TSTP Solution File: NUM477+2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : NUM477+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 13:08:30 EDT 2022
% Result : Theorem 2.07s 2.27s
% Output : Refutation 2.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of clauses : 43 ( 28 unt; 1 nHn; 42 RR)
% Number of literals : 74 ( 36 equ; 33 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
( ~ aNaturalNumber0(A)
| A = sdtpldt0(sz00,A) ),
file('NUM477+2.p',unknown),
[] ).
cnf(8,plain,
( ~ aNaturalNumber0(A)
| sdtpldt0(sz00,A) = A ),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[7])]),
[iquote('copy,7,flip.2')] ).
cnf(9,axiom,
( ~ aNaturalNumber0(A)
| ~ aNaturalNumber0(B)
| sdtasdt0(A,B) = sdtasdt0(B,A) ),
file('NUM477+2.p',unknown),
[] ).
cnf(10,axiom,
( ~ aNaturalNumber0(A)
| ~ aNaturalNumber0(B)
| ~ aNaturalNumber0(C)
| sdtasdt0(sdtasdt0(A,B),C) = sdtasdt0(A,sdtasdt0(B,C)) ),
file('NUM477+2.p',unknown),
[] ).
cnf(11,axiom,
( ~ aNaturalNumber0(A)
| sdtasdt0(A,sz10) = A ),
file('NUM477+2.p',unknown),
[] ).
cnf(15,axiom,
( ~ aNaturalNumber0(A)
| sz00 = sdtasdt0(sz00,A) ),
file('NUM477+2.p',unknown),
[] ).
cnf(16,plain,
( ~ aNaturalNumber0(A)
| sdtasdt0(sz00,A) = sz00 ),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[15])]),
[iquote('copy,15,flip.2')] ).
cnf(17,axiom,
( ~ aNaturalNumber0(A)
| ~ aNaturalNumber0(B)
| ~ aNaturalNumber0(C)
| sdtasdt0(A,sdtpldt0(B,C)) = sdtpldt0(sdtasdt0(A,B),sdtasdt0(A,C)) ),
file('NUM477+2.p',unknown),
[] ).
cnf(18,plain,
( ~ aNaturalNumber0(A)
| ~ aNaturalNumber0(B)
| ~ aNaturalNumber0(C)
| sdtpldt0(sdtasdt0(A,B),sdtasdt0(A,C)) = sdtasdt0(A,sdtpldt0(B,C)) ),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[17])]),
[iquote('copy,17,flip.4')] ).
cnf(19,axiom,
( ~ aNaturalNumber0(A)
| ~ aNaturalNumber0(B)
| ~ aNaturalNumber0(C)
| sdtasdt0(sdtpldt0(B,C),A) = sdtpldt0(sdtasdt0(B,A),sdtasdt0(C,A)) ),
file('NUM477+2.p',unknown),
[] ).
cnf(20,plain,
( ~ aNaturalNumber0(A)
| ~ aNaturalNumber0(B)
| ~ aNaturalNumber0(C)
| sdtpldt0(sdtasdt0(B,A),sdtasdt0(C,A)) = sdtasdt0(sdtpldt0(B,C),A) ),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[19])]),
[iquote('copy,19,flip.4')] ).
cnf(45,axiom,
( ~ aNaturalNumber0(A)
| ~ aNaturalNumber0(B)
| A = sz00
| sdtlse_qdt0(B,sdtasdt0(B,A)) ),
file('NUM477+2.p',unknown),
[] ).
cnf(57,axiom,
xn != sz00,
file('NUM477+2.p',unknown),
[] ).
cnf(59,axiom,
~ sdtlse_qdt0(xm,xn),
file('NUM477+2.p',unknown),
[] ).
cnf(69,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(72,plain,
( ~ aNaturalNumber0(A)
| ~ aNaturalNumber0(B)
| sdtpldt0(sdtasdt0(A,B),sdtasdt0(A,B)) = sdtasdt0(A,sdtpldt0(B,B)) ),
inference(factor,[status(thm)],[18]),
[iquote('factor,18.2.3')] ).
