TSTP Solution File: LCL155-1 by EQP---0.9e

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : EQP---0.9e
% Problem  : LCL155-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_eqp %s

% Computer : n014.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 : Sun Jul 17 09:41:21 EDT 2022

% Result   : Unsatisfiable 0.71s 1.14s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   52 (  52 unt;   0 nHn;   7 RR)
%            Number of literals    :   52 (   0 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   70 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,plain,
    equal(implies(truth,A),A),
    file('LCL155-1.p',unknown),
    [] ).

cnf(2,plain,
    equal(implies(implies(A,B),implies(implies(B,C),implies(A,C))),truth),
    file('LCL155-1.p',unknown),
    [] ).

cnf(3,plain,
    equal(implies(implies(A,B),B),implies(implies(B,A),A)),
    file('LCL155-1.p',unknown),
    [] ).

cnf(4,plain,
    equal(implies(implies(not(A),not(B)),implies(B,A)),truth),
    file('LCL155-1.p',unknown),
    [] ).

cnf(5,plain,
    equal(or(A,B),implies(not(A),B)),
    file('LCL155-1.p',unknown),
    [] ).

cnf(6,plain,
    equal(implies(not(A),B),or(A,B)),
    inference(flip,[status(thm),theory(equality)],[5]),
    [iquote('flip(5)')] ).

cnf(8,plain,
    equal(or(A,B),or(B,A)),
    file('LCL155-1.p',unknown),
    [] ).

cnf(9,plain,
    equal(not(or(not(A),not(B))),and(A,B)),
    inference(flip,[status(thm),theory(equality)],[1]),
    [iquote('flip(1)')] ).

cnf(11,plain,
    equal(and(A,B),and(B,A)),
    file('LCL155-1.p',unknown),
    [] ).

cnf(12,plain,
    equal(xor(A,B),or(and(A,not(B)),and(not(A),B))),
    file('LCL155-1.p',unknown),
    [] ).

cnf(13,plain,
    equal(or(and(A,not(B)),and(not(A),B)),xor(A,B)),
    inference(flip,[status(thm),theory(equality)],[12]),
    [iquote('flip(12)')] ).

cnf(14,plain,
    equal(xor(A,B),xor(B,A)),
    file('LCL155-1.p',unknown),
    [] ).

cnf(16,plain,
    equal(not(truth),falsehood),
    file('LCL155-1.p',unknown),
    [] ).

cnf(17,plain,
    ~ equal(xor(x,x),falsehood),
    file('LCL155-1.p',unknown),
    [] ).

cnf(18,plain,
    equal(implies(A,implies(implies(A,B),B)),truth),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,2]),1]),
    [iquote('para(1,2),demod([1])')] ).

cnf(29,plain,
    equal(or(truth,A),implies(falsehood,A)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[16,6]),1]),
    [iquote('para(16,6),flip(1)')] ).

cnf(32,plain,
    equal(implies(implies(not(A),falsehood),A),truth),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,4]),16]),
    [iquote('para(1,4),demod([16])')] ).

cnf(42,plain,
    equal(or(A,truth),implies(falsehood,A)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[29,8]),1]),
    [iquote('para(29,8),flip(1)')] ).

cnf(50,plain,
    equal(implies(A,A),truth),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,18]),1]),
    [iquote('para(1,18),demod([1])')] ).

cnf(52,plain,
    equal(or(A,not(A)),truth),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[50,6]),1]),
    [iquote('para(50,6),flip(1)')] ).

cnf(57,plain,
    equal(or(A,B),implies(not(B),A)),
    inference(para,[status(thm),theory(equality)],[8,5]),
    [iquote('para(8,5)')] ).

cnf(62,plain,
    equal(implies(not(not(A)),A),truth),
    inference(para,[status(thm),theory(equality)],[57,52]),
    [iquote('para(57,52)')] ).

cnf(65,plain,
    equal(not(implies(not(not(A)),not(B))),and(A,B)),
    inference(para,[status(thm),theory(equality)],[5,9]),
    [iquote('para(5,9)')] ).

cnf(67,plain,
    equal(not(or(falsehood,not(A))),and(truth,A)),
    inference(para,[status(thm),theory(equality)],[16,9]),
    [iquote('para(16,9)')] ).

cnf(72,plain,
    equal(implies(not(A),truth),implies(falsehood,A)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[42,5]),1]),
    [iquote('para(42,5),flip(1)')] ).

