TSTP Solution File: RNG081+2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : RNG081+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n029.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 13:12:14 EDT 2022
% Result : Theorem 148.50s 148.70s
% Output : Refutation 148.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 22 ( 17 unt; 2 nHn; 21 RR)
% Number of literals : 34 ( 16 equ; 14 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(14,axiom,
( ~ aScalar0(A)
| sdtasdt0(sz0z00,A) = sz0z00 ),
file('RNG081+2.p',unknown),
[] ).
cnf(41,axiom,
( ~ aScalar0(A)
| ~ aScalar0(B)
| sdtlse_qdt0(A,B)
| sdtlse_qdt0(B,A) ),
file('RNG081+2.p',unknown),
[] ).
cnf(55,axiom,
( ~ aVector0(A)
| ~ aVector0(B)
| aDimensionOf0(A) != aDimensionOf0(B)
| aDimensionOf0(B) != sz00
| sdtasasdt0(A,B) = sz0z00 ),
file('RNG081+2.p',unknown),
[] ).
cnf(64,axiom,
~ sdtlse_qdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
file('RNG081+2.p',unknown),
[] ).
cnf(114,plain,
( ~ aVector0(A)
| aDimensionOf0(A) != aDimensionOf0(A)
| aDimensionOf0(A) != sz00
| sdtasasdt0(A,A) = sz0z00 ),
inference(factor,[status(thm)],[55]),
[iquote('factor,55.1.2')] ).
cnf(150,axiom,
A = A,
file('RNG081+2.p',unknown),
[] ).
cnf(152,axiom,
aScalar0(sz0z00),
file('RNG081+2.p',unknown),
[] ).
cnf(153,axiom,
aVector0(xs),
file('RNG081+2.p',unknown),
[] ).
cnf(154,axiom,
aVector0(xt),
file('RNG081+2.p',unknown),
[] ).
cnf(155,axiom,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('RNG081+2.p',unknown),
[] ).
cnf(156,plain,
aDimensionOf0(xt) = aDimensionOf0(xs),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[155])]),
[iquote('copy,155,flip.1')] ).
cnf(206,axiom,
( aDimensionOf0(xs) = sz00
| sdtlse_qdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
file('RNG081+2.p',unknown),
[] ).
cnf(208,plain,
aDimensionOf0(xs) = sz00,
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[206]),64]),
[iquote('copy,206,unit_del,64')] ).
cnf(210,plain,
aDimensionOf0(xt) = sz00,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[156]),208]),
[iquote('back_demod,156,demod,208')] ).
cnf(241,plain,
sdtlse_qdt0(sz0z00,sz0z00),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[152,41,152])]),
[iquote('hyper,152,41,152,factor_simp')] ).
cnf(247,plain,
sdtasdt0(sz0z00,sz0z00) = sz0z00,
inference(hyper,[status(thm)],[152,14]),
[iquote('hyper,152,14')] ).
cnf(278,plain,
sdtasasdt0(xs,xs) = sz0z00,
inference(hyper,[status(thm)],[208,114,153,150]),
[iquote('hyper,207,114,153,150')] ).
cnf(279,plain,
~ sdtlse_qdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sz0z00,sdtasasdt0(xt,xt))),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[64]),278]),
[iquote('back_demod,64,demod,278')] ).
cnf(328,plain,
sdtasasdt0(xt,xt) = sz0z00,
inference(hyper,[status(thm)],[210,114,154,150]),
[iquote('hyper,209,114,154,150')] ).
cnf(329,plain,
~ sdtlse_qdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sz0z00),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[279]),328,247]),
[iquote('back_demod,279,demod,328,247')] ).
cnf(1328,plain,
~ sdtlse_qdt0(sdtasdt0(sz0z00,sdtasasdt0(xs,xt)),sz0z00),
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[329,55]),208,210,210]),153,154,150,150]),
[iquote('para_into,329.1.1.1,55.5.1,demod,208,210,210,unit_del,153,154,150,150')] ).
cnf(1330,plain,
$false,
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[1328,55]),247,208,210,210]),241,153,154,150,150]),
[iquote('para_into,1328.1.1.2,55.5.1,demod,247,208,210,210,unit_del,241,153,154,150,150')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG081+2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 02:26:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.11/2.33 ----- Otter 3.3f, August 2004 -----
% 2.11/2.33 The process was started by sandbox2 on n029.cluster.edu,
% 2.11/2.33 Wed Jul 27 02:26:29 2022
% 2.11/2.33 The command was "./otter". The process ID is 5824.
% 2.11/2.33
% 2.11/2.33 set(prolog_style_variables).
% 2.11/2.33 set(auto).
% 2.11/2.33 dependent: set(auto1).
% 2.11/2.33 dependent: set(process_input).
% 2.11/2.33 dependent: clear(print_kept).
% 2.11/2.33 dependent: clear(print_new_demod).
% 2.11/2.33 dependent: clear(print_back_demod).
% 2.11/2.33 dependent: clear(print_back_sub).
% 2.11/2.33 dependent: set(control_memory).
% 2.11/2.33 dependent: assign(max_mem, 12000).
% 2.11/2.33 dependent: assign(pick_given_ratio, 4).
% 2.11/2.33 dependent: assign(stats_level, 1).
% 2.11/2.33 dependent: assign(max_seconds, 10800).
% 2.11/2.33 clear(print_given).
% 2.11/2.33
% 2.11/2.33 formula_list(usable).
% 2.11/2.33 all A (A=A).
% 2.11/2.33 all W0 (aNaturalNumber0(W0)->$T).
% 2.11/2.33 aNaturalNumber0(sz00).
% 2.11/2.33 all W0 (aNaturalNumber0(W0)->aNaturalNumber0(szszuzczcdt0(W0))&szszuzczcdt0(W0)!=sz00).
% 2.11/2.33 all W0 (aNaturalNumber0(W0)&W0!=sz00-> (exists W1 (aNaturalNumber0(W1)&W0=szszuzczcdt0(W1)))).
% 2.11/2.33 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (szszuzczcdt0(W0)=szszuzczcdt0(W1)->W0=W1)).
% 2.11/2.33 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (iLess0(W0,W1)->$T)).
% 2.11/2.33 all W0 (aNaturalNumber0(W0)->iLess0(W0,szszuzczcdt0(W0))).
% 2.11/2.33 all W0 (aScalar0(W0)->$T).
% 2.11/2.33 aScalar0(sz0z00).
% 2.11/2.33 all W0 W1 (aScalar0(W0)&aScalar0(W1)->aScalar0(sdtpldt0(W0,W1))).
% 2.11/2.33 all W0 W1 (aScalar0(W0)&aScalar0(W1)->aScalar0(sdtasdt0(W0,W1))).
% 2.11/2.33 all W0 (aScalar0(W0)->aScalar0(smndt0(W0))).
