%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : NUM476+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n004.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 9.25s 9.42s
% Output : Refutation 9.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 23
% Syntax : Number of clauses : 68 ( 46 unt; 3 nHn; 67 RR)
% Number of literals : 109 ( 56 equ; 42 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( ~ aNaturalNumber0(A)
| ~ aNaturalNumber0(B)
| aNaturalNumber0(sdtasdt0(A,B)) ),
file('NUM476+2.p',unknown),
[] ).
cnf(5,axiom,
( ~ aNaturalNumber0(A)
| ~ aNaturalNumber0(B)
| ~ aNaturalNumber0(C)
| sdtpldt0(sdtpldt0(A,B),C) = sdtpldt0(A,sdtpldt0(B,C)) ),
file('NUM476+2.p',unknown),
[] ).
cnf(7,axiom,
( ~ aNaturalNumber0(A)
| A = sdtpldt0(sz00,A) ),
file('NUM476+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('NUM476+2.p',unknown),
[] ).
cnf(11,axiom,
( ~ aNaturalNumber0(A)
| sdtasdt0(A,sz10) = A ),
file('NUM476+2.p',unknown),
[] ).
cnf(15,axiom,
( ~ aNaturalNumber0(A)
| sz00 = sdtasdt0(sz00,A) ),
file('NUM476+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('NUM476+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('NUM476+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(50,axiom,
( ~ aNaturalNumber0(A)
| ~ aNaturalNumber0(B)
| doDivides0(A,B)
| ~ aNaturalNumber0(C)
| B != sdtasdt0(A,C) ),
file('NUM476+2.p',unknown),
[] ).
cnf(56,axiom,
( ~ aNaturalNumber0(A)
| xn != sdtasdt0(xl,A) ),
file('NUM476+2.p',unknown),
[] ).
cnf(57,plain,
( ~ aNaturalNumber0(A)
| sdtasdt0(xl,A) != xn ),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[56])]),
[iquote('copy,56,flip.2')] ).
cnf(58,axiom,
~ doDivides0(xl,xn),
file('NUM476+2.p',unknown),
[] ).
cnf(62,plain,
( ~ aNaturalNumber0(A)
| ~ aNaturalNumber0(B)
| sdtpldt0(sdtpldt0(A,A),B) = sdtpldt0(A,sdtpldt0(A,B)) ),
inference(factor,[status(thm)],[5]),
[iquote('factor,5.1.2')] ).
cnf(69,plain,
( ~ aNaturalNumber0(A)
| ~ aNaturalNumber0(B)
| sdtpldt0(sdtasdt0(A,A),sdtasdt0(A,B)) = sdtasdt0(A,sdtpldt0(A,B)) ),
inference(factor,[status(thm)],[18]),
[iquote('factor,18.1.2')] ).
cnf(71,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(74,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(137,axiom,
A = A,
file('NUM476+2.p',unknown),
[] ).
cnf(138,axiom,
aNaturalNumber0(sz00),
file('NUM476+2.p',unknown),
[] ).
cnf(139,axiom,
aNaturalNumber0(sz10),
file('NUM476+2.p',unknown),
[] ).
cnf(140,axiom,
aNaturalNumber0(xl),
file('NUM476+2.p',unknown),
[] ).
cnf(141,axiom,
aNaturalNumber0(xm),
file('NUM476+2.p',unknown),
[] ).
cnf(142,axiom,
aNaturalNumber0(xn),
file('NUM476+2.p',unknown),
[] ).
cnf(143,axiom,
aNaturalNumber0(dollar_c1),
file('NUM476+2.p',unknown),
[] ).
cnf(144,axiom,
xm = sdtasdt0(xl,dollar_c1),
file('NUM476+2.p',unknown),
[] ).
cnf(146,plain,
sdtasdt0(xl,dollar_c1) = xm,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[144])]),
[iquote('copy,144,flip.1')] ).
cnf(148,axiom,
aNaturalNumber0(dollar_c2),
file('NUM476+2.p',unknown),
[] ).
cnf(150,axiom,
sdtpldt0(xm,xn) = sdtasdt0(xl,dollar_c2),
file('NUM476+2.p',unknown),
[] ).
cnf(166,axiom,
( xl = sz00
| aNaturalNumber0(dollar_c4) ),
file('NUM476+2.p',unknown),
[] ).
cnf(171,axiom,
( xl = sz00
| xn = sdtasdt0(xl,dollar_c4) ),
file('NUM476+2.p',unknown),
[] ).
cnf(172,plain,
( xl = sz00
| sdtasdt0(xl,dollar_c4) = xn ),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[171])]),
[iquote('copy,171,flip.2')] ).
cnf(185,plain,
sdtasdt0(sz00,sz00) = sz00,
inference(hyper,[status(thm)],[138,16]),
[iquote('hyper,138,16')] ).
cnf(191,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(hyper,[status(thm)],[138,8]),
[iquote('hyper,138,8')] ).
cnf(513,plain,
sdtpldt0(sdtasdt0(xm,sz10),sdtasdt0(xm,sz10)) = sdtasdt0(sdtpldt0(xm,xm),sz10),
inference(hyper,[status(thm)],[141,74,139]),
[iquote('hyper,141,74,139')] ).
