TSTP Solution File: ALG110+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG110+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 18:02:29 EDT 2022
% Result : Theorem 0.41s 0.58s
% Output : Refutation 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG110+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 8 12:33:06 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.41/0.58
% 0.41/0.58 SPASS V 3.9
% 0.41/0.58 SPASS beiseite: Proof found.
% 0.41/0.58 % SZS status Theorem
% 0.41/0.58 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/0.58 SPASS derived 393 clauses, backtracked 275 clauses, performed 2 splits and kept 727 clauses.
% 0.41/0.58 SPASS allocated 86302 KBytes.
% 0.41/0.58 SPASS spent 0:00:00.24 on the problem.
% 0.41/0.58 0:00:00.04 for the input.
% 0.41/0.58 0:00:00.09 for the FLOTTER CNF translation.
% 0.41/0.58 0:00:00.00 for inferences.
% 0.41/0.58 0:00:00.00 for the backtracking.
% 0.41/0.58 0:00:00.08 for the reduction.
% 0.41/0.58
% 0.41/0.58
% 0.41/0.58 Here is a proof with depth 1, length 386 :
% 0.41/0.58 % SZS output start Refutation
% 0.41/0.58 1[0:Inp] || equal(e11,e10)** -> .
% 0.41/0.58 2[0:Inp] || equal(e12,e10)** -> .
% 0.41/0.58 3[0:Inp] || equal(e13,e10)** -> .
% 0.41/0.58 4[0:Inp] || equal(e12,e11)** -> .
% 0.41/0.58 5[0:Inp] || equal(e13,e11)** -> .
% 0.41/0.58 6[0:Inp] || equal(e13,e12)** -> .
% 0.41/0.58 7[0:Inp] || equal(e21,e20)** -> .
% 0.41/0.58 9[0:Inp] || equal(e23,e20)** -> .
% 0.41/0.58 10[0:Inp] || equal(e22,e21)** -> .
% 0.41/0.58 11[0:Inp] || equal(e23,e21)** -> .
% 0.41/0.58 12[0:Inp] || equal(e23,e22)** -> .
% 0.41/0.58 30[0:Inp] || -> equal(h2(e12),e21)**.
% 0.41/0.58 33[0:Inp] || -> equal(op1(e12,e12),e13)**.
% 0.41/0.58 34[0:Inp] || -> equal(op2(e22,e22),e23)**.
% 0.41/0.58 50[0:Inp] || equal(h2(e13),e20)** -> SkC27.
% 0.41/0.58 53[0:Inp] || equal(h2(e12),e21)** -> SkC28.
% 0.41/0.58 56[0:Inp] || equal(h2(e11),e22)** -> SkC29.
% 0.41/0.58 83[0:Inp] || -> equal(op2(e20,e20),h1(e13))**.
% 0.41/0.58 84[0:Inp] || -> equal(op2(e21,e21),h2(e13))**.
% 0.41/0.58 86[0:Inp] || -> equal(op2(e23,e23),h4(e13))**.
% 0.41/0.58 87[0:Inp] || SkC0 -> equal(op1(e10,e10),e10)**.
% 0.41/0.58 88[0:Inp] || SkC1 -> equal(op1(e11,e10),e11)**.
% 0.41/0.58 89[0:Inp] || SkC2 -> equal(op1(e12,e10),e12)**.
% 0.41/0.58 90[0:Inp] || SkC3 -> equal(op1(e10,e11),e10)**.
% 0.41/0.58 91[0:Inp] || SkC4 -> equal(op1(e11,e11),e11)**.
% 0.41/0.58 92[0:Inp] || SkC5 -> equal(op1(e12,e11),e12)**.
% 0.41/0.58 93[0:Inp] || SkC6 -> equal(op1(e10,e12),e10)**.
% 0.41/0.58 94[0:Inp] || SkC7 -> equal(op1(e11,e12),e11)**.
% 0.41/0.58 95[0:Inp] || SkC8 -> equal(op1(e12,e12),e12)**.
% 0.41/0.58 96[0:Inp] || SkC9 -> equal(op1(e10,e13),e10)**.
% 0.41/0.58 97[0:Inp] || SkC10 -> equal(op1(e11,e13),e11)**.
% 0.41/0.58 98[0:Inp] || SkC11 -> equal(op1(e12,e13),e12)**.
% 0.41/0.58 99[0:Inp] || SkC12 -> equal(op2(e20,e20),e20)**.
% 0.41/0.58 100[0:Inp] || SkC13 -> equal(op2(e21,e20),e21)**.
% 0.41/0.58 101[0:Inp] || SkC14 -> equal(op2(e22,e20),e22)**.
% 0.41/0.58 102[0:Inp] || SkC15 -> equal(op2(e20,e21),e20)**.
% 0.41/0.58 103[0:Inp] || SkC16 -> equal(op2(e21,e21),e21)**.
% 0.41/0.58 104[0:Inp] || SkC17 -> equal(op2(e22,e21),e22)**.
% 0.41/0.58 105[0:Inp] || SkC18 -> equal(op2(e20,e22),e20)**.
% 0.41/0.58 106[0:Inp] || SkC19 -> equal(op2(e21,e22),e21)**.
% 0.41/0.58 107[0:Inp] || SkC20 -> equal(op2(e22,e22),e22)**.
% 0.41/0.58 108[0:Inp] || SkC21 -> equal(op2(e20,e23),e20)**.
% 0.41/0.58 109[0:Inp] || SkC22 -> equal(op2(e21,e23),e21)**.
% 0.41/0.58 110[0:Inp] || SkC23 -> equal(op2(e22,e23),e22)**.
% 0.41/0.58 114[0:Inp] || equal(op1(e12,e10),op1(e11,e10))** -> .
% 0.41/0.58 115[0:Inp] || equal(op1(e13,e10),op1(e11,e10))** -> .
% 0.41/0.58 117[0:Inp] || equal(op1(e11,e11),op1(e10,e11))** -> .
% 0.41/0.58 118[0:Inp] || equal(op1(e12,e11),op1(e10,e11))** -> .
% 0.41/0.58 119[0:Inp] || equal(op1(e13,e11),op1(e10,e11))** -> .
% 0.41/0.58 120[0:Inp] || equal(op1(e12,e11),op1(e11,e11))** -> .
% 0.41/0.58 123[0:Inp] || equal(op1(e11,e12),op1(e10,e12))** -> .
% 0.41/0.58 124[0:Inp] || equal(op1(e12,e12),op1(e10,e12))** -> .
% 0.41/0.58 126[0:Inp] || equal(op1(e12,e12),op1(e11,e12))** -> .
% 0.41/0.58 128[0:Inp] || equal(op1(e13,e12),op1(e12,e12))** -> .
% 0.41/0.58 129[0:Inp] || equal(op1(e11,e13),op1(e10,e13))** -> .
% 0.41/0.58 131[0:Inp] || equal(op1(e13,e13),op1(e10,e13))** -> .
% 0.41/0.58 138[0:Inp] || equal(op1(e10,e12),op1(e10,e11))** -> .
% 0.41/0.58 139[0:Inp] || equal(op1(e10,e13),op1(e10,e11))** -> .
% 0.41/0.58 140[0:Inp] || equal(op1(e10,e13),op1(e10,e12))** -> .
% 0.41/0.58 142[0:Inp] || equal(op1(e11,e12),op1(e11,e10))** -> .