% 2.11/2.33 all W0 (aScalar0(W0)->sdtpldt0(W0,sz0z00)=W0&sdtpldt0(sz0z00,W0)=W0&sdtasdt0(W0,sz0z00)=sz0z00&sdtasdt0(sz0z00,W0)=sz0z00&sdtpldt0(W0,smndt0(W0))=sz0z00&sdtpldt0(smndt0(W0),W0)=sz0z00&smndt0(smndt0(W0))=W0&smndt0(sz0z00)=sz0z00).
% 2.11/2.33 all W0 W1 W2 (aScalar0(W0)&aScalar0(W1)&aScalar0(W2)->sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2))&sdtpldt0(W0,W1)=sdtpldt0(W1,W0)&sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2))&sdtasdt0(W0,W1)=sdtasdt0(W1,W0)).
% 2.11/2.33 all W0 W1 W2 (aScalar0(W0)&aScalar0(W1)&aScalar0(W2)->sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))&sdtasdt0(sdtpldt0(W0,W1),W2)=sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2))).
% 2.11/2.33 all W0 W1 W2 W3 (aScalar0(W0)&aScalar0(W1)&aScalar0(W2)&aScalar0(W3)->sdtasdt0(sdtpldt0(W0,W1),sdtpldt0(W2,W3))=sdtpldt0(sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W0,W3)),sdtpldt0(sdtasdt0(W1,W2),sdtasdt0(W1,W3)))).
% 2.11/2.33 all W0 W1 (aScalar0(W0)&aScalar0(W1)->sdtasdt0(W0,smndt0(W1))=smndt0(sdtasdt0(W0,W1))&sdtasdt0(smndt0(W0),W1)=smndt0(sdtasdt0(W0,W1))).
% 2.11/2.33 all W0 W1 (aScalar0(W0)&aScalar0(W1)->sdtasdt0(smndt0(W0),smndt0(W1))=sdtasdt0(W0,W1)).
% 2.11/2.33 all W0 W1 (aScalar0(W0)&aScalar0(W1)-> (sdtlse_qdt0(W0,W1)->$T)).
% 2.11/2.33 all W0 (aScalar0(W0)->sdtlse_qdt0(W0,W0)).
% 2.11/2.33 all W0 W1 (aScalar0(W0)&aScalar0(W1)-> (sdtlse_qdt0(W0,W1)&sdtlse_qdt0(W1,W0)->W0=W1)).
% 2.11/2.33 all W0 W1 W2 (aScalar0(W0)&aScalar0(W1)&aScalar0(W2)-> (sdtlse_qdt0(W0,W1)&sdtlse_qdt0(W1,W2)->sdtlse_qdt0(W0,W2))).
% 2.11/2.33 all W0 W1 W2 W3 (aScalar0(W0)&aScalar0(W1)&aScalar0(W2)&aScalar0(W3)-> (sdtlse_qdt0(W0,W1)&sdtlse_qdt0(W2,W3)->sdtlse_qdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W3)))).
% 2.11/2.33 all W0 W1 W2 W3 (aScalar0(W0)&aScalar0(W1)&aScalar0(W2)&aScalar0(W3)-> (sdtlse_qdt0(W0,W1)&sdtlse_qdt0(sz0z00,W2)&sdtlse_qdt0(W2,W3)->sdtlse_qdt0(sdtasdt0(W0,W2),sdtasdt0(W1,W3)))).
% 2.11/2.33 all W0 W1 (aScalar0(W0)&aScalar0(W1)->sdtlse_qdt0(W0,W1)|sdtlse_qdt0(W1,W0)).
% 2.11/2.33 all W0 W1 (aScalar0(W0)&aScalar0(W1)-> (sdtlse_qdt0(sz0z00,W0)&sdtlse_qdt0(sz0z00,W1)->sdtlse_qdt0(sz0z00,sdtpldt0(W0,W1))&sdtlse_qdt0(sz0z00,sdtasdt0(W0,W1)))).
% 2.11/2.33 all W0 (aScalar0(W0)->sdtlse_qdt0(sz0z00,sdtasdt0(W0,W0))).
% 2.11/2.33 all W0 W1 (aScalar0(W0)&aScalar0(W1)-> (sdtlse_qdt0(sz0z00,W0)&sdtlse_qdt0(sz0z00,W1)&sdtasdt0(W0,W0)=sdtasdt0(W1,W1)->W0=W1)).
% 2.11/2.33 all W0 (aVector0(W0)->$T).
% 2.11/2.33 all W0 (aVector0(W0)->aNaturalNumber0(aDimensionOf0(W0))).
% 2.11/2.33 all W0 W1 (aVector0(W0)&aNaturalNumber0(W1)->aScalar0(sdtlbdtrb0(W0,W1))).
% 2.11/2.33 all W0 (aVector0(W0)-> (aDimensionOf0(W0)!=sz00-> (all W1 (W1=sziznziztdt0(W0)<->aVector0(W1)&szszuzczcdt0(aDimensionOf0(W1))=aDimensionOf0(W0)& (all W2 (aNaturalNumber0(W2)->sdtlbdtrb0(W1,W2)=sdtlbdtrb0(W0,W2))))))).
% 2.11/2.33 all W0 W1 (aVector0(W0)&aVector0(W1)-> (aDimensionOf0(W0)=aDimensionOf0(W1)&aDimensionOf0(W1)!=sz00->aDimensionOf0(sziznziztdt0(W0))=aDimensionOf0(sziznziztdt0(W1)))).
% 2.11/2.33 all W0 W1 (aVector0(W0)&aVector0(W1)-> (aDimensionOf0(W0)=aDimensionOf0(W1)->aScalar0(sdtasasdt0(W0,W1)))).
% 2.11/2.33 all W0 W1 (aVector0(W0)&aVector0(W1)-> (aDimensionOf0(W0)=aDimensionOf0(W1)&aDimensionOf0(W1)=sz00->sdtasasdt0(W0,W1)=sz0z00)).
% 2.11/2.33 all W0 W1 (aVector0(W0)&aVector0(W1)-> (aDimensionOf0(W0)=aDimensionOf0(W1)&aDimensionOf0(W1)!=sz00->sdtasasdt0(W0,W1)=sdtpldt0(sdtasasdt0(sziznziztdt0(W0),sziznziztdt0(W1)),sdtasdt0(sdtlbdtrb0(W0,aDimensionOf0(W0)),sdtlbdtrb0(W1,aDimensionOf0(W1)))))).
% 2.11/2.33 all W0 (aVector0(W0)->sdtlse_qdt0(sz0z00,sdtasasdt0(W0,W0))).
% 2.11/2.33 aVector0(xs).
% 2.11/2.33 aVector0(xt).
% 2.11/2.33 all W0 W1 (aVector0(W0)&aVector0(W1)-> (aDimensionOf0(W0)=aDimensionOf0(W1)-> (iLess0(aDimensionOf0(W0),aDimensionOf0(xs))->sdtlse_qdt0(sdtasdt0(sdtasasdt0(W0,W1),sdtasasdt0(W0,W1)),sdtasdt0(sdtasasdt0(W0,W0),sdtasasdt0(W1,W1)))))).