cnf(555,plain,
sdtasdt0(sdtpldt0(xm,xm),sz10) = sdtasdt0(xm,sdtpldt0(sz10,sz10)),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[141,71,139]),513]),
[iquote('hyper,141,71,139,demod,513')] ).
cnf(745,plain,
sdtasdt0(xm,sz10) = xm,
inference(hyper,[status(thm)],[141,11]),
[iquote('hyper,141,11')] ).
cnf(814,plain,
sdtpldt0(xm,xm) = sdtasdt0(xm,sdtpldt0(sz10,sz10)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[513]),745,745,555]),
[iquote('back_demod,512,demod,745,745,555')] ).
cnf(1140,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(sz10,sz10)),xn) = sdtpldt0(xm,sdtasdt0(xl,dollar_c2)),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[142,62,141]),814,150]),
[iquote('hyper,142,62,141,demod,814,150')] ).
cnf(1316,plain,
sdtasdt0(sz00,xn) = sz00,
inference(hyper,[status(thm)],[142,16]),
[iquote('hyper,142,16')] ).
cnf(1376,plain,
sdtpldt0(sz00,xn) = xn,
inference(hyper,[status(thm)],[142,8]),
[iquote('hyper,142,8')] ).
cnf(1448,plain,
aNaturalNumber0(sdtasdt0(xl,xn)),
inference(hyper,[status(thm)],[142,3,140]),
[iquote('hyper,142,3,140')] ).
cnf(1733,plain,
sdtpldt0(sdtasdt0(sz00,dollar_c1),sdtasdt0(sz00,dollar_c1)) = sdtasdt0(sz00,dollar_c1),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[143,74,138]),191]),
[iquote('hyper,143,74,138,demod,191')] ).
cnf(1779,plain,
sdtasdt0(xm,sdtpldt0(sz10,sz10)) = sdtasdt0(xl,sdtpldt0(dollar_c1,dollar_c1)),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[143,71,140]),146,146,814]),
[iquote('hyper,143,71,140,demod,146,146,814')] ).
cnf(1782,plain,
sdtasdt0(sz00,sdtpldt0(dollar_c1,dollar_c1)) = sdtasdt0(sz00,dollar_c1),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[143,71,138]),1733])]),
[iquote('hyper,143,71,138,demod,1733,flip.1')] ).
cnf(2225,plain,
sdtasdt0(sz00,dollar_c1) = sz00,
inference(hyper,[status(thm)],[143,16]),
[iquote('hyper,143,16')] ).
cnf(2319,plain,
sdtasdt0(dollar_c1,xl) = xm,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[143,9,140]),146])]),
[iquote('hyper,143,9,140,demod,146,flip.1')] ).
cnf(2458,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(dollar_c1,dollar_c1)),xn) = sdtpldt0(xm,sdtasdt0(xl,dollar_c2)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1140]),1779]),
[iquote('back_demod,1140,demod,1779')] ).
cnf(2583,plain,
sdtasdt0(sz00,sdtpldt0(dollar_c1,dollar_c1)) = sz00,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1782]),2225]),
[iquote('back_demod,1782,demod,2225')] ).
cnf(3300,plain,
sdtpldt0(sz00,sdtasdt0(sz00,dollar_c2)) = sdtasdt0(sz00,sdtpldt0(sz00,dollar_c2)),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[148,69,138]),185]),
[iquote('hyper,148,69,138,demod,185')] ).
cnf(3509,plain,
sdtpldt0(xm,sdtasdt0(dollar_c2,xl)) = sdtasdt0(sdtpldt0(dollar_c1,dollar_c2),xl),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[148,20,140,143]),2319]),
[iquote('hyper,148,20,140,143,demod,2319')] ).
cnf(3688,plain,
sdtpldt0(xm,sdtasdt0(xl,dollar_c2)) = sdtasdt0(xl,sdtpldt0(dollar_c1,dollar_c2)),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[148,18,140,143]),146]),
[iquote('hyper,148,18,140,143,demod,146')] ).
cnf(3708,plain,
sdtasdt0(sz00,sdtpldt0(sz00,dollar_c2)) = sdtasdt0(sz00,sdtpldt0(dollar_c1,dollar_c2)),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[148,18,138,143]),2225,3300]),
[iquote('hyper,148,18,138,143,demod,2225,3300')] ).
cnf(3839,plain,
sdtasdt0(sz00,dollar_c2) = sz00,
inference(hyper,[status(thm)],[148,16]),
[iquote('hyper,148,16')] ).
cnf(3989,plain,
sdtasdt0(xl,dollar_c2) = sdtasdt0(dollar_c2,xl),
inference(hyper,[status(thm)],[148,9,140]),
[iquote('hyper,148,9,140')] ).
cnf(3993,plain,
sdtpldt0(sz00,dollar_c2) = dollar_c2,
inference(hyper,[status(thm)],[148,8]),
[iquote('hyper,148,8')] ).
cnf(4195,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(dollar_c1,dollar_c1)),xn) = sdtasdt0(sdtpldt0(dollar_c1,dollar_c2),xl),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[2458]),3989,3509]),
[iquote('back_demod,2458,demod,3989,3509')] ).
cnf(4450,plain,
sdtasdt0(sdtpldt0(dollar_c1,dollar_c2),xl) = sdtasdt0(xl,sdtpldt0(dollar_c1,dollar_c2)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[3688]),3989,3509]),
[iquote('back_demod,3688,demod,3989,3509')] ).
