TSTP Solution File: ALG130+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG130+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 : Thu Jul 14 18:02:34 EDT 2022
% Result : Unsatisfiable 0.37s 0.56s
% Output : Refutation 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ALG130+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n023.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 : Wed Jun 8 03:05:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.37/0.56
% 0.37/0.56 SPASS V 3.9
% 0.37/0.56 SPASS beiseite: Proof found.
% 0.37/0.56 % SZS status Theorem
% 0.37/0.56 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.56 SPASS derived 1484 clauses, backtracked 1557 clauses, performed 13 splits and kept 2118 clauses.
% 0.37/0.56 SPASS allocated 86061 KBytes.
% 0.37/0.56 SPASS spent 0:00:00.22 on the problem.
% 0.37/0.56 0:00:00.04 for the input.
% 0.37/0.56 0:00:00.04 for the FLOTTER CNF translation.
% 0.37/0.56 0:00:00.00 for inferences.
% 0.37/0.56 0:00:00.00 for the backtracking.
% 0.37/0.56 0:00:00.12 for the reduction.
% 0.37/0.56
% 0.37/0.56
% 0.37/0.56 Here is a proof with depth 3, length 466 :
% 0.37/0.56 % SZS output start Refutation
% 0.37/0.56 1[0:Inp] || equal(e1,e0)** -> .
% 0.37/0.56 2[0:Inp] || equal(e2,e0)** -> .
% 0.37/0.56 3[0:Inp] || equal(e3,e0)** -> .
% 0.37/0.56 4[0:Inp] || equal(e2,e1)** -> .
% 0.37/0.56 5[0:Inp] || equal(e3,e1)** -> .
% 0.37/0.56 6[0:Inp] || equal(e3,e2)** -> .
% 0.37/0.56 7[0:Inp] || -> equal(op(op(e0,e0),e0),e0)**.
% 0.37/0.56 8[0:Inp] || -> equal(op(op(e0,e1),e0),e1)**.
% 0.37/0.56 9[0:Inp] || -> equal(op(op(e0,e2),e0),e2)**.
% 0.37/0.56 10[0:Inp] || -> equal(op(op(e0,e3),e0),e3)**.
% 0.37/0.56 11[0:Inp] || -> equal(op(op(e1,e0),e1),e0)**.
% 0.37/0.56 12[0:Inp] || -> equal(op(op(e1,e1),e1),e1)**.
% 0.37/0.56 14[0:Inp] || -> equal(op(op(e1,e3),e1),e3)**.
% 0.37/0.56 15[0:Inp] || -> equal(op(op(e2,e0),e2),e0)**.
% 0.37/0.56 16[0:Inp] || -> equal(op(op(e2,e1),e2),e1)**.
% 0.37/0.56 17[0:Inp] || -> equal(op(op(e2,e2),e2),e2)**.
% 0.37/0.56 18[0:Inp] || -> equal(op(op(e2,e3),e2),e3)**.
% 0.37/0.56 19[0:Inp] || -> equal(op(op(e3,e0),e3),e0)**.
% 0.37/0.56 21[0:Inp] || -> equal(op(op(e3,e2),e3),e2)**.
% 0.37/0.56 25[0:Inp] || equal(op(e3,e0),op(e0,e0))** -> .
% 0.37/0.56 26[0:Inp] || equal(op(e2,e0),op(e1,e0))** -> .
% 0.37/0.56 28[0:Inp] || equal(op(e3,e0),op(e2,e0))** -> .
% 0.37/0.56 29[0:Inp] || equal(op(e1,e1),op(e0,e1))** -> .
% 0.37/0.56 30[0:Inp] || equal(op(e2,e1),op(e0,e1))** -> .
% 0.37/0.56 32[0:Inp] || equal(op(e2,e1),op(e1,e1))** -> .
% 0.37/0.56 33[0:Inp] || equal(op(e3,e1),op(e1,e1))** -> .
% 0.37/0.56 34[0:Inp] || equal(op(e3,e1),op(e2,e1))** -> .
% 0.37/0.56 35[0:Inp] || equal(op(e1,e2),op(e0,e2))** -> .
% 0.37/0.56 36[0:Inp] || equal(op(e2,e2),op(e0,e2))** -> .
% 0.37/0.56 38[0:Inp] || equal(op(e2,e2),op(e1,e2))** -> .
% 0.37/0.56 40[0:Inp] || equal(op(e3,e2),op(e2,e2))** -> .
% 0.37/0.56 41[0:Inp] || equal(op(e1,e3),op(e0,e3))** -> .
% 0.37/0.56 42[0:Inp] || equal(op(e2,e3),op(e0,e3))** -> .
% 0.37/0.56 43[0:Inp] || equal(op(e3,e3),op(e0,e3))** -> .
% 0.37/0.56 44[0:Inp] || equal(op(e2,e3),op(e1,e3))** -> .
% 0.37/0.56 45[0:Inp] || equal(op(e3,e3),op(e1,e3))** -> .
% 0.37/0.56 46[0:Inp] || equal(op(e3,e3),op(e2,e3))** -> .
% 0.37/0.56 47[0:Inp] || equal(op(e0,e1),op(e0,e0))** -> .
% 0.37/0.56 48[0:Inp] || equal(op(e0,e2),op(e0,e0))** -> .
% 0.37/0.56 49[0:Inp] || equal(op(e0,e3),op(e0,e0))** -> .
% 0.37/0.56 50[0:Inp] || equal(op(e0,e2),op(e0,e1))** -> .
% 0.37/0.56 51[0:Inp] || equal(op(e0,e3),op(e0,e1))** -> .
% 0.37/0.56 52[0:Inp] || equal(op(e0,e3),op(e0,e2))** -> .
% 0.37/0.56 54[0:Inp] || equal(op(e1,e2),op(e1,e0))** -> .
% 0.37/0.56 55[0:Inp] || equal(op(e1,e3),op(e1,e0))** -> .
% 0.37/0.56 56[0:Inp] || equal(op(e1,e2),op(e1,e1))** -> .
% 0.37/0.56 57[0:Inp] || equal(op(e1,e3),op(e1,e1))** -> .
% 0.37/0.56 58[0:Inp] || equal(op(e1,e3),op(e1,e2))** -> .
% 0.37/0.56 59[0:Inp] || equal(op(e2,e1),op(e2,e0))** -> .
% 0.37/0.56 60[0:Inp] || equal(op(e2,e2),op(e2,e0))** -> .
% 0.37/0.56 61[0:Inp] || equal(op(e2,e3),op(e2,e0))** -> .
% 0.37/0.56 62[0:Inp] || equal(op(e2,e2),op(e2,e1))** -> .
% 0.37/0.56 63[0:Inp] || equal(op(e2,e3),op(e2,e1))** -> .
% 0.37/0.56 64[0:Inp] || equal(op(e2,e3),op(e2,e2))** -> .
% 0.37/0.56 66[0:Inp] || equal(op(e3,e2),op(e3,e0))** -> .
% 0.37/0.56 67[0:Inp] || equal(op(e3,e3),op(e3,e0))** -> .
% 0.37/0.56 70[0:Inp] || equal(op(e3,e3),op(e3,e2))** -> .
% 0.37/0.56 71[0:Inp] || SkC0 -> equal(op(e0,op(e0,e0)),op(e0,e0))**.
% 0.37/0.56 73[0:Inp] || SkC0 -> equal(op(e0,op(e2,e0)),op(e2,e0))**.
% 0.37/0.56 74[0:Inp] || SkC0 -> equal(op(e0,op(e3,e0)),op(e3,e0))**.
% 0.37/0.56 75[0:Inp] || SkC1 -> equal(op(e1,op(e0,e1)),op(e0,e1))**.
% 0.37/0.56 77[0:Inp] || SkC1 -> equal(op(e1,op(e2,e1)),op(e2,e1))**.
% 0.37/0.56 79[0:Inp] || SkC2 -> equal(op(e2,op(e0,e2)),op(e0,e2))**.
% 0.37/0.56 80[0:Inp] || SkC2 -> equal(op(e2,op(e1,e2)),op(e1,e2))**.
