TSTP Solution File: RNG109+4 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : RNG109+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 : 600s
% DateTime : Mon Jul 18 20:41:30 EDT 2022
% Result : Theorem 3.42s 3.61s
% Output : Refutation 3.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG109+4 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n024.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 : 600
% 0.12/0.33 % DateTime : Mon May 30 17:23:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.42/3.61
% 3.42/3.61 SPASS V 3.9
% 3.42/3.61 SPASS beiseite: Proof found.
% 3.42/3.61 % SZS status Theorem
% 3.42/3.61 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.42/3.61 SPASS derived 13394 clauses, backtracked 2725 clauses, performed 27 splits and kept 5850 clauses.
% 3.42/3.61 SPASS allocated 110181 KBytes.
% 3.42/3.61 SPASS spent 0:00:03.26 on the problem.
% 3.42/3.61 0:00:00.04 for the input.
% 3.42/3.61 0:00:00.16 for the FLOTTER CNF translation.
% 3.42/3.61 0:00:00.14 for inferences.
% 3.42/3.61 0:00:00.11 for the backtracking.
% 3.42/3.61 0:00:02.73 for the reduction.
% 3.42/3.61
% 3.42/3.61
% 3.42/3.61 Here is a proof with depth 8, length 385 :
% 3.42/3.61 % SZS output start Refutation
% 3.42/3.61 1[0:Inp] || -> aElement0(sz00)*.
% 3.42/3.61 2[0:Inp] || -> aElement0(sz10)*.
% 3.42/3.61 3[0:Inp] || -> aElement0(xa)*.
% 3.42/3.61 4[0:Inp] || -> aElement0(xb)*.
% 3.42/3.61 5[0:Inp] || -> aElement0(skc42)*.
% 3.42/3.61 6[0:Inp] || -> aElement0(skc41)*.
% 3.42/3.61 7[0:Inp] || -> aElement0(xc)*.
% 3.42/3.61 8[0:Inp] || -> aSet0(xI)*.
% 3.42/3.61 9[0:Inp] || -> aIdeal0(xI)*.
% 3.42/3.61 10[0:Inp] || -> aElement0(skc47)*.
% 3.42/3.61 11[0:Inp] || -> aElement0(skc46)*.
% 3.42/3.61 12[0:Inp] || -> aElement0(skc45)*.
% 3.42/3.61 13[0:Inp] || -> aElement0(skc44)*.
% 3.42/3.61 14[0:Inp] || -> aElement0(skf25(u))*.
% 3.42/3.61 15[0:Inp] || -> aElement0(skf24(u))*.
% 3.42/3.61 17[0:Inp] || -> aElement0(skf44(u))*.
% 3.42/3.61 19[0:Inp] || -> aDivisorOf0(xc,xa)*.
% 3.42/3.61 22[0:Inp] || -> aElement0(skf46(u))*.
% 3.42/3.61 23[0:Inp] || -> aElement0(skf45(u))*.
% 3.42/3.61 24[0:Inp] || equal(sz00,sz10)** -> .
% 3.42/3.61 31[0:Inp] || -> aElementOf0(sz00,slsdtgt0(xa))*.
% 3.42/3.61 32[0:Inp] || -> aElementOf0(xa,slsdtgt0(xa))*.
% 3.42/3.61 33[0:Inp] || -> aElementOf0(sz00,slsdtgt0(xb))*.
% 3.42/3.61 34[0:Inp] || -> aElementOf0(xb,slsdtgt0(xb))*.
% 3.42/3.61 35[0:Inp] aIdeal0(u) || -> aSet0(u)*.
% 3.42/3.61 36[0:Inp] || -> equal(sdtasdt0(xc,skc41),xa)**.
% 3.42/3.61 37[0:Inp] || -> equal(sdtasdt0(xc,skc42),xb)**.
% 3.42/3.61 38[0:Inp] || -> aElementOf0(skf48(u),slsdtgt0(xa))*.
% 3.42/3.61 40[0:Inp] || -> equal(sdtasdt0(xa,skc44),sz00)**.
% 3.42/3.61 41[0:Inp] || -> equal(sdtasdt0(xa,skc45),xa)**.
% 3.42/3.61 42[0:Inp] || -> equal(sdtasdt0(xb,skc46),sz00)**.
% 3.42/3.61 43[0:Inp] || -> equal(sdtasdt0(xb,skc47),xb)**.
% 3.42/3.61 44[0:Inp] aElement0(u) || -> aElement0(smndt0(u))*.
% 3.42/3.61 46[0:Inp] aElement0(u) || -> aIdeal0(slsdtgt0(u))*.
% 3.42/3.61 48[0:Inp] || aDivisorOf0(u,xa) -> SkP4(u)*.
% 3.42/3.61 49[0:Inp] || -> equal(sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),xI)**.
% 3.42/3.61 50[0:Inp] aElement0(u) || -> equal(sdtpldt0(u,sz00),u)**.
% 3.42/3.61 51[0:Inp] aElement0(u) || -> equal(sdtpldt0(sz00,u),u)**.
% 3.42/3.61 52[0:Inp] aElement0(u) || -> equal(sdtasdt0(u,sz10),u)**.
% 3.42/3.61 53[0:Inp] aElement0(u) || -> equal(sdtasdt0(sz10,u),u)**.
% 3.42/3.61 54[0:Inp] aElement0(u) || -> equal(sdtasdt0(u,sz00),sz00)**.
% 3.42/3.61 55[0:Inp] aElement0(u) || -> equal(sdtasdt0(sz00,u),sz00)**.
% 3.42/3.61 56[0:Inp] || -> SkP0(u,v) aElementOf0(skf26(u,v),v)*.
% 3.42/3.61 57[0:Inp] || equal(sz00,xb)** equal(sz00,xa) -> .
% 3.42/3.61 60[0:Inp] aSet0(u) || aElementOf0(v,u)* -> aElement0(v).
% 3.42/3.61 61[0:Inp] || aElementOf0(skf26(u,v),u)*+ -> SkP0(u,w)*.
% 3.42/3.61 65[0:Inp] SkP3(u) || -> equal(sdtasdt0(u,skf44(u)),xc)**.
% 3.42/3.61 69[0:Inp] aElement0(u) aElement0(v) || -> aElement0(sdtpldt0(v,u))*.
% 3.42/3.61 70[0:Inp] aElement0(u) aElement0(v) || -> aElement0(sdtasdt0(v,u))*.
% 3.42/3.61 72[0:Inp] aElement0(u) || -> equal(sdtasdt0(u,smndt0(sz10)),smndt0(u))**.
% 3.42/3.61 76[0:Inp] aElement0(u) || equal(v,slsdtgt0(u))*+ -> aSet0(v)*.
% 3.42/3.61 77[0:Inp] || aElementOf0(u,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))* -> equal(u,sz00).
% 3.42/3.61 81[0:Inp] || aElementOf0(u,slsdtgt0(xa)) -> equal(sdtasdt0(xa,skf45(u)),u)**.
% 3.42/3.61 82[0:Inp] || aElementOf0(u,slsdtgt0(xb)) -> equal(sdtasdt0(xb,skf46(u)),u)**.
% 3.42/3.61 85[0:Inp] aElement0(u) || aElementOf0(v,xI) -> aElementOf0(sdtasdt0(u,v),xI)*.
% 3.42/3.61 87[0:Inp] aElement0(u) aElement0(v) || -> equal(sdtasdt0(v,u),sdtasdt0(u,v))*.
% 3.42/3.61 91[0:Inp] aElement0(u) || equal(sdtasdt0(xa,u),v)*+ -> aElementOf0(v,slsdtgt0(xa))*.
