%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : LCL492+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n019.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 : Sun Jul 17 14:37:21 EDT 2022

% Result   : Theorem 283.41s 283.60s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL492+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n019.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 : Sat Jul  2 20:44:23 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 283.41/283.60  
% 283.41/283.60  SPASS V 3.9 
% 283.41/283.60  SPASS beiseite: Proof found.
% 283.41/283.60  % SZS status Theorem
% 283.41/283.60  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 283.41/283.60  SPASS derived 106278 clauses, backtracked 0 clauses, performed 0 splits and kept 23831 clauses.
% 283.41/283.60  SPASS allocated 291577 KBytes.
% 283.41/283.60  SPASS spent	0:4:43.02 on the problem.
% 283.41/283.60  		0:00:00.04 for the input.
% 283.41/283.60  		0:00:00.04 for the FLOTTER CNF translation.
% 283.41/283.60  		0:00:00.80 for inferences.
% 283.41/283.60  		0:00:00.00 for the backtracking.
% 283.41/283.60  		0:4:41.78 for the reduction.
% 283.41/283.60  
% 283.41/283.60  
% 283.41/283.60  Here is a proof with depth 23, length 402 :
% 283.41/283.60  % SZS output start Refutation
% 283.41/283.60  1[0:Inp] ||  -> op_or*.
% 283.41/283.60  2[0:Inp] ||  -> op_implies_and*.
% 283.41/283.60  4[0:Inp] ||  -> op_implies_or*.
% 283.41/283.60  5[0:Inp] ||  -> op_and*.
% 283.41/283.60  6[0:Inp] ||  -> op_equiv*.
% 283.41/283.60  7[0:Inp] ||  -> modus_ponens*.
% 283.41/283.60  8[0:Inp] ||  -> r1*.
% 283.41/283.60  9[0:Inp] ||  -> r2*.
% 283.41/283.60  10[0:Inp] ||  -> r3*.
% 283.41/283.60  11[0:Inp] ||  -> r4*.
% 283.41/283.60  12[0:Inp] ||  -> r5*.
% 283.41/283.60  13[0:Inp] ||  -> substitution_of_equivalents*.
% 283.41/283.60  14[0:Inp] || or_3* -> .
% 283.41/283.60  15[0:Inp] ||  -> is_a_theorem(skc56)*.
% 283.41/283.60  16[0:Inp] ||  -> is_a_theorem(implies__dfg(skc56,skc55))*.
% 283.41/283.60  30[0:Inp] || kn1 -> is_a_theorem(implies__dfg(u,and__dfg(u,u)))*.
% 283.41/283.60  31[0:Inp] || is_a_theorem(implies__dfg(skc87,and__dfg(skc87,skc87)))* -> kn1.
% 283.41/283.60  34[0:Inp] || r1 -> is_a_theorem(implies__dfg(or__dfg(u,u),u))*.
% 283.41/283.60  36[0:Inp] || r2 -> is_a_theorem(implies__dfg(u,or__dfg(v,u)))*.
% 283.41/283.60  42[0:Inp] || substitution_of_equivalents is_a_theorem(equiv__dfg(u,v))* -> equal(u,v).
% 283.41/283.60  43[0:Inp] || and_3 -> is_a_theorem(implies__dfg(u,implies__dfg(v,and__dfg(u,v))))*.
% 283.41/283.60  44[0:Inp] || is_a_theorem(implies__dfg(skc73,implies__dfg(skc72,and__dfg(skc73,skc72))))* -> and_3.
% 283.41/283.60  49[0:Inp] || r3 -> is_a_theorem(implies__dfg(or__dfg(u,v),or__dfg(v,u)))*.
% 283.41/283.60  51[0:Inp] || op_implies_or -> equal(or__dfg(not__dfg(u),v),implies__dfg(u,v))**.
% 283.41/283.60  52[0:Inp] || op_implies_and -> equal(not__dfg(and__dfg(u,not__dfg(v))),implies__dfg(u,v))**.
% 283.41/283.60  53[0:Inp] is_a_theorem(u) || modus_ponens is_a_theorem(implies__dfg(u,v))* -> is_a_theorem(v).
% 283.41/283.60  56[0:Inp] || implies_2 -> is_a_theorem(implies__dfg(implies__dfg(u,implies__dfg(u,v)),implies__dfg(u,v)))*.
% 283.41/283.60  57[0:Inp] || is_a_theorem(implies__dfg(implies__dfg(skc64,implies__dfg(skc64,skc63)),implies__dfg(skc64,skc63)))* -> implies_2.
% 283.41/283.60  58[0:Inp] || op_or -> equal(not__dfg(and__dfg(not__dfg(u),not__dfg(v))),or__dfg(u,v))**.
% 283.41/283.60  59[0:Inp] || op_and -> equal(not__dfg(or__dfg(not__dfg(u),not__dfg(v))),and__dfg(u,v))**.
% 283.41/283.60  60[0:Inp] || op_equiv -> equal(and__dfg(implies__dfg(u,v),implies__dfg(v,u)),equiv__dfg(u,v))**.
% 283.41/283.60  63[0:Inp] || equivalence_3 -> is_a_theorem(implies__dfg(implies__dfg(u,v),implies__dfg(implies__dfg(v,u),equiv__dfg(u,v))))*.
% 283.41/283.60  64[0:Inp] || is_a_theorem(implies__dfg(implies__dfg(skc86,skc85),implies__dfg(implies__dfg(skc85,skc86),equiv__dfg(skc86,skc85))))* -> equivalence_3.
% 283.41/283.60  67[0:Inp] || r4 -> is_a_theorem(implies__dfg(or__dfg(u,or__dfg(v,w)),or__dfg(v,or__dfg(u,w))))*.
% 283.41/283.60  69[0:Inp] || r5 -> is_a_theorem(implies__dfg(implies__dfg(u,v),implies__dfg(or__dfg(w,u),or__dfg(w,v))))*.
% 283.41/283.60  72[0:Inp] || is_a_theorem(implies__dfg(implies__dfg(skc80,skc78),implies__dfg(implies__dfg(skc79,skc78),implies__dfg(or__dfg(skc80,skc79),skc78))))* -> or_3.
% 283.41/283.60  75[0:MRR:36.0,9.0] ||  -> is_a_theorem(implies__dfg(u,or__dfg(v,u)))*.
% 283.41/283.60  76[0:MRR:34.0,8.0] ||  -> is_a_theorem(implies__dfg(or__dfg(u,u),u))*.
% 283.41/283.60  78[0:MRR:51.0,4.0] ||  -> equal(or__dfg(not__dfg(u),v),implies__dfg(u,v))**.
% 283.41/283.60  79[0:MRR:49.0,10.0] ||  -> is_a_theorem(implies__dfg(or__dfg(u,v),or__dfg(v,u)))*.
% 283.41/283.60  80[0:MRR:42.0,13.0] || is_a_theorem(equiv__dfg(u,v))* -> equal(u,v).
% 283.41/283.60  81[0:MRR:52.0,2.0] ||  -> equal(not__dfg(and__dfg(u,not__dfg(v))),implies__dfg(u,v))**.
% 283.41/283.60  82[0:Rew:78.0,59.1] || op_and -> equal(not__dfg(implies__dfg(u,not__dfg(v))),and__dfg(u,v))**.
% 283.41/283.60  83[0:MRR:82.0,5.0] ||  -> equal(not__dfg(implies__dfg(u,not__dfg(v))),and__dfg(u,v))**.
% 283.41/283.60  84[0:Rew:81.0,58.1] || op_or -> equal(implies__dfg(not__dfg(u),v),or__dfg(u,v))**.
% 283.41/283.60  85[0:MRR:84.0,1.0] ||  -> equal(implies__dfg(not__dfg(u),v),or__dfg(u,v))**.
% 283.41/283.60  93[0:MRR:53.1,7.0] is_a_theorem(u) || is_a_theorem(implies__dfg(u,v))* -> is_a_theorem(v).
% 283.41/283.60  94[0:MRR:60.0,6.0] ||  -> equal(and__dfg(implies__dfg(u,v),implies__dfg(v,u)),equiv__dfg(u,v))**.
% 283.41/283.60  95[0:MRR:69.0,12.0] ||  -> is_a_theorem(implies__dfg(implies__dfg(u,v),implies__dfg(or__dfg(w,u),or__dfg(w,v))))*.
% 283.41/283.60  96[0:MRR:67.0,11.0] ||  -> is_a_theorem(implies__dfg(or__dfg(u,or__dfg(v,w)),or__dfg(v,or__dfg(u,w))))*.
% 283.41/283.60  99[0:MRR:72.1,14.0] || is_a_theorem(implies__dfg(implies__dfg(skc80,skc78),implies__dfg(implies__dfg(skc79,skc78),implies__dfg(or__dfg(skc80,skc79),skc78))))* -> .
% 283.41/283.60  114[0:SpR:78.0,76.0] ||  -> is_a_theorem(implies__dfg(implies__dfg(u,not__dfg(u)),not__dfg(u)))*.
% 283.41/283.60  115[0:SpR:78.0,75.0] ||  -> is_a_theorem(implies__dfg(u,implies__dfg(v,u)))*.
% 283.41/283.60  122[0:SpR:85.0,75.0] ||  -> is_a_theorem(or__dfg(u,or__dfg(v,not__dfg(u))))*.
% 283.41/283.60  130[0:SpR:85.0,115.0] ||  -> is_a_theorem(or__dfg(u,implies__dfg(v,not__dfg(u))))*.
% 283.41/283.60  136[0:SpR:78.0,79.0] ||  -> is_a_theorem(implies__dfg(or__dfg(u,not__dfg(v)),implies__dfg(v,u)))*.
