TSTP Solution File: NUM458+2 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : NUM458+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n009.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 13:08:25 EDT 2022

% Result   : Theorem 2.14s 2.33s
% Output   : Refutation 2.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   6 unt;   0 nHn;   9 RR)
%            Number of literals    :   17 (   4 equ;   9 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(6,axiom,
    ( ~ aNaturalNumber0(A)
    | sdtpldt0(A,sz00) = A ),
    file('NUM458+2.p',unknown),
    [] ).

cnf(30,axiom,
    ( ~ aNaturalNumber0(A)
    | ~ aNaturalNumber0(B)
    | sdtlse_qdt0(A,B)
    | ~ aNaturalNumber0(C)
    | sdtpldt0(A,C) != B ),
    file('NUM458+2.p',unknown),
    [] ).

cnf(35,axiom,
    ~ sdtlse_qdt0(xm,xm),
    file('NUM458+2.p',unknown),
    [] ).

cnf(70,plain,
    ( ~ aNaturalNumber0(A)
    | sdtlse_qdt0(A,A)
    | ~ aNaturalNumber0(B)
    | sdtpldt0(A,B) != A ),
    inference(factor,[status(thm)],[30]),
    [iquote('factor,30.1.2')] ).

cnf(88,axiom,
    aNaturalNumber0(sz00),
    file('NUM458+2.p',unknown),
    [] ).

cnf(90,axiom,
    aNaturalNumber0(xm),
    file('NUM458+2.p',unknown),
    [] ).

cnf(317,plain,
    sdtpldt0(xm,sz00) = xm,
    inference(hyper,[status(thm)],[90,6]),
    [iquote('hyper,90,6')] ).

cnf(3834,plain,
    sdtlse_qdt0(xm,xm),
    inference(hyper,[status(thm)],[317,70,90,88]),
    [iquote('hyper,317,70,90,88')] ).

