TSTP Solution File: ALG125+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG125+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 0.64s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG125+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 9 05:53:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.45/0.64
% 0.45/0.64 SPASS V 3.9
% 0.45/0.64 SPASS beiseite: Proof found.
% 0.45/0.64 % SZS status Theorem
% 0.45/0.64 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.64 SPASS derived 847 clauses, backtracked 738 clauses, performed 11 splits and kept 1229 clauses.
% 0.45/0.64 SPASS allocated 86700 KBytes.
% 0.45/0.64 SPASS spent 0:00:00.30 on the problem.
% 0.45/0.64 0:00:00.04 for the input.
% 0.45/0.64 0:00:00.09 for the FLOTTER CNF translation.
% 0.45/0.64 0:00:00.00 for inferences.
% 0.45/0.64 0:00:00.00 for the backtracking.
% 0.45/0.64 0:00:00.14 for the reduction.
% 0.45/0.64
% 0.45/0.64
% 0.45/0.64 Here is a proof with depth 2, length 455 :
% 0.45/0.64 % SZS output start Refutation
% 0.45/0.64 1[0:Inp] || equal(e11,e10)** -> .
% 0.45/0.64 2[0:Inp] || equal(e12,e10)** -> .
% 0.45/0.64 3[0:Inp] || equal(e13,e10)** -> .
% 0.45/0.64 4[0:Inp] || equal(e12,e11)** -> .
% 0.45/0.64 5[0:Inp] || equal(e13,e11)** -> .
% 0.45/0.64 6[0:Inp] || equal(e13,e12)** -> .
% 0.45/0.64 7[0:Inp] || equal(e21,e20)** -> .
% 0.45/0.64 8[0:Inp] || equal(e22,e20)** -> .
% 0.45/0.64 9[0:Inp] || equal(e23,e20)** -> .
% 0.45/0.64 10[0:Inp] || equal(e22,e21)** -> .
% 0.45/0.64 11[0:Inp] || equal(e23,e21)** -> .
% 0.45/0.64 12[0:Inp] || equal(e23,e22)** -> .
% 0.45/0.64 32[0:Inp] || -> equal(h4(e13),e23)**.
% 0.45/0.64 33[0:Inp] || -> equal(op1(e13,e13),e11)**.
% 0.45/0.64 34[0:Inp] || -> equal(op2(e23,e23),e21)**.
% 0.45/0.64 71[0:Inp] || equal(h4(e10),e20)** -> SkC15.
% 0.45/0.64 76[0:Inp] || equal(h4(e11),e21)** -> SkC16.
% 0.45/0.64 81[0:Inp] || equal(h4(e12),e22)** -> SkC17.
% 0.45/0.64 83[0:Inp] || -> equal(op2(e20,e20),h1(e11))**.
% 0.45/0.64 84[0:Inp] || -> equal(op2(e21,e21),h2(e11))**.
% 0.45/0.64 85[0:Inp] || -> equal(op2(e22,e22),h3(e11))**.
% 0.45/0.64 86[0:Inp] || -> equal(op2(e23,e23),h4(e11))**.
% 0.45/0.64 87[0:Inp] || equal(op1(e11,e10),op1(e10,e10))** -> .
% 0.45/0.64 88[0:Inp] || equal(op1(e12,e10),op1(e10,e10))** -> .
% 0.45/0.64 90[0:Inp] || equal(op1(e12,e10),op1(e11,e10))** -> .
% 0.45/0.64 92[0:Inp] || equal(op1(e13,e10),op1(e12,e10))** -> .
% 0.45/0.64 96[0:Inp] || equal(op1(e12,e11),op1(e11,e11))** -> .
% 0.45/0.64 98[0:Inp] || equal(op1(e13,e11),op1(e12,e11))** -> .
% 0.45/0.64 100[0:Inp] || equal(op1(e12,e12),op1(e10,e12))** -> .
% 0.45/0.64 102[0:Inp] || equal(op1(e12,e12),op1(e11,e12))** -> .
% 0.45/0.64 106[0:Inp] || equal(op1(e12,e13),op1(e10,e13))** -> .
% 0.45/0.64 107[0:Inp] || equal(op1(e13,e13),op1(e10,e13))** -> .
% 0.45/0.64 109[0:Inp] || equal(op1(e13,e13),op1(e11,e13))** -> .
% 0.45/0.64 115[0:Inp] || equal(op1(e10,e13),op1(e10,e11))** -> .
% 0.45/0.64 118[0:Inp] || equal(op1(e11,e12),op1(e11,e10))** -> .
% 0.45/0.64 120[0:Inp] || equal(op1(e11,e12),op1(e11,e11))** -> .
% 0.45/0.64 121[0:Inp] || equal(op1(e11,e13),op1(e11,e11))** -> .
% 0.45/0.64 122[0:Inp] || equal(op1(e11,e13),op1(e11,e12))** -> .
% 0.45/0.64 124[0:Inp] || equal(op1(e12,e12),op1(e12,e10))** -> .
% 0.45/0.64 125[0:Inp] || equal(op1(e12,e13),op1(e12,e10))** -> .
% 0.45/0.64 126[0:Inp] || equal(op1(e12,e12),op1(e12,e11))** -> .
% 0.45/0.64 135[0:Inp] || equal(op2(e21,e20),op2(e20,e20))** -> .
% 0.45/0.64 136[0:Inp] || equal(op2(e22,e20),op2(e20,e20))** -> .
% 0.45/0.64 137[0:Inp] || equal(op2(e23,e20),op2(e20,e20))** -> .
% 0.45/0.64 138[0:Inp] || equal(op2(e22,e20),op2(e21,e20))** -> .
% 0.45/0.64 140[0:Inp] || equal(op2(e23,e20),op2(e22,e20))** -> .
% 0.45/0.64 141[0:Inp] || equal(op2(e21,e21),op2(e20,e21))** -> .
% 0.45/0.64 142[0:Inp] || equal(op2(e22,e21),op2(e20,e21))** -> .
% 0.45/0.64 143[0:Inp] || equal(op2(e23,e21),op2(e20,e21))** -> .
% 0.45/0.64 144[0:Inp] || equal(op2(e22,e21),op2(e21,e21))** -> .
% 0.45/0.64 146[0:Inp] || equal(op2(e23,e21),op2(e22,e21))** -> .
% 0.45/0.64 147[0:Inp] || equal(op2(e21,e22),op2(e20,e22))** -> .
% 0.45/0.64 150[0:Inp] || equal(op2(e22,e22),op2(e21,e22))** -> .
% 0.45/0.64 157[0:Inp] || equal(op2(e23,e23),op2(e21,e23))** -> .
% 0.45/0.64 161[0:Inp] || equal(op2(e20,e23),op2(e20,e20))** -> .
% 0.45/0.64 166[0:Inp] || equal(op2(e21,e22),op2(e21,e20))** -> .
% 0.45/0.64 168[0:Inp] || equal(op2(e21,e22),op2(e21,e21))** -> .
% 0.45/0.64 169[0:Inp] || equal(op2(e21,e23),op2(e21,e21))** -> .
% 0.45/0.64 170[0:Inp] || equal(op2(e21,e23),op2(e21,e22))** -> .
% 0.45/0.64 172[0:Inp] || equal(op2(e22,e22),op2(e22,e20))** -> .
% 0.45/0.64 174[0:Inp] || equal(op2(e22,e22),op2(e22,e21))** -> .
% 0.45/0.64 183[0:Inp] || -> equal(op1(op1(e13,e13),op1(e13,e13)),e10)**.
% 0.45/0.64 184[0:Inp] || -> equal(op2(op2(e23,e23),op2(e23,e23)),e20)**.
% 0.45/0.64 188[0:Inp] || -> equal(op2(op2(e23,e23),op2(e23,e23)),h4(e10))**.
% 0.45/0.64 192[0:Inp] || equal(op1(e11,e11),e10)** -> equal(op1(e11,e10),e11).
% 0.45/0.64 195[0:Inp] || equal(op1(e12,e12),e10)** -> equal(op1(e12,e10),e12).
% 0.45/0.64 199[0:Inp] || equal(op1(e13,e13),e11)** -> equal(op1(e13,e11),e13).
% 0.45/0.64 204[0:Inp] || equal(op2(e21,e21),e20)** -> equal(op2(e21,e20),e21).
% 0.45/0.64 207[0:Inp] || equal(op2(e22,e22),e20)** -> equal(op2(e22,e20),e22).
% 0.45/0.64 208[0:Inp] || equal(op2(e22,e22),e21)** -> equal(op2(e22,e21),e22).
% 0.45/0.64 211[0:Inp] || equal(op2(e23,e23),e21)** -> equal(op2(e23,e21),e23).
% 0.45/0.64 213[0:Inp] || -> equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),e12)**.
% 0.45/0.64 214[0:Inp] || -> equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),e22)**.
