0.03/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.13	% Command    : run_vampire %s %d
0.12/0.34	% Computer   : n013.cluster.edu
0.12/0.34	% Model      : x86_64 x86_64
0.12/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.34	% Memory     : 8042.1875MB
0.12/0.34	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.34	% CPULimit   : 960
0.12/0.34	% WCLimit    : 120
0.12/0.34	% DateTime   : Thu Jul  2 07:06:04 EDT 2020
0.12/0.34	% CPUTime    : 
0.19/0.37	% (23336)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
0.19/0.37	% (23337)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
0.19/0.38	% (23340)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
0.19/0.38	% (23341)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
0.19/0.38	% (23335)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
0.19/0.39	% (23348)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
0.19/0.39	% (23349)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
0.19/0.39	% (23359)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
0.19/0.39	% (23363)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
0.19/0.39	% (23361)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
0.19/0.39	% (23362)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
0.19/0.40	% (23344)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
0.19/0.40	% (23351)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
0.19/0.40	% (23347)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
0.19/0.40	% (23353)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
0.19/0.40	% (23354)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
0.19/0.41	% (23343)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
0.19/0.41	% (23345)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
0.19/0.41	% (23346)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
0.19/0.41	% (23338)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
0.19/0.41	% (23339)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
0.19/0.41	% (23356)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
0.19/0.41	% (23358)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
0.19/0.41	% (23357)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
0.19/0.41	% (23350)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
0.19/0.41	% (23352)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
0.19/0.41	% (23355)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
0.19/0.42	% (23342)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
0.19/0.43	% (23360)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
0.19/0.43	% (23334)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
0.19/0.45	% (23344)Refutation not found, incomplete strategy
0.19/0.45	% (23344)------------------------------
0.19/0.45	% (23344)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.19/0.45	% (23344)Termination reason: Refutation not found, incomplete strategy
0.19/0.45	
0.19/0.45	% (23344)Memory used [KB]: 10874
0.19/0.45	% (23344)Time elapsed: 0.091 s
0.19/0.45	% (23344)------------------------------
0.19/0.45	% (23344)------------------------------
0.19/0.49	% (23364)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
3.25/0.77	% (23348)Time limit reached!
3.25/0.77	% (23348)------------------------------
3.25/0.77	% (23348)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
3.25/0.77	% (23348)Termination reason: Time limit
3.25/0.77	
3.25/0.77	% (23348)Memory used [KB]: 6524
3.25/0.77	% (23348)Time elapsed: 0.408 s
3.25/0.77	% (23348)------------------------------
3.25/0.77	% (23348)------------------------------
3.65/0.84	% (23365)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
3.94/0.88	% (23346)Time limit reached!
3.94/0.88	% (23346)------------------------------
3.94/0.88	% (23346)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
3.94/0.88	% (23346)Termination reason: Time limit
3.94/0.88	% (23346)Termination phase: Saturation
3.94/0.88	
3.94/0.88	% (23346)Memory used [KB]: 7803
3.94/0.88	% (23346)Time elapsed: 0.517 s
3.94/0.88	% (23346)------------------------------
3.94/0.88	% (23346)------------------------------
3.94/0.88	% (23345)Time limit reached!
3.94/0.88	% (23345)------------------------------
3.94/0.88	% (23345)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
3.94/0.88	% (23345)Termination reason: Time limit
3.94/0.88	
3.94/0.88	% (23345)Memory used [KB]: 12537
3.94/0.88	% (23345)Time elapsed: 0.516 s
3.94/0.88	% (23345)------------------------------
3.94/0.88	% (23345)------------------------------
3.94/0.88	% (23337)Time limit reached!
3.94/0.88	% (23337)------------------------------
3.94/0.88	% (23337)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
3.94/0.89	% (23335)Time limit reached!
3.94/0.89	% (23335)------------------------------
3.94/0.89	% (23335)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
3.94/0.89	% (23335)Termination reason: Time limit
3.94/0.89	
3.94/0.89	% (23335)Memory used [KB]: 13304
3.94/0.89	% (23335)Time elapsed: 0.529 s
3.94/0.89	% (23335)------------------------------
3.94/0.89	% (23335)------------------------------
3.94/0.90	% (23337)Termination reason: Time limit
3.94/0.90	
3.94/0.90	% (23337)Memory used [KB]: 14072
3.94/0.90	% (23337)Time elapsed: 0.518 s
3.94/0.90	% (23337)------------------------------
3.94/0.90	% (23337)------------------------------
3.94/0.92	% (23366)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
4.46/0.94	% (23334)Time limit reached!
4.46/0.94	% (23334)------------------------------
4.46/0.94	% (23334)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
4.46/0.94	% (23334)Termination reason: Time limit
4.46/0.94	
4.46/0.94	% (23334)Memory used [KB]: 2302
4.46/0.94	% (23334)Time elapsed: 0.561 s
4.46/0.94	% (23334)------------------------------
4.46/0.94	% (23334)------------------------------
4.46/0.94	% (23368)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
4.46/0.95	% (23369)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
4.46/0.95	% (23367)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
4.73/0.98	% (23343)Time limit reached!
4.73/0.98	% (23343)------------------------------
4.73/0.98	% (23343)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
4.73/0.98	% (23343)Termination reason: Time limit
4.73/0.98	% (23343)Termination phase: Saturation
4.73/0.98	
4.73/0.98	% (23343)Memory used [KB]: 13816
4.73/0.98	% (23343)Time elapsed: 0.619 s
4.73/0.98	% (23343)------------------------------
4.73/0.98	% (23343)------------------------------
4.73/1.01	% (23370)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
4.73/1.03	% (23336)Time limit reached!
4.73/1.03	% (23336)------------------------------
4.73/1.03	% (23336)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
4.73/1.03	% (23336)Termination reason: Time limit
4.73/1.03	% (23336)Termination phase: Saturation
4.73/1.03	
4.73/1.03	% (23336)Memory used [KB]: 13560
4.73/1.03	% (23336)Time elapsed: 0.600 s
4.73/1.03	% (23336)------------------------------
4.73/1.03	% (23336)------------------------------
4.73/1.03	% (23371)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
5.66/1.10	% (23372)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
7.07/1.28	% (23352)Time limit reached!
7.07/1.28	% (23352)------------------------------
7.07/1.28	% (23352)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
7.07/1.28	% (23352)Termination reason: Time limit
7.07/1.28	
7.07/1.28	% (23352)Memory used [KB]: 8699
7.07/1.28	% (23352)Time elapsed: 0.918 s
7.07/1.28	% (23352)------------------------------
7.07/1.28	% (23352)------------------------------
7.07/1.31	% (23340)Time limit reached!
7.07/1.31	% (23340)------------------------------
7.07/1.31	% (23340)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
7.07/1.31	% (23340)Termination reason: Time limit
7.07/1.31	
7.07/1.31	% (23340)Memory used [KB]: 12281
7.07/1.31	% (23340)Time elapsed: 0.947 s
7.07/1.31	% (23340)------------------------------
7.07/1.31	% (23340)------------------------------
7.65/1.34	% (23373)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
7.65/1.36	% (23374)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
8.48/1.44	% (23349)Time limit reached!
