0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.11 % Command : run_vampire %s %d 0.10/0.31 % Computer : n012.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % WCLimit : 120 0.10/0.31 % DateTime : Thu Jul 2 08:36:23 EDT 2020 0.10/0.31 % CPUTime : 0.17/0.34 % (9168)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 0.17/0.34 % (9166)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 0.17/0.34 % (9169)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 0.17/0.34 % (9167)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 0.17/0.34 % (9170)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 0.17/0.35 % (9156)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 0.17/0.35 % (9157)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 0.17/0.35 % (9162)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 0.17/0.35 % (9179)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 0.17/0.36 % (9160)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 0.17/0.36 % (9158)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 0.17/0.36 % (9171)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 0.17/0.36 % (9161)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 0.17/0.36 % (9181)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 0.17/0.36 % (9159)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 0.17/0.36 % (9172)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 0.17/0.37 % (9163)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 0.17/0.37 % (9164)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 0.17/0.37 % (9173)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 0.17/0.37 % (9184)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 0.17/0.37 % (9182)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 0.17/0.37 % (9183)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 0.17/0.38 % (9185)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 0.17/0.38 % (9165)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 0.17/0.38 % (9176)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 0.17/0.38 % (9174)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 0.17/0.38 % (9175)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 0.17/0.38 % (9180)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 0.17/0.38 % (9177)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 0.17/0.39 % (9178)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 3.05/0.75 % (9170)Time limit reached! 3.05/0.75 % (9170)------------------------------ 3.05/0.75 % (9170)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.05/0.75 % (9170)Termination reason: Time limit 3.05/0.75 % (9170)Termination phase: Saturation 3.05/0.75 3.05/0.75 % (9170)Memory used [KB]: 8955 3.05/0.75 % (9170)Time elapsed: 0.400 s 3.05/0.75 % (9170)------------------------------ 3.05/0.75 % (9170)------------------------------ 3.52/0.79 % (9190)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 3.52/0.84 % (9159)Time limit reached! 3.52/0.84 % (9159)------------------------------ 3.52/0.84 % (9159)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.52/0.84 % (9159)Termination reason: Time limit 3.52/0.84 3.52/0.84 % (9159)Memory used [KB]: 12409 3.52/0.84 % (9159)Time elapsed: 0.517 s 3.52/0.84 % (9159)------------------------------ 3.52/0.84 % (9159)------------------------------ 3.52/0.85 % (9167)Time limit reached! 3.52/0.85 % (9167)------------------------------ 3.52/0.85 % (9167)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.52/0.85 % (9167)Termination reason: Time limit 3.52/0.85 3.52/0.85 % (9167)Memory used [KB]: 12281 3.52/0.85 % (9167)Time elapsed: 0.517 s 3.52/0.85 % (9167)------------------------------ 3.52/0.85 % (9167)------------------------------ 3.52/0.85 % (9156)Time limit reached! 3.52/0.85 % (9156)------------------------------ 3.52/0.85 % (9156)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.52/0.85 % (9156)Termination reason: Time limit 3.52/0.85 3.52/0.85 % (9156)Memory used [KB]: 6908 3.52/0.85 % (9156)Time elapsed: 0.519 s 3.52/0.85 % (9156)------------------------------ 3.52/0.85 % (9156)------------------------------ 3.52/0.86 % (9168)Time limit reached! 3.52/0.86 % (9168)------------------------------ 3.52/0.86 % (9168)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.52/0.86 % (9168)Termination reason: Time limit 3.52/0.86 % (9168)Termination phase: Saturation 3.52/0.86 3.52/0.86 % (9168)Memory used [KB]: 7803 3.52/0.86 % (9168)Time elapsed: 0.500 s 3.52/0.86 % (9168)------------------------------ 3.52/0.86 % (9168)------------------------------ 4.38/0.89 % (9191)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 4.38/0.89 % (9192)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 4.38/0.90 % (9193)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 4.38/0.91 % (9194)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 4.64/0.93 % (9157)Time limit reached! 4.64/0.93 % (9157)------------------------------ 4.64/0.93 % (9157)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.64/0.93 % (9157)Termination reason: Time limit 4.64/0.93 4.64/0.93 % (9157)Memory used [KB]: 13048 4.64/0.93 % (9157)Time elapsed: 0.598 s 4.64/0.93 % (9157)------------------------------ 4.64/0.93 % (9157)------------------------------ 4.74/0.94 % (9162)Time limit reached! 4.74/0.94 % (9162)------------------------------ 4.74/0.94 % (9162)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.74/0.94 % (9162)Termination reason: Time limit 4.74/0.94 % (9162)Termination phase: Saturation 4.74/0.94 4.74/0.94 % (9162)Memory used [KB]: 13816 4.74/0.94 % (9162)Time elapsed: 0.600 s 4.74/0.94 % (9162)------------------------------ 4.74/0.94 % (9162)------------------------------ 4.74/0.95 % (9158)Time limit reached! 4.74/0.95 % (9158)------------------------------ 4.74/0.95 % (9158)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.74/0.95 % (9158)Termination reason: Time limit 4.74/0.95 4.74/0.95 % (9158)Memory used [KB]: 12409 4.74/0.95 % (9158)Time elapsed: 0.618 s 4.74/0.95 % (9158)------------------------------ 4.74/0.95 % (9158)------------------------------ 4.74/0.96 % (9165)Time limit reached! 4.74/0.96 % (9165)------------------------------ 4.74/0.96 % (9165)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.74/0.96 % (9165)Termination reason: Time limit 4.74/0.96 4.74/0.96 % (9165)Memory used [KB]: 14711 4.74/0.96 % (9165)Time elapsed: 0.631 s 4.74/0.96 % (9165)------------------------------ 4.74/0.96 % (9165)------------------------------ 4.74/0.98 % (9195)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 5.24/1.02 % (9196)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 5.24/1.03 % (9197)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 5.24/1.03 % (9198)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 7.09/1.26 % (9174)Time limit reached! 