TSTP Solution File: RNG068+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : RNG068+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n007.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 13:12:13 EDT 2022
% Result : Timeout 299.89s 300.05s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG068+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n007.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 01:53:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.12/2.35 ----- Otter 3.3f, August 2004 -----
% 2.12/2.35 The process was started by sandbox2 on n007.cluster.edu,
% 2.12/2.35 Wed Jul 27 01:53:16 2022
% 2.12/2.35 The command was "./otter". The process ID is 8283.
% 2.12/2.35
% 2.12/2.35 set(prolog_style_variables).
% 2.12/2.35 set(auto).
% 2.12/2.35 dependent: set(auto1).
% 2.12/2.35 dependent: set(process_input).
% 2.12/2.35 dependent: clear(print_kept).
% 2.12/2.35 dependent: clear(print_new_demod).
% 2.12/2.35 dependent: clear(print_back_demod).
% 2.12/2.35 dependent: clear(print_back_sub).
% 2.12/2.35 dependent: set(control_memory).
% 2.12/2.35 dependent: assign(max_mem, 12000).
% 2.12/2.35 dependent: assign(pick_given_ratio, 4).
% 2.12/2.35 dependent: assign(stats_level, 1).
% 2.12/2.35 dependent: assign(max_seconds, 10800).
% 2.12/2.35 clear(print_given).
% 2.12/2.35
% 2.12/2.35 formula_list(usable).
% 2.12/2.35 all A (A=A).
% 2.12/2.35 all W0 (aNaturalNumber0(W0)->$T).
% 2.12/2.35 aNaturalNumber0(sz00).
% 2.12/2.35 all W0 (aNaturalNumber0(W0)->aNaturalNumber0(szszuzczcdt0(W0))&szszuzczcdt0(W0)!=sz00).
% 2.12/2.35 all W0 (aNaturalNumber0(W0)&W0!=sz00-> (exists W1 (aNaturalNumber0(W1)&W0=szszuzczcdt0(W1)))).
% 2.12/2.35 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (szszuzczcdt0(W0)=szszuzczcdt0(W1)->W0=W1)).
% 2.12/2.35 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (iLess0(W0,W1)->$T)).
% 2.12/2.35 all W0 (aNaturalNumber0(W0)->iLess0(W0,szszuzczcdt0(W0))).
% 2.12/2.35 all W0 (aScalar0(W0)->$T).
% 2.12/2.35 aScalar0(sz0z00).
% 2.12/2.35 all W0 W1 (aScalar0(W0)&aScalar0(W1)->aScalar0(sdtpldt0(W0,W1))).
% 2.12/2.35 all W0 W1 (aScalar0(W0)&aScalar0(W1)->aScalar0(sdtasdt0(W0,W1))).
% 2.12/2.35 all W0 (aScalar0(W0)->aScalar0(smndt0(W0))).
% 2.12/2.35 all W0 (aScalar0(W0)->sdtpldt0(W0,sz0z00)=W0&sdtpldt0(sz0z00,W0)=W0&sdtasdt0(W0,sz0z00)=sz0z00&sdtasdt0(sz0z00,W0)=sz0z00&sdtpldt0(W0,smndt0(W0))=sz0z00&sdtpldt0(smndt0(W0),W0)=sz0z00&smndt0(smndt0(W0))=W0&smndt0(sz0z00)=sz0z00).
% 2.12/2.35 all W0 W1 W2 (aScalar0(W0)&aScalar0(W1)&aScalar0(W2)->sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2))&sdtpldt0(W0,W1)=sdtpldt0(W1,W0)&sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2))&sdtasdt0(W0,W1)=sdtasdt0(W1,W0)).
% 2.12/2.35 all W0 W1 W2 (aScalar0(W0)&aScalar0(W1)&aScalar0(W2)->sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))&sdtasdt0(sdtpldt0(W0,W1),W2)=sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2))).
% 2.12/2.35 all W0 W1 W2 W3 (aScalar0(W0)&aScalar0(W1)&aScalar0(W2)&aScalar0(W3)->sdtasdt0(sdtpldt0(W0,W1),sdtpldt0(W2,W3))=sdtpldt0(sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W0,W3)),sdtpldt0(sdtasdt0(W1,W2),sdtasdt0(W1,W3)))).
