0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.11 % Command : run_vampire %s %d 0.09/0.31 % Computer : n009.cluster.edu 0.09/0.31 % Model : x86_64 x86_64 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.31 % Memory : 8042.1875MB 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.31 % CPULimit : 960 0.09/0.31 % WCLimit : 120 0.09/0.31 % DateTime : Thu Jul 2 08:23:07 EDT 2020 0.09/0.31 % CPUTime : 0.16/0.36 % (29514)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 0.16/0.36 % (29518)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 0.16/0.36 % (29531)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 0.16/0.36 % (29517)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 0.16/0.36 % (29532)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 0.16/0.37 % (29509)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 0.16/0.37 % (29513)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 0.16/0.37 % (29512)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 0.16/0.37 % (29523)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 0.16/0.37 % (29508)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 0.16/0.37 % (29519)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 0.16/0.37 % (29520)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 0.16/0.37 % (29521)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 0.16/0.37 % (29530)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 0.16/0.37 % (29510)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 0.16/0.37 % (29511)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 0.16/0.38 % (29522)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 0.16/0.38 % (29515)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 0.16/0.38 % (29524)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 0.16/0.38 % (29535)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 0.16/0.38 % (29537)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 0.16/0.38 % (29536)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 0.16/0.38 % (29526)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 0.16/0.38 % (29533)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 0.16/0.39 % (29516)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 0.16/0.39 % (29528)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 0.16/0.39 % (29527)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 0.16/0.39 % (29529)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 0.16/0.39 % (29525)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 0.16/0.40 % (29534)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 0.16/0.45 % (29522)Refutation not found, incomplete strategy 0.16/0.45 % (29522)------------------------------ 0.16/0.45 % (29522)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 0.16/0.46 % (29510)Refutation not found, incomplete strategy 0.16/0.46 % (29510)------------------------------ 0.16/0.46 % (29510)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 0.16/0.46 % (29510)Termination reason: Refutation not found, incomplete strategy 0.16/0.46 0.16/0.46 % (29510)Memory used [KB]: 9978 0.16/0.46 % (29510)Time elapsed: 0.122 s 0.16/0.46 % (29510)------------------------------ 0.16/0.46 % (29510)------------------------------ 0.16/0.46 % (29522)Termination