7.09/1.26 % (9174)------------------------------ 7.09/1.26 % (9174)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 7.09/1.26 % (9174)Termination reason: Time limit 7.09/1.26 % (9174)Termination phase: Saturation 7.09/1.26 7.09/1.26 % (9174)Memory used [KB]: 8955 7.09/1.26 % (9174)Time elapsed: 0.900 s 7.09/1.26 % (9174)------------------------------ 7.09/1.26 % (9174)------------------------------ 7.38/1.31 % (9202)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 7.95/1.37 % (9171)Time limit reached! 7.95/1.37 % (9171)------------------------------ 7.95/1.37 % (9171)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 7.95/1.37 % (9171)Termination reason: Time limit 7.95/1.37 % (9171)Termination phase: Saturation 7.95/1.37 7.95/1.37 % (9171)Memory used [KB]: 15095 7.95/1.37 % (9171)Time elapsed: 1.0000 s 7.95/1.37 % (9171)------------------------------ 7.95/1.37 % (9171)------------------------------ 8.25/1.43 % (9178)Time limit reached! 8.25/1.43 % (9178)------------------------------ 8.25/1.43 % (9178)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 8.25/1.43 % (9178)Termination reason: Time limit 8.25/1.43 % (9178)Termination phase: Saturation 8.25/1.43 8.25/1.43 % (9178)Memory used [KB]: 7547 8.25/1.43 % (9178)Time elapsed: 1.100 s 8.25/1.43 % (9178)------------------------------ 8.25/1.43 % (9178)------------------------------ 8.70/1.44 % (9203)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 8.70/1.44 % (9175)Time limit reached! 8.70/1.44 % (9175)------------------------------ 8.70/1.44 % (9175)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 8.70/1.44 % (9175)Termination reason: Time limit 8.70/1.44 8.70/1.44 % (9175)Memory used [KB]: 13816 8.70/1.44 % (9175)Time elapsed: 1.108 s 8.70/1.44 % (9175)------------------------------ 8.70/1.44 % (9175)------------------------------ 8.70/1.46 % (9169)Time limit reached! 8.70/1.46 % (9169)------------------------------ 8.70/1.46 % (9169)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 8.70/1.46 % (9169)Termination reason: Time limit 8.70/1.46 8.70/1.46 % (9169)Memory used [KB]: 8827 8.70/1.46 % (9169)Time elapsed: 1.129 s 8.70/1.46 % (9169)------------------------------ 8.70/1.46 % (9169)------------------------------ 8.90/1.52 % (9204)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 9.39/1.53 % (9205)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 9.39/1.55 % (9206)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 11.95/1.84 % (9160)Time limit reached! 11.95/1.84 % (9160)------------------------------ 11.95/1.84 % (9160)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 11.95/1.84 % (9160)Termination reason: Time limit 11.95/1.84 % (9160)Termination phase: Saturation 11.95/1.84 11.95/1.84 % (9160)Memory used [KB]: 10490 11.95/1.84 % (9160)Time elapsed: 1.500 s 11.95/1.84 % (9160)------------------------------ 11.95/1.84 % (9160)------------------------------ 12.15/1.86 % (9181)Time limit reached! 12.15/1.86 % (9181)------------------------------ 12.15/1.86 % (9181)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 12.15/1.86 % (9181)Termination reason: Time limit 12.15/1.86 % (9181)Termination phase: Saturation 12.15/1.86 12.15/1.86 % (9181)Memory used [KB]: 11641 12.15/1.86 % (9181)Time elapsed: 1.509 s 12.15/1.86 % (9181)------------------------------ 12.15/1.86 % (9181)------------------------------ 12.15/1.88 % (9209)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 12.15/1.91 % (9210)dis+10_1_add=off:afp=4000:csup=on:inj=on:chr=on:e2e=on:foolp=on:cnfonf=eager:afq=1.2:anc=none:br=off:cond=on:gs=on:irw=on:lcm=reverse:nwc=10:sd=10:ss=axioms:sos=theory:sac=on:sp=occurrence:urr=on_12 on theBenchmark 12.80/1.97 % (9161)Time limit reached! 12.80/1.97 % (9161)------------------------------ 12.80/1.97 % (9161)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 12.80/1.97 % (9161)Termination reason: Time limit 12.80/1.97 12.80/1.97 % (9161)Memory used [KB]: 23922 12.80/1.97 % (9161)Time elapsed: 1.640 s 12.80/1.97 % (9161)------------------------------ 12.80/1.97 % (9161)------------------------------ 13.39/2.05 % (9211)lrs+4_3_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:bs=unit_only:cond=fast:fde=unused:gsp=input_only:gs=on:gsem=on:lma=on:lwlo=on:nm=6:nwc=1:stl=60:sp=occurrence:uhcvi=on_481 on theBenchmark 13.69/2.10 % (9194)Refutation found. Thanks to Tanya! 13.69/2.10 % SZS status Theorem for theBenchmark 13.69/2.10 % SZS output start Proof for theBenchmark 13.69/2.10 tff(func_def_0, type, a: '$tType'). 13.69/2.10 tff(func_def_4, type, ->: ('$tType' * '$tType') > '$tType'). 13.69/2.10 tff(func_def_5, type, cP: (a -> '$o') -> '$o'). 13.69/2.10 tff(func_def_6, type, cQ: a -> a -> '$o'). 13.69/2.10 tff(func_def_7, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 13.69/2.10 tff(func_def_10, type, vAND: '$o' -> '$o' -> '$o'). 13.69/2.10 tff(func_def_11, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 13.69/2.10 tff(func_def_12, type, vIMP: '$o' -> '$o' -> '$o'). 13.69/2.10 tff(func_def_13, type, vIFF: '$o' -> '$o' -> '$o'). 13.69/2.10 tff(func_def_14, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 13.69/2.10 tff(func_def_15, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 13.69/2.10 tff(func_def_16, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 13.69/2.10 tff(func_def_17, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2). 13.69/2.10 tff(func_def_18, type, iCOMB: !>[X2: $ttype]:X2 -> X2). 13.69/2.10 tff(func_def_19, type, sK0: a -> a -> '$o'). 13.69/2.10 tff(func_def_20, type, sK1: (a -> '$o') -> a). 13.69/2.10 tff(func_def_22, type, sK3: a -> '$o'). 13.69/2.10 tff(func_def_23, type, sK4: a). 13.69/2.10 tff(func_def_24, type, sK5: a). 13.69/2.10 tff(func_def_25, type, sK6: a). 13.69/2.10 tff(func_def_26, type, sK7: a -> a). 13.69/2.10 tff(func_def_27, type, sK8: a -> a -> a -> '$o'). 13.69/2.10 tff(func_def_28, type, sK9: a -> a -> a). 13.69/2.10 tff(func_def_29, type, sK10: a -> a -> a -> '$o'). 13.69/2.10 tff(func_def_30, type, sK11: a -> a -> a). 13.69/2.10 tff(func_def_31, type, sK12: a -> a -> a -> '$o'). 13.69/2.10 tff(func_def_32, type, sK13: a -> a -> a -> '$o'). 13.69/2.10 tff(func_def_33, type, sK14: a -> a -> a). 13.69/2.10 tff(func_def_34, type, sK15: a -> a -> a -> '$o'). 13.69/2.10 tff(func_def_35, type, sK16: a -> a -> a). 13.69/2.10 tff(func_def_36, type, sK17: a -> a -> a -> '$o'). 13.69/2.10 tff(func_def_37, type, sK18: a -> a -> a -> '$o'). 13.69/2.10 tff(func_def_38, type, sK19: a -> a -> a). 13.69/2.10 tff(func_def_39, type, sK20: a -> a -> a -> '$o'). 13.69/2.10 tff(func_def_40, type, sK21: a -> a -> a -> '$o'). 13.69/2.10 tff(func_def_41, type, sK22: a -> a -> a). 13.69/2.10 tff(func_def_42, type, sK23: a -> a -> a -> '$o'). 13.69/2.10 tff(func_def_43, type, sK24: a -> a -> a). 13.69/2.10 tff(func_def_44, type, sK25: a -> a -> a). 13.69/2.10 tff(func_def_45, type, sK26: a -> a -> a -> '$o'). 13.69/2.10 tff(func_def_46, type, sK27: a -> a -> a). 