% 0.37/0.56 81[0:Inp] || SkC2 -> equal(op(e2,op(e2,e2)),op(e2,e2))**.
% 0.37/0.56 83[0:Inp] || -> SkC2 SkC1 SkC0 equal(op(e3,op(e0,e3)),op(e0,e3))**.
% 0.37/0.56 84[0:Inp] || -> SkC2 SkC1 SkC0 equal(op(e3,op(e1,e3)),op(e1,e3))**.
% 0.37/0.56 85[0:Inp] || -> SkC2 SkC1 SkC0 equal(op(e3,op(e2,e3)),op(e2,e3))**.
% 0.37/0.56 87[0:Inp] || equal(op(e2,e1),e3) equal(op(op(e2,e1),op(e2,e1)),e0)** -> .
% 0.37/0.56 89[0:Inp] || equal(op(e1,e2),e3) equal(op(op(e1,e2),op(e1,e2)),e0)** -> .
% 0.37/0.56 91[0:Inp] || equal(op(e1,e3),e2) equal(op(op(e1,e3),op(e1,e3)),e0)** -> .
% 0.37/0.56 93[0:Inp] || equal(op(e2,e0),e3) equal(op(op(e2,e0),op(e2,e0)),e1)** -> .
% 0.37/0.56 96[0:Inp] || equal(op(e3,e2),e0) equal(op(op(e3,e2),op(e3,e2)),e1)** -> .
% 0.37/0.56 99[0:Inp] || equal(op(e1,e0),e3) equal(op(op(e1,e0),op(e1,e0)),e2)** -> .
% 0.37/0.56 100[0:Inp] || equal(op(e3,e0),e1) equal(op(op(e3,e0),op(e3,e0)),e2)** -> .
% 0.37/0.56 101[0:Inp] || equal(op(e0,e1),e3) equal(op(op(e0,e1),op(e0,e1)),e2)** -> .
% 0.37/0.56 104[0:Inp] || equal(op(e1,e3),e0) equal(op(op(e1,e3),op(e1,e3)),e2)** -> .
% 0.37/0.56 106[0:Inp] || equal(op(e2,e0),e1) equal(op(op(e2,e0),op(e2,e0)),e3)** -> .
% 0.37/0.56 107[0:Inp] || equal(op(e0,e1),e2) equal(op(op(e0,e1),op(e0,e1)),e3)** -> .
% 0.37/0.56 111[0:Inp] || -> equal(op(e3,e3),e3)** equal(op(e2,e3),e3) equal(op(e1,e3),e3) equal(op(e0,e3),e3).
% 0.37/0.56 113[0:Inp] || -> equal(op(e3,e3),e2)** equal(op(e2,e3),e2) equal(op(e1,e3),e2) equal(op(e0,e3),e2).
% 0.37/0.56 115[0:Inp] || -> equal(op(e3,e3),e1)** equal(op(e1,e3),e1) equal(op(e2,e3),e1) equal(op(e0,e3),e1).
% 0.37/0.56 116[0:Inp] || -> equal(op(e3,e3),e1)** equal(op(e3,e1),e1) equal(op(e3,e2),e1) equal(op(e3,e0),e1).
% 0.37/0.56 117[0:Inp] || -> equal(op(e3,e3),e0)** equal(op(e0,e3),e0) equal(op(e2,e3),e0) equal(op(e1,e3),e0).
% 0.37/0.56 118[0:Inp] || -> equal(op(e3,e3),e0)** equal(op(e3,e0),e0) equal(op(e3,e2),e0) equal(op(e3,e1),e0).
% 0.37/0.56 120[0:Inp] || -> equal(op(e2,e3),e3)** equal(op(e2,e2),e3) equal(op(e2,e1),e3) equal(op(e2,e0),e3).
% 0.37/0.56 121[0:Inp] || -> equal(op(e2,e2),e2) equal(op(e3,e2),e2)** equal(op(e1,e2),e2) equal(op(e0,e2),e2).
% 0.37/0.56 122[0:Inp] || -> equal(op(e2,e2),e2) equal(op(e2,e3),e2)** equal(op(e2,e1),e2) equal(op(e2,e0),e2).
% 0.37/0.56 123[0:Inp] || -> equal(op(e2,e2),e1) equal(op(e1,e2),e1) equal(op(e3,e2),e1)** equal(op(e0,e2),e1).
% 0.37/0.56 124[0:Inp] || -> equal(op(e2,e2),e1) equal(op(e2,e1),e1) equal(op(e2,e3),e1)** equal(op(e2,e0),e1).
% 0.37/0.56 125[0:Inp] || -> equal(op(e2,e2),e0) equal(op(e0,e2),e0) equal(op(e3,e2),e0)** equal(op(e1,e2),e0).
% 0.37/0.56 126[0:Inp] || -> equal(op(e2,e2),e0) equal(op(e2,e0),e0) equal(op(e2,e3),e0)** equal(op(e2,e1),e0).
% 0.37/0.56 127[0:Inp] || -> equal(op(e3,e1),e3)** equal(op(e1,e1),e3) equal(op(e2,e1),e3) equal(op(e0,e1),e3).
% 0.37/0.56 128[0:Inp] || -> equal(op(e1,e3),e3)** equal(op(e1,e1),e3) equal(op(e1,e2),e3) equal(op(e1,e0),e3).
% 0.37/0.56 129[0:Inp] || -> equal(op(e2,e1),e2) equal(op(e1,e1),e2) equal(op(e3,e1),e2)** equal(op(e0,e1),e2).
% 0.37/0.56 136[0:Inp] || -> equal(op(e0,e3),e3)** equal(op(e0,e0),e3) equal(op(e0,e2),e3) equal(op(e0,e1),e3).
% 0.37/0.56 143[0:Inp] || -> equal(op(e3,e3),e3)** equal(op(e3,e3),e2) equal(op(e3,e3),e1) equal(op(e3,e3),e0).
% 0.37/0.56 147[0:Inp] || -> equal(op(e2,e3),e3)** equal(op(e2,e3),e2) equal(op(e2,e3),e1) equal(op(e2,e3),e0).
% 0.37/0.56 148[0:Inp] || -> equal(op(e2,e2),e2) equal(op(e2,e2),e3)** equal(op(e2,e2),e1) equal(op(e2,e2),e0).
% 0.37/0.56 149[0:Inp] || -> equal(op(e2,e1),e2) equal(op(e2,e1),e1) equal(op(e2,e1),e3)** equal(op(e2,e1),e0).
% 0.37/0.56 150[0:Inp] || -> equal(op(e2,e0),e2) equal(op(e2,e0),e0) equal(op(e2,e0),e3)** equal(op(e2,e0),e1).
% 0.37/0.56 151[0:Inp] || -> equal(op(e1,e3),e3)** equal(op(e1,e3),e1) equal(op(e1,e3),e2) equal(op(e1,e3),e0).
% 0.37/0.56 153[0:Inp] || -> equal(op(e1,e1),e1) equal(op(e1,e1),e3)** equal(op(e1,e1),e2) equal(op(e1,e1),e0).
% 0.37/0.56 155[0:Inp] || -> equal(op(e0,e3),e3)** equal(op(e0,e3),e0) equal(op(e0,e3),e2) equal(op(e0,e3),e1).
% 0.37/0.56 156[0:Inp] || -> equal(op(e0,e2),e2) equal(op(e0,e2),e0) equal(op(e0,e2),e3)** equal(op(e0,e2),e1).
% 0.37/0.56 157[0:Inp] || -> equal(op(e0,e1),e1) equal(op(e0,e1),e0) equal(op(e0,e1),e3)** equal(op(e0,e1),e2).
% 0.37/0.56 158[0:Inp] || -> equal(op(e0,e0),e0) equal(op(e0,e0),e3)** equal(op(e0,e0),e2) equal(op(e0,e0),e1).
% 0.37/0.56 159[1:Spt:157.0] || -> equal(op(e0,e1),e1)**.
% 0.37/0.56 168[1:Rew:159.0,8.0] || -> equal(op(e1,e0),e1)**.