% 0.45/0.64 215[0:Inp] || SkC0 equal(op1(e10,op1(e10,e10)),op1(e10,e10))** -> .
% 0.45/0.64 217[0:Inp] || SkC0 equal(op1(e12,op1(e10,e12)),op1(e10,e12))** -> .
% 0.45/0.64 219[0:Inp] || equal(op1(e10,op1(e11,e10)),op1(e11,e10))** SkC1 -> .
% 0.45/0.64 221[0:Inp] || SkC1 equal(op1(e12,op1(e11,e12)),op1(e11,e12))** -> .
% 0.45/0.64 223[0:Inp] || SkC2 equal(op1(e10,op1(e12,e10)),op1(e12,e10))** -> .
% 0.45/0.64 224[0:Inp] || SkC2 equal(op1(e11,op1(e12,e11)),op1(e12,e11))** -> .
% 0.45/0.64 225[0:Inp] || SkC2 equal(op1(e12,op1(e12,e12)),op1(e12,e12))** -> .
% 0.45/0.64 227[0:Inp] || equal(op2(e20,op2(e20,e20)),op2(e20,e20))** SkC3 -> .
% 0.45/0.64 229[0:Inp] || SkC3 equal(op2(e22,op2(e20,e22)),op2(e20,e22))** -> .
% 0.45/0.64 231[0:Inp] || equal(op2(e20,op2(e21,e20)),op2(e21,e20))** SkC4 -> .
% 0.45/0.64 233[0:Inp] || SkC4 equal(op2(e22,op2(e21,e22)),op2(e21,e22))** -> .
% 0.45/0.64 235[0:Inp] || SkC5 equal(op2(e20,op2(e22,e20)),op2(e22,e20))** -> .
% 0.45/0.64 236[0:Inp] || SkC5 equal(op2(e21,op2(e22,e21)),op2(e22,e21))** -> .
% 0.45/0.64 237[0:Inp] || equal(op2(e22,op2(e22,e22)),op2(e22,e22))** SkC5 -> .
% 0.45/0.64 242[0:Inp] || -> equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),h4(e12))**.
% 0.45/0.64 243[0:Inp] || equal(op1(e10,op1(e13,e10)),op1(e13,e10))** -> SkC0 SkC1 SkC2.
% 0.45/0.64 244[0:Inp] || equal(op1(e11,op1(e13,e11)),op1(e13,e11))** -> SkC0 SkC1 SkC2.
% 0.45/0.64 245[0:Inp] || equal(op1(e12,op1(e13,e12)),op1(e13,e12))** -> SkC0 SkC1 SkC2.
% 0.45/0.64 247[0:Inp] || equal(op2(e20,op2(e23,e20)),op2(e23,e20))** -> SkC3 SkC4 SkC5.
% 0.45/0.64 248[0:Inp] || equal(op2(e21,op2(e23,e21)),op2(e23,e21))** -> SkC3 SkC4 SkC5.
% 0.45/0.64 249[0:Inp] || equal(op2(e22,op2(e23,e22)),op2(e23,e22))** -> SkC3 SkC4 SkC5.
% 0.45/0.64 251[0:Inp] || -> equal(op2(e20,e20),e20) equal(op2(e21,e21),e21) equal(op2(e22,e22),e22) equal(op2(e23,e23),e23)**.
% 0.45/0.64 252[0:Inp] || -> equal(op1(e10,e10),e10) equal(op1(e11,e11),e11) equal(op1(e12,e12),e12) equal(op1(e13,e13),e13)**.
% 0.45/0.64 253[0:Inp] || -> equal(op2(e20,e23),e23) equal(op2(e21,e23),e23) equal(op2(e22,e23),e23) equal(op2(e23,e23),e23)**.
% 0.45/0.64 259[0:Inp] || -> equal(op2(e20,e23),e20) equal(op2(e21,e23),e20) equal(op2(e22,e23),e20) equal(op2(e23,e23),e20)**.
% 0.45/0.64 260[0:Inp] || -> equal(op2(e23,e20),e20) equal(op2(e23,e21),e20) equal(op2(e23,e22),e20) equal(op2(e23,e23),e20)**.
% 0.45/0.64 262[0:Inp] || -> equal(op2(e22,e20),e23) equal(op2(e22,e21),e23) equal(op2(e22,e22),e23) equal(op2(e22,e23),e23)**.
% 0.45/0.64 265[0:Inp] || -> equal(op2(e20,e22),e21) equal(op2(e21,e22),e21) equal(op2(e22,e22),e21) equal(op2(e23,e22),e21)**.
% 0.45/0.64 268[0:Inp] || -> equal(op2(e22,e20),e20) equal(op2(e22,e21),e20) equal(op2(e22,e22),e20) equal(op2(e22,e23),e20)**.
% 0.45/0.64 271[0:Inp] || -> equal(op2(e20,e21),e22) equal(op2(e21,e21),e22) equal(op2(e22,e21),e22) equal(op2(e23,e21),e22)**.
% 0.45/0.64 272[0:Inp] || -> equal(op2(e21,e20),e22) equal(op2(e21,e21),e22) equal(op2(e21,e22),e22) equal(op2(e21,e23),e22)**.
% 0.45/0.64 277[0:Inp] || -> equal(op2(e20,e20),e23) equal(op2(e21,e20),e23) equal(op2(e22,e20),e23) equal(op2(e23,e20),e23)**.
% 0.45/0.64 278[0:Inp] || -> equal(op2(e20,e20),e23) equal(op2(e20,e21),e23) equal(op2(e20,e22),e23) equal(op2(e20,e23),e23)**.
% 0.45/0.64 280[0:Inp] || -> equal(op2(e20,e20),e22) equal(op2(e20,e21),e22) equal(op2(e20,e22),e22) equal(op2(e20,e23),e22)**.
% 0.45/0.64 290[0:Inp] || -> equal(op2(e22,e22),e20) equal(op2(e22,e22),e21) equal(op2(e22,e22),e22) equal(op2(e22,e22),e23)**.
% 0.45/0.64 291[0:Inp] || -> equal(op2(e22,e21),e20) equal(op2(e22,e21),e21) equal(op2(e22,e21),e22) equal(op2(e22,e21),e23)**.
% 0.45/0.64 292[0:Inp] || -> equal(op2(e22,e20),e20) equal(op2(e22,e20),e21) equal(op2(e22,e20),e22) equal(op2(e22,e20),e23)**.
% 0.45/0.64 293[0:Inp] || -> equal(op2(e21,e23),e20) equal(op2(e21,e23),e21) equal(op2(e21,e23),e22) equal(op2(e21,e23),e23)**.
% 0.45/0.64 294[0:Inp] || -> equal(op2(e21,e22),e20) equal(op2(e21,e22),e21) equal(op2(e21,e22),e22) equal(op2(e21,e22),e23)**.
% 0.45/0.64 299[0:Inp] || -> equal(op2(e20,e21),e20) equal(op2(e20,e21),e21) equal(op2(e20,e21),e22) equal(op2(e20,e21),e23)**.
% 0.45/0.64 300[0:Inp] || -> equal(op2(e20,e20),e20) equal(op2(e20,e20),e21) equal(op2(e20,e20),e22) equal(op2(e20,e20),e23)**.
% 0.45/0.64 301[0:Inp] || -> equal(op1(e10,e13),e13) equal(op1(e11,e13),e13) equal(op1(e12,e13),e13) equal(op1(e13,e13),e13)**.
% 0.45/0.64 307[0:Inp] || -> equal(op1(e10,e13),e10) equal(op1(e11,e13),e10) equal(op1(e12,e13),e10) equal(op1(e13,e13),e10)**.
% 0.45/0.64 308[0:Inp] || -> equal(op1(e13,e10),e10) equal(op1(e13,e11),e10) equal(op1(e13,e12),e10) equal(op1(e13,e13),e10)**.
% 0.45/0.64 311[0:Inp] || -> equal(op1(e10,e12),e12) equal(op1(e11,e12),e12) equal(op1(e12,e12),e12) equal(op1(e13,e12),e12)**.
% 0.45/0.64 313[0:Inp] || -> equal(op1(e10,e12),e11) equal(op1(e11,e12),e11) equal(op1(e12,e12),e11) equal(op1(e13,e12),e11)**.
% 0.45/0.64 316[0:Inp] || -> equal(op1(e12,e10),e10) equal(op1(e12,e11),e10) equal(op1(e12,e12),e10) equal(op1(e12,e13),e10)**.
% 0.45/0.64 318[0:Inp] || -> equal(op1(e11,e10),e13) equal(op1(e11,e11),e13) equal(op1(e11,e12),e13) equal(op1(e11,e13),e13)**.
% 0.45/0.64 319[0:Inp] || -> equal(op1(e10,e11),e12) equal(op1(e11,e11),e12) equal(op1(e12,e11),e12) equal(op1(e13,e11),e12)**.