13.69/2.10 tff(func_def_47, type, sK28: a -> a -> a -> '$o'). 13.69/2.10 tff(func_def_48, type, sK29: a -> a -> a -> '$o'). 13.69/2.10 tff(func_def_49, type, sK30: a -> a -> a). 13.69/2.10 tff(func_def_50, type, sK31: a -> a -> a -> '$o'). 13.69/2.10 tff(func_def_51, type, sK32: a -> a -> a -> '$o'). 13.69/2.10 tff(func_def_52, type, sK33: a -> a -> a). 13.69/2.10 tff(func_def_53, type, sK34: a -> a -> a). 13.69/2.10 tff(func_def_54, type, sK35: a -> a -> a). 13.69/2.10 tff(func_def_55, type, sK36: a -> a -> a -> '$o'). 13.69/2.10 tff(func_def_56, type, sK37: a -> a -> a -> '$o'). 13.69/2.10 tff(func_def_57, type, sK38: a -> a -> a). 13.69/2.10 tff(func_def_58, type, sK39: a -> a -> a -> '$o'). 13.69/2.10 tff(func_def_59, type, sK40: a -> a -> a -> '$o'). 13.69/2.10 tff(func_def_60, type, sK41: a -> a -> a). 13.69/2.10 tff(func_def_61, type, sK42: a -> a -> a). 13.69/2.10 tff(func_def_62, type, sK43: a -> a -> a). 13.69/2.10 tff(func_def_63, type, sK44: a -> a -> a). 13.69/2.10 tff(func_def_64, type, sK45: a -> a -> a). 13.69/2.10 tff(func_def_65, type, sK46: a -> a -> a). 13.69/2.10 tff(func_def_66, type, sK47: a -> a -> a). 13.69/2.10 tff(func_def_67, type, sK48: a -> a). 13.69/2.10 tff(func_def_68, type, sK49: a -> a -> a). 13.69/2.10 tff(func_def_69, type, sK50: a -> a -> a). 13.69/2.10 tff(func_def_70, type, sK51: a -> a -> a). 13.69/2.10 tff(func_def_71, type, sK52: a -> a -> a). 13.69/2.10 tff(func_def_72, type, sK53: a -> a -> a). 13.69/2.10 tff(func_def_73, type, sK54: a -> a -> a -> a). 13.69/2.10 tff(func_def_74, type, sK55: a -> a -> a). 13.69/2.10 tff(func_def_75, type, sK56: a -> a -> a -> '$o'). 13.69/2.10 tff(func_def_76, type, sK57: a -> a -> a). 13.69/2.10 tff(func_def_77, type, sK58: a -> a -> a -> '$o'). 13.69/2.10 tff(func_def_78, type, sK59: a -> a -> a). 13.69/2.10 tff(func_def_79, type, sK60: a -> a -> a). 13.69/2.10 tff(func_def_80, type, sK61: a -> a -> a -> '$o'). 13.69/2.10 tff(func_def_81, type, sK62: a -> a -> a). 13.69/2.10 tff(func_def_82, type, sK63: a -> a -> a -> '$o'). 13.69/2.10 tff(func_def_83, type, sK64: a -> a -> a). 13.69/2.10 tff(func_def_84, type, sK65: a -> a -> a -> '$o'). 13.69/2.10 tff(func_def_85, type, sK66: a -> a -> a). 13.69/2.10 tff(func_def_86, type, sK67: a -> a -> a -> '$o'). 13.69/2.10 tff(func_def_87, type, sK68: a -> a -> a). 13.69/2.10 tff(func_def_88, type, sK69: a -> a -> a -> '$o'). 13.69/2.10 tff(func_def_89, type, sK70: a -> a -> a -> '$o'). 13.69/2.10 tff(func_def_90, type, sK71: a -> a -> a). 13.69/2.10 tff(func_def_91, type, sK72: a -> a -> a -> '$o'). 13.69/2.10 tff(f1,axiom,( 13.69/2.10 cQ = (^[X0 : a, X1 : a] : ? [X2 : a -> '$o'] : (X2 @ X1 & X2 @ X0 & cP @ X2))), 13.69/2.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cQ_def)). 13.69/2.10 tff(f2,conjecture,( 13.69/2.10 ! [X9 : a -> '$o',X10 : a -> '$o'] : ((X9 = X10 & cP @ X9) => cP @ X10) => ((! [X5 : a,X6 : a,X3 : a -> '$o',X7 : a -> '$o'] : ((X7 @ X5 & X3 @ X6 & X3 @ X5 & cP @ X7 & cP @ X3) => X7 @ X6) & ! [X5 : a] : ? [X3 : a -> '$o'] : (cP @ X3 & X3 @ X5) & ! [X3 : a -> '$o'] : (cP @ X3 => ? [X4 : a] : X3 @ X4)) => (^[X8 : a -> '$o'] : ! [X5 : a] : (X8 @ X5 => ! [X6 : a] : (X8 @ X6 <=> cQ @ X5 @ X6)) & ? [X4 : a] : X8 @ X4) = cP)), 13.69/2.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM262_D_EXT2_pme)). 13.69/2.10 tff(f3,negated_conjecture,( 13.69/2.10 ~(! [X9 : a -> '$o',X10 : a -> '$o'] : ((X9 = X10 & cP @ X9) => cP @ X10) => ((! [X5 : a,X6 : a,X3 : a -> '$o',X7 : a -> '$o'] : ((X7 @ X5 & X3 @ X6 & X3 @ X5 & cP @ X7 & cP @ X3) => X7 @ X6) & ! [X5 : a] : ? [X3 : a -> '$o'] : (cP @ X3 & X3 @ X5) & ! [X3 : a -> '$o'] : (cP @ X3 => ? [X4 : a] : X3 @ X4)) => (^[X8 : a -> '$o'] : ! [X5 : a] : (X8 @ X5 => ! [X6 : a] : (X8 @ X6 <=> cQ @ X5 @ X6)) & ? [X4 : a] : X8 @ X4) = cP))), 13.69/2.10 inference(negated_conjecture,[],[f2])). 13.69/2.11 tff(f4,plain,( 13.69/2.11 ~(! [X0 : a -> '$o',X1 : a -> '$o'] : ((X0 = X1 & cP @ X0) => cP @ X1) => ((! [X2 : a,X3 : a,X4 : a -> '$o',X5 : a -> '$o'] : ((X5 @ X2 & X4 @ X3 & X4 @ X2 & cP @ X5 & cP @ X4) => X5 @ X3) & ! [X6 : a] : ? [X7 : a -> '$o'] : (cP @ X7 & X7 @ X6) & ! [X8 : a -> '$o'] : (cP @ X8 => ? [X9 : a] : X8 @ X9)) => (^[X10 : a -> '$o'] : ! [X11 : a] : (X10 @ X11 => ! [X12 : a] : (X10 @ X12 <=> cQ @ X11 @ X12)) & ? [X13 : a] : X10 @ X13) = cP))), 13.69/2.11 inference(rectify,[],[f3])). 13.69/2.11 tff(f5,plain,( 13.69/2.11 ~(! [X0 : a -> '$o',X1 : a -> '$o'] : ((X0 = X1 & (cP @ X0 = $true)) => (cP @ X1 = $true)) => ((! [X2 : a,X3 : a,X4 : a -> '$o',X5 : a -> '$o'] : (((X5 @ X2 = $true) & (X4 @ X3 = $true) & (X4 @ X2 = $true) & (cP @ X5 = $true) & (cP @ X4 = $true)) => (X5 @ X3 = $true)) & ! [X6 : a] : ? [X7 : a -> '$o'] : ((cP @ X7 = $true) & (X7 @ X6 = $true)) & ! [X8 : a -> '$o'] : ((cP @ X8 = $true) => ? [X9 : a] : (X8 @ X9 = $true))) => cP = sCOMB @ (bCOMB @ vAND @ vSIGMA(a)) @ (bCOMB @ vPI(a) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ vPI(a)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIFF))) @ cQ))))))), 13.69/2.11 inference(fool_elimination,[],[f4])). 13.69/2.11 tff(f6,plain,( 13.69/2.11 cQ = (^[X0 : a, X1 : a] : ? [X2 : a -> '$o'] : (X2 @ X1 & X2 @ X0 & cP @ X2))), 13.69/2.11 inference(rectify,[],[f1])). 13.69/2.11 tff(f7,plain,( 13.69/2.11 cQ = bCOMB @ (bCOMB @ vSIGMA(a -> '$o')) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ cP)) @ (cCOMB @ iCOMB))))) @ (cCOMB @ iCOMB))), 13.69/2.11 inference(fool_elimination,[],[f6])). 13.69/2.11 tff(f8,plain,( 13.69/2.11 (cP != sCOMB @ (bCOMB @ vAND @ vSIGMA(a)) @ (bCOMB @ vPI(a) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ vPI(a)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIFF))) @ cQ)))) & (! [X2 : a,X3 : a,X4 : a -> '$o',X5 : a -> '$o'] : ((X5 @ X3 = $true) | ((X5 @ X2 != $true) | (X4 @ X3 != $true) | (X4 @ X2 != $true) | (cP @ X5 != $true) | (cP @ X4 != $true))) & ! [X6 : a] : ? [X7 : a -> '$o'] : ((cP @ X7 = $true) & (X7 @ X6 = $true)) & ! [X8 : a -> '$o'] : (? [X9 : a] : (X8 @ X9 = $true) | (cP @ X8 != $true)))) & ! [X0 : a -> '$o',X1 : a -> '$o'] : ((cP @ X1 = $true) | (X0 != X1 | (cP @ X0 != $true)))), 13.69/2.11 inference(ennf_transformation,[],[f5])). 13.69/2.11 tff(f9,plain,( 13.69/2.11 cP != sCOMB @ (bCOMB @ vAND @ vSIGMA(a)) @ (bCOMB @ vPI(a) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ vPI(a)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIFF))) @ cQ)))) & ! [X2 : a,X3 : a,X4 : a -> '$o',X5 : a -> '$o'] : ((X5 @ X3 = $true) | (X5 @ X2 != $true) | (X4 @ X3 != $true) | (X4 @ X2 != $true) | (cP @ X5 != $true) | (cP @ X4 != $true)) & ! [X6 : a] : ? [X7 : a -> '$o'] : ((cP @ X7 = $true) & (X7 @ X6 = $true)) & ! [X8 : a -> '$o'] : (? [X9 : a] : (X8 @ X9 = $true) | (cP @ X8 != $true)) & ! [X0 : a -> '$o',X1 : a -> '$o'] : ((cP @ X1 = $true) | X0 != X1 | (cP @ X0 != $true))), 13.69/2.11 inference(flattening,[],[f8])). 