TSTP Solution File: LCL492+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% 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)
%------------------------------------------------------------------------------