% 2.12/2.35 all W0 W1 (aScalar0(W0)&aScalar0(W1)->sdtasdt0(W0,smndt0(W1))=smndt0(sdtasdt0(W0,W1))&sdtasdt0(smndt0(W0),W1)=smndt0(sdtasdt0(W0,W1))).
% 2.12/2.35 all W0 W1 (aScalar0(W0)&aScalar0(W1)->sdtasdt0(smndt0(W0),smndt0(W1))=sdtasdt0(W0,W1)).
% 2.12/2.35 all W0 W1 (aScalar0(W0)&aScalar0(W1)-> (sdtlse_qdt0(W0,W1)->$T)).
% 2.12/2.35 all W0 (aScalar0(W0)->sdtlse_qdt0(W0,W0)).
% 2.12/2.35 all W0 W1 (aScalar0(W0)&aScalar0(W1)-> (sdtlse_qdt0(W0,W1)&sdtlse_qdt0(W1,W0)->W0=W1)).
% 2.12/2.35 all W0 W1 W2 (aScalar0(W0)&aScalar0(W1)&aScalar0(W2)-> (sdtlse_qdt0(W0,W1)&sdtlse_qdt0(W1,W2)->sdtlse_qdt0(W0,W2))).
% 2.12/2.35 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)))).
% 2.12/2.35 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)))).
% 2.12/2.35 all W0 W1 (aScalar0(W0)&aScalar0(W1)->sdtlse_qdt0(W0,W1)|sdtlse_qdt0(W1,W0)).
% 2.12/2.35 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)))).
% 2.12/2.35 all W0 (aScalar0(W0)->sdtlse_qdt0(sz0z00,sdtasdt0(W0,W0))).
% 2.12/2.35 all W0 W1 (aScalar0(W0)&aScalar0(W1)-> (sdtlse_qdt0(sz0z00,W0)&sdtlse_qdt0(sz0z00,W1)&sdtasdt0(W0,W0)=sdtasdt0(W1,W1)->W0=W1)).
% 2.12/2.35 all W0 (aVector0(W0)->$T).
% 2.12/2.35 all W0 (aVector0(W0)->aNaturalNumber0(aDimensionOf0(W0))).
% 2.12/2.35 all W0 W1 (aVector0(W0)&aNaturalNumber0(W1)->aScalar0(sdtlbdtrb0(W0,W1))).
% 2.12/2.35 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))))))).
% 2.12/2.35 all W0 W1 (aVector0(W0)&aVector0(W1)-> (aDimensionOf0(W0)=aDimensionOf0(W1)&aDimensionOf0(W1)!=sz00->aDimensionOf0(sziznziztdt0(W0))=aDimensionOf0(sziznziztdt0(W1)))).
% 2.12/2.35 all W0 W1 (aVector0(W0)&aVector0(W1)-> (aDimensionOf0(W0)=aDimensionOf0(W1)->aScalar0(sdtasasdt0(W0,W1)))).
% 2.12/2.35 all W0 W1 (aVector0(W0)&aVector0(W1)-> (aDimensionOf0(W0)=aDimensionOf0(W1)&aDimensionOf0(W1)=sz00->sdtasasdt0(W0,W1)=sz0z00)).
% 2.12/2.35 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)))))).
% 2.12/2.35 all W0 (aVector0(W0)->sdtlse_qdt0(sz0z00,sdtasasdt0(W0,W0))).
% 2.12/2.35 aVector0(xs).
% 2.12/2.35 aVector0(xt).
% 2.12/2.35 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)))))).
% 2.12/2.35 aDimensionOf0(xs)=aDimensionOf0(xt).
% 2.12/2.35 aDimensionOf0(xs)!=sz00.
% 2.12/2.35 aVector0(xp).
% 2.12/2.35 xp=sziznziztdt0(xs).
% 2.12/2.35 aVector0(xq).
% 2.12/2.35 xq=sziznziztdt0(xt).
% 2.12/2.35 aScalar0(xA).
% 2.12/2.35 xA=sdtlbdtrb0(xs,aDimensionOf0(xs)).
% 2.12/2.35 aScalar0(xB).
% 2.12/2.35 xB=sdtlbdtrb0(xt,aDimensionOf0(xt)).
% 2.12/2.35 aScalar0(xC).
% 2.12/2.35 xC=sdtasasdt0(xp,xp).
% 2.12/2.35 aScalar0(xD).
% 2.12/2.35 xD=sdtasasdt0(xq,xq).
