TSTP Solution File: ALG124+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG124+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 18:02:33 EDT 2022
% Result : Theorem 0.45s 0.62s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : ALG124+1 : TPTP v8.1.0. Released v2.7.0.
% 0.09/0.12 % Command : run_spass %d %s
% 0.11/0.33 % Computer : n023.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Wed Jun 8 21:08:08 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.45/0.62
% 0.45/0.62 SPASS V 3.9
% 0.45/0.62 SPASS beiseite: Proof found.
% 0.45/0.62 % SZS status Theorem
% 0.45/0.62 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/0.62 SPASS derived 604 clauses, backtracked 638 clauses, performed 5 splits and kept 1107 clauses.
% 0.45/0.62 SPASS allocated 86675 KBytes.
% 0.45/0.62 SPASS spent 0:00:00.28 on the problem.
% 0.45/0.62 0:00:00.04 for the input.
% 0.45/0.62 0:00:00.08 for the FLOTTER CNF translation.
% 0.45/0.62 0:00:00.00 for inferences.
% 0.45/0.62 0:00:00.00 for the backtracking.
% 0.45/0.62 0:00:00.13 for the reduction.
% 0.45/0.62
% 0.45/0.62
% 0.45/0.62 Here is a proof with depth 1, length 450 :
% 0.45/0.62 % SZS output start Refutation
% 0.45/0.62 1[0:Inp] || equal(e11,e10)** -> .
% 0.45/0.62 2[0:Inp] || equal(e12,e10)** -> .
% 0.45/0.62 3[0:Inp] || equal(e13,e10)** -> .
% 0.45/0.62 4[0:Inp] || equal(e12,e11)** -> .
% 0.45/0.62 5[0:Inp] || equal(e13,e11)** -> .
% 0.45/0.62 6[0:Inp] || equal(e13,e12)** -> .
% 0.45/0.62 7[0:Inp] || equal(e21,e20)** -> .
% 0.45/0.62 8[0:Inp] || equal(e22,e20)** -> .
% 0.45/0.62 9[0:Inp] || equal(e23,e20)** -> .
% 0.45/0.62 10[0:Inp] || equal(e22,e21)** -> .
% 0.45/0.62 11[0:Inp] || equal(e23,e21)** -> .
% 0.45/0.62 12[0:Inp] || equal(e23,e22)** -> .
% 0.45/0.62 29[0:Inp] || -> equal(h1(e10),e20)**.
% 0.45/0.62 33[0:Inp] || -> equal(op1(e10,e10),e13)**.
% 0.45/0.62 34[0:Inp] || -> equal(op2(e20,e20),e23)**.
% 0.45/0.62 35[0:Inp] || equal(h1(e10),e20)** -> SkC6.
% 0.45/0.62 40[0:Inp] || equal(h1(e11),e21)** -> SkC7.
% 0.45/0.62 45[0:Inp] || equal(h1(e12),e22)** -> SkC8.
% 0.45/0.62 84[0:Inp] || equal(op1(e11,e11),e11)** -> .
% 0.45/0.62 85[0:Inp] || equal(op1(e12,e12),e12)** -> .
% 0.45/0.62 86[0:Inp] || equal(op1(e13,e13),e13)** -> .
% 0.45/0.62 88[0:Inp] || equal(op2(e21,e21),e21)** -> .
% 0.45/0.62 89[0:Inp] || equal(op2(e22,e22),e22)** -> .
% 0.45/0.62 90[0:Inp] || equal(op2(e23,e23),e23)** -> .
% 0.45/0.62 91[0:Inp] || -> equal(op2(e20,e20),h1(e13))**.
% 0.45/0.62 92[0:Inp] || -> equal(op2(e21,e21),h2(e13))**.
% 0.45/0.62 93[0:Inp] || -> equal(op2(e22,e22),h3(e13))**.
% 0.45/0.62 94[0:Inp] || -> equal(op2(e23,e23),h4(e13))**.
% 0.45/0.62 95[0:Inp] || -> equal(op1(op1(e10,e10),e10),e12)**.
% 0.45/0.62 96[0:Inp] || -> equal(op2(op2(e20,e20),e20),e22)**.
% 0.45/0.62 97[0:Inp] || equal(op1(e11,e10),op1(e10,e10))** -> .
% 0.45/0.62 100[0:Inp] || equal(op1(e12,e10),op1(e11,e10))** -> .
% 0.45/0.62 101[0:Inp] || equal(op1(e13,e10),op1(e11,e10))** -> .
% 0.45/0.62 104[0:Inp] || equal(op1(e12,e11),op1(e10,e11))** -> .
% 0.45/0.62 107[0:Inp] || equal(op1(e13,e11),op1(e11,e11))** -> .
% 0.45/0.62 108[0:Inp] || equal(op1(e13,e11),op1(e12,e11))** -> .
% 0.45/0.62 112[0:Inp] || equal(op1(e12,e12),op1(e11,e12))** -> .
% 0.45/0.62 113[0:Inp] || equal(op1(e13,e12),op1(e11,e12))** -> .
% 0.45/0.62 114[0:Inp] || equal(op1(e13,e12),op1(e12,e12))** -> .
% 0.45/0.62 117[0:Inp] || equal(op1(e13,e13),op1(e10,e13))** -> .
% 0.45/0.62 118[0:Inp] || equal(op1(e12,e13),op1(e11,e13))** -> .
% 0.45/0.62 119[0:Inp] || equal(op1(e13,e13),op1(e11,e13))** -> .
% 0.45/0.62 121[0:Inp] || equal(op1(e10,e11),op1(e10,e10))** -> .
% 0.45/0.62 122[0:Inp] || equal(op1(e10,e12),op1(e10,e10))** -> .
% 0.45/0.62 123[0:Inp] || equal(op1(e10,e13),op1(e10,e10))** -> .
% 0.45/0.62 124[0:Inp] || equal(op1(e10,e12),op1(e10,e11))** -> .
% 0.45/0.62 126[0:Inp] || equal(op1(e10,e13),op1(e10,e12))** -> .
% 0.45/0.62 127[0:Inp] || equal(op1(e11,e11),op1(e11,e10))** -> .
% 0.45/0.62 129[0:Inp] || equal(op1(e11,e13),op1(e11,e10))** -> .
% 0.45/0.62 133[0:Inp] || equal(op1(e12,e11),op1(e12,e10))** -> .
% 0.45/0.62 134[0:Inp] || equal(op1(e12,e12),op1(e12,e10))** -> .
% 0.45/0.62 136[0:Inp] || equal(op1(e12,e12),op1(e12,e11))** -> .
% 0.45/0.62 137[0:Inp] || equal(op1(e12,e13),op1(e12,e11))** -> .
% 0.45/0.62 138[0:Inp] || equal(op1(e12,e13),op1(e12,e12))** -> .
% 0.45/0.62 140[0:Inp] || equal(op1(e13,e12),op1(e13,e10))** -> .
% 0.45/0.62 141[0:Inp] || equal(op1(e13,e13),op1(e13,e10))** -> .
% 0.45/0.62 142[0:Inp] || equal(op1(e13,e12),op1(e13,e11))** -> .
% 0.45/0.62 143[0:Inp] || equal(op1(e13,e13),op1(e13,e11))** -> .
% 0.45/0.62 144[0:Inp] || equal(op1(e13,e13),op1(e13,e12))** -> .
% 0.45/0.62 148[0:Inp] || equal(op2(e22,e20),op2(e21,e20))** -> .
% 0.45/0.62 154[0:Inp] || equal(op2(e22,e21),op2(e21,e21))** -> .
% 0.45/0.62 161[0:Inp] || equal(op2(e23,e22),op2(e21,e22))** -> .
% 0.45/0.62 162[0:Inp] || equal(op2(e23,e22),op2(e22,e22))** -> .
% 0.45/0.62 165[0:Inp] || equal(op2(e23,e23),op2(e20,e23))** -> .
% 0.45/0.62 167[0:Inp] || equal(op2(e23,e23),op2(e21,e23))** -> .
% 0.45/0.62 169[0:Inp] || equal(op2(e20,e21),op2(e20,e20))** -> .
% 0.45/0.62 170[0:Inp] || equal(op2(e20,e22),op2(e20,e20))** -> .
% 0.45/0.62 171[0:Inp] || equal(op2(e20,e23),op2(e20,e20))** -> .
% 0.45/0.62 175[0:Inp] || equal(op2(e21,e21),op2(e21,e20))** -> .
% 0.45/0.62 177[0:Inp] || equal(op2(e21,e23),op2(e21,e20))** -> .
% 0.45/0.62 178[0:Inp] || equal(op2(e21,e22),op2(e21,e21))** -> .
% 0.45/0.62 179[0:Inp] || equal(op2(e21,e23),op2(e21,e21))** -> .
% 0.45/0.62 181[0:Inp] || equal(op2(e22,e21),op2(e22,e20))** -> .
