%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : RNG061+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n011.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 13:12:12 EDT 2022
% Result : Theorem 124.05s 124.23s
% Output : Refutation 124.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 9 unt; 0 nHn; 13 RR)
% Number of literals : 23 ( 6 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(9,axiom,
( ~ aScalar0(A)
| ~ aScalar0(B)
| aScalar0(sdtasdt0(A,B)) ),
file('RNG061+2.p',unknown),
[] ).
cnf(10,axiom,
( ~ aScalar0(A)
| aScalar0(smndt0(A)) ),
file('RNG061+2.p',unknown),
[] ).
cnf(20,axiom,
( ~ aScalar0(A)
| ~ aScalar0(B)
| ~ aScalar0(C)
| sdtpldt0(A,B) = sdtpldt0(B,A) ),
file('RNG061+2.p',unknown),
[] ).
cnf(21,plain,
( ~ aScalar0(A)
| ~ aScalar0(B)
| sdtpldt0(A,B) = sdtpldt0(B,A) ),
inference(factor_simp,[status(thm)],[inference(copy,[status(thm)],[20])]),
[iquote('copy,20,factor_simp')] ).
cnf(65,axiom,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),
file('RNG061+2.p',unknown),
[] ).
cnf(68,plain,
( ~ aScalar0(A)
| aScalar0(sdtasdt0(A,A)) ),
inference(factor,[status(thm)],[9]),
[iquote('factor,9.1.2')] ).
cnf(151,axiom,
A = A,
file('RNG061+2.p',unknown),
[] ).
cnf(212,axiom,
aScalar0(xS),
file('RNG061+2.p',unknown),
[] ).
cnf(216,axiom,
aScalar0(xN),
file('RNG061+2.p',unknown),
[] ).
cnf(229,axiom,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
file('RNG061+2.p',unknown),
[] ).
cnf(230,plain,
sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[65]),229]),
[iquote('back_demod,65,demod,229')] ).
cnf(2585,plain,
aScalar0(sdtasdt0(xS,xS)),
inference(hyper,[status(thm)],[212,68]),
[iquote('hyper,212,68')] ).
cnf(2635,plain,
aScalar0(smndt0(xN)),
inference(hyper,[status(thm)],[216,10]),
[iquote('hyper,216,10')] ).
cnf(2695,plain,
$false,
inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[230,21]),151,2635,2585]),
[iquote('para_into,230.1.1.2,21.3.1,unit_del,151,2635,2585')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG061+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 02:11:55 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.28/2.47 ----- Otter 3.3f, August 2004 -----
% 2.28/2.47 The process was started by sandbox2 on n011.cluster.edu,
% 2.28/2.47 Wed Jul 27 02:11:55 2022
% 2.28/2.47 The command was "./otter". The process ID is 31810.
% 2.28/2.47
% 2.28/2.47 set(prolog_style_variables).
% 2.28/2.47 set(auto).
% 2.28/2.47 dependent: set(auto1).
% 2.28/2.47 dependent: set(process_input).
% 2.28/2.47 dependent: clear(print_kept).
% 2.28/2.47 dependent: clear(print_new_demod).
% 2.28/2.47 dependent: clear(print_back_demod).
% 2.28/2.47 dependent: clear(print_back_sub).
% 2.28/2.47 dependent: set(control_memory).
% 2.28/2.47 dependent: assign(max_mem, 12000).
% 2.28/2.47 dependent: assign(pick_given_ratio, 4).
% 2.28/2.47 dependent: assign(stats_level, 1).
% 2.28/2.47 dependent: assign(max_seconds, 10800).
% 2.28/2.47 clear(print_given).
% 2.28/2.47
% 2.28/2.47 formula_list(usable).
% 2.28/2.47 all A (A=A).
% 2.28/2.47 all W0 (aNaturalNumber0(W0)->$T).
% 2.28/2.47 aNaturalNumber0(sz00).
% 2.28/2.47 all W0 (aNaturalNumber0(W0)->aNaturalNumber0(szszuzczcdt0(W0))&szszuzczcdt0(W0)!=sz00).
% 2.28/2.47 all W0 (aNaturalNumber0(W0)&W0!=sz00-> (exists W1 (aNaturalNumber0(W1)&W0=szszuzczcdt0(W1)))).
% 2.28/2.47 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (szszuzczcdt0(W0)=szszuzczcdt0(W1)->W0=W1)).
% 2.28/2.47 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (iLess0(W0,W1)->$T)).
% 2.28/2.47 all W0 (aNaturalNumber0(W0)->iLess0(W0,szszuzczcdt0(W0))).
% 2.28/2.47 all W0 (aScalar0(W0)->$T).
% 2.28/2.47 aScalar0(sz0z00).
% 2.28/2.47 all W0 W1 (aScalar0(W0)&aScalar0(W1)->aScalar0(sdtpldt0(W0,W1))).
% 2.28/2.47 all W0 W1 (aScalar0(W0)&aScalar0(W1)->aScalar0(sdtasdt0(W0,W1))).
% 2.28/2.47 all W0 (aScalar0(W0)->aScalar0(smndt0(W0))).
% 2.28/2.47 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).
% 2.28/2.47 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)).
% 2.28/2.47 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))).
% 2.28/2.47 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)))).
% 2.28/2.47 all W0 W1 (aScalar0(W0)&aScalar0(W1)->sdtasdt0(W0,smndt0(W1))=smndt0(sdtasdt0(W0,W1))&sdtasdt0(smndt0(W0),W1)=smndt0(sdtasdt0(W0,W1))).
% 2.28/2.47 all W0 W1 (aScalar0(W0)&aScalar0(W1)->sdtasdt0(smndt0(W0),smndt0(W1))=sdtasdt0(W0,W1)).
% 2.28/2.47 all W0 W1 (aScalar0(W0)&aScalar0(W1)-> (sdtlse_qdt0(W0,W1)->$T)).
% 2.28/2.47 all W0 (aScalar0(W0)->sdtlse_qdt0(W0,W0)).