cnf(4515,plain,
sdtasdt0(sz00,sdtpldt0(dollar_c1,dollar_c2)) = sz00,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[3708]),3993,3839])]),
[iquote('back_demod,3708,demod,3993,3839,flip.1')] ).
cnf(4772,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(dollar_c1,dollar_c1)),xn) = sdtasdt0(xl,sdtpldt0(dollar_c1,dollar_c2)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[4195]),4450]),
[iquote('back_demod,4195,demod,4450')] ).
cnf(5237,plain,
doDivides0(xl,sdtasdt0(xl,xn)),
inference(hyper,[status(thm)],[1448,50,140,142,137]),
[iquote('hyper,1448,50,140,142,137')] ).
cnf(5278,plain,
xl = sz00,
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[172,57,166])]),
[iquote('hyper,172,57,166,factor_simp')] ).
cnf(5281,plain,
doDivides0(sz00,sz00),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[5237]),5278,5278,1316]),
[iquote('back_demod,5237,demod,5278,5278,1316')] ).
cnf(5286,plain,
xn = sz00,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[4772]),5278,2583,1376,5278,4515]),
[iquote('back_demod,4772,demod,5278,2583,1376,5278,4515')] ).
cnf(5287,plain,
~ doDivides0(sz00,sz00),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[58]),5278,5286]),
[iquote('back_demod,58,demod,5278,5286')] ).
cnf(5288,plain,
$false,
inference(binary,[status(thm)],[5287,5281]),
[iquote('binary,5287.1,5281.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM476+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Jul 27 09:49:21 EDT 2022
% 0.13/0.35 % CPUTime :
% 2.11/2.30 ----- Otter 3.3f, August 2004 -----
% 2.11/2.30 The process was started by sandbox on n004.cluster.edu,
% 2.11/2.30 Wed Jul 27 09:49:21 2022
% 2.11/2.30 The command was "./otter". The process ID is 19748.
% 2.11/2.30
% 2.11/2.30 set(prolog_style_variables).
% 2.11/2.30 set(auto).
% 2.11/2.30 dependent: set(auto1).
% 2.11/2.30 dependent: set(process_input).
% 2.11/2.30 dependent: clear(print_kept).
% 2.11/2.30 dependent: clear(print_new_demod).
% 2.11/2.30 dependent: clear(print_back_demod).
% 2.11/2.30 dependent: clear(print_back_sub).
% 2.11/2.30 dependent: set(control_memory).
% 2.11/2.30 dependent: assign(max_mem, 12000).
% 2.11/2.30 dependent: assign(pick_given_ratio, 4).
% 2.11/2.30 dependent: assign(stats_level, 1).
% 2.11/2.30 dependent: assign(max_seconds, 10800).
% 2.11/2.30 clear(print_given).
% 2.11/2.30
% 2.11/2.30 formula_list(usable).
% 2.11/2.30 all A (A=A).
% 2.11/2.30 all W0 (aNaturalNumber0(W0)->$T).
% 2.11/2.30 aNaturalNumber0(sz00).
% 2.11/2.30 aNaturalNumber0(sz10).
% 2.11/2.30 sz10!=sz00.
% 2.11/2.30 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->aNaturalNumber0(sdtpldt0(W0,W1))).
% 2.11/2.30 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->aNaturalNumber0(sdtasdt0(W0,W1))).
% 2.11/2.30 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->sdtpldt0(W0,W1)=sdtpldt0(W1,W0)).
% 2.11/2.30 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)->sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2))).
% 2.11/2.30 all W0 (aNaturalNumber0(W0)->sdtpldt0(W0,sz00)=W0&W0=sdtpldt0(sz00,W0)).
% 2.11/2.30 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->sdtasdt0(W0,W1)=sdtasdt0(W1,W0)).
% 2.11/2.30 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)->sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2))).
% 2.11/2.30 all W0 (aNaturalNumber0(W0)->sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)).
% 2.11/2.30 all W0 (aNaturalNumber0(W0)->sdtasdt0(W0,sz00)=sz00&sz00=sdtasdt0(sz00,W0)).
% 2.11/2.30 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))).
% 2.11/2.30 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (sdtpldt0(W0,W1)=sdtpldt0(W0,W2)|sdtpldt0(W1,W0)=sdtpldt0(W2,W0)->W1=W2)).
% 2.11/2.30 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))))).
% 2.11/2.30 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtpldt0(W0,W1)=sz00->W0=sz00&W1=sz00)).
% 2.11/2.30 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtasdt0(W0,W1)=sz00->W0=sz00|W1=sz00)).
% 2.11/2.30 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtlse_qdt0(W0,W1)<-> (exists W2 (aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))).
% 2.11/2.30 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtlse_qdt0(W0,W1)-> (all W2 (W2=sdtmndt0(W1,W0)<->aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))).
% 2.11/2.30 all W0 (aNaturalNumber0(W0)->sdtlse_qdt0(W0,W0)).
% 2.11/2.30 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtlse_qdt0(W0,W1)&sdtlse_qdt0(W1,W0)->W0=W1)).
% 2.11/2.30 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (sdtlse_qdt0(W0,W1)&sdtlse_qdt0(W1,W2)->sdtlse_qdt0(W0,W2))).