% 2.12/2.35 aScalar0(xE).
% 2.12/2.35 xE=sdtasasdt0(xp,xq).
% 2.12/2.35 aScalar0(xF).
% 2.12/2.35 xF=sdtasdt0(xA,xA).
% 2.12/2.35 aScalar0(xG).
% 2.12/2.35 xG=sdtasdt0(xB,xB).
% 2.12/2.35 aScalar0(xH).
% 2.12/2.35 xH=sdtasdt0(xA,xB).
% 2.12/2.35 aScalar0(xR).
% 2.12/2.35 xR=sdtasdt0(xC,xG).
% 2.12/2.35 aScalar0(xP).
% 2.12/2.35 xP=sdtasdt0(xE,xH).
% 2.12/2.35 aScalar0(xS).
% 2.12/2.35 xS=sdtasdt0(xF,xD).
% 2.12/2.35 aScalar0(xN).
% 2.12/2.35 xN=sdtasdt0(xR,xS).
% 2.12/2.35 sdtlse_qdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)).
% 2.12/2.35 sdtlse_qdt0(sdtasdt0(xP,xP),xN).
% 2.12/2.35 sdtlse_qdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))).
% 2.12/2.35 sdtlse_qdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN),xN)).
% 2.12/2.35 sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),xN),sdtasdt0(xS,xS)),xN)=sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),xN),sdtpldt0(sdtasdt0(xS,xS),xN)).
% 2.12/2.35 -sdtlse_qdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,xS)),sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS)))).
% 2.12/2.35 end_of_list.
% 2.12/2.35
% 2.12/2.35 -------> usable clausifies to:
% 2.12/2.35
% 2.12/2.35 list(usable).
% 2.12/2.35 0 [] A=A.
% 2.12/2.35 0 [] -aNaturalNumber0(W0)|$T.
% 2.12/2.35 0 [] aNaturalNumber0(sz00).
% 2.12/2.35 0 [] -aNaturalNumber0(W0)|aNaturalNumber0(szszuzczcdt0(W0)).
% 2.12/2.35 0 [] -aNaturalNumber0(W0)|szszuzczcdt0(W0)!=sz00.
% 2.12/2.35 0 [] -aNaturalNumber0(W0)|W0=sz00|aNaturalNumber0($f1(W0)).
% 2.12/2.35 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=szszuzczcdt0($f1(W0)).
% 2.12/2.35 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|szszuzczcdt0(W0)!=szszuzczcdt0(W1)|W0=W1.
% 2.12/2.35 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -iLess0(W0,W1)|$T.
% 2.12/2.35 0 [] -aNaturalNumber0(W0)|iLess0(W0,szszuzczcdt0(W0)).
% 2.12/2.35 0 [] -aScalar0(W0)|$T.
% 2.12/2.35 0 [] aScalar0(sz0z00).
% 2.12/2.35 0 [] -aScalar0(W0)| -aScalar0(W1)|aScalar0(sdtpldt0(W0,W1)).
% 2.12/2.35 0 [] -aScalar0(W0)| -aScalar0(W1)|aScalar0(sdtasdt0(W0,W1)).
% 2.12/2.35 0 [] -aScalar0(W0)|aScalar0(smndt0(W0)).
% 2.12/2.35 0 [] -aScalar0(W0)|sdtpldt0(W0,sz0z00)=W0.
% 2.12/2.35 0 [] -aScalar0(W0)|sdtpldt0(sz0z00,W0)=W0.
% 2.12/2.35 0 [] -aScalar0(W0)|sdtasdt0(W0,sz0z00)=sz0z00.
% 2.12/2.35 0 [] -aScalar0(W0)|sdtasdt0(sz0z00,W0)=sz0z00.
% 2.12/2.35 0 [] -aScalar0(W0)|sdtpldt0(W0,smndt0(W0))=sz0z00.
% 2.12/2.35 0 [] -aScalar0(W0)|sdtpldt0(smndt0(W0),W0)=sz0z00.
% 2.12/2.35 0 [] -aScalar0(W0)|smndt0(smndt0(W0))=W0.
% 2.12/2.35 0 [] -aScalar0(W0)|smndt0(sz0z00)=sz0z00.
% 2.12/2.35 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)|sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2)).
% 2.12/2.35 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)|sdtpldt0(W0,W1)=sdtpldt0(W1,W0).