% 2.28/2.47 all W0 W1 (aScalar0(W0)&aScalar0(W1)-> (sdtlse_qdt0(W0,W1)&sdtlse_qdt0(W1,W0)->W0=W1)).
% 2.28/2.47 all W0 W1 W2 (aScalar0(W0)&aScalar0(W1)&aScalar0(W2)-> (sdtlse_qdt0(W0,W1)&sdtlse_qdt0(W1,W2)->sdtlse_qdt0(W0,W2))).
% 2.28/2.47 all W0 W1 W2 W3 (aScalar0(W0)&aScalar0(W1)&aScalar0(W2)&aScalar0(W3)-> (sdtlse_qdt0(W0,W1)&sdtlse_qdt0(W2,W3)->sdtlse_qdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W3)))).
% 2.28/2.47 all W0 W1 W2 W3 (aScalar0(W0)&aScalar0(W1)&aScalar0(W2)&aScalar0(W3)-> (sdtlse_qdt0(W0,W1)&sdtlse_qdt0(sz0z00,W2)&sdtlse_qdt0(W2,W3)->sdtlse_qdt0(sdtasdt0(W0,W2),sdtasdt0(W1,W3)))).
% 2.28/2.47 all W0 W1 (aScalar0(W0)&aScalar0(W1)->sdtlse_qdt0(W0,W1)|sdtlse_qdt0(W1,W0)).
% 2.28/2.47 all W0 W1 (aScalar0(W0)&aScalar0(W1)-> (sdtlse_qdt0(sz0z00,W0)&sdtlse_qdt0(sz0z00,W1)->sdtlse_qdt0(sz0z00,sdtpldt0(W0,W1))&sdtlse_qdt0(sz0z00,sdtasdt0(W0,W1)))).
% 2.28/2.47 all W0 (aScalar0(W0)->sdtlse_qdt0(sz0z00,sdtasdt0(W0,W0))).
% 2.28/2.47 all W0 W1 (aScalar0(W0)&aScalar0(W1)-> (sdtlse_qdt0(sz0z00,W0)&sdtlse_qdt0(sz0z00,W1)&sdtasdt0(W0,W0)=sdtasdt0(W1,W1)->W0=W1)).
% 2.28/2.47 all W0 (aVector0(W0)->$T).
% 2.28/2.47 all W0 (aVector0(W0)->aNaturalNumber0(aDimensionOf0(W0))).
% 2.28/2.47 all W0 W1 (aVector0(W0)&aNaturalNumber0(W1)->aScalar0(sdtlbdtrb0(W0,W1))).
% 2.28/2.47 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))))))).
% 2.28/2.47 all W0 W1 (aVector0(W0)&aVector0(W1)-> (aDimensionOf0(W0)=aDimensionOf0(W1)&aDimensionOf0(W1)!=sz00->aDimensionOf0(sziznziztdt0(W0))=aDimensionOf0(sziznziztdt0(W1)))).
% 2.28/2.47 all W0 W1 (aVector0(W0)&aVector0(W1)-> (aDimensionOf0(W0)=aDimensionOf0(W1)->aScalar0(sdtasasdt0(W0,W1)))).
% 2.28/2.47 all W0 W1 (aVector0(W0)&aVector0(W1)-> (aDimensionOf0(W0)=aDimensionOf0(W1)&aDimensionOf0(W1)=sz00->sdtasasdt0(W0,W1)=sz0z00)).
% 2.28/2.47 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)))))).
% 2.28/2.47 all W0 (aVector0(W0)->sdtlse_qdt0(sz0z00,sdtasasdt0(W0,W0))).
% 2.28/2.47 aVector0(xs).
% 2.28/2.47 aVector0(xt).
% 2.28/2.47 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)))))).
% 2.28/2.47 aDimensionOf0(xs)=aDimensionOf0(xt).
% 2.28/2.47 aDimensionOf0(xs)!=sz00.
% 2.28/2.47 aVector0(xp).
% 2.28/2.47 szszuzczcdt0(aDimensionOf0(xp))=aDimensionOf0(xs).
% 2.28/2.47 all W0 (aNaturalNumber0(W0)->sdtlbdtrb0(xp,W0)=sdtlbdtrb0(xs,W0)).
% 2.28/2.47 xp=sziznziztdt0(xs).
% 2.28/2.47 aVector0(xq).
% 2.28/2.47 szszuzczcdt0(aDimensionOf0(xq))=aDimensionOf0(xt).
% 2.28/2.47 all W0 (aNaturalNumber0(W0)->sdtlbdtrb0(xq,W0)=sdtlbdtrb0(xt,W0)).
% 2.28/2.47 xq=sziznziztdt0(xt).
% 2.28/2.47 aScalar0(xA).
% 2.28/2.47 xA=sdtlbdtrb0(xs,aDimensionOf0(xs)).
% 2.28/2.47 aScalar0(xB).
% 2.28/2.47 xB=sdtlbdtrb0(xt,aDimensionOf0(xt)).
% 2.28/2.47 aScalar0(xC).
% 2.28/2.47 xC=sdtasasdt0(xp,xp).
% 2.28/2.47 aScalar0(xD).
% 2.28/2.47 xD=sdtasasdt0(xq,xq).
% 2.28/2.47 aScalar0(xE).
% 2.28/2.47 xE=sdtasasdt0(xp,xq).
% 2.28/2.47 aScalar0(xF).
% 2.28/2.47 xF=sdtasdt0(xA,xA).
% 2.28/2.47 aScalar0(xG).
% 2.28/2.47 xG=sdtasdt0(xB,xB).
% 2.28/2.47 aScalar0(xH).
% 2.28/2.47 xH=sdtasdt0(xA,xB).
% 2.28/2.47 aScalar0(xR).
% 2.28/2.47 xR=sdtasdt0(xC,xG).
% 2.28/2.47 aScalar0(xP).
% 2.28/2.47 xP=sdtasdt0(xE,xH).
% 2.28/2.47 aScalar0(xS).
% 2.28/2.47 xS=sdtasdt0(xF,xD).
% 2.28/2.47 aScalar0(xN).