% 0.45/0.64 320[0:Inp] || -> equal(op1(e11,e10),e12) equal(op1(e11,e11),e12) equal(op1(e11,e12),e12) equal(op1(e11,e13),e12)**.
% 0.45/0.64 330[0:Inp] || -> equal(op1(e10,e10),e11) equal(op1(e10,e11),e11) equal(op1(e10,e12),e11) equal(op1(e10,e13),e11)**.
% 0.45/0.64 331[0:Inp] || -> equal(op1(e10,e10),e10) equal(op1(e11,e10),e10) equal(op1(e12,e10),e10) equal(op1(e13,e10),e10)**.
% 0.45/0.64 338[0:Inp] || -> equal(op1(e12,e12),e10) equal(op1(e12,e12),e11) equal(op1(e12,e12),e12) equal(op1(e12,e12),e13)**.
% 0.45/0.64 339[0:Inp] || -> equal(op1(e12,e11),e10) equal(op1(e12,e11),e11) equal(op1(e12,e11),e12) equal(op1(e12,e11),e13)**.
% 0.45/0.64 340[0:Inp] || -> equal(op1(e12,e10),e10) equal(op1(e12,e10),e11) equal(op1(e12,e10),e12) equal(op1(e12,e10),e13)**.
% 0.45/0.64 341[0:Inp] || -> equal(op1(e11,e13),e10) equal(op1(e11,e13),e11) equal(op1(e11,e13),e12) equal(op1(e11,e13),e13)**.
% 0.45/0.64 342[0:Inp] || -> equal(op1(e11,e12),e10) equal(op1(e11,e12),e11) equal(op1(e11,e12),e12) equal(op1(e11,e12),e13)**.
% 0.45/0.64 345[0:Inp] || -> equal(op1(e10,e13),e10) equal(op1(e10,e13),e11) equal(op1(e10,e13),e12) equal(op1(e10,e13),e13)**.
% 0.45/0.64 349[0:Inp] || equal(h4(e13),e23) equal(op2(h4(e10),h4(e10)),h4(op1(e10,e10))) equal(op2(h4(e10),h4(e11)),h4(op1(e10,e11))) equal(op2(h4(e10),h4(e12)),h4(op1(e10,e12))) equal(op2(h4(e10),h4(e13)),h4(op1(e10,e13))) equal(op2(h4(e11),h4(e10)),h4(op1(e11,e10))) equal(op2(h4(e11),h4(e11)),h4(op1(e11,e11))) equal(op2(h4(e11),h4(e12)),h4(op1(e11,e12))) equal(op2(h4(e11),h4(e13)),h4(op1(e11,e13))) equal(op2(h4(e12),h4(e10)),h4(op1(e12,e10))) equal(op2(h4(e12),h4(e11)),h4(op1(e12,e11))) equal(op2(h4(e12),h4(e12)),h4(op1(e12,e12))) equal(op2(h4(e12),h4(e13)),h4(op1(e12,e13))) equal(op2(h4(e13),h4(e10)),h4(op1(e13,e10))) equal(op2(h4(e13),h4(e11)),h4(op1(e13,e11))) equal(op2(h4(e13),h4(e12)),h4(op1(e13,e12))) equal(op2(h4(e13),h4(e13)),h4(op1(e13,e13)))** SkC15 SkC16 SkC17 -> .
% 0.45/0.64 365[0:Rew:34.0,86.0] || -> equal(h4(e11),e21)**.
% 0.45/0.64 369[0:Rew:365.0,76.0] || equal(e21,e21) -> SkC16*.
% 0.45/0.64 370[0:Obv:369.0] || -> SkC16*.
% 0.45/0.64 389[0:Rew:85.0,174.0] || equal(op2(e22,e21),h3(e11))** -> .
% 0.45/0.64 390[0:Rew:85.0,172.0] || equal(op2(e22,e20),h3(e11))** -> .
% 0.45/0.64 391[0:Rew:84.0,169.0] || equal(op2(e21,e23),h2(e11))** -> .
% 0.45/0.64 392[0:Rew:84.0,168.0] || equal(op2(e21,e22),h2(e11))** -> .
% 0.45/0.64 394[0:Rew:83.0,161.0] || equal(op2(e20,e23),h1(e11))** -> .
% 0.45/0.64 398[0:Rew:34.0,157.0] || equal(op2(e21,e23),e21)** -> .
% 0.45/0.64 401[0:Rew:85.0,150.0] || equal(op2(e21,e22),h3(e11))** -> .
% 0.45/0.64 404[0:Rew:84.0,144.0] || equal(op2(e22,e21),h2(e11))** -> .
% 0.45/0.64 405[0:Rew:84.0,141.0] || equal(op2(e20,e21),h2(e11))** -> .
% 0.45/0.64 406[0:Rew:83.0,137.0] || equal(op2(e23,e20),h1(e11))** -> .
% 0.45/0.64 407[0:Rew:83.0,136.0] || equal(op2(e22,e20),h1(e11))** -> .
% 0.45/0.64 408[0:Rew:83.0,135.0] || equal(op2(e21,e20),h1(e11))** -> .
% 0.45/0.64 413[0:Rew:33.0,109.0] || equal(op1(e11,e13),e11)** -> .
% 0.45/0.64 414[0:Rew:33.0,107.0] || equal(op1(e10,e13),e11)** -> .
% 0.45/0.64 415[0:Rew:84.0,184.0,34.0,184.0] || -> equal(h2(e11),e20)**.
% 0.45/0.64 416[0:Rew:415.0,84.0] || -> equal(op2(e21,e21),e20)**.
% 0.45/0.64 419[0:Rew:415.0,391.0] || equal(op2(e21,e23),e20)** -> .
% 0.45/0.64 420[0:Rew:415.0,392.0] || equal(op2(e21,e22),e20)** -> .
% 0.45/0.64 423[0:Rew:415.0,404.0] || equal(op2(e22,e21),e20)** -> .
% 0.45/0.64 424[0:Rew:415.0,405.0] || equal(op2(e20,e21),e20)** -> .
% 0.45/0.64 426[0:Rew:33.0,183.0] || -> equal(op1(e11,e11),e10)**.
% 0.45/0.64 427[0:Rew:426.0,121.0] || equal(op1(e11,e13),e10)** -> .
% 0.45/0.64 428[0:Rew:426.0,120.0] || equal(op1(e11,e12),e10)** -> .
% 0.45/0.64 431[0:Rew:426.0,96.0] || equal(op1(e12,e11),e10)** -> .
% 0.45/0.64 433[0:Rew:416.0,188.0,34.0,188.0] || -> equal(h4(e10),e20)**.
% 0.45/0.64 435[0:Rew:433.0,71.0] || equal(e20,e20) -> SkC15*.
% 0.45/0.64 436[0:Obv:435.0] || -> SkC15*.
% 0.45/0.64 441[0:Rew:416.0,214.0,34.0,214.0] || -> equal(op2(e23,e20),e22)**.
% 0.45/0.64 445[0:Rew:441.0,140.0] || equal(op2(e22,e20),e22)** -> .
% 0.45/0.64 447[0:Rew:441.0,406.0] || equal(h1(e11),e22)** -> .
% 0.45/0.64 448[0:Rew:426.0,213.0,33.0,213.0] || -> equal(op1(e13,e10),e12)**.
% 0.45/0.64 452[0:Rew:448.0,92.0] || equal(op1(e12,e10),e12)** -> .
% 0.45/0.64 456[0:Rew:34.0,211.0] || equal(e21,e21) -> equal(op2(e23,e21),e23)**.
% 0.45/0.64 457[0:Obv:456.0] || -> equal(op2(e23,e21),e23)**.
% 0.45/0.64 460[0:Rew:457.0,146.0] || equal(op2(e22,e21),e23)** -> .
% 0.45/0.64 461[0:Rew:457.0,143.0] || equal(op2(e20,e21),e23)** -> .
% 0.45/0.64 466[0:Rew:85.0,208.0] || equal(h3(e11),e21) -> equal(op2(e22,e21),e22)**.
% 0.45/0.64 467[0:Rew:85.0,207.0] || equal(h3(e11),e20) -> equal(op2(e22,e20),e22)**.
% 0.45/0.64 468[0:MRR:467.1,445.0] || equal(h3(e11),e20)** -> .
% 0.45/0.65 471[0:Rew:416.0,204.0] || equal(e20,e20) -> equal(op2(e21,e20),e21)**.
% 0.45/0.65 472[0:Obv:471.0] || -> equal(op2(e21,e20),e21)**.
% 0.45/0.65 474[0:Rew:472.0,166.0] || equal(op2(e21,e22),e21)** -> .
% 0.45/0.65 475[0:Rew:472.0,138.0] || equal(op2(e22,e20),e21)** -> .
% 0.45/0.65 476[0:Rew:472.0,408.0] || equal(h1(e11),e21)** -> .
% 0.45/0.65 483[0:Rew:33.0,199.0] || equal(e11,e11) -> equal(op1(e13,e11),e13)**.