cnf(74,plain,
    equal(not(falsehood),truth),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[62,32]),1]),
    [iquote('para(62,32),demod([1])')] ).

cnf(78,plain,
    equal(or(falsehood,A),A),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[74,6]),1]),1]),
    [iquote('para(74,6),demod([1]),flip(1)')] ).

cnf(80,plain,
    equal(not(not(A)),and(truth,A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[67]),78]),
    [iquote('back_demod(67),demod([78])')] ).

cnf(81,plain,
    equal(not(implies(and(truth,A),not(B))),and(A,B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[65]),80]),
    [iquote('back_demod(65),demod([80])')] ).

cnf(87,plain,
    equal(implies(not(and(A,not(B))),and(not(A),B)),xor(A,B)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,5]),1]),
    [iquote('para(13,5),flip(1)')] ).

cnf(103,plain,
    equal(xor(A,B),or(and(B,not(A)),and(not(B),A))),
    inference(para,[status(thm),theory(equality)],[14,12]),
    [iquote('para(14,12)')] ).

cnf(104,plain,
    equal(or(and(A,not(B)),and(not(A),B)),xor(B,A)),
    inference(flip,[status(thm),theory(equality)],[103]),
    [iquote('flip(103)')] ).

cnf(105,plain,
    equal(implies(not(A),falsehood),A),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[78,57]),1]),
    [iquote('para(78,57),flip(1)')] ).

cnf(106,plain,
    equal(not(A),implies(and(truth,A),falsehood)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[80,105]),1]),
    [iquote('para(80,105),flip(1)')] ).

cnf(107,plain,
    equal(implies(implies(and(truth,A),falsehood),falsehood),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[105]),106]),
    [iquote('back_demod(105),demod([106])')] ).

cnf(108,plain,
    equal(xor(A,B),or(and(B,implies(and(truth,A),falsehood)),and(implies(and(truth,B),falsehood),A))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[104]),106,106]),1]),
    [iquote('back_demod(104),demod([106,106]),flip(1)')] ).

cnf(122,plain,
    equal(or(and(A,implies(and(truth,B),falsehood)),and(implies(and(truth,A),falsehood),B)),implies(implies(and(truth,and(B,implies(and(truth,A),falsehood))),falsehood),and(implies(and(truth,B),falsehood),A))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[87]),106,106,106,108]),1]),
    [iquote('back_demod(87),demod([106,106,106,108]),flip(1)')] ).

cnf(129,plain,
    equal(xor(A,B),implies(implies(and(truth,and(A,implies(and(truth,B),falsehood))),falsehood),and(implies(and(truth,A),falsehood),B))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[108]),122]),
    [iquote('back_demod(108),demod([122])')] ).

cnf(130,plain,
    ~ equal(implies(implies(and(truth,and(x,implies(and(truth,x),falsehood))),falsehood),and(implies(and(truth,x),falsehood),x)),falsehood),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[17]),129]),
    [iquote('back_demod(17),demod([129])')] ).

cnf(133,plain,
    equal(implies(and(truth,implies(and(truth,A),implies(and(truth,B),falsehood))),falsehood),and(A,B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[81]),106,106]),
    [iquote('back_demod(81),demod([106,106])')] ).

cnf(135,plain,
    equal(implies(implies(and(truth,A),falsehood),truth),implies(falsehood,A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[72]),106]),
    [iquote('back_demod(72),demod([106])')] ).

cnf(194,plain,
    equal(implies(A,implies(implies(B,A),A)),truth),
    inference(para,[status(thm),theory(equality)],[3,18]),
    [iquote('para(3,18)')] ).

cnf(201,plain,
    equal(implies(A,truth),truth),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,194]),50]),
    [iquote('para(1,194),demod([50])')] ).

cnf(204,plain,
    equal(implies(falsehood,A),truth),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[135]),201]),1]),
    [iquote('back_demod(135),demod([201]),flip(1)')] ).

cnf(311,plain,
    equal(implies(implies(A,falsehood),falsehood),A),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[204,3]),1]),1]),
    [iquote('para(204,3),demod([1]),flip(1)')] ).

cnf(313,plain,
    equal(and(truth,A),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[107]),311]),
    [iquote('back_demod(107),demod([311])')] ).