cnf(75,plain,
( ~ aNaturalNumber0(A)
| ~ aNaturalNumber0(B)
| sdtpldt0(sdtasdt0(B,A),sdtasdt0(B,A)) = sdtasdt0(sdtpldt0(B,B),A) ),
inference(factor,[status(thm)],[20]),
[iquote('factor,20.2.3')] ).
cnf(140,axiom,
A = A,
file('NUM477+2.p',unknown),
[] ).
cnf(141,axiom,
aNaturalNumber0(sz00),
file('NUM477+2.p',unknown),
[] ).
cnf(142,axiom,
aNaturalNumber0(sz10),
file('NUM477+2.p',unknown),
[] ).
cnf(143,axiom,
aNaturalNumber0(xm),
file('NUM477+2.p',unknown),
[] ).
cnf(144,axiom,
aNaturalNumber0(xn),
file('NUM477+2.p',unknown),
[] ).
cnf(145,axiom,
aNaturalNumber0(dollar_c1),
file('NUM477+2.p',unknown),
[] ).
cnf(146,axiom,
xn = sdtasdt0(xm,dollar_c1),
file('NUM477+2.p',unknown),
[] ).
cnf(148,plain,
sdtasdt0(xm,dollar_c1) = xn,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[146])]),
[iquote('copy,146,flip.1')] ).
cnf(168,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(hyper,[status(thm)],[141,8]),
[iquote('hyper,141,8')] ).
cnf(490,plain,
sdtpldt0(sdtasdt0(xn,sz10),sdtasdt0(xn,sz10)) = sdtasdt0(sdtpldt0(xn,xn),sz10),
inference(hyper,[status(thm)],[144,75,142]),
[iquote('hyper,144,75,142')] ).
cnf(498,plain,
sdtpldt0(sdtasdt0(sz00,xn),sdtasdt0(sz00,xn)) = sdtasdt0(sz00,xn),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[144,75,141]),168]),
[iquote('hyper,144,75,141,demod,168')] ).
cnf(527,plain,
sdtasdt0(sz00,sdtpldt0(xn,xn)) = sdtasdt0(sz00,xn),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[144,72,141]),498])]),
[iquote('hyper,144,72,141,demod,498,flip.1')] ).
cnf(532,plain,
sdtasdt0(sdtpldt0(xn,xn),sz10) = sdtasdt0(xn,sdtpldt0(sz10,sz10)),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[144,72,142]),490]),
[iquote('hyper,144,72,142,demod,490')] ).
cnf(716,plain,
sdtasdt0(sz00,xn) = sz00,
inference(hyper,[status(thm)],[144,16]),
[iquote('hyper,144,16')] ).
cnf(722,plain,
sdtasdt0(xn,sz10) = xn,
inference(hyper,[status(thm)],[144,11]),
[iquote('hyper,144,11')] ).
cnf(791,plain,
sdtpldt0(xn,xn) = sdtasdt0(xn,sdtpldt0(sz10,sz10)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[490]),722,722,532]),
[iquote('back_demod,489,demod,722,722,532')] ).
cnf(794,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz10,sz10))) = sz00,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[527]),791,716]),
[iquote('back_demod,527,demod,791,716')] ).
cnf(992,plain,
sdtasdt0(xn,sdtpldt0(sz10,sz10)) = sdtasdt0(xm,sdtpldt0(dollar_c1,dollar_c1)),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[145,72,143]),148,148,791]),
[iquote('hyper,145,72,143,demod,148,148,791')] ).
cnf(1040,plain,
sdtasdt0(xn,dollar_c1) = sdtasdt0(xm,sdtasdt0(dollar_c1,dollar_c1)),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[145,69,143]),148]),
[iquote('hyper,145,69,143,demod,148')] ).
cnf(1140,plain,
sz00 = dollar_c1,
inference(flip,[status(thm),theory(equality)],[inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[145,45,143]),148]),59])]),
[iquote('hyper,145,45,143,demod,148,unit_del,59,flip.1')] ).
cnf(1230,plain,
sdtasdt0(dollar_c1,dollar_c1) = dollar_c1,
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[145,16]),1140,1140]),
[iquote('hyper,145,16,demod,1140,1140')] ).
cnf(1262,plain,
sdtasdt0(dollar_c1,xn) = xn,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[145,9,144]),1040,1230,148])]),
[iquote('hyper,145,9,144,demod,1040,1230,148,flip.1')] ).
