TSTP Solution File: ALG031+1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : ALG031+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 18:02:02 EDT 2022

% Result   : Theorem 0.40s 0.58s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : ALG031+1 : TPTP v8.1.0. Released v2.7.0.
% 0.00/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun  8 18:22:36 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.40/0.58  
% 0.40/0.58  SPASS V 3.9 
% 0.40/0.58  SPASS beiseite: Proof found.
% 0.40/0.58  % SZS status Theorem
% 0.40/0.58  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.40/0.58  SPASS derived 1827 clauses, backtracked 1781 clauses, performed 25 splits and kept 2974 clauses.
% 0.40/0.58  SPASS allocated 86524 KBytes.
% 0.40/0.58  SPASS spent	0:00:00.24 on the problem.
% 0.40/0.58  		0:00:00.03 for the input.
% 0.40/0.58  		0:00:00.04 for the FLOTTER CNF translation.
% 0.40/0.58  		0:00:00.00 for inferences.
% 0.40/0.58  		0:00:00.00 for the backtracking.
% 0.40/0.58  		0:00:00.14 for the reduction.
% 0.40/0.58  
% 0.40/0.58  
% 0.40/0.58  Here is a proof with depth 5, length 567 :
% 0.40/0.58  % SZS output start Refutation
% 0.40/0.58  1[0:Inp] || equal(e11,e10)** -> .
% 0.40/0.58  3[0:Inp] || equal(e13,e10)** -> .
% 0.40/0.58  8[0:Inp] || equal(e14,e11)** -> .
% 0.40/0.58  10[0:Inp] || equal(e13,e12)** -> .
% 0.40/0.58  13[0:Inp] || equal(e14,e13)** -> .
% 0.40/0.58  14[0:Inp] || equal(e15,e13)** -> .
% 0.40/0.58  16[0:Inp] || equal(e21,e20)** -> .
% 0.40/0.58  18[0:Inp] || equal(e23,e20)** -> .
% 0.40/0.58  19[0:Inp] || equal(e24,e20)** -> .
% 0.40/0.58  20[0:Inp] || equal(e25,e20)** -> .
% 0.40/0.58  21[0:Inp] || equal(e22,e21)** -> .
% 0.40/0.58  24[0:Inp] || equal(e25,e21)** -> .
% 0.40/0.58  25[0:Inp] || equal(e23,e22)** -> .
% 0.40/0.58  26[0:Inp] || equal(e24,e22)** -> .
% 0.40/0.58  27[0:Inp] || equal(e25,e22)** -> .
% 0.40/0.58  68[0:Inp] ||  -> equal(h(j(e21)),e21)**.
% 0.40/0.58  69[0:Inp] ||  -> equal(h(j(e22)),e22)**.
% 0.40/0.58  70[0:Inp] ||  -> equal(h(j(e23)),e23)**.
% 0.40/0.58  71[0:Inp] ||  -> equal(h(j(e24)),e24)**.
% 0.40/0.58  72[0:Inp] ||  -> equal(h(j(e25)),e25)**.
% 0.40/0.58  73[0:Inp] ||  -> equal(j(h(e10)),e10)**.
% 0.40/0.58  74[0:Inp] ||  -> equal(j(h(e11)),e11)**.
% 0.40/0.58  75[0:Inp] ||  -> equal(j(h(e12)),e12)**.
% 0.40/0.58  76[0:Inp] ||  -> equal(j(h(e13)),e13)**.
% 0.40/0.58  77[0:Inp] ||  -> equal(j(h(e14)),e14)**.
% 0.40/0.58  78[0:Inp] ||  -> equal(j(h(e15)),e15)**.
% 0.40/0.58  79[0:Inp] ||  -> equal(op1(e10,e10),e10)**.
% 0.40/0.58  80[0:Inp] ||  -> equal(op1(e10,e11),e11)**.
% 0.40/0.58  81[0:Inp] ||  -> equal(op1(e10,e12),e12)**.
% 0.40/0.58  82[0:Inp] ||  -> equal(op1(e10,e13),e13)**.
% 0.40/0.58  85[0:Inp] ||  -> equal(op1(e11,e10),e11)**.
% 0.40/0.58  86[0:Inp] ||  -> equal(op1(e11,e11),e10)**.
% 0.40/0.58  87[0:Inp] ||  -> equal(op1(e11,e12),e14)**.
% 0.40/0.58  88[0:Inp] ||  -> equal(op1(e11,e13),e15)**.
% 0.40/0.58  89[0:Inp] ||  -> equal(op1(e11,e14),e12)**.
% 0.40/0.58  90[0:Inp] ||  -> equal(op1(e11,e15),e13)**.
% 0.40/0.58  92[0:Inp] ||  -> equal(op1(e12,e11),e14)**.
% 0.40/0.58  93[0:Inp] ||  -> equal(op1(e12,e12),e13)**.
% 0.40/0.58  98[0:Inp] ||  -> equal(op1(e13,e11),e15)**.
% 0.40/0.58  99[0:Inp] ||  -> equal(op1(e13,e12),e10)**.
% 0.40/0.58  100[0:Inp] ||  -> equal(op1(e13,e13),e12)**.
% 0.40/0.58  101[0:Inp] ||  -> equal(op1(e13,e14),e11)**.
% 0.40/0.58  102[0:Inp] ||  -> equal(op1(e13,e15),e14)**.
% 0.40/0.58  105[0:Inp] ||  -> equal(op1(e14,e12),e15)**.
% 0.40/0.58  106[0:Inp] ||  -> equal(op1(e14,e13),e11)**.
% 0.40/0.58  107[0:Inp] ||  -> equal(op1(e14,e14),e13)**.
% 0.40/0.58  110[0:Inp] ||  -> equal(op1(e15,e11),e13)**.
% 0.40/0.58  111[0:Inp] ||  -> equal(op1(e15,e12),e11)**.
% 0.40/0.58  113[0:Inp] ||  -> equal(op1(e15,e14),e10)**.
% 0.40/0.58  114[0:Inp] ||  -> equal(op1(e15,e15),e12)**.
% 0.40/0.58  115[0:Inp] ||  -> equal(op2(e20,e20),e20)**.
% 0.40/0.58  116[0:Inp] ||  -> equal(op2(e20,e21),e21)**.
% 0.40/0.58  117[0:Inp] ||  -> equal(op2(e20,e22),e22)**.
% 0.40/0.58  118[0:Inp] ||  -> equal(op2(e20,e23),e23)**.
% 0.40/0.58  119[0:Inp] ||  -> equal(op2(e20,e24),e24)**.
% 0.40/0.58  120[0:Inp] ||  -> equal(op2(e20,e25),e25)**.
% 0.40/0.58  121[0:Inp] ||  -> equal(op2(e21,e20),e21)**.
% 0.40/0.58  122[0:Inp] ||  -> equal(op2(e21,e21),e20)**.
% 0.40/0.58  123[0:Inp] ||  -> equal(op2(e21,e22),e23)**.
% 0.40/0.58  124[0:Inp] ||  -> equal(op2(e21,e23),e22)**.
% 0.40/0.58  125[0:Inp] ||  -> equal(op2(e21,e24),e25)**.
% 0.40/0.58  126[0:Inp] ||  -> equal(op2(e21,e25),e24)**.
% 0.40/0.58  127[0:Inp] ||  -> equal(op2(e22,e20),e22)**.
% 0.40/0.58  128[0:Inp] ||  -> equal(op2(e22,e21),e24)**.
% 0.40/0.58  129[0:Inp] ||  -> equal(op2(e22,e22),e20)**.
% 0.40/0.58  130[0:Inp] ||  -> equal(op2(e22,e23),e25)**.
% 0.40/0.58  131[0:Inp] ||  -> equal(op2(e22,e24),e21)**.
% 0.40/0.58  132[0:Inp] ||  -> equal(op2(e22,e25),e23)**.
% 0.40/0.58  133[0:Inp] ||  -> equal(op2(e23,e20),e23)**.
% 0.40/0.58  134[0:Inp] ||  -> equal(op2(e23,e21),e25)**.
% 0.40/0.58  135[0:Inp] ||  -> equal(op2(e23,e22),e21)**.
% 0.40/0.58  136[0:Inp] ||  -> equal(op2(e23,e23),e24)**.
% 0.40/0.58  138[0:Inp] ||  -> equal(op2(e23,e25),e22)**.
% 0.40/0.58  139[0:Inp] ||  -> equal(op2(e24,e20),e24)**.
% 0.40/0.58  140[0:Inp] ||  -> equal(op2(e24,e21),e22)**.
% 0.40/0.58  141[0:Inp] ||  -> equal(op2(e24,e22),e25)**.
% 0.40/0.58  143[0:Inp] ||  -> equal(op2(e24,e24),e23)**.
% 0.40/0.58  144[0:Inp] ||  -> equal(op2(e24,e25),e21)**.
% 0.40/0.58  145[0:Inp] ||  -> equal(op2(e25,e20),e25)**.
% 0.40/0.58  146[0:Inp] ||  -> equal(op2(e25,e21),e23)**.
