TSTP Solution File: ALG139+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG139+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 18:02:37 EDT 2022
% Result : Unsatisfiable 0.46s 0.65s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ALG139+1 : TPTP v8.1.0. Released v2.7.0.
% 0.04/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 9 07:00:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.46/0.65
% 0.46/0.65 SPASS V 3.9
% 0.46/0.65 SPASS beiseite: Proof found.
% 0.46/0.65 % SZS status Theorem
% 0.46/0.65 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.65 SPASS derived 1692 clauses, backtracked 1550 clauses, performed 12 splits and kept 2288 clauses.
% 0.46/0.65 SPASS allocated 86238 KBytes.
% 0.46/0.65 SPASS spent 0:00:00.30 on the problem.
% 0.46/0.65 0:00:00.04 for the input.
% 0.46/0.65 0:00:00.04 for the FLOTTER CNF translation.
% 0.46/0.65 0:00:00.00 for inferences.
% 0.46/0.65 0:00:00.00 for the backtracking.
% 0.46/0.65 0:00:00.19 for the reduction.
% 0.46/0.65
% 0.46/0.65
% 0.46/0.65 Here is a proof with depth 3, length 526 :
% 0.46/0.65 % SZS output start Refutation
% 0.46/0.65 1[0:Inp] || equal(e1,e0)** -> .
% 0.46/0.65 2[0:Inp] || equal(e2,e0)** -> .
% 0.46/0.65 3[0:Inp] || equal(e3,e0)** -> .
% 0.46/0.65 4[0:Inp] || equal(e2,e1)** -> .
% 0.46/0.65 5[0:Inp] || equal(e3,e1)** -> .
% 0.46/0.65 6[0:Inp] || equal(e3,e2)** -> .
% 0.46/0.65 7[0:Inp] || SkC0 -> equal(op(e0,e0),e0)**.
% 0.46/0.65 8[0:Inp] || SkC1 -> equal(op(e1,e1),e0)**.
% 0.46/0.65 9[0:Inp] || SkC2 -> equal(op(e2,e2),e0)**.
% 0.46/0.65 10[0:Inp] || SkC3 -> equal(op(e0,e0),e1)**.
% 0.46/0.65 11[0:Inp] || SkC4 -> equal(op(e1,e1),e1)**.
% 0.46/0.65 12[0:Inp] || SkC5 -> equal(op(e2,e2),e1)**.
% 0.46/0.65 13[0:Inp] || SkC6 -> equal(op(e0,e0),e2)**.
% 0.46/0.65 14[0:Inp] || SkC7 -> equal(op(e1,e1),e2)**.
% 0.46/0.65 15[0:Inp] || SkC8 -> equal(op(e2,e2),e2)**.
% 0.46/0.65 16[0:Inp] || SkC9 -> equal(op(e0,e0),e3)**.
% 0.46/0.65 17[0:Inp] || SkC10 -> equal(op(e1,e1),e3)**.
% 0.46/0.65 18[0:Inp] || SkC11 -> equal(op(e2,e2),e3)**.
% 0.46/0.65 19[0:Inp] || equal(op(e1,e0),op(e0,e0))** -> .
% 0.46/0.65 20[0:Inp] || equal(op(e2,e0),op(e0,e0))** -> .
% 0.46/0.65 21[0:Inp] || equal(op(e3,e0),op(e0,e0))** -> .
% 0.46/0.65 23[0:Inp] || equal(op(e3,e0),op(e1,e0))** -> .
% 0.46/0.65 25[0:Inp] || equal(op(e1,e1),op(e0,e1))** -> .
% 0.46/0.65 28[0:Inp] || equal(op(e2,e1),op(e1,e1))** -> .
% 0.46/0.65 31[0:Inp] || equal(op(e1,e2),op(e0,e2))** -> .
% 0.46/0.65 32[0:Inp] || equal(op(e2,e2),op(e0,e2))** -> .
% 0.46/0.65 33[0:Inp] || equal(op(e3,e2),op(e0,e2))** -> .
% 0.46/0.65 34[0:Inp] || equal(op(e2,e2),op(e1,e2))** -> .
% 0.46/0.65 35[0:Inp] || equal(op(e3,e2),op(e1,e2))** -> .
% 0.46/0.65 36[0:Inp] || equal(op(e3,e2),op(e2,e2))** -> .
% 0.46/0.65 38[0:Inp] || equal(op(e2,e3),op(e0,e3))** -> .
% 0.46/0.65 39[0:Inp] || equal(op(e3,e3),op(e0,e3))** -> .
% 0.46/0.65 40[0:Inp] || equal(op(e2,e3),op(e1,e3))** -> .
% 0.46/0.65 41[0:Inp] || equal(op(e3,e3),op(e1,e3))** -> .
% 0.46/0.65 42[0:Inp] || equal(op(e3,e3),op(e2,e3))** -> .
% 0.46/0.65 43[0:Inp] || equal(op(e0,e1),op(e0,e0))** -> .
% 0.46/0.65 44[0:Inp] || equal(op(e0,e2),op(e0,e0))** -> .
% 0.46/0.65 45[0:Inp] || equal(op(e0,e3),op(e0,e0))** -> .
% 0.46/0.65 46[0:Inp] || equal(op(e0,e2),op(e0,e1))** -> .
% 0.46/0.65 47[0:Inp] || equal(op(e0,e3),op(e0,e1))** -> .
% 0.46/0.65 48[0:Inp] || equal(op(e0,e3),op(e0,e2))** -> .
% 0.46/0.65 49[0:Inp] || equal(op(e1,e1),op(e1,e0))** -> .
% 0.46/0.65 50[0:Inp] || equal(op(e1,e2),op(e1,e0))** -> .
% 0.46/0.65 51[0:Inp] || equal(op(e1,e3),op(e1,e0))** -> .
% 0.46/0.65 52[0:Inp] || equal(op(e1,e2),op(e1,e1))** -> .
% 0.46/0.65 53[0:Inp] || equal(op(e1,e3),op(e1,e1))** -> .
% 0.46/0.65 54[0:Inp] || equal(op(e1,e3),op(e1,e2))** -> .
% 0.46/0.65 56[0:Inp] || equal(op(e2,e2),op(e2,e0))** -> .
% 0.46/0.65 57[0:Inp] || equal(op(e2,e3),op(e2,e0))** -> .
% 0.46/0.65 58[0:Inp] || equal(op(e2,e2),op(e2,e1))** -> .
% 0.46/0.65 59[0:Inp] || equal(op(e2,e3),op(e2,e1))** -> .
% 0.46/0.65 60[0:Inp] || equal(op(e2,e3),op(e2,e2))** -> .
% 0.46/0.65 62[0:Inp] || equal(op(e3,e2),op(e3,e0))** -> .
% 0.46/0.65 63[0:Inp] || equal(op(e3,e3),op(e3,e0))** -> .
% 0.46/0.65 66[0:Inp] || equal(op(e3,e3),op(e3,e2))** -> .
% 0.46/0.65 67[0:Inp] || -> equal(op(e3,e3),e0)** SkC0 SkC1 SkC2.
% 0.46/0.65 68[0:Inp] || -> equal(op(e3,e3),e1)** SkC3 SkC4 SkC5.
% 0.46/0.65 69[0:Inp] || -> equal(op(e3,e3),e2)** SkC6 SkC7 SkC8.
% 0.46/0.65 70[0:Inp] || -> equal(op(e3,e3),e3)** SkC9 SkC10 SkC11.
% 0.46/0.65 71[0:Inp] || equal(op(e0,e0),e0)** SkC0 -> .
% 0.46/0.65 72[0:Inp] || SkC1 equal(op(e0,e0),e1)** -> .
% 0.46/0.65 73[0:Inp] || SkC2 equal(op(e0,e0),e2)** -> .
% 0.46/0.65 75[0:Inp] || equal(op(e1,e1),e1)** SkC4 -> .
% 0.46/0.65 79[0:Inp] || equal(op(e2,e2),e2)** SkC8 -> .
% 0.46/0.65 83[0:Inp] || equal(op(e0,e0),e3)** -> SkC0 SkC1 SkC2.
% 0.46/0.65 84[0:Inp] || equal(op(e1,e1),e3)** -> SkC3 SkC4 SkC5.
% 0.46/0.65 85[0:Inp] || equal(op(e2,e2),e3)** -> SkC6 SkC7 SkC8.
% 0.46/0.65 86[0:Inp] || equal(op(e3,e3),e3)** -> SkC9 SkC10 SkC11.
% 0.46/0.65 104[0:Inp] || -> equal(op(e1,e3),e3)** equal(op(e1,e1),e3) equal(op(e1,e2),e3) equal(op(e1,e0),e3).