% 2.11/2.33 aDimensionOf0(xs)=aDimensionOf0(xt).
% 2.11/2.33 -((aDimensionOf0(xs)!=sz00-> (exists W0 (aVector0(W0)&szszuzczcdt0(aDimensionOf0(W0))=aDimensionOf0(xs)& (all W1 (aNaturalNumber0(W1)->sdtlbdtrb0(W0,W1)=sdtlbdtrb0(xs,W1)))&W0=sziznziztdt0(xs)& (exists W1 (aVector0(W1)&szszuzczcdt0(aDimensionOf0(W1))=aDimensionOf0(xt)& (all W2 (aNaturalNumber0(W2)->sdtlbdtrb0(W1,W2)=sdtlbdtrb0(xt,W2)))&W1=sziznziztdt0(xt)& (exists W2 (aScalar0(W2)&W2=sdtlbdtrb0(xs,aDimensionOf0(xs))& (exists W3 (aScalar0(W3)&W3=sdtlbdtrb0(xt,aDimensionOf0(xt))& (exists W4 (aScalar0(W4)&W4=sdtasasdt0(W0,W0)& (exists W5 (aScalar0(W5)&W5=sdtasasdt0(W1,W1)& (exists W6 (aScalar0(W6)&W6=sdtasasdt0(W0,W1)& (exists W7 (aScalar0(W7)&W7=sdtasdt0(W2,W2)& (exists W8 (aScalar0(W8)&W8=sdtasdt0(W3,W3)& (exists W9 (aScalar0(W9)&W9=sdtasdt0(W2,W3)& (exists W10 (aScalar0(W10)&W10=sdtasdt0(W4,W8)& (exists W11 (aScalar0(W11)&W11=sdtasdt0(W6,W9)& (exists W12 (aScalar0(W12)&W12=sdtasdt0(W7,W5)& (exists W13 (aScalar0(W13)&W13=sdtasdt0(W10,W12)&sdtlse_qdt0(sdtasdt0(W6,W6),sdtasdt0(W4,W5))&sdtlse_qdt0(sdtpldt0(W11,W11),sdtpldt0(W10,W12))&sdtlse_qdt0(sdtasdt0(sdtpldt0(W6,W9),sdtpldt0(W6,W9)),sdtasdt0(sdtpldt0(W4,W7),sdtpldt0(W5,W8)))&sdtlse_qdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))))))))))))))))))))))))))))))))->sdtlse_qdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))).
% 2.11/2.33 end_of_list.
% 2.11/2.33
% 2.11/2.33 -------> usable clausifies to:
% 2.11/2.33
% 2.11/2.33 list(usable).
% 2.11/2.33 0 [] A=A.
% 2.11/2.33 0 [] -aNaturalNumber0(W0)|$T.
% 2.11/2.33 0 [] aNaturalNumber0(sz00).
% 2.11/2.33 0 [] -aNaturalNumber0(W0)|aNaturalNumber0(szszuzczcdt0(W0)).
% 2.11/2.33 0 [] -aNaturalNumber0(W0)|szszuzczcdt0(W0)!=sz00.
% 2.11/2.33 0 [] -aNaturalNumber0(W0)|W0=sz00|aNaturalNumber0($f1(W0)).
% 2.11/2.33 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=szszuzczcdt0($f1(W0)).
% 2.11/2.33 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|szszuzczcdt0(W0)!=szszuzczcdt0(W1)|W0=W1.
% 2.11/2.33 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -iLess0(W0,W1)|$T.
% 2.11/2.33 0 [] -aNaturalNumber0(W0)|iLess0(W0,szszuzczcdt0(W0)).
% 2.11/2.33 0 [] -aScalar0(W0)|$T.
% 2.11/2.33 0 [] aScalar0(sz0z00).
% 2.11/2.33 0 [] -aScalar0(W0)| -aScalar0(W1)|aScalar0(sdtpldt0(W0,W1)).
% 2.11/2.33 0 [] -aScalar0(W0)| -aScalar0(W1)|aScalar0(sdtasdt0(W0,W1)).
% 2.11/2.33 0 [] -aScalar0(W0)|aScalar0(smndt0(W0)).
% 2.11/2.33 0 [] -aScalar0(W0)|sdtpldt0(W0,sz0z00)=W0.
% 2.11/2.33 0 [] -aScalar0(W0)|sdtpldt0(sz0z00,W0)=W0.
% 2.11/2.33 0 [] -aScalar0(W0)|sdtasdt0(W0,sz0z00)=sz0z00.
% 2.11/2.33 0 [] -aScalar0(W0)|sdtasdt0(sz0z00,W0)=sz0z00.
% 2.11/2.33 0 [] -aScalar0(W0)|sdtpldt0(W0,smndt0(W0))=sz0z00.
% 2.11/2.33 0 [] -aScalar0(W0)|sdtpldt0(smndt0(W0),W0)=sz0z00.
% 2.11/2.33 0 [] -aScalar0(W0)|smndt0(smndt0(W0))=W0.
% 2.11/2.33 0 [] -aScalar0(W0)|smndt0(sz0z00)=sz0z00.
% 2.11/2.33 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)|sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2)).
% 2.11/2.33 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)|sdtpldt0(W0,W1)=sdtpldt0(W1,W0).
% 2.11/2.33 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)|sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2)).
% 2.11/2.33 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)|sdtasdt0(W0,W1)=sdtasdt0(W1,W0).
% 2.11/2.33 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)|sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)).
% 2.11/2.33 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)|sdtasdt0(sdtpldt0(W0,W1),W2)=sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2)).
% 2.11/2.33 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)| -aScalar0(W3)|sdtasdt0(sdtpldt0(W0,W1),sdtpldt0(W2,W3))=sdtpldt0(sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W0,W3)),sdtpldt0(sdtasdt0(W1,W2),sdtasdt0(W1,W3))).
% 2.11/2.33 0 [] -aScalar0(W0)| -aScalar0(W1)|sdtasdt0(W0,smndt0(W1))=smndt0(sdtasdt0(W0,W1)).
% 2.11/2.33 0 [] -aScalar0(W0)| -aScalar0(W1)|sdtasdt0(smndt0(W0),W1)=smndt0(sdtasdt0(W0,W1)).
% 2.11/2.33 0 [] -aScalar0(W0)| -aScalar0(W1)|sdtasdt0(smndt0(W0),smndt0(W1))=sdtasdt0(W0,W1).
% 2.11/2.33 0 [] -aScalar0(W0)| -aScalar0(W1)| -sdtlse_qdt0(W0,W1)|$T.
% 2.11/2.33 0 [] -aScalar0(W0)|sdtlse_qdt0(W0,W0).