cnf(345,plain,
    equal(implies(implies(A,implies(B,falsehood)),falsehood),and(A,B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[133]),313,313,313]),
    [iquote('back_demod(133),demod([313,313,313])')] ).

cnf(349,plain,
    ~ equal(implies(implies(and(x,implies(x,falsehood)),falsehood),and(implies(x,falsehood),x)),falsehood),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[130]),313,313,313]),
    [iquote('back_demod(130),demod([313,313,313])')] ).

cnf(359,plain,
    equal(and(implies(A,falsehood),A),falsehood),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[50,345]),1]),1]),
    [iquote('para(50,345),demod([1]),flip(1)')] ).

cnf(360,plain,
    ~ equal(and(x,implies(x,falsehood)),falsehood),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[349]),359,311]),
    [iquote('back_demod(349),demod([359,311])')] ).

cnf(362,plain,
    equal(and(A,implies(A,falsehood)),falsehood),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[359,11]),1]),
    [iquote('para(359,11),flip(1)')] ).

cnf(363,plain,
    $false,
    inference(conflict,[status(thm)],[362,360]),
    [iquote('conflict(362,360)')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : LCL155-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13  % Command  : tptp2X_and_run_eqp %s
% 0.12/0.34  % Computer : n014.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jul  3 23:19:24 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.71/1.14  ----- EQP 0.9e, May 2009 -----
% 0.71/1.14  The job began on n014.cluster.edu, Sun Jul  3 23:19:25 2022
% 0.71/1.14  The command was "./eqp09e".
% 0.71/1.14  
% 0.71/1.14  set(prolog_style_variables).
% 0.71/1.14  set(lrpo).
% 0.71/1.14  set(basic_paramod).
% 0.71/1.14  set(functional_subsume).
% 0.71/1.14  set(ordered_paramod).
% 0.71/1.14  set(prime_paramod).
% 0.71/1.14  set(para_pairs).
% 0.71/1.14  assign(pick_given_ratio,4).
% 0.71/1.14  clear(print_kept).
% 0.71/1.14  clear(print_new_demod).
% 0.71/1.14  clear(print_back_demod).
% 0.71/1.14  clear(print_given).
% 0.71/1.14  assign(max_mem,64000).
% 0.71/1.14  end_of_commands.
% 0.71/1.14  
% 0.71/1.14  Usable:
% 0.71/1.14  end_of_list.
% 0.71/1.14  
% 0.71/1.14  Sos:
% 0.71/1.14  0 (wt=-1) [] implies(truth,A) = A.
% 0.71/1.14  0 (wt=-1) [] implies(implies(A,B),implies(implies(B,C),implies(A,C))) = truth.
% 0.71/1.14  0 (wt=-1) [] implies(implies(A,B),B) = implies(implies(B,A),A).
% 0.71/1.14  0 (wt=-1) [] implies(implies(not(A),not(B)),implies(B,A)) = truth.
% 0.71/1.14  0 (wt=-1) [] or(A,B) = implies(not(A),B).
% 0.71/1.14  0 (wt=-1) [] or(or(A,B),C) = or(A,or(B,C)).
% 0.71/1.14  0 (wt=-1) [] or(A,B) = or(B,A).
% 0.71/1.14  0 (wt=-1) [] and(A,B) = not(or(not(A),not(B))).
% 0.71/1.14  0 (wt=-1) [] and(and(A,B),C) = and(A,and(B,C)).
% 0.71/1.14  0 (wt=-1) [] and(A,B) = and(B,A).
% 0.71/1.14  0 (wt=-1) [] xor(A,B) = or(and(A,not(B)),and(not(A),B)).
% 0.71/1.14  0 (wt=-1) [] xor(A,B) = xor(B,A).
% 0.71/1.14  0 (wt=-1) [] and_star(A,B) = not(or(not(A),not(B))).
% 0.71/1.14  0 (wt=-1) [] and_star(and_star(A,B),C) = and_star(A,and_star(B,C)).
% 0.71/1.14  0 (wt=-1) [] and_star(A,B) = and_star(B,A).
% 0.71/1.14  0 (wt=-1) [] not(truth) = falsehood.
% 0.71/1.14  0 (wt=-1) [] -(xor(x,x) = falsehood).
