%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : NUM500+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n025.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 13:08:36 EDT 2022
% Result : Theorem 13.49s 13.63s
% Output : Refutation 13.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 19
% Syntax : Number of clauses : 34 ( 22 unt; 5 nHn; 33 RR)
% Number of literals : 64 ( 22 equ; 26 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( ~ aNaturalNumber0(A)
| ~ aNaturalNumber0(B)
| aNaturalNumber0(sdtasdt0(A,B)) ),
file('NUM500+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ aNaturalNumber0(A)
| A = sdtpldt0(sz00,A) ),
file('NUM500+1.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('NUM500+1.p',unknown),
[] ).
cnf(30,axiom,
( ~ aNaturalNumber0(A)
| ~ aNaturalNumber0(B)
| sdtlse_qdt0(A,B)
| ~ aNaturalNumber0(C)
| sdtpldt0(A,C) != B ),
file('NUM500+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ aNaturalNumber0(A)
| ~ aNaturalNumber0(B)
| A = sz00
| ~ doDivides0(A,B)
| C != sdtsldt0(B,A)
| aNaturalNumber0(C) ),
file('NUM500+1.p',unknown),
[] ).
cnf(67,axiom,
( ~ aNaturalNumber0(A)
| A = sz00
| A = sz10
| aNaturalNumber0(dollar_f4(A)) ),
file('NUM500+1.p',unknown),
[] ).
cnf(68,axiom,
( ~ aNaturalNumber0(A)
| A = sz00
| A = sz10
| doDivides0(dollar_f4(A),A) ),
file('NUM500+1.p',unknown),
[] ).
cnf(69,axiom,
( ~ aNaturalNumber0(A)
| A = sz00
| A = sz10
| isPrime0(dollar_f4(A)) ),
file('NUM500+1.p',unknown),
[] ).
cnf(72,axiom,
~ sdtlse_qdt0(xp,xm),
file('NUM500+1.p',unknown),
[] ).
cnf(77,axiom,
xk != sz00,
file('NUM500+1.p',unknown),
[] ).
cnf(78,axiom,
xk != sz10,
file('NUM500+1.p',unknown),
[] ).
cnf(79,axiom,
( ~ aNaturalNumber0(A)
| ~ doDivides0(A,xk)
| ~ isPrime0(A) ),
file('NUM500+1.p',unknown),
[] ).
cnf(115,plain,
( ~ aNaturalNumber0(A)
| ~ aNaturalNumber0(B)
| sdtlse_qdt0(A,B)
| sdtpldt0(A,B) != B ),
inference(factor,[status(thm)],[30]),
[iquote('factor,30.2.4')] ).
cnf(171,axiom,
A = A,
file('NUM500+1.p',unknown),
[] ).
cnf(172,axiom,
aNaturalNumber0(sz00),
file('NUM500+1.p',unknown),
[] ).
cnf(174,axiom,
aNaturalNumber0(xn),
file('NUM500+1.p',unknown),
[] ).
cnf(175,axiom,
aNaturalNumber0(xm),
file('NUM500+1.p',unknown),
[] ).
cnf(176,axiom,
aNaturalNumber0(xp),
file('NUM500+1.p',unknown),
[] ).
cnf(178,axiom,
doDivides0(xp,sdtasdt0(xn,xm)),
file('NUM500+1.p',unknown),
[] ).
cnf(181,axiom,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
file('NUM500+1.p',unknown),
[] ).
cnf(182,plain,
sdtsldt0(sdtasdt0(xn,xm),xp) = xk,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[181])]),
[iquote('copy,181,flip.1')] ).
cnf(788,plain,
sdtasdt0(xn,xm) = sdtasdt0(xm,xn),
inference(hyper,[status(thm)],[175,9,174]),
[iquote('hyper,175,9,174')] ).
cnf(789,plain,
sdtpldt0(sz00,xm) = xm,
inference(hyper,[status(thm)],[175,8]),
[iquote('hyper,175,8')] ).
cnf(827,plain,
aNaturalNumber0(sdtasdt0(xm,xn)),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[175,3,174]),788]),
[iquote('hyper,175,3,174,demod,788')] ).
cnf(889,plain,
sdtsldt0(sdtasdt0(xm,xn),xp) = xk,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[182]),788]),
[iquote('back_demod,182,demod,788')] ).
cnf(890,plain,
doDivides0(xp,sdtasdt0(xm,xn)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[178]),788]),
[iquote('back_demod,178,demod,788')] ).
cnf(4580,plain,
sdtlse_qdt0(sz00,xm),
inference(hyper,[status(thm)],[789,115,172,175]),
[iquote('hyper,789,115,172,175')] ).
cnf(4608,plain,
( xp = sz00
| aNaturalNumber0(xk) ),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[890,51,176,827,171]),889]),
[iquote('hyper,890,51,176,827,171,demod,889')] ).
cnf(4765,plain,
aNaturalNumber0(xk),
inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[4608,72]),4580]),
[iquote('para_from,4608.1.1,72.1.1,unit_del,4580')] ).
