TSTP Solution File: NUM525+3 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : NUM525+3 : 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 13:08:42 EDT 2022
% Result : Theorem 2.39s 2.56s
% Output : Refutation 2.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of clauses : 37 ( 33 unt; 0 nHn; 36 RR)
% Number of literals : 46 ( 30 equ; 15 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(9,axiom,
( ~ aNaturalNumber0(A)
| ~ aNaturalNumber0(B)
| sdtasdt0(A,B) = sdtasdt0(B,A) ),
file('NUM525+3.p',unknown),
[] ).
cnf(10,axiom,
( ~ aNaturalNumber0(A)
| ~ aNaturalNumber0(B)
| ~ aNaturalNumber0(C)
| sdtasdt0(sdtasdt0(A,B),C) = sdtasdt0(A,sdtasdt0(B,C)) ),
file('NUM525+3.p',unknown),
[] ).
cnf(86,axiom,
sdtasdt0(xp,sdtasdt0(xm,xm)) != sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))),
file('NUM525+3.p',unknown),
[] ).
cnf(87,plain,
sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))) != sdtasdt0(xp,sdtasdt0(xm,xm)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[86])]),
[iquote('copy,86,flip.1')] ).
cnf(96,plain,
( ~ aNaturalNumber0(A)
| ~ aNaturalNumber0(B)
| sdtasdt0(sdtasdt0(A,B),A) = sdtasdt0(A,sdtasdt0(B,A)) ),
inference(factor,[status(thm)],[10]),
[iquote('factor,10.1.3')] ).
cnf(97,plain,
( ~ aNaturalNumber0(A)
| ~ aNaturalNumber0(B)
| sdtasdt0(sdtasdt0(A,B),B) = sdtasdt0(A,sdtasdt0(B,B)) ),
inference(factor,[status(thm)],[10]),
[iquote('factor,10.2.3')] ).
cnf(208,axiom,
A = A,
file('NUM525+3.p',unknown),
[] ).
cnf(211,axiom,
aNaturalNumber0(xn),
file('NUM525+3.p',unknown),
[] ).
cnf(212,axiom,
aNaturalNumber0(xm),
file('NUM525+3.p',unknown),
[] ).
cnf(213,axiom,
aNaturalNumber0(xp),
file('NUM525+3.p',unknown),
[] ).
cnf(215,axiom,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
file('NUM525+3.p',unknown),
[] ).
cnf(217,axiom,
aNaturalNumber0(dollar_c1),
file('NUM525+3.p',unknown),
[] ).
cnf(218,axiom,
sdtasdt0(xn,xn) = sdtasdt0(xp,dollar_c1),
file('NUM525+3.p',unknown),
[] ).
cnf(219,plain,
sdtasdt0(xp,dollar_c1) = sdtasdt0(xn,xn),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[218])]),
[iquote('copy,218,flip.1')] ).
cnf(222,axiom,
aNaturalNumber0(dollar_c2),
file('NUM525+3.p',unknown),
[] ).
cnf(223,axiom,
xn = sdtasdt0(xp,dollar_c2),
file('NUM525+3.p',unknown),
[] ).
cnf(225,plain,
sdtasdt0(xp,dollar_c2) = xn,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[223])]),
[iquote('copy,223,flip.1')] ).
cnf(227,axiom,
aNaturalNumber0(xq),
file('NUM525+3.p',unknown),
[] ).
cnf(228,axiom,
xn = sdtasdt0(xp,xq),
file('NUM525+3.p',unknown),
[] ).
cnf(230,plain,
sdtasdt0(xp,xq) = xn,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[228])]),
[iquote('copy,228,flip.1')] ).
cnf(234,plain,
sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))) != sdtasdt0(xn,xn),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[87]),215]),
[iquote('back_demod,87,demod,215')] ).
cnf(1140,plain,
sdtasdt0(sdtasdt0(xp,xm),xm) = sdtasdt0(xn,xn),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[213,97,212]),215]),
[iquote('hyper,213,97,212,demod,215')] ).
cnf(1148,plain,
sdtasdt0(sdtasdt0(xm,xp),xm) = sdtasdt0(xm,sdtasdt0(xp,xm)),
inference(hyper,[status(thm)],[213,96,212]),
[iquote('hyper,213,96,212')] ).
cnf(1446,plain,
sdtasdt0(xp,xm) = sdtasdt0(xm,xp),
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[213,9,212])]),
[iquote('hyper,213,9,212,flip.1')] ).
cnf(1594,plain,
sdtasdt0(sdtasdt0(xm,xp),xm) = sdtasdt0(xm,sdtasdt0(xm,xp)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1148]),1446]),
[iquote('back_demod,1148,demod,1446')] ).
cnf(1596,plain,
sdtasdt0(xn,xn) = sdtasdt0(xm,sdtasdt0(xm,xp)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1140]),1446,1594])]),
[iquote('back_demod,1140,demod,1446,1594,flip.1')] ).
cnf(1789,plain,
sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))) != sdtasdt0(xm,sdtasdt0(xm,xp)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[234]),1596]),
[iquote('back_demod,234,demod,1596')] ).
cnf(1792,plain,
sdtasdt0(xp,dollar_c1) = sdtasdt0(xm,sdtasdt0(xm,xp)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[219]),1596]),
[iquote('back_demod,219,demod,1596')] ).
cnf(2558,plain,
sdtasdt0(xm,sdtasdt0(xm,xp)) = sdtasdt0(dollar_c1,xp),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[217,9,213]),1792]),
[iquote('hyper,217,9,213,demod,1792')] ).
cnf(2799,plain,
sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))) != sdtasdt0(dollar_c1,xp),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1789]),2558]),
[iquote('back_demod,1789,demod,2558')] ).