% 0.45/0.62 182[0:Inp] || equal(op2(e22,e22),op2(e22,e20))** -> .
% 0.45/0.62 184[0:Inp] || equal(op2(e22,e22),op2(e22,e21))** -> .
% 0.45/0.62 186[0:Inp] || equal(op2(e22,e23),op2(e22,e22))** -> .
% 0.45/0.62 188[0:Inp] || equal(op2(e23,e22),op2(e23,e20))** -> .
% 0.45/0.62 189[0:Inp] || equal(op2(e23,e23),op2(e23,e20))** -> .
% 0.45/0.62 192[0:Inp] || equal(op2(e23,e23),op2(e23,e22))** -> .
% 0.45/0.62 193[0:Inp] || -> equal(op2(op2(e20,e20),e20),h1(e12))**.
% 0.45/0.62 194[0:Inp] || -> equal(op2(op2(e21,e21),e21),h2(e12))**.
% 0.45/0.62 196[0:Inp] || -> equal(op2(op2(e23,e23),e23),h4(e12))**.
% 0.45/0.62 197[0:Inp] || -> equal(op1(op1(op1(e10,e10),e10),e10),e11)**.
% 0.45/0.62 198[0:Inp] || -> equal(op2(op2(op2(e20,e20),e20),e20),e21)**.
% 0.45/0.62 199[0:Inp] || -> equal(op2(op2(op2(e20,e20),e20),e20),h1(e11))**.
% 0.45/0.62 200[0:Inp] || -> equal(op2(op2(op2(e21,e21),e21),e21),h2(e11))**.
% 0.45/0.62 210[0:Inp] || equal(op1(e12,e12),e10)** SkC0 -> equal(op1(e12,e10),e12).
% 0.45/0.62 212[0:Inp] || equal(op1(e13,e11),e10)** SkC0 -> equal(op1(e13,e10),e11).
% 0.45/0.62 214[0:Inp] || equal(op1(e13,e13),e10)** SkC0 -> equal(op1(e13,e10),e13).
% 0.45/0.62 219[0:Inp] || SkC1 equal(op1(e11,e12),e11)** -> equal(op1(e11,e11),e12).
% 0.45/0.62 221[0:Inp] || equal(op1(e12,e10),e11) SkC1 -> equal(op1(e12,e11),e10)**.
% 0.45/0.62 236[0:Inp] || equal(op1(e13,e10),e12) SkC2 -> equal(op1(e13,e12),e10)**.
% 0.45/0.62 246[0:Inp] || equal(op2(e22,e22),e20)** SkC3 -> equal(op2(e22,e20),e22).
% 0.45/0.62 257[0:Inp] || equal(op2(e22,e20),e21) SkC4 -> equal(op2(e22,e21),e20)**.
% 0.45/0.62 271[0:Inp] || equal(op2(e22,e23),e22)** SkC5 -> equal(op2(e22,e22),e23).
% 0.45/0.62 272[0:Inp] || equal(op2(e23,e20),e22) SkC5 -> equal(op2(e23,e22),e20)**.
% 0.45/0.62 275[0:Inp] || equal(op1(e10,e10),e13) -> equal(op1(e10,e13),e10)** SkC0 SkC1 SkC2.
% 0.45/0.62 286[0:Inp] || equal(op1(e13,e12),e13) -> equal(op1(e13,e13),e12)** SkC0 SkC1 SkC2.
% 0.45/0.62 287[0:Inp] || equal(op2(e20,e20),e23) -> equal(op2(e20,e23),e20)** SkC3 SkC4 SkC5.
% 0.45/0.62 291[0:Inp] || equal(op2(e21,e21),e23) -> equal(op2(e21,e23),e21)** SkC3 SkC4 SkC5.
% 0.45/0.62 298[0:Inp] || equal(op2(e23,e22),e23) -> equal(op2(e23,e23),e22)** SkC3 SkC4 SkC5.
% 0.45/0.62 299[0:Inp] || -> equal(op2(e20,e23),e23) equal(op2(e21,e23),e23) equal(op2(e22,e23),e23) equal(op2(e23,e23),e23)**.
% 0.45/0.62 305[0:Inp] || -> equal(op2(e20,e23),e20) equal(op2(e21,e23),e20) equal(op2(e22,e23),e20) equal(op2(e23,e23),e20)**.
% 0.45/0.62 307[0:Inp] || -> equal(op2(e20,e22),e23) equal(op2(e21,e22),e23) equal(op2(e22,e22),e23) equal(op2(e23,e22),e23)**.
% 0.45/0.62 309[0:Inp] || -> equal(op2(e20,e22),e22) equal(op2(e21,e22),e22) equal(op2(e22,e22),e22) equal(op2(e23,e22),e22)**.
% 0.45/0.62 310[0:Inp] || -> equal(op2(e22,e20),e22) equal(op2(e22,e21),e22) equal(op2(e22,e22),e22) equal(op2(e22,e23),e22)**.
% 0.45/0.62 315[0:Inp] || -> equal(op2(e20,e21),e23) equal(op2(e21,e21),e23) equal(op2(e22,e21),e23) equal(op2(e23,e21),e23)**.
% 0.45/0.62 319[0:Inp] || -> equal(op2(e20,e21),e21) equal(op2(e21,e21),e21) equal(op2(e22,e21),e21) equal(op2(e23,e21),e21)**.
% 0.45/0.62 320[0:Inp] || -> equal(op2(e21,e20),e21) equal(op2(e21,e21),e21) equal(op2(e21,e22),e21) equal(op2(e21,e23),e21)**.
% 0.45/0.62 329[0:Inp] || -> equal(op2(e20,e20),e20) equal(op2(e21,e20),e20) equal(op2(e22,e20),e20) equal(op2(e23,e20),e20)**.
% 0.45/0.62 331[0:Inp] || -> equal(op2(e23,e23),e20) equal(op2(e23,e23),e21) equal(op2(e23,e23),e22) equal(op2(e23,e23),e23)**.
% 0.45/0.62 332[0:Inp] || -> equal(op2(e23,e22),e20) equal(op2(e23,e22),e21) equal(op2(e23,e22),e22) equal(op2(e23,e22),e23)**.
% 0.45/0.62 336[0:Inp] || -> equal(op2(e22,e22),e20) equal(op2(e22,e22),e21) equal(op2(e22,e22),e22) equal(op2(e22,e22),e23)**.
% 0.45/0.62 337[0:Inp] || -> equal(op2(e22,e21),e20) equal(op2(e22,e21),e21) equal(op2(e22,e21),e22) equal(op2(e22,e21),e23)**.
% 0.45/0.62 339[0:Inp] || -> equal(op2(e21,e23),e20) equal(op2(e21,e23),e21) equal(op2(e21,e23),e22) equal(op2(e21,e23),e23)**.
% 0.45/0.62 341[0:Inp] || -> equal(op2(e21,e21),e20) equal(op2(e21,e21),e21) equal(op2(e21,e21),e22) equal(op2(e21,e21),e23)**.
% 0.45/0.62 347[0:Inp] || -> equal(op1(e10,e13),e13) equal(op1(e11,e13),e13) equal(op1(e12,e13),e13) equal(op1(e13,e13),e13)**.
% 0.45/0.62 348[0:Inp] || -> equal(op1(e13,e10),e13) equal(op1(e13,e11),e13) equal(op1(e13,e12),e13) equal(op1(e13,e13),e13)**.
% 0.45/0.62 349[0:Inp] || -> equal(op1(e10,e13),e12) equal(op1(e11,e13),e12) equal(op1(e12,e13),e12) equal(op1(e13,e13),e12)**.
% 0.45/0.62 353[0:Inp] || -> equal(op1(e10,e13),e10) equal(op1(e11,e13),e10) equal(op1(e12,e13),e10) equal(op1(e13,e13),e10)**.
% 0.45/0.62 355[0:Inp] || -> equal(op1(e10,e12),e13) equal(op1(e11,e12),e13) equal(op1(e12,e12),e13) equal(op1(e13,e12),e13)**.
% 0.45/0.62 357[0:Inp] || -> equal(op1(e10,e12),e12) equal(op1(e11,e12),e12) equal(op1(e12,e12),e12) equal(op1(e13,e12),e12)**.
% 0.45/0.62 363[0:Inp] || -> equal(op1(e10,e11),e13) equal(op1(e11,e11),e13) equal(op1(e12,e11),e13) equal(op1(e13,e11),e13)**.
% 0.45/0.62 364[0:Inp] || -> equal(op1(e11,e10),e13) equal(op1(e11,e11),e13) equal(op1(e11,e12),e13) equal(op1(e11,e13),e13)**.
% 0.45/0.62 366[0:Inp] || -> equal(op1(e11,e10),e12) equal(op1(e11,e11),e12) equal(op1(e11,e12),e12) equal(op1(e11,e13),e12)**.
% 0.45/0.62 367[0:Inp] || -> equal(op1(e10,e11),e11) equal(op1(e11,e11),e11) equal(op1(e12,e11),e11) equal(op1(e13,e11),e11)**.