% 2.28/2.47 xN=sdtasdt0(xR,xS).
% 2.28/2.47 sdtlse_qdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)).
% 2.28/2.47 sdtlse_qdt0(sdtasdt0(xP,xP),xN).
% 2.28/2.47 sdtasdt0(xR,smndt0(xS))=smndt0(xN).
% 2.28/2.47 sdtasdt0(smndt0(xS),xR)=smndt0(xN).
% 2.28/2.47 sdtasdt0(smndt0(xS),smndt0(xS))=sdtasdt0(xS,xS).
% 2.28/2.47 sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))=sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))).
% 2.28/2.47 sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))!=sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))).
% 2.28/2.47 end_of_list.
% 2.28/2.47
% 2.28/2.47 -------> usable clausifies to:
% 2.28/2.47
% 2.28/2.47 list(usable).
% 2.28/2.47 0 [] A=A.
% 2.28/2.47 0 [] -aNaturalNumber0(W0)|$T.
% 2.28/2.47 0 [] aNaturalNumber0(sz00).
% 2.28/2.47 0 [] -aNaturalNumber0(W0)|aNaturalNumber0(szszuzczcdt0(W0)).
% 2.28/2.47 0 [] -aNaturalNumber0(W0)|szszuzczcdt0(W0)!=sz00.
% 2.28/2.47 0 [] -aNaturalNumber0(W0)|W0=sz00|aNaturalNumber0($f1(W0)).
% 2.28/2.47 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=szszuzczcdt0($f1(W0)).
% 2.28/2.47 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|szszuzczcdt0(W0)!=szszuzczcdt0(W1)|W0=W1.
% 2.28/2.47 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -iLess0(W0,W1)|$T.
% 2.28/2.47 0 [] -aNaturalNumber0(W0)|iLess0(W0,szszuzczcdt0(W0)).
% 2.28/2.47 0 [] -aScalar0(W0)|$T.
% 2.28/2.47 0 [] aScalar0(sz0z00).
% 2.28/2.47 0 [] -aScalar0(W0)| -aScalar0(W1)|aScalar0(sdtpldt0(W0,W1)).
% 2.28/2.47 0 [] -aScalar0(W0)| -aScalar0(W1)|aScalar0(sdtasdt0(W0,W1)).
% 2.28/2.47 0 [] -aScalar0(W0)|aScalar0(smndt0(W0)).
% 2.28/2.47 0 [] -aScalar0(W0)|sdtpldt0(W0,sz0z00)=W0.
% 2.28/2.47 0 [] -aScalar0(W0)|sdtpldt0(sz0z00,W0)=W0.
% 2.28/2.47 0 [] -aScalar0(W0)|sdtasdt0(W0,sz0z00)=sz0z00.
% 2.28/2.47 0 [] -aScalar0(W0)|sdtasdt0(sz0z00,W0)=sz0z00.
% 2.28/2.47 0 [] -aScalar0(W0)|sdtpldt0(W0,smndt0(W0))=sz0z00.
% 2.28/2.47 0 [] -aScalar0(W0)|sdtpldt0(smndt0(W0),W0)=sz0z00.
% 2.28/2.47 0 [] -aScalar0(W0)|smndt0(smndt0(W0))=W0.
% 2.28/2.47 0 [] -aScalar0(W0)|smndt0(sz0z00)=sz0z00.
% 2.28/2.47 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)|sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2)).
% 2.28/2.47 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)|sdtpldt0(W0,W1)=sdtpldt0(W1,W0).
% 2.28/2.47 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)|sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2)).
% 2.28/2.47 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)|sdtasdt0(W0,W1)=sdtasdt0(W1,W0).
% 2.28/2.47 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)|sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)).
% 2.28/2.47 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)|sdtasdt0(sdtpldt0(W0,W1),W2)=sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2)).
% 2.28/2.47 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)| -aScalar0(W3)|sdtasdt0(sdtpldt0(W0,W1),sdtpldt0(W2,W3))=sdtpldt0(sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W0,W3)),sdtpldt0(sdtasdt0(W1,W2),sdtasdt0(W1,W3))).
% 2.28/2.47 0 [] -aScalar0(W0)| -aScalar0(W1)|sdtasdt0(W0,smndt0(W1))=smndt0(sdtasdt0(W0,W1)).
% 2.28/2.48 0 [] -aScalar0(W0)| -aScalar0(W1)|sdtasdt0(smndt0(W0),W1)=smndt0(sdtasdt0(W0,W1)).
% 2.28/2.48 0 [] -aScalar0(W0)| -aScalar0(W1)|sdtasdt0(smndt0(W0),smndt0(W1))=sdtasdt0(W0,W1).
% 2.28/2.48 0 [] -aScalar0(W0)| -aScalar0(W1)| -sdtlse_qdt0(W0,W1)|$T.
% 2.28/2.48 0 [] -aScalar0(W0)|sdtlse_qdt0(W0,W0).
% 2.28/2.48 0 [] -aScalar0(W0)| -aScalar0(W1)| -sdtlse_qdt0(W0,W1)| -sdtlse_qdt0(W1,W0)|W0=W1.
% 2.28/2.48 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)| -sdtlse_qdt0(W0,W1)| -sdtlse_qdt0(W1,W2)|sdtlse_qdt0(W0,W2).
% 2.28/2.48 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)).
% 2.28/2.48 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)).
% 2.28/2.48 0 [] -aScalar0(W0)| -aScalar0(W1)|sdtlse_qdt0(W0,W1)|sdtlse_qdt0(W1,W0).
% 2.28/2.48 0 [] -aScalar0(W0)| -aScalar0(W1)| -sdtlse_qdt0(sz0z00,W0)| -sdtlse_qdt0(sz0z00,W1)|sdtlse_qdt0(sz0z00,sdtpldt0(W0,W1)).
% 2.28/2.48 0 [] -aScalar0(W0)| -aScalar0(W1)| -sdtlse_qdt0(sz0z00,W0)| -sdtlse_qdt0(sz0z00,W1)|sdtlse_qdt0(sz0z00,sdtasdt0(W0,W1)).