% 2.12/2.35 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)|sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2)).
% 2.12/2.35 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)|sdtasdt0(W0,W1)=sdtasdt0(W1,W0).
% 2.12/2.35 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)|sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)).
% 2.12/2.35 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)|sdtasdt0(sdtpldt0(W0,W1),W2)=sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2)).
% 2.12/2.35 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))).
% 2.12/2.35 0 [] -aScalar0(W0)| -aScalar0(W1)|sdtasdt0(W0,smndt0(W1))=smndt0(sdtasdt0(W0,W1)).
% 2.12/2.35 0 [] -aScalar0(W0)| -aScalar0(W1)|sdtasdt0(smndt0(W0),W1)=smndt0(sdtasdt0(W0,W1)).
% 2.12/2.35 0 [] -aScalar0(W0)| -aScalar0(W1)|sdtasdt0(smndt0(W0),smndt0(W1))=sdtasdt0(W0,W1).
% 2.12/2.35 0 [] -aScalar0(W0)| -aScalar0(W1)| -sdtlse_qdt0(W0,W1)|$T.
% 2.12/2.35 0 [] -aScalar0(W0)|sdtlse_qdt0(W0,W0).
% 2.12/2.35 0 [] -aScalar0(W0)| -aScalar0(W1)| -sdtlse_qdt0(W0,W1)| -sdtlse_qdt0(W1,W0)|W0=W1.
% 2.12/2.35 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)| -sdtlse_qdt0(W0,W1)| -sdtlse_qdt0(W1,W2)|sdtlse_qdt0(W0,W2).
% 2.12/2.35 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)| -aScalar0(W3)| -sdtlse_qdt0(W0,W1)| -sdtlse_qdt0(W2,W3)|sdtlse_qdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W3)).
% 2.12/2.35 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)| -aScalar0(W3)| -sdtlse_qdt0(W0,W1)| -sdtlse_qdt0(sz0z00,W2)| -sdtlse_qdt0(W2,W3)|sdtlse_qdt0(sdtasdt0(W0,W2),sdtasdt0(W1,W3)).
% 2.12/2.35 0 [] -aScalar0(W0)| -aScalar0(W1)|sdtlse_qdt0(W0,W1)|sdtlse_qdt0(W1,W0).
% 2.12/2.35 0 [] -aScalar0(W0)| -aScalar0(W1)| -sdtlse_qdt0(sz0z00,W0)| -sdtlse_qdt0(sz0z00,W1)|sdtlse_qdt0(sz0z00,sdtpldt0(W0,W1)).
% 2.12/2.35 0 [] -aScalar0(W0)| -aScalar0(W1)| -sdtlse_qdt0(sz0z00,W0)| -sdtlse_qdt0(sz0z00,W1)|sdtlse_qdt0(sz0z00,sdtasdt0(W0,W1)).
% 2.12/2.35 0 [] -aScalar0(W0)|sdtlse_qdt0(sz0z00,sdtasdt0(W0,W0)).
% 2.12/2.35 0 [] -aScalar0(W0)| -aScalar0(W1)| -sdtlse_qdt0(sz0z00,W0)| -sdtlse_qdt0(sz0z00,W1)|sdtasdt0(W0,W0)!=sdtasdt0(W1,W1)|W0=W1.
% 2.12/2.35 0 [] -aVector0(W0)|$T.
% 2.12/2.35 0 [] -aVector0(W0)|aNaturalNumber0(aDimensionOf0(W0)).
% 2.12/2.35 0 [] -aVector0(W0)| -aNaturalNumber0(W1)|aScalar0(sdtlbdtrb0(W0,W1)).
% 2.12/2.35 0 [] -aVector0(W0)|aDimensionOf0(W0)=sz00|W1!=sziznziztdt0(W0)|aVector0(W1).
% 2.12/2.35 0 [] -aVector0(W0)|aDimensionOf0(W0)=sz00|W1!=sziznziztdt0(W0)|szszuzczcdt0(aDimensionOf0(W1))=aDimensionOf0(W0).
% 2.12/2.35 0 [] -aVector0(W0)|aDimensionOf0(W0)=sz00|W1!=sziznziztdt0(W0)| -aNaturalNumber0(W2)|sdtlbdtrb0(W1,W2)=sdtlbdtrb0(W0,W2).
