TSTP Solution File: RNG039-2 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : RNG039-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %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  : 300s
% DateTime : Wed Jul 27 13:12:09 EDT 2022

% Result   : Unsatisfiable 5.24s 5.42s
% Output   : Refutation 5.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   28 (  21 unt;   0 nHn;  10 RR)
%            Number of literals    :   47 (   0 equ;  20 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   64 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(11,axiom,
    ( ~ e_qualish(A,B)
    | ~ e_qualish(B,C)
    | e_qualish(A,C) ),
    file('RNG039-2.p',unknown),
    [] ).

cnf(13,axiom,
    ( ~ sum(A,B,C)
    | ~ sum(B,D,E)
    | ~ sum(A,E,F)
    | sum(C,D,F) ),
    file('RNG039-2.p',unknown),
    [] ).

cnf(14,axiom,
    ( ~ sum(A,B,C)
    | sum(B,A,C) ),
    file('RNG039-2.p',unknown),
    [] ).

cnf(16,axiom,
    ( ~ product(A,B,C)
    | ~ product(B,D,E)
    | ~ product(A,E,F)
    | product(C,D,F) ),
    file('RNG039-2.p',unknown),
    [] ).

cnf(19,axiom,
    ( ~ product(A,B,C)
    | ~ product(D,B,E)
    | ~ sum(A,D,F)
    | ~ product(F,B,G)
    | sum(C,E,G) ),
    file('RNG039-2.p',unknown),
    [] ).

cnf(20,axiom,
    ( ~ product(A,B,C)
    | ~ product(D,B,E)
    | ~ sum(A,D,F)
    | ~ sum(C,E,G)
    | product(F,B,G) ),
    file('RNG039-2.p',unknown),
    [] ).

cnf(22,axiom,
    ( ~ product(A,B,C)
    | ~ product(A,B,D)
    | e_qualish(C,D) ),
    file('RNG039-2.p',unknown),
    [] ).

cnf(25,axiom,
    ~ e_qualish(c,d),
    file('RNG039-2.p',unknown),
    [] ).

cnf(27,axiom,
    sum(additive_identity,A,A),
    file('RNG039-2.p',unknown),
    [] ).

cnf(29,axiom,
    product(A,B,multiply(A,B)),
    file('RNG039-2.p',unknown),
    [] ).

cnf(30,axiom,
    sum(A,B,add(A,B)),
    file('RNG039-2.p',unknown),
    [] ).

cnf(31,axiom,
    product(additive_identity,A,additive_identity),
    file('RNG039-2.p',unknown),
    [] ).

cnf(33,axiom,
    sum(A,add(A,B),B),
    file('RNG039-2.p',unknown),
    [] ).

cnf(35,axiom,
    sum(A,A,additive_identity),
    file('RNG039-2.p',unknown),
    [] ).

cnf(47,axiom,
    product(a,multiply(b,A),multiply(B,A)),
    file('RNG039-2.p',unknown),
    [] ).

cnf(72,axiom,
    product(A,A,A),
    file('RNG039-2.p',unknown),
    [] ).

cnf(73,axiom,
    product(a,b,c),
    file('RNG039-2.p',unknown),
    [] ).

cnf(304,plain,
    product(add(A,A),B,additive_identity),
    inference(hyper,[status(thm)],[30,20,29,29,35]),
    [iquote('hyper,30,20,29,29,35')] ).

cnf(535,plain,
    sum(additive_identity,multiply(A,A),A),
    inference(hyper,[status(thm)],[72,19,31,29,27]),
    [iquote('hyper,72,19,31,29,27')] ).

cnf(964,plain,
    sum(add(A,B),A,B),
    inference(hyper,[status(thm)],[33,14]),
    [iquote('hyper,33,14')] ).

cnf(968,plain,
    sum(add(A,A),B,B),
    inference(hyper,[status(thm)],[33,13,30,30]),
    [iquote('hyper,33,13,30,30')] ).

cnf(2216,plain,
    product(c,A,multiply(B,A)),
    inference(hyper,[status(thm)],[47,16,73,29]),
    [iquote('hyper,47,16,73,29')] ).

cnf(5779,plain,
    product(c,A,A),
    inference(hyper,[status(thm)],[2216,20,304,968,535]),
    [iquote('hyper,2216,20,304,968,535')] ).

cnf(5827,plain,
    product(A,B,additive_identity),
    inference(hyper,[status(thm)],[2216,20,29,964,35]),
    [iquote('hyper,2216,20,29,964,35')] ).