cnf(4769,plain,
isPrime0(dollar_f4(xk)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4765,69]),77,78]),
[iquote('hyper,4765,69,unit_del,77,78')] ).
cnf(4770,plain,
doDivides0(dollar_f4(xk),xk),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4765,68]),77,78]),
[iquote('hyper,4765,68,unit_del,77,78')] ).
cnf(4771,plain,
aNaturalNumber0(dollar_f4(xk)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4765,67]),77,78]),
[iquote('hyper,4765,67,unit_del,77,78')] ).
cnf(5057,plain,
$false,
inference(hyper,[status(thm)],[4770,79,4771,4769]),
[iquote('hyper,4770,79,4771,4769')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM500+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 10:04:15 EDT 2022
% 0.19/0.34 % CPUTime :
% 2.31/2.46 ----- Otter 3.3f, August 2004 -----
% 2.31/2.46 The process was started by sandbox2 on n025.cluster.edu,
% 2.31/2.46 Wed Jul 27 10:04:15 2022
% 2.31/2.46 The command was "./otter". The process ID is 4523.
% 2.31/2.46
% 2.31/2.46 set(prolog_style_variables).
% 2.31/2.46 set(auto).
% 2.31/2.46 dependent: set(auto1).
% 2.31/2.46 dependent: set(process_input).
% 2.31/2.46 dependent: clear(print_kept).
% 2.31/2.46 dependent: clear(print_new_demod).
% 2.31/2.46 dependent: clear(print_back_demod).
% 2.31/2.46 dependent: clear(print_back_sub).
% 2.31/2.46 dependent: set(control_memory).
% 2.31/2.46 dependent: assign(max_mem, 12000).
% 2.31/2.46 dependent: assign(pick_given_ratio, 4).
% 2.31/2.46 dependent: assign(stats_level, 1).
% 2.31/2.46 dependent: assign(max_seconds, 10800).
% 2.31/2.46 clear(print_given).
% 2.31/2.46
% 2.31/2.46 formula_list(usable).
% 2.31/2.46 all A (A=A).
% 2.31/2.46 all W0 (aNaturalNumber0(W0)->$T).
% 2.31/2.46 aNaturalNumber0(sz00).
% 2.31/2.46 aNaturalNumber0(sz10).
% 2.31/2.46 sz10!=sz00.
% 2.31/2.46 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->aNaturalNumber0(sdtpldt0(W0,W1))).
% 2.31/2.46 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->aNaturalNumber0(sdtasdt0(W0,W1))).
% 2.31/2.46 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->sdtpldt0(W0,W1)=sdtpldt0(W1,W0)).
% 2.31/2.46 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)->sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2))).
% 2.31/2.46 all W0 (aNaturalNumber0(W0)->sdtpldt0(W0,sz00)=W0&W0=sdtpldt0(sz00,W0)).
% 2.31/2.46 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->sdtasdt0(W0,W1)=sdtasdt0(W1,W0)).
% 2.31/2.46 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)->sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2))).
% 2.31/2.46 all W0 (aNaturalNumber0(W0)->sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)).
% 2.31/2.46 all W0 (aNaturalNumber0(W0)->sdtasdt0(W0,sz00)=sz00&sz00=sdtasdt0(sz00,W0)).
% 2.31/2.46 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))).
% 2.31/2.46 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (sdtpldt0(W0,W1)=sdtpldt0(W0,W2)|sdtpldt0(W1,W0)=sdtpldt0(W2,W0)->W1=W2)).
% 2.31/2.46 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))))).
% 2.31/2.46 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtpldt0(W0,W1)=sz00->W0=sz00&W1=sz00)).
% 2.31/2.46 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtasdt0(W0,W1)=sz00->W0=sz00|W1=sz00)).
% 2.31/2.46 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtlse_qdt0(W0,W1)<-> (exists W2 (aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))).
% 2.31/2.46 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtlse_qdt0(W0,W1)-> (all W2 (W2=sdtmndt0(W1,W0)<->aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))).
% 2.31/2.46 all W0 (aNaturalNumber0(W0)->sdtlse_qdt0(W0,W0)).
% 2.31/2.46 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtlse_qdt0(W0,W1)&sdtlse_qdt0(W1,W0)->W0=W1)).
% 2.31/2.46 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (sdtlse_qdt0(W0,W1)&sdtlse_qdt0(W1,W2)->sdtlse_qdt0(W0,W2))).
% 2.31/2.46 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->sdtlse_qdt0(W0,W1)|W1!=W0&sdtlse_qdt0(W1,W0)).
% 2.31/2.46 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)))))).
% 2.31/2.46 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)))).
% 2.31/2.46 all W0 (aNaturalNumber0(W0)->W0=sz00|W0=sz10|sz10!=W0&sdtlse_qdt0(sz10,W0)).
% 2.31/2.46 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (W0!=sz00->sdtlse_qdt0(W1,sdtasdt0(W1,W0)))).
% 2.31/2.46 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (iLess0(W0,W1)->$T)).
% 2.31/2.46 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (W0!=W1&sdtlse_qdt0(W0,W1)->iLess0(W0,W1))).
