TSTP Solution File: NUM429+3 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : NUM429+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n026.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 13:08:19 EDT 2022

% Result   : Theorem 186.93s 187.07s
% Output   : Refutation 186.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   10 (   6 unt;   0 nHn;  10 RR)
%            Number of literals    :   15 (   7 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(15,axiom,
    ( ~ aInteger0(A)
    | ~ aInteger0(B)
    | sdtasdt0(A,B) = sdtasdt0(B,A) ),
    file('NUM429+3.p',unknown),
    [] ).

cnf(39,axiom,
    ( ~ aInteger0(A)
    | sdtasdt0(xq,A) != sdtpldt0(xa,smndt0(xb)) ),
    file('NUM429+3.p',unknown),
    [] ).

cnf(79,axiom,
    aInteger0(xq),
    file('NUM429+3.p',unknown),
    [] ).

cnf(81,axiom,
    aInteger0(dollar_c1),
    file('NUM429+3.p',unknown),
    [] ).

cnf(82,axiom,
    sdtasdt0(xq,dollar_c1) = sdtpldt0(xa,smndt0(xb)),
    file('NUM429+3.p',unknown),
    [] ).

cnf(84,plain,
    sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,dollar_c1),
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[82])]),
    [iquote('copy,82,flip.1')] ).

cnf(95,plain,
    ( ~ aInteger0(A)
    | sdtasdt0(xq,A) != sdtasdt0(xq,dollar_c1) ),
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[39]),84]),
    [iquote('back_demod,39,demod,84')] ).

cnf(3253,plain,
    sdtasdt0(xq,dollar_c1) = sdtasdt0(dollar_c1,xq),
    inference(hyper,[status(thm)],[81,15,79]),
    [iquote('hyper,81,15,79')] ).

cnf(3676,plain,
    ( ~ aInteger0(A)
    | sdtasdt0(xq,A) != sdtasdt0(dollar_c1,xq) ),
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[95]),3253]),
    [iquote('back_demod,95,demod,3253')] ).

cnf(7104,plain,
    $false,
    inference(hyper,[status(thm)],[3676,81,3253]),
    [iquote('hyper,3676,81,3252')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : NUM429+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13  % Command  : otter-tptp-script %s
% 0.14/0.35  % Computer : n026.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 : Wed Jul 27 09:46:09 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 2.18/2.34  ----- Otter 3.3f, August 2004 -----
% 2.18/2.34  The process was started by sandbox2 on n026.cluster.edu,
% 2.18/2.34  Wed Jul 27 09:46:09 2022
% 2.18/2.34  The command was "./otter".  The process ID is 10920.
% 2.18/2.34  
% 2.18/2.34  set(prolog_style_variables).
% 2.18/2.34  set(auto).
% 2.18/2.34     dependent: set(auto1).
% 2.18/2.34     dependent: set(process_input).
% 2.18/2.34     dependent: clear(print_kept).
% 2.18/2.34     dependent: clear(print_new_demod).
% 2.18/2.34     dependent: clear(print_back_demod).
% 2.18/2.34     dependent: clear(print_back_sub).
% 2.18/2.34     dependent: set(control_memory).
% 2.18/2.34     dependent: assign(max_mem, 12000).
% 2.18/2.34     dependent: assign(pick_given_ratio, 4).
% 2.18/2.34     dependent: assign(stats_level, 1).
% 2.18/2.34     dependent: assign(max_seconds, 10800).
% 2.18/2.34  clear(print_given).
% 2.18/2.34  
% 2.18/2.34  formula_list(usable).
% 2.18/2.34  all A (A=A).
% 2.18/2.34  all W0 (aInteger0(W0)->$T).
% 2.18/2.34  aInteger0(sz00).
% 2.18/2.34  aInteger0(sz10).
% 2.18/2.34  all W0 (aInteger0(W0)->aInteger0(smndt0(W0))).