cnf(2820,plain,
sdtasdt0(xn,xn) = sdtasdt0(dollar_c1,xp),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1596]),2558]),
[iquote('back_demod,1595,demod,2558')] ).
cnf(3824,plain,
sdtasdt0(xp,sdtasdt0(dollar_c2,xn)) = sdtasdt0(dollar_c1,xp),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[222,10,213,211]),225,2820])]),
[iquote('hyper,222,10,213,211,demod,225,2820,flip.1')] ).
cnf(3904,plain,
sdtasdt0(dollar_c2,xp) = xn,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[222,9,213]),225])]),
[iquote('hyper,222,9,213,demod,225,flip.1')] ).
cnf(4923,plain,
sdtasdt0(xp,sdtasdt0(xq,xq)) = sdtasdt0(xn,xq),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[227,97,213]),230])]),
[iquote('hyper,227,97,213,demod,230,flip.1')] ).
cnf(5630,plain,
sdtasdt0(xn,xq) = sdtasdt0(dollar_c2,xn),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[227,10,222,213]),3904,230]),
[iquote('hyper,227,10,222,213,demod,3904,230')] ).
cnf(6096,plain,
sdtasdt0(dollar_c1,xp) != sdtasdt0(dollar_c1,xp),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[2799]),4923,5630,3824]),
[iquote('back_demod,2799,demod,4923,5630,3824')] ).
cnf(6097,plain,
$false,
inference(binary,[status(thm)],[6096,208]),
[iquote('binary,6096.1,208.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM525+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 09:34:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.00/2.20 ----- Otter 3.3f, August 2004 -----
% 2.00/2.20 The process was started by sandbox2 on n009.cluster.edu,
% 2.00/2.20 Wed Jul 27 09:34:06 2022
% 2.00/2.20 The command was "./otter". The process ID is 21277.
% 2.00/2.20
% 2.00/2.20 set(prolog_style_variables).
% 2.00/2.20 set(auto).
% 2.00/2.20 dependent: set(auto1).
% 2.00/2.20 dependent: set(process_input).
% 2.00/2.20 dependent: clear(print_kept).
% 2.00/2.20 dependent: clear(print_new_demod).
% 2.00/2.20 dependent: clear(print_back_demod).
% 2.00/2.20 dependent: clear(print_back_sub).
% 2.00/2.20 dependent: set(control_memory).
% 2.00/2.20 dependent: assign(max_mem, 12000).
% 2.00/2.20 dependent: assign(pick_given_ratio, 4).
% 2.00/2.20 dependent: assign(stats_level, 1).
% 2.00/2.20 dependent: assign(max_seconds, 10800).
% 2.00/2.20 clear(print_given).
% 2.00/2.20
% 2.00/2.20 formula_list(usable).
% 2.00/2.20 all A (A=A).
% 2.00/2.20 all W0 (aNaturalNumber0(W0)->$T).
% 2.00/2.20 aNaturalNumber0(sz00).
% 2.00/2.20 aNaturalNumber0(sz10).
% 2.00/2.20 sz10!=sz00.
% 2.00/2.20 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->aNaturalNumber0(sdtpldt0(W0,W1))).
% 2.00/2.20 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->aNaturalNumber0(sdtasdt0(W0,W1))).
% 2.00/2.20 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->sdtpldt0(W0,W1)=sdtpldt0(W1,W0)).
% 2.00/2.20 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)->sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2))).
% 2.00/2.20 all W0 (aNaturalNumber0(W0)->sdtpldt0(W0,sz00)=W0&W0=sdtpldt0(sz00,W0)).
% 2.00/2.20 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->sdtasdt0(W0,W1)=sdtasdt0(W1,W0)).
% 2.00/2.20 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)->sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2))).
% 2.00/2.20 all W0 (aNaturalNumber0(W0)->sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)).
% 2.00/2.20 all W0 (aNaturalNumber0(W0)->sdtasdt0(W0,sz00)=sz00&sz00=sdtasdt0(sz00,W0)).
% 2.00/2.20 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))).
% 2.00/2.20 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (sdtpldt0(W0,W1)=sdtpldt0(W0,W2)|sdtpldt0(W1,W0)=sdtpldt0(W2,W0)->W1=W2)).
% 2.00/2.20 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))))).
% 2.00/2.20 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtpldt0(W0,W1)=sz00->W0=sz00&W1=sz00)).
% 2.00/2.20 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtasdt0(W0,W1)=sz00->W0=sz00|W1=sz00)).
% 2.00/2.20 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtlse_qdt0(W0,W1)<-> (exists W2 (aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))).
% 2.00/2.20 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtlse_qdt0(W0,W1)-> (all W2 (W2=sdtmndt0(W1,W0)<->aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))).
% 2.00/2.20 all W0 (aNaturalNumber0(W0)->sdtlse_qdt0(W0,W0)).
% 2.00/2.20 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtlse_qdt0(W0,W1)&sdtlse_qdt0(W1,W0)->W0=W1)).
% 2.00/2.20 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (sdtlse_qdt0(W0,W1)&sdtlse_qdt0(W1,W2)->sdtlse_qdt0(W0,W2))).
% 2.00/2.20 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->sdtlse_qdt0(W0,W1)|W1!=W0&sdtlse_qdt0(W1,W0)).
% 2.00/2.20 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)))))).
% 2.00/2.20 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)))).
% 2.00/2.20 all W0 (aNaturalNumber0(W0)->W0=sz00|W0=sz10|sz10!=W0&sdtlse_qdt0(sz10,W0)).
% 2.00/2.20 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (W0!=sz00->sdtlse_qdt0(W1,sdtasdt0(W1,W0)))).
% 2.00/2.20 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (iLess0(W0,W1)->$T)).