reason: Refutation not found, incomplete strategy 0.16/0.46 0.16/0.46 % (29522)Memory used [KB]: 5500 0.16/0.46 % (29522)Time elapsed: 0.115 s 0.16/0.46 % (29522)------------------------------ 0.16/0.46 % (29522)------------------------------ 0.16/0.47 % (29532)Refutation not found, incomplete strategy 0.16/0.47 % (29532)------------------------------ 0.16/0.47 % (29532)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 0.16/0.47 % (29532)Termination reason: Refutation not found, incomplete strategy 0.16/0.47 0.16/0.47 % (29532)Memory used [KB]: 5500 0.16/0.47 % (29532)Time elapsed: 0.144 s 0.16/0.47 % (29532)------------------------------ 0.16/0.47 % (29532)------------------------------ 0.16/0.47 % (29531)Refutation not found, incomplete strategy 0.16/0.47 % (29531)------------------------------ 0.16/0.47 % (29531)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 0.16/0.48 % (29531)Termination reason: Refutation not found, incomplete strategy 0.16/0.48 0.16/0.48 % (29531)Memory used [KB]: 10490 0.16/0.48 % (29531)Time elapsed: 0.128 s 0.16/0.48 % (29531)------------------------------ 0.16/0.48 % (29531)------------------------------ 0.16/0.49 % (29534)Refutation not found, incomplete strategy 0.16/0.49 % (29534)------------------------------ 0.16/0.49 % (29534)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 0.16/0.49 % (29534)Termination reason: Refutation not found, incomplete strategy 0.16/0.49 0.16/0.49 % (29534)Memory used [KB]: 9978 0.16/0.49 % (29534)Time elapsed: 0.153 s 0.16/0.49 % (29534)------------------------------ 0.16/0.49 % (29534)------------------------------ 0.16/0.50 % (29538)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 0.16/0.54 % (29541)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 0.16/0.54 % (29540)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 0.16/0.55 % (29539)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 0.16/0.57 % (29542)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 2.04/0.61 % (29541)Refutation not found, incomplete strategy 2.04/0.61 % (29541)------------------------------ 2.04/0.61 % (29541)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 2.04/0.61 % (29541)Termination reason: Refutation not found, incomplete strategy 2.04/0.61 2.04/0.61 % (29541)Memory used [KB]: 9978 2.04/0.61 % (29541)Time elapsed: 0.106 s 2.04/0.61 % (29541)------------------------------ 2.04/0.61 % (29541)------------------------------ 2.41/0.65 % (29518)Refutation not found, incomplete strategy 2.41/0.65 % (29518)------------------------------ 2.41/0.65 % (29518)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 2.41/0.65 % (29518)Termination reason: Refutation not found, incomplete strategy 2.41/0.65 2.41/0.65 % (29518)Memory used [KB]: 11257 2.41/0.65 % (29518)Time elapsed: 0.316 s 2.41/0.65 % (29518)------------------------------ 2.41/0.65 % (29518)------------------------------ 2.41/0.67 % (29540)Refutation not found, incomplete strategy 2.41/0.67 % (29540)------------------------------ 2.41/0.67 % (29540)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 2.41/0.67 % (29540)Termination reason: Refutation not found, incomplete strategy 2.41/0.67 2.41/0.67 % (29540)Memory used [KB]: 9978 2.41/0.67 % (29540)Time elapsed: 0.182 s 2.41/0.67 % (29540)------------------------------ 2.41/0.67 % (29540)------------------------------ 2.41/0.67 % (29543)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 2.90/0.71 % (29544)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 2.90/0.74 % (29545)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 3.33/0.84 % (29511)Time limit reached! 