% 2.31/2.46 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (doDivides0(W0,W1)<-> (exists W2 (aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2))))).
% 2.31/2.46 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (W0!=sz00&doDivides0(W0,W1)-> (all W2 (W2=sdtsldt0(W1,W0)<->aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2))))).
% 2.31/2.46 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (doDivides0(W0,W1)&doDivides0(W1,W2)->doDivides0(W0,W2))).
% 2.31/2.46 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (doDivides0(W0,W1)&doDivides0(W0,W2)->doDivides0(W0,sdtpldt0(W1,W2)))).
% 2.31/2.46 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (doDivides0(W0,W1)&doDivides0(W0,sdtpldt0(W1,W2))->doDivides0(W0,W2))).
% 2.31/2.46 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (doDivides0(W0,W1)&W1!=sz00->sdtlse_qdt0(W0,W1))).
% 2.31/2.46 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))))).
% 2.31/2.46 all W0 (aNaturalNumber0(W0)-> (isPrime0(W0)<->W0!=sz00&W0!=sz10& (all W1 (aNaturalNumber0(W1)&doDivides0(W1,W0)->W1=sz10|W1=W0)))).
% 2.31/2.46 all W0 (aNaturalNumber0(W0)&W0!=sz00&W0!=sz10-> (exists W1 (aNaturalNumber0(W1)&doDivides0(W1,W0)&isPrime0(W1)))).
% 2.31/2.46 aNaturalNumber0(xn).
% 2.31/2.46 aNaturalNumber0(xm).
% 2.31/2.46 aNaturalNumber0(xp).
% 2.31/2.46 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (isPrime0(W2)&doDivides0(W2,sdtasdt0(W0,W1))-> (iLess0(sdtpldt0(sdtpldt0(W0,W1),W2),sdtpldt0(sdtpldt0(xn,xm),xp))->doDivides0(W2,W0)|doDivides0(W2,W1)))).
% 2.31/2.46 isPrime0(xp).
% 2.31/2.46 doDivides0(xp,sdtasdt0(xn,xm)).
% 2.31/2.46 -sdtlse_qdt0(xp,xn).
% 2.31/2.46 -sdtlse_qdt0(xp,xm).
% 2.31/2.46 xn!=xp.
% 2.31/2.46 sdtlse_qdt0(xn,xp).
% 2.31/2.46 xm!=xp.
% 2.31/2.46 sdtlse_qdt0(xm,xp).
% 2.31/2.46 xk=sdtsldt0(sdtasdt0(xn,xm),xp).
% 2.31/2.46 -(xk=sz00|xk=sz10).
% 2.31/2.46 xk!=sz00.
% 2.31/2.46 xk!=sz10.
% 2.31/2.46 -(exists W0 (aNaturalNumber0(W0)&doDivides0(W0,xk)&isPrime0(W0))).
% 2.31/2.46 end_of_list.
% 2.31/2.46
% 2.31/2.46 -------> usable clausifies to:
% 2.31/2.46
% 2.31/2.46 list(usable).
% 2.31/2.46 0 [] A=A.
% 2.31/2.46 0 [] -aNaturalNumber0(W0)|$T.
% 2.31/2.46 0 [] aNaturalNumber0(sz00).
% 2.31/2.46 0 [] aNaturalNumber0(sz10).
% 2.31/2.46 0 [] sz10!=sz00.
% 2.31/2.46 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|aNaturalNumber0(sdtpldt0(W0,W1)).
% 2.31/2.46 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|aNaturalNumber0(sdtasdt0(W0,W1)).
% 2.31/2.46 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtpldt0(W0,W1)=sdtpldt0(W1,W0).
% 2.31/2.46 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2)).
% 2.31/2.46 0 [] -aNaturalNumber0(W0)|sdtpldt0(W0,sz00)=W0.
% 2.31/2.46 0 [] -aNaturalNumber0(W0)|W0=sdtpldt0(sz00,W0).
% 2.31/2.46 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtasdt0(W0,W1)=sdtasdt0(W1,W0).
% 2.31/2.46 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2)).
% 2.31/2.46 0 [] -aNaturalNumber0(W0)|sdtasdt0(W0,sz10)=W0.
% 2.31/2.46 0 [] -aNaturalNumber0(W0)|W0=sdtasdt0(sz10,W0).
% 2.31/2.46 0 [] -aNaturalNumber0(W0)|sdtasdt0(W0,sz00)=sz00.
% 2.31/2.46 0 [] -aNaturalNumber0(W0)|sz00=sdtasdt0(sz00,W0).
% 2.31/2.46 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)).
% 2.31/2.46 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(sdtpldt0(W1,W2),W0)=sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)).
% 2.31/2.46 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtpldt0(W0,W1)!=sdtpldt0(W0,W2)|W1=W2.
% 2.31/2.46 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtpldt0(W1,W0)!=sdtpldt0(W2,W0)|W1=W2.
% 2.31/2.46 0 [] -aNaturalNumber0(W0)|W0=sz00| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(W0,W1)!=sdtasdt0(W0,W2)|W1=W2.