% 0.40/0.58  147[0:Inp] ||  -> equal(op2(e25,e22),e24)**.
% 0.40/0.58  148[0:Inp] ||  -> equal(op2(e25,e23),e21)**.
% 0.40/0.58  149[0:Inp] ||  -> equal(op2(e25,e24),e22)**.
% 0.40/0.58  150[0:Inp] ||  -> equal(op2(e25,e25),e20)**.
% 0.40/0.58  153[0:Inp] ||  -> equal(op2(h(e10),h(e12)),h(op1(e10,e12)))**.
% 0.40/0.58  154[0:Inp] ||  -> equal(op2(h(e10),h(e13)),h(op1(e10,e13)))**.
% 0.40/0.58  159[0:Inp] ||  -> equal(op2(h(e11),h(e12)),h(op1(e11,e12)))**.
% 0.40/0.58  160[0:Inp] ||  -> equal(op2(h(e11),h(e13)),h(op1(e11,e13)))**.
% 0.40/0.58  161[0:Inp] ||  -> equal(op2(h(e11),h(e14)),h(op1(e11,e14)))**.
% 0.40/0.58  162[0:Inp] ||  -> equal(op2(h(e11),h(e15)),h(op1(e11,e15)))**.
% 0.40/0.58  164[0:Inp] ||  -> equal(op2(h(e12),h(e11)),h(op1(e12,e11)))**.
% 0.40/0.58  165[0:Inp] ||  -> equal(op2(h(e12),h(e12)),h(op1(e12,e12)))**.
% 0.40/0.58  170[0:Inp] ||  -> equal(op2(h(e13),h(e11)),h(op1(e13,e11)))**.
% 0.40/0.58  172[0:Inp] ||  -> equal(op2(h(e13),h(e13)),h(op1(e13,e13)))**.
% 0.40/0.58  174[0:Inp] ||  -> equal(op2(h(e13),h(e15)),h(op1(e13,e15)))**.
% 0.40/0.58  177[0:Inp] ||  -> equal(op2(h(e14),h(e12)),h(op1(e14,e12)))**.
% 0.40/0.58  178[0:Inp] ||  -> equal(op2(h(e14),h(e13)),h(op1(e14,e13)))**.
% 0.40/0.58  179[0:Inp] ||  -> equal(op2(h(e14),h(e14)),h(op1(e14,e14)))**.
% 0.40/0.58  182[0:Inp] ||  -> equal(op2(h(e15),h(e11)),h(op1(e15,e11)))**.
% 0.40/0.58  183[0:Inp] ||  -> equal(op2(h(e15),h(e12)),h(op1(e15,e12)))**.
% 0.40/0.58  185[0:Inp] ||  -> equal(op2(h(e15),h(e14)),h(op1(e15,e14)))**.
% 0.40/0.58  186[0:Inp] ||  -> equal(op2(h(e15),h(e15)),h(op1(e15,e15)))**.
% 0.40/0.58  189[0:Inp] ||  -> equal(op1(j(e20),j(e22)),j(op2(e20,e22)))**.
% 0.40/0.58  190[0:Inp] ||  -> equal(op1(j(e20),j(e23)),j(op2(e20,e23)))**.
% 0.40/0.58  191[0:Inp] ||  -> equal(op1(j(e20),j(e24)),j(op2(e20,e24)))**.
% 0.40/0.58  192[0:Inp] ||  -> equal(op1(j(e20),j(e25)),j(op2(e20,e25)))**.
% 0.40/0.58  193[0:Inp] ||  -> equal(op1(j(e21),j(e20)),j(op2(e21,e20)))**.
% 0.40/0.58  194[0:Inp] ||  -> equal(op1(j(e21),j(e21)),j(op2(e21,e21)))**.
% 0.40/0.58  195[0:Inp] ||  -> equal(op1(j(e21),j(e22)),j(op2(e21,e22)))**.
% 0.40/0.58  196[0:Inp] ||  -> equal(op1(j(e21),j(e23)),j(op2(e21,e23)))**.
% 0.40/0.58  197[0:Inp] ||  -> equal(op1(j(e21),j(e24)),j(op2(e21,e24)))**.
% 0.40/0.58  198[0:Inp] ||  -> equal(op1(j(e21),j(e25)),j(op2(e21,e25)))**.
% 0.40/0.58  199[0:Inp] ||  -> equal(op1(j(e22),j(e20)),j(op2(e22,e20)))**.
% 0.40/0.58  200[0:Inp] ||  -> equal(op1(j(e22),j(e21)),j(op2(e22,e21)))**.
% 0.40/0.58  201[0:Inp] ||  -> equal(op1(j(e22),j(e22)),j(op2(e22,e22)))**.
% 0.40/0.58  202[0:Inp] ||  -> equal(op1(j(e22),j(e23)),j(op2(e22,e23)))**.
% 0.40/0.58  203[0:Inp] ||  -> equal(op1(j(e22),j(e24)),j(op2(e22,e24)))**.
% 0.40/0.58  204[0:Inp] ||  -> equal(op1(j(e22),j(e25)),j(op2(e22,e25)))**.
% 0.40/0.58  205[0:Inp] ||  -> equal(op1(j(e23),j(e20)),j(op2(e23,e20)))**.
% 0.40/0.58  206[0:Inp] ||  -> equal(op1(j(e23),j(e21)),j(op2(e23,e21)))**.
% 0.40/0.58  207[0:Inp] ||  -> equal(op1(j(e23),j(e22)),j(op2(e23,e22)))**.
% 0.40/0.58  208[0:Inp] ||  -> equal(op1(j(e23),j(e23)),j(op2(e23,e23)))**.
% 0.40/0.58  210[0:Inp] ||  -> equal(op1(j(e23),j(e25)),j(op2(e23,e25)))**.
% 0.40/0.58  211[0:Inp] ||  -> equal(op1(j(e24),j(e20)),j(op2(e24,e20)))**.
% 0.40/0.58  212[0:Inp] ||  -> equal(op1(j(e24),j(e21)),j(op2(e24,e21)))**.
% 0.40/0.58  213[0:Inp] ||  -> equal(op1(j(e24),j(e22)),j(op2(e24,e22)))**.
% 0.40/0.58  215[0:Inp] ||  -> equal(op1(j(e24),j(e24)),j(op2(e24,e24)))**.
% 0.40/0.58  216[0:Inp] ||  -> equal(op1(j(e24),j(e25)),j(op2(e24,e25)))**.
% 0.40/0.58  218[0:Inp] ||  -> equal(op1(j(e25),j(e21)),j(op2(e25,e21)))**.
% 0.40/0.58  220[0:Inp] ||  -> equal(op1(j(e25),j(e23)),j(op2(e25,e23)))**.
% 0.40/0.58  221[0:Inp] ||  -> equal(op1(j(e25),j(e24)),j(op2(e25,e24)))**.
% 0.40/0.58  222[0:Inp] ||  -> equal(op1(j(e25),j(e25)),j(op2(e25,e25)))**.
% 0.40/0.58  227[0:Inp] ||  -> equal(j(e21),e15)** equal(j(e21),e14) equal(j(e21),e13) equal(j(e21),e12) equal(j(e21),e11) equal(j(e21),e10).
% 0.40/0.58  229[0:Inp] ||  -> equal(h(e15),e25)** equal(h(e15),e24) equal(h(e15),e23) equal(h(e15),e22) equal(h(e15),e21) equal(h(e15),e20).
% 0.40/0.58  232[0:Inp] ||  -> equal(h(e12),e25)** equal(h(e12),e24) equal(h(e12),e23) equal(h(e12),e22) equal(h(e12),e21) equal(h(e12),e20).
% 0.40/0.58  233[0:Inp] ||  -> equal(h(e11),e25)** equal(h(e11),e24) equal(h(e11),e23) equal(h(e11),e22) equal(h(e11),e21) equal(h(e11),e20).
% 0.40/0.58  234[0:Inp] ||  -> equal(h(e10),e25)** equal(h(e10),e24) equal(h(e10),e23) equal(h(e10),e22) equal(h(e10),e21) equal(h(e10),e20).
% 0.40/0.58  235[0:Rew:150.0,222.0] ||  -> equal(op1(j(e25),j(e25)),j(e20))**.
% 0.40/0.58  236[0:Rew:149.0,221.0] ||  -> equal(op1(j(e25),j(e24)),j(e22))**.
% 0.40/0.58  237[0:Rew:148.0,220.0] ||  -> equal(op1(j(e25),j(e23)),j(e21))**.
% 0.40/0.58  239[0:Rew:146.0,218.0] ||  -> equal(op1(j(e25),j(e21)),j(e23))**.
% 0.40/0.58  241[0:Rew:144.0,216.0] ||  -> equal(op1(j(e24),j(e25)),j(e21))**.
% 0.40/0.58  242[0:Rew:143.0,215.0] ||  -> equal(op1(j(e24),j(e24)),j(e23))**.
% 0.40/0.58  244[0:Rew:141.0,213.0] ||  -> equal(op1(j(e24),j(e22)),j(e25))**.