% 2.28/2.48 0 [] -aScalar0(W0)|sdtlse_qdt0(sz0z00,sdtasdt0(W0,W0)).
% 2.28/2.48 0 [] -aScalar0(W0)| -aScalar0(W1)| -sdtlse_qdt0(sz0z00,W0)| -sdtlse_qdt0(sz0z00,W1)|sdtasdt0(W0,W0)!=sdtasdt0(W1,W1)|W0=W1.
% 2.28/2.48 0 [] -aVector0(W0)|$T.
% 2.28/2.48 0 [] -aVector0(W0)|aNaturalNumber0(aDimensionOf0(W0)).
% 2.28/2.48 0 [] -aVector0(W0)| -aNaturalNumber0(W1)|aScalar0(sdtlbdtrb0(W0,W1)).
% 2.28/2.48 0 [] -aVector0(W0)|aDimensionOf0(W0)=sz00|W1!=sziznziztdt0(W0)|aVector0(W1).
% 2.28/2.48 0 [] -aVector0(W0)|aDimensionOf0(W0)=sz00|W1!=sziznziztdt0(W0)|szszuzczcdt0(aDimensionOf0(W1))=aDimensionOf0(W0).
% 2.28/2.48 0 [] -aVector0(W0)|aDimensionOf0(W0)=sz00|W1!=sziznziztdt0(W0)| -aNaturalNumber0(W2)|sdtlbdtrb0(W1,W2)=sdtlbdtrb0(W0,W2).
% 2.28/2.48 0 [] -aVector0(W0)|aDimensionOf0(W0)=sz00|W1=sziznziztdt0(W0)| -aVector0(W1)|szszuzczcdt0(aDimensionOf0(W1))!=aDimensionOf0(W0)|aNaturalNumber0($f2(W0,W1)).
% 2.28/2.48 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)).
% 2.28/2.48 0 [] -aVector0(W0)| -aVector0(W1)|aDimensionOf0(W0)!=aDimensionOf0(W1)|aDimensionOf0(W1)=sz00|aDimensionOf0(sziznziztdt0(W0))=aDimensionOf0(sziznziztdt0(W1)).
% 2.28/2.48 0 [] -aVector0(W0)| -aVector0(W1)|aDimensionOf0(W0)!=aDimensionOf0(W1)|aScalar0(sdtasasdt0(W0,W1)).
% 2.28/2.48 0 [] -aVector0(W0)| -aVector0(W1)|aDimensionOf0(W0)!=aDimensionOf0(W1)|aDimensionOf0(W1)!=sz00|sdtasasdt0(W0,W1)=sz0z00.
% 2.28/2.48 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)))).
% 2.28/2.48 0 [] -aVector0(W0)|sdtlse_qdt0(sz0z00,sdtasasdt0(W0,W0)).
% 2.28/2.48 0 [] aVector0(xs).
% 2.28/2.48 0 [] aVector0(xt).
% 2.28/2.48 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))).
% 2.28/2.48 0 [] aDimensionOf0(xs)=aDimensionOf0(xt).
% 2.28/2.48 0 [] aDimensionOf0(xs)!=sz00.
% 2.28/2.48 0 [] aVector0(xp).
% 2.28/2.48 0 [] szszuzczcdt0(aDimensionOf0(xp))=aDimensionOf0(xs).
% 2.28/2.48 0 [] -aNaturalNumber0(W0)|sdtlbdtrb0(xp,W0)=sdtlbdtrb0(xs,W0).
% 2.28/2.48 0 [] xp=sziznziztdt0(xs).
% 2.28/2.48 0 [] aVector0(xq).
% 2.28/2.48 0 [] szszuzczcdt0(aDimensionOf0(xq))=aDimensionOf0(xt).
% 2.28/2.48 0 [] -aNaturalNumber0(W0)|sdtlbdtrb0(xq,W0)=sdtlbdtrb0(xt,W0).
% 2.28/2.48 0 [] xq=sziznziztdt0(xt).
% 2.28/2.48 0 [] aScalar0(xA).
% 2.28/2.48 0 [] xA=sdtlbdtrb0(xs,aDimensionOf0(xs)).
% 2.28/2.48 0 [] aScalar0(xB).
% 2.28/2.48 0 [] xB=sdtlbdtrb0(xt,aDimensionOf0(xt)).
% 2.28/2.48 0 [] aScalar0(xC).
% 2.28/2.48 0 [] xC=sdtasasdt0(xp,xp).
% 2.28/2.48 0 [] aScalar0(xD).
% 2.28/2.48 0 [] xD=sdtasasdt0(xq,xq).
% 2.28/2.48 0 [] aScalar0(xE).
% 2.28/2.48 0 [] xE=sdtasasdt0(xp,xq).
% 2.28/2.48 0 [] aScalar0(xF).
% 2.28/2.48 0 [] xF=sdtasdt0(xA,xA).
% 2.28/2.48 0 [] aScalar0(xG).
% 2.28/2.48 0 [] xG=sdtasdt0(xB,xB).
% 2.28/2.48 0 [] aScalar0(xH).
% 2.28/2.48 0 [] xH=sdtasdt0(xA,xB).
% 2.28/2.48 0 [] aScalar0(xR).
% 2.28/2.48 0 [] xR=sdtasdt0(xC,xG).
% 2.28/2.48 0 [] aScalar0(xP).
% 2.28/2.48 0 [] xP=sdtasdt0(xE,xH).
% 2.28/2.48 0 [] aScalar0(xS).
% 2.28/2.48 0 [] xS=sdtasdt0(xF,xD).
% 2.28/2.48 0 [] aScalar0(xN).
% 2.28/2.48 0 [] xN=sdtasdt0(xR,xS).
% 2.28/2.48 0 [] sdtlse_qdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)).
% 2.33/2.49 0 [] sdtlse_qdt0(sdtasdt0(xP,xP),xN).
% 2.33/2.49 0 [] sdtasdt0(xR,smndt0(xS))=smndt0(xN).