% 2.12/2.35 0 [] -aVector0(W0)|aDimensionOf0(W0)=sz00|W1=sziznziztdt0(W0)| -aVector0(W1)|szszuzczcdt0(aDimensionOf0(W1))!=aDimensionOf0(W0)|aNaturalNumber0($f2(W0,W1)).
% 2.12/2.35 0 [] -aVector0(W0)|aDimensionOf0(W0)=sz00|W1=sziznziztdt0(W0)| -aVector0(W1)|szszuzczcdt0(aDimensionOf0(W1))!=aDimensionOf0(W0)|sdtlbdtrb0(W1,$f2(W0,W1))!=sdtlbdtrb0(W0,$f2(W0,W1)).
% 2.12/2.35 0 [] -aVector0(W0)| -aVector0(W1)|aDimensionOf0(W0)!=aDimensionOf0(W1)|aDimensionOf0(W1)=sz00|aDimensionOf0(sziznziztdt0(W0))=aDimensionOf0(sziznziztdt0(W1)).
% 2.12/2.35 0 [] -aVector0(W0)| -aVector0(W1)|aDimensionOf0(W0)!=aDimensionOf0(W1)|aScalar0(sdtasasdt0(W0,W1)).
% 2.12/2.35 0 [] -aVector0(W0)| -aVector0(W1)|aDimensionOf0(W0)!=aDimensionOf0(W1)|aDimensionOf0(W1)!=sz00|sdtasasdt0(W0,W1)=sz0z00.
% 2.12/2.35 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)))).
% 2.12/2.35 0 [] -aVector0(W0)|sdtlse_qdt0(sz0z00,sdtasasdt0(W0,W0)).
% 2.12/2.35 0 [] aVector0(xs).
% 2.12/2.35 0 [] aVector0(xt).
% 2.12/2.35 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))).
% 2.12/2.35 0 [] aDimensionOf0(xs)=aDimensionOf0(xt).
% 2.12/2.35 0 [] aDimensionOf0(xs)!=sz00.
% 2.12/2.35 0 [] aVector0(xp).
% 2.12/2.35 0 [] xp=sziznziztdt0(xs).
% 2.12/2.35 0 [] aVector0(xq).
% 2.12/2.35 0 [] xq=sziznziztdt0(xt).
% 2.12/2.35 0 [] aScalar0(xA).
% 2.12/2.35 0 [] xA=sdtlbdtrb0(xs,aDimensionOf0(xs)).
% 2.12/2.35 0 [] aScalar0(xB).
% 2.12/2.35 0 [] xB=sdtlbdtrb0(xt,aDimensionOf0(xt)).
% 2.12/2.35 0 [] aScalar0(xC).
% 2.12/2.35 0 [] xC=sdtasasdt0(xp,xp).
% 2.12/2.35 0 [] aScalar0(xD).
% 2.12/2.35 0 [] xD=sdtasasdt0(xq,xq).
% 2.12/2.35 0 [] aScalar0(xE).
% 2.12/2.35 0 [] xE=sdtasasdt0(xp,xq).
% 2.12/2.35 0 [] aScalar0(xF).
% 2.12/2.35 0 [] xF=sdtasdt0(xA,xA).
% 2.12/2.35 0 [] aScalar0(xG).
% 2.12/2.35 0 [] xG=sdtasdt0(xB,xB).
% 2.12/2.35 0 [] aScalar0(xH).
% 2.12/2.35 0 [] xH=sdtasdt0(xA,xB).
% 2.12/2.35 0 [] aScalar0(xR).
% 2.12/2.35 0 [] xR=sdtasdt0(xC,xG).
% 2.12/2.35 0 [] aScalar0(xP).
% 2.12/2.35 0 [] xP=sdtasdt0(xE,xH).
% 2.12/2.35 0 [] aScalar0(xS).
% 2.12/2.35 0 [] xS=sdtasdt0(xF,xD).
% 2.12/2.35 0 [] aScalar0(xN).
% 2.12/2.35 0 [] xN=sdtasdt0(xR,xS).
% 2.12/2.35 0 [] sdtlse_qdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)).
% 2.12/2.35 0 [] sdtlse_qdt0(sdtasdt0(xP,xP),xN).
% 2.12/2.35 0 [] sdtlse_qdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))).
% 2.12/2.35 0 [] sdtlse_qdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN),xN)).
% 2.20/2.38 0 [] sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),xN),sdtasdt0(xS,xS)),xN)=sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),xN),sdtpldt0(sdtasdt0(xS,xS),xN)).