% 0.46/0.65 106[0:Inp] || -> equal(op(e1,e2),e2) equal(op(e1,e1),e2) equal(op(e1,e3),e2)** equal(op(e1,e0),e2).
% 0.46/0.65 111[0:Inp] || -> equal(op(e3,e0),e3)** equal(op(e0,e0),e3) equal(op(e2,e0),e3) equal(op(e1,e0),e3).
% 0.46/0.65 113[0:Inp] || -> equal(op(e2,e0),e2) equal(op(e0,e0),e2) equal(op(e3,e0),e2)** equal(op(e1,e0),e2).
% 0.46/0.65 115[0:Inp] || -> equal(op(e1,e0),e1) equal(op(e0,e0),e1) equal(op(e3,e0),e1)** equal(op(e2,e0),e1).
% 0.46/0.65 117[0:Inp] || -> equal(op(e0,e0),e0) equal(op(e3,e0),e0)** equal(op(e2,e0),e0) equal(op(e1,e0),e0).
% 0.46/0.65 120[0:Inp] || -> equal(op(e3,e2),e3)** equal(op(e3,e2),e2) equal(op(e3,e2),e1) equal(op(e3,e2),e0).
% 0.46/0.65 122[0:Inp] || -> equal(op(e3,e0),e3)** equal(op(e3,e0),e0) equal(op(e3,e0),e2) equal(op(e3,e0),e1).
% 0.46/0.65 123[0:Inp] || -> equal(op(e2,e3),e3)** equal(op(e2,e3),e2) equal(op(e2,e3),e1) equal(op(e2,e3),e0).
% 0.46/0.65 125[0:Inp] || -> equal(op(e2,e1),e2) equal(op(e2,e1),e1) equal(op(e2,e1),e3)** equal(op(e2,e1),e0).
% 0.46/0.65 126[0:Inp] || -> equal(op(e2,e0),e2) equal(op(e2,e0),e0) equal(op(e2,e0),e3)** equal(op(e2,e0),e1).
% 0.46/0.65 127[0:Inp] || -> equal(op(e1,e3),e3)** equal(op(e1,e3),e1) equal(op(e1,e3),e2) equal(op(e1,e3),e0).
% 0.46/0.65 128[0:Inp] || -> equal(op(e1,e2),e2) equal(op(e1,e2),e1) equal(op(e1,e2),e3)** equal(op(e1,e2),e0).
% 0.46/0.65 129[0:Inp] || -> equal(op(e1,e1),e1) equal(op(e1,e1),e3)** equal(op(e1,e1),e2) equal(op(e1,e1),e0).
% 0.46/0.65 130[0:Inp] || -> equal(op(e1,e0),e1) equal(op(e1,e0),e0) equal(op(e1,e0),e3)** equal(op(e1,e0),e2).
% 0.46/0.65 131[0:Inp] || -> equal(op(e0,e3),e3)** equal(op(e0,e3),e0) equal(op(e0,e3),e2) equal(op(e0,e3),e1).
% 0.46/0.65 132[0:Inp] || -> equal(op(e0,e2),e2) equal(op(e0,e2),e0) equal(op(e0,e2),e3)** equal(op(e0,e2),e1).
% 0.46/0.65 133[0:Inp] || -> equal(op(e0,e1),e1) equal(op(e0,e1),e0) equal(op(e0,e1),e3)** equal(op(e0,e1),e2).
% 0.46/0.65 134[0:Inp] || -> equal(op(e0,e0),e0) equal(op(e0,e0),e3)** equal(op(e0,e0),e2) equal(op(e0,e0),e1).
% 0.46/0.65 135[0:Inp] || equal(op(e1,e1),e0) equal(op(op(e1,e1),e1),e3) equal(op(op(e1,e1),op(e1,e1)),e2)** -> .
% 0.46/0.65 136[0:Inp] || equal(op(e0,e0),e1) equal(op(op(e0,e0),e0),e3) equal(op(op(e0,e0),op(e0,e0)),e2)** -> .
% 0.46/0.65 137[0:Inp] || equal(op(e2,e2),e0) equal(op(op(e2,e2),e2),e3) equal(op(op(e2,e2),op(e2,e2)),e1)** -> .
% 0.46/0.65 138[0:Inp] || equal(op(e0,e0),e2) equal(op(op(e0,e0),e0),e3) equal(op(op(e0,e0),op(e0,e0)),e1)** -> .
% 0.46/0.65 141[0:Inp] || equal(op(e1,e1),e0) equal(op(op(e1,e1),e1),e2) equal(op(op(e1,e1),op(e1,e1)),e3)** -> .
% 0.46/0.65 142[0:Inp] || equal(op(e0,e0),e1) equal(op(op(e0,e0),e0),e2) equal(op(op(e0,e0),op(e0,e0)),e3)** -> .
% 0.46/0.65 144[0:Inp] || equal(op(e0,e0),e3) equal(op(op(e0,e0),e0),e2) equal(op(op(e0,e0),op(e0,e0)),e1)** -> .
% 0.46/0.65 148[0:Inp] || equal(op(e0,e0),e2) equal(op(op(e0,e0),e0),e1) equal(op(op(e0,e0),op(e0,e0)),e3)** -> .
% 0.46/0.65 149[0:Inp] || equal(op(e3,e3),e0) equal(op(op(e3,e3),e3),e1) equal(op(op(e3,e3),op(e3,e3)),e2)** -> .
% 0.46/0.65 150[0:Inp] || equal(op(e0,e0),e3) equal(op(op(e0,e0),e0),e1) equal(op(op(e0,e0),op(e0,e0)),e2)** -> .
% 0.46/0.65 154[0:Inp] || equal(op(e1,e1),e2) equal(op(op(e1,e1),e1),e0) equal(op(op(e1,e1),op(e1,e1)),e3)** -> .
% 0.46/0.65 155[0:Inp] || equal(op(e3,e3),e1) equal(op(op(e3,e3),e3),e0) equal(op(op(e3,e3),op(e3,e3)),e2)** -> .
% 0.46/0.65 159[0:Rew:15.1,79.0] || equal(e2,e2) SkC8* -> .
% 0.46/0.65 160[0:Obv:159.0] || SkC8* -> .
% 0.46/0.65 161[0:Rew:11.1,75.0] || equal(e1,e1) SkC4* -> .
% 0.46/0.65 162[0:Obv:161.0] || SkC4* -> .
% 0.46/0.65 163[0:Rew:7.1,71.0] || equal(e0,e0) SkC0* -> .
% 0.46/0.65 164[0:Obv:163.0] || SkC0* -> .
% 0.46/0.65 165[0:MRR:69.3,160.0] || -> SkC7 SkC6 equal(op(e3,e3),e2)**.
% 0.46/0.65 166[0:MRR:68.2,162.0] || -> SkC5 SkC3 equal(op(e3,e3),e1)**.
% 0.46/0.65 167[0:MRR:67.1,164.0] || -> SkC2 SkC1 equal(op(e3,e3),e0)**.
% 0.46/0.65 168[0:Rew:70.0,86.0] || equal(e3,e3) -> SkC9* SkC10 SkC11.
% 0.46/0.65 169[0:Obv:168.0] || -> SkC11 SkC10 SkC9*.
% 0.46/0.65 170[0:MRR:85.3,160.0] || equal(op(e2,e2),e3)** -> SkC7 SkC6.
% 0.46/0.65 171[0:MRR:84.2,162.0] || equal(op(e1,e1),e3)** -> SkC5 SkC3.
% 0.46/0.65 172[0:MRR:83.1,164.0] || equal(op(e0,e0),e3)** -> SkC2 SkC1.
% 0.46/0.65 173[1:Spt:134.0] || -> equal(op(e0,e0),e0)**.
% 0.46/0.65 179[1:Rew:173.0,16.1] || SkC9* -> equal(e3,e0).
% 0.46/0.65 185[1:Rew:173.0,13.1] || SkC6* -> equal(e2,e0).
% 0.46/0.65 191[1:Rew:173.0,10.1] || SkC3* -> equal(e1,e0).
% 0.46/0.65 198[1:MRR:179.1,3.0] || SkC9* -> .
% 0.46/0.65 199[1:MRR:169.2,198.0] || -> SkC11 SkC10*.
% 0.46/0.65 200[1:MRR:185.1,2.0] || SkC6* -> .
% 0.46/0.65 201[1:MRR:165.1,200.0] || -> SkC7 equal(op(e3,e3),e2)**.
% 0.46/0.65 202[1:MRR:170.2,200.0] || equal(op(e2,e2),e3)** -> SkC7.
% 0.46/0.65 203[1:MRR:191.1,1.0] || SkC3* -> .