% 283.41/283.60  137[0:SpR:78.0,79.0] ||  -> is_a_theorem(implies__dfg(implies__dfg(u,v),or__dfg(v,not__dfg(u))))*.
% 283.41/283.60  155[0:SpR:81.0,78.0] ||  -> equal(implies__dfg(and__dfg(u,not__dfg(v)),w),or__dfg(implies__dfg(u,v),w))**.
% 283.41/283.60  156[0:SpR:81.0,85.0] ||  -> equal(or__dfg(and__dfg(u,not__dfg(v)),w),implies__dfg(implies__dfg(u,v),w))**.
% 283.41/283.60  164[0:SpR:81.0,81.0] ||  -> equal(not__dfg(and__dfg(u,implies__dfg(v,w))),implies__dfg(u,and__dfg(v,not__dfg(w))))**.
% 283.41/283.60  173[0:SpR:83.0,78.0] ||  -> equal(implies__dfg(implies__dfg(u,not__dfg(v)),w),or__dfg(and__dfg(u,v),w))**.
% 283.41/283.60  174[0:SpR:83.0,85.0] ||  -> equal(or__dfg(implies__dfg(u,not__dfg(v)),w),implies__dfg(and__dfg(u,v),w))**.
% 283.41/283.60  183[0:SpR:83.0,83.0] ||  -> equal(not__dfg(implies__dfg(u,and__dfg(v,w))),and__dfg(u,implies__dfg(v,not__dfg(w))))**.
% 283.41/283.60  185[0:SpR:81.0,83.0] ||  -> equal(not__dfg(implies__dfg(u,implies__dfg(v,w))),and__dfg(u,and__dfg(v,not__dfg(w))))**.
% 283.41/283.60  186[0:SpR:85.0,83.0] ||  -> equal(not__dfg(or__dfg(u,not__dfg(v))),and__dfg(not__dfg(u),v))**.
% 283.41/283.60  187[0:Rew:173.0,114.0] ||  -> is_a_theorem(or__dfg(and__dfg(u,u),not__dfg(u)))*.
% 283.41/283.60  200[0:SpR:78.0,136.0] ||  -> is_a_theorem(implies__dfg(implies__dfg(u,not__dfg(v)),implies__dfg(v,not__dfg(u))))*.
% 283.41/283.60  201[0:Rew:173.0,200.0] ||  -> is_a_theorem(or__dfg(and__dfg(u,v),implies__dfg(v,not__dfg(u))))*.
% 283.41/283.60  252[0:SpR:85.0,43.1] || and_3 -> is_a_theorem(implies__dfg(u,or__dfg(v,and__dfg(u,not__dfg(v)))))*.
% 283.41/283.60  255[0:SpL:85.0,93.1] is_a_theorem(not__dfg(u)) || is_a_theorem(or__dfg(u,v))* -> is_a_theorem(v).
% 283.41/283.60  256[0:Res:16.0,93.1] is_a_theorem(skc56) ||  -> is_a_theorem(skc55)*.
% 283.41/283.60  259[0:Res:75.0,93.1] is_a_theorem(u) ||  -> is_a_theorem(or__dfg(v,u))*.
% 283.41/283.60  263[0:Res:79.0,93.1] is_a_theorem(or__dfg(u,v)) ||  -> is_a_theorem(or__dfg(v,u))*.
% 283.41/283.60  264[0:Res:137.0,93.1] is_a_theorem(implies__dfg(u,v)) ||  -> is_a_theorem(or__dfg(v,not__dfg(u)))*.
% 283.41/283.60  270[0:Res:115.0,93.1] is_a_theorem(u) ||  -> is_a_theorem(implies__dfg(v,u))*.
% 283.41/283.60  274[0:Res:136.0,93.1] is_a_theorem(or__dfg(u,not__dfg(v))) ||  -> is_a_theorem(implies__dfg(v,u))*.
% 283.41/283.60  277[0:SSi:256.0,15.0] ||  -> is_a_theorem(skc55)*.
% 283.41/283.60  280[0:SpR:94.0,30.1] || kn1 -> is_a_theorem(implies__dfg(implies__dfg(u,u),equiv__dfg(u,u)))*.
% 283.41/283.60  287[0:SpR:94.0,43.1] || and_3 -> is_a_theorem(implies__dfg(implies__dfg(u,v),implies__dfg(implies__dfg(v,u),equiv__dfg(u,v))))*.
% 283.41/283.60  289[0:SpR:85.0,94.0] ||  -> equal(and__dfg(implies__dfg(u,not__dfg(v)),or__dfg(v,u)),equiv__dfg(u,not__dfg(v)))**.
% 283.41/283.60  290[0:SpR:85.0,94.0] ||  -> equal(and__dfg(or__dfg(u,v),implies__dfg(v,not__dfg(u))),equiv__dfg(not__dfg(u),v))**.
% 283.41/283.60  305[0:SpR:85.0,56.1] || implies_2 -> is_a_theorem(implies__dfg(implies__dfg(not__dfg(u),or__dfg(u,v)),or__dfg(u,v)))*.
% 283.41/283.60  310[0:Rew:85.0,305.1] || implies_2 -> is_a_theorem(implies__dfg(or__dfg(u,or__dfg(u,v)),or__dfg(u,v)))*.
% 283.41/283.60  315[0:SpR:78.0,96.0] ||  -> is_a_theorem(implies__dfg(or__dfg(not__dfg(u),or__dfg(v,w)),or__dfg(v,implies__dfg(u,w))))*.
% 283.41/283.60  316[0:SpR:78.0,96.0] ||  -> is_a_theorem(implies__dfg(or__dfg(u,or__dfg(not__dfg(v),w)),implies__dfg(v,or__dfg(u,w))))*.
% 283.41/283.60  319[0:Res:96.0,93.1] is_a_theorem(or__dfg(u,or__dfg(v,w))) ||  -> is_a_theorem(or__dfg(v,or__dfg(u,w)))*.
% 283.41/283.60  320[0:Rew:78.0,315.0] ||  -> is_a_theorem(implies__dfg(implies__dfg(u,or__dfg(v,w)),or__dfg(v,implies__dfg(u,w))))*.
% 283.41/283.60  321[0:Rew:78.0,316.0] ||  -> is_a_theorem(implies__dfg(or__dfg(u,implies__dfg(v,w)),implies__dfg(v,or__dfg(u,w))))*.
% 283.41/283.60  328[0:SpR:85.0,95.0] ||  -> is_a_theorem(implies__dfg(or__dfg(u,v),implies__dfg(or__dfg(w,not__dfg(u)),or__dfg(w,v))))*.
% 283.41/283.60  329[0:Res:95.0,93.1] is_a_theorem(implies__dfg(u,v)) ||  -> is_a_theorem(implies__dfg(or__dfg(w,u),or__dfg(w,v)))*.
% 283.41/283.60  360[0:SoR:263.0,201.0] ||  -> is_a_theorem(or__dfg(implies__dfg(u,not__dfg(v)),and__dfg(v,u)))*.
% 283.41/283.60  362[0:SoR:263.0,187.0] ||  -> is_a_theorem(or__dfg(not__dfg(u),and__dfg(u,u)))*.
% 283.41/283.60  369[0:SoR:263.0,130.0] ||  -> is_a_theorem(or__dfg(implies__dfg(u,not__dfg(v)),v))*.
% 283.41/283.60  372[0:Rew:78.0,362.0] ||  -> is_a_theorem(implies__dfg(u,and__dfg(u,u)))*.
% 283.41/283.60  373[0:MRR:31.0,372.0] ||  -> kn1*.
% 283.41/283.60  377[0:MRR:280.0,373.0] ||  -> is_a_theorem(implies__dfg(implies__dfg(u,u),equiv__dfg(u,u)))*.
% 283.41/283.60  379[0:Rew:174.0,369.0] ||  -> is_a_theorem(implies__dfg(and__dfg(u,v),v))*.
% 283.41/283.60  387[0:Rew:174.0,360.0] ||  -> is_a_theorem(implies__dfg(and__dfg(u,v),and__dfg(v,u)))*.
% 283.41/283.60  414[0:Res:63.1,93.1] is_a_theorem(implies__dfg(u,v)) || equivalence_3 -> is_a_theorem(implies__dfg(implies__dfg(v,u),equiv__dfg(u,v)))*.
% 283.41/283.60  529[0:SpR:186.0,85.0] ||  -> equal(or__dfg(or__dfg(u,not__dfg(v)),w),implies__dfg(and__dfg(not__dfg(u),v),w))**.
% 283.41/283.60  551[0:SpR:186.0,136.0] ||  -> is_a_theorem(implies__dfg(or__dfg(u,and__dfg(not__dfg(v),w)),implies__dfg(or__dfg(v,not__dfg(w)),u)))*.
% 283.41/283.60  557[0:SpR:81.0,186.0] ||  -> equal(and__dfg(not__dfg(u),and__dfg(v,not__dfg(w))),not__dfg(or__dfg(u,implies__dfg(v,w))))**.
% 283.41/283.60  559[0:SpR:78.0,186.0] ||  -> equal(not__dfg(implies__dfg(u,not__dfg(v))),and__dfg(not__dfg(not__dfg(u)),v))**.
% 283.41/283.60  560[0:Rew:83.0,559.0] ||  -> equal(and__dfg(not__dfg(not__dfg(u)),v),and__dfg(u,v))**.
% 283.41/283.60  1061[0:SpR:156.0,79.0] ||  -> is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),w),or__dfg(w,and__dfg(u,not__dfg(v)))))*.
% 283.41/283.60  1079[0:SpR:156.0,187.0] ||  -> is_a_theorem(implies__dfg(implies__dfg(not__dfg(u),u),not__dfg(not__dfg(u))))*.