% 0.45/0.62 368[0:Inp] || -> equal(op1(e11,e10),e11) equal(op1(e11,e11),e11) equal(op1(e11,e12),e11) equal(op1(e11,e13),e11)**.
% 0.45/0.62 369[0:Inp] || -> equal(op1(e10,e11),e10) equal(op1(e11,e11),e10) equal(op1(e12,e11),e10) equal(op1(e13,e11),e10)**.
% 0.45/0.62 377[0:Inp] || -> equal(op1(e10,e10),e10) equal(op1(e11,e10),e10) equal(op1(e12,e10),e10) equal(op1(e13,e10),e10)**.
% 0.45/0.62 379[0:Inp] || -> equal(op1(e13,e13),e10) equal(op1(e13,e13),e11) equal(op1(e13,e13),e12) equal(op1(e13,e13),e13)**.
% 0.45/0.62 380[0:Inp] || -> equal(op1(e13,e12),e10) equal(op1(e13,e12),e11) equal(op1(e13,e12),e12) equal(op1(e13,e12),e13)**.
% 0.45/0.62 384[0:Inp] || -> equal(op1(e12,e12),e10) equal(op1(e12,e12),e11) equal(op1(e12,e12),e12) equal(op1(e12,e12),e13)**.
% 0.45/0.62 385[0:Inp] || -> equal(op1(e12,e11),e10) equal(op1(e12,e11),e11) equal(op1(e12,e11),e12) equal(op1(e12,e11),e13)**.
% 0.45/0.62 389[0:Inp] || -> equal(op1(e11,e11),e10) equal(op1(e11,e11),e11) equal(op1(e11,e11),e12) equal(op1(e11,e11),e13)**.
% 0.45/0.62 393[0:Inp] || -> equal(op1(e10,e11),e10) equal(op1(e10,e11),e11) equal(op1(e10,e11),e12) equal(op1(e10,e11),e13)**.
% 0.45/0.62 407[0:Inp] || equal(h1(e13),e23) equal(op2(h1(e10),h1(e10)),h1(op1(e10,e10))) equal(op2(h1(e10),h1(e11)),h1(op1(e10,e11))) equal(op2(h1(e10),h1(e12)),h1(op1(e10,e12))) equal(op2(h1(e10),h1(e13)),h1(op1(e10,e13))) equal(op2(h1(e11),h1(e10)),h1(op1(e11,e10))) equal(op2(h1(e11),h1(e11)),h1(op1(e11,e11))) equal(op2(h1(e11),h1(e12)),h1(op1(e11,e12))) equal(op2(h1(e11),h1(e13)),h1(op1(e11,e13))) equal(op2(h1(e12),h1(e10)),h1(op1(e12,e10))) equal(op2(h1(e12),h1(e11)),h1(op1(e12,e11))) equal(op2(h1(e12),h1(e12)),h1(op1(e12,e12))) equal(op2(h1(e12),h1(e13)),h1(op1(e12,e13))) equal(op2(h1(e13),h1(e10)),h1(op1(e13,e10))) equal(op2(h1(e13),h1(e11)),h1(op1(e13,e11))) equal(op2(h1(e13),h1(e12)),h1(op1(e13,e12))) equal(op2(h1(e13),h1(e13)),h1(op1(e13,e13)))** SkC6 SkC7 SkC8 -> .
% 0.45/0.62 411[0:Rew:34.0,91.0] || -> equal(h1(e13),e23)**.
% 0.45/0.62 412[0:Rew:94.0,90.0] || equal(h4(e13),e23)** -> .
% 0.45/0.62 413[0:Rew:93.0,89.0] || equal(h3(e13),e22)** -> .
% 0.45/0.62 414[0:Rew:92.0,88.0] || equal(h2(e13),e21)** -> .
% 0.45/0.62 433[0:Rew:29.0,35.0] || equal(e20,e20) -> SkC6*.
% 0.45/0.62 434[0:Obv:433.0] || -> SkC6*.
% 0.45/0.62 435[0:Rew:34.0,96.0] || -> equal(op2(e23,e20),e22)**.
% 0.45/0.62 436[0:Rew:33.0,95.0] || -> equal(op1(e13,e10),e12)**.
% 0.45/0.62 437[0:Rew:94.0,196.0] || -> equal(op2(h4(e13),e23),h4(e12))**.
% 0.45/0.62 439[0:Rew:92.0,194.0] || -> equal(op2(h2(e13),e21),h2(e12))**.
% 0.45/0.62 440[0:Rew:435.0,193.0,34.0,193.0] || -> equal(h1(e12),e22)**.
% 0.45/0.62 441[0:Rew:440.0,45.0] || equal(e22,e22) -> SkC8*.
% 0.45/0.62 443[0:Obv:441.0] || -> SkC8*.
% 0.45/0.62 444[0:Rew:94.0,192.0] || equal(op2(e23,e22),h4(e13))** -> .
% 0.45/0.62 446[0:Rew:94.0,189.0,435.0,189.0] || equal(h4(e13),e22)** -> .
% 0.45/0.62 447[0:Rew:435.0,188.0] || equal(op2(e23,e22),e22)** -> .
% 0.45/0.62 449[0:Rew:93.0,186.0] || equal(op2(e22,e23),h3(e13))** -> .
% 0.45/0.62 450[0:Rew:93.0,184.0] || equal(op2(e22,e21),h3(e13))** -> .
% 0.45/0.62 451[0:Rew:93.0,182.0] || equal(op2(e22,e20),h3(e13))** -> .
% 0.45/0.62 452[0:Rew:92.0,179.0] || equal(op2(e21,e23),h2(e13))** -> .
% 0.45/0.62 453[0:Rew:92.0,178.0] || equal(op2(e21,e22),h2(e13))** -> .
% 0.45/0.62 454[0:Rew:92.0,175.0] || equal(op2(e21,e20),h2(e13))** -> .
% 0.45/0.62 455[0:Rew:34.0,171.0] || equal(op2(e20,e23),e23)** -> .
% 0.45/0.62 456[0:Rew:34.0,170.0] || equal(op2(e20,e22),e23)** -> .
% 0.45/0.62 457[0:Rew:34.0,169.0] || equal(op2(e20,e21),e23)** -> .
% 0.45/0.62 459[0:Rew:94.0,167.0] || equal(op2(e21,e23),h4(e13))** -> .
% 0.45/0.62 460[0:Rew:94.0,165.0] || equal(op2(e20,e23),h4(e13))** -> .
% 0.45/0.62 461[0:Rew:93.0,162.0] || equal(op2(e23,e22),h3(e13))** -> .
% 0.45/0.62 465[0:Rew:92.0,154.0] || equal(op2(e22,e21),h2(e13))** -> .
% 0.45/0.62 472[0:Rew:436.0,141.0] || equal(op1(e13,e13),e12)** -> .
% 0.45/0.62 473[0:Rew:436.0,140.0] || equal(op1(e13,e12),e12)** -> .
% 0.45/0.62 475[0:Rew:33.0,123.0] || equal(op1(e10,e13),e13)** -> .
% 0.45/0.62 476[0:Rew:33.0,122.0] || equal(op1(e10,e12),e13)** -> .
% 0.45/0.62 477[0:Rew:33.0,121.0] || equal(op1(e10,e11),e13)** -> .
% 0.45/0.62 479[0:Rew:436.0,101.0] || equal(op1(e11,e10),e12)** -> .
% 0.45/0.62 482[0:Rew:33.0,97.0] || equal(op1(e11,e10),e13)** -> .
% 0.45/0.62 483[0:Rew:435.0,198.0,34.0,198.0] || -> equal(op2(e22,e20),e21)**.
% 0.45/0.62 485[0:Rew:483.0,451.0] || equal(h3(e13),e21)** -> .
% 0.45/0.62 486[0:Rew:483.0,181.0] || equal(op2(e22,e21),e21)** -> .
% 0.45/0.62 488[0:Rew:483.0,148.0] || equal(op2(e21,e20),e21)** -> .
% 0.45/0.62 490[0:Rew:436.0,197.0,33.0,197.0] || -> equal(op1(e12,e10),e11)**.
% 0.45/0.62 492[0:Rew:490.0,134.0] || equal(op1(e12,e12),e11)** -> .
% 0.45/0.62 493[0:Rew:490.0,133.0] || equal(op1(e12,e11),e11)** -> .
% 0.45/0.62 495[0:Rew:490.0,100.0] || equal(op1(e11,e10),e11)** -> .
% 0.45/0.62 499[0:Rew:439.0,200.0,92.0,200.0] || -> equal(op2(h2(e12),e21),h2(e11))**.
% 0.45/0.62 500[0:Rew:483.0,199.0,435.0,199.0,34.0,199.0] || -> equal(h1(e11),e21)**.
% 0.45/0.62 501[0:Rew:500.0,40.0] || equal(e21,e21) -> SkC7*.