8.48/1.44	% (23349)------------------------------
8.48/1.44	% (23349)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
8.48/1.44	% (23349)Termination reason: Time limit
8.48/1.44	
8.48/1.44	% (23349)Memory used [KB]: 15479
8.48/1.44	% (23349)Time elapsed: 1.080 s
8.48/1.44	% (23349)------------------------------
8.48/1.44	% (23349)------------------------------
8.71/1.47	% (23356)Time limit reached!
8.71/1.47	% (23356)------------------------------
8.71/1.47	% (23356)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
8.71/1.47	% (23356)Termination reason: Time limit
8.71/1.47	
8.71/1.47	% (23356)Memory used [KB]: 6396
8.71/1.47	% (23356)Time elapsed: 1.108 s
8.71/1.47	% (23356)------------------------------
8.71/1.47	% (23356)------------------------------
8.71/1.48	% (23347)Time limit reached!
8.71/1.48	% (23347)------------------------------
8.71/1.48	% (23347)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
8.71/1.48	% (23353)Time limit reached!
8.71/1.48	% (23353)------------------------------
8.71/1.48	% (23353)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
8.71/1.48	% (23353)Termination reason: Time limit
8.71/1.48	
8.71/1.48	% (23353)Memory used [KB]: 11001
8.71/1.48	% (23353)Time elapsed: 1.116 s
8.71/1.48	% (23353)------------------------------
8.71/1.48	% (23353)------------------------------
8.71/1.49	% (23375)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
8.71/1.49	% (23347)Termination reason: Time limit
8.71/1.49	
8.71/1.49	% (23347)Memory used [KB]: 12281
8.71/1.49	% (23347)Time elapsed: 1.120 s
8.71/1.49	% (23347)------------------------------
8.71/1.49	% (23347)------------------------------
9.12/1.54	% (23376)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
9.12/1.54	% (23378)lrs+10_3:1_av=off:bsr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:cond=on:er=known:gs=on:lcm=reverse:nm=32:nwc=4:stl=30:sp=occurrence:urr=on:updr=off_73 on theBenchmark
9.35/1.56	% (23377)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
10.44/1.74	% (23368)Refutation found. Thanks to Tanya!
10.44/1.74	% SZS status Theorem for theBenchmark
10.44/1.74	% SZS output start Proof for theBenchmark
10.44/1.74	tff(func_def_0, type, a: '$tType').
10.44/1.74	tff(func_def_4, type, ->: ('$tType' * '$tType') > '$tType').
10.44/1.74	tff(func_def_5, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1).
10.44/1.74	tff(func_def_8, type, vIMP: '$o' -> '$o' -> '$o').
10.44/1.74	tff(func_def_9, type, vAND: '$o' -> '$o' -> '$o').
10.44/1.74	tff(func_def_10, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o').
10.44/1.74	tff(func_def_11, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2).
10.44/1.74	tff(func_def_12, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
10.44/1.74	tff(func_def_13, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
10.44/1.74	tff(func_def_14, type, iCOMB: !>[X2: $ttype]:X2 -> X2).
10.44/1.74	tff(func_def_15, type, sK0: (a -> a -> '$o') -> '$o').
10.44/1.74	tff(func_def_16, type, sK1: (a -> a -> '$o') -> '$o').
10.44/1.74	tff(func_def_17, type, sK2: a).
10.44/1.74	tff(func_def_18, type, sK3: a).
10.44/1.74	tff(func_def_19, type, sK4: a -> a -> '$o').
10.44/1.74	tff(func_def_20, type, sK5: (a -> a -> '$o') -> a).
10.44/1.74	tff(func_def_21, type, sK6: (a -> a -> '$o') -> a).
10.44/1.74	tff(func_def_22, type, sK7: (a -> a -> '$o') -> a -> a -> '$o').
10.44/1.74	tff(func_def_23, type, sK8: (a -> a -> '$o') -> a -> a -> '$o').
10.44/1.74	tff(func_def_25, type, sK10: (a -> a -> '$o') -> a).
10.44/1.74	tff(func_def_26, type, sK11: (a -> a -> '$o') -> a).
10.44/1.74	tff(func_def_27, type, sK12: (a -> a -> '$o') -> (a -> a -> '$o') -> a).
10.44/1.74	tff(func_def_28, type, sK13: (a -> a -> '$o') -> (a -> a -> '$o') -> a).
10.44/1.74	tff(func_def_29, type, sK14: a -> a -> (a -> a -> '$o') -> a -> a -> '$o').
10.44/1.74	tff(func_def_30, type, sK15: (a -> a -> '$o') -> (a -> a -> '$o') -> a).
10.44/1.74	tff(func_def_31, type, sK16: (a -> a -> '$o') -> (a -> a -> '$o') -> a).
10.44/1.74	tff(func_def_32, type, sK17: (a -> a -> '$o') -> (a -> a -> '$o') -> a).
10.44/1.74	tff(func_def_33, type, sK18: (a -> a -> '$o') -> (a -> a -> '$o') -> a).
10.44/1.74	tff(func_def_34, type, sK19: (a -> a -> '$o') -> (a -> a -> '$o') -> a -> a -> '$o').
10.44/1.74	tff(func_def_35, type, sK20: (a -> a -> '$o') -> (a -> a -> '$o') -> a).
10.44/1.74	tff(func_def_36, type, sK21: (a -> a -> '$o') -> (a -> a -> '$o') -> a).
10.44/1.74	tff(func_def_37, type, sK22: a -> (a -> a -> '$o') -> a -> (a -> a -> '$o') -> a).
10.44/1.74	tff(func_def_38, type, sK23: a -> (a -> a -> '$o') -> a -> (a -> a -> '$o') -> a -> a -> '$o').
10.44/1.74	tff(func_def_39, type, sK24: a -> (a -> a -> '$o') -> a -> (a -> a -> '$o') -> a -> a -> '$o').
10.44/1.74	tff(func_def_40, type, sK25: (a -> a -> '$o') -> (a -> a -> '$o') -> a).
10.44/1.74	tff(func_def_41, type, sK26: (a -> a -> '$o') -> (a -> a -> '$o') -> a).
10.44/1.74	tff(func_def_42, type, sK27: (a -> a -> '$o') -> (a -> a -> '$o') -> a).
10.44/1.74	tff(func_def_43, type, sK28: (a -> a -> '$o') -> (a -> a -> '$o') -> a).
10.44/1.74	tff(func_def_44, type, sK29: (a -> a -> '$o') -> (a -> a -> '$o') -> a).
10.44/1.74	tff(func_def_45, type, sK30: (a -> a -> '$o') -> (a -> a -> '$o') -> a -> a -> '$o').
10.44/1.74	tff(func_def_46, type, sK31: (a -> a -> '$o') -> (a -> a -> '$o') -> a -> a -> '$o').
10.44/1.74	tff(func_def_47, type, sK32: (a -> a -> '$o') -> (a -> a -> '$o') -> a).
10.44/1.74	tff(func_def_48, type, sK33: (a -> a -> '$o') -> (a -> a -> '$o') -> a).
10.44/1.74	tff(func_def_49, type, sK34: (a -> a -> '$o') -> (a -> a -> '$o') -> a).