% 283.41/283.60  1114[0:Rew:85.0,1079.0] ||  -> is_a_theorem(implies__dfg(or__dfg(u,u),not__dfg(not__dfg(u))))*.
% 283.41/283.60  1178[0:Res:1114.0,93.1] is_a_theorem(or__dfg(u,u)) ||  -> is_a_theorem(not__dfg(not__dfg(u)))*.
% 283.41/283.60  1544[0:SpR:78.0,320.0] ||  -> is_a_theorem(implies__dfg(implies__dfg(u,or__dfg(not__dfg(v),w)),implies__dfg(v,implies__dfg(u,w))))*.
% 283.41/283.60  1553[0:Res:320.0,93.1] is_a_theorem(implies__dfg(u,or__dfg(v,w))) ||  -> is_a_theorem(or__dfg(v,implies__dfg(u,w)))*.
% 283.41/283.60  1555[0:Rew:78.0,1544.0] ||  -> is_a_theorem(implies__dfg(implies__dfg(u,implies__dfg(v,w)),implies__dfg(v,implies__dfg(u,w))))*.
% 283.41/283.60  1603[0:Res:321.0,93.1] is_a_theorem(or__dfg(u,implies__dfg(v,w))) ||  -> is_a_theorem(implies__dfg(v,or__dfg(u,w)))*.
% 283.41/283.60  1814[0:SpR:94.0,164.0] ||  -> equal(implies__dfg(implies__dfg(u,v),and__dfg(v,not__dfg(u))),not__dfg(equiv__dfg(u,v)))**.
% 283.41/283.60  2461[0:SpR:155.0,185.0] ||  -> equal(and__dfg(and__dfg(u,not__dfg(v)),and__dfg(w,not__dfg(x))),not__dfg(or__dfg(implies__dfg(u,v),implies__dfg(w,x))))**.
% 283.41/283.60  2733[0:SpR:290.0,164.0] ||  -> equal(implies__dfg(or__dfg(u,v),and__dfg(v,not__dfg(not__dfg(u)))),not__dfg(equiv__dfg(not__dfg(u),v)))**.
% 283.41/283.60  2752[0:SpR:78.0,290.0] ||  -> equal(and__dfg(implies__dfg(u,v),implies__dfg(v,not__dfg(not__dfg(u)))),equiv__dfg(not__dfg(not__dfg(u)),v))**.
% 283.41/283.60  2821[0:SoR:319.0,259.1] is_a_theorem(or__dfg(u,v)) ||  -> is_a_theorem(or__dfg(u,or__dfg(w,v)))*.
% 283.41/283.60  2824[0:SoR:319.0,122.0] ||  -> is_a_theorem(or__dfg(u,or__dfg(v,not__dfg(v))))*.
% 283.41/283.60  2828[0:SoR:263.0,2824.0] ||  -> is_a_theorem(or__dfg(or__dfg(u,not__dfg(u)),v))*.
% 283.41/283.60  2843[0:Rew:529.0,2828.0] ||  -> is_a_theorem(implies__dfg(and__dfg(not__dfg(u),u),v))*.
% 283.41/283.60  2989[0:SpR:560.0,2843.0] ||  -> is_a_theorem(implies__dfg(and__dfg(u,not__dfg(u)),v))*.
% 283.41/283.60  2992[0:Rew:155.0,2989.0] ||  -> is_a_theorem(or__dfg(implies__dfg(u,u),v))*.
% 283.41/283.60  3001[0:SoR:329.0,377.0] ||  -> is_a_theorem(implies__dfg(or__dfg(u,implies__dfg(v,v)),or__dfg(u,equiv__dfg(v,v))))*.
% 283.41/283.60  3010[0:SoR:329.0,252.1] || and_3 -> is_a_theorem(implies__dfg(or__dfg(u,v),or__dfg(u,or__dfg(w,and__dfg(v,not__dfg(w))))))*.
% 283.41/283.60  3045[0:SoR:329.0,379.0] ||  -> is_a_theorem(implies__dfg(or__dfg(u,and__dfg(v,w)),or__dfg(u,w)))*.
% 283.41/283.60  3072[0:SoR:329.0,16.0] ||  -> is_a_theorem(implies__dfg(or__dfg(u,skc56),or__dfg(u,skc55)))*.
% 283.41/283.60  3074[0:SoR:1178.0,2992.0] ||  -> is_a_theorem(not__dfg(not__dfg(implies__dfg(u,u))))*.
% 283.41/283.60  3076[0:SoR:263.0,2992.0] ||  -> is_a_theorem(or__dfg(u,implies__dfg(v,v)))*.
% 283.41/283.60  3077[0:SoR:274.0,2992.0] ||  -> is_a_theorem(implies__dfg(u,implies__dfg(v,v)))*.
% 283.41/283.60  3083[0:SoR:255.0,3074.0] || is_a_theorem(or__dfg(not__dfg(implies__dfg(u,u)),v))* -> is_a_theorem(v).
% 283.41/283.60  3093[0:Rew:78.0,3083.0] || is_a_theorem(implies__dfg(implies__dfg(u,u),v))* -> is_a_theorem(v).
% 283.41/283.60  3126[0:Res:287.1,64.0] || and_3 -> equivalence_3*.
% 283.41/283.60  3188[0:Res:3072.0,93.1] is_a_theorem(or__dfg(u,skc56)) ||  -> is_a_theorem(or__dfg(u,skc55))*.
% 283.41/283.60  3191[0:SSi:3188.0,259.0,15.1] ||  -> is_a_theorem(or__dfg(u,skc55))*.
% 283.41/283.60  3215[0:SoR:1178.0,3191.0] ||  -> is_a_theorem(not__dfg(not__dfg(skc55)))*.
% 283.41/283.60  3217[0:SoR:263.0,3191.0] ||  -> is_a_theorem(or__dfg(skc55,u))*.
% 283.41/283.60  3221[0:SoR:255.0,3215.0] || is_a_theorem(or__dfg(not__dfg(skc55),u))* -> is_a_theorem(u).
% 283.41/283.60  3224[0:Rew:78.0,3221.0] || is_a_theorem(implies__dfg(skc55,u))* -> is_a_theorem(u).
% 283.41/283.60  3225[0:SoR:319.0,3217.0] ||  -> is_a_theorem(or__dfg(u,or__dfg(skc55,v)))*.
% 283.41/283.60  3259[0:SoR:1178.0,3225.0] ||  -> is_a_theorem(not__dfg(not__dfg(or__dfg(skc55,u))))*.
% 283.41/283.60  3262[0:SpR:78.0,3225.0] ||  -> is_a_theorem(implies__dfg(u,or__dfg(skc55,v)))*.
% 283.41/283.60  3265[0:SoR:255.0,3259.0] || is_a_theorem(or__dfg(not__dfg(or__dfg(skc55,u)),v))* -> is_a_theorem(v).
% 283.41/283.60  3269[0:Rew:78.0,3265.0] || is_a_theorem(implies__dfg(or__dfg(skc55,u),v))* -> is_a_theorem(v).
% 283.41/283.60  3477[0:SoR:414.0,328.0] || equivalence_3 -> is_a_theorem(implies__dfg(implies__dfg(implies__dfg(or__dfg(u,not__dfg(v)),or__dfg(u,w)),or__dfg(v,w)),equiv__dfg(or__dfg(v,w),implies__dfg(or__dfg(u,not__dfg(v)),or__dfg(u,w)))))*.
% 283.41/283.60  3492[0:SoR:414.0,321.0] || equivalence_3 -> is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,or__dfg(v,w)),or__dfg(v,implies__dfg(u,w))),equiv__dfg(or__dfg(v,implies__dfg(u,w)),implies__dfg(u,or__dfg(v,w)))))*.
% 283.41/283.60  3493[0:SoR:414.0,136.0] || equivalence_3 -> is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),or__dfg(v,not__dfg(u))),equiv__dfg(or__dfg(v,not__dfg(u)),implies__dfg(u,v))))*.
% 283.41/283.60  3515[0:SoR:414.0,310.1] || equivalence_3 implies_2 -> is_a_theorem(implies__dfg(implies__dfg(or__dfg(u,v),or__dfg(u,or__dfg(u,v))),equiv__dfg(or__dfg(u,or__dfg(u,v)),or__dfg(u,v))))*.
% 283.41/283.60  3524[0:SoR:414.0,96.0] || equivalence_3 -> is_a_theorem(implies__dfg(implies__dfg(or__dfg(u,or__dfg(v,w)),or__dfg(v,or__dfg(u,w))),equiv__dfg(or__dfg(v,or__dfg(u,w)),or__dfg(u,or__dfg(v,w)))))*.
% 283.41/283.60  4766[0:Res:328.0,3269.0] ||  -> is_a_theorem(implies__dfg(or__dfg(u,not__dfg(skc55)),or__dfg(u,v)))*.
% 283.41/283.60  5091[0:SpR:78.0,4766.0] ||  -> is_a_theorem(implies__dfg(or__dfg(not__dfg(u),not__dfg(skc55)),implies__dfg(u,v)))*.
% 283.41/283.60  5100[0:Rew:173.0,5091.0,78.0,5091.0] ||  -> is_a_theorem(or__dfg(and__dfg(u,skc55),implies__dfg(u,v)))*.
% 283.41/283.60  5769[0:SoR:2821.0,5100.0] ||  -> is_a_theorem(or__dfg(and__dfg(u,skc55),or__dfg(v,implies__dfg(u,w))))*.
% 283.41/283.60  5778[0:SoR:2821.0,3191.0] ||  -> is_a_theorem(or__dfg(u,or__dfg(v,skc55)))*.