% 2.11/2.30 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->sdtlse_qdt0(W0,W1)|W1!=W0&sdtlse_qdt0(W1,W0)).
% 2.11/2.30 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)))))).
% 2.11/2.30 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)))).
% 2.11/2.30 all W0 (aNaturalNumber0(W0)->W0=sz00|W0=sz10|sz10!=W0&sdtlse_qdt0(sz10,W0)).
% 2.11/2.30 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (W0!=sz00->sdtlse_qdt0(W1,sdtasdt0(W1,W0)))).
% 2.11/2.30 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (iLess0(W0,W1)->$T)).
% 2.11/2.30 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (W0!=W1&sdtlse_qdt0(W0,W1)->iLess0(W0,W1))).
% 2.11/2.30 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (doDivides0(W0,W1)<-> (exists W2 (aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2))))).
% 2.11/2.30 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (W0!=sz00&doDivides0(W0,W1)-> (all W2 (W2=sdtsldt0(W1,W0)<->aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2))))).
% 2.11/2.31 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (doDivides0(W0,W1)&doDivides0(W1,W2)->doDivides0(W0,W2))).
% 2.11/2.31 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (doDivides0(W0,W1)&doDivides0(W0,W2)->doDivides0(W0,sdtpldt0(W1,W2)))).
% 2.11/2.31 aNaturalNumber0(xl).
% 2.11/2.31 aNaturalNumber0(xm).
% 2.11/2.31 aNaturalNumber0(xn).
% 2.11/2.31 exists W0 (aNaturalNumber0(W0)&xm=sdtasdt0(xl,W0)).
% 2.11/2.31 doDivides0(xl,xm).
% 2.11/2.31 exists W0 (aNaturalNumber0(W0)&sdtpldt0(xm,xn)=sdtasdt0(xl,W0)).
% 2.11/2.31 doDivides0(xl,sdtpldt0(xm,xn)).
% 2.11/2.31 -((xl!=sz00-> (exists W0 (aNaturalNumber0(W0)&xm=sdtasdt0(xl,W0)&W0=sdtsldt0(xm,xl)& (exists W1 (aNaturalNumber0(W1)&sdtpldt0(xm,xn)=sdtasdt0(xl,W1)&W1=sdtsldt0(sdtpldt0(xm,xn),xl)& (exists W2 (aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1))&sdtlse_qdt0(W0,W1)& (exists W2 (aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1&W2=sdtmndt0(W1,W0)&sdtpldt0(sdtasdt0(xl,W0),sdtasdt0(xl,W2))=sdtpldt0(sdtasdt0(xl,W0),xn)&xn=sdtasdt0(xl,W2))))))))-> (exists W0 (aNaturalNumber0(W0)&xn=sdtasdt0(xl,W0)))|doDivides0(xl,xn)).
% 2.11/2.31 end_of_list.
% 2.11/2.31
% 2.11/2.31 -------> usable clausifies to:
% 2.11/2.31
% 2.11/2.31 list(usable).
% 2.11/2.31 0 [] A=A.
% 2.11/2.31 0 [] -aNaturalNumber0(W0)|$T.
% 2.11/2.31 0 [] aNaturalNumber0(sz00).
% 2.11/2.31 0 [] aNaturalNumber0(sz10).
% 2.11/2.31 0 [] sz10!=sz00.
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|aNaturalNumber0(sdtpldt0(W0,W1)).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|aNaturalNumber0(sdtasdt0(W0,W1)).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtpldt0(W0,W1)=sdtpldt0(W1,W0).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2)).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)|sdtpldt0(W0,sz00)=W0.
% 2.11/2.31 0 [] -aNaturalNumber0(W0)|W0=sdtpldt0(sz00,W0).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtasdt0(W0,W1)=sdtasdt0(W1,W0).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2)).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)|sdtasdt0(W0,sz10)=W0.
% 2.11/2.31 0 [] -aNaturalNumber0(W0)|W0=sdtasdt0(sz10,W0).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)|sdtasdt0(W0,sz00)=sz00.
% 2.11/2.31 0 [] -aNaturalNumber0(W0)|sz00=sdtasdt0(sz00,W0).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(sdtpldt0(W1,W2),W0)=sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtpldt0(W0,W1)!=sdtpldt0(W0,W2)|W1=W2.
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtpldt0(W1,W0)!=sdtpldt0(W2,W0)|W1=W2.
% 2.11/2.31 0 [] -aNaturalNumber0(W0)|W0=sz00| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(W0,W1)!=sdtasdt0(W0,W2)|W1=W2.
% 2.11/2.31 0 [] -aNaturalNumber0(W0)|W0=sz00| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(W1,W0)!=sdtasdt0(W2,W0)|W1=W2.
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtpldt0(W0,W1)!=sz00|W0=sz00.
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtpldt0(W0,W1)!=sz00|W1=sz00.
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtasdt0(W0,W1)!=sz00|W0=sz00|W1=sz00.
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|aNaturalNumber0($f1(W0,W1)).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|sdtpldt0(W0,$f1(W0,W1))=W1.
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtpldt0(W0,W2)!=W1.
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|W2!=sdtmndt0(W1,W0)|aNaturalNumber0(W2).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|W2!=sdtmndt0(W1,W0)|sdtpldt0(W0,W2)=W1.