% 3.42/3.61 92[0:Inp] aElement0(u) || equal(sdtasdt0(xb,u),v)*+ -> aElementOf0(v,slsdtgt0(xb))*.
% 3.42/3.61 93[0:Inp] || aElementOf0(u,slsdtgt0(xa)) -> equal(sdtasdt0(xa,skf24(u)),u)** equal(v,sz00)*.
% 3.42/3.61 94[0:Inp] || aElementOf0(u,slsdtgt0(xb)) -> equal(sdtasdt0(xb,skf25(u)),u)** equal(v,sz00)*.
% 3.42/3.61 101[0:Inp] SkP4(u) aElement0(v) || equal(sdtasdt0(u,v),xb)** -> SkP3(u).
% 3.42/3.61 102[0:Inp] aElement0(u) aElement0(v) || equal(sdtasdt0(u,v),xa)** -> SkP4(u).
% 3.42/3.61 108[0:Inp] aSet0(u) aSet0(v) || SkP0(u,v)*+ SkP0(v,u)* -> equal(v,u).
% 3.42/3.61 111[0:Inp] aElement0(u) aElement0(v) || equal(sdtasdt0(v,u),sz00)** -> equal(u,sz00) equal(v,sz00).
% 3.42/3.61 114[0:Inp] || aElementOf0(u,slsdtgt0(xb)) aElementOf0(v,slsdtgt0(xa)) equal(sdtpldt0(v,u),w)* -> equal(w,sz00).
% 3.42/3.61 118[0:Inp] || aElementOf0(u,slsdtgt0(xb)) aElementOf0(v,slsdtgt0(xa)) equal(sdtpldt0(v,u),w)*+ -> aElementOf0(w,xI)*.
% 3.42/3.61 125[0:Inp] aElement0(u) aElement0(v) aElement0(w) || -> equal(sdtasdt0(sdtasdt0(w,v),u),sdtasdt0(w,sdtasdt0(v,u)))**.
% 3.42/3.61 129[0:Inp] aElement0(u) aElement0(v) aElement0(w) || -> equal(sdtasdt0(sdtpldt0(v,u),w),sdtpldt0(sdtasdt0(v,w),sdtasdt0(u,w)))**.
% 3.42/3.61 144[0:Rew:49.0,77.0] || aElementOf0(u,xI)* -> equal(u,sz00).
% 3.42/3.61 145[0:AED:24.0,94.2] || aElementOf0(u,slsdtgt0(xb)) -> equal(sdtasdt0(xb,skf25(u)),u)**.
% 3.42/3.61 146[0:AED:24.0,93.2] || aElementOf0(u,slsdtgt0(xa)) -> equal(sdtasdt0(xa,skf24(u)),u)**.
% 3.42/3.61 325[0:Res:33.0,145.0] || -> equal(sdtasdt0(xb,skf25(sz00)),sz00)**.
% 3.42/3.61 327[0:Res:32.0,146.0] || -> equal(sdtasdt0(xa,skf24(xa)),xa)**.
% 3.42/3.61 328[0:Res:31.0,146.0] || -> equal(sdtasdt0(xa,skf24(sz00)),sz00)**.
% 3.42/3.61 435[0:Res:56.1,144.0] || -> SkP0(u,xI) equal(skf26(u,xI),sz00)**.
% 3.42/3.61 436[0:SpR:435.1,56.1] || -> SkP0(u,xI)* SkP0(u,xI)* aElementOf0(sz00,xI).
% 3.42/3.61 438[0:Obv:436.0] || -> SkP0(u,xI)* aElementOf0(sz00,xI).
% 3.42/3.61 467[0:Res:38.0,60.1] aSet0(slsdtgt0(xa)) || -> aElement0(skf48(u))*.
% 3.42/3.61 471[0:SSi:467.0,35.0,46.1,3.1] || -> aElement0(skf48(u))*.
% 3.42/3.61 530[0:EqR:76.1] aElement0(u) || -> aSet0(slsdtgt0(u))*.
% 3.42/3.61 542[0:SpR:82.1,70.2] aElement0(skf46(u)) aElement0(xb) || aElementOf0(u,slsdtgt0(xb))* -> aElement0(u).
% 3.42/3.61 543[0:SSi:542.1,542.0,4.0,22.0] || aElementOf0(u,slsdtgt0(xb))* -> aElement0(u).
% 3.42/3.61 550[0:SpR:81.1,70.2] aElement0(skf45(u)) aElement0(xa) || aElementOf0(u,slsdtgt0(xa))* -> aElement0(u).
% 3.42/3.61 551[0:SSi:550.1,550.0,3.0,23.0] || aElementOf0(u,slsdtgt0(xa))* -> aElement0(u).
% 3.42/3.61 617[0:Res:85.2,144.0] aElement0(u) || aElementOf0(v,xI) -> equal(sdtasdt0(u,v),sz00)**.
% 3.42/3.61 629[0:Rew:617.2,85.2] aElement0(u) || aElementOf0(v,xI)* -> aElementOf0(sz00,xI)*.
% 3.42/3.61 656[0:EmS:629.0,471.0] || aElementOf0(u,xI)* -> aElementOf0(sz00,xI)*.
% 3.42/3.61 717[0:SpL:43.0,92.1] aElement0(skc47) || equal(xb,u) -> aElementOf0(u,slsdtgt0(xb))*.
% 3.42/3.61 725[0:SpL:72.1,92.1] aElement0(xb) aElement0(smndt0(sz10)) || equal(smndt0(xb),u) -> aElementOf0(u,slsdtgt0(xb))*.
% 3.42/3.61 727[0:SSi:717.0,10.0] || equal(xb,u) -> aElementOf0(u,slsdtgt0(xb))*.
% 3.42/3.61 729[0:SSi:725.1,725.0,44.0,2.0,4.1] || equal(smndt0(xb),u) -> aElementOf0(u,slsdtgt0(xb))*.
% 3.42/3.61 734[0:Res:727.1,543.0] || equal(xb,u) -> aElement0(u)*.
% 3.42/3.61 736[0:Res:727.1,61.0] || equal(skf26(slsdtgt0(xb),u),xb)**+ -> SkP0(slsdtgt0(xb),v)*.
% 3.42/3.61 737[0:EqR:91.1] aElement0(u) || -> aElementOf0(sdtasdt0(xa,u),slsdtgt0(xa))*.
% 3.42/3.61 739[0:SpL:41.0,91.1] aElement0(skc45) || equal(xa,u) -> aElementOf0(u,slsdtgt0(xa))*.
% 3.42/3.61 749[0:SSi:739.0,12.0] || equal(xa,u) -> aElementOf0(u,slsdtgt0(xa))*.
% 3.42/3.61 756[0:Res:749.1,551.0] || equal(xa,u) -> aElement0(u)*.
% 3.42/3.61 758[0:Res:749.1,61.0] || equal(skf26(slsdtgt0(xa),u),xa)**+ -> SkP0(slsdtgt0(xa),v)*.
% 3.42/3.61 833[0:SpR:87.2,737.1] aElement0(u) aElement0(xa) aElement0(u) || -> aElementOf0(sdtasdt0(u,xa),slsdtgt0(xa))*.
% 3.42/3.61 871[0:Obv:833.0] aElement0(xa) aElement0(u) || -> aElementOf0(sdtasdt0(u,xa),slsdtgt0(xa))*.
% 3.42/3.61 872[0:SSi:871.0,3.0] aElement0(u) || -> aElementOf0(sdtasdt0(u,xa),slsdtgt0(xa))*.