% 2.00/2.20 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (W0!=W1&sdtlse_qdt0(W0,W1)->iLess0(W0,W1))).
% 2.00/2.20 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (doDivides0(W0,W1)<-> (exists W2 (aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2))))).
% 2.00/2.20 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (W0!=sz00&doDivides0(W0,W1)-> (all W2 (W2=sdtsldt0(W1,W0)<->aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2))))).
% 2.00/2.20 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (doDivides0(W0,W1)&doDivides0(W1,W2)->doDivides0(W0,W2))).
% 2.00/2.20 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (doDivides0(W0,W1)&doDivides0(W0,W2)->doDivides0(W0,sdtpldt0(W1,W2)))).
% 2.00/2.20 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (doDivides0(W0,W1)&doDivides0(W0,sdtpldt0(W1,W2))->doDivides0(W0,W2))).
% 2.00/2.20 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (doDivides0(W0,W1)&W1!=sz00->sdtlse_qdt0(W0,W1))).
% 2.00/2.20 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))))).
% 2.00/2.20 all W0 (aNaturalNumber0(W0)-> (isPrime0(W0)<->W0!=sz00&W0!=sz10& (all W1 (aNaturalNumber0(W1)&doDivides0(W1,W0)->W1=sz10|W1=W0)))).
% 2.00/2.20 all W0 (aNaturalNumber0(W0)&W0!=sz00&W0!=sz10-> (exists W1 (aNaturalNumber0(W1)&doDivides0(W1,W0)&isPrime0(W1)))).
% 2.00/2.20 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (isPrime0(W2)&doDivides0(W2,sdtasdt0(W0,W1))->doDivides0(W2,W0)|doDivides0(W2,W1))).
% 2.00/2.20 aNaturalNumber0(xn).
% 2.00/2.20 aNaturalNumber0(xm).
% 2.00/2.20 aNaturalNumber0(xp).
% 2.00/2.20 xn!=sz00.
% 2.00/2.20 xm!=sz00.
% 2.00/2.20 xp!=sz00.
% 2.00/2.20 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)&W0!=sz00&W1!=sz00&W2!=sz00-> (sdtasdt0(W2,sdtasdt0(W1,W1))=sdtasdt0(W0,W0)-> (iLess0(W0,xn)-> -(W2!=sz10& (all W3 (aNaturalNumber0(W3)& (exists W4 (aNaturalNumber0(W4)&W2=sdtasdt0(W3,W4)))&doDivides0(W3,W2)->W3=sz10|W3=W2))|isPrime0(W2))))).
% 2.00/2.20 sdtasdt0(xp,sdtasdt0(xm,xm))=sdtasdt0(xn,xn).
% 2.00/2.20 xp!=sz10.
% 2.00/2.20 all W0 (aNaturalNumber0(W0)& ((exists W1 (aNaturalNumber0(W1)&xp=sdtasdt0(W0,W1)))|doDivides0(W0,xp))->W0=sz10|W0=xp).
% 2.00/2.20 isPrime0(xp).
% 2.00/2.20 exists W0 (aNaturalNumber0(W0)&sdtasdt0(xn,xn)=sdtasdt0(xp,W0)).
% 2.00/2.20 doDivides0(xp,sdtasdt0(xn,xn)).
% 2.00/2.20 exists W0 (aNaturalNumber0(W0)&xn=sdtasdt0(xp,W0)).
% 2.00/2.20 doDivides0(xp,xn).
% 2.00/2.20 aNaturalNumber0(xq).
% 2.00/2.20 xn=sdtasdt0(xp,xq).
% 2.00/2.20 xq=sdtsldt0(xn,xp).
% 2.00/2.20 sdtasdt0(xp,sdtasdt0(xm,xm))!=sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))).
% 2.00/2.20 end_of_list.
% 2.00/2.20
% 2.00/2.20 -------> usable clausifies to:
% 2.00/2.20
% 2.00/2.20 list(usable).
% 2.00/2.20 0 [] A=A.
% 2.00/2.20 0 [] -aNaturalNumber0(W0)|$T.
% 2.00/2.20 0 [] aNaturalNumber0(sz00).
% 2.00/2.20 0 [] aNaturalNumber0(sz10).
% 2.00/2.20 0 [] sz10!=sz00.
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|aNaturalNumber0(sdtpldt0(W0,W1)).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|aNaturalNumber0(sdtasdt0(W0,W1)).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtpldt0(W0,W1)=sdtpldt0(W1,W0).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2)).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)|sdtpldt0(W0,sz00)=W0.
% 2.00/2.20 0 [] -aNaturalNumber0(W0)|W0=sdtpldt0(sz00,W0).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtasdt0(W0,W1)=sdtasdt0(W1,W0).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2)).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)|sdtasdt0(W0,sz10)=W0.
% 2.00/2.20 0 [] -aNaturalNumber0(W0)|W0=sdtasdt0(sz10,W0).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)|sdtasdt0(W0,sz00)=sz00.
% 2.00/2.20 0 [] -aNaturalNumber0(W0)|sz00=sdtasdt0(sz00,W0).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(sdtpldt0(W1,W2),W0)=sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtpldt0(W0,W1)!=sdtpldt0(W0,W2)|W1=W2.
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtpldt0(W1,W0)!=sdtpldt0(W2,W0)|W1=W2.
% 2.00/2.20 0 [] -aNaturalNumber0(W0)|W0=sz00| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(W0,W1)!=sdtasdt0(W0,W2)|W1=W2.
% 2.00/2.20 0 [] -aNaturalNumber0(W0)|W0=sz00| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(W1,W0)!=sdtasdt0(W2,W0)|W1=W2.
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtpldt0(W0,W1)!=sz00|W0=sz00.
