TSTP Solution File: LCL002-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n016.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 14:33:59 EDT 2022
% Result : Timeout 294.19s 294.38s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n016.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 : Sun Jul 3 00:33:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 294.19/294.38
% 294.19/294.38 SPASS V 3.9
% 294.19/294.38 SPASS beiseite: Proof found.
% 294.19/294.38 % SZS status Theorem
% 294.19/294.38 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 294.19/294.38 SPASS derived 238304 clauses, backtracked 0 clauses, performed 0 splits and kept 22015 clauses.
% 294.19/294.38 SPASS allocated 276141 KBytes.
% 294.19/294.38 SPASS spent 0:4:53.81 on the problem.
% 294.19/294.38 0:00:00.04 for the input.
% 294.19/294.38 0:00:00.00 for the FLOTTER CNF translation.
% 294.19/294.38 0:00:05.31 for inferences.
% 294.19/294.38 0:00:00.00 for the backtracking.
% 294.19/294.38 0:4:47.56 for the reduction.
% 294.19/294.38
% 294.19/294.38
% 294.19/294.38 Here is a proof with depth 85, length 140 :
% 294.19/294.38 % SZS output start Refutation
% 294.19/294.38 1[0:Inp] is_a_theorem(u) || is_a_theorem(or__dfg(not__dfg(u),v))* -> is_a_theorem(v).
% 294.19/294.38 2[0:Inp] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(w,or__dfg(x,y)))),or__dfg(not__dfg(or__dfg(not__dfg(x),u)),or__dfg(w,or__dfg(y,u)))))*.
% 294.19/294.38 3[0:Inp] || is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(b),c)),or__dfg(not__dfg(or__dfg(a,b)),or__dfg(a,c))))* -> .
% 294.19/294.38 7[0:Res:2.0,1.1] is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(w,or__dfg(x,y)))) || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(x),u)),or__dfg(w,or__dfg(y,u))))*.
% 294.19/294.38 8[0:SoR:7.0,2.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),or__dfg(not__dfg(v),w))),or__dfg(not__dfg(or__dfg(not__dfg(x),v)),or__dfg(or__dfg(y,v),or__dfg(not__dfg(v),w)))))*.
% 294.19/294.38 9[0:SoR:7.0,8.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(or__dfg(u,v)),w)),or__dfg(not__dfg(or__dfg(not__dfg(x),v)),or__dfg(or__dfg(not__dfg(v),y),w))))*.
% 294.19/294.38 11[0:SoR:7.0,9.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(w,u))),or__dfg(not__dfg(or__dfg(not__dfg(x),u)),or__dfg(y,or__dfg(w,u)))))*.
% 294.19/294.38 12[0:Res:9.0,1.1] is_a_theorem(or__dfg(not__dfg(or__dfg(u,v)),w)) || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(x),v)),or__dfg(or__dfg(not__dfg(v),y),w)))*.
% 294.19/294.38 15[0:SoR:12.0,2.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),or__dfg(v,or__dfg(w,x)))),or__dfg(or__dfg(not__dfg(or__dfg(v,or__dfg(w,x))),y),or__dfg(not__dfg(or__dfg(not__dfg(w),z)),or__dfg(v,or__dfg(x,z))))))*.
% 294.19/294.38 18[0:Res:11.0,1.1] is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(w,u))) || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(x),u)),or__dfg(y,or__dfg(w,u))))*.
% 294.19/294.38 19[0:SoR:18.0,9.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),or__dfg(or__dfg(not__dfg(v),w),v))),or__dfg(x,or__dfg(not__dfg(or__dfg(not__dfg(y),v)),or__dfg(or__dfg(not__dfg(v),w),v)))))*.
% 294.19/294.38 22[0:SoR:18.0,2.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),or__dfg(not__dfg(v),or__dfg(w,v)))),or__dfg(x,or__dfg(not__dfg(or__dfg(not__dfg(y),v)),or__dfg(not__dfg(v),or__dfg(w,v))))))*.
% 294.19/294.38 88[0:SoR:7.0,22.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(not__dfg(or__dfg(not__dfg(u),v))),w)),or__dfg(x,or__dfg(or__dfg(not__dfg(v),or__dfg(y,v)),w))))*.
% 294.19/294.38 92[0:Res:22.0,1.1] is_a_theorem(or__dfg(not__dfg(u),or__dfg(not__dfg(v),or__dfg(w,v)))) || -> is_a_theorem(or__dfg(x,or__dfg(not__dfg(or__dfg(not__dfg(y),v)),or__dfg(not__dfg(v),or__dfg(w,v)))))*.