% 0.41/0.58 145[0:Inp] || equal(op1(e11,e13),op1(e11,e11))** -> .
% 0.41/0.58 147[0:Inp] || equal(op1(e12,e11),op1(e12,e10))** -> .
% 0.41/0.58 148[0:Inp] || equal(op1(e12,e12),op1(e12,e10))** -> .
% 0.41/0.58 149[0:Inp] || equal(op1(e12,e13),op1(e12,e10))** -> .
% 0.41/0.58 150[0:Inp] || equal(op1(e12,e12),op1(e12,e11))** -> .
% 0.41/0.58 151[0:Inp] || equal(op1(e12,e13),op1(e12,e11))** -> .
% 0.41/0.58 153[0:Inp] || equal(op1(e13,e11),op1(e13,e10))** -> .
% 0.41/0.58 155[0:Inp] || equal(op1(e13,e13),op1(e13,e10))** -> .
% 0.41/0.58 157[0:Inp] || equal(op1(e13,e13),op1(e13,e11))** -> .
% 0.41/0.58 158[0:Inp] || equal(op1(e13,e13),op1(e13,e12))** -> .
% 0.41/0.58 159[0:Inp] || equal(op2(e21,e20),op2(e20,e20))** -> .
% 0.41/0.58 161[0:Inp] || equal(op2(e23,e20),op2(e20,e20))** -> .
% 0.41/0.58 162[0:Inp] || equal(op2(e22,e20),op2(e21,e20))** -> .
% 0.41/0.58 163[0:Inp] || equal(op2(e23,e20),op2(e21,e20))** -> .
% 0.41/0.58 166[0:Inp] || equal(op2(e22,e21),op2(e20,e21))** -> .
% 0.41/0.58 171[0:Inp] || equal(op2(e21,e22),op2(e20,e22))** -> .
% 0.41/0.58 174[0:Inp] || equal(op2(e22,e22),op2(e21,e22))** -> .
% 0.41/0.58 176[0:Inp] || equal(op2(e23,e22),op2(e22,e22))** -> .
% 0.41/0.58 177[0:Inp] || equal(op2(e21,e23),op2(e20,e23))** -> .
% 0.41/0.58 179[0:Inp] || equal(op2(e23,e23),op2(e20,e23))** -> .
% 0.41/0.58 183[0:Inp] || equal(op2(e20,e21),op2(e20,e20))** -> .
% 0.41/0.58 185[0:Inp] || equal(op2(e20,e23),op2(e20,e20))** -> .
% 0.41/0.58 187[0:Inp] || equal(op2(e20,e23),op2(e20,e21))** -> .
% 0.41/0.58 188[0:Inp] || equal(op2(e20,e23),op2(e20,e22))** -> .
% 0.41/0.58 190[0:Inp] || equal(op2(e21,e22),op2(e21,e20))** -> .
% 0.41/0.58 191[0:Inp] || equal(op2(e21,e23),op2(e21,e20))** -> .
% 0.41/0.58 193[0:Inp] || equal(op2(e21,e23),op2(e21,e21))** -> .
% 0.41/0.58 195[0:Inp] || equal(op2(e22,e21),op2(e22,e20))** -> .
% 0.41/0.58 196[0:Inp] || equal(op2(e22,e22),op2(e22,e20))** -> .
% 0.41/0.58 197[0:Inp] || equal(op2(e22,e23),op2(e22,e20))** -> .
% 0.41/0.58 198[0:Inp] || equal(op2(e22,e22),op2(e22,e21))** -> .
% 0.41/0.58 199[0:Inp] || equal(op2(e22,e23),op2(e22,e21))** -> .
% 0.41/0.58 201[0:Inp] || equal(op2(e23,e21),op2(e23,e20))** -> .
% 0.41/0.58 203[0:Inp] || equal(op2(e23,e23),op2(e23,e20))** -> .
% 0.41/0.58 205[0:Inp] || equal(op2(e23,e23),op2(e23,e21))** -> .
% 0.41/0.58 207[0:Inp] || -> equal(op1(e13,e10),e13)** SkC0 SkC1 SkC2.
% 0.41/0.58 208[0:Inp] || -> equal(op1(e13,e11),e13)** SkC3 SkC4 SkC5.
% 0.41/0.58 209[0:Inp] || -> equal(op1(e13,e12),e13)** SkC6 SkC7 SkC8.
% 0.41/0.58 210[0:Inp] || -> equal(op1(e13,e13),e13)** SkC9 SkC10 SkC11.
% 0.41/0.58 211[0:Inp] || equal(op1(e10,e10),e10)** SkC0 -> .
% 0.41/0.58 212[0:Inp] || SkC1 equal(op1(e10,e11),e10)** -> .
% 0.41/0.58 214[0:Inp] || SkC3 equal(op1(e11,e10),e11)** -> .
% 0.41/0.58 215[0:Inp] || equal(op1(e11,e11),e11)** SkC4 -> .
% 0.41/0.58 223[0:Inp] || -> equal(op2(e23,e20),e23)** SkC12 SkC13 SkC14.
% 0.41/0.58 224[0:Inp] || -> equal(op2(e23,e21),e23)** SkC15 SkC16 SkC17.
% 0.41/0.58 225[0:Inp] || -> equal(op2(e23,e22),e23)** SkC18 SkC19 SkC20.
% 0.41/0.58 226[0:Inp] || -> equal(op2(e23,e23),e23)** SkC21 SkC22 SkC23.
% 0.41/0.58 227[0:Inp] || equal(op2(e20,e20),e20)** SkC12 -> .
% 0.41/0.58 228[0:Inp] || SkC13 equal(op2(e20,e21),e20)** -> .
% 0.41/0.58 230[0:Inp] || SkC15 equal(op2(e21,e20),e21)** -> .
% 0.41/0.58 231[0:Inp] || equal(op2(e21,e21),e21)** SkC16 -> .
% 0.41/0.58 247[0:Inp] || -> equal(op1(op1(e12,e12),op1(e12,e12)),e10)**.
% 0.41/0.58 248[0:Inp] || -> equal(op2(op2(e22,e22),op2(e22,e22)),e20)**.
% 0.41/0.58 250[0:Inp] || -> equal(op2(op2(e21,e21),op2(e21,e21)),h2(e10))**.
% 0.41/0.58 253[0:Inp] || -> equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),e11)**.
% 0.41/0.58 254[0:Inp] || -> equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),e21)**.
% 0.41/0.58 256[0:Inp] || -> equal(op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21)),h2(e11))**.
% 0.41/0.58 258[0:Inp] || -> equal(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),h4(e11))**.
% 0.41/0.58 259[0:Inp] || -> equal(op2(e20,e23),e23) equal(op2(e21,e23),e23) equal(op2(e22,e23),e23) equal(op2(e23,e23),e23)**.
% 0.41/0.58 271[0:Inp] || -> equal(op2(e20,e22),e21) equal(op2(e21,e22),e21) equal(op2(e22,e22),e21) equal(op2(e23,e22),e21)**.
% 0.41/0.58 272[0:Inp] || -> equal(op2(e22,e20),e21) equal(op2(e22,e21),e21) equal(op2(e22,e22),e21) equal(op2(e22,e23),e21)**.
% 0.41/0.58 275[0:Inp] || -> equal(op2(e20,e21),e23) equal(op2(e21,e21),e23) equal(op2(e22,e21),e23) equal(op2(e23,e21),e23)**.