3.33/0.84 % (29511)------------------------------ 3.33/0.84 % (29511)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.33/0.84 % (29511)Termination reason: Time limit 3.33/0.84 3.33/0.84 % (29511)Memory used [KB]: 13048 3.33/0.84 % (29511)Time elapsed: 0.502 s 3.33/0.84 % (29511)------------------------------ 3.33/0.84 % (29511)------------------------------ 3.33/0.84 % (29509)Time limit reached! 3.33/0.84 % (29509)------------------------------ 3.33/0.84 % (29509)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.33/0.84 % (29509)Termination reason: Time limit 3.33/0.84 3.33/0.84 % (29509)Memory used [KB]: 11385 3.33/0.84 % (29509)Time elapsed: 0.503 s 3.33/0.84 % (29509)------------------------------ 3.33/0.84 % (29509)------------------------------ 3.33/0.84 % (29508)Time limit reached! 3.33/0.84 % (29508)------------------------------ 3.33/0.84 % (29508)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.33/0.84 % (29508)Termination reason: Time limit 3.33/0.84 % (29508)Termination phase: Saturation 3.33/0.84 3.33/0.84 % (29508)Memory used [KB]: 2174 3.33/0.84 % (29508)Time elapsed: 0.516 s 3.33/0.84 % (29508)------------------------------ 3.33/0.84 % (29508)------------------------------ 3.33/0.85 % (29519)Time limit reached! 3.33/0.85 % (29519)------------------------------ 3.33/0.85 % (29519)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.03/0.86 % (29519)Termination reason: Time limit 4.03/0.86 4.03/0.86 % (29519)Memory used [KB]: 12153 4.03/0.86 % (29519)Time elapsed: 0.525 s 4.03/0.86 % (29519)------------------------------ 4.03/0.86 % (29519)------------------------------ 4.03/0.86 % (29520)Time limit reached! 4.03/0.86 % (29520)------------------------------ 4.03/0.86 % (29520)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.03/0.86 % (29520)Termination reason: Time limit 4.03/0.86 4.03/0.86 % (29520)Memory used [KB]: 6652 4.03/0.86 % (29520)Time elapsed: 0.524 s 4.03/0.86 % (29520)------------------------------ 4.03/0.86 % (29520)------------------------------ 4.25/0.90 % (29548)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 4.25/0.90 % (29547)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 4.25/0.90 % (29550)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 4.25/0.91 % (29549)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 4.25/0.92 % (29546)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 4.44/0.94 % (29514)Time limit reached! 4.44/0.94 % (29514)------------------------------ 4.44/0.94 % (29514)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.44/0.94 % (29514)Termination reason: Time limit 4.44/0.94 4.44/0.94 % (29514)Memory used [KB]: 13816 4.44/0.94 % (29514)Time elapsed: 0.606 s 4.44/0.94 % (29514)------------------------------ 4.44/0.94 % (29514)------------------------------ 4.52/0.97 % (29517)Time limit reached! 