% 294.19/294.38 99[0:Res:88.0,1.1] is_a_theorem(or__dfg(not__dfg(not__dfg(or__dfg(not__dfg(u),v))),w)) || -> is_a_theorem(or__dfg(x,or__dfg(or__dfg(not__dfg(v),or__dfg(y,v)),w)))*.
% 294.19/294.38 413[0:SoR:7.0,15.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(not__dfg(or__dfg(not__dfg(u),v))),w)),or__dfg(or__dfg(not__dfg(or__dfg(x,or__dfg(u,y))),z),or__dfg(or__dfg(x,or__dfg(y,v)),w))))*.
% 294.19/294.38 608[0:SoR:7.0,19.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(not__dfg(or__dfg(not__dfg(u),v))),w)),or__dfg(x,or__dfg(or__dfg(or__dfg(not__dfg(v),y),v),w))))*.
% 294.19/294.38 941[0:SoR:7.0,413.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(or__dfg(u,or__dfg(v,w))),not__dfg(or__dfg(not__dfg(x),w)))),or__dfg(or__dfg(not__dfg(or__dfg(u,or__dfg(x,v))),y),or__dfg(z,not__dfg(or__dfg(not__dfg(x),w))))))*.
% 294.19/294.38 1317[0:SoR:92.0,608.0] || -> is_a_theorem(or__dfg(u,or__dfg(not__dfg(or__dfg(not__dfg(v),w)),or__dfg(not__dfg(w),or__dfg(or__dfg(or__dfg(not__dfg(x),y),x),w)))))*.
% 294.19/294.38 1321[0:SoR:92.0,88.0] || -> is_a_theorem(or__dfg(u,or__dfg(not__dfg(or__dfg(not__dfg(v),w)),or__dfg(not__dfg(w),or__dfg(or__dfg(not__dfg(x),or__dfg(y,x)),w)))))*.
% 294.19/294.38 1365[0:Res:1321.0,1.1] is_a_theorem(u) || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(v),w)),or__dfg(not__dfg(w),or__dfg(or__dfg(not__dfg(x),or__dfg(y,x)),w))))*.
% 294.19/294.38 1426[0:EmS:1365.0,1317.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(not__dfg(v),or__dfg(or__dfg(not__dfg(w),or__dfg(x,w)),v))))*.
% 294.19/294.38 1529[0:SoR:7.0,1426.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(or__dfg(not__dfg(u),or__dfg(v,u))),w)),or__dfg(not__dfg(x),or__dfg(x,w))))*.
% 294.19/294.38 1565[0:SoR:92.0,1529.0] || -> is_a_theorem(or__dfg(u,or__dfg(not__dfg(or__dfg(not__dfg(v),w)),or__dfg(not__dfg(w),or__dfg(w,w)))))*.
% 294.19/294.38 1628[0:Res:1565.0,1.1] is_a_theorem(u) || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(v),w)),or__dfg(not__dfg(w),or__dfg(w,w))))*.
% 294.19/294.38 1629[0:EmS:1628.0,1565.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(not__dfg(v),or__dfg(v,v))))*.
% 294.19/294.38 1737[0:SoR:7.0,1629.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(not__dfg(u),or__dfg(u,v))))*.
% 294.19/294.38 1764[0:SoR:7.0,1737.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),u)),or__dfg(not__dfg(u),or__dfg(v,u))))*.
% 294.19/294.38 1892[0:SoR:92.0,1764.0] || -> is_a_theorem(or__dfg(u,or__dfg(not__dfg(or__dfg(not__dfg(v),w)),or__dfg(not__dfg(w),or__dfg(x,w)))))*.
% 294.19/294.38 2066[0:Res:1892.0,1.1] is_a_theorem(u) || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(v),w)),or__dfg(not__dfg(w),or__dfg(x,w))))*.
% 294.19/294.38 2067[0:EmS:2066.0,1892.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(not__dfg(v),or__dfg(w,v))))*.
% 294.19/294.38 2178[0:SoR:7.0,2067.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(not__dfg(w),or__dfg(w,v))))*.
% 294.19/294.38 2182[0:SoR:18.0,2067.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),or__dfg(v,w))),or__dfg(x,or__dfg(not__dfg(w),or__dfg(v,w)))))*.