% 0.46/0.65 204[1:MRR:166.1,203.0] || -> SkC5 equal(op(e3,e3),e1)**.
% 0.46/0.65 205[1:MRR:171.2,203.0] || equal(op(e1,e1),e3)** -> SkC5.
% 0.46/0.65 225[2:Spt:129.0] || -> equal(op(e1,e1),e1)**.
% 0.46/0.65 231[2:Rew:225.0,17.1] || SkC10* -> equal(e3,e1).
% 0.46/0.65 237[2:Rew:225.0,14.1] || SkC7* -> equal(e2,e1).
% 0.46/0.65 242[2:Rew:225.0,8.1] || SkC1* -> equal(e1,e0).
% 0.46/0.65 249[2:MRR:231.1,5.0] || SkC10* -> .
% 0.46/0.65 250[2:MRR:199.1,249.0] || -> SkC11*.
% 0.46/0.65 251[2:MRR:18.0,250.0] || -> equal(op(e2,e2),e3)**.
% 0.46/0.65 253[2:MRR:237.1,4.0] || SkC7* -> .
% 0.46/0.65 254[2:MRR:201.0,253.0] || -> equal(op(e3,e3),e2)**.
% 0.46/0.65 256[2:MRR:242.1,1.0] || SkC1* -> .
% 0.46/0.65 257[2:MRR:167.1,256.0] || -> SkC2 equal(op(e3,e3),e0)**.
% 0.46/0.65 269[2:Rew:251.0,9.1] || SkC2* -> equal(e3,e0).
% 0.46/0.65 299[2:MRR:269.1,3.0] || SkC2* -> .
% 0.46/0.65 312[2:Rew:254.0,257.1] || -> SkC2* equal(e2,e0).
% 0.46/0.65 313[2:MRR:312.0,312.1,299.0,2.0] || -> .
% 0.46/0.65 356[2:Spt:313.0,129.0,225.0] || equal(op(e1,e1),e1)** -> .
% 0.46/0.65 357[2:Spt:313.0,129.1,129.2,129.3] || -> equal(op(e1,e1),e3)** equal(op(e1,e1),e2) equal(op(e1,e1),e0).
% 0.46/0.65 360[3:Spt:357.0] || -> equal(op(e1,e1),e3)**.
% 0.46/0.65 366[3:Rew:360.0,8.1] || SkC1* -> equal(e3,e0).
% 0.46/0.65 372[3:Rew:360.0,14.1] || SkC7* -> equal(e3,e2).
% 0.46/0.65 375[3:Rew:360.0,205.0] || equal(e3,e3) -> SkC5*.
% 0.46/0.65 382[3:MRR:366.1,3.0] || SkC1* -> .
% 0.46/0.65 383[3:MRR:167.1,382.0] || -> SkC2 equal(op(e3,e3),e0)**.
% 0.46/0.65 384[3:MRR:372.1,6.0] || SkC7* -> .
% 0.46/0.65 385[3:MRR:201.0,384.0] || -> equal(op(e3,e3),e2)**.
% 0.46/0.65 387[3:Obv:375.0] || -> SkC5*.
% 0.46/0.65 388[3:MRR:12.0,387.0] || -> equal(op(e2,e2),e1)**.
% 0.46/0.65 418[3:Rew:388.0,9.1] || SkC2* -> equal(e1,e0).
% 0.46/0.65 431[3:MRR:418.1,1.0] || SkC2* -> .
% 0.46/0.65 440[3:Rew:385.0,383.1] || -> SkC2* equal(e2,e0).
% 0.46/0.65 441[3:MRR:440.0,440.1,431.0,2.0] || -> .
% 0.46/0.65 582[3:Spt:441.0,357.0,360.0] || equal(op(e1,e1),e3)** -> .
% 0.46/0.65 583[3:Spt:441.0,357.1,357.2] || -> equal(op(e1,e1),e2)** equal(op(e1,e1),e0).
% 0.46/0.65 584[3:MRR:17.1,582.0] || SkC10* -> .
% 0.46/0.65 585[3:MRR:199.1,584.0] || -> SkC11*.
% 0.46/0.65 586[3:MRR:18.0,585.0] || -> equal(op(e2,e2),e3)**.
% 0.46/0.65 587[3:Rew:586.0,202.0] || equal(e3,e3) -> SkC7*.
% 0.46/0.65 588[3:Rew:586.0,12.1] || SkC5* -> equal(e3,e1).
% 0.46/0.65 589[3:Rew:586.0,9.1] || SkC2* -> equal(e3,e0).
% 0.46/0.65 590[3:Obv:587.0] || -> SkC7*.
% 0.46/0.65 591[3:MRR:14.0,590.0] || -> equal(op(e1,e1),e2)**.
% 0.46/0.65 592[3:MRR:588.1,5.0] || SkC5* -> .
% 0.46/0.65 593[3:MRR:204.0,592.0] || -> equal(op(e3,e3),e1)**.
% 0.46/0.65 594[3:MRR:589.1,3.0] || SkC2* -> .
% 0.46/0.65 595[3:MRR:167.0,594.0] || -> SkC1 equal(op(e3,e3),e0)**.
% 0.46/0.65 598[3:Rew:591.0,8.1] || SkC1* -> equal(e2,e0).
% 0.46/0.65 599[3:MRR:598.1,2.0] || SkC1* -> .
% 0.46/0.65 600[3:Rew:593.0,595.1] || -> SkC1* equal(e1,e0).
% 0.46/0.65 601[3:MRR:600.0,600.1,599.0,1.0] || -> .
% 0.46/0.65 793[1:Spt:601.0,134.0,173.0] || equal(op(e0,e0),e0)** -> .
% 0.46/0.65 794[1:Spt:601.0,134.1,134.2,134.3] || -> equal(op(e0,e0),e3)** equal(op(e0,e0),e2) equal(op(e0,e0),e1).
% 0.46/0.65 795[1:MRR:117.0,793.0] || -> equal(op(e3,e0),e0)** equal(op(e2,e0),e0) equal(op(e1,e0),e0).
% 0.46/0.65 797[2:Spt:794.0] || -> equal(op(e0,e0),e3)**.
% 0.46/0.65 802[2:Rew:797.0,115.1] || -> equal(op(e1,e0),e1) equal(e3,e1) equal(op(e3,e0),e1)** equal(op(e2,e0),e1).
% 0.46/0.65 804[2:Rew:797.0,10.1] || SkC3* -> equal(e3,e1).
% 0.46/0.65 808[2:Rew:797.0,113.1] || -> equal(op(e2,e0),e2) equal(e3,e2) equal(op(e3,e0),e2)** equal(op(e1,e0),e2).
% 0.46/0.65 810[2:Rew:797.0,13.1] || SkC6* -> equal(e3,e2).
% 0.46/0.65 811[2:Rew:797.0,150.0] || equal(e3,e3) equal(op(op(e0,e0),e0),e1) equal(op(op(e0,e0),op(e0,e0)),e2)** -> .
% 0.46/0.65 812[2:Rew:797.0,144.0] || equal(e3,e3) equal(op(op(e0,e0),e0),e2) equal(op(op(e0,e0),op(e0,e0)),e1)** -> .
% 0.46/0.65 813[2:Rew:797.0,172.0] || equal(e3,e3) -> SkC2 SkC1*.
% 0.46/0.65 814[2:Rew:797.0,19.0] || equal(op(e1,e0),e3)** -> .
% 0.46/0.65 816[2:Rew:797.0,21.0] || equal(op(e3,e0),e3)** -> .
% 0.46/0.65 817[2:Rew:797.0,43.0] || equal(op(e0,e1),e3)** -> .
% 0.46/0.65 819[2:Rew:797.0,45.0] || equal(op(e0,e3),e3)** -> .
% 0.46/0.65 820[2:MRR:804.1,5.0] || SkC3* -> .
% 0.46/0.65 821[2:MRR:166.1,820.0] || -> SkC5 equal(op(e3,e3),e1)**.
% 0.46/0.65 822[2:MRR:171.2,820.0] || equal(op(e1,e1),e3)** -> SkC5.
% 0.46/0.65 823[2:MRR:810.1,6.0] || SkC6* -> .
% 0.46/0.65 824[2:MRR:165.1,823.0] || -> SkC7 equal(op(e3,e3),e2)**.
% 0.46/0.65 826[2:Obv:813.0] || -> SkC2 SkC1*.
% 0.46/0.65 827[2:MRR:130.2,814.0] || -> equal(op(e1,e0),e1) equal(op(e1,e0),e0) equal(op(e1,e0),e2)**.
% 0.46/0.65 828[2:MRR:104.3,814.0] || -> equal(op(e1,e3),e3)** equal(op(e1,e1),e3) equal(op(e1,e2),e3).
