0.04/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.04/0.14	% Command    : run_vampire %s %d
0.15/0.36	% Computer   : n021.cluster.edu
0.15/0.36	% Model      : x86_64 x86_64
0.15/0.36	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.15/0.36	% Memory     : 8042.1875MB
0.15/0.36	% OS         : Linux 3.10.0-693.el7.x86_64
0.15/0.36	% CPULimit   : 960
0.15/0.36	% WCLimit    : 120
0.15/0.36	% DateTime   : Thu Jul  2 08:54:43 EDT 2020
0.15/0.36	% CPUTime    : 
0.23/0.40	% (19193)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_2 on theBenchmark
0.23/0.40	% (19204)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on_2 on theBenchmark
0.23/0.40	% (19211)ott+11_20_afr=on:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=sco:anc=all:bsr=on:irw=on:lma=on:nm=4:nwc=1.2:sac=on:sp=occurrence_6 on theBenchmark
0.23/0.41	% (19195)lrs+1011_8_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_3 on theBenchmark
0.23/0.41	% (19215)dis+10_4_av=off:bsr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:cond=fast:er=filter:fde=none:gsp=input_only:lcm=reverse:lma=on:nwc=4:sp=occurrence:urr=on_8 on theBenchmark
0.23/0.41	% (19196)dis+10_128_acc=on:add=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_2 on theBenchmark
0.23/0.41	% (19197)lrs+1010_8_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark
0.23/0.41	% (19198)ott+1002_8:1_add=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:bs=unit_only:fsr=off:gs=on:gsem=off:nm=32:nwc=10:sp=occurrence:urr=on:updr=off_14 on theBenchmark
0.23/0.41	% (19194)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_2 on theBenchmark
0.23/0.41	% (19207)lrs+1002_1_av=off:er=filter:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:fsr=off:gs=on:gsem=off:irw=on:lma=on:nm=4:nwc=1:stl=30:sd=3:ss=axioms:st=1.5:sos=on_1 on theBenchmark
0.23/0.42	% (19199)lrs+1011_5:1_acc=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off_3 on theBenchmark
0.23/0.42	% (19219)lrs+1_4_afp=100000:afq=1.2:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:anc=none:bd=off:cond=on:gs=on:gsem=off:nm=64:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:updr=off_300 on theBenchmark
0.23/0.43	% (19209)lrs+1010_3:2_afr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:anc=none:gsp=input_only:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1.7:sac=on:sp=occurrence_300 on theBenchmark
0.23/0.43	% (19221)dis+1002_4_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=1.0:anc=none:cond=fast:fde=none:gs=on:gsaa=full_model:lma=on:lwlo=on:nm=0:nwc=1.5:sp=reverse_arity:tha=off_300 on theBenchmark
0.23/0.43	% (19220)lrs-11_4:1_afp=4000:csup=on:inj=on:mXXn=1:foolp=on:e2e=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_186 on theBenchmark
0.23/0.43	% (19218)lrs+1010_8_add=off:afp=100000:csup=on:inj=off:foolp=on:chr=off:e2e=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark
0.23/0.43	% (19217)lrs+1011_5_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=1000:afq=1.2:anc=none:fsr=off:irw=on:lma=on:nm=64:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:sp=reverse_arity:urr=on:updr=off_130 on theBenchmark
0.23/0.43	% (19208)ott+2_2_afp=10000:afq=1.4:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=off:anc=none:gsp=input_only:gs=on:gsem=off:irw=on:lcm=predicate:nm=32:nwc=1.5:sos=on:sp=reverse_arity_7 on theBenchmark
0.23/0.44	% (19222)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:e2e=on:prag=on:foolp=on:cnfonf=eager:afq=1.0:fde=all:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on_50 on theBenchmark
0.23/0.45	% (19200)lrs+4_3_av=off:br=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on_32 on theBenchmark
0.23/0.45	% (19212)dis+1002_3:1_acc=model:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=40000:afq=1.1:anc=none:ccuc=first:fsr=off:gsp=input_only:irw=on:nm=16:nwc=1:sos=all_8 on theBenchmark
0.23/0.45	% (19213)lrs+10_12_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.4:amm=sco:anc=none:cond=on:lma=on:nm=64:nwc=1.3:stl=30:sac=on:urr=on_41 on theBenchmark
0.23/0.45	% (19210)lrs+1011_5:1_acc=on:csup=on:inj=on:e2e=on:prag=on:foolp=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off_30 on theBenchmark
0.23/0.45	% (19202)dis+1_2:3_acc=on:add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=2.0:amm=sco:anc=none:er=filter:fsr=off:gsp=input_only:gs=on:gsem=off:nm=64:newcnf=on:nwc=1_3 on theBenchmark
0.23/0.45	% (19214)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=lazy_gen:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_30 on theBenchmark
0.23/0.45	% (19206)lrs+1010_3_av=off:fsr=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gs=on:gsem=off:nm=2:newcnf=on:nwc=2:stl=30:sp=reverse_arity:urr=on:updr=off_9 on theBenchmark
0.23/0.45	% (19205)dis+1002_6_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off_2 on theBenchmark
0.23/0.45	% (19203)dis+10_128_acc=on:add=off:add=off:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_40 on theBenchmark
0.23/0.45	% (19201)dis+1010_3:2_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark
0.23/0.45	% (19216)lrs+1002_1_add=large:csup=on:inj=on:fe=off:chr=on:foolp=on:cnfonf=eager:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off_50 on theBenchmark
3.12/0.80	% (19207)Time limit reached!
3.12/0.80	% (19207)------------------------------
3.12/0.80	% (19207)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
3.12/0.80	% (19207)Termination reason: Time limit
3.12/0.80	% (19207)Termination phase: Saturation
3.12/0.80	
3.12/0.80	% (19207)Memory used [KB]: 9210
3.12/0.80	% (19207)Time elapsed: 0.400 s
3.12/0.80	% (19207)------------------------------
3.12/0.80	% (19207)------------------------------
3.53/0.84	% (19224)dis+1011_10_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=4000:afq=1.0:amm=off:anc=none:lma=on:nm=64:nwc=4:sac=on:sp=occurrence_75 on theBenchmark
3.80/0.88	% (19204)Time limit reached!
3.80/0.88	% (19204)------------------------------
3.80/0.88	% (19204)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
3.80/0.88	% (19204)Termination reason: Time limit
3.80/0.88	% (19204)Termination phase: Saturation
3.80/0.88	
3.80/0.88	% (19204)Memory used [KB]: 12792
3.80/0.88	% (19204)Time elapsed: 0.500 s
3.80/0.88	% (19204)------------------------------
3.80/0.88	% (19204)------------------------------
3.80/0.89	% (19196)Time limit reached!
3.80/0.89	% (19196)------------------------------
3.80/0.89	% (19196)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
3.80/0.89	% (19196)Termination reason: Time limit
3.80/0.89	% (19196)Termination phase: Saturation
3.80/0.89	
3.80/0.89	% (19196)Memory used [KB]: 13688
3.80/0.89	% (19196)Time elapsed: 0.500 s
3.80/0.89	% (19196)------------------------------
3.80/0.89	% (19196)------------------------------
3.80/0.89	% (19194)Time limit reached!
3.80/0.89	% (19194)------------------------------
3.80/0.89	% (19194)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
3.80/0.89	% (19194)Termination reason: Time limit
3.80/0.89	
3.80/0.89	% (19194)Memory used [KB]: 12792
3.80/0.89	% (19194)Time elapsed: 0.505 s
3.80/0.89	% (19194)------------------------------
3.80/0.89	% (19194)------------------------------
3.80/0.90	% (19205)Time limit reached!
3.80/0.90	% (19205)------------------------------
3.80/0.90	% (19205)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
3.80/0.90	% (19205)Termination reason: Time limit
3.80/0.90	% (19205)Termination phase: Saturation
3.80/0.90	
3.80/0.90	% (19205)Memory used [KB]: 8315
3.80/0.90	% (19205)Time elapsed: 0.516 s
3.80/0.90	% (19205)------------------------------
3.80/0.90	% (19205)------------------------------
3.80/0.91	% (19193)Time limit reached!
3.80/0.91	% (19193)------------------------------
3.80/0.91	% (19193)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
3.80/0.91	% (19193)Termination reason: Time limit
3.80/0.91	
3.80/0.91	% (19193)Memory used [KB]: 1663
3.80/0.91	% (19193)Time elapsed: 0.526 s
3.80/0.91	% (19193)------------------------------
3.80/0.91	% (19193)------------------------------
4.40/0.93	% (19225)dis+1010_3:2_av=off:csup=on:prag=on:chr=on:foolp=on:bet=on:cnfonf=lazy_not_be_gen:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark
4.40/0.94	% (19226)lrs+1011_8_add=large:csup=on:inj=on:prag=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_26 on theBenchmark
4.40/0.95	% (19227)lrs+1011_8_add=large:csup=on:fe=off:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_30 on theBenchmark
4.40/0.96	% (19228)dis+1002_4_add=large:csup=on:narr=off:inj=on:prag=on:cbe=off:foolp=on:cnfonf=eager:afp=40000:afq=1.0:anc=none:cond=fast:fde=none:gs=on:gsaa=full_model:lma=on:lwlo=on:nm=0:nwc=1.5:sp=reverse_arity_27 on theBenchmark
4.40/0.97	% (19229)dis+1_3_add=large:afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:anc=none:gs=on:gsem=off:inw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:sos=all:sac=on:uwa=all:updr=off:uhcvi=on_125 on theBenchmark
4.67/1.00	% (19199)Time limit reached!
4.67/1.00	% (19199)------------------------------
4.67/1.00	% (19199)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
4.67/1.00	% (19199)Termination reason: Time limit
4.67/1.00	
4.67/1.00	% (19199)Memory used [KB]: 13944
4.67/1.00	% (19199)Time elapsed: 0.604 s
4.67/1.00	% (19199)------------------------------
4.67/1.00	% (19199)------------------------------
4.67/1.00	% (19202)Time limit reached!
4.67/1.00	% (19202)------------------------------
4.67/1.00	% (19202)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
4.67/1.00	% (19202)Termination reason: Time limit
4.67/1.00	% (19202)Termination phase: Saturation
4.67/1.00	
4.67/1.00	% (19202)Memory used [KB]: 14072
4.67/1.00	% (19202)Time elapsed: 0.600 s
4.67/1.00	% (19202)------------------------------
4.67/1.00	% (19202)------------------------------
5.12/1.05	% (19230)dis+1010_3:1_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:nm=32:nwc=1:sos=all:urr=ec_only:updr=off_77 on theBenchmark
5.12/1.06	% (19195)Time limit reached!
5.12/1.06	% (19195)------------------------------
5.12/1.06	% (19195)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
5.12/1.06	% (19195)Termination reason: Time limit
5.12/1.06	% (19195)Termination phase: Saturation
5.12/1.06	
5.12/1.06	% (19195)Memory used [KB]: 13560
5.12/1.06	% (19195)Time elapsed: 0.600 s
5.12/1.06	% (19195)------------------------------
5.12/1.06	% (19195)------------------------------
5.12/1.06	% (19231)lrs+1011_5:4_acc=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:add=large:afr=on:afp=10000:afq=2.0:amm=sco:anc=none:bsr=on:ccuc=first:cond=on:fde=unused:gs=on:gsaa=from_current:gsem=off:irw=on:nm=2:newcnf=on:nwc=1.2:stl=30:sos=on:sac=on:sp=reverse_arity:updr=off_126 on theBenchmark
5.12/1.07	% (19232)lrs+1002_1_add=large:csup=on:narr=off:inj=on:fe=off:chr=on:foolp=on:cnfonf=eager:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off_50 on theBenchmark
7.04/1.33	% (19211)Time limit reached!
7.04/1.33	% (19211)------------------------------
7.04/1.33	% (19211)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
7.04/1.33	% (19211)Termination reason: Time limit
7.04/1.33	% (19211)Termination phase: Saturation
7.04/1.33	
7.04/1.33	% (19211)Memory used [KB]: 12153
7.04/1.33	% (19211)Time elapsed: 0.900 s
7.04/1.33	% (19211)------------------------------
7.04/1.33	% (19211)------------------------------
7.56/1.36	% (19233)lrs-3_4:1_afp=1000:afq=1.4:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=sco:fde=none:gs=on:lcm=reverse:lma=on:nwc=1.5:stl=30:sd=1:ss=axioms:sp=reverse_arity:urr=on:updr=off:uhcvi=on_11 on theBenchmark
7.84/1.40	% (19208)Time limit reached!
7.84/1.40	% (19208)------------------------------
7.84/1.40	% (19208)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
7.84/1.40	% (19208)Termination reason: Time limit
7.84/1.40	
7.84/1.40	% (19208)Memory used [KB]: 17654
7.84/1.40	% (19208)Time elapsed: 1.017 s
7.84/1.40	% (19208)------------------------------
7.84/1.40	% (19208)------------------------------
7.84/1.43	% (19234)ott+11_2:1_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=2.0:amm=sco:anc=none:br=off:cond=on:irw=on:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:urr=on:updr=off_9 on theBenchmark
8.59/1.51	% (19215)Time limit reached!
8.59/1.51	% (19215)------------------------------
8.59/1.51	% (19215)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
8.59/1.51	% (19215)Termination reason: Time limit
8.59/1.51	
8.59/1.51	% (19215)Memory used [KB]: 7164
8.59/1.51	% (19215)Time elapsed: 1.115 s
8.59/1.51	% (19215)------------------------------
8.59/1.51	% (19215)------------------------------
8.59/1.51	% (19206)Time limit reached!
8.59/1.51	% (19206)------------------------------
8.59/1.51	% (19206)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
8.59/1.51	% (19206)Termination reason: Time limit
8.59/1.51	
8.59/1.51	% (19206)Memory used [KB]: 15095
8.59/1.51	% (19206)Time elapsed: 1.110 s
8.59/1.51	% (19206)------------------------------
8.59/1.51	% (19206)------------------------------
9.13/1.54	% (19212)Time limit reached!