% 0.45/0.62 502[0:Obv:501.0] || -> SkC7*.
% 0.45/0.62 504[0:Rew:435.0,272.0] || equal(e22,e22) SkC5 -> equal(op2(e23,e22),e20)**.
% 0.45/0.62 505[0:Obv:504.0] || SkC5 -> equal(op2(e23,e22),e20)**.
% 0.45/0.62 506[0:Rew:93.0,271.2] || SkC5 equal(op2(e22,e23),e22)** -> equal(h3(e13),e23).
% 0.45/0.62 517[0:Rew:483.0,257.0] || equal(e21,e21) SkC4 -> equal(op2(e22,e21),e20)**.
% 0.45/0.62 518[0:Obv:517.0] || SkC4 -> equal(op2(e22,e21),e20)**.
% 0.45/0.62 529[0:Rew:483.0,246.2,93.0,246.0] || equal(h3(e13),e20)** SkC3 -> equal(e22,e21).
% 0.45/0.62 530[0:MRR:529.2,10.0] || SkC3 equal(h3(e13),e20)** -> .
% 0.45/0.62 539[0:Rew:436.0,236.0] || equal(e12,e12) SkC2 -> equal(op1(e13,e12),e10)**.
% 0.45/0.62 540[0:Obv:539.0] || SkC2 -> equal(op1(e13,e12),e10)**.
% 0.45/0.62 547[0:Rew:490.0,221.0] || equal(e11,e11) SkC1 -> equal(op1(e12,e11),e10)**.
% 0.45/0.62 548[0:Obv:547.0] || SkC1 -> equal(op1(e12,e11),e10)**.
% 0.45/0.62 551[0:Rew:436.0,214.2] || equal(op1(e13,e13),e10)** SkC0 -> equal(e13,e12).
% 0.45/0.62 552[0:MRR:551.2,6.0] || SkC0 equal(op1(e13,e13),e10)** -> .
% 0.45/0.62 553[0:Rew:436.0,212.2] || equal(op1(e13,e11),e10)** SkC0 -> equal(e12,e11).
% 0.45/0.62 554[0:MRR:553.2,4.0] || SkC0 equal(op1(e13,e11),e10)** -> .
% 0.45/0.62 557[0:Rew:490.0,210.2] || equal(op1(e12,e12),e10)** SkC0 -> equal(e12,e11).
% 0.45/0.62 558[0:MRR:557.2,4.0] || SkC0 equal(op1(e12,e12),e10)** -> .
% 0.45/0.62 566[0:Rew:94.0,298.1] || equal(op2(e23,e22),e23)** -> equal(h4(e13),e22) SkC3 SkC4 SkC5.
% 0.45/0.62 567[0:MRR:566.1,446.0] || equal(op2(e23,e22),e23)** -> SkC5 SkC4 SkC3.
% 0.45/0.62 573[0:Rew:92.0,291.0] || equal(h2(e13),e23) -> SkC5 SkC4 SkC3 equal(op2(e21,e23),e21)**.
% 0.45/0.62 574[0:Rew:34.0,287.0] || equal(e23,e23) -> equal(op2(e20,e23),e20)** SkC3 SkC4 SkC5.
% 0.45/0.62 575[0:Obv:574.0] || -> SkC5 SkC4 SkC3 equal(op2(e20,e23),e20)**.
% 0.45/0.62 576[0:MRR:286.1,472.0] || equal(op1(e13,e12),e13)** -> SkC2 SkC1 SkC0.
% 0.45/0.62 580[0:Rew:33.0,275.0] || equal(e13,e13) -> equal(op1(e10,e13),e10)** SkC0 SkC1 SkC2.
% 0.45/0.62 581[0:Obv:580.0] || -> SkC2 SkC1 SkC0 equal(op1(e10,e13),e10)**.
% 0.45/0.62 582[0:Rew:94.0,299.3] || -> equal(op2(e20,e23),e23) equal(op2(e21,e23),e23) equal(op2(e22,e23),e23)** equal(h4(e13),e23).
% 0.45/0.62 583[0:MRR:582.0,582.3,455.0,412.0] || -> equal(op2(e22,e23),e23)** equal(op2(e21,e23),e23).
% 0.45/0.62 592[0:Rew:94.0,305.3] || -> equal(op2(e20,e23),e20) equal(op2(e21,e23),e20) equal(op2(e22,e23),e20)** equal(h4(e13),e20).
% 0.45/0.62 595[0:Rew:93.0,307.2] || -> equal(op2(e20,e22),e23) equal(op2(e21,e22),e23) equal(h3(e13),e23) equal(op2(e23,e22),e23)**.
% 0.45/0.62 596[0:MRR:595.0,456.0] || -> equal(h3(e13),e23) equal(op2(e23,e22),e23)** equal(op2(e21,e22),e23).
% 0.45/0.62 599[0:Rew:93.0,309.2] || -> equal(op2(e20,e22),e22) equal(op2(e21,e22),e22) equal(h3(e13),e22) equal(op2(e23,e22),e22)**.
% 0.45/0.62 600[0:MRR:599.2,599.3,413.0,447.0] || -> equal(op2(e21,e22),e22)** equal(op2(e20,e22),e22).
% 0.45/0.62 601[0:Rew:93.0,310.2,483.0,310.0] || -> equal(e22,e21) equal(op2(e22,e21),e22) equal(h3(e13),e22) equal(op2(e22,e23),e22)**.
% 0.45/0.62 602[0:MRR:601.0,601.2,10.0,413.0] || -> equal(op2(e22,e23),e22)** equal(op2(e22,e21),e22).
% 0.45/0.62 608[0:Rew:92.0,315.1] || -> equal(op2(e20,e21),e23) equal(h2(e13),e23) equal(op2(e22,e21),e23) equal(op2(e23,e21),e23)**.
% 0.45/0.62 609[0:MRR:608.0,457.0] || -> equal(h2(e13),e23) equal(op2(e23,e21),e23)** equal(op2(e22,e21),e23).
% 0.45/0.62 616[0:Rew:92.0,319.1] || -> equal(op2(e20,e21),e21) equal(h2(e13),e21) equal(op2(e22,e21),e21) equal(op2(e23,e21),e21)**.
% 0.45/0.62 617[0:MRR:616.1,616.2,414.0,486.0] || -> equal(op2(e23,e21),e21)** equal(op2(e20,e21),e21).
% 0.45/0.62 618[0:Rew:92.0,320.1] || -> equal(op2(e21,e20),e21) equal(h2(e13),e21) equal(op2(e21,e22),e21) equal(op2(e21,e23),e21)**.
% 0.45/0.62 619[0:MRR:618.0,618.1,488.0,414.0] || -> equal(op2(e21,e23),e21)** equal(op2(e21,e22),e21).
% 0.45/0.62 626[0:Rew:435.0,329.3,483.0,329.2,34.0,329.0] || -> equal(e23,e20) equal(op2(e21,e20),e20)** equal(e21,e20) equal(e22,e20).
% 0.45/0.62 627[0:MRR:626.0,626.2,626.3,9.0,7.0,8.0] || -> equal(op2(e21,e20),e20)**.
% 0.45/0.62 628[0:Rew:627.0,177.0] || equal(op2(e21,e23),e20)** -> .
% 0.45/0.62 630[0:Rew:627.0,454.0] || equal(h2(e13),e20)** -> .
% 0.45/0.62 635[0:MRR:592.1,628.0] || -> equal(h4(e13),e20) equal(op2(e20,e23),e20) equal(op2(e22,e23),e20)**.
% 0.45/0.62 639[0:Rew:94.0,331.3,94.0,331.2,94.0,331.1,94.0,331.0] || -> equal(h4(e13),e20) equal(h4(e13),e21) equal(h4(e13),e22) equal(h4(e13),e23)**.
% 0.45/0.62 640[0:MRR:639.2,639.3,446.0,412.0] || -> equal(h4(e13),e21)** equal(h4(e13),e20).
% 0.45/0.62 641[0:MRR:332.2,447.0] || -> equal(op2(e23,e22),e23)** equal(op2(e23,e22),e21) equal(op2(e23,e22),e20).
% 0.45/0.62 644[0:Rew:93.0,336.3,93.0,336.2,93.0,336.1,93.0,336.0] || -> equal(h3(e13),e20) equal(h3(e13),e21) equal(h3(e13),e22) equal(h3(e13),e23)**.
% 0.45/0.62 645[0:MRR:644.1,644.2,485.0,413.0] || -> equal(h3(e13),e23)** equal(h3(e13),e20).
% 0.45/0.62 646[0:MRR:337.1,486.0] || -> equal(op2(e22,e21),e22) equal(op2(e22,e21),e23)** equal(op2(e22,e21),e20).
% 0.45/0.62 647[0:MRR:339.0,628.0] || -> equal(op2(e21,e23),e23)** equal(op2(e21,e23),e21) equal(op2(e21,e23),e22).