cnf(1266,plain,
sdtpldt0(dollar_c1,dollar_c1) = dollar_c1,
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[145,8]),1140]),
[iquote('hyper,145,8,demod,1140')] ).
cnf(1341,plain,
xn = dollar_c1,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[794]),1140,992,1266,148,1262,1140]),
[iquote('back_demod,794,demod,1140,992,1266,148,1262,1140')] ).
cnf(1408,plain,
dollar_c1 != dollar_c1,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[57]),1341,1140]),
[iquote('back_demod,57,demod,1341,1140')] ).
cnf(1409,plain,
$false,
inference(binary,[status(thm)],[1408,140]),
[iquote('binary,1408.1,140.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM477+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 09:35:36 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.02/2.21 ----- Otter 3.3f, August 2004 -----
% 2.02/2.21 The process was started by sandbox2 on n009.cluster.edu,
% 2.02/2.21 Wed Jul 27 09:35:36 2022
% 2.02/2.21 The command was "./otter". The process ID is 24846.
% 2.02/2.21
% 2.02/2.21 set(prolog_style_variables).
% 2.02/2.21 set(auto).
% 2.02/2.21 dependent: set(auto1).
% 2.02/2.21 dependent: set(process_input).
% 2.02/2.21 dependent: clear(print_kept).
% 2.02/2.21 dependent: clear(print_new_demod).
% 2.02/2.21 dependent: clear(print_back_demod).
% 2.02/2.21 dependent: clear(print_back_sub).
% 2.02/2.21 dependent: set(control_memory).
% 2.02/2.21 dependent: assign(max_mem, 12000).
% 2.02/2.21 dependent: assign(pick_given_ratio, 4).
% 2.02/2.21 dependent: assign(stats_level, 1).
% 2.02/2.21 dependent: assign(max_seconds, 10800).
% 2.02/2.21 clear(print_given).
% 2.02/2.21
% 2.02/2.21 formula_list(usable).
% 2.02/2.21 all A (A=A).
% 2.02/2.21 all W0 (aNaturalNumber0(W0)->$T).
% 2.02/2.21 aNaturalNumber0(sz00).
% 2.02/2.21 aNaturalNumber0(sz10).
% 2.02/2.21 sz10!=sz00.
% 2.02/2.21 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->aNaturalNumber0(sdtpldt0(W0,W1))).
% 2.02/2.21 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->aNaturalNumber0(sdtasdt0(W0,W1))).
% 2.02/2.21 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->sdtpldt0(W0,W1)=sdtpldt0(W1,W0)).
% 2.02/2.21 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)->sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2))).
% 2.02/2.21 all W0 (aNaturalNumber0(W0)->sdtpldt0(W0,sz00)=W0&W0=sdtpldt0(sz00,W0)).
% 2.02/2.21 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->sdtasdt0(W0,W1)=sdtasdt0(W1,W0)).
% 2.02/2.21 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)->sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2))).
% 2.02/2.21 all W0 (aNaturalNumber0(W0)->sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)).
% 2.02/2.21 all W0 (aNaturalNumber0(W0)->sdtasdt0(W0,sz00)=sz00&sz00=sdtasdt0(sz00,W0)).
% 2.02/2.21 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))).
% 2.02/2.21 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (sdtpldt0(W0,W1)=sdtpldt0(W0,W2)|sdtpldt0(W1,W0)=sdtpldt0(W2,W0)->W1=W2)).
% 2.02/2.21 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))))).
% 2.02/2.21 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtpldt0(W0,W1)=sz00->W0=sz00&W1=sz00)).
% 2.02/2.21 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtasdt0(W0,W1)=sz00->W0=sz00|W1=sz00)).
% 2.02/2.21 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtlse_qdt0(W0,W1)<-> (exists W2 (aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))).
% 2.02/2.21 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtlse_qdt0(W0,W1)-> (all W2 (W2=sdtmndt0(W1,W0)<->aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))).
% 2.02/2.21 all W0 (aNaturalNumber0(W0)->sdtlse_qdt0(W0,W0)).
% 2.02/2.21 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtlse_qdt0(W0,W1)&sdtlse_qdt0(W1,W0)->W0=W1)).
