TSTP Solution File: NUM484+3 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : NUM484+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n010.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 13:08:32 EDT 2022
% Result : Theorem 2.22s 2.40s
% Output : Refutation 2.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 1
% Syntax : Number of clauses : 2 ( 2 unt; 0 nHn; 2 RR)
% Number of literals : 2 ( 0 equ; 0 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 1 ( 0 usr; 1 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(215,axiom,
$false,
file('NUM484+3.p',unknown),
[] ).
cnf(216,plain,
$false,
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[215])]),
[iquote('copy,215,propositional')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM484+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 09:27:09 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.16/2.36 ----- Otter 3.3f, August 2004 -----
% 2.16/2.36 The process was started by sandbox2 on n010.cluster.edu,
% 2.16/2.36 Wed Jul 27 09:27:10 2022
% 2.16/2.36 The command was "./otter". The process ID is 27815.
% 2.16/2.36
% 2.16/2.36 set(prolog_style_variables).
% 2.16/2.36 set(auto).
% 2.16/2.36 dependent: set(auto1).
% 2.16/2.36 dependent: set(process_input).
% 2.16/2.36 dependent: clear(print_kept).
% 2.16/2.36 dependent: clear(print_new_demod).
% 2.16/2.36 dependent: clear(print_back_demod).
% 2.16/2.36 dependent: clear(print_back_sub).
% 2.16/2.36 dependent: set(control_memory).
% 2.16/2.36 dependent: assign(max_mem, 12000).
% 2.16/2.36 dependent: assign(pick_given_ratio, 4).
% 2.16/2.36 dependent: assign(stats_level, 1).
% 2.16/2.36 dependent: assign(max_seconds, 10800).
% 2.16/2.36 clear(print_given).
% 2.16/2.36
% 2.16/2.36 formula_list(usable).
% 2.16/2.36 all A (A=A).
% 2.16/2.36 all W0 (aNaturalNumber0(W0)->$T).
% 2.16/2.36 aNaturalNumber0(sz00).
% 2.16/2.36 aNaturalNumber0(sz10).
% 2.16/2.36 sz10!=sz00.
% 2.16/2.36 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->aNaturalNumber0(sdtpldt0(W0,W1))).
% 2.16/2.36 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->aNaturalNumber0(sdtasdt0(W0,W1))).
% 2.16/2.36 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->sdtpldt0(W0,W1)=sdtpldt0(W1,W0)).
% 2.16/2.36 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)->sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2))).
% 2.16/2.36 all W0 (aNaturalNumber0(W0)->sdtpldt0(W0,sz00)=W0&W0=sdtpldt0(sz00,W0)).
% 2.16/2.36 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->sdtasdt0(W0,W1)=sdtasdt0(W1,W0)).
% 2.16/2.36 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)->sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2))).
% 2.16/2.36 all W0 (aNaturalNumber0(W0)->sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)).
% 2.16/2.36 all W0 (aNaturalNumber0(W0)->sdtasdt0(W0,sz00)=sz00&sz00=sdtasdt0(sz00,W0)).
% 2.16/2.36 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))).
% 2.16/2.36 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (sdtpldt0(W0,W1)=sdtpldt0(W0,W2)|sdtpldt0(W1,W0)=sdtpldt0(W2,W0)->W1=W2)).
% 2.16/2.36 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))))).
% 2.16/2.36 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtpldt0(W0,W1)=sz00->W0=sz00&W1=sz00)).
% 2.16/2.36 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtasdt0(W0,W1)=sz00->W0=sz00|W1=sz00)).
% 2.16/2.36 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtlse_qdt0(W0,W1)<-> (exists W2 (aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))).
% 2.16/2.36 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtlse_qdt0(W0,W1)-> (all W2 (W2=sdtmndt0(W1,W0)<->aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))).
% 2.16/2.36 all W0 (aNaturalNumber0(W0)->sdtlse_qdt0(W0,W0)).
% 2.16/2.36 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtlse_qdt0(W0,W1)&sdtlse_qdt0(W1,W0)->W0=W1)).
% 2.16/2.36 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (sdtlse_qdt0(W0,W1)&sdtlse_qdt0(W1,W2)->sdtlse_qdt0(W0,W2))).
% 2.16/2.36 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->sdtlse_qdt0(W0,W1)|W1!=W0&sdtlse_qdt0(W1,W0)).
% 2.16/2.36 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (W0!=W1&sdtlse_qdt0(W0,W1)-> (all W2 (aNaturalNumber0(W2)->sdtpldt0(W2,W0)!=sdtpldt0(W2,W1)&sdtlse_qdt0(sdtpldt0(W2,W0),sdtpldt0(W2,W1))&sdtpldt0(W0,W2)!=sdtpldt0(W1,W2)&sdtlse_qdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W2)))))).