% 2.31/2.46 0 [] -aNaturalNumber0(W0)|W0=sz00| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(W1,W0)!=sdtasdt0(W2,W0)|W1=W2.
% 2.31/2.46 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtpldt0(W0,W1)!=sz00|W0=sz00.
% 2.31/2.46 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtpldt0(W0,W1)!=sz00|W1=sz00.
% 2.31/2.46 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtasdt0(W0,W1)!=sz00|W0=sz00|W1=sz00.
% 2.31/2.46 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|aNaturalNumber0($f1(W0,W1)).
% 2.31/2.46 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|sdtpldt0(W0,$f1(W0,W1))=W1.
% 2.31/2.46 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtpldt0(W0,W2)!=W1.
% 2.31/2.46 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|W2!=sdtmndt0(W1,W0)|aNaturalNumber0(W2).
% 2.31/2.46 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|W2!=sdtmndt0(W1,W0)|sdtpldt0(W0,W2)=W1.
% 2.31/2.47 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|W2=sdtmndt0(W1,W0)| -aNaturalNumber0(W2)|sdtpldt0(W0,W2)!=W1.
% 2.31/2.47 0 [] -aNaturalNumber0(W0)|sdtlse_qdt0(W0,W0).
% 2.31/2.47 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)| -sdtlse_qdt0(W1,W0)|W0=W1.
% 2.31/2.47 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)| -sdtlse_qdt0(W0,W1)| -sdtlse_qdt0(W1,W2)|sdtlse_qdt0(W0,W2).
% 2.31/2.47 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtlse_qdt0(W0,W1)|W1!=W0.
% 2.31/2.47 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtlse_qdt0(W0,W1)|sdtlse_qdt0(W1,W0).
% 2.31/2.47 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtpldt0(W2,W0)!=sdtpldt0(W2,W1).
% 2.31/2.47 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtlse_qdt0(sdtpldt0(W2,W0),sdtpldt0(W2,W1)).
% 2.31/2.47 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtpldt0(W0,W2)!=sdtpldt0(W1,W2).
% 2.31/2.47 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtlse_qdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W2)).
% 2.31/2.47 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=W2| -sdtlse_qdt0(W1,W2)|sdtasdt0(W0,W1)!=sdtasdt0(W0,W2).
% 2.31/2.47 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=W2| -sdtlse_qdt0(W1,W2)|sdtlse_qdt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)).
% 2.31/2.47 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=W2| -sdtlse_qdt0(W1,W2)|sdtasdt0(W1,W0)!=sdtasdt0(W2,W0).
% 2.31/2.47 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|W0=sz00|W1=W2| -sdtlse_qdt0(W1,W2)|sdtlse_qdt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)).
% 2.31/2.47 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=sz10|sz10!=W0.
% 2.31/2.47 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=sz10|sdtlse_qdt0(sz10,W0).
% 2.31/2.47 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=sz00|sdtlse_qdt0(W1,sdtasdt0(W1,W0)).
% 2.31/2.47 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -iLess0(W0,W1)|$T.
% 2.31/2.47 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=W1| -sdtlse_qdt0(W0,W1)|iLess0(W0,W1).
% 2.31/2.47 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -doDivides0(W0,W1)|aNaturalNumber0($f2(W0,W1)).
% 2.31/2.47 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -doDivides0(W0,W1)|W1=sdtasdt0(W0,$f2(W0,W1)).
% 2.31/2.47 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|doDivides0(W0,W1)| -aNaturalNumber0(W2)|W1!=sdtasdt0(W0,W2).
% 2.31/2.47 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=sz00| -doDivides0(W0,W1)|W2!=sdtsldt0(W1,W0)|aNaturalNumber0(W2).
% 2.31/2.47 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=sz00| -doDivides0(W0,W1)|W2!=sdtsldt0(W1,W0)|W1=sdtasdt0(W0,W2).
% 2.31/2.47 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=sz00| -doDivides0(W0,W1)|W2=sdtsldt0(W1,W0)| -aNaturalNumber0(W2)|W1!=sdtasdt0(W0,W2).
% 2.31/2.47 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)| -doDivides0(W0,W1)| -doDivides0(W1,W2)|doDivides0(W0,W2).
% 2.31/2.47 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)| -doDivides0(W0,W1)| -doDivides0(W0,W2)|doDivides0(W0,sdtpldt0(W1,W2)).
% 2.31/2.47 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)| -doDivides0(W0,W1)| -doDivides0(W0,sdtpldt0(W1,W2))|doDivides0(W0,W2).
% 2.31/2.47 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -doDivides0(W0,W1)|W1=sz00|sdtlse_qdt0(W0,W1).
% 2.31/2.47 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|W0=sz00| -doDivides0(W0,W1)| -aNaturalNumber0(W2)|sdtasdt0(W2,sdtsldt0(W1,W0))=sdtsldt0(sdtasdt0(W2,W1),W0).
% 2.31/2.47 0 [] -aNaturalNumber0(W0)| -isPrime0(W0)|W0!=sz00.