% 2.33/2.49 0 [] sdtasdt0(smndt0(xS),xR)=smndt0(xN).
% 2.33/2.49 0 [] sdtasdt0(smndt0(xS),smndt0(xS))=sdtasdt0(xS,xS).
% 2.33/2.49 0 [] sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))=sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))).
% 2.33/2.49 0 [] sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))!=sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))).
% 2.33/2.49 end_of_list.
% 2.33/2.49
% 2.33/2.49 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 2.33/2.49
% 2.33/2.49 This ia a non-Horn set with equality. The strategy will be
% 2.33/2.49 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.33/2.49 deletion, with positive clauses in sos and nonpositive
% 2.33/2.49 clauses in usable.
% 2.33/2.49
% 2.33/2.49 dependent: set(knuth_bendix).
% 2.33/2.49 dependent: set(anl_eq).
% 2.33/2.49 dependent: set(para_from).
% 2.33/2.49 dependent: set(para_into).
% 2.33/2.49 dependent: clear(para_from_right).
% 2.33/2.49 dependent: clear(para_into_right).
% 2.33/2.49 dependent: set(para_from_vars).
% 2.33/2.49 dependent: set(eq_units_both_ways).
% 2.33/2.49 dependent: set(dynamic_demod_all).
% 2.33/2.49 dependent: set(dynamic_demod).
% 2.33/2.49 dependent: set(order_eq).
% 2.33/2.49 dependent: set(back_demod).
% 2.33/2.49 dependent: set(lrpo).
% 2.33/2.49 dependent: set(hyper_res).
% 2.33/2.49 dependent: set(unit_deletion).
% 2.33/2.49 dependent: set(factor).
% 2.33/2.49
% 2.33/2.49 ------------> process usable:
% 2.33/2.49 ** KEPT (pick-wt=5): 1 [] -aNaturalNumber0(A)|aNaturalNumber0(szszuzczcdt0(A)).
% 2.33/2.49 ** KEPT (pick-wt=6): 2 [] -aNaturalNumber0(A)|szszuzczcdt0(A)!=sz00.
% 2.33/2.49 ** KEPT (pick-wt=8): 3 [] -aNaturalNumber0(A)|A=sz00|aNaturalNumber0($f1(A)).
% 2.33/2.49 ** KEPT (pick-wt=10): 5 [copy,4,flip.3] -aNaturalNumber0(A)|A=sz00|szszuzczcdt0($f1(A))=A.
% 2.33/2.49 ** KEPT (pick-wt=12): 6 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|szszuzczcdt0(A)!=szszuzczcdt0(B)|A=B.
% 2.33/2.49 ** KEPT (pick-wt=6): 7 [] -aNaturalNumber0(A)|iLess0(A,szszuzczcdt0(A)).
% 2.33/2.49 ** KEPT (pick-wt=8): 8 [] -aScalar0(A)| -aScalar0(B)|aScalar0(sdtpldt0(A,B)).
% 2.33/2.49 ** KEPT (pick-wt=8): 9 [] -aScalar0(A)| -aScalar0(B)|aScalar0(sdtasdt0(A,B)).
% 2.33/2.49 ** KEPT (pick-wt=5): 10 [] -aScalar0(A)|aScalar0(smndt0(A)).
% 2.33/2.49 ** KEPT (pick-wt=7): 11 [] -aScalar0(A)|sdtpldt0(A,sz0z00)=A.
% 2.33/2.49 ** KEPT (pick-wt=7): 12 [] -aScalar0(A)|sdtpldt0(sz0z00,A)=A.
% 2.33/2.49 ** KEPT (pick-wt=7): 13 [] -aScalar0(A)|sdtasdt0(A,sz0z00)=sz0z00.
% 2.33/2.49 ** KEPT (pick-wt=7): 14 [] -aScalar0(A)|sdtasdt0(sz0z00,A)=sz0z00.
% 2.33/2.49 ** KEPT (pick-wt=8): 15 [] -aScalar0(A)|sdtpldt0(A,smndt0(A))=sz0z00.
% 2.33/2.49 ** KEPT (pick-wt=8): 16 [] -aScalar0(A)|sdtpldt0(smndt0(A),A)=sz0z00.
% 2.33/2.49 ** KEPT (pick-wt=7): 17 [] -aScalar0(A)|smndt0(smndt0(A))=A.
% 2.33/2.49 ** KEPT (pick-wt=6): 18 [] -aScalar0(A)|smndt0(sz0z00)=sz0z00.
% 2.33/2.49 ** KEPT (pick-wt=17): 19 [] -aScalar0(A)| -aScalar0(B)| -aScalar0(C)|sdtpldt0(sdtpldt0(A,B),C)=sdtpldt0(A,sdtpldt0(B,C)).
% 2.33/2.49 ** KEPT (pick-wt=11): 21 [copy,20,factor_simp] -aScalar0(A)| -aScalar0(B)|sdtpldt0(A,B)=sdtpldt0(B,A).
% 2.33/2.49 ** KEPT (pick-wt=17): 22 [] -aScalar0(A)| -aScalar0(B)| -aScalar0(C)|sdtasdt0(sdtasdt0(A,B),C)=sdtasdt0(A,sdtasdt0(B,C)).
% 2.33/2.49 ** KEPT (pick-wt=11): 24 [copy,23,factor_simp] -aScalar0(A)| -aScalar0(B)|sdtasdt0(A,B)=sdtasdt0(B,A).
% 2.33/2.49 ** 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)).
% 2.33/2.49 ** 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).
% 2.33/2.49 ** 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)).
% 2.33/2.49 ** KEPT (pick-wt=13): 32 [copy,31,flip.3] -aScalar0(A)| -aScalar0(B)|smndt0(sdtasdt0(A,B))=sdtasdt0(A,smndt0(B)).
% 2.33/2.49 ** KEPT (pick-wt=13): 34 [copy,33,flip.3] -aScalar0(A)| -aScalar0(B)|smndt0(sdtasdt0(A,B))=sdtasdt0(smndt0(A),B).