% 2.16/2.36 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (W0!=sz00&W1!=W2&sdtlse_qdt0(W1,W2)->sdtasdt0(W0,W1)!=sdtasdt0(W0,W2)&sdtlse_qdt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))&sdtasdt0(W1,W0)!=sdtasdt0(W2,W0)&sdtlse_qdt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)))).
% 2.16/2.36 all W0 (aNaturalNumber0(W0)->W0=sz00|W0=sz10|sz10!=W0&sdtlse_qdt0(sz10,W0)).
% 2.16/2.36 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (W0!=sz00->sdtlse_qdt0(W1,sdtasdt0(W1,W0)))).
% 2.16/2.36 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (iLess0(W0,W1)->$T)).
% 2.16/2.36 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (W0!=W1&sdtlse_qdt0(W0,W1)->iLess0(W0,W1))).
% 2.16/2.36 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (doDivides0(W0,W1)<-> (exists W2 (aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2))))).
% 2.16/2.36 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (W0!=sz00&doDivides0(W0,W1)-> (all W2 (W2=sdtsldt0(W1,W0)<->aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2))))).
% 2.16/2.36 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (doDivides0(W0,W1)&doDivides0(W1,W2)->doDivides0(W0,W2))).
% 2.16/2.36 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (doDivides0(W0,W1)&doDivides0(W0,W2)->doDivides0(W0,sdtpldt0(W1,W2)))).
% 2.16/2.36 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (doDivides0(W0,W1)&doDivides0(W0,sdtpldt0(W1,W2))->doDivides0(W0,W2))).
% 2.16/2.36 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (doDivides0(W0,W1)&W1!=sz00->sdtlse_qdt0(W0,W1))).
% 2.16/2.36 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (W0!=sz00&doDivides0(W0,W1)-> (all W2 (aNaturalNumber0(W2)->sdtasdt0(W2,sdtsldt0(W1,W0))=sdtsldt0(sdtasdt0(W2,W1),W0))))).
% 2.16/2.36 all W0 (aNaturalNumber0(W0)-> (isPrime0(W0)<->W0!=sz00&W0!=sz10& (all W1 (aNaturalNumber0(W1)&doDivides0(W1,W0)->W1=sz10|W1=W0)))).
% 2.16/2.36 aNaturalNumber0(xk).
% 2.16/2.36 all W0 (aNaturalNumber0(W0)&W0!=sz00&W0!=sz10-> (iLess0(W0,xk)-> (exists W1 (aNaturalNumber0(W1)& (exists W2 (aNaturalNumber0(W2)&W0=sdtasdt0(W1,W2)))&doDivides0(W1,W0)&W1!=sz00&W1!=sz10& (all W2 (aNaturalNumber0(W2)& ((exists W3 (aNaturalNumber0(W3)&W1=sdtasdt0(W2,W3)))|doDivides0(W2,W1))->W2=sz10|W2=W1))&isPrime0(W1))))).
% 2.16/2.36 xk!=sz00.
% 2.16/2.36 xk!=sz10.
% 2.16/2.36 -((all W0 (aNaturalNumber0(W0)& (exists W1 (aNaturalNumber0(W1)&xk=sdtasdt0(W0,W1)))&doDivides0(W0,xk)->W0=sz10|W0=xk))|isPrime0(xk)).
% 2.16/2.36 -(-$F).
% 2.16/2.36 -(exists W0 (aNaturalNumber0(W0)& ((exists W1 (aNaturalNumber0(W1)&xk=sdtasdt0(W0,W1)))|doDivides0(W0,xk))& (W0!=sz00&W0!=sz10& (all W1 (aNaturalNumber0(W1)& (exists W2 (aNaturalNumber0(W2)&W0=sdtasdt0(W1,W2)))&doDivides0(W1,W0)->W1=sz10|W1=W0))|isPrime0(W0)))).
% 2.16/2.36 end_of_list.
% 2.16/2.36
% 2.16/2.36 -------> usable clausifies to:
% 2.16/2.36
% 2.16/2.36 list(usable).
% 2.16/2.36 0 [] A=A.
% 2.16/2.36 0 [] -aNaturalNumber0(W0)|$T.
% 2.16/2.36 0 [] aNaturalNumber0(sz00).
% 2.16/2.36 0 [] aNaturalNumber0(sz10).
% 2.16/2.36 0 [] sz10!=sz00.
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|aNaturalNumber0(sdtpldt0(W0,W1)).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|aNaturalNumber0(sdtasdt0(W0,W1)).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtpldt0(W0,W1)=sdtpldt0(W1,W0).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2)).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)|sdtpldt0(W0,sz00)=W0.
% 2.16/2.36 0 [] -aNaturalNumber0(W0)|W0=sdtpldt0(sz00,W0).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtasdt0(W0,W1)=sdtasdt0(W1,W0).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2)).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)|sdtasdt0(W0,sz10)=W0.
% 2.16/2.36 0 [] -aNaturalNumber0(W0)|W0=sdtasdt0(sz10,W0).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)|sdtasdt0(W0,sz00)=sz00.