9.13/1.54	% (19212)------------------------------
9.13/1.54	% (19212)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
9.13/1.54	% (19212)Termination reason: Time limit
9.13/1.54	
9.13/1.54	% (19212)Memory used [KB]: 10746
9.13/1.54	% (19212)Time elapsed: 1.156 s
9.13/1.54	% (19212)------------------------------
9.13/1.54	% (19212)------------------------------
9.13/1.55	% (19236)lrs+1011_2:1_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lwlo=on:nm=16:newcnf=on:nwc=2:sd=4:ss=axioms:st=3.0:sp=occurrence_300 on theBenchmark
9.13/1.56	% (19235)lrs+1011_8_add=large:csup=off:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_13 on theBenchmark
9.34/1.59	% (19237)dis+1011_4_av=off:cond=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=2:nwc=1:sos=all:sp=occurrence_5 on theBenchmark
10.29/1.68	% (19221)Refutation found. Thanks to Tanya!
10.29/1.68	% SZS status Theorem for theBenchmark
10.29/1.68	% SZS output start Proof for theBenchmark
10.29/1.68	tff(func_def_0, type, a: '$tType').
10.29/1.68	tff(func_def_4, type, t: a).
10.29/1.68	tff(func_def_5, type, ->: ('$tType' * '$tType') > '$tType').
10.29/1.68	tff(func_def_6, type, cA: (a -> '$o') -> '$o').
10.29/1.68	tff(func_def_7, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1).
10.29/1.68	tff(func_def_8, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0).
10.29/1.68	tff(func_def_11, type, vOR: '$o' -> '$o' -> '$o').
10.29/1.68	tff(func_def_12, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o').
10.29/1.68	tff(func_def_13, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
10.29/1.68	tff(func_def_14, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
10.29/1.68	tff(func_def_15, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1).
10.29/1.68	tff(func_def_16, type, sK0: a -> '$o').
10.29/1.68	tff(func_def_17, type, sK1: (a -> '$o') -> (a -> '$o') -> '$o').
10.29/1.68	tff(func_def_18, type, sK2: (a -> '$o') -> a -> '$o').
10.29/1.68	tff(func_def_19, type, sK3: (a -> '$o') -> a).
10.29/1.68	tff(func_def_20, type, sK4: a -> '$o').
10.29/1.68	tff(func_def_22, type, vAND: '$o' -> '$o' -> '$o').
10.29/1.68	tff(func_def_23, type, vIMP: '$o' -> '$o' -> '$o').
10.29/1.68	tff(func_def_24, type, vNOT: '$o' -> '$o').
10.29/1.68	tff(func_def_25, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2).
10.29/1.68	tff(func_def_26, type, iCOMB: !>[X2: $ttype]:X2 -> X2).
10.29/1.68	tff(func_def_27, type, sK6: a).
10.29/1.68	tff(func_def_28, type, sK7: a -> a -> a).
10.29/1.68	tff(func_def_29, type, sK8: a -> a -> a).
10.29/1.68	tff(func_def_30, type, sK9: a -> a).
10.29/1.68	tff(func_def_31, type, sK10: a -> a).
10.29/1.68	tff(func_def_32, type, sK11: a -> a).
10.29/1.68	tff(func_def_33, type, sK12: a -> a -> a).
10.29/1.68	tff(func_def_34, type, sK13: a -> a -> a).
10.29/1.68	tff(func_def_35, type, sK14: a -> a -> a).
10.29/1.68	tff(func_def_36, type, sK15: a -> a -> a).
10.29/1.68	tff(func_def_37, type, sK16: a -> a -> a).
10.29/1.68	tff(func_def_38, type, sK17: a -> a -> a).
10.29/1.68	tff(f1,conjecture,(
10.29/1.68	  ! [X0 : a -> '$o'] : ((X0 @ t & cA @ X0) => ? [X1 : a -> '$o'] : (! [X4 : (a -> '$o') -> '$o'] : ((X4 @ (^[X3 : a] : $false) & ! [X2 : a -> '$o'] : (X4 @ X2 => ! [X5 : a] : (X1 @ X5 => X4 @ (^[X6 : a] : X5 = X6 | X2 @ X6)))) => X4 @ X1) & ! [X3 : a -> '$o'] : ((cA @ X3 & ! [X2 : a] : (X1 @ X2 => X3 @ X2)) => (cA @ X3 & X3 @ t)) & ! [X2 : a] : (X1 @ X2 => X0 @ X2))) & ! [X0 : a -> '$o'] : ((X0 @ t & cA @ X0) => cA @ X0)),
10.29/1.68	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cDOMLEMMA5_pme)).
10.29/1.68	tff(f2,negated_conjecture,(
10.29/1.68	  ~(! [X0 : a -> '$o'] : ((X0 @ t & cA @ X0) => ? [X1 : a -> '$o'] : (! [X4 : (a -> '$o') -> '$o'] : ((X4 @ (^[X3 : a] : $false) & ! [X2 : a -> '$o'] : (X4 @ X2 => ! [X5 : a] : (X1 @ X5 => X4 @ (^[X6 : a] : X5 = X6 | X2 @ X6)))) => X4 @ X1) & ! [X3 : a -> '$o'] : ((cA @ X3 & ! [X2 : a] : (X1 @ X2 => X3 @ X2)) => (cA @ X3 & X3 @ t)) & ! [X2 : a] : (X1 @ X2 => X0 @ X2))) & ! [X0 : a -> '$o'] : ((X0 @ t & cA @ X0) => cA @ X0))),
10.29/1.68	  inference(negated_conjecture,[],[f1])).
10.29/1.68	tff(f3,plain,(
10.29/1.68	  ~(! [X0 : a -> '$o'] : ((X0 @ t & cA @ X0) => ? [X1 : a -> '$o'] : (! [X2 : (a -> '$o') -> '$o'] : ((X2 @ (^[X3 : a] : $false) & ! [X4 : a -> '$o'] : (X2 @ X4 => ! [X5 : a] : (X1 @ X5 => X2 @ (^[X6 : a] : X5 = X6 | X4 @ X6)))) => X2 @ X1) & ! [X7 : a -> '$o'] : ((cA @ X7 & ! [X8 : a] : (X1 @ X8 => X7 @ X8)) => (cA @ X7 & X7 @ t)) & ! [X9 : a] : (X1 @ X9 => X0 @ X9))) & ! [X10 : a -> '$o'] : ((X10 @ t & cA @ X10) => cA @ X10))),
10.29/1.68	  inference(rectify,[],[f2])).
10.29/1.68	tff(f4,plain,(
10.29/1.68	  ~(! [X0 : a -> '$o'] : (((X0 @ t = $true) & (cA @ X0 = $true)) => ? [X1 : a -> '$o'] : (! [X2 : (a -> '$o') -> '$o'] : (((X2 @ (kCOMB @ $false) = $true) & ! [X4 : a -> '$o'] : ((X2 @ X4 = $true) => ! [X5 : a] : ((X1 @ X5 = $true) => (X2 @ (sCOMB @ (bCOMB @ vOR @ X4) @ (vEQ(a) @ X5)) = $true)))) => (X2 @ X1 = $true)) & ! [X7 : a -> '$o'] : (((cA @ X7 = $true) & ! [X8 : a] : ((X1 @ X8 = $true) => (X7 @ X8 = $true))) => ((cA @ X7 = $true) & (X7 @ t = $true))) & ! [X9 : a] : ((X1 @ X9 = $true) => (X0 @ X9 = $true)))) & ! [X10 : a -> '$o'] : (((X10 @ t = $true) & (cA @ X10 = $true)) => (cA @ X10 = $true)))),
10.29/1.68	  inference(fool_elimination,[],[f3])).
10.29/1.68	tff(f5,plain,(
10.29/1.68	  ~(! [X0 : a -> '$o'] : (((X0 @ t = $true) & (cA @ X0 = $true)) => ? [X1 : a -> '$o'] : (! [X2 : (a -> '$o') -> '$o'] : (((X2 @ (kCOMB @ $false) = $true) & ! [X3 : a -> '$o'] : ((X2 @ X3 = $true) => ! [X4 : a] : ((X1 @ X4 = $true) => (X2 @ (sCOMB @ (bCOMB @ vOR @ X3) @ (vEQ(a) @ X4)) = $true)))) => (X2 @ X1 = $true)) & ! [X5 : a -> '$o'] : (((cA @ X5 = $true) & ! [X6 : a] : ((X1 @ X6 = $true) => (X5 @ X6 = $true))) => ((cA @ X5 = $true) & (X5 @ t = $true))) & ! [X7 : a] : ((X1 @ X7 = $true) => (X0 @ X7 = $true)))) & ! [X8 : a -> '$o'] : (((X8 @ t = $true) & (cA @ X8 = $true)) => (cA @ X8 = $true)))),
10.29/1.68	  inference(rectify,[],[f4])).
10.29/1.68	tff(f6,plain,(
10.29/1.68	  ? [X0 : a -> '$o'] : (! [X1 : a -> '$o'] : (? [X2 : (a -> '$o') -> '$o'] : ((X2 @ X1 != $true) & ((X2 @ (kCOMB @ $false) = $true) & ! [X3 : a -> '$o'] : (! [X4 : a] : ((X2 @ (sCOMB @ (bCOMB @ vOR @ X3) @ (vEQ(a) @ X4)) = $true) | (X1 @ X4 != $true)) | (X2 @ X3 != $true)))) | ? [X5 : a -> '$o'] : (((cA @ X5 != $true) | (X5 @ t != $true)) & ((cA @ X5 = $true) & ! [X6 : a] : ((X5 @ X6 = $true) | (X1 @ X6 != $true)))) | ? [X7 : a] : ((X0 @ X7 != $true) & (X1 @ X7 = $true))) & ((X0 @ t = $true) & (cA @ X0 = $true))) | ? [X8 : a -> '$o'] : ((cA @ X8 != $true) & ((X8 @ t = $true) & (cA @ X8 = $true)))),
10.29/1.68	  inference(ennf_transformation,[],[f5])).
10.29/1.68	tff(f7,plain,(
10.29/1.68	  ? [X0 : a -> '$o'] : (! [X1 : a -> '$o'] : (? [X2 : (a -> '$o') -> '$o'] : ((X2 @ X1 != $true) & (X2 @ (kCOMB @ $false) = $true) & ! [X3 : a -> '$o'] : (! [X4 : a] : ((X2 @ (sCOMB @ (bCOMB @ vOR @ X3) @ (vEQ(a) @ X4)) = $true) | (X1 @ X4 != $true)) | (X2 @ X3 != $true))) | ? [X5 : a -> '$o'] : (((cA @ X5 != $true) | (X5 @ t != $true)) & (cA @ X5 = $true) & ! [X6 : a] : ((X5 @ X6 = $true) | (X1 @ X6 != $true))) | ? [X7 : a] : ((X0 @ X7 != $true) & (X1 @ X7 = $true))) & (X0 @ t = $true) & (cA @ X0 = $true)) | ? [X8 : a -> '$o'] : ((cA @ X8 != $true) & (X8 @ t = $true) & (cA @ X8 = $true))),
10.29/1.68	  inference(flattening,[],[f6])).
10.29/1.68	tff(f8,plain,(
10.29/1.68	  ? [X0 : a -> '$o'] : (! [X1 : a -> '$o'] : (? [X2 : (a -> '$o') -> '$o'] : ((X2 @ X1 != $true) & (X2 @ (kCOMB @ $false) = $true) & ! [X3 : a -> '$o'] : (! [X4 : a] : ((X2 @ (sCOMB @ (bCOMB @ vOR @ X3) @ (vEQ(a) @ X4)) = $true) | (X1 @ X4 != $true)) | (X2 @ X3 != $true))) | ? [X5 : a -> '$o'] : (((cA @ X5 != $true) | (X5 @ t != $true)) & (cA @ X5 = $true) & ! [X6 : a] : ((X5 @ X6 = $true) | (X1 @ X6 != $true))) | ? [X7 : a] : ((X0 @ X7 != $true) & (X1 @ X7 = $true))) & (X0 @ t = $true) & (cA @ X0 = $true)) => (! [X1 : a -> '$o'] : (? [X2 : (a -> '$o') -> '$o'] : ((X2 @ X1 != $true) & (X2 @ (kCOMB @ $false) = $true) & ! [X3 : a -> '$o'] : (! [X4 : a] : ((X2 @ (sCOMB @ (bCOMB @ vOR @ X3) @ (vEQ(a) @ X4)) = $true) | (X1 @ X4 != $true)) | (X2 @ X3 != $true))) | ? [X5 : a -> '$o'] : (((cA @ X5 != $true) | (X5 @ t != $true)) & (cA @ X5 = $true) & ! [X6 : a] : ((X5 @ X6 = $true) | (X1 @ X6 != $true))) | ? [X7 : a] : ((sK0 @ X7 != $true) & (X1 @ X7 = $true))) & (sK0 @ t = $true) & (cA @ sK0 = $true))),
10.29/1.68	  introduced(choice_axiom,[])).
10.29/1.68	tff(f9,plain,(
10.29/1.68	  ! [X1 : a -> '$o'] : (? [X2 : (a -> '$o') -> '$o'] : ((X2 @ X1 != $true) & (X2 @ (kCOMB @ $false) = $true) & ! [X3 : a -> '$o'] : (! [X4 : a] : ((X2 @ (sCOMB @ (bCOMB @ vOR @ X3) @ (vEQ(a) @ X4)) = $true) | (X1 @ X4 != $true)) | (X2 @ X3 != $true))) => ((sK1 @ X1 @ X1 != $true) & (sK1 @ X1 @ (kCOMB @ $false) = $true) & ! [X3 : a -> '$o'] : (! [X4 : a] : ((sK1 @ X1 @ (sCOMB @ (bCOMB @ vOR @ X3) @ (vEQ(a) @ X4)) = $true) | (X1 @ X4 != $true)) | (sK1 @ X1 @ X3 != $true))))),
10.29/1.68	  introduced(choice_axiom,[])).
10.29/1.68	tff(f10,plain,(
10.29/1.68	  ! [X1 : a -> '$o'] : (? [X5 : a -> '$o'] : (((cA @ X5 != $true) | (X5 @ t != $true)) & (cA @ X5 = $true) & ! [X6 : a] : ((X5 @ X6 = $true) | (X1 @ X6 != $true))) => (((cA @ (sK2 @ X1) != $true) | (sK2 @ X1 @ t != $true)) & (cA @ (sK2 @ X1) = $true) & ! [X6 : a] : ((sK2 @ X1 @ X6 = $true) | (X1 @ X6 != $true))))),
10.29/1.68	  introduced(choice_axiom,[])).