% 0.41/0.58 281[0:Inp] || -> equal(op2(e20,e21),e20) equal(op2(e21,e21),e20) equal(op2(e22,e21),e20) equal(op2(e23,e21),e20)**.
% 0.41/0.58 283[0:Inp] || -> equal(op2(e20,e20),e23) equal(op2(e21,e20),e23) equal(op2(e22,e20),e23) equal(op2(e23,e20),e23)**.
% 0.41/0.58 294[0:Inp] || -> equal(op2(e23,e20),e20) equal(op2(e23,e20),e21) equal(op2(e23,e20),e22) equal(op2(e23,e20),e23)**.
% 0.41/0.58 297[0:Inp] || -> equal(op2(e22,e21),e20) equal(op2(e22,e21),e21) equal(op2(e22,e21),e22) equal(op2(e22,e21),e23)**.
% 0.41/0.58 298[0:Inp] || -> equal(op2(e22,e20),e20) equal(op2(e22,e20),e21) equal(op2(e22,e20),e22) equal(op2(e22,e20),e23)**.
% 0.41/0.58 300[0:Inp] || -> equal(op2(e21,e22),e20) equal(op2(e21,e22),e21) equal(op2(e21,e22),e22) equal(op2(e21,e22),e23)**.
% 0.41/0.58 302[0:Inp] || -> equal(op2(e21,e20),e20) equal(op2(e21,e20),e21) equal(op2(e21,e20),e22) equal(op2(e21,e20),e23)**.
% 0.41/0.58 305[0:Inp] || -> equal(op2(e20,e21),e20) equal(op2(e20,e21),e21) equal(op2(e20,e21),e22) equal(op2(e20,e21),e23)**.
% 0.41/0.58 306[0:Inp] || -> equal(op2(e20,e20),e20) equal(op2(e20,e20),e21) equal(op2(e20,e20),e22) equal(op2(e20,e20),e23)**.
% 0.41/0.58 307[0:Inp] || -> equal(op1(e10,e13),e13) equal(op1(e11,e13),e13) equal(op1(e12,e13),e13) equal(op1(e13,e13),e13)**.
% 0.41/0.58 319[0:Inp] || -> equal(op1(e10,e12),e11) equal(op1(e11,e12),e11) equal(op1(e12,e12),e11) equal(op1(e13,e12),e11)**.
% 0.41/0.58 321[0:Inp] || -> equal(op1(e10,e12),e10) equal(op1(e11,e12),e10) equal(op1(e12,e12),e10) equal(op1(e13,e12),e10)**.
% 0.41/0.58 328[0:Inp] || -> equal(op1(e11,e10),e11) equal(op1(e11,e11),e11) equal(op1(e11,e12),e11) equal(op1(e11,e13),e11)**.
% 0.41/0.58 329[0:Inp] || -> equal(op1(e10,e11),e10) equal(op1(e11,e11),e10) equal(op1(e12,e11),e10) equal(op1(e13,e11),e10)**.
% 0.41/0.58 332[0:Inp] || -> equal(op1(e10,e10),e13) equal(op1(e10,e11),e13) equal(op1(e10,e12),e13) equal(op1(e10,e13),e13)**.
% 0.41/0.58 342[0:Inp] || -> equal(op1(e13,e10),e10) equal(op1(e13,e10),e11) equal(op1(e13,e10),e12) equal(op1(e13,e10),e13)**.
% 0.41/0.58 345[0:Inp] || -> equal(op1(e12,e11),e10) equal(op1(e12,e11),e11) equal(op1(e12,e11),e12) equal(op1(e12,e11),e13)**.
% 0.41/0.58 346[0:Inp] || -> equal(op1(e12,e10),e10) equal(op1(e12,e10),e11) equal(op1(e12,e10),e12) equal(op1(e12,e10),e13)**.
% 0.41/0.58 348[0:Inp] || -> equal(op1(e11,e12),e10) equal(op1(e11,e12),e11) equal(op1(e11,e12),e12) equal(op1(e11,e12),e13)**.
% 0.41/0.58 349[0:Inp] || -> equal(op1(e11,e11),e10) equal(op1(e11,e11),e11) equal(op1(e11,e11),e12) equal(op1(e11,e11),e13)**.
% 0.41/0.58 353[0:Inp] || -> equal(op1(e10,e11),e10) equal(op1(e10,e11),e11) equal(op1(e10,e11),e12) equal(op1(e10,e11),e13)**.
% 0.41/0.58 366[0:Inp] || equal(h2(e10),e23) equal(op2(h2(e10),h2(e10)),h2(op1(e10,e10))) equal(op2(h2(e10),h2(e11)),h2(op1(e10,e11))) equal(op2(h2(e10),h2(e12)),h2(op1(e10,e12))) equal(op2(h2(e10),h2(e13)),h2(op1(e10,e13))) equal(op2(h2(e11),h2(e10)),h2(op1(e11,e10))) equal(op2(h2(e11),h2(e11)),h2(op1(e11,e11))) equal(op2(h2(e11),h2(e12)),h2(op1(e11,e12))) equal(op2(h2(e11),h2(e13)),h2(op1(e11,e13))) equal(op2(h2(e12),h2(e10)),h2(op1(e12,e10))) equal(op2(h2(e12),h2(e11)),h2(op1(e12,e11))) equal(op2(h2(e12),h2(e12)),h2(op1(e12,e12))) equal(op2(h2(e12),h2(e13)),h2(op1(e12,e13))) equal(op2(h2(e13),h2(e10)),h2(op1(e13,e10))) equal(op2(h2(e13),h2(e11)),h2(op1(e13,e11))) equal(op2(h2(e13),h2(e12)),h2(op1(e13,e12))) equal(op2(h2(e13),h2(e13)),h2(op1(e13,e13)))** SkC27 SkC28 SkC29 -> .
% 0.41/0.58 383[0:Rew:30.0,53.0] || equal(e21,e21) -> SkC28*.
% 0.41/0.58 384[0:Obv:383.0] || -> SkC28*.
% 0.41/0.58 390[0:Rew:34.0,107.1] || SkC20* -> equal(e23,e22).
% 0.41/0.58 391[0:MRR:390.1,12.0] || SkC20* -> .
% 0.41/0.58 392[0:Rew:84.0,103.1] || SkC16 -> equal(h2(e13),e21)**.
% 0.41/0.58 393[0:Rew:83.0,99.1] || SkC12 -> equal(h1(e13),e20)**.
% 0.41/0.58 394[0:Rew:33.0,95.1] || SkC8* -> equal(e13,e12).
% 0.41/0.58 395[0:MRR:394.1,6.0] || SkC8* -> .
% 0.41/0.58 396[0:Rew:392.1,231.0,84.0,231.0] || equal(e21,e21) SkC16* -> .
% 0.41/0.58 397[0:Obv:396.0] || SkC16* -> .
% 0.41/0.58 398[0:Rew:393.1,227.0,83.0,227.0] || equal(e20,e20) SkC12* -> .
% 0.41/0.58 399[0:Obv:398.0] || SkC12* -> .
% 0.41/0.58 400[0:Rew:86.0,226.0] || -> equal(h4(e13),e23)** SkC21 SkC22 SkC23.
% 0.41/0.58 401[0:MRR:225.3,391.0] || -> equal(op2(e23,e22),e23)** SkC18 SkC19.