% 3.42/3.61 1039[0:SpL:43.0,101.2] SkP4(xb) aElement0(skc47) || equal(xb,xb) -> SkP3(xb)*.
% 3.42/3.61 1044[0:SpL:40.0,101.2] SkP4(xa) aElement0(skc44) || equal(sz00,xb) -> SkP3(xa)*.
% 3.42/3.61 1048[0:SpL:146.1,101.2] SkP4(xa) aElement0(skf24(u)) || aElementOf0(u,slsdtgt0(xa))* equal(u,xb) -> SkP3(xa).
% 3.42/3.61 1050[0:SpL:37.0,101.2] SkP4(xc) aElement0(skc42) || equal(xb,xb) -> SkP3(xc)*.
% 3.42/3.61 1053[0:SpL:53.1,101.2] aElement0(u) SkP4(sz10) aElement0(u) || equal(u,xb)* -> SkP3(sz10)*.
% 3.42/3.61 1066[0:Obv:1039.2] SkP4(xb) aElement0(skc47) || -> SkP3(xb)*.
% 3.42/3.61 1067[0:SSi:1066.1,10.0] SkP4(xb) || -> SkP3(xb)*.
% 3.42/3.61 1068[0:SSi:1044.1,13.0] SkP4(xa) || equal(sz00,xb) -> SkP3(xa)*.
% 3.42/3.61 1070[0:Obv:1050.2] SkP4(xc) aElement0(skc42) || -> SkP3(xc)*.
% 3.42/3.61 1071[0:SSi:1070.1,5.0] SkP4(xc) || -> SkP3(xc)*.
% 3.42/3.61 1074[0:Obv:1053.0] SkP4(sz10) aElement0(u) || equal(u,xb)* -> SkP3(sz10)*.
% 3.42/3.61 1075[0:MRR:1074.1,734.1] SkP4(sz10) || equal(u,xb)* -> SkP3(sz10)*.
% 3.42/3.61 1084[0:SSi:1048.1,15.0] SkP4(xa) || aElementOf0(u,slsdtgt0(xa))* equal(u,xb) -> SkP3(xa).
% 3.42/3.61 1091[0:SoR:1071.0,48.1] || aDivisorOf0(xc,xa) -> SkP3(xc)*.
% 3.42/3.61 1093[0:MRR:1091.0,19.0] || -> SkP3(xc)*.
% 3.42/3.61 1099[0:SpL:145.1,102.2] aElement0(xb) aElement0(skf25(u)) || aElementOf0(u,slsdtgt0(xb))* equal(u,xa) -> SkP4(xb).
% 3.42/3.61 1102[0:SpL:41.0,102.2] aElement0(xa) aElement0(skc45) || equal(xa,xa) -> SkP4(xa)*.
% 3.42/3.61 1108[0:SpL:36.0,102.2] aElement0(xc) aElement0(skc41) || equal(xa,xa) -> SkP4(xc)*.
% 3.42/3.61 1110[0:SpL:53.1,102.2] aElement0(u) aElement0(sz10) aElement0(u) || equal(u,xa)* -> SkP4(sz10)*.
% 3.42/3.61 1125[0:Obv:1102.2] aElement0(xa) aElement0(skc45) || -> SkP4(xa)*.
% 3.42/3.61 1126[0:SSi:1125.1,1125.0,12.0,3.0] || -> SkP4(xa)*.
% 3.42/3.61 1129[0:MRR:1068.0,1126.0] || equal(sz00,xb) -> SkP3(xa)*.
% 3.42/3.61 1130[0:MRR:1084.0,1126.0] || aElementOf0(u,slsdtgt0(xa))* equal(u,xb) -> SkP3(xa).
% 3.42/3.61 1132[0:Obv:1108.2] aElement0(xc) aElement0(skc41) || -> SkP4(xc)*.
% 3.42/3.61 1133[0:SSi:1132.1,1132.0,6.0,7.0,1093.0] || -> SkP4(xc)*.
% 3.42/3.61 1138[0:Obv:1110.0] aElement0(sz10) aElement0(u) || equal(u,xa)* -> SkP4(sz10)*.
% 3.42/3.61 1139[0:SSi:1138.0,2.0] aElement0(u) || equal(u,xa)* -> SkP4(sz10)*.
% 3.42/3.61 1140[0:MRR:1139.0,756.1] || equal(u,xa)*+ -> SkP4(sz10)*.
% 3.42/3.61 1153[0:SSi:1099.1,1099.0,14.0,4.0] || aElementOf0(u,slsdtgt0(xb))* equal(u,xa) -> SkP4(xb).
% 3.42/3.61 1164[0:EqR:1140.0] || -> SkP4(sz10)*.
% 3.42/3.61 1167[0:MRR:1075.0,1164.0] || equal(u,xb)* -> SkP3(sz10)*.
% 3.42/3.61 1168[0:AED:24.0,1167.0] || -> SkP3(sz10)*.
% 3.42/3.61 1526[0:SpL:42.0,111.2] aElement0(skc46) aElement0(xb) || equal(sz00,sz00)* -> equal(sz00,skc46) equal(sz00,xb).
% 3.42/3.61 1528[0:SpL:325.0,111.2] aElement0(skf25(sz00)) aElement0(xb) || equal(sz00,sz00) -> equal(skf25(sz00),sz00)** equal(sz00,xb).
% 3.42/3.61 1533[0:SpL:40.0,111.2] aElement0(skc44) aElement0(xa) || equal(sz00,sz00)* -> equal(sz00,skc44) equal(sz00,xa).
% 3.42/3.61 1535[0:SpL:328.0,111.2] aElement0(skf24(sz00)) aElement0(xa) || equal(sz00,sz00) -> equal(skf24(sz00),sz00)** equal(sz00,xa).
% 3.42/3.61 1539[0:SpL:37.0,111.2] aElement0(skc42) aElement0(xc) || equal(sz00,xb)** -> equal(sz00,skc42) equal(sz00,xc).
% 3.42/3.61 1540[0:SpL:36.0,111.2] aElement0(skc41) aElement0(xc) || equal(sz00,xa)** -> equal(sz00,skc41) equal(sz00,xc).
% 3.42/3.61 1556[0:Obv:1526.2] aElement0(skc46) aElement0(xb) || -> equal(sz00,skc46)** equal(sz00,xb).
% 3.42/3.61 1557[0:SSi:1556.1,1556.0,4.0,11.0] || -> equal(sz00,skc46)** equal(sz00,xb).
% 3.42/3.61 1558[0:Obv:1533.2] aElement0(skc44) aElement0(xa) || -> equal(sz00,skc44)** equal(sz00,xa).
% 3.42/3.61 1559[0:SSi:1558.1,1558.0,3.0,1126.0,13.0] || -> equal(sz00,skc44)** equal(sz00,xa).
% 3.42/3.61 1560[0:SSi:1539.1,1539.0,7.0,1093.0,1133.0,5.0] || equal(sz00,xb)** -> equal(sz00,skc42) equal(sz00,xc).
% 3.42/3.61 1563[0:SSi:1540.1,1540.0,7.0,1093.0,1133.0,6.0] || equal(sz00,xa)** -> equal(sz00,skc41) equal(sz00,xc).
% 3.42/3.61 1566[0:Obv:1528.2] aElement0(skf25(sz00)) aElement0(xb) || -> equal(skf25(sz00),sz00)** equal(sz00,xb).
% 3.42/3.61 1567[0:Rew:1557.0,1566.2] aElement0(skf25(sz00)) aElement0(xb) || -> equal(skf25(skc46),skc46)** equal(sz00,xb).