10.29/1.68	tff(f11,plain,(
10.29/1.68	  ! [X1 : a -> '$o'] : (? [X7 : a] : ((sK0 @ X7 != $true) & (X1 @ X7 = $true)) => ((sK0 @ (sK3 @ X1) != $true) & (X1 @ (sK3 @ X1) = $true)))),
10.29/1.68	  introduced(choice_axiom,[])).
10.29/1.68	tff(f12,plain,(
10.29/1.68	  ? [X8 : a -> '$o'] : ((cA @ X8 != $true) & (X8 @ t = $true) & (cA @ X8 = $true)) => ((cA @ sK4 != $true) & (sK4 @ t = $true) & (cA @ sK4 = $true))),
10.29/1.68	  introduced(choice_axiom,[])).
10.29/1.68	tff(f13,plain,(
10.29/1.68	  (! [X1 : a -> '$o'] : (((sK1 @ X1 @ X1 != $true) & (sK1 @ X1 @ (kCOMB @ $false) = $true) & ! [X3 : a -> '$o'] : (! [X4 : a] : ((sK1 @ X1 @ (sCOMB @ (bCOMB @ vOR @ X3) @ (vEQ(a) @ X4)) = $true) | (X1 @ X4 != $true)) | (sK1 @ X1 @ X3 != $true))) | (((cA @ (sK2 @ X1) != $true) | (sK2 @ X1 @ t != $true)) & (cA @ (sK2 @ X1) = $true) & ! [X6 : a] : ((sK2 @ X1 @ X6 = $true) | (X1 @ X6 != $true))) | ((sK0 @ (sK3 @ X1) != $true) & (X1 @ (sK3 @ X1) = $true))) & (sK0 @ t = $true) & (cA @ sK0 = $true)) | ((cA @ sK4 != $true) & (sK4 @ t = $true) & (cA @ sK4 = $true))),
10.29/1.68	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f7,f12,f11,f10,f9,f8])).
10.29/1.68	tff(f17,plain,(
10.29/1.68	  (sK0 @ t = $true) | (cA @ sK4 = $true)),
10.29/1.68	  inference(cnf_transformation,[],[f13])).
10.29/1.68	tff(f19,plain,(
10.29/1.68	  (sK0 @ t = $true) | (cA @ sK4 != $true)),
10.29/1.68	  inference(cnf_transformation,[],[f13])).
10.29/1.68	tff(f20,plain,(
10.29/1.68	  ( ! [X6:a,X4:a,X3:a -> '$o',X1:a -> '$o'] : ((sK1 @ X1 @ (sCOMB @ (bCOMB @ vOR @ X3) @ (vEQ(a) @ X4)) = $true) | (X1 @ X4 != $true) | (sK1 @ X1 @ X3 != $true) | (sK2 @ X1 @ X6 = $true) | (X1 @ X6 != $true) | (X1 @ (sK3 @ X1) = $true) | (cA @ sK4 = $true)) )),
10.29/1.68	  inference(cnf_transformation,[],[f13])).
10.29/1.68	tff(f22,plain,(
10.29/1.68	  ( ! [X6:a,X4:a,X3:a -> '$o',X1:a -> '$o'] : ((sK1 @ X1 @ (sCOMB @ (bCOMB @ vOR @ X3) @ (vEQ(a) @ X4)) = $true) | (X1 @ X4 != $true) | (sK1 @ X1 @ X3 != $true) | (sK2 @ X1 @ X6 = $true) | (X1 @ X6 != $true) | (X1 @ (sK3 @ X1) = $true) | (cA @ sK4 != $true)) )),
10.29/1.68	  inference(cnf_transformation,[],[f13])).
10.29/1.68	tff(f23,plain,(
10.29/1.68	  ( ! [X6:a,X4:a,X3:a -> '$o',X1:a -> '$o'] : ((sK1 @ X1 @ (sCOMB @ (bCOMB @ vOR @ X3) @ (vEQ(a) @ X4)) = $true) | (X1 @ X4 != $true) | (sK1 @ X1 @ X3 != $true) | (sK2 @ X1 @ X6 = $true) | (X1 @ X6 != $true) | (sK0 @ (sK3 @ X1) != $true) | (cA @ sK4 = $true)) )),
10.29/1.68	  inference(cnf_transformation,[],[f13])).
10.29/1.68	tff(f25,plain,(
10.29/1.68	  ( ! [X6:a,X4:a,X3:a -> '$o',X1:a -> '$o'] : ((sK1 @ X1 @ (sCOMB @ (bCOMB @ vOR @ X3) @ (vEQ(a) @ X4)) = $true) | (X1 @ X4 != $true) | (sK1 @ X1 @ X3 != $true) | (sK2 @ X1 @ X6 = $true) | (X1 @ X6 != $true) | (sK0 @ (sK3 @ X1) != $true) | (cA @ sK4 != $true)) )),
10.29/1.68	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f26,plain,(
10.29/1.69	  ( ! [X4:a,X3:a -> '$o',X1:a -> '$o'] : ((sK1 @ X1 @ (sCOMB @ (bCOMB @ vOR @ X3) @ (vEQ(a) @ X4)) = $true) | (X1 @ X4 != $true) | (sK1 @ X1 @ X3 != $true) | (cA @ (sK2 @ X1) = $true) | (X1 @ (sK3 @ X1) = $true) | (cA @ sK4 = $true)) )),
10.29/1.69	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f28,plain,(
10.29/1.69	  ( ! [X4:a,X3:a -> '$o',X1:a -> '$o'] : ((sK1 @ X1 @ (sCOMB @ (bCOMB @ vOR @ X3) @ (vEQ(a) @ X4)) = $true) | (X1 @ X4 != $true) | (sK1 @ X1 @ X3 != $true) | (cA @ (sK2 @ X1) = $true) | (X1 @ (sK3 @ X1) = $true) | (cA @ sK4 != $true)) )),
10.29/1.69	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f29,plain,(
10.29/1.69	  ( ! [X4:a,X3:a -> '$o',X1:a -> '$o'] : ((sK1 @ X1 @ (sCOMB @ (bCOMB @ vOR @ X3) @ (vEQ(a) @ X4)) = $true) | (X1 @ X4 != $true) | (sK1 @ X1 @ X3 != $true) | (cA @ (sK2 @ X1) = $true) | (sK0 @ (sK3 @ X1) != $true) | (cA @ sK4 = $true)) )),
10.29/1.69	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f31,plain,(
10.29/1.69	  ( ! [X4:a,X3:a -> '$o',X1:a -> '$o'] : ((sK1 @ X1 @ (sCOMB @ (bCOMB @ vOR @ X3) @ (vEQ(a) @ X4)) = $true) | (X1 @ X4 != $true) | (sK1 @ X1 @ X3 != $true) | (cA @ (sK2 @ X1) = $true) | (sK0 @ (sK3 @ X1) != $true) | (cA @ sK4 != $true)) )),
10.29/1.69	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f32,plain,(
10.29/1.69	  ( ! [X4:a,X3:a -> '$o',X1:a -> '$o'] : ((sK1 @ X1 @ (sCOMB @ (bCOMB @ vOR @ X3) @ (vEQ(a) @ X4)) = $true) | (X1 @ X4 != $true) | (sK1 @ X1 @ X3 != $true) | (cA @ (sK2 @ X1) != $true) | (sK2 @ X1 @ t != $true) | (X1 @ (sK3 @ X1) = $true) | (cA @ sK4 = $true)) )),
10.29/1.69	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f34,plain,(
10.29/1.69	  ( ! [X4:a,X3:a -> '$o',X1:a -> '$o'] : ((sK1 @ X1 @ (sCOMB @ (bCOMB @ vOR @ X3) @ (vEQ(a) @ X4)) = $true) | (X1 @ X4 != $true) | (sK1 @ X1 @ X3 != $true) | (cA @ (sK2 @ X1) != $true) | (sK2 @ X1 @ t != $true) | (X1 @ (sK3 @ X1) = $true) | (cA @ sK4 != $true)) )),
10.29/1.69	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f35,plain,(
10.29/1.69	  ( ! [X4:a,X3:a -> '$o',X1:a -> '$o'] : ((sK1 @ X1 @ (sCOMB @ (bCOMB @ vOR @ X3) @ (vEQ(a) @ X4)) = $true) | (X1 @ X4 != $true) | (sK1 @ X1 @ X3 != $true) | (cA @ (sK2 @ X1) != $true) | (sK2 @ X1 @ t != $true) | (sK0 @ (sK3 @ X1) != $true) | (cA @ sK4 = $true)) )),
10.29/1.69	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f37,plain,(
10.29/1.69	  ( ! [X4:a,X3:a -> '$o',X1:a -> '$o'] : ((sK1 @ X1 @ (sCOMB @ (bCOMB @ vOR @ X3) @ (vEQ(a) @ X4)) = $true) | (X1 @ X4 != $true) | (sK1 @ X1 @ X3 != $true) | (cA @ (sK2 @ X1) != $true) | (sK2 @ X1 @ t != $true) | (sK0 @ (sK3 @ X1) != $true) | (cA @ sK4 != $true)) )),
10.29/1.69	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f38,plain,(
10.29/1.69	  ( ! [X6:a,X1:a -> '$o'] : ((sK1 @ X1 @ (kCOMB @ $false) = $true) | (sK2 @ X1 @ X6 = $true) | (X1 @ X6 != $true) | (X1 @ (sK3 @ X1) = $true) | (cA @ sK4 = $true)) )),
10.29/1.69	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f40,plain,(
10.29/1.69	  ( ! [X6:a,X1:a -> '$o'] : ((sK1 @ X1 @ (kCOMB @ $false) = $true) | (sK2 @ X1 @ X6 = $true) | (X1 @ X6 != $true) | (X1 @ (sK3 @ X1) = $true) | (cA @ sK4 != $true)) )),
10.29/1.69	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f41,plain,(
10.29/1.69	  ( ! [X6:a,X1:a -> '$o'] : ((sK1 @ X1 @ (kCOMB @ $false) = $true) | (sK2 @ X1 @ X6 = $true) | (X1 @ X6 != $true) | (sK0 @ (sK3 @ X1) != $true) | (cA @ sK4 = $true)) )),
10.29/1.69	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f43,plain,(
10.29/1.69	  ( ! [X6:a,X1:a -> '$o'] : ((sK1 @ X1 @ (kCOMB @ $false) = $true) | (sK2 @ X1 @ X6 = $true) | (X1 @ X6 != $true) | (sK0 @ (sK3 @ X1) != $true) | (cA @ sK4 != $true)) )),
10.29/1.69	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f44,plain,(
10.29/1.69	  ( ! [X1:a -> '$o'] : ((sK1 @ X1 @ (kCOMB @ $false) = $true) | (cA @ (sK2 @ X1) = $true) | (X1 @ (sK3 @ X1) = $true) | (cA @ sK4 = $true)) )),
10.29/1.69	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f46,plain,(
10.29/1.69	  ( ! [X1:a -> '$o'] : ((sK1 @ X1 @ (kCOMB @ $false) = $true) | (cA @ (sK2 @ X1) = $true) | (X1 @ (sK3 @ X1) = $true) | (cA @ sK4 != $true)) )),
10.29/1.69	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f47,plain,(
10.29/1.69	  ( ! [X1:a -> '$o'] : ((sK1 @ X1 @ (kCOMB @ $false) = $true) | (cA @ (sK2 @ X1) = $true) | (sK0 @ (sK3 @ X1) != $true) | (cA @ sK4 = $true)) )),
10.29/1.69	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f49,plain,(
10.29/1.69	  ( ! [X1:a -> '$o'] : ((sK1 @ X1 @ (kCOMB @ $false) = $true) | (cA @ (sK2 @ X1) = $true) | (sK0 @ (sK3 @ X1) != $true) | (cA @ sK4 != $true)) )),
10.29/1.69	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f50,plain,(
10.29/1.69	  ( ! [X1:a -> '$o'] : ((sK1 @ X1 @ (kCOMB @ $false) = $true) | (cA @ (sK2 @ X1) != $true) | (sK2 @ X1 @ t != $true) | (X1 @ (sK3 @ X1) = $true) | (cA @ sK4 = $true)) )),
10.29/1.69	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f52,plain,(
10.29/1.69	  ( ! [X1:a -> '$o'] : ((sK1 @ X1 @ (kCOMB @ $false) = $true) | (cA @ (sK2 @ X1) != $true) | (sK2 @ X1 @ t != $true) | (X1 @ (sK3 @ X1) = $true) | (cA @ sK4 != $true)) )),
10.29/1.69	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f53,plain,(
10.29/1.69	  ( ! [X1:a -> '$o'] : ((sK1 @ X1 @ (kCOMB @ $false) = $true) | (cA @ (sK2 @ X1) != $true) | (sK2 @ X1 @ t != $true) | (sK0 @ (sK3 @ X1) != $true) | (cA @ sK4 = $true)) )),
10.29/1.69	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f55,plain,(
10.29/1.69	  ( ! [X1:a -> '$o'] : ((sK1 @ X1 @ (kCOMB @ $false) = $true) | (cA @ (sK2 @ X1) != $true) | (sK2 @ X1 @ t != $true) | (sK0 @ (sK3 @ X1) != $true) | (cA @ sK4 != $true)) )),
10.29/1.69	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f56,plain,(
10.29/1.69	  ( ! [X6:a,X1:a -> '$o'] : ((sK1 @ X1 @ X1 != $true) | (sK2 @ X1 @ X6 = $true) | (X1 @ X6 != $true) | (X1 @ (sK3 @ X1) = $true) | (cA @ sK4 = $true)) )),
10.29/1.69	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f58,plain,(
10.29/1.69	  ( ! [X6:a,X1:a -> '$o'] : ((sK1 @ X1 @ X1 != $true) | (sK2 @ X1 @ X6 = $true) | (X1 @ X6 != $true) | (X1 @ (sK3 @ X1) = $true) | (cA @ sK4 != $true)) )),
10.29/1.69	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f59,plain,(
10.29/1.69	  ( ! [X6:a,X1:a -> '$o'] : ((sK1 @ X1 @ X1 != $true) | (sK2 @ X1 @ X6 = $true) | (X1 @ X6 != $true) | (sK0 @ (sK3 @ X1) != $true) | (cA @ sK4 = $true)) )),
10.29/1.69	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f61,plain,(
10.29/1.69	  ( ! [X6:a,X1:a -> '$o'] : ((sK1 @ X1 @ X1 != $true) | (sK2 @ X1 @ X6 = $true) | (X1 @ X6 != $true) | (sK0 @ (sK3 @ X1) != $true) | (cA @ sK4 != $true)) )),
10.29/1.69	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f62,plain,(
10.29/1.69	  ( ! [X1:a -> '$o'] : ((sK1 @ X1 @ X1 != $true) | (cA @ (sK2 @ X1) = $true) | (X1 @ (sK3 @ X1) = $true) | (cA @ sK4 = $true)) )),
10.29/1.69	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f64,plain,(
10.29/1.69	  ( ! [X1:a -> '$o'] : ((sK1 @ X1 @ X1 != $true) | (cA @ (sK2 @ X1) = $true) | (X1 @ (sK3 @ X1) = $true) | (cA @ sK4 != $true)) )),
10.29/1.69	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f65,plain,(
10.29/1.69	  ( ! [X1:a -> '$o'] : ((sK1 @ X1 @ X1 != $true) | (cA @ (sK2 @ X1) = $true) | (sK0 @ (sK3 @ X1) != $true) | (cA @ sK4 = $true)) )),
10.29/1.69	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f67,plain,(
10.29/1.69	  ( ! [X1:a -> '$o'] : ((sK1 @ X1 @ X1 != $true) | (cA @ (sK2 @ X1) = $true) | (sK0 @ (sK3 @ X1) != $true) | (cA @ sK4 != $true)) )),
10.29/1.69	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f68,plain,(
10.29/1.69	  ( ! [X1:a -> '$o'] : ((sK1 @ X1 @ X1 != $true) | (cA @ (sK2 @ X1) != $true) | (sK2 @ X1 @ t != $true) | (X1 @ (sK3 @ X1) = $true) | (cA @ sK4 = $true)) )),
10.29/1.69	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f70,plain,(
10.29/1.69	  ( ! [X1:a -> '$o'] : ((sK1 @ X1 @ X1 != $true) | (cA @ (sK2 @ X1) != $true) | (sK2 @ X1 @ t != $true) | (X1 @ (sK3 @ X1) = $true) | (cA @ sK4 != $true)) )),
10.29/1.69	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f71,plain,(
10.29/1.69	  ( ! [X1:a -> '$o'] : ((sK1 @ X1 @ X1 != $true) | (cA @ (sK2 @ X1) != $true) | (sK2 @ X1 @ t != $true) | (sK0 @ (sK3 @ X1) != $true) | (cA @ sK4 = $true)) )),
10.29/1.69	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f73,plain,(
10.29/1.69	  ( ! [X1:a -> '$o'] : ((sK1 @ X1 @ X1 != $true) | (cA @ (sK2 @ X1) != $true) | (sK2 @ X1 @ t != $true) | (sK0 @ (sK3 @ X1) != $true) | (cA @ sK4 != $true)) )),
10.29/1.69	  inference(cnf_transformation,[],[f13])).