10.44/1.74	tff(func_def_50, type, sK35: (a -> a -> '$o') -> (a -> a -> '$o') -> a).
10.44/1.74	tff(f1,conjecture,(
10.44/1.74	  ! [X0 : (a -> a -> '$o') -> '$o',X1 : (a -> a -> '$o') -> '$o',X2 : a,X3 : a] : (! [X4 : a -> a -> '$o'] : ((X0 @ X4 & ! [X5 : a,X6 : a] : (? [X7 : a -> a -> '$o'] : (? [X8 : a -> a -> '$o'] : (X1 @ X8 & X7 = (^[X9 : a, X10 : a] : ! [X11 : a -> a -> '$o'] : ((X0 @ X11 & ! [X12 : a,X13 : a] : (X8 @ X12 @ X13 => X11 @ X12 @ X13)) => X11 @ X9 @ X10))) & X7 @ X5 @ X6) => X4 @ X5 @ X6)) => X4 @ X2 @ X3) => ! [X4 : a -> a -> '$o'] : ((X0 @ X4 & ! [X5 : a,X6 : a] : (? [X7 : a -> a -> '$o'] : (X1 @ X7 & X7 @ X5 @ X6) => X4 @ X5 @ X6)) => X4 @ X2 @ X3))),
10.44/1.74	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM254_B_pme)).
10.44/1.74	tff(f2,negated_conjecture,(
10.44/1.74	  ~! [X0 : (a -> a -> '$o') -> '$o',X1 : (a -> a -> '$o') -> '$o',X2 : a,X3 : a] : (! [X4 : a -> a -> '$o'] : ((X0 @ X4 & ! [X5 : a,X6 : a] : (? [X7 : a -> a -> '$o'] : (? [X8 : a -> a -> '$o'] : (X1 @ X8 & X7 = (^[X9 : a, X10 : a] : ! [X11 : a -> a -> '$o'] : ((X0 @ X11 & ! [X12 : a,X13 : a] : (X8 @ X12 @ X13 => X11 @ X12 @ X13)) => X11 @ X9 @ X10))) & X7 @ X5 @ X6) => X4 @ X5 @ X6)) => X4 @ X2 @ X3) => ! [X4 : a -> a -> '$o'] : ((X0 @ X4 & ! [X5 : a,X6 : a] : (? [X7 : a -> a -> '$o'] : (X1 @ X7 & X7 @ X5 @ X6) => X4 @ X5 @ X6)) => X4 @ X2 @ X3))),
10.44/1.74	  inference(negated_conjecture,[],[f1])).
10.44/1.74	tff(f3,plain,(
10.44/1.74	  ~! [X0 : (a -> a -> '$o') -> '$o',X1 : (a -> a -> '$o') -> '$o',X2 : a,X3 : a] : (! [X4 : a -> a -> '$o'] : ((X0 @ X4 & ! [X5 : a,X6 : a] : (? [X7 : a -> a -> '$o'] : (? [X8 : a -> a -> '$o'] : (X1 @ X8 & X7 = (^[X9 : a, X10 : a] : ! [X11 : a -> a -> '$o'] : ((X0 @ X11 & ! [X12 : a,X13 : a] : (X8 @ X12 @ X13 => X11 @ X12 @ X13)) => X11 @ X9 @ X10))) & X7 @ X5 @ X6) => X4 @ X5 @ X6)) => X4 @ X2 @ X3) => ! [X14 : a -> a -> '$o'] : ((X0 @ X14 & ! [X15 : a,X16 : a] : (? [X17 : a -> a -> '$o'] : (X1 @ X17 & X17 @ X15 @ X16) => X14 @ X15 @ X16)) => X14 @ X2 @ X3))),
10.44/1.74	  inference(rectify,[],[f2])).
10.44/1.74	tff(f4,plain,(
10.44/1.74	  ~! [X0 : (a -> a -> '$o') -> '$o',X1 : (a -> a -> '$o') -> '$o',X2 : a,X3 : a] : (! [X4 : a -> a -> '$o'] : (((X0 @ X4 = $true) & ! [X5 : a,X6 : a] : (? [X7 : a -> a -> '$o'] : (? [X8 : a -> a -> '$o'] : ((X1 @ X8 = $true) & bCOMB @ (bCOMB @ vPI(a -> a -> '$o')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (bCOMB @ vPI(a) @ (bCOMB @ (bCOMB @ vPI(a)) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ X8)))) @ cCOMB)))) @ X0)))) @ (bCOMB @ cCOMB @ (cCOMB @ iCOMB))) = X7) & (X7 @ X5 @ X6 = $true)) => (X4 @ X5 @ X6 = $true))) => (X4 @ X2 @ X3 = $true)) => ! [X14 : a -> a -> '$o'] : (((X0 @ X14 = $true) & ! [X15 : a,X16 : a] : (? [X17 : a -> a -> '$o'] : ((X1 @ X17 = $true) & (X17 @ X15 @ X16 = $true)) => (X14 @ X15 @ X16 = $true))) => (X14 @ X2 @ X3 = $true)))),
10.44/1.74	  inference(fool_elimination,[],[f3])).
10.44/1.74	tff(f5,plain,(
10.44/1.74	  ~! [X0 : (a -> a -> '$o') -> '$o',X1 : (a -> a -> '$o') -> '$o',X2 : a,X3 : a] : (! [X4 : a -> a -> '$o'] : (((X0 @ X4 = $true) & ! [X5 : a,X6 : a] : (? [X7 : a -> a -> '$o'] : (? [X8 : a -> a -> '$o'] : ((X1 @ X8 = $true) & bCOMB @ (bCOMB @ vPI(a -> a -> '$o')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (bCOMB @ vPI(a) @ (bCOMB @ (bCOMB @ vPI(a)) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ X8)))) @ cCOMB)))) @ X0)))) @ (bCOMB @ cCOMB @ (cCOMB @ iCOMB))) = X7) & (X7 @ X5 @ X6 = $true)) => (X4 @ X5 @ X6 = $true))) => (X4 @ X2 @ X3 = $true)) => ! [X9 : a -> a -> '$o'] : (((X0 @ X9 = $true) & ! [X10 : a,X11 : a] : (? [X12 : a -> a -> '$o'] : ((X1 @ X12 = $true) & (X12 @ X10 @ X11 = $true)) => (X9 @ X10 @ X11 = $true))) => (X9 @ X2 @ X3 = $true)))),
10.44/1.74	  inference(rectify,[],[f4])).
10.44/1.75	tff(f6,plain,(
10.44/1.75	  ? [X0 : (a -> a -> '$o') -> '$o',X1 : (a -> a -> '$o') -> '$o',X2 : a,X3 : a] : (? [X9 : a -> a -> '$o'] : ((X9 @ X2 @ X3 != $true) & ((X0 @ X9 = $true) & ! [X10 : a,X11 : a] : ((X9 @ X10 @ X11 = $true) | ! [X12 : a -> a -> '$o'] : ((X1 @ X12 != $true) | (X12 @ X10 @ X11 != $true))))) & ! [X4 : a -> a -> '$o'] : ((X4 @ X2 @ X3 = $true) | ((X0 @ X4 != $true) | ? [X5 : a,X6 : a] : ((X4 @ X5 @ X6 != $true) & ? [X7 : a -> a -> '$o'] : (? [X8 : a -> a -> '$o'] : ((X1 @ X8 = $true) & bCOMB @ (bCOMB @ vPI(a -> a -> '$o')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (bCOMB @ vPI(a) @ (bCOMB @ (bCOMB @ vPI(a)) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ X8)))) @ cCOMB)))) @ X0)))) @ (bCOMB @ cCOMB @ (cCOMB @ iCOMB))) = X7) & (X7 @ X5 @ X6 = $true))))))),
10.44/1.75	  inference(ennf_transformation,[],[f5])).