% 0.37/0.56 169[1:Rew:159.0,51.0] || equal(op(e0,e3),e1)** -> .
% 0.37/0.56 170[1:Rew:159.0,50.0] || equal(op(e0,e2),e1)** -> .
% 0.37/0.56 173[1:Rew:159.0,30.0] || equal(op(e2,e1),e1)** -> .
% 0.37/0.56 184[1:Rew:168.0,11.0] || -> equal(op(e1,e1),e0)**.
% 0.37/0.56 185[1:Rew:168.0,55.0] || equal(op(e1,e3),e1)** -> .
% 0.37/0.56 186[1:Rew:168.0,54.0] || equal(op(e1,e2),e1)** -> .
% 0.37/0.56 189[1:Rew:168.0,26.0] || equal(op(e2,e0),e1)** -> .
% 0.37/0.56 193[1:Rew:184.0,57.0] || equal(op(e1,e3),e0)** -> .
% 0.37/0.56 194[1:Rew:184.0,56.0] || equal(op(e1,e2),e0)** -> .
% 0.37/0.56 195[1:Rew:184.0,33.0] || equal(op(e3,e1),e0)** -> .
% 0.37/0.56 196[1:Rew:184.0,32.0] || equal(op(e2,e1),e0)** -> .
% 0.37/0.56 198[1:MRR:155.3,169.0] || -> equal(op(e0,e3),e3)** equal(op(e0,e3),e0) equal(op(e0,e3),e2).
% 0.37/0.56 199[1:MRR:115.3,169.0] || -> equal(op(e3,e3),e1)** equal(op(e1,e3),e1) equal(op(e2,e3),e1).
% 0.37/0.56 201[1:MRR:123.3,170.0] || -> equal(op(e2,e2),e1) equal(op(e1,e2),e1) equal(op(e3,e2),e1)**.
% 0.37/0.56 205[1:MRR:149.1,173.0] || -> equal(op(e2,e1),e2) equal(op(e2,e1),e3)** equal(op(e2,e1),e0).
% 0.37/0.56 206[1:MRR:124.1,173.0] || -> equal(op(e2,e2),e1) equal(op(e2,e3),e1)** equal(op(e2,e0),e1).
% 0.37/0.56 208[1:MRR:151.1,185.0] || -> equal(op(e1,e3),e3)** equal(op(e1,e3),e2) equal(op(e1,e3),e0).
% 0.37/0.56 212[1:MRR:150.3,189.0] || -> equal(op(e2,e0),e2) equal(op(e2,e0),e0) equal(op(e2,e0),e3)**.
% 0.37/0.56 213[1:MRR:117.3,193.0] || -> equal(op(e3,e3),e0)** equal(op(e0,e3),e0) equal(op(e2,e3),e0).
% 0.37/0.56 214[1:MRR:125.3,194.0] || -> equal(op(e2,e2),e0) equal(op(e0,e2),e0) equal(op(e3,e2),e0)**.
% 0.37/0.56 215[1:MRR:118.3,195.0] || -> equal(op(e3,e3),e0)** equal(op(e3,e0),e0) equal(op(e3,e2),e0).
% 0.37/0.56 227[1:MRR:199.1,185.0] || -> equal(op(e3,e3),e1)** equal(op(e2,e3),e1).
% 0.37/0.56 228[1:MRR:201.1,186.0] || -> equal(op(e2,e2),e1) equal(op(e3,e2),e1)**.
% 0.37/0.56 231[1:MRR:205.2,196.0] || -> equal(op(e2,e1),e2) equal(op(e2,e1),e3)**.
% 0.37/0.56 232[1:MRR:206.2,189.0] || -> equal(op(e2,e2),e1) equal(op(e2,e3),e1)**.
% 0.37/0.56 233[1:MRR:208.2,193.0] || -> equal(op(e1,e3),e3)** equal(op(e1,e3),e2).
% 0.37/0.56 250[2:Spt:147.0] || -> equal(op(e2,e3),e3)**.
% 0.37/0.56 259[2:Rew:250.0,18.0] || -> equal(op(e3,e2),e3)**.
% 0.37/0.56 261[2:Rew:250.0,63.0] || equal(op(e2,e1),e3)** -> .
% 0.37/0.56 262[2:Rew:250.0,61.0] || equal(op(e2,e0),e3)** -> .
% 0.37/0.56 269[2:Rew:259.0,215.2] || -> equal(op(e3,e3),e0)** equal(op(e3,e0),e0) equal(e3,e0).
% 0.37/0.56 275[2:Rew:259.0,21.0] || -> equal(op(e3,e3),e2)**.
% 0.37/0.56 290[2:MRR:231.1,261.0] || -> equal(op(e2,e1),e2)**.
% 0.37/0.56 294[2:Rew:290.0,59.0] || equal(op(e2,e0),e2)** -> .
% 0.37/0.56 320[2:MRR:212.2,262.0] || -> equal(op(e2,e0),e2)** equal(op(e2,e0),e0).
% 0.37/0.56 367[2:MRR:320.0,294.0] || -> equal(op(e2,e0),e0)**.
% 0.37/0.56 369[2:Rew:367.0,28.0] || equal(op(e3,e0),e0)** -> .
% 0.37/0.56 415[2:Rew:275.0,269.0] || -> equal(e2,e0) equal(op(e3,e0),e0)** equal(e3,e0).
% 0.37/0.56 416[2:MRR:415.0,415.1,415.2,2.0,369.0,3.0] || -> .
% 0.37/0.56 417[2:Spt:416.0,147.0,250.0] || equal(op(e2,e3),e3)** -> .
% 0.37/0.56 418[2:Spt:416.0,147.1,147.2,147.3] || -> equal(op(e2,e3),e2)** equal(op(e2,e3),e1) equal(op(e2,e3),e0).
% 0.37/0.56 421[3:Spt:418.0] || -> equal(op(e2,e3),e2)**.
% 0.37/0.56 423[3:Rew:421.0,18.0] || -> equal(op(e2,e2),e3)**.
% 0.37/0.56 424[3:Rew:421.0,42.0] || equal(op(e0,e3),e2)** -> .
% 0.37/0.56 425[3:Rew:421.0,44.0] || equal(op(e1,e3),e2)** -> .
% 0.37/0.56 437[3:Rew:423.0,17.0] || -> equal(op(e3,e2),e2)**.
% 0.37/0.56 445[3:Rew:423.0,214.0] || -> equal(e3,e0) equal(op(e0,e2),e0) equal(op(e3,e2),e0)**.
% 0.37/0.56 459[3:MRR:198.2,424.0] || -> equal(op(e0,e3),e3)** equal(op(e0,e3),e0).
% 0.37/0.56 462[3:MRR:233.1,425.0] || -> equal(op(e1,e3),e3)**.
% 0.37/0.56 475[3:Rew:462.0,41.0] || equal(op(e0,e3),e3)** -> .
% 0.37/0.56 530[3:MRR:459.0,475.0] || -> equal(op(e0,e3),e0)**.
% 0.37/0.56 533[3:Rew:530.0,52.0] || equal(op(e0,e2),e0)** -> .
% 0.37/0.56 564[3:Rew:437.0,445.2] || -> equal(e3,e0) equal(op(e0,e2),e0)** equal(e2,e0).
% 0.37/0.56 565[3:MRR:564.0,564.1,564.2,3.0,533.0,2.0] || -> .
% 0.37/0.56 566[3:Spt:565.0,418.0,421.0] || equal(op(e2,e3),e2)** -> .
% 0.37/0.56 567[3:Spt:565.0,418.1,418.2] || -> equal(op(e2,e3),e1)** equal(op(e2,e3),e0).
% 0.37/0.56 570[4:Spt:567.0] || -> equal(op(e2,e3),e1)**.
% 0.37/0.56 573[4:Rew:570.0,18.0] || -> equal(op(e1,e2),e3)**.
% 0.37/0.56 574[4:Rew:570.0,64.0] || equal(op(e2,e2),e1)** -> .
% 0.37/0.56 583[4:Rew:570.0,213.2] || -> equal(op(e3,e3),e0)** equal(op(e0,e3),e0) equal(e1,e0).