% 0.45/0.62 649[0:Rew:92.0,341.3,92.0,341.2,92.0,341.1,92.0,341.0] || -> equal(h2(e13),e20) equal(h2(e13),e21) equal(h2(e13),e22) equal(h2(e13),e23)**.
% 0.45/0.62 650[0:MRR:649.0,649.1,630.0,414.0] || -> equal(h2(e13),e23)** equal(h2(e13),e22).
% 0.45/0.62 654[0:MRR:347.0,347.3,475.0,86.0] || -> equal(op1(e12,e13),e13)** equal(op1(e11,e13),e13).
% 0.45/0.62 655[0:Rew:436.0,348.0] || -> equal(e13,e12) equal(op1(e13,e11),e13) equal(op1(e13,e12),e13) equal(op1(e13,e13),e13)**.
% 0.45/0.62 656[0:MRR:655.0,655.3,6.0,86.0] || -> equal(op1(e13,e12),e13)** equal(op1(e13,e11),e13).
% 0.45/0.62 657[0:MRR:349.3,472.0] || -> equal(op1(e12,e13),e12)** equal(op1(e11,e13),e12) equal(op1(e10,e13),e12).
% 0.45/0.62 663[0:MRR:355.0,476.0] || -> equal(op1(e13,e12),e13)** equal(op1(e12,e12),e13) equal(op1(e11,e12),e13).
% 0.45/0.62 666[0:MRR:357.2,357.3,85.0,473.0] || -> equal(op1(e11,e12),e12)** equal(op1(e10,e12),e12).
% 0.45/0.62 672[0:MRR:363.0,477.0] || -> equal(op1(e13,e11),e13)** equal(op1(e11,e11),e13) equal(op1(e12,e11),e13).
% 0.45/0.62 673[0:MRR:364.0,482.0] || -> equal(op1(e11,e13),e13)** equal(op1(e11,e11),e13) equal(op1(e11,e12),e13).
% 0.45/0.62 675[0:MRR:366.0,479.0] || -> equal(op1(e11,e12),e12) equal(op1(e11,e11),e12) equal(op1(e11,e13),e12)**.
% 0.45/0.62 676[0:MRR:367.1,367.2,84.0,493.0] || -> equal(op1(e13,e11),e11)** equal(op1(e10,e11),e11).
% 0.45/0.62 677[0:MRR:368.0,368.1,495.0,84.0] || -> equal(op1(e11,e13),e11)** equal(op1(e11,e12),e11).
% 0.45/0.62 682[0:Rew:436.0,377.3,490.0,377.2,33.0,377.0] || -> equal(e13,e10) equal(op1(e11,e10),e10)** equal(e11,e10) equal(e12,e10).
% 0.45/0.62 683[0:MRR:682.0,682.2,682.3,3.0,1.0,2.0] || -> equal(op1(e11,e10),e10)**.
% 0.45/0.62 684[0:Rew:683.0,129.0] || equal(op1(e11,e13),e10)** -> .
% 0.45/0.62 686[0:Rew:683.0,127.0] || equal(op1(e11,e11),e10)** -> .
% 0.45/0.62 690[0:MRR:353.1,684.0] || -> equal(op1(e13,e13),e10)** equal(op1(e10,e13),e10) equal(op1(e12,e13),e10).
% 0.45/0.62 692[0:MRR:369.1,686.0] || -> equal(op1(e10,e11),e10) equal(op1(e13,e11),e10)** equal(op1(e12,e11),e10).
% 0.45/0.62 695[0:MRR:379.2,379.3,472.0,86.0] || -> equal(op1(e13,e13),e11)** equal(op1(e13,e13),e10).
% 0.45/0.62 696[0:MRR:380.2,473.0] || -> equal(op1(e13,e12),e13)** equal(op1(e13,e12),e11) equal(op1(e13,e12),e10).
% 0.45/0.62 699[0:MRR:384.1,384.2,492.0,85.0] || -> equal(op1(e12,e12),e13)** equal(op1(e12,e12),e10).
% 0.45/0.62 700[0:MRR:385.1,493.0] || -> equal(op1(e12,e11),e12) equal(op1(e12,e11),e13)** equal(op1(e12,e11),e10).
% 0.45/0.62 703[0:MRR:389.0,389.1,686.0,84.0] || -> equal(op1(e11,e11),e13)** equal(op1(e11,e11),e12).
% 0.45/0.62 706[0:MRR:393.3,477.0] || -> equal(op1(e10,e11),e11) equal(op1(e10,e11),e10) equal(op1(e10,e11),e12)**.
% 0.45/0.62 735[0:Rew:94.0,407.16,411.0,407.16,411.0,407.15,440.0,407.15,411.0,407.14,500.0,407.14,435.0,407.13,411.0,407.13,29.0,407.13,440.0,407.13,436.0,407.13,440.0,407.12,411.0,407.12,93.0,407.11,440.0,407.11,440.0,407.10,500.0,407.10,483.0,407.9,440.0,407.9,29.0,407.9,500.0,407.9,490.0,407.9,500.0,407.8,411.0,407.8,500.0,407.7,440.0,407.7,92.0,407.6,500.0,407.6,627.0,407.5,500.0,407.5,29.0,407.5,683.0,407.5,29.0,407.4,411.0,407.4,29.0,407.3,440.0,407.3,29.0,407.2,500.0,407.2,34.0,407.1,29.0,407.1,411.0,407.1,33.0,407.1,411.0,407.0] || equal(e23,e23) equal(e23,e23) equal(h1(op1(e10,e11)),op2(e20,e21)) equal(h1(op1(e10,e12)),op2(e20,e22)) equal(h1(op1(e10,e13)),op2(e20,e23)) equal(e20,e20) equal(h1(op1(e11,e11)),h2(e13)) equal(h1(op1(e11,e12)),op2(e21,e22)) equal(h1(op1(e11,e13)),op2(e21,e23)) equal(e21,e21) equal(h1(op1(e12,e11)),op2(e22,e21)) equal(h1(op1(e12,e12)),h3(e13)) equal(h1(op1(e12,e13)),op2(e22,e23)) equal(e22,e22) equal(h1(op1(e13,e11)),op2(e23,e21)) equal(h1(op1(e13,e12)),op2(e23,e22)) equal(h1(op1(e13,e13)),h4(e13))** SkC6 SkC7 SkC8 -> .
% 0.45/0.62 736[0:Obv:735.13] || equal(h1(op1(e10,e11)),op2(e20,e21)) equal(h1(op1(e10,e12)),op2(e20,e22)) equal(h1(op1(e10,e13)),op2(e20,e23)) equal(h1(op1(e11,e11)),h2(e13)) equal(h1(op1(e11,e12)),op2(e21,e22)) equal(h1(op1(e11,e13)),op2(e21,e23)) equal(h1(op1(e12,e11)),op2(e22,e21)) equal(h1(op1(e12,e12)),h3(e13)) equal(h1(op1(e12,e13)),op2(e22,e23)) equal(h1(op1(e13,e11)),op2(e23,e21)) equal(h1(op1(e13,e12)),op2(e23,e22)) equal(h1(op1(e13,e13)),h4(e13))** SkC6 SkC7 SkC8 -> .
% 0.45/0.62 737[0:MRR:736.12,736.13,736.14,434.0,502.0,443.0] || equal(h1(op1(e13,e13)),h4(e13))** equal(h1(op1(e12,e12)),h3(e13)) equal(h1(op1(e11,e11)),h2(e13)) equal(h1(op1(e13,e12)),op2(e23,e22)) equal(h1(op1(e13,e11)),op2(e23,e21)) equal(h1(op1(e12,e13)),op2(e22,e23)) equal(h1(op1(e12,e11)),op2(e22,e21)) equal(h1(op1(e11,e13)),op2(e21,e23)) equal(h1(op1(e11,e12)),op2(e21,e22)) equal(h1(op1(e10,e13)),op2(e20,e23)) equal(h1(op1(e10,e12)),op2(e20,e22)) equal(h1(op1(e10,e11)),op2(e20,e21)) -> .
% 0.45/0.62 744[1:Spt:677.0] || -> equal(op1(e11,e13),e11)**.
% 0.45/0.62 750[1:Rew:744.0,673.0] || -> equal(e13,e11) equal(op1(e11,e11),e13) equal(op1(e11,e12),e13)**.
% 0.45/0.62 761[1:Rew:744.0,119.0] || equal(op1(e13,e13),e11)** -> .
% 0.45/0.62 769[1:MRR:695.0,761.0] || -> equal(op1(e13,e13),e10)**.
% 0.45/0.62 772[1:Rew:769.0,552.1] || SkC0* equal(e10,e10) -> .
% 0.45/0.62 775[1:Rew:769.0,144.0] || equal(op1(e13,e12),e10)** -> .
% 0.45/0.62 778[1:Rew:769.0,117.0] || equal(op1(e10,e13),e10)** -> .