10.29/1.69	tff(f75,plain,(
10.29/1.69	  spl5_0 <=> (cA @ sK4 = $true)),
10.29/1.69	  introduced(avatar_definition,[new_symbols(naming,[spl5_0])])).
10.29/1.69	tff(f78,plain,(
10.29/1.69	  spl5_1 <=> (cA @ sK4 != $true)),
10.29/1.69	  introduced(avatar_definition,[new_symbols(naming,[spl5_1])])).
10.29/1.69	tff(f81,plain,(
10.29/1.69	  spl5_2 <=> ! [X1 : a -> '$o'] : ((sK1 @ X1 @ X1 != $true) | (sK0 @ (sK3 @ X1) != $true) | (sK2 @ X1 @ t != $true) | (cA @ (sK2 @ X1) != $true))),
10.29/1.69	  introduced(avatar_definition,[new_symbols(naming,[spl5_2])])).
10.29/1.69	tff(f83,plain,(
10.29/1.69	  ~spl5_1 | spl5_2),
10.29/1.69	  inference(avatar_split_clause,[],[f73,f81,f78])).
10.29/1.69	tff(f91,plain,(
10.29/1.69	  spl5_0 | spl5_2),
10.29/1.69	  inference(avatar_split_clause,[],[f71,f81,f75])).
10.29/1.69	tff(f93,plain,(
10.29/1.69	  spl5_6 <=> ! [X1 : a -> '$o'] : ((sK1 @ X1 @ X1 != $true) | (X1 @ (sK3 @ X1) = $true) | (sK2 @ X1 @ t != $true) | (cA @ (sK2 @ X1) != $true))),
10.29/1.69	  introduced(avatar_definition,[new_symbols(naming,[spl5_6])])).
10.29/1.69	tff(f95,plain,(
10.29/1.69	  ~spl5_1 | spl5_6),
10.29/1.69	  inference(avatar_split_clause,[],[f70,f93,f78])).
10.29/1.69	tff(f97,plain,(
10.29/1.69	  spl5_0 | spl5_6),
10.29/1.69	  inference(avatar_split_clause,[],[f68,f93,f75])).
10.29/1.69	tff(f111,plain,(
10.29/1.69	  spl5_12 <=> ! [X1 : a -> '$o',X6 : a] : ((sK1 @ X1 @ X1 != $true) | (sK0 @ (sK3 @ X1) != $true) | (X1 @ X6 != $true) | (sK2 @ X1 @ X6 = $true))),
10.29/1.69	  introduced(avatar_definition,[new_symbols(naming,[spl5_12])])).
10.29/1.69	tff(f112,plain,(
10.29/1.69	  ( ! [X6:a,X1:a -> '$o'] : ((sK1 @ X1 @ X1 != $true) | (sK0 @ (sK3 @ X1) != $true) | (X1 @ X6 != $true) | (sK2 @ X1 @ X6 = $true)) ) | ~spl5_12),
10.29/1.69	  inference(avatar_component_clause,[],[f111])).
10.29/1.69	tff(f113,plain,(
10.29/1.69	  ~spl5_1 | spl5_12),
10.29/1.69	  inference(avatar_split_clause,[],[f61,f111,f78])).
10.29/1.69	tff(f115,plain,(
10.29/1.69	  spl5_0 | spl5_12),
10.29/1.69	  inference(avatar_split_clause,[],[f59,f111,f75])).
10.29/1.69	tff(f117,plain,(
10.29/1.69	  spl5_14 <=> ! [X1 : a -> '$o',X6 : a] : ((sK1 @ X1 @ X1 != $true) | (X1 @ (sK3 @ X1) = $true) | (X1 @ X6 != $true) | (sK2 @ X1 @ X6 = $true))),
10.29/1.69	  introduced(avatar_definition,[new_symbols(naming,[spl5_14])])).
10.29/1.69	tff(f118,plain,(
10.29/1.69	  ( ! [X6:a,X1:a -> '$o'] : ((sK1 @ X1 @ X1 != $true) | (X1 @ (sK3 @ X1) = $true) | (X1 @ X6 != $true) | (sK2 @ X1 @ X6 = $true)) ) | ~spl5_14),
10.29/1.69	  inference(avatar_component_clause,[],[f117])).
10.29/1.69	tff(f119,plain,(
10.29/1.69	  ~spl5_1 | spl5_14),
10.29/1.69	  inference(avatar_split_clause,[],[f58,f117,f78])).
10.29/1.69	tff(f121,plain,(
10.29/1.69	  spl5_0 | spl5_14),
10.29/1.69	  inference(avatar_split_clause,[],[f56,f117,f75])).
10.29/1.69	tff(f123,plain,(
10.29/1.69	  spl5_16 <=> ! [X1 : a -> '$o'] : ((sK1 @ X1 @ (kCOMB @ $false) = $true) | (sK0 @ (sK3 @ X1) != $true) | (sK2 @ X1 @ t != $true) | (cA @ (sK2 @ X1) != $true))),
10.29/1.69	  introduced(avatar_definition,[new_symbols(naming,[spl5_16])])).
10.29/1.69	tff(f125,plain,(
10.29/1.69	  ~spl5_1 | spl5_16),
10.29/1.69	  inference(avatar_split_clause,[],[f55,f123,f78])).
10.29/1.69	tff(f127,plain,(
10.29/1.69	  spl5_0 | spl5_16),
10.29/1.69	  inference(avatar_split_clause,[],[f53,f123,f75])).
10.29/1.69	tff(f129,plain,(
10.29/1.69	  spl5_18 <=> ! [X1 : a -> '$o'] : ((sK1 @ X1 @ (kCOMB @ $false) = $true) | (X1 @ (sK3 @ X1) = $true) | (sK2 @ X1 @ t != $true) | (cA @ (sK2 @ X1) != $true))),
10.29/1.69	  introduced(avatar_definition,[new_symbols(naming,[spl5_18])])).
10.29/1.69	tff(f131,plain,(
10.29/1.69	  ~spl5_1 | spl5_18),
10.29/1.69	  inference(avatar_split_clause,[],[f52,f129,f78])).
10.29/1.69	tff(f133,plain,(
10.29/1.69	  spl5_0 | spl5_18),
10.29/1.69	  inference(avatar_split_clause,[],[f50,f129,f75])).
10.29/1.69	tff(f147,plain,(
10.29/1.69	  spl5_24 <=> ! [X1 : a -> '$o',X6 : a] : ((sK1 @ X1 @ (kCOMB @ $false) = $true) | (sK0 @ (sK3 @ X1) != $true) | (X1 @ X6 != $true) | (sK2 @ X1 @ X6 = $true))),
10.29/1.69	  introduced(avatar_definition,[new_symbols(naming,[spl5_24])])).
10.29/1.69	tff(f148,plain,(
10.29/1.69	  ( ! [X6:a,X1:a -> '$o'] : ((sK1 @ X1 @ (kCOMB @ $false) = $true) | (sK0 @ (sK3 @ X1) != $true) | (X1 @ X6 != $true) | (sK2 @ X1 @ X6 = $true)) ) | ~spl5_24),
10.29/1.69	  inference(avatar_component_clause,[],[f147])).
10.29/1.69	tff(f149,plain,(
10.29/1.69	  ~spl5_1 | spl5_24),
10.29/1.69	  inference(avatar_split_clause,[],[f43,f147,f78])).
10.29/1.69	tff(f151,plain,(
10.29/1.69	  spl5_0 | spl5_24),
10.29/1.69	  inference(avatar_split_clause,[],[f41,f147,f75])).
10.29/1.69	tff(f153,plain,(
10.29/1.69	  spl5_26 <=> ! [X1 : a -> '$o',X6 : a] : ((sK1 @ X1 @ (kCOMB @ $false) = $true) | (X1 @ (sK3 @ X1) = $true) | (X1 @ X6 != $true) | (sK2 @ X1 @ X6 = $true))),
10.29/1.69	  introduced(avatar_definition,[new_symbols(naming,[spl5_26])])).
10.29/1.69	tff(f154,plain,(
10.29/1.69	  ( ! [X6:a,X1:a -> '$o'] : ((sK1 @ X1 @ (kCOMB @ $false) = $true) | (X1 @ (sK3 @ X1) = $true) | (X1 @ X6 != $true) | (sK2 @ X1 @ X6 = $true)) ) | ~spl5_26),
10.29/1.69	  inference(avatar_component_clause,[],[f153])).
10.29/1.69	tff(f155,plain,(
10.29/1.69	  ~spl5_1 | spl5_26),
10.29/1.69	  inference(avatar_split_clause,[],[f40,f153,f78])).
10.29/1.69	tff(f157,plain,(
10.29/1.69	  spl5_0 | spl5_26),
10.29/1.69	  inference(avatar_split_clause,[],[f38,f153,f75])).
10.29/1.69	tff(f159,plain,(
10.29/1.69	  spl5_28 <=> ! [X1 : a -> '$o',X3 : a -> '$o',X4 : a] : ((sK1 @ X1 @ (sCOMB @ (bCOMB @ vOR @ X3) @ (vEQ(a) @ X4)) = $true) | (sK0 @ (sK3 @ X1) != $true) | (sK2 @ X1 @ t != $true) | (cA @ (sK2 @ X1) != $true) | (sK1 @ X1 @ X3 != $true) | (X1 @ X4 != $true))),
10.29/1.69	  introduced(avatar_definition,[new_symbols(naming,[spl5_28])])).
10.29/1.69	tff(f161,plain,(
10.29/1.69	  ~spl5_1 | spl5_28),
10.29/1.69	  inference(avatar_split_clause,[],[f37,f159,f78])).
10.29/1.69	tff(f163,plain,(
10.29/1.69	  spl5_0 | spl5_28),
10.29/1.69	  inference(avatar_split_clause,[],[f35,f159,f75])).
10.29/1.69	tff(f165,plain,(
10.29/1.69	  spl5_30 <=> ! [X1 : a -> '$o',X3 : a -> '$o',X4 : a] : ((sK1 @ X1 @ (sCOMB @ (bCOMB @ vOR @ X3) @ (vEQ(a) @ X4)) = $true) | (X1 @ (sK3 @ X1) = $true) | (sK2 @ X1 @ t != $true) | (cA @ (sK2 @ X1) != $true) | (sK1 @ X1 @ X3 != $true) | (X1 @ X4 != $true))),
10.29/1.69	  introduced(avatar_definition,[new_symbols(naming,[spl5_30])])).
10.29/1.69	tff(f167,plain,(
10.29/1.69	  ~spl5_1 | spl5_30),
10.29/1.69	  inference(avatar_split_clause,[],[f34,f165,f78])).
10.29/1.69	tff(f169,plain,(
10.29/1.69	  spl5_0 | spl5_30),
10.29/1.69	  inference(avatar_split_clause,[],[f32,f165,f75])).
10.29/1.69	tff(f183,plain,(
10.29/1.69	  spl5_36 <=> ! [X1 : a -> '$o',X3 : a -> '$o',X4 : a,X6 : a] : ((sK1 @ X1 @ (sCOMB @ (bCOMB @ vOR @ X3) @ (vEQ(a) @ X4)) = $true) | (sK0 @ (sK3 @ X1) != $true) | (X1 @ X6 != $true) | (sK2 @ X1 @ X6 = $true) | (sK1 @ X1 @ X3 != $true) | (X1 @ X4 != $true))),
10.29/1.69	  introduced(avatar_definition,[new_symbols(naming,[spl5_36])])).