% 0.71/1.14  end_of_list.
% 0.71/1.14  
% 0.71/1.14  Demodulators:
% 0.71/1.14  end_of_list.
% 0.71/1.14  
% 0.71/1.14  Passive:
% 0.71/1.14  end_of_list.
% 0.71/1.14  
% 0.71/1.14  Starting to process input.
% 0.71/1.14  
% 0.71/1.14  ** KEPT: 1 (wt=5) [] implies(truth,A) = A.
% 0.71/1.14  1 is a new demodulator.
% 0.71/1.14  
% 0.71/1.14  ** KEPT: 2 (wt=13) [] implies(implies(A,B),implies(implies(B,C),implies(A,C))) = truth.
% 0.71/1.14  2 is a new demodulator.
% 0.71/1.14  
% 0.71/1.14  ** KEPT: 3 (wt=11) [] implies(implies(A,B),B) = implies(implies(B,A),A).
% 0.71/1.14  clause forward subsumed: 0 (wt=11) [flip(3)] implies(implies(B,A),A) = implies(implies(A,B),B).
% 0.71/1.14  
% 0.71/1.14  ** KEPT: 4 (wt=11) [] implies(implies(not(A),not(B)),implies(B,A)) = truth.
% 0.71/1.14  4 is a new demodulator.
% 0.71/1.14  
% 0.71/1.14  ** KEPT: 5 (wt=8) [] or(A,B) = implies(not(A),B).
% 0.71/1.14  
% 0.71/1.14  ** KEPT: 6 (wt=8) [flip(5)] implies(not(A),B) = or(A,B).
% 0.71/1.14  clause forward subsumed: 0 (wt=8) [flip(6)] or(A,B) = implies(not(A),B).
% 0.71/1.14  
% 0.71/1.14  ** KEPT: 7 (wt=11) [] or(or(A,B),C) = or(A,or(B,C)).
% 0.71/1.14  7 is a new demodulator.
% 0.71/1.14  
% 0.71/1.14  ** KEPT: 8 (wt=7) [] or(A,B) = or(B,A).
% 0.71/1.14  clause forward subsumed: 0 (wt=7) [flip(8)] or(B,A) = or(A,B).
% 0.71/1.14  
% 0.71/1.14  ** KEPT: 9 (wt=10) [flip(1)] not(or(not(A),not(B))) = and(A,B).
% 0.71/1.14  9 is a new demodulator.
% 0.71/1.14  
% 0.71/1.14  ** KEPT: 10 (wt=11) [] and(and(A,B),C) = and(A,and(B,C)).
% 0.71/1.14  10 is a new demodulator.
% 0.71/1.14  
% 0.71/1.14  ** KEPT: 11 (wt=7) [] and(A,B) = and(B,A).
% 0.71/1.14  clause forward subsumed: 0 (wt=7) [flip(11)] and(B,A) = and(A,B).
% 0.71/1.14  
% 0.71/1.14  ** KEPT: 12 (wt=13) [] xor(A,B) = or(and(A,not(B)),and(not(A),B)).
% 0.71/1.14  
% 0.71/1.14  ** KEPT: 13 (wt=13) [flip(12)] or(and(A,not(B)),and(not(A),B)) = xor(A,B).
% 0.71/1.14  clause forward subsumed: 0 (wt=13) [flip(13)] xor(A,B) = or(and(A,not(B)),and(not(A),B)).
% 0.71/1.14  
% 0.71/1.14  ** KEPT: 14 (wt=7) [] xor(A,B) = xor(B,A).
% 0.71/1.14  clause forward subsumed: 0 (wt=7) [flip(14)] xor(B,A) = xor(A,B).
% 0.71/1.14  
% 0.71/1.14  ** KEPT: 15 (wt=7) [demod([9])] and_star(A,B) = and(A,B).
% 0.71/1.14  15 is a new demodulator.
% 0.71/1.14  clause forward subsumed: 0 (wt=11) [demod([15,15,10,15,15])] and(A,and(B,C)) = and(A,and(B,C)).
% 0.71/1.14  clause forward subsumed: 0 (wt=7) [demod([15,15])] and(A,B) = and(B,A).
% 0.71/1.14  
% 0.71/1.14  ** KEPT: 16 (wt=4) [] not(truth) = falsehood.
% 0.71/1.14  16 is a new demodulator.
% 0.71/1.14  
% 0.71/1.14  ** KEPT: 17 (wt=5) [] -(xor(x,x) = falsehood).
% 0.71/1.14  ---------------- PROOF FOUND ----------------
% 0.71/1.14  % SZS status Unsatisfiable
% 0.71/1.14  
% 0.71/1.14  
% 0.71/1.14  After processing input:
% 0.71/1.14  
% 0.71/1.14  Usable:
% 0.71/1.14  end_of_list.
% 0.71/1.14  
% 0.71/1.14  Sos:
% 0.71/1.14  16 (wt=4) [] not(truth) = falsehood.
% 0.71/1.14  1 (wt=5) [] implies(truth,A) = A.
% 0.71/1.14  17 (wt=5) [] -(xor(x,x) = falsehood).
% 0.71/1.14  8 (wt=7) [] or(A,B) = or(B,A).
% 0.71/1.14  11 (wt=7) [] and(A,B) = and(B,A).