% 0.45/0.62 782[1:Obv:772.1] || SkC0* -> .
% 0.45/0.62 783[1:MRR:581.2,782.0] || -> SkC2 SkC1 equal(op1(e10,e13),e10)**.
% 0.45/0.62 787[1:MRR:540.1,775.0] || SkC2* -> .
% 0.45/0.62 795[1:MRR:783.0,783.2,787.0,778.0] || -> SkC1*.
% 0.45/0.62 796[1:MRR:548.0,795.0] || -> equal(op1(e12,e11),e10)**.
% 0.45/0.62 805[1:Rew:796.0,136.0] || equal(op1(e12,e12),e10)** -> .
% 0.45/0.62 809[1:MRR:699.1,805.0] || -> equal(op1(e12,e12),e13)**.
% 0.45/0.62 813[1:Rew:809.0,114.0] || equal(op1(e13,e12),e13)** -> .
% 0.45/0.62 814[1:Rew:809.0,112.0] || equal(op1(e11,e12),e13)** -> .
% 0.45/0.62 818[1:MRR:656.0,813.0] || -> equal(op1(e13,e11),e13)**.
% 0.45/0.62 822[1:Rew:818.0,107.0] || equal(op1(e11,e11),e13)** -> .
% 0.45/0.62 825[1:MRR:703.0,822.0] || -> equal(op1(e11,e11),e12)**.
% 0.45/0.62 863[1:Rew:825.0,750.1] || -> equal(e13,e11) equal(e13,e12) equal(op1(e11,e12),e13)**.
% 0.45/0.62 864[1:MRR:863.0,863.1,863.2,5.0,6.0,814.0] || -> .
% 0.45/0.62 873[1:Spt:864.0,677.0,744.0] || equal(op1(e11,e13),e11)** -> .
% 0.45/0.62 874[1:Spt:864.0,677.1] || -> equal(op1(e11,e12),e11)**.
% 0.45/0.62 876[1:Rew:874.0,113.0] || equal(op1(e13,e12),e11)** -> .
% 0.45/0.62 881[1:Rew:874.0,666.0] || -> equal(e12,e11) equal(op1(e10,e12),e12)**.
% 0.45/0.62 882[1:MRR:881.0,4.0] || -> equal(op1(e10,e12),e12)**.
% 0.45/0.62 888[1:Rew:882.0,124.0] || equal(op1(e10,e11),e12)** -> .
% 0.45/0.62 889[1:Rew:882.0,126.0] || equal(op1(e10,e13),e12)** -> .
% 0.45/0.62 892[1:Rew:874.0,219.1] || SkC1 equal(e11,e11) -> equal(op1(e11,e11),e12)**.
% 0.45/0.62 893[1:Obv:892.1] || SkC1 -> equal(op1(e11,e11),e12)**.
% 0.45/0.62 899[1:Rew:874.0,673.2] || -> equal(op1(e11,e13),e13)** equal(op1(e11,e11),e13) equal(e13,e11).
% 0.45/0.62 900[1:MRR:899.2,5.0] || -> equal(op1(e11,e13),e13)** equal(op1(e11,e11),e13).
% 0.45/0.62 901[1:MRR:657.2,889.0] || -> equal(op1(e12,e13),e12)** equal(op1(e11,e13),e12).
% 0.45/0.62 902[1:Rew:874.0,675.0] || -> equal(e12,e11) equal(op1(e11,e11),e12) equal(op1(e11,e13),e12)**.
% 0.45/0.62 903[1:MRR:902.0,4.0] || -> equal(op1(e11,e11),e12) equal(op1(e11,e13),e12)**.
% 0.45/0.62 909[1:MRR:696.1,876.0] || -> equal(op1(e13,e12),e13)** equal(op1(e13,e12),e10).
% 0.45/0.62 915[1:Rew:874.0,663.2] || -> equal(op1(e13,e12),e13)** equal(op1(e12,e12),e13) equal(e13,e11).
% 0.45/0.62 916[1:MRR:915.2,5.0] || -> equal(op1(e13,e12),e13)** equal(op1(e12,e12),e13).
% 0.45/0.62 917[1:MRR:706.2,888.0] || -> equal(op1(e10,e11),e11)** equal(op1(e10,e11),e10).
% 0.45/0.62 918[1:Rew:440.0,737.10,882.0,737.10,500.0,737.8,874.0,737.8] || equal(h1(op1(e13,e13)),h4(e13))** equal(h1(op1(e12,e12)),h3(e13)) equal(h1(op1(e11,e11)),h2(e13)) equal(h1(op1(e13,e12)),op2(e23,e22)) equal(h1(op1(e13,e11)),op2(e23,e21)) equal(h1(op1(e12,e13)),op2(e22,e23)) equal(h1(op1(e12,e11)),op2(e22,e21)) equal(h1(op1(e11,e13)),op2(e21,e23)) equal(op2(e21,e22),e21) equal(h1(op1(e10,e13)),op2(e20,e23)) equal(op2(e20,e22),e22) equal(h1(op1(e10,e11)),op2(e20,e21)) -> .
% 0.45/0.62 927[2:Spt:654.0] || -> equal(op1(e12,e13),e13)**.
% 0.45/0.62 929[2:Rew:927.0,118.0] || equal(op1(e11,e13),e13)** -> .
% 0.45/0.62 935[2:Rew:927.0,138.0] || equal(op1(e12,e12),e13)** -> .
% 0.45/0.62 950[2:MRR:900.0,929.0] || -> equal(op1(e11,e11),e13)**.
% 0.45/0.62 965[2:Rew:950.0,893.1] || SkC1* -> equal(e13,e12).
% 0.45/0.62 966[2:MRR:965.1,6.0] || SkC1* -> .
% 0.45/0.62 969[2:MRR:576.2,966.0] || equal(op1(e13,e12),e13)** -> SkC2 SkC0.
% 0.45/0.62 971[2:MRR:699.0,935.0] || -> equal(op1(e12,e12),e10)**.
% 0.45/0.62 972[2:MRR:916.1,935.0] || -> equal(op1(e13,e12),e13)**.
% 0.45/0.62 975[2:Rew:971.0,558.1] || SkC0* equal(e10,e10) -> .
% 0.45/0.62 982[2:Rew:972.0,540.1] || SkC2* -> equal(e13,e10).
% 0.45/0.62 985[2:MRR:982.1,3.0] || SkC2* -> .
% 0.45/0.62 989[2:Obv:975.1] || SkC0* -> .
% 0.45/0.62 1018[2:Rew:972.0,969.0] || equal(e13,e13) -> SkC2 SkC0*.
% 0.45/0.62 1019[2:Obv:1018.0] || -> SkC2 SkC0*.
% 0.45/0.62 1020[2:MRR:1019.0,1019.1,985.0,989.0] || -> .
% 0.45/0.62 1034[2:Spt:1020.0,654.0,927.0] || equal(op1(e12,e13),e13)** -> .
% 0.45/0.62 1035[2:Spt:1020.0,654.1] || -> equal(op1(e11,e13),e13)**.
% 0.45/0.62 1043[2:Rew:1035.0,901.1] || -> equal(op1(e12,e13),e12)** equal(e13,e12).
% 0.45/0.62 1044[2:MRR:1043.1,6.0] || -> equal(op1(e12,e13),e12)**.
% 0.45/0.62 1049[2:Rew:1044.0,137.0] || equal(op1(e12,e11),e12)** -> .
% 0.45/0.62 1052[2:Rew:1035.0,903.1] || -> equal(op1(e11,e11),e12)** equal(e13,e12).
% 0.45/0.62 1053[2:MRR:1052.1,6.0] || -> equal(op1(e11,e11),e12)**.
% 0.45/0.62 1064[2:Rew:1044.0,690.2] || -> equal(op1(e13,e13),e10)** equal(op1(e10,e13),e10) equal(e12,e10).
% 0.45/0.62 1065[2:MRR:1064.2,2.0] || -> equal(op1(e13,e13),e10)** equal(op1(e10,e13),e10).
% 0.45/0.62 1068[2:Rew:1053.0,672.1] || -> equal(op1(e13,e11),e13)** equal(e13,e12) equal(op1(e12,e11),e13).
% 0.45/0.62 1069[2:MRR:1068.1,6.0] || -> equal(op1(e13,e11),e13)** equal(op1(e12,e11),e13).
% 0.45/0.62 1070[2:MRR:700.0,1049.0] || -> equal(op1(e12,e11),e13)** equal(op1(e12,e11),e10).
% 0.45/0.62 1071[2:Rew:411.0,918.7,1035.0,918.7,440.0,918.5,1044.0,918.5,440.0,918.2,1053.0,918.2] || equal(h1(op1(e13,e13)),h4(e13))** equal(h1(op1(e12,e12)),h3(e13)) equal(h2(e13),e22) equal(h1(op1(e13,e12)),op2(e23,e22)) equal(h1(op1(e13,e11)),op2(e23,e21)) equal(op2(e22,e23),e22) equal(h1(op1(e12,e11)),op2(e22,e21)) equal(op2(e21,e23),e23) equal(op2(e21,e22),e21) equal(h1(op1(e10,e13)),op2(e20,e23)) equal(op2(e20,e22),e22) equal(h1(op1(e10,e11)),op2(e20,e21)) -> .