% 0.41/0.58 402[0:MRR:224.2,397.0] || -> equal(op2(e23,e21),e23)** SkC15 SkC17.
% 0.41/0.58 403[0:MRR:223.1,399.0] || -> equal(op2(e23,e20),e23)** SkC13 SkC14.
% 0.41/0.58 404[0:Rew:91.1,215.0] || equal(e11,e11) SkC4* -> .
% 0.41/0.58 405[0:Obv:404.0] || SkC4* -> .
% 0.41/0.58 406[0:Rew:87.1,211.0] || equal(e10,e10) SkC0* -> .
% 0.41/0.58 407[0:Obv:406.0] || SkC0* -> .
% 0.41/0.58 408[0:MRR:209.3,395.0] || -> equal(op1(e13,e12),e13)** SkC6 SkC7.
% 0.41/0.58 409[0:MRR:208.2,405.0] || -> equal(op1(e13,e11),e13)** SkC3 SkC5.
% 0.41/0.58 410[0:MRR:207.1,407.0] || -> equal(op1(e13,e10),e13)** SkC1 SkC2.
% 0.41/0.58 412[0:Rew:86.0,205.0] || equal(op2(e23,e21),h4(e13))** -> .
% 0.41/0.58 413[0:Rew:86.0,203.0] || equal(op2(e23,e20),h4(e13))** -> .
% 0.41/0.58 415[0:Rew:34.0,198.0] || equal(op2(e22,e21),e23)** -> .
% 0.41/0.58 416[0:Rew:34.0,196.0] || equal(op2(e22,e20),e23)** -> .
% 0.41/0.58 417[0:Rew:84.0,193.0] || equal(op2(e21,e23),h2(e13))** -> .
% 0.41/0.58 420[0:Rew:83.0,185.0] || equal(op2(e20,e23),h1(e13))** -> .
% 0.41/0.58 422[0:Rew:83.0,183.0] || equal(op2(e20,e21),h1(e13))** -> .
% 0.41/0.58 425[0:Rew:86.0,179.0] || equal(op2(e20,e23),h4(e13))** -> .
% 0.41/0.58 426[0:Rew:34.0,176.0] || equal(op2(e23,e22),e23)** -> .
% 0.41/0.58 427[0:MRR:401.0,426.0] || -> SkC19 SkC18*.
% 0.41/0.58 428[0:Rew:34.0,174.0] || equal(op2(e21,e22),e23)** -> .
% 0.41/0.58 433[0:Rew:83.0,161.0] || equal(op2(e23,e20),h1(e13))** -> .
% 0.41/0.58 435[0:Rew:83.0,159.0] || equal(op2(e21,e20),h1(e13))** -> .
% 0.41/0.58 437[0:Rew:33.0,150.0] || equal(op1(e12,e11),e13)** -> .
% 0.41/0.58 438[0:Rew:33.0,148.0] || equal(op1(e12,e10),e13)** -> .
% 0.41/0.58 439[0:Rew:33.0,128.0] || equal(op1(e13,e12),e13)** -> .
% 0.41/0.58 440[0:MRR:408.0,439.0] || -> SkC7 SkC6*.
% 0.41/0.58 441[0:Rew:33.0,126.0] || equal(op1(e11,e12),e13)** -> .
% 0.41/0.58 442[0:Rew:33.0,124.0] || equal(op1(e10,e12),e13)** -> .
% 0.41/0.58 443[0:Rew:86.0,248.0,34.0,248.0] || -> equal(h4(e13),e20)**.
% 0.41/0.58 444[0:Rew:443.0,86.0] || -> equal(op2(e23,e23),e20)**.
% 0.41/0.58 448[0:Rew:443.0,400.0] || -> equal(e23,e20) SkC21* SkC22 SkC23.
% 0.41/0.58 450[0:Rew:443.0,412.0] || equal(op2(e23,e21),e20)** -> .
% 0.41/0.58 451[0:Rew:443.0,413.0] || equal(op2(e23,e20),e20)** -> .
% 0.41/0.58 454[0:Rew:443.0,425.0] || equal(op2(e20,e23),e20)** -> .
% 0.41/0.58 456[0:MRR:448.0,9.0] || -> SkC21* SkC22 SkC23.
% 0.41/0.58 457[0:MRR:108.1,454.0] || SkC21* -> .
% 0.41/0.58 458[0:MRR:456.0,457.0] || -> SkC22* SkC23.
% 0.41/0.58 459[0:Rew:33.0,247.0] || -> equal(op1(e13,e13),e10)**.
% 0.41/0.58 460[0:Rew:459.0,210.0] || -> equal(e13,e10) SkC9* SkC10 SkC11.
% 0.41/0.58 461[0:Rew:459.0,158.0] || equal(op1(e13,e12),e10)** -> .
% 0.41/0.58 462[0:Rew:459.0,157.0] || equal(op1(e13,e11),e10)** -> .
% 0.41/0.58 463[0:Rew:459.0,155.0] || equal(op1(e13,e10),e10)** -> .
% 0.41/0.58 466[0:Rew:459.0,131.0] || equal(op1(e10,e13),e10)** -> .
% 0.41/0.58 467[0:MRR:460.0,3.0] || -> SkC9* SkC10 SkC11.
% 0.41/0.58 468[0:MRR:96.1,466.0] || SkC9* -> .
% 0.41/0.58 469[0:MRR:467.0,468.0] || -> SkC10* SkC11.
% 0.41/0.58 479[0:Rew:84.0,250.0] || -> equal(op2(h2(e13),h2(e13)),h2(e10))**.
% 0.41/0.58 481[0:Rew:444.0,254.0,34.0,254.0] || -> equal(op2(e20,e23),e21)**.
% 0.41/0.58 482[0:Rew:481.0,188.0] || equal(op2(e20,e22),e21)** -> .
% 0.41/0.58 483[0:Rew:481.0,187.0] || equal(op2(e20,e21),e21)** -> .
% 0.41/0.58 484[0:Rew:481.0,420.0] || equal(h1(e13),e21)** -> .
% 0.41/0.58 486[0:Rew:481.0,177.0] || equal(op2(e21,e23),e21)** -> .
% 0.41/0.58 488[0:MRR:109.1,486.0] || SkC22* -> .
% 0.41/0.58 489[0:MRR:458.0,488.0] || -> SkC23*.
% 0.41/0.58 490[0:MRR:110.0,489.0] || -> equal(op2(e22,e23),e22)**.
% 0.41/0.58 492[0:Rew:490.0,199.0] || equal(op2(e22,e21),e22)** -> .
% 0.41/0.58 493[0:Rew:490.0,197.0] || equal(op2(e22,e20),e22)** -> .
% 0.41/0.58 497[0:MRR:104.1,492.0] || SkC17* -> .
% 0.41/0.58 498[0:MRR:402.2,497.0] || -> SkC15 equal(op2(e23,e21),e23)**.
% 0.41/0.58 499[0:MRR:101.1,493.0] || SkC14* -> .
% 0.41/0.58 500[0:MRR:403.2,499.0] || -> SkC13 equal(op2(e23,e20),e23)**.
% 0.41/0.58 501[0:Rew:459.0,253.0,33.0,253.0] || -> equal(op1(e10,e13),e11)**.
% 0.41/0.58 502[0:Rew:501.0,140.0] || equal(op1(e10,e12),e11)** -> .
% 0.41/0.58 503[0:Rew:501.0,139.0] || equal(op1(e10,e11),e11)** -> .