% 2.11/2.33 0 [] -aScalar0(W0)| -aScalar0(W1)| -sdtlse_qdt0(W0,W1)| -sdtlse_qdt0(W1,W0)|W0=W1.
% 2.11/2.33 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)| -sdtlse_qdt0(W0,W1)| -sdtlse_qdt0(W1,W2)|sdtlse_qdt0(W0,W2).
% 2.11/2.33 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)| -aScalar0(W3)| -sdtlse_qdt0(W0,W1)| -sdtlse_qdt0(W2,W3)|sdtlse_qdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W3)).
% 2.11/2.33 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)| -aScalar0(W3)| -sdtlse_qdt0(W0,W1)| -sdtlse_qdt0(sz0z00,W2)| -sdtlse_qdt0(W2,W3)|sdtlse_qdt0(sdtasdt0(W0,W2),sdtasdt0(W1,W3)).
% 2.11/2.33 0 [] -aScalar0(W0)| -aScalar0(W1)|sdtlse_qdt0(W0,W1)|sdtlse_qdt0(W1,W0).
% 2.11/2.33 0 [] -aScalar0(W0)| -aScalar0(W1)| -sdtlse_qdt0(sz0z00,W0)| -sdtlse_qdt0(sz0z00,W1)|sdtlse_qdt0(sz0z00,sdtpldt0(W0,W1)).
% 2.11/2.33 0 [] -aScalar0(W0)| -aScalar0(W1)| -sdtlse_qdt0(sz0z00,W0)| -sdtlse_qdt0(sz0z00,W1)|sdtlse_qdt0(sz0z00,sdtasdt0(W0,W1)).
% 2.11/2.33 0 [] -aScalar0(W0)|sdtlse_qdt0(sz0z00,sdtasdt0(W0,W0)).
% 2.11/2.33 0 [] -aScalar0(W0)| -aScalar0(W1)| -sdtlse_qdt0(sz0z00,W0)| -sdtlse_qdt0(sz0z00,W1)|sdtasdt0(W0,W0)!=sdtasdt0(W1,W1)|W0=W1.
% 2.11/2.33 0 [] -aVector0(W0)|$T.
% 2.11/2.33 0 [] -aVector0(W0)|aNaturalNumber0(aDimensionOf0(W0)).
% 2.11/2.33 0 [] -aVector0(W0)| -aNaturalNumber0(W1)|aScalar0(sdtlbdtrb0(W0,W1)).
% 2.11/2.33 0 [] -aVector0(W0)|aDimensionOf0(W0)=sz00|W1!=sziznziztdt0(W0)|aVector0(W1).
% 2.11/2.33 0 [] -aVector0(W0)|aDimensionOf0(W0)=sz00|W1!=sziznziztdt0(W0)|szszuzczcdt0(aDimensionOf0(W1))=aDimensionOf0(W0).
% 2.11/2.33 0 [] -aVector0(W0)|aDimensionOf0(W0)=sz00|W1!=sziznziztdt0(W0)| -aNaturalNumber0(W2)|sdtlbdtrb0(W1,W2)=sdtlbdtrb0(W0,W2).
% 2.11/2.33 0 [] -aVector0(W0)|aDimensionOf0(W0)=sz00|W1=sziznziztdt0(W0)| -aVector0(W1)|szszuzczcdt0(aDimensionOf0(W1))!=aDimensionOf0(W0)|aNaturalNumber0($f2(W0,W1)).
% 2.11/2.33 0 [] -aVector0(W0)|aDimensionOf0(W0)=sz00|W1=sziznziztdt0(W0)| -aVector0(W1)|szszuzczcdt0(aDimensionOf0(W1))!=aDimensionOf0(W0)|sdtlbdtrb0(W1,$f2(W0,W1))!=sdtlbdtrb0(W0,$f2(W0,W1)).
% 2.11/2.33 0 [] -aVector0(W0)| -aVector0(W1)|aDimensionOf0(W0)!=aDimensionOf0(W1)|aDimensionOf0(W1)=sz00|aDimensionOf0(sziznziztdt0(W0))=aDimensionOf0(sziznziztdt0(W1)).
% 2.11/2.33 0 [] -aVector0(W0)| -aVector0(W1)|aDimensionOf0(W0)!=aDimensionOf0(W1)|aScalar0(sdtasasdt0(W0,W1)).
% 2.11/2.33 0 [] -aVector0(W0)| -aVector0(W1)|aDimensionOf0(W0)!=aDimensionOf0(W1)|aDimensionOf0(W1)!=sz00|sdtasasdt0(W0,W1)=sz0z00.
% 2.11/2.33 0 [] -aVector0(W0)| -aVector0(W1)|aDimensionOf0(W0)!=aDimensionOf0(W1)|aDimensionOf0(W1)=sz00|sdtasasdt0(W0,W1)=sdtpldt0(sdtasasdt0(sziznziztdt0(W0),sziznziztdt0(W1)),sdtasdt0(sdtlbdtrb0(W0,aDimensionOf0(W0)),sdtlbdtrb0(W1,aDimensionOf0(W1)))).
% 2.11/2.33 0 [] -aVector0(W0)|sdtlse_qdt0(sz0z00,sdtasasdt0(W0,W0)).
% 2.11/2.33 0 [] aVector0(xs).
% 2.11/2.33 0 [] aVector0(xt).
% 2.11/2.33 0 [] -aVector0(W0)| -aVector0(W1)|aDimensionOf0(W0)!=aDimensionOf0(W1)| -iLess0(aDimensionOf0(W0),aDimensionOf0(xs))|sdtlse_qdt0(sdtasdt0(sdtasasdt0(W0,W1),sdtasasdt0(W0,W1)),sdtasdt0(sdtasasdt0(W0,W0),sdtasasdt0(W1,W1))).
% 2.11/2.33 0 [] aDimensionOf0(xs)=aDimensionOf0(xt).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|aVector0($c14).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|szszuzczcdt0(aDimensionOf0($c14))=aDimensionOf0(xs).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00| -aNaturalNumber0(W1)|sdtlbdtrb0($c14,W1)=sdtlbdtrb0(xs,W1).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|$c14=sziznziztdt0(xs).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|aVector0($c13).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|szszuzczcdt0(aDimensionOf0($c13))=aDimensionOf0(xt).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00| -aNaturalNumber0(W2)|sdtlbdtrb0($c13,W2)=sdtlbdtrb0(xt,W2).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|$c13=sziznziztdt0(xt).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|aScalar0($c12).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|$c12=sdtlbdtrb0(xs,aDimensionOf0(xs)).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|aScalar0($c11).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|$c11=sdtlbdtrb0(xt,aDimensionOf0(xt)).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|aScalar0($c10).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|$c10=sdtasasdt0($c14,$c14).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|aScalar0($c9).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|$c9=sdtasasdt0($c13,$c13).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|aScalar0($c8).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|$c8=sdtasasdt0($c14,$c13).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|aScalar0($c7).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|$c7=sdtasdt0($c12,$c12).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|aScalar0($c6).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|$c6=sdtasdt0($c11,$c11).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|aScalar0($c5).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|$c5=sdtasdt0($c12,$c11).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|aScalar0($c4).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|$c4=sdtasdt0($c10,$c6).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|aScalar0($c3).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|$c3=sdtasdt0($c8,$c5).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|aScalar0($c2).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|$c2=sdtasdt0($c7,$c9).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|aScalar0($c1).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|$c1=sdtasdt0($c4,$c2).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|sdtlse_qdt0(sdtasdt0($c8,$c8),sdtasdt0($c10,$c9)).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|sdtlse_qdt0(sdtpldt0($c3,$c3),sdtpldt0($c4,$c2)).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|sdtlse_qdt0(sdtasdt0(sdtpldt0($c8,$c5),sdtpldt0($c8,$c5)),sdtasdt0(sdtpldt0($c10,$c7),sdtpldt0($c9,$c6))).