% 2.20/2.38 0 [] -sdtlse_qdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,xS)),sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS)))).
% 2.20/2.38 end_of_list.
% 2.20/2.38
% 2.20/2.38 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 2.20/2.38
% 2.20/2.38 This ia a non-Horn set with equality. The strategy will be
% 2.20/2.38 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.20/2.38 deletion, with positive clauses in sos and nonpositive
% 2.20/2.38 clauses in usable.
% 2.20/2.38
% 2.20/2.38 dependent: set(knuth_bendix).
% 2.20/2.38 dependent: set(anl_eq).
% 2.20/2.38 dependent: set(para_from).
% 2.20/2.38 dependent: set(para_into).
% 2.20/2.38 dependent: clear(para_from_right).
% 2.20/2.38 dependent: clear(para_into_right).
% 2.20/2.38 dependent: set(para_from_vars).
% 2.20/2.38 dependent: set(eq_units_both_ways).
% 2.20/2.38 dependent: set(dynamic_demod_all).
% 2.20/2.38 dependent: set(dynamic_demod).
% 2.20/2.38 dependent: set(order_eq).
% 2.20/2.38 dependent: set(back_demod).
% 2.20/2.38 dependent: set(lrpo).
% 2.20/2.38 dependent: set(hyper_res).
% 2.20/2.38 dependent: set(unit_deletion).
% 2.20/2.38 dependent: set(factor).
% 2.20/2.38
% 2.20/2.38 ------------> process usable:
% 2.20/2.38 ** KEPT (pick-wt=5): 1 [] -aNaturalNumber0(A)|aNaturalNumber0(szszuzczcdt0(A)).
% 2.20/2.38 ** KEPT (pick-wt=6): 2 [] -aNaturalNumber0(A)|szszuzczcdt0(A)!=sz00.
% 2.20/2.38 ** KEPT (pick-wt=8): 3 [] -aNaturalNumber0(A)|A=sz00|aNaturalNumber0($f1(A)).
% 2.20/2.38 ** KEPT (pick-wt=10): 5 [copy,4,flip.3] -aNaturalNumber0(A)|A=sz00|szszuzczcdt0($f1(A))=A.
% 2.20/2.38 ** KEPT (pick-wt=12): 6 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|szszuzczcdt0(A)!=szszuzczcdt0(B)|A=B.
% 2.20/2.38 ** KEPT (pick-wt=6): 7 [] -aNaturalNumber0(A)|iLess0(A,szszuzczcdt0(A)).
% 2.20/2.38 ** KEPT (pick-wt=8): 8 [] -aScalar0(A)| -aScalar0(B)|aScalar0(sdtpldt0(A,B)).
% 2.20/2.38 ** KEPT (pick-wt=8): 9 [] -aScalar0(A)| -aScalar0(B)|aScalar0(sdtasdt0(A,B)).
% 2.20/2.38 ** KEPT (pick-wt=5): 10 [] -aScalar0(A)|aScalar0(smndt0(A)).
% 2.20/2.38 ** KEPT (pick-wt=7): 11 [] -aScalar0(A)|sdtpldt0(A,sz0z00)=A.
% 2.20/2.38 ** KEPT (pick-wt=7): 12 [] -aScalar0(A)|sdtpldt0(sz0z00,A)=A.
% 2.20/2.38 ** KEPT (pick-wt=7): 13 [] -aScalar0(A)|sdtasdt0(A,sz0z00)=sz0z00.
% 2.20/2.38 ** KEPT (pick-wt=7): 14 [] -aScalar0(A)|sdtasdt0(sz0z00,A)=sz0z00.
% 2.20/2.38 ** KEPT (pick-wt=8): 15 [] -aScalar0(A)|sdtpldt0(A,smndt0(A))=sz0z00.
% 2.20/2.38 ** KEPT (pick-wt=8): 16 [] -aScalar0(A)|sdtpldt0(smndt0(A),A)=sz0z00.
% 2.20/2.38 ** KEPT (pick-wt=7): 17 [] -aScalar0(A)|smndt0(smndt0(A))=A.
% 2.20/2.38 ** KEPT (pick-wt=6): 18 [] -aScalar0(A)|smndt0(sz0z00)=sz0z00.