% 0.41/0.58 506[0:Rew:501.0,129.0] || equal(op1(e11,e13),e11)** -> .
% 0.41/0.58 508[0:MRR:97.1,506.0] || SkC10* -> .
% 0.41/0.58 509[0:MRR:469.0,508.0] || -> SkC11*.
% 0.41/0.58 510[0:MRR:98.0,509.0] || -> equal(op1(e12,e13),e12)**.
% 0.41/0.58 512[0:Rew:510.0,151.0] || equal(op1(e12,e11),e12)** -> .
% 0.41/0.58 513[0:Rew:510.0,149.0] || equal(op1(e12,e10),e12)** -> .
% 0.41/0.58 517[0:MRR:92.1,512.0] || SkC5* -> .
% 0.41/0.58 518[0:MRR:409.2,517.0] || -> SkC3 equal(op1(e13,e11),e13)**.
% 0.41/0.58 519[0:MRR:89.1,513.0] || SkC2* -> .
% 0.41/0.58 520[0:MRR:410.2,519.0] || -> SkC1 equal(op1(e13,e10),e13)**.
% 0.41/0.58 521[0:Rew:83.0,258.0,444.0,258.0] || -> equal(op2(h1(e13),e20),h4(e11))**.
% 0.41/0.58 525[0:Rew:479.0,256.0,84.0,256.0] || -> equal(op2(h2(e10),h2(e13)),h2(e11))**.
% 0.41/0.58 527[0:Rew:444.0,259.3,490.0,259.2,481.0,259.0] || -> equal(e23,e21) equal(op2(e21,e23),e23)** equal(e23,e22) equal(e23,e20).
% 0.41/0.58 528[0:MRR:527.0,527.2,527.3,11.0,12.0,9.0] || -> equal(op2(e21,e23),e23)**.
% 0.41/0.58 530[0:Rew:528.0,417.0] || equal(h2(e13),e23)** -> .
% 0.41/0.58 531[0:Rew:528.0,191.0] || equal(op2(e21,e20),e23)** -> .
% 0.41/0.58 543[0:Rew:34.0,271.2] || -> equal(op2(e20,e22),e21) equal(op2(e21,e22),e21) equal(e23,e21) equal(op2(e23,e22),e21)**.
% 0.41/0.58 544[0:MRR:543.0,543.2,482.0,11.0] || -> equal(op2(e21,e22),e21) equal(op2(e23,e22),e21)**.
% 0.41/0.58 545[0:Rew:490.0,272.3,34.0,272.2] || -> equal(op2(e22,e20),e21) equal(op2(e22,e21),e21)** equal(e23,e21) equal(e22,e21).
% 0.41/0.58 546[0:MRR:545.2,545.3,11.0,10.0] || -> equal(op2(e22,e21),e21)** equal(op2(e22,e20),e21).
% 0.41/0.58 551[0:Rew:84.0,275.1] || -> equal(op2(e20,e21),e23) equal(h2(e13),e23) equal(op2(e22,e21),e23) equal(op2(e23,e21),e23)**.
% 0.41/0.58 552[0:MRR:551.1,551.2,530.0,415.0] || -> equal(op2(e23,e21),e23)** equal(op2(e20,e21),e23).
% 0.41/0.58 561[0:Rew:84.0,281.1] || -> equal(op2(e20,e21),e20) equal(h2(e13),e20) equal(op2(e22,e21),e20) equal(op2(e23,e21),e20)**.
% 0.41/0.58 562[0:MRR:561.3,450.0] || -> equal(h2(e13),e20) equal(op2(e20,e21),e20) equal(op2(e22,e21),e20)**.
% 0.41/0.58 565[0:Rew:83.0,283.0] || -> equal(h1(e13),e23) equal(op2(e21,e20),e23) equal(op2(e22,e20),e23) equal(op2(e23,e20),e23)**.
% 0.41/0.58 566[0:MRR:565.1,565.2,531.0,416.0] || -> equal(h1(e13),e23) equal(op2(e23,e20),e23)**.
% 0.41/0.58 581[0:MRR:294.0,451.0] || -> equal(op2(e23,e20),e23)** equal(op2(e23,e20),e22) equal(op2(e23,e20),e21).
% 0.41/0.58 582[0:MRR:297.2,297.3,492.0,415.0] || -> equal(op2(e22,e21),e21)** equal(op2(e22,e21),e20).
% 0.41/0.58 583[0:MRR:298.2,298.3,493.0,416.0] || -> equal(op2(e22,e20),e20) equal(op2(e22,e20),e21)**.
% 0.41/0.58 584[0:MRR:300.3,428.0] || -> equal(op2(e21,e22),e22)** equal(op2(e21,e22),e21) equal(op2(e21,e22),e20).
% 0.41/0.58 587[0:MRR:302.3,531.0] || -> equal(op2(e21,e20),e21) equal(op2(e21,e20),e20) equal(op2(e21,e20),e22)**.
% 0.41/0.58 589[0:MRR:305.1,483.0] || -> equal(op2(e20,e21),e20) equal(op2(e20,e21),e23)** equal(op2(e20,e21),e22).
% 0.41/0.58 590[0:Rew:83.0,306.3,83.0,306.2,83.0,306.1,83.0,306.0] || -> equal(h1(e13),e20) equal(h1(e13),e21) equal(h1(e13),e22) equal(h1(e13),e23)**.
% 0.41/0.58 591[0:MRR:590.1,484.0] || -> equal(h1(e13),e23)** equal(h1(e13),e22) equal(h1(e13),e20).
% 0.41/0.58 592[0:Rew:459.0,307.3,510.0,307.2,501.0,307.0] || -> equal(e13,e11) equal(op1(e11,e13),e13)** equal(e13,e12) equal(e13,e10).
% 0.41/0.58 593[0:MRR:592.0,592.2,592.3,5.0,6.0,3.0] || -> equal(op1(e11,e13),e13)**.
% 0.41/0.58 595[0:Rew:593.0,145.0] || equal(op1(e11,e11),e13)** -> .
% 0.41/0.58 608[0:Rew:33.0,319.2] || -> equal(op1(e10,e12),e11) equal(op1(e11,e12),e11) equal(e13,e11) equal(op1(e13,e12),e11)**.
% 0.41/0.58 609[0:MRR:608.0,608.2,502.0,5.0] || -> equal(op1(e11,e12),e11) equal(op1(e13,e12),e11)**.
% 0.41/0.58 612[0:Rew:33.0,321.2] || -> equal(op1(e10,e12),e10) equal(op1(e11,e12),e10) equal(e13,e10) equal(op1(e13,e12),e10)**.
% 0.41/0.58 613[0:MRR:612.2,612.3,3.0,461.0] || -> equal(op1(e10,e12),e10) equal(op1(e11,e12),e10)**.
% 0.41/0.58 621[0:Rew:593.0,328.3] || -> equal(op1(e11,e10),e11) equal(op1(e11,e11),e11) equal(op1(e11,e12),e11)** equal(e13,e11).
% 0.41/0.58 622[0:MRR:621.3,5.0] || -> equal(op1(e11,e11),e11) equal(op1(e11,e12),e11)** equal(op1(e11,e10),e11).
% 0.41/0.58 623[0:MRR:329.3,462.0] || -> equal(op1(e11,e11),e10) equal(op1(e10,e11),e10) equal(op1(e12,e11),e10)**.