% 3.42/3.61 1568[0:SSi:1567.1,1567.0,4.0,14.0,1.0] || -> equal(skf25(skc46),skc46)** equal(sz00,xb).
% 3.42/3.61 1569[0:Obv:1535.2] aElement0(skf24(sz00)) aElement0(xa) || -> equal(skf24(sz00),sz00)** equal(sz00,xa).
% 3.42/3.61 1570[0:Rew:1559.0,1569.2] aElement0(skf24(sz00)) aElement0(xa) || -> equal(skf24(skc44),skc44)** equal(sz00,xa).
% 3.42/3.61 1571[0:SSi:1570.1,1570.0,3.0,1126.0,15.0,1.0] || -> equal(skf24(skc44),skc44)** equal(sz00,xa).
% 3.42/3.61 1589[1:Spt:1557.0] || -> equal(sz00,skc46)**.
% 3.42/3.61 1591[1:Rew:1589.0,33.0] || -> aElementOf0(skc46,slsdtgt0(xb))*.
% 3.42/3.61 1605[1:Rew:1589.0,1129.0] || equal(skc46,xb) -> SkP3(xa)*.
% 3.42/3.61 1606[1:Rew:1589.0,57.0] || equal(skc46,xb) equal(sz00,xa)** -> .
% 3.42/3.61 1611[1:Rew:1589.0,55.1] aElement0(u) || -> equal(sdtasdt0(skc46,u),skc46)**.
% 3.42/3.61 1612[1:Rew:1589.0,54.1] aElement0(u) || -> equal(sdtasdt0(u,skc46),skc46)**.
% 3.42/3.61 1613[1:Rew:1589.0,51.1] aElement0(u) || -> equal(sdtpldt0(skc46,u),u)**.
% 3.42/3.61 1614[1:Rew:1589.0,50.1] aElement0(u) || -> equal(sdtpldt0(u,skc46),u)**.
% 3.42/3.61 1615[1:Rew:1589.0,435.1] || -> SkP0(u,xI) equal(skf26(u,xI),skc46)**.
% 3.42/3.61 1616[1:Rew:1589.0,656.1] || aElementOf0(u,xI)* -> aElementOf0(skc46,xI)*.
% 3.42/3.61 1617[1:Rew:1589.0,438.1] || -> SkP0(u,xI)* aElementOf0(skc46,xI).
% 3.42/3.61 1648[1:Rew:1589.0,114.3] || aElementOf0(u,slsdtgt0(xb)) aElementOf0(v,slsdtgt0(xa)) equal(sdtpldt0(v,u),w)* -> equal(w,skc46).
% 3.42/3.61 1655[1:Rew:1589.0,1568.1] || -> equal(skf25(skc46),skc46)** equal(skc46,xb).
% 3.42/3.61 1658[1:Rew:1589.0,1560.0] || equal(skc46,xb) -> equal(sz00,skc42)** equal(sz00,xc).
% 3.42/3.61 1662[1:Rew:1589.0,1571.1] || -> equal(skf24(skc44),skc44)** equal(skc46,xa).
% 3.42/3.61 1665[1:Rew:1589.0,1563.0] || equal(skc46,xa) -> equal(sz00,skc41)** equal(sz00,xc).
% 3.42/3.61 1666[1:Rew:1589.0,1559.1] || -> equal(sz00,skc44)** equal(skc46,xa).
% 3.42/3.61 1679[1:Rew:1589.0,1666.0] || -> equal(skc46,skc44)** equal(skc46,xa).
% 3.42/3.61 1683[1:Rew:1589.0,1606.1] || equal(skc46,xb)** equal(skc46,xa) -> .
% 3.42/3.61 1688[1:Rew:1589.0,1658.2,1589.0,1658.1] || equal(skc46,xb)** -> equal(skc46,skc42) equal(skc46,xc).
% 3.42/3.61 1689[1:Rew:1589.0,1665.2,1589.0,1665.1] || equal(skc46,xa)** -> equal(skc46,skc41) equal(skc46,xc).
% 3.42/3.61 1769[2:Spt:1679.0] || -> equal(skc46,skc44)**.
% 3.42/3.61 1772[2:Rew:1769.0,1591.0] || -> aElementOf0(skc44,slsdtgt0(xb))*.
% 3.42/3.61 1781[2:Rew:1769.0,1683.0] || equal(skc44,xb) equal(skc46,xa)** -> .
% 3.42/3.61 1782[2:Rew:1769.0,1605.0] || equal(skc44,xb) -> SkP3(xa)*.
% 3.42/3.61 1793[2:Rew:1769.0,1688.0] || equal(skc44,xb) -> equal(skc46,skc42)** equal(skc46,xc).
% 3.42/3.61 1797[2:Rew:1769.0,1655.1] || -> equal(skf25(skc46),skc46)** equal(skc44,xb).
% 3.42/3.61 1806[2:Rew:1769.0,1689.0] || equal(skc44,xa) -> equal(skc46,skc41)** equal(skc46,xc).
% 3.42/3.61 1809[2:Rew:1769.0,1662.1] || -> equal(skf24(skc44),skc44)** equal(skc44,xa).
% 3.42/3.61 1811[2:Rew:1769.0,1616.1] || aElementOf0(u,xI)* -> aElementOf0(skc44,xI)*.
% 3.42/3.61 1812[2:Rew:1769.0,1617.1] || -> SkP0(u,xI)* aElementOf0(skc44,xI).
% 3.42/3.61 1833[2:Rew:1769.0,1611.1] aElement0(u) || -> equal(sdtasdt0(skc44,u),skc44)**.
% 3.42/3.61 1834[2:Rew:1769.0,1612.1] aElement0(u) || -> equal(sdtasdt0(u,skc44),skc44)**.
% 3.42/3.61 1835[2:Rew:1769.0,1613.1] aElement0(u) || -> equal(sdtpldt0(skc44,u),u)**.
% 3.42/3.61 1837[2:Rew:1769.0,1614.1] aElement0(u) || -> equal(sdtpldt0(u,skc44),u)**.
% 3.42/3.61 1839[2:Rew:1769.0,1615.1] || -> SkP0(u,xI) equal(skf26(u,xI),skc44)**.
% 3.42/3.61 1855[2:Rew:1769.0,1648.3] || aElementOf0(u,slsdtgt0(xb)) aElementOf0(v,slsdtgt0(xa)) equal(sdtpldt0(v,u),w)* -> equal(w,skc44).
% 3.42/3.61 1858[2:Rew:1769.0,1797.0] || -> equal(skf25(skc44),skc44)** equal(skc44,xb).
% 3.42/3.61 1859[2:Rew:1769.0,1781.1] || equal(skc44,xb)** equal(skc44,xa) -> .
% 3.42/3.61 1860[2:Rew:1769.0,1793.2,1769.0,1793.1] || equal(skc44,xb)** -> equal(skc44,skc42) equal(skc44,xc).
% 3.42/3.61 1862[2:Rew:1769.0,1806.2,1769.0,1806.1] || equal(skc44,xa)** -> equal(skc44,skc41) equal(skc44,xc).
% 3.42/3.61 1945[3:Spt:1812.1] || -> aElementOf0(skc44,xI)*.
% 3.42/3.61 1949[4:Spt:1858.1] || -> equal(skc44,xb)**.
% 3.42/3.61 1962[4:Rew:1949.0,1859.0] || equal(xb,xb) equal(skc44,xa)** -> .
% 3.42/3.61 1963[4:Rew:1949.0,1782.0] || equal(xb,xb) -> SkP3(xa)*.