% 2.31/2.47 0 [] -aNaturalNumber0(W0)| -isPrime0(W0)|W0!=sz10.
% 2.31/2.47 0 [] -aNaturalNumber0(W0)| -isPrime0(W0)| -aNaturalNumber0(W1)| -doDivides0(W1,W0)|W1=sz10|W1=W0.
% 2.31/2.47 0 [] -aNaturalNumber0(W0)|isPrime0(W0)|W0=sz00|W0=sz10|aNaturalNumber0($f3(W0)).
% 2.31/2.47 0 [] -aNaturalNumber0(W0)|isPrime0(W0)|W0=sz00|W0=sz10|doDivides0($f3(W0),W0).
% 2.31/2.47 0 [] -aNaturalNumber0(W0)|isPrime0(W0)|W0=sz00|W0=sz10|$f3(W0)!=sz10.
% 2.31/2.47 0 [] -aNaturalNumber0(W0)|isPrime0(W0)|W0=sz00|W0=sz10|$f3(W0)!=W0.
% 2.31/2.47 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=sz10|aNaturalNumber0($f4(W0)).
% 2.31/2.47 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=sz10|doDivides0($f4(W0),W0).
% 2.31/2.47 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=sz10|isPrime0($f4(W0)).
% 2.31/2.47 0 [] aNaturalNumber0(xn).
% 2.31/2.47 0 [] aNaturalNumber0(xm).
% 2.31/2.47 0 [] aNaturalNumber0(xp).
% 2.31/2.47 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)| -isPrime0(W2)| -doDivides0(W2,sdtasdt0(W0,W1))| -iLess0(sdtpldt0(sdtpldt0(W0,W1),W2),sdtpldt0(sdtpldt0(xn,xm),xp))|doDivides0(W2,W0)|doDivides0(W2,W1).
% 2.31/2.47 0 [] isPrime0(xp).
% 2.31/2.47 0 [] doDivides0(xp,sdtasdt0(xn,xm)).
% 2.31/2.47 0 [] -sdtlse_qdt0(xp,xn).
% 2.31/2.47 0 [] -sdtlse_qdt0(xp,xm).
% 2.31/2.47 0 [] xn!=xp.
% 2.31/2.47 0 [] sdtlse_qdt0(xn,xp).
% 2.31/2.47 0 [] xm!=xp.
% 2.31/2.47 0 [] sdtlse_qdt0(xm,xp).
% 2.31/2.47 0 [] xk=sdtsldt0(sdtasdt0(xn,xm),xp).
% 2.31/2.47 0 [] xk!=sz00.
% 2.31/2.47 0 [] xk!=sz10.
% 2.31/2.47 0 [] xk!=sz00.
% 2.31/2.47 0 [] xk!=sz10.
% 2.31/2.47 0 [] -aNaturalNumber0(W0)| -doDivides0(W0,xk)| -isPrime0(W0).
% 2.31/2.47 end_of_list.
% 2.31/2.47
% 2.31/2.47 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 2.31/2.47
% 2.31/2.47 This ia a non-Horn set with equality. The strategy will be
% 2.31/2.47 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.31/2.47 deletion, with positive clauses in sos and nonpositive
% 2.31/2.47 clauses in usable.
% 2.31/2.47
% 2.31/2.47 dependent: set(knuth_bendix).
% 2.31/2.47 dependent: set(anl_eq).
% 2.31/2.47 dependent: set(para_from).
% 2.31/2.47 dependent: set(para_into).
% 2.31/2.47 dependent: clear(para_from_right).
% 2.31/2.47 dependent: clear(para_into_right).
% 2.31/2.47 dependent: set(para_from_vars).
% 2.31/2.47 dependent: set(eq_units_both_ways).
% 2.31/2.47 dependent: set(dynamic_demod_all).
% 2.31/2.47 dependent: set(dynamic_demod).
% 2.31/2.47 dependent: set(order_eq).
% 2.31/2.47 dependent: set(back_demod).
% 2.31/2.47 dependent: set(lrpo).
% 2.31/2.47 dependent: set(hyper_res).
% 2.31/2.47 dependent: set(unit_deletion).
% 2.31/2.47 dependent: set(factor).
% 2.31/2.47
% 2.31/2.47 ------------> process usable:
% 2.31/2.47 ** KEPT (pick-wt=3): 1 [] sz10!=sz00.
% 2.31/2.47 ** KEPT (pick-wt=8): 2 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|aNaturalNumber0(sdtpldt0(A,B)).
% 2.31/2.47 ** KEPT (pick-wt=8): 3 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|aNaturalNumber0(sdtasdt0(A,B)).
% 2.31/2.47 ** KEPT (pick-wt=11): 4 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtpldt0(A,B)=sdtpldt0(B,A).
% 2.31/2.47 ** KEPT (pick-wt=17): 5 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(sdtpldt0(A,B),C)=sdtpldt0(A,sdtpldt0(B,C)).
% 2.31/2.47 ** KEPT (pick-wt=7): 6 [] -aNaturalNumber0(A)|sdtpldt0(A,sz00)=A.