% 0.71/1.14  14 (wt=7) [] xor(A,B) = xor(B,A).
% 0.71/1.14  15 (wt=7) [demod([9])] and_star(A,B) = and(A,B).
% 0.71/1.14  5 (wt=8) [] or(A,B) = implies(not(A),B).
% 0.71/1.14  6 (wt=8) [flip(5)] implies(not(A),B) = or(A,B).
% 0.71/1.14  9 (wt=10) [flip(1)] not(or(not(A),not(B))) = and(A,B).
% 0.71/1.14  3 (wt=11) [] implies(implies(A,B),B) = implies(implies(B,A),A).
% 0.71/1.14  4 (wt=11) [] implies(implies(not(A),not(B)),implies(B,A)) = truth.
% 0.71/1.14  7 (wt=11) [] or(or(A,B),C) = or(A,or(B,C)).
% 0.71/1.14  10 (wt=11) [] and(and(A,B),C) = and(A,and(B,C)).
% 0.71/1.14  2 (wt=13) [] implies(implies(A,B),implies(implies(B,C),implies(A,C))) = truth.
% 0.71/1.14  12 (wt=13) [] xor(A,B) = or(and(A,not(B)),and(not(A),B)).
% 0.71/1.14  13 (wt=13) [flip(12)] or(and(A,not(B)),and(not(A),B)) = xor(A,B).
% 0.71/1.14  end_of_list.
% 0.71/1.14  
% 0.71/1.14  Demodulators:
% 0.71/1.14  1 (wt=5) [] implies(truth,A) = A.
% 0.71/1.14  2 (wt=13) [] implies(implies(A,B),implies(implies(B,C),implies(A,C))) = truth.
% 0.71/1.14  4 (wt=11) [] implies(implies(not(A),not(B)),implies(B,A)) = truth.
% 0.71/1.14  7 (wt=11) [] or(or(A,B),C) = or(A,or(B,C)).
% 0.71/1.14  9 (wt=10) [flip(1)] not(or(not(A),not(B))) = and(A,B).
% 0.71/1.14  10 (wt=11) [] and(and(A,B),C) = and(A,and(B,C)).
% 0.71/1.14  15 (wt=7) [demod([9])] and_star(A,B) = and(A,B).
% 0.71/1.14  16 (wt=4) [] not(truth) = falsehood.
% 0.71/1.14  end_of_list.
% 0.71/1.14  
% 0.71/1.14  Passive:
% 0.71/1.14  end_of_list.
% 0.71/1.14  
% 0.71/1.14  UNIT CONFLICT from 362 and 360 at   0.02 seconds.
% 0.71/1.14  
% 0.71/1.14  ---------------- PROOF ----------------
% 0.71/1.14  % SZS output start Refutation
% See solution above
% 0.71/1.14  ------------ end of proof -------------
% 0.71/1.14  
% 0.71/1.14  
% 0.71/1.14  ------------- memory usage ------------
% 0.71/1.14  Memory dynamically allocated (tp_alloc): 976.
% 0.71/1.14    type (bytes each)        gets      frees     in use      avail      bytes
% 0.71/1.14  sym_ent (  96)               60          0         60          0      5.6 K
% 0.71/1.14  term (  16)               29600      22259       7341         39    142.7 K
% 0.71/1.14  gen_ptr (   8)            42034       9124      32910         51    257.5 K
% 0.71/1.14  context ( 808)            22971      22969          2          3      3.9 K
% 0.71/1.14  trail (  12)               2306       2306          0          6      0.1 K
% 0.71/1.14  bt_node (  68)             6808       6805          3         14      1.1 K
% 0.71/1.14  ac_position (285432)          0          0          0          0      0.0 K
% 0.71/1.14  ac_match_pos (14044)          0          0          0          0      0.0 K
% 0.71/1.14  ac_match_free_vars_pos (4020)
% 0.71/1.14                                0          0          0          0      0.0 K
% 0.71/1.14  discrim (  12)             7167       3359       3808        485     50.3 K
% 0.71/1.14  flat (  40)               57889      57889          0         59      2.3 K
% 0.71/1.14  discrim_pos (  12)         1565       1565          0          1      0.0 K
% 0.71/1.14  fpa_head (  12)            2403          0       2403          0     28.2 K
% 0.71/1.14  fpa_tree (  28)            1643       1643          0         31      0.8 K