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|W2=sdtmndt0(W1,W0)| -aNaturalNumber0(W2)|sdtpldt0(W0,W2)!=W1.
% 2.11/2.31 0 [] -aNaturalNumber0(W0)|sdtlse_qdt0(W0,W0).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)| -sdtlse_qdt0(W1,W0)|W0=W1.
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)| -sdtlse_qdt0(W0,W1)| -sdtlse_qdt0(W1,W2)|sdtlse_qdt0(W0,W2).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtlse_qdt0(W0,W1)|W1!=W0.
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtlse_qdt0(W0,W1)|sdtlse_qdt0(W1,W0).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtpldt0(W2,W0)!=sdtpldt0(W2,W1).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtlse_qdt0(sdtpldt0(W2,W0),sdtpldt0(W2,W1)).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtpldt0(W0,W2)!=sdtpldt0(W1,W2).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtlse_qdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W2)).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=W2| -sdtlse_qdt0(W1,W2)|sdtasdt0(W0,W1)!=sdtasdt0(W0,W2).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=W2| -sdtlse_qdt0(W1,W2)|sdtlse_qdt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=W2| -sdtlse_qdt0(W1,W2)|sdtasdt0(W1,W0)!=sdtasdt0(W2,W0).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=W2| -sdtlse_qdt0(W1,W2)|sdtlse_qdt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=sz10|sz10!=W0.
% 2.11/2.31 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=sz10|sdtlse_qdt0(sz10,W0).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=sz00|sdtlse_qdt0(W1,sdtasdt0(W1,W0)).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -iLess0(W0,W1)|$T.
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)|iLess0(W0,W1).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -doDivides0(W0,W1)|aNaturalNumber0($f2(W0,W1)).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -doDivides0(W0,W1)|W1=sdtasdt0(W0,$f2(W0,W1)).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|doDivides0(W0,W1)| -aNaturalNumber0(W2)|W1!=sdtasdt0(W0,W2).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=sz00| -doDivides0(W0,W1)|W2!=sdtsldt0(W1,W0)|aNaturalNumber0(W2).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=sz00| -doDivides0(W0,W1)|W2!=sdtsldt0(W1,W0)|W1=sdtasdt0(W0,W2).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=sz00| -doDivides0(W0,W1)|W2=sdtsldt0(W1,W0)| -aNaturalNumber0(W2)|W1!=sdtasdt0(W0,W2).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)| -doDivides0(W0,W1)| -doDivides0(W1,W2)|doDivides0(W0,W2).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)| -doDivides0(W0,W1)| -doDivides0(W0,W2)|doDivides0(W0,sdtpldt0(W1,W2)).
% 2.11/2.31 0 [] aNaturalNumber0(xl).
% 2.11/2.31 0 [] aNaturalNumber0(xm).
% 2.11/2.31 0 [] aNaturalNumber0(xn).
% 2.11/2.31 0 [] aNaturalNumber0($c1).
% 2.11/2.31 0 [] xm=sdtasdt0(xl,$c1).
% 2.11/2.31 0 [] doDivides0(xl,xm).
% 2.11/2.31 0 [] aNaturalNumber0($c2).
% 2.11/2.31 0 [] sdtpldt0(xm,xn)=sdtasdt0(xl,$c2).
% 2.11/2.31 0 [] doDivides0(xl,sdtpldt0(xm,xn)).
% 2.11/2.31 0 [] xl=sz00|aNaturalNumber0($c6).
% 2.11/2.31 0 [] xl=sz00|xm=sdtasdt0(xl,$c6).
% 2.11/2.31 0 [] xl=sz00|$c6=sdtsldt0(xm,xl).
% 2.11/2.31 0 [] xl=sz00|aNaturalNumber0($c5).
% 2.11/2.31 0 [] xl=sz00|sdtpldt0(xm,xn)=sdtasdt0(xl,$c5).
% 2.11/2.31 0 [] xl=sz00|$c5=sdtsldt0(sdtpldt0(xm,xn),xl).
% 2.11/2.31 0 [] xl=sz00|aNaturalNumber0($c3).
% 2.11/2.31 0 [] xl=sz00|sdtpldt0($c6,$c3)=$c5.
% 2.11/2.31 0 [] xl=sz00|sdtlse_qdt0($c6,$c5).
% 2.11/2.31 0 [] xl=sz00|aNaturalNumber0($c4).
% 2.11/2.31 0 [] xl=sz00|sdtpldt0($c6,$c4)=$c5.
% 2.11/2.31 0 [] xl=sz00|$c4=sdtmndt0($c5,$c6).
% 2.11/2.31 0 [] xl=sz00|sdtpldt0(sdtasdt0(xl,$c6),sdtasdt0(xl,$c4))=sdtpldt0(sdtasdt0(xl,$c6),xn).
% 2.11/2.31 0 [] xl=sz00|xn=sdtasdt0(xl,$c4).
% 2.11/2.31 0 [] -aNaturalNumber0(W0)|xn!=sdtasdt0(xl,W0).
% 2.11/2.31 0 [] -doDivides0(xl,xn).
% 2.11/2.31 end_of_list.
% 2.11/2.31
% 2.11/2.31 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 2.11/2.31
% 2.11/2.31 This ia a non-Horn set with equality. The strategy will be
% 2.11/2.31 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.11/2.31 deletion, with positive clauses in sos and nonpositive
% 2.11/2.31 clauses in usable.