% 0.45/0.62 1080[3:Spt:656.1] || -> equal(op1(e13,e11),e13)**.
% 0.45/0.62 1082[3:Rew:1080.0,142.0] || equal(op1(e13,e12),e13)** -> .
% 0.45/0.62 1088[3:Rew:1080.0,108.0] || equal(op1(e12,e11),e13)** -> .
% 0.45/0.62 1091[3:Rew:1080.0,1071.4] || equal(h1(op1(e13,e13)),h4(e13))** equal(h1(op1(e12,e12)),h3(e13)) equal(h2(e13),e22) equal(h1(op1(e13,e12)),op2(e23,e22)) equal(op2(e23,e21),h1(e13)) equal(op2(e22,e23),e22) equal(h1(op1(e12,e11)),op2(e22,e21)) equal(op2(e21,e23),e23) equal(op2(e21,e22),e21) equal(h1(op1(e10,e13)),op2(e20,e23)) equal(op2(e20,e22),e22) equal(h1(op1(e10,e11)),op2(e20,e21)) -> .
% 0.45/0.62 1099[3:MRR:916.0,1082.0] || -> equal(op1(e12,e12),e13)**.
% 0.45/0.62 1100[3:MRR:909.0,1082.0] || -> equal(op1(e13,e12),e10)**.
% 0.45/0.62 1110[3:Rew:1100.0,144.0] || equal(op1(e13,e13),e10)** -> .
% 0.45/0.62 1112[3:MRR:1070.0,1088.0] || -> equal(op1(e12,e11),e10)**.
% 0.45/0.62 1114[3:Rew:1112.0,104.0] || equal(op1(e10,e11),e10)** -> .
% 0.45/0.62 1119[3:MRR:695.1,1110.0] || -> equal(op1(e13,e13),e11)**.
% 0.45/0.62 1120[3:MRR:1065.0,1110.0] || -> equal(op1(e10,e13),e10)**.
% 0.45/0.62 1130[3:MRR:917.1,1114.0] || -> equal(op1(e10,e11),e11)**.
% 0.45/0.62 1136[3:Rew:500.0,1091.11,1130.0,1091.11,29.0,1091.9,1120.0,1091.9,29.0,1091.6,1112.0,1091.6,411.0,1091.4,29.0,1091.3,1100.0,1091.3,411.0,1091.1,1099.0,1091.1,500.0,1091.0,1119.0,1091.0] || equal(h4(e13),e21) equal(h3(e13),e23) equal(h2(e13),e22) equal(op2(e23,e22),e20)** equal(op2(e23,e21),e23) equal(op2(e22,e23),e22) equal(op2(e22,e21),e20) equal(op2(e21,e23),e23) equal(op2(e21,e22),e21) equal(op2(e20,e23),e20) equal(op2(e20,e22),e22) equal(op2(e20,e21),e21) -> .
% 0.45/0.62 1145[4:Spt:650.0] || -> equal(h2(e13),e23)**.
% 0.45/0.62 1153[4:Rew:1145.0,573.0] || equal(e23,e23) -> SkC5 SkC4 SkC3 equal(op2(e21,e23),e21)**.
% 0.45/0.62 1158[4:Rew:1145.0,452.0] || equal(op2(e21,e23),e23)** -> .
% 0.45/0.62 1179[4:MRR:583.1,1158.0] || -> equal(op2(e22,e23),e23)**.
% 0.45/0.62 1180[4:MRR:647.0,1158.0] || -> equal(op2(e21,e23),e21) equal(op2(e21,e23),e22)**.
% 0.45/0.62 1189[4:Rew:1179.0,449.0] || equal(h3(e13),e23)** -> .
% 0.45/0.62 1194[4:MRR:645.0,1189.0] || -> equal(h3(e13),e20)**.
% 0.45/0.62 1196[4:Rew:1194.0,530.1] || SkC3* equal(e20,e20) -> .
% 0.45/0.62 1202[4:Rew:1194.0,450.0] || equal(op2(e22,e21),e20)** -> .
% 0.45/0.62 1203[4:Rew:1194.0,461.0] || equal(op2(e23,e22),e20)** -> .
% 0.45/0.62 1214[4:Obv:1196.1] || SkC3* -> .
% 0.45/0.62 1215[4:MRR:575.2,1214.0] || -> SkC5 SkC4 equal(op2(e20,e23),e20)**.
% 0.45/0.62 1230[4:MRR:518.1,1202.0] || SkC4* -> .
% 0.45/0.62 1231[4:MRR:505.1,1203.0] || SkC5* -> .
% 0.45/0.62 1234[4:MRR:1215.0,1215.1,1231.0,1230.0] || -> equal(op2(e20,e23),e20)**.
% 0.45/0.62 1237[4:Rew:1234.0,460.0] || equal(h4(e13),e20)** -> .
% 0.45/0.62 1240[4:MRR:640.1,1237.0] || -> equal(h4(e13),e21)**.
% 0.45/0.62 1245[4:Rew:1240.0,437.0] || -> equal(op2(e21,e23),h4(e12))**.
% 0.45/0.62 1247[4:Rew:1240.0,459.0] || equal(op2(e21,e23),e21)** -> .
% 0.45/0.62 1257[4:Rew:1245.0,1247.0] || equal(h4(e12),e21)** -> .
% 0.45/0.62 1289[4:Rew:1245.0,1180.1,1245.0,1180.0] || -> equal(h4(e12),e21) equal(h4(e12),e22)**.
% 0.45/0.62 1290[4:MRR:1289.0,1257.0] || -> equal(h4(e12),e22)**.
% 0.45/0.62 1293[4:Rew:1290.0,1245.0] || -> equal(op2(e21,e23),e22)**.
% 0.45/0.62 1304[4:Obv:1153.0] || -> SkC5 SkC4 SkC3 equal(op2(e21,e23),e21)**.
% 0.45/0.62 1305[4:Rew:1293.0,1304.3] || -> SkC5 SkC4 SkC3* equal(e22,e21).
% 0.45/0.62 1306[4:MRR:1305.0,1305.1,1305.2,1305.3,1231.0,1230.0,1214.0,10.0] || -> .
% 0.45/0.62 1332[4:Spt:1306.0,650.0,1145.0] || equal(h2(e13),e23)** -> .
% 0.45/0.62 1333[4:Spt:1306.0,650.1] || -> equal(h2(e13),e22)**.
% 0.45/0.62 1341[4:Rew:1333.0,465.0] || equal(op2(e22,e21),e22)** -> .
% 0.45/0.62 1343[4:Rew:1333.0,453.0] || equal(op2(e21,e22),e22)** -> .
% 0.45/0.62 1345[4:Rew:1333.0,439.0] || -> equal(op2(e22,e21),h2(e12))**.
% 0.45/0.62 1347[4:Rew:1345.0,1341.0] || equal(h2(e12),e22)** -> .
% 0.45/0.62 1348[4:Rew:1345.0,450.0] || equal(h3(e13),h2(e12))** -> .
% 0.45/0.62 1349[4:Rew:1345.0,518.1] || SkC4 -> equal(h2(e12),e20)**.
% 0.45/0.62 1355[4:Rew:1345.0,602.1] || -> equal(op2(e22,e23),e22)** equal(h2(e12),e22).
% 0.45/0.62 1356[4:MRR:1355.1,1347.0] || -> equal(op2(e22,e23),e22)**.
% 0.45/0.62 1364[4:Rew:1356.0,583.0] || -> equal(e23,e22) equal(op2(e21,e23),e23)**.
% 0.45/0.62 1365[4:MRR:1364.0,12.0] || -> equal(op2(e21,e23),e23)**.
% 0.45/0.62 1371[4:MRR:600.0,1343.0] || -> equal(op2(e20,e22),e22)**.
% 0.45/0.62 1379[4:Rew:1365.0,619.0] || -> equal(e23,e21) equal(op2(e21,e22),e21)**.
% 0.45/0.62 1380[4:MRR:1379.0,11.0] || -> equal(op2(e21,e22),e21)**.
% 0.45/0.62 1384[4:Rew:1380.0,161.0] || equal(op2(e23,e22),e21)** -> .
% 0.45/0.62 1387[4:Rew:1356.0,506.1] || SkC5 equal(e22,e22) -> equal(h3(e13),e23)**.
% 0.45/0.62 1388[4:Obv:1387.1] || SkC5 -> equal(h3(e13),e23)**.
% 0.45/0.62 1392[4:Rew:1345.0,609.2,1333.0,609.0] || -> equal(e23,e22) equal(op2(e23,e21),e23)** equal(h2(e12),e23).