% 2.16/2.36 0 [] -aNaturalNumber0(W0)|sz00=sdtasdt0(sz00,W0).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(sdtpldt0(W1,W2),W0)=sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtpldt0(W0,W1)!=sdtpldt0(W0,W2)|W1=W2.
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtpldt0(W1,W0)!=sdtpldt0(W2,W0)|W1=W2.
% 2.16/2.36 0 [] -aNaturalNumber0(W0)|W0=sz00| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(W0,W1)!=sdtasdt0(W0,W2)|W1=W2.
% 2.16/2.36 0 [] -aNaturalNumber0(W0)|W0=sz00| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(W1,W0)!=sdtasdt0(W2,W0)|W1=W2.
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtpldt0(W0,W1)!=sz00|W0=sz00.
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtpldt0(W0,W1)!=sz00|W1=sz00.
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtasdt0(W0,W1)!=sz00|W0=sz00|W1=sz00.
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|aNaturalNumber0($f1(W0,W1)).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|sdtpldt0(W0,$f1(W0,W1))=W1.
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtpldt0(W0,W2)!=W1.
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|W2!=sdtmndt0(W1,W0)|aNaturalNumber0(W2).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|W2!=sdtmndt0(W1,W0)|sdtpldt0(W0,W2)=W1.
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|W2=sdtmndt0(W1,W0)| -aNaturalNumber0(W2)|sdtpldt0(W0,W2)!=W1.
% 2.16/2.36 0 [] -aNaturalNumber0(W0)|sdtlse_qdt0(W0,W0).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)| -sdtlse_qdt0(W1,W0)|W0=W1.
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)| -sdtlse_qdt0(W0,W1)| -sdtlse_qdt0(W1,W2)|sdtlse_qdt0(W0,W2).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtlse_qdt0(W0,W1)|W1!=W0.
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtlse_qdt0(W0,W1)|sdtlse_qdt0(W1,W0).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtpldt0(W2,W0)!=sdtpldt0(W2,W1).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtlse_qdt0(sdtpldt0(W2,W0),sdtpldt0(W2,W1)).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtpldt0(W0,W2)!=sdtpldt0(W1,W2).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtlse_qdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W2)).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=W2| -sdtlse_qdt0(W1,W2)|sdtasdt0(W0,W1)!=sdtasdt0(W0,W2).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=W2| -sdtlse_qdt0(W1,W2)|sdtlse_qdt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=W2| -sdtlse_qdt0(W1,W2)|sdtasdt0(W1,W0)!=sdtasdt0(W2,W0).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=W2| -sdtlse_qdt0(W1,W2)|sdtlse_qdt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=sz10|sz10!=W0.
% 2.16/2.36 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=sz10|sdtlse_qdt0(sz10,W0).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=sz00|sdtlse_qdt0(W1,sdtasdt0(W1,W0)).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -iLess0(W0,W1)|$T.
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)|iLess0(W0,W1).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -doDivides0(W0,W1)|aNaturalNumber0($f2(W0,W1)).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -doDivides0(W0,W1)|W1=sdtasdt0(W0,$f2(W0,W1)).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|doDivides0(W0,W1)| -aNaturalNumber0(W2)|W1!=sdtasdt0(W0,W2).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=sz00| -doDivides0(W0,W1)|W2!=sdtsldt0(W1,W0)|aNaturalNumber0(W2).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=sz00| -doDivides0(W0,W1)|W2!=sdtsldt0(W1,W0)|W1=sdtasdt0(W0,W2).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=sz00| -doDivides0(W0,W1)|W2=sdtsldt0(W1,W0)| -aNaturalNumber0(W2)|W1!=sdtasdt0(W0,W2).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)| -doDivides0(W0,W1)| -doDivides0(W1,W2)|doDivides0(W0,W2).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)| -doDivides0(W0,W1)| -doDivides0(W0,W2)|doDivides0(W0,sdtpldt0(W1,W2)).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)| -doDivides0(W0,W1)| -doDivides0(W0,sdtpldt0(W1,W2))|doDivides0(W0,W2).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -doDivides0(W0,W1)|W1=sz00|sdtlse_qdt0(W0,W1).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=sz00| -doDivides0(W0,W1)| -aNaturalNumber0(W2)|sdtasdt0(W2,sdtsldt0(W1,W0))=sdtsldt0(sdtasdt0(W2,W1),W0).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -isPrime0(W0)|W0!=sz00.
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -isPrime0(W0)|W0!=sz10.
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -isPrime0(W0)| -aNaturalNumber0(W1)| -doDivides0(W1,W0)|W1=sz10|W1=W0.
% 2.16/2.36 0 [] -aNaturalNumber0(W0)|isPrime0(W0)|W0=sz00|W0=sz10|aNaturalNumber0($f3(W0)).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)|isPrime0(W0)|W0=sz00|W0=sz10|doDivides0($f3(W0),W0).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)|isPrime0(W0)|W0=sz00|W0=sz10|$f3(W0)!=sz10.