cnf(6373,plain,
    e_qualish(A,additive_identity),
    inference(hyper,[status(thm)],[5827,22,5779]),
    [iquote('hyper,5827,22,5779')] ).

cnf(6374,plain,
    e_qualish(additive_identity,A),
    inference(hyper,[status(thm)],[5827,22,5779]),
    [iquote('hyper,5827,22,5779')] ).

cnf(6628,plain,
    e_qualish(A,B),
    inference(hyper,[status(thm)],[6374,11,6373]),
    [iquote('hyper,6374,11,6373')] ).

cnf(6629,plain,
    $false,
    inference(binary,[status(thm)],[6628,25]),
    [iquote('binary,6628.1,25.1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : RNG039-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : otter-tptp-script %s
% 0.12/0.34  % Computer : n022.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  : 300
% 0.12/0.34  % DateTime : Wed Jul 27 02:16:35 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.59/1.77  ----- Otter 3.3f, August 2004 -----
% 1.59/1.77  The process was started by sandbox2 on n022.cluster.edu,
% 1.59/1.77  Wed Jul 27 02:16:35 2022
% 1.59/1.77  The command was "./otter".  The process ID is 29553.
% 1.59/1.77  
% 1.59/1.77  set(prolog_style_variables).
% 1.59/1.77  set(auto).
% 1.59/1.77     dependent: set(auto1).
% 1.59/1.77     dependent: set(process_input).
% 1.59/1.77     dependent: clear(print_kept).
% 1.59/1.77     dependent: clear(print_new_demod).
% 1.59/1.77     dependent: clear(print_back_demod).
% 1.59/1.77     dependent: clear(print_back_sub).
% 1.59/1.77     dependent: set(control_memory).
% 1.59/1.77     dependent: assign(max_mem, 12000).
% 1.59/1.77     dependent: assign(pick_given_ratio, 4).
% 1.59/1.77     dependent: assign(stats_level, 1).
% 1.59/1.77     dependent: assign(max_seconds, 10800).
% 1.59/1.77  clear(print_given).
% 1.59/1.77  
% 1.59/1.77  list(usable).
% 1.59/1.77  0 [] -e_qualish(X,Y)|e_qualish(add(X,W),add(Y,W)).
% 1.59/1.77  0 [] -e_qualish(X,Y)|e_qualish(add(W,X),add(W,Y)).
% 1.59/1.77  0 [] -e_qualish(X,Y)| -sum(X,W,Z)|sum(Y,W,Z).
% 1.59/1.77  0 [] -e_qualish(X,Y)| -sum(W,X,Z)|sum(W,Y,Z).
% 1.59/1.77  0 [] -e_qualish(X,Y)| -sum(W,Z,X)|sum(W,Z,Y).
% 1.59/1.77  0 [] -e_qualish(X,Y)|e_qualish(multiply(X,W),multiply(Y,W)).
% 1.59/1.77  0 [] -e_qualish(X,Y)|e_qualish(multiply(W,X),multiply(W,Y)).
% 1.59/1.77  0 [] -e_qualish(X,Y)| -product(X,W,Z)|product(Y,W,Z).
% 1.59/1.77  0 [] -e_qualish(X,Y)| -product(W,X,Z)|product(W,Y,Z).
% 1.59/1.77  0 [] -e_qualish(X,Y)| -product(W,Z,X)|product(W,Z,Y).
% 1.59/1.77  0 [] e_qualish(X,X).
% 1.59/1.77  0 [] -e_qualish(X,Y)| -e_qualish(Y,Z)|e_qualish(X,Z).
% 1.59/1.77  0 [] sum(additive_identity,X,X).
% 1.59/1.77  0 [] sum(X,additive_identity,X).
% 1.59/1.77  0 [] product(X,Y,multiply(X,Y)).
% 1.59/1.77  0 [] sum(X,Y,add(X,Y)).
% 1.59/1.77  0 [] -sum(X,Y,U)| -sum(Y,Z,V)| -sum(U,Z,W)|sum(X,V,W).