% 2.02/2.21 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (sdtlse_qdt0(W0,W1)&sdtlse_qdt0(W1,W2)->sdtlse_qdt0(W0,W2))).
% 2.02/2.21 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->sdtlse_qdt0(W0,W1)|W1!=W0&sdtlse_qdt0(W1,W0)).
% 2.02/2.21 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)))))).
% 2.02/2.21 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)))).
% 2.02/2.21 all W0 (aNaturalNumber0(W0)->W0=sz00|W0=sz10|sz10!=W0&sdtlse_qdt0(sz10,W0)).
% 2.02/2.21 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (W0!=sz00->sdtlse_qdt0(W1,sdtasdt0(W1,W0)))).
% 2.02/2.21 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (iLess0(W0,W1)->$T)).
% 2.02/2.21 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (W0!=W1&sdtlse_qdt0(W0,W1)->iLess0(W0,W1))).
% 2.02/2.21 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (doDivides0(W0,W1)<-> (exists W2 (aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2))))).
% 2.02/2.21 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (W0!=sz00&doDivides0(W0,W1)-> (all W2 (W2=sdtsldt0(W1,W0)<->aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2))))).
% 2.02/2.21 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (doDivides0(W0,W1)&doDivides0(W1,W2)->doDivides0(W0,W2))).
% 2.02/2.21 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (doDivides0(W0,W1)&doDivides0(W0,W2)->doDivides0(W0,sdtpldt0(W1,W2)))).
% 2.02/2.21 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (doDivides0(W0,W1)&doDivides0(W0,sdtpldt0(W1,W2))->doDivides0(W0,W2))).
% 2.02/2.21 aNaturalNumber0(xm).
% 2.02/2.21 aNaturalNumber0(xn).
% 2.02/2.21 exists W0 (aNaturalNumber0(W0)&xn=sdtasdt0(xm,W0)).
% 2.02/2.21 doDivides0(xm,xn).
% 2.02/2.21 xn!=sz00.
% 2.02/2.21 -((exists W0 (aNaturalNumber0(W0)&sdtpldt0(xm,W0)=xn))|sdtlse_qdt0(xm,xn)).
% 2.02/2.21 end_of_list.
% 2.02/2.21
% 2.02/2.21 -------> usable clausifies to:
% 2.02/2.21
% 2.02/2.21 list(usable).
% 2.02/2.21 0 [] A=A.
% 2.02/2.21 0 [] -aNaturalNumber0(W0)|$T.
% 2.02/2.21 0 [] aNaturalNumber0(sz00).
% 2.02/2.21 0 [] aNaturalNumber0(sz10).
% 2.02/2.21 0 [] sz10!=sz00.
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|aNaturalNumber0(sdtpldt0(W0,W1)).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|aNaturalNumber0(sdtasdt0(W0,W1)).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtpldt0(W0,W1)=sdtpldt0(W1,W0).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2)).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)|sdtpldt0(W0,sz00)=W0.
% 2.02/2.21 0 [] -aNaturalNumber0(W0)|W0=sdtpldt0(sz00,W0).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtasdt0(W0,W1)=sdtasdt0(W1,W0).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2)).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)|sdtasdt0(W0,sz10)=W0.
% 2.02/2.21 0 [] -aNaturalNumber0(W0)|W0=sdtasdt0(sz10,W0).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)|sdtasdt0(W0,sz00)=sz00.
% 2.02/2.21 0 [] -aNaturalNumber0(W0)|sz00=sdtasdt0(sz00,W0).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(sdtpldt0(W1,W2),W0)=sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtpldt0(W0,W1)!=sdtpldt0(W0,W2)|W1=W2.
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtpldt0(W1,W0)!=sdtpldt0(W2,W0)|W1=W2.
% 2.02/2.21 0 [] -aNaturalNumber0(W0)|W0=sz00| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(W0,W1)!=sdtasdt0(W0,W2)|W1=W2.
% 2.02/2.21 0 [] -aNaturalNumber0(W0)|W0=sz00| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(W1,W0)!=sdtasdt0(W2,W0)|W1=W2.
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtpldt0(W0,W1)!=sz00|W0=sz00.
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtpldt0(W0,W1)!=sz00|W1=sz00.