% 2.16/2.36 0 [] -aNaturalNumber0(W0)|isPrime0(W0)|W0=sz00|W0=sz10|$f3(W0)!=W0.
% 2.16/2.36 0 [] aNaturalNumber0(xk).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=sz10| -iLess0(W0,xk)|aNaturalNumber0($f5(W0)).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=sz10| -iLess0(W0,xk)|aNaturalNumber0($f4(W0)).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=sz10| -iLess0(W0,xk)|W0=sdtasdt0($f5(W0),$f4(W0)).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=sz10| -iLess0(W0,xk)|doDivides0($f5(W0),W0).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=sz10| -iLess0(W0,xk)|$f5(W0)!=sz00.
% 2.16/2.36 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=sz10| -iLess0(W0,xk)|$f5(W0)!=sz10.
% 2.16/2.36 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=sz10| -iLess0(W0,xk)| -aNaturalNumber0(W2)| -aNaturalNumber0(W3)|$f5(W0)!=sdtasdt0(W2,W3)|W2=sz10|W2=$f5(W0).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=sz10| -iLess0(W0,xk)| -aNaturalNumber0(W2)| -doDivides0(W2,$f5(W0))|W2=sz10|W2=$f5(W0).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=sz10| -iLess0(W0,xk)|isPrime0($f5(W0)).
% 2.16/2.36 0 [] xk!=sz00.
% 2.16/2.36 0 [] xk!=sz10.
% 2.16/2.36 0 [] aNaturalNumber0($c2).
% 2.16/2.36 0 [] aNaturalNumber0($c1).
% 2.16/2.36 0 [] xk=sdtasdt0($c2,$c1).
% 2.16/2.36 0 [] doDivides0($c2,xk).
% 2.16/2.36 0 [] $c2!=sz10.
% 2.16/2.36 0 [] $c2!=xk.
% 2.16/2.36 0 [] -isPrime0(xk).
% 2.16/2.36 0 [] $F.
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|xk!=sdtasdt0(W0,W1)|W0=sz00|W0=sz10|aNaturalNumber0($f7(W0)).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|xk!=sdtasdt0(W0,W1)|W0=sz00|W0=sz10|aNaturalNumber0($f6(W0)).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|xk!=sdtasdt0(W0,W1)|W0=sz00|W0=sz10|W0=sdtasdt0($f7(W0),$f6(W0)).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|xk!=sdtasdt0(W0,W1)|W0=sz00|W0=sz10|doDivides0($f7(W0),W0).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|xk!=sdtasdt0(W0,W1)|W0=sz00|W0=sz10|$f7(W0)!=sz10.
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|xk!=sdtasdt0(W0,W1)|W0=sz00|W0=sz10|$f7(W0)!=W0.
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|xk!=sdtasdt0(W0,W1)| -isPrime0(W0).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -doDivides0(W0,xk)|W0=sz00|W0=sz10|aNaturalNumber0($f7(W0)).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -doDivides0(W0,xk)|W0=sz00|W0=sz10|aNaturalNumber0($f6(W0)).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -doDivides0(W0,xk)|W0=sz00|W0=sz10|W0=sdtasdt0($f7(W0),$f6(W0)).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -doDivides0(W0,xk)|W0=sz00|W0=sz10|doDivides0($f7(W0),W0).
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -doDivides0(W0,xk)|W0=sz00|W0=sz10|$f7(W0)!=sz10.
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -doDivides0(W0,xk)|W0=sz00|W0=sz10|$f7(W0)!=W0.
% 2.16/2.36 0 [] -aNaturalNumber0(W0)| -doDivides0(W0,xk)| -isPrime0(W0).
% 2.16/2.36 end_of_list.
% 2.16/2.36
% 2.16/2.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=9.
% 2.16/2.36
% 2.16/2.36 This ia a non-Horn set with equality. The strategy will be
% 2.16/2.36 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.16/2.36 deletion, with positive clauses in sos and nonpositive
% 2.16/2.36 clauses in usable.
% 2.16/2.36
% 2.16/2.36 dependent: set(knuth_bendix).
% 2.16/2.36 dependent: set(anl_eq).
% 2.16/2.36 dependent: set(para_from).
% 2.16/2.36 dependent: set(para_into).
% 2.16/2.36 dependent: clear(para_from_right).
% 2.16/2.36 dependent: clear(para_into_right).
% 2.16/2.36 dependent: set(para_from_vars).
% 2.16/2.36 dependent: set(eq_units_both_ways).
% 2.16/2.36 dependent: set(dynamic_demod_all).
% 2.16/2.36 dependent: set(dynamic_demod).
% 2.16/2.36 dependent: set(order_eq).
% 2.16/2.36 dependent: set(back_demod).
% 2.16/2.36 dependent: set(lrpo).