% 1.59/1.77  0 [] -sum(X,Y,U)| -sum(Y,Z,V)| -sum(X,V,W)|sum(U,Z,W).
% 1.59/1.77  0 [] -sum(X,Y,Z)|sum(Y,X,Z).
% 1.59/1.77  0 [] -product(X,Y,U)| -product(Y,Z,V)| -product(U,Z,W)|product(X,V,W).
% 1.59/1.77  0 [] -product(X,Y,U)| -product(Y,Z,V)| -product(X,V,W)|product(U,Z,W).
% 1.59/1.77  0 [] -product(X,Y,V1)| -product(X,Z,V2)| -sum(Y,Z,V3)| -product(X,V3,V4)|sum(V1,V2,V4).
% 1.59/1.77  0 [] -product(X,Y,V1)| -product(X,Z,V2)| -sum(Y,Z,V3)| -sum(V1,V2,V4)|product(X,V3,V4).
% 1.59/1.77  0 [] -product(Y,X,V1)| -product(Z,X,V2)| -sum(Y,Z,V3)| -product(V3,X,V4)|sum(V1,V2,V4).
% 1.59/1.77  0 [] -product(Y,X,V1)| -product(Z,X,V2)| -sum(Y,Z,V3)| -sum(V1,V2,V4)|product(V3,X,V4).
% 1.59/1.77  0 [] product(additive_identity,X,additive_identity).
% 1.63/1.77  0 [] product(X,additive_identity,additive_identity).
% 1.63/1.77  0 [] -sum(X,Y,U)| -sum(X,Y,V)|e_qualish(U,V).
% 1.63/1.77  0 [] -product(X,Y,U)| -product(X,Y,V)|e_qualish(U,V).
% 1.63/1.77  0 [] -sum(A,B,C)| -sum(D,B,C)|e_qualish(D,A).
% 1.63/1.77  0 [] -sum(A,B,C)| -sum(A,D,C)|e_qualish(D,B).
% 1.63/1.77  0 [] sum(A,add(A,B),B).
% 1.63/1.77  0 [] sum(add(A,B),B,A).
% 1.63/1.77  0 [] sum(A,A,additive_identity).
% 1.63/1.77  0 [] e_qualish(add(A,additive_identity),A).
% 1.63/1.77  0 [] e_qualish(add(A,A),additive_identity).
% 1.63/1.77  0 [] e_qualish(multiply(A,A),A).
% 1.63/1.77  0 [] e_qualish(multiply(a,b),c).
% 1.63/1.77  0 [] e_qualish(multiply(b,a),d).
% 1.63/1.77  0 [] sum(A,B,add(B,A)).
% 1.63/1.77  0 [] product(a,c,c).
% 1.63/1.77  0 [] product(b,d,d).
% 1.63/1.77  0 [] product(c,b,c).
% 1.63/1.77  0 [] product(d,a,d).
% 1.63/1.77  0 [] product(A,multiply(A,B),multiply(A,B)).
% 1.63/1.77  0 [] product(a,multiply(b,A),multiply(B,A)).
% 1.63/1.77  0 [] product(a,b,multiply(c,b)).
% 1.63/1.77  0 [] product(a,multiply(b,c),c).
% 1.63/1.77  0 [] product(b,multiply(a,A),multiply(d,A)).
% 1.63/1.77  0 [] product(b,a,multiply(d,a)).
% 1.63/1.77  0 [] product(b,multiply(a,d),d).
% 1.63/1.77  0 [] product(b,c,multiply(d,b)).
% 1.63/1.77  0 [] product(a,d,multiply(c,a)).
% 1.63/1.77  0 [] product(multiply(A,B),B,multiply(A,B)).
% 1.63/1.77  0 [] product(multiply(A,a),b,multiply(A,c)).
% 1.63/1.77  0 [] product(a,b,multiply(a,c)).
% 1.63/1.77  0 [] product(multiply(c,a),b,c).
% 1.63/1.77  0 [] product(d,b,multiply(b,c)).
% 1.63/1.77  0 [] product(multiply(A,b),a,multiply(A,d)).
% 1.63/1.77  0 [] product(b,a,multiply(b,d)).
% 1.63/1.77  0 [] product(multiply(d,b),a,d).
% 1.63/1.77  0 [] product(c,a,multiply(a,d)).
% 1.63/1.77  0 [] product(a,add(b,a),add(c,a)).
% 1.63/1.77  0 [] product(a,add(a,b),add(a,c)).
% 1.63/1.77  0 [] product(b,add(a,b),add(d,b)).
% 1.63/1.77  0 [] product(b,add(b,a),add(b,d)).
% 1.63/1.77  0 [] product(add(a,b),b,add(c,b)).