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtpldt0(W0,W1)!=sz00|W1=sz00.
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtasdt0(W0,W1)!=sz00|W0=sz00|W1=sz00.
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|aNaturalNumber0($f1(W0,W1)).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|sdtpldt0(W0,$f1(W0,W1))=W1.
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtpldt0(W0,W2)!=W1.
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|W2!=sdtmndt0(W1,W0)|aNaturalNumber0(W2).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|W2!=sdtmndt0(W1,W0)|sdtpldt0(W0,W2)=W1.
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|W2=sdtmndt0(W1,W0)| -aNaturalNumber0(W2)|sdtpldt0(W0,W2)!=W1.
% 2.00/2.20 0 [] -aNaturalNumber0(W0)|sdtlse_qdt0(W0,W0).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)| -sdtlse_qdt0(W1,W0)|W0=W1.
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)| -sdtlse_qdt0(W0,W1)| -sdtlse_qdt0(W1,W2)|sdtlse_qdt0(W0,W2).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtlse_qdt0(W0,W1)|W1!=W0.
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtlse_qdt0(W0,W1)|sdtlse_qdt0(W1,W0).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtpldt0(W2,W0)!=sdtpldt0(W2,W1).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtlse_qdt0(sdtpldt0(W2,W0),sdtpldt0(W2,W1)).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtpldt0(W0,W2)!=sdtpldt0(W1,W2).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtlse_qdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W2)).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=W2| -sdtlse_qdt0(W1,W2)|sdtasdt0(W0,W1)!=sdtasdt0(W0,W2).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=W2| -sdtlse_qdt0(W1,W2)|sdtlse_qdt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=W2| -sdtlse_qdt0(W1,W2)|sdtasdt0(W1,W0)!=sdtasdt0(W2,W0).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=W2| -sdtlse_qdt0(W1,W2)|sdtlse_qdt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=sz10|sz10!=W0.
% 2.00/2.20 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=sz10|sdtlse_qdt0(sz10,W0).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=sz00|sdtlse_qdt0(W1,sdtasdt0(W1,W0)).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -iLess0(W0,W1)|$T.
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)|iLess0(W0,W1).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -doDivides0(W0,W1)|aNaturalNumber0($f2(W0,W1)).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -doDivides0(W0,W1)|W1=sdtasdt0(W0,$f2(W0,W1)).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|doDivides0(W0,W1)| -aNaturalNumber0(W2)|W1!=sdtasdt0(W0,W2).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=sz00| -doDivides0(W0,W1)|W2!=sdtsldt0(W1,W0)|aNaturalNumber0(W2).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=sz00| -doDivides0(W0,W1)|W2!=sdtsldt0(W1,W0)|W1=sdtasdt0(W0,W2).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=sz00| -doDivides0(W0,W1)|W2=sdtsldt0(W1,W0)| -aNaturalNumber0(W2)|W1!=sdtasdt0(W0,W2).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)| -doDivides0(W0,W1)| -doDivides0(W1,W2)|doDivides0(W0,W2).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)| -doDivides0(W0,W1)| -doDivides0(W0,W2)|doDivides0(W0,sdtpldt0(W1,W2)).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)| -doDivides0(W0,W1)| -doDivides0(W0,sdtpldt0(W1,W2))|doDivides0(W0,W2).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -doDivides0(W0,W1)|W1=sz00|sdtlse_qdt0(W0,W1).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=sz00| -doDivides0(W0,W1)| -aNaturalNumber0(W2)|sdtasdt0(W2,sdtsldt0(W1,W0))=sdtsldt0(sdtasdt0(W2,W1),W0).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -isPrime0(W0)|W0!=sz00.
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -isPrime0(W0)|W0!=sz10.
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -isPrime0(W0)| -aNaturalNumber0(W1)| -doDivides0(W1,W0)|W1=sz10|W1=W0.
% 2.00/2.20 0 [] -aNaturalNumber0(W0)|isPrime0(W0)|W0=sz00|W0=sz10|aNaturalNumber0($f3(W0)).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)|isPrime0(W0)|W0=sz00|W0=sz10|doDivides0($f3(W0),W0).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)|isPrime0(W0)|W0=sz00|W0=sz10|$f3(W0)!=sz10.
% 2.00/2.20 0 [] -aNaturalNumber0(W0)|isPrime0(W0)|W0=sz00|W0=sz10|$f3(W0)!=W0.
% 2.00/2.20 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=sz10|aNaturalNumber0($f4(W0)).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=sz10|doDivides0($f4(W0),W0).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=sz10|isPrime0($f4(W0)).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)| -isPrime0(W2)| -doDivides0(W2,sdtasdt0(W0,W1))|doDivides0(W2,W0)|doDivides0(W2,W1).
% 2.00/2.20 0 [] aNaturalNumber0(xn).
% 2.00/2.20 0 [] aNaturalNumber0(xm).
% 2.00/2.20 0 [] aNaturalNumber0(xp).
% 2.00/2.20 0 [] xn!=sz00.
% 2.00/2.20 0 [] xm!=sz00.
% 2.00/2.20 0 [] xp!=sz00.
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=sz00|W2=sz00|sdtasdt0(W2,sdtasdt0(W1,W1))!=sdtasdt0(W0,W0)| -iLess0(W0,xn)|W2=sz10|aNaturalNumber0($f6(W0,W1,W2)).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=sz00|W2=sz00|sdtasdt0(W2,sdtasdt0(W1,W1))!=sdtasdt0(W0,W0)| -iLess0(W0,xn)|W2=sz10|aNaturalNumber0($f5(W0,W1,W2)).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=sz00|W2=sz00|sdtasdt0(W2,sdtasdt0(W1,W1))!=sdtasdt0(W0,W0)| -iLess0(W0,xn)|W2=sz10|W2=sdtasdt0($f6(W0,W1,W2),$f5(W0,W1,W2)).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=sz00|W2=sz00|sdtasdt0(W2,sdtasdt0(W1,W1))!=sdtasdt0(W0,W0)| -iLess0(W0,xn)|W2=sz10|doDivides0($f6(W0,W1,W2),W2).