10.44/1.75	tff(f7,plain,(
10.44/1.75	  ? [X0 : (a -> a -> '$o') -> '$o',X1 : (a -> a -> '$o') -> '$o',X2 : a,X3 : a] : (? [X9 : a -> a -> '$o'] : ((X9 @ X2 @ X3 != $true) & (X0 @ X9 = $true) & ! [X10 : a,X11 : a] : ((X9 @ X10 @ X11 = $true) | ! [X12 : a -> a -> '$o'] : ((X1 @ X12 != $true) | (X12 @ X10 @ X11 != $true)))) & ! [X4 : a -> a -> '$o'] : ((X4 @ X2 @ X3 = $true) | (X0 @ X4 != $true) | ? [X5 : a,X6 : a] : ((X4 @ X5 @ X6 != $true) & ? [X7 : a -> a -> '$o'] : (? [X8 : a -> a -> '$o'] : ((X1 @ X8 = $true) & bCOMB @ (bCOMB @ vPI(a -> a -> '$o')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (bCOMB @ vPI(a) @ (bCOMB @ (bCOMB @ vPI(a)) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ X8)))) @ cCOMB)))) @ X0)))) @ (bCOMB @ cCOMB @ (cCOMB @ iCOMB))) = X7) & (X7 @ X5 @ X6 = $true)))))),
10.44/1.75	  inference(flattening,[],[f6])).
10.44/1.75	tff(f8,plain,(
10.44/1.75	  ? [X0 : (a -> a -> '$o') -> '$o',X1 : (a -> a -> '$o') -> '$o',X2 : a,X3 : a] : (? [X4 : a -> a -> '$o'] : ((X4 @ X2 @ X3 != $true) & (X0 @ X4 = $true) & ! [X5 : a,X6 : a] : ((X4 @ X5 @ X6 = $true) | ! [X7 : a -> a -> '$o'] : ((X1 @ X7 != $true) | (X7 @ X5 @ X6 != $true)))) & ! [X8 : a -> a -> '$o'] : ((X8 @ X2 @ X3 = $true) | (X0 @ X8 != $true) | ? [X9 : a,X10 : a] : ((X8 @ X9 @ X10 != $true) & ? [X11 : a -> a -> '$o'] : (? [X12 : a -> a -> '$o'] : ((X1 @ X12 = $true) & bCOMB @ (bCOMB @ vPI(a -> a -> '$o')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (bCOMB @ vPI(a) @ (bCOMB @ (bCOMB @ vPI(a)) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ X12)))) @ cCOMB)))) @ X0)))) @ (bCOMB @ cCOMB @ (cCOMB @ iCOMB))) = X11) & (X11 @ X9 @ X10 = $true)))))),
10.44/1.75	  inference(rectify,[],[f7])).
10.98/1.75	tff(f9,plain,(
10.98/1.75	  ? [X0 : (a -> a -> '$o') -> '$o',X1 : (a -> a -> '$o') -> '$o',X2 : a,X3 : a] : (? [X4 : a -> a -> '$o'] : ((X4 @ X2 @ X3 != $true) & (X0 @ X4 = $true) & ! [X5 : a,X6 : a] : ((X4 @ X5 @ X6 = $true) | ! [X7 : a -> a -> '$o'] : ((X1 @ X7 != $true) | (X7 @ X5 @ X6 != $true)))) & ! [X8 : a -> a -> '$o'] : ((X8 @ X2 @ X3 = $true) | (X0 @ X8 != $true) | ? [X9 : a,X10 : a] : ((X8 @ X9 @ X10 != $true) & ? [X11 : a -> a -> '$o'] : (? [X12 : a -> a -> '$o'] : ((X1 @ X12 = $true) & bCOMB @ (bCOMB @ vPI(a -> a -> '$o')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (bCOMB @ vPI(a) @ (bCOMB @ (bCOMB @ vPI(a)) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ X12)))) @ cCOMB)))) @ X0)))) @ (bCOMB @ cCOMB @ (cCOMB @ iCOMB))) = X11) & (X11 @ X9 @ X10 = $true))))) => (? [X4 : a -> a -> '$o'] : ((X4 @ sK2 @ sK3 != $true) & (sK0 @ X4 = $true) & ! [X6 : a,X5 : a] : ((X4 @ X5 @ X6 = $true) | ! [X7 : a -> a -> '$o'] : ((sK1 @ X7 != $true) | (X7 @ X5 @ X6 != $true)))) & ! [X8 : a -> a -> '$o'] : ((X8 @ sK2 @ sK3 = $true) | (sK0 @ X8 != $true) | ? [X10 : a,X9 : a] : ((X8 @ X9 @ X10 != $true) & ? [X11 : a -> a -> '$o'] : (? [X12 : a -> a -> '$o'] : ((sK1 @ X12 = $true) & bCOMB @ (bCOMB @ vPI(a -> a -> '$o')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (bCOMB @ vPI(a) @ (bCOMB @ (bCOMB @ vPI(a)) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ X12)))) @ cCOMB)))) @ sK0)))) @ (bCOMB @ cCOMB @ (cCOMB @ iCOMB))) = X11) & (X11 @ X9 @ X10 = $true)))))),
10.98/1.75	  introduced(choice_axiom,[])).
10.98/1.75	tff(f10,plain,(
10.98/1.75	  ? [X4 : a -> a -> '$o'] : ((X4 @ sK2 @ sK3 != $true) & (sK0 @ X4 = $true) & ! [X6 : a,X5 : a] : ((X4 @ X5 @ X6 = $true) | ! [X7 : a -> a -> '$o'] : ((sK1 @ X7 != $true) | (X7 @ X5 @ X6 != $true)))) => ((sK4 @ sK2 @ sK3 != $true) & (sK0 @ sK4 = $true) & ! [X6 : a,X5 : a] : ((sK4 @ X5 @ X6 = $true) | ! [X7 : a -> a -> '$o'] : ((sK1 @ X7 != $true) | (X7 @ X5 @ X6 != $true))))),
10.98/1.75	  introduced(choice_axiom,[])).