% 0.37/0.56 594[4:Rew:573.0,89.0] || equal(e3,e3) equal(op(op(e1,e2),op(e1,e2)),e0)** -> .
% 0.37/0.56 606[4:MRR:228.0,574.0] || -> equal(op(e3,e2),e1)**.
% 0.37/0.56 608[4:Rew:606.0,21.0] || -> equal(op(e1,e3),e2)**.
% 0.37/0.56 617[4:Rew:606.0,214.2] || -> equal(op(e2,e2),e0)** equal(op(e0,e2),e0) equal(e1,e0).
% 0.37/0.56 624[4:Rew:608.0,91.0] || equal(e2,e2) equal(op(op(e1,e3),op(e1,e3)),e0)** -> .
% 0.37/0.56 657[4:MRR:583.2,1.0] || -> equal(op(e3,e3),e0)** equal(op(e0,e3),e0).
% 0.37/0.56 659[4:MRR:617.2,1.0] || -> equal(op(e2,e2),e0)** equal(op(e0,e2),e0).
% 0.37/0.56 665[4:Obv:594.0] || equal(op(op(e1,e2),op(e1,e2)),e0)** -> .
% 0.37/0.56 666[4:Rew:573.0,665.0] || equal(op(e3,e3),e0)** -> .
% 0.37/0.56 667[4:MRR:657.0,666.0] || -> equal(op(e0,e3),e0)**.
% 0.37/0.56 673[4:Rew:667.0,52.0] || equal(op(e0,e2),e0)** -> .
% 0.37/0.56 698[4:MRR:659.1,673.0] || -> equal(op(e2,e2),e0)**.
% 0.37/0.56 730[4:Obv:624.0] || equal(op(op(e1,e3),op(e1,e3)),e0)** -> .
% 0.37/0.56 731[4:Rew:698.0,730.0,608.0,730.0] || equal(e0,e0)* -> .
% 0.37/0.56 732[4:Obv:731.0] || -> .
% 0.37/0.56 735[4:Spt:732.0,567.0,570.0] || equal(op(e2,e3),e1)** -> .
% 0.37/0.56 736[4:Spt:732.0,567.1] || -> equal(op(e2,e3),e0)**.
% 0.37/0.56 740[4:Rew:736.0,18.0] || -> equal(op(e0,e2),e3)**.
% 0.37/0.56 761[4:Rew:736.0,227.1] || -> equal(op(e3,e3),e1)** equal(e1,e0).
% 0.37/0.56 762[4:MRR:761.1,1.0] || -> equal(op(e3,e3),e1)**.
% 0.37/0.56 783[4:Rew:736.0,232.1] || -> equal(op(e2,e2),e1)** equal(e1,e0).
% 0.37/0.56 784[4:MRR:783.1,1.0] || -> equal(op(e2,e2),e1)**.
% 0.37/0.56 813[4:Rew:740.0,214.1,784.0,214.0] || -> equal(e1,e0) equal(e3,e0) equal(op(e3,e2),e0)**.
% 0.37/0.56 814[4:MRR:813.0,813.1,1.0,3.0] || -> equal(op(e3,e2),e0)**.
% 0.37/0.56 815[4:Rew:814.0,21.0] || -> equal(op(e0,e3),e2)**.
% 0.37/0.56 820[4:Rew:815.0,10.0] || -> equal(op(e2,e0),e3)**.
% 0.37/0.56 857[4:Rew:762.0,93.1,820.0,93.1,820.0,93.0] || equal(e3,e3)* equal(e1,e1) -> .
% 0.37/0.56 858[4:Obv:857.1] || -> .
% 0.37/0.56 859[1:Spt:858.0,157.0,159.0] || equal(op(e0,e1),e1)** -> .
% 0.37/0.56 860[1:Spt:858.0,157.1,157.2,157.3] || -> equal(op(e0,e1),e0) equal(op(e0,e1),e3)** equal(op(e0,e1),e2).
% 0.37/0.56 863[2:Spt:860.0] || -> equal(op(e0,e1),e0)**.
% 0.37/0.56 865[2:Rew:863.0,8.0] || -> equal(op(e0,e0),e1)**.
% 0.37/0.56 867[2:Rew:863.0,30.0] || equal(op(e2,e1),e0)** -> .
% 0.37/0.56 871[2:Rew:863.0,51.0] || equal(op(e0,e3),e0)** -> .
% 0.37/0.56 873[2:Rew:863.0,136.3] || -> equal(op(e0,e3),e3)** equal(op(e0,e0),e3) equal(op(e0,e2),e3) equal(e3,e0).
% 0.37/0.56 874[2:Rew:863.0,127.3] || -> equal(op(e3,e1),e3)** equal(op(e1,e1),e3) equal(op(e2,e1),e3) equal(e3,e0).
% 0.37/0.56 879[2:Rew:865.0,7.0] || -> equal(op(e1,e0),e0)**.
% 0.37/0.56 880[2:Rew:865.0,25.0] || equal(op(e3,e0),e1)** -> .
% 0.37/0.56 881[2:Rew:865.0,48.0] || equal(op(e0,e2),e1)** -> .
% 0.37/0.56 882[2:Rew:865.0,49.0] || equal(op(e0,e3),e1)** -> .
% 0.37/0.56 885[2:Rew:865.0,71.1] || SkC0 -> equal(op(e0,e1),e1)**.
% 0.37/0.56 890[2:Rew:879.0,26.0] || equal(op(e2,e0),e0)** -> .
% 0.37/0.56 894[2:Rew:879.0,55.0] || equal(op(e1,e3),e0)** -> .
% 0.37/0.56 902[2:MRR:126.3,867.0] || -> equal(op(e2,e2),e0) equal(op(e2,e0),e0) equal(op(e2,e3),e0)**.
% 0.37/0.56 903[2:MRR:149.3,867.0] || -> equal(op(e2,e1),e2) equal(op(e2,e1),e1) equal(op(e2,e1),e3)**.
% 0.37/0.56 909[2:MRR:117.1,871.0] || -> equal(op(e3,e3),e0)** equal(op(e2,e3),e0) equal(op(e1,e3),e0).
% 0.37/0.56 910[2:MRR:155.1,871.0] || -> equal(op(e0,e3),e3)** equal(op(e0,e3),e2) equal(op(e0,e3),e1).
% 0.37/0.56 912[2:MRR:116.3,880.0] || -> equal(op(e3,e3),e1)** equal(op(e3,e1),e1) equal(op(e3,e2),e1).
% 0.37/0.56 913[2:MRR:123.3,881.0] || -> equal(op(e2,e2),e1) equal(op(e1,e2),e1) equal(op(e3,e2),e1)**.
% 0.37/0.56 919[2:MRR:151.3,894.0] || -> equal(op(e1,e3),e3)** equal(op(e1,e3),e1) equal(op(e1,e3),e2).
% 0.37/0.56 920[2:Rew:863.0,885.1] || SkC0* -> equal(e1,e0).
% 0.37/0.56 921[2:MRR:920.1,1.0] || SkC0* -> .
% 0.37/0.56 922[2:MRR:83.2,921.0] || -> SkC2 SkC1 equal(op(e3,op(e0,e3)),op(e0,e3))**.
% 0.37/0.56 924[2:MRR:85.2,921.0] || -> SkC2 SkC1 equal(op(e3,op(e2,e3)),op(e2,e3))**.
% 0.37/0.56 927[2:MRR:902.1,890.0] || -> equal(op(e2,e2),e0) equal(op(e2,e3),e0)**.
% 0.37/0.56 931[2:MRR:909.2,894.0] || -> equal(op(e3,e3),e0)** equal(op(e2,e3),e0).
% 0.37/0.56 932[2:MRR:910.2,882.0] || -> equal(op(e0,e3),e3)** equal(op(e0,e3),e2).
% 0.37/0.56 935[2:Rew:865.0,873.1] || -> equal(op(e0,e3),e3)** equal(e3,e1) equal(op(e0,e2),e3) equal(e3,e0).
