 0 (wt=7) [flip(9)] mult(op_c,A) = mult(A,op_c).
% 0.73/1.30  
% 0.73/1.30  ** KEPT: 10 (wt=15) [flip(1)] mult(mult(mult(op_c,op_c),A),B) = mult(mult(op_c,op_c),mult(A,B)).
% 0.73/1.30  10 is a new demodulator.
% 0.73/1.30  
% 0.73/1.30  ** KEPT: 11 (wt=11) [flip(1)] -(mult(mult(a,b),op_c) = mult(a,mult(b,op_c))).
% 0.73/1.30  ---------------- PROOF FOUND ----------------
% 0.73/1.30  % SZS status Unsatisfiable
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  After processing input:
% 0.73/1.30  
% 0.73/1.30  Usable:
% 0.73/1.30  end_of_list.
% 0.73/1.30  
% 0.73/1.30  Sos:
% 0.73/1.30  5 (wt=5) [] mult(A,unit) = A.
% 0.73/1.30  6 (wt=5) [] mult(unit,A) = A.
% 0.73/1.30  1 (wt=7) [] mult(A,ld(A,B)) = B.
% 0.73/1.30  2 (wt=7) [] ld(A,mult(A,B)) = B.
% 0.73/1.30  3 (wt=7) [] mult(rd(A,B),B) = A.
% 0.73/1.30  4 (wt=7) [] rd(mult(A,B),B) = A.
% 0.73/1.30  8 (wt=7) [] mult(op_c,A) = mult(A,op_c).
% 0.73/1.30  9 (wt=7) [flip(8)] mult(A,op_c) = mult(op_c,A).
% 0.73/1.30  11 (wt=11) [flip(1)] -(mult(mult(a,b),op_c) = mult(a,mult(b,op_c))).
% 0.73/1.30  7 (wt=15) [flip(1)] mult(mult(A,mult(B,A)),C) = mult(A,mult(B,mult(A,C))).
% 0.73/1.30  10 (wt=15) [flip(1)] mult(mult(mult(op_c,op_c),A),B) = mult(mult(op_c,op_c),mult(A,B)).
% 0.73/1.30  end_of_list.
% 0.73/1.30  
% 0.73/1.30  Demodulators:
% 0.73/1.30  1 (wt=7) [] mult(A,ld(A,B)) = B.
% 0.73/1.30  2 (wt=7) [] ld(A,mult(A,B)) = B.
% 0.73/1.30  3 (wt=7) [] mult(rd(A,B),B) = A.
% 0.73/1.30  4 (wt=7) [] rd(mult(A,B),B) = A.
% 0.73/1.30  5 (wt=5) [] mult(A,unit) = A.
% 0.73/1.30  6 (wt=5) [] mult(unit,A) = A.
% 0.73/1.30  7 (wt=15) [flip(1)] mult(mult(A,mult(B,A)),C) = mult(A,mult(B,mult(A,C))).
% 0.73/1.30  10 (wt=15) [flip(1)] mult(mult(mult(op_c,op_c),A),B) = mult(mult(op_c,op_c),mult(A,B)).
% 0.73/1.30  end_of_list.
% 0.73/1.30  
% 0.73/1.30  Passive:
% 0.73/1.30  end_of_list.
% 0.73/1.30  
% 0.73/1.30  UNIT CONFLICT from 750 and 235 at   0.17 seconds.
% 0.73/1.30  
% 0.73/1.30  ---------------- PROOF ----------------
% 0.73/1.30  % SZS output start Refutation
% See solution above
% 0.73/1.30  ------------ end of proof -------------
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  ------------- memory usage ------------
% 0.73/1.30  Memory dynamically allocated (tp_alloc): 3906.