% 0.40/0.58  245[0:Rew:140.0,212.0] ||  -> equal(op1(j(e24),j(e21)),j(e22))**.
% 0.40/0.58  246[0:Rew:139.0,211.0] ||  -> equal(op1(j(e24),j(e20)),j(e24))**.
% 0.40/0.58  247[0:Rew:138.0,210.0] ||  -> equal(op1(j(e23),j(e25)),j(e22))**.
% 0.40/0.58  249[0:Rew:136.0,208.0] ||  -> equal(op1(j(e23),j(e23)),j(e24))**.
% 0.40/0.58  250[0:Rew:135.0,207.0] ||  -> equal(op1(j(e23),j(e22)),j(e21))**.
% 0.40/0.58  251[0:Rew:134.0,206.0] ||  -> equal(op1(j(e23),j(e21)),j(e25))**.
% 0.40/0.58  252[0:Rew:133.0,205.0] ||  -> equal(op1(j(e23),j(e20)),j(e23))**.
% 0.40/0.58  253[0:Rew:132.0,204.0] ||  -> equal(op1(j(e22),j(e25)),j(e23))**.
% 0.40/0.58  254[0:Rew:131.0,203.0] ||  -> equal(op1(j(e22),j(e24)),j(e21))**.
% 0.40/0.58  255[0:Rew:130.0,202.0] ||  -> equal(op1(j(e22),j(e23)),j(e25))**.
% 0.40/0.58  256[0:Rew:129.0,201.0] ||  -> equal(op1(j(e22),j(e22)),j(e20))**.
% 0.40/0.58  257[0:Rew:128.0,200.0] ||  -> equal(op1(j(e22),j(e21)),j(e24))**.
% 0.40/0.58  258[0:Rew:127.0,199.0] ||  -> equal(op1(j(e22),j(e20)),j(e22))**.
% 0.40/0.58  259[0:Rew:126.0,198.0] ||  -> equal(op1(j(e21),j(e25)),j(e24))**.
% 0.40/0.58  260[0:Rew:125.0,197.0] ||  -> equal(op1(j(e21),j(e24)),j(e25))**.
% 0.40/0.58  261[0:Rew:124.0,196.0] ||  -> equal(op1(j(e21),j(e23)),j(e22))**.
% 0.40/0.58  262[0:Rew:123.0,195.0] ||  -> equal(op1(j(e21),j(e22)),j(e23))**.
% 0.40/0.58  263[0:Rew:122.0,194.0] ||  -> equal(op1(j(e21),j(e21)),j(e20))**.
% 0.40/0.58  264[0:Rew:121.0,193.0] ||  -> equal(op1(j(e21),j(e20)),j(e21))**.
% 0.40/0.58  265[0:Rew:120.0,192.0] ||  -> equal(op1(j(e20),j(e25)),j(e25))**.
% 0.40/0.58  266[0:Rew:119.0,191.0] ||  -> equal(op1(j(e20),j(e24)),j(e24))**.
% 0.40/0.58  267[0:Rew:118.0,190.0] ||  -> equal(op1(j(e20),j(e23)),j(e23))**.
% 0.40/0.58  268[0:Rew:117.0,189.0] ||  -> equal(op1(j(e20),j(e22)),j(e22))**.
% 0.40/0.58  271[0:Rew:114.0,186.0] ||  -> equal(op2(h(e15),h(e15)),h(e12))**.
% 0.40/0.58  272[0:Rew:113.0,185.0] ||  -> equal(op2(h(e15),h(e14)),h(e10))**.
% 0.40/0.58  274[0:Rew:111.0,183.0] ||  -> equal(op2(h(e15),h(e12)),h(e11))**.
% 0.40/0.58  275[0:Rew:110.0,182.0] ||  -> equal(op2(h(e15),h(e11)),h(e13))**.
% 0.40/0.58  278[0:Rew:107.0,179.0] ||  -> equal(op2(h(e14),h(e14)),h(e13))**.
% 0.40/0.58  279[0:Rew:106.0,178.0] ||  -> equal(op2(h(e14),h(e13)),h(e11))**.
% 0.40/0.58  280[0:Rew:105.0,177.0] ||  -> equal(op2(h(e14),h(e12)),h(e15))**.
% 0.40/0.58  283[0:Rew:102.0,174.0] ||  -> equal(op2(h(e13),h(e15)),h(e14))**.
% 0.40/0.58  285[0:Rew:100.0,172.0] ||  -> equal(op2(h(e13),h(e13)),h(e12))**.
% 0.40/0.58  287[0:Rew:98.0,170.0] ||  -> equal(op2(h(e13),h(e11)),h(e15))**.
% 0.40/0.58  292[0:Rew:93.0,165.0] ||  -> equal(op2(h(e12),h(e12)),h(e13))**.
% 0.40/0.58  293[0:Rew:92.0,164.0] ||  -> equal(op2(h(e12),h(e11)),h(e14))**.
% 0.40/0.58  295[0:Rew:90.0,162.0] ||  -> equal(op2(h(e11),h(e15)),h(e13))**.
% 0.40/0.58  296[0:Rew:89.0,161.0] ||  -> equal(op2(h(e11),h(e14)),h(e12))**.
% 0.40/0.58  297[0:Rew:88.0,160.0] ||  -> equal(op2(h(e11),h(e13)),h(e15))**.
% 0.40/0.58  298[0:Rew:87.0,159.0] ||  -> equal(op2(h(e11),h(e12)),h(e14))**.
% 0.40/0.58  303[0:Rew:82.0,154.0] ||  -> equal(op2(h(e10),h(e13)),h(e13))**.
% 0.40/0.58  304[0:Rew:81.0,153.0] ||  -> equal(op2(h(e10),h(e12)),h(e12))**.
% 0.40/0.58  307[1:Spt:234.0] ||  -> equal(h(e10),e25)**.
% 0.40/0.58  308[1:Rew:307.0,73.0] ||  -> equal(j(e25),e10)**.
% 0.40/0.58  326[1:Rew:308.0,235.0] ||  -> equal(op1(e10,e10),j(e20))**.
% 0.40/0.58  327[1:Rew:308.0,236.0] ||  -> equal(op1(e10,j(e24)),j(e22))**.
% 0.40/0.58  332[1:Rew:308.0,241.0] ||  -> equal(op1(j(e24),e10),j(e21))**.
% 0.40/0.58  334[1:Rew:308.0,247.0] ||  -> equal(op1(j(e23),e10),j(e22))**.
% 0.40/0.58  343[1:Rew:79.0,326.0] ||  -> equal(j(e20),e10)**.
% 0.40/0.58  346[1:Rew:343.0,246.0] ||  -> equal(op1(j(e24),e10),j(e24))**.
% 0.40/0.58  348[1:Rew:343.0,252.0] ||  -> equal(op1(j(e23),e10),j(e23))**.
% 0.40/0.58  351[1:Rew:343.0,263.0] ||  -> equal(op1(j(e21),j(e21)),e10)**.
% 0.40/0.58  353[1:Rew:343.0,266.0] ||  -> equal(op1(e10,j(e24)),j(e24))**.
% 0.40/0.58  362[1:Rew:332.0,346.0] ||  -> equal(j(e24),j(e21))**.
% 0.40/0.58  364[1:Rew:362.0,242.0] ||  -> equal(op1(j(e21),j(e21)),j(e23))**.
% 0.40/0.58  370[1:Rew:362.0,327.0] ||  -> equal(op1(e10,j(e21)),j(e22))**.
% 0.40/0.58  380[1:Rew:334.0,348.0] ||  -> equal(j(e23),j(e22))**.
% 0.40/0.58  394[1:Rew:362.0,353.0] ||  -> equal(op1(e10,j(e21)),j(e21))**.
% 0.40/0.58  396[1:Rew:394.0,370.0] ||  -> equal(j(e22),j(e21))**.
% 0.40/0.58  399[1:Rew:396.0,380.0] ||  -> equal(j(e23),j(e21))**.
% 0.40/0.58  414[1:Rew:351.0,364.0,399.0,364.0] ||  -> equal(j(e21),e10)**.
% 0.40/0.58  415[1:Rew:414.0,68.0] ||  -> equal(h(e10),e21)**.
% 0.40/0.58  422[1:Rew:307.0,415.0] ||  -> equal(e25,e21)**.
% 0.40/0.58  423[1:MRR:422.0,24.0] ||  -> .
% 0.40/0.58  431[1:Spt:423.0,234.0,307.0] || equal(h(e10),e25)** -> .
% 0.40/0.58  432[1:Spt:423.0,234.1,234.2,234.3,234.4,234.5] ||  -> equal(h(e10),e24)** equal(h(e10),e23) equal(h(e10),e22) equal(h(e10),e21) equal(h(e10),e20).
% 0.40/0.58  433[2:Spt:432.0] ||  -> equal(h(e10),e24)**.
% 0.40/0.58  434[2:Rew:433.0,73.0] ||  -> equal(j(e24),e10)**.
% 0.40/0.58  464[2:Rew:434.0,254.0] ||  -> equal(op1(j(e22),e10),j(e21))**.