% 0.45/0.65 484[0:Obv:483.0] || -> equal(op1(e13,e11),e13)**.
% 0.45/0.65 487[0:Rew:484.0,98.0] || equal(op1(e12,e11),e13)** -> .
% 0.45/0.65 492[0:MRR:195.1,452.0] || equal(op1(e12,e12),e10)** -> .
% 0.45/0.65 495[0:Rew:426.0,192.0] || equal(e10,e10) -> equal(op1(e11,e10),e11)**.
% 0.45/0.65 496[0:Obv:495.0] || -> equal(op1(e11,e10),e11)**.
% 0.45/0.65 498[0:Rew:496.0,118.0] || equal(op1(e11,e12),e11)** -> .
% 0.45/0.65 499[0:Rew:496.0,90.0] || equal(op1(e12,e10),e11)** -> .
% 0.45/0.65 500[0:Rew:496.0,87.0] || equal(op1(e10,e10),e11)** -> .
% 0.45/0.65 503[0:Rew:441.0,242.0,416.0,242.0,34.0,242.0] || -> equal(h4(e12),e22)**.
% 0.45/0.65 504[0:Rew:503.0,81.0] || equal(e22,e22) -> SkC17*.
% 0.45/0.65 505[0:Obv:504.0] || -> SkC17*.
% 0.45/0.65 509[0:Rew:85.0,237.0] || SkC5 equal(op2(e22,h3(e11)),h3(e11))** -> .
% 0.45/0.65 511[0:Rew:472.0,231.0] || SkC4 equal(op2(e20,e21),e21)** -> .
% 0.45/0.65 512[0:Rew:83.0,227.0] || SkC3 equal(op2(e20,h1(e11)),h1(e11))** -> .
% 0.45/0.65 514[0:Rew:496.0,219.0] || SkC1 equal(op1(e10,e11),e11)** -> .
% 0.45/0.65 516[0:Rew:457.0,248.0] || equal(op2(e21,e23),e23)** -> SkC5 SkC4 SkC3.
% 0.45/0.65 517[0:Rew:441.0,247.0] || equal(op2(e20,e22),e22)** -> SkC5 SkC4 SkC3.
% 0.45/0.65 519[0:Rew:484.0,244.0] || equal(op1(e11,e13),e13)** -> SkC2 SkC1 SkC0.
% 0.45/0.65 520[0:Rew:448.0,243.0] || equal(op1(e10,e12),e12)** -> SkC2 SkC1 SkC0.
% 0.45/0.65 521[0:Rew:34.0,251.3,85.0,251.2,416.0,251.1,83.0,251.0] || -> equal(h1(e11),e20) equal(e21,e20) equal(h3(e11),e22)** equal(e23,e21).
% 0.45/0.65 522[0:MRR:521.1,521.3,7.0,11.0] || -> equal(h3(e11),e22)** equal(h1(e11),e20).
% 0.45/0.65 523[0:Rew:33.0,252.3,426.0,252.1] || -> equal(op1(e10,e10),e10) equal(e11,e10) equal(op1(e12,e12),e12)** equal(e13,e11).
% 0.45/0.65 524[0:MRR:523.1,523.3,1.0,5.0] || -> equal(op1(e12,e12),e12)** equal(op1(e10,e10),e10).
% 0.45/0.65 525[0:Rew:34.0,253.3] || -> equal(op2(e20,e23),e23) equal(op2(e21,e23),e23) equal(op2(e22,e23),e23)** equal(e23,e21).
% 0.45/0.65 526[0:MRR:525.3,11.0] || -> equal(op2(e22,e23),e23)** equal(op2(e21,e23),e23) equal(op2(e20,e23),e23).
% 0.45/0.65 529[0:Rew:34.0,259.3] || -> equal(op2(e20,e23),e20) equal(op2(e21,e23),e20) equal(op2(e22,e23),e20)** equal(e21,e20).
% 0.45/0.65 530[0:MRR:529.1,529.3,419.0,7.0] || -> equal(op2(e20,e23),e20) equal(op2(e22,e23),e20)**.
% 0.45/0.65 531[0:Rew:34.0,260.3,457.0,260.1,441.0,260.0] || -> equal(e22,e20) equal(e23,e20) equal(op2(e23,e22),e20)** equal(e21,e20).
% 0.45/0.65 532[0:MRR:531.0,531.1,531.3,8.0,9.0,7.0] || -> equal(op2(e23,e22),e20)**.
% 0.45/0.65 539[0:Rew:532.0,249.0] || equal(op2(e22,e20),e20)** -> SkC5 SkC4 SkC3.
% 0.45/0.65 542[0:Rew:85.0,262.2] || -> equal(op2(e22,e20),e23) equal(op2(e22,e21),e23) equal(h3(e11),e23) equal(op2(e22,e23),e23)**.
% 0.45/0.65 543[0:MRR:542.1,460.0] || -> equal(h3(e11),e23) equal(op2(e22,e23),e23)** equal(op2(e22,e20),e23).
% 0.45/0.65 548[0:Rew:532.0,265.3,85.0,265.2] || -> equal(op2(e20,e22),e21) equal(op2(e21,e22),e21)** equal(h3(e11),e21) equal(e21,e20).
% 0.45/0.65 549[0:MRR:548.1,548.3,474.0,7.0] || -> equal(h3(e11),e21) equal(op2(e20,e22),e21)**.
% 0.45/0.65 552[0:Rew:85.0,268.2] || -> equal(op2(e22,e20),e20) equal(op2(e22,e21),e20) equal(h3(e11),e20) equal(op2(e22,e23),e20)**.
% 0.45/0.65 553[0:MRR:552.1,552.2,423.0,468.0] || -> equal(op2(e22,e20),e20) equal(op2(e22,e23),e20)**.
% 0.45/0.65 556[0:Rew:457.0,271.3,416.0,271.1] || -> equal(op2(e20,e21),e22) equal(e22,e20) equal(op2(e22,e21),e22)** equal(e23,e22).
% 0.45/0.65 557[0:MRR:556.1,556.3,8.0,12.0] || -> equal(op2(e22,e21),e22)** equal(op2(e20,e21),e22).
% 0.45/0.65 558[0:Rew:416.0,272.1,472.0,272.0] || -> equal(e22,e21) equal(e22,e20) equal(op2(e21,e22),e22) equal(op2(e21,e23),e22)**.
% 0.45/0.65 559[0:MRR:558.0,558.1,10.0,8.0] || -> equal(op2(e21,e22),e22) equal(op2(e21,e23),e22)**.
% 0.45/0.65 562[0:Rew:441.0,277.3,472.0,277.1,83.0,277.0] || -> equal(h1(e11),e23) equal(e23,e21) equal(op2(e22,e20),e23)** equal(e23,e22).
% 0.45/0.65 563[0:MRR:562.1,562.3,11.0,12.0] || -> equal(h1(e11),e23) equal(op2(e22,e20),e23)**.
% 0.45/0.65 564[0:Rew:83.0,278.0] || -> equal(h1(e11),e23) equal(op2(e20,e21),e23) equal(op2(e20,e22),e23) equal(op2(e20,e23),e23)**.
% 0.45/0.65 565[0:MRR:564.1,461.0] || -> equal(h1(e11),e23) equal(op2(e20,e23),e23)** equal(op2(e20,e22),e23).
% 0.45/0.65 566[0:Rew:83.0,280.0] || -> equal(h1(e11),e22) equal(op2(e20,e21),e22) equal(op2(e20,e22),e22) equal(op2(e20,e23),e22)**.
% 0.45/0.65 567[0:MRR:566.0,447.0] || -> equal(op2(e20,e22),e22) equal(op2(e20,e23),e22)** equal(op2(e20,e21),e22).
% 0.45/0.65 576[0:Rew:85.0,290.3,85.0,290.2,85.0,290.1,85.0,290.0] || -> equal(h3(e11),e20) equal(h3(e11),e21) equal(h3(e11),e22) equal(h3(e11),e23)**.
% 0.45/0.65 577[0:MRR:576.0,468.0] || -> equal(h3(e11),e23)** equal(h3(e11),e22) equal(h3(e11),e21).
% 0.45/0.65 578[0:MRR:291.0,291.3,423.0,460.0] || -> equal(op2(e22,e21),e22)** equal(op2(e22,e21),e21).
% 0.45/0.65 579[0:MRR:292.1,292.2,475.0,445.0] || -> equal(op2(e22,e20),e20) equal(op2(e22,e20),e23)**.
% 0.45/0.65 580[0:MRR:293.0,293.1,419.0,398.0] || -> equal(op2(e21,e23),e23)** equal(op2(e21,e23),e22).
% 0.45/0.65 581[0:MRR:294.0,294.1,420.0,474.0] || -> equal(op2(e21,e22),e22) equal(op2(e21,e22),e23)**.