% 2.18/2.34  all W0 W1 (aInteger0(W0)&aInteger0(W1)->aInteger0(sdtpldt0(W0,W1))).
% 2.18/2.34  all W0 W1 (aInteger0(W0)&aInteger0(W1)->aInteger0(sdtasdt0(W0,W1))).
% 2.18/2.34  all W0 W1 W2 (aInteger0(W0)&aInteger0(W1)&aInteger0(W2)->sdtpldt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtpldt0(W0,W1),W2)).
% 2.18/2.34  all W0 W1 (aInteger0(W0)&aInteger0(W1)->sdtpldt0(W0,W1)=sdtpldt0(W1,W0)).
% 2.18/2.34  all W0 (aInteger0(W0)->sdtpldt0(W0,sz00)=W0&W0=sdtpldt0(sz00,W0)).
% 2.18/2.34  all W0 (aInteger0(W0)->sdtpldt0(W0,smndt0(W0))=sz00&sz00=sdtpldt0(smndt0(W0),W0)).
% 2.18/2.34  all W0 W1 W2 (aInteger0(W0)&aInteger0(W1)&aInteger0(W2)->sdtasdt0(W0,sdtasdt0(W1,W2))=sdtasdt0(sdtasdt0(W0,W1),W2)).
% 2.18/2.34  all W0 W1 (aInteger0(W0)&aInteger0(W1)->sdtasdt0(W0,W1)=sdtasdt0(W1,W0)).
% 2.18/2.34  all W0 (aInteger0(W0)->sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)).
% 2.18/2.34  all W0 W1 W2 (aInteger0(W0)&aInteger0(W1)&aInteger0(W2)->sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))&sdtasdt0(sdtpldt0(W0,W1),W2)=sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2))).
% 2.18/2.34  all W0 (aInteger0(W0)->sdtasdt0(W0,sz00)=sz00&sz00=sdtasdt0(sz00,W0)).
% 2.18/2.34  all W0 (aInteger0(W0)->sdtasdt0(smndt0(sz10),W0)=smndt0(W0)&smndt0(W0)=sdtasdt0(W0,smndt0(sz10))).
% 2.18/2.34  all W0 W1 (aInteger0(W0)&aInteger0(W1)-> (sdtasdt0(W0,W1)=sz00->W0=sz00|W1=sz00)).
% 2.18/2.34  all W0 (aInteger0(W0)-> (all W1 (aDivisorOf0(W1,W0)<->aInteger0(W1)&W1!=sz00& (exists W2 (aInteger0(W2)&sdtasdt0(W1,W2)=W0))))).
% 2.18/2.34  all W0 W1 W2 (aInteger0(W0)&aInteger0(W1)&aInteger0(W2)&W2!=sz00-> (sdte_qdtlpzmzozddtrp0(W0,W1,W2)<->aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1))))).
% 2.18/2.34  all W0 W1 (aInteger0(W0)&aInteger0(W1)&W1!=sz00->sdte_qdtlpzmzozddtrp0(W0,W0,W1)).
% 2.18/2.34  all W0 W1 W2 (aInteger0(W0)&aInteger0(W1)&aInteger0(W2)&W2!=sz00-> (sdte_qdtlpzmzozddtrp0(W0,W1,W2)->sdte_qdtlpzmzozddtrp0(W1,W0,W2))).
% 2.18/2.34  aInteger0(xa).
% 2.18/2.34  aInteger0(xb).
% 2.18/2.34  aInteger0(xq).
% 2.18/2.34  xq!=sz00.
% 2.18/2.34  aInteger0(xc).
% 2.18/2.34  exists W0 (aInteger0(W0)&sdtasdt0(xq,W0)=sdtpldt0(xa,smndt0(xb))).
% 2.18/2.34  aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb))).
% 2.18/2.34  sdte_qdtlpzmzozddtrp0(xa,xb,xq).