% 0.40/0.58  466[2:Rew:434.0,245.0] ||  -> equal(op1(e10,j(e21)),j(e22))**.
% 0.40/0.58  467[2:Rew:434.0,242.0] ||  -> equal(op1(e10,e10),j(e23))**.
% 0.40/0.58  470[2:Rew:79.0,467.0] ||  -> equal(j(e23),e10)**.
% 0.40/0.58  472[2:Rew:470.0,255.0] ||  -> equal(op1(j(e22),e10),j(e25))**.
% 0.40/0.58  474[2:Rew:470.0,251.0] ||  -> equal(op1(e10,j(e21)),j(e25))**.
% 0.40/0.58  503[2:Rew:464.0,472.0] ||  -> equal(j(e25),j(e21))**.
% 0.40/0.58  515[2:Rew:466.0,474.0,503.0,474.0] ||  -> equal(j(e22),j(e21))**.
% 0.40/0.58  516[2:Rew:515.0,69.0] ||  -> equal(h(j(e21)),e22)**.
% 0.40/0.58  521[2:Rew:68.0,516.0] ||  -> equal(e22,e21)**.
% 0.40/0.58  522[2:MRR:521.0,21.0] ||  -> .
% 0.40/0.58  540[2:Spt:522.0,432.0,433.0] || equal(h(e10),e24)** -> .
% 0.40/0.58  541[2:Spt:522.0,432.1,432.2,432.3,432.4] ||  -> equal(h(e10),e23)** equal(h(e10),e22) equal(h(e10),e21) equal(h(e10),e20).
% 0.40/0.58  542[3:Spt:541.0] ||  -> equal(h(e10),e23)**.
% 0.40/0.58  544[3:Rew:542.0,73.0] ||  -> equal(j(e23),e10)**.
% 0.40/0.58  564[3:Rew:544.0,249.0] ||  -> equal(op1(e10,e10),j(e24))**.
% 0.40/0.58  575[3:Rew:544.0,251.0] ||  -> equal(op1(e10,j(e21)),j(e25))**.
% 0.40/0.58  580[3:Rew:79.0,564.0] ||  -> equal(j(e24),e10)**.
% 0.40/0.58  582[3:Rew:580.0,245.0] ||  -> equal(op1(e10,j(e21)),j(e22))**.
% 0.40/0.58  583[3:Rew:580.0,254.0] ||  -> equal(op1(j(e22),e10),j(e21))**.
% 0.40/0.58  587[3:Rew:580.0,236.0] ||  -> equal(op1(j(e25),e10),j(e22))**.
% 0.40/0.58  613[3:Rew:575.0,582.0] ||  -> equal(j(e25),j(e22))**.
% 0.40/0.58  624[3:Rew:583.0,587.0,613.0,587.0] ||  -> equal(j(e22),j(e21))**.
% 0.40/0.58  625[3:Rew:624.0,69.0] ||  -> equal(h(j(e21)),e22)**.
% 0.40/0.58  633[3:Rew:68.0,625.0] ||  -> equal(e22,e21)**.
% 0.40/0.58  634[3:MRR:633.0,21.0] ||  -> .
% 0.40/0.58  654[3:Spt:634.0,541.0,542.0] || equal(h(e10),e23)** -> .
% 0.40/0.58  655[3:Spt:634.0,541.1,541.2,541.3] ||  -> equal(h(e10),e22)** equal(h(e10),e21) equal(h(e10),e20).
% 0.40/0.58  656[4:Spt:655.0] ||  -> equal(h(e10),e22)**.
% 0.40/0.58  658[4:Rew:656.0,73.0] ||  -> equal(j(e22),e10)**.
% 0.40/0.58  678[4:Rew:658.0,255.0] ||  -> equal(op1(e10,j(e23)),j(e25))**.
% 0.40/0.58  683[4:Rew:658.0,250.0] ||  -> equal(op1(j(e23),e10),j(e21))**.
% 0.40/0.58  692[4:Rew:658.0,256.0] ||  -> equal(op1(e10,e10),j(e20))**.
% 0.40/0.58  695[4:Rew:79.0,692.0] ||  -> equal(j(e20),e10)**.
% 0.40/0.58  697[4:Rew:695.0,267.0] ||  -> equal(op1(e10,j(e23)),j(e23))**.
% 0.40/0.58  698[4:Rew:695.0,252.0] ||  -> equal(op1(j(e23),e10),j(e23))**.
% 0.40/0.58  705[4:Rew:695.0,235.0] ||  -> equal(op1(j(e25),j(e25)),e10)**.
% 0.40/0.58  714[4:Rew:678.0,697.0] ||  -> equal(j(e25),j(e23))**.
% 0.40/0.58  716[4:Rew:714.0,251.0] ||  -> equal(op1(j(e23),j(e21)),j(e23))**.
% 0.40/0.58  731[4:Rew:683.0,698.0] ||  -> equal(j(e23),j(e21))**.
% 0.40/0.58  739[4:Rew:731.0,714.0] ||  -> equal(j(e25),j(e21))**.
% 0.40/0.58  756[4:Rew:739.0,705.0] ||  -> equal(op1(j(e21),j(e21)),e10)**.
% 0.40/0.58  763[4:Rew:756.0,716.0,731.0,716.0] ||  -> equal(j(e21),e10)**.
% 0.40/0.58  764[4:Rew:763.0,68.0] ||  -> equal(h(e10),e21)**.
% 0.40/0.58  771[4:Rew:656.0,764.0] ||  -> equal(e22,e21)**.
% 0.40/0.58  772[4:MRR:771.0,21.0] ||  -> .
% 0.40/0.58  780[4:Spt:772.0,655.0,656.0] || equal(h(e10),e22)** -> .
% 0.40/0.58  781[4:Spt:772.0,655.1,655.2] ||  -> equal(h(e10),e21)** equal(h(e10),e20).
% 0.40/0.58  782[5:Spt:781.0] ||  -> equal(h(e10),e21)**.
% 0.40/0.58  785[5:Rew:782.0,73.0] ||  -> equal(j(e21),e10)**.
% 0.40/0.58  807[5:Rew:785.0,257.0] ||  -> equal(op1(j(e22),e10),j(e24))**.
% 0.40/0.58  811[5:Rew:785.0,263.0] ||  -> equal(op1(e10,e10),j(e20))**.
% 0.40/0.58  815[5:Rew:785.0,259.0] ||  -> equal(op1(e10,j(e25)),j(e24))**.
% 0.40/0.58  822[5:Rew:79.0,811.0] ||  -> equal(j(e20),e10)**.
% 0.40/0.58  824[5:Rew:822.0,256.0] ||  -> equal(op1(j(e22),j(e22)),e10)**.
% 0.40/0.58  825[5:Rew:822.0,258.0] ||  -> equal(op1(j(e22),e10),j(e22))**.
% 0.40/0.58  830[5:Rew:822.0,265.0] ||  -> equal(op1(e10,j(e25)),j(e25))**.
% 0.40/0.58  841[5:Rew:807.0,825.0] ||  -> equal(j(e24),j(e22))**.
% 0.40/0.58  843[5:Rew:841.0,236.0] ||  -> equal(op1(j(e25),j(e22)),j(e22))**.
% 0.40/0.58  853[5:Rew:841.0,815.0] ||  -> equal(op1(e10,j(e25)),j(e22))**.
% 0.40/0.58  877[5:Rew:830.0,853.0] ||  -> equal(j(e25),j(e22))**.
% 0.40/0.58  890[5:Rew:824.0,843.0,877.0,843.0] ||  -> equal(j(e22),e10)**.
% 0.40/0.58  891[5:Rew:890.0,69.0] ||  -> equal(h(e10),e22)**.
% 0.40/0.58  898[5:Rew:782.0,891.0] ||  -> equal(e22,e21)**.
% 0.40/0.58  899[5:MRR:898.0,21.0] ||  -> .
% 0.40/0.58  907[5:Spt:899.0,781.0,782.0] || equal(h(e10),e21)** -> .
% 0.40/0.58  908[5:Spt:899.0,781.1] ||  -> equal(h(e10),e20)**.
% 0.40/0.58  911[5:Rew:908.0,73.0] ||  -> equal(j(e20),e10)**.
% 0.40/0.58  918[5:Rew:908.0,304.0] ||  -> equal(op2(e20,h(e12)),h(e12))**.
% 0.40/0.58  919[5:Rew:908.0,303.0] ||  -> equal(op2(e20,h(e13)),h(e13))**.
% 0.40/0.58  931[5:Rew:908.0,272.0] ||  -> equal(op2(h(e15),h(e14)),e20)**.
% 0.40/0.58  933[5:Rew:911.0,264.0] ||  -> equal(op1(j(e21),e10),j(e21))**.
% 0.40/0.58  934[5:Rew:911.0,263.0] ||  -> equal(op1(j(e21),j(e21)),e10)**.
% 0.40/0.58  941[5:Rew:911.0,265.0] ||  -> equal(op1(e10,j(e25)),j(e25))**.