% 0.45/0.65 584[0:MRR:299.0,299.3,424.0,461.0] || -> equal(op2(e20,e21),e21) equal(op2(e20,e21),e22)**.
% 0.45/0.65 585[0:Rew:83.0,300.3,83.0,300.2,83.0,300.1,83.0,300.0] || -> equal(h1(e11),e20) equal(h1(e11),e21) equal(h1(e11),e22) equal(h1(e11),e23)**.
% 0.45/0.65 586[0:MRR:585.1,585.2,476.0,447.0] || -> equal(h1(e11),e23)** equal(h1(e11),e20).
% 0.45/0.65 587[0:Rew:33.0,301.3] || -> equal(op1(e10,e13),e13) equal(op1(e11,e13),e13) equal(op1(e12,e13),e13)** equal(e13,e11).
% 0.45/0.65 588[0:MRR:587.3,5.0] || -> equal(op1(e12,e13),e13)** equal(op1(e11,e13),e13) equal(op1(e10,e13),e13).
% 0.45/0.65 591[0:Rew:33.0,307.3] || -> equal(op1(e10,e13),e10) equal(op1(e11,e13),e10) equal(op1(e12,e13),e10)** equal(e11,e10).
% 0.45/0.65 592[0:MRR:591.1,591.3,427.0,1.0] || -> equal(op1(e10,e13),e10) equal(op1(e12,e13),e10)**.
% 0.45/0.65 593[0:Rew:33.0,308.3,484.0,308.1,448.0,308.0] || -> equal(e12,e10) equal(e13,e10) equal(op1(e13,e12),e10)** equal(e11,e10).
% 0.45/0.65 594[0:MRR:593.0,593.1,593.3,2.0,3.0,1.0] || -> equal(op1(e13,e12),e10)**.
% 0.45/0.65 601[0:Rew:594.0,245.0] || equal(op1(e12,e10),e10)** -> SkC2 SkC1 SkC0.
% 0.45/0.65 605[0:Rew:594.0,311.3] || -> equal(op1(e10,e12),e12) equal(op1(e11,e12),e12) equal(op1(e12,e12),e12)** equal(e12,e10).
% 0.45/0.65 606[0:MRR:605.3,2.0] || -> equal(op1(e12,e12),e12)** equal(op1(e11,e12),e12) equal(op1(e10,e12),e12).
% 0.45/0.65 608[0:Rew:594.0,313.3] || -> equal(op1(e10,e12),e11) equal(op1(e11,e12),e11) equal(op1(e12,e12),e11)** equal(e11,e10).
% 0.45/0.65 609[0:MRR:608.1,608.3,498.0,1.0] || -> equal(op1(e12,e12),e11)** equal(op1(e10,e12),e11).
% 0.45/0.65 611[0:MRR:316.1,316.2,431.0,492.0] || -> equal(op1(e12,e10),e10) equal(op1(e12,e13),e10)**.
% 0.45/0.65 612[0:Rew:426.0,318.1,496.0,318.0] || -> equal(e13,e11) equal(e13,e10) equal(op1(e11,e12),e13) equal(op1(e11,e13),e13)**.
% 0.45/0.65 613[0:MRR:612.0,612.1,5.0,3.0] || -> equal(op1(e11,e13),e13)** equal(op1(e11,e12),e13).
% 0.45/0.65 614[0:Rew:484.0,319.3,426.0,319.1] || -> equal(op1(e10,e11),e12) equal(e12,e10) equal(op1(e12,e11),e12)** equal(e13,e12).
% 0.45/0.65 615[0:MRR:614.1,614.3,2.0,6.0] || -> equal(op1(e12,e11),e12)** equal(op1(e10,e11),e12).
% 0.45/0.65 616[0:Rew:426.0,320.1,496.0,320.0] || -> equal(e12,e11) equal(e12,e10) equal(op1(e11,e12),e12) equal(op1(e11,e13),e12)**.
% 0.45/0.65 617[0:MRR:616.0,616.1,4.0,2.0] || -> equal(op1(e11,e12),e12) equal(op1(e11,e13),e12)**.
% 0.45/0.65 624[0:MRR:330.0,330.3,500.0,414.0] || -> equal(op1(e10,e11),e11) equal(op1(e10,e12),e11)**.
% 0.45/0.65 625[0:Rew:448.0,331.3,496.0,331.1] || -> equal(op1(e10,e10),e10) equal(e11,e10) equal(op1(e12,e10),e10)** equal(e12,e10).
% 0.45/0.65 626[0:MRR:625.1,625.3,1.0,2.0] || -> equal(op1(e10,e10),e10) equal(op1(e12,e10),e10)**.
% 0.45/0.65 630[0:MRR:338.0,492.0] || -> equal(op1(e12,e12),e12) equal(op1(e12,e12),e13)** equal(op1(e12,e12),e11).
% 0.45/0.65 631[0:MRR:339.0,339.3,431.0,487.0] || -> equal(op1(e12,e11),e12)** equal(op1(e12,e11),e11).
% 0.45/0.65 632[0:MRR:340.1,340.2,499.0,452.0] || -> equal(op1(e12,e10),e10) equal(op1(e12,e10),e13)**.
% 0.45/0.65 633[0:MRR:341.0,341.1,427.0,413.0] || -> equal(op1(e11,e13),e13)** equal(op1(e11,e13),e12).
% 0.45/0.65 634[0:MRR:342.0,342.1,428.0,498.0] || -> equal(op1(e11,e12),e12) equal(op1(e11,e12),e13)**.
% 0.45/0.65 635[0:MRR:345.1,414.0] || -> equal(op1(e10,e13),e13)** equal(op1(e10,e13),e10) equal(op1(e10,e13),e12).
% 0.45/0.65 639[0:Rew:34.0,349.16,32.0,349.16,365.0,349.16,33.0,349.16,532.0,349.15,32.0,349.15,503.0,349.15,433.0,349.15,594.0,349.15,457.0,349.14,365.0,349.14,32.0,349.14,484.0,349.14,441.0,349.13,32.0,349.13,433.0,349.13,503.0,349.13,448.0,349.13,503.0,349.12,32.0,349.12,85.0,349.11,503.0,349.11,503.0,349.10,365.0,349.10,503.0,349.9,433.0,349.9,365.0,349.8,32.0,349.8,365.0,349.7,503.0,349.7,416.0,349.6,365.0,349.6,433.0,349.6,426.0,349.6,472.0,349.5,433.0,349.5,365.0,349.5,496.0,349.5,433.0,349.4,32.0,349.4,433.0,349.3,503.0,349.3,433.0,349.2,365.0,349.2,83.0,349.1,433.0,349.1,32.0,349.0] || equal(e23,e23) equal(h4(op1(e10,e10)),h1(e11)) equal(h4(op1(e10,e11)),op2(e20,e21)) equal(h4(op1(e10,e12)),op2(e20,e22)) equal(h4(op1(e10,e13)),op2(e20,e23)) equal(e21,e21) equal(e20,e20) equal(h4(op1(e11,e12)),op2(e21,e22)) equal(h4(op1(e11,e13)),op2(e21,e23)) equal(h4(op1(e12,e10)),op2(e22,e20)) equal(h4(op1(e12,e11)),op2(e22,e21)) equal(h4(op1(e12,e12)),h3(e11)) equal(h4(op1(e12,e13)),op2(e22,e23))** equal(e22,e22) equal(e23,e23) equal(e20,e20) equal(e21,e21) SkC15 SkC16 SkC17 -> .
% 0.45/0.65 640[0:Obv:639.16] || equal(h4(op1(e10,e10)),h1(e11)) equal(h4(op1(e10,e11)),op2(e20,e21)) equal(h4(op1(e10,e12)),op2(e20,e22)) equal(h4(op1(e10,e13)),op2(e20,e23)) equal(h4(op1(e11,e12)),op2(e21,e22)) equal(h4(op1(e11,e13)),op2(e21,e23)) equal(h4(op1(e12,e10)),op2(e22,e20)) equal(h4(op1(e12,e11)),op2(e22,e21)) equal(h4(op1(e12,e12)),h3(e11)) equal(h4(op1(e12,e13)),op2(e22,e23))** SkC15 SkC16 SkC17 -> .
% 0.45/0.65 641[0:MRR:640.10,640.11,640.12,436.0,370.0,505.0] || equal(h4(op1(e12,e12)),h3(e11)) equal(h4(op1(e10,e10)),h1(e11)) equal(h4(op1(e12,e13)),op2(e22,e23))** equal(h4(op1(e12,e11)),op2(e22,e21)) equal(h4(op1(e12,e10)),op2(e22,e20)) equal(h4(op1(e11,e13)),op2(e21,e23)) equal(h4(op1(e11,e12)),op2(e21,e22)) equal(h4(op1(e10,e13)),op2(e20,e23)) equal(h4(op1(e10,e12)),op2(e20,e22)) equal(h4(op1(e10,e11)),op2(e20,e21)) -> .