% 2.33/2.49 ** KEPT (pick-wt=13): 35 [] -aScalar0(A)| -aScalar0(B)|sdtasdt0(smndt0(A),smndt0(B))=sdtasdt0(A,B).
% 2.33/2.49 ** KEPT (pick-wt=5): 36 [] -aScalar0(A)|sdtlse_qdt0(A,A).
% 2.33/2.49 ** KEPT (pick-wt=13): 37 [] -aScalar0(A)| -aScalar0(B)| -sdtlse_qdt0(A,B)| -sdtlse_qdt0(B,A)|A=B.
% 2.33/2.49 ** KEPT (pick-wt=15): 38 [] -aScalar0(A)| -aScalar0(B)| -aScalar0(C)| -sdtlse_qdt0(A,B)| -sdtlse_qdt0(B,C)|sdtlse_qdt0(A,C).
% 2.33/2.49 ** 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)).
% 2.33/2.49 ** 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)).
% 2.33/2.49 ** KEPT (pick-wt=10): 41 [] -aScalar0(A)| -aScalar0(B)|sdtlse_qdt0(A,B)|sdtlse_qdt0(B,A).
% 2.33/2.49 ** KEPT (pick-wt=15): 42 [] -aScalar0(A)| -aScalar0(B)| -sdtlse_qdt0(sz0z00,A)| -sdtlse_qdt0(sz0z00,B)|sdtlse_qdt0(sz0z00,sdtpldt0(A,B)).
% 2.33/2.49 ** KEPT (pick-wt=15): 43 [] -aScalar0(A)| -aScalar0(B)| -sdtlse_qdt0(sz0z00,A)| -sdtlse_qdt0(sz0z00,B)|sdtlse_qdt0(sz0z00,sdtasdt0(A,B)).
% 2.33/2.49 ** KEPT (pick-wt=7): 44 [] -aScalar0(A)|sdtlse_qdt0(sz0z00,sdtasdt0(A,A)).
% 2.33/2.49 ** 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.
% 2.33/2.49 ** KEPT (pick-wt=5): 46 [] -aVector0(A)|aNaturalNumber0(aDimensionOf0(A)).
% 2.33/2.49 ** KEPT (pick-wt=8): 47 [] -aVector0(A)| -aNaturalNumber0(B)|aScalar0(sdtlbdtrb0(A,B)).
% 2.33/2.49 ** KEPT (pick-wt=12): 48 [] -aVector0(A)|aDimensionOf0(A)=sz00|B!=sziznziztdt0(A)|aVector0(B).
% 2.33/2.49 ** KEPT (pick-wt=16): 49 [] -aVector0(A)|aDimensionOf0(A)=sz00|B!=sziznziztdt0(A)|szszuzczcdt0(aDimensionOf0(B))=aDimensionOf0(A).
% 2.33/2.49 ** KEPT (pick-wt=19): 50 [] -aVector0(A)|aDimensionOf0(A)=sz00|B!=sziznziztdt0(A)| -aNaturalNumber0(C)|sdtlbdtrb0(B,C)=sdtlbdtrb0(A,C).
% 2.33/2.49 ** KEPT (pick-wt=22): 51 [] -aVector0(A)|aDimensionOf0(A)=sz00|B=sziznziztdt0(A)| -aVector0(B)|szszuzczcdt0(aDimensionOf0(B))!=aDimensionOf0(A)|aNaturalNumber0($f2(A,B)).
% 2.33/2.49 ** KEPT (pick-wt=29): 52 [] -aVector0(A)|aDimensionOf0(A)=sz00|B=sziznziztdt0(A)| -aVector0(B)|szszuzczcdt0(aDimensionOf0(B))!=aDimensionOf0(A)|sdtlbdtrb0(B,$f2(A,B))!=sdtlbdtrb0(A,$f2(A,B)).
% 2.33/2.49 ** KEPT (pick-wt=20): 53 [] -aVector0(A)| -aVector0(B)|aDimensionOf0(A)!=aDimensionOf0(B)|aDimensionOf0(B)=sz00|aDimensionOf0(sziznziztdt0(A))=aDimensionOf0(sziznziztdt0(B)).
% 2.33/2.49 ** KEPT (pick-wt=13): 54 [] -aVector0(A)| -aVector0(B)|aDimensionOf0(A)!=aDimensionOf0(B)|aScalar0(sdtasasdt0(A,B)).
% 2.33/2.49 ** KEPT (pick-wt=18): 55 [] -aVector0(A)| -aVector0(B)|aDimensionOf0(A)!=aDimensionOf0(B)|aDimensionOf0(B)!=sz00|sdtasasdt0(A,B)=sz0z00.
% 2.33/2.49 ** 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).
% 2.33/2.49 ** KEPT (pick-wt=7): 58 [] -aVector0(A)|sdtlse_qdt0(sz0z00,sdtasasdt0(A,A)).
% 2.33/2.49 ** 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))).
% 2.33/2.49 ** KEPT (pick-wt=4): 60 [] aDimensionOf0(xs)!=sz00.
% 2.33/2.49 ** KEPT (pick-wt=9): 62 [copy,61,flip.2] -aNaturalNumber0(A)|sdtlbdtrb0(xs,A)=sdtlbdtrb0(xp,A).
% 2.33/2.49 ** KEPT (pick-wt=9): 64 [copy,63,flip.2] -aNaturalNumber0(A)|sdtlbdtrb0(xt,A)=sdtlbdtrb0(xq,A).
% 2.33/2.49 ** KEPT (pick-wt=23): 65 [] sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))!=sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))).
% 2.33/2.49
% 2.33/2.49 ------------> process sos:
% 2.33/2.49 ** KEPT (pick-wt=3): 151 [] A=A.
% 2.33/2.49 ** KEPT (pick-wt=2): 152 [] aNaturalNumber0(sz00).
% 2.33/2.49 ** KEPT (pick-wt=2): 153 [] aScalar0(sz0z00).
% 2.33/2.49 ** KEPT (pick-wt=2): 154 [] aVector0(xs).