% 0.40/0.58  945[5:Rew:911.0,268.0] ||  -> equal(op1(e10,j(e22)),j(e22))**.
% 0.40/0.58  949[6:Spt:233.0] ||  -> equal(h(e11),e25)**.
% 0.40/0.58  950[6:Rew:949.0,74.0] ||  -> equal(j(e25),e11)**.
% 0.40/0.58  953[6:Rew:949.0,279.0] ||  -> equal(op2(h(e14),h(e13)),e25)**.
% 0.40/0.58  956[6:Rew:949.0,287.0] ||  -> equal(op2(h(e13),e25),h(e15))**.
% 0.40/0.58  958[6:Rew:949.0,293.0] ||  -> equal(op2(h(e12),e25),h(e14))**.
% 0.40/0.58  959[6:Rew:949.0,295.0] ||  -> equal(op2(e25,h(e15)),h(e13))**.
% 0.40/0.58  961[6:Rew:949.0,297.0] ||  -> equal(op2(e25,h(e13)),h(e15))**.
% 0.40/0.58  962[6:Rew:949.0,298.0] ||  -> equal(op2(e25,h(e12)),h(e14))**.
% 0.40/0.58  968[6:Rew:950.0,239.0] ||  -> equal(op1(e11,j(e21)),j(e23))**.
% 0.40/0.58  969[6:Rew:950.0,237.0] ||  -> equal(op1(e11,j(e23)),j(e21))**.
% 0.40/0.58  972[6:Rew:950.0,241.0] ||  -> equal(op1(j(e24),e11),j(e21))**.
% 0.40/0.58  980[6:Rew:950.0,253.0] ||  -> equal(op1(j(e22),e11),j(e23))**.
% 0.40/0.58  983[7:Spt:232.0] ||  -> equal(h(e12),e25)**.
% 0.40/0.58  989[7:Rew:983.0,292.0] ||  -> equal(op2(e25,e25),h(e13))**.
% 0.40/0.58  997[7:Rew:983.0,958.0] ||  -> equal(op2(e25,e25),h(e14))**.
% 0.40/0.58  1002[7:Rew:150.0,989.0] ||  -> equal(h(e13),e20)**.
% 0.40/0.58  1006[7:Rew:1002.0,283.0] ||  -> equal(op2(e20,h(e15)),h(e14))**.
% 0.40/0.58  1012[7:Rew:1002.0,956.0] ||  -> equal(op2(e20,e25),h(e15))**.
% 0.40/0.58  1021[7:Rew:150.0,997.0] ||  -> equal(h(e14),e20)**.
% 0.40/0.58  1038[7:Rew:120.0,1012.0] ||  -> equal(h(e15),e25)**.
% 0.40/0.58  1065[7:Rew:120.0,1006.0,1038.0,1006.0,1021.0,1006.0] ||  -> equal(e25,e20)**.
% 0.40/0.58  1066[7:MRR:1065.0,20.0] ||  -> .
% 0.40/0.58  1067[7:Spt:1066.0,232.0,983.0] || equal(h(e12),e25)** -> .
% 0.40/0.58  1068[7:Spt:1066.0,232.1,232.2,232.3,232.4,232.5] ||  -> equal(h(e12),e24)** equal(h(e12),e23) equal(h(e12),e22) equal(h(e12),e21) equal(h(e12),e20).
% 0.40/0.58  1069[8:Spt:1068.0] ||  -> equal(h(e12),e24)**.
% 0.40/0.58  1070[8:Rew:1069.0,75.0] ||  -> equal(j(e24),e12)**.
% 0.40/0.58  1072[8:Rew:1069.0,962.0] ||  -> equal(op2(e25,e24),h(e14))**.
% 0.40/0.58  1082[8:Rew:1069.0,292.0] ||  -> equal(op2(e24,e24),h(e13))**.
% 0.40/0.58  1099[8:Rew:1070.0,972.0] ||  -> equal(op1(e12,e11),j(e21))**.
% 0.40/0.58  1103[8:Rew:149.0,1072.0] ||  -> equal(h(e14),e22)**.
% 0.40/0.58  1104[8:Rew:1103.0,77.0] ||  -> equal(j(e22),e14)**.
% 0.40/0.58  1117[8:Rew:1104.0,250.0] ||  -> equal(op1(j(e23),e14),j(e21))**.
% 0.40/0.58  1131[8:Rew:143.0,1082.0] ||  -> equal(h(e13),e23)**.
% 0.40/0.58  1132[8:Rew:1131.0,76.0] ||  -> equal(j(e23),e13)**.
% 0.40/0.58  1150[8:Rew:92.0,1099.0] ||  -> equal(j(e21),e14)**.
% 0.40/0.58  1222[8:Rew:101.0,1117.0,1132.0,1117.0,1150.0,1117.0] ||  -> equal(e14,e11)**.
% 0.40/0.58  1223[8:MRR:1222.0,8.0] ||  -> .
% 0.40/0.58  1224[8:Spt:1223.0,1068.0,1069.0] || equal(h(e12),e24)** -> .
% 0.40/0.58  1225[8:Spt:1223.0,1068.1,1068.2,1068.3,1068.4] ||  -> equal(h(e12),e23)** equal(h(e12),e22) equal(h(e12),e21) equal(h(e12),e20).
% 0.40/0.58  1226[9:Spt:1225.0] ||  -> equal(h(e12),e23)**.
% 0.40/0.58  1228[9:Rew:1226.0,75.0] ||  -> equal(j(e23),e12)**.
% 0.40/0.58  1237[9:Rew:1226.0,958.0] ||  -> equal(op2(e23,e25),h(e14))**.
% 0.40/0.58  1244[9:Rew:1226.0,292.0] ||  -> equal(op2(e23,e23),h(e13))**.
% 0.40/0.58  1251[9:Rew:1228.0,969.0] ||  -> equal(op1(e11,e12),j(e21))**.
% 0.40/0.58  1261[9:Rew:138.0,1237.0] ||  -> equal(h(e14),e22)**.
% 0.40/0.58  1262[9:Rew:1261.0,77.0] ||  -> equal(j(e22),e14)**.
% 0.40/0.58  1281[9:Rew:1262.0,254.0] ||  -> equal(op1(e14,j(e24)),j(e21))**.
% 0.40/0.58  1289[9:Rew:136.0,1244.0] ||  -> equal(h(e13),e24)**.
% 0.40/0.58  1290[9:Rew:1289.0,76.0] ||  -> equal(j(e24),e13)**.
% 0.40/0.58  1311[9:Rew:87.0,1251.0] ||  -> equal(j(e21),e14)**.
% 0.40/0.58  1378[9:Rew:106.0,1281.0,1290.0,1281.0,1311.0,1281.0] ||  -> equal(e14,e11)**.
% 0.40/0.58  1379[9:MRR:1378.0,8.0] ||  -> .
% 0.40/0.58  1381[9:Spt:1379.0,1225.0,1226.0] || equal(h(e12),e23)** -> .
% 0.40/0.58  1382[9:Spt:1379.0,1225.1,1225.2,1225.3] ||  -> equal(h(e12),e22)** equal(h(e12),e21) equal(h(e12),e20).
% 0.40/0.58  1383[10:Spt:1382.0] ||  -> equal(h(e12),e22)**.
% 0.40/0.58  1385[10:Rew:1383.0,75.0] ||  -> equal(j(e22),e12)**.
% 0.40/0.58  1388[10:Rew:1383.0,962.0] ||  -> equal(op2(e25,e22),h(e14))**.
% 0.40/0.58  1405[10:Rew:1385.0,980.0] ||  -> equal(op1(e12,e11),j(e23))**.
% 0.40/0.58  1421[10:Rew:147.0,1388.0] ||  -> equal(h(e14),e24)**.
% 0.40/0.58  1422[10:Rew:1421.0,77.0] ||  -> equal(j(e24),e14)**.
% 0.40/0.58  1440[10:Rew:1422.0,249.0] ||  -> equal(op1(j(e23),j(e23)),e14)**.
% 0.40/0.58  1463[10:Rew:92.0,1405.0] ||  -> equal(j(e23),e14)**.
% 0.40/0.58  1553[10:Rew:107.0,1440.0,1463.0,1440.0] ||  -> equal(e14,e13)**.
% 0.40/0.58  1554[10:MRR:1553.0,13.0] ||  -> .
% 0.40/0.58  1555[10:Spt:1554.0,1382.0,1383.0] || equal(h(e12),e22)** -> .
% 0.40/0.58  1556[10:Spt:1554.0,1382.1,1382.2] ||  -> equal(h(e12),e21)** equal(h(e12),e20).
% 0.40/0.58  1557[11:Spt:1556.0] ||  -> equal(h(e12),e21)**.
% 0.40/0.58  1560[11:Rew:1557.0,75.0] ||  -> equal(j(e21),e12)**.
% 0.40/0.58  1570[11:Rew:1557.0,958.0] ||  -> equal(op2(e21,e25),h(e14))**.
% 0.40/0.58  1583[11:Rew:1560.0,968.0] ||  -> equal(op1(e11,e12),j(e23))**.