% 0.37/0.56 936[2:MRR:935.1,935.3,5.0,3.0] || -> equal(op(e0,e3),e3)** equal(op(e0,e2),e3).
% 0.37/0.56 937[2:MRR:874.3,3.0] || -> equal(op(e3,e1),e3)** equal(op(e1,e1),e3) equal(op(e2,e1),e3).
% 0.37/0.56 949[3:Spt:147.0] || -> equal(op(e2,e3),e3)**.
% 0.37/0.56 950[3:Rew:949.0,18.0] || -> equal(op(e3,e2),e3)**.
% 0.37/0.56 951[3:Rew:949.0,42.0] || equal(op(e0,e3),e3)** -> .
% 0.37/0.56 952[3:Rew:949.0,44.0] || equal(op(e1,e3),e3)** -> .
% 0.37/0.56 955[3:Rew:949.0,63.0] || equal(op(e2,e1),e3)** -> .
% 0.37/0.56 958[3:Rew:949.0,927.1] || -> equal(op(e2,e2),e0)** equal(e3,e0).
% 0.37/0.56 965[3:Rew:949.0,924.2] || -> SkC2 SkC1 equal(op(e3,e3),e3)**.
% 0.37/0.56 966[3:Rew:950.0,21.0] || -> equal(op(e3,e3),e2)**.
% 0.37/0.56 978[3:Rew:950.0,913.2] || -> equal(op(e2,e2),e1)** equal(op(e1,e2),e1) equal(e3,e1).
% 0.37/0.56 985[3:Rew:966.0,45.0] || equal(op(e1,e3),e2)** -> .
% 0.37/0.56 988[3:MRR:932.0,951.0] || -> equal(op(e0,e3),e2)**.
% 0.37/0.56 990[3:Rew:988.0,10.0] || -> equal(op(e2,e0),e3)**.
% 0.37/0.56 1022[3:MRR:919.0,952.0] || -> equal(op(e1,e3),e1) equal(op(e1,e3),e2)**.
% 0.37/0.56 1027[3:MRR:903.2,955.0] || -> equal(op(e2,e1),e2)** equal(op(e2,e1),e1).
% 0.37/0.56 1044[3:Rew:966.0,965.2] || -> SkC2 SkC1* equal(e3,e2).
% 0.37/0.56 1045[3:MRR:1044.2,6.0] || -> SkC2 SkC1*.
% 0.37/0.56 1048[3:MRR:958.1,3.0] || -> equal(op(e2,e2),e0)**.
% 0.37/0.56 1052[3:Rew:1048.0,81.1] || SkC2 -> equal(op(e2,e0),e0)**.
% 0.37/0.56 1056[3:Rew:990.0,1052.1] || SkC2* -> equal(e3,e0).
% 0.37/0.56 1057[3:MRR:1056.1,3.0] || SkC2* -> .
% 0.37/0.56 1058[3:MRR:1045.0,1057.0] || -> SkC1*.
% 0.37/0.56 1061[3:MRR:77.0,1058.0] || -> equal(op(e1,op(e2,e1)),op(e2,e1))**.
% 0.37/0.56 1064[3:MRR:1022.1,985.0] || -> equal(op(e1,e3),e1)**.
% 0.37/0.56 1065[3:Rew:1064.0,14.0] || -> equal(op(e1,e1),e3)**.
% 0.37/0.56 1071[3:Rew:1065.0,12.0] || -> equal(op(e3,e1),e1)**.
% 0.37/0.56 1079[3:Rew:1071.0,34.0] || equal(op(e2,e1),e1)** -> .
% 0.37/0.56 1090[3:MRR:1027.1,1079.0] || -> equal(op(e2,e1),e2)**.
% 0.37/0.56 1094[3:Rew:1090.0,1061.0] || -> equal(op(e1,e2),e2)**.
% 0.37/0.56 1106[3:Rew:1094.0,978.1,1048.0,978.0] || -> equal(e1,e0) equal(e2,e1) equal(e3,e1)**.
% 0.37/0.56 1107[3:MRR:1106.0,1106.1,1106.2,1.0,4.0,5.0] || -> .
% 0.37/0.56 1116[3:Spt:1107.0,147.0,949.0] || equal(op(e2,e3),e3)** -> .
% 0.37/0.56 1117[3:Spt:1107.0,147.1,147.2,147.3] || -> equal(op(e2,e3),e2)** equal(op(e2,e3),e1) equal(op(e2,e3),e0).
% 0.37/0.56 1120[4:Spt:1117.0] || -> equal(op(e2,e3),e2)**.
% 0.37/0.56 1122[4:Rew:1120.0,18.0] || -> equal(op(e2,e2),e3)**.
% 0.37/0.56 1124[4:Rew:1120.0,63.0] || equal(op(e2,e1),e2)** -> .
% 0.37/0.56 1128[4:Rew:1120.0,42.0] || equal(op(e0,e3),e2)** -> .
% 0.37/0.56 1130[4:Rew:1120.0,931.1] || -> equal(op(e3,e3),e0)** equal(e2,e0).
% 0.37/0.56 1136[4:Rew:1122.0,17.0] || -> equal(op(e3,e2),e2)**.
% 0.37/0.56 1141[4:Rew:1122.0,62.0] || equal(op(e2,e1),e3)** -> .
% 0.37/0.56 1143[4:Rew:1122.0,81.1] || SkC2 -> equal(op(e2,e3),e3)**.
% 0.37/0.56 1156[4:Rew:1136.0,912.2] || -> equal(op(e3,e3),e1)** equal(op(e3,e1),e1) equal(e2,e1).
% 0.37/0.56 1159[4:MRR:903.0,1124.0] || -> equal(op(e2,e1),e1) equal(op(e2,e1),e3)**.
% 0.37/0.56 1183[4:MRR:932.1,1128.0] || -> equal(op(e0,e3),e3)**.
% 0.37/0.56 1188[4:Rew:1183.0,43.0] || equal(op(e3,e3),e3)** -> .
% 0.37/0.56 1191[4:Rew:1183.0,922.2] || -> SkC2 SkC1 equal(op(e3,e3),e3)**.
% 0.37/0.56 1209[4:MRR:937.2,1141.0] || -> equal(op(e3,e1),e3)** equal(op(e1,e1),e3).
% 0.37/0.56 1217[4:Rew:1120.0,1143.1] || SkC2* -> equal(e3,e2).
% 0.37/0.56 1218[4:MRR:1217.1,6.0] || SkC2* -> .
% 0.37/0.56 1221[4:MRR:1191.0,1191.2,1218.0,1188.0] || -> SkC1*.
% 0.37/0.56 1222[4:MRR:77.0,1221.0] || -> equal(op(e1,op(e2,e1)),op(e2,e1))**.
% 0.37/0.56 1225[4:MRR:1130.1,2.0] || -> equal(op(e3,e3),e0)**.
% 0.37/0.56 1235[4:MRR:1159.1,1141.0] || -> equal(op(e2,e1),e1)**.
% 0.37/0.56 1242[4:Rew:1235.0,1222.0] || -> equal(op(e1,e1),e1)**.
% 0.37/0.56 1268[4:Rew:1242.0,1209.1] || -> equal(op(e3,e1),e3)** equal(e3,e1).
% 0.37/0.56 1269[4:MRR:1268.1,5.0] || -> equal(op(e3,e1),e3)**.
% 0.37/0.56 1280[4:Rew:1269.0,1156.1,1225.0,1156.0] || -> equal(e1,e0) equal(e3,e1)** equal(e2,e1).
% 0.37/0.56 1281[4:MRR:1280.0,1280.1,1280.2,1.0,5.0,4.0] || -> .
% 0.37/0.56 1286[4:Spt:1281.0,1117.0,1120.0] || equal(op(e2,e3),e2)** -> .
% 0.37/0.56 1287[4:Spt:1281.0,1117.1,1117.2] || -> equal(op(e2,e3),e1)** equal(op(e2,e3),e0).
% 0.37/0.56 1290[5:Spt:1287.0] || -> equal(op(e2,e3),e1)**.