% 294.19/294.38 2228[0:SoR:7.0,2178.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(not__dfg(u),or__dfg(w,v))))*.
% 294.19/294.38 2239[0:Res:2178.0,1.1] is_a_theorem(or__dfg(not__dfg(u),v)) || -> is_a_theorem(or__dfg(not__dfg(w),or__dfg(w,v)))*.
% 294.19/294.38 2330[0:Res:2228.0,1.1] is_a_theorem(or__dfg(not__dfg(u),v)) || -> is_a_theorem(or__dfg(not__dfg(u),or__dfg(w,v)))*.
% 294.19/294.38 2489[0:SoR:2330.0,2228.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(w,or__dfg(not__dfg(u),or__dfg(x,v)))))*.
% 294.19/294.38 2490[0:SoR:2330.0,2178.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(w,or__dfg(not__dfg(x),or__dfg(x,v)))))*.
% 294.19/294.38 2492[0:SoR:2330.0,2067.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(w,or__dfg(not__dfg(v),or__dfg(x,v)))))*.
% 294.19/294.38 3024[0:Res:2489.0,1.1] is_a_theorem(or__dfg(not__dfg(u),v)) || -> is_a_theorem(or__dfg(w,or__dfg(not__dfg(u),or__dfg(x,v))))*.
% 294.19/294.38 3069[0:SoR:7.0,2490.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(not__dfg(u)),v)),or__dfg(w,or__dfg(or__dfg(u,x),v))))*.
% 294.19/294.38 3100[0:SoR:7.0,2492.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(not__dfg(u)),v)),or__dfg(w,or__dfg(or__dfg(x,u),v))))*.
% 294.19/294.38 3399[0:Res:3069.0,1.1] is_a_theorem(or__dfg(not__dfg(not__dfg(u)),v)) || -> is_a_theorem(or__dfg(w,or__dfg(or__dfg(u,x),v)))*.
% 294.19/294.38 3565[0:SoR:7.0,3100.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(or__dfg(u,v)),not__dfg(v))),or__dfg(w,or__dfg(x,not__dfg(v)))))*.
% 294.19/294.38 3575[0:Res:3100.0,1.1] is_a_theorem(or__dfg(not__dfg(not__dfg(u)),v)) || -> is_a_theorem(or__dfg(w,or__dfg(or__dfg(x,u),v)))*.
% 294.19/294.38 6574[0:Res:2182.0,1.1] is_a_theorem(or__dfg(not__dfg(u),or__dfg(v,w))) || -> is_a_theorem(or__dfg(x,or__dfg(not__dfg(w),or__dfg(v,w))))*.
% 294.19/294.38 7903[0:SoR:6574.0,3565.0] || -> is_a_theorem(or__dfg(u,or__dfg(not__dfg(or__dfg(v,not__dfg(w))),or__dfg(x,or__dfg(v,not__dfg(w))))))*.
% 294.19/294.38 8099[0:Res:7903.0,1.1] is_a_theorem(u) || -> is_a_theorem(or__dfg(not__dfg(or__dfg(v,not__dfg(w))),or__dfg(x,or__dfg(v,not__dfg(w)))))*.
% 294.19/294.38 8785[0:EmS:8099.0,941.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(u,not__dfg(v))),or__dfg(w,or__dfg(u,not__dfg(v)))))*.
% 294.19/294.38 8945[0:SoR:7.0,8785.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(not__dfg(u)),u)),or__dfg(v,or__dfg(not__dfg(w),u))))*.
% 294.19/294.38 9021[0:SoR:6574.0,8945.0] || -> is_a_theorem(or__dfg(u,or__dfg(not__dfg(or__dfg(not__dfg(v),w)),or__dfg(x,or__dfg(not__dfg(v),w)))))*.
% 294.19/294.38 9619[0:Res:9021.0,1.1] is_a_theorem(u) || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(v),w)),or__dfg(x,or__dfg(not__dfg(v),w))))*.
% 294.19/294.38 10057[0:EmS:9619.0,9021.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(w,or__dfg(not__dfg(u),v))))*.
% 294.19/294.38 10319[0:SoR:7.0,10057.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(not__dfg(u)),u)),or__dfg(v,or__dfg(w,u))))*.
% 294.19/294.38 10353[0:SoR:7.0,10319.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),not__dfg(v))),or__dfg(w,or__dfg(v,not__dfg(v)))))*.