% 2.33/2.49 ** KEPT (pick-wt=2): 155 [] aVector0(xt).
% 2.33/2.49 ** KEPT (pick-wt=5): 157 [copy,156,flip.1] aDimensionOf0(xt)=aDimensionOf0(xs).
% 2.33/2.49 ---> New Demodulator: 158 [new_demod,157] aDimensionOf0(xt)=aDimensionOf0(xs).
% 2.33/2.49 ** KEPT (pick-wt=2): 159 [] aVector0(xp).
% 2.33/2.49 ** KEPT (pick-wt=6): 160 [] szszuzczcdt0(aDimensionOf0(xp))=aDimensionOf0(xs).
% 2.33/2.49 ---> New Demodulator: 161 [new_demod,160] szszuzczcdt0(aDimensionOf0(xp))=aDimensionOf0(xs).
% 2.33/2.49 ** KEPT (pick-wt=4): 163 [copy,162,flip.1] sziznziztdt0(xs)=xp.
% 2.33/2.49 ---> New Demodulator: 164 [new_demod,163] sziznziztdt0(xs)=xp.
% 2.33/2.49 ** KEPT (pick-wt=2): 165 [] aVector0(xq).
% 2.33/2.49 ** KEPT (pick-wt=6): 167 [copy,166,demod,158] szszuzczcdt0(aDimensionOf0(xq))=aDimensionOf0(xs).
% 2.33/2.49 ---> New Demodulator: 168 [new_demod,167] szszuzczcdt0(aDimensionOf0(xq))=aDimensionOf0(xs).
% 2.33/2.49 ** KEPT (pick-wt=4): 170 [copy,169,flip.1] sziznziztdt0(xt)=xq.
% 2.33/2.49 ---> New Demodulator: 171 [new_demod,170] sziznziztdt0(xt)=xq.
% 2.33/2.49 ** KEPT (pick-wt=2): 172 [] aScalar0(xA).
% 2.33/2.49 ** KEPT (pick-wt=6): 174 [copy,173,flip.1] sdtlbdtrb0(xs,aDimensionOf0(xs))=xA.
% 2.33/2.49 ---> New Demodulator: 175 [new_demod,174] sdtlbdtrb0(xs,aDimensionOf0(xs))=xA.
% 2.33/2.49 ** KEPT (pick-wt=2): 176 [] aScalar0(xB).
% 2.33/2.49 ** KEPT (pick-wt=6): 178 [copy,177,demod,158,flip.1] sdtlbdtrb0(xt,aDimensionOf0(xs))=xB.
% 2.33/2.49 ---> New Demodulator: 179 [new_demod,178] sdtlbdtrb0(xt,aDimensionOf0(xs))=xB.
% 2.33/2.49 ** KEPT (pick-wt=2): 180 [] aScalar0(xC).
% 2.33/2.49 ** KEPT (pick-wt=5): 182 [copy,181,flip.1] sdtasasdt0(xp,xp)=xC.
% 2.33/2.49 ---> New Demodulator: 183 [new_demod,182] sdtasasdt0(xp,xp)=xC.
% 2.33/2.49 ** KEPT (pick-wt=2): 184 [] aScalar0(xD).
% 2.33/2.49 ** KEPT (pick-wt=5): 186 [copy,185,flip.1] sdtasasdt0(xq,xq)=xD.
% 2.33/2.49 ---> New Demodulator: 187 [new_demod,186] sdtasasdt0(xq,xq)=xD.
% 2.33/2.49 ** KEPT (pick-wt=2): 188 [] aScalar0(xE).
% 2.33/2.49 ** KEPT (pick-wt=5): 190 [copy,189,flip.1] sdtasasdt0(xp,xq)=xE.
% 2.33/2.49 ---> New Demodulator: 191 [new_demod,190] sdtasasdt0(xp,xq)=xE.
% 2.33/2.49 ** KEPT (pick-wt=2): 192 [] aScalar0(xF).
% 2.33/2.49 ** KEPT (pick-wt=5): 194 [copy,193,flip.1] sdtasdt0(xA,xA)=xF.
% 2.33/2.49 ---> New Demodulator: 195 [new_demod,194] sdtasdt0(xA,xA)=xF.
% 2.33/2.49 ** KEPT (pick-wt=2): 196 [] aScalar0(xG).
% 2.33/2.49 ** KEPT (pick-wt=5): 198 [copy,197,flip.1] sdtasdt0(xB,xB)=xG.
% 2.33/2.49 ---> New Demodulator: 199 [new_demod,198] sdtasdt0(xB,xB)=xG.
% 2.33/2.49 ** KEPT (pick-wt=2): 200 [] aScalar0(xH).
% 2.33/2.49 ** KEPT (pick-wt=5): 202 [copy,201,flip.1] sdtasdt0(xA,xB)=xH.
% 2.33/2.49 ---> New Demodulator: 203 [new_demod,202] sdtasdt0(xA,xB)=xH.
% 2.33/2.49 ** KEPT (pick-wt=2): 204 [] aScalar0(xR).
% 2.33/2.49 ** KEPT (pick-wt=5): 206 [copy,205,flip.1] sdtasdt0(xC,xG)=xR.
% 2.33/2.49 ---> New Demodulator: 207 [new_demod,206] sdtasdt0(xC,xG)=xR.
% 2.33/2.49 ** KEPT (pick-wt=2): 208 [] aScalar0(xP).
% 2.33/2.49 ** KEPT (pick-wt=5): 210 [copy,209,flip.1] sdtasdt0(xE,xH)=xP.
% 2.33/2.49 ---> New Demodulator: 211 [new_demod,210] sdtasdt0(xE,xH)=xP.
% 2.33/2.49 ** KEPT (pick-wt=2): 212 [] aScalar0(xS).
% 2.33/2.49 ** KEPT (pick-wt=5): 214 [copy,213,flip.1] sdtasdt0(xF,xD)=xS.
% 2.33/2.49 ---> New Demodulator: 215 [new_demod,214] sdtasdt0(xF,xD)=xS.
% 2.33/2.49 ** KEPT (pick-wt=2): 216 [] aScalar0(xN).