10.98/1.75	tff(f11,plain,(
10.98/1.75	  ! [X8 : a -> a -> '$o'] : (? [X10 : a,X9 : a] : ((X8 @ X9 @ X10 != $true) & ? [X11 : a -> a -> '$o'] : (? [X12 : a -> a -> '$o'] : ((sK1 @ X12 = $true) & bCOMB @ (bCOMB @ vPI(a -> a -> '$o')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (bCOMB @ vPI(a) @ (bCOMB @ (bCOMB @ vPI(a)) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ X12)))) @ cCOMB)))) @ sK0)))) @ (bCOMB @ cCOMB @ (cCOMB @ iCOMB))) = X11) & (X11 @ X9 @ X10 = $true))) => ((X8 @ (sK5 @ X8) @ (sK6 @ X8) != $true) & ? [X11 : a -> a -> '$o'] : (? [X12 : a -> a -> '$o'] : ((sK1 @ X12 = $true) & bCOMB @ (bCOMB @ vPI(a -> a -> '$o')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (bCOMB @ vPI(a) @ (bCOMB @ (bCOMB @ vPI(a)) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ X12)))) @ cCOMB)))) @ sK0)))) @ (bCOMB @ cCOMB @ (cCOMB @ iCOMB))) = X11) & (X11 @ (sK5 @ X8) @ (sK6 @ X8) = $true))))),
10.98/1.75	  introduced(choice_axiom,[])).
10.98/1.75	tff(f12,plain,(
10.98/1.75	  ! [X8 : a -> a -> '$o'] : (? [X11 : a -> a -> '$o'] : (? [X12 : a -> a -> '$o'] : ((sK1 @ X12 = $true) & bCOMB @ (bCOMB @ vPI(a -> a -> '$o')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (bCOMB @ vPI(a) @ (bCOMB @ (bCOMB @ vPI(a)) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ X12)))) @ cCOMB)))) @ sK0)))) @ (bCOMB @ cCOMB @ (cCOMB @ iCOMB))) = X11) & (X11 @ (sK5 @ X8) @ (sK6 @ X8) = $true)) => (? [X12 : a -> a -> '$o'] : ((sK1 @ X12 = $true) & sK7 @ X8 = bCOMB @ (bCOMB @ vPI(a -> a -> '$o')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (bCOMB @ vPI(a) @ (bCOMB @ (bCOMB @ vPI(a)) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ X12)))) @ cCOMB)))) @ sK0)))) @ (bCOMB @ cCOMB @ (cCOMB @ iCOMB)))) & (sK7 @ X8 @ (sK5 @ X8) @ (sK6 @ X8) = $true)))),
10.98/1.75	  introduced(choice_axiom,[])).
11.14/1.77	tff(f13,plain,(
11.14/1.77	  ! [X8 : a -> a -> '$o'] : (? [X12 : a -> a -> '$o'] : ((sK1 @ X12 = $true) & sK7 @ X8 = bCOMB @ (bCOMB @ vPI(a -> a -> '$o')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (bCOMB @ vPI(a) @ (bCOMB @ (bCOMB @ vPI(a)) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ X12)))) @ cCOMB)))) @ sK0)))) @ (bCOMB @ cCOMB @ (cCOMB @ iCOMB)))) => ((sK1 @ (sK8 @ X8) = $true) & sK7 @ X8 = bCOMB @ (bCOMB @ vPI(a -> a -> '$o')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (bCOMB @ vPI(a) @ (bCOMB @ (bCOMB @ vPI(a)) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (sK8 @ X8))))) @ cCOMB)))) @ sK0)))) @ (bCOMB @ cCOMB @ (cCOMB @ iCOMB)))))),
11.14/1.77	  introduced(choice_axiom,[])).
11.14/1.77	tff(f14,plain,(
11.14/1.77	  ((sK4 @ sK2 @ sK3 != $true) & (sK0 @ sK4 = $true) & ! [X5 : a,X6 : a] : ((sK4 @ X5 @ X6 = $true) | ! [X7 : a -> a -> '$o'] : ((sK1 @ X7 != $true) | (X7 @ X5 @ X6 != $true)))) & ! [X8 : a -> a -> '$o'] : ((X8 @ sK2 @ sK3 = $true) | (sK0 @ X8 != $true) | ((X8 @ (sK5 @ X8) @ (sK6 @ X8) != $true) & (((sK1 @ (sK8 @ X8) = $true) & sK7 @ X8 = bCOMB @ (bCOMB @ vPI(a -> a -> '$o')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (bCOMB @ vPI(a) @ (bCOMB @ (bCOMB @ vPI(a)) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (sK8 @ X8))))) @ cCOMB)))) @ sK0)))) @ (bCOMB @ cCOMB @ (cCOMB @ iCOMB)))) & (sK7 @ X8 @ (sK5 @ X8) @ (sK6 @ X8) = $true))))),
11.14/1.77	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f8,f13,f12,f11,f10,f9])).
11.14/1.77	tff(f15,plain,(
11.14/1.77	  ( ! [X8:a -> a -> '$o'] : ((sK7 @ X8 @ (sK5 @ X8) @ (sK6 @ X8) = $true) | (sK0 @ X8 != $true) | (X8 @ sK2 @ sK3 = $true)) )),
11.14/1.77	  inference(cnf_transformation,[],[f14])).
11.14/1.77	tff(f16,plain,(
11.14/1.77	  ( ! [X8:a -> a -> '$o'] : (sK7 @ X8 = bCOMB @ (bCOMB @ vPI(a -> a -> '$o')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (bCOMB @ vPI(a) @ (bCOMB @ (bCOMB @ vPI(a)) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (sK8 @ X8))))) @ cCOMB)))) @ sK0)))) @ (bCOMB @ cCOMB @ (cCOMB @ iCOMB))) | (sK0 @ X8 != $true) | (X8 @ sK2 @ sK3 = $true)) )),
11.14/1.77	  inference(cnf_transformation,[],[f14])).
11.14/1.77	tff(f17,plain,(
11.14/1.77	  ( ! [X8:a -> a -> '$o'] : ((sK1 @ (sK8 @ X8) = $true) | (sK0 @ X8 != $true) | (X8 @ sK2 @ sK3 = $true)) )),
11.14/1.77	  inference(cnf_transformation,[],[f14])).
11.14/1.77	tff(f18,plain,(
11.14/1.77	  ( ! [X8:a -> a -> '$o'] : ((X8 @ (sK5 @ X8) @ (sK6 @ X8) != $true) | (sK0 @ X8 != $true) | (X8 @ sK2 @ sK3 = $true)) )),
11.14/1.77	  inference(cnf_transformation,[],[f14])).
11.14/1.77	tff(f19,plain,(
11.14/1.77	  ( ! [X6:a,X7:a -> a -> '$o',X5:a] : ((sK4 @ X5 @ X6 = $true) | (sK1 @ X7 != $true) | (X7 @ X5 @ X6 != $true)) )),
11.14/1.77	  inference(cnf_transformation,[],[f14])).
11.14/1.77	tff(f20,plain,(
11.14/1.77	  (sK0 @ sK4 = $true)),
11.14/1.77	  inference(cnf_transformation,[],[f14])).
11.14/1.77	tff(f21,plain,(
11.14/1.77	  (sK4 @ sK2 @ sK3 != $true)),
11.14/1.77	  inference(cnf_transformation,[],[f14])).
11.14/1.77	tff(f23,plain,(
11.14/1.77	  ($true != $true) | (sK4 @ sK2 @ sK3 = $false)),
11.14/1.77	  inference(fool_paramodulation,[],[f21])).
11.14/1.77	tff(f24,plain,(
11.14/1.77	  (sK4 @ sK2 @ sK3 = $false)),
11.14/1.77	  inference(trivial_inequality_removal,[],[f23])).