% 2.20/2.38 ** KEPT (pick-wt=17): 19 [] -aScalar0(A)| -aScalar0(B)| -aScalar0(C)|sdtpldt0(sdtpldt0(A,B),C)=sdtpldt0(A,sdtpldt0(B,C)).
% 2.20/2.38 ** KEPT (pick-wt=11): 21 [copy,20,factor_simp] -aScalar0(A)| -aScalar0(B)|sdtpldt0(A,B)=sdtpldt0(B,A).
% 2.20/2.38 ** KEPT (pick-wt=17): 22 [] -aScalar0(A)| -aScalar0(B)| -aScalar0(C)|sdtasdt0(sdtasdt0(A,B),C)=sdtasdt0(A,sdtasdt0(B,C)).
% 2.20/2.38 ** KEPT (pick-wt=11): 24 [copy,23,factor_simp] -aScalar0(A)| -aScalar0(B)|sdtasdt0(A,B)=sdtasdt0(B,A).
% 2.20/2.38 ** 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)).
% 2.20/2.38 ** 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).
% 2.20/2.38 ** 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)).
% 2.20/2.38 ** KEPT (pick-wt=13): 32 [copy,31,flip.3] -aScalar0(A)| -aScalar0(B)|smndt0(sdtasdt0(A,B))=sdtasdt0(A,smndt0(B)).
% 2.20/2.38 ** KEPT (pick-wt=13): 34 [copy,33,flip.3] -aScalar0(A)| -aScalar0(B)|smndt0(sdtasdt0(A,B))=sdtasdt0(smndt0(A),B).
% 2.20/2.38 ** KEPT (pick-wt=13): 35 [] -aScalar0(A)| -aScalar0(B)|sdtasdt0(smndt0(A),smndt0(B))=sdtasdt0(A,B).
% 2.20/2.38 ** KEPT (pick-wt=5): 36 [] -aScalar0(A)|sdtlse_qdt0(A,A).
% 2.20/2.38 ** KEPT (pick-wt=13): 37 [] -aScalar0(A)| -aScalar0(B)| -sdtlse_qdt0(A,B)| -sdtlse_qdt0(B,A)|A=B.
% 2.20/2.38 ** KEPT (pick-wt=15): 38 [] -aScalar0(A)| -aScalar0(B)| -aScalar0(C)| -sdtlse_qdt0(A,B)| -sdtlse_qdt0(B,C)|sdtlse_qdt0(A,C).
% 2.20/2.38 ** 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)).
% 2.20/2.38 ** 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)).
% 2.20/2.38 ** KEPT (pick-wt=10): 41 [] -aScalar0(A)| -aScalar0(B)|sdtlse_qdt0(A,B)|sdtlse_qdt0(B,A).
% 2.20/2.38 ** KEPT (pick-wt=15): 42 [] -aScalar0(A)| -aScalar0(B)| -sdtlse_qdt0(sz0z00,A)| -sdtlse_qdt0(sz0z00,B)|sdtlse_qdt0(sz0z00,sdtpldt0(A,B)).
% 2.20/2.38 ** KEPT (pick-wt=15): 43 [] -aScalar0(A)| -aScalar0(B)| -sdtlse_qdt0(sz0z00,A)| -sdtlse_qdt0(sz0z00,B)|sdtlse_qdt0(sz0z00,sdtasdt0(A,B)).
% 2.20/2.38 ** KEPT (pick-wt=7): 44 [] -aScalar0(A)|sdtlse_qdt0(sz0z00,sdtasdt0(A,A)).
% 2.20/2.38 ** 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.
% 2.20/2.38 ** KEPT (pick-wt=5): 46 [] -aVector0(A)|aNaturalNumber0(aDimensionOf0(A)).
% 2.20/2.38 ** KEPT (pick-wt=8): 47 [] -aVector0(A)| -aNaturalNumber0(B)|aScalar0(sdtlbdtrb0(A,B)).
% 2.20/2.38 ** KEPT (pick-wt=12): 48 [] -aVector0(A)|aDimensionOf0(A)=sz00|B!=sziznziztdt0(A)|aVector0(B).
% 2.20/2.38 ** KEPT (pick-wt=16): 49 [] -aVector0(A)|aDimensionOf0(A)=sz00|B!=sziznziztdt0(A)|szszuzczcdt0(aDimensionOf0(B))=aDimensionOf0(A).