% 0.73/1.30    type (bytes each)        gets      frees     in use      avail      bytes
% 0.73/1.30  sym_ent (  96)               58          0         58          0      5.4 K
% 0.73/1.30  term (  16)              331108     290814      40294        257    789.1 K
% 0.73/1.30  gen_ptr (   8)           302212      37666     264546         57   2067.2 K
% 0.73/1.30  context ( 808)           185395     185393          2          4      4.7 K
% 0.73/1.30  trail (  12)               7751       7751          0          6      0.1 K
% 0.73/1.30  bt_node (  68)            30164      30161          3         26      1.9 K
% 0.73/1.30  ac_position (285432)          0          0          0          0      0.0 K
% 0.73/1.30  ac_match_pos (14044)          0          0          0          0      0.0 K
% 0.73/1.30  ac_match_free_vars_pos (4020)
% 0.73/1.30                                0          0          0          0      0.0 K
% 0.73/1.30  discrim (  12)            40022      11384      28638          0    335.6 K
% 0.73/1.30  flat (  40)              904785     904785          0        205      8.0 K
% 0.73/1.30  discrim_pos (  12)        16367      16367          0          1      0.0 K
% 0.73/1.30  fpa_head (  12)            4047          0       4047          0     47.4 K
% 0.73/1.30  fpa_tree (  28)            6217       6217          0         45      1.2 K
% 0.73/1.30  fpa_pos (  36)             1269       1269          0          1      0.0 K
% 0.73/1.30  literal (  12)             3209       2459        750          1      8.8 K
% 0.73/1.30  clause (  24)              3209       2459        750          1     17.6 K
% 0.73/1.30  list (  12)                 578        522         56          5      0.7 K
% 0.73/1.30  list_pos (  20)            3382       1486       1896          0     37.0 K
% 0.73/1.30  pair_index (   40)              2          0          2          0      0.1 K
% 0.73/1.30  
% 0.73/1.30  -------------- statistics -------------
% 0.73/1.30  Clauses input                 10
% 0.73/1.30    Usable input                   0
% 0.73/1.30    Sos input                     10
% 0.73/1.30    Demodulators input             0
% 0.73/1.30    Passive input                  0
% 0.73/1.30  
% 0.73/1.30  Processed BS (before search)  12
% 0.73/1.30  Forward subsumed BS            1
% 0.73/1.30  Kept BS                       11
% 0.73/1.30  New demodulators BS            8
% 0.73/1.30  Back demodulated BS            0
% 0.73/1.30  
% 0.73/1.30  Clauses or pairs given      2384
% 0.73/1.30  Clauses generated           2109
% 0.73/1.30  Forward subsumed            1370
% 0.73/1.30  Deleted by weight              0
% 0.73/1.30  Deleted by variable count      0
% 0.73/1.30  Kept                         739
% 0.73/1.30  New demodulators             511
% 0.73/1.30  Back demodulated             300
% 0.73/1.30  Ordered paramod prunes         0
% 0.73/1.30  Basic paramod prunes        8139
% 0.73/1.30  Prime paramod prunes         251
% 0.73/1.30  Semantic prunes                0
% 0.73/1.30  
% 0.73/1.30  Rewrite attmepts          146010
% 0.73/1.30  Rewrites                   15896
% 0.73/1.30  
% 0.73/1.30  FPA overloads                  0
% 0.73/1.30  FPA underloads                 0
% 0.73/1.30  
% 0.73/1.30  Usable size                    0
% 0.73/1.30  Sos size                     449
% 0.73/1.30  Demodulators size            249
% 0.73/1.30  Passive size                   0
% 0.73/1.30  Disabled size                300
% 0.73/1.30  
% 0.73/1.30  Proofs found                   1
% 0.73/1.30  
% 0.73/1.30  ----------- times (seconds) ----------- Mon Jun 13 12:24:49 2022
% 0.73/1.30  
% 0.73/1.30  user CPU time             0.17   (0 hr, 0 min, 0 sec)
% 0.73/1.30  system CPU time           0.04   (0 hr, 0 min, 0 sec)
% 0.73/1.30  wall-clock time           0      (0 hr, 0 min, 0 sec)
% 0.73/1.30  input time                0.00
% 0.73/1.30  paramodulation time       0.01
% 0.73/1.30  demodulation time         0.07
% 0.73/1.30  orient time               0.01
% 0.73/1.30  weigh time                0.00
% 0.73/1.30  forward subsume time      0.00
% 0.73/1.30  back demod find time      0.02
% 0.73/1.30  conflict time             0.00
% 0.73/1.30  LRPO time                 0.01
% 0.73/1.30  store clause time         0.03
% 0.73/1.30  disable clause time       0.00
% 0.73/1.30  prime paramod time        0.00
% 0.73/1.30  semantics time            0.00
% 0.73/1.30  
% 0.73/1.30  EQP interrupted
%------------------------------------------------------------------------------