% 294.19/294.38 10360[0:SoR:6574.0,10319.0] || -> is_a_theorem(or__dfg(u,or__dfg(not__dfg(or__dfg(v,w)),or__dfg(x,or__dfg(v,w)))))*.
% 294.19/294.38 10767[0:Res:10360.0,1.1] is_a_theorem(u) || -> is_a_theorem(or__dfg(not__dfg(or__dfg(v,w)),or__dfg(x,or__dfg(v,w))))*.
% 294.19/294.38 10901[0:Res:10353.0,1.1] is_a_theorem(or__dfg(not__dfg(u),not__dfg(v))) || -> is_a_theorem(or__dfg(w,or__dfg(v,not__dfg(v))))*.
% 294.19/294.38 10937[0:EmS:10767.0,10360.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(u,v)),or__dfg(w,or__dfg(u,v))))*.
% 294.19/294.38 11035[0:SoR:2330.0,10937.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(u,v)),or__dfg(w,or__dfg(x,or__dfg(u,v)))))*.
% 294.19/294.38 11211[0:SoR:7.0,11035.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(w,or__dfg(or__dfg(not__dfg(v),x),v))))*.
% 294.19/294.38 11555[0:SoR:7.0,11211.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),w)),or__dfg(x,or__dfg(u,w))))*.
% 294.19/294.38 11570[0:Res:11211.0,1.1] is_a_theorem(or__dfg(not__dfg(u),v)) || -> is_a_theorem(or__dfg(w,or__dfg(or__dfg(not__dfg(v),x),v)))*.
% 294.19/294.38 11646[0:Res:11555.0,1.1] is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),w)) || -> is_a_theorem(or__dfg(x,or__dfg(u,w)))*.
% 294.19/294.38 11740[0:SoR:11646.0,10937.0] || -> is_a_theorem(or__dfg(u,or__dfg(v,or__dfg(w,or__dfg(not__dfg(v),x)))))*.
% 294.19/294.38 11747[0:SoR:11646.0,10319.0] || -> is_a_theorem(or__dfg(u,or__dfg(not__dfg(v),or__dfg(w,or__dfg(x,v)))))*.
% 294.19/294.38 11759[0:SoR:11646.0,11555.0] || -> is_a_theorem(or__dfg(u,or__dfg(or__dfg(not__dfg(v),w),or__dfg(x,or__dfg(v,y)))))*.
% 294.19/294.38 11788[0:SoR:11646.0,2067.0] || -> is_a_theorem(or__dfg(u,or__dfg(v,or__dfg(not__dfg(w),or__dfg(x,w)))))*.
% 294.19/294.38 11866[0:Res:11740.0,1.1] is_a_theorem(u) || -> is_a_theorem(or__dfg(v,or__dfg(w,or__dfg(not__dfg(v),x))))*.
% 294.19/294.38 11974[0:SoR:7.0,11747.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(not__dfg(w),or__dfg(or__dfg(x,w),v))))*.
% 294.19/294.38 12199[0:EmS:11866.0,11788.0] || -> is_a_theorem(or__dfg(u,or__dfg(v,or__dfg(not__dfg(u),w))))*.
% 294.19/294.38 12330[0:Res:12199.0,1.1] is_a_theorem(u) || -> is_a_theorem(or__dfg(v,or__dfg(not__dfg(not__dfg(u)),w)))*.
% 294.19/294.38 12380[0:Res:12330.1,1.1] is_a_theorem(u) is_a_theorem(v) || -> is_a_theorem(or__dfg(not__dfg(not__dfg(u)),w))*.
% 294.19/294.38 12381[0:Con:12380.1] is_a_theorem(u) || -> is_a_theorem(or__dfg(not__dfg(not__dfg(u)),v))*.
% 294.19/294.38 12414[0:SoR:11570.0,12381.1] is_a_theorem(u) || -> is_a_theorem(or__dfg(v,or__dfg(or__dfg(not__dfg(w),x),w)))*.
% 294.19/294.38 12420[0:SoR:2239.0,12381.1] is_a_theorem(u) || -> is_a_theorem(or__dfg(not__dfg(v),or__dfg(v,w)))*.
% 294.19/294.38 12431[0:SoR:10901.0,12381.1] is_a_theorem(u) || -> is_a_theorem(or__dfg(v,or__dfg(w,not__dfg(w))))*.
% 294.19/294.38 12544[0:EmS:12420.0,12199.0] || -> is_a_theorem(or__dfg(not__dfg(u),or__dfg(u,v)))*.