% 0.37/0.56 1293[5:Rew:1290.0,18.0] || -> equal(op(e1,e2),e3)**.
% 0.37/0.56 1295[5:Rew:1290.0,44.0] || equal(op(e1,e3),e1)** -> .
% 0.37/0.56 1309[5:Rew:1293.0,35.0] || equal(op(e0,e2),e3)** -> .
% 0.37/0.56 1311[5:Rew:1293.0,58.0] || equal(op(e1,e3),e3)** -> .
% 0.37/0.56 1331[5:MRR:919.1,1295.0] || -> equal(op(e1,e3),e3)** equal(op(e1,e3),e2).
% 0.37/0.56 1337[5:MRR:936.1,1309.0] || -> equal(op(e0,e3),e3)**.
% 0.37/0.56 1341[5:Rew:1337.0,10.0] || -> equal(op(e3,e0),e3)**.
% 0.37/0.56 1358[5:Rew:1341.0,19.0] || -> equal(op(e3,e3),e0)**.
% 0.37/0.56 1399[5:MRR:1331.0,1311.0] || -> equal(op(e1,e3),e2)**.
% 0.37/0.56 1401[5:Rew:1399.0,14.0] || -> equal(op(e2,e1),e3)**.
% 0.37/0.56 1409[5:Rew:1401.0,87.0] || equal(e3,e3) equal(op(op(e2,e1),op(e2,e1)),e0)** -> .
% 0.37/0.56 1437[5:Obv:1409.0] || equal(op(op(e2,e1),op(e2,e1)),e0)** -> .
% 0.37/0.56 1438[5:Rew:1358.0,1437.0,1401.0,1437.0] || equal(e0,e0)* -> .
% 0.37/0.56 1439[5:Obv:1438.0] || -> .
% 0.37/0.56 1442[5:Spt:1439.0,1287.0,1290.0] || equal(op(e2,e3),e1)** -> .
% 0.37/0.56 1443[5:Spt:1439.0,1287.1] || -> equal(op(e2,e3),e0)**.
% 0.37/0.56 1447[5:Rew:1443.0,18.0] || -> equal(op(e0,e2),e3)**.
% 0.37/0.56 1462[5:Rew:1447.0,52.0] || equal(op(e0,e3),e3)** -> .
% 0.37/0.56 1468[5:MRR:932.0,1462.0] || -> equal(op(e0,e3),e2)**.
% 0.37/0.56 1471[5:Rew:1468.0,10.0] || -> equal(op(e2,e0),e3)**.
% 0.37/0.56 1477[5:Rew:1471.0,15.0] || -> equal(op(e3,e2),e0)**.
% 0.37/0.56 1585[5:Rew:865.0,96.1,1477.0,96.1,1477.0,96.0] || equal(e0,e0) equal(e1,e1)* -> .
% 0.37/0.56 1586[5:Obv:1585.1] || -> .
% 0.37/0.56 1591[2:Spt:1586.0,860.0,863.0] || equal(op(e0,e1),e0)** -> .
% 0.37/0.56 1592[2:Spt:1586.0,860.1,860.2] || -> equal(op(e0,e1),e3)** equal(op(e0,e1),e2).
% 0.37/0.56 1595[3:Spt:1592.0] || -> equal(op(e0,e1),e3)**.
% 0.37/0.56 1598[3:Rew:1595.0,8.0] || -> equal(op(e3,e0),e1)**.
% 0.37/0.56 1599[3:Rew:1595.0,51.0] || equal(op(e0,e3),e3)** -> .
% 0.37/0.56 1600[3:Rew:1595.0,50.0] || equal(op(e0,e2),e3)** -> .
% 0.37/0.56 1601[3:Rew:1595.0,47.0] || equal(op(e0,e0),e3)** -> .
% 0.37/0.56 1603[3:Rew:1595.0,30.0] || equal(op(e2,e1),e3)** -> .
% 0.37/0.56 1604[3:Rew:1595.0,29.0] || equal(op(e1,e1),e3)** -> .
% 0.37/0.56 1605[3:Rew:1595.0,101.0] || equal(e3,e3) equal(op(op(e0,e1),op(e0,e1)),e2)** -> .
% 0.37/0.56 1606[3:Rew:1595.0,129.3] || -> equal(op(e2,e1),e2) equal(op(e1,e1),e2) equal(op(e3,e1),e2)** equal(e3,e2).
% 0.37/0.56 1609[3:Rew:1595.0,75.1] || SkC1 -> equal(op(e1,e3),e3)**.
% 0.37/0.56 1610[3:Rew:1598.0,19.0] || -> equal(op(e1,e3),e0)**.
% 0.37/0.56 1612[3:Rew:1598.0,67.0] || equal(op(e3,e3),e1)** -> .
% 0.37/0.56 1614[3:Rew:1598.0,66.0] || equal(op(e3,e2),e1)** -> .
% 0.37/0.56 1615[3:Rew:1598.0,25.0] || equal(op(e0,e0),e1)** -> .
% 0.37/0.56 1617[3:Rew:1598.0,74.1] || SkC0 -> equal(op(e0,e1),e1)**.
% 0.37/0.56 1621[3:Rew:1598.0,100.1] || equal(op(e3,e0),e1)** equal(op(e1,e1),e2) -> .
% 0.37/0.56 1627[3:Rew:1610.0,44.0] || equal(op(e2,e3),e0)** -> .
% 0.37/0.56 1628[3:Rew:1610.0,41.0] || equal(op(e0,e3),e0)** -> .
% 0.37/0.56 1629[3:Rew:1610.0,57.0] || equal(op(e1,e1),e0)** -> .
% 0.37/0.56 1630[3:Rew:1610.0,45.0] || equal(op(e3,e3),e0)** -> .
% 0.37/0.56 1633[3:Rew:1610.0,84.3] || -> SkC2 SkC1 SkC0 equal(op(e3,e0),e0)**.
% 0.37/0.56 1634[3:Rew:1610.0,113.2] || -> equal(op(e3,e3),e2)** equal(op(e2,e3),e2) equal(e2,e0) equal(op(e0,e3),e2).
% 0.37/0.56 1637[3:Rew:1610.0,104.1] || equal(op(e1,e3),e0)** equal(op(e0,e0),e2) -> .
% 0.37/0.56 1642[3:MRR:155.0,1599.0] || -> equal(op(e0,e3),e0) equal(op(e0,e3),e2)** equal(op(e0,e3),e1).
% 0.37/0.56 1643[3:MRR:156.2,1600.0] || -> equal(op(e0,e2),e2)** equal(op(e0,e2),e0) equal(op(e0,e2),e1).
% 0.37/0.56 1645[3:MRR:158.1,1601.0] || -> equal(op(e0,e0),e0) equal(op(e0,e0),e2)** equal(op(e0,e0),e1).
% 0.37/0.56 1647[3:MRR:149.2,1603.0] || -> equal(op(e2,e1),e2)** equal(op(e2,e1),e1) equal(op(e2,e1),e0).
% 0.37/0.56 1649[3:MRR:153.1,1604.0] || -> equal(op(e1,e1),e1) equal(op(e1,e1),e2)** equal(op(e1,e1),e0).
% 0.37/0.56 1651[3:MRR:143.2,1612.0] || -> equal(op(e3,e3),e3)** equal(op(e3,e3),e2) equal(op(e3,e3),e0).
% 0.37/0.56 1654[3:MRR:123.2,1614.0] || -> equal(op(e2,e2),e1)** equal(op(e1,e2),e1) equal(op(e0,e2),e1).
% 0.37/0.56 1659[3:MRR:147.3,1627.0] || -> equal(op(e2,e3),e3)** equal(op(e2,e3),e2) equal(op(e2,e3),e1).
% 0.37/0.56 1664[3:Rew:1610.0,1609.1] || SkC1* -> equal(e3,e0).
% 0.37/0.56 1665[3:MRR:1664.1,3.0] || SkC1* -> .
% 0.37/0.56 1669[3:Rew:1595.0,1617.1] || SkC0* -> equal(e3,e1).
% 0.37/0.56 1670[3:MRR:1669.1,5.0] || SkC0* -> .