% 0.41/0.58 627[0:Rew:501.0,332.3] || -> equal(op1(e10,e10),e13) equal(op1(e10,e11),e13) equal(op1(e10,e12),e13)** equal(e13,e11).
% 0.41/0.58 628[0:MRR:627.2,627.3,442.0,5.0] || -> equal(op1(e10,e10),e13) equal(op1(e10,e11),e13)**.
% 0.41/0.58 638[0:MRR:342.0,463.0] || -> equal(op1(e13,e10),e13)** equal(op1(e13,e10),e12) equal(op1(e13,e10),e11).
% 0.41/0.58 639[0:MRR:345.2,345.3,512.0,437.0] || -> equal(op1(e12,e11),e11)** equal(op1(e12,e11),e10).
% 0.41/0.58 640[0:MRR:346.2,346.3,513.0,438.0] || -> equal(op1(e12,e10),e10) equal(op1(e12,e10),e11)**.
% 0.41/0.58 641[0:MRR:348.3,441.0] || -> equal(op1(e11,e12),e12)** equal(op1(e11,e12),e11) equal(op1(e11,e12),e10).
% 0.41/0.58 642[0:MRR:349.3,595.0] || -> equal(op1(e11,e11),e11) equal(op1(e11,e11),e12)** equal(op1(e11,e11),e10).
% 0.41/0.58 645[0:MRR:353.1,503.0] || -> equal(op1(e10,e11),e10) equal(op1(e10,e11),e13)** equal(op1(e10,e11),e12).
% 0.41/0.58 670[0:Rew:479.0,366.16,459.0,366.16,30.0,366.15,30.0,366.12,510.0,366.12,84.0,366.11,30.0,366.11,33.0,366.11,30.0,366.10,30.0,366.9,593.0,366.8,30.0,366.7,525.0,366.4,501.0,366.4,30.0,366.3] || equal(h2(e10),e23) equal(op2(h2(e10),h2(e10)),h2(op1(e10,e10))) equal(op2(h2(e10),h2(e11)),h2(op1(e10,e11))) equal(op2(h2(e10),e21),h2(op1(e10,e12))) equal(h2(e11),h2(e11)) equal(op2(h2(e11),h2(e10)),h2(op1(e11,e10))) equal(op2(h2(e11),h2(e11)),h2(op1(e11,e11))) equal(op2(h2(e11),e21),h2(op1(e11,e12))) equal(op2(h2(e11),h2(e13)),h2(e13)) equal(op2(e21,h2(e10)),h2(op1(e12,e10))) equal(op2(e21,h2(e11)),h2(op1(e12,e11))) equal(h2(e13),h2(e13)) equal(op2(e21,h2(e13)),e21) equal(op2(h2(e13),h2(e10)),h2(op1(e13,e10))) equal(op2(h2(e13),h2(e11)),h2(op1(e13,e11)))** equal(op2(h2(e13),e21),h2(op1(e13,e12))) equal(h2(e10),h2(e10)) SkC27 SkC28 SkC29 -> .
% 0.41/0.58 671[0:Obv:670.16] || equal(h2(e10),e23) equal(op2(h2(e10),h2(e10)),h2(op1(e10,e10))) equal(op2(h2(e10),h2(e11)),h2(op1(e10,e11))) equal(op2(h2(e10),e21),h2(op1(e10,e12))) equal(op2(h2(e11),h2(e10)),h2(op1(e11,e10))) equal(op2(h2(e11),h2(e11)),h2(op1(e11,e11))) equal(op2(h2(e11),e21),h2(op1(e11,e12))) equal(op2(h2(e11),h2(e13)),h2(e13)) equal(op2(e21,h2(e10)),h2(op1(e12,e10))) equal(op2(e21,h2(e11)),h2(op1(e12,e11))) equal(op2(e21,h2(e13)),e21) equal(op2(h2(e13),h2(e10)),h2(op1(e13,e10))) equal(op2(h2(e13),h2(e11)),h2(op1(e13,e11)))** equal(op2(h2(e13),e21),h2(op1(e13,e12))) SkC27 SkC28 SkC29 -> .
% 0.41/0.58 672[0:MRR:671.15,384.0] || SkC29 SkC27 equal(h2(e10),e23) equal(op2(e21,h2(e13)),e21) equal(op2(e21,h2(e11)),h2(op1(e12,e11))) equal(op2(e21,h2(e10)),h2(op1(e12,e10))) equal(op2(h2(e13),e21),h2(op1(e13,e12))) equal(op2(h2(e11),e21),h2(op1(e11,e12))) equal(op2(h2(e10),e21),h2(op1(e10,e12))) equal(op2(h2(e11),h2(e13)),h2(e13)) equal(op2(h2(e11),h2(e11)),h2(op1(e11,e11))) equal(op2(h2(e10),h2(e10)),h2(op1(e10,e10))) equal(op2(h2(e13),h2(e11)),h2(op1(e13,e11)))** equal(op2(h2(e13),h2(e10)),h2(op1(e13,e10))) equal(op2(h2(e11),h2(e10)),h2(op1(e11,e10))) equal(op2(h2(e10),h2(e11)),h2(op1(e10,e11))) -> .
% 0.41/0.58 684[1:Spt:591.0] || -> equal(h1(e13),e23)**.
% 0.41/0.58 697[1:Rew:684.0,83.0] || -> equal(op2(e20,e20),e23)**.
% 0.41/0.58 699[1:Rew:684.0,422.0] || equal(op2(e20,e21),e23)** -> .
% 0.41/0.58 700[1:Rew:684.0,433.0] || equal(op2(e23,e20),e23)** -> .
% 0.41/0.58 703[1:Rew:684.0,521.0] || -> equal(op2(e23,e20),h4(e11))**.
% 0.41/0.58 707[1:MRR:552.1,699.0] || -> equal(op2(e23,e21),e23)**.
% 0.41/0.58 708[1:MRR:589.1,699.0] || -> equal(op2(e20,e21),e20) equal(op2(e20,e21),e22)**.
% 0.41/0.58 719[1:MRR:500.1,700.0] || -> SkC13*.
% 0.41/0.58 720[1:MRR:581.0,700.0] || -> equal(op2(e23,e20),e22)** equal(op2(e23,e20),e21).
% 0.41/0.58 721[1:MRR:100.0,719.0] || -> equal(op2(e21,e20),e21)**.
% 0.41/0.58 722[1:MRR:228.0,719.0] || equal(op2(e20,e21),e20)** -> .
% 0.41/0.58 728[1:Rew:721.0,190.0] || equal(op2(e21,e22),e21)** -> .
% 0.41/0.58 729[1:Rew:721.0,163.0] || equal(op2(e23,e20),e21)** -> .
% 0.41/0.58 730[1:Rew:721.0,162.0] || equal(op2(e22,e20),e21)** -> .
% 0.41/0.58 742[1:MRR:562.1,722.0] || -> equal(h2(e13),e20) equal(op2(e22,e21),e20)**.
% 0.41/0.58 744[1:MRR:106.1,728.0] || SkC19* -> .
% 0.41/0.58 745[1:MRR:544.0,728.0] || -> equal(op2(e23,e22),e21)**.
% 0.41/0.58 746[1:MRR:584.1,728.0] || -> equal(op2(e21,e22),e22)** equal(op2(e21,e22),e20).
% 0.41/0.58 747[1:MRR:427.0,744.0] || -> SkC18*.