% 0.46/0.65 831[2:MRR:122.0,816.0] || -> equal(op(e3,e0),e0) equal(op(e3,e0),e2)** equal(op(e3,e0),e1).
% 0.46/0.65 833[2:MRR:133.2,817.0] || -> equal(op(e0,e1),e1) equal(op(e0,e1),e0) equal(op(e0,e1),e2)**.
% 0.46/0.65 837[2:MRR:131.0,819.0] || -> equal(op(e0,e3),e0) equal(op(e0,e3),e2)** equal(op(e0,e3),e1).
% 0.46/0.65 840[2:MRR:802.1,5.0] || -> equal(op(e1,e0),e1) equal(op(e3,e0),e1)** equal(op(e2,e0),e1).
% 0.46/0.65 842[2:MRR:808.1,6.0] || -> equal(op(e2,e0),e2) equal(op(e3,e0),e2)** equal(op(e1,e0),e2).
% 0.46/0.65 843[2:Obv:811.0] || equal(op(op(e0,e0),e0),e1) equal(op(op(e0,e0),op(e0,e0)),e2)** -> .
% 0.46/0.65 844[2:Rew:797.0,843.1,797.0,843.0] || equal(op(e3,e0),e1) equal(op(e3,e3),e2)** -> .
% 0.46/0.65 845[2:Obv:812.0] || equal(op(op(e0,e0),e0),e2) equal(op(op(e0,e0),op(e0,e0)),e1)** -> .
% 0.46/0.65 846[2:Rew:797.0,845.1,797.0,845.0] || equal(op(e3,e0),e2) equal(op(e3,e3),e1)** -> .
% 0.46/0.65 848[3:Spt:129.0] || -> equal(op(e1,e1),e1)**.
% 0.46/0.65 860[3:Rew:848.0,14.1] || SkC7* -> equal(e2,e1).
% 0.46/0.65 865[3:Rew:848.0,8.1] || SkC1* -> equal(e1,e0).
% 0.46/0.65 874[3:MRR:860.1,4.0] || SkC7* -> .
% 0.46/0.65 875[3:MRR:824.0,874.0] || -> equal(op(e3,e3),e2)**.
% 0.46/0.65 877[3:MRR:865.1,1.0] || SkC1* -> .
% 0.46/0.65 878[3:MRR:826.1,877.0] || -> SkC2*.
% 0.46/0.65 879[3:MRR:9.0,878.0] || -> equal(op(e2,e2),e0)**.
% 0.46/0.65 890[3:Rew:875.0,821.1] || -> SkC5* equal(e2,e1).
% 0.46/0.65 903[3:MRR:890.1,4.0] || -> SkC5*.
% 0.46/0.65 904[3:MRR:12.0,903.0] || -> equal(op(e2,e2),e1)**.
% 0.46/0.65 924[3:Rew:879.0,904.0] || -> equal(e1,e0)**.
% 0.46/0.65 925[3:MRR:924.0,1.0] || -> .
% 0.46/0.65 1040[3:Spt:925.0,129.0,848.0] || equal(op(e1,e1),e1)** -> .
% 0.46/0.65 1041[3:Spt:925.0,129.1,129.2,129.3] || -> equal(op(e1,e1),e3)** equal(op(e1,e1),e2) equal(op(e1,e1),e0).
% 0.46/0.65 1044[4:Spt:1041.0] || -> equal(op(e1,e1),e3)**.
% 0.46/0.65 1050[4:Rew:1044.0,8.1] || SkC1* -> equal(e3,e0).
% 0.46/0.65 1059[4:Rew:1044.0,822.0] || equal(e3,e3) -> SkC5*.
% 0.46/0.65 1066[4:MRR:1050.1,3.0] || SkC1* -> .
% 0.46/0.65 1067[4:MRR:826.1,1066.0] || -> SkC2*.
% 0.46/0.65 1068[4:MRR:9.0,1067.0] || -> equal(op(e2,e2),e0)**.
% 0.46/0.65 1072[4:Obv:1059.0] || -> SkC5*.
% 0.46/0.65 1073[4:MRR:12.0,1072.0] || -> equal(op(e2,e2),e1)**.
% 0.46/0.65 1116[4:Rew:1068.0,1073.0] || -> equal(e1,e0)**.
% 0.46/0.65 1117[4:MRR:1116.0,1.0] || -> .
% 0.46/0.65 1227[4:Spt:1117.0,1041.0,1044.0] || equal(op(e1,e1),e3)** -> .
% 0.46/0.65 1228[4:Spt:1117.0,1041.1,1041.2] || -> equal(op(e1,e1),e2)** equal(op(e1,e1),e0).
% 0.46/0.65 1231[4:MRR:828.1,1227.0] || -> equal(op(e1,e3),e3)** equal(op(e1,e2),e3).
% 0.46/0.65 1233[5:Spt:1228.0] || -> equal(op(e1,e1),e2)**.
% 0.46/0.65 1243[5:Rew:1233.0,8.1] || SkC1* -> equal(e2,e0).
% 0.46/0.65 1244[5:Rew:1233.0,53.0] || equal(op(e1,e3),e2)** -> .
% 0.46/0.65 1245[5:Rew:1233.0,52.0] || equal(op(e1,e2),e2)** -> .
% 0.46/0.65 1246[5:Rew:1233.0,49.0] || equal(op(e1,e0),e2)** -> .
% 0.46/0.65 1250[5:MRR:1243.1,2.0] || SkC1* -> .
% 0.46/0.65 1251[5:MRR:826.1,1250.0] || -> SkC2*.
% 0.46/0.65 1252[5:MRR:9.0,1251.0] || -> equal(op(e2,e2),e0)**.
% 0.46/0.65 1266[5:Rew:1252.0,12.1] || SkC5* -> equal(e1,e0).
% 0.46/0.65 1271[5:Rew:1252.0,34.0] || equal(op(e1,e2),e0)** -> .
% 0.46/0.65 1278[5:MRR:1266.1,1.0] || SkC5* -> .
% 0.46/0.65 1279[5:MRR:821.0,1278.0] || -> equal(op(e3,e3),e1)**.
% 0.46/0.65 1286[5:Rew:1279.0,155.0] || equal(e1,e1) equal(op(op(e3,e3),e3),e0) equal(op(op(e3,e3),op(e3,e3)),e2)** -> .
% 0.46/0.65 1288[5:Rew:1279.0,846.1] || equal(op(e3,e0),e2)** equal(e1,e1) -> .
% 0.46/0.65 1295[5:Rew:1279.0,63.0] || equal(op(e3,e0),e1)** -> .
% 0.46/0.65 1297[5:Rew:1279.0,41.0] || equal(op(e1,e3),e1)** -> .
% 0.46/0.65 1303[5:MRR:127.2,1244.0] || -> equal(op(e1,e3),e3)** equal(op(e1,e3),e1) equal(op(e1,e3),e0).
% 0.46/0.65 1304[5:MRR:128.0,1245.0] || -> equal(op(e1,e2),e1) equal(op(e1,e2),e3)** equal(op(e1,e2),e0).
% 0.46/0.65 1306[5:MRR:827.2,1246.0] || -> equal(op(e1,e0),e1)** equal(op(e1,e0),e0).
% 0.46/0.65 1319[5:MRR:831.2,1295.0] || -> equal(op(e3,e0),e0) equal(op(e3,e0),e2)**.
% 0.46/0.65 1324[5:Obv:1288.1] || equal(op(e3,e0),e2)** -> .
% 0.46/0.65 1332[5:MRR:1319.1,1324.0] || -> equal(op(e3,e0),e0)**.
% 0.46/0.65 1336[5:Rew:1332.0,23.0] || equal(op(e1,e0),e0)** -> .
% 0.46/0.65 1339[5:MRR:1306.1,1336.0] || -> equal(op(e1,e0),e1)**.
% 0.46/0.65 1341[5:Rew:1339.0,50.0] || equal(op(e1,e2),e1)** -> .
% 0.46/0.65 1349[5:MRR:1303.1,1297.0] || -> equal(op(e1,e3),e3)** equal(op(e1,e3),e0).
% 0.46/0.65 1350[5:MRR:1304.0,1304.2,1341.0,1271.0] || -> equal(op(e1,e2),e3)**.
% 0.46/0.65 1353[5:Rew:1350.0,54.0] || equal(op(e1,e3),e3)** -> .
% 0.46/0.65 1365[5:MRR:1349.0,1353.0] || -> equal(op(e1,e3),e0)**.
% 0.46/0.65 1416[5:Obv:1286.0] || equal(op(op(e3,e3),e3),e0) equal(op(op(e3,e3),op(e3,e3)),e2)** -> .