% 0.40/0.58  1596[11:Rew:126.0,1570.0] ||  -> equal(h(e14),e24)**.
% 0.40/0.58  1597[11:Rew:1596.0,77.0] ||  -> equal(j(e24),e14)**.
% 0.40/0.58  1617[11:Rew:1597.0,249.0] ||  -> equal(op1(j(e23),j(e23)),e14)**.
% 0.40/0.58  1642[11:Rew:87.0,1583.0] ||  -> equal(j(e23),e14)**.
% 0.40/0.58  1726[11:Rew:107.0,1617.0,1642.0,1617.0] ||  -> equal(e14,e13)**.
% 0.40/0.58  1727[11:MRR:1726.0,13.0] ||  -> .
% 0.40/0.58  1728[11:Spt:1727.0,1556.0,1557.0] || equal(h(e12),e21)** -> .
% 0.40/0.58  1729[11:Spt:1727.0,1556.1] ||  -> equal(h(e12),e20)**.
% 0.40/0.58  1737[11:Rew:145.0,962.0,1729.0,962.0] ||  -> equal(h(e14),e25)**.
% 0.40/0.58  1751[11:Rew:1737.0,953.0] ||  -> equal(op2(e25,h(e13)),e25)**.
% 0.40/0.58  1756[11:Rew:1751.0,961.0] ||  -> equal(h(e15),e25)**.
% 0.40/0.58  1764[11:Rew:150.0,959.0,1756.0,959.0] ||  -> equal(h(e13),e20)**.
% 0.40/0.58  1765[11:Rew:1764.0,76.0] ||  -> equal(j(e20),e13)**.
% 0.40/0.58  1770[11:Rew:911.0,1765.0] ||  -> equal(e13,e10)**.
% 0.40/0.58  1771[11:MRR:1770.0,3.0] ||  -> .
% 0.40/0.58  1786[6:Spt:1771.0,233.0,949.0] || equal(h(e11),e25)** -> .
% 0.40/0.58  1787[6:Spt:1771.0,233.1,233.2,233.3,233.4,233.5] ||  -> equal(h(e11),e24)** equal(h(e11),e23) equal(h(e11),e22) equal(h(e11),e21) equal(h(e11),e20).
% 0.40/0.58  1788[7:Spt:1787.0] ||  -> equal(h(e11),e24)**.
% 0.40/0.58  1789[7:Rew:1788.0,74.0] ||  -> equal(j(e24),e11)**.
% 0.40/0.58  1815[7:Rew:1789.0,242.0] ||  -> equal(op1(e11,e11),j(e23))**.
% 0.40/0.58  1820[7:Rew:1789.0,259.0] ||  -> equal(op1(j(e21),j(e25)),e11)**.
% 0.40/0.58  1824[7:Rew:86.0,1815.0] ||  -> equal(j(e23),e10)**.
% 0.40/0.58  1829[7:Rew:1824.0,261.0] ||  -> equal(op1(j(e21),e10),j(e22))**.
% 0.40/0.58  1831[7:Rew:1824.0,247.0] ||  -> equal(op1(e10,j(e25)),j(e22))**.
% 0.40/0.58  1847[7:Rew:933.0,1829.0] ||  -> equal(j(e22),j(e21))**.
% 0.40/0.58  1863[7:Rew:941.0,1831.0,1847.0,1831.0] ||  -> equal(j(e25),j(e21))**.
% 0.40/0.58  1870[7:Rew:1863.0,1820.0] ||  -> equal(op1(j(e21),j(e21)),e11)**.
% 0.40/0.58  1885[7:Rew:934.0,1870.0] ||  -> equal(e11,e10)**.
% 0.40/0.58  1886[7:MRR:1885.0,1.0] ||  -> .
% 0.40/0.58  1889[7:Spt:1886.0,1787.0,1788.0] || equal(h(e11),e24)** -> .
% 0.40/0.58  1890[7:Spt:1886.0,1787.1,1787.2,1787.3,1787.4] ||  -> equal(h(e11),e23)** equal(h(e11),e22) equal(h(e11),e21) equal(h(e11),e20).
% 0.40/0.58  1891[8:Spt:1890.0] ||  -> equal(h(e11),e23)**.
% 0.40/0.58  1893[8:Rew:1891.0,74.0] ||  -> equal(j(e23),e11)**.
% 0.40/0.58  1916[8:Rew:1893.0,249.0] ||  -> equal(op1(e11,e11),j(e24))**.
% 0.40/0.58  1925[8:Rew:1893.0,262.0] ||  -> equal(op1(j(e21),j(e22)),e11)**.
% 0.40/0.58  1928[8:Rew:86.0,1916.0] ||  -> equal(j(e24),e10)**.
% 0.40/0.58  1932[8:Rew:1928.0,260.0] ||  -> equal(op1(j(e21),e10),j(e25))**.
% 0.40/0.58  1935[8:Rew:1928.0,244.0] ||  -> equal(op1(e10,j(e22)),j(e25))**.
% 0.40/0.58  1951[8:Rew:933.0,1932.0] ||  -> equal(j(e25),j(e21))**.
% 0.40/0.58  1967[8:Rew:945.0,1935.0,1951.0,1935.0] ||  -> equal(j(e22),j(e21))**.
% 0.40/0.58  1975[8:Rew:1967.0,1925.0] ||  -> equal(op1(j(e21),j(e21)),e11)**.
% 0.40/0.58  1989[8:Rew:934.0,1975.0] ||  -> equal(e11,e10)**.
% 0.40/0.58  1990[8:MRR:1989.0,1.0] ||  -> .
% 0.40/0.58  1993[8:Spt:1990.0,1890.0,1891.0] || equal(h(e11),e23)** -> .
% 0.40/0.58  1994[8:Spt:1990.0,1890.1,1890.2,1890.3] ||  -> equal(h(e11),e22)** equal(h(e11),e21) equal(h(e11),e20).
% 0.40/0.58  1995[9:Spt:1994.0] ||  -> equal(h(e11),e22)**.
% 0.40/0.58  1997[9:Rew:1995.0,74.0] ||  -> equal(j(e22),e11)**.
% 0.40/0.58  2003[9:Rew:1995.0,298.0] ||  -> equal(op2(e22,h(e12)),h(e14))**.
% 0.40/0.58  2009[9:Rew:1995.0,287.0] ||  -> equal(op2(h(e13),e22),h(e15))**.
% 0.40/0.58  2019[9:Rew:1997.0,262.0] ||  -> equal(op1(j(e21),e11),j(e23))**.
% 0.40/0.58  2022[9:Rew:1997.0,247.0] ||  -> equal(op1(j(e23),j(e25)),e11)**.
% 0.40/0.58  2025[9:Rew:1997.0,257.0] ||  -> equal(op1(e11,j(e21)),j(e24))**.
% 0.40/0.58  2032[10:Spt:227.0] ||  -> equal(j(e21),e15)**.
% 0.40/0.58  2033[10:Rew:2032.0,68.0] ||  -> equal(h(e15),e21)**.
% 0.40/0.58  2043[10:Rew:2032.0,2019.0] ||  -> equal(op1(e15,e11),j(e23))**.
% 0.40/0.58  2056[10:Rew:2033.0,271.0] ||  -> equal(op2(e21,e21),h(e12))**.
% 0.40/0.58  2067[10:Rew:110.0,2043.0] ||  -> equal(j(e23),e13)**.
% 0.40/0.58  2068[10:Rew:2067.0,70.0] ||  -> equal(h(e13),e23)**.
% 0.40/0.58  2085[10:Rew:2068.0,278.0] ||  -> equal(op2(h(e14),h(e14)),e23)**.
% 0.40/0.58  2103[10:Rew:122.0,2056.0] ||  -> equal(h(e12),e20)**.
% 0.40/0.58  2107[10:Rew:2103.0,2003.0] ||  -> equal(op2(e22,e20),h(e14))**.
% 0.40/0.58  2152[10:Rew:127.0,2107.0] ||  -> equal(h(e14),e22)**.
% 0.40/0.58  2196[10:Rew:129.0,2085.0,2152.0,2085.0] ||  -> equal(e23,e20)**.
% 0.40/0.58  2197[10:MRR:2196.0,18.0] ||  -> .
% 0.40/0.58  2198[10:Spt:2197.0,227.0,2032.0] || equal(j(e21),e15)** -> .
% 0.40/0.58  2199[10:Spt:2197.0,227.1,227.2,227.3,227.4,227.5] ||  -> equal(j(e21),e14)** equal(j(e21),e13) equal(j(e21),e12) equal(j(e21),e11) equal(j(e21),e10).
% 0.40/0.58  2200[11:Spt:2199.0] ||  -> equal(j(e21),e14)**.
% 0.40/0.58  2201[11:Rew:2200.0,68.0] ||  -> equal(h(e14),e21)**.
% 0.40/0.58  2205[11:Rew:2200.0,2025.0] ||  -> equal(op1(e11,e14),j(e24))**.
% 0.40/0.58  2233[11:Rew:2201.0,278.0] ||  -> equal(op2(e21,e21),h(e13))**.