% 3.42/3.61 1967[4:Rew:1949.0,1945.0] || -> aElementOf0(xb,xI)*.
% 3.42/3.61 1975[4:Rew:1949.0,1860.0] || equal(xb,xb) -> equal(skc44,skc42)** equal(skc44,xc).
% 3.42/3.61 2007[4:Rew:1949.0,1833.1] aElement0(u) || -> equal(sdtasdt0(xb,u),xb)**.
% 3.42/3.61 2011[4:Rew:1949.0,1837.1] aElement0(u) || -> equal(sdtpldt0(u,xb),u)**.
% 3.42/3.61 2013[4:Rew:1949.0,1839.1] || -> SkP0(u,xI) equal(skf26(u,xI),xb)**.
% 3.42/3.61 2040[4:Obv:1963.0] || -> SkP3(xa)*.
% 3.42/3.61 2044[4:Obv:1962.0] || equal(skc44,xa)** -> .
% 3.42/3.61 2045[4:Rew:1949.0,2044.0] || equal(xb,xa)** -> .
% 3.42/3.61 2057[4:Obv:1975.0] || -> equal(skc44,skc42)** equal(skc44,xc).
% 3.42/3.61 2058[4:Rew:1949.0,2057.1,1949.0,2057.0] || -> equal(skc42,xb)** equal(xc,xb).
% 3.42/3.61 2160[5:Spt:2058.1] || -> equal(xc,xb)**.
% 3.42/3.61 2168[5:Rew:2160.0,36.0] || -> equal(sdtasdt0(xb,skc41),xa)**.
% 3.42/3.61 2255[4:SpR:2007.1,145.1] aElement0(skf25(u)) || aElementOf0(u,slsdtgt0(xb))* -> equal(xb,u).
% 3.42/3.61 2259[5:SpR:2007.1,2168.0] aElement0(skc41) || -> equal(xb,xa)**.
% 3.42/3.61 2273[5:SSi:2259.0,6.0] || -> equal(xb,xa)**.
% 3.42/3.61 2274[5:MRR:2273.0,2045.0] || -> .
% 3.42/3.61 2275[4:SSi:2255.0,14.0] || aElementOf0(u,slsdtgt0(xb))* -> equal(xb,u).
% 3.42/3.61 2281[5:Spt:2274.0,2058.1,2160.0] || equal(xc,xb)** -> .
% 3.42/3.61 2282[5:Spt:2274.0,2058.0] || -> equal(skc42,xb)**.
% 3.42/3.61 2491[4:Res:56.1,2275.0] || -> SkP0(u,slsdtgt0(xb)) equal(skf26(u,slsdtgt0(xb)),xb)**.
% 3.42/3.61 2591[4:SpR:65.1,2007.1] SkP3(xb) aElement0(skf44(xb)) || -> equal(xc,xb)**.
% 3.42/3.61 2599[4:SSi:2591.1,17.0,4.0] SkP3(xb) || -> equal(xc,xb)**.
% 3.42/3.61 2600[5:MRR:2599.1,2281.0] SkP3(xb) || -> .
% 3.42/3.61 2601[5:MRR:1067.1,2600.0] SkP4(xb) || -> .
% 3.42/3.61 2602[5:MRR:1153.2,2601.0] || aElementOf0(u,slsdtgt0(xb))* equal(u,xa) -> .
% 3.42/3.61 2684[4:SpL:2491.1,61.0] || aElementOf0(xb,u) -> SkP0(u,slsdtgt0(xb))* SkP0(u,v)*.
% 3.42/3.61 2685[4:Con:2684.2] || aElementOf0(xb,u) -> SkP0(u,slsdtgt0(xb))*.
% 3.42/3.61 2861[0:EqR:118.2] || aElementOf0(u,slsdtgt0(xb)) aElementOf0(v,slsdtgt0(xa)) -> aElementOf0(sdtpldt0(v,u),xI)*.
% 3.42/3.61 2866[4:SpL:2011.1,118.2] aElement0(u) || aElementOf0(xb,slsdtgt0(xb))* aElementOf0(u,slsdtgt0(xa))* equal(u,v)* -> aElementOf0(v,xI)*.
% 3.42/3.61 2873[4:MRR:2866.0,2866.1,551.1,34.0] || aElementOf0(u,slsdtgt0(xa))*+ equal(u,v)* -> aElementOf0(v,xI)*.
% 3.42/3.61 2947[4:SpL:2013.1,736.0] || equal(xb,xb) -> SkP0(slsdtgt0(xb),xI)* SkP0(slsdtgt0(xb),u)*.
% 3.42/3.61 2948[4:Obv:2947.0] || -> SkP0(slsdtgt0(xb),xI)* SkP0(slsdtgt0(xb),u)*.
% 3.42/3.61 2949[4:Con:2948.1] || -> SkP0(slsdtgt0(xb),xI)*.
% 3.42/3.61 2952[4:Res:2949.0,108.2] aSet0(slsdtgt0(xb)) aSet0(xI) || SkP0(xI,slsdtgt0(xb))* -> equal(slsdtgt0(xb),xI).
% 3.42/3.61 2953[4:SSi:2952.1,2952.0,9.0,8.1,46.0,4.1,530.0,4.0] || SkP0(xI,slsdtgt0(xb))* -> equal(slsdtgt0(xb),xI).
% 3.42/3.61 2954[4:Res:2685.1,2953.0] || aElementOf0(xb,xI) -> equal(slsdtgt0(xb),xI)**.
% 3.42/3.61 2955[4:MRR:2954.0,1967.0] || -> equal(slsdtgt0(xb),xI)**.
% 3.42/3.61 2958[5:Rew:2955.0,2602.0] || aElementOf0(u,xI)* equal(u,xa) -> .
% 3.42/3.61 3175[0:SpR:43.0,125.3] aElement0(u) aElement0(skc47) aElement0(xb) || -> equal(sdtasdt0(xb,sdtasdt0(skc47,u)),sdtasdt0(xb,u))**.
% 3.42/3.61 3180[0:SpR:41.0,125.3] aElement0(u) aElement0(skc45) aElement0(xa) || -> equal(sdtasdt0(xa,sdtasdt0(skc45,u)),sdtasdt0(xa,u))**.
% 3.42/3.61 3212[4:SSi:3180.2,3180.1,3.0,1126.0,2040.0,12.0] aElement0(u) || -> equal(sdtasdt0(xa,sdtasdt0(skc45,u)),sdtasdt0(xa,u))**.
% 3.42/3.61 3864[0:SpR:129.3,872.1] aElement0(u) aElement0(v) aElement0(xa) aElement0(sdtpldt0(v,u)) || -> aElementOf0(sdtpldt0(sdtasdt0(v,xa),sdtasdt0(u,xa)),slsdtgt0(xa))*.
% 3.42/3.61 4653[4:SpR:52.1,3212.1] aElement0(skc45) aElement0(sz10) || -> equal(sdtasdt0(xa,skc45),sdtasdt0(xa,sz10))**.
% 3.42/3.61 4668[4:Rew:41.0,4653.2] aElement0(skc45) aElement0(sz10) || -> equal(sdtasdt0(xa,sz10),xa)**.
% 3.42/3.61 4669[4:SSi:4668.1,4668.0,2.0,1164.0,1168.0,12.0] || -> equal(sdtasdt0(xa,sz10),xa)**.
% 3.42/3.61 5002[4:Res:32.0,2873.0] || equal(xa,u) -> aElementOf0(u,xI)*.
% 3.42/3.61 5024[5:MRR:5002.1,2958.0] || equal(xa,u)* -> .