% 283.41/283.60  5801[0:SoR:1178.0,5778.0] ||  -> is_a_theorem(not__dfg(not__dfg(or__dfg(u,skc55))))*.
% 283.41/283.60  5805[0:SpR:78.0,5778.0] ||  -> is_a_theorem(or__dfg(u,implies__dfg(v,skc55)))*.
% 283.41/283.60  5814[0:SpR:78.0,5801.0] ||  -> is_a_theorem(not__dfg(not__dfg(implies__dfg(u,skc55))))*.
% 283.41/283.60  5831[0:SoR:255.0,5814.0] || is_a_theorem(or__dfg(not__dfg(implies__dfg(u,skc55)),v))* -> is_a_theorem(v).
% 283.41/283.60  5837[0:Rew:78.0,5831.0] || is_a_theorem(implies__dfg(implies__dfg(u,skc55),v))* -> is_a_theorem(v).
% 283.41/283.60  5913[0:SpR:78.0,5805.0] ||  -> is_a_theorem(implies__dfg(u,implies__dfg(v,skc55)))*.
% 283.41/283.60  7234[0:Res:3001.0,93.1] is_a_theorem(or__dfg(u,implies__dfg(v,v))) ||  -> is_a_theorem(or__dfg(u,equiv__dfg(v,v)))*.
% 283.41/283.60  7237[0:SSi:7234.0,3076.0] ||  -> is_a_theorem(or__dfg(u,equiv__dfg(v,v)))*.
% 283.41/283.60  7242[0:SoR:1178.0,7237.0] ||  -> is_a_theorem(not__dfg(not__dfg(equiv__dfg(u,u))))*.
% 283.41/283.60  9208[0:Res:1555.0,3093.0] ||  -> is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(u,v),v)))*.
% 283.41/283.60  9464[0:Res:9208.0,3224.0] ||  -> is_a_theorem(implies__dfg(implies__dfg(skc55,u),u))*.
% 283.41/283.60  9465[0:Res:9208.0,5837.0] ||  -> is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,skc55),v),v))*.
% 283.41/283.60  9478[0:SoR:264.0,9464.0] ||  -> is_a_theorem(or__dfg(u,not__dfg(implies__dfg(skc55,u))))*.
% 283.41/283.60  9480[0:Res:9464.0,93.1] is_a_theorem(implies__dfg(skc55,u)) ||  -> is_a_theorem(u)*.
% 283.41/283.60  9487[0:SpR:83.0,9478.0] ||  -> is_a_theorem(or__dfg(not__dfg(u),and__dfg(skc55,u)))*.
% 283.41/283.60  9496[0:Rew:78.0,9487.0] ||  -> is_a_theorem(implies__dfg(u,and__dfg(skc55,u)))*.
% 283.41/283.60  10067[0:SoR:1603.0,5100.0] ||  -> is_a_theorem(implies__dfg(u,or__dfg(and__dfg(u,skc55),v)))*.
% 283.41/283.60  10072[0:SoR:1603.0,201.0] ||  -> is_a_theorem(implies__dfg(u,or__dfg(and__dfg(v,u),not__dfg(v))))*.
% 283.41/283.60  10099[0:SoR:9480.0,10067.0] ||  -> is_a_theorem(or__dfg(and__dfg(skc55,skc55),u))*.
% 283.41/283.60  10123[0:SoR:274.0,10099.0] ||  -> is_a_theorem(implies__dfg(u,and__dfg(skc55,skc55)))*.
% 283.41/283.60  10430[0:SpR:1814.0,183.0] ||  -> equal(and__dfg(implies__dfg(u,v),implies__dfg(v,not__dfg(not__dfg(u)))),not__dfg(not__dfg(equiv__dfg(u,v))))**.
% 283.41/283.60  10485[0:SpR:1814.0,9465.0] ||  -> is_a_theorem(implies__dfg(not__dfg(equiv__dfg(u,skc55)),and__dfg(skc55,not__dfg(u))))*.
% 283.41/283.60  10526[0:Rew:85.0,10485.0] ||  -> is_a_theorem(or__dfg(equiv__dfg(u,skc55),and__dfg(skc55,not__dfg(u))))*.
% 283.41/283.60  10545[0:Rew:2752.0,10430.0] ||  -> equal(not__dfg(not__dfg(equiv__dfg(u,v))),equiv__dfg(not__dfg(not__dfg(u)),v))**.
% 283.41/283.60  10546[0:Rew:10545.0,7242.0] ||  -> is_a_theorem(equiv__dfg(not__dfg(not__dfg(u)),u))*.
% 283.41/283.60  10627[0:Res:10546.0,80.0] ||  -> equal(not__dfg(not__dfg(u)),u)**.
% 283.41/283.60  11268[0:Rew:10627.0,2733.0] ||  -> equal(implies__dfg(or__dfg(u,v),and__dfg(v,u)),not__dfg(equiv__dfg(not__dfg(u),v)))**.
% 283.41/283.60  11496[0:SpR:10627.0,81.0] ||  -> equal(not__dfg(and__dfg(u,v)),implies__dfg(u,not__dfg(v)))**.
% 283.41/283.60  11506[0:SpR:10627.0,83.0] ||  -> equal(not__dfg(implies__dfg(u,v)),and__dfg(u,not__dfg(v)))**.
% 283.41/283.60  11515[0:SpR:10627.0,186.0] ||  -> equal(and__dfg(not__dfg(u),not__dfg(v)),not__dfg(or__dfg(u,v)))**.
% 283.41/283.60  13310[0:SoR:263.0,10526.0] ||  -> is_a_theorem(or__dfg(and__dfg(skc55,not__dfg(u)),equiv__dfg(u,skc55)))*.
% 283.41/283.60  13313[0:Rew:156.0,13310.0] ||  -> is_a_theorem(implies__dfg(implies__dfg(skc55,u),equiv__dfg(u,skc55)))*.
% 283.41/283.60  13322[0:Res:13313.0,93.1] is_a_theorem(implies__dfg(skc55,u)) ||  -> is_a_theorem(equiv__dfg(u,skc55))*.
% 283.41/283.60  13924[0:SoR:13322.0,270.1] is_a_theorem(u) ||  -> is_a_theorem(equiv__dfg(u,skc55))*.
% 283.41/283.60  13936[0:SoR:13322.0,5913.0] ||  -> is_a_theorem(equiv__dfg(implies__dfg(u,skc55),skc55))*.
% 283.41/283.60  13939[0:SoR:13322.0,3077.0] ||  -> is_a_theorem(equiv__dfg(implies__dfg(u,u),skc55))*.
% 283.41/283.60  13947[0:SoR:13322.0,3262.0] ||  -> is_a_theorem(equiv__dfg(or__dfg(skc55,u),skc55))*.
% 283.41/283.60  13962[0:SoR:13322.0,10123.0] ||  -> is_a_theorem(equiv__dfg(and__dfg(skc55,skc55),skc55))*.
% 283.41/283.60  14003[0:Res:13962.0,80.0] ||  -> equal(and__dfg(skc55,skc55),skc55)**.
% 283.41/283.60  14201[0:Res:13936.0,80.0] ||  -> equal(implies__dfg(u,skc55),skc55)**.
% 283.41/283.60  14339[0:SpR:14201.0,94.0] ||  -> equal(and__dfg(implies__dfg(skc55,u),skc55),equiv__dfg(skc55,u))**.
% 283.41/283.60  14380[0:SpR:14201.0,94.0] ||  -> equal(and__dfg(skc55,implies__dfg(skc55,u)),equiv__dfg(u,skc55))**.
% 283.41/283.60  14396[0:SpR:14201.0,1061.0] ||  -> is_a_theorem(implies__dfg(implies__dfg(skc55,u),or__dfg(u,and__dfg(v,not__dfg(skc55)))))*.
% 283.41/283.60  15013[0:Res:13947.0,80.0] ||  -> equal(or__dfg(skc55,u),skc55)**.
% 283.41/283.60  15220[0:SpR:15013.0,289.0] ||  -> equal(and__dfg(implies__dfg(u,not__dfg(skc55)),skc55),equiv__dfg(u,not__dfg(skc55)))**.
% 283.41/283.60  15325[0:SpR:15013.0,186.0] ||  -> equal(and__dfg(not__dfg(skc55),u),not__dfg(skc55))**.
% 283.41/283.60  15756[0:Res:13939.0,80.0] ||  -> equal(implies__dfg(u,u),skc55)**.
% 283.41/283.60  15998[0:SpR:15756.0,85.0] ||  -> equal(or__dfg(u,not__dfg(u)),skc55)**.
% 283.41/283.60  16447[0:SpR:15998.0,186.0] ||  -> equal(and__dfg(not__dfg(u),u),not__dfg(skc55))**.
% 283.41/283.60  16970[0:SpR:15325.0,11268.0] ||  -> equal(implies__dfg(or__dfg(u,not__dfg(skc55)),not__dfg(skc55)),not__dfg(equiv__dfg(not__dfg(u),not__dfg(skc55))))**.
% 283.41/283.60  16981[0:SpR:15325.0,1814.0] ||  -> equal(implies__dfg(implies__dfg(u,not__dfg(skc55)),not__dfg(skc55)),not__dfg(equiv__dfg(u,not__dfg(skc55))))**.
% 283.41/283.60  17018[0:Rew:173.0,16981.0] ||  -> equal(or__dfg(and__dfg(u,skc55),not__dfg(skc55)),not__dfg(equiv__dfg(u,not__dfg(skc55))))**.
% 283.41/283.60  17039[0:Res:13924.1,80.0] is_a_theorem(u) ||  -> equal(u,skc55)*.