13.69/2.11 tff(f10,plain,( 13.69/2.11 cP != sCOMB @ (bCOMB @ vAND @ vSIGMA(a)) @ (bCOMB @ vPI(a) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ vPI(a)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIFF))) @ cQ)))) & ! [X0 : a,X1 : a,X2 : a -> '$o',X3 : a -> '$o'] : ((X3 @ X1 = $true) | (X3 @ X0 != $true) | (X2 @ X1 != $true) | (X2 @ X0 != $true) | (cP @ X3 != $true) | (cP @ X2 != $true)) & ! [X4 : a] : ? [X5 : a -> '$o'] : ((cP @ X5 = $true) & (X5 @ X4 = $true)) & ! [X6 : a -> '$o'] : (? [X7 : a] : (X6 @ X7 = $true) | (cP @ X6 != $true)) & ! [X8 : a -> '$o',X9 : a -> '$o'] : ((cP @ X9 = $true) | X8 != X9 | (cP @ X8 != $true))), 13.69/2.11 inference(rectify,[],[f9])). 13.69/2.11 tff(f11,plain,( 13.69/2.11 ! [X4 : a] : (? [X5 : a -> '$o'] : ((cP @ X5 = $true) & (X5 @ X4 = $true)) => ((cP @ (sK0 @ X4) = $true) & (sK0 @ X4 @ X4 = $true)))), 13.69/2.11 introduced(choice_axiom,[])). 13.69/2.11 tff(f12,plain,( 13.69/2.11 ! [X6 : a -> '$o'] : (? [X7 : a] : (X6 @ X7 = $true) => (X6 @ (sK1 @ X6) = $true))), 13.69/2.11 introduced(choice_axiom,[])). 13.69/2.11 tff(f13,plain,( 13.69/2.11 cP != sCOMB @ (bCOMB @ vAND @ vSIGMA(a)) @ (bCOMB @ vPI(a) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ vPI(a)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIFF))) @ cQ)))) & ! [X0 : a,X1 : a,X2 : a -> '$o',X3 : a -> '$o'] : ((X3 @ X1 = $true) | (X3 @ X0 != $true) | (X2 @ X1 != $true) | (X2 @ X0 != $true) | (cP @ X3 != $true) | (cP @ X2 != $true)) & ! [X4 : a] : ((cP @ (sK0 @ X4) = $true) & (sK0 @ X4 @ X4 = $true)) & ! [X6 : a -> '$o'] : ((X6 @ (sK1 @ X6) = $true) | (cP @ X6 != $true)) & ! [X8 : a -> '$o',X9 : a -> '$o'] : ((cP @ X9 = $true) | X8 != X9 | (cP @ X8 != $true))), 13.69/2.11 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f10,f12,f11])). 13.69/2.11 tff(f15,plain,( 13.69/2.11 ( ! [X6:a -> '$o'] : ((X6 @ (sK1 @ X6) = $true) | (cP @ X6 != $true)) )), 13.69/2.11 inference(cnf_transformation,[],[f13])). 13.69/2.11 tff(f16,plain,( 13.69/2.11 ( ! [X4:a] : ((sK0 @ X4 @ X4 = $true)) )), 13.69/2.11 inference(cnf_transformation,[],[f13])). 13.69/2.11 tff(f17,plain,( 13.69/2.11 ( ! [X4:a] : ((cP @ (sK0 @ X4) = $true)) )), 13.69/2.11 inference(cnf_transformation,[],[f13])). 13.69/2.11 tff(f18,plain,( 13.69/2.11 ( ! [X2:a -> '$o',X0:a,X3:a -> '$o',X1:a] : ((cP @ X3 != $true) | (X3 @ X0 != $true) | (X2 @ X1 != $true) | (X2 @ X0 != $true) | (X3 @ X1 = $true) | (cP @ X2 != $true)) )), 13.69/2.11 inference(cnf_transformation,[],[f13])). 13.69/2.11 tff(f19,plain,( 13.69/2.11 cP != sCOMB @ (bCOMB @ vAND @ vSIGMA(a)) @ (bCOMB @ vPI(a) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ vPI(a)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIFF))) @ cQ))))), 13.69/2.11 inference(cnf_transformation,[],[f13])). 13.69/2.11 tff(f20,plain,( 13.69/2.11 cQ = bCOMB @ (bCOMB @ vSIGMA(a -> '$o')) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ cP)) @ (cCOMB @ iCOMB))))) @ (cCOMB @ iCOMB))), 13.69/2.11 inference(cnf_transformation,[],[f7])). 13.69/2.11 tff(f26,plain,( 13.69/2.11 ( ! [X2:a -> '$o',X0:a,X3:a,X1:a] : (($true != $true) | (sK0 @ X0 @ X1 != $true) | (X2 @ X3 != $true) | (X2 @ X1 != $true) | (sK0 @ X0 @ X3 = $true) | (cP @ X2 != $true)) )), 13.69/2.11 inference(superposition,[],[f18,f17])). 13.69/2.11 tff(f27,plain,( 13.69/2.11 ( ! [X2:a -> '$o',X0:a,X3:a,X1:a] : ((sK0 @ X0 @ X3 = $true) | (X2 @ X3 != $true) | (X2 @ X1 != $true) | (sK0 @ X0 @ X1 != $true) | (cP @ X2 != $true)) )), 13.69/2.11 inference(trivial_inequality_removal,[],[f26])). 13.69/2.11 tff(f44,plain,( 13.69/2.11 (cP @ sK3 != sCOMB @ (bCOMB @ vAND @ vSIGMA(a)) @ (bCOMB @ vPI(a) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ vPI(a)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIFF))) @ cQ)))) @ sK3)), 13.69/2.11 inference(negative_extensionality,[],[f19])). 13.69/2.11 tff(f45,plain,( 13.69/2.11 (cP @ sK3 != vAND @ (vSIGMA(a) @ sK3) @ (vPI(a) @ (sCOMB @ (bCOMB @ vIMP @ sK3) @ (bCOMB @ vPI(a) @ (bCOMB @ (sCOMB @ (bCOMB @ vIFF @ sK3)) @ cQ)))))), 13.69/2.11 inference(combinator_demodulation,[],[f44])). 13.69/2.11 tff(f46,plain,( 13.69/2.11 (cP @ sK3 = $true) | (vAND @ (vSIGMA(a) @ sK3) @ (vPI(a) @ (sCOMB @ (bCOMB @ vIMP @ sK3) @ (bCOMB @ vPI(a) @ (bCOMB @ (sCOMB @ (bCOMB @ vIFF @ sK3)) @ cQ)))) = $true)), 13.69/2.11 inference(binary_proxy_clausification,[],[f45])). 13.69/2.11 tff(f47,plain,( 13.69/2.11 (cP @ sK3 = $false) | (vAND @ (vSIGMA(a) @ sK3) @ (vPI(a) @ (sCOMB @ (bCOMB @ vIMP @ sK3) @ (bCOMB @ vPI(a) @ (bCOMB @ (sCOMB @ (bCOMB @ vIFF @ sK3)) @ cQ)))) = $false)), 13.69/2.11 inference(binary_proxy_clausification,[],[f45])). 13.69/2.11 tff(f48,plain,( 13.69/2.11 (cP @ sK3 = $false) | (vSIGMA(a) @ sK3 = $false) | (vPI(a) @ (sCOMB @ (bCOMB @ vIMP @ sK3) @ (bCOMB @ vPI(a) @ (bCOMB @ (sCOMB @ (bCOMB @ vIFF @ sK3)) @ cQ))) = $false)), 13.69/2.11 inference(binary_proxy_clausification,[],[f47])). 13.69/2.11 tff(f49,plain,( 13.69/2.11 (cP @ sK3 = $false) | (vSIGMA(a) @ sK3 = $false) | (sCOMB @ (bCOMB @ vIMP @ sK3) @ (bCOMB @ vPI(a) @ (bCOMB @ (sCOMB @ (bCOMB @ vIFF @ sK3)) @ cQ)) @ sK4 = $false)), 13.69/2.11 inference(sigma_clausification,[],[f48])). 13.69/2.11 tff(f50,plain,( 13.69/2.11 ( ! [X1:a] : ((cP @ sK3 = $false) | (sK3 @ X1 = $false) | (sCOMB @ (bCOMB @ vIMP @ sK3) @ (bCOMB @ vPI(a) @ (bCOMB @ (sCOMB @ (bCOMB @ vIFF @ sK3)) @ cQ)) @ sK4 = $false)) )), 13.69/2.11 inference(pi_clausification,[],[f49])). 13.69/2.11 tff(f51,plain,( 13.69/2.11 ( ! [X1:a] : ((cP @ sK3 = $false) | (sK3 @ X1 = $false) | (vIMP @ (sK3 @ sK4) @ (vPI(a) @ (sCOMB @ (bCOMB @ vIFF @ sK3) @ (cQ @ sK4))) = $false)) )), 13.69/2.11 inference(combinator_demodulation,[],[f50])). 13.69/2.11 tff(f52,plain,( 13.69/2.11 ( ! [X1:a] : ((cP @ sK3 = $false) | (sK3 @ X1 = $false) | (sK3 @ sK4 = $true)) )), 13.69/2.11 inference(binary_proxy_clausification,[],[f51])). 13.69/2.11 tff(f53,plain,( 13.69/2.11 ( ! [X1:a] : ((cP @ sK3 = $false) | (sK3 @ X1 = $false) | (vPI(a) @ (sCOMB @ (bCOMB @ vIFF @ sK3) @ (cQ @ sK4)) = $false)) )), 13.69/2.11 inference(binary_proxy_clausification,[],[f51])). 13.69/2.11 tff(f54,plain,( 13.69/2.11 ( ! [X1:a] : ((cP @ sK3 = $false) | (sK3 @ X1 = $false) | (sCOMB @ (bCOMB @ vIFF @ sK3) @ (cQ @ sK4) @ sK5 = $false)) )), 13.69/2.11 inference(sigma_clausification,[],[f53])). 13.69/2.11 tff(f55,plain,( 13.69/2.11 ( ! [X1:a] : ((cP @ sK3 = $false) | (sK3 @ X1 = $false) | (vIFF @ (sK3 @ sK5) @ (cQ @ sK4 @ sK5) = $false)) )), 13.69/2.11 inference(combinator_demodulation,[],[f54])). 13.69/2.11 tff(f56,plain,( 13.69/2.11 ( ! [X1:a] : ((cP @ sK3 = $false) | (sK3 @ X1 = $false) | (sK3 @ sK5 = $true) | (cQ @ sK4 @ sK5 = $true)) )), 13.69/2.11 inference(binary_proxy_clausification,[],[f55])). 13.69/2.11 tff(f57,plain,( 13.69/2.11 ( ! [X1:a] : ((cP @ sK3 = $false) | (sK3 @ X1 = $false) | (sK3 @ sK5 = $false) | (cQ @ sK4 @ sK5 = $false)) )), 13.69/2.11 inference(binary_proxy_clausification,[],[f55])). 