% 3.42/3.61 5025[5:UnC:5024.0,4669.0] || -> .
% 3.42/3.61 5032[4:Spt:5025.0,1858.1,1949.0] || equal(skc44,xb)** -> .
% 3.42/3.61 5033[4:Spt:5025.0,1858.0] || -> equal(skf25(skc44),skc44)**.
% 3.42/3.61 5055[0:SSi:3175.2,3175.1,4.0,10.0] aElement0(u) || -> equal(sdtasdt0(xb,sdtasdt0(skc47,u)),sdtasdt0(xb,u))**.
% 3.42/3.61 5056[0:SSi:3180.2,3180.1,3.0,1126.0,12.0] aElement0(u) || -> equal(sdtasdt0(xa,sdtasdt0(skc45,u)),sdtasdt0(xa,u))**.
% 3.42/3.61 5068[0:SSi:3864.3,3864.2,69.0,3.0,1126.2] aElement0(u) aElement0(v) || -> aElementOf0(sdtpldt0(sdtasdt0(v,xa),sdtasdt0(u,xa)),slsdtgt0(xa))*.
% 3.42/3.61 5452[5:Spt:1809.1] || -> equal(skc44,xa)**.
% 3.42/3.61 5462[5:Rew:5452.0,1772.0] || -> aElementOf0(xa,slsdtgt0(xb))*.
% 3.42/3.61 5464[5:Rew:5452.0,5032.0] || equal(xb,xa)** -> .
% 3.42/3.61 5478[5:Rew:5452.0,1834.1] aElement0(u) || -> equal(sdtasdt0(u,xa),xa)**.
% 3.42/3.61 5483[5:Rew:5452.0,1833.1] aElement0(u) || -> equal(sdtasdt0(xa,u),xa)**.
% 3.42/3.61 5500[5:Rew:5452.0,1862.2] || equal(skc44,xa)** -> equal(skc44,skc41) equal(xc,xa).
% 3.42/3.61 5526[5:Rew:5452.0,1839.1] || -> SkP0(u,xI) equal(skf26(u,xI),xa)**.
% 3.42/3.61 5528[5:Rew:5452.0,1835.1] aElement0(u) || -> equal(sdtpldt0(xa,u),u)**.
% 3.42/3.61 5612[5:Rew:5478.1,5068.2] aElement0(u) aElement0(v) || -> aElementOf0(sdtpldt0(xa,sdtasdt0(u,xa)),slsdtgt0(xa))*.
% 3.42/3.61 5647[5:Rew:5452.0,5500.1,5452.0,5500.0] || equal(xa,xa) -> equal(skc41,xa)** equal(xc,xa).
% 3.42/3.61 5648[5:Obv:5647.0] || -> equal(skc41,xa)** equal(xc,xa).
% 3.42/3.61 5672[5:Con:5612.1] aElement0(u) || -> aElementOf0(sdtpldt0(xa,sdtasdt0(u,xa)),slsdtgt0(xa))*.
% 3.42/3.61 5673[5:Rew:5478.1,5672.1] aElement0(u) || -> aElementOf0(sdtpldt0(xa,xa),slsdtgt0(xa))*.
% 3.42/3.61 5880[6:Spt:5648.1] || -> equal(xc,xa)**.
% 3.42/3.61 5901[6:Rew:5880.0,37.0] || -> equal(sdtasdt0(xa,skc42),xb)**.
% 3.42/3.61 6033[5:SpR:5483.1,146.1] aElement0(skf24(u)) || aElementOf0(u,slsdtgt0(xa))* -> equal(xa,u).
% 3.42/3.61 6038[6:SpR:5483.1,5901.0] aElement0(skc42) || -> equal(xb,xa)**.
% 3.42/3.61 6059[6:SSi:6038.0,5.0] || -> equal(xb,xa)**.
% 3.42/3.61 6060[6:MRR:6059.0,5464.0] || -> .
% 3.42/3.61 6061[5:SSi:6033.0,15.0] || aElementOf0(u,slsdtgt0(xa))* -> equal(xa,u).
% 3.42/3.61 6077[6:Spt:6060.0,5648.1,5880.0] || equal(xc,xa)** -> .
% 3.42/3.61 6078[6:Spt:6060.0,5648.0] || -> equal(skc41,xa)**.
% 3.42/3.61 6397[5:SpR:65.1,5483.1] SkP3(xa) aElement0(skf44(xa)) || -> equal(xc,xa)**.
% 3.42/3.61 6410[5:SSi:6397.1,17.0,3.0,1126.0] SkP3(xa) || -> equal(xc,xa)**.
% 3.42/3.61 6411[6:MRR:6410.1,6077.0] SkP3(xa) || -> .
% 3.42/3.61 6412[6:MRR:1130.2,6411.0] || aElementOf0(u,slsdtgt0(xa))* equal(u,xb) -> .
% 3.42/3.61 6552[5:SpL:5526.1,758.0] || equal(xa,xa) -> SkP0(slsdtgt0(xa),xI)* SkP0(slsdtgt0(xa),u)*.
% 3.42/3.61 6556[5:Obv:6552.0] || -> SkP0(slsdtgt0(xa),xI)* SkP0(slsdtgt0(xa),u)*.
% 3.42/3.61 6557[5:Con:6556.1] || -> SkP0(slsdtgt0(xa),xI)*.
% 3.42/3.61 6558[5:Res:6557.0,108.2] aSet0(slsdtgt0(xa)) aSet0(xI) || SkP0(xI,slsdtgt0(xa))* -> equal(slsdtgt0(xa),xI).
% 3.42/3.61 6559[5:SSi:6558.1,6558.0,9.0,8.0,46.1,3.0,1126.0,530.1,3.0,1126.0] || SkP0(xI,slsdtgt0(xa))* -> equal(slsdtgt0(xa),xI).
% 3.42/3.61 6582[5:Res:56.1,6061.0] || -> SkP0(u,slsdtgt0(xa)) equal(skf26(u,slsdtgt0(xa)),xa)**.
% 3.42/3.61 6765[5:EmS:5673.0,7.0] || -> aElementOf0(sdtpldt0(xa,xa),slsdtgt0(xa))*.
% 3.42/3.61 6810[5:Res:6765.0,6061.0] || -> equal(sdtpldt0(xa,xa),xa)**.
% 3.42/3.61 6964[5:SpL:5528.1,118.2] aElement0(u) || aElementOf0(u,slsdtgt0(xb))* aElementOf0(xa,slsdtgt0(xa)) equal(u,v)* -> aElementOf0(v,xI)*.
% 3.42/3.61 6970[5:SpL:6810.0,118.2] || aElementOf0(xa,slsdtgt0(xb))* aElementOf0(xa,slsdtgt0(xa)) equal(xa,u) -> aElementOf0(u,xI)*.
% 3.42/3.61 6971[5:MRR:6970.0,6970.1,5462.0,32.0] || equal(xa,u) -> aElementOf0(u,xI)*.
% 3.42/3.61 6973[5:MRR:6964.0,6964.2,543.1,32.0] || aElementOf0(u,slsdtgt0(xb))*+ equal(u,v)* -> aElementOf0(v,xI)*.
% 3.42/3.61 6983[5:Res:6971.1,61.0] || equal(skf26(xI,u),xa)**+ -> SkP0(xI,v)*.
% 3.42/3.61 7266[5:SpL:6582.1,6983.0] || equal(xa,xa) -> SkP0(xI,slsdtgt0(xa))* SkP0(xI,u)*.
% 3.42/3.61 7268[5:Obv:7266.0] || -> SkP0(xI,slsdtgt0(xa))* SkP0(xI,u)*.