% 2.18/2.34  exists W0 (aInteger0(W0)&sdtasdt0(xq,W0)=sdtpldt0(xb,smndt0(xc))).
% 2.18/2.34  aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc))).
% 2.18/2.34  sdte_qdtlpzmzozddtrp0(xb,xc,xq).
% 2.18/2.34  -(exists W0 (aInteger0(W0)&sdtasdt0(xq,W0)=sdtpldt0(xa,smndt0(xb)))).
% 2.18/2.34  end_of_list.
% 2.18/2.34  
% 2.18/2.34  -------> usable clausifies to:
% 2.18/2.34  
% 2.18/2.34  list(usable).
% 2.18/2.34  0 [] A=A.
% 2.18/2.34  0 [] -aInteger0(W0)|$T.
% 2.18/2.34  0 [] aInteger0(sz00).
% 2.18/2.34  0 [] aInteger0(sz10).
% 2.18/2.34  0 [] -aInteger0(W0)|aInteger0(smndt0(W0)).
% 2.18/2.34  0 [] -aInteger0(W0)| -aInteger0(W1)|aInteger0(sdtpldt0(W0,W1)).
% 2.18/2.34  0 [] -aInteger0(W0)| -aInteger0(W1)|aInteger0(sdtasdt0(W0,W1)).
% 2.18/2.34  0 [] -aInteger0(W0)| -aInteger0(W1)| -aInteger0(W2)|sdtpldt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtpldt0(W0,W1),W2).
% 2.18/2.34  0 [] -aInteger0(W0)| -aInteger0(W1)|sdtpldt0(W0,W1)=sdtpldt0(W1,W0).
% 2.18/2.34  0 [] -aInteger0(W0)|sdtpldt0(W0,sz00)=W0.
% 2.18/2.34  0 [] -aInteger0(W0)|W0=sdtpldt0(sz00,W0).
% 2.18/2.34  0 [] -aInteger0(W0)|sdtpldt0(W0,smndt0(W0))=sz00.
% 2.18/2.34  0 [] -aInteger0(W0)|sz00=sdtpldt0(smndt0(W0),W0).
% 2.18/2.34  0 [] -aInteger0(W0)| -aInteger0(W1)| -aInteger0(W2)|sdtasdt0(W0,sdtasdt0(W1,W2))=sdtasdt0(sdtasdt0(W0,W1),W2).
% 2.18/2.34  0 [] -aInteger0(W0)| -aInteger0(W1)|sdtasdt0(W0,W1)=sdtasdt0(W1,W0).
% 2.18/2.34  0 [] -aInteger0(W0)|sdtasdt0(W0,sz10)=W0.
% 2.18/2.34  0 [] -aInteger0(W0)|W0=sdtasdt0(sz10,W0).
% 2.18/2.34  0 [] -aInteger0(W0)| -aInteger0(W1)| -aInteger0(W2)|sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)).
% 2.18/2.34  0 [] -aInteger0(W0)| -aInteger0(W1)| -aInteger0(W2)|sdtasdt0(sdtpldt0(W0,W1),W2)=sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2)).
% 2.18/2.34  0 [] -aInteger0(W0)|sdtasdt0(W0,sz00)=sz00.
% 2.18/2.35  0 [] -aInteger0(W0)|sz00=sdtasdt0(sz00,W0).
% 2.18/2.35  0 [] -aInteger0(W0)|sdtasdt0(smndt0(sz10),W0)=smndt0(W0).
% 2.18/2.35  0 [] -aInteger0(W0)|smndt0(W0)=sdtasdt0(W0,smndt0(sz10)).
% 2.18/2.35  0 [] -aInteger0(W0)| -aInteger0(W1)|sdtasdt0(W0,W1)!=sz00|W0=sz00|W1=sz00.
% 2.18/2.35  0 [] -aInteger0(W0)| -aDivisorOf0(W1,W0)|aInteger0(W1).