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=sz00|W2=sz00|sdtasdt0(W2,sdtasdt0(W1,W1))!=sdtasdt0(W0,W0)| -iLess0(W0,xn)|W2=sz10|$f6(W0,W1,W2)!=sz10.
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=sz00|W2=sz00|sdtasdt0(W2,sdtasdt0(W1,W1))!=sdtasdt0(W0,W0)| -iLess0(W0,xn)|W2=sz10|$f6(W0,W1,W2)!=W2.
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=sz00|W2=sz00|sdtasdt0(W2,sdtasdt0(W1,W1))!=sdtasdt0(W0,W0)| -iLess0(W0,xn)| -isPrime0(W2).
% 2.00/2.20 0 [] sdtasdt0(xp,sdtasdt0(xm,xm))=sdtasdt0(xn,xn).
% 2.00/2.20 0 [] xp!=sz10.
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|xp!=sdtasdt0(W0,W1)|W0=sz10|W0=xp.
% 2.00/2.20 0 [] -aNaturalNumber0(W0)| -doDivides0(W0,xp)|W0=sz10|W0=xp.
% 2.00/2.20 0 [] isPrime0(xp).
% 2.00/2.20 0 [] aNaturalNumber0($c1).
% 2.00/2.20 0 [] sdtasdt0(xn,xn)=sdtasdt0(xp,$c1).
% 2.00/2.20 0 [] doDivides0(xp,sdtasdt0(xn,xn)).
% 2.00/2.20 0 [] aNaturalNumber0($c2).
% 2.00/2.20 0 [] xn=sdtasdt0(xp,$c2).
% 2.00/2.20 0 [] doDivides0(xp,xn).
% 2.00/2.20 0 [] aNaturalNumber0(xq).
% 2.00/2.20 0 [] xn=sdtasdt0(xp,xq).
% 2.00/2.20 0 [] xq=sdtsldt0(xn,xp).
% 2.00/2.20 0 [] sdtasdt0(xp,sdtasdt0(xm,xm))!=sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))).
% 2.00/2.20 end_of_list.
% 2.00/2.20
% 2.00/2.20 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=10.
% 2.00/2.20
% 2.00/2.20 This ia a non-Horn set with equality. The strategy will be
% 2.00/2.20 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.00/2.20 deletion, with positive clauses in sos and nonpositive
% 2.00/2.20 clauses in usable.
% 2.00/2.20
% 2.00/2.20 dependent: set(knuth_bendix).
% 2.00/2.20 dependent: set(anl_eq).
% 2.00/2.20 dependent: set(para_from).
% 2.00/2.20 dependent: set(para_into).
% 2.00/2.20 dependent: clear(para_from_right).
% 2.00/2.20 dependent: clear(para_into_right).
% 2.00/2.20 dependent: set(para_from_vars).
% 2.00/2.20 dependent: set(eq_units_both_ways).
% 2.00/2.20 dependent: set(dynamic_demod_all).
% 2.00/2.20 dependent: set(dynamic_demod).
% 2.00/2.20 dependent: set(order_eq).
% 2.00/2.20 dependent: set(back_demod).
% 2.00/2.20 dependent: set(lrpo).
% 2.00/2.20 dependent: set(hyper_res).
% 2.00/2.20 dependent: set(unit_deletion).
% 2.00/2.20 dependent: set(factor).
% 2.00/2.20
% 2.00/2.20 ------------> process usable:
% 2.00/2.20 ** KEPT (pick-wt=3): 1 [] sz10!=sz00.
% 2.00/2.20 ** KEPT (pick-wt=8): 2 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|aNaturalNumber0(sdtpldt0(A,B)).
% 2.00/2.20 ** KEPT (pick-wt=8): 3 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|aNaturalNumber0(sdtasdt0(A,B)).
% 2.00/2.20 ** KEPT (pick-wt=11): 4 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtpldt0(A,B)=sdtpldt0(B,A).
% 2.00/2.20 ** KEPT (pick-wt=17): 5 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(sdtpldt0(A,B),C)=sdtpldt0(A,sdtpldt0(B,C)).
% 2.00/2.20 ** KEPT (pick-wt=7): 6 [] -aNaturalNumber0(A)|sdtpldt0(A,sz00)=A.
% 2.00/2.21 ** KEPT (pick-wt=7): 8 [copy,7,flip.2] -aNaturalNumber0(A)|sdtpldt0(sz00,A)=A.
% 2.00/2.21 ** KEPT (pick-wt=11): 9 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtasdt0(A,B)=sdtasdt0(B,A).
% 2.00/2.21 ** KEPT (pick-wt=17): 10 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtasdt0(sdtasdt0(A,B),C)=sdtasdt0(A,sdtasdt0(B,C)).
% 2.00/2.21 ** KEPT (pick-wt=7): 11 [] -aNaturalNumber0(A)|sdtasdt0(A,sz10)=A.
% 2.00/2.21 ** KEPT (pick-wt=7): 13 [copy,12,flip.2] -aNaturalNumber0(A)|sdtasdt0(sz10,A)=A.
% 2.00/2.21 ** KEPT (pick-wt=7): 14 [] -aNaturalNumber0(A)|sdtasdt0(A,sz00)=sz00.
% 2.00/2.21 ** KEPT (pick-wt=7): 16 [copy,15,flip.2] -aNaturalNumber0(A)|sdtasdt0(sz00,A)=sz00.