% 2.31/2.47 ** KEPT (pick-wt=7): 8 [copy,7,flip.2] -aNaturalNumber0(A)|sdtpldt0(sz00,A)=A.
% 2.31/2.47 ** KEPT (pick-wt=11): 9 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtasdt0(A,B)=sdtasdt0(B,A).
% 2.31/2.47 ** KEPT (pick-wt=17): 10 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtasdt0(sdtasdt0(A,B),C)=sdtasdt0(A,sdtasdt0(B,C)).
% 2.31/2.47 ** KEPT (pick-wt=7): 11 [] -aNaturalNumber0(A)|sdtasdt0(A,sz10)=A.
% 2.31/2.47 ** KEPT (pick-wt=7): 13 [copy,12,flip.2] -aNaturalNumber0(A)|sdtasdt0(sz10,A)=A.
% 2.31/2.47 ** KEPT (pick-wt=7): 14 [] -aNaturalNumber0(A)|sdtasdt0(A,sz00)=sz00.
% 2.31/2.47 ** KEPT (pick-wt=7): 16 [copy,15,flip.2] -aNaturalNumber0(A)|sdtasdt0(sz00,A)=sz00.
% 2.31/2.47 ** 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)).
% 2.31/2.47 ** 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).
% 2.31/2.47 ** KEPT (pick-wt=16): 21 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(A,B)!=sdtpldt0(A,C)|B=C.
% 2.31/2.47 ** KEPT (pick-wt=16): 22 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(B,A)!=sdtpldt0(C,A)|B=C.
% 2.31/2.47 ** KEPT (pick-wt=19): 23 [] -aNaturalNumber0(A)|A=sz00| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtasdt0(A,B)!=sdtasdt0(A,C)|B=C.
% 2.31/2.47 ** KEPT (pick-wt=19): 24 [] -aNaturalNumber0(A)|A=sz00| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtasdt0(B,A)!=sdtasdt0(C,A)|B=C.
% 2.31/2.47 ** KEPT (pick-wt=12): 25 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtpldt0(A,B)!=sz00|A=sz00.
% 2.31/2.47 ** KEPT (pick-wt=12): 26 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtpldt0(A,B)!=sz00|B=sz00.
% 2.31/2.47 ** KEPT (pick-wt=15): 27 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtasdt0(A,B)!=sz00|A=sz00|B=sz00.
% 2.31/2.47 ** KEPT (pick-wt=11): 28 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|aNaturalNumber0($f1(A,B)).
% 2.31/2.47 ** KEPT (pick-wt=14): 29 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|sdtpldt0(A,$f1(A,B))=B.
% 2.31/2.47 ** KEPT (pick-wt=14): 30 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtlse_qdt0(A,B)| -aNaturalNumber0(C)|sdtpldt0(A,C)!=B.
% 2.36/2.50 ** KEPT (pick-wt=14): 31 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|C!=sdtmndt0(B,A)|aNaturalNumber0(C).
% 2.36/2.50 ** KEPT (pick-wt=17): 32 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|C!=sdtmndt0(B,A)|sdtpldt0(A,C)=B.
% 2.36/2.50 ** KEPT (pick-wt=19): 33 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|C=sdtmndt0(B,A)| -aNaturalNumber0(C)|sdtpldt0(A,C)!=B.
% 2.36/2.50 ** KEPT (pick-wt=5): 34 [] -aNaturalNumber0(A)|sdtlse_qdt0(A,A).
% 2.36/2.50 ** KEPT (pick-wt=13): 35 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)| -sdtlse_qdt0(B,A)|A=B.
% 2.36/2.50 ** KEPT (pick-wt=15): 36 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)| -sdtlse_qdt0(A,B)| -sdtlse_qdt0(B,C)|sdtlse_qdt0(A,C).
% 2.36/2.50 ** KEPT (pick-wt=10): 37 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtlse_qdt0(A,B)|B!=A.
% 2.36/2.50 ** KEPT (pick-wt=10): 38 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtlse_qdt0(A,B)|sdtlse_qdt0(B,A).
% 2.36/2.50 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).
% 2.36/2.50 ** 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)).
% 2.36/2.50 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).
% 2.36/2.50 ** 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)).
% 2.36/2.50 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).
% 2.36/2.50 ** 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)).
% 2.36/2.50 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).
% 2.36/2.50 ** 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)).
% 2.36/2.50 ** KEPT (pick-wt=11): 43 [] -aNaturalNumber0(A)|A=sz00|A=sz10|sz10!=A.
% 2.36/2.50 ** KEPT (pick-wt=11): 44 [] -aNaturalNumber0(A)|A=sz00|A=sz10|sdtlse_qdt0(sz10,A).
% 2.36/2.50 ** KEPT (pick-wt=12): 45 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=sz00|sdtlse_qdt0(B,sdtasdt0(B,A)).
% 2.36/2.50 ** KEPT (pick-wt=13): 46 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=B| -sdtlse_qdt0(A,B)|iLess0(A,B).