11.14/1.77	tff(f43,plain,(
11.14/1.77	  ( ! [X8:a -> a -> '$o'] : (($true != $true) | (sK0 @ X8 != $true) | (X8 @ sK2 @ sK3 = $true) | (X8 @ (sK5 @ X8) @ (sK6 @ X8) = $false)) )),
11.14/1.77	  inference(fool_paramodulation,[],[f18])).
11.14/1.77	tff(f46,plain,(
11.14/1.77	  ( ! [X8:a -> a -> '$o'] : ((X8 @ (sK5 @ X8) @ (sK6 @ X8) = $false) | (X8 @ sK2 @ sK3 = $true) | (sK0 @ X8 != $true)) )),
11.14/1.77	  inference(trivial_inequality_removal,[],[f43])).
11.14/1.77	tff(f87,plain,(
11.14/1.77	  ( ! [X8:a -> a -> '$o',X9:a] : (sK7 @ X8 @ X9 = bCOMB @ (bCOMB @ vPI(a -> a -> '$o')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (bCOMB @ vPI(a) @ (bCOMB @ (bCOMB @ vPI(a)) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (sK8 @ X8))))) @ cCOMB)))) @ sK0)))) @ (bCOMB @ cCOMB @ (cCOMB @ iCOMB))) @ X9 | (sK0 @ X8 != $true) | (X8 @ sK2 @ sK3 = $true)) )),
11.14/1.77	  inference(argument_congruence,[],[f16])).
11.14/1.77	tff(f94,plain,(
11.14/1.77	  ( ! [X8:a -> a -> '$o',X9:a] : (sK7 @ X8 @ X9 = bCOMB @ vPI(a -> a -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (bCOMB @ vPI(a) @ (bCOMB @ (bCOMB @ vPI(a)) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (sK8 @ X8))))) @ cCOMB)))) @ sK0))) @ (cCOMB @ (cCOMB @ iCOMB @ X9))) | (sK0 @ X8 != $true) | (X8 @ sK2 @ sK3 = $true)) )),
11.14/1.77	  inference(combinator_demodulation,[],[f87])).
11.14/1.77	tff(f105,plain,(
11.14/1.77	  ( ! [X10:a,X8:a -> a -> '$o',X9:a] : ((sK7 @ X8 @ X9 @ X10 = bCOMB @ vPI(a -> a -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (bCOMB @ vPI(a) @ (bCOMB @ (bCOMB @ vPI(a)) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (sK8 @ X8))))) @ cCOMB)))) @ sK0))) @ (cCOMB @ (cCOMB @ iCOMB @ X9))) @ X10) | (sK0 @ X8 != $true) | (X8 @ sK2 @ sK3 = $true)) )),
11.14/1.77	  inference(argument_congruence,[],[f94])).
11.14/1.77	tff(f110,plain,(
11.14/1.77	  ( ! [X10:a,X8:a -> a -> '$o',X9:a] : ((sK7 @ X8 @ X9 @ X10 = vPI(a -> a -> '$o') @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (bCOMB @ vPI(a) @ (bCOMB @ (bCOMB @ vPI(a)) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (sK8 @ X8))))) @ cCOMB)))) @ sK0)) @ (cCOMB @ (cCOMB @ iCOMB @ X9) @ X10))) | (sK0 @ X8 != $true) | (X8 @ sK2 @ sK3 = $true)) )),
11.14/1.77	  inference(combinator_demodulation,[],[f105])).
11.14/1.77	tff(f112,plain,(
11.14/1.77	  ( ! [X10:a,X8:a -> a -> '$o',X9:a] : ((sK7 @ X8 @ X9 @ X10 = $false) | (sK0 @ X8 != $true) | (X8 @ sK2 @ sK3 = $true) | (vPI(a -> a -> '$o') @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (bCOMB @ vPI(a) @ (bCOMB @ (bCOMB @ vPI(a)) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (sK8 @ X8))))) @ cCOMB)))) @ sK0)) @ (cCOMB @ (cCOMB @ iCOMB @ X9) @ X10)) = $true)) )),
11.14/1.77	  inference(binary_proxy_clausification,[],[f110])).
11.14/1.77	tff(f113,plain,(
11.14/1.77	  ( ! [X10:a,X8:a -> a -> '$o',X11:a -> a -> '$o',X9:a] : ((sK7 @ X8 @ X9 @ X10 = $false) | (sK0 @ X8 != $true) | (X8 @ sK2 @ sK3 = $true) | (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (bCOMB @ vPI(a) @ (bCOMB @ (bCOMB @ vPI(a)) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (sK8 @ X8))))) @ cCOMB)))) @ sK0)) @ (cCOMB @ (cCOMB @ iCOMB @ X9) @ X10) @ X11 = $true)) )),
11.14/1.77	  inference(pi_clausification,[],[f112])).
11.14/1.77	tff(f114,plain,(
11.14/1.77	  ( ! [X10:a,X8:a -> a -> '$o',X11:a -> a -> '$o',X9:a] : ((sK7 @ X8 @ X9 @ X10 = $false) | (sK0 @ X8 != $true) | (X8 @ sK2 @ sK3 = $true) | (vIMP @ (vAND @ (vPI(a) @ (bCOMB @ vPI(a) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (sK8 @ X8)))) @ (cCOMB @ X11)))) @ (sK0 @ X11)) @ (X11 @ X9 @ X10) = $true)) )),
11.14/1.77	  inference(combinator_demodulation,[],[f113])).
11.14/1.77	tff(f115,plain,(
11.14/1.77	  ( ! [X10:a,X8:a -> a -> '$o',X11:a -> a -> '$o',X9:a] : ((sK7 @ X8 @ X9 @ X10 = $false) | (sK0 @ X8 != $true) | (X8 @ sK2 @ sK3 = $true) | (vAND @ (vPI(a) @ (bCOMB @ vPI(a) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (sK8 @ X8)))) @ (cCOMB @ X11)))) @ (sK0 @ X11) = $false) | (X11 @ X9 @ X10 = $true)) )),
11.14/1.77	  inference(binary_proxy_clausification,[],[f114])).
11.14/1.77	tff(f116,plain,(
11.14/1.77	  ( ! [X10:a,X8:a -> a -> '$o',X11:a -> a -> '$o',X9:a] : ((sK7 @ X8 @ X9 @ X10 = $false) | (sK0 @ X8 != $true) | (X8 @ sK2 @ sK3 = $true) | (vPI(a) @ (bCOMB @ vPI(a) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (sK8 @ X8)))) @ (cCOMB @ X11))) = $false) | (X11 @ X9 @ X10 = $true) | (sK0 @ X11 = $false)) )),
11.14/1.77	  inference(binary_proxy_clausification,[],[f115])).
11.14/1.77	tff(f117,plain,(
11.14/1.77	  ( ! [X10:a,X8:a -> a -> '$o',X11:a -> a -> '$o',X9:a] : ((sK7 @ X8 @ X9 @ X10 = $false) | (sK0 @ X8 != $true) | (X8 @ sK2 @ sK3 = $true) | (bCOMB @ vPI(a) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (sK8 @ X8)))) @ (cCOMB @ X11)) @ (sK12 @ X11 @ X8) = $false) | (X11 @ X9 @ X10 = $true) | (sK0 @ X11 = $false)) )),
11.14/1.77	  inference(sigma_clausification,[],[f116])).