% 0.41/0.58 748[1:MRR:105.0,747.0] || -> equal(op2(e20,e22),e20)**.
% 0.41/0.58 757[1:Rew:748.0,171.0] || equal(op2(e21,e22),e20)** -> .
% 0.41/0.58 758[1:Rew:703.0,729.0] || equal(h4(e11),e21)** -> .
% 0.41/0.58 759[1:MRR:546.1,730.0] || -> equal(op2(e22,e21),e21)**.
% 0.41/0.58 760[1:MRR:583.1,730.0] || -> equal(op2(e22,e20),e20)**.
% 0.41/0.58 778[1:Rew:759.0,742.1] || -> equal(h2(e13),e20)** equal(e21,e20).
% 0.41/0.58 779[1:MRR:778.1,7.0] || -> equal(h2(e13),e20)**.
% 0.41/0.58 781[1:Rew:779.0,50.0] || equal(e20,e20) -> SkC27*.
% 0.41/0.58 783[1:Rew:779.0,672.9] || SkC29 SkC27 equal(h2(e10),e23) equal(op2(e21,h2(e13)),e21) equal(op2(e21,h2(e11)),h2(op1(e12,e11))) equal(op2(e21,h2(e10)),h2(op1(e12,e10))) equal(op2(h2(e13),e21),h2(op1(e13,e12))) equal(op2(h2(e11),e21),h2(op1(e11,e12))) equal(op2(h2(e10),e21),h2(op1(e10,e12))) equal(op2(h2(e11),e20),e20) equal(op2(h2(e11),h2(e11)),h2(op1(e11,e11))) equal(op2(h2(e10),h2(e10)),h2(op1(e10,e10))) equal(op2(h2(e13),h2(e11)),h2(op1(e13,e11)))** equal(op2(h2(e13),h2(e10)),h2(op1(e13,e10))) equal(op2(h2(e11),h2(e10)),h2(op1(e11,e10))) equal(op2(h2(e10),h2(e11)),h2(op1(e10,e11))) -> .
% 0.41/0.58 788[1:Rew:779.0,479.0] || -> equal(op2(e20,e20),h2(e10))**.
% 0.41/0.58 789[1:Rew:779.0,525.0] || -> equal(op2(h2(e10),e20),h2(e11))**.
% 0.41/0.58 791[1:Obv:781.0] || -> SkC27*.
% 0.41/0.58 792[1:Rew:697.0,788.0] || -> equal(h2(e10),e23)**.
% 0.41/0.58 794[1:Rew:703.0,789.0,792.0,789.0] || -> equal(h4(e11),h2(e11))**.
% 0.41/0.58 796[1:Rew:794.0,703.0] || -> equal(op2(e23,e20),h2(e11))**.
% 0.41/0.58 799[1:Rew:794.0,758.0] || equal(h2(e11),e21)** -> .
% 0.41/0.58 800[1:MRR:708.0,722.0] || -> equal(op2(e20,e21),e22)**.
% 0.41/0.58 804[1:Rew:796.0,720.1,796.0,720.0] || -> equal(h2(e11),e22)** equal(h2(e11),e21).
% 0.41/0.58 805[1:MRR:804.1,799.0] || -> equal(h2(e11),e22)**.
% 0.41/0.58 807[1:Rew:805.0,56.0] || equal(e22,e22) -> SkC29*.
% 0.41/0.58 814[1:Obv:807.0] || -> SkC29*.
% 0.41/0.58 815[1:MRR:746.1,757.0] || -> equal(op2(e21,e22),e22)**.
% 0.41/0.58 831[1:Rew:745.0,783.15,792.0,783.15,805.0,783.15,490.0,783.14,805.0,783.14,792.0,783.14,481.0,783.13,779.0,783.13,792.0,783.13,748.0,783.12,779.0,783.12,805.0,783.12,444.0,783.11,792.0,783.11,34.0,783.10,805.0,783.10,760.0,783.9,805.0,783.9,707.0,783.8,792.0,783.8,759.0,783.7,805.0,783.7,800.0,783.6,779.0,783.6,528.0,783.5,792.0,783.5,815.0,783.4,805.0,783.4,721.0,783.3,779.0,783.3,792.0,783.2] || SkC29 SkC27 equal(e23,e23) equal(e21,e21) equal(h2(op1(e12,e11)),e22) equal(h2(op1(e12,e10)),e23) equal(h2(op1(e13,e12)),e22)** equal(h2(op1(e11,e12)),e21) equal(h2(op1(e10,e12)),e23) equal(e20,e20) equal(h2(op1(e11,e11)),e23) equal(h2(op1(e10,e10)),e20) equal(h2(op1(e13,e11)),e20) equal(h2(op1(e13,e10)),e21) equal(h2(op1(e11,e10)),e22) equal(h2(op1(e10,e11)),e21) -> .
% 0.41/0.59 832[1:Obv:831.9] || SkC29 SkC27 equal(h2(op1(e12,e11)),e22) equal(h2(op1(e12,e10)),e23) equal(h2(op1(e13,e12)),e22)** equal(h2(op1(e11,e12)),e21) equal(h2(op1(e10,e12)),e23) equal(h2(op1(e11,e11)),e23) equal(h2(op1(e10,e10)),e20) equal(h2(op1(e13,e11)),e20) equal(h2(op1(e13,e10)),e21) equal(h2(op1(e11,e10)),e22) equal(h2(op1(e10,e11)),e21) -> .
% 0.41/0.59 833[1:MRR:832.0,832.1,814.0,791.0] || equal(h2(op1(e12,e11)),e22) equal(h2(op1(e12,e10)),e23) equal(h2(op1(e13,e12)),e22)** equal(h2(op1(e11,e12)),e21) equal(h2(op1(e10,e12)),e23) equal(h2(op1(e11,e11)),e23) equal(h2(op1(e10,e10)),e20) equal(h2(op1(e13,e11)),e20) equal(h2(op1(e13,e10)),e21) equal(h2(op1(e11,e10)),e22) equal(h2(op1(e10,e11)),e21) -> .
% 0.41/0.59 835[2:Spt:645.0] || -> equal(op1(e10,e11),e10)**.
% 0.41/0.59 836[2:Rew:835.0,212.1] || SkC1* equal(e10,e10) -> .
% 0.41/0.59 842[2:Rew:835.0,138.0] || equal(op1(e10,e12),e10)** -> .
% 0.41/0.59 845[2:Rew:835.0,118.0] || equal(op1(e12,e11),e10)** -> .
% 0.41/0.59 846[2:Rew:835.0,117.0] || equal(op1(e11,e11),e10)** -> .
% 0.41/0.59 849[2:Obv:836.1] || SkC1* -> .
% 0.41/0.59 850[2:MRR:520.0,849.0] || -> equal(op1(e13,e10),e13)**.
% 0.41/0.59 857[2:Rew:850.0,153.0] || equal(op1(e13,e11),e13)** -> .
% 0.41/0.59 862[2:MRR:613.0,842.0] || -> equal(op1(e11,e12),e10)**.
% 0.41/0.59 866[2:Rew:862.0,622.1] || -> equal(op1(e11,e11),e11)** equal(e11,e10) equal(op1(e11,e10),e11).
% 0.41/0.59 885[2:MRR:639.1,845.0] || -> equal(op1(e12,e11),e11)**.
% 0.41/0.59 895[2:Rew:885.0,120.0] || equal(op1(e11,e11),e11)** -> .