% 2.11/2.33 0 [] aDimensionOf0(xs)=sz00|sdtlse_qdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))).
% 2.11/2.33 0 [] -sdtlse_qdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))).
% 2.11/2.33 end_of_list.
% 2.11/2.33
% 2.11/2.33 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 2.11/2.33
% 2.11/2.33 This ia a non-Horn set with equality. The strategy will be
% 2.11/2.33 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.11/2.33 deletion, with positive clauses in sos and nonpositive
% 2.11/2.33 clauses in usable.
% 2.11/2.33
% 2.11/2.33 dependent: set(knuth_bendix).
% 2.11/2.33 dependent: set(anl_eq).
% 2.11/2.33 dependent: set(para_from).
% 2.11/2.33 dependent: set(para_into).
% 2.11/2.33 dependent: clear(para_from_right).
% 2.11/2.33 dependent: clear(para_into_right).
% 2.11/2.33 dependent: set(para_from_vars).
% 2.11/2.33 dependent: set(eq_units_both_ways).
% 2.11/2.33 dependent: set(dynamic_demod_all).
% 2.11/2.33 dependent: set(dynamic_demod).
% 2.11/2.33 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=5): 1 [] -aNaturalNumber0(A)|aNaturalNumber0(szszuzczcdt0(A)).
% 2.11/2.33 ** KEPT (pick-wt=6): 2 [] -aNaturalNumber0(A)|szszuzczcdt0(A)!=sz00.
% 2.11/2.33 ** KEPT (pick-wt=8): 3 [] -aNaturalNumber0(A)|A=sz00|aNaturalNumber0($f1(A)).
% 2.11/2.33 ** KEPT (pick-wt=10): 5 [copy,4,flip.3] -aNaturalNumber0(A)|A=sz00|szszuzczcdt0($f1(A))=A.
% 2.11/2.33 ** KEPT (pick-wt=12): 6 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|szszuzczcdt0(A)!=szszuzczcdt0(B)|A=B.
% 2.11/2.33 ** KEPT (pick-wt=6): 7 [] -aNaturalNumber0(A)|iLess0(A,szszuzczcdt0(A)).
% 2.11/2.33 ** KEPT (pick-wt=8): 8 [] -aScalar0(A)| -aScalar0(B)|aScalar0(sdtpldt0(A,B)).
% 2.11/2.33 ** KEPT (pick-wt=8): 9 [] -aScalar0(A)| -aScalar0(B)|aScalar0(sdtasdt0(A,B)).
% 2.11/2.33 ** KEPT (pick-wt=5): 10 [] -aScalar0(A)|aScalar0(smndt0(A)).
% 2.11/2.33 ** KEPT (pick-wt=7): 11 [] -aScalar0(A)|sdtpldt0(A,sz0z00)=A.
% 2.11/2.33 ** KEPT (pick-wt=7): 12 [] -aScalar0(A)|sdtpldt0(sz0z00,A)=A.
% 2.11/2.33 ** KEPT (pick-wt=7): 13 [] -aScalar0(A)|sdtasdt0(A,sz0z00)=sz0z00.
% 2.11/2.33 ** KEPT (pick-wt=7): 14 [] -aScalar0(A)|sdtasdt0(sz0z00,A)=sz0z00.
% 2.11/2.33 ** KEPT (pick-wt=8): 15 [] -aScalar0(A)|sdtpldt0(A,smndt0(A))=sz0z00.
% 2.11/2.33 ** KEPT (pick-wt=8): 16 [] -aScalar0(A)|sdtpldt0(smndt0(A),A)=sz0z00.
% 2.11/2.33 ** KEPT (pick-wt=7): 17 [] -aScalar0(A)|smndt0(smndt0(A))=A.
% 2.11/2.33 ** KEPT (pick-wt=6): 18 [] -aScalar0(A)|smndt0(sz0z00)=sz0z00.
% 2.11/2.33 ** KEPT (pick-wt=17): 19 [] -aScalar0(A)| -aScalar0(B)| -aScalar0(C)|sdtpldt0(sdtpldt0(A,B),C)=sdtpldt0(A,sdtpldt0(B,C)).
% 2.11/2.33 ** KEPT (pick-wt=11): 21 [copy,20,factor_simp] -aScalar0(A)| -aScalar0(B)|sdtpldt0(A,B)=sdtpldt0(B,A).
% 2.11/2.33 ** KEPT (pick-wt=17): 22 [] -aScalar0(A)| -aScalar0(B)| -aScalar0(C)|sdtasdt0(sdtasdt0(A,B),C)=sdtasdt0(A,sdtasdt0(B,C)).
% 2.11/2.33 ** KEPT (pick-wt=11): 24 [copy,23,factor_simp] -aScalar0(A)| -aScalar0(B)|sdtasdt0(A,B)=sdtasdt0(B,A).
% 2.11/2.33 ** KEPT (pick-wt=19): 26 [copy,25,flip.4] -aScalar0(A)| -aScalar0(B)| -aScalar0(C)|sdtpldt0(sdtasdt0(A,B),sdtasdt0(A,C))=sdtasdt0(A,sdtpldt0(B,C)).
% 2.11/2.33 ** KEPT (pick-wt=19): 28 [copy,27,flip.4] -aScalar0(A)| -aScalar0(B)| -aScalar0(C)|sdtpldt0(sdtasdt0(A,C),sdtasdt0(B,C))=sdtasdt0(sdtpldt0(A,B),C).
% 2.18/2.36 ** KEPT (pick-wt=31): 30 [copy,29,flip.5] -aScalar0(A)| -aScalar0(B)| -aScalar0(C)| -aScalar0(D)|sdtpldt0(sdtpldt0(sdtasdt0(A,C),sdtasdt0(A,D)),sdtpldt0(sdtasdt0(B,C),sdtasdt0(B,D)))=sdtasdt0(sdtpldt0(A,B),sdtpldt0(C,D)).