% 2.11/2.31
% 2.11/2.31 dependent: set(knuth_bendix).
% 2.11/2.31 dependent: set(anl_eq).
% 2.11/2.31 dependent: set(para_from).
% 2.11/2.31 dependent: set(para_into).
% 2.11/2.31 dependent: clear(para_from_right).
% 2.11/2.31 dependent: clear(para_into_right).
% 2.11/2.31 dependent: set(para_from_vars).
% 2.11/2.31 dependent: set(eq_units_both_ways).
% 2.11/2.31 dependent: set(dynamic_demod_all).
% 2.11/2.31 dependent: set(dynamic_demod).
% 2.11/2.31 dependent: set(order_eq).
% 2.11/2.33 dependent: set(back_demod).
% 2.11/2.33 dependent: set(lrpo).
% 2.11/2.33 dependent: set(hyper_res).
% 2.11/2.33 dependent: set(unit_deletion).
% 2.11/2.33 dependent: set(factor).
% 2.11/2.33
% 2.11/2.33 ------------> process usable:
% 2.11/2.33 ** KEPT (pick-wt=3): 1 [] sz10!=sz00.
% 2.11/2.33 ** KEPT (pick-wt=8): 2 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|aNaturalNumber0(sdtpldt0(A,B)).
% 2.11/2.33 ** KEPT (pick-wt=8): 3 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|aNaturalNumber0(sdtasdt0(A,B)).
% 2.11/2.33 ** KEPT (pick-wt=11): 4 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtpldt0(A,B)=sdtpldt0(B,A).
% 2.11/2.33 ** KEPT (pick-wt=17): 5 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(sdtpldt0(A,B),C)=sdtpldt0(A,sdtpldt0(B,C)).
% 2.11/2.33 ** KEPT (pick-wt=7): 6 [] -aNaturalNumber0(A)|sdtpldt0(A,sz00)=A.
% 2.11/2.33 ** KEPT (pick-wt=7): 8 [copy,7,flip.2] -aNaturalNumber0(A)|sdtpldt0(sz00,A)=A.
% 2.11/2.33 ** KEPT (pick-wt=11): 9 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtasdt0(A,B)=sdtasdt0(B,A).
% 2.11/2.33 ** KEPT (pick-wt=17): 10 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtasdt0(sdtasdt0(A,B),C)=sdtasdt0(A,sdtasdt0(B,C)).
% 2.11/2.33 ** KEPT (pick-wt=7): 11 [] -aNaturalNumber0(A)|sdtasdt0(A,sz10)=A.
% 2.11/2.33 ** KEPT (pick-wt=7): 13 [copy,12,flip.2] -aNaturalNumber0(A)|sdtasdt0(sz10,A)=A.
% 2.11/2.33 ** KEPT (pick-wt=7): 14 [] -aNaturalNumber0(A)|sdtasdt0(A,sz00)=sz00.
% 2.11/2.33 ** KEPT (pick-wt=7): 16 [copy,15,flip.2] -aNaturalNumber0(A)|sdtasdt0(sz00,A)=sz00.
% 2.11/2.33 ** 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)).
% 2.11/2.33 ** 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).
% 2.11/2.33 ** KEPT (pick-wt=16): 21 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(A,B)!=sdtpldt0(A,C)|B=C.
% 2.11/2.33 ** KEPT (pick-wt=16): 22 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(B,A)!=sdtpldt0(C,A)|B=C.
% 2.11/2.33 ** KEPT (pick-wt=19): 23 [] -aNaturalNumber0(A)|A=sz00| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtasdt0(A,B)!=sdtasdt0(A,C)|B=C.
% 2.11/2.33 ** KEPT (pick-wt=19): 24 [] -aNaturalNumber0(A)|A=sz00| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtasdt0(B,A)!=sdtasdt0(C,A)|B=C.
% 2.11/2.33 ** KEPT (pick-wt=12): 25 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtpldt0(A,B)!=sz00|A=sz00.
% 2.11/2.33 ** KEPT (pick-wt=12): 26 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtpldt0(A,B)!=sz00|B=sz00.
% 2.11/2.33 ** KEPT (pick-wt=15): 27 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtasdt0(A,B)!=sz00|A=sz00|B=sz00.
% 2.11/2.33 ** KEPT (pick-wt=11): 28 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|aNaturalNumber0($f1(A,B)).
% 2.11/2.33 ** KEPT (pick-wt=14): 29 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|sdtpldt0(A,$f1(A,B))=B.
% 2.11/2.33 ** KEPT (pick-wt=14): 30 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtlse_qdt0(A,B)| -aNaturalNumber0(C)|sdtpldt0(A,C)!=B.
% 2.11/2.33 ** KEPT (pick-wt=14): 31 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|C!=sdtmndt0(B,A)|aNaturalNumber0(C).
% 2.11/2.33 ** KEPT (pick-wt=17): 32 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|C!=sdtmndt0(B,A)|sdtpldt0(A,C)=B.
% 2.11/2.33 ** KEPT (pick-wt=19): 33 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|C=sdtmndt0(B,A)| -aNaturalNumber0(C)|sdtpldt0(A,C)!=B.