% 2.00/2.21 ** 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)).
% 2.00/2.21 ** 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).
% 2.00/2.21 ** KEPT (pick-wt=16): 21 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(A,B)!=sdtpldt0(A,C)|B=C.
% 2.00/2.21 ** KEPT (pick-wt=16): 22 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(B,A)!=sdtpldt0(C,A)|B=C.
% 2.00/2.21 ** KEPT (pick-wt=19): 23 [] -aNaturalNumber0(A)|A=sz00| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtasdt0(A,B)!=sdtasdt0(A,C)|B=C.
% 2.00/2.21 ** KEPT (pick-wt=19): 24 [] -aNaturalNumber0(A)|A=sz00| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtasdt0(B,A)!=sdtasdt0(C,A)|B=C.
% 2.00/2.21 ** KEPT (pick-wt=12): 25 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtpldt0(A,B)!=sz00|A=sz00.
% 2.00/2.21 ** KEPT (pick-wt=12): 26 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtpldt0(A,B)!=sz00|B=sz00.
% 2.00/2.21 ** KEPT (pick-wt=15): 27 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtasdt0(A,B)!=sz00|A=sz00|B=sz00.
% 2.00/2.21 ** KEPT (pick-wt=11): 28 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|aNaturalNumber0($f1(A,B)).
% 2.00/2.21 ** KEPT (pick-wt=14): 29 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|sdtpldt0(A,$f1(A,B))=B.
% 2.00/2.21 ** KEPT (pick-wt=14): 30 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtlse_qdt0(A,B)| -aNaturalNumber0(C)|sdtpldt0(A,C)!=B.
% 2.00/2.21 ** KEPT (pick-wt=14): 31 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|C!=sdtmndt0(B,A)|aNaturalNumber0(C).
% 2.00/2.21 ** KEPT (pick-wt=17): 32 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|C!=sdtmndt0(B,A)|sdtpldt0(A,C)=B.
% 2.00/2.21 ** KEPT (pick-wt=19): 33 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|C=sdtmndt0(B,A)| -aNaturalNumber0(C)|sdtpldt0(A,C)!=B.
% 2.00/2.21 ** KEPT (pick-wt=5): 34 [] -aNaturalNumber0(A)|sdtlse_qdt0(A,A).
% 2.00/2.21 ** KEPT (pick-wt=13): 35 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)| -sdtlse_qdt0(B,A)|A=B.
% 2.00/2.21 ** KEPT (pick-wt=15): 36 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)| -sdtlse_qdt0(A,B)| -sdtlse_qdt0(B,C)|sdtlse_qdt0(A,C).
% 2.00/2.21 ** KEPT (pick-wt=10): 37 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtlse_qdt0(A,B)|B!=A.
% 2.00/2.21 ** KEPT (pick-wt=10): 38 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtlse_qdt0(A,B)|sdtlse_qdt0(B,A).
% 2.00/2.21 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).
% 2.00/2.21 ** 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)).
% 2.00/2.21 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).
% 2.00/2.21 ** 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)).
% 2.00/2.21 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).
% 2.00/2.21 ** 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)).
% 2.00/2.21 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).
% 2.09/2.26 ** 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)).
% 2.09/2.26 ** KEPT (pick-wt=11): 43 [] -aNaturalNumber0(A)|A=sz00|A=sz10|sz10!=A.
% 2.09/2.26 ** KEPT (pick-wt=11): 44 [] -aNaturalNumber0(A)|A=sz00|A=sz10|sdtlse_qdt0(sz10,A).
% 2.09/2.26 ** KEPT (pick-wt=12): 45 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=sz00|sdtlse_qdt0(B,sdtasdt0(B,A)).
% 2.09/2.26 ** KEPT (pick-wt=13): 46 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=B| -sdtlse_qdt0(A,B)|iLess0(A,B).
% 2.09/2.26 ** KEPT (pick-wt=11): 47 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -doDivides0(A,B)|aNaturalNumber0($f2(A,B)).
% 2.09/2.26 ** KEPT (pick-wt=14): 49 [copy,48,flip.4] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -doDivides0(A,B)|sdtasdt0(A,$f2(A,B))=B.
% 2.09/2.26 ** KEPT (pick-wt=14): 50 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|doDivides0(A,B)| -aNaturalNumber0(C)|B!=sdtasdt0(A,C).
% 2.09/2.26 ** KEPT (pick-wt=17): 51 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=sz00| -doDivides0(A,B)|C!=sdtsldt0(B,A)|aNaturalNumber0(C).
% 2.09/2.26 ** KEPT (pick-wt=20): 52 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=sz00| -doDivides0(A,B)|C!=sdtsldt0(B,A)|B=sdtasdt0(A,C).
% 2.09/2.26 ** KEPT (pick-wt=22): 53 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=sz00| -doDivides0(A,B)|C=sdtsldt0(B,A)| -aNaturalNumber0(C)|B!=sdtasdt0(A,C).
% 2.09/2.26 ** KEPT (pick-wt=15): 54 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)| -doDivides0(A,B)| -doDivides0(B,C)|doDivides0(A,C).
% 2.09/2.26 ** KEPT (pick-wt=17): 55 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)| -doDivides0(A,B)| -doDivides0(A,C)|doDivides0(A,sdtpldt0(B,C)).
% 2.09/2.26 ** KEPT (pick-wt=17): 56 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)| -doDivides0(A,B)| -doDivides0(A,sdtpldt0(B,C))|doDivides0(A,C).
% 2.09/2.26 ** KEPT (pick-wt=13): 57 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -doDivides0(A,B)|B=sz00|sdtlse_qdt0(A,B).