% 0.46/0.65 1417[5:Rew:1233.0,1416.1,1279.0,1416.1,1365.0,1416.0,1279.0,1416.0] || equal(e0,e0) equal(e2,e2)* -> .
% 0.46/0.65 1418[5:Obv:1417.1] || -> .
% 0.46/0.65 1422[5:Spt:1418.0,1228.0,1233.0] || equal(op(e1,e1),e2)** -> .
% 0.46/0.65 1423[5:Spt:1418.0,1228.1] || -> equal(op(e1,e1),e0)**.
% 0.46/0.65 1427[5:Rew:1423.0,14.1] || SkC7* -> equal(e2,e0).
% 0.46/0.65 1428[5:MRR:1427.1,2.0] || SkC7* -> .
% 0.46/0.65 1429[5:MRR:824.0,1428.0] || -> equal(op(e3,e3),e2)**.
% 0.46/0.65 1430[5:Rew:1429.0,821.1] || -> SkC5* equal(e2,e1).
% 0.46/0.65 1431[5:MRR:1430.1,4.0] || -> SkC5*.
% 0.46/0.65 1432[5:MRR:12.0,1431.0] || -> equal(op(e2,e2),e1)**.
% 0.46/0.65 1440[5:Rew:1423.0,25.0] || equal(op(e0,e1),e0)** -> .
% 0.46/0.65 1443[5:Rew:1423.0,49.0] || equal(op(e1,e0),e0)** -> .
% 0.46/0.65 1449[5:Rew:1432.0,36.0] || equal(op(e3,e2),e1)** -> .
% 0.46/0.65 1450[5:Rew:1432.0,56.0] || equal(op(e2,e0),e1)** -> .
% 0.46/0.65 1452[5:Rew:1432.0,60.0] || equal(op(e2,e3),e1)** -> .
% 0.46/0.65 1454[5:Rew:1429.0,39.0] || equal(op(e0,e3),e2)** -> .
% 0.46/0.65 1456[5:Rew:1429.0,42.0] || equal(op(e2,e3),e2)** -> .
% 0.46/0.65 1457[5:Rew:1429.0,63.0] || equal(op(e3,e0),e2)** -> .
% 0.46/0.65 1459[5:Rew:1429.0,66.0] || equal(op(e3,e2),e2)** -> .
% 0.46/0.65 1460[5:Rew:1429.0,844.1] || equal(op(e3,e0),e1)** equal(e2,e2) -> .
% 0.46/0.65 1461[5:Obv:1460.1] || equal(op(e3,e0),e1)** -> .
% 0.46/0.65 1471[5:MRR:842.1,1457.0] || -> equal(op(e2,e0),e2)** equal(op(e1,e0),e2).
% 0.46/0.65 1472[5:MRR:833.1,1440.0] || -> equal(op(e0,e1),e1) equal(op(e0,e1),e2)**.
% 0.46/0.65 1475[5:MRR:795.2,1443.0] || -> equal(op(e3,e0),e0)** equal(op(e2,e0),e0).
% 0.46/0.65 1479[5:MRR:840.1,840.2,1461.0,1450.0] || -> equal(op(e1,e0),e1)**.
% 0.46/0.65 1486[5:Rew:1479.0,1471.1] || -> equal(op(e2,e0),e2)** equal(e2,e1).
% 0.46/0.65 1487[5:MRR:1486.1,4.0] || -> equal(op(e2,e0),e2)**.
% 0.46/0.65 1493[5:Rew:1487.0,1475.1] || -> equal(op(e3,e0),e0)** equal(e2,e0).
% 0.46/0.65 1494[5:MRR:1493.1,2.0] || -> equal(op(e3,e0),e0)**.
% 0.46/0.65 1497[5:Rew:1494.0,62.0] || equal(op(e3,e2),e0)** -> .
% 0.46/0.65 1501[5:MRR:837.1,1454.0] || -> equal(op(e0,e3),e0) equal(op(e0,e3),e1)**.
% 0.46/0.65 1502[5:MRR:120.1,120.2,120.3,1459.0,1449.0,1497.0] || -> equal(op(e3,e2),e3)**.
% 0.46/0.65 1505[5:Rew:1502.0,35.0] || equal(op(e1,e2),e3)** -> .
% 0.46/0.65 1509[5:MRR:1231.1,1505.0] || -> equal(op(e1,e3),e3)**.
% 0.46/0.65 1513[5:Rew:1509.0,40.0] || equal(op(e2,e3),e3)** -> .
% 0.46/0.65 1523[5:MRR:123.0,123.1,123.2,1513.0,1456.0,1452.0] || -> equal(op(e2,e3),e0)**.
% 0.46/0.65 1526[5:Rew:1523.0,38.0] || equal(op(e0,e3),e0)** -> .
% 0.46/0.65 1529[5:MRR:1501.0,1526.0] || -> equal(op(e0,e3),e1)**.
% 0.46/0.65 1538[5:Rew:1529.0,47.0] || equal(op(e0,e1),e1)** -> .
% 0.46/0.65 1541[5:MRR:1472.0,1538.0] || -> equal(op(e0,e1),e2)**.
% 0.46/0.65 1578[5:Rew:1423.0,141.2,1541.0,141.1,1423.0,141.1,1423.0,141.0] || equal(e0,e0) equal(e2,e2) equal(op(e0,e0),e3)** -> .
% 0.46/0.65 1579[5:Obv:1578.1] || equal(op(e0,e0),e3)** -> .
% 0.46/0.65 1580[5:Rew:797.0,1579.0] || equal(e3,e3)* -> .
% 0.46/0.65 1581[5:Obv:1580.0] || -> .
% 0.46/0.65 1584[2:Spt:1581.0,794.0,797.0] || equal(op(e0,e0),e3)** -> .
% 0.46/0.65 1585[2:Spt:1581.0,794.1,794.2] || -> equal(op(e0,e0),e2)** equal(op(e0,e0),e1).
% 0.46/0.65 1586[2:MRR:16.1,1584.0] || SkC9* -> .
% 0.46/0.65 1587[2:MRR:169.2,1586.0] || -> SkC11 SkC10*.
% 0.46/0.65 1589[2:MRR:111.1,1584.0] || -> equal(op(e3,e0),e3)** equal(op(e2,e0),e3) equal(op(e1,e0),e3).
% 0.46/0.65 1590[3:Spt:1585.0] || -> equal(op(e0,e0),e2)**.
% 0.46/0.65 1593[3:Rew:1590.0,138.0] || equal(e2,e2) equal(op(op(e0,e0),e0),e3) equal(op(op(e0,e0),op(e0,e0)),e1)** -> .
% 0.46/0.65 1594[3:Rew:1590.0,148.0] || equal(e2,e2) equal(op(op(e0,e0),e0),e1) equal(op(op(e0,e0),op(e0,e0)),e3)** -> .
% 0.46/0.65 1595[3:Rew:1590.0,73.1] || SkC2* equal(e2,e2) -> .
% 0.46/0.65 1598[3:Rew:1590.0,115.1] || -> equal(op(e1,e0),e1) equal(e2,e1) equal(op(e3,e0),e1)** equal(op(e2,e0),e1).
% 0.46/0.65 1601[3:Rew:1590.0,10.1] || SkC3* -> equal(e2,e1).
% 0.46/0.65 1602[3:Rew:1590.0,45.0] || equal(op(e0,e3),e2)** -> .
% 0.46/0.65 1603[3:Rew:1590.0,44.0] || equal(op(e0,e2),e2)** -> .
% 0.46/0.65 1604[3:Rew:1590.0,43.0] || equal(op(e0,e1),e2)** -> .
% 0.46/0.65 1606[3:Rew:1590.0,20.0] || equal(op(e2,e0),e2)** -> .
% 0.46/0.65 1607[3:Rew:1590.0,19.0] || equal(op(e1,e0),e2)** -> .
% 0.46/0.65 1608[3:MRR:1601.1,4.0] || SkC3* -> .
% 0.46/0.65 1609[3:MRR:166.1,1608.0] || -> SkC5 equal(op(e3,e3),e1)**.
% 0.46/0.65 1610[3:MRR:171.2,1608.0] || equal(op(e1,e1),e3)** -> SkC5.
% 0.46/0.65 1611[3:Obv:1595.1] || SkC2* -> .
% 0.46/0.65 1612[3:MRR:167.0,1611.0] || -> SkC1 equal(op(e3,e3),e0)**.
% 0.46/0.65 1613[3:MRR:131.2,1602.0] || -> equal(op(e0,e3),e3)** equal(op(e0,e3),e0) equal(op(e0,e3),e1).