cnf(3835,plain,
    $false,
    inference(binary,[status(thm)],[3834,35]),
    [iquote('binary,3834.1,35.1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : NUM458+2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Jul 27 09:33:36 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.85/2.04  ----- Otter 3.3f, August 2004 -----
% 1.85/2.04  The process was started by sandbox2 on n009.cluster.edu,
% 1.85/2.04  Wed Jul 27 09:33:36 2022
% 1.85/2.04  The command was "./otter".  The process ID is 19364.
% 1.85/2.04  
% 1.85/2.04  set(prolog_style_variables).
% 1.85/2.04  set(auto).
% 1.85/2.04     dependent: set(auto1).
% 1.85/2.04     dependent: set(process_input).
% 1.85/2.04     dependent: clear(print_kept).
% 1.85/2.04     dependent: clear(print_new_demod).
% 1.85/2.04     dependent: clear(print_back_demod).
% 1.85/2.04     dependent: clear(print_back_sub).
% 1.85/2.04     dependent: set(control_memory).
% 1.85/2.04     dependent: assign(max_mem, 12000).
% 1.85/2.04     dependent: assign(pick_given_ratio, 4).
% 1.85/2.04     dependent: assign(stats_level, 1).
% 1.85/2.04     dependent: assign(max_seconds, 10800).
% 1.85/2.04  clear(print_given).
% 1.85/2.04  
% 1.85/2.04  formula_list(usable).
% 1.85/2.04  all A (A=A).
% 1.85/2.04  all W0 (aNaturalNumber0(W0)->$T).
% 1.85/2.04  aNaturalNumber0(sz00).
% 1.85/2.04  aNaturalNumber0(sz10).
% 1.85/2.04  sz10!=sz00.
% 1.85/2.04  all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->aNaturalNumber0(sdtpldt0(W0,W1))).
% 1.85/2.04  all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->aNaturalNumber0(sdtasdt0(W0,W1))).
% 1.85/2.04  all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->sdtpldt0(W0,W1)=sdtpldt0(W1,W0)).
% 1.85/2.04  all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)->sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2))).
% 1.85/2.04  all W0 (aNaturalNumber0(W0)->sdtpldt0(W0,sz00)=W0&W0=sdtpldt0(sz00,W0)).
% 1.85/2.04  all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->sdtasdt0(W0,W1)=sdtasdt0(W1,W0)).
% 1.85/2.04  all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)->sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2))).
% 1.85/2.04  all W0 (aNaturalNumber0(W0)->sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)).
% 1.85/2.04  all W0 (aNaturalNumber0(W0)->sdtasdt0(W0,sz00)=sz00&sz00=sdtasdt0(sz00,W0)).
% 1.85/2.04  all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)->sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))&sdtasdt0(sdtpldt0(W1,W2),W0)=sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0))).
% 1.85/2.04  all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (sdtpldt0(W0,W1)=sdtpldt0(W0,W2)|sdtpldt0(W1,W0)=sdtpldt0(W2,W0)->W1=W2)).
% 1.85/2.04  all W0 (aNaturalNumber0(W0)-> (W0!=sz00-> (all W1 W2 (aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (sdtasdt0(W0,W1)=sdtasdt0(W0,W2)|sdtasdt0(W1,W0)=sdtasdt0(W2,W0)->W1=W2))))).
% 1.85/2.04  all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtpldt0(W0,W1)=sz00->W0=sz00&W1=sz00)).
% 1.85/2.04  all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtasdt0(W0,W1)=sz00->W0=sz00|W1=sz00)).
% 1.85/2.04  all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtlse_qdt0(W0,W1)<-> (exists W2 (aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))).
% 1.85/2.04  all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtlse_qdt0(W0,W1)-> (all W2 (W2=sdtmndt0(W1,W0)<->aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))).
% 1.85/2.04  aNaturalNumber0(xm).
% 1.85/2.04  -((exists W0 (aNaturalNumber0(W0)&sdtpldt0(xm,W0)=xm))|sdtlse_qdt0(xm,xm)).
% 1.85/2.04  end_of_list.
% 1.85/2.04  
% 1.85/2.04  -------> usable clausifies to:
% 1.85/2.04  
% 1.85/2.04  list(usable).
% 1.85/2.04  0 [] A=A.
% 1.85/2.04  0 [] -aNaturalNumber0(W0)|$T.
% 1.85/2.04  0 [] aNaturalNumber0(sz00).
% 1.85/2.04  0 [] aNaturalNumber0(sz10).
% 1.85/2.04  0 [] sz10!=sz00.
% 1.85/2.04  0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|aNaturalNumber0(sdtpldt0(W0,W1)).
% 1.85/2.04  0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|aNaturalNumber0(sdtasdt0(W0,W1)).
% 1.85/2.04  0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtpldt0(W0,W1)=sdtpldt0(W1,W0).
% 1.85/2.04  0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2)).
% 1.85/2.04  0 [] -aNaturalNumber0(W0)|sdtpldt0(W0,sz00)=W0.
% 1.85/2.04  0 [] -aNaturalNumber0(W0)|W0=sdtpldt0(sz00,W0).
% 1.85/2.04  0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtasdt0(W0,W1)=sdtasdt0(W1,W0).
% 1.85/2.04  0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2)).