% 2.18/2.36 ** KEPT (pick-wt=13): 32 [copy,31,flip.3] -aScalar0(A)| -aScalar0(B)|smndt0(sdtasdt0(A,B))=sdtasdt0(A,smndt0(B)).
% 2.18/2.36 ** KEPT (pick-wt=13): 34 [copy,33,flip.3] -aScalar0(A)| -aScalar0(B)|smndt0(sdtasdt0(A,B))=sdtasdt0(smndt0(A),B).
% 2.18/2.36 ** KEPT (pick-wt=13): 35 [] -aScalar0(A)| -aScalar0(B)|sdtasdt0(smndt0(A),smndt0(B))=sdtasdt0(A,B).
% 2.18/2.36 ** KEPT (pick-wt=5): 36 [] -aScalar0(A)|sdtlse_qdt0(A,A).
% 2.18/2.36 ** KEPT (pick-wt=13): 37 [] -aScalar0(A)| -aScalar0(B)| -sdtlse_qdt0(A,B)| -sdtlse_qdt0(B,A)|A=B.
% 2.18/2.36 ** KEPT (pick-wt=15): 38 [] -aScalar0(A)| -aScalar0(B)| -aScalar0(C)| -sdtlse_qdt0(A,B)| -sdtlse_qdt0(B,C)|sdtlse_qdt0(A,C).
% 2.18/2.36 ** KEPT (pick-wt=21): 39 [] -aScalar0(A)| -aScalar0(B)| -aScalar0(C)| -aScalar0(D)| -sdtlse_qdt0(A,B)| -sdtlse_qdt0(C,D)|sdtlse_qdt0(sdtpldt0(A,C),sdtpldt0(B,D)).
% 2.18/2.36 ** KEPT (pick-wt=24): 40 [] -aScalar0(A)| -aScalar0(B)| -aScalar0(C)| -aScalar0(D)| -sdtlse_qdt0(A,B)| -sdtlse_qdt0(sz0z00,C)| -sdtlse_qdt0(C,D)|sdtlse_qdt0(sdtasdt0(A,C),sdtasdt0(B,D)).
% 2.18/2.36 ** KEPT (pick-wt=10): 41 [] -aScalar0(A)| -aScalar0(B)|sdtlse_qdt0(A,B)|sdtlse_qdt0(B,A).
% 2.18/2.36 ** KEPT (pick-wt=15): 42 [] -aScalar0(A)| -aScalar0(B)| -sdtlse_qdt0(sz0z00,A)| -sdtlse_qdt0(sz0z00,B)|sdtlse_qdt0(sz0z00,sdtpldt0(A,B)).
% 2.18/2.36 ** KEPT (pick-wt=15): 43 [] -aScalar0(A)| -aScalar0(B)| -sdtlse_qdt0(sz0z00,A)| -sdtlse_qdt0(sz0z00,B)|sdtlse_qdt0(sz0z00,sdtasdt0(A,B)).
% 2.18/2.36 ** KEPT (pick-wt=7): 44 [] -aScalar0(A)|sdtlse_qdt0(sz0z00,sdtasdt0(A,A)).
% 2.18/2.36 ** KEPT (pick-wt=20): 45 [] -aScalar0(A)| -aScalar0(B)| -sdtlse_qdt0(sz0z00,A)| -sdtlse_qdt0(sz0z00,B)|sdtasdt0(A,A)!=sdtasdt0(B,B)|A=B.
% 2.18/2.36 ** KEPT (pick-wt=5): 46 [] -aVector0(A)|aNaturalNumber0(aDimensionOf0(A)).
% 2.18/2.36 ** KEPT (pick-wt=8): 47 [] -aVector0(A)| -aNaturalNumber0(B)|aScalar0(sdtlbdtrb0(A,B)).
% 2.18/2.36 ** KEPT (pick-wt=12): 48 [] -aVector0(A)|aDimensionOf0(A)=sz00|B!=sziznziztdt0(A)|aVector0(B).
% 2.18/2.36 ** KEPT (pick-wt=16): 49 [] -aVector0(A)|aDimensionOf0(A)=sz00|B!=sziznziztdt0(A)|szszuzczcdt0(aDimensionOf0(B))=aDimensionOf0(A).
% 2.18/2.36 ** KEPT (pick-wt=19): 50 [] -aVector0(A)|aDimensionOf0(A)=sz00|B!=sziznziztdt0(A)| -aNaturalNumber0(C)|sdtlbdtrb0(B,C)=sdtlbdtrb0(A,C).
% 2.18/2.36 ** KEPT (pick-wt=22): 51 [] -aVector0(A)|aDimensionOf0(A)=sz00|B=sziznziztdt0(A)| -aVector0(B)|szszuzczcdt0(aDimensionOf0(B))!=aDimensionOf0(A)|aNaturalNumber0($f2(A,B)).
% 2.18/2.36 ** KEPT (pick-wt=29): 52 [] -aVector0(A)|aDimensionOf0(A)=sz00|B=sziznziztdt0(A)| -aVector0(B)|szszuzczcdt0(aDimensionOf0(B))!=aDimensionOf0(A)|sdtlbdtrb0(B,$f2(A,B))!=sdtlbdtrb0(A,$f2(A,B)).
% 2.18/2.36 ** KEPT (pick-wt=20): 53 [] -aVector0(A)| -aVector0(B)|aDimensionOf0(A)!=aDimensionOf0(B)|aDimensionOf0(B)=sz00|aDimensionOf0(sziznziztdt0(A))=aDimensionOf0(sziznziztdt0(B)).
% 2.18/2.36 ** KEPT (pick-wt=13): 54 [] -aVector0(A)| -aVector0(B)|aDimensionOf0(A)!=aDimensionOf0(B)|aScalar0(sdtasasdt0(A,B)).
% 2.18/2.36 ** KEPT (pick-wt=18): 55 [] -aVector0(A)| -aVector0(B)|aDimensionOf0(A)!=aDimensionOf0(B)|aDimensionOf0(B)!=sz00|sdtasasdt0(A,B)=sz0z00.
% 2.18/2.36 ** KEPT (pick-wt=32): 57 [copy,56,flip.5] -aVector0(A)| -aVector0(B)|aDimensionOf0(A)!=aDimensionOf0(B)|aDimensionOf0(B)=sz00|sdtpldt0(sdtasasdt0(sziznziztdt0(A),sziznziztdt0(B)),sdtasdt0(sdtlbdtrb0(A,aDimensionOf0(A)),sdtlbdtrb0(B,aDimensionOf0(B))))=sdtasasdt0(A,B).
% 2.18/2.36 ** KEPT (pick-wt=7): 58 [] -aVector0(A)|sdtlse_qdt0(sz0z00,sdtasasdt0(A,A)).