13.69/2.11 tff(f58,plain,( 13.69/2.11 (cP @ sK3 = $false) | (sK3 @ sK5 = $false) | (cQ @ sK4 @ sK5 = $false)), 13.69/2.11 inference(condensation,[],[f57])). 13.69/2.11 tff(f59,plain,( 13.69/2.11 (cP @ sK3 = $true) | (vSIGMA(a) @ sK3 = $true)), 13.69/2.11 inference(binary_proxy_clausification,[],[f46])). 13.69/2.11 tff(f60,plain,( 13.69/2.11 (cP @ sK3 = $true) | (vPI(a) @ (sCOMB @ (bCOMB @ vIMP @ sK3) @ (bCOMB @ vPI(a) @ (bCOMB @ (sCOMB @ (bCOMB @ vIFF @ sK3)) @ cQ))) = $true)), 13.69/2.11 inference(binary_proxy_clausification,[],[f46])). 13.69/2.11 tff(f61,plain,( 13.69/2.11 ( ! [X1:a] : ((cP @ sK3 = $true) | (sCOMB @ (bCOMB @ vIMP @ sK3) @ (bCOMB @ vPI(a) @ (bCOMB @ (sCOMB @ (bCOMB @ vIFF @ sK3)) @ cQ)) @ X1 = $true)) )), 13.69/2.11 inference(pi_clausification,[],[f60])). 13.69/2.11 tff(f62,plain,( 13.69/2.11 ( ! [X1:a] : ((cP @ sK3 = $true) | (vIMP @ (sK3 @ X1) @ (vPI(a) @ (sCOMB @ (bCOMB @ vIFF @ sK3) @ (cQ @ X1))) = $true)) )), 13.69/2.11 inference(combinator_demodulation,[],[f61])). 13.69/2.11 tff(f63,plain,( 13.69/2.11 ( ! [X1:a] : ((cP @ sK3 = $true) | (sK3 @ X1 = $false) | (vPI(a) @ (sCOMB @ (bCOMB @ vIFF @ sK3) @ (cQ @ X1)) = $true)) )), 13.69/2.11 inference(binary_proxy_clausification,[],[f62])). 13.69/2.11 tff(f64,plain,( 13.69/2.11 ( ! [X2:a,X1:a] : ((cP @ sK3 = $true) | (sK3 @ X1 = $false) | (sCOMB @ (bCOMB @ vIFF @ sK3) @ (cQ @ X1) @ X2 = $true)) )), 13.69/2.11 inference(pi_clausification,[],[f63])). 13.69/2.11 tff(f65,plain,( 13.69/2.11 ( ! [X2:a,X1:a] : ((cP @ sK3 = $true) | (sK3 @ X1 = $false) | (vIFF @ (sK3 @ X2) @ (cQ @ X1 @ X2) = $true)) )), 13.69/2.11 inference(combinator_demodulation,[],[f64])). 13.69/2.11 tff(f66,plain,( 13.69/2.11 ( ! [X2:a,X1:a] : ((cP @ sK3 = $true) | (sK3 @ X1 = $false) | (sK3 @ X2 = $true) | (cQ @ X1 @ X2 = $false)) )), 13.69/2.11 inference(binary_proxy_clausification,[],[f65])). 13.69/2.11 tff(f67,plain,( 13.69/2.11 ( ! [X2:a,X1:a] : ((cP @ sK3 = $true) | (sK3 @ X1 = $false) | (sK3 @ X2 = $false) | (cQ @ X1 @ X2 = $true)) )), 13.69/2.11 inference(binary_proxy_clausification,[],[f65])). 13.69/2.11 tff(f68,plain,( 13.69/2.11 (cP @ sK3 = $true) | (sK3 @ sK6 = $true)), 13.69/2.11 inference(sigma_clausification,[],[f59])). 13.69/2.11 tff(f73,plain,( 13.69/2.11 spl2_4 <=> (sK3 @ sK6 = $true)), 13.69/2.11 introduced(avatar_definition,[new_symbols(naming,[spl2_4])])). 13.69/2.11 tff(f74,plain,( 13.69/2.11 (sK3 @ sK6 = $true) | ~spl2_4), 13.69/2.11 inference(avatar_component_clause,[],[f73])). 13.69/2.11 tff(f79,plain,( 13.69/2.11 spl2_6 <=> (cP @ sK3 = $true)), 13.69/2.11 introduced(avatar_definition,[new_symbols(naming,[spl2_6])])). 13.69/2.11 tff(f80,plain,( 13.69/2.11 (cP @ sK3 = $true) | ~spl2_6), 13.69/2.11 inference(avatar_component_clause,[],[f79])). 13.69/2.11 tff(f81,plain,( 13.69/2.11 spl2_4 | spl2_6), 13.69/2.11 inference(avatar_split_clause,[],[f68,f79,f73])). 13.69/2.11 tff(f83,plain,( 13.69/2.11 spl2_8 <=> ! [X1 : a,X2 : a] : ((sK3 @ X1 = $false) | (cQ @ X1 @ X2 = $false) | (sK3 @ X2 = $true))), 13.69/2.11 introduced(avatar_definition,[new_symbols(naming,[spl2_8])])). 13.69/2.11 tff(f84,plain,( 13.69/2.11 ( ! [X2:a,X1:a] : ((cQ @ X1 @ X2 = $false) | (sK3 @ X1 = $false) | (sK3 @ X2 = $true)) ) | ~spl2_8), 13.69/2.11 inference(avatar_component_clause,[],[f83])). 13.69/2.11 tff(f85,plain,( 13.69/2.11 spl2_8 | spl2_6), 13.69/2.11 inference(avatar_split_clause,[],[f66,f79,f83])). 13.69/2.11 tff(f87,plain,( 13.69/2.11 spl2_10 <=> ! [X1 : a,X2 : a] : ((sK3 @ X1 = $false) | (cQ @ X1 @ X2 = $true) | (sK3 @ X2 = $false))), 13.69/2.11 introduced(avatar_definition,[new_symbols(naming,[spl2_10])])). 13.69/2.11 tff(f88,plain,( 13.69/2.11 ( ! [X2:a,X1:a] : ((cQ @ X1 @ X2 = $true) | (sK3 @ X1 = $false) | (sK3 @ X2 = $false)) ) | ~spl2_10), 13.69/2.11 inference(avatar_component_clause,[],[f87])). 13.69/2.11 tff(f89,plain,( 13.69/2.11 spl2_10 | spl2_6), 13.69/2.11 inference(avatar_split_clause,[],[f67,f79,f87])). 13.69/2.11 tff(f94,plain,( 13.69/2.11 spl2_12 <=> (sK3 @ sK4 = $true)), 13.69/2.11 introduced(avatar_definition,[new_symbols(naming,[spl2_12])])). 13.69/2.11 tff(f95,plain,( 13.69/2.11 (sK3 @ sK4 = $true) | ~spl2_12), 13.69/2.11 inference(avatar_component_clause,[],[f94])). 13.69/2.11 tff(f97,plain,( 13.69/2.11 spl2_14 <=> ! [X1 : a] : (sK3 @ X1 = $false)), 13.69/2.11 introduced(avatar_definition,[new_symbols(naming,[spl2_14])])). 13.69/2.11 tff(f98,plain,( 13.69/2.11 ( ! [X1:a] : ((sK3 @ X1 = $false)) ) | ~spl2_14), 13.69/2.11 inference(avatar_component_clause,[],[f97])). 13.69/2.11 tff(f100,plain,( 13.69/2.11 spl2_17 <=> (cP @ sK3 != $false)), 13.69/2.11 introduced(avatar_definition,[new_symbols(naming,[spl2_17])])). 13.69/2.11 tff(f101,plain,( 13.69/2.11 (cP @ sK3 != $false) | ~spl2_17), 13.69/2.11 inference(avatar_component_clause,[],[f100])). 13.69/2.11 tff(f103,plain,( 13.69/2.11 spl2_16 <=> (cP @ sK3 = $false)), 13.69/2.11 introduced(avatar_definition,[new_symbols(naming,[spl2_16])])). 13.69/2.11 tff(f104,plain,( 13.69/2.11 (cP @ sK3 = $false) | ~spl2_16), 13.69/2.11 inference(avatar_component_clause,[],[f103])). 13.69/2.11 tff(f105,plain,( 13.69/2.11 spl2_12 | spl2_14 | spl2_16), 13.69/2.11 inference(avatar_split_clause,[],[f52,f103,f97,f94])). 13.69/2.11 tff(f110,plain,( 13.69/2.11 spl2_18 <=> (cQ @ sK4 @ sK5 = $true)), 13.69/2.11 introduced(avatar_definition,[new_symbols(naming,[spl2_18])])). 13.69/2.11 tff(f111,plain,( 13.69/2.11 (cQ @ sK4 @ sK5 = $true) | ~spl2_18), 13.69/2.11 inference(avatar_component_clause,[],[f110])). 13.69/2.11 tff(f113,plain,( 13.69/2.11 spl2_21 <=> (sK3 @ sK5 != $true)), 13.69/2.11 introduced(avatar_definition,[new_symbols(naming,[spl2_21])])). 13.69/2.11 tff(f114,plain,( 13.69/2.11 (sK3 @ sK5 != $true) | ~spl2_21), 13.69/2.11 inference(avatar_component_clause,[],[f113])). 13.69/2.11 tff(f116,plain,( 13.69/2.11 spl2_20 <=> (sK3 @ sK5 = $true)), 13.69/2.11 introduced(avatar_definition,[new_symbols(naming,[spl2_20])])). 13.69/2.11 tff(f117,plain,( 13.69/2.11 (sK3 @ sK5 = $true) | ~spl2_20), 13.69/2.11 inference(avatar_component_clause,[],[f116])). 13.69/2.11 tff(f118,plain,( 13.69/2.11 spl2_18 | spl2_20 | spl2_14 | spl2_16), 13.69/2.11 inference(avatar_split_clause,[],[f56,f103,f97,f116,f110])). 13.69/2.11 tff(f123,plain,( 13.69/2.11 spl2_22 <=> (cQ @ sK4 @ sK5 = $false)), 13.69/2.11 introduced(avatar_definition,[new_symbols(naming,[spl2_22])])). 13.69/2.11 tff(f124,plain,( 13.69/2.11 (cQ @ sK4 @ sK5 = $false) | ~spl2_22), 13.69/2.11 inference(avatar_component_clause,[],[f123])). 13.69/2.11 tff(f126,plain,( 13.69/2.11 spl2_25 <=> (sK3 @ sK5 != $false)), 13.69/2.11 introduced(avatar_definition,[new_symbols(naming,[spl2_25])])). 13.69/2.11 tff(f127,plain,( 13.69/2.11 (sK3 @ sK5 != $false) | ~spl2_25), 13.69/2.11 inference(avatar_component_clause,[],[f126])). 13.69/2.11 tff(f129,plain,( 13.69/2.11 spl2_24 <=> (sK3 @ sK5 = $false)), 13.69/2.11 introduced(avatar_definition,[new_symbols(naming,[spl2_24])])). 