4.52/0.97 % (29517)------------------------------ 4.52/0.97 % (29517)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.52/0.97 % (29517)Termination reason: Time limit 4.52/0.97 4.52/0.97 % (29517)Memory used [KB]: 12665 4.52/0.97 % (29517)Time elapsed: 0.634 s 4.52/0.97 % (29517)------------------------------ 4.52/0.97 % (29517)------------------------------ 4.52/0.98 % (29549)Refutation not found, incomplete strategy 4.52/0.98 % (29549)------------------------------ 4.52/0.98 % (29549)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.52/0.98 % (29549)Termination reason: Refutation not found, incomplete strategy 4.52/0.98 4.52/0.98 % (29549)Memory used [KB]: 10234 4.52/0.98 % (29549)Time elapsed: 0.125 s 4.52/0.98 % (29549)------------------------------ 4.52/0.98 % (29549)------------------------------ 4.92/1.00 % (29551)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 4.92/1.01 % (29548)Refutation not found, incomplete strategy 4.92/1.01 % (29548)------------------------------ 4.92/1.01 % (29548)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.92/1.01 % (29548)Termination reason: Refutation not found, incomplete strategy 4.92/1.01 4.92/1.01 % (29548)Memory used [KB]: 5500 4.92/1.01 % (29548)Time elapsed: 0.164 s 4.92/1.01 % (29548)------------------------------ 4.92/1.01 % (29548)------------------------------ 4.92/1.01 % (29533)Refutation found. Thanks to Tanya! 4.92/1.01 % SZS status Theorem for theBenchmark 4.92/1.01 % SZS output start Proof for theBenchmark 4.92/1.01 tff(func_def_0, type, mu: '$tType'). 4.92/1.01 tff(func_def_4, type, ->: ('$tType' * '$tType') > '$tType'). 4.92/1.01 tff(func_def_5, type, meq_ind: mu -> mu -> '$i' -> '$o'). 4.92/1.01 tff(func_def_6, type, meq_prop: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 4.92/1.01 tff(func_def_7, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 4.92/1.01 tff(func_def_8, type, mnot: ('$i' -> '$o') -> '$i' -> '$o'). 4.92/1.01 tff(func_def_9, type, mor: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 4.92/1.01 tff(func_def_10, type, mand: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 4.92/1.01 tff(func_def_11, type, mimplies: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 4.92/1.01 tff(func_def_12, type, mimplied: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 4.92/1.01 tff(func_def_13, type, mequiv: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 4.92/1.01 tff(func_def_14, type, mxor: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 4.92/1.01 tff(func_def_15, type, mforall_ind: (mu -> '$i' -> '$o') -> '$i' -> '$o'). 4.92/1.01 tff(func_def_16, type, mforall_prop: (('$i' -> '$o') -> '$i' -> '$o') -> '$i' -> '$o'). 4.92/1.01 tff(func_def_17, type, mexists_ind: (mu -> '$i' -> '$o') -> '$i' -> '$o'). 4.92/1.01 tff(func_def_18, type, mexists_prop: (('$i' -> '$o') -> '$i' -> '$o') -> '$i' -> '$o'). 4.92/1.01 tff(func_def_19, type, mtrue: '$i' -> '$o'). 4.92/1.01 tff(func_def_20, type, mfalse: '$i' -> '$o'). 4.92/1.01 tff(func_def_21, type, mbox: ('$i' -> '$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 4.92/1.01 tff(func_def_22, type, mdia: ('$i' -> '$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 4.92/1.01 tff(func_def_23, type, mreflexive: ('$i' -> '$i' -> '$o') -> '$o'). 4.92/1.01 tff(func_def_24, type, msymmetric: ('$i' -> '$i' -> '$o') -> '$o'). 