% 2.18/2.35  0 [] -aInteger0(W0)| -aDivisorOf0(W1,W0)|W1!=sz00.
% 2.18/2.35  0 [] -aInteger0(W0)| -aDivisorOf0(W1,W0)|aInteger0($f1(W0,W1)).
% 2.18/2.35  0 [] -aInteger0(W0)| -aDivisorOf0(W1,W0)|sdtasdt0(W1,$f1(W0,W1))=W0.
% 2.18/2.35  0 [] -aInteger0(W0)|aDivisorOf0(W1,W0)| -aInteger0(W1)|W1=sz00| -aInteger0(W2)|sdtasdt0(W1,W2)!=W0.
% 2.18/2.35  0 [] -aInteger0(W0)| -aInteger0(W1)| -aInteger0(W2)|W2=sz00| -sdte_qdtlpzmzozddtrp0(W0,W1,W2)|aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1))).
% 2.18/2.35  0 [] -aInteger0(W0)| -aInteger0(W1)| -aInteger0(W2)|W2=sz00|sdte_qdtlpzmzozddtrp0(W0,W1,W2)| -aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1))).
% 2.18/2.35  0 [] -aInteger0(W0)| -aInteger0(W1)|W1=sz00|sdte_qdtlpzmzozddtrp0(W0,W0,W1).
% 2.18/2.35  0 [] -aInteger0(W0)| -aInteger0(W1)| -aInteger0(W2)|W2=sz00| -sdte_qdtlpzmzozddtrp0(W0,W1,W2)|sdte_qdtlpzmzozddtrp0(W1,W0,W2).
% 2.18/2.35  0 [] aInteger0(xa).
% 2.18/2.35  0 [] aInteger0(xb).
% 2.18/2.35  0 [] aInteger0(xq).
% 2.18/2.35  0 [] xq!=sz00.
% 2.18/2.35  0 [] aInteger0(xc).
% 2.18/2.35  0 [] aInteger0($c1).
% 2.18/2.35  0 [] sdtasdt0(xq,$c1)=sdtpldt0(xa,smndt0(xb)).
% 2.18/2.35  0 [] aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb))).
% 2.18/2.35  0 [] sdte_qdtlpzmzozddtrp0(xa,xb,xq).
% 2.18/2.35  0 [] aInteger0($c2).
% 2.18/2.35  0 [] sdtasdt0(xq,$c2)=sdtpldt0(xb,smndt0(xc)).
% 2.18/2.35  0 [] aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc))).
% 2.18/2.35  0 [] sdte_qdtlpzmzozddtrp0(xb,xc,xq).
% 2.18/2.35  0 [] -aInteger0(W0)|sdtasdt0(xq,W0)!=sdtpldt0(xa,smndt0(xb)).
% 2.18/2.35  end_of_list.
% 2.18/2.35  
% 2.18/2.35  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 2.18/2.35  
% 2.18/2.35  This ia a non-Horn set with equality.  The strategy will be
% 2.18/2.35  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.18/2.35  deletion, with positive clauses in sos and nonpositive
% 2.18/2.35  clauses in usable.
% 2.18/2.35  
% 2.18/2.35     dependent: set(knuth_bendix).
% 2.18/2.35     dependent: set(anl_eq).
% 2.18/2.35     dependent: set(para_from).
% 2.18/2.35     dependent: set(para_into).
% 2.18/2.35     dependent: clear(para_from_right).
% 2.18/2.35     dependent: clear(para_into_right).
% 2.18/2.35     dependent: set(para_from_vars).
% 2.18/2.35     dependent: set(eq_units_both_ways).
% 2.18/2.35     dependent: set(dynamic_demod_all).
% 2.18/2.35     dependent: set(dynamic_demod).
% 2.18/2.35     dependent: set(order_eq).
% 2.18/2.35     dependent: set(back_demod).
% 2.18/2.35     dependent: set(lrpo).
% 2.18/2.35     dependent: set(hyper_res).