% 1.85/2.04  0 [] -aNaturalNumber0(W0)|sdtasdt0(W0,sz10)=W0.
% 1.85/2.04  0 [] -aNaturalNumber0(W0)|W0=sdtasdt0(sz10,W0).
% 1.85/2.04  0 [] -aNaturalNumber0(W0)|sdtasdt0(W0,sz00)=sz00.
% 1.85/2.04  0 [] -aNaturalNumber0(W0)|sz00=sdtasdt0(sz00,W0).
% 1.85/2.04  0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)).
% 1.85/2.04  0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(sdtpldt0(W1,W2),W0)=sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)).
% 1.85/2.04  0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtpldt0(W0,W1)!=sdtpldt0(W0,W2)|W1=W2.
% 1.85/2.04  0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtpldt0(W1,W0)!=sdtpldt0(W2,W0)|W1=W2.
% 1.85/2.04  0 [] -aNaturalNumber0(W0)|W0=sz00| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(W0,W1)!=sdtasdt0(W0,W2)|W1=W2.
% 1.85/2.04  0 [] -aNaturalNumber0(W0)|W0=sz00| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(W1,W0)!=sdtasdt0(W2,W0)|W1=W2.
% 1.85/2.04  0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtpldt0(W0,W1)!=sz00|W0=sz00.
% 1.85/2.04  0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtpldt0(W0,W1)!=sz00|W1=sz00.
% 1.85/2.04  0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtasdt0(W0,W1)!=sz00|W0=sz00|W1=sz00.
% 1.85/2.04  0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|aNaturalNumber0($f1(W0,W1)).
% 1.85/2.04  0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|sdtpldt0(W0,$f1(W0,W1))=W1.
% 1.85/2.04  0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtpldt0(W0,W2)!=W1.
% 1.85/2.04  0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|W2!=sdtmndt0(W1,W0)|aNaturalNumber0(W2).
% 1.85/2.04  0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|W2!=sdtmndt0(W1,W0)|sdtpldt0(W0,W2)=W1.
% 1.85/2.04  0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|W2=sdtmndt0(W1,W0)| -aNaturalNumber0(W2)|sdtpldt0(W0,W2)!=W1.
% 1.85/2.04  0 [] aNaturalNumber0(xm).
% 1.85/2.04  0 [] -aNaturalNumber0(W0)|sdtpldt0(xm,W0)!=xm.
% 1.85/2.04  0 [] -sdtlse_qdt0(xm,xm).
% 1.85/2.04  end_of_list.
% 1.85/2.04  
% 1.85/2.04  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 1.85/2.04  
% 1.85/2.04  This ia a non-Horn set with equality.  The strategy will be
% 1.85/2.04  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.85/2.04  deletion, with positive clauses in sos and nonpositive
% 1.85/2.04  clauses in usable.
% 1.85/2.04  
% 1.85/2.04     dependent: set(knuth_bendix).
% 1.85/2.04     dependent: set(anl_eq).
% 1.85/2.04     dependent: set(para_from).
% 1.85/2.04     dependent: set(para_into).
% 1.85/2.04     dependent: clear(para_from_right).
% 1.85/2.04     dependent: clear(para_into_right).
% 1.85/2.04     dependent: set(para_from_vars).
% 1.85/2.04     dependent: set(eq_units_both_ways).
% 1.85/2.04     dependent: set(dynamic_demod_all).
% 1.85/2.04     dependent: set(dynamic_demod).
% 1.85/2.04     dependent: set(order_eq).
% 1.85/2.04     dependent: set(back_demod).
% 1.85/2.04     dependent: set(lrpo).
% 1.85/2.04     dependent: set(hyper_res).
% 1.85/2.04     dependent: set(unit_deletion).
% 1.85/2.04     dependent: set(factor).
% 1.85/2.04  
% 1.85/2.04  ------------> process usable:
% 1.85/2.04  ** KEPT (pick-wt=3): 1 [] sz10!=sz00.
% 1.85/2.04  ** KEPT (pick-wt=8): 2 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|aNaturalNumber0(sdtpldt0(A,B)).
% 1.85/2.04  ** KEPT (pick-wt=8): 3 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|aNaturalNumber0(sdtasdt0(A,B)).
% 1.85/2.04  ** KEPT (pick-wt=11): 4 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtpldt0(A,B)=sdtpldt0(B,A).
% 1.85/2.04  ** KEPT (pick-wt=17): 5 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(sdtpldt0(A,B),C)=sdtpldt0(A,sdtpldt0(B,C)).
% 1.85/2.04  ** KEPT (pick-wt=7): 6 [] -aNaturalNumber0(A)|sdtpldt0(A,sz00)=A.
% 1.85/2.04  ** KEPT (pick-wt=7): 8 [copy,7,flip.2] -aNaturalNumber0(A)|sdtpldt0(sz00,A)=A.
% 1.85/2.04  ** KEPT (pick-wt=11): 9 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtasdt0(A,B)=sdtasdt0(B,A).
% 1.85/2.04  ** KEPT (pick-wt=17): 10 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtasdt0(sdtasdt0(A,B),C)=sdtasdt0(A,sdtasdt0(B,C)).
% 1.85/2.04  ** KEPT (pick-wt=7): 11 [] -aNaturalNumber0(A)|sdtasdt0(A,sz10)=A.
% 1.85/2.04  ** KEPT (pick-wt=7): 13 [copy,12,flip.2] -aNaturalNumber0(A)|sdtasdt0(sz10,A)=A.
% 1.85/2.04  ** KEPT (pick-wt=7): 14 [] -aNaturalNumber0(A)|sdtasdt0(A,sz00)=sz00.
% 1.85/2.04  ** KEPT (pick-wt=7): 16 [copy,15,flip.2] -aNaturalNumber0(A)|sdtasdt0(sz00,A)=sz00.
% 1.85/2.04  ** KEPT (pick-wt=19): 18 [copy,17,flip.4] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(sdtasdt0(A,B),sdtasdt0(A,C))=sdtasdt0(A,sdtpldt0(B,C)).