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtasdt0(W0,W1)!=sz00|W0=sz00|W1=sz00.
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|aNaturalNumber0($f1(W0,W1)).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|sdtpldt0(W0,$f1(W0,W1))=W1.
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtpldt0(W0,W2)!=W1.
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|W2!=sdtmndt0(W1,W0)|aNaturalNumber0(W2).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|W2!=sdtmndt0(W1,W0)|sdtpldt0(W0,W2)=W1.
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|W2=sdtmndt0(W1,W0)| -aNaturalNumber0(W2)|sdtpldt0(W0,W2)!=W1.
% 2.02/2.21 0 [] -aNaturalNumber0(W0)|sdtlse_qdt0(W0,W0).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)| -sdtlse_qdt0(W1,W0)|W0=W1.
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)| -sdtlse_qdt0(W0,W1)| -sdtlse_qdt0(W1,W2)|sdtlse_qdt0(W0,W2).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtlse_qdt0(W0,W1)|W1!=W0.
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtlse_qdt0(W0,W1)|sdtlse_qdt0(W1,W0).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtpldt0(W2,W0)!=sdtpldt0(W2,W1).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtlse_qdt0(sdtpldt0(W2,W0),sdtpldt0(W2,W1)).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtpldt0(W0,W2)!=sdtpldt0(W1,W2).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtlse_qdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W2)).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=W2| -sdtlse_qdt0(W1,W2)|sdtasdt0(W0,W1)!=sdtasdt0(W0,W2).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=W2| -sdtlse_qdt0(W1,W2)|sdtlse_qdt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=W2| -sdtlse_qdt0(W1,W2)|sdtasdt0(W1,W0)!=sdtasdt0(W2,W0).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=W2| -sdtlse_qdt0(W1,W2)|sdtlse_qdt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=sz10|sz10!=W0.
% 2.02/2.21 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=sz10|sdtlse_qdt0(sz10,W0).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=sz00|sdtlse_qdt0(W1,sdtasdt0(W1,W0)).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -iLess0(W0,W1)|$T.
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)|iLess0(W0,W1).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -doDivides0(W0,W1)|aNaturalNumber0($f2(W0,W1)).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -doDivides0(W0,W1)|W1=sdtasdt0(W0,$f2(W0,W1)).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|doDivides0(W0,W1)| -aNaturalNumber0(W2)|W1!=sdtasdt0(W0,W2).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=sz00| -doDivides0(W0,W1)|W2!=sdtsldt0(W1,W0)|aNaturalNumber0(W2).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=sz00| -doDivides0(W0,W1)|W2!=sdtsldt0(W1,W0)|W1=sdtasdt0(W0,W2).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=sz00| -doDivides0(W0,W1)|W2=sdtsldt0(W1,W0)| -aNaturalNumber0(W2)|W1!=sdtasdt0(W0,W2).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)| -doDivides0(W0,W1)| -doDivides0(W1,W2)|doDivides0(W0,W2).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)| -doDivides0(W0,W1)| -doDivides0(W0,W2)|doDivides0(W0,sdtpldt0(W1,W2)).
% 2.02/2.21 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)| -doDivides0(W0,W1)| -doDivides0(W0,sdtpldt0(W1,W2))|doDivides0(W0,W2).
% 2.02/2.21 0 [] aNaturalNumber0(xm).
% 2.02/2.21 0 [] aNaturalNumber0(xn).
% 2.02/2.21 0 [] aNaturalNumber0($c1).
% 2.02/2.21 0 [] xn=sdtasdt0(xm,$c1).
% 2.02/2.21 0 [] doDivides0(xm,xn).
% 2.02/2.21 0 [] xn!=sz00.
% 2.02/2.21 0 [] -aNaturalNumber0(W0)|sdtpldt0(xm,W0)!=xn.
% 2.02/2.21 0 [] -sdtlse_qdt0(xm,xn).
% 2.02/2.21 end_of_list.
% 2.02/2.21
% 2.02/2.21 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 2.02/2.21
% 2.02/2.21 This ia a non-Horn set with equality. The strategy will be
% 2.02/2.21 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.02/2.21 deletion, with positive clauses in sos and nonpositive
% 2.02/2.21 clauses in usable.
% 2.02/2.21
% 2.02/2.21 dependent: set(knuth_bendix).