% 283.41/283.60  17144[0:EmS:17039.0,5100.0] ||  -> equal(or__dfg(and__dfg(u,skc55),implies__dfg(u,v)),skc55)**.
% 283.41/283.60  17177[0:EmS:17039.0,9464.0] ||  -> equal(implies__dfg(implies__dfg(skc55,u),u),skc55)**.
% 283.41/283.60  17185[0:EmS:17039.0,9496.0] ||  -> equal(implies__dfg(u,and__dfg(skc55,u)),skc55)**.
% 283.41/283.60  17186[0:EmS:17039.0,372.0] ||  -> equal(implies__dfg(u,and__dfg(u,u)),skc55)**.
% 283.41/283.60  17215[0:EmS:17039.0,115.0] ||  -> equal(implies__dfg(u,implies__dfg(v,u)),skc55)**.
% 283.41/283.60  17221[0:EmS:17039.0,387.0] ||  -> equal(implies__dfg(and__dfg(u,v),and__dfg(v,u)),skc55)**.
% 283.41/283.60  17222[0:EmS:17039.0,379.0] ||  -> equal(implies__dfg(and__dfg(u,v),v),skc55)**.
% 283.41/283.60  17252[0:EmS:17039.0,320.0] ||  -> equal(implies__dfg(implies__dfg(u,or__dfg(v,w)),or__dfg(v,implies__dfg(u,w))),skc55)**.
% 283.41/283.60  17254[0:EmS:17039.0,137.0] ||  -> equal(implies__dfg(implies__dfg(u,v),or__dfg(v,not__dfg(u))),skc55)**.
% 283.41/283.60  17255[0:EmS:17039.0,96.0] ||  -> equal(implies__dfg(or__dfg(u,or__dfg(v,w)),or__dfg(v,or__dfg(u,w))),skc55)**.
% 283.41/283.60  17256[0:EmS:17039.0,79.0] ||  -> equal(implies__dfg(or__dfg(u,v),or__dfg(v,u)),skc55)**.
% 283.41/283.60  17261[0:EmS:17039.0,75.0] ||  -> equal(implies__dfg(u,or__dfg(v,u)),skc55)**.
% 283.41/283.60  17262[0:EmS:17039.0,76.0] ||  -> equal(implies__dfg(or__dfg(u,u),u),skc55)**.
% 283.41/283.60  17287[0:Rew:17261.0,3515.2] || equivalence_3 implies_2 -> is_a_theorem(implies__dfg(skc55,equiv__dfg(or__dfg(u,or__dfg(u,v)),or__dfg(u,v))))*.
% 283.41/283.60  17462[0:Rew:17254.0,3493.1] || equivalence_3 -> is_a_theorem(implies__dfg(skc55,equiv__dfg(or__dfg(u,not__dfg(v)),implies__dfg(v,u))))*.
% 283.41/283.60  17517[0:Rew:17252.0,3492.1] || equivalence_3 -> is_a_theorem(implies__dfg(skc55,equiv__dfg(or__dfg(u,implies__dfg(v,w)),implies__dfg(v,or__dfg(u,w)))))*.
% 283.41/283.60  17519[0:Rew:17255.0,3524.1] || equivalence_3 -> is_a_theorem(implies__dfg(skc55,equiv__dfg(or__dfg(u,or__dfg(v,w)),or__dfg(v,or__dfg(u,w)))))*.
% 283.41/283.60  17572[0:SpR:10627.0,16447.0] ||  -> equal(and__dfg(u,not__dfg(u)),not__dfg(skc55))**.
% 283.41/283.60  17662[0:SpR:17177.0,94.0] ||  -> equal(and__dfg(implies__dfg(u,implies__dfg(skc55,u)),skc55),equiv__dfg(u,implies__dfg(skc55,u)))**.
% 283.41/283.60  17678[0:Rew:17215.0,17662.0] ||  -> equal(equiv__dfg(u,implies__dfg(skc55,u)),and__dfg(skc55,skc55))**.
% 283.41/283.60  17679[0:Rew:14003.0,17678.0] ||  -> equal(equiv__dfg(u,implies__dfg(skc55,u)),skc55)**.
% 283.41/283.60  17689[0:SpR:17185.0,94.0] ||  -> equal(and__dfg(implies__dfg(and__dfg(skc55,u),u),skc55),equiv__dfg(and__dfg(skc55,u),u))**.
% 283.41/283.60  17704[0:Rew:17222.0,17689.0] ||  -> equal(equiv__dfg(and__dfg(skc55,u),u),and__dfg(skc55,skc55))**.
% 283.41/283.60  17705[0:Rew:14003.0,17704.0] ||  -> equal(equiv__dfg(and__dfg(skc55,u),u),skc55)**.
% 283.41/283.60  17776[0:SpL:17679.0,80.0] || is_a_theorem(skc55) -> equal(implies__dfg(skc55,u),u)**.
% 283.41/283.60  17777[0:MRR:17776.0,277.0] ||  -> equal(implies__dfg(skc55,u),u)**.
% 283.41/283.60  17797[0:Rew:17777.0,17519.1] || equivalence_3 -> is_a_theorem(equiv__dfg(or__dfg(u,or__dfg(v,w)),or__dfg(v,or__dfg(u,w))))*.
% 283.41/283.60  17800[0:Rew:17777.0,17287.2] || equivalence_3 implies_2 -> is_a_theorem(equiv__dfg(or__dfg(u,or__dfg(u,v)),or__dfg(u,v)))*.
% 283.41/283.60  17806[0:Rew:17777.0,17517.1] || equivalence_3 -> is_a_theorem(equiv__dfg(or__dfg(u,implies__dfg(v,w)),implies__dfg(v,or__dfg(u,w))))*.
% 283.41/283.60  17807[0:Rew:17777.0,17462.1] || equivalence_3 -> is_a_theorem(equiv__dfg(or__dfg(u,not__dfg(v)),implies__dfg(v,u)))*.
% 283.41/283.60  17860[0:Rew:17777.0,14339.0] ||  -> equal(and__dfg(u,skc55),equiv__dfg(skc55,u))**.
% 283.41/283.60  17861[0:Rew:17777.0,14380.0] ||  -> equal(and__dfg(skc55,u),equiv__dfg(u,skc55))**.
% 283.41/283.60  17862[0:Rew:17777.0,14396.0] ||  -> is_a_theorem(implies__dfg(u,or__dfg(u,and__dfg(v,not__dfg(skc55)))))*.
% 283.41/283.60  17915[0:Rew:17860.0,15220.0] ||  -> equal(equiv__dfg(skc55,implies__dfg(u,not__dfg(skc55))),equiv__dfg(u,not__dfg(skc55)))**.
% 283.41/283.60  17926[0:Rew:17860.0,5769.0] ||  -> is_a_theorem(or__dfg(equiv__dfg(skc55,u),or__dfg(v,implies__dfg(u,w))))*.
% 283.41/283.60  17935[0:Rew:17860.0,17018.0] ||  -> equal(or__dfg(equiv__dfg(skc55,u),not__dfg(skc55)),not__dfg(equiv__dfg(u,not__dfg(skc55))))**.
% 283.41/283.60  17938[0:Rew:17860.0,17144.0] ||  -> equal(or__dfg(equiv__dfg(skc55,u),implies__dfg(u,v)),skc55)**.
% 283.41/283.60  17976[0:Rew:17861.0,17705.0] ||  -> equal(equiv__dfg(equiv__dfg(u,skc55),u),skc55)**.
% 283.41/283.60  18167[0:Res:17807.1,80.0] || equivalence_3 -> equal(or__dfg(u,not__dfg(v)),implies__dfg(v,u))**.
% 283.41/283.60  18187[0:Rew:18167.1,3477.1] || equivalence_3 -> is_a_theorem(implies__dfg(implies__dfg(implies__dfg(implies__dfg(u,v),or__dfg(v,w)),or__dfg(u,w)),equiv__dfg(or__dfg(u,w),implies__dfg(implies__dfg(u,v),or__dfg(v,w)))))*.
% 283.41/283.60  18249[0:SpL:17976.0,80.0] || is_a_theorem(skc55) -> equal(equiv__dfg(u,skc55),u)**.
% 283.41/283.60  18250[0:MRR:18249.0,277.0] ||  -> equal(equiv__dfg(u,skc55),u)**.
% 283.41/283.60  18252[0:Rew:18250.0,17861.0] ||  -> equal(and__dfg(skc55,u),u)**.
% 283.41/283.60  18393[0:SpR:17186.0,94.0] ||  -> equal(and__dfg(skc55,implies__dfg(and__dfg(u,u),u)),equiv__dfg(u,and__dfg(u,u)))**.
% 283.41/283.60  18411[0:Rew:18252.0,18393.0] ||  -> equal(equiv__dfg(u,and__dfg(u,u)),implies__dfg(and__dfg(u,u),u))**.
% 283.41/283.60  18412[0:Rew:17222.0,18411.0] ||  -> equal(equiv__dfg(u,and__dfg(u,u)),skc55)**.
% 283.41/283.60  18421[0:SpR:17215.0,94.0] ||  -> equal(and__dfg(skc55,implies__dfg(implies__dfg(u,v),v)),equiv__dfg(v,implies__dfg(u,v)))**.
% 283.41/283.60  18440[0:Rew:18252.0,18421.0] ||  -> equal(equiv__dfg(u,implies__dfg(v,u)),implies__dfg(implies__dfg(v,u),u))**.
% 283.41/283.60  18575[0:SpR:17262.0,94.0] ||  -> equal(and__dfg(skc55,implies__dfg(u,or__dfg(u,u))),equiv__dfg(or__dfg(u,u),u))**.
% 283.41/283.60  18593[0:Rew:18252.0,18575.0,17261.0,18575.0] ||  -> equal(equiv__dfg(or__dfg(u,u),u),skc55)**.