% 0.40/0.58  2236[11:Rew:89.0,2205.0] ||  -> equal(j(e24),e12)**.
% 0.40/0.58  2237[11:Rew:2236.0,71.0] ||  -> equal(h(e12),e24)**.
% 0.40/0.58  2257[11:Rew:2237.0,285.0] ||  -> equal(op2(h(e13),h(e13)),e24)**.
% 0.40/0.58  2280[11:Rew:122.0,2233.0] ||  -> equal(h(e13),e20)**.
% 0.40/0.58  2368[11:Rew:115.0,2257.0,2280.0,2257.0] ||  -> equal(e24,e20)**.
% 0.40/0.58  2369[11:MRR:2368.0,19.0] ||  -> .
% 0.40/0.58  2370[11:Spt:2369.0,2199.0,2200.0] || equal(j(e21),e14)** -> .
% 0.40/0.58  2371[11:Spt:2369.0,2199.1,2199.2,2199.3,2199.4] ||  -> equal(j(e21),e13)** equal(j(e21),e12) equal(j(e21),e11) equal(j(e21),e10).
% 0.40/0.58  2372[12:Spt:2371.0] ||  -> equal(j(e21),e13)**.
% 0.40/0.58  2374[12:Rew:2372.0,68.0] ||  -> equal(h(e13),e21)**.
% 0.40/0.58  2379[12:Rew:2372.0,2019.0] ||  -> equal(op1(e13,e11),j(e23))**.
% 0.40/0.58  2406[12:Rew:2374.0,285.0] ||  -> equal(op2(e21,e21),h(e12))**.
% 0.40/0.58  2409[12:Rew:98.0,2379.0] ||  -> equal(j(e23),e15)**.
% 0.40/0.58  2410[12:Rew:2409.0,70.0] ||  -> equal(h(e15),e23)**.
% 0.40/0.58  2428[12:Rew:2410.0,280.0] ||  -> equal(op2(h(e14),h(e12)),e23)**.
% 0.40/0.58  2451[12:Rew:122.0,2406.0] ||  -> equal(h(e12),e20)**.
% 0.40/0.58  2453[12:Rew:2451.0,2003.0] ||  -> equal(op2(e22,e20),h(e14))**.
% 0.40/0.58  2496[12:Rew:127.0,2453.0] ||  -> equal(h(e14),e22)**.
% 0.40/0.58  2540[12:Rew:127.0,2428.0,2496.0,2428.0,2451.0,2428.0] ||  -> equal(e23,e22)**.
% 0.40/0.58  2541[12:MRR:2540.0,25.0] ||  -> .
% 0.40/0.58  2542[12:Spt:2541.0,2371.0,2372.0] || equal(j(e21),e13)** -> .
% 0.40/0.58  2543[12:Spt:2541.0,2371.1,2371.2,2371.3] ||  -> equal(j(e21),e12)** equal(j(e21),e11) equal(j(e21),e10).
% 0.40/0.58  2544[13:Spt:2543.0] ||  -> equal(j(e21),e12)**.
% 0.40/0.58  2546[13:Rew:2544.0,68.0] ||  -> equal(h(e12),e21)**.
% 0.40/0.58  2551[13:Rew:2544.0,2025.0] ||  -> equal(op1(e11,e12),j(e24))**.
% 0.40/0.58  2576[13:Rew:2546.0,292.0] ||  -> equal(op2(e21,e21),h(e13))**.
% 0.40/0.58  2582[13:Rew:87.0,2551.0] ||  -> equal(j(e24),e14)**.
% 0.40/0.58  2583[13:Rew:2582.0,71.0] ||  -> equal(h(e14),e24)**.
% 0.40/0.58  2603[13:Rew:2583.0,283.0] ||  -> equal(op2(h(e13),h(e15)),e24)**.
% 0.40/0.58  2626[13:Rew:122.0,2576.0] ||  -> equal(h(e13),e20)**.
% 0.40/0.58  2629[13:Rew:2626.0,2009.0] ||  -> equal(op2(e20,e22),h(e15))**.
% 0.40/0.58  2670[13:Rew:117.0,2629.0] ||  -> equal(h(e15),e22)**.
% 0.40/0.58  2714[13:Rew:117.0,2603.0,2626.0,2603.0,2670.0,2603.0] ||  -> equal(e24,e22)**.
% 0.40/0.58  2715[13:MRR:2714.0,26.0] ||  -> .
% 0.40/0.58  2716[13:Spt:2715.0,2543.0,2544.0] || equal(j(e21),e12)** -> .
% 0.40/0.58  2717[13:Spt:2715.0,2543.1,2543.2] ||  -> equal(j(e21),e11)** equal(j(e21),e10).
% 0.40/0.58  2718[14:Spt:2717.0] ||  -> equal(j(e21),e11)**.
% 0.40/0.58  2727[14:Rew:2718.0,2019.0] ||  -> equal(op1(e11,e11),j(e23))**.
% 0.40/0.58  2741[14:Rew:86.0,2727.0] ||  -> equal(j(e23),e10)**.
% 0.40/0.58  2747[14:Rew:2741.0,2022.0] ||  -> equal(op1(e10,j(e25)),e11)**.
% 0.40/0.58  2769[14:Rew:941.0,2747.0] ||  -> equal(j(e25),e11)**.
% 0.40/0.58  2770[14:Rew:2769.0,72.0] ||  -> equal(h(e11),e25)**.
% 0.40/0.58  2774[14:Rew:1995.0,2770.0] ||  -> equal(e25,e22)**.
% 0.40/0.58  2775[14:MRR:2774.0,27.0] ||  -> .
% 0.40/0.58  2789[14:Spt:2775.0,2717.0,2718.0] || equal(j(e21),e11)** -> .
% 0.40/0.58  2790[14:Spt:2775.0,2717.1] ||  -> equal(j(e21),e10)**.
% 0.40/0.58  2801[14:Rew:85.0,2025.0,2790.0,2025.0] ||  -> equal(j(e24),e11)**.
% 0.40/0.58  2809[14:Rew:80.0,2019.0,2790.0,2019.0] ||  -> equal(j(e23),e11)**.
% 0.40/0.58  2850[14:Rew:86.0,249.0,2809.0,249.0,2801.0,249.0] ||  -> equal(e11,e10)**.
% 0.40/0.58  2851[14:MRR:2850.0,1.0] ||  -> .
% 0.40/0.58  2852[9:Spt:2851.0,1994.0,1995.0] || equal(h(e11),e22)** -> .
% 0.40/0.58  2853[9:Spt:2851.0,1994.1,1994.2] ||  -> equal(h(e11),e21)** equal(h(e11),e20).
% 0.40/0.58  2854[10:Spt:2853.0] ||  -> equal(h(e11),e21)**.
% 0.40/0.58  2857[10:Rew:2854.0,74.0] ||  -> equal(j(e21),e11)**.
% 0.40/0.58  2863[10:Rew:2854.0,274.0] ||  -> equal(op2(h(e15),h(e12)),e21)**.
% 0.40/0.58  2864[10:Rew:2854.0,275.0] ||  -> equal(op2(h(e15),e21),h(e13))**.
% 0.40/0.58  2870[10:Rew:2854.0,293.0] ||  -> equal(op2(h(e12),e21),h(e14))**.
% 0.40/0.58  2871[10:Rew:2854.0,295.0] ||  -> equal(op2(e21,h(e15)),h(e13))**.
% 0.40/0.58  2872[10:Rew:2854.0,296.0] ||  -> equal(op2(e21,h(e14)),h(e12))**.
% 0.40/0.58  2874[10:Rew:2854.0,298.0] ||  -> equal(op2(e21,h(e12)),h(e14))**.
% 0.40/0.58  2880[10:Rew:2857.0,259.0] ||  -> equal(op1(e11,j(e25)),j(e24))**.
% 0.40/0.58  2885[10:Rew:2857.0,245.0] ||  -> equal(op1(j(e24),e11),j(e22))**.
% 0.40/0.58  2887[10:Rew:2857.0,257.0] ||  -> equal(op1(j(e22),e11),j(e24))**.
% 0.40/0.58  2889[10:Rew:2857.0,261.0] ||  -> equal(op1(e11,j(e23)),j(e22))**.
% 0.40/0.58  2892[11:Spt:229.0] ||  -> equal(h(e15),e25)**.
% 0.40/0.58  2893[11:Rew:2892.0,78.0] ||  -> equal(j(e25),e15)**.
% 0.40/0.58  2904[11:Rew:2892.0,2864.0] ||  -> equal(op2(e25,e21),h(e13))**.
% 0.40/0.58  2920[11:Rew:2893.0,2880.0] ||  -> equal(op1(e11,e15),j(e24))**.
% 0.40/0.58  2943[11:Rew:146.0,2904.0] ||  -> equal(h(e13),e23)**.
% 0.40/0.58  2944[11:Rew:2943.0,76.0] ||  -> equal(j(e23),e13)**.
% 0.40/0.58  2955[11:Rew:2944.0,242.0] ||  -> equal(op1(j(e24),j(e24)),e13)**.