% 0.71/1.14  fpa_pos (  36)              617        617          0          1      0.0 K
% 0.71/1.14  literal (  12)             1450       1088        362          1      4.3 K
% 0.71/1.14  clause (  24)              1450       1088        362          1      8.5 K
% 0.71/1.14  list (  12)                 314        258         56          4      0.7 K
% 0.71/1.14  list_pos (  20)            1798        975        823         18     16.4 K
% 0.71/1.14  pair_index (   40)              2          0          2          0      0.1 K
% 0.71/1.14  
% 0.71/1.14  -------------- statistics -------------
% 0.71/1.14  Clauses input                 17
% 0.71/1.14    Usable input                   0
% 0.71/1.14    Sos input                     17
% 0.71/1.14    Demodulators input             0
% 0.71/1.14    Passive input                  0
% 0.71/1.14  
% 0.71/1.14  Processed BS (before search)  25
% 0.71/1.14  Forward subsumed BS            8
% 0.71/1.14  Kept BS                       17
% 0.71/1.14  New demodulators BS            8
% 0.71/1.14  Back demodulated BS            0
% 0.71/1.14  
% 0.71/1.14  Clauses or pairs given      1064
% 0.71/1.14  Clauses generated            936
% 0.71/1.14  Forward subsumed             591
% 0.71/1.14  Deleted by weight              0
% 0.71/1.14  Deleted by variable count      0
% 0.71/1.14  Kept                         345
% 0.71/1.14  New demodulators             247
% 0.71/1.14  Back demodulated             197
% 0.71/1.14  Ordered paramod prunes         0
% 0.71/1.14  Basic paramod prunes        1255
% 0.71/1.14  Prime paramod prunes          50
% 0.71/1.14  Semantic prunes                0
% 0.71/1.14  
% 0.71/1.14  Rewrite attmepts           12742
% 0.71/1.14  Rewrites                    1395
% 0.71/1.14  
% 0.71/1.14  FPA overloads                  0
% 0.71/1.14  FPA underloads                 0
% 0.71/1.14  
% 0.71/1.14  Usable size                    0
% 0.71/1.14  Sos size                     164
% 0.71/1.14  Demodulators size            134
% 0.71/1.14  Passive size                   0
% 0.71/1.14  Disabled size                197
% 0.71/1.14  
% 0.71/1.14  Proofs found                   1
% 0.71/1.14  
% 0.71/1.14  ----------- times (seconds) ----------- Sun Jul  3 23:19:25 2022
% 0.71/1.14  
% 0.71/1.14  user CPU time             0.02   (0 hr, 0 min, 0 sec)
% 0.71/1.14  system CPU time           0.03   (0 hr, 0 min, 0 sec)
% 0.71/1.14  wall-clock time           0      (0 hr, 0 min, 0 sec)
% 0.71/1.14  input time                0.00
% 0.71/1.14  paramodulation time       0.00
% 0.71/1.14  demodulation time         0.00
% 0.71/1.14  orient time               0.00
% 0.71/1.14  weigh time                0.00
% 0.71/1.14  forward subsume time      0.00
% 0.71/1.14  back demod find time      0.00
% 0.71/1.14  conflict time             0.00
% 0.71/1.14  LRPO time                 0.00
% 0.71/1.14  store clause time         0.00
% 0.71/1.14  disable clause time       0.00
% 0.71/1.14  prime paramod time        0.00
% 0.71/1.14  semantics time            0.00
% 0.71/1.14  
% 0.71/1.14  EQP interrupted
%------------------------------------------------------------------------------