% 0.45/0.65 680[1:Spt:630.0] || -> equal(op1(e12,e12),e12)**.
% 0.45/0.65 686[1:Rew:680.0,609.0] || -> equal(e12,e11) equal(op1(e10,e12),e11)**.
% 0.45/0.65 697[1:Rew:680.0,126.0] || equal(op1(e12,e11),e12)** -> .
% 0.45/0.65 699[1:Rew:680.0,102.0] || equal(op1(e11,e12),e12)** -> .
% 0.45/0.65 701[1:Rew:680.0,225.1] || SkC2 equal(op1(e12,e12),e12)** -> .
% 0.45/0.65 702[1:Rew:680.0,641.0] || equal(h4(e12),h3(e11)) equal(h4(op1(e10,e10)),h1(e11)) equal(h4(op1(e12,e13)),op2(e22,e23))** equal(h4(op1(e12,e11)),op2(e22,e21)) equal(h4(op1(e12,e10)),op2(e22,e20)) equal(h4(op1(e11,e13)),op2(e21,e23)) equal(h4(op1(e11,e12)),op2(e21,e22)) equal(h4(op1(e10,e13)),op2(e20,e23)) equal(h4(op1(e10,e12)),op2(e20,e22)) equal(h4(op1(e10,e11)),op2(e20,e21)) -> .
% 0.45/0.65 705[1:MRR:615.0,697.0] || -> equal(op1(e10,e11),e12)**.
% 0.45/0.65 706[1:MRR:631.0,697.0] || -> equal(op1(e12,e11),e11)**.
% 0.45/0.65 712[1:Rew:705.0,115.0] || equal(op1(e10,e13),e12)** -> .
% 0.45/0.65 723[1:MRR:617.0,699.0] || -> equal(op1(e11,e13),e12)**.
% 0.45/0.65 724[1:MRR:634.0,699.0] || -> equal(op1(e11,e12),e13)**.
% 0.45/0.65 725[1:Rew:723.0,588.1] || -> equal(op1(e12,e13),e13)** equal(e13,e12) equal(op1(e10,e13),e13).
% 0.45/0.65 737[1:Rew:724.0,221.1] || SkC1 equal(op1(e12,e13),e13)** -> .
% 0.45/0.65 740[1:MRR:635.2,712.0] || -> equal(op1(e10,e13),e13)** equal(op1(e10,e13),e10).
% 0.45/0.65 744[1:MRR:686.0,4.0] || -> equal(op1(e10,e12),e11)**.
% 0.45/0.65 748[1:Rew:744.0,217.1] || SkC0 equal(op1(e12,e11),e11)** -> .
% 0.45/0.65 751[1:Rew:680.0,701.1] || SkC2* equal(e12,e12) -> .
% 0.45/0.65 752[1:Obv:751.1] || SkC2* -> .
% 0.45/0.65 753[1:MRR:601.1,752.0] || equal(op1(e12,e10),e10)** -> SkC1 SkC0.
% 0.45/0.65 756[1:Rew:706.0,748.1] || SkC0* equal(e11,e11) -> .
% 0.45/0.65 757[1:Obv:756.1] || SkC0* -> .
% 0.45/0.65 758[1:MRR:753.2,757.0] || equal(op1(e12,e10),e10)** -> SkC1.
% 0.45/0.65 760[1:MRR:725.1,6.0] || -> equal(op1(e12,e13),e13)** equal(op1(e10,e13),e13).
% 0.45/0.65 761[1:Rew:503.0,702.9,705.0,702.9,365.0,702.8,744.0,702.8,32.0,702.6,724.0,702.6,503.0,702.5,723.0,702.5,365.0,702.3,706.0,702.3,503.0,702.0] || equal(h3(e11),e22) equal(h4(op1(e10,e10)),h1(e11)) equal(h4(op1(e12,e13)),op2(e22,e23))** equal(op2(e22,e21),e21) equal(h4(op1(e12,e10)),op2(e22,e20)) equal(op2(e21,e23),e22) equal(op2(e21,e22),e23) equal(h4(op1(e10,e13)),op2(e20,e23)) equal(op2(e20,e22),e21) equal(op2(e20,e21),e22) -> .
% 0.45/0.65 771[2:Spt:577.0] || -> equal(h3(e11),e23)**.
% 0.45/0.65 783[2:Rew:771.0,522.0] || -> equal(e23,e22) equal(h1(e11),e20)**.
% 0.45/0.65 788[2:Rew:771.0,390.0] || equal(op2(e22,e20),e23)** -> .
% 0.45/0.65 795[2:MRR:563.1,788.0] || -> equal(h1(e11),e23)**.
% 0.45/0.65 879[2:Rew:795.0,783.1] || -> equal(e23,e22)** equal(e23,e20).
% 0.45/0.65 880[2:MRR:879.0,879.1,12.0,9.0] || -> .
% 0.45/0.65 939[2:Spt:880.0,577.0,771.0] || equal(h3(e11),e23)** -> .
% 0.45/0.65 940[2:Spt:880.0,577.1,577.2] || -> equal(h3(e11),e22)** equal(h3(e11),e21).
% 0.45/0.65 942[2:MRR:543.0,939.0] || -> equal(op2(e22,e23),e23)** equal(op2(e22,e20),e23).
% 0.45/0.65 943[3:Spt:940.0] || -> equal(h3(e11),e22)**.
% 0.45/0.65 946[3:Rew:943.0,85.0] || -> equal(op2(e22,e22),e22)**.
% 0.45/0.65 949[3:Rew:943.0,549.0] || -> equal(e22,e21) equal(op2(e20,e22),e21)**.
% 0.45/0.65 952[3:Rew:943.0,401.0] || equal(op2(e21,e22),e22)** -> .
% 0.45/0.65 954[3:Rew:943.0,389.0] || equal(op2(e22,e21),e22)** -> .
% 0.45/0.65 957[3:Rew:943.0,761.0] || equal(e22,e22) equal(h4(op1(e10,e10)),h1(e11)) equal(h4(op1(e12,e13)),op2(e22,e23))** equal(op2(e22,e21),e21) equal(h4(op1(e12,e10)),op2(e22,e20)) equal(op2(e21,e23),e22) equal(op2(e21,e22),e23) equal(h4(op1(e10,e13)),op2(e20,e23)) equal(op2(e20,e22),e21) equal(op2(e20,e21),e22) -> .
% 0.45/0.65 960[3:Rew:943.0,509.1] || SkC5 equal(op2(e22,e22),e22)** -> .
% 0.45/0.65 963[3:MRR:581.0,952.0] || -> equal(op2(e21,e22),e23)**.
% 0.45/0.65 964[3:MRR:559.0,952.0] || -> equal(op2(e21,e23),e22)**.
% 0.45/0.65 968[3:Rew:963.0,147.0] || equal(op2(e20,e22),e23)** -> .
% 0.45/0.65 969[3:Rew:963.0,233.1] || SkC4 equal(op2(e22,e23),e23)** -> .
% 0.45/0.65 978[3:MRR:557.0,954.0] || -> equal(op2(e20,e21),e22)**.
% 0.45/0.65 979[3:MRR:578.0,954.0] || -> equal(op2(e22,e21),e21)**.
% 0.45/0.65 1004[3:MRR:565.2,968.0] || -> equal(h1(e11),e23) equal(op2(e20,e23),e23)**.
% 0.45/0.65 1010[3:MRR:949.0,10.0] || -> equal(op2(e20,e22),e21)**.
% 0.45/0.65 1014[3:Rew:1010.0,229.1] || SkC3 equal(op2(e22,e21),e21)** -> .
% 0.45/0.65 1017[3:Rew:946.0,960.1] || SkC5* equal(e22,e22) -> .
% 0.45/0.65 1018[3:Obv:1017.1] || SkC5* -> .
% 0.45/0.65 1019[3:MRR:539.1,1018.0] || equal(op2(e22,e20),e20)** -> SkC4 SkC3.
% 0.45/0.65 1022[3:Rew:979.0,1014.1] || SkC3* equal(e21,e21) -> .
% 0.45/0.65 1023[3:Obv:1022.1] || SkC3* -> .
% 0.45/0.65 1024[3:MRR:1019.2,1023.0] || equal(op2(e22,e20),e20)** -> SkC4.
% 0.45/0.65 1026[3:Obv:957.0] || equal(h4(op1(e10,e10)),h1(e11)) equal(h4(op1(e12,e13)),op2(e22,e23))** equal(op2(e22,e21),e21) equal(h4(op1(e12,e10)),op2(e22,e20)) equal(op2(e21,e23),e22) equal(op2(e21,e22),e23) equal(h4(op1(e10,e13)),op2(e20,e23)) equal(op2(e20,e22),e21) equal(op2(e20,e21),e22) -> .