% 0.40/0.58  2967[11:Rew:90.0,2920.0] ||  -> equal(j(e24),e13)**.
% 0.40/0.58  3054[11:Rew:100.0,2955.0,2967.0,2955.0] ||  -> equal(e13,e12)**.
% 0.40/0.58  3055[11:MRR:3054.0,10.0] ||  -> .
% 0.40/0.58  3056[11:Spt:3055.0,229.0,2892.0] || equal(h(e15),e25)** -> .
% 0.40/0.58  3057[11:Spt:3055.0,229.1,229.2,229.3,229.4,229.5] ||  -> equal(h(e15),e24)** equal(h(e15),e23) equal(h(e15),e22) equal(h(e15),e21) equal(h(e15),e20).
% 0.40/0.58  3058[12:Spt:3057.0] ||  -> equal(h(e15),e24)**.
% 0.40/0.58  3059[12:Rew:3058.0,78.0] ||  -> equal(j(e24),e15)**.
% 0.40/0.58  3062[12:Rew:3058.0,2871.0] ||  -> equal(op2(e21,e24),h(e13))**.
% 0.40/0.58  3073[12:Rew:3058.0,271.0] ||  -> equal(op2(e24,e24),h(e12))**.
% 0.40/0.58  3084[12:Rew:3059.0,2885.0] ||  -> equal(op1(e15,e11),j(e22))**.
% 0.40/0.58  3092[12:Rew:125.0,3062.0] ||  -> equal(h(e13),e25)**.
% 0.40/0.58  3093[12:Rew:3092.0,76.0] ||  -> equal(j(e25),e13)**.
% 0.40/0.58  3113[12:Rew:3093.0,255.0] ||  -> equal(op1(j(e22),j(e23)),e13)**.
% 0.40/0.58  3120[12:Rew:143.0,3073.0] ||  -> equal(h(e12),e23)**.
% 0.40/0.58  3121[12:Rew:3120.0,75.0] ||  -> equal(j(e23),e12)**.
% 0.40/0.58  3148[12:Rew:110.0,3084.0] ||  -> equal(j(e22),e13)**.
% 0.40/0.58  3225[12:Rew:99.0,3113.0,3148.0,3113.0,3121.0,3113.0] ||  -> equal(e13,e10)**.
% 0.40/0.58  3226[12:MRR:3225.0,3.0] ||  -> .
% 0.40/0.58  3227[12:Spt:3226.0,3057.0,3058.0] || equal(h(e15),e24)** -> .
% 0.40/0.58  3228[12:Spt:3226.0,3057.1,3057.2,3057.3,3057.4] ||  -> equal(h(e15),e23)** equal(h(e15),e22) equal(h(e15),e21) equal(h(e15),e20).
% 0.40/0.58  3229[13:Spt:3228.0] ||  -> equal(h(e15),e23)**.
% 0.40/0.58  3231[13:Rew:3229.0,78.0] ||  -> equal(j(e23),e15)**.
% 0.40/0.58  3238[13:Rew:3229.0,2864.0] ||  -> equal(op2(e23,e21),h(e13))**.
% 0.40/0.58  3245[13:Rew:3229.0,271.0] ||  -> equal(op2(e23,e23),h(e12))**.
% 0.40/0.58  3257[13:Rew:3231.0,2889.0] ||  -> equal(op1(e11,e15),j(e22))**.
% 0.40/0.58  3264[13:Rew:134.0,3238.0] ||  -> equal(h(e13),e25)**.
% 0.40/0.58  3265[13:Rew:3264.0,76.0] ||  -> equal(j(e25),e13)**.
% 0.40/0.58  3284[13:Rew:3265.0,236.0] ||  -> equal(op1(e13,j(e24)),j(e22))**.
% 0.40/0.58  3292[13:Rew:136.0,3245.0] ||  -> equal(h(e12),e24)**.
% 0.40/0.58  3293[13:Rew:3292.0,75.0] ||  -> equal(j(e24),e12)**.
% 0.40/0.58  3320[13:Rew:90.0,3257.0] ||  -> equal(j(e22),e13)**.
% 0.40/0.58  3397[13:Rew:99.0,3284.0,3293.0,3284.0,3320.0,3284.0] ||  -> equal(e13,e10)**.
% 0.40/0.58  3398[13:MRR:3397.0,3.0] ||  -> .
% 0.40/0.58  3399[13:Spt:3398.0,3228.0,3229.0] || equal(h(e15),e23)** -> .
% 0.40/0.58  3400[13:Spt:3398.0,3228.1,3228.2,3228.3] ||  -> equal(h(e15),e22)** equal(h(e15),e21) equal(h(e15),e20).
% 0.40/0.58  3401[14:Spt:3400.0] ||  -> equal(h(e15),e22)**.
% 0.40/0.58  3403[14:Rew:3401.0,78.0] ||  -> equal(j(e22),e15)**.
% 0.40/0.58  3407[14:Rew:3401.0,2871.0] ||  -> equal(op2(e21,e22),h(e13))**.
% 0.40/0.58  3425[14:Rew:3403.0,2887.0] ||  -> equal(op1(e15,e11),j(e24))**.
% 0.40/0.58  3439[14:Rew:123.0,3407.0] ||  -> equal(h(e13),e23)**.
% 0.40/0.58  3440[14:Rew:3439.0,76.0] ||  -> equal(j(e23),e13)**.
% 0.40/0.58  3460[14:Rew:3440.0,242.0] ||  -> equal(op1(j(e24),j(e24)),e13)**.
% 0.40/0.58  3485[14:Rew:110.0,3425.0] ||  -> equal(j(e24),e13)**.
% 0.40/0.58  3570[14:Rew:100.0,3460.0,3485.0,3460.0] ||  -> equal(e13,e12)**.
% 0.40/0.58  3571[14:MRR:3570.0,10.0] ||  -> .
% 0.40/0.58  3572[14:Spt:3571.0,3400.0,3401.0] || equal(h(e15),e22)** -> .
% 0.40/0.58  3573[14:Spt:3571.0,3400.1,3400.2] ||  -> equal(h(e15),e21)** equal(h(e15),e20).
% 0.40/0.58  3574[15:Spt:3573.0] ||  -> equal(h(e15),e21)**.
% 0.40/0.58  3580[15:Rew:3574.0,931.0] ||  -> equal(op2(e21,h(e14)),e20)**.
% 0.40/0.58  3597[15:Rew:2872.0,3580.0] ||  -> equal(h(e12),e20)**.
% 0.40/0.58  3604[15:Rew:3597.0,2870.0] ||  -> equal(op2(e20,e21),h(e14))**.
% 0.40/0.58  3628[15:Rew:116.0,3604.0] ||  -> equal(h(e14),e21)**.
% 0.42/0.59  3629[15:Rew:3628.0,77.0] ||  -> equal(j(e21),e14)**.
% 0.42/0.59  3633[15:Rew:2857.0,3629.0] ||  -> equal(e14,e11)**.
% 0.42/0.59  3634[15:MRR:3633.0,8.0] ||  -> .
% 0.42/0.59  3646[15:Spt:3634.0,3573.0,3574.0] || equal(h(e15),e21)** -> .
% 0.42/0.59  3647[15:Spt:3634.0,3573.1] ||  -> equal(h(e15),e20)**.
% 0.42/0.59  3656[15:Rew:121.0,2871.0,3647.0,2871.0] ||  -> equal(h(e13),e21)**.
% 0.42/0.59  3664[15:Rew:3647.0,2863.0] ||  -> equal(op2(e20,h(e12)),e21)**.
% 0.42/0.59  3669[15:Rew:3664.0,918.0] ||  -> equal(h(e12),e21)**.
% 0.42/0.59  3673[15:Rew:3669.0,2874.0] ||  -> equal(op2(e21,e21),h(e14))**.
% 0.42/0.59  3679[15:Rew:122.0,3673.0] ||  -> equal(h(e14),e20)**.
% 0.42/0.59  3711[15:Rew:115.0,278.0,3679.0,278.0,3656.0,278.0] ||  -> equal(e21,e20)**.
% 0.42/0.59  3712[15:MRR:3711.0,16.0] ||  -> .
% 0.42/0.59  3713[10:Spt:3712.0,2853.0,2854.0] || equal(h(e11),e21)** -> .
% 0.42/0.59  3714[10:Spt:3712.0,2853.1] ||  -> equal(h(e11),e20)**.
% 0.42/0.59  3738[10:Rew:919.0,297.0,3714.0,297.0] ||  -> equal(h(e15),h(e13))**.
% 0.42/0.59  3739[10:Rew:3738.0,78.0] ||  -> equal(j(h(e13)),e15)**.
% 0.42/0.59  3745[10:Rew:76.0,3739.0] ||  -> equal(e15,e13)**.
% 0.42/0.59  3746[10:MRR:3745.0,14.0] ||  -> .
% 0.42/0.59  % SZS output end Refutation
% 0.42/0.59  Formulae used in the proof : ax1 ax2 co1 ax4 ax5
% 0.42/0.59  
%------------------------------------------------------------------------------