% 2.16/2.36 dependent: set(hyper_res).
% 2.16/2.36 dependent: set(unit_deletion).
% 2.16/2.36 dependent: set(factor).
% 2.16/2.36
% 2.16/2.36 ------------> process usable:
% 2.16/2.36 ** KEPT (pick-wt=3): 1 [] sz10!=sz00.
% 2.16/2.36 ** KEPT (pick-wt=8): 2 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|aNaturalNumber0(sdtpldt0(A,B)).
% 2.16/2.36 ** KEPT (pick-wt=8): 3 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|aNaturalNumber0(sdtasdt0(A,B)).
% 2.16/2.36 ** KEPT (pick-wt=11): 4 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtpldt0(A,B)=sdtpldt0(B,A).
% 2.16/2.36 ** KEPT (pick-wt=17): 5 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(sdtpldt0(A,B),C)=sdtpldt0(A,sdtpldt0(B,C)).
% 2.16/2.36 ** KEPT (pick-wt=7): 6 [] -aNaturalNumber0(A)|sdtpldt0(A,sz00)=A.
% 2.16/2.36 ** KEPT (pick-wt=7): 8 [copy,7,flip.2] -aNaturalNumber0(A)|sdtpldt0(sz00,A)=A.
% 2.16/2.36 ** KEPT (pick-wt=11): 9 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtasdt0(A,B)=sdtasdt0(B,A).
% 2.16/2.36 ** KEPT (pick-wt=17): 10 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtasdt0(sdtasdt0(A,B),C)=sdtasdt0(A,sdtasdt0(B,C)).
% 2.16/2.36 ** KEPT (pick-wt=7): 11 [] -aNaturalNumber0(A)|sdtasdt0(A,sz10)=A.
% 2.16/2.36 ** KEPT (pick-wt=7): 13 [copy,12,flip.2] -aNaturalNumber0(A)|sdtasdt0(sz10,A)=A.
% 2.21/2.37 ** KEPT (pick-wt=7): 14 [] -aNaturalNumber0(A)|sdtasdt0(A,sz00)=sz00.
% 2.21/2.37 ** KEPT (pick-wt=7): 16 [copy,15,flip.2] -aNaturalNumber0(A)|sdtasdt0(sz00,A)=sz00.
% 2.21/2.37 ** 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)).
% 2.21/2.37 ** 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).
% 2.21/2.37 ** KEPT (pick-wt=16): 21 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(A,B)!=sdtpldt0(A,C)|B=C.
% 2.21/2.37 ** KEPT (pick-wt=16): 22 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(B,A)!=sdtpldt0(C,A)|B=C.
% 2.21/2.37 ** KEPT (pick-wt=19): 23 [] -aNaturalNumber0(A)|A=sz00| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtasdt0(A,B)!=sdtasdt0(A,C)|B=C.
% 2.21/2.37 ** KEPT (pick-wt=19): 24 [] -aNaturalNumber0(A)|A=sz00| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtasdt0(B,A)!=sdtasdt0(C,A)|B=C.
% 2.21/2.37 ** KEPT (pick-wt=12): 25 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtpldt0(A,B)!=sz00|A=sz00.
% 2.21/2.37 ** KEPT (pick-wt=12): 26 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtpldt0(A,B)!=sz00|B=sz00.
% 2.21/2.37 ** KEPT (pick-wt=15): 27 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtasdt0(A,B)!=sz00|A=sz00|B=sz00.
% 2.21/2.37 ** KEPT (pick-wt=11): 28 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|aNaturalNumber0($f1(A,B)).
% 2.21/2.37 ** KEPT (pick-wt=14): 29 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|sdtpldt0(A,$f1(A,B))=B.
% 2.21/2.37 ** KEPT (pick-wt=14): 30 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtlse_qdt0(A,B)| -aNaturalNumber0(C)|sdtpldt0(A,C)!=B.
% 2.21/2.37 ** KEPT (pick-wt=14): 31 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|C!=sdtmndt0(B,A)|aNaturalNumber0(C).
% 2.21/2.37 ** KEPT (pick-wt=17): 32 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|C!=sdtmndt0(B,A)|sdtpldt0(A,C)=B.
% 2.21/2.37 ** KEPT (pick-wt=19): 33 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|C=sdtmndt0(B,A)| -aNaturalNumber0(C)|sdtpldt0(A,C)!=B.
% 2.21/2.37 ** KEPT (pick-wt=5): 34 [] -aNaturalNumber0(A)|sdtlse_qdt0(A,A).
% 2.21/2.37 ** KEPT (pick-wt=13): 35 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)| -sdtlse_qdt0(B,A)|A=B.
% 2.21/2.37 ** KEPT (pick-wt=15): 36 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)| -sdtlse_qdt0(A,B)| -sdtlse_qdt0(B,C)|sdtlse_qdt0(A,C).
% 2.21/2.37 ** KEPT (pick-wt=10): 37 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtlse_qdt0(A,B)|B!=A.