4.92/1.01 tff(func_def_25, type, mserial: ('$i' -> '$i' -> '$o') -> '$o'). 4.92/1.01 tff(func_def_26, type, mtransitive: ('$i' -> '$i' -> '$o') -> '$o'). 4.92/1.01 tff(func_def_27, type, meuclidean: ('$i' -> '$i' -> '$o') -> '$o'). 4.92/1.01 tff(func_def_28, type, mpartially_functional: ('$i' -> '$i' -> '$o') -> '$o'). 4.92/1.01 tff(func_def_29, type, mfunctional: ('$i' -> '$i' -> '$o') -> '$o'). 4.92/1.01 tff(func_def_30, type, mweakly_dense: ('$i' -> '$i' -> '$o') -> '$o'). 4.92/1.01 tff(func_def_31, type, mweakly_connected: ('$i' -> '$i' -> '$o') -> '$o'). 4.92/1.01 tff(func_def_32, type, mweakly_directed: ('$i' -> '$i' -> '$o') -> '$o'). 4.92/1.01 tff(func_def_33, type, mvalid: ('$i' -> '$o') -> '$o'). 4.92/1.01 tff(func_def_34, type, minvalid: ('$i' -> '$o') -> '$o'). 4.92/1.01 tff(func_def_35, type, msatisfiable: ('$i' -> '$o') -> '$o'). 4.92/1.01 tff(func_def_36, type, mcountersatisfiable: ('$i' -> '$o') -> '$o'). 4.92/1.01 tff(func_def_37, type, a1: '$i' -> '$i' -> '$o'). 4.92/1.01 tff(func_def_38, type, a2: '$i' -> '$i' -> '$o'). 4.92/1.01 tff(func_def_39, type, a: mu). 4.92/1.01 tff(func_def_40, type, tom: mu). 4.92/1.01 tff(func_def_41, type, p: mu -> '$i' -> '$o'). 4.92/1.01 tff(func_def_42, type, q: mu -> '$i' -> '$o'). 4.92/1.01 tff(func_def_43, type, r: mu -> '$i' -> '$o'). 4.92/1.01 tff(func_def_44, type, s: mu -> '$i' -> '$o'). 4.92/1.01 tff(func_def_45, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 4.92/1.01 tff(func_def_48, type, vNOT: '$o' -> '$o'). 4.92/1.01 tff(func_def_49, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 4.92/1.01 tff(func_def_50, type, vAND: '$o' -> '$o' -> '$o'). 4.92/1.01 tff(func_def_51, type, vIMP: '$o' -> '$o' -> '$o'). 4.92/1.01 tff(func_def_52, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o'). 4.92/1.01 tff(func_def_53, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 4.92/1.01 tff(func_def_54, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 4.92/1.01 tff(func_def_55, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2). 4.92/1.01 tff(func_def_56, type, iCOMB: !>[X2: $ttype]:X2 -> X2). 4.92/1.01 tff(func_def_57, type, vOR: '$o' -> '$o' -> '$o'). 4.92/1.01 tff(func_def_58, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1). 4.92/1.01 tff(func_def_60, type, sK1: ('$i' -> '$o') -> '$i' -> '$i'). 4.92/1.01 tff(func_def_61, type, sK2: ('$i' -> '$o') -> '$i' -> '$i'). 4.92/1.01 tff(func_def_62, type, sK3: ('$i' -> '$o') -> '$i' -> '$i'). 4.92/1.01 tff(func_def_63, type, sK4: ('$i' -> '$o') -> '$i' -> '$i'). 4.92/1.01 tff(func_def_64, type, sK5: ('$i' -> '$o') -> '$i' -> '$i'). 4.92/1.01 tff(func_def_65, type, sK6: '$i' -> '$i'). 4.92/1.01 tff(func_def_67, type, sK8: mu -> '$i'). 4.92/1.01 tff(func_def_68, type, sK9: '$i' -> '$i' -> '$i'). 4.92/1.01 tff(func_def_69, type, sK10: '$i' -> '$i' -> '$i'). 4.92/1.01 tff(func_def_70, type, sK11: '$i' -> '$i' -> '$i'). 4.92/1.01 tff(func_def_71, type, sK12: '$i' -> '$i' -> '$i'). 4.92/1.01 tff(func_def_72, type, sK13: '$i' -> '$i' -> '$i'). 4.92/1.01 tff(f3,axiom,( 4.92/1.01 mnot = (^[X3 : '$i' -> '$o', X2 : '$i'] : ~X3 @ X2)), 4.92/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)). 4.92/1.01 tff(f4,axiom,( 4.92/1.01 mor = (^[X3 : '$i' -> '$o', X4 : '$i' -> '$o', X2 : '$i'] : X4 @ X2 | X3 @ X2)), 4.92/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor)). 