% 0.45/0.65 1027[3:Rew:978.0,1026.8,1010.0,1026.7,963.0,1026.5,964.0,1026.4,979.0,1026.2] || equal(h4(op1(e10,e10)),h1(e11)) equal(h4(op1(e12,e13)),op2(e22,e23))** equal(e21,e21) equal(h4(op1(e12,e10)),op2(e22,e20)) equal(e22,e22) equal(e23,e23) equal(h4(op1(e10,e13)),op2(e20,e23)) equal(e21,e21) equal(e22,e22) -> .
% 0.45/0.65 1028[3:Obv:1027.8] || equal(h4(op1(e10,e10)),h1(e11)) equal(h4(op1(e12,e13)),op2(e22,e23))** equal(h4(op1(e12,e10)),op2(e22,e20)) equal(h4(op1(e10,e13)),op2(e20,e23)) -> .
% 0.45/0.65 1036[4:Spt:592.1] || -> equal(op1(e12,e13),e10)**.
% 0.45/0.65 1038[4:Rew:1036.0,125.0] || equal(op1(e12,e10),e10)** -> .
% 0.45/0.65 1039[4:Rew:1036.0,106.0] || equal(op1(e10,e13),e10)** -> .
% 0.45/0.65 1047[4:Rew:1036.0,1028.1] || equal(h4(op1(e10,e10)),h1(e11)) equal(op2(e22,e23),h4(e10)) equal(h4(op1(e12,e10)),op2(e22,e20))** equal(h4(op1(e10,e13)),op2(e20,e23)) -> .
% 0.45/0.65 1050[4:MRR:626.1,1038.0] || -> equal(op1(e10,e10),e10)**.
% 0.45/0.65 1051[4:MRR:632.0,1038.0] || -> equal(op1(e12,e10),e13)**.
% 0.45/0.65 1061[4:MRR:740.1,1039.0] || -> equal(op1(e10,e13),e13)**.
% 0.45/0.65 1067[4:Rew:32.0,1047.3,1061.0,1047.3,32.0,1047.2,1051.0,1047.2,433.0,1047.1,433.0,1047.0,1050.0,1047.0] || equal(h1(e11),e20) equal(op2(e22,e23),e20)** equal(op2(e22,e20),e23) equal(op2(e20,e23),e23) -> .
% 0.45/0.65 1074[5:Spt:586.0] || -> equal(h1(e11),e23)**.
% 0.45/0.65 1080[5:Rew:1074.0,407.0] || equal(op2(e22,e20),e23)** -> .
% 0.45/0.65 1094[5:MRR:579.1,1080.0] || -> equal(op2(e22,e20),e20)**.
% 0.45/0.65 1095[5:MRR:942.1,1080.0] || -> equal(op2(e22,e23),e23)**.
% 0.45/0.65 1099[5:Rew:1094.0,1024.0] || equal(e20,e20) -> SkC4*.
% 0.45/0.65 1104[5:Rew:1095.0,969.1] || SkC4* equal(e23,e23) -> .
% 0.45/0.65 1106[5:Obv:1099.0] || -> SkC4*.
% 0.45/0.65 1118[5:Obv:1104.1] || SkC4* -> .
% 0.45/0.65 1119[5:MRR:1118.0,1106.0] || -> .
% 0.45/0.65 1135[5:Spt:1119.0,586.0,1074.0] || equal(h1(e11),e23)** -> .
% 0.45/0.65 1136[5:Spt:1119.0,586.1] || -> equal(h1(e11),e20)**.
% 0.45/0.65 1153[5:Rew:1136.0,563.0] || -> equal(e23,e20) equal(op2(e22,e20),e23)**.
% 0.45/0.65 1154[5:MRR:1153.0,9.0] || -> equal(op2(e22,e20),e23)**.
% 0.45/0.65 1159[5:Rew:1136.0,1004.0] || -> equal(e23,e20) equal(op2(e20,e23),e23)**.
% 0.45/0.65 1160[5:MRR:1159.0,9.0] || -> equal(op2(e20,e23),e23)**.
% 0.45/0.65 1165[5:Rew:1154.0,553.0] || -> equal(e23,e20) equal(op2(e22,e23),e20)**.
% 0.45/0.65 1166[5:MRR:1165.0,9.0] || -> equal(op2(e22,e23),e20)**.
% 0.45/0.65 1170[5:Rew:1160.0,1067.3,1154.0,1067.2,1166.0,1067.1,1136.0,1067.0] || equal(e20,e20) equal(e20,e20) equal(e23,e23)* equal(e23,e23)* -> .
% 0.45/0.65 1171[5:Obv:1170.3] || -> .
% 0.45/0.65 1182[4:Spt:1171.0,592.1,1036.0] || equal(op1(e12,e13),e10)** -> .
% 0.45/0.65 1183[4:Spt:1171.0,592.0] || -> equal(op1(e10,e13),e10)**.
% 0.45/0.65 1188[4:MRR:611.1,1182.0] || -> equal(op1(e12,e10),e10)**.
% 0.45/0.65 1191[4:Rew:1188.0,758.0] || equal(e10,e10) -> SkC1*.
% 0.45/0.65 1194[4:Obv:1191.0] || -> SkC1*.
% 0.45/0.65 1195[4:MRR:737.0,1194.0] || equal(op1(e12,e13),e13)** -> .
% 0.45/0.65 1199[4:Rew:1183.0,760.1] || -> equal(op1(e12,e13),e13)** equal(e13,e10).
% 0.45/0.65 1200[4:MRR:1199.0,1199.1,1195.0,3.0] || -> .
% 0.45/0.65 1211[3:Spt:1200.0,940.0,943.0] || equal(h3(e11),e22)** -> .
% 0.45/0.65 1212[3:Spt:1200.0,940.1] || -> equal(h3(e11),e21)**.
% 0.45/0.65 1224[3:Rew:1212.0,522.0] || -> equal(e22,e21) equal(h1(e11),e20)**.
% 0.45/0.65 1225[3:MRR:1224.0,10.0] || -> equal(h1(e11),e20)**.
% 0.45/0.65 1229[3:Rew:1225.0,83.0] || -> equal(op2(e20,e20),e20)**.
% 0.45/0.65 1230[3:Rew:1225.0,394.0] || equal(op2(e20,e23),e20)** -> .
% 0.45/0.65 1231[3:Rew:1225.0,407.0] || equal(op2(e22,e20),e20)** -> .
% 0.45/0.65 1237[3:MRR:530.0,1230.0] || -> equal(op2(e22,e23),e20)**.
% 0.45/0.65 1242[3:MRR:579.0,1231.0] || -> equal(op2(e22,e20),e23)**.
% 0.45/0.65 1266[3:Rew:1212.0,466.0] || equal(e21,e21) -> equal(op2(e22,e21),e22)**.
% 0.45/0.65 1267[3:Obv:1266.0] || -> equal(op2(e22,e21),e22)**.
% 0.45/0.65 1271[3:Rew:1267.0,142.0] || equal(op2(e20,e21),e22)** -> .
% 0.45/0.65 1272[3:MRR:584.1,1271.0] || -> equal(op2(e20,e21),e21)**.
% 0.45/0.65 1275[3:Rew:1272.0,511.1] || SkC4* equal(e21,e21) -> .
% 0.45/0.65 1279[3:Obv:1275.1] || SkC4* -> .
% 0.45/0.65 1280[3:MRR:517.2,1279.0] || equal(op2(e20,e22),e22)** -> SkC5 SkC3.
% 0.45/0.65 1281[3:MRR:516.2,1279.0] || equal(op2(e21,e23),e23)** -> SkC5 SkC3.
% 0.45/0.65 1282[3:Rew:1229.0,512.1,1225.0,512.1] || SkC3* equal(e20,e20) -> .
% 0.45/0.65 1283[3:Obv:1282.1] || SkC3* -> .
% 0.45/0.65 1284[3:MRR:1280.2,1283.0] || equal(op2(e20,e22),e22)** -> SkC5.
% 0.45/0.65 1285[3:MRR:1281.2,1283.0] || equal(op2(e21,e23),e23)** -> SkC5.
% 0.45/0.65 1286[3:Rew:1267.0,236.1] || SkC5 equal(op2(e21,e22),e22)** -> .
% 0.45/0.65 1287[3:Rew:1242.0,235.1] || SkC5 equal(op2(e20,e23),e23)** -> .
% 0.45/0.65 1293[3:Rew:1272.0,567.2] || -> equal(op2(e20,e22),e22) equal(op2(e20,e23),e22)** equal(e22,e21).
% 0.45/0.65 1294[3:MRR:1293.2,10.0] || -> equal(op2(e20,e22),e22) equal(op2(e20,e23),e22)**.
% 0.45/0.65 1298[3:Rew:1237.0,526.0] || -> equal(e23,e20) equal(op2(e21,e23),e23)** equal(op2(e20,e23),e23).
% 0.45/0.65 1299[3:MRR:1298.0,9.0] || -> equal(op2(e21,e23),e23)** equal(op2(e20,e23),e23).