13.69/2.11 tff(f130,plain,( 13.69/2.11 (sK3 @ sK5 = $false) | ~spl2_24), 13.69/2.11 inference(avatar_component_clause,[],[f129])). 13.69/2.11 tff(f131,plain,( 13.69/2.11 spl2_22 | spl2_24 | spl2_16), 13.69/2.11 inference(avatar_split_clause,[],[f58,f103,f129,f123])). 13.69/2.11 tff(f139,plain,( 13.69/2.11 ($false = $true) | (~spl2_6 | ~spl2_16)), 13.69/2.11 inference(backward_demodulation,[],[f104,f80])). 13.69/2.11 tff(f141,plain,( 13.69/2.11 ( ! [X0:a] : (($false = $true) | sK0 @ X0 != sK3) ) | ~spl2_16), 13.69/2.11 inference(superposition,[],[f17,f104])). 13.69/2.11 tff(f143,plain,( 13.69/2.11 ( ! [X0:a] : (sK0 @ X0 != sK3) ) | ~spl2_16), 13.69/2.11 inference(trivial_inequality_removal,[],[f141])). 13.69/2.11 tff(f145,plain,( 13.69/2.11 $false | (~spl2_6 | ~spl2_16)), 13.69/2.11 inference(trivial_inequality_removal,[],[f139])). 13.69/2.11 tff(f146,plain,( 13.69/2.11 ~spl2_6 | ~spl2_16), 13.69/2.11 inference(avatar_contradiction_clause,[],[f145])). 13.69/2.11 tff(f152,plain,( 13.69/2.11 ( ! [X1:a] : (cQ @ X1 = bCOMB @ (bCOMB @ vSIGMA(a -> '$o')) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ cP)) @ (cCOMB @ iCOMB))))) @ (cCOMB @ iCOMB)) @ X1) )), 13.69/2.11 inference(argument_congruence,[],[f20])). 13.69/2.11 tff(f153,plain,( 13.69/2.11 ( ! [X1:a] : (cQ @ X1 = bCOMB @ vSIGMA(a -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vAND @ cP) @ (cCOMB @ iCOMB @ X1)))) @ (cCOMB @ iCOMB))) )), 13.69/2.11 inference(combinator_demodulation,[],[f152])). 13.69/2.11 tff(f181,plain,( 13.69/2.11 ( ! [X2:a,X1:a] : ((cQ @ X1 @ X2 = bCOMB @ vSIGMA(a -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vAND @ cP) @ (cCOMB @ iCOMB @ X1)))) @ (cCOMB @ iCOMB)) @ X2)) )), 13.69/2.11 inference(argument_congruence,[],[f153])). 13.69/2.11 tff(f186,plain,( 13.69/2.11 ( ! [X2:a,X1:a] : ((cQ @ X1 @ X2 = vSIGMA(a -> '$o') @ (sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vAND @ cP) @ (cCOMB @ iCOMB @ X1))) @ (cCOMB @ iCOMB @ X2)))) )), 13.69/2.11 inference(combinator_demodulation,[],[f181])). 13.69/2.11 tff(f187,plain,( 13.69/2.11 ( ! [X2:a,X1:a] : ((cQ @ X1 @ X2 = $true) | (vSIGMA(a -> '$o') @ (sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vAND @ cP) @ (cCOMB @ iCOMB @ X1))) @ (cCOMB @ iCOMB @ X2)) = $false)) )), 13.69/2.11 inference(binary_proxy_clausification,[],[f186])). 13.69/2.11 tff(f188,plain,( 13.69/2.11 ( ! [X2:a,X1:a] : ((cQ @ X1 @ X2 = $false) | (vSIGMA(a -> '$o') @ (sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vAND @ cP) @ (cCOMB @ iCOMB @ X1))) @ (cCOMB @ iCOMB @ X2)) = $true)) )), 13.69/2.11 inference(binary_proxy_clausification,[],[f186])). 13.69/2.11 tff(f189,plain,( 13.69/2.11 ( ! [X2:a,X1:a] : ((cQ @ X1 @ X2 = $false) | (sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vAND @ cP) @ (cCOMB @ iCOMB @ X1))) @ (cCOMB @ iCOMB @ X2) @ (sK8 @ X2 @ X1) = $true)) )), 13.69/2.11 inference(sigma_clausification,[],[f188])). 13.69/2.11 tff(f190,plain,( 13.69/2.11 ( ! [X2:a,X1:a] : ((cQ @ X1 @ X2 = $false) | (vAND @ (vAND @ (cP @ (sK8 @ X2 @ X1)) @ (sK8 @ X2 @ X1 @ X1)) @ (sK8 @ X2 @ X1 @ X2) = $true)) )), 13.69/2.11 inference(combinator_demodulation,[],[f189])). 13.69/2.11 tff(f191,plain,( 13.69/2.11 ( ! [X2:a,X1:a] : ((cQ @ X1 @ X2 = $false) | (vAND @ (cP @ (sK8 @ X2 @ X1)) @ (sK8 @ X2 @ X1 @ X1) = $true)) )), 13.69/2.11 inference(binary_proxy_clausification,[],[f190])). 13.69/2.11 tff(f192,plain,( 13.69/2.11 ( ! [X2:a,X1:a] : ((sK8 @ X2 @ X1 @ X2 = $true) | (cQ @ X1 @ X2 = $false)) )), 13.69/2.11 inference(binary_proxy_clausification,[],[f190])). 13.69/2.11 tff(f193,plain,( 13.69/2.11 ( ! [X2:a,X1:a] : ((cP @ (sK8 @ X2 @ X1) = $true) | (cQ @ X1 @ X2 = $false)) )), 13.69/2.11 inference(binary_proxy_clausification,[],[f191])). 13.69/2.11 tff(f194,plain,( 13.69/2.11 ( ! [X2:a,X1:a] : ((sK8 @ X2 @ X1 @ X1 = $true) | (cQ @ X1 @ X2 = $false)) )), 13.69/2.11 inference(binary_proxy_clausification,[],[f191])). 13.69/2.11 tff(f195,plain,( 13.69/2.11 ( ! [X2:a,X3:a -> '$o',X1:a] : ((cQ @ X1 @ X2 = $true) | (sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vAND @ cP) @ (cCOMB @ iCOMB @ X1))) @ (cCOMB @ iCOMB @ X2) @ X3 = $false)) )), 13.69/2.11 inference(pi_clausification,[],[f187])). 13.69/2.11 tff(f196,plain,( 13.69/2.11 ( ! [X2:a,X3:a -> '$o',X1:a] : ((cQ @ X1 @ X2 = $true) | (vAND @ (vAND @ (cP @ X3) @ (X3 @ X1)) @ (X3 @ X2) = $false)) )), 13.69/2.11 inference(combinator_demodulation,[],[f195])). 13.69/2.11 tff(f197,plain,( 13.69/2.11 ( ! [X2:a,X3:a -> '$o',X1:a] : ((cQ @ X1 @ X2 = $true) | (vAND @ (cP @ X3) @ (X3 @ X1) = $false) | (X3 @ X2 = $false)) )), 13.69/2.11 inference(binary_proxy_clausification,[],[f196])). 13.69/2.11 tff(f198,plain,( 13.69/2.11 ( ! [X2:a,X3:a -> '$o',X1:a] : ((cQ @ X1 @ X2 = $true) | (cP @ X3 = $false) | (X3 @ X2 = $false) | (X3 @ X1 = $false)) )), 13.69/2.11 inference(binary_proxy_clausification,[],[f197])). 13.69/2.11 tff(f304,plain,( 13.69/2.11 ($false = $true) | (~spl2_4 | ~spl2_14)), 13.69/2.11 inference(backward_demodulation,[],[f98,f74])). 13.69/2.11 tff(f306,plain,( 13.69/2.11 ($false = $true) | (cP @ sK3 != $true) | ~spl2_14), 13.69/2.11 inference(superposition,[],[f15,f98])). 13.69/2.11 tff(f307,plain,( 13.69/2.11 (cP @ sK3 != $true) | ~spl2_14), 13.69/2.11 inference(trivial_inequality_removal,[],[f306])). 13.69/2.11 tff(f309,plain,( 13.69/2.11 $false | (~spl2_4 | ~spl2_14)), 13.69/2.11 inference(trivial_inequality_removal,[],[f304])). 13.69/2.11 tff(f310,plain,( 13.69/2.11 ~spl2_4 | ~spl2_14), 13.69/2.11 inference(avatar_contradiction_clause,[],[f309])). 13.69/2.11 tff(f313,plain,( 13.69/2.11 $false | (~spl2_6 | ~spl2_14)), 13.69/2.11 inference(global_subsumption,[],[f80,f307])). 13.69/2.11 tff(f314,plain,( 13.69/2.11 ~spl2_6 | ~spl2_14), 13.69/2.11 inference(avatar_contradiction_clause,[],[f313])). 13.69/2.11 tff(f321,plain,( 13.69/2.11 ( ! [X6:a,X4:a,X5:a -> '$o'] : (($true != $true) | (sK3 @ X4 != $true) | (X5 @ X6 != $true) | (X5 @ X4 != $true) | (sK3 @ X6 = $true) | (cP @ X5 != $true)) ) | ~spl2_6), 13.69/2.11 inference(superposition,[],[f18,f80])). 13.69/2.11 tff(f322,plain,( 13.69/2.11 ( ! [X6:a,X4:a,X5:a -> '$o'] : ((cP @ X5 != $true) | (X5 @ X6 != $true) | (X5 @ X4 != $true) | (sK3 @ X6 = $true) | (sK3 @ X4 != $true)) ) | ~spl2_6), 13.69/2.11 inference(trivial_inequality_removal,[],[f321])). 13.69/2.11 tff(f345,plain,( 13.69/2.11 ( ! [X3:a -> '$o'] : (($false = $true) | (cP @ X3 = $false) | (X3 @ sK5 = $false) | (X3 @ sK4 = $false)) ) | ~spl2_22), 13.69/2.11 inference(superposition,[],[f124,f198])). 13.69/2.11 tff(f350,plain,( 13.69/2.11 ( ! [X3:a -> '$o'] : ((cP @ X3 = $false) | (X3 @ sK5 = $false) | (X3 @ sK4 = $false)) ) | ~spl2_22), 13.69/2.11 inference(trivial_inequality_removal,[],[f345])). 13.69/2.11 tff(f359,plain,( 13.69/2.11 ($false != $false) | (sK3 @ sK5 = $false) | (sK3 @ sK4 = $false) | (~spl2_17 | ~spl2_22)), 13.69/2.11 inference(superposition,[],[f101,f350])). 