% 0.37/0.56 1671[3:Rew:1598.0,1633.3] || -> SkC2 SkC1 SkC0* equal(e1,e0).
% 0.37/0.56 1672[3:MRR:1671.1,1671.2,1671.3,1665.0,1670.0,1.0] || -> SkC2*.
% 0.37/0.56 1673[3:MRR:79.0,1672.0] || -> equal(op(e2,op(e0,e2)),op(e0,e2))**.
% 0.37/0.56 1677[3:Rew:1598.0,1621.0] || equal(e1,e1) equal(op(e1,e1),e2)** -> .
% 0.37/0.56 1678[3:Obv:1677.0] || equal(op(e1,e1),e2)** -> .
% 0.37/0.56 1679[3:Rew:1610.0,1637.0] || equal(e0,e0) equal(op(e0,e0),e2)** -> .
% 0.37/0.56 1680[3:Obv:1679.0] || equal(op(e0,e0),e2)** -> .
% 0.37/0.56 1681[3:Obv:1605.0] || equal(op(op(e0,e1),op(e0,e1)),e2)** -> .
% 0.37/0.56 1682[3:Rew:1595.0,1681.0] || equal(op(e3,e3),e2)** -> .
% 0.37/0.56 1683[3:MRR:1642.0,1628.0] || -> equal(op(e0,e3),e2)** equal(op(e0,e3),e1).
% 0.37/0.56 1684[3:MRR:1645.1,1645.2,1680.0,1615.0] || -> equal(op(e0,e0),e0)**.
% 0.37/0.56 1689[3:Rew:1684.0,48.0] || equal(op(e0,e2),e0)** -> .
% 0.37/0.56 1693[3:MRR:1643.1,1689.0] || -> equal(op(e0,e2),e2)** equal(op(e0,e2),e1).
% 0.37/0.56 1695[3:MRR:1649.1,1649.2,1678.0,1629.0] || -> equal(op(e1,e1),e1)**.
% 0.37/0.56 1698[3:Rew:1695.0,32.0] || equal(op(e2,e1),e1)** -> .
% 0.37/0.56 1699[3:Rew:1695.0,56.0] || equal(op(e1,e2),e1)** -> .
% 0.37/0.56 1704[3:MRR:1647.1,1698.0] || -> equal(op(e2,e1),e2)** equal(op(e2,e1),e0).
% 0.37/0.56 1705[3:MRR:1651.1,1651.2,1682.0,1630.0] || -> equal(op(e3,e3),e3)**.
% 0.37/0.56 1707[3:Rew:1705.0,46.0] || equal(op(e2,e3),e3)** -> .
% 0.37/0.56 1718[3:MRR:1654.1,1699.0] || -> equal(op(e2,e2),e1)** equal(op(e0,e2),e1).
% 0.37/0.56 1722[3:MRR:1659.0,1707.0] || -> equal(op(e2,e3),e2)** equal(op(e2,e3),e1).
% 0.37/0.56 1725[3:Rew:1695.0,1606.1] || -> equal(op(e2,e1),e2) equal(e2,e1) equal(op(e3,e1),e2)** equal(e3,e2).
% 0.37/0.56 1726[3:MRR:1725.1,1725.3,4.0,6.0] || -> equal(op(e2,e1),e2) equal(op(e3,e1),e2)**.
% 0.37/0.56 1737[3:Rew:1705.0,1634.0] || -> equal(e3,e2) equal(op(e2,e3),e2)** equal(e2,e0) equal(op(e0,e3),e2).
% 0.37/0.56 1738[3:MRR:1737.0,1737.2,6.0,2.0] || -> equal(op(e2,e3),e2)** equal(op(e0,e3),e2).
% 0.37/0.56 1746[4:Spt:122.0] || -> equal(op(e2,e2),e2)**.
% 0.37/0.56 1749[4:Rew:1746.0,36.0] || equal(op(e0,e2),e2)** -> .
% 0.37/0.56 1813[4:MRR:1693.0,1749.0] || -> equal(op(e0,e2),e1)**.
% 0.37/0.56 1817[4:Rew:1813.0,1673.0] || -> equal(op(e2,e1),e1)**.
% 0.37/0.56 1825[4:MRR:1817.0,1698.0] || -> .
% 0.37/0.56 1868[4:Spt:1825.0,122.0,1746.0] || equal(op(e2,e2),e2)** -> .
% 0.37/0.56 1869[4:Spt:1825.0,122.1,122.2,122.3] || -> equal(op(e2,e3),e2)** equal(op(e2,e1),e2) equal(op(e2,e0),e2).
% 0.37/0.56 1871[4:MRR:121.0,1868.0] || -> equal(op(e3,e2),e2)** equal(op(e1,e2),e2) equal(op(e0,e2),e2).
% 0.37/0.56 1872[5:Spt:1869.0] || -> equal(op(e2,e3),e2)**.
% 0.37/0.56 1877[5:Rew:1872.0,42.0] || equal(op(e0,e3),e2)** -> .
% 0.37/0.56 1879[5:Rew:1872.0,63.0] || equal(op(e2,e1),e2)** -> .
% 0.37/0.56 1908[5:MRR:1683.0,1877.0] || -> equal(op(e0,e3),e1)**.
% 0.37/0.56 1912[5:Rew:1908.0,10.0] || -> equal(op(e1,e0),e3)**.
% 0.37/0.56 1924[5:Rew:1912.0,11.0] || -> equal(op(e3,e1),e0)**.
% 0.37/0.56 1943[5:Rew:1924.0,1726.1] || -> equal(op(e2,e1),e2)** equal(e2,e0).
% 0.37/0.56 1949[5:MRR:1704.0,1879.0] || -> equal(op(e2,e1),e0)**.
% 0.37/0.56 1990[5:Rew:1949.0,1943.0] || -> equal(e2,e0)** equal(e2,e0)**.
% 0.37/0.56 1991[5:Obv:1990.0] || -> equal(e2,e0)**.
% 0.37/0.56 1992[5:MRR:1991.0,2.0] || -> .
% 0.37/0.56 2001[5:Spt:1992.0,1869.0,1872.0] || equal(op(e2,e3),e2)** -> .
% 0.37/0.56 2002[5:Spt:1992.0,1869.1,1869.2] || -> equal(op(e2,e1),e2)** equal(op(e2,e0),e2).
% 0.37/0.56 2003[5:MRR:1738.0,2001.0] || -> equal(op(e0,e3),e2)**.
% 0.37/0.56 2006[5:Rew:2003.0,10.0] || -> equal(op(e2,e0),e3)**.
% 0.37/0.56 2011[5:Rew:2006.0,15.0] || -> equal(op(e3,e2),e0)**.
% 0.37/0.56 2026[5:MRR:1722.0,2001.0] || -> equal(op(e2,e3),e1)**.
% 0.37/0.56 2030[5:Rew:2026.0,18.0] || -> equal(op(e1,e2),e3)**.
% 0.37/0.56 2032[5:Rew:2026.0,64.0] || equal(op(e2,e2),e1)** -> .
% 0.37/0.56 2047[5:MRR:1718.0,2032.0] || -> equal(op(e0,e2),e1)**.
% 0.37/0.56 2067[5:Rew:2047.0,1871.2,2030.0,1871.1,2011.0,1871.0] || -> equal(e2,e0) equal(e3,e2)** equal(e2,e1).
% 0.37/0.56 2068[5:MRR:2067.0,2067.1,2067.2,2.0,6.0,4.0] || -> .
% 0.37/0.56 2090[3:Spt:2068.0,1592.0,1595.0] || equal(op(e0,e1),e3)** -> .
% 0.37/0.56 2091[3:Spt:2068.0,1592.1] || -> equal(op(e0,e1),e2)**.
% 0.37/0.56 2095[3:Rew:2091.0,8.0] || -> equal(op(e2,e0),e1)**.
% 0.37/0.56 2096[3:Rew:2095.0,15.0] || -> equal(op(e1,e2),e0)**.
% 0.37/0.56 2100[3:Rew:2095.0,60.0] || equal(op(e2,e2),e1)** -> .