% 294.19/294.38 12650[0:SoR:2330.0,12544.0] || -> is_a_theorem(or__dfg(not__dfg(u),or__dfg(v,or__dfg(u,w))))*.
% 294.19/294.38 12751[0:SoR:7.0,12650.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),u)),or__dfg(w,or__dfg(x,u))))*.
% 294.19/294.38 12985[0:EmS:12431.0,12199.0] || -> is_a_theorem(or__dfg(u,or__dfg(v,not__dfg(v))))*.
% 294.19/294.38 13100[0:Res:12985.0,1.1] is_a_theorem(u) || -> is_a_theorem(or__dfg(v,not__dfg(v)))*.
% 294.19/294.38 13103[0:EmS:13100.0,12985.0] || -> is_a_theorem(or__dfg(u,not__dfg(u)))*.
% 294.19/294.38 13219[0:SoR:3024.0,13103.0] || -> is_a_theorem(or__dfg(u,or__dfg(not__dfg(v),or__dfg(w,not__dfg(not__dfg(v))))))*.
% 294.19/294.38 13224[0:SoR:11646.0,13103.0] || -> is_a_theorem(or__dfg(u,or__dfg(v,not__dfg(not__dfg(or__dfg(not__dfg(v),w))))))*.
% 294.19/294.38 13240[0:SoR:3575.0,13103.0] || -> is_a_theorem(or__dfg(u,or__dfg(or__dfg(v,w),not__dfg(not__dfg(not__dfg(w))))))*.
% 294.19/294.38 13241[0:SoR:3399.0,13103.0] || -> is_a_theorem(or__dfg(u,or__dfg(or__dfg(v,w),not__dfg(not__dfg(not__dfg(v))))))*.
% 294.19/294.38 13367[0:SoR:7.0,13219.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(not__dfg(w),or__dfg(not__dfg(not__dfg(w)),v))))*.
% 294.19/294.38 13425[0:Res:13224.0,1.1] is_a_theorem(u) || -> is_a_theorem(or__dfg(v,not__dfg(not__dfg(or__dfg(not__dfg(v),w)))))*.
% 294.19/294.38 13467[0:Res:13240.0,1.1] is_a_theorem(u) || -> is_a_theorem(or__dfg(or__dfg(v,w),not__dfg(not__dfg(not__dfg(w)))))*.
% 294.19/294.38 13496[0:Res:13241.0,1.1] is_a_theorem(u) || -> is_a_theorem(or__dfg(or__dfg(v,w),not__dfg(not__dfg(not__dfg(v)))))*.
% 294.19/294.38 14154[0:EmS:13425.0,13103.0] || -> is_a_theorem(or__dfg(u,not__dfg(not__dfg(or__dfg(not__dfg(u),v)))))*.
% 294.19/294.38 14306[0:EmS:13467.0,14154.0] || -> is_a_theorem(or__dfg(or__dfg(u,v),not__dfg(not__dfg(not__dfg(v)))))*.
% 294.19/294.38 14412[0:EmS:13496.0,14306.0] || -> is_a_theorem(or__dfg(or__dfg(u,v),not__dfg(not__dfg(not__dfg(u)))))*.
% 294.19/294.38 15158[0:EmS:12414.0,14412.0] || -> is_a_theorem(or__dfg(u,or__dfg(or__dfg(not__dfg(v),w),v)))*.
% 294.19/294.38 15395[0:Res:15158.0,1.1] is_a_theorem(u) || -> is_a_theorem(or__dfg(or__dfg(not__dfg(v),w),v))*.
% 294.19/294.38 15398[0:EmS:15395.0,14412.0] || -> is_a_theorem(or__dfg(or__dfg(not__dfg(u),v),u))*.
% 294.19/294.38 17361[0:Res:11759.0,1.1] is_a_theorem(u) || -> is_a_theorem(or__dfg(or__dfg(not__dfg(v),w),or__dfg(x,or__dfg(v,y))))*.
% 294.19/294.38 19178[0:EmS:17361.0,15398.0] || -> is_a_theorem(or__dfg(or__dfg(not__dfg(u),v),or__dfg(w,or__dfg(u,x))))*.
% 294.19/294.38 20982[0:SoR:11646.0,13367.0] || -> is_a_theorem(or__dfg(u,or__dfg(v,or__dfg(not__dfg(w),or__dfg(not__dfg(not__dfg(w)),x)))))*.