11.14/1.77	tff(f118,plain,(
11.14/1.77	  ( ! [X10:a,X8:a -> a -> '$o',X11:a -> a -> '$o',X9:a] : ((sK7 @ X8 @ X9 @ X10 = $false) | (sK0 @ X8 != $true) | (X8 @ sK2 @ sK3 = $true) | (vPI(a) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (sK8 @ X8) @ (sK12 @ X11 @ X8))) @ (cCOMB @ X11 @ (sK12 @ X11 @ X8))) = $false) | (X11 @ X9 @ X10 = $true) | (sK0 @ X11 = $false)) )),
11.14/1.77	  inference(combinator_demodulation,[],[f117])).
11.14/1.77	tff(f119,plain,(
11.14/1.77	  ( ! [X10:a,X8:a -> a -> '$o',X11:a -> a -> '$o',X9:a] : ((sK7 @ X8 @ X9 @ X10 = $false) | (sK0 @ X8 != $true) | (X8 @ sK2 @ sK3 = $true) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (sK8 @ X8) @ (sK12 @ X11 @ X8))) @ (cCOMB @ X11 @ (sK12 @ X11 @ X8)) @ (sK13 @ X11 @ X8) = $false) | (X11 @ X9 @ X10 = $true) | (sK0 @ X11 = $false)) )),
11.14/1.77	  inference(sigma_clausification,[],[f118])).
11.14/1.77	tff(f120,plain,(
11.14/1.77	  ( ! [X10:a,X8:a -> a -> '$o',X11:a -> a -> '$o',X9:a] : ((sK7 @ X8 @ X9 @ X10 = $false) | (sK0 @ X8 != $true) | (X8 @ sK2 @ sK3 = $true) | (vIMP @ (sK8 @ X8 @ (sK13 @ X11 @ X8) @ (sK12 @ X11 @ X8)) @ (X11 @ (sK13 @ X11 @ X8) @ (sK12 @ X11 @ X8)) = $false) | (X11 @ X9 @ X10 = $true) | (sK0 @ X11 = $false)) )),
11.14/1.77	  inference(combinator_demodulation,[],[f119])).
11.14/1.77	tff(f121,plain,(
11.14/1.77	  ( ! [X10:a,X8:a -> a -> '$o',X11:a -> a -> '$o',X9:a] : ((sK8 @ X8 @ (sK13 @ X11 @ X8) @ (sK12 @ X11 @ X8) = $true) | (sK0 @ X8 != $true) | (X8 @ sK2 @ sK3 = $true) | (sK7 @ X8 @ X9 @ X10 = $false) | (X11 @ X9 @ X10 = $true) | (sK0 @ X11 = $false)) )),
11.14/1.77	  inference(binary_proxy_clausification,[],[f120])).
11.14/1.77	tff(f122,plain,(
11.14/1.77	  ( ! [X10:a,X8:a -> a -> '$o',X11:a -> a -> '$o',X9:a] : ((X11 @ (sK13 @ X11 @ X8) @ (sK12 @ X11 @ X8) = $false) | (sK0 @ X8 != $true) | (X8 @ sK2 @ sK3 = $true) | (sK7 @ X8 @ X9 @ X10 = $false) | (X11 @ X9 @ X10 = $true) | (sK0 @ X11 = $false)) )),
11.14/1.77	  inference(binary_proxy_clausification,[],[f120])).
11.14/1.77	tff(f292,plain,(
11.14/1.77	  ( ! [X2:a,X0:a -> a -> '$o',X3:a -> a -> '$o',X1:a] : (($false = $true) | (sK0 @ X0 != $true) | (X0 @ sK2 @ sK3 = $true) | (sK7 @ X0 @ X1 @ X2 = $false) | (sK4 @ X1 @ X2 = $true) | (sK0 @ sK4 = $false) | (sK1 @ X3 != $true) | (X3 @ (sK13 @ sK4 @ X0) @ (sK12 @ sK4 @ X0) != $true)) )),
11.14/1.77	  inference(superposition,[],[f122,f19])).
11.14/1.77	tff(f302,plain,(
11.14/1.77	  ( ! [X2:a,X0:a -> a -> '$o',X3:a -> a -> '$o',X1:a] : ((sK0 @ X0 != $true) | (X0 @ sK2 @ sK3 = $true) | (sK7 @ X0 @ X1 @ X2 = $false) | (sK4 @ X1 @ X2 = $true) | (sK0 @ sK4 = $false) | (sK1 @ X3 != $true) | (X3 @ (sK13 @ sK4 @ X0) @ (sK12 @ sK4 @ X0) != $true)) )),
11.14/1.77	  inference(trivial_inequality_removal,[],[f292])).
11.14/1.77	tff(f303,plain,(
11.14/1.77	  ( ! [X2:a,X0:a -> a -> '$o',X3:a -> a -> '$o',X1:a] : (($false = $true) | (sK0 @ X0 != $true) | (X0 @ sK2 @ sK3 = $true) | (sK7 @ X0 @ X1 @ X2 = $false) | (sK4 @ X1 @ X2 = $true) | (sK1 @ X3 != $true) | (X3 @ (sK13 @ sK4 @ X0) @ (sK12 @ sK4 @ X0) != $true)) )),
11.14/1.77	  inference(forward_demodulation,[],[f302,f20])).
11.14/1.77	tff(f304,plain,(
11.14/1.77	  ( ! [X2:a,X0:a -> a -> '$o',X3:a -> a -> '$o',X1:a] : ((X3 @ (sK13 @ sK4 @ X0) @ (sK12 @ sK4 @ X0) != $true) | (X0 @ sK2 @ sK3 = $true) | (sK7 @ X0 @ X1 @ X2 = $false) | (sK4 @ X1 @ X2 = $true) | (sK1 @ X3 != $true) | (sK0 @ X0 != $true)) )),
11.14/1.77	  inference(trivial_inequality_removal,[],[f303])).
11.14/1.77	tff(f370,plain,(
11.14/1.77	  ( ! [X14:a -> a -> '$o',X17:a,X15:a,X18:a,X16:a] : (($true != $true) | (X14 @ sK2 @ sK3 = $true) | (sK7 @ X14 @ X15 @ X16 = $false) | (sK4 @ X15 @ X16 = $true) | (sK1 @ (sK8 @ X14) != $true) | (sK0 @ X14 != $true) | (sK0 @ X14 != $true) | (X14 @ sK2 @ sK3 = $true) | (sK7 @ X14 @ X17 @ X18 = $false) | (sK4 @ X17 @ X18 = $true) | (sK0 @ sK4 = $false)) )),
11.14/1.77	  inference(superposition,[],[f304,f121])).
11.14/1.77	tff(f373,plain,(
11.14/1.77	  ( ! [X14:a -> a -> '$o',X17:a,X15:a,X18:a,X16:a] : (($true != $true) | (X14 @ sK2 @ sK3 = $true) | (sK7 @ X14 @ X15 @ X16 = $false) | (sK4 @ X15 @ X16 = $true) | (sK1 @ (sK8 @ X14) != $true) | (sK0 @ X14 != $true) | (sK7 @ X14 @ X17 @ X18 = $false) | (sK4 @ X17 @ X18 = $true) | (sK0 @ sK4 = $false)) )),
11.14/1.77	  inference(duplicate_literal_removal,[],[f370])).