% 283.41/283.60  18616[0:SpL:18412.0,80.0] || is_a_theorem(skc55) -> equal(and__dfg(u,u),u)**.
% 283.41/283.60  18618[0:MRR:18616.0,277.0] ||  -> equal(and__dfg(u,u),u)**.
% 283.41/283.60  18751[0:Res:17800.2,80.0] || equivalence_3 implies_2 -> equal(or__dfg(u,or__dfg(u,v)),or__dfg(u,v))**.
% 283.41/283.60  18956[0:SpR:15013.0,551.0] ||  -> is_a_theorem(implies__dfg(or__dfg(u,and__dfg(not__dfg(skc55),v)),implies__dfg(skc55,u)))*.
% 283.41/283.60  18985[0:Rew:15325.0,18956.0,17777.0,18956.0] ||  -> is_a_theorem(implies__dfg(or__dfg(u,not__dfg(skc55)),u))*.
% 283.41/283.60  19034[0:SoR:264.0,18985.0] ||  -> is_a_theorem(or__dfg(u,not__dfg(or__dfg(u,not__dfg(skc55)))))*.
% 283.41/283.60  19049[0:Rew:17860.0,19034.0,186.0,19034.0] ||  -> is_a_theorem(or__dfg(u,equiv__dfg(skc55,not__dfg(u))))*.
% 283.41/283.60  19061[0:SpR:10627.0,19049.0] ||  -> is_a_theorem(or__dfg(not__dfg(u),equiv__dfg(skc55,u)))*.
% 283.41/283.60  19073[0:Rew:78.0,19061.0] ||  -> is_a_theorem(implies__dfg(u,equiv__dfg(skc55,u)))*.
% 283.41/283.60  19084[0:EmS:17039.0,19073.0] ||  -> equal(implies__dfg(u,equiv__dfg(skc55,u)),skc55)**.
% 283.41/283.60  19183[0:SpR:19084.0,94.0] ||  -> equal(and__dfg(skc55,implies__dfg(equiv__dfg(skc55,u),u)),equiv__dfg(u,equiv__dfg(skc55,u)))**.
% 283.41/283.60  19197[0:Rew:18252.0,19183.0] ||  -> equal(equiv__dfg(u,equiv__dfg(skc55,u)),implies__dfg(equiv__dfg(skc55,u),u))**.
% 283.41/283.60  19211[0:SpL:18593.0,80.0] || is_a_theorem(skc55) -> equal(or__dfg(u,u),u)**.
% 283.41/283.60  19212[0:MRR:19211.0,277.0] ||  -> equal(or__dfg(u,u),u)**.
% 283.41/283.60  19257[0:SpR:19212.0,78.0] ||  -> equal(implies__dfg(u,not__dfg(u)),not__dfg(u))**.
% 283.41/283.60  21961[0:Res:17797.1,80.0] || equivalence_3 -> equal(or__dfg(u,or__dfg(v,w)),or__dfg(v,or__dfg(u,w)))*.
% 283.41/283.60  22072[0:SpR:19257.0,17806.1] || equivalence_3 -> is_a_theorem(equiv__dfg(or__dfg(u,not__dfg(v)),implies__dfg(v,or__dfg(u,not__dfg(v)))))*.
% 283.41/283.60  22084[0:Res:17806.1,80.0] || equivalence_3 -> equal(or__dfg(u,implies__dfg(v,w)),implies__dfg(v,or__dfg(u,w)))**.
% 283.41/283.60  22148[0:Rew:18167.1,22072.1,18440.0,22072.1] || equivalence_3 -> is_a_theorem(implies__dfg(implies__dfg(u,implies__dfg(u,v)),implies__dfg(u,v)))*.
% 283.41/283.60  24208[0:SpR:17572.0,17862.0] ||  -> is_a_theorem(implies__dfg(u,or__dfg(u,not__dfg(skc55))))*.
% 283.41/283.60  24271[0:SoR:1553.0,24208.0] ||  -> is_a_theorem(or__dfg(u,implies__dfg(u,not__dfg(skc55))))*.
% 283.41/283.60  24342[0:SoR:263.0,24271.0] ||  -> is_a_theorem(or__dfg(implies__dfg(u,not__dfg(skc55)),u))*.
% 283.41/283.60  24376[0:Rew:17860.0,24342.0,174.0,24342.0] ||  -> is_a_theorem(implies__dfg(equiv__dfg(skc55,u),u))*.
% 283.41/283.60  24401[0:EmS:17039.0,24376.0] ||  -> equal(implies__dfg(equiv__dfg(skc55,u),u),skc55)**.
% 283.41/283.60  24436[0:Rew:24401.0,19197.0] ||  -> equal(equiv__dfg(u,equiv__dfg(skc55,u)),skc55)**.
% 283.41/283.60  24702[0:SpL:24436.0,80.0] || is_a_theorem(skc55) -> equal(equiv__dfg(skc55,u),u)**.
% 283.41/283.60  24703[0:MRR:24702.0,277.0] ||  -> equal(equiv__dfg(skc55,u),u)**.
% 283.41/283.60  24704[0:Rew:24703.0,17860.0] ||  -> equal(and__dfg(u,skc55),u)**.
% 283.41/283.60  24790[0:Rew:24703.0,17915.0] ||  -> equal(equiv__dfg(u,not__dfg(skc55)),implies__dfg(u,not__dfg(skc55)))**.
% 283.41/283.60  24802[0:Rew:24703.0,17938.0] ||  -> equal(or__dfg(u,implies__dfg(u,v)),skc55)**.
% 283.41/283.60  24805[0:Rew:24703.0,17926.0] ||  -> is_a_theorem(or__dfg(u,or__dfg(v,implies__dfg(u,w))))*.
% 283.41/283.60  24807[0:Rew:24703.0,17935.0] ||  -> equal(not__dfg(equiv__dfg(u,not__dfg(skc55))),or__dfg(u,not__dfg(skc55)))**.
% 283.41/283.60  25363[0:Rew:24790.0,16970.0] ||  -> equal(implies__dfg(or__dfg(u,not__dfg(skc55)),not__dfg(skc55)),not__dfg(implies__dfg(not__dfg(u),not__dfg(skc55))))**.
% 283.41/283.60  25411[0:Rew:11506.0,24807.0,24790.0,24807.0] ||  -> equal(and__dfg(u,not__dfg(not__dfg(skc55))),or__dfg(u,not__dfg(skc55)))**.
% 283.41/283.60  25412[0:Rew:10627.0,25411.0] ||  -> equal(or__dfg(u,not__dfg(skc55)),and__dfg(u,skc55))**.
% 283.41/283.60  25413[0:Rew:24704.0,25412.0] ||  -> equal(or__dfg(u,not__dfg(skc55)),u)**.
% 283.41/283.60  25587[0:Rew:186.0,25363.0,85.0,25363.0] ||  -> equal(implies__dfg(or__dfg(u,not__dfg(skc55)),not__dfg(skc55)),and__dfg(not__dfg(u),skc55))**.
% 283.41/283.60  25588[0:Rew:25413.0,25587.0,24704.0,25587.0] ||  -> equal(implies__dfg(u,not__dfg(skc55)),not__dfg(u))**.
% 283.41/283.60  26769[0:SpR:24802.0,3010.1] || and_3 -> is_a_theorem(implies__dfg(skc55,or__dfg(u,or__dfg(v,and__dfg(implies__dfg(u,w),not__dfg(v))))))*.
% 283.41/283.60  26803[0:Rew:17777.0,26769.1] || and_3 -> is_a_theorem(or__dfg(u,or__dfg(v,and__dfg(implies__dfg(u,w),not__dfg(v)))))*.
% 283.41/283.60  27441[0:SpR:85.0,24805.0] ||  -> is_a_theorem(or__dfg(not__dfg(u),or__dfg(v,or__dfg(u,w))))*.
% 283.41/283.60  27499[0:Rew:78.0,27441.0] ||  -> is_a_theorem(implies__dfg(u,or__dfg(v,or__dfg(u,w))))*.
% 283.41/283.60  29250[0:EmS:17039.0,27499.0] ||  -> equal(implies__dfg(u,or__dfg(v,or__dfg(u,w))),skc55)**.
% 283.41/283.60  34946[0:EmS:17039.0,10072.0] ||  -> equal(implies__dfg(u,or__dfg(and__dfg(v,u),not__dfg(v))),skc55)**.
% 283.41/283.60  35230[0:SpR:155.0,11506.0] ||  -> equal(and__dfg(and__dfg(u,not__dfg(v)),not__dfg(w)),not__dfg(or__dfg(implies__dfg(u,v),w)))**.
% 283.41/283.60  37130[0:SpR:17221.0,94.0] ||  -> equal(and__dfg(implies__dfg(and__dfg(u,v),and__dfg(v,u)),skc55),equiv__dfg(and__dfg(u,v),and__dfg(v,u)))**.
% 283.41/283.60  37253[0:Rew:18618.0,37130.0,17221.0,37130.0] ||  -> equal(equiv__dfg(and__dfg(u,v),and__dfg(v,u)),skc55)**.
% 283.41/283.60  37477[0:SpR:17256.0,94.0] ||  -> equal(and__dfg(implies__dfg(or__dfg(u,v),or__dfg(v,u)),skc55),equiv__dfg(or__dfg(u,v),or__dfg(v,u)))**.
% 283.41/283.60  37567[0:Rew:18618.0,37477.0,17256.0,37477.0] ||  -> equal(equiv__dfg(or__dfg(u,v),or__dfg(v,u)),skc55)**.