% 294.19/294.38 21032[0:Res:20982.0,1.1] is_a_theorem(u) || -> is_a_theorem(or__dfg(v,or__dfg(not__dfg(w),or__dfg(not__dfg(not__dfg(w)),x))))*.
% 294.19/294.38 21102[0:EmS:21032.0,19178.0] || -> is_a_theorem(or__dfg(u,or__dfg(not__dfg(v),or__dfg(not__dfg(not__dfg(v)),w))))*.
% 294.19/294.38 21326[0:Res:21102.0,1.1] is_a_theorem(u) || -> is_a_theorem(or__dfg(not__dfg(v),or__dfg(not__dfg(not__dfg(v)),w)))*.
% 294.19/294.38 21330[0:EmS:21326.0,19178.0] || -> is_a_theorem(or__dfg(not__dfg(u),or__dfg(not__dfg(not__dfg(u)),v)))*.
% 294.19/294.38 21524[0:SoR:11646.0,21330.0] || -> is_a_theorem(or__dfg(u,or__dfg(v,or__dfg(not__dfg(not__dfg(or__dfg(not__dfg(v),w))),x))))*.
% 294.19/294.38 21714[0:Res:21524.0,1.1] is_a_theorem(u) || -> is_a_theorem(or__dfg(v,or__dfg(not__dfg(not__dfg(or__dfg(not__dfg(v),w))),x)))*.
% 294.19/294.38 21796[0:EmS:21714.0,19178.0] || -> is_a_theorem(or__dfg(u,or__dfg(not__dfg(not__dfg(or__dfg(not__dfg(u),v))),w)))*.
% 294.19/294.38 22039[0:Res:21796.0,1.1] is_a_theorem(u) || -> is_a_theorem(or__dfg(not__dfg(not__dfg(or__dfg(not__dfg(not__dfg(u)),v))),w))*.
% 294.19/294.38 22047[0:SoR:99.0,22039.1] is_a_theorem(u) || -> is_a_theorem(or__dfg(v,or__dfg(or__dfg(not__dfg(w),or__dfg(x,w)),y)))*.
% 294.19/294.38 23039[0:EmS:22047.0,19178.0] || -> is_a_theorem(or__dfg(u,or__dfg(or__dfg(not__dfg(v),or__dfg(w,v)),x)))*.
% 294.19/294.38 23375[0:Res:23039.0,1.1] is_a_theorem(u) || -> is_a_theorem(or__dfg(or__dfg(not__dfg(v),or__dfg(w,v)),x))*.
% 294.19/294.38 23379[0:EmS:23375.0,19178.0] || -> is_a_theorem(or__dfg(or__dfg(not__dfg(u),or__dfg(v,u)),w))*.
% 294.19/294.38 26279[0:SoR:7.0,11974.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(or__dfg(u,v)),w)),or__dfg(not__dfg(v),or__dfg(x,w))))*.
% 294.19/294.38 29400[0:Res:12751.0,1.1] is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),u)) || -> is_a_theorem(or__dfg(w,or__dfg(x,u)))*.
% 294.19/294.38 35108[0:SoR:29400.0,26279.0] || -> is_a_theorem(or__dfg(u,or__dfg(v,or__dfg(not__dfg(or__dfg(w,x)),or__dfg(w,x)))))*.
% 294.19/294.38 37508[0:Res:35108.0,1.1] is_a_theorem(u) || -> is_a_theorem(or__dfg(v,or__dfg(not__dfg(or__dfg(w,x)),or__dfg(w,x))))*.
% 294.19/294.38 37973[0:EmS:37508.0,23379.0] || -> is_a_theorem(or__dfg(u,or__dfg(not__dfg(or__dfg(v,w)),or__dfg(v,w))))*.
% 294.19/294.38 38301[0:SoR:7.0,37973.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(not__dfg(or__dfg(u,w)),or__dfg(w,v))))*.
% 294.19/294.38 38335[0:Res:37973.0,1.1] is_a_theorem(u) || -> is_a_theorem(or__dfg(not__dfg(or__dfg(v,w)),or__dfg(v,w)))*.
% 294.19/294.38 38505[0:EmS:38335.0,23379.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(u,v)),or__dfg(u,v)))*.
% 294.19/294.38 38839[0:SoR:18.0,38505.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(w,or__dfg(not__dfg(v),v))))*.
% 294.19/294.38 38863[0:SoR:7.0,38839.0] || -> is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(not__dfg(u)),v)),or__dfg(w,or__Cputime limit exceeded (core dumped)
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