% 1.63/1.77  0 [] product(add(b,a),b,add(b,c)).
% 1.63/1.77  0 [] product(add(b,a),a,add(d,a)).
% 1.63/1.77  0 [] product(add(a,b),a,add(a,d)).
% 1.63/1.77  0 [] product(A,A,A).
% 1.63/1.77  0 [] product(a,b,c).
% 1.63/1.77  0 [] product(b,a,d).
% 1.63/1.77  0 [] -e_qualish(c,d).
% 1.63/1.77  end_of_list.
% 1.63/1.77  
% 1.63/1.77  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=5.
% 1.63/1.77  
% 1.63/1.77  This is a Horn set without equality.  The strategy will
% 1.63/1.77  be hyperresolution, with satellites in sos and nuclei
% 1.63/1.77  in usable.
% 1.63/1.77  
% 1.63/1.77     dependent: set(hyper_res).
% 1.63/1.77     dependent: clear(order_hyper).
% 1.63/1.77  
% 1.63/1.77  ------------> process usable:
% 1.63/1.77  ** KEPT (pick-wt=10): 1 [] -e_qualish(A,B)|e_qualish(add(A,C),add(B,C)).
% 1.63/1.77  ** KEPT (pick-wt=10): 2 [] -e_qualish(A,B)|e_qualish(add(C,A),add(C,B)).
% 1.63/1.77  ** KEPT (pick-wt=11): 3 [] -e_qualish(A,B)| -sum(A,C,D)|sum(B,C,D).
% 1.63/1.77  ** KEPT (pick-wt=11): 4 [] -e_qualish(A,B)| -sum(C,A,D)|sum(C,B,D).
% 1.63/1.77  ** KEPT (pick-wt=11): 5 [] -e_qualish(A,B)| -sum(C,D,A)|sum(C,D,B).
% 1.63/1.77  ** KEPT (pick-wt=10): 6 [] -e_qualish(A,B)|e_qualish(multiply(A,C),multiply(B,C)).
% 1.63/1.77  ** KEPT (pick-wt=10): 7 [] -e_qualish(A,B)|e_qualish(multiply(C,A),multiply(C,B)).
% 1.63/1.77  ** KEPT (pick-wt=11): 8 [] -e_qualish(A,B)| -product(A,C,D)|product(B,C,D).
% 1.63/1.77  ** KEPT (pick-wt=11): 9 [] -e_qualish(A,B)| -product(C,A,D)|product(C,B,D).
% 1.63/1.77  ** KEPT (pick-wt=11): 10 [] -e_qualish(A,B)| -product(C,D,A)|product(C,D,B).
% 1.63/1.77  ** KEPT (pick-wt=9): 11 [] -e_qualish(A,B)| -e_qualish(B,C)|e_qualish(A,C).
% 1.63/1.77  ** KEPT (pick-wt=16): 12 [] -sum(A,B,C)| -sum(B,D,E)| -sum(C,D,F)|sum(A,E,F).
% 1.63/1.77  ** KEPT (pick-wt=16): 13 [] -sum(A,B,C)| -sum(B,D,E)| -sum(A,E,F)|sum(C,D,F).
% 1.63/1.77  ** KEPT (pick-wt=8): 14 [] -sum(A,B,C)|sum(B,A,C).
% 1.63/1.77  ** KEPT (pick-wt=16): 15 [] -product(A,B,C)| -product(B,D,E)| -product(C,D,F)|product(A,E,F).
% 1.63/1.77  ** KEPT (pick-wt=16): 16 [] -product(A,B,C)| -product(B,D,E)| -product(A,E,F)|product(C,D,F).
% 1.63/1.77  ** KEPT (pick-wt=20): 17 [] -product(A,B,C)| -product(A,D,E)| -sum(B,D,F)| -product(A,F,G)|sum(C,E,G).
% 1.63/1.77  ** KEPT (pick-wt=20): 18 [] -product(A,B,C)| -product(A,D,E)| -sum(B,D,F)| -sum(C,E,G)|product(A,F,G).
% 1.63/1.77  ** KEPT (pick-wt=20): 19 [] -product(A,B,C)| -product(D,B,E)| -sum(A,D,F)| -product(F,B,G)|sum(C,E,G).
% 1.63/1.77  ** KEPT (pick-wt=20): 20 [] -product(A,B,C)| -product(D,B,E)| -sum(A,D,F)| -sum(C,E,G)|product(F,B,G).
% 1.63/1.77  ** KEPT (pick-wt=11): 21 [] -sum(A,B,C)| -sum(A,B,D)|e_qualish(C,D).
% 1.63/1.77  ** KEPT (pick-wt=11): 22 [] -product(A,B,C)| -product(A,B,D)|e_qualish(C,D).