% 2.20/2.38 ** KEPT (pick-wt=19): 50 [] -aVector0(A)|aDimensionOf0(A)=sz00|B!=sziznziztdt0(A)| -aNaturalNumber0(C)|sdtlbdtrb0(B,C)=sdtlbdtrb0(A,C).
% 2.20/2.38 ** KEPT (pick-wt=22): 51 [] -aVector0(A)|aDimensionOf0(A)=sz00|B=sziznziztdt0(A)| -aVector0(B)|szszuzczcdt0(aDimensionOf0(B))!=aDimensionOf0(A)|aNaturalNumber0($f2(A,B)).
% 2.20/2.38 ** 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)).
% 2.20/2.38 ** KEPT (pick-wt=20): 53 [] -aVector0(A)| -aVector0(B)|aDimensionOf0(A)!=aDimensionOf0(B)|aDimensionOf0(B)=sz00|aDimensionOf0(sziznziztdt0(A))=aDimensionOf0(sziznziztdt0(B)).
% 2.20/2.38 ** KEPT (pick-wt=13): 54 [] -aVector0(A)| -aVector0(B)|aDimensionOf0(A)!=aDimensionOf0(B)|aScalar0(sdtasasdt0(A,B)).
% 2.20/2.38 ** KEPT (pick-wt=18): 55 [] -aVector0(A)| -aVector0(B)|aDimensionOf0(A)!=aDimensionOf0(B)|aDimensionOf0(B)!=sz00|sdtasasdt0(A,B)=sz0z00.
% 2.20/2.38 ** 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).
% 2.20/2.38 ** KEPT (pick-wt=7): 58 [] -aVector0(A)|sdtlse_qdt0(sz0z00,sdtasasdt0(A,A)).
% 2.20/2.38 ** 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))).
% 2.20/2.38 ** KEPT (pick-wt=4): 60 [] aDimensionOf0(xs)!=sz00.
% 2.20/2.38 ** KEPT (pick-wt=31): 61 [] -sdtlse_qdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,xS)),sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS)))).
% 2.20/2.38
% 2.20/2.38 ------------> process sos:
% 2.20/2.38 ** KEPT (pick-wt=3): 147 [] A=A.
% 2.20/2.38 ** KEPT (pick-wt=2): 148 [] aNaturalNumber0(sz00).
% 2.20/2.38 ** KEPT (pick-wt=2): 149 [] aScalar0(sz0z00).
% 2.20/2.38 ** KEPT (pick-wt=2): 150 [] aVector0(xs).
% 2.20/2.38 ** KEPT (pick-wt=2): 151 [] aVector0(xt).
% 2.20/2.38 ** KEPT (pick-wt=5): 153 [copy,152,flip.1] aDimensionOf0(xt)=aDimensionOf0(xs).
% 2.20/2.38 ---> New Demodulator: 154 [new_demod,153] aDimensionOf0(xt)=aDimensionOf0(xs).
% 2.20/2.38 ** KEPT (pick-wt=2): 155 [] aVector0(xp).
% 2.20/2.38 ** KEPT (pick-wt=4): 157 [copy,156,flip.1] sziznziztdt0(xs)=xp.
% 2.20/2.38 ---> New Demodulator: 158 [new_demod,157] sziznziztdt0(xs)=xp.
% 2.20/2.38 ** KEPT (pick-wt=2): 159 [] aVector0(xq).
% 2.20/2.38 ** KEPT (pick-wt=4): 161 [copy,160,flip.1] sziznziztdt0(xt)=xq.
% 2.20/2.38 ---> New Demodulator: 162 [new_demod,161] sziznziztdt0(xt)=xq.
% 2.20/2.38 ** KEPT (pick-wt=2): 163 [] aScalar0(xA).
% 2.20/2.38 ** KEPT (pick-wt=6): 165 [copy,164,flip.1] sdtlbdtrb0(xs,aDimensionOf0(xs))=xA.
% 2.20/2.38 ---> New Demodulator: 166 [new_demod,165] sdtlbdtrb0(xs,aDimensionOf0(xs))=xA.
% 2.20/2.38 ** KEPT (pick-wt=2): 167 [] aScalar0(xB).
% 2.20/2.38 ** KEPT (pick-wt=6): 169 [copy,168,demod,154,flip.1] sAlarm clock
% 299.89/300.05 Otter interrupted
% 299.89/300.05 PROOF NOT FOUND
%------------------------------------------------------------------------------