% 3.42/3.61 7269[5:Con:7268.1] || -> SkP0(xI,slsdtgt0(xa))*.
% 3.42/3.61 7270[5:MRR:6559.0,7269.0] || -> equal(slsdtgt0(xa),xI)**.
% 3.42/3.61 7274[6:Rew:7270.0,6412.0] || aElementOf0(u,xI)* equal(u,xb) -> .
% 3.42/3.61 7733[0:SpR:52.1,5055.1] aElement0(skc47) aElement0(sz10) || -> equal(sdtasdt0(xb,skc47),sdtasdt0(xb,sz10))**.
% 3.42/3.61 7747[0:Rew:43.0,7733.2] aElement0(skc47) aElement0(sz10) || -> equal(sdtasdt0(xb,sz10),xb)**.
% 3.42/3.61 7748[0:SSi:7747.1,7747.0,2.0,1164.0,1168.0,10.0] || -> equal(sdtasdt0(xb,sz10),xb)**.
% 3.42/3.61 8135[5:Res:34.0,6973.0] || equal(xb,u) -> aElementOf0(u,xI)*.
% 3.42/3.61 8157[6:MRR:8135.1,7274.0] || equal(xb,u)* -> .
% 3.42/3.61 8158[6:UnC:8157.0,7748.0] || -> .
% 3.42/3.61 8165[5:Spt:8158.0,1809.1,5452.0] || equal(skc44,xa)** -> .
% 3.42/3.61 8166[5:Spt:8158.0,1809.0] || -> equal(skf24(skc44),skc44)**.
% 3.42/3.61 9171[2:EqR:1855.2] || aElementOf0(u,slsdtgt0(xb)) aElementOf0(v,slsdtgt0(xa)) -> equal(sdtpldt0(v,u),skc44)**.
% 3.42/3.61 9177[2:SpL:1837.1,1855.2] aElement0(u) || aElementOf0(skc44,slsdtgt0(xb))* aElementOf0(u,slsdtgt0(xa))* equal(u,v)* -> equal(v,skc44)*.
% 3.42/3.61 9182[2:Rew:9171.2,2861.2] || aElementOf0(u,slsdtgt0(xb))* aElementOf0(v,slsdtgt0(xa))* -> aElementOf0(skc44,xI).
% 3.42/3.61 9185[2:MRR:9177.0,9177.1,551.1,1772.0] || aElementOf0(u,slsdtgt0(xa))*+ equal(u,v)* -> equal(v,skc44)*.
% 3.42/3.61 9740[0:SpR:72.1,5056.1] aElement0(skc45) aElement0(smndt0(sz10)) || -> equal(sdtasdt0(xa,smndt0(skc45)),sdtasdt0(xa,smndt0(sz10)))**.
% 3.42/3.61 9752[0:SSi:9740.1,9740.0,44.0,2.0,1164.0,1168.0,12.1] || -> equal(sdtasdt0(xa,smndt0(skc45)),sdtasdt0(xa,smndt0(sz10)))**.
% 3.42/3.61 10003[2:Res:32.0,9185.0] || equal(xa,u) -> equal(u,skc44)*.
% 3.42/3.61 10169[2:SpR:10003.1,41.0] || equal(sdtasdt0(xa,skc45),xa)** -> equal(skc44,xa).
% 3.42/3.61 10170[2:SpR:10003.1,327.0] || equal(sdtasdt0(xa,skf24(xa)),xa)** -> equal(skc44,xa).
% 3.42/3.61 10551[2:Rew:41.0,10169.0] || equal(xa,xa) -> equal(skc44,xa)**.
% 3.42/3.61 10552[2:Obv:10551.0] || -> equal(skc44,xa)**.
% 3.42/3.61 10573[2:Rew:327.0,10170.0] || equal(xa,xa) -> equal(skc44,xa)**.
% 3.42/3.61 10574[2:Obv:10573.0] || -> equal(skc44,xa)**.
% 3.42/3.61 10575[5:MRR:10574.0,8165.0] || -> .
% 3.42/3.61 10644[3:Spt:10575.0,1812.1,1945.0] || aElementOf0(skc44,xI)* -> .
% 3.42/3.61 10645[3:Spt:10575.0,1812.0] || -> SkP0(u,xI)*.
% 3.42/3.61 10994[3:Rew:10552.0,10644.0] || aElementOf0(xa,xI)* -> .
% 3.42/3.61 11054[2:Rew:10552.0,1811.1] || aElementOf0(u,xI)* -> aElementOf0(xa,xI)*.
% 3.42/3.61 11055[3:MRR:11054.1,10994.0] || aElementOf0(u,xI)* -> .
% 3.42/3.61 11225[2:Rew:10552.0,9182.2] || aElementOf0(u,slsdtgt0(xb))* aElementOf0(v,slsdtgt0(xa))* -> aElementOf0(xa,xI).
% 3.42/3.61 11226[3:MRR:11225.2,11055.0] || aElementOf0(u,slsdtgt0(xb))*+ aElementOf0(v,slsdtgt0(xa))* -> .
% 3.42/3.61 12580[3:Res:729.1,11226.0] || equal(smndt0(xb),u)* aElementOf0(v,slsdtgt0(xa))* -> .
% 3.42/3.61 12616[3:AED:24.0,12580.0] || aElementOf0(u,slsdtgt0(xa))* -> .
% 3.42/3.61 12617[3:UnC:12616.0,32.0] || -> .
% 3.42/3.61 12624[2:Spt:12617.0,1679.0,1769.0] || equal(skc46,skc44)** -> .
% 3.93/4.15 12625[2:Spt:12617.0,1679.1] || -> equal(skc46,xa)**.
% 3.93/4.15 12659[2:Rew:12625.0,1683.1,12625.0,1683.0] || equal(xb,xa)** equal(xa,xa) -> .
% 3.93/4.15 12660[2:Obv:12659.1] || equal(xb,xa)** -> .
% 3.93/4.15 12668[2:Rew:12625.0,1613.1] aElement0(u) || -> equal(sdtpldt0(xa,u),u)**.
% 3.93/4.15 12791[2:Rew:12625.0,1648.3] || aElementOf0(u,slsdtgt0(xb)) aElementOf0(v,slsdtgt0(xa)) equal(sdtpldt0(v,u),w)* -> equal(w,xa).
% 3.93/4.15 14128[2:SpL:12668.1,12791.2] aElement0(u) || aElementOf0(u,slsdtgt0(xb))* aElementOf0(xa,slsdtgt0(xa)) equal(u,v)* -> equal(v,xa)*.
% 3.93/4.15 14140[2:MRR:14128.0,14128.2,543.1,32.0] || aElementOf0(u,slsdtgt0(xb))*+ equal(u,v)* -> equal(v,xa)*.
% 3.93/4.15 15555[2:Res:34.0,14140.0] || equal(xb,u)* -> equal(u,xa).
% 3.93/4.15 15595[2:EqR:15555.0] || -> equal(xb,xa)**.
% 3.93/4.15 15596[2:MRR:15595.0,12660.0] || -> .
% 3.93/4.15 15597[1:Spt:15596.0,1557.0,1589.0] || equal(sz00,skc46)** -> .
% 3.93/4.15 15598[1:Spt:15596.0,1557.1] || -> equal(sz00,xb)**.
% 3.93/4.15 15644[1:Rew:15598.0,435.1] || -> SkP0(u,xI) equal(skf26(u,xI),xb)**.
% 3.93/4.15 15646[1:Rew:15598.0,50.1] aElement0(u) || -> equal(sdtpldt0(u,xb),u)**.