% 2.18/2.35     dependent: set(unit_deletion).
% 2.18/2.35     dependent: set(factor).
% 2.18/2.35  
% 2.18/2.35  ------------> process usable:
% 2.18/2.35  ** KEPT (pick-wt=5): 1 [] -aInteger0(A)|aInteger0(smndt0(A)).
% 2.18/2.35  ** KEPT (pick-wt=8): 2 [] -aInteger0(A)| -aInteger0(B)|aInteger0(sdtpldt0(A,B)).
% 2.18/2.35  ** KEPT (pick-wt=8): 3 [] -aInteger0(A)| -aInteger0(B)|aInteger0(sdtasdt0(A,B)).
% 2.18/2.35  ** KEPT (pick-wt=17): 5 [copy,4,flip.4] -aInteger0(A)| -aInteger0(B)| -aInteger0(C)|sdtpldt0(sdtpldt0(A,B),C)=sdtpldt0(A,sdtpldt0(B,C)).
% 2.18/2.35  ** KEPT (pick-wt=11): 6 [] -aInteger0(A)| -aInteger0(B)|sdtpldt0(A,B)=sdtpldt0(B,A).
% 2.18/2.35  ** KEPT (pick-wt=7): 7 [] -aInteger0(A)|sdtpldt0(A,sz00)=A.
% 2.18/2.35  ** KEPT (pick-wt=7): 9 [copy,8,flip.2] -aInteger0(A)|sdtpldt0(sz00,A)=A.
% 2.18/2.35  ** KEPT (pick-wt=8): 10 [] -aInteger0(A)|sdtpldt0(A,smndt0(A))=sz00.
% 2.18/2.35  ** KEPT (pick-wt=8): 12 [copy,11,flip.2] -aInteger0(A)|sdtpldt0(smndt0(A),A)=sz00.
% 2.18/2.35  ** KEPT (pick-wt=17): 14 [copy,13,flip.4] -aInteger0(A)| -aInteger0(B)| -aInteger0(C)|sdtasdt0(sdtasdt0(A,B),C)=sdtasdt0(A,sdtasdt0(B,C)).
% 2.18/2.35  ** KEPT (pick-wt=11): 15 [] -aInteger0(A)| -aInteger0(B)|sdtasdt0(A,B)=sdtasdt0(B,A).
% 2.18/2.35  ** KEPT (pick-wt=7): 16 [] -aInteger0(A)|sdtasdt0(A,sz10)=A.
% 2.18/2.35  ** KEPT (pick-wt=7): 18 [copy,17,flip.2] -aInteger0(A)|sdtasdt0(sz10,A)=A.
% 2.18/2.35  ** KEPT (pick-wt=19): 20 [copy,19,flip.4] -aInteger0(A)| -aInteger0(B)| -aInteger0(C)|sdtpldt0(sdtasdt0(A,B),sdtasdt0(A,C))=sdtasdt0(A,sdtpldt0(B,C)).
% 2.18/2.35  ** KEPT (pick-wt=19): 22 [copy,21,flip.4] -aInteger0(A)| -aInteger0(B)| -aInteger0(C)|sdtpldt0(sdtasdt0(A,C),sdtasdt0(B,C))=sdtasdt0(sdtpldt0(A,B),C).
% 2.18/2.35  ** KEPT (pick-wt=7): 23 [] -aInteger0(A)|sdtasdt0(A,sz00)=sz00.
% 2.18/2.35  ** KEPT (pick-wt=7): 25 [copy,24,flip.2] -aInteger0(A)|sdtasdt0(sz00,A)=sz00.
% 2.18/2.35  ** KEPT (pick-wt=9): 26 [] -aInteger0(A)|sdtasdt0(smndt0(sz10),A)=smndt0(A).
% 2.18/2.35  ** KEPT (pick-wt=9): 27 [] -aInteger0(A)|smndt0(A)=sdtasdt0(A,smndt0(sz10)).