% 0.46/0.65 1615[3:MRR:132.0,1603.0] || -> equal(op(e0,e2),e0) equal(op(e0,e2),e3)** equal(op(e0,e2),e1).
% 0.46/0.65 1617[3:MRR:133.3,1604.0] || -> equal(op(e0,e1),e1) equal(op(e0,e1),e0) equal(op(e0,e1),e3)**.
% 0.46/0.65 1621[3:MRR:126.0,1606.0] || -> equal(op(e2,e0),e0) equal(op(e2,e0),e3)** equal(op(e2,e0),e1).
% 0.46/0.65 1624[3:MRR:106.3,1607.0] || -> equal(op(e1,e2),e2) equal(op(e1,e1),e2) equal(op(e1,e3),e2)**.
% 0.46/0.65 1625[3:MRR:1598.1,4.0] || -> equal(op(e1,e0),e1) equal(op(e3,e0),e1)** equal(op(e2,e0),e1).
% 0.46/0.65 1627[3:Obv:1593.0] || equal(op(op(e0,e0),e0),e3) equal(op(op(e0,e0),op(e0,e0)),e1)** -> .
% 0.46/0.65 1628[3:Rew:1590.0,1627.1,1590.0,1627.0] || equal(op(e2,e0),e3) equal(op(e2,e2),e1)** -> .
% 0.46/0.65 1629[3:Obv:1594.0] || equal(op(op(e0,e0),e0),e1) equal(op(op(e0,e0),op(e0,e0)),e3)** -> .
% 0.46/0.65 1630[3:Rew:1590.0,1629.1,1590.0,1629.0] || equal(op(e2,e0),e1) equal(op(e2,e2),e3)** -> .
% 0.46/0.65 1632[4:Spt:129.0] || -> equal(op(e1,e1),e1)**.
% 0.46/0.65 1643[4:Rew:1632.0,8.1] || SkC1* -> equal(e1,e0).
% 0.46/0.65 1649[4:Rew:1632.0,17.1] || SkC10* -> equal(e3,e1).
% 0.46/0.65 1659[4:MRR:1643.1,1.0] || SkC1* -> .
% 0.46/0.65 1660[4:MRR:1612.0,1659.0] || -> equal(op(e3,e3),e0)**.
% 0.46/0.65 1661[4:MRR:1649.1,5.0] || SkC10* -> .
% 0.46/0.65 1662[4:MRR:1587.1,1661.0] || -> SkC11*.
% 0.46/0.65 1663[4:MRR:18.0,1662.0] || -> equal(op(e2,e2),e3)**.
% 0.46/0.65 1665[4:Rew:1660.0,1609.1] || -> SkC5* equal(e1,e0).
% 0.46/0.65 1684[4:MRR:1665.1,1.0] || -> SkC5*.
% 0.46/0.65 1685[4:MRR:12.0,1684.0] || -> equal(op(e2,e2),e1)**.
% 0.46/0.65 1707[4:Rew:1663.0,1685.0] || -> equal(e3,e1)**.
% 0.46/0.65 1708[4:MRR:1707.0,5.0] || -> .
% 0.46/0.65 1820[4:Spt:1708.0,129.0,1632.0] || equal(op(e1,e1),e1)** -> .
% 0.46/0.65 1821[4:Spt:1708.0,129.1,129.2,129.3] || -> equal(op(e1,e1),e3)** equal(op(e1,e1),e2) equal(op(e1,e1),e0).
% 0.46/0.65 1824[5:Spt:1821.0] || -> equal(op(e1,e1),e3)**.
% 0.46/0.65 1828[5:Rew:1824.0,1610.0] || equal(e3,e3) -> SkC5*.
% 0.46/0.65 1833[5:Rew:1824.0,8.1] || SkC1* -> equal(e3,e0).
% 0.46/0.65 1840[5:Rew:1824.0,53.0] || equal(op(e1,e3),e3)** -> .
% 0.46/0.65 1841[5:Rew:1824.0,52.0] || equal(op(e1,e2),e3)** -> .
% 0.46/0.65 1842[5:Rew:1824.0,49.0] || equal(op(e1,e0),e3)** -> .
% 0.46/0.65 1846[5:Obv:1828.0] || -> SkC5*.
% 0.46/0.65 1847[5:MRR:12.0,1846.0] || -> equal(op(e2,e2),e1)**.
% 0.46/0.65 1848[5:MRR:1833.1,3.0] || SkC1* -> .
% 0.46/0.65 1849[5:MRR:1612.0,1848.0] || -> equal(op(e3,e3),e0)**.
% 0.46/0.65 1861[5:Rew:1847.0,1628.1] || equal(op(e2,e0),e3)** equal(e1,e1) -> .
% 0.46/0.65 1864[5:Rew:1847.0,56.0] || equal(op(e2,e0),e1)** -> .
% 0.46/0.65 1866[5:Rew:1847.0,34.0] || equal(op(e1,e2),e1)** -> .
% 0.46/0.65 1867[5:Rew:1847.0,32.0] || equal(op(e0,e2),e1)** -> .
% 0.46/0.65 1876[5:Rew:1849.0,149.0] || equal(e0,e0) equal(op(op(e3,e3),e3),e1) equal(op(op(e3,e3),op(e3,e3)),e2)** -> .
% 0.46/0.65 1891[5:Rew:1849.0,41.0] || equal(op(e1,e3),e0)** -> .
% 0.46/0.65 1892[5:Rew:1849.0,39.0] || equal(op(e0,e3),e0)** -> .
% 0.46/0.65 1897[5:MRR:127.0,1840.0] || -> equal(op(e1,e3),e1) equal(op(e1,e3),e2)** equal(op(e1,e3),e0).
% 0.46/0.65 1898[5:MRR:128.2,1841.0] || -> equal(op(e1,e2),e2)** equal(op(e1,e2),e1) equal(op(e1,e2),e0).
% 0.46/0.65 1900[5:MRR:1589.2,1842.0] || -> equal(op(e3,e0),e3)** equal(op(e2,e0),e3).
% 0.46/0.65 1909[5:MRR:1625.2,1864.0] || -> equal(op(e1,e0),e1) equal(op(e3,e0),e1)**.
% 0.46/0.65 1914[5:MRR:1615.2,1867.0] || -> equal(op(e0,e2),e0) equal(op(e0,e2),e3)**.
% 0.46/0.65 1917[5:MRR:1613.1,1892.0] || -> equal(op(e0,e3),e3)** equal(op(e0,e3),e1).
% 0.46/0.65 1919[5:Obv:1861.1] || equal(op(e2,e0),e3)** -> .
% 0.46/0.65 1920[5:MRR:1900.1,1919.0] || -> equal(op(e3,e0),e3)**.
% 0.46/0.65 1927[5:Rew:1920.0,1909.1] || -> equal(op(e1,e0),e1)** equal(e3,e1).
% 0.46/0.65 1928[5:MRR:1927.1,5.0] || -> equal(op(e1,e0),e1)**.
% 0.46/0.65 1931[5:Rew:1928.0,51.0] || equal(op(e1,e3),e1)** -> .
% 0.46/0.65 1946[5:MRR:1897.0,1897.2,1931.0,1891.0] || -> equal(op(e1,e3),e2)**.
% 0.46/0.65 1947[5:Rew:1946.0,54.0] || equal(op(e1,e2),e2)** -> .
% 0.46/0.65 1967[5:MRR:1898.0,1898.1,1947.0,1866.0] || -> equal(op(e1,e2),e0)**.
% 0.46/0.65 1968[5:Rew:1967.0,31.0] || equal(op(e0,e2),e0)** -> .
% 0.46/0.65 1972[5:MRR:1914.0,1968.0] || -> equal(op(e0,e2),e3)**.
% 0.46/0.65 1976[5:Rew:1972.0,48.0] || equal(op(e0,e3),e3)** -> .
% 0.46/0.65 1986[5:MRR:1917.0,1976.0] || -> equal(op(e0,e3),e1)**.
% 0.46/0.65 2013[5:Obv:1876.0] || equal(op(op(e3,e3),e3),e1) equal(op(op(e3,e3),op(e3,e3)),e2)** -> .
% 0.46/0.65 2014[5:Rew:1849.0,2013.1,1986.0,2013.0,1849.0,2013.0] || equal(e1,e1) equal(op(e0,e0),e2)** -> .
% 0.46/0.65 2015[5:Obv:2014.0] || equal(op(e0,e0),e2)** -> .
% 0.46/0.65 2016[5:Rew:1590.0,2015.0] || equal(e2,e2)* -> .
% 0.46/0.65 2017[5:Obv:2016.0] || -> .
% 0.46/0.65 2018[5:Spt:2017.0,1821.0,1824.0] || equal(op(e1,e1),e3)** -> .