% 1.85/2.04  ** KEPT (pick-wt=19): 20 [copy,19,flip.4] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(sdtasdt0(B,A),sdtasdt0(C,A))=sdtasdt0(sdtpldt0(B,C),A).
% 1.85/2.04  ** KEPT (pick-wt=16): 21 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(A,B)!=sdtpldt0(A,C)|B=C.
% 1.85/2.04  ** KEPT (pick-wt=16): 22 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(B,A)!=sdtpldt0(C,A)|B=C.
% 1.85/2.04  ** KEPT (pick-wt=19): 23 [] -aNaturalNumber0(A)|A=sz00| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtasdt0(A,B)!=sdtasdt0(A,C)|B=C.
% 2.14/2.33  ** KEPT (pick-wt=19): 24 [] -aNaturalNumber0(A)|A=sz00| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtasdt0(B,A)!=sdtasdt0(C,A)|B=C.
% 2.14/2.33  ** KEPT (pick-wt=12): 25 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtpldt0(A,B)!=sz00|A=sz00.
% 2.14/2.33  ** KEPT (pick-wt=12): 26 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtpldt0(A,B)!=sz00|B=sz00.
% 2.14/2.33  ** KEPT (pick-wt=15): 27 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtasdt0(A,B)!=sz00|A=sz00|B=sz00.
% 2.14/2.33  ** KEPT (pick-wt=11): 28 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|aNaturalNumber0($f1(A,B)).
% 2.14/2.33  ** KEPT (pick-wt=14): 29 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|sdtpldt0(A,$f1(A,B))=B.
% 2.14/2.33  ** KEPT (pick-wt=14): 30 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtlse_qdt0(A,B)| -aNaturalNumber0(C)|sdtpldt0(A,C)!=B.
% 2.14/2.33  ** KEPT (pick-wt=14): 31 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|C!=sdtmndt0(B,A)|aNaturalNumber0(C).
% 2.14/2.33  ** KEPT (pick-wt=17): 32 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|C!=sdtmndt0(B,A)|sdtpldt0(A,C)=B.
% 2.14/2.33  ** KEPT (pick-wt=19): 33 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|C=sdtmndt0(B,A)| -aNaturalNumber0(C)|sdtpldt0(A,C)!=B.
% 2.14/2.33  ** KEPT (pick-wt=7): 34 [] -aNaturalNumber0(A)|sdtpldt0(xm,A)!=xm.
% 2.14/2.33  ** KEPT (pick-wt=3): 35 [] -sdtlse_qdt0(xm,xm).
% 2.14/2.33  
% 2.14/2.33  ------------> process sos:
% 2.14/2.33  ** KEPT (pick-wt=3): 87 [] A=A.
% 2.14/2.33  ** KEPT (pick-wt=2): 88 [] aNaturalNumber0(sz00).
% 2.14/2.33  ** KEPT (pick-wt=2): 89 [] aNaturalNumber0(sz10).
% 2.14/2.33  ** KEPT (pick-wt=2): 90 [] aNaturalNumber0(xm).
% 2.14/2.33    Following clause subsumed by 87 during input processing: 0 [copy,87,flip.1] A=A.
% 2.14/2.33  87 back subsumes 84.
% 2.14/2.33  87 back subsumes 83.
% 2.14/2.33  87 back subsumes 82.
% 2.14/2.33  87 back subsumes 65.
% 2.14/2.33  87 back subsumes 61.
% 2.14/2.33  87 back subsumes 57.
% 2.14/2.33  87 back subsumes 54.
% 2.14/2.33  87 back subsumes 42.
% 2.14/2.33  87 back subsumes 38.
% 2.14/2.33  
% 2.14/2.33  ======= end of input processing =======
% 2.14/2.33  
% 2.14/2.33  =========== start of search ===========
% 2.14/2.33  
% 2.14/2.33  
% 2.14/2.33  Resetting weight limit to 9.
% 2.14/2.33  
% 2.14/2.33  
% 2.14/2.33  Resetting weight limit to 9.
% 2.14/2.33  
% 2.14/2.33  sos_size=956
% 2.14/2.33  
% 2.14/2.33  -------- PROOF -------- 
% 2.14/2.33  
% 2.14/2.33  ----> UNIT CONFLICT at   0.29 sec ----> 3835 [binary,3834.1,35.1] $F.
% 2.14/2.33  
% 2.14/2.33  Length of proof is 3.  Level of proof is 2.
% 2.14/2.33  
% 2.14/2.33  ---------------- PROOF ----------------
% 2.14/2.33  % SZS status Theorem
% 2.14/2.33  % SZS output start Refutation
% See solution above
% 2.14/2.33  ------------ end of proof -------------
% 2.14/2.33  
% 2.14/2.33  
% 2.14/2.33  Search stopped by max_proofs option.
% 2.14/2.33  
% 2.14/2.33  
% 2.14/2.33  Search stopped by max_proofs option.
% 2.14/2.33  
% 2.14/2.33  ============ end of search ============
% 2.14/2.33  
% 2.14/2.33  -------------- statistics -------------
% 2.14/2.33  clauses given                 32
% 2.14/2.33  clauses generated           9657
% 2.14/2.33  clauses kept                2287
% 2.14/2.33  clauses forward subsumed    5804
% 2.14/2.33  clauses back subsumed         69
% 2.14/2.33  Kbytes malloced             4882
% 2.14/2.33  
% 2.14/2.33  ----------- times (seconds) -----------
% 2.14/2.33  user CPU time          0.29          (0 hr, 0 min, 0 sec)
% 2.14/2.33  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 2.14/2.33  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 2.14/2.33  
% 2.14/2.33  That finishes the proof of the theorem.
% 2.14/2.33  
% 2.14/2.33  Process 19364 finished Wed Jul 27 09:33:38 2022
% 2.14/2.33  Otter interrupted
% 2.14/2.33  PROOF FOUND
%------------------------------------------------------------------------------