% 2.21/2.37 ** KEPT (pick-wt=10): 38 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtlse_qdt0(A,B)|sdtlse_qdt0(B,A).
% 2.21/2.37 Following clause subsumed by 21 during input processing: 0 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=B| -sdtlse_qdt0(A,B)| -aNaturalNumber0(C)|sdtpldt0(C,A)!=sdtpldt0(C,B).
% 2.21/2.37 ** KEPT (pick-wt=19): 39 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=B| -sdtlse_qdt0(A,B)| -aNaturalNumber0(C)|sdtlse_qdt0(sdtpldt0(C,A),sdtpldt0(C,B)).
% 2.21/2.37 Following clause subsumed by 22 during input processing: 0 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=B| -sdtlse_qdt0(A,B)| -aNaturalNumber0(C)|sdtpldt0(A,C)!=sdtpldt0(B,C).
% 2.21/2.37 ** KEPT (pick-wt=19): 40 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=B| -sdtlse_qdt0(A,B)| -aNaturalNumber0(C)|sdtlse_qdt0(sdtpldt0(A,C),sdtpldt0(B,C)).
% 2.21/2.37 Following clause subsumed by 23 during input processing: 0 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|A=sz00|B=C| -sdtlse_qdt0(B,C)|sdtasdt0(A,B)!=sdtasdt0(A,C).
% 2.21/2.37 ** KEPT (pick-wt=22): 41 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|A=sz00|B=C| -sdtlse_qdt0(B,C)|sdtlse_qdt0(sdtasdt0(A,B),sdtasdt0(A,C)).
% 2.21/2.37 Following clause subsumed by 24 during input processing: 0 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|A=sz00|B=C| -sdtlse_qdt0(B,C)|sdtasdt0(B,A)!=sdtasdt0(C,A).
% 2.21/2.37 ** KEPT (pick-wt=22): 42 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|A=sz00|B=C| -sdtlse_qdt0(B,C)|sdtlse_qdt0(sdtasdt0(B,A),sdtasdt0(C,A)).
% 2.21/2.37 ** KEPT (pick-wt=11): 43 [] -aNaturalNumber0(A)|A=sz00|A=sz10|sz10!=A.
% 2.21/2.37 ** KEPT (pick-wt=11): 44 [] -aNaturalNumber0(A)|A=sz00|A=sz10|sdtlse_qdt0(sz10,A).
% 2.22/2.40 ** KEPT (pick-wt=12): 45 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=sz00|sdtlse_qdt0(B,sdtasdt0(B,A)).
% 2.22/2.40 ** KEPT (pick-wt=13): 46 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=B| -sdtlse_qdt0(A,B)|iLess0(A,B).
% 2.22/2.40 ** KEPT (pick-wt=11): 47 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -doDivides0(A,B)|aNaturalNumber0($f2(A,B)).
% 2.22/2.40 ** KEPT (pick-wt=14): 49 [copy,48,flip.4] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -doDivides0(A,B)|sdtasdt0(A,$f2(A,B))=B.
% 2.22/2.40 ** KEPT (pick-wt=14): 50 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|doDivides0(A,B)| -aNaturalNumber0(C)|B!=sdtasdt0(A,C).
% 2.22/2.40 ** KEPT (pick-wt=17): 51 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=sz00| -doDivides0(A,B)|C!=sdtsldt0(B,A)|aNaturalNumber0(C).
% 2.22/2.40 ** KEPT (pick-wt=20): 52 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=sz00| -doDivides0(A,B)|C!=sdtsldt0(B,A)|B=sdtasdt0(A,C).
% 2.22/2.40 ** KEPT (pick-wt=22): 53 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=sz00| -doDivides0(A,B)|C=sdtsldt0(B,A)| -aNaturalNumber0(C)|B!=sdtasdt0(A,C).
% 2.22/2.40 ** KEPT (pick-wt=15): 54 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)| -doDivides0(A,B)| -doDivides0(B,C)|doDivides0(A,C).
% 2.22/2.40 ** KEPT (pick-wt=17): 55 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)| -doDivides0(A,B)| -doDivides0(A,C)|doDivides0(A,sdtpldt0(B,C)).
% 2.22/2.40 ** KEPT (pick-wt=17): 56 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)| -doDivides0(A,B)| -doDivides0(A,sdtpldt0(B,C))|doDivides0(A,C).
% 2.22/2.40 ** KEPT (pick-wt=13): 57 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -doDivides0(A,B)|B=sz00|sdtlse_qdt0(A,B).
% 2.22/2.40 ** KEPT (pick-wt=23): 59 [copy,58,flip.6] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=sz00| -doDivides0(A,B)| -aNaturalNumber0(C)|sdtsldt0(sdtasdt0(C,B),A)=sdtasdt0(C,sdtsldt0(B,A)).
% 2.22/2.40 ** KEPT (pick-wt=7): 60 [] -aNaturalNumber0(A)| -isPrime0(A)|A!=sz00.