% 0.46/0.65 2019[5:Spt:2017.0,1821.1,1821.2] || -> equal(op(e1,e1),e2)** equal(op(e1,e1),e0).
% 0.46/0.65 2020[5:MRR:17.1,2018.0] || SkC10* -> .
% 0.46/0.65 2021[5:MRR:1587.1,2020.0] || -> SkC11*.
% 0.46/0.65 2022[5:MRR:18.0,2021.0] || -> equal(op(e2,e2),e3)**.
% 0.46/0.65 2023[5:Rew:2022.0,12.1] || SkC5* -> equal(e3,e1).
% 0.46/0.65 2024[5:MRR:2023.1,5.0] || SkC5* -> .
% 0.46/0.65 2025[5:MRR:1609.0,2024.0] || -> equal(op(e3,e3),e1)**.
% 0.46/0.65 2026[5:Rew:2025.0,1612.1] || -> SkC1* equal(e1,e0).
% 0.46/0.65 2028[5:MRR:2026.1,1.0] || -> SkC1*.
% 0.46/0.65 2029[5:MRR:8.0,2028.0] || -> equal(op(e1,e1),e0)**.
% 0.46/0.66 2036[5:Rew:2029.0,25.0] || equal(op(e0,e1),e0)** -> .
% 0.46/0.66 2043[5:Rew:2022.0,32.0] || equal(op(e0,e2),e3)** -> .
% 0.46/0.66 2045[5:Rew:2022.0,36.0] || equal(op(e3,e2),e3)** -> .
% 0.46/0.66 2046[5:Rew:2022.0,56.0] || equal(op(e2,e0),e3)** -> .
% 0.46/0.66 2048[5:Rew:2022.0,60.0] || equal(op(e2,e3),e3)** -> .
% 0.46/0.66 2051[5:Rew:2025.0,42.0] || equal(op(e2,e3),e1)** -> .
% 0.46/0.66 2054[5:Rew:2025.0,66.0] || equal(op(e3,e2),e1)** -> .
% 0.46/0.66 2056[5:Rew:2022.0,1630.1] || equal(op(e2,e0),e1)** equal(e3,e3) -> .
% 0.46/0.66 2057[5:Obv:2056.1] || equal(op(e2,e0),e1)** -> .
% 0.46/0.66 2060[5:Rew:2029.0,1624.1] || -> equal(op(e1,e2),e2) equal(e2,e0) equal(op(e1,e3),e2)**.
% 0.46/0.66 2061[5:MRR:2060.1,2.0] || -> equal(op(e1,e2),e2) equal(op(e1,e3),e2)**.
% 0.46/0.66 2073[5:MRR:1617.1,2036.0] || -> equal(op(e0,e1),e1) equal(op(e0,e1),e3)**.
% 0.46/0.66 2075[5:MRR:1621.1,1621.2,2046.0,2057.0] || -> equal(op(e2,e0),e0)**.
% 0.46/0.66 2080[5:Rew:2075.0,57.0] || equal(op(e2,e3),e0)** -> .
% 0.46/0.66 2097[5:MRR:1615.1,2043.0] || -> equal(op(e0,e2),e0) equal(op(e0,e2),e1)**.
% 0.46/0.66 2101[5:MRR:120.0,120.2,2045.0,2054.0] || -> equal(op(e3,e2),e2)** equal(op(e3,e2),e0).
% 0.46/0.66 2102[5:MRR:123.0,123.2,123.3,2048.0,2051.0,2080.0] || -> equal(op(e2,e3),e2)**.
% 0.46/0.66 2105[5:Rew:2102.0,40.0] || equal(op(e1,e3),e2)** -> .
% 0.46/0.66 2109[5:MRR:2061.1,2105.0] || -> equal(op(e1,e2),e2)**.
% 0.46/0.66 2113[5:Rew:2109.0,35.0] || equal(op(e3,e2),e2)** -> .
% 0.46/0.66 2123[5:MRR:2101.0,2113.0] || -> equal(op(e3,e2),e0)**.
% 0.46/0.66 2126[5:Rew:2123.0,33.0] || equal(op(e0,e2),e0)** -> .
% 0.46/0.66 2129[5:MRR:2097.0,2126.0] || -> equal(op(e0,e2),e1)**.
% 0.46/0.66 2134[5:Rew:2129.0,46.0] || equal(op(e0,e1),e1)** -> .
% 0.46/0.66 2142[5:MRR:2073.0,2134.0] || -> equal(op(e0,e1),e3)**.
% 0.46/0.66 2180[5:Rew:2029.0,135.2,2142.0,135.1,2029.0,135.1,2029.0,135.0] || equal(e0,e0) equal(e3,e3) equal(op(e0,e0),e2)** -> .
% 0.46/0.66 2181[5:Obv:2180.1] || equal(op(e0,e0),e2)** -> .
% 0.46/0.66 2182[5:Rew:1590.0,2181.0] || equal(e2,e2)* -> .
% 0.46/0.66 2183[5:Obv:2182.0] || -> .
% 0.46/0.66 2189[3:Spt:2183.0,1585.0,1590.0] || equal(op(e0,e0),e2)** -> .
% 0.46/0.66 2190[3:Spt:2183.0,1585.1] || -> equal(op(e0,e0),e1)**.
% 0.46/0.66 2194[3:Rew:2190.0,13.1] || SkC6* -> equal(e2,e1).
% 0.46/0.66 2195[3:MRR:2194.1,4.0] || SkC6* -> .
% 0.46/0.66 2196[3:MRR:165.1,2195.0] || -> SkC7 equal(op(e3,e3),e2)**.
% 0.46/0.66 2197[3:MRR:170.2,2195.0] || equal(op(e2,e2),e3)** -> SkC7.
% 0.46/0.66 2198[3:Rew:2190.0,19.0] || equal(op(e1,e0),e1)** -> .
% 0.46/0.66 2202[3:Rew:2190.0,44.0] || equal(op(e0,e2),e1)** -> .
% 0.46/0.66 2204[3:Rew:2190.0,72.1] || SkC1* equal(e1,e1) -> .
% 0.46/0.66 2205[3:Obv:2204.1] || SkC1* -> .
% 0.46/0.66 2206[3:MRR:167.1,2205.0] || -> SkC2 equal(op(e3,e3),e0)**.
% 0.46/0.66 2208[3:MRR:130.0,2198.0] || -> equal(op(e1,e0),e0) equal(op(e1,e0),e3)** equal(op(e1,e0),e2).
% 0.46/0.66 2212[3:MRR:132.3,2202.0] || -> equal(op(e0,e2),e2) equal(op(e0,e2),e0) equal(op(e0,e2),e3)**.
% 0.46/0.66 2214[3:Rew:2190.0,113.1] || -> equal(op(e2,e0),e2) equal(e2,e1) equal(op(e3,e0),e2)** equal(op(e1,e0),e2).
% 0.46/0.66 2215[3:MRR:2214.1,4.0] || -> equal(op(e2,e0),e2) equal(op(e3,e0),e2)** equal(op(e1,e0),e2).
% 0.46/0.66 2226[3:Rew:2190.0,136.2,2190.0,136.1,2190.0,136.0] || equal(e1,e1) equal(op(e1,e0),e3) equal(op(e1,e1),e2)** -> .
% 0.46/0.66 2227[3:Obv:2226.0] || equal(op(e1,e0),e3) equal(op(e1,e1),e2)** -> .
% 0.46/0.66 2228[3:Rew:2190.0,142.2,2190.0,142.1,2190.0,142.0] || equal(e1,e1) equal(op(e1,e0),e2) equal(op(e1,e1),e3)** -> .
% 0.46/0.66 2229[3:Obv:2228.0] || equal(op(e1,e0),e2) equal(op(e1,e1),e3)** -> .
% 0.46/0.66 2231[4:Spt:129.0] || -> equal(op(e1,e1),e1)**.
% 0.46/0.66 2238[4:Rew:2231.0,17.1] || SkC10* -> equal(e3,e1).
% 0.46/0.66 2245[4:Rew:2231.0,14.1] || SkC7* -> equal(e2,e1).
% 0.46/0.66 2257[4:MRR:2238.1,5.0] || SkC10* -> .
% 0.46/0.66 2258[4:MRR:1587.1,2257.0] || -> SkC11*.
% 0.46/0.66 2259[4:MRR:18.0,2258.0] || -> equal(op(e2,e2),e3)**.
% 0.46/0.66 2261[4:MRR:2245.1,4.0] || SkC7* -> .
% 0.46/0.66 2263[4:MRR:2197.1,2261.0] || equal(op(e2,e2),e3)** -> .
% 0.46/0.66 2314[4:Rew:2259.0,2263.0] || equal(e3,e3)* -> .