% 2.02/2.21 dependent: set(anl_eq).
% 2.02/2.21 dependent: set(para_from).
% 2.02/2.21 dependent: set(para_into).
% 2.02/2.21 dependent: clear(para_from_right).
% 2.02/2.21 dependent: clear(para_into_right).
% 2.02/2.21 dependent: set(para_from_vars).
% 2.02/2.21 dependent: set(eq_units_both_ways).
% 2.02/2.21 dependent: set(dynamic_demod_all).
% 2.02/2.21 dependent: set(dynamic_demod).
% 2.02/2.21 dependent: set(order_eq).
% 2.02/2.21 dependent: set(back_demod).
% 2.02/2.21 dependent: set(lrpo).
% 2.02/2.21 dependent: set(hyper_res).
% 2.02/2.21 dependent: set(unit_deletion).
% 2.02/2.21 dependent: set(factor).
% 2.02/2.21
% 2.02/2.21 ------------> process usable:
% 2.02/2.21 ** KEPT (pick-wt=3): 1 [] sz10!=sz00.
% 2.02/2.21 ** KEPT (pick-wt=8): 2 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|aNaturalNumber0(sdtpldt0(A,B)).
% 2.02/2.21 ** KEPT (pick-wt=8): 3 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|aNaturalNumber0(sdtasdt0(A,B)).
% 2.02/2.21 ** KEPT (pick-wt=11): 4 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtpldt0(A,B)=sdtpldt0(B,A).
% 2.02/2.21 ** KEPT (pick-wt=17): 5 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(sdtpldt0(A,B),C)=sdtpldt0(A,sdtpldt0(B,C)).
% 2.02/2.21 ** KEPT (pick-wt=7): 6 [] -aNaturalNumber0(A)|sdtpldt0(A,sz00)=A.
% 2.02/2.21 ** KEPT (pick-wt=7): 8 [copy,7,flip.2] -aNaturalNumber0(A)|sdtpldt0(sz00,A)=A.
% 2.02/2.21 ** KEPT (pick-wt=11): 9 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtasdt0(A,B)=sdtasdt0(B,A).
% 2.02/2.21 ** KEPT (pick-wt=17): 10 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtasdt0(sdtasdt0(A,B),C)=sdtasdt0(A,sdtasdt0(B,C)).
% 2.07/2.22 ** KEPT (pick-wt=7): 11 [] -aNaturalNumber0(A)|sdtasdt0(A,sz10)=A.
% 2.07/2.22 ** KEPT (pick-wt=7): 13 [copy,12,flip.2] -aNaturalNumber0(A)|sdtasdt0(sz10,A)=A.
% 2.07/2.22 ** KEPT (pick-wt=7): 14 [] -aNaturalNumber0(A)|sdtasdt0(A,sz00)=sz00.
% 2.07/2.22 ** KEPT (pick-wt=7): 16 [copy,15,flip.2] -aNaturalNumber0(A)|sdtasdt0(sz00,A)=sz00.
% 2.07/2.22 ** 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)).
% 2.07/2.22 ** 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).
% 2.07/2.22 ** KEPT (pick-wt=16): 21 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(A,B)!=sdtpldt0(A,C)|B=C.
% 2.07/2.22 ** KEPT (pick-wt=16): 22 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(B,A)!=sdtpldt0(C,A)|B=C.
% 2.07/2.22 ** KEPT (pick-wt=19): 23 [] -aNaturalNumber0(A)|A=sz00| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtasdt0(A,B)!=sdtasdt0(A,C)|B=C.
% 2.07/2.22 ** KEPT (pick-wt=19): 24 [] -aNaturalNumber0(A)|A=sz00| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtasdt0(B,A)!=sdtasdt0(C,A)|B=C.
% 2.07/2.22 ** KEPT (pick-wt=12): 25 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtpldt0(A,B)!=sz00|A=sz00.
% 2.07/2.22 ** KEPT (pick-wt=12): 26 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtpldt0(A,B)!=sz00|B=sz00.
% 2.07/2.22 ** KEPT (pick-wt=15): 27 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtasdt0(A,B)!=sz00|A=sz00|B=sz00.