% 283.41/283.60  39601[0:SpR:29250.0,11506.0] ||  -> equal(and__dfg(u,not__dfg(or__dfg(v,or__dfg(u,w)))),not__dfg(skc55))**.
% 283.41/283.60  47411[0:SpL:37253.0,80.0] || is_a_theorem(skc55) -> equal(and__dfg(u,v),and__dfg(v,u))*.
% 283.41/283.60  47430[0:MRR:47411.0,277.0] ||  -> equal(and__dfg(u,v),and__dfg(v,u))*.
% 283.41/283.60  47442[0:Rew:47430.0,44.0] || is_a_theorem(implies__dfg(skc73,implies__dfg(skc72,and__dfg(skc72,skc73))))* -> and_3.
% 283.41/283.60  47748[0:SpR:47430.0,11496.0] ||  -> equal(not__dfg(and__dfg(u,v)),implies__dfg(v,not__dfg(u)))**.
% 283.41/283.60  47770[0:SpR:47430.0,557.0] ||  -> equal(and__dfg(and__dfg(u,not__dfg(v)),not__dfg(w)),not__dfg(or__dfg(w,implies__dfg(u,v))))**.
% 283.41/283.60  47852[0:Rew:11496.0,47748.0] ||  -> equal(implies__dfg(u,not__dfg(v)),implies__dfg(v,not__dfg(u)))*.
% 283.41/283.60  48244[0:Rew:35230.0,47770.0] ||  -> equal(not__dfg(or__dfg(implies__dfg(u,v),w)),not__dfg(or__dfg(w,implies__dfg(u,v))))*.
% 283.41/283.60  48741[0:SpL:37567.0,80.0] || is_a_theorem(skc55) -> equal(or__dfg(u,v),or__dfg(v,u))*.
% 283.41/283.60  48777[0:MRR:48741.0,277.0] ||  -> equal(or__dfg(u,v),or__dfg(v,u))*.
% 283.41/283.60  48779[0:Rew:48777.0,99.0] || is_a_theorem(implies__dfg(implies__dfg(skc80,skc78),implies__dfg(implies__dfg(skc79,skc78),implies__dfg(or__dfg(skc79,skc80),skc78))))* -> .
% 283.41/283.60  49054[0:Rew:48777.0,34946.0] ||  -> equal(implies__dfg(u,or__dfg(not__dfg(v),and__dfg(v,u))),skc55)**.
% 283.41/283.60  49205[0:Rew:78.0,49054.0] ||  -> equal(implies__dfg(u,implies__dfg(v,and__dfg(v,u))),skc55)**.
% 283.41/283.60  49206[0:Rew:49205.0,47442.0] || is_a_theorem(skc55)* -> and_3.
% 283.41/283.60  49210[0:MRR:49206.0,277.0] ||  -> and_3*.
% 283.41/283.60  49211[0:MRR:3126.0,49210.0] ||  -> equivalence_3*.
% 283.41/283.60  49305[0:MRR:26803.0,49210.0] ||  -> is_a_theorem(or__dfg(u,or__dfg(v,and__dfg(implies__dfg(u,w),not__dfg(v)))))*.
% 283.41/283.60  49435[0:MRR:18167.0,49211.0] ||  -> equal(or__dfg(u,not__dfg(v)),implies__dfg(v,u))**.
% 283.41/283.60  49443[0:MRR:18187.0,49211.0] ||  -> is_a_theorem(implies__dfg(implies__dfg(implies__dfg(implies__dfg(u,v),or__dfg(v,w)),or__dfg(u,w)),equiv__dfg(or__dfg(u,w),implies__dfg(implies__dfg(u,v),or__dfg(v,w)))))*.
% 283.41/283.60  49446[0:MRR:18751.0,49211.0] || implies_2 -> equal(or__dfg(u,or__dfg(u,v)),or__dfg(u,v))**.
% 283.41/283.60  49453[0:MRR:21961.0,49211.0] ||  -> equal(or__dfg(u,or__dfg(v,w)),or__dfg(v,or__dfg(u,w)))*.
% 283.41/283.60  49455[0:MRR:22084.0,49211.0] ||  -> equal(or__dfg(u,implies__dfg(v,w)),implies__dfg(v,or__dfg(u,w)))**.
% 283.41/283.60  49456[0:MRR:22148.0,49211.0] ||  -> is_a_theorem(implies__dfg(implies__dfg(u,implies__dfg(u,v)),implies__dfg(u,v)))*.
% 283.41/283.60  49804[0:MRR:57.0,49456.0] ||  -> implies_2*.
% 283.41/283.60  49911[0:MRR:49446.0,49804.0] ||  -> equal(or__dfg(u,or__dfg(u,v)),or__dfg(u,v))**.
% 283.41/283.60  50063[0:Rew:49455.0,2461.0] ||  -> equal(and__dfg(and__dfg(u,not__dfg(v)),and__dfg(w,not__dfg(x))),not__dfg(implies__dfg(w,or__dfg(implies__dfg(u,v),x))))**.
% 283.41/283.60  50148[0:Rew:49455.0,48244.0] ||  -> equal(not__dfg(or__dfg(implies__dfg(u,v),w)),not__dfg(implies__dfg(u,or__dfg(w,v))))**.
% 283.41/283.60  50986[0:Rew:11506.0,50148.0] ||  -> equal(not__dfg(or__dfg(implies__dfg(u,v),w)),and__dfg(u,not__dfg(or__dfg(w,v))))**.
% 283.41/283.60  51822[0:Rew:11506.0,50063.0] ||  -> equal(and__dfg(and__dfg(u,not__dfg(v)),and__dfg(w,not__dfg(x))),and__dfg(w,not__dfg(or__dfg(implies__dfg(u,v),x))))**.
% 283.41/283.60  51823[0:Rew:50986.0,51822.0] ||  -> equal(and__dfg(and__dfg(u,not__dfg(v)),and__dfg(w,not__dfg(x))),and__dfg(w,and__dfg(u,not__dfg(or__dfg(x,v)))))**.
% 283.41/283.60  52305[0:SpR:48777.0,290.0] ||  -> equal(and__dfg(or__dfg(u,v),implies__dfg(u,not__dfg(v))),equiv__dfg(not__dfg(v),u))**.
% 283.41/283.60  52325[0:SpR:48777.0,174.0] ||  -> equal(or__dfg(u,implies__dfg(v,not__dfg(w))),implies__dfg(and__dfg(v,w),u))**.
% 283.41/283.60  52327[0:SpR:48777.0,156.0] ||  -> equal(or__dfg(u,and__dfg(v,not__dfg(w))),implies__dfg(implies__dfg(v,w),u))**.
% 283.41/283.60  52379[0:Rew:49435.0,52325.0,49455.0,52325.0] ||  -> equal(implies__dfg(and__dfg(u,v),w),implies__dfg(u,implies__dfg(v,w)))**.
% 283.41/283.60  52381[0:Rew:52379.0,155.0] ||  -> equal(implies__dfg(u,implies__dfg(not__dfg(v),w)),or__dfg(implies__dfg(u,v),w))**.
% 283.41/283.60  52762[0:Rew:52327.0,49305.0] ||  -> is_a_theorem(or__dfg(u,implies__dfg(implies__dfg(implies__dfg(u,v),w),w)))*.
% 283.41/283.60  52812[0:Rew:49455.0,52762.0] ||  -> is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),w),or__dfg(u,w)))*.
% 283.41/283.60  52815[0:Rew:85.0,52381.0] ||  -> equal(or__dfg(implies__dfg(u,v),w),implies__dfg(u,or__dfg(v,w)))**.
% 283.41/283.60  53974[0:SpR:85.0,52815.0] ||  -> equal(implies__dfg(not__dfg(u),or__dfg(v,w)),or__dfg(or__dfg(u,v),w))**.
% 283.41/283.60  54024[0:Rew:85.0,53974.0] ||  -> equal(or__dfg(or__dfg(u,v),w),or__dfg(u,or__dfg(v,w)))**.
% 283.41/283.60  54210[0:SpR:49435.0,52815.0] ||  -> equal(implies__dfg(u,or__dfg(v,not__dfg(w))),implies__dfg(w,implies__dfg(u,v)))**.
% 283.41/283.60  54243[0:Rew:49435.0,54210.0] ||  -> equal(implies__dfg(u,implies__dfg(v,w)),implies__dfg(v,implies__dfg(u,w)))*.
% 283.41/283.60  54249[0:Rew:54243.0,48779.0] || is_a_theorem(implies__dfg(implies__dfg(skc79,skc78),implies__dfg(implies__dfg(skc80,skc78),implies__dfg(or__dfg(skc79,skc80),skc78))))* -> .
% 283.41/283.60  55191[0:SpR:47852.0,94.0] ||  -> equal(and__dfg(implies__dfg(u,not__dfg(v)),implies__dfg(not__dfg(u),v)),equiv__dfg(v,not__dfg(u)))**.
% 283.41/283.60  55216[0:SpR:47852.0,94.0] ||  -> equal(and__dfg(implies__dfg(not__dfg(u),v),implies__dfg(u,not__dfg(v))),equiv__dfg(not__dfg(u),v))**.
% 283.41/283.60  55301[0:Rew:47430.0,55191.0,85.0,55191.0] ||  -> equal(and__dfg(or__dfg(u,v),implies__dfg(u,not__dfg(v))),equiv__dfg(v,not__dfg(u)))**.
% 283.41/283.60  55302[0:Rew:52305.0,55301.0] ||  -> equal(equiv__dfg(not__dfg(u),v),equiv__dfg(u,not__dfg(v)))**.
% 283.41/283.60  55305[0:Rew:55302.0,11268.0] ||  -> equal(implies__dfg(or__dfg(u,v),and__dfg(v,u)),not__dfg(equiv__dfg(u,not__dfg(v))))**.