% 2.18/2.35  ** KEPT (pick-wt=15): 28 [] -aInteger0(A)| -aInteger0(B)|sdtasdt0(A,B)!=sz00|A=sz00|B=sz00.
% 186.93/187.07  ** KEPT (pick-wt=7): 29 [] -aInteger0(A)| -aDivisorOf0(B,A)|aInteger0(B).
% 186.93/187.07  ** KEPT (pick-wt=8): 30 [] -aInteger0(A)| -aDivisorOf0(B,A)|B!=sz00.
% 186.93/187.07  ** KEPT (pick-wt=9): 31 [] -aInteger0(A)| -aDivisorOf0(B,A)|aInteger0($f1(A,B)).
% 186.93/187.07  ** KEPT (pick-wt=12): 32 [] -aInteger0(A)| -aDivisorOf0(B,A)|sdtasdt0(B,$f1(A,B))=A.
% 186.93/187.07  ** KEPT (pick-wt=17): 33 [] -aInteger0(A)|aDivisorOf0(B,A)| -aInteger0(B)|B=sz00| -aInteger0(C)|sdtasdt0(B,C)!=A.
% 186.93/187.07  ** KEPT (pick-wt=19): 34 [] -aInteger0(A)| -aInteger0(B)| -aInteger0(C)|C=sz00| -sdte_qdtlpzmzozddtrp0(A,B,C)|aDivisorOf0(C,sdtpldt0(A,smndt0(B))).
% 186.93/187.07  ** KEPT (pick-wt=19): 35 [] -aInteger0(A)| -aInteger0(B)| -aInteger0(C)|C=sz00|sdte_qdtlpzmzozddtrp0(A,B,C)| -aDivisorOf0(C,sdtpldt0(A,smndt0(B))).
% 186.93/187.07  ** KEPT (pick-wt=11): 36 [] -aInteger0(A)| -aInteger0(B)|B=sz00|sdte_qdtlpzmzozddtrp0(A,A,B).
% 186.93/187.07  ** KEPT (pick-wt=17): 37 [] -aInteger0(A)| -aInteger0(B)| -aInteger0(C)|C=sz00| -sdte_qdtlpzmzozddtrp0(A,B,C)|sdte_qdtlpzmzozddtrp0(B,A,C).
% 186.93/187.07  ** KEPT (pick-wt=3): 38 [] xq!=sz00.
% 186.93/187.07  ** KEPT (pick-wt=10): 39 [] -aInteger0(A)|sdtasdt0(xq,A)!=sdtpldt0(xa,smndt0(xb)).
% 186.93/187.07  
% 186.93/187.07  ------------> process sos:
% 186.93/187.07  ** KEPT (pick-wt=3): 74 [] A=A.
% 186.93/187.07  ** KEPT (pick-wt=2): 75 [] aInteger0(sz00).
% 186.93/187.07  ** KEPT (pick-wt=2): 76 [] aInteger0(sz10).
% 186.93/187.07  ** KEPT (pick-wt=2): 77 [] aInteger0(xa).
% 186.93/187.07  ** KEPT (pick-wt=2): 78 [] aInteger0(xb).
% 186.93/187.07  ** KEPT (pick-wt=2): 79 [] aInteger0(xq).
% 186.93/187.07  ** KEPT (pick-wt=2): 80 [] aInteger0(xc).
% 186.93/187.07  ** KEPT (pick-wt=2): 81 [] aInteger0($c1).
% 186.93/187.07  ** KEPT (pick-wt=8): 83 [copy,82,flip.1] sdtpldt0(xa,smndt0(xb))=sdtasdt0(xq,$c1).
% 186.93/187.07  ---> New Demodulator: 84 [new_demod,83] sdtpldt0(xa,smndt0(xb))=sdtasdt0(xq,$c1).
% 186.93/187.07  ** KEPT (pick-wt=5): 86 [copy,85,demod,84] aDivisorOf0(xq,sdtasdt0(xq,$c1)).