% 2.07/2.22 ** KEPT (pick-wt=11): 28 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|aNaturalNumber0($f1(A,B)).
% 2.07/2.22 ** KEPT (pick-wt=14): 29 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|sdtpldt0(A,$f1(A,B))=B.
% 2.07/2.22 ** KEPT (pick-wt=14): 30 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtlse_qdt0(A,B)| -aNaturalNumber0(C)|sdtpldt0(A,C)!=B.
% 2.07/2.22 ** KEPT (pick-wt=14): 31 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|C!=sdtmndt0(B,A)|aNaturalNumber0(C).
% 2.07/2.22 ** KEPT (pick-wt=17): 32 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|C!=sdtmndt0(B,A)|sdtpldt0(A,C)=B.
% 2.07/2.22 ** KEPT (pick-wt=19): 33 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|C=sdtmndt0(B,A)| -aNaturalNumber0(C)|sdtpldt0(A,C)!=B.
% 2.07/2.22 ** KEPT (pick-wt=5): 34 [] -aNaturalNumber0(A)|sdtlse_qdt0(A,A).
% 2.07/2.22 ** KEPT (pick-wt=13): 35 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)| -sdtlse_qdt0(B,A)|A=B.
% 2.07/2.22 ** KEPT (pick-wt=15): 36 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)| -sdtlse_qdt0(A,B)| -sdtlse_qdt0(B,C)|sdtlse_qdt0(A,C).
% 2.07/2.22 ** KEPT (pick-wt=10): 37 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtlse_qdt0(A,B)|B!=A.
% 2.07/2.22 ** KEPT (pick-wt=10): 38 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtlse_qdt0(A,B)|sdtlse_qdt0(B,A).
% 2.07/2.22 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).
% 2.07/2.22 ** 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)).
% 2.07/2.22 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).
% 2.07/2.22 ** 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)).
% 2.07/2.22 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).
% 2.07/2.22 ** 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)).
% 2.07/2.22 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).
% 2.07/2.22 ** 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)).
% 2.07/2.27 ** KEPT (pick-wt=11): 43 [] -aNaturalNumber0(A)|A=sz00|A=sz10|sz10!=A.
% 2.07/2.27 ** KEPT (pick-wt=11): 44 [] -aNaturalNumber0(A)|A=sz00|A=sz10|sdtlse_qdt0(sz10,A).
% 2.07/2.27 ** KEPT (pick-wt=12): 45 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=sz00|sdtlse_qdt0(B,sdtasdt0(B,A)).
% 2.07/2.27 ** KEPT (pick-wt=13): 46 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=B| -sdtlse_qdt0(A,B)|iLess0(A,B).
% 2.07/2.27 ** KEPT (pick-wt=11): 47 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -doDivides0(A,B)|aNaturalNumber0($f2(A,B)).
% 2.07/2.27 ** KEPT (pick-wt=14): 49 [copy,48,flip.4] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -doDivides0(A,B)|sdtasdt0(A,$f2(A,B))=B.
% 2.07/2.27 ** KEPT (pick-wt=14): 50 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|doDivides0(A,B)| -aNaturalNumber0(C)|B!=sdtasdt0(A,C).
% 2.07/2.27 ** KEPT (pick-wt=17): 51 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=sz00| -doDivides0(A,B)|C!=sdtsldt0(B,A)|aNaturalNumber0(C).
% 2.07/2.27 ** KEPT (pick-wt=20): 52 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=sz00| -doDivides0(A,B)|C!=sdtsldt0(B,A)|B=sdtasdt0(A,C).
% 2.07/2.27 ** KEPT (pick-wt=22): 53 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=sz00| -doDivides0(A,B)|C=sdtsldt0(B,A)| -aNaturalNumber0(C)|B!=sdtasdt0(A,C).
% 2.07/2.27 ** KEPT (pick-wt=15): 54 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)| -doDivides0(A,B)| -doDivides0(B,C)|doDivides0(A,C).
% 2.07/2.27 ** KEPT (pick-wt=17): 55 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)| -doDivides0(A,B)| -doDivides0(A,C)|doDivides0(A,sdtpldt0(B,C)).
% 2.07/2.27 ** KEPT (pick-wt=17): 56 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)| -doDivides0(A,B)| -doDivides0(A,sdtpldt0(B,C))|doDivides0(A,C).