10.29/1.69	tff(f184,plain,(
10.29/1.69	  ( ! [X6:a,X4:a,X3:a -> '$o',X1:a -> '$o'] : ((sK1 @ X1 @ (sCOMB @ (bCOMB @ vOR @ X3) @ (vEQ(a) @ X4)) = $true) | (sK0 @ (sK3 @ X1) != $true) | (X1 @ X6 != $true) | (sK2 @ X1 @ X6 = $true) | (sK1 @ X1 @ X3 != $true) | (X1 @ X4 != $true)) ) | ~spl5_36),
10.29/1.69	  inference(avatar_component_clause,[],[f183])).
10.29/1.69	tff(f185,plain,(
10.29/1.69	  ~spl5_1 | spl5_36),
10.29/1.69	  inference(avatar_split_clause,[],[f25,f183,f78])).
10.29/1.69	tff(f187,plain,(
10.29/1.69	  spl5_0 | spl5_36),
10.29/1.69	  inference(avatar_split_clause,[],[f23,f183,f75])).
10.29/1.69	tff(f189,plain,(
10.29/1.69	  spl5_38 <=> ! [X1 : a -> '$o',X3 : a -> '$o',X4 : a,X6 : a] : ((sK1 @ X1 @ (sCOMB @ (bCOMB @ vOR @ X3) @ (vEQ(a) @ X4)) = $true) | (X1 @ (sK3 @ X1) = $true) | (X1 @ X6 != $true) | (sK2 @ X1 @ X6 = $true) | (sK1 @ X1 @ X3 != $true) | (X1 @ X4 != $true))),
10.29/1.69	  introduced(avatar_definition,[new_symbols(naming,[spl5_38])])).
10.29/1.69	tff(f190,plain,(
10.29/1.69	  ( ! [X6:a,X4:a,X3:a -> '$o',X1:a -> '$o'] : ((sK1 @ X1 @ (sCOMB @ (bCOMB @ vOR @ X3) @ (vEQ(a) @ X4)) = $true) | (X1 @ (sK3 @ X1) = $true) | (X1 @ X6 != $true) | (sK2 @ X1 @ X6 = $true) | (sK1 @ X1 @ X3 != $true) | (X1 @ X4 != $true)) ) | ~spl5_38),
10.29/1.69	  inference(avatar_component_clause,[],[f189])).
10.29/1.69	tff(f191,plain,(
10.29/1.69	  ~spl5_1 | spl5_38),
10.29/1.69	  inference(avatar_split_clause,[],[f22,f189,f78])).
10.29/1.69	tff(f193,plain,(
10.29/1.69	  spl5_0 | spl5_38),
10.29/1.69	  inference(avatar_split_clause,[],[f20,f189,f75])).
10.29/1.69	tff(f198,plain,(
10.29/1.69	  spl5_40 <=> (sK0 @ t = $true)),
10.29/1.69	  introduced(avatar_definition,[new_symbols(naming,[spl5_40])])).
10.29/1.69	tff(f199,plain,(
10.29/1.69	  (sK0 @ t = $true) | ~spl5_40),
10.29/1.69	  inference(avatar_component_clause,[],[f198])).
10.29/1.69	tff(f200,plain,(
10.29/1.69	  ~spl5_1 | spl5_40),
10.29/1.69	  inference(avatar_split_clause,[],[f19,f198,f78])).
10.29/1.69	tff(f202,plain,(
10.29/1.69	  spl5_0 | spl5_40),
10.29/1.69	  inference(avatar_split_clause,[],[f17,f198,f75])).
10.29/1.69	tff(f212,plain,(
10.29/1.69	  ( ! [X4:a,X3:a -> '$o',X1:a -> '$o'] : ((sK1 @ X1 @ (sCOMB @ (bCOMB @ vOR @ X3) @ (vEQ(a) @ X4)) = $true) | (sK2 @ X1 @ t != $true) | (X1 @ (sK3 @ X1) = $true) | (X1 @ X4 != $true) | (sK1 @ X1 @ X3 != $true)) ) | ~spl5_30),
10.29/1.69	  inference(global_subsumption,[],[f34,f32,f28,f26])).
10.29/1.69	tff(f213,plain,(
10.29/1.69	  ( ! [X4:a,X3:a -> '$o',X1:a -> '$o'] : ((sK1 @ X1 @ (sCOMB @ (bCOMB @ vOR @ X3) @ (vEQ(a) @ X4)) = $true) | (sK1 @ X1 @ X3 != $true) | (sK0 @ (sK3 @ X1) != $true) | (sK2 @ X1 @ t != $true) | (X1 @ X4 != $true)) ) | ~spl5_28),
10.29/1.69	  inference(global_subsumption,[],[f37,f35,f31,f29])).
10.29/1.69	tff(f214,plain,(
10.29/1.69	  ( ! [X1:a -> '$o'] : ((sK1 @ X1 @ (kCOMB @ $false) = $true) | (sK2 @ X1 @ t != $true) | (X1 @ (sK3 @ X1) = $true)) ) | ~spl5_18),
10.29/1.69	  inference(global_subsumption,[],[f52,f50,f46,f44])).
10.29/1.69	tff(f215,plain,(
10.29/1.69	  ( ! [X1:a -> '$o'] : ((sK1 @ X1 @ (kCOMB @ $false) = $true) | (sK0 @ (sK3 @ X1) != $true) | (sK2 @ X1 @ t != $true)) ) | ~spl5_16),
10.29/1.69	  inference(global_subsumption,[],[f55,f53,f49,f47])).
10.29/1.69	tff(f216,plain,(
10.29/1.69	  ( ! [X1:a -> '$o'] : ((sK1 @ X1 @ X1 != $true) | (X1 @ (sK3 @ X1) = $true) | (sK2 @ X1 @ t != $true)) ) | ~spl5_6),
10.29/1.69	  inference(global_subsumption,[],[f70,f68,f64,f62])).
10.29/1.69	tff(f217,plain,(
10.29/1.69	  ( ! [X1:a -> '$o'] : ((sK1 @ X1 @ X1 != $true) | (sK0 @ (sK3 @ X1) != $true) | (sK2 @ X1 @ t != $true)) ) | ~spl5_2),
10.29/1.69	  inference(global_subsumption,[],[f73,f71,f67,f65])).
10.29/1.69	tff(f832,plain,(
10.29/1.69	  ( ! [X10:a -> '$o',X11:a] : (($true != $true) | (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11) @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11))) = $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ t != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ t != $true) | (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11) @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11))) = $true) | (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11) @ X11 != $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X10 != $true)) ) | (~spl5_6 | ~spl5_30)),
10.29/1.69	  inference(superposition,[],[f216,f212])).
10.29/1.69	tff(f900,plain,(
10.29/1.69	  ( ! [X10:a -> '$o',X11:a] : (($true != $true) | (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11) @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11))) = $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ t != $true) | (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11) @ X11 != $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X10 != $true)) ) | (~spl5_6 | ~spl5_30)),
10.29/1.69	  inference(duplicate_literal_removal,[],[f832])).
10.29/1.69	tff(f901,plain,(
10.29/1.69	  ( ! [X10:a -> '$o',X11:a] : ((sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11) @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11))) = $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ t != $true) | (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11) @ X11 != $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X10 != $true)) ) | (~spl5_6 | ~spl5_30)),
10.29/1.69	  inference(trivial_inequality_removal,[],[f900])).
10.29/1.69	tff(f902,plain,(
10.29/1.69	  ( ! [X10:a -> '$o',X11:a] : ((vOR @ (X10 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)))) @ (vEQ(a) @ X11 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)))) = $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ t != $true) | (vOR @ (X10 @ X11) @ (vEQ(a) @ X11 @ X11) != $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X10 != $true)) ) | (~spl5_6 | ~spl5_30)),
10.29/1.69	  inference(combinator_demodulation,[],[f901])).
10.29/1.69	tff(f903,plain,(
10.29/1.69	  ( ! [X10:a -> '$o',X11:a] : ((vOR @ (X10 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)))) @ (vEQ(a) @ X11 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)))) = $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ t != $true) | (vOR @ (X10 @ X11) @ $true != $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X10 != $true)) ) | (~spl5_6 | ~spl5_30)),
10.29/1.69	  inference(boolean_simplification,[],[f902])).
10.29/1.69	tff(f904,plain,(
10.29/1.69	  ( ! [X10:a -> '$o',X11:a] : ((vOR @ (X10 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)))) @ (vEQ(a) @ X11 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)))) = $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ t != $true) | ($true != $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X10 != $true)) ) | (~spl5_6 | ~spl5_30)),
10.29/1.69	  inference(boolean_simplification,[],[f903])).
10.29/1.69	tff(f905,plain,(
10.29/1.69	  ( ! [X10:a -> '$o',X11:a] : ((vOR @ (X10 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)))) @ (vEQ(a) @ X11 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)))) = $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ t != $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X10 != $true)) ) | (~spl5_6 | ~spl5_30)),
10.29/1.69	  inference(trivial_inequality_removal,[],[f904])).
10.29/1.69	tff(f906,plain,(
10.29/1.69	  ( ! [X10:a -> '$o',X11:a] : ((X10 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11))) = $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ t != $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X10 != $true) | (vEQ(a) @ X11 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11))) = $true)) ) | (~spl5_6 | ~spl5_30)),
10.29/1.69	  inference(binary_proxy_clausification,[],[f905])).
10.29/1.69	tff(f907,plain,(
10.29/1.69	  ( ! [X10:a -> '$o',X11:a] : ((sK1 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X10 != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ t != $true) | (X10 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11))) = $true) | sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) = X11) ) | (~spl5_6 | ~spl5_30)),
10.29/1.69	  inference(equality_proxy_clausification,[],[f906])).
10.29/1.69	tff(f1018,plain,(
10.29/1.69	  ( ! [X12:a -> '$o',X13:a] : (($true != $true) | (sK0 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X12) @ (vEQ(a) @ X13))) != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X12) @ (vEQ(a) @ X13)) @ t != $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X12) @ (vEQ(a) @ X13)) @ X12 != $true) | (sK0 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X12) @ (vEQ(a) @ X13))) != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X12) @ (vEQ(a) @ X13)) @ t != $true) | (sCOMB @ (bCOMB @ vOR @ X12) @ (vEQ(a) @ X13) @ X13 != $true)) ) | (~spl5_2 | ~spl5_28)),
10.29/1.69	  inference(superposition,[],[f217,f213])).
10.29/1.69	tff(f1071,plain,(
10.29/1.69	  ( ! [X12:a -> '$o',X13:a] : (($true != $true) | (sK0 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X12) @ (vEQ(a) @ X13))) != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X12) @ (vEQ(a) @ X13)) @ t != $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X12) @ (vEQ(a) @ X13)) @ X12 != $true) | (sCOMB @ (bCOMB @ vOR @ X12) @ (vEQ(a) @ X13) @ X13 != $true)) ) | (~spl5_2 | ~spl5_28)),
10.29/1.69	  inference(duplicate_literal_removal,[],[f1018])).
10.29/1.69	tff(f1072,plain,(
10.29/1.69	  ( ! [X12:a -> '$o',X13:a] : ((sK0 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X12) @ (vEQ(a) @ X13))) != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X12) @ (vEQ(a) @ X13)) @ t != $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X12) @ (vEQ(a) @ X13)) @ X12 != $true) | (sCOMB @ (bCOMB @ vOR @ X12) @ (vEQ(a) @ X13) @ X13 != $true)) ) | (~spl5_2 | ~spl5_28)),
10.29/1.69	  inference(trivial_inequality_removal,[],[f1071])).
10.29/1.69	tff(f1073,plain,(
10.29/1.69	  ( ! [X12:a -> '$o',X13:a] : ((sK0 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X12) @ (vEQ(a) @ X13))) != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X12) @ (vEQ(a) @ X13)) @ t != $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X12) @ (vEQ(a) @ X13)) @ X12 != $true) | (vOR @ (X12 @ X13) @ (vEQ(a) @ X13 @ X13) != $true)) ) | (~spl5_2 | ~spl5_28)),
10.29/1.69	  inference(combinator_demodulation,[],[f1072])).
10.29/1.69	tff(f1074,plain,(
10.29/1.69	  ( ! [X12:a -> '$o',X13:a] : ((sK0 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X12) @ (vEQ(a) @ X13))) != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X12) @ (vEQ(a) @ X13)) @ t != $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X12) @ (vEQ(a) @ X13)) @ X12 != $true) | (vOR @ (X12 @ X13) @ $true != $true)) ) | (~spl5_2 | ~spl5_28)),
10.29/1.69	  inference(boolean_simplification,[],[f1073])).
10.29/1.69	tff(f1075,plain,(
10.29/1.69	  ( ! [X12:a -> '$o',X13:a] : ((sK0 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X12) @ (vEQ(a) @ X13))) != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X12) @ (vEQ(a) @ X13)) @ t != $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X12) @ (vEQ(a) @ X13)) @ X12 != $true) | ($true != $true)) ) | (~spl5_2 | ~spl5_28)),
10.29/1.69	  inference(boolean_simplification,[],[f1074])).
10.29/1.69	tff(f1076,plain,(
10.29/1.69	  ( ! [X12:a -> '$o',X13:a] : ((sK1 @ (sCOMB @ (bCOMB @ vOR @ X12) @ (vEQ(a) @ X13)) @ X12 != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X12) @ (vEQ(a) @ X13)) @ t != $true) | (sK0 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X12) @ (vEQ(a) @ X13))) != $true)) ) | (~spl5_2 | ~spl5_28)),
10.29/1.69	  inference(trivial_inequality_removal,[],[f1075])).
10.29/1.69	tff(f1546,plain,(
10.29/1.69	  ( ! [X6:a -> '$o',X8:a,X7:a,X9:a] : (($true != $true) | (sK0 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7))) != $true) | (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7) @ X8 != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X8 = $true) | (sK0 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7))) != $true) | (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7) @ X9 != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X9 = $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X6 != $true) | (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7) @ X7 != $true)) ) | (~spl5_12 | ~spl5_36)),
10.29/1.69	  inference(superposition,[],[f112,f184])).
10.29/1.69	tff(f1660,plain,(
10.29/1.69	  ( ! [X6:a -> '$o',X8:a,X7:a,X9:a] : (($true != $true) | (sK0 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7))) != $true) | (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7) @ X8 != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X8 = $true) | (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7) @ X9 != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X9 = $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X6 != $true) | (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7) @ X7 != $true)) ) | (~spl5_12 | ~spl5_36)),
10.29/1.69	  inference(duplicate_literal_removal,[],[f1546])).