% 2.18/2.36 ** KEPT (pick-wt=29): 59 [] -aVector0(A)| -aVector0(B)|aDimensionOf0(A)!=aDimensionOf0(B)| -iLess0(aDimensionOf0(A),aDimensionOf0(xs))|sdtlse_qdt0(sdtasdt0(sdtasasdt0(A,B),sdtasasdt0(A,B)),sdtasdt0(sdtasasdt0(A,A),sdtasasdt0(B,B))).
% 2.18/2.36 ** KEPT (pick-wt=13): 61 [copy,60,flip.3] aDimensionOf0(xs)=sz00| -aNaturalNumber0(A)|sdtlbdtrb0(xs,A)=sdtlbdtrb0($c14,A).
% 2.18/2.36 ** KEPT (pick-wt=13): 63 [copy,62,flip.3] aDimensionOf0(xs)=sz00| -aNaturalNumber0(A)|sdtlbdtrb0(xt,A)=sdtlbdtrb0($c13,A).
% 2.18/2.36 ** KEPT (pick-wt=15): 64 [] -sdtlse_qdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))).
% 2.18/2.36
% 2.18/2.36 ------------> process sos:
% 2.18/2.36 ** KEPT (pick-wt=3): 150 [] A=A.
% 2.18/2.36 ** KEPT (pick-wt=2): 151 [] aNaturalNumber0(sz00).
% 2.18/2.36 ** KEPT (pick-wt=2): 152 [] aScalar0(sz0z00).
% 2.18/2.36 ** KEPT (pick-wt=2): 153 [] aVector0(xs).
% 2.18/2.36 ** KEPT (pick-wt=2): 154 [] aVector0(xt).
% 2.18/2.36 ** KEPT (pick-wt=5): 156 [copy,155,flip.1] aDimensionOf0(xt)=aDimensionOf0(xs).
% 2.18/2.36 ---> New Demodulator: 157 [new_demod,156] aDimensionOf0(xt)=aDimensionOf0(xs).
% 2.18/2.36 ** KEPT (pick-wt=6): 158 [] aDimensionOf0(xs)=sz00|aVector0($c14).
% 2.18/2.36 ** KEPT (pick-wt=10): 159 [] aDimensionOf0(xs)=sz00|szszuzczcdt0(aDimensionOf0($c14))=aDimensionOf0(xs).
% 2.18/2.36 ** KEPT (pick-wt=8): 161 [copy,160,flip.2] aDimensionOf0(xs)=sz00|sziznziztdt0(xs)=$c14.
% 2.18/2.36 ** KEPT (pick-wt=6): 162 [] aDimensionOf0(xs)=sz00|aVector0($c13).
% 2.18/2.36 ** KEPT (pick-wt=10): 164 [copy,163,demod,157] aDimensionOf0(xs)=sz00|szszuzczcdt0(aDimensionOf0($c13))=aDimensionOf0(xs).
% 2.18/2.36 ** KEPT (pick-wt=8): 166 [copy,165,flip.2] aDimensionOf0(xs)=sz00|sziznziztdt0(xt)=$c13.
% 2.18/2.36 ** KEPT (pick-wt=6): 167 [] aDimensionOf0(xs)=sz00|aScalar0($c12).
% 2.18/2.36 ** KEPT (pick-wt=10): 169 [copy,168,flip.2] aDimensionOf0(xs)=sz00|sdtlbdtrb0(xs,aDimensionOf0(xs))=$c12.
% 2.18/2.36 ** KEPT (pick-wt=6): 170 [] aDimensionOf0(xs)=sz00|aScalar0($c11).
% 2.18/2.36 ** KEPT (pick-wt=10): 172 [copy,171,demod,157,flip.2] aDimensionOf0(xs)=sz00|sdtlbdtrb0(xt,aDimensionOf0(xs))=$c11.
% 2.18/2.36 ** KEPT (pick-wt=6): 173 [] aDimensionOf0(xs)=sz00|aScalar0($c10).
% 2.18/2.36 ** KEPT (pick-wt=9): 175 [copy,174,flip.2] aDimensionOf0(xs)=sz00|sdtasasdt0($c14,$c14)=$c10.
% 2.18/2.36 ** KEPT (pick-wt=6): 176 [] aDimensionOf0(xs)=sz00|aScalar0($c9).
% 2.18/2.36 ** KEPT (pick-wt=9): 178 [copy,177,flip.2] aDimensionOf0(xs)=sz00|sdtasasdt0($c13,$c13)=$c9.
% 2.18/2.36 ** KEPT (pick-wt=6): 179 [] aDimensionOf0(xs)=sz00|aScalar0($c8).
% 2.18/2.36 ** KEPT (pick-wt=9): 181 [copy,180,flip.2] aDimensionOf0(xs)=sz00|sdtasasdt0($c14,$c13)=$c8.
% 2.18/2.36 ** KEPT (pick-wt=6): 182 [] aDimensionOf0(xs)=sz00|aScalar0($c7).
% 2.18/2.36 ** KEPT (pick-wt=9): 184 [copy,183,flip.2] aDimensionOf0(xs)=sz00|sdtasdt0($c12,$c12)=$c7.
% 2.18/2.36 ** KEPT (pick-wt=6): 185 [] aDimensionOf0(xs)=sz00|aScalar0($c6).
% 2.18/2.36 ** KEPT (pick-wt=9): 187 [copy,186,flip.2] aDimensionOf0(xs)=sz00|sdtasdt0($c11,$c11)=$c6.
% 2.18/2.36 ** KEPT (pick-wt=6): 188 [] aDimensionOf0(xs)=sz00|aScalar0($c5).
% 2.18/2.36 ** KEPT (pick-wt=9): 190 [copy,189,flip.2] aDimensionOf0(xs)=sz00|sdtasdt0($c12,$c11)=$c5.
% 2.18/2.36 ** KEPT (pick-wt=6): 191 [] aDimensionOf0(xs)=sz00|aScalar0($c4).
% 2.18/2.36 ** KEPT (pick-wt=9): 193 [copy,192,flip.2] aDimensionOf0(xs)=sz00|sdtasdt0($c10,$c6)=$c4.
% 2.18/2.36 ** KEPT (pick-wt=6): 194 [] aDimensionOf0(xs)=sz00|aScalar0($c3).
% 2.18/2.36 ** KEPT (pick-wt=9): 196 [copy,195,flip.2] aDimensionOf0(xs)=sz00|sdtasdt0($c8,$c5)=$c3.
% 2.18/2.36 ** KEPT (pick-wt=6): 197 [] aDimensionOf0(xs)=sz00|aScalar0($c2).
% 2.18/2.36 ** KEPT (pick-wt=9): 199 [copy,198,flip.2] aDimensionOf0(xs)=sz00|sdtasdt0($c7,$c9)=$c2.
% 2.18/2.36 ** KEPT (pick-wt=6): 200 [] aDimensionOf0(xs)=sz00|aScalar0($c1).