% 2.09/2.26 ** KEPT (pick-wt=23): 59 [copy,58,flip.6] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=sz00| -doDivides0(A,B)| -aNaturalNumber0(C)|sdtsldt0(sdtasdt0(C,B),A)=sdtasdt0(C,sdtsldt0(B,A)).
% 2.09/2.26 ** KEPT (pick-wt=7): 60 [] -aNaturalNumber0(A)| -isPrime0(A)|A!=sz00.
% 2.09/2.26 ** KEPT (pick-wt=7): 61 [] -aNaturalNumber0(A)| -isPrime0(A)|A!=sz10.
% 2.09/2.26 ** KEPT (pick-wt=15): 62 [] -aNaturalNumber0(A)| -isPrime0(A)| -aNaturalNumber0(B)| -doDivides0(B,A)|B=sz10|B=A.
% 2.09/2.26 ** KEPT (pick-wt=13): 63 [] -aNaturalNumber0(A)|isPrime0(A)|A=sz00|A=sz10|aNaturalNumber0($f3(A)).
% 2.09/2.26 ** KEPT (pick-wt=14): 64 [] -aNaturalNumber0(A)|isPrime0(A)|A=sz00|A=sz10|doDivides0($f3(A),A).
% 2.09/2.26 ** KEPT (pick-wt=14): 65 [] -aNaturalNumber0(A)|isPrime0(A)|A=sz00|A=sz10|$f3(A)!=sz10.
% 2.09/2.26 ** KEPT (pick-wt=14): 66 [] -aNaturalNumber0(A)|isPrime0(A)|A=sz00|A=sz10|$f3(A)!=A.
% 2.09/2.26 ** KEPT (pick-wt=11): 67 [] -aNaturalNumber0(A)|A=sz00|A=sz10|aNaturalNumber0($f4(A)).
% 2.09/2.26 ** KEPT (pick-wt=12): 68 [] -aNaturalNumber0(A)|A=sz00|A=sz10|doDivides0($f4(A),A).
% 2.09/2.26 ** KEPT (pick-wt=11): 69 [] -aNaturalNumber0(A)|A=sz00|A=sz10|isPrime0($f4(A)).
% 2.09/2.26 ** KEPT (pick-wt=19): 70 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)| -isPrime0(C)| -doDivides0(C,sdtasdt0(A,B))|doDivides0(C,A)|doDivides0(C,B).
% 2.09/2.26 ** KEPT (pick-wt=3): 71 [] xn!=sz00.
% 2.09/2.26 ** KEPT (pick-wt=3): 72 [] xm!=sz00.
% 2.09/2.26 ** KEPT (pick-wt=3): 73 [] xp!=sz00.
% 2.09/2.26 ** KEPT (pick-wt=35): 74 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|A=sz00|B=sz00|C=sz00|sdtasdt0(C,sdtasdt0(B,B))!=sdtasdt0(A,A)| -iLess0(A,xn)|C=sz10|aNaturalNumber0($f6(A,B,C)).
% 2.09/2.26 ** KEPT (pick-wt=35): 75 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|A=sz00|B=sz00|C=sz00|sdtasdt0(C,sdtasdt0(B,B))!=sdtasdt0(A,A)| -iLess0(A,xn)|C=sz10|aNaturalNumber0($f5(A,B,C)).
% 2.09/2.26 ** KEPT (pick-wt=41): 77 [copy,76,flip.10] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|A=sz00|B=sz00|C=sz00|sdtasdt0(C,sdtasdt0(B,B))!=sdtasdt0(A,A)| -iLess0(A,xn)|C=sz10|sdtasdt0($f6(A,B,C),$f5(A,B,C))=C.
% 2.09/2.26 ** KEPT (pick-wt=36): 78 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|A=sz00|B=sz00|C=sz00|sdtasdt0(C,sdtasdt0(B,B))!=sdtasdt0(A,A)| -iLess0(A,xn)|C=sz10|doDivides0($f6(A,B,C),C).
% 2.39/2.56 ** KEPT (pick-wt=36): 79 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|A=sz00|B=sz00|C=sz00|sdtasdt0(C,sdtasdt0(B,B))!=sdtasdt0(A,A)| -iLess0(A,xn)|C=sz10|$f6(A,B,C)!=sz10.
% 2.39/2.56 ** KEPT (pick-wt=36): 80 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|A=sz00|B=sz00|C=sz00|sdtasdt0(C,sdtasdt0(B,B))!=sdtasdt0(A,A)| -iLess0(A,xn)|C=sz10|$f6(A,B,C)!=C.
% 2.39/2.56 ** KEPT (pick-wt=29): 81 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|A=sz00|B=sz00|C=sz00|sdtasdt0(C,sdtasdt0(B,B))!=sdtasdt0(A,A)| -iLess0(A,xn)| -isPrime0(C).
% 2.39/2.56 ** KEPT (pick-wt=3): 82 [] xp!=sz10.
% 2.39/2.56 ** KEPT (pick-wt=15): 84 [copy,83,flip.3] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtasdt0(A,B)!=xp|A=sz10|A=xp.
% 2.39/2.56 ** KEPT (pick-wt=11): 85 [] -aNaturalNumber0(A)| -doDivides0(A,xp)|A=sz10|A=xp.
% 2.39/2.56 ** KEPT (pick-wt=13): 87 [copy,86,flip.1] sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq)))!=sdtasdt0(xp,sdtasdt0(xm,xm)).
% 2.39/2.56
% 2.39/2.56 ------------> process sos:
% 2.39/2.56 ** KEPT (pick-wt=3): 208 [] A=A.
% 2.39/2.56 ** KEPT (pick-wt=2): 209 [] aNaturalNumber0(sz00).