10.29/1.71	tff(f1661,plain,(
10.29/1.71	  ( ! [X6:a -> '$o',X8:a,X7:a,X9:a] : ((sK0 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7))) != $true) | (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7) @ X8 != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X8 = $true) | (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7) @ X9 != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X9 = $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X6 != $true) | (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7) @ X7 != $true)) ) | (~spl5_12 | ~spl5_36)),
10.29/1.71	  inference(trivial_inequality_removal,[],[f1660])).
10.29/1.71	tff(f1662,plain,(
10.29/1.71	  ( ! [X6:a -> '$o',X8:a,X7:a,X9:a] : ((sK0 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7))) != $true) | (vOR @ (X6 @ X8) @ (vEQ(a) @ X7 @ X8) != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X8 = $true) | (vOR @ (X6 @ X9) @ (vEQ(a) @ X7 @ X9) != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X9 = $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X6 != $true) | (vOR @ (X6 @ X7) @ (vEQ(a) @ X7 @ X7) != $true)) ) | (~spl5_12 | ~spl5_36)),
10.29/1.71	  inference(combinator_demodulation,[],[f1661])).
10.29/1.71	tff(f1663,plain,(
10.29/1.71	  ( ! [X6:a -> '$o',X8:a,X7:a,X9:a] : ((sK0 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7))) != $true) | (vOR @ (X6 @ X8) @ (vEQ(a) @ X7 @ X8) != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X8 = $true) | (vOR @ (X6 @ X9) @ (vEQ(a) @ X7 @ X9) != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X9 = $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X6 != $true) | (vOR @ (X6 @ X7) @ $true != $true)) ) | (~spl5_12 | ~spl5_36)),
10.29/1.71	  inference(boolean_simplification,[],[f1662])).
10.29/1.71	tff(f1664,plain,(
10.29/1.71	  ( ! [X6:a -> '$o',X8:a,X7:a,X9:a] : ((sK0 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7))) != $true) | (vOR @ (X6 @ X8) @ (vEQ(a) @ X7 @ X8) != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X8 = $true) | (vOR @ (X6 @ X9) @ (vEQ(a) @ X7 @ X9) != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X9 = $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X6 != $true) | ($true != $true)) ) | (~spl5_12 | ~spl5_36)),
10.29/1.71	  inference(boolean_simplification,[],[f1663])).
10.29/1.71	tff(f1665,plain,(
10.29/1.71	  ( ! [X6:a -> '$o',X8:a,X7:a,X9:a] : ((sK0 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7))) != $true) | (vOR @ (X6 @ X8) @ (vEQ(a) @ X7 @ X8) != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X8 = $true) | (vOR @ (X6 @ X9) @ (vEQ(a) @ X7 @ X9) != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X9 = $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X6 != $true)) ) | (~spl5_12 | ~spl5_36)),
10.29/1.71	  inference(trivial_inequality_removal,[],[f1664])).
10.29/1.71	tff(f1667,plain,(
10.29/1.71	  ( ! [X6:a -> '$o',X8:a,X7:a,X9:a] : ((sK0 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7))) != $true) | (vEQ(a) @ X7 @ X8 = $false) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X8 = $true) | (vOR @ (X6 @ X9) @ (vEQ(a) @ X7 @ X9) != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X9 = $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X6 != $true)) ) | (~spl5_12 | ~spl5_36)),
10.29/1.71	  inference(binary_proxy_clausification,[],[f1665])).
10.29/1.71	tff(f1668,plain,(
10.29/1.71	  ( ! [X6:a -> '$o',X8:a,X7:a,X9:a] : ((sK0 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7))) != $true) | X7 != X8 | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X8 = $true) | (vOR @ (X6 @ X9) @ (vEQ(a) @ X7 @ X9) != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X9 = $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X6 != $true)) ) | (~spl5_12 | ~spl5_36)),
10.29/1.71	  inference(equality_proxy_clausification,[],[f1667])).
10.29/1.71	tff(f1670,plain,(
10.29/1.71	  ( ! [X6:a -> '$o',X8:a,X7:a,X9:a] : ((sK0 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7))) != $true) | X7 != X8 | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X8 = $true) | (vEQ(a) @ X7 @ X9 = $false) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X9 = $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X6 != $true)) ) | (~spl5_12 | ~spl5_36)),
10.29/1.71	  inference(binary_proxy_clausification,[],[f1668])).
10.29/1.71	tff(f1671,plain,(
10.29/1.71	  ( ! [X6:a -> '$o',X8:a,X7:a,X9:a] : ((sK1 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X6 != $true) | X7 != X8 | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X8 = $true) | X7 != X9 | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7)) @ X9 = $true) | (sK0 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X6) @ (vEQ(a) @ X7))) != $true)) ) | (~spl5_12 | ~spl5_36)),
10.29/1.71	  inference(equality_proxy_clausification,[],[f1670])).
10.29/1.71	tff(f1794,plain,(
10.29/1.71	  ( ! [X12:a,X10:a -> '$o',X13:a,X11:a] : (($true != $true) | (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11) @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11))) = $true) | (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11) @ X12 != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X12 = $true) | (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11) @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11))) = $true) | (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11) @ X13 != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X13 = $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X10 != $true) | (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11) @ X11 != $true)) ) | (~spl5_14 | ~spl5_38)),
10.29/1.71	  inference(superposition,[],[f118,f190])).
10.29/1.71	tff(f1899,plain,(
10.29/1.71	  ( ! [X12:a,X10:a -> '$o',X13:a,X11:a] : (($true != $true) | (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11) @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11))) = $true) | (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11) @ X12 != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X12 = $true) | (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11) @ X13 != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X13 = $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X10 != $true) | (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11) @ X11 != $true)) ) | (~spl5_14 | ~spl5_38)),
10.29/1.71	  inference(duplicate_literal_removal,[],[f1794])).
10.29/1.71	tff(f1900,plain,(
10.29/1.71	  ( ! [X12:a,X10:a -> '$o',X13:a,X11:a] : ((sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11) @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11))) = $true) | (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11) @ X12 != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X12 = $true) | (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11) @ X13 != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X13 = $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X10 != $true) | (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11) @ X11 != $true)) ) | (~spl5_14 | ~spl5_38)),
10.29/1.71	  inference(trivial_inequality_removal,[],[f1899])).
10.29/1.71	tff(f1901,plain,(
10.29/1.71	  ( ! [X12:a,X10:a -> '$o',X13:a,X11:a] : ((vOR @ (X10 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)))) @ (vEQ(a) @ X11 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)))) = $true) | (vOR @ (X10 @ X12) @ (vEQ(a) @ X11 @ X12) != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X12 = $true) | (vOR @ (X10 @ X13) @ (vEQ(a) @ X11 @ X13) != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X13 = $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X10 != $true) | (vOR @ (X10 @ X11) @ (vEQ(a) @ X11 @ X11) != $true)) ) | (~spl5_14 | ~spl5_38)),
10.29/1.71	  inference(combinator_demodulation,[],[f1900])).
10.29/1.71	tff(f1902,plain,(
10.29/1.71	  ( ! [X12:a,X10:a -> '$o',X13:a,X11:a] : ((vOR @ (X10 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)))) @ (vEQ(a) @ X11 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)))) = $true) | (vOR @ (X10 @ X12) @ (vEQ(a) @ X11 @ X12) != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X12 = $true) | (vOR @ (X10 @ X13) @ (vEQ(a) @ X11 @ X13) != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X13 = $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X10 != $true) | (vOR @ (X10 @ X11) @ $true != $true)) ) | (~spl5_14 | ~spl5_38)),
10.29/1.71	  inference(boolean_simplification,[],[f1901])).
10.29/1.71	tff(f1903,plain,(
10.29/1.71	  ( ! [X12:a,X10:a -> '$o',X13:a,X11:a] : ((vOR @ (X10 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)))) @ (vEQ(a) @ X11 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)))) = $true) | (vOR @ (X10 @ X12) @ (vEQ(a) @ X11 @ X12) != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X12 = $true) | (vOR @ (X10 @ X13) @ (vEQ(a) @ X11 @ X13) != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X13 = $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X10 != $true) | ($true != $true)) ) | (~spl5_14 | ~spl5_38)),
10.29/1.71	  inference(boolean_simplification,[],[f1902])).
10.29/1.71	tff(f1904,plain,(
10.29/1.71	  ( ! [X12:a,X10:a -> '$o',X13:a,X11:a] : ((vOR @ (X10 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)))) @ (vEQ(a) @ X11 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)))) = $true) | (vOR @ (X10 @ X12) @ (vEQ(a) @ X11 @ X12) != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X12 = $true) | (vOR @ (X10 @ X13) @ (vEQ(a) @ X11 @ X13) != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X13 = $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X10 != $true)) ) | (~spl5_14 | ~spl5_38)),
10.29/1.71	  inference(trivial_inequality_removal,[],[f1903])).
10.29/1.71	tff(f1905,plain,(
10.29/1.71	  ( ! [X12:a,X10:a -> '$o',X13:a,X11:a] : ((X10 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11))) = $true) | (vOR @ (X10 @ X12) @ (vEQ(a) @ X11 @ X12) != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X12 = $true) | (vOR @ (X10 @ X13) @ (vEQ(a) @ X11 @ X13) != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X13 = $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X10 != $true) | (vEQ(a) @ X11 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11))) = $true)) ) | (~spl5_14 | ~spl5_38)),
10.29/1.71	  inference(binary_proxy_clausification,[],[f1904])).
10.29/1.71	tff(f1906,plain,(
10.29/1.71	  ( ! [X12:a,X10:a -> '$o',X13:a,X11:a] : ((X10 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11))) = $true) | (vOR @ (X10 @ X12) @ (vEQ(a) @ X11 @ X12) != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X12 = $true) | (vOR @ (X10 @ X13) @ (vEQ(a) @ X11 @ X13) != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X13 = $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X10 != $true) | sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) = X11) ) | (~spl5_14 | ~spl5_38)),
10.29/1.71	  inference(equality_proxy_clausification,[],[f1905])).
10.29/1.71	tff(f1908,plain,(
10.29/1.71	  ( ! [X12:a,X10:a -> '$o',X13:a,X11:a] : ((X10 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11))) = $true) | (vEQ(a) @ X11 @ X12 = $false) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X12 = $true) | (vOR @ (X10 @ X13) @ (vEQ(a) @ X11 @ X13) != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X13 = $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X10 != $true) | sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) = X11) ) | (~spl5_14 | ~spl5_38)),
10.29/1.71	  inference(binary_proxy_clausification,[],[f1906])).
10.29/1.71	tff(f1909,plain,(
10.29/1.71	  ( ! [X12:a,X10:a -> '$o',X13:a,X11:a] : ((X10 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11))) = $true) | X11 != X12 | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X12 = $true) | (vOR @ (X10 @ X13) @ (vEQ(a) @ X11 @ X13) != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X13 = $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X10 != $true) | sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) = X11) ) | (~spl5_14 | ~spl5_38)),
10.29/1.71	  inference(equality_proxy_clausification,[],[f1908])).
10.29/1.71	tff(f1911,plain,(
10.29/1.71	  ( ! [X12:a,X10:a -> '$o',X13:a,X11:a] : ((X10 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11))) = $true) | X11 != X12 | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X12 = $true) | (vEQ(a) @ X11 @ X13 = $false) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X13 = $true) | (sK1 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X10 != $true) | sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) = X11) ) | (~spl5_14 | ~spl5_38)),
10.29/1.71	  inference(binary_proxy_clausification,[],[f1909])).
10.29/1.71	tff(f1912,plain,(
10.29/1.71	  ( ! [X12:a,X10:a -> '$o',X13:a,X11:a] : ((sK1 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X10 != $true) | X11 != X12 | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X12 = $true) | X11 != X13 | (sK2 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) @ X13 = $true) | (X10 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11))) = $true) | sK3 @ (sCOMB @ (bCOMB @ vOR @ X10) @ (vEQ(a) @ X11)) = X11) ) | (~spl5_14 | ~spl5_38)),
10.29/1.71	  inference(equality_proxy_clausification,[],[f1911])).
10.29/1.71	tff(f2055,plain,(
10.29/1.71	  ( ! [X6:a] : (($true != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X6)) @ t != $true) | (sK0 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X6))) != $true) | (sK0 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X6))) != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X6)) @ t != $true)) ) | (~spl5_2 | ~spl5_16 | ~spl5_28)),
10.29/1.71	  inference(superposition,[],[f1076,f215])).
10.29/1.71	tff(f2134,plain,(
10.29/1.71	  ( ! [X6:a] : (($true != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X6)) @ t != $true) | (sK0 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X6))) != $true)) ) | (~spl5_2 | ~spl5_16 | ~spl5_28)),
10.29/1.71	  inference(duplicate_literal_removal,[],[f2055])).
10.29/1.71	tff(f2135,plain,(
10.29/1.71	  ( ! [X6:a] : ((sK2 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X6)) @ t != $true) | (sK0 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X6))) != $true)) ) | (~spl5_2 | ~spl5_16 | ~spl5_28)),
10.29/1.71	  inference(trivial_inequality_removal,[],[f2134])).
10.29/1.71	tff(f2136,plain,(
10.29/1.71	  ( ! [X6:a] : ((sK2 @ (sCOMB @ (kCOMB @ (vOR @ $false)) @ (vEQ(a) @ X6)) @ t != $true) | (sK0 @ (sK3 @ (sCOMB @ (kCOMB @ (vOR @ $false)) @ (vEQ(a) @ X6))) != $true)) ) | (~spl5_2 | ~spl5_16 | ~spl5_28)),
10.29/1.71	  inference(combinator_normalisation,[],[f2135])).
10.29/1.71	tff(f2137,plain,(
10.29/1.71	  ( ! [X6:a] : ((sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X6)) @ t != $true) | (sK0 @ (sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X6))) != $true)) ) | (~spl5_2 | ~spl5_16 | ~spl5_28)),
10.29/1.71	  inference(combinator_normalisation,[],[f2136])).