% 0.41/0.59 897[2:MRR:642.2,846.0] || -> equal(op1(e11,e11),e11) equal(op1(e11,e11),e12)**.
% 0.41/0.59 898[2:MRR:518.1,857.0] || -> SkC3*.
% 0.41/0.59 900[2:MRR:214.0,898.0] || equal(op1(e11,e10),e11)** -> .
% 0.41/0.59 913[2:MRR:897.0,895.0] || -> equal(op1(e11,e11),e12)**.
% 0.41/0.59 926[2:Rew:913.0,866.0] || -> equal(e12,e11) equal(e11,e10) equal(op1(e11,e10),e11)**.
% 0.41/0.59 927[2:MRR:926.0,926.1,926.2,4.0,1.0,900.0] || -> .
% 0.41/0.59 932[2:Spt:927.0,645.0,835.0] || equal(op1(e10,e11),e10)** -> .
% 0.41/0.59 933[2:Spt:927.0,645.1,645.2] || -> equal(op1(e10,e11),e13)** equal(op1(e10,e11),e12).
% 0.41/0.59 934[2:MRR:90.1,932.0] || SkC3* -> .
% 0.41/0.59 935[2:MRR:518.0,934.0] || -> equal(op1(e13,e11),e13)**.
% 0.41/0.59 937[2:Rew:935.0,119.0] || equal(op1(e10,e11),e13)** -> .
% 0.41/0.59 938[2:Rew:935.0,153.0] || equal(op1(e13,e10),e13)** -> .
% 0.41/0.59 939[2:MRR:520.1,938.0] || -> SkC1*.
% 0.41/0.59 940[2:MRR:88.0,939.0] || -> equal(op1(e11,e10),e11)**.
% 0.41/0.59 943[2:Rew:940.0,115.0] || equal(op1(e13,e10),e11)** -> .
% 0.41/0.59 944[2:Rew:940.0,142.0] || equal(op1(e11,e12),e11)** -> .
% 0.41/0.59 945[2:MRR:94.1,944.0] || SkC7* -> .
% 0.41/0.59 946[2:MRR:440.0,945.0] || -> SkC6*.
% 0.41/0.59 947[2:MRR:93.0,946.0] || -> equal(op1(e10,e12),e10)**.
% 0.41/0.59 951[2:Rew:947.0,123.0] || equal(op1(e11,e12),e10)** -> .
% 0.41/0.59 954[2:Rew:940.0,114.0] || equal(op1(e12,e10),e11)** -> .
% 0.41/0.59 959[2:MRR:628.1,937.0] || -> equal(op1(e10,e10),e13)**.
% 0.41/0.59 965[2:MRR:609.0,944.0] || -> equal(op1(e13,e12),e11)**.
% 0.41/0.59 970[2:MRR:640.1,954.0] || -> equal(op1(e12,e10),e10)**.
% 0.41/0.59 975[2:Rew:970.0,147.0] || equal(op1(e12,e11),e10)** -> .
% 0.41/0.59 976[2:MRR:639.1,975.0] || -> equal(op1(e12,e11),e11)**.
% 0.41/0.59 982[2:MRR:933.0,937.0] || -> equal(op1(e10,e11),e12)**.
% 0.41/0.59 987[2:Rew:976.0,623.2,982.0,623.1] || -> equal(op1(e11,e11),e10)** equal(e12,e10) equal(e11,e10).
% 0.41/0.59 988[2:MRR:987.1,987.2,2.0,1.0] || -> equal(op1(e11,e11),e10)**.
% 0.41/0.59 993[2:MRR:638.0,638.2,938.0,943.0] || -> equal(op1(e13,e10),e12)**.
% 0.41/0.59 997[2:MRR:641.1,641.2,944.0,951.0] || -> equal(op1(e11,e12),e12)**.
% 0.41/0.59 1003[2:Rew:30.0,833.10,982.0,833.10,805.0,833.9,940.0,833.9,30.0,833.8,993.0,833.8,779.0,833.7,935.0,833.7,779.0,833.6,959.0,833.6,792.0,833.5,988.0,833.5,792.0,833.4,947.0,833.4,30.0,833.3,997.0,833.3,805.0,833.2,965.0,833.2,792.0,833.1,970.0,833.1,805.0,833.0,976.0,833.0] || equal(e22,e22) equal(e23,e23)* equal(e22,e22) equal(e21,e21) equal(e23,e23)* equal(e23,e23)* equal(e20,e20) equal(e20,e20) equal(e21,e21) equal(e22,e22) equal(e21,e21) -> .
% 0.41/0.59 1004[2:Obv:1003.10] || -> .
% 0.41/0.59 1005[1:Spt:1004.0,591.0,684.0] || equal(h1(e13),e23)** -> .
% 0.41/0.59 1006[1:Spt:1004.0,591.1,591.2] || -> equal(h1(e13),e22)** equal(h1(e13),e20).
% 0.41/0.59 1007[1:MRR:566.0,1005.0] || -> equal(op2(e23,e20),e23)**.
% 0.41/0.59 1010[1:Rew:1007.0,201.0] || equal(op2(e23,e21),e23)** -> .
% 0.41/0.59 1014[1:MRR:498.1,1010.0] || -> SkC15*.
% 0.41/0.59 1015[1:MRR:102.0,1014.0] || -> equal(op2(e20,e21),e20)**.
% 0.41/0.59 1016[1:MRR:230.0,1014.0] || equal(op2(e21,e20),e21)** -> .
% 0.41/0.59 1018[1:Rew:1015.0,422.0] || equal(h1(e13),e20)** -> .
% 0.41/0.59 1023[1:Rew:1015.0,166.0] || equal(op2(e22,e21),e20)** -> .
% 0.41/0.59 1024[1:MRR:1006.1,1018.0] || -> equal(h1(e13),e22)**.
% 0.41/0.59 1031[1:Rew:1024.0,521.0] || -> equal(op2(e22,e20),h4(e11))**.
% 0.41/0.59 1032[1:Rew:1024.0,435.0] || equal(op2(e21,e20),e22)** -> .
% 0.41/0.59 1052[1:Rew:1031.0,162.0] || equal(op2(e21,e20),h4(e11))** -> .
% 0.41/0.59 1053[1:Rew:1031.0,195.0] || equal(op2(e22,e21),h4(e11))** -> .
% 0.41/0.59 1078[1:Rew:1031.0,583.1,1031.0,583.0] || -> equal(h4(e11),e20) equal(h4(e11),e21)**.
% 0.41/0.59 1080[1:MRR:582.1,1023.0] || -> equal(op2(e22,e21),e21)**.
% 0.41/0.59 1086[1:Rew:1080.0,1053.0] || equal(h4(e11),e21)** -> .
% 0.41/0.59 1087[1:MRR:1078.1,1086.0] || -> equal(h4(e11),e20)**.
% 0.41/0.59 1091[1:Rew:1087.0,1052.0] || equal(op2(e21,e20),e20)** -> .
% 0.41/0.59 1115[1:MRR:587.0,587.1,587.2,1016.0,1091.0,1032.0] || -> .
% 0.41/0.59 % SZS output end Refutation
% 0.41/0.59 Formulae used in the proof : ax7 ax8 ax15 ax12 ax13 co1 ax14 ax17 ax10 ax11 ax5 ax6 ax4 ax3 ax2 ax1
% 0.41/0.59
%------------------------------------------------------------------------------