% 0.45/0.62 1393[4:MRR:1392.0,12.0] || -> equal(op2(e23,e21),e23)** equal(h2(e12),e23).
% 0.45/0.62 1400[4:Rew:1356.0,635.2] || -> equal(h4(e13),e20) equal(op2(e20,e23),e20)** equal(e22,e20).
% 0.45/0.62 1401[4:MRR:1400.2,8.0] || -> equal(h4(e13),e20) equal(op2(e20,e23),e20)**.
% 0.45/0.62 1402[4:Rew:1380.0,596.2] || -> equal(h3(e13),e23) equal(op2(e23,e22),e23)** equal(e23,e21).
% 0.45/0.62 1403[4:MRR:1402.2,11.0] || -> equal(h3(e13),e23) equal(op2(e23,e22),e23)**.
% 0.45/0.62 1410[4:Rew:1345.0,646.2,1345.0,646.1,1345.0,646.0] || -> equal(h2(e12),e22) equal(h2(e12),e23)** equal(h2(e12),e20).
% 0.45/0.62 1411[4:MRR:1410.0,1347.0] || -> equal(h2(e12),e23)** equal(h2(e12),e20).
% 0.45/0.62 1416[4:MRR:641.1,1384.0] || -> equal(op2(e23,e22),e23)** equal(op2(e23,e22),e20).
% 0.45/0.62 1419[4:Rew:1371.0,1136.10,1380.0,1136.8,1365.0,1136.7,1345.0,1136.6,1356.0,1136.5,1333.0,1136.2] || equal(h4(e13),e21) equal(h3(e13),e23) equal(e22,e22) equal(op2(e23,e22),e20)** equal(op2(e23,e21),e23) equal(e22,e22) equal(h2(e12),e20) equal(e23,e23) equal(e21,e21) equal(op2(e20,e23),e20) equal(e22,e22) equal(op2(e20,e21),e21) -> .
% 0.45/0.63 1420[4:Obv:1419.10] || equal(h4(e13),e21) equal(h3(e13),e23) equal(op2(e23,e22),e20)** equal(op2(e23,e21),e23) equal(h2(e12),e20) equal(op2(e20,e23),e20) equal(op2(e20,e21),e21) -> .
% 0.45/0.63 1430[5:Spt:645.0] || -> equal(h3(e13),e23)**.
% 0.45/0.63 1438[5:Rew:1430.0,461.0] || equal(op2(e23,e22),e23)** -> .
% 0.45/0.63 1439[5:Rew:1430.0,1348.0] || equal(h2(e12),e23)** -> .
% 0.45/0.63 1442[5:Rew:1430.0,1420.1] || equal(h4(e13),e21) equal(e23,e23) equal(op2(e23,e22),e20)** equal(op2(e23,e21),e23) equal(h2(e12),e20) equal(op2(e20,e23),e20) equal(op2(e20,e21),e21) -> .
% 0.45/0.63 1447[5:MRR:1393.1,1439.0] || -> equal(op2(e23,e21),e23)**.
% 0.45/0.63 1448[5:MRR:1411.0,1439.0] || -> equal(h2(e12),e20)**.
% 0.45/0.63 1453[5:Rew:1448.0,499.0] || -> equal(op2(e20,e21),h2(e11))**.
% 0.45/0.63 1464[5:Rew:1447.0,617.0] || -> equal(e23,e21) equal(op2(e20,e21),e21)**.
% 0.45/0.63 1466[5:MRR:1416.0,1438.0] || -> equal(op2(e23,e22),e20)**.
% 0.45/0.63 1468[5:Rew:1466.0,444.0] || equal(h4(e13),e20)** -> .
% 0.45/0.63 1471[5:MRR:640.1,1468.0] || -> equal(h4(e13),e21)**.
% 0.45/0.63 1472[5:MRR:1401.0,1468.0] || -> equal(op2(e20,e23),e20)**.
% 0.45/0.63 1511[5:Rew:1453.0,1464.1] || -> equal(e23,e21) equal(h2(e11),e21)**.
% 0.45/0.63 1512[5:MRR:1511.0,11.0] || -> equal(h2(e11),e21)**.
% 0.45/0.63 1513[5:Rew:1512.0,1453.0] || -> equal(op2(e20,e21),e21)**.
% 0.45/0.63 1517[5:Obv:1442.1] || equal(h4(e13),e21) equal(op2(e23,e22),e20)** equal(op2(e23,e21),e23) equal(h2(e12),e20) equal(op2(e20,e23),e20) equal(op2(e20,e21),e21) -> .
% 0.45/0.63 1518[5:Rew:1513.0,1517.5,1472.0,1517.4,1448.0,1517.3,1447.0,1517.2,1466.0,1517.1,1471.0,1517.0] || equal(e21,e21) equal(e20,e20) equal(e23,e23)* equal(e20,e20) equal(e20,e20) equal(e21,e21) -> .
% 0.45/0.63 1519[5:Obv:1518.5] || -> .
% 0.45/0.63 1534[5:Spt:1519.0,645.0,1430.0] || equal(h3(e13),e23)** -> .
% 0.45/0.63 1535[5:Spt:1519.0,645.1] || -> equal(h3(e13),e20)**.
% 0.45/0.63 1539[5:Rew:1535.0,1388.1] || SkC5* -> equal(e23,e20).
% 0.45/0.63 1540[5:MRR:1539.1,9.0] || SkC5* -> .
% 0.45/0.63 1541[5:Rew:1535.0,1348.0] || equal(h2(e12),e20)** -> .
% 0.45/0.63 1545[5:MRR:1349.1,1541.0] || SkC4* -> .
% 0.45/0.63 1549[5:Rew:1535.0,530.1] || SkC3* equal(e20,e20) -> .
% 0.45/0.63 1550[5:Obv:1549.1] || SkC3* -> .
% 0.45/0.63 1592[5:Rew:1535.0,1403.0] || -> equal(e23,e20) equal(op2(e23,e22),e23)**.
% 0.45/0.63 1593[5:MRR:1592.0,9.0] || -> equal(op2(e23,e22),e23)**.
% 0.45/0.63 1598[5:Rew:1593.0,567.0] || equal(e23,e23) -> SkC5 SkC4 SkC3*.
% 0.45/0.63 1599[5:Obv:1598.0] || -> SkC5 SkC4 SkC3*.
% 0.45/0.63 1600[5:MRR:1599.0,1599.1,1599.2,1540.0,1545.0,1550.0] || -> .
% 0.45/0.63 1629[3:Spt:1600.0,656.1,1080.0] || equal(op1(e13,e11),e13)** -> .
% 0.45/0.63 1630[3:Spt:1600.0,656.0] || -> equal(op1(e13,e12),e13)**.
% 0.45/0.63 1633[3:Rew:1630.0,540.1] || SkC2* -> equal(e13,e10).
% 0.45/0.63 1634[3:MRR:1633.1,3.0] || SkC2* -> .
% 0.45/0.63 1639[3:Rew:1630.0,576.0] || equal(e13,e13) -> SkC2 SkC1 SkC0*.
% 0.45/0.63 1640[3:Obv:1639.0] || -> SkC2 SkC1 SkC0*.
% 0.45/0.63 1641[3:MRR:1640.0,1634.0] || -> SkC1 SkC0*.
% 0.45/0.63 1642[3:MRR:1069.0,1629.0] || -> equal(op1(e12,e11),e13)**.
% 0.45/0.63 1645[3:Rew:1642.0,548.1] || SkC1* -> equal(e13,e10).
% 0.45/0.63 1649[3:MRR:1645.1,3.0] || SkC1* -> .
% 0.45/0.63 1650[3:MRR:1641.0,1649.0] || -> SkC0*.
% 0.45/0.63 1651[3:MRR:554.0,1650.0] || equal(op1(e13,e11),e10)** -> .
% 0.45/0.63 1653[3:MRR:552.0,1650.0] || equal(op1(e13,e13),e10)** -> .
% 0.45/0.63 1665[3:MRR:695.1,1653.0] || -> equal(op1(e13,e13),e11)**.
% 0.45/0.63 1668[3:Rew:1665.0,143.0] || equal(op1(e13,e11),e11)** -> .
% 0.45/0.63 1670[3:MRR:676.0,1668.0] || -> equal(op1(e10,e11),e11)**.
% 0.45/0.63 1678[3:Rew:1642.0,692.2,1670.0,692.0] || -> equal(e11,e10) equal(op1(e13,e11),e10)** equal(e13,e10).
% 0.45/0.63 1679[3:MRR:1678.0,1678.1,1678.2,1.0,1651.0,3.0] || -> .
% 0.45/0.63 % SZS output end Refutation
% 0.45/0.63 Formulae used in the proof : ax7 ax8 ax14 ax12 ax13 co1 ax10 ax11 ax15 ax16 ax17 ax5 ax6 ax4 ax3 ax2 ax1
% 0.45/0.63
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