% 1.63/1.77  ** KEPT (pick-wt=11): 23 [] -sum(A,B,C)| -sum(D,B,C)|e_qualish(D,A).
% 1.63/1.77  ** KEPT (pick-wt=11): 24 [] -sum(A,B,C)| -sum(A,D,C)|e_qualish(D,B).
% 1.63/1.77  ** KEPT (pick-wt=3): 25 [] -e_qualish(c,d).
% 1.63/1.77  
% 1.63/1.77  ------------> process sos:
% 1.63/1.77  ** KEPT (pick-wt=3): 26 [] e_qualish(A,A).
% 1.63/1.77  ** KEPT (pick-wt=4): 27 [] sum(additive_identity,A,A).
% 1.63/1.77  ** KEPT (pick-wt=4): 28 [] sum(A,additive_identity,A).
% 1.63/1.77  ** KEPT (pick-wt=6): 29 [] product(A,B,multiply(A,B)).
% 1.63/1.77  ** KEPT (pick-wt=6): 30 [] sum(A,B,add(A,B)).
% 1.63/1.77  ** KEPT (pick-wt=4): 31 [] product(additive_identity,A,additive_identity).
% 1.63/1.77  ** KEPT (pick-wt=4): 32 [] product(A,additive_identity,additive_identity).
% 1.63/1.77  ** KEPT (pick-wt=6): 33 [] sum(A,add(A,B),B).
% 1.63/1.77  ** KEPT (pick-wt=6): 34 [] sum(add(A,B),B,A).
% 1.63/1.77  ** KEPT (pick-wt=4): 35 [] sum(A,A,additive_identity).
% 1.63/1.77  ** KEPT (pick-wt=5): 36 [] e_qualish(add(A,additive_identity),A).
% 1.63/1.77  ** KEPT (pick-wt=5): 37 [] e_qualish(add(A,A),additive_identity).
% 1.63/1.77  ** KEPT (pick-wt=5): 38 [] e_qualish(multiply(A,A),A).
% 1.63/1.77  ** KEPT (pick-wt=5): 39 [] e_qualish(multiply(a,b),c).
% 1.63/1.77  ** KEPT (pick-wt=5): 40 [] e_qualish(multiply(b,a),d).
% 1.63/1.77  ** KEPT (pick-wt=6): 41 [] sum(A,B,add(B,A)).
% 1.63/1.77  ** KEPT (pick-wt=4): 42 [] product(a,c,c).
% 1.63/1.77  ** KEPT (pick-wt=4): 43 [] product(b,d,d).
% 1.63/1.77  ** KEPT (pick-wt=4): 44 [] product(c,b,c).
% 1.63/1.77  ** KEPT (pick-wt=4): 45 [] product(d,a,d).
% 1.63/1.77  ** KEPT (pick-wt=8): 46 [] product(A,multiply(A,B),multiply(A,B)).
% 1.63/1.77  ** KEPT (pick-wt=8): 47 [] product(a,multiply(b,A),multiply(B,A)).
% 1.63/1.77  ** KEPT (pick-wt=6): 48 [] product(a,b,multiply(c,b)).
% 1.63/1.77  ** KEPT (pick-wt=6): 49 [] product(a,multiply(b,c),c).
% 1.63/1.77  ** KEPT (pick-wt=8): 50 [] product(b,multiply(a,A),multiply(d,A)).
% 1.63/1.77  ** KEPT (pick-wt=6): 51 [] product(b,a,multiply(d,a)).
% 1.63/1.77  ** KEPT (pick-wt=6): 52 [] product(b,multiply(a,d),d).
% 1.63/1.77  ** KEPT (pick-wt=6): 53 [] product(b,c,multiply(d,b)).
% 1.63/1.77  ** KEPT (pick-wt=6): 54 [] product(a,d,multiply(c,a)).
% 1.63/1.77  ** KEPT (pick-wt=8): 55 [] product(multiply(A,B),B,multiply(A,B)).
% 1.63/1.77  ** KEPT (pick-wt=8): 56 [] product(multiply(A,a),b,multiply(A,c)).
% 1.63/1.77  ** KEPT (pick-wt=6): 57 [] product(a,b,multiply(a,c)).
% 1.63/1.77  ** KEPT (pick-wt=6): 58 [] product(multiply(c,a),b,c).
% 1.63/1.77  ** KEPT (pick-wt=6): 59 [] product(d,b,multiply(b,c)).
% 1.63/1.77  ** KEPT (pick-wt=8): 60 [] product(multiply(A,b),a,multiply(A,d)).
% 1.63/1.77  ** KEPT (pick-wt=6): 61 [] product(b,a,multiply(b,d)).