10.29/1.71	tff(f2530,plain,(
10.29/1.71	  ( ! [X7:a] : (($true != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X7)) @ t != $true) | (kCOMB @ $false @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X7))) = $true) | sK3 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X7)) = X7 | (sK2 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X7)) @ t != $true) | (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X7) @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X7))) = $true)) ) | (~spl5_6 | ~spl5_18 | ~spl5_30)),
10.29/1.71	  inference(superposition,[],[f907,f214])).
10.29/1.71	tff(f2612,plain,(
10.29/1.71	  ( ! [X7:a] : (($true != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X7)) @ t != $true) | (kCOMB @ $false @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X7))) = $true) | sK3 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X7)) = X7 | (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X7) @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X7))) = $true)) ) | (~spl5_6 | ~spl5_18 | ~spl5_30)),
10.29/1.71	  inference(duplicate_literal_removal,[],[f2530])).
10.29/1.71	tff(f2613,plain,(
10.29/1.71	  ( ! [X7:a] : ((sK2 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X7)) @ t != $true) | (kCOMB @ $false @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X7))) = $true) | sK3 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X7)) = X7 | (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X7) @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X7))) = $true)) ) | (~spl5_6 | ~spl5_18 | ~spl5_30)),
10.29/1.71	  inference(trivial_inequality_removal,[],[f2612])).
10.29/1.71	tff(f2614,plain,(
10.29/1.71	  ( ! [X7:a] : ((sK2 @ (sCOMB @ (kCOMB @ (vOR @ $false)) @ (vEQ(a) @ X7)) @ t != $true) | (kCOMB @ $false @ (sK3 @ (sCOMB @ (kCOMB @ (vOR @ $false)) @ (vEQ(a) @ X7))) = $true) | sK3 @ (sCOMB @ (kCOMB @ (vOR @ $false)) @ (vEQ(a) @ X7)) = X7 | (sCOMB @ (kCOMB @ (vOR @ $false)) @ (vEQ(a) @ X7) @ (sK3 @ (sCOMB @ (kCOMB @ (vOR @ $false)) @ (vEQ(a) @ X7))) = $true)) ) | (~spl5_6 | ~spl5_18 | ~spl5_30)),
10.29/1.71	  inference(combinator_normalisation,[],[f2613])).
10.29/1.71	tff(f2615,plain,(
10.29/1.71	  ( ! [X7:a] : ((sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X7)) @ t != $true) | (kCOMB @ $false @ (sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X7))) = $true) | sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X7)) = X7 | (sCOMB @ (kCOMB @ (vOR @ $false)) @ (vEQ(a) @ X7) @ (sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X7))) = $true)) ) | (~spl5_6 | ~spl5_18 | ~spl5_30)),
10.29/1.71	  inference(combinator_normalisation,[],[f2614])).
10.29/1.71	tff(f2616,plain,(
10.29/1.71	  ( ! [X7:a] : ((sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X7)) @ t != $true) | ($false = $true) | sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X7)) = X7 | (vOR @ $false @ (vEQ(a) @ X7 @ (sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X7)))) = $true)) ) | (~spl5_6 | ~spl5_18 | ~spl5_30)),
10.29/1.71	  inference(combinator_demodulation,[],[f2615])).
10.29/1.71	tff(f2617,plain,(
10.29/1.71	  ( ! [X7:a] : ((sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X7)) @ t != $true) | sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X7)) = X7 | (vOR @ $false @ (vEQ(a) @ X7 @ (sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X7)))) = $true)) ) | (~spl5_6 | ~spl5_18 | ~spl5_30)),
10.29/1.71	  inference(trivial_inequality_removal,[],[f2616])).
10.29/1.71	tff(f2618,plain,(
10.29/1.71	  ( ! [X7:a] : ((sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X7)) @ t != $true) | sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X7)) = X7 | (vEQ(a) @ X7 @ (sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X7))) = $true)) ) | (~spl5_6 | ~spl5_18 | ~spl5_30)),
10.29/1.71	  inference(boolean_simplification,[],[f2617])).
10.29/1.71	tff(f2619,plain,(
10.29/1.71	  ( ! [X7:a] : ((sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X7)) @ t != $true) | sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X7)) = X7 | sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X7)) = X7) ) | (~spl5_6 | ~spl5_18 | ~spl5_30)),
10.29/1.71	  inference(equality_proxy_clausification,[],[f2618])).
10.29/1.71	tff(f2620,plain,(
10.29/1.71	  ( ! [X7:a] : ((sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X7)) @ t != $true) | sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X7)) = X7) ) | (~spl5_6 | ~spl5_18 | ~spl5_30)),
10.29/1.71	  inference(duplicate_literal_removal,[],[f2619])).
10.29/1.71	tff(f3623,plain,(
10.29/1.71	  ( ! [X6:a,X4:a,X7:a,X5:a] : (($true != $true) | X4 != X5 | (sK2 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X4)) @ X5 = $true) | X4 != X6 | (sK2 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X4)) @ X6 = $true) | (sK0 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X4))) != $true) | (sK0 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X4))) != $true) | (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X4) @ X7 != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X4)) @ X7 = $true)) ) | (~spl5_12 | ~spl5_24 | ~spl5_36)),
10.29/1.71	  inference(superposition,[],[f1671,f148])).
10.29/1.71	tff(f3721,plain,(
10.29/1.71	  ( ! [X6:a,X4:a,X7:a,X5:a] : (($true != $true) | X4 != X5 | (sK2 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X4)) @ X5 = $true) | X4 != X6 | (sK2 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X4)) @ X6 = $true) | (sK0 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X4))) != $true) | (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X4) @ X7 != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X4)) @ X7 = $true)) ) | (~spl5_12 | ~spl5_24 | ~spl5_36)),
10.29/1.71	  inference(duplicate_literal_removal,[],[f3623])).
10.29/1.71	tff(f3722,plain,(
10.29/1.71	  ( ! [X6:a,X4:a,X7:a,X5:a] : (X4 != X5 | (sK2 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X4)) @ X5 = $true) | X4 != X6 | (sK2 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X4)) @ X6 = $true) | (sK0 @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X4))) != $true) | (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X4) @ X7 != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X4)) @ X7 = $true)) ) | (~spl5_12 | ~spl5_24 | ~spl5_36)),
10.29/1.71	  inference(trivial_inequality_removal,[],[f3721])).
10.29/1.71	tff(f3723,plain,(
10.29/1.71	  ( ! [X6:a,X4:a,X7:a,X5:a] : (X4 != X5 | (sK2 @ (sCOMB @ (kCOMB @ (vOR @ $false)) @ (vEQ(a) @ X4)) @ X5 = $true) | X4 != X6 | (sK2 @ (sCOMB @ (kCOMB @ (vOR @ $false)) @ (vEQ(a) @ X4)) @ X6 = $true) | (sK0 @ (sK3 @ (sCOMB @ (kCOMB @ (vOR @ $false)) @ (vEQ(a) @ X4))) != $true) | (sCOMB @ (kCOMB @ (vOR @ $false)) @ (vEQ(a) @ X4) @ X7 != $true) | (sK2 @ (sCOMB @ (kCOMB @ (vOR @ $false)) @ (vEQ(a) @ X4)) @ X7 = $true)) ) | (~spl5_12 | ~spl5_24 | ~spl5_36)),
10.29/1.71	  inference(combinator_normalisation,[],[f3722])).
10.29/1.71	tff(f3724,plain,(
10.29/1.71	  ( ! [X6:a,X4:a,X7:a,X5:a] : (X4 != X5 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X4)) @ X5 = $true) | X4 != X6 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X4)) @ X6 = $true) | (sK0 @ (sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X4))) != $true) | (sCOMB @ (kCOMB @ (vOR @ $false)) @ (vEQ(a) @ X4) @ X7 != $true) | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X4)) @ X7 = $true)) ) | (~spl5_12 | ~spl5_24 | ~spl5_36)),
10.29/1.71	  inference(combinator_normalisation,[],[f3723])).
10.29/1.71	tff(f3725,plain,(
10.29/1.71	  ( ! [X6:a,X4:a,X7:a,X5:a] : (X4 != X5 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X4)) @ X5 = $true) | X4 != X6 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X4)) @ X6 = $true) | (sK0 @ (sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X4))) != $true) | (vOR @ $false @ (vEQ(a) @ X4 @ X7) != $true) | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X4)) @ X7 = $true)) ) | (~spl5_12 | ~spl5_24 | ~spl5_36)),
10.29/1.71	  inference(combinator_demodulation,[],[f3724])).
10.29/1.71	tff(f3726,plain,(
10.29/1.71	  ( ! [X6:a,X4:a,X7:a,X5:a] : (X4 != X5 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X4)) @ X5 = $true) | X4 != X6 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X4)) @ X6 = $true) | (sK0 @ (sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X4))) != $true) | (vEQ(a) @ X4 @ X7 != $true) | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X4)) @ X7 = $true)) ) | (~spl5_12 | ~spl5_24 | ~spl5_36)),
10.29/1.71	  inference(boolean_simplification,[],[f3725])).
10.29/1.71	tff(f3727,plain,(
10.29/1.71	  ( ! [X6:a,X4:a,X7:a,X5:a] : ((sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X4)) @ X7 = $true) | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X4)) @ X5 = $true) | X4 != X6 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X4)) @ X6 = $true) | (sK0 @ (sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X4))) != $true) | X4 != X7 | X4 != X5) ) | (~spl5_12 | ~spl5_24 | ~spl5_36)),
10.29/1.71	  inference(equality_proxy_clausification,[],[f3726])).
10.29/1.71	tff(f3748,plain,(
10.29/1.71	  ( ! [X2:a,X0:a,X1:a] : (($true != $true) | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X2 = $true) | X0 != X1 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X1 = $true) | (sK0 @ (sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0))) != $true) | X0 != X1 | X0 != X2) ) | (~spl5_12 | ~spl5_24 | ~spl5_36)),
10.29/1.71	  inference(equality_factoring,[],[f3727])).
10.29/1.71	tff(f3749,plain,(
10.29/1.71	  ( ! [X2:a,X0:a,X1:a] : (($true != $true) | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X2 = $true) | X0 != X1 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X1 = $true) | (sK0 @ (sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0))) != $true) | X0 != X2) ) | (~spl5_12 | ~spl5_24 | ~spl5_36)),
10.29/1.71	  inference(duplicate_literal_removal,[],[f3748])).
10.29/1.71	tff(f3750,plain,(
10.29/1.71	  ( ! [X2:a,X0:a,X1:a] : ((sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X2 = $true) | X0 != X1 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X1 = $true) | (sK0 @ (sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0))) != $true) | X0 != X2) ) | (~spl5_12 | ~spl5_24 | ~spl5_36)),
10.29/1.71	  inference(trivial_inequality_removal,[],[f3749])).
10.29/1.71	tff(f3770,plain,(
10.29/1.71	  ( ! [X0:a,X1:a] : (($true != $true) | X0 != X1 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X1 = $true) | (sK0 @ (sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0))) != $true) | X0 != X1) ) | (~spl5_12 | ~spl5_24 | ~spl5_36)),
10.29/1.71	  inference(equality_factoring,[],[f3750])).
10.29/1.71	tff(f3771,plain,(
10.29/1.71	  ( ! [X0:a,X1:a] : (($true != $true) | X0 != X1 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X1 = $true) | (sK0 @ (sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0))) != $true)) ) | (~spl5_12 | ~spl5_24 | ~spl5_36)),
10.29/1.71	  inference(duplicate_literal_removal,[],[f3770])).
10.29/1.71	tff(f3772,plain,(
10.29/1.71	  ( ! [X0:a,X1:a] : ((sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X1 = $true) | X0 != X1 | (sK0 @ (sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0))) != $true)) ) | (~spl5_12 | ~spl5_24 | ~spl5_36)),
10.29/1.71	  inference(trivial_inequality_removal,[],[f3771])).
10.29/1.71	tff(f3789,plain,(
10.29/1.71	  ( ! [X8:a,X7:a] : (($true != $true) | (sK0 @ (sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X8))) != $true) | t != X7 | (sK0 @ (sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X7))) != $true) | bCOMB @ (vOR @ $false) @ (vEQ(a) @ X7) != bCOMB @ (vOR @ $false) @ (vEQ(a) @ X8)) ) | (~spl5_2 | ~spl5_12 | ~spl5_16 | ~spl5_24 | ~spl5_28 | ~spl5_36)),
10.29/1.71	  inference(superposition,[],[f2137,f3772])).
10.29/1.71	tff(f3790,plain,(
10.29/1.71	  ( ! [X8:a,X7:a] : (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X7) != bCOMB @ (vOR @ $false) @ (vEQ(a) @ X8) | t != X7 | (sK0 @ (sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X7))) != $true) | (sK0 @ (sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X8))) != $true)) ) | (~spl5_2 | ~spl5_12 | ~spl5_16 | ~spl5_24 | ~spl5_28 | ~spl5_36)),
10.29/1.71	  inference(trivial_inequality_removal,[],[f3789])).
10.29/1.71	tff(f3839,plain,(
10.29/1.71	  ( ! [X0:a] : (t != X0 | (sK0 @ (sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0))) != $true) | (sK0 @ (sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0))) != $true)) ) | (~spl5_2 | ~spl5_12 | ~spl5_16 | ~spl5_24 | ~spl5_28 | ~spl5_36)),
10.29/1.71	  inference(equality_resolution,[],[f3790])).
10.29/1.71	tff(f3840,plain,(
10.29/1.71	  ( ! [X0:a] : ((sK0 @ (sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0))) != $true) | t != X0) ) | (~spl5_2 | ~spl5_12 | ~spl5_16 | ~spl5_24 | ~spl5_28 | ~spl5_36)),
10.29/1.71	  inference(duplicate_literal_removal,[],[f3839])).
10.29/1.71	tff(f5174,plain,(
10.29/1.71	  ( ! [X2:a,X0:a,X3:a,X1:a] : (($true != $true) | X0 != X1 | (sK2 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X0)) @ X1 = $true) | X0 != X2 | (sK2 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X0)) @ X2 = $true) | (kCOMB @ $false @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X0))) = $true) | sK3 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X0)) = X0 | (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X0) @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X0))) = $true) | (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X0) @ X3 != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X0)) @ X3 = $true)) ) | (~spl5_14 | ~spl5_26 | ~spl5_38)),
10.29/1.71	  inference(superposition,[],[f1912,f154])).