% 2.18/2.36 ** KEPT (pick-wt=9): 202 [copy,201,flip.2] aDimensionOf0(xs)=sz00|sdtasdt0($c4,$c2)=$c1.
% 2.18/2.36 ** KEPT (pick-wt=11): 203 [] aDimensionOf0(xs)=sz00|sdtlse_qdt0(sdtasdt0($c8,$c8),sdtasdt0($c10,$c9)).
% 2.18/2.36 ** KEPT (pick-wt=11): 204 [] aDimensionOf0(xs)=sz00|sdtlse_qdt0(sdtpldt0($c3,$c3),sdtpldt0($c4,$c2)).
% 2.18/2.36 ** KEPT (pick-wt=19): 205 [] aDimensionOf0(xs)=sz00|sdtlse_qdt0(sdtasdt0(sdtpldt0($c8,$c5),sdtpldt0($c8,$c5)),sdtasdt0(sdtpldt0($c10,$c7),sdtpldt0($c9,$c6))).
% 2.18/2.36 ** KEPT (pick-wt=4): 207 [copy,206,unit_del,64] aDimensionOf0(xs)=sz00.
% 2.18/2.36 ---> New Demodulator: 208 [new_demod,207] aDimensionOf0(xs)=sz00.
% 2.18/2.36 Following clause subsumed by 150 during input processing: 0 [copy,150,flip.1] A=A.
% 2.18/2.36 150 back subsumes 112.
% 2.18/2.36 150 back subsumes 109.
% 2.18/2.36 150 back subsumes 91.
% 2.18/2.36 150 back subsumes 75.
% 2.18/2.36 150 back subsumes 71.
% 2.18/2.36 150 back subsumes 65.
% 2.18/2.36 >>>> Starting back demodulation with 157.
% 2.18/2.36 >>>> Starting back demodulation with 208.
% 2.18/2.36 >> back demodulating 205 with 208.
% 2.18/2.36 >> back demodulating 204 with 208.
% 2.18/2.36 >> back demodulating 203 with 208.
% 2.18/2.36 >> back demodulating 202 with 208.
% 2.18/2.36 >> back demodulating 200 with 208.
% 2.18/2.36 >> back demodulating 199 with 208.
% 2.18/2.36 >> back demodulating 197 with 208.
% 2.18/2.36 >> back demodulating 196 with 208.
% 2.18/2.36 >> back demodulating 194 with 208.
% 2.18/2.36 >> back demodulating 193 with 208.
% 148.50/148.70 >> back demodulating 191 with 208.
% 148.50/148.70 >> back demodulating 190 with 208.
% 148.50/148.70 >> back demodulating 188 with 208.
% 148.50/148.70 >> back demodulating 187 with 208.
% 148.50/148.70 >> back demodulating 185 with 208.
% 148.50/148.70 >> back demodulating 184 with 208.
% 148.50/148.70 >> back demodulating 182 with 208.
% 148.50/148.70 >> back demodulating 181 with 208.
% 148.50/148.70 >> back demodulating 179 with 208.
% 148.50/148.70 >> back demodulating 178 with 208.
% 148.50/148.70 >> back demodulating 176 with 208.
% 148.50/148.70 >> back demodulating 175 with 208.
% 148.50/148.70 >> back demodulating 173 with 208.
% 148.50/148.70 >> back demodulating 172 with 208.
% 148.50/148.70 >> back demodulating 170 with 208.
% 148.50/148.70 >> back demodulating 169 with 208.
% 148.50/148.70 >> back demodulating 167 with 208.
% 148.50/148.70 >> back demodulating 166 with 208.
% 148.50/148.70 >> back demodulating 164 with 208.
% 148.50/148.70 >> back demodulating 162 with 208.
% 148.50/148.70 >> back demodulating 161 with 208.
% 148.50/148.70 >> back demodulating 159 with 208.
% 148.50/148.70 >> back demodulating 158 with 208.
% 148.50/148.70 >> back demodulating 156 with 208.
% 148.50/148.70 >> back demodulating 116 with 208.
% 148.50/148.70 >> back demodulating 63 with 208.
% 148.50/148.70 >> back demodulating 61 with 208.
% 148.50/148.70 >> back demodulating 59 with 208.
% 148.50/148.70 >>>> Starting back demodulation with 210.
% 148.50/148.70
% 148.50/148.70 ======= end of input processing =======
% 148.50/148.70
% 148.50/148.70 =========== start of search ===========
% 148.50/148.70
% 148.50/148.70
% 148.50/148.70 Resetting weight limit to 8.
% 148.50/148.70
% 148.50/148.70
% 148.50/148.70 Resetting weight limit to 8.
% 148.50/148.70
% 148.50/148.70 sos_size=386
% 148.50/148.70
% 148.50/148.70
% 148.50/148.70 Resetting weight limit to 7.
% 148.50/148.70
% 148.50/148.70
% 148.50/148.70 Resetting weight limit to 7.
% 148.50/148.70
% 148.50/148.70 sos_size=410
% 148.50/148.70
% 148.50/148.70 -- HEY sandbox2, WE HAVE A PROOF!! --
% 148.50/148.70
% 148.50/148.70 -----> EMPTY CLAUSE at 146.38 sec ----> 1330 [para_into,1328.1.1.2,55.5.1,demod,247,208,210,210,unit_del,241,153,154,150,150] $F.
% 148.50/148.70
% 148.50/148.70 Length of proof is 11. Level of proof is 5.
% 148.50/148.70
% 148.50/148.70 ---------------- PROOF ----------------
% 148.50/148.70 % SZS status Theorem
% 148.50/148.70 % SZS output start Refutation
% See solution above
% 148.55/148.70 ------------ end of proof -------------
% 148.55/148.70
% 148.55/148.70
% 148.55/148.70 Search stopped by max_proofs option.
% 148.55/148.70
% 148.55/148.70
% 148.55/148.70 Search stopped by max_proofs option.
% 148.55/148.70
% 148.55/148.70 ============ end of search ============
% 148.55/148.70
% 148.55/148.70 -------------- statistics -------------
% 148.55/148.70 clauses given 128
% 148.55/148.70 clauses generated 11288089
% 148.55/148.70 clauses kept 909
% 148.55/148.70 clauses forward subsumed 2384
% 148.55/148.70 clauses back subsumed 8
% 148.55/148.70 Kbytes malloced 5859
% 148.55/148.70
% 148.55/148.70 ----------- times (seconds) -----------
% 148.55/148.70 user CPU time 146.38 (0 hr, 2 min, 26 sec)
% 148.55/148.70 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 148.55/148.70 wall-clock time 148 (0 hr, 2 min, 28 sec)
% 148.55/148.70
% 148.55/148.70 That finishes the proof of the theorem.
% 148.55/148.70
% 148.55/148.70 Process 5824 finished Wed Jul 27 02:28:57 2022
% 148.55/148.70 Otter interrupted
% 148.55/148.70 PROOF FOUND
%------------------------------------------------------------------------------