% 186.93/187.07  ** KEPT (pick-wt=4): 87 [] sdte_qdtlpzmzozddtrp0(xa,xb,xq).
% 186.93/187.07  ** KEPT (pick-wt=2): 88 [] aInteger0($c2).
% 186.93/187.07  ** KEPT (pick-wt=8): 90 [copy,89,flip.1] sdtpldt0(xb,smndt0(xc))=sdtasdt0(xq,$c2).
% 186.93/187.07  ---> New Demodulator: 91 [new_demod,90] sdtpldt0(xb,smndt0(xc))=sdtasdt0(xq,$c2).
% 186.93/187.07  ** KEPT (pick-wt=5): 93 [copy,92,demod,91] aDivisorOf0(xq,sdtasdt0(xq,$c2)).
% 186.93/187.07  ** KEPT (pick-wt=4): 94 [] sdte_qdtlpzmzozddtrp0(xb,xc,xq).
% 186.93/187.07    Following clause subsumed by 74 during input processing: 0 [copy,74,flip.1] A=A.
% 186.93/187.07  74 back subsumes 49.
% 186.93/187.07  74 back subsumes 45.
% 186.93/187.07  >>>> Starting back demodulation with 84.
% 186.93/187.07      >> back demodulating 39 with 84.
% 186.93/187.07  >>>> Starting back demodulation with 91.
% 186.93/187.07  
% 186.93/187.07  ======= end of input processing =======
% 186.93/187.07  
% 186.93/187.07  =========== start of search ===========
% 186.93/187.07  
% 186.93/187.07  
% 186.93/187.07  Resetting weight limit to 5.
% 186.93/187.07  
% 186.93/187.07  
% 186.93/187.07  Resetting weight limit to 5.
% 186.93/187.07  
% 186.93/187.07  sos_size=1488
% 186.93/187.07  
% 186.93/187.07  -- HEY sandbox2, WE HAVE A PROOF!! -- 
% 186.93/187.07  
% 186.93/187.07  -----> EMPTY CLAUSE at 184.71 sec ----> 7104 [hyper,3676,81,3252] $F.
% 186.93/187.07  
% 186.93/187.07  Length of proof is 4.  Level of proof is 3.
% 186.93/187.07  
% 186.93/187.07  ---------------- PROOF ----------------
% 186.93/187.07  % SZS status Theorem
% 186.93/187.07  % SZS output start Refutation
% See solution above
% 186.93/187.07  ------------ end of proof -------------
% 186.93/187.07  
% 186.93/187.07  
% 186.93/187.07  Search stopped by max_proofs option.
% 186.93/187.07  
% 186.93/187.07  
% 186.93/187.07  Search stopped by max_proofs option.
% 186.93/187.07  
% 186.93/187.07  ============ end of search ============
% 186.93/187.07  
% 186.93/187.07  -------------- statistics -------------
% 186.93/187.07  clauses given                742
% 186.93/187.07  clauses generated        35521335
% 186.93/187.07  clauses kept                3754
% 186.93/187.07  clauses forward subsumed   12146
% 186.93/187.07  clauses back subsumed         10
% 186.93/187.07  Kbytes malloced             5859
% 186.93/187.07  
% 186.93/187.07  ----------- times (seconds) -----------
% 186.93/187.07  user CPU time        184.71          (0 hr, 3 min, 4 sec)
% 186.93/187.07  system CPU time        0.02          (0 hr, 0 min, 0 sec)
% 186.93/187.07  wall-clock time      187             (0 hr, 3 min, 7 sec)
% 186.93/187.07  
% 186.93/187.07  That finishes the proof of the theorem.
% 186.93/187.07  
% 186.93/187.07  Process 10920 finished Wed Jul 27 09:49:16 2022
% 186.93/187.07  Otter interrupted
% 186.93/187.07  PROOF FOUND
%------------------------------------------------------------------------------