4.92/1.01 tff(f5,axiom,( 4.92/1.01 mand = (^[X3 : '$i' -> '$o', X4 : '$i' -> '$o'] : mnot @ (mor @ (mnot @ X3) @ (mnot @ X4)))), 4.92/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand)). 4.92/1.01 tff(f6,axiom,( 4.92/1.01 mimplies = (^[X3 : '$i' -> '$o', X4 : '$i' -> '$o'] : mor @ (mnot @ X3) @ X4)), 4.92/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies)). 4.92/1.01 tff(f10,axiom,( 4.92/1.01 mforall_ind = (^[X3 : mu -> '$i' -> '$o', X2 : '$i'] : ! [X0 : mu] : X3 @ X0 @ X2)), 4.92/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_ind)). 4.92/1.01 tff(f11,axiom,( 4.92/1.01 mforall_prop = (^[X3 : ('$i' -> '$o') -> '$i' -> '$o', X2 : '$i'] : ! [X5 : '$i' -> '$o'] : X3 @ X5 @ X2)), 4.92/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_prop)). 4.92/1.01 tff(f12,axiom,( 4.92/1.01 mexists_ind = (^[X3 : mu -> '$i' -> '$o'] : mnot @ (mforall_ind @ (^[X0 : mu] : mnot @ (X3 @ X0))))), 4.92/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_ind)). 4.92/1.01 tff(f16,axiom,( 4.92/1.01 mbox = (^[X6 : '$i' -> '$i' -> '$o', X3 : '$i' -> '$o', X2 : '$i'] : ! [X7] : (X3 @ X7 | ~X6 @ X2 @ X7))), 4.92/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox)). 4.92/1.01 tff(f17,axiom,( 4.92/1.01 mdia = (^[X6 : '$i' -> '$i' -> '$o', X3 : '$i' -> '$o'] : mnot @ (mbox @ X6 @ (mnot @ X3)))), 4.92/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia)). 4.92/1.01 tff(f28,axiom,( 4.92/1.01 mvalid = (^[X3 : '$i' -> '$o'] : ! [X2] : X3 @ X2)), 4.92/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)). 4.92/1.01 tff(f33,axiom,( 4.92/1.01 mvalid @ (mforall_ind @ (^[X0 : mu] : mbox @ a2 @ (mimplies @ (mdia @ a2 @ (q @ X0)) @ (p @ X0))))), 4.92/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a1)). 4.92/1.01 tff(f36,axiom,( 4.92/1.01 mvalid @ (mforall_ind @ (^[X0 : mu] : mbox @ a1 @ (mimplies @ (s @ X0) @ (mbox @ a1 @ (r @ X0)))))), 4.92/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a3)). 4.92/1.01 tff(f37,conjecture,( 4.92/1.01 mvalid @ (mexists_ind @ (^[X0 : mu] : mbox @ a1 @ (p @ X0)))), 4.92/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)). 4.92/1.01 tff(f38,negated_conjecture,( 4.92/1.01 ~mvalid @ (mexists_ind @ (^[X0 : mu] : mbox @ a1 @ (p @ X0)))), 4.92/1.01 inference(negated_conjecture,[],[f37])). 4.92/1.01 tff(f39,axiom,( 4.92/1.01 mvalid @ (mforall_prop @ (^[X3 : '$i' -> '$o'] : mimplies @ (mbox @ a2 @ X3) @ (mbox @ a1 @ X3)))), 4.92/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_a2_a1)). 4.92/1.01 tff(f40,axiom,( 4.92/1.01 mvalid @ (mforall_ind @ (^[X0 : mu] : mbox @ a1 @ (mimplies @ (mand @ (r @ X0) @ (s @ X0)) @ (q @ X0))))), 4.92/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a2)). 4.92/1.01 tff(f41,axiom,( 4.92/1.01 mvalid @ (mdia @ a1 @ (s @ a))), 4.92/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a4)). 4.92/1.01 tff(f42,axiom,( 4.92/1.01 mvalid @ (mforall_prop @ (^[X3 : '$i' -> '$o'] : mimplies @ (mbox @ a1 @ X3) @ (mbox @ a1 @ (mbox @ a1 @ X3))))), 4.92/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_a1_a1)). 4.92/1.01 tff(f43,plain,( 4.92/1.01 ~mvalid @ (mexists_ind @ (^[X0 : mu] : mbox @ a1 @ (p @ X0)))), 4.92/1.01 inference(rectify,[],[f38])). 4.92/1.01 tff(f44,plain,( 4.92/1.01 ~(mvalid @ (mexists_ind @ (bCOMB @ (mbox @ a1) @ p)) = $true)), 4.92/1.01 inference(fool_elimination,[],[f43])). 