% 0.45/0.65 1342[4:Spt:580.0] || -> equal(op2(e21,e23),e23)**.
% 0.45/0.65 1345[4:Rew:1342.0,170.0] || equal(op2(e21,e22),e23)** -> .
% 0.45/0.65 1347[4:Rew:1342.0,1285.0] || equal(e23,e23) -> SkC5*.
% 0.45/0.65 1350[4:Obv:1347.0] || -> SkC5*.
% 0.45/0.65 1351[4:MRR:1286.0,1350.0] || equal(op2(e21,e22),e22)** -> .
% 0.45/0.65 1353[4:MRR:581.1,1345.0] || -> equal(op2(e21,e22),e22)**.
% 0.45/0.65 1367[4:Rew:1353.0,1351.0] || equal(e22,e22)* -> .
% 0.45/0.65 1368[4:Obv:1367.0] || -> .
% 0.45/0.65 1372[4:Spt:1368.0,580.0,1342.0] || equal(op2(e21,e23),e23)** -> .
% 0.45/0.65 1373[4:Spt:1368.0,580.1] || -> equal(op2(e21,e23),e22)**.
% 0.45/0.65 1386[4:Rew:1373.0,1299.0] || -> equal(e23,e22) equal(op2(e20,e23),e23)**.
% 0.45/0.65 1387[4:MRR:1386.0,12.0] || -> equal(op2(e20,e23),e23)**.
% 0.45/0.65 1391[4:Rew:1387.0,1287.1] || SkC5* equal(e23,e23) -> .
% 0.45/0.65 1393[4:Obv:1391.1] || SkC5* -> .
% 0.45/0.65 1394[4:MRR:1284.1,1393.0] || equal(op2(e20,e22),e22)** -> .
% 0.45/0.65 1398[4:Rew:1387.0,1294.1] || -> equal(op2(e20,e22),e22)** equal(e23,e22).
% 0.45/0.65 1399[4:MRR:1398.0,1398.1,1394.0,12.0] || -> .
% 0.45/0.65 1400[1:Spt:1399.0,630.0,680.0] || equal(op1(e12,e12),e12)** -> .
% 0.45/0.65 1401[1:Spt:1399.0,630.1,630.2] || -> equal(op1(e12,e12),e13)** equal(op1(e12,e12),e11).
% 0.45/0.65 1402[1:MRR:524.0,1400.0] || -> equal(op1(e10,e10),e10)**.
% 0.45/0.65 1405[1:Rew:1402.0,88.0] || equal(op1(e12,e10),e10)** -> .
% 0.45/0.65 1410[1:MRR:611.0,1405.0] || -> equal(op1(e12,e13),e10)**.
% 0.45/0.65 1411[1:MRR:632.0,1405.0] || -> equal(op1(e12,e10),e13)**.
% 0.45/0.65 1420[1:Rew:1411.0,124.0] || equal(op1(e12,e12),e13)** -> .
% 0.45/0.65 1424[1:MRR:1401.0,1420.0] || -> equal(op1(e12,e12),e11)**.
% 0.45/0.65 1427[1:Rew:1424.0,100.0] || equal(op1(e10,e12),e11)** -> .
% 0.45/0.65 1429[1:Rew:1424.0,126.0] || equal(op1(e12,e11),e11)** -> .
% 0.45/0.65 1431[1:MRR:624.1,1427.0] || -> equal(op1(e10,e11),e11)**.
% 0.45/0.65 1437[1:Rew:1431.0,514.1] || SkC1* equal(e11,e11) -> .
% 0.45/0.65 1439[1:MRR:631.1,1429.0] || -> equal(op1(e12,e11),e12)**.
% 0.45/0.65 1444[1:Obv:1437.1] || SkC1* -> .
% 0.45/0.65 1445[1:MRR:519.2,1444.0] || equal(op1(e11,e13),e13)** -> SkC2 SkC0.
% 0.45/0.65 1446[1:MRR:520.2,1444.0] || equal(op1(e10,e12),e12)** -> SkC2 SkC0.
% 0.45/0.65 1450[1:Rew:1439.0,224.1] || SkC2 equal(op1(e11,e12),e12)** -> .
% 0.45/0.65 1452[1:Rew:1411.0,223.1] || SkC2 equal(op1(e10,e13),e13)** -> .
% 0.45/0.65 1453[1:Rew:1402.0,215.1,1402.0,215.1] || SkC0* equal(e10,e10) -> .
% 0.45/0.65 1454[1:Obv:1453.1] || SkC0* -> .
% 0.45/0.65 1455[1:MRR:1445.2,1454.0] || equal(op1(e11,e13),e13)** -> SkC2.
% 0.45/0.65 1456[1:MRR:1446.2,1454.0] || equal(op1(e10,e12),e12)** -> SkC2.
% 0.45/0.65 1457[1:Rew:1424.0,606.0] || -> equal(e12,e11) equal(op1(e11,e12),e12)** equal(op1(e10,e12),e12).
% 0.45/0.65 1458[1:MRR:1457.0,4.0] || -> equal(op1(e11,e12),e12)** equal(op1(e10,e12),e12).
% 0.45/0.65 1465[1:Rew:1410.0,588.0] || -> equal(e13,e10) equal(op1(e11,e13),e13)** equal(op1(e10,e13),e13).
% 0.45/0.65 1466[1:MRR:1465.0,3.0] || -> equal(op1(e11,e13),e13)** equal(op1(e10,e13),e13).
% 0.45/0.65 1480[2:Spt:577.0] || -> equal(h3(e11),e23)**.
% 0.45/0.65 1490[2:Rew:1480.0,390.0] || equal(op2(e22,e20),e23)** -> .
% 0.45/0.65 1495[2:Rew:1480.0,522.0] || -> equal(e23,e22) equal(h1(e11),e20)**.
% 0.45/0.65 1504[2:MRR:563.1,1490.0] || -> equal(h1(e11),e23)**.
% 0.45/0.65 1588[2:Rew:1504.0,1495.1] || -> equal(e23,e22)** equal(e23,e20).
% 0.45/0.65 1589[2:MRR:1588.0,1588.1,12.0,9.0] || -> .
% 0.45/0.65 1647[2:Spt:1589.0,577.0,1480.0] || equal(h3(e11),e23)** -> .
% 0.45/0.65 1648[2:Spt:1589.0,577.1,577.2] || -> equal(h3(e11),e22)** equal(h3(e11),e21).
% 0.45/0.65 1847[3:Spt:633.0] || -> equal(op1(e11,e13),e13)**.
% 0.45/0.65 1851[3:Rew:1847.0,122.0] || equal(op1(e11,e12),e13)** -> .
% 0.45/0.65 1852[3:Rew:1847.0,1455.0] || equal(e13,e13) -> SkC2*.
% 0.45/0.65 1855[3:Obv:1852.0] || -> SkC2*.
% 0.45/0.65 1856[3:MRR:1450.0,1855.0] || equal(op1(e11,e12),e12)** -> .
% 0.45/0.65 1868[3:MRR:634.1,1851.0] || -> equal(op1(e11,e12),e12)**.
% 0.45/0.65 1872[3:Rew:1868.0,1856.0] || equal(e12,e12)* -> .
% 0.45/0.65 1873[3:Obv:1872.0] || -> .
% 0.45/0.65 1877[3:Spt:1873.0,633.0,1847.0] || equal(op1(e11,e13),e13)** -> .
% 0.45/0.65 1878[3:Spt:1873.0,633.1] || -> equal(op1(e11,e13),e12)**.
% 0.45/0.65 1885[3:Rew:1878.0,613.0] || -> equal(e13,e12) equal(op1(e11,e12),e13)**.
% 0.45/0.65 1886[3:MRR:1885.0,6.0] || -> equal(op1(e11,e12),e13)**.
% 0.45/0.65 1891[3:Rew:1878.0,1466.0] || -> equal(e13,e12) equal(op1(e10,e13),e13)**.
% 0.45/0.65 1892[3:MRR:1891.0,6.0] || -> equal(op1(e10,e13),e13)**.
% 0.45/0.65 1896[3:Rew:1892.0,1452.1] || SkC2* equal(e13,e13) -> .
% 0.45/0.65 1898[3:Obv:1896.1] || SkC2* -> .
% 0.45/0.65 1899[3:MRR:1456.1,1898.0] || equal(op1(e10,e12),e12)** -> .
% 0.45/0.65 1903[3:Rew:1886.0,1458.0] || -> equal(e13,e12) equal(op1(e10,e12),e12)**.
% 0.45/0.65 1904[3:MRR:1903.0,1903.1,6.0,1899.0] || -> .
% 0.45/0.65 % SZS output end Refutation
% 0.45/0.65 Formulae used in the proof : ax7 ax8 ax17 ax12 ax13 co1 ax14 ax15 ax16 ax5 ax6 ax10 ax11 ax4 ax3 ax2 ax1
% 0.45/0.65
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