% 2.22/2.40 ** KEPT (pick-wt=7): 61 [] -aNaturalNumber0(A)| -isPrime0(A)|A!=sz10.
% 2.22/2.40 ** KEPT (pick-wt=15): 62 [] -aNaturalNumber0(A)| -isPrime0(A)| -aNaturalNumber0(B)| -doDivides0(B,A)|B=sz10|B=A.
% 2.22/2.40 ** KEPT (pick-wt=13): 63 [] -aNaturalNumber0(A)|isPrime0(A)|A=sz00|A=sz10|aNaturalNumber0($f3(A)).
% 2.22/2.40 ** KEPT (pick-wt=14): 64 [] -aNaturalNumber0(A)|isPrime0(A)|A=sz00|A=sz10|doDivides0($f3(A),A).
% 2.22/2.40 ** KEPT (pick-wt=14): 65 [] -aNaturalNumber0(A)|isPrime0(A)|A=sz00|A=sz10|$f3(A)!=sz10.
% 2.22/2.40 ** KEPT (pick-wt=14): 66 [] -aNaturalNumber0(A)|isPrime0(A)|A=sz00|A=sz10|$f3(A)!=A.
% 2.22/2.40 ** KEPT (pick-wt=14): 67 [] -aNaturalNumber0(A)|A=sz00|A=sz10| -iLess0(A,xk)|aNaturalNumber0($f5(A)).
% 2.22/2.40 ** KEPT (pick-wt=14): 68 [] -aNaturalNumber0(A)|A=sz00|A=sz10| -iLess0(A,xk)|aNaturalNumber0($f4(A)).
% 2.22/2.40 ** KEPT (pick-wt=18): 70 [copy,69,flip.5] -aNaturalNumber0(A)|A=sz00|A=sz10| -iLess0(A,xk)|sdtasdt0($f5(A),$f4(A))=A.
% 2.22/2.40 ** KEPT (pick-wt=15): 71 [] -aNaturalNumber0(A)|A=sz00|A=sz10| -iLess0(A,xk)|doDivides0($f5(A),A).
% 2.22/2.40 ** KEPT (pick-wt=15): 72 [] -aNaturalNumber0(A)|A=sz00|A=sz10| -iLess0(A,xk)|$f5(A)!=sz00.
% 2.22/2.40 ** KEPT (pick-wt=15): 73 [] -aNaturalNumber0(A)|A=sz00|A=sz10| -iLess0(A,xk)|$f5(A)!=sz10.
% 2.22/2.40 ** KEPT (pick-wt=28): 74 [] -aNaturalNumber0(A)|A=sz00|A=sz10| -iLess0(A,xk)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|$f5(A)!=sdtasdt0(B,C)|B=sz10|B=$f5(A).
% 2.22/2.40 ** KEPT (pick-wt=24): 75 [] -aNaturalNumber0(A)|A=sz00|A=sz10| -iLess0(A,xk)| -aNaturalNumber0(B)| -doDivides0(B,$f5(A))|B=sz10|B=$f5(A).
% 2.22/2.40 ** KEPT (pick-wt=14): 76 [] -aNaturalNumber0(A)|A=sz00|A=sz10| -iLess0(A,xk)|isPrime0($f5(A)).
% 2.22/2.40 ** KEPT (pick-wt=3): 77 [] xk!=sz00.
% 2.22/2.40 ** KEPT (pick-wt=3): 78 [] xk!=sz10.
% 2.22/2.40 ** KEPT (pick-wt=3): 80 [copy,79,flip.1] sz10!=$c2.
% 2.22/2.40 ** KEPT (pick-wt=3): 82 [copy,81,flip.1] xk!=$c2.
% 2.22/2.40 ** KEPT (pick-wt=2): 83 [] -isPrime0(xk).
% 2.22/2.40 ** KEPT (pick-wt=18): 85 [copy,84,flip.3] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtasdt0(A,B)!=xk|A=sz00|A=sz10|aNaturalNumber0($f7(A)).
% 2.22/2.40 ** KEPT (pick-wt=18): 87 [copy,86,flip.3] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtasdt0(A,B)!=xk|A=sz00|A=sz10|aNaturalNumber0($f6(A)).
% 2.22/2.40 ** KEPT (pick-wt=22): 89 [copy,88,flip.3,flip.6] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtasdt0(A,B)!=xk|A=sz00|A=sz10|sdtasdt0($f7(A),$f6(A))=A.
% 2.22/2.40 ** KEPT (pick-wt=19): 91 [copy,90,flip.3] -aNaturalNumber0(A)| -aNaturalNumber0(
% 2.22/2.40 -------- PROOF --------
% 2.22/2.40 B)|sdtasdt0(A,B)!=xk|A=sz00|A=sz10|doDivides0($f7(A),A).