% 1.63/1.77  ** KEPT (pick-wt=6): 62 [] product(multiply(d,b),a,d).
% 1.63/1.77  ** KEPT (pick-wt=6): 63 [] product(c,a,multiply(a,d)).
% 1.63/1.77  ** KEPT (pick-wt=8): 64 [] product(a,add(b,a),add(c,a)).
% 1.63/1.77  ** KEPT (pick-wt=8): 65 [] product(a,add(a,b),add(a,c)).
% 5.24/5.42  ** KEPT (pick-wt=8): 66 [] product(b,add(a,b),add(d,b)).
% 5.24/5.42  ** KEPT (pick-wt=8): 67 [] product(b,add(b,a),add(b,d)).
% 5.24/5.42  ** KEPT (pick-wt=8): 68 [] product(add(a,b),b,add(c,b)).
% 5.24/5.42  ** KEPT (pick-wt=8): 69 [] product(add(b,a),b,add(b,c)).
% 5.24/5.42  ** KEPT (pick-wt=8): 70 [] product(add(b,a),a,add(d,a)).
% 5.24/5.42  ** KEPT (pick-wt=8): 71 [] product(add(a,b),a,add(a,d)).
% 5.24/5.42  ** KEPT (pick-wt=4): 72 [] product(A,A,A).
% 5.24/5.42  ** KEPT (pick-wt=4): 73 [] product(a,b,c).
% 5.24/5.42  ** KEPT (pick-wt=4): 74 [] product(b,a,d).
% 5.24/5.42  
% 5.24/5.42  ======= end of input processing =======
% 5.24/5.42  
% 5.24/5.42  =========== start of search ===========
% 5.24/5.42  
% 5.24/5.42  
% 5.24/5.42  Resetting weight limit to 7.
% 5.24/5.42  
% 5.24/5.42  
% 5.24/5.42  Resetting weight limit to 7.
% 5.24/5.42  
% 5.24/5.42  sos_size=5148
% 5.24/5.42  
% 5.24/5.42  -------- PROOF -------- 
% 5.24/5.42  
% 5.24/5.42  ----> UNIT CONFLICT at   3.65 sec ----> 6629 [binary,6628.1,25.1] $F.
% 5.24/5.42  
% 5.24/5.42  Length of proof is 10.  Level of proof is 4.
% 5.24/5.42  
% 5.24/5.42  ---------------- PROOF ----------------
% 5.24/5.42  % SZS status Unsatisfiable
% 5.24/5.42  % SZS output start Refutation
% See solution above
% 5.24/5.42  ------------ end of proof -------------
% 5.24/5.42  
% 5.24/5.42  
% 5.24/5.42  Search stopped by max_proofs option.
% 5.24/5.42  
% 5.24/5.42  
% 5.24/5.42  Search stopped by max_proofs option.
% 5.24/5.42  
% 5.24/5.42  ============ end of search ============
% 5.24/5.42  
% 5.24/5.42  -------------- statistics -------------
% 5.24/5.42  clauses given                294
% 5.24/5.42  clauses generated        1935151
% 5.24/5.42  clauses kept                6628
% 5.24/5.42  clauses forward subsumed  299930
% 5.24/5.42  clauses back subsumed       2560
% 5.24/5.42  Kbytes malloced             4882
% 5.24/5.42  
% 5.24/5.42  ----------- times (seconds) -----------
% 5.24/5.42  user CPU time          3.65          (0 hr, 0 min, 3 sec)
% 5.24/5.42  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 5.24/5.42  wall-clock time        5             (0 hr, 0 min, 5 sec)
% 5.24/5.42  
% 5.24/5.42  That finishes the proof of the theorem.
% 5.24/5.42  
% 5.24/5.42  Process 29553 finished Wed Jul 27 02:16:40 2022
% 5.24/5.42  Otter interrupted
% 5.24/5.42  PROOF FOUND
%------------------------------------------------------------------------------