% 283.41/283.60  55347[0:Rew:55302.0,52305.0] ||  -> equal(and__dfg(or__dfg(u,v),implies__dfg(u,not__dfg(v))),equiv__dfg(v,not__dfg(u)))**.
% 283.41/283.60  55428[0:Rew:85.0,55216.0] ||  -> equal(and__dfg(or__dfg(u,v),implies__dfg(u,not__dfg(v))),equiv__dfg(not__dfg(u),v))**.
% 283.41/283.60  55429[0:Rew:55347.0,55428.0,55302.0,55428.0] ||  -> equal(equiv__dfg(u,not__dfg(v)),equiv__dfg(v,not__dfg(u)))*.
% 283.41/283.60  55988[0:SpR:54024.0,48777.0] ||  -> equal(or__dfg(u,or__dfg(v,w)),or__dfg(v,or__dfg(w,u)))*.
% 283.41/283.60  56302[0:SpR:48777.0,49911.0] ||  -> equal(or__dfg(u,or__dfg(v,u)),or__dfg(v,u))**.
% 283.41/283.60  56568[0:SpR:49911.0,55305.0] ||  -> equal(implies__dfg(or__dfg(u,v),and__dfg(or__dfg(u,v),u)),not__dfg(equiv__dfg(u,not__dfg(or__dfg(u,v)))))**.
% 283.41/283.60  56620[0:Rew:47430.0,56568.0] ||  -> equal(implies__dfg(or__dfg(u,v),and__dfg(u,or__dfg(u,v))),not__dfg(equiv__dfg(u,not__dfg(or__dfg(u,v)))))**.
% 283.41/283.60  62441[0:SpR:51823.0,11496.0] ||  -> equal(implies__dfg(and__dfg(u,not__dfg(v)),not__dfg(and__dfg(w,not__dfg(x)))),not__dfg(and__dfg(w,and__dfg(u,not__dfg(or__dfg(x,v))))))**.
% 283.41/283.60  62634[0:Rew:10627.0,62441.0,11496.0,62441.0,10627.0,62441.0,11496.0,62441.0,11496.0,62441.0] ||  -> equal(implies__dfg(and__dfg(u,not__dfg(v)),implies__dfg(w,x)),implies__dfg(w,implies__dfg(u,or__dfg(x,v))))**.
% 283.41/283.60  62635[0:Rew:52379.0,62634.0] ||  -> equal(implies__dfg(u,implies__dfg(not__dfg(v),implies__dfg(w,x))),implies__dfg(w,implies__dfg(u,or__dfg(x,v))))**.
% 283.41/283.60  62636[0:Rew:85.0,62635.0] ||  -> equal(implies__dfg(u,or__dfg(v,implies__dfg(w,x))),implies__dfg(w,implies__dfg(u,or__dfg(x,v))))*.
% 283.41/283.60  62637[0:Rew:49455.0,62636.0] ||  -> equal(implies__dfg(u,implies__dfg(v,or__dfg(w,x))),implies__dfg(v,implies__dfg(u,or__dfg(x,w))))*.
% 283.41/283.60  67510[0:SpR:19212.0,3045.0] ||  -> is_a_theorem(implies__dfg(or__dfg(u,and__dfg(v,u)),u))*.
% 283.41/283.60  67689[0:SpR:47430.0,67510.0] ||  -> is_a_theorem(implies__dfg(or__dfg(u,and__dfg(u,v)),u))*.
% 283.41/283.60  67807[0:EmS:17039.0,67689.0] ||  -> equal(implies__dfg(or__dfg(u,and__dfg(u,v)),u),skc55)**.
% 283.41/283.60  67847[0:SpR:11515.0,67689.0] ||  -> is_a_theorem(implies__dfg(or__dfg(not__dfg(u),not__dfg(or__dfg(u,v))),not__dfg(u)))*.
% 283.41/283.60  67907[0:Rew:49435.0,67847.0,173.0,67847.0,47852.0,67847.0,49435.0,67847.0] ||  -> is_a_theorem(implies__dfg(u,and__dfg(u,or__dfg(u,v))))*.
% 283.41/283.60  68524[0:EmS:17039.0,67907.0] ||  -> equal(implies__dfg(u,and__dfg(u,or__dfg(u,v))),skc55)**.
% 283.41/283.60  73324[0:EmS:17039.0,52812.0] ||  -> equal(implies__dfg(implies__dfg(implies__dfg(u,v),w),or__dfg(u,w)),skc55)**.
% 283.41/283.60  111902[0:SpR:19212.0,49443.0] ||  -> is_a_theorem(implies__dfg(implies__dfg(implies__dfg(implies__dfg(u,v),v),or__dfg(u,v)),equiv__dfg(or__dfg(u,v),implies__dfg(implies__dfg(u,v),v))))*.
% 283.41/283.60  112028[0:Rew:73324.0,111902.0] ||  -> is_a_theorem(implies__dfg(skc55,equiv__dfg(or__dfg(u,v),implies__dfg(implies__dfg(u,v),v))))*.
% 283.41/283.60  112029[0:Rew:17777.0,112028.0] ||  -> is_a_theorem(equiv__dfg(or__dfg(u,v),implies__dfg(implies__dfg(u,v),v)))*.
% 283.41/283.60  112516[0:Res:112029.0,80.0] ||  -> equal(implies__dfg(implies__dfg(u,v),v),or__dfg(u,v))**.
% 283.41/283.60  116282[0:SpR:112516.0,173.0] ||  -> equal(or__dfg(and__dfg(u,v),not__dfg(v)),or__dfg(u,not__dfg(v)))**.
% 283.41/283.60  116304[0:SpR:67807.0,112516.0] ||  -> equal(or__dfg(or__dfg(u,and__dfg(u,v)),u),implies__dfg(skc55,u))**.
% 283.41/283.60  116315[0:SpR:85.0,112516.0] ||  -> equal(implies__dfg(or__dfg(u,v),v),or__dfg(not__dfg(u),v))**.
% 283.41/283.60  116344[0:SpR:68524.0,112516.0] ||  -> equal(or__dfg(u,and__dfg(u,or__dfg(u,v))),implies__dfg(skc55,and__dfg(u,or__dfg(u,v))))**.
% 283.41/283.60  116376[0:Rew:78.0,116315.0] ||  -> equal(implies__dfg(or__dfg(u,v),v),implies__dfg(u,v))**.
% 283.41/283.60  116437[0:Rew:49435.0,116282.0,49435.0,116282.0] ||  -> equal(implies__dfg(u,and__dfg(v,u)),implies__dfg(u,v))**.
% 283.41/283.60  116602[0:Rew:116437.0,56620.0] ||  -> equal(not__dfg(equiv__dfg(u,not__dfg(or__dfg(u,v)))),implies__dfg(or__dfg(u,v),u))**.
% 283.41/283.60  116702[0:Rew:49911.0,116304.0,48777.0,116304.0,54024.0,116304.0,17777.0,116304.0] ||  -> equal(or__dfg(u,and__dfg(u,v)),u)**.
% 283.41/283.60  117541[0:Rew:17777.0,116344.0] ||  -> equal(or__dfg(u,and__dfg(u,or__dfg(u,v))),and__dfg(u,or__dfg(u,v)))**.
% 283.41/283.60  117542[0:Rew:116702.0,117541.0] ||  -> equal(and__dfg(u,or__dfg(u,v)),u)**.
% 283.41/283.60  120596[0:SpR:117542.0,55305.0] ||  -> equal(implies__dfg(or__dfg(or__dfg(u,v),u),u),not__dfg(equiv__dfg(or__dfg(u,v),not__dfg(u))))*.
% 283.41/283.60  120717[0:Rew:56302.0,120596.0,54024.0,120596.0,55429.0,120596.0] ||  -> equal(not__dfg(equiv__dfg(u,not__dfg(or__dfg(u,v)))),implies__dfg(or__dfg(v,u),u))**.
% 283.41/283.60  120718[0:Rew:116602.0,120717.0,116376.0,120717.0] ||  -> equal(implies__dfg(or__dfg(u,v),u),implies__dfg(v,u))**.
% 283.41/283.60  126246[0:SpR:39601.0,116437.0] ||  -> equal(implies__dfg(not__dfg(or__dfg(u,or__dfg(v,w))),not__dfg(skc55)),implies__dfg(not__dfg(or__dfg(u,or__dfg(v,w))),v))*.
% 283.41/283.60  126511[0:Rew:10627.0,126246.0,25588.0,126246.0,56302.0,126246.0,54024.0,126246.0,54024.0,126246.0,85.0,126246.0] ||  -> equal(or__dfg(u,or__dfg(v,w)),or__dfg(u,or__dfg(w,v)))*.
% 283.41/283.60  130752[0:SpR:120718.0,52815.0] ||  -> equal(implies__dfg(or__dfg(u,v),or__dfg(u,w)),or__dfg(implies__dfg(v,u),w))**.
% 283.41/283.60  130848[0:Rew:52815.0,130752.0] ||  -> equal(implies__dfg(or__dfg(u,v),or__dfg(u,w)),implies__dfg(v,or__dfg(u,w)))**.
% 283.41/283.60  149123[0:SpR:49453.0,116376.0] ||  -> equal(implies__dfg(or__dfg(u,or__dfg(v,w)),or__dfg(u,w)),implies__dfg(v,or__dfg(u,w)))**.
% 283.41/283.60  149440[0:Rew:130848.0,149123.0] ||  -> equal(implies__dfg(or__dfg(u,v),or__dfg(w,v)),implies__dfg(u,or__dfg(w,v)))**.
% 283.41/283.60  149982[0:SpR:112516Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------