% 2.22/2.40 ** KEPT (pick-wt=19): 93 [copy,92,flip.3] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtasdt0(A,B)!=xk|A=sz00|A=sz10|$f7(A)!=sz10.
% 2.22/2.40 ** KEPT (pick-wt=19): 95 [copy,94,flip.3] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtasdt0(A,B)!=xk|A=sz00|A=sz10|$f7(A)!=A.
% 2.22/2.40 ** KEPT (pick-wt=11): 97 [copy,96,flip.3] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtasdt0(A,B)!=xk| -isPrime0(A).
% 2.22/2.40 ** KEPT (pick-wt=14): 98 [] -aNaturalNumber0(A)| -doDivides0(A,xk)|A=sz00|A=sz10|aNaturalNumber0($f7(A)).
% 2.22/2.40 ** KEPT (pick-wt=14): 99 [] -aNaturalNumber0(A)| -doDivides0(A,xk)|A=sz00|A=sz10|aNaturalNumber0($f6(A)).
% 2.22/2.40 ** KEPT (pick-wt=18): 101 [copy,100,flip.5] -aNaturalNumber0(A)| -doDivides0(A,xk)|A=sz00|A=sz10|sdtasdt0($f7(A),$f6(A))=A.
% 2.22/2.40 ** KEPT (pick-wt=15): 102 [] -aNaturalNumber0(A)| -doDivides0(A,xk)|A=sz00|A=sz10|doDivides0($f7(A),A).
% 2.22/2.40 ** KEPT (pick-wt=15): 103 [] -aNaturalNumber0(A)| -doDivides0(A,xk)|A=sz00|A=sz10|$f7(A)!=sz10.
% 2.22/2.40 ** KEPT (pick-wt=15): 104 [] -aNaturalNumber0(A)| -doDivides0(A,xk)|A=sz00|A=sz10|$f7(A)!=A.
% 2.22/2.40 ** KEPT (pick-wt=7): 105 [] -aNaturalNumber0(A)| -doDivides0(A,xk)| -isPrime0(A).
% 2.22/2.40
% 2.22/2.40 ------------> process sos:
% 2.22/2.40 ** KEPT (pick-wt=3): 205 [] A=A.
% 2.22/2.40 ** KEPT (pick-wt=2): 206 [] aNaturalNumber0(sz00).
% 2.22/2.40 ** KEPT (pick-wt=2): 207 [] aNaturalNumber0(sz10).
% 2.22/2.40 ** KEPT (pick-wt=2): 208 [] aNaturalNumber0(xk).
% 2.22/2.40 ** KEPT (pick-wt=2): 209 [] aNaturalNumber0($c2).
% 2.22/2.40 ** KEPT (pick-wt=2): 210 [] aNaturalNumber0($c1).
% 2.22/2.40 ** KEPT (pick-wt=5): 212 [copy,211,flip.1] sdtasdt0($c2,$c1)=xk.
% 2.22/2.40 ---> New Demodulator: 213 [new_demod,212] sdtasdt0($c2,$c1)=xk.
% 2.22/2.40 ** KEPT (pick-wt=3): 214 [] doDivides0($c2,xk).
% 2.22/2.40 ** KEPT (pick-wt=0): 216 [copy,215,propositional] $F.
% 2.22/2.40
% 2.22/2.40 -----> EMPTY CLAUSE at 0.05 sec ----> 216 [copy,215,propositional] $F.
% 2.22/2.40
% 2.22/2.40 Length of proof is 0. Level of proof is 0.
% 2.22/2.40
% 2.22/2.40 ---------------- PROOF ----------------
% 2.22/2.40 % SZS status Theorem
% 2.22/2.40 % SZS output start Refutation
% See solution above
% 2.22/2.40 ------------ end of proof -------------
% 2.22/2.40
% 2.22/2.40
% 2.22/2.40 Search stopped by max_proofs option.
% 2.22/2.40
% 2.22/2.40
% 2.22/2.40 Search stopped by max_proofs option.
% 2.22/2.40
% 2.22/2.40 ============ end of search ============
% 2.22/2.40
% 2.22/2.40 -------------- statistics -------------
% 2.22/2.40 clauses given 0
% 2.22/2.40 clauses generated 186
% 2.22/2.40 clauses kept 194
% 2.22/2.40 clauses forward subsumed 80
% 2.22/2.40 clauses back subsumed 0
% 2.22/2.40 Kbytes malloced 1953
% 2.22/2.40
% 2.22/2.40 ----------- times (seconds) -----------
% 2.22/2.40 user CPU time 0.05 (0 hr, 0 min, 0 sec)
% 2.22/2.40 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.22/2.40 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.22/2.40
% 2.22/2.40 That finishes the proof of the theorem.
% 2.22/2.40
% 2.22/2.40 Process 27815 finished Wed Jul 27 09:27:12 2022
% 2.22/2.40 Otter interrupted
% 2.22/2.40 PROOF FOUND
%------------------------------------------------------------------------------