% 0.46/0.66 2315[4:Obv:2314.0] || -> .
% 0.46/0.66 2376[4:Spt:2315.0,129.0,2231.0] || equal(op(e1,e1),e1)** -> .
% 0.46/0.66 2377[4:Spt:2315.0,129.1,129.2,129.3] || -> equal(op(e1,e1),e3)** equal(op(e1,e1),e2) equal(op(e1,e1),e0).
% 0.46/0.66 2380[5:Spt:2377.0] || -> equal(op(e1,e1),e3)**.
% 0.46/0.66 2388[5:Rew:2380.0,14.1] || SkC7* -> equal(e3,e2).
% 0.46/0.66 2391[5:Rew:2380.0,2229.1] || equal(op(e1,e0),e2)** equal(e3,e3) -> .
% 0.46/0.66 2398[5:Rew:2380.0,53.0] || equal(op(e1,e3),e3)** -> .
% 0.46/0.66 2399[5:Rew:2380.0,52.0] || equal(op(e1,e2),e3)** -> .
% 0.46/0.66 2400[5:Rew:2380.0,49.0] || equal(op(e1,e0),e3)** -> .
% 0.46/0.66 2404[5:MRR:2388.1,6.0] || SkC7* -> .
% 0.46/0.66 2405[5:MRR:2196.0,2404.0] || -> equal(op(e3,e3),e2)**.
% 0.46/0.66 2414[5:Rew:2405.0,2206.1] || -> SkC2* equal(e2,e0).
% 0.46/0.66 2425[5:Rew:2405.0,41.0] || equal(op(e1,e3),e2)** -> .
% 0.46/0.66 2429[5:MRR:2414.1,2.0] || -> SkC2*.
% 0.46/0.66 2430[5:MRR:9.0,2429.0] || -> equal(op(e2,e2),e0)**.
% 0.46/0.66 2438[5:Rew:2430.0,137.0] || equal(e0,e0) equal(op(op(e2,e2),e2),e3) equal(op(op(e2,e2),op(e2,e2)),e1)** -> .
% 0.46/0.66 2448[5:Rew:2430.0,34.0] || equal(op(e1,e2),e0)** -> .
% 0.46/0.66 2449[5:Rew:2430.0,32.0] || equal(op(e0,e2),e0)** -> .
% 0.46/0.66 2457[5:MRR:127.0,2398.0] || -> equal(op(e1,e3),e1) equal(op(e1,e3),e2)** equal(op(e1,e3),e0).
% 0.46/0.66 2458[5:MRR:128.2,2399.0] || -> equal(op(e1,e2),e2)** equal(op(e1,e2),e1) equal(op(e1,e2),e0).
% 0.46/0.66 2459[5:MRR:2208.1,2400.0] || -> equal(op(e1,e0),e0) equal(op(e1,e0),e2)**.
% 0.46/0.66 2476[5:MRR:2212.1,2449.0] || -> equal(op(e0,e2),e2) equal(op(e0,e2),e3)**.
% 0.46/0.66 2477[5:Obv:2391.1] || equal(op(e1,e0),e2)** -> .
% 0.46/0.66 2478[5:MRR:2459.1,2477.0] || -> equal(op(e1,e0),e0)**.
% 0.46/0.66 2480[5:Rew:2478.0,51.0] || equal(op(e1,e3),e0)** -> .
% 0.46/0.66 2504[5:MRR:2457.1,2457.2,2425.0,2480.0] || -> equal(op(e1,e3),e1)**.
% 0.46/0.66 2505[5:Rew:2504.0,54.0] || equal(op(e1,e2),e1)** -> .
% 0.46/0.66 2525[5:MRR:2458.1,2458.2,2505.0,2448.0] || -> equal(op(e1,e2),e2)**.
% 0.46/0.66 2526[5:Rew:2525.0,31.0] || equal(op(e0,e2),e2)** -> .
% 0.46/0.66 2531[5:MRR:2476.0,2526.0] || -> equal(op(e0,e2),e3)**.
% 0.46/0.66 2569[5:Obv:2438.0] || equal(op(op(e2,e2),e2),e3) equal(op(op(e2,e2),op(e2,e2)),e1)** -> .
% 0.46/0.66 2570[5:Rew:2430.0,2569.1,2531.0,2569.0,2430.0,2569.0] || equal(e3,e3) equal(op(e0,e0),e1)** -> .
% 0.46/0.66 2571[5:Obv:2570.0] || equal(op(e0,e0),e1)** -> .
% 0.46/0.66 2572[5:Rew:2190.0,2571.0] || equal(e1,e1)* -> .
% 0.46/0.66 2573[5:Obv:2572.0] || -> .
% 0.46/0.66 2574[5:Spt:2573.0,2377.0,2380.0] || equal(op(e1,e1),e3)** -> .
% 0.46/0.66 2575[5:Spt:2573.0,2377.1,2377.2] || -> equal(op(e1,e1),e2)** equal(op(e1,e1),e0).
% 0.46/0.66 2576[5:MRR:17.1,2574.0] || SkC10* -> .
% 0.46/0.66 2577[5:MRR:1587.1,2576.0] || -> SkC11*.
% 0.46/0.66 2578[5:MRR:18.0,2577.0] || -> equal(op(e2,e2),e3)**.
% 0.46/0.66 2579[5:Rew:2578.0,2197.0] || equal(e3,e3) -> SkC7*.
% 0.46/0.66 2580[5:Rew:2578.0,9.1] || SkC2* -> equal(e3,e0).
% 0.46/0.66 2582[5:Obv:2579.0] || -> SkC7*.
% 0.46/0.66 2583[5:MRR:14.0,2582.0] || -> equal(op(e1,e1),e2)**.
% 0.46/0.66 2584[5:MRR:2580.1,3.0] || SkC2* -> .
% 0.46/0.66 2585[5:MRR:2206.0,2584.0] || -> equal(op(e3,e3),e0)**.
% 0.46/0.66 2593[5:Rew:2583.0,28.0] || equal(op(e2,e1),e2)** -> .
% 0.46/0.66 2595[5:Rew:2583.0,49.0] || equal(op(e1,e0),e2)** -> .
% 0.46/0.66 2602[5:Rew:2585.0,42.0] || equal(op(e2,e3),e0)** -> .
% 0.46/0.66 2610[5:Rew:2578.0,56.0] || equal(op(e2,e0),e3)** -> .
% 0.46/0.66 2611[5:Rew:2578.0,58.0] || equal(op(e2,e1),e3)** -> .
% 0.46/0.66 2612[5:Rew:2578.0,60.0] || equal(op(e2,e3),e3)** -> .
% 0.46/0.66 2613[5:Rew:2583.0,2227.1] || equal(op(e1,e0),e3)** equal(e2,e2) -> .
% 0.46/0.66 2614[5:Obv:2613.1] || equal(op(e1,e0),e3)** -> .
% 0.46/0.66 2623[5:MRR:1589.1,1589.2,2610.0,2614.0] || -> equal(op(e3,e0),e3)**.
% 0.46/0.66 2630[5:MRR:2208.1,2208.2,2614.0,2595.0] || -> equal(op(e1,e0),e0)**.
% 0.46/0.66 2639[5:Rew:2630.0,2215.2,2623.0,2215.1] || -> equal(op(e2,e0),e2)** equal(e3,e2) equal(e2,e0).
% 0.46/0.66 2640[5:MRR:2639.1,2639.2,6.0,2.0] || -> equal(op(e2,e0),e2)**.
% 0.46/0.66 2643[5:Rew:2640.0,57.0] || equal(op(e2,e3),e2)** -> .
% 0.46/0.66 2650[5:MRR:123.0,123.1,123.3,2612.0,2643.0,2602.0] || -> equal(op(e2,e3),e1)**.
% 0.46/0.66 2654[5:Rew:2650.0,59.0] || equal(op(e2,e1),e1)** -> .
% 0.46/0.66 2694[5:MRR:125.0,125.1,125.2,2593.0,2654.0,2611.0] || -> equal(op(e2,e1),e0)**.
% 0.46/0.66 2724[5:Rew:2578.0,154.2,2583.0,154.2,2694.0,154.1,2583.0,154.1,2583.0,154.0] || equal(e2,e2) equal(e0,e0) equal(e3,e3)* -> .
% 0.46/0.66 2725[5:Obv:2724.2] || -> .
% 0.46/0.66 % SZS output end Refutation
% 0.46/0.66 Formulae used in the proof : ax4 ax5 ax3 ax2 ax1 ax29 ax28 ax27 ax26 ax23 ax22 ax20 ax16 ax15 ax14 ax10 ax9
% 0.46/0.66
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