10.29/1.71	tff(f5298,plain,(
10.29/1.71	  ( ! [X2:a,X0:a,X3:a,X1:a] : (X0 != X1 | (sK2 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X0)) @ X1 = $true) | X0 != X2 | (sK2 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X0)) @ X2 = $true) | (kCOMB @ $false @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X0))) = $true) | sK3 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X0)) = X0 | (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X0) @ (sK3 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X0))) = $true) | (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X0) @ X3 != $true) | (sK2 @ (sCOMB @ (bCOMB @ vOR @ (kCOMB @ $false)) @ (vEQ(a) @ X0)) @ X3 = $true)) ) | (~spl5_14 | ~spl5_26 | ~spl5_38)),
10.29/1.71	  inference(trivial_inequality_removal,[],[f5174])).
10.29/1.71	tff(f5299,plain,(
10.29/1.71	  ( ! [X2:a,X0:a,X3:a,X1:a] : (X0 != X1 | (sK2 @ (sCOMB @ (kCOMB @ (vOR @ $false)) @ (vEQ(a) @ X0)) @ X1 = $true) | X0 != X2 | (sK2 @ (sCOMB @ (kCOMB @ (vOR @ $false)) @ (vEQ(a) @ X0)) @ X2 = $true) | (kCOMB @ $false @ (sK3 @ (sCOMB @ (kCOMB @ (vOR @ $false)) @ (vEQ(a) @ X0))) = $true) | sK3 @ (sCOMB @ (kCOMB @ (vOR @ $false)) @ (vEQ(a) @ X0)) = X0 | (sCOMB @ (kCOMB @ (vOR @ $false)) @ (vEQ(a) @ X0) @ (sK3 @ (sCOMB @ (kCOMB @ (vOR @ $false)) @ (vEQ(a) @ X0))) = $true) | (sCOMB @ (kCOMB @ (vOR @ $false)) @ (vEQ(a) @ X0) @ X3 != $true) | (sK2 @ (sCOMB @ (kCOMB @ (vOR @ $false)) @ (vEQ(a) @ X0)) @ X3 = $true)) ) | (~spl5_14 | ~spl5_26 | ~spl5_38)),
10.29/1.71	  inference(combinator_normalisation,[],[f5298])).
10.29/1.71	tff(f5300,plain,(
10.29/1.71	  ( ! [X2:a,X0:a,X3:a,X1:a] : (X0 != X1 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X1 = $true) | X0 != X2 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X2 = $true) | (kCOMB @ $false @ (sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0))) = $true) | sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) = X0 | (sCOMB @ (kCOMB @ (vOR @ $false)) @ (vEQ(a) @ X0) @ (sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0))) = $true) | (sCOMB @ (kCOMB @ (vOR @ $false)) @ (vEQ(a) @ X0) @ X3 != $true) | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X3 = $true)) ) | (~spl5_14 | ~spl5_26 | ~spl5_38)),
10.29/1.71	  inference(combinator_normalisation,[],[f5299])).
10.29/1.71	tff(f5301,plain,(
10.29/1.71	  ( ! [X2:a,X0:a,X3:a,X1:a] : (X0 != X1 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X1 = $true) | X0 != X2 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X2 = $true) | ($false = $true) | sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) = X0 | (vOR @ $false @ (vEQ(a) @ X0 @ (sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)))) = $true) | (vOR @ $false @ (vEQ(a) @ X0 @ X3) != $true) | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X3 = $true)) ) | (~spl5_14 | ~spl5_26 | ~spl5_38)),
10.29/1.71	  inference(combinator_demodulation,[],[f5300])).
10.29/1.71	tff(f5302,plain,(
10.29/1.71	  ( ! [X2:a,X0:a,X3:a,X1:a] : (X0 != X1 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X1 = $true) | X0 != X2 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X2 = $true) | sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) = X0 | (vOR @ $false @ (vEQ(a) @ X0 @ (sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)))) = $true) | (vOR @ $false @ (vEQ(a) @ X0 @ X3) != $true) | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X3 = $true)) ) | (~spl5_14 | ~spl5_26 | ~spl5_38)),
10.29/1.71	  inference(trivial_inequality_removal,[],[f5301])).
10.29/1.71	tff(f5303,plain,(
10.29/1.71	  ( ! [X2:a,X0:a,X3:a,X1:a] : (X0 != X1 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X1 = $true) | X0 != X2 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X2 = $true) | sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) = X0 | (vEQ(a) @ X0 @ (sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0))) = $true) | (vOR @ $false @ (vEQ(a) @ X0 @ X3) != $true) | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X3 = $true)) ) | (~spl5_14 | ~spl5_26 | ~spl5_38)),
10.29/1.71	  inference(boolean_simplification,[],[f5302])).
10.29/1.71	tff(f5304,plain,(
10.29/1.71	  ( ! [X2:a,X0:a,X3:a,X1:a] : (X0 != X1 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X1 = $true) | X0 != X2 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X2 = $true) | sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) = X0 | (vEQ(a) @ X0 @ (sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0))) = $true) | (vEQ(a) @ X0 @ X3 != $true) | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X3 = $true)) ) | (~spl5_14 | ~spl5_26 | ~spl5_38)),
10.29/1.71	  inference(boolean_simplification,[],[f5303])).
10.29/1.71	tff(f5305,plain,(
10.29/1.71	  ( ! [X2:a,X0:a,X3:a,X1:a] : (X0 != X1 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X1 = $true) | X0 != X2 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X2 = $true) | sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) = X0 | (vEQ(a) @ X0 @ (sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0))) = $true) | X0 != X3 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X3 = $true)) ) | (~spl5_14 | ~spl5_26 | ~spl5_38)),
10.29/1.71	  inference(equality_proxy_clausification,[],[f5304])).
10.29/1.71	tff(f5306,plain,(
10.29/1.71	  ( ! [X2:a,X0:a,X3:a,X1:a] : (X0 != X1 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X1 = $true) | X0 != X2 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X2 = $true) | sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) = X0 | sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) = X0 | X0 != X3 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X3 = $true)) ) | (~spl5_14 | ~spl5_26 | ~spl5_38)),
10.29/1.71	  inference(equality_proxy_clausification,[],[f5305])).
10.29/1.71	tff(f5307,plain,(
10.29/1.71	  ( ! [X2:a,X0:a,X3:a,X1:a] : ((sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X3 = $true) | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X1 = $true) | X0 != X2 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X2 = $true) | sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) = X0 | X0 != X3 | X0 != X1) ) | (~spl5_14 | ~spl5_26 | ~spl5_38)),
10.29/1.71	  inference(duplicate_literal_removal,[],[f5306])).
10.29/1.71	tff(f5324,plain,(
10.29/1.71	  ( ! [X2:a,X0:a,X1:a] : (($true != $true) | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X2 = $true) | X0 != X1 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X1 = $true) | sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) = X0 | X0 != X1 | X0 != X2) ) | (~spl5_14 | ~spl5_26 | ~spl5_38)),
10.29/1.71	  inference(equality_factoring,[],[f5307])).
10.29/1.71	tff(f5325,plain,(
10.29/1.71	  ( ! [X2:a,X0:a,X1:a] : (($true != $true) | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X2 = $true) | X0 != X1 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X1 = $true) | sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) = X0 | X0 != X2) ) | (~spl5_14 | ~spl5_26 | ~spl5_38)),
10.29/1.71	  inference(duplicate_literal_removal,[],[f5324])).
10.29/1.71	tff(f5326,plain,(
10.29/1.71	  ( ! [X2:a,X0:a,X1:a] : ((sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X2 = $true) | X0 != X1 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X1 = $true) | sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) = X0 | X0 != X2) ) | (~spl5_14 | ~spl5_26 | ~spl5_38)),
10.29/1.71	  inference(trivial_inequality_removal,[],[f5325])).
10.29/1.71	tff(f5346,plain,(
10.29/1.71	  ( ! [X0:a,X1:a] : (($true != $true) | X0 != X1 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X1 = $true) | sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) = X0 | X0 != X1) ) | (~spl5_14 | ~spl5_26 | ~spl5_38)),
10.29/1.71	  inference(equality_factoring,[],[f5326])).
10.29/1.71	tff(f5347,plain,(
10.29/1.71	  ( ! [X0:a,X1:a] : (($true != $true) | X0 != X1 | (sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X1 = $true) | sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) = X0) ) | (~spl5_14 | ~spl5_26 | ~spl5_38)),
10.29/1.71	  inference(duplicate_literal_removal,[],[f5346])).
10.29/1.71	tff(f5348,plain,(
10.29/1.71	  ( ! [X0:a,X1:a] : ((sK2 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) @ X1 = $true) | X0 != X1 | sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) = X0) ) | (~spl5_14 | ~spl5_26 | ~spl5_38)),
10.29/1.71	  inference(trivial_inequality_removal,[],[f5347])).
10.29/1.71	tff(f5363,plain,(
10.29/1.71	  ( ! [X4:a,X3:a] : (($true != $true) | sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X4)) = X4 | t != X3 | sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X3)) = X3 | bCOMB @ (vOR @ $false) @ (vEQ(a) @ X3) != bCOMB @ (vOR @ $false) @ (vEQ(a) @ X4)) ) | (~spl5_6 | ~spl5_14 | ~spl5_18 | ~spl5_26 | ~spl5_30 | ~spl5_38)),
10.29/1.71	  inference(superposition,[],[f2620,f5348])).
10.29/1.71	tff(f5368,plain,(
10.29/1.71	  ( ! [X4:a,X3:a] : (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X3) != bCOMB @ (vOR @ $false) @ (vEQ(a) @ X4) | t != X3 | sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X3)) = X3 | sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X4)) = X4) ) | (~spl5_6 | ~spl5_14 | ~spl5_18 | ~spl5_26 | ~spl5_30 | ~spl5_38)),
10.29/1.71	  inference(trivial_inequality_removal,[],[f5363])).
10.29/1.71	tff(f5532,plain,(
10.29/1.71	  ( ! [X0:a] : (t != X0 | sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) = X0 | sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) = X0) ) | (~spl5_6 | ~spl5_14 | ~spl5_18 | ~spl5_26 | ~spl5_30 | ~spl5_38)),
10.29/1.71	  inference(equality_resolution,[],[f5368])).
10.29/1.71	tff(f5533,plain,(
10.29/1.71	  ( ! [X0:a] : (sK3 @ (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X0)) = X0 | t != X0) ) | (~spl5_6 | ~spl5_14 | ~spl5_18 | ~spl5_26 | ~spl5_30 | ~spl5_38)),
10.29/1.71	  inference(duplicate_literal_removal,[],[f5532])).
10.29/1.71	tff(f5553,plain,(
10.29/1.71	  ( ! [X21:a,X20:a] : (bCOMB @ (vOR @ $false) @ (vEQ(a) @ X20) != bCOMB @ (vOR @ $false) @ (vEQ(a) @ X21) | t != X21 | t != X20 | (sK0 @ X20 != $true)) ) | (~spl5_2 | ~spl5_6 | ~spl5_12 | ~spl5_14 | ~spl5_16 | ~spl5_18 | ~spl5_24 | ~spl5_26 | ~spl5_28 | ~spl5_30 | ~spl5_36 | ~spl5_38)),
10.29/1.71	  inference(superposition,[],[f3840,f5533])).
10.29/1.71	tff(f5577,plain,(
10.29/1.71	  ( ! [X0:a] : (t != X0 | t != X0 | (sK0 @ X0 != $true)) ) | (~spl5_2 | ~spl5_6 | ~spl5_12 | ~spl5_14 | ~spl5_16 | ~spl5_18 | ~spl5_24 | ~spl5_26 | ~spl5_28 | ~spl5_30 | ~spl5_36 | ~spl5_38)),
10.29/1.71	  inference(equality_resolution,[],[f5553])).
10.29/1.71	tff(f5578,plain,(
10.29/1.71	  ( ! [X0:a] : ((sK0 @ X0 != $true) | t != X0) ) | (~spl5_2 | ~spl5_6 | ~spl5_12 | ~spl5_14 | ~spl5_16 | ~spl5_18 | ~spl5_24 | ~spl5_26 | ~spl5_28 | ~spl5_30 | ~spl5_36 | ~spl5_38)),
10.29/1.71	  inference(duplicate_literal_removal,[],[f5577])).
10.29/1.71	tff(f5590,plain,(
10.29/1.71	  ($true != $true) | t != t | (~spl5_2 | ~spl5_6 | ~spl5_12 | ~spl5_14 | ~spl5_16 | ~spl5_18 | ~spl5_24 | ~spl5_26 | ~spl5_28 | ~spl5_30 | ~spl5_36 | ~spl5_38 | ~spl5_40)),
10.29/1.71	  inference(superposition,[],[f5578,f199])).
10.29/1.71	tff(f5599,plain,(
10.29/1.71	  $false | (~spl5_2 | ~spl5_6 | ~spl5_12 | ~spl5_14 | ~spl5_16 | ~spl5_18 | ~spl5_24 | ~spl5_26 | ~spl5_28 | ~spl5_30 | ~spl5_36 | ~spl5_38 | ~spl5_40)),
10.29/1.71	  inference(trivial_inequality_removal,[],[f5590])).
10.29/1.71	tff(f5600,plain,(
10.29/1.71	  ~spl5_2 | ~spl5_6 | ~spl5_12 | ~spl5_14 | ~spl5_16 | ~spl5_18 | ~spl5_24 | ~spl5_26 | ~spl5_28 | ~spl5_30 | ~spl5_36 | ~spl5_38 | ~spl5_40),
10.29/1.71	  inference(avatar_contradiction_clause,[],[f5599])).
10.29/1.71	tff(f5603,plain,(
10.29/1.71	  $false),
10.29/1.71	  inference(avatar_sat_refutation,[],[f83,f91,f95,f97,f113,f115,f119,f121,f125,f127,f131,f133,f149,f151,f155,f157,f161,f163,f167,f169,f185,f187,f191,f193,f200,f202,f5600])).
10.29/1.71	% SZS output end Proof for theBenchmark
10.29/1.71	% (19221)------------------------------
10.29/1.71	% (19221)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
10.29/1.71	% (19221)Termination reason: Refutation
10.29/1.71	
10.29/1.71	% (19221)Memory used [KB]: 14200
10.29/1.71	% (19221)Time elapsed: 1.293 s
10.29/1.71	% (19221)------------------------------
10.29/1.71	% (19221)------------------------------
10.29/1.71	% (19192)Success in time 1.335 s
10.29/1.72	EOF