13.69/2.11 tff(f362,plain,( 13.69/2.11 (sK3 @ sK5 = $false) | (sK3 @ sK4 = $false) | (~spl2_17 | ~spl2_22)), 13.69/2.11 inference(trivial_inequality_removal,[],[f359])). 13.69/2.11 tff(f368,plain,( 13.69/2.11 ($false = $true) | (sK3 @ sK5 = $false) | (~spl2_12 | ~spl2_17 | ~spl2_22)), 13.69/2.11 inference(forward_demodulation,[],[f362,f95])). 13.69/2.11 tff(f376,plain,( 13.69/2.11 ($false = $true) | (~spl2_20 | ~spl2_24)), 13.69/2.11 inference(backward_demodulation,[],[f130,f117])). 13.69/2.11 tff(f377,plain,( 13.69/2.11 $false | (~spl2_20 | ~spl2_24)), 13.69/2.11 inference(trivial_inequality_removal,[],[f376])). 13.69/2.11 tff(f378,plain,( 13.69/2.11 ~spl2_20 | ~spl2_24), 13.69/2.11 inference(avatar_contradiction_clause,[],[f377])). 13.69/2.11 tff(f398,plain,( 13.69/2.11 ($true != $true) | (sK3 @ sK5 = $false) | ~spl2_21), 13.69/2.11 inference(fool_paramodulation,[],[f114])). 13.69/2.11 tff(f399,plain,( 13.69/2.11 (sK3 @ sK5 = $false) | ~spl2_21), 13.69/2.11 inference(trivial_inequality_removal,[],[f398])). 13.69/2.11 tff(f469,plain,( 13.69/2.11 ($false = $true) | (sK3 @ sK4 = $false) | (sK3 @ sK5 = $true) | (~spl2_8 | ~spl2_18)), 13.69/2.11 inference(superposition,[],[f84,f111])). 13.69/2.11 tff(f470,plain,( 13.69/2.11 (sK3 @ sK4 = $false) | (sK3 @ sK5 = $true) | (~spl2_8 | ~spl2_18)), 13.69/2.11 inference(trivial_inequality_removal,[],[f469])). 13.69/2.11 tff(f477,plain,( 13.69/2.11 ($false = $true) | (sK3 @ sK5 = $true) | (~spl2_8 | ~spl2_12 | ~spl2_18)), 13.69/2.11 inference(forward_demodulation,[],[f470,f95])). 13.69/2.11 tff(f478,plain,( 13.69/2.11 (sK3 @ sK5 = $true) | (~spl2_8 | ~spl2_12 | ~spl2_18)), 13.69/2.11 inference(trivial_inequality_removal,[],[f477])). 13.69/2.11 tff(f479,plain,( 13.69/2.11 ($false = $true) | (~spl2_8 | ~spl2_12 | ~spl2_18 | ~spl2_21)), 13.69/2.11 inference(forward_demodulation,[],[f478,f399])). 13.69/2.11 tff(f480,plain,( 13.69/2.11 $false | (~spl2_8 | ~spl2_12 | ~spl2_18 | ~spl2_21)), 13.69/2.11 inference(trivial_inequality_removal,[],[f479])). 13.69/2.11 tff(f481,plain,( 13.69/2.11 ~spl2_8 | ~spl2_12 | ~spl2_18 | spl2_21), 13.69/2.11 inference(avatar_contradiction_clause,[],[f480])). 13.69/2.11 tff(f847,plain,( 13.69/2.11 ( ! [X6:a,X4:a,X7:a,X5:a] : (($true != $true) | (sK8 @ X4 @ X5 @ X6 != $true) | (sK8 @ X4 @ X5 @ X7 != $true) | (sK3 @ X6 = $true) | (sK3 @ X7 != $true) | (cQ @ X5 @ X4 = $false)) ) | ~spl2_6), 13.69/2.11 inference(superposition,[],[f322,f193])). 13.69/2.11 tff(f853,plain,( 13.69/2.11 ( ! [X6:a,X4:a,X7:a,X5:a] : ((sK8 @ X4 @ X5 @ X7 != $true) | (sK8 @ X4 @ X5 @ X6 != $true) | (sK3 @ X6 = $true) | (sK3 @ X7 != $true) | (cQ @ X5 @ X4 = $false)) ) | ~spl2_6), 13.69/2.11 inference(trivial_inequality_removal,[],[f847])). 13.69/2.11 tff(f2007,plain,( 13.69/2.11 ( ! [X4:a,X5:a,X3:a] : (($true != $true) | (sK8 @ X3 @ X4 @ X5 != $true) | (sK3 @ X5 = $true) | (sK3 @ X4 != $true) | (cQ @ X4 @ X3 = $false) | (cQ @ X4 @ X3 = $false)) ) | ~spl2_6), 13.69/2.11 inference(superposition,[],[f853,f194])). 13.69/2.11 tff(f2019,plain,( 13.69/2.11 ( ! [X4:a,X5:a,X3:a] : (($true != $true) | (sK8 @ X3 @ X4 @ X5 != $true) | (sK3 @ X5 = $true) | (sK3 @ X4 != $true) | (cQ @ X4 @ X3 = $false)) ) | ~spl2_6), 13.69/2.11 inference(duplicate_literal_removal,[],[f2007])). 13.69/2.11 tff(f2020,plain,( 13.69/2.11 ( ! [X4:a,X5:a,X3:a] : ((sK8 @ X3 @ X4 @ X5 != $true) | (sK3 @ X5 = $true) | (sK3 @ X4 != $true) | (cQ @ X4 @ X3 = $false)) ) | ~spl2_6), 13.69/2.11 inference(trivial_inequality_removal,[],[f2019])). 13.69/2.11 tff(f2026,plain,( 13.69/2.11 ( ! [X0:a,X1:a] : (($true != $true) | (sK3 @ X0 = $true) | (sK3 @ X1 != $true) | (cQ @ X1 @ X0 = $false) | (cQ @ X1 @ X0 = $false)) ) | ~spl2_6), 13.69/2.11 inference(superposition,[],[f2020,f192])). 13.69/2.11 tff(f2040,plain,( 13.69/2.11 ( ! [X0:a,X1:a] : (($true != $true) | (sK3 @ X0 = $true) | (sK3 @ X1 != $true) | (cQ @ X1 @ X0 = $false)) ) | ~spl2_6), 13.69/2.11 inference(duplicate_literal_removal,[],[f2026])). 13.69/2.11 tff(f2041,plain,( 13.69/2.11 ( ! [X0:a,X1:a] : ((cQ @ X1 @ X0 = $false) | (sK3 @ X1 != $true) | (sK3 @ X0 = $true)) ) | ~spl2_6), 13.69/2.11 inference(trivial_inequality_removal,[],[f2040])). 13.69/2.11 tff(f2049,plain,( 13.69/2.11 ($false = $true) | (sK3 @ sK4 != $true) | (sK3 @ sK5 = $true) | (~spl2_6 | ~spl2_18)), 13.69/2.11 inference(superposition,[],[f111,f2041])). 13.69/2.11 tff(f2055,plain,( 13.69/2.11 (sK3 @ sK4 != $true) | (sK3 @ sK5 = $true) | (~spl2_6 | ~spl2_18)), 13.69/2.11 inference(trivial_inequality_removal,[],[f2049])). 13.69/2.11 tff(f2069,plain,( 13.69/2.11 (sK3 @ sK5 = $true) | (~spl2_6 | ~spl2_12 | ~spl2_18)), 13.69/2.11 inference(subsumption_resolution,[],[f2055,f95])). 13.69/2.11 tff(f2070,plain,( 13.69/2.11 ($false = $true) | (~spl2_6 | ~spl2_12 | ~spl2_18 | ~spl2_21)), 13.69/2.11 inference(forward_demodulation,[],[f2069,f399])). 13.69/2.11 tff(f2071,plain,( 13.69/2.11 $false | (~spl2_6 | ~spl2_12 | ~spl2_18 | ~spl2_21)), 13.69/2.11 inference(trivial_inequality_removal,[],[f2070])). 13.69/2.11 tff(f2072,plain,( 13.69/2.11 ~spl2_6 | ~spl2_12 | ~spl2_18 | spl2_21), 13.69/2.11 inference(avatar_contradiction_clause,[],[f2071])). 13.69/2.11 tff(f2080,plain,( 13.69/2.11 (sK3 @ sK5 = $false) | (~spl2_12 | ~spl2_17 | ~spl2_22)), 13.69/2.11 inference(trivial_inequality_removal,[],[f368])). 13.69/2.11 tff(f2091,plain,( 13.69/2.11 $false | (~spl2_12 | ~spl2_17 | ~spl2_20 | ~spl2_22 | ~spl2_25)), 13.69/2.11 inference(global_subsumption,[],[f127,f2080])). 13.69/2.11 tff(f2092,plain,( 13.69/2.11 ~spl2_12 | spl2_17 | ~spl2_20 | ~spl2_22 | spl2_25), 13.69/2.11 inference(avatar_contradiction_clause,[],[f2091])). 13.69/2.11 tff(f2143,plain,( 13.69/2.11 ( ! [X0:a] : ((sK3 @ (sK48 @ X0) != sK0 @ X0 @ (sK48 @ X0))) ) | ~spl2_16), 13.69/2.11 inference(negative_extensionality,[],[f143])). 13.69/2.11 tff(f2145,plain,( 13.69/2.11 ( ! [X0:a] : ((sK0 @ X0 @ (sK48 @ X0) = $true) | (sK3 @ (sK48 @ X0) = $true)) ) | ~spl2_16), 13.69/2.11 inference(binary_proxy_clausification,[],[f2143])). 13.69/2.11 tff(f2146,plain,( 13.69/2.11 ( ! [X0:a] : ((sK0 @ X0 @ (sK48 @ X0) = $false) | (sK3 @ (sK48 @ X0) = $false)) ) | ~spl2_16), 13.69/2.11 inference(binary_proxy_clausification,[],[f2143])). 13.69/2.11 tff(f2186,plain,( 13.69/2.11 ( ! [X2:a -> '$o',X0:a,X1:a] : (($false = $true) | (cP @ X2 = $false) | (X2 @ X1 = $false) | (X2 @ X0 = $false) | (sK3 @ X0 = $false) | (sK3 @ X1 = $true)) ) | ~spl2_8), 13.69/2.11 inference(superposition,[],[f198,f84])). 13.69/2.11 tff(f2189,plain,( 13.69/2.11 ( ! [X2:a -> '$o',X0:a,X1:a] : ((cP @ X2 = $false) | (X2 @ X1 = $false) | (X2 @ X0 = $false) | (sK3 @ X0 = $false) | (sK3 @ X1 = $true)) ) | ~spl2_8), 13.69/2.11 inference(trivial_inequality_removal,[],[f2186])). 