4.92/1.01 tff(f83,plain,( 4.92/1.01 mexists_ind = (^[X0 : mu -> '$i' -> '$o'] : mnot @ (mforall_ind @ (^[X1 : mu] : mnot @ (X0 @ X1))))), 4.92/1.01 inference(rectify,[],[f12])). 4.92/1.01 tff(f84,plain,( 4.92/1.01 bCOMB @ mnot @ (bCOMB @ mforall_ind @ (bCOMB @ mnot)) = mexists_ind), 4.92/1.01 inference(fool_elimination,[],[f83])). 4.92/1.01 tff(f85,plain,( 4.92/1.01 mdia = (^[X0 : '$i' -> '$i' -> '$o', X1 : '$i' -> '$o'] : mnot @ (mbox @ X0 @ (mnot @ X1)))), 4.92/1.01 inference(rectify,[],[f17])). 4.92/1.01 tff(f86,plain,( 4.92/1.01 bCOMB @ (bCOMB @ mnot) @ (cCOMB @ (bCOMB @ bCOMB @ mbox) @ mnot) = mdia), 4.92/1.01 inference(fool_elimination,[],[f85])). 4.92/1.01 tff(f87,plain,( 4.92/1.01 mand = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o'] : mnot @ (mor @ (mnot @ X0) @ (mnot @ X1)))), 4.92/1.01 inference(rectify,[],[f5])). 4.92/1.01 tff(f88,plain,( 4.92/1.01 bCOMB @ (bCOMB @ mnot) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ mor @ mnot)) @ mnot) = mand), 4.92/1.01 inference(fool_elimination,[],[f87])). 4.92/1.01 tff(f89,plain,( 4.92/1.01 mor = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o', X2 : '$i'] : X1 @ X2 | X0 @ X2)), 4.92/1.01 inference(rectify,[],[f4])). 4.92/1.01 tff(f90,plain,( 4.92/1.01 bCOMB @ sCOMB @ (bCOMB @ vOR) = mor), 4.92/1.01 inference(fool_elimination,[],[f89])). 4.92/1.01 tff(f91,plain,( 4.92/1.01 mforall_ind = (^[X0 : mu -> '$i' -> '$o', X1 : '$i'] : ! [X2 : mu] : X0 @ X2 @ X1)), 4.92/1.01 inference(rectify,[],[f10])). 4.92/1.01 tff(f92,plain,( 4.92/1.01 bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB = mforall_ind), 4.92/1.01 inference(fool_elimination,[],[f91])). 4.92/1.01 tff(f93,plain,( 4.92/1.01 mvalid = (^[X0 : '$i' -> '$o'] : ! [X1] : X0 @ X1)), 4.92/1.01 inference(rectify,[],[f28])). 4.92/1.01 tff(f94,plain,( 4.92/1.01 mvalid = vPI('$i')), 4.92/1.01 inference(fool_elimination,[],[f93])). 4.92/1.01 tff(f95,plain,( 4.92/1.01 mforall_prop = (^[X0 : ('$i' -> '$o') -> '$i' -> '$o', X1 : '$i'] : ! [X2 : '$i' -> '$o'] : X0 @ X2 @ X1)), 4.92/1.01 inference(rectify,[],[f11])). 4.92/1.01 tff(f96,plain,( 4.92/1.01 bCOMB @ (bCOMB @ vPI('$i' -> '$o')) @ cCOMB = mforall_prop), 4.92/1.01 inference(fool_elimination,[],[f95])). 4.92/1.01 tff(f97,plain,( 4.92/1.01 mnot = (^[X0 : '$i' -> '$o', X1 : '$i'] : ~X0 @ X1)), 4.92/1.01 inference(rectify,[],[f3])). 4.92/1.01 tff(f98,plain,( 4.92/1.01 bCOMB @ vNOT = mnot), 4.92/1.01 inference(fool_elimination,[],[f97])). 4.92/1.01 tff(f99,plain,( 4.92/1.01 mimplies = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o'] : mor @ (mnot @ X0) @ X1)), 4.92/1.01 inference(rectify,[],[f6])). 4.92/1.01 tff(f100,plain,( 4.92/1.01 bCOMB @ mor @ mnot = mimplies), 4.92/1.01 inference(fool_elimination,[],[f99])). 4.92/1.01 tff(f101,plain,( 4.92/1.01 mbox = (^[X0 : '$i' -> '$i' -> '$o', X1 : '$i' -> '$o', X2 : '$i'] : ! [X3] : (X1 @ X3 | ~X0 @ X2 @ X3))), 4.92/1.01 inference(rectify,[],[f16])). 4.92/1.01 tff(f102,plain,( 4.92/1.01 bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) = mbox), 4.92/1.01 inference(fool_elimination,[],[f101])). 4.92/1.02 tff(f103,plain,( 4.92/1.02 mvalid @ (mdia @ a1 @ (s @ a))), 4.92/1.02 inference(rectify,[],[f41])). 