% 2.11/2.33 ** KEPT (pick-wt=5): 34 [] -aNaturalNumber0(A)|sdtlse_qdt0(A,A).
% 2.11/2.33 ** KEPT (pick-wt=13): 35 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)| -sdtlse_qdt0(B,A)|A=B.
% 2.11/2.33 ** KEPT (pick-wt=15): 36 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)| -sdtlse_qdt0(A,B)| -sdtlse_qdt0(B,C)|sdtlse_qdt0(A,C).
% 2.11/2.33 ** KEPT (pick-wt=10): 37 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtlse_qdt0(A,B)|B!=A.
% 2.11/2.33 ** KEPT (pick-wt=10): 38 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtlse_qdt0(A,B)|sdtlse_qdt0(B,A).
% 2.11/2.33 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).
% 2.11/2.33 ** 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)).
% 2.11/2.33 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).
% 2.11/2.33 ** 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)).
% 2.11/2.33 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).
% 2.11/2.33 ** 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)).
% 2.11/2.33 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).
% 2.11/2.33 ** 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)).
% 2.11/2.33 ** KEPT (pick-wt=11): 43 [] -aNaturalNumber0(A)|A=sz00|A=sz10|sz10!=A.
% 2.11/2.33 ** KEPT (pick-wt=11): 44 [] -aNaturalNumber0(A)|A=sz00|A=sz10|sdtlse_qdt0(sz10,A).
% 2.11/2.33 ** KEPT (pick-wt=12): 45 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=sz00|sdtlse_qdt0(B,sdtasdt0(B,A)).
% 2.11/2.33 ** KEPT (pick-wt=13): 46 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=B| -sdtlse_qdt0(A,B)|iLess0(A,B).
% 2.11/2.33 ** KEPT (pick-wt=11): 47 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -doDivides0(A,B)|aNaturalNumber0($f2(A,B)).
% 2.11/2.33 ** KEPT (pick-wt=14): 49 [copy,48,flip.4] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -doDivides0(A,B)|sdtasdt0(A,$f2(A,B))=B.
% 2.11/2.33 ** KEPT (pick-wt=14): 50 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|doDivides0(A,B)| -aNaturalNumber0(C)|B!=sdtasdt0(A,C).
% 2.11/2.33 ** KEPT (pick-wt=17): 51 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=sz00| -doDivides0(A,B)|C!=sdtsldt0(B,A)|aNaturalNumber0(C).
% 2.11/2.33 ** KEPT (pick-wt=20): 52 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=sz00| -doDivides0(A,B)|C!=sdtsldt0(B,A)|B=sdtasdt0(A,C).
% 2.11/2.33 ** KEPT (pick-wt=22): 53 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=sz00| -doDivides0(A,B)|C=sdtsldt0(B,A)| -aNaturalNumber0(C)|B!=sdtasdt0(A,C).
% 2.11/2.33 ** KEPT (pick-wt=15): 54 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)| -doDivides0(A,B)| -doDivides0(B,C)|doDivides0(A,C).
% 2.11/2.33 ** KEPT (pick-wt=17): 55 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)| -doDivides0(A,B)| -doDivides0(A,C)|doDivides0(A,sdtpldt0(B,C)).
% 2.11/2.33 ** KEPT (pick-wt=7): 57 [copy,56,flip.2] -aNaturalNumber0(A)|sdtasdt0(xl,A)!=xn.
% 2.11/2.33 ** KEPT (pick-wt=3): 58 [] -doDivides0(xl,xn).
% 2.11/2.33
% 2.11/2.33 ------------> process sos:
% 2.11/2.33 ** KEPT (pick-wt=3): 137 [] A=A.
% 2.11/2.33 ** KEPT (pick-wt=2): 138 [] aNaturalNumber0(sz00).
% 2.11/2.33 ** KEPT (pick-wt=2): 139 [] aNaturalNumber0(sz10).
% 2.11/2.33 ** KEPT (pick-wt=2): 140 [] aNaturalNumber0(xl).
% 2.11/2.33 ** KEPT (pick-wt=2): 141 [] aNaturalNumber0(xm).
% 2.11/2.33 ** KEPT (pick-wt=2): 142 [] aNaturalNumber0(xn).
% 2.11/2.33 ** KEPT (pick-wt=2): 143 [] aNaturalNumber0($c1).
% 2.11/2.33 ** KEPT (pick-wt=5): 145 [copy,144,flip.1] sdtasdt0(xl,$c1)=xm.
% 2.11/2.33 ---> New Demodulator: 146 [new_demod,145] sdtasdt0(xl,$c1)=xm.
% 2.11/2.33 ** KEPT (pick-wt=3): 147 [] doDivides0(xl,xm).
% 2.11/2.33 ** KEPT (pick-wt=2): 148 [] aNaturalNumber0($c2).
% 2.11/2.33 ** KEPT (pick-wt=7): 149 [] sdtpldt0(xm,xn)=sdtasdt0(xl,$c2).
% 2.11/2.33 ---> New Demodulator: 150 [new_demod,149] sdtpldt0(xm,xn)=sdtasdt0(xl,$c2).
% 2.11/2.33 ** KEPT (pick-wt=5): 152 [copy,151,demod,150] doDivides0(xl,sdtasdt0(xl,$c2)).
% 2.11/2.33 ** KEPT (pick-wt=5): 153 [] xl=sz00|aNaturalNumber0($c6).