13.69/2.11 tff(f2321,plain,( 13.69/2.11 ( ! [X2:a -> '$o',X3:a,X1:a] : (($false = $true) | (X2 @ (sK48 @ X1) != $true) | (X2 @ X3 != $true) | (sK0 @ X1 @ X3 != $true) | (cP @ X2 != $true) | (sK3 @ (sK48 @ X1) = $false)) ) | ~spl2_16), 13.69/2.11 inference(superposition,[],[f27,f2146])). 13.69/2.11 tff(f2322,plain,( 13.69/2.11 ( ! [X2:a -> '$o',X3:a,X1:a] : ((sK0 @ X1 @ X3 != $true) | (X2 @ X3 != $true) | (X2 @ (sK48 @ X1) != $true) | (cP @ X2 != $true) | (sK3 @ (sK48 @ X1) = $false)) ) | ~spl2_16), 13.69/2.11 inference(trivial_inequality_removal,[],[f2321])). 13.69/2.11 tff(f2335,plain,( 13.69/2.11 ( ! [X8:a,X7:a,X9:a] : (($false = $true) | (sK0 @ X7 @ X8 = $false) | (sK0 @ X7 @ X9 = $false) | (sK3 @ X9 = $false) | (sK3 @ X8 = $true)) ) | ~spl2_8), 13.69/2.11 inference(superposition,[],[f17,f2189])). 13.69/2.11 tff(f2343,plain,( 13.69/2.11 ( ! [X8:a,X7:a,X9:a] : ((sK0 @ X7 @ X9 = $false) | (sK0 @ X7 @ X8 = $false) | (sK3 @ X9 = $false) | (sK3 @ X8 = $true)) ) | ~spl2_8), 13.69/2.11 inference(trivial_inequality_removal,[],[f2335])). 13.69/2.11 tff(f2359,plain,( 13.69/2.11 ( ! [X0:a,X1:a] : (($false = $true) | (sK0 @ X0 @ X1 = $false) | (sK3 @ X0 = $false) | (sK3 @ X1 = $true)) ) | ~spl2_8), 13.69/2.11 inference(superposition,[],[f16,f2343])). 13.69/2.11 tff(f2372,plain,( 13.69/2.11 ( ! [X0:a,X1:a] : ((sK0 @ X0 @ X1 = $false) | (sK3 @ X0 = $false) | (sK3 @ X1 = $true)) ) | ~spl2_8), 13.69/2.11 inference(trivial_inequality_removal,[],[f2359])). 13.69/2.11 tff(f2391,plain,( 13.69/2.11 ( ! [X16:a] : (($false = $true) | (sK3 @ (sK48 @ X16) = $true) | (sK3 @ X16 = $false) | (sK3 @ (sK48 @ X16) = $true)) ) | (~spl2_8 | ~spl2_16)), 13.69/2.11 inference(superposition,[],[f2145,f2372])). 13.69/2.11 tff(f2394,plain,( 13.69/2.11 ( ! [X16:a] : (($false = $true) | (sK3 @ (sK48 @ X16) = $true) | (sK3 @ X16 = $false)) ) | (~spl2_8 | ~spl2_16)), 13.69/2.11 inference(duplicate_literal_removal,[],[f2391])). 13.69/2.11 tff(f2395,plain,( 13.69/2.11 ( ! [X16:a] : ((sK3 @ (sK48 @ X16) = $true) | (sK3 @ X16 = $false)) ) | (~spl2_8 | ~spl2_16)), 13.69/2.11 inference(trivial_inequality_removal,[],[f2394])). 13.69/2.11 tff(f2898,plain,( 13.69/2.11 ( ! [X0:a,X1:a -> '$o'] : (($true != $true) | (X1 @ X0 != $true) | (X1 @ (sK48 @ X0) != $true) | (cP @ X1 != $true) | (sK3 @ (sK48 @ X0) = $false)) ) | ~spl2_16), 13.69/2.11 inference(superposition,[],[f2322,f16])). 13.69/2.11 tff(f2928,plain,( 13.69/2.11 ( ! [X0:a,X1:a -> '$o'] : ((sK3 @ (sK48 @ X0) = $false) | (X1 @ (sK48 @ X0) != $true) | (cP @ X1 != $true) | (X1 @ X0 != $true)) ) | ~spl2_16), 13.69/2.11 inference(trivial_inequality_removal,[],[f2898])). 13.69/2.11 tff(f2934,plain,( 13.69/2.11 ( ! [X0:a,X1:a -> '$o'] : (($false = $true) | (sK3 @ X0 = $false) | (X1 @ (sK48 @ X0) != $true) | (cP @ X1 != $true) | (X1 @ X0 != $true)) ) | (~spl2_8 | ~spl2_16)), 13.69/2.11 inference(superposition,[],[f2395,f2928])). 13.69/2.11 tff(f2939,plain,( 13.69/2.11 ( ! [X0:a,X1:a -> '$o'] : ((X1 @ (sK48 @ X0) != $true) | (sK3 @ X0 = $false) | (cP @ X1 != $true) | (X1 @ X0 != $true)) ) | (~spl2_8 | ~spl2_16)), 13.69/2.11 inference(trivial_inequality_removal,[],[f2934])). 13.69/2.11 tff(f2955,plain,( 13.69/2.11 ( ! [X26:a,X27:a] : (($true != $true) | (sK3 @ X26 = $false) | (cP @ (sK8 @ (sK48 @ X26) @ X27) != $true) | (sK8 @ (sK48 @ X26) @ X27 @ X26 != $true) | (cQ @ X27 @ (sK48 @ X26) = $false)) ) | (~spl2_8 | ~spl2_16)), 13.69/2.11 inference(superposition,[],[f2939,f192])). 13.69/2.11 tff(f2971,plain,( 13.69/2.11 ( ! [X26:a,X27:a] : ((sK3 @ X26 = $false) | (cP @ (sK8 @ (sK48 @ X26) @ X27) != $true) | (sK8 @ (sK48 @ X26) @ X27 @ X26 != $true) | (cQ @ X27 @ (sK48 @ X26) = $false)) ) | (~spl2_8 | ~spl2_16)), 13.69/2.11 inference(trivial_inequality_removal,[],[f2955])). 13.69/2.11 tff(f2980,plain,( 13.69/2.11 ( ! [X26:a,X27:a] : ((sK8 @ (sK48 @ X26) @ X27 @ X26 != $true) | (sK3 @ X26 = $false) | (cQ @ X27 @ (sK48 @ X26) = $false)) ) | (~spl2_8 | ~spl2_16)), 13.69/2.11 inference(subsumption_resolution,[],[f2971,f193])). 13.69/2.11 tff(f3378,plain,( 13.69/2.11 ( ! [X0:a] : (($true != $true) | (sK3 @ X0 = $false) | (cQ @ X0 @ (sK48 @ X0) = $false) | (cQ @ X0 @ (sK48 @ X0) = $false)) ) | (~spl2_8 | ~spl2_16)), 13.69/2.11 inference(superposition,[],[f2980,f194])). 13.69/2.11 tff(f3388,plain,( 13.69/2.11 ( ! [X0:a] : (($true != $true) | (sK3 @ X0 = $false) | (cQ @ X0 @ (sK48 @ X0) = $false)) ) | (~spl2_8 | ~spl2_16)), 13.69/2.11 inference(duplicate_literal_removal,[],[f3378])). 13.69/2.11 tff(f3389,plain,( 13.69/2.11 ( ! [X0:a] : ((cQ @ X0 @ (sK48 @ X0) = $false) | (sK3 @ X0 = $false)) ) | (~spl2_8 | ~spl2_16)), 13.69/2.11 inference(trivial_inequality_removal,[],[f3388])). 13.69/2.11 tff(f3393,plain,( 13.69/2.11 ( ! [X0:a] : (($false = $true) | (sK3 @ X0 = $false) | (sK3 @ (sK48 @ X0) = $false) | (sK3 @ X0 = $false)) ) | (~spl2_8 | ~spl2_10 | ~spl2_16)), 13.69/2.11 inference(superposition,[],[f88,f3389])). 13.69/2.11 tff(f3398,plain,( 13.69/2.11 ( ! [X0:a] : (($false = $true) | (sK3 @ X0 = $false) | (sK3 @ (sK48 @ X0) = $false)) ) | (~spl2_8 | ~spl2_10 | ~spl2_16)), 13.69/2.11 inference(duplicate_literal_removal,[],[f3393])). 13.69/2.11 tff(f3399,plain,( 13.69/2.11 ( ! [X0:a] : ((sK3 @ (sK48 @ X0) = $false) | (sK3 @ X0 = $false)) ) | (~spl2_8 | ~spl2_10 | ~spl2_16)), 13.69/2.11 inference(trivial_inequality_removal,[],[f3398])). 13.69/2.11 tff(f3406,plain,( 13.69/2.11 ( ! [X1:a] : (($false = $true) | (sK3 @ X1 = $false) | (sK3 @ X1 = $false)) ) | (~spl2_8 | ~spl2_10 | ~spl2_16)), 13.69/2.11 inference(superposition,[],[f2395,f3399])). 13.69/2.11 tff(f3413,plain,( 13.69/2.11 ( ! [X1:a] : (($false = $true) | (sK3 @ X1 = $false)) ) | (~spl2_8 | ~spl2_10 | ~spl2_16)), 13.69/2.11 inference(duplicate_literal_removal,[],[f3406])). 13.69/2.11 tff(f3414,plain,( 13.69/2.11 ( ! [X1:a] : ((sK3 @ X1 = $false)) ) | (~spl2_8 | ~spl2_10 | ~spl2_16)), 13.69/2.11 inference(trivial_inequality_removal,[],[f3413])). 13.69/2.11 tff(f3440,plain,( 13.69/2.11 ($false = $true) | (~spl2_4 | ~spl2_8 | ~spl2_10 | ~spl2_16)), 13.69/2.11 inference(backward_demodulation,[],[f3414,f74])). 13.69/2.11 tff(f3450,plain,( 13.69/2.11 $false | (~spl2_4 | ~spl2_8 | ~spl2_10 | ~spl2_16)), 13.69/2.11 inference(trivial_inequality_removal,[],[f3440])). 13.69/2.11 tff(f3451,plain,( 13.69/2.11 ~spl2_4 | ~spl2_8 | ~spl2_10 | ~spl2_16), 13.69/2.11 inference(avatar_contradiction_clause,[],[f3450])). 13.69/2.11 tff(f3481,plain,( 13.69/2.11 $false), 13.69/2.11 inference(avatar_sat_refutation,[],[f81,f85,f89,f105,f118,f131,f146,f310,f314,f378,f481,f2072,f2092,f3451])). 13.69/2.11 % SZS output end Proof for theBenchmark 13.69/2.11 % (9194)------------------------------ 13.69/2.11 % (9194)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 13.69/2.11 % (9194)Termination reason: Refutation 13.69/2.11 13.69/2.11 % (9194)Memory used [KB]: 14711 13.69/2.11 % (9194)Time elapsed: 1.229 s 13.69/2.11 % (9194)------------------------------ 13.69/2.11 % (9194)------------------------------ 13.69/2.13 % (9155)Success in time 1.802 s 13.69/2.14 EOF