% 0.37/0.56 2101[3:Rew:2095.0,61.0] || equal(op(e2,e3),e1)** -> .
% 0.37/0.56 2105[3:Rew:2096.0,38.0] || equal(op(e2,e2),e0)** -> .
% 0.37/0.56 2106[3:Rew:2091.0,29.0] || equal(op(e1,e1),e2)** -> .
% 0.37/0.56 2113[3:Rew:2096.0,58.0] || equal(op(e1,e3),e0)** -> .
% 0.37/0.56 2115[3:Rew:2096.0,56.0] || equal(op(e1,e1),e0)** -> .
% 0.37/0.56 2116[3:Rew:2096.0,75.1,2091.0,75.1] || SkC1* -> equal(e2,e0).
% 0.37/0.56 2117[3:MRR:2116.1,2.0] || SkC1* -> .
% 0.37/0.56 2118[3:Rew:2091.0,73.1,2095.0,73.1] || SkC0* -> equal(e2,e1).
% 0.37/0.56 2119[3:MRR:2118.1,4.0] || SkC0* -> .
% 0.37/0.56 2120[3:Rew:2095.0,80.1,2096.0,80.1] || SkC2* -> equal(e1,e0).
% 0.37/0.56 2121[3:MRR:2120.1,1.0] || SkC2* -> .
% 0.37/0.56 2122[3:MRR:84.0,84.1,84.2,2121.0,2117.0,2119.0] || -> equal(op(e3,op(e1,e3)),op(e1,e3))**.
% 0.37/0.56 2132[3:Rew:2091.0,107.1,2091.0,107.0] || equal(e2,e2) equal(op(e2,e2),e3)** -> .
% 0.37/0.56 2133[3:Obv:2132.0] || equal(op(e2,e2),e3)** -> .
% 0.37/0.56 2135[3:Rew:2095.0,106.1,2095.0,106.0] || equal(e1,e1) equal(op(e1,e1),e3)** -> .
% 0.37/0.56 2136[3:Obv:2135.0] || equal(op(e1,e1),e3)** -> .
% 0.37/0.56 2141[3:MRR:147.2,2101.0] || -> equal(op(e2,e3),e3)** equal(op(e2,e3),e2) equal(op(e2,e3),e0).
% 0.37/0.56 2146[3:MRR:153.1,153.2,153.3,2136.0,2106.0,2115.0] || -> equal(op(e1,e1),e1)**.
% 0.37/0.57 2149[3:Rew:2146.0,57.0] || equal(op(e1,e3),e1)** -> .
% 0.37/0.57 2156[3:Rew:2095.0,120.3] || -> equal(op(e2,e3),e3)** equal(op(e2,e2),e3) equal(op(e2,e1),e3) equal(e3,e1).
% 0.37/0.57 2157[3:MRR:2156.1,2156.3,2133.0,5.0] || -> equal(op(e2,e3),e3)** equal(op(e2,e1),e3).
% 0.37/0.57 2175[3:Rew:2096.0,128.2,2146.0,128.1] || -> equal(op(e1,e3),e3)** equal(e3,e1) equal(e3,e0) equal(op(e1,e0),e3).
% 0.37/0.57 2176[3:MRR:2175.1,2175.2,5.0,3.0] || -> equal(op(e1,e3),e3)** equal(op(e1,e0),e3).
% 0.37/0.57 2179[3:MRR:151.1,151.3,2149.0,2113.0] || -> equal(op(e1,e3),e3)** equal(op(e1,e3),e2).
% 0.37/0.57 2196[3:MRR:148.1,148.2,148.3,2133.0,2100.0,2105.0] || -> equal(op(e2,e2),e2)**.
% 0.37/0.57 2199[3:Rew:2196.0,40.0] || equal(op(e3,e2),e2)** -> .
% 0.37/0.57 2200[3:Rew:2196.0,64.0] || equal(op(e2,e3),e2)** -> .
% 0.37/0.57 2207[3:MRR:2141.1,2200.0] || -> equal(op(e2,e3),e3)** equal(op(e2,e3),e0).
% 0.37/0.57 2210[4:Spt:111.0] || -> equal(op(e3,e3),e3)**.
% 0.37/0.57 2213[4:Rew:2210.0,45.0] || equal(op(e1,e3),e3)** -> .
% 0.37/0.57 2278[4:MRR:2179.0,2213.0] || -> equal(op(e1,e3),e2)**.
% 0.37/0.57 2281[4:Rew:2278.0,2122.0] || -> equal(op(e3,e2),e2)**.
% 0.37/0.57 2290[4:MRR:2281.0,2199.0] || -> .
% 0.37/0.57 2329[4:Spt:2290.0,111.0,2210.0] || equal(op(e3,e3),e3)** -> .
% 0.37/0.57 2330[4:Spt:2290.0,111.1,111.2,111.3] || -> equal(op(e2,e3),e3)** equal(op(e1,e3),e3) equal(op(e0,e3),e3).
% 0.37/0.57 2332[4:MRR:143.0,2329.0] || -> equal(op(e3,e3),e2)** equal(op(e3,e3),e1) equal(op(e3,e3),e0).
% 0.37/0.57 2333[5:Spt:2330.0] || -> equal(op(e2,e3),e3)**.
% 0.37/0.57 2336[5:Rew:2333.0,18.0] || -> equal(op(e3,e2),e3)**.
% 0.37/0.57 2338[5:Rew:2333.0,44.0] || equal(op(e1,e3),e3)** -> .
% 0.37/0.57 2347[5:Rew:2336.0,21.0] || -> equal(op(e3,e3),e2)**.
% 0.37/0.57 2368[5:MRR:2176.0,2338.0] || -> equal(op(e1,e0),e3)**.
% 0.37/0.57 2375[5:Rew:2368.0,99.0] || equal(e3,e3) equal(op(op(e1,e0),op(e1,e0)),e2)** -> .
% 0.37/0.57 2455[5:Obv:2375.0] || equal(op(op(e1,e0),op(e1,e0)),e2)** -> .
% 0.37/0.57 2456[5:Rew:2347.0,2455.0,2368.0,2455.0] || equal(e2,e2)* -> .
% 0.37/0.57 2457[5:Obv:2456.0] || -> .
% 0.37/0.57 2470[5:Spt:2457.0,2330.0,2333.0] || equal(op(e2,e3),e3)** -> .
% 0.37/0.57 2471[5:Spt:2457.0,2330.1,2330.2] || -> equal(op(e1,e3),e3)** equal(op(e0,e3),e3).
% 0.37/0.57 2472[5:MRR:2207.0,2470.0] || -> equal(op(e2,e3),e0)**.
% 0.37/0.57 2476[5:Rew:2472.0,18.0] || -> equal(op(e0,e2),e3)**.
% 0.37/0.57 2480[5:Rew:2472.0,46.0] || equal(op(e3,e3),e0)** -> .
% 0.37/0.57 2484[5:Rew:2476.0,9.0] || -> equal(op(e3,e0),e2)**.
% 0.37/0.57 2492[5:Rew:2484.0,67.0] || equal(op(e3,e3),e2)** -> .
% 0.37/0.57 2495[5:Rew:2472.0,2157.0] || -> equal(e3,e0) equal(op(e2,e1),e3)**.
% 0.37/0.57 2496[5:MRR:2495.0,3.0] || -> equal(op(e2,e1),e3)**.
% 0.37/0.57 2499[5:Rew:2496.0,16.0] || -> equal(op(e3,e2),e1)**.
% 0.37/0.57 2506[5:Rew:2499.0,70.0] || equal(op(e3,e3),e1)** -> .
% 0.37/0.57 2538[5:MRR:2332.0,2332.1,2332.2,2492.0,2506.0,2480.0] || -> .
% 0.37/0.57 % SZS output end Refutation
% 0.37/0.57 Formulae used in the proof : ax4 ax5 ax3 ax6 ax8 ax10 ax12 ax15 ax18 ax19 ax20 ax23 ax25 ax26 ax2 ax1
% 0.37/0.57
%------------------------------------------------------------------------------