% 2.36/2.50 ** KEPT (pick-wt=11): 47 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -doDivides0(A,B)|aNaturalNumber0($f2(A,B)).
% 2.36/2.50 ** KEPT (pick-wt=14): 49 [copy,48,flip.4] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -doDivides0(A,B)|sdtasdt0(A,$f2(A,B))=B.
% 2.36/2.50 ** KEPT (pick-wt=14): 50 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|doDivides0(A,B)| -aNaturalNumber0(C)|B!=sdtasdt0(A,C).
% 2.36/2.50 ** KEPT (pick-wt=17): 51 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=sz00| -doDivides0(A,B)|C!=sdtsldt0(B,A)|aNaturalNumber0(C).
% 2.36/2.50 ** KEPT (pick-wt=20): 52 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=sz00| -doDivides0(A,B)|C!=sdtsldt0(B,A)|B=sdtasdt0(A,C).
% 2.36/2.50 ** KEPT (pick-wt=22): 53 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|A=sz00| -doDivides0(A,B)|C=sdtsldt0(B,A)| -aNaturalNumber0(C)|B!=sdtasdt0(A,C).
% 2.36/2.50 ** KEPT (pick-wt=15): 54 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)| -doDivides0(A,B)| -doDivides0(B,C)|doDivides0(A,C).
% 2.36/2.50 ** KEPT (pick-wt=17): 55 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)| -doDivides0(A,B)| -doDivides0(A,C)|doDivides0(A,sdtpldt0(B,C)).
% 2.36/2.50 ** KEPT (pick-wt=17): 56 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)| -doDivides0(A,B)| -doDivides0(A,sdtpldt0(B,C))|doDivides0(A,C).
% 2.36/2.50 ** KEPT (pick-wt=13): 57 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -doDivides0(A,B)|B=sz00|sdtlse_qdt0(A,B).
% 2.36/2.50 ** 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)).
% 13.49/13.63 ** KEPT (pick-wt=7): 60 [] -aNaturalNumber0(A)| -isPrime0(A)|A!=sz00.
% 13.49/13.63 ** KEPT (pick-wt=7): 61 [] -aNaturalNumber0(A)| -isPrime0(A)|A!=sz10.
% 13.49/13.63 ** KEPT (pick-wt=15): 62 [] -aNaturalNumber0(A)| -isPrime0(A)| -aNaturalNumber0(B)| -doDivides0(B,A)|B=sz10|B=A.
% 13.49/13.63 ** KEPT (pick-wt=13): 63 [] -aNaturalNumber0(A)|isPrime0(A)|A=sz00|A=sz10|aNaturalNumber0($f3(A)).
% 13.49/13.63 ** KEPT (pick-wt=14): 64 [] -aNaturalNumber0(A)|isPrime0(A)|A=sz00|A=sz10|doDivides0($f3(A),A).
% 13.49/13.63 ** KEPT (pick-wt=14): 65 [] -aNaturalNumber0(A)|isPrime0(A)|A=sz00|A=sz10|$f3(A)!=sz10.
% 13.49/13.63 ** KEPT (pick-wt=14): 66 [] -aNaturalNumber0(A)|isPrime0(A)|A=sz00|A=sz10|$f3(A)!=A.
% 13.49/13.63 ** KEPT (pick-wt=11): 67 [] -aNaturalNumber0(A)|A=sz00|A=sz10|aNaturalNumber0($f4(A)).
% 13.49/13.63 ** KEPT (pick-wt=12): 68 [] -aNaturalNumber0(A)|A=sz00|A=sz10|doDivides0($f4(A),A).
% 13.49/13.63 ** KEPT (pick-wt=11): 69 [] -aNaturalNumber0(A)|A=sz00|A=sz10|isPrime0($f4(A)).
% 13.49/13.63 ** KEPT (pick-wt=30): 70 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)| -isPrime0(C)| -doDivides0(C,sdtasdt0(A,B))| -iLess0(sdtpldt0(sdtpldt0(A,B),C),sdtpldt0(sdtpldt0(xn,xm),xp))|doDivides0(C,A)|doDivides0(C,B).
% 13.49/13.63 ** KEPT (pick-wt=3): 71 [] -sdtlse_qdt0(xp,xn).
% 13.49/13.63 ** KEPT (pick-wt=3): 72 [] -sdtlse_qdt0(xp,xm).
% 13.49/13.63 ** KEPT (pick-wt=3): 74 [copy,73,flip.1] xp!=xn.
% 13.49/13.63 ** KEPT (pick-wt=3): 76 [copy,75,flip.1] xp!=xm.
% 13.49/13.63 ** KEPT (pick-wt=3): 77 [] xk!=sz00.
% 13.49/13.63 ** KEPT (pick-wt=3): 78 [] xk!=sz10.
% 13.49/13.63 Following clause subsumed by 77 during input processing: 0 [] xk!=sz00.
% 13.49/13.63 Following clause subsumed by 78 during input processing: 0 [] xk!=sz10.
% 13.49/13.63 ** KEPT (pick-wt=7): 79 [] -aNaturalNumber0(A)| -doDivides0(A,xk)| -isPrime0(A).