% 2.39/2.56 ** KEPT (pick-wt=2): 210 [] aNaturalNumber0(sz10).
% 2.39/2.56 ** KEPT (pick-wt=2): 211 [] aNaturalNumber0(xn).
% 2.39/2.56 ** KEPT (pick-wt=2): 212 [] aNaturalNumber0(xm).
% 2.39/2.56 ** KEPT (pick-wt=2): 213 [] aNaturalNumber0(xp).
% 2.39/2.56 ** KEPT (pick-wt=9): 214 [] sdtasdt0(xp,sdtasdt0(xm,xm))=sdtasdt0(xn,xn).
% 2.39/2.56 ---> New Demodulator: 215 [new_demod,214] sdtasdt0(xp,sdtasdt0(xm,xm))=sdtasdt0(xn,xn).
% 2.39/2.56 ** KEPT (pick-wt=2): 216 [] isPrime0(xp).
% 2.39/2.56 ** KEPT (pick-wt=2): 217 [] aNaturalNumber0($c1).
% 2.39/2.56 ** KEPT (pick-wt=7): 219 [copy,218,flip.1] sdtasdt0(xp,$c1)=sdtasdt0(xn,xn).
% 2.39/2.56 ---> New Demodulator: 220 [new_demod,219] sdtasdt0(xp,$c1)=sdtasdt0(xn,xn).
% 2.39/2.56 ** KEPT (pick-wt=5): 221 [] doDivides0(xp,sdtasdt0(xn,xn)).
% 2.39/2.56 ** KEPT (pick-wt=2): 222 [] aNaturalNumber0($c2).
% 2.39/2.56 ** KEPT (pick-wt=5): 224 [copy,223,flip.1] sdtasdt0(xp,$c2)=xn.
% 2.39/2.56 ---> New Demodulator: 225 [new_demod,224] sdtasdt0(xp,$c2)=xn.
% 2.39/2.56 ** KEPT (pick-wt=3): 226 [] doDivides0(xp,xn).
% 2.39/2.56 ** KEPT (pick-wt=2): 227 [] aNaturalNumber0(xq).
% 2.39/2.56 ** KEPT (pick-wt=5): 229 [copy,228,flip.1] sdtasdt0(xp,xq)=xn.
% 2.39/2.56 ---> New Demodulator: 230 [new_demod,229] sdtasdt0(xp,xq)=xn.
% 2.39/2.56 ** KEPT (pick-wt=5): 232 [copy,231,flip.1] sdtsldt0(xn,xp)=xq.
% 2.39/2.56 ---> New Demodulator: 233 [new_demod,232] sdtsldt0(xn,xp)=xq.
% 2.39/2.56 Following clause subsumed by 208 during input processing: 0 [copy,208,flip.1] A=A.
% 2.39/2.56 208 back subsumes 199.
% 2.39/2.56 208 back subsumes 193.
% 2.39/2.56 208 back subsumes 192.
% 2.39/2.56 208 back subsumes 191.
% 2.39/2.56 208 back subsumes 160.
% 2.39/2.56 208 back subsumes 129.
% 2.39/2.56 208 back subsumes 117.
% 2.39/2.56 208 back subsumes 113.
% 2.39/2.56 208 back subsumes 109.
% 2.39/2.56 208 back subsumes 106.
% 2.39/2.56 208 back subsumes 94.
% 2.39/2.56 208 back subsumes 90.
% 2.39/2.56 >>>> Starting back demodulation with 215.
% 2.39/2.56 >> back demodulating 87 with 215.
% 2.39/2.56 >>>> Starting back demodulation with 220.
% 2.39/2.56 >>>> Starting back demodulation with 225.
% 2.39/2.56 >>>> Starting back demodulation with 230.
% 2.39/2.56 >>>> Starting back demodulation with 233.
% 2.39/2.56
% 2.39/2.56 ======= end of input processing =======
% 2.39/2.56
% 2.39/2.56 =========== start of search ===========
% 2.39/2.56
% 2.39/2.56 -------- PROOF --------
% 2.39/2.56
% 2.39/2.56 ----> UNIT CONFLICT at 0.36 sec ----> 6097 [binary,6096.1,208.1] $F.
% 2.39/2.56
% 2.39/2.56 Length of proof is 22. Level of proof is 9.
% 2.39/2.56
% 2.39/2.56 ---------------- PROOF ----------------
% 2.39/2.56 % SZS status Theorem
% 2.39/2.56 % SZS output start Refutation
% See solution above
% 2.39/2.56 ------------ end of proof -------------
% 2.39/2.56
% 2.39/2.56
% 2.39/2.56 Search stopped by max_proofs option.
% 2.39/2.56
% 2.39/2.56
% 2.39/2.56 Search stopped by max_proofs option.
% 2.39/2.56
% 2.39/2.56 ============ end of search ============
% 2.39/2.56
% 2.39/2.56 -------------- statistics -------------
% 2.39/2.56 clauses given 10
% 2.39/2.56 clauses generated 6396
% 2.39/2.56 clauses kept 3332
% 2.39/2.56 clauses forward subsumed 4249
% 2.39/2.56 clauses back subsumed 19
% 2.39/2.56 Kbytes malloced 4882
% 2.39/2.56
% 2.39/2.56 ----------- times (seconds) -----------
% 2.39/2.56 user CPU time 0.36 (0 hr, 0 min, 0 sec)
% 2.39/2.56 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.39/2.56 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.39/2.56
% 2.39/2.56 That finishes the proof of the theorem.
% 2.39/2.56
% 2.39/2.56 Process 21277 finished Wed Jul 27 09:34:08 2022
% 2.39/2.56 Otter interrupted
% 2.39/2.56 PROOF FOUND
%------------------------------------------------------------------------------