% 2.07/2.27 ** KEPT (pick-wt=3): 57 [] xn!=sz00.
% 2.07/2.27 ** KEPT (pick-wt=7): 58 [] -aNaturalNumber0(A)|sdtpldt0(xm,A)!=xn.
% 2.07/2.27 ** KEPT (pick-wt=3): 59 [] -sdtlse_qdt0(xm,xn).
% 2.07/2.27
% 2.07/2.27 ------------> process sos:
% 2.07/2.27 ** KEPT (pick-wt=3): 140 [] A=A.
% 2.07/2.27 ** KEPT (pick-wt=2): 141 [] aNaturalNumber0(sz00).
% 2.07/2.27 ** KEPT (pick-wt=2): 142 [] aNaturalNumber0(sz10).
% 2.07/2.27 ** KEPT (pick-wt=2): 143 [] aNaturalNumber0(xm).
% 2.07/2.27 ** KEPT (pick-wt=2): 144 [] aNaturalNumber0(xn).
% 2.07/2.27 ** KEPT (pick-wt=2): 145 [] aNaturalNumber0($c1).
% 2.07/2.27 ** KEPT (pick-wt=5): 147 [copy,146,flip.1] sdtasdt0(xm,$c1)=xn.
% 2.07/2.27 ---> New Demodulator: 148 [new_demod,147] sdtasdt0(xm,$c1)=xn.
% 2.07/2.27 ** KEPT (pick-wt=3): 149 [] doDivides0(xm,xn).
% 2.07/2.27 Following clause subsumed by 140 during input processing: 0 [copy,140,flip.1] A=A.
% 2.07/2.27 140 back subsumes 135.
% 2.07/2.27 140 back subsumes 134.
% 2.07/2.27 140 back subsumes 133.
% 2.07/2.27 140 back subsumes 101.
% 2.07/2.27 140 back subsumes 89.
% 2.07/2.27 140 back subsumes 85.
% 2.07/2.27 140 back subsumes 81.
% 2.07/2.27 140 back subsumes 78.
% 2.07/2.27 140 back subsumes 66.
% 2.07/2.27 140 back subsumes 62.
% 2.07/2.27 >>>> Starting back demodulation with 148.
% 2.07/2.27
% 2.07/2.27 ======= end of input processing =======
% 2.07/2.27
% 2.07/2.27 =========== start of search ===========
% 2.07/2.27
% 2.07/2.27 -------- PROOF --------
% 2.07/2.27
% 2.07/2.27 ----> UNIT CONFLICT at 0.06 sec ----> 1409 [binary,1408.1,140.1] $F.
% 2.07/2.27
% 2.07/2.27 Length of proof is 25. Level of proof is 8.
% 2.07/2.27
% 2.07/2.27 ---------------- PROOF ----------------
% 2.07/2.27 % SZS status Theorem
% 2.07/2.27 % SZS output start Refutation
% See solution above
% 2.07/2.27 ------------ end of proof -------------
% 2.07/2.27
% 2.07/2.27
% 2.07/2.27 Search stopped by max_proofs option.
% 2.07/2.27
% 2.07/2.27
% 2.07/2.27 Search stopped by max_proofs option.
% 2.07/2.27
% 2.07/2.27 ============ end of search ============
% 2.07/2.27
% 2.07/2.27 -------------- statistics -------------
% 2.07/2.27 clauses given 6
% 2.07/2.27 clauses generated 1987
% 2.07/2.27 clauses kept 825
% 2.07/2.27 clauses forward subsumed 1492
% 2.07/2.27 clauses back subsumed 13
% 2.07/2.27 Kbytes malloced 2929
% 2.07/2.27
% 2.07/2.27 ----------- times (seconds) -----------
% 2.07/2.27 user CPU time 0.06 (0 hr, 0 min, 0 sec)
% 2.07/2.27 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.07/2.27 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.07/2.27
% 2.07/2.27 That finishes the proof of the theorem.
% 2.07/2.27
% 2.07/2.27 Process 24846 finished Wed Jul 27 09:35:38 2022
% 2.07/2.27 Otter interrupted
% 2.07/2.27 PROOF FOUND
%------------------------------------------------------------------------------