% 13.49/13.63
% 13.49/13.63 ------------> process sos:
% 13.49/13.63 ** KEPT (pick-wt=3): 171 [] A=A.
% 13.49/13.63 ** KEPT (pick-wt=2): 172 [] aNaturalNumber0(sz00).
% 13.49/13.63 ** KEPT (pick-wt=2): 173 [] aNaturalNumber0(sz10).
% 13.49/13.63 ** KEPT (pick-wt=2): 174 [] aNaturalNumber0(xn).
% 13.49/13.63 ** KEPT (pick-wt=2): 175 [] aNaturalNumber0(xm).
% 13.49/13.63 ** KEPT (pick-wt=2): 176 [] aNaturalNumber0(xp).
% 13.49/13.63 ** KEPT (pick-wt=2): 177 [] isPrime0(xp).
% 13.49/13.63 ** KEPT (pick-wt=5): 178 [] doDivides0(xp,sdtasdt0(xn,xm)).
% 13.49/13.63 ** KEPT (pick-wt=3): 179 [] sdtlse_qdt0(xn,xp).
% 13.49/13.63 ** KEPT (pick-wt=3): 180 [] sdtlse_qdt0(xm,xp).
% 13.49/13.63 ** KEPT (pick-wt=7): 182 [copy,181,flip.1] sdtsldt0(sdtasdt0(xn,xm),xp)=xk.
% 13.49/13.63 ---> New Demodulator: 183 [new_demod,182] sdtsldt0(sdtasdt0(xn,xm),xp)=xk.
% 13.49/13.63 Following clause subsumed by 171 during input processing: 0 [copy,171,flip.1] A=A.
% 13.49/13.63 171 back subsumes 169.
% 13.49/13.63 171 back subsumes 163.
% 13.49/13.63 171 back subsumes 162.
% 13.49/13.63 171 back subsumes 161.
% 13.49/13.63 171 back subsumes 152.
% 13.49/13.63 171 back subsumes 121.
% 13.49/13.63 171 back subsumes 109.
% 13.49/13.63 171 back subsumes 105.
% 13.49/13.63 171 back subsumes 101.
% 13.49/13.63 171 back subsumes 98.
% 13.49/13.63 171 back subsumes 86.
% 13.49/13.63 171 back subsumes 82.
% 13.49/13.63 >>>> Starting back demodulation with 183.
% 13.49/13.63
% 13.49/13.63 ======= end of input processing =======
% 13.49/13.63
% 13.49/13.63 =========== start of search ===========
% 13.49/13.63
% 13.49/13.63
% 13.49/13.63 Resetting weight limit to 7.
% 13.49/13.63
% 13.49/13.63
% 13.49/13.63 Resetting weight limit to 7.
% 13.49/13.63
% 13.49/13.63 sos_size=2233
% 13.49/13.63
% 13.49/13.63
% 13.49/13.63 Resetting weight limit to 6.
% 13.49/13.63
% 13.49/13.63
% 13.49/13.63 Resetting weight limit to 6.
% 13.49/13.63
% 13.49/13.63 sos_size=2385
% 13.49/13.63
% 13.49/13.63 -- HEY sandbox2, WE HAVE A PROOF!! --
% 13.49/13.63
% 13.49/13.63 -----> EMPTY CLAUSE at 11.16 sec ----> 5057 [hyper,4770,79,4771,4769] $F.
% 13.49/13.63
% 13.49/13.63 Length of proof is 14. Level of proof is 5.
% 13.49/13.63
% 13.49/13.63 ---------------- PROOF ----------------
% 13.49/13.63 % SZS status Theorem
% 13.49/13.63 % SZS output start Refutation
% See solution above
% 13.49/13.63 ------------ end of proof -------------
% 13.49/13.63
% 13.49/13.63
% 13.49/13.63 Search stopped by max_proofs option.
% 13.49/13.63
% 13.49/13.63
% 13.49/13.63 Search stopped by max_proofs option.
% 13.49/13.63
% 13.49/13.63 ============ end of search ============
% 13.49/13.63
% 13.49/13.63 -------------- statistics -------------
% 13.49/13.63 clauses given 188
% 13.49/13.63 clauses generated 702542
% 13.49/13.63 clauses kept 4036
% 13.49/13.63 clauses forward subsumed 13245
% 13.49/13.63 clauses back subsumed 308
% 13.49/13.63 Kbytes malloced 5859
% 13.49/13.63
% 13.49/13.63 ----------- times (seconds) -----------
% 13.49/13.63 user CPU time 11.16 (0 hr, 0 min, 11 sec)
% 13.49/13.63 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 13.49/13.63 wall-clock time 14 (0 hr, 0 min, 14 sec)
% 13.49/13.63
% 13.49/13.63 That finishes the proof of the theorem.
% 13.49/13.63
% 13.49/13.63 Process 4523 finished Wed Jul 27 10:04:29 2022
% 13.49/13.63 Otter interrupted
% 13.49/13.63 PROOF FOUND
%------------------------------------------------------------------------------