% 2.11/2.33 ** KEPT (pick-wt=8): 155 [copy,154,flip.2] xl=sz00|sdtasdt0(xl,$c6)=xm.
% 2.11/2.33 ** KEPT (pick-wt=8): 157 [copy,156,flip.2] xl=sz00|sdtsldt0(xm,xl)=$c6.
% 2.11/2.33 ** KEPT (pick-wt=5): 158 [] xl=sz00|aNaturalNumber0($c5).
% 2.11/2.33 ** KEPT (pick-wt=10): 160 [copy,159,demod,150,flip.2] xl=sz00|sdtasdt0(xl,$c5)=sdtasdt0(xl,$c2).
% 2.11/2.33 ** KEPT (pick-wt=10): 162 [copy,161,demod,150,flip.2] xl=sz00|sdtsldt0(sdtasdt0(xl,$c2),xl)=$c5.
% 2.11/2.33 ** KEPT (pick-wt=5): 163 [] xl=sz00|aNaturalNumber0($c3).
% 2.11/2.33 ** KEPT (pick-wt=8): 164 [] xl=sz00|sdtpldt0($c6,$c3)=$c5.
% 2.11/2.33 ** KEPT (pick-wt=6): 165 [] xl=sz00|sdtlse_qdt0($c6,$c5).
% 2.11/2.33 ** KEPT (pick-wt=5): 166 [] xl=sz00|aNaturalNumber0($c4).
% 2.11/2.33 ** KEPT (pick-wt=8): 167 [] xl=sz00|sdtpldt0($c6,$c4)=$c5.
% 9.25/9.42 ** KEPT (pick-wt=8): 169 [copy,168,flip.2] xl=sz00|sdtmndt0($c5,$c6)=$c4.
% 9.25/9.42 ** KEPT (pick-wt=16): 170 [] xl=sz00|sdtpldt0(sdtasdt0(xl,$c6),sdtasdt0(xl,$c4))=sdtpldt0(sdtasdt0(xl,$c6),xn).
% 9.25/9.42 ** KEPT (pick-wt=8): 172 [copy,171,flip.2] xl=sz00|sdtasdt0(xl,$c4)=xn.
% 9.25/9.42 Following clause subsumed by 137 during input processing: 0 [copy,137,flip.1] A=A.
% 9.25/9.42 137 back subsumes 132.
% 9.25/9.42 137 back subsumes 131.
% 9.25/9.42 137 back subsumes 130.
% 9.25/9.42 137 back subsumes 100.
% 9.25/9.42 137 back subsumes 88.
% 9.25/9.42 137 back subsumes 84.
% 9.25/9.42 137 back subsumes 80.
% 9.25/9.42 137 back subsumes 77.
% 9.25/9.42 137 back subsumes 65.
% 9.25/9.42 137 back subsumes 61.
% 9.25/9.42 >>>> Starting back demodulation with 146.
% 9.25/9.42 >>>> Starting back demodulation with 150.
% 9.25/9.42
% 9.25/9.42 ======= end of input processing =======
% 9.25/9.42
% 9.25/9.42 =========== start of search ===========
% 9.25/9.42
% 9.25/9.42
% 9.25/9.42 Resetting weight limit to 5.
% 9.25/9.42
% 9.25/9.42
% 9.25/9.42 Resetting weight limit to 5.
% 9.25/9.42
% 9.25/9.42 sos_size=1375
% 9.25/9.42
% 9.25/9.42 -------- PROOF --------
% 9.25/9.42
% 9.25/9.42 ----> UNIT CONFLICT at 7.12 sec ----> 5288 [binary,5287.1,5281.1] $F.
% 9.25/9.42
% 9.25/9.42 Length of proof is 44. Level of proof is 11.
% 9.25/9.42
% 9.25/9.42 ---------------- PROOF ----------------
% 9.25/9.42 % SZS status Theorem
% 9.25/9.42 % SZS output start Refutation
% See solution above
% 9.25/9.42 ------------ end of proof -------------
% 9.25/9.42
% 9.25/9.42
% 9.25/9.42 Search stopped by max_proofs option.
% 9.25/9.42
% 9.25/9.42
% 9.25/9.42 Search stopped by max_proofs option.
% 9.25/9.42
% 9.25/9.42 ============ end of search ============
% 9.25/9.42
% 9.25/9.42 -------------- statistics -------------
% 9.25/9.42 clauses given 71
% 9.25/9.42 clauses generated 633564
% 9.25/9.42 clauses kept 3029
% 9.25/9.42 clauses forward subsumed 6584
% 9.25/9.42 clauses back subsumed 15
% 9.25/9.42 Kbytes malloced 4882
% 9.25/9.42
% 9.25/9.42 ----------- times (seconds) -----------
% 9.25/9.42 user CPU time 7.12 (0 hr, 0 min, 7 sec)
% 9.25/9.42 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 9.25/9.42 wall-clock time 9 (0 hr, 0 min, 9 sec)
% 9.25/9.42
% 9.25/9.42 That finishes the proof of the theorem.
% 9.25/9.42
% 9.25/9.42 Process 19748 finished Wed Jul 27 09:49:30 2022
% 9.25/9.42 Otter interrupted
% 9.25/9.42 PROOF FOUND
%------------------------------------------------------------------------------