4.92/1.02 tff(f104,plain,( 4.92/1.02 (mvalid @ (mdia @ a1 @ (s @ a)) = $true)), 4.92/1.02 inference(fool_elimination,[],[f103])). 4.92/1.02 tff(f105,plain,( 4.92/1.02 mvalid @ (mforall_ind @ (^[X0 : mu] : mbox @ a2 @ (mimplies @ (mdia @ a2 @ (q @ X0)) @ (p @ X0))))), 4.92/1.02 inference(rectify,[],[f33])). 4.92/1.02 tff(f106,plain,( 4.92/1.02 (mvalid @ (mforall_ind @ (bCOMB @ (mbox @ a2) @ (sCOMB @ (bCOMB @ mimplies @ (bCOMB @ (mdia @ a2) @ q)) @ p))) = $true)), 4.92/1.02 inference(fool_elimination,[],[f105])). 4.92/1.02 tff(f107,plain,( 4.92/1.02 mvalid @ (mforall_ind @ (^[X0 : mu] : mbox @ a1 @ (mimplies @ (s @ X0) @ (mbox @ a1 @ (r @ X0)))))), 4.92/1.02 inference(rectify,[],[f36])). 4.92/1.02 tff(f108,plain,( 4.92/1.02 (mvalid @ (mforall_ind @ (bCOMB @ (mbox @ a1) @ (sCOMB @ (bCOMB @ mimplies @ s) @ (bCOMB @ (mbox @ a1) @ r)))) = $true)), 4.92/1.02 inference(fool_elimination,[],[f107])). 4.92/1.02 tff(f109,plain,( 4.92/1.02 mvalid @ (mforall_ind @ (^[X0 : mu] : mbox @ a1 @ (mimplies @ (mand @ (r @ X0) @ (s @ X0)) @ (q @ X0))))), 4.92/1.02 inference(rectify,[],[f40])). 4.92/1.02 tff(f110,plain,( 4.92/1.02 (mvalid @ (mforall_ind @ (bCOMB @ (mbox @ a1) @ (sCOMB @ (bCOMB @ mimplies @ (sCOMB @ (bCOMB @ mand @ r) @ s)) @ q))) = $true)), 4.92/1.02 inference(fool_elimination,[],[f109])). 4.92/1.02 tff(f111,plain,( 4.92/1.02 mvalid @ (mforall_prop @ (^[X0 : '$i' -> '$o'] : mimplies @ (mbox @ a2 @ X0) @ (mbox @ a1 @ X0)))), 4.92/1.02 inference(rectify,[],[f39])). 4.92/1.02 tff(f112,plain,( 4.92/1.02 (mvalid @ (mforall_prop @ (sCOMB @ (bCOMB @ mimplies @ (mbox @ a2)) @ (mbox @ a1))) = $true)), 4.92/1.02 inference(fool_elimination,[],[f111])). 4.92/1.02 tff(f119,plain,( 4.92/1.02 mvalid @ (mforall_prop @ (^[X0 : '$i' -> '$o'] : mimplies @ (mbox @ a1 @ X0) @ (mbox @ a1 @ (mbox @ a1 @ X0))))), 4.92/1.02 inference(rectify,[],[f42])). 4.92/1.02 tff(f120,plain,( 4.92/1.02 (mvalid @ (mforall_prop @ (sCOMB @ (bCOMB @ mimplies @ (mbox @ a1)) @ (bCOMB @ (mbox @ a1) @ (mbox @ a1)))) = $true)), 4.92/1.02 inference(fool_elimination,[],[f119])). 4.92/1.02 tff(f121,plain,( 4.92/1.02 (mvalid @ (mexists_ind @ (bCOMB @ (mbox @ a1) @ p)) != $true)), 4.92/1.02 inference(flattening,[],[f44])). 4.92/1.02 tff(f122,plain,( 4.92/1.02 (mvalid @ (mexists_ind @ (bCOMB @ (mbox @ a1) @ p)) != $true)), 4.92/1.02 inference(cnf_transformation,[],[f121])). 4.92/1.02 tff(f144,plain,( 4.92/1.02 bCOMB @ mnot @ (bCOMB @ mforall_ind @ (bCOMB @ mnot)) = mexists_ind), 4.92/1.02 inference(cnf_transformation,[],[f84])). 4.92/1.02 tff(f145,plain,( 4.92/1.02 bCOMB @ (bCOMB @ mnot) @ (cCOMB @ (bCOMB @ bCOMB @ mbox) @ mnot) = mdia), 4.92/1.02 inference(cnf_transformation,[],[f86])). 4.92/1.02 tff(f146,plain,( 4.92/1.02 bCOMB @ (bCOMB @ mnot) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ mor @ mnot)) @ mnot) = mand), 4.92/1.02 inference(cnf_transformation,[],[f88])). 4.92/1.02 tff(f147,plain,( 4.92/1.02 bCOMB @ sCOMB @ (bCOMB @ vOR) = mor), 4.92/1.02 inference(cnf_transformation,[],[f90])). 4.92/1.02 tff(f148,plain,( 4.92/1.02 bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB = mforall_ind), 4.92/1.02 inference(cnf_transformation,[],[f92])). 4.92/1.02 tff(f149,plain,( 4.92/1.02 mvalid = vPI('$i')), 4.92/1.02 inference(cnf_transformation,[],[f94])). 4.92/1.02 tff(f150,plain,( 4