11.14/1.77	tff(f374,plain,(
11.14/1.77	  ( ! [X14:a -> a -> '$o',X17:a,X15:a,X18:a,X16:a] : ((X14 @ sK2 @ sK3 = $true) | (sK7 @ X14 @ X15 @ X16 = $false) | (sK4 @ X15 @ X16 = $true) | (sK1 @ (sK8 @ X14) != $true) | (sK0 @ X14 != $true) | (sK7 @ X14 @ X17 @ X18 = $false) | (sK4 @ X17 @ X18 = $true) | (sK0 @ sK4 = $false)) )),
11.14/1.77	  inference(trivial_inequality_removal,[],[f373])).
11.14/1.77	tff(f393,plain,(
11.14/1.77	  ( ! [X14:a -> a -> '$o',X17:a,X15:a,X18:a,X16:a] : ((X14 @ sK2 @ sK3 = $true) | (sK7 @ X14 @ X15 @ X16 = $false) | (sK4 @ X15 @ X16 = $true) | (sK0 @ X14 != $true) | (sK7 @ X14 @ X17 @ X18 = $false) | (sK4 @ X17 @ X18 = $true) | (sK0 @ sK4 = $false)) )),
11.14/1.77	  inference(subsumption_resolution,[],[f374,f17])).
11.14/1.77	tff(f394,plain,(
11.14/1.77	  ( ! [X14:a -> a -> '$o',X17:a,X15:a,X18:a,X16:a] : (($false = $true) | (X14 @ sK2 @ sK3 = $true) | (sK7 @ X14 @ X15 @ X16 = $false) | (sK4 @ X15 @ X16 = $true) | (sK0 @ X14 != $true) | (sK7 @ X14 @ X17 @ X18 = $false) | (sK4 @ X17 @ X18 = $true)) )),
11.14/1.77	  inference(forward_demodulation,[],[f393,f20])).
11.14/1.77	tff(f395,plain,(
11.14/1.77	  ( ! [X14:a -> a -> '$o',X17:a,X15:a,X18:a,X16:a] : ((sK7 @ X14 @ X17 @ X18 = $false) | (sK7 @ X14 @ X15 @ X16 = $false) | (sK4 @ X15 @ X16 = $true) | (sK0 @ X14 != $true) | (X14 @ sK2 @ sK3 = $true) | (sK4 @ X17 @ X18 = $true)) )),
11.14/1.77	  inference(trivial_inequality_removal,[],[f394])).
11.14/1.77	tff(f408,plain,(
11.14/1.77	  ( ! [X2:a,X0:a -> a -> '$o',X1:a] : (($false != $false) | (sK7 @ X0 @ X1 @ X2 = $false) | (sK4 @ X1 @ X2 = $true) | (sK0 @ X0 != $true) | (X0 @ sK2 @ sK3 = $true) | (sK4 @ X1 @ X2 = $true)) )),
11.14/1.77	  inference(equality_factoring,[],[f395])).
11.14/1.77	tff(f409,plain,(
11.14/1.77	  ( ! [X2:a,X0:a -> a -> '$o',X1:a] : (($false != $false) | (sK7 @ X0 @ X1 @ X2 = $false) | (sK4 @ X1 @ X2 = $true) | (sK0 @ X0 != $true) | (X0 @ sK2 @ sK3 = $true)) )),
11.14/1.77	  inference(duplicate_literal_removal,[],[f408])).
11.14/1.77	tff(f410,plain,(
11.14/1.77	  ( ! [X2:a,X0:a -> a -> '$o',X1:a] : ((sK7 @ X0 @ X1 @ X2 = $false) | (sK4 @ X1 @ X2 = $true) | (sK0 @ X0 != $true) | (X0 @ sK2 @ sK3 = $true)) )),
11.14/1.77	  inference(trivial_inequality_removal,[],[f409])).
11.14/1.77	tff(f584,plain,(
11.14/1.77	  ( ! [X3:a -> a -> '$o'] : (($false = $true) | (sK0 @ X3 != $true) | (X3 @ sK2 @ sK3 = $true) | (sK4 @ (sK5 @ X3) @ (sK6 @ X3) = $true) | (sK0 @ X3 != $true) | (X3 @ sK2 @ sK3 = $true)) )),
11.14/1.77	  inference(superposition,[],[f15,f410])).
11.14/1.77	tff(f595,plain,(
11.14/1.77	  ( ! [X3:a -> a -> '$o'] : (($false = $true) | (sK0 @ X3 != $true) | (X3 @ sK2 @ sK3 = $true) | (sK4 @ (sK5 @ X3) @ (sK6 @ X3) = $true)) )),
11.14/1.77	  inference(duplicate_literal_removal,[],[f584])).
11.14/1.77	tff(f596,plain,(
11.14/1.77	  ( ! [X3:a -> a -> '$o'] : ((sK4 @ (sK5 @ X3) @ (sK6 @ X3) = $true) | (X3 @ sK2 @ sK3 = $true) | (sK0 @ X3 != $true)) )),
11.14/1.77	  inference(trivial_inequality_removal,[],[f595])).
11.14/1.77	tff(f688,plain,(
11.14/1.77	  ($false = $true) | (sK4 @ sK2 @ sK3 = $true) | (sK0 @ sK4 != $true) | (sK4 @ sK2 @ sK3 = $true) | (sK0 @ sK4 != $true)),
11.14/1.77	  inference(superposition,[],[f596,f46])).
11.14/1.77	tff(f699,plain,(
11.14/1.77	  ($false = $true) | (sK4 @ sK2 @ sK3 = $true) | (sK0 @ sK4 != $true)),
11.14/1.77	  inference(duplicate_literal_removal,[],[f688])).
11.14/1.77	tff(f700,plain,(
11.14/1.77	  (sK4 @ sK2 @ sK3 = $true) | (sK0 @ sK4 != $true)),
11.14/1.77	  inference(trivial_inequality_removal,[],[f699])).
11.14/1.77	tff(f704,plain,(
11.14/1.77	  (sK4 @ sK2 @ sK3 = $true)),
11.14/1.77	  inference(subsumption_resolution,[],[f700,f20])).
11.14/1.77	tff(f705,plain,(
11.14/1.77	  ($false = $true)),
11.14/1.77	  inference(forward_demodulation,[],[f704,f24])).
11.14/1.77	tff(f706,plain,(
11.14/1.77	  $false),
11.14/1.77	  inference(trivial_inequality_removal,[],[f705])).
11.14/1.77	% SZS output end Proof for theBenchmark
11.14/1.77	% (23368)------------------------------
11.14/1.77	% (23368)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
11.14/1.77	% (23368)Termination reason: Refutation
11.14/1.77	
11.14/1.77	% (23368)Memory used [KB]: 13432
11.14/1.77	% (23368)Time elapsed: 0.855 s
11.14/1.77	% (23368)------------------------------
11.14/1.77	% (23368)------------------------------
11.14/1.77	% (23333)Success in time 1.413 s
11.14/1.78	EOF