% 3.93/4.15 15658[1:Rew:15598.0,55.1] aElement0(u) || -> equal(sdtasdt0(xb,u),xb)**.
% 3.93/4.15 15687[1:Rew:15598.0,57.1,15598.0,57.0] || equal(xb,xb)* equal(xb,xa) -> .
% 3.93/4.15 15688[1:Obv:15687.0] || equal(xb,xa)** -> .
% 3.93/4.15 15714[1:Rew:15598.0,1560.2,15598.0,1560.1,15598.0,1560.0] || equal(xb,xb) -> equal(skc42,xb)** equal(xc,xb).
% 3.93/4.15 15715[1:Obv:15714.0] || -> equal(skc42,xb)** equal(xc,xb).
% 3.93/4.15 15802[1:Rew:15598.0,114.3] || aElementOf0(u,slsdtgt0(xb)) aElementOf0(v,slsdtgt0(xa)) equal(sdtpldt0(v,u),w)* -> equal(w,xb).
% 3.93/4.15 16004[2:Spt:15715.1] || -> equal(xc,xb)**.
% 3.93/4.15 16039[2:Rew:16004.0,36.0] || -> equal(sdtasdt0(xb,skc41),xa)**.
% 3.93/4.15 16281[1:SpR:15658.1,145.1] aElement0(skf25(u)) || aElementOf0(u,slsdtgt0(xb))* -> equal(xb,u).
% 3.93/4.15 16286[2:SpR:15658.1,16039.0] aElement0(skc41) || -> equal(xb,xa)**.
% 3.93/4.15 16308[2:SSi:16286.0,6.0] || -> equal(xb,xa)**.
% 3.93/4.15 16309[2:MRR:16308.0,15688.0] || -> .
% 3.93/4.15 16310[1:SSi:16281.0,14.0] || aElementOf0(u,slsdtgt0(xb))* -> equal(xb,u).
% 3.93/4.15 16334[2:Spt:16309.0,15715.1,16004.0] || equal(xc,xb)** -> .
% 3.93/4.15 16335[2:Spt:16309.0,15715.0] || -> equal(skc42,xb)**.
% 3.93/4.15 16640[1:SpR:65.1,15658.1] SkP3(xb) aElement0(skf44(xb)) || -> equal(xc,xb)**.
% 3.93/4.15 16653[1:SSi:16640.1,17.0,4.0] SkP3(xb) || -> equal(xc,xb)**.
% 3.93/4.15 16654[2:MRR:16653.1,16334.0] SkP3(xb) || -> .
% 3.93/4.15 16655[2:MRR:1067.1,16654.0] SkP4(xb) || -> .
% 3.93/4.15 16658[2:MRR:1153.2,16655.0] || aElementOf0(u,slsdtgt0(xb))* equal(u,xa) -> .
% 3.93/4.15 16867[1:SpL:15644.1,736.0] || equal(xb,xb) -> SkP0(slsdtgt0(xb),xI)* SkP0(slsdtgt0(xb),u)*.
% 3.93/4.15 16871[1:Obv:16867.0] || -> SkP0(slsdtgt0(xb),xI)* SkP0(slsdtgt0(xb),u)*.
% 3.93/4.15 16872[1:Con:16871.1] || -> SkP0(slsdtgt0(xb),xI)*.
% 3.93/4.15 16873[1:Res:16872.0,108.2] aSet0(slsdtgt0(xb)) aSet0(xI) || SkP0(xI,slsdtgt0(xb))* -> equal(slsdtgt0(xb),xI).
% 3.93/4.15 16874[1:SSi:16873.1,16873.0,9.0,8.1,46.0,4.1,530.0,4.0] || SkP0(xI,slsdtgt0(xb))* -> equal(slsdtgt0(xb),xI).
% 3.93/4.15 16988[1:Res:56.1,16310.0] || -> SkP0(u,slsdtgt0(xb)) equal(skf26(u,slsdtgt0(xb)),xb)**.
% 3.93/4.15 17381[1:SpL:15646.1,118.2] aElement0(u) || aElementOf0(xb,slsdtgt0(xb))* aElementOf0(u,slsdtgt0(xa))* equal(u,v)* -> aElementOf0(v,xI)*.
% 3.93/4.15 17384[1:MRR:17381.0,17381.1,551.1,34.0] || aElementOf0(u,slsdtgt0(xa))*+ equal(u,v)* -> aElementOf0(v,xI)*.
% 3.93/4.15 17409[1:EqR:15802.2] || aElementOf0(u,slsdtgt0(xb)) aElementOf0(v,slsdtgt0(xa)) -> equal(sdtpldt0(v,u),xb)**.
% 3.93/4.15 17420[1:Rew:17409.2,118.2] || aElementOf0(u,slsdtgt0(xb))*+ aElementOf0(v,slsdtgt0(xa))* equal(xb,w) -> aElementOf0(w,xI)*.
% 3.93/4.15 17463[3:Spt:17420.2,17420.3] || equal(xb,u) -> aElementOf0(u,xI)*.
% 3.93/4.15 17465[3:Res:17463.1,61.0] || equal(skf26(xI,u),xb)**+ -> SkP0(xI,v)*.
% 3.93/4.15 17574[0:SpR:9752.0,737.1] aElement0(smndt0(skc45)) || -> aElementOf0(sdtasdt0(xa,smndt0(sz10)),slsdtgt0(xa))*.
% 3.93/4.15 17588[0:SSi:17574.0,44.0,12.1] || -> aElementOf0(sdtasdt0(xa,smndt0(sz10)),slsdtgt0(xa))*.
% 3.93/4.15 18305[3:SpL:16988.1,17465.0] || equal(xb,xb) -> SkP0(xI,slsdtgt0(xb))* SkP0(xI,u)*.
% 3.93/4.15 18307[3:Obv:18305.0] || -> SkP0(xI,slsdtgt0(xb))* SkP0(xI,u)*.
% 3.93/4.15 18308[3:Con:18307.1] || -> SkP0(xI,slsdtgt0(xb))*.
% 3.93/4.15 18309[3:MRR:16874.0,18308.0] || -> equal(slsdtgt0(xb),xI)**.
% 3.93/4.15 18311[3:Rew:18309.0,16658.0] || aElementOf0(u,xI)* equal(u,xa) -> .
% 3.93/4.15 19182[1:Res:32.0,17384.0] || equal(xa,u) -> aElementOf0(u,xI)*.
% 3.93/4.15 19203[3:MRR:19182.1,18311.0] || equal(xa,u)* -> .
% 3.93/4.15 19204[3:UnC:19203.0,36.0] || -> .
% 3.93/4.15 19211[3:Spt:19204.0,17420.0,17420.1] || aElementOf0(u,slsdtgt0(xb))*+ aElementOf0(v,slsdtgt0(xa))* -> .
% 3.93/4.15 19227[3:Res:34.0,19211.0] || aElementOf0(u,slsdtgt0(xa))* -> .
% 3.93/4.15 19229[3:UnC:19227.0,17588.0] || -> .
% 3.93/4.15 % SZS output end Refutation
% 3.93/4.15 Formulae used in the proof : mSortsC mSortsC_01 m__2091 m__2129 m__2203 m__2174 m__ mUnNeZr mDefIdeal mSortsU mPrIdeal mAddZero mMulUnit mMulZero mSetEq m__2110 mEOfElem mSortsB mSortsB_02 mMulMnOne mDefPrIdeal mMulComm mCancel mMulAsso mAMDistr
% 3.93/4.15
%------------------------------------------------------------------------------