% 2.33/2.49 ** KEPT (pick-wt=5): 218 [copy,217,flip.1] sdtasdt0(xR,xS)=xN.
% 2.33/2.49 ---> New Demodulator: 219 [new_demod,218] sdtasdt0(xR,xS)=xN.
% 2.33/2.49 ** KEPT (pick-wt=7): 220 [] sdtlse_qdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)).
% 2.33/2.49 ** KEPT (pick-wt=5): 221 [] sdtlse_qdt0(sdtasdt0(xP,xP),xN).
% 2.33/2.49 ** KEPT (pick-wt=7): 222 [] sdtasdt0(xR,smndt0(xS))=smndt0(xN).
% 2.33/2.49 ---> New Demodulator: 223 [new_demod,222] sdtasdt0(xR,smndt0(xS))=smndt0(xN).
% 2.33/2.49 ** KEPT (pick-wt=7): 224 [] sdtasdt0(smndt0(xS),xR)=smndt0(xN).
% 2.33/2.49 ---> New Demodulator: 225 [new_demod,224] sdtasdt0(smndt0(xS),xR)=smndt0(xN).
% 2.33/2.49 ** KEPT (pick-wt=9): 226 [] sdtasdt0(smndt0(xS),smndt0(xS))=sdtasdt0(xS,xS).
% 2.33/2.49 ---> New Demodulator: 227 [new_demod,226] sdtasdt0(smndt0(xS),smndt0(xS))=sdtasdt0(xS,xS).
% 2.33/2.49 ** KEPT (pick-wt=23): 228 [] sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))=sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))).
% 2.33/2.49 ---> New Demodulator: 229 [new_demod,228] sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))=sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))).
% 2.33/2.49 Following clause subsumed by 151 during input processing: 0 [copy,151,flip.1] A=A.
% 2.33/2.49 151 back subsumes 113.
% 2.33/2.49 151 back subsumes 110.
% 2.33/2.49 151 back subsumes 92.
% 2.33/2.49 151 back subsumes 76.
% 2.33/2.49 151 back subsumes 72.
% 2.33/2.49 151 back subsumes 66.
% 2.33/2.49 >>>> Starting back demodulation with 158.
% 2.33/2.49 >>>> Starting back demodulation with 161.
% 2.33/2.49 >>>> Starting back demodulation with 164.
% 2.33/2.49 >>>> Starting back demodulation with 168.
% 2.33/2.49 >>>> Starting back demodulation with 171.
% 2.33/2.49 >>>> Starting back demodulation with 175.
% 2.33/2.49 >>>> Starting back demodulation with 179.
% 2.33/2.49 >>>> Starting back demodulation with 183.
% 2.33/2.49 >>>> Starting back demodulation with 187.
% 2.33/2.49 >>>> Starting back demodulation with 191.
% 2.33/2.49 >>>> Starting back demodulation with 195.
% 2.33/2.49 >>>> Starting back demodulation with 199.
% 2.33/2.49 >>>> Starting back demodulation with 203.
% 2.33/2.49 >>>> Starting back demodulation with 207.
% 124.05/124.23 >>>> Starting back demodulation with 211.
% 124.05/124.23 >>>> Starting back demodulation with 215.
% 124.05/124.23 >>>> Starting back demodulation with 219.
% 124.05/124.23 >>>> Starting back demodulation with 223.
% 124.05/124.23 >>>> Starting back demodulation with 225.
% 124.05/124.23 >>>> Starting back demodulation with 227.
% 124.05/124.23 >>>> Starting back demodulation with 229.
% 124.05/124.23 >> back demodulating 65 with 229.
% 124.05/124.23
% 124.05/124.23 ======= end of input processing =======
% 124.05/124.23
% 124.05/124.23 =========== start of search ===========
% 124.05/124.23
% 124.05/124.23
% 124.05/124.23 Resetting weight limit to 4.
% 124.05/124.23
% 124.05/124.23
% 124.05/124.23 Resetting weight limit to 4.
% 124.05/124.23
% 124.05/124.23 sos_size=493
% 124.05/124.23
% 124.05/124.23 -- HEY sandbox2, WE HAVE A PROOF!! --
% 124.05/124.23
% 124.05/124.23 -----> EMPTY CLAUSE at 121.76 sec ----> 2695 [para_into,230.1.1.2,21.3.1,unit_del,151,2635,2585] $F.
% 124.05/124.23
% 124.05/124.23 Length of proof is 5. Level of proof is 2.
% 124.05/124.23
% 124.05/124.23 ---------------- PROOF ----------------
% 124.05/124.23 % SZS status Theorem
% 124.05/124.23 % SZS output start Refutation
% See solution above
% 124.05/124.23 ------------ end of proof -------------
% 124.05/124.23
% 124.05/124.23
% 124.05/124.23 Search stopped by max_proofs option.
% 124.05/124.23
% 124.05/124.23
% 124.05/124.23 Search stopped by max_proofs option.
% 124.05/124.23
% 124.05/124.23 ============ end of search ============
% 124.05/124.23
% 124.05/124.23 -------------- statistics -------------
% 124.05/124.23 clauses given 116
% 124.05/124.23 clauses generated 16739724
% 124.05/124.23 clauses kept 1645
% 124.05/124.23 clauses forward subsumed 3592
% 124.05/124.23 clauses back subsumed 6
% 124.05/124.23 Kbytes malloced 4882
% 124.05/124.23
% 124.05/124.23 ----------- times (seconds) -----------
% 124.05/124.23 user CPU time 121.76 (0 hr, 2 min, 1 sec)
% 124.05/124.23 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 124.05/124.23 wall-clock time 124 (0 hr, 2 min, 4 sec)
% 124.05/124.23
% 124.05/124.23 That finishes the proof of the theorem.
% 124.05/124.23
% 124.05/124.23 Process 31810 finished Wed Jul 27 02:13:59 2022
% 124.05/124.23 Otter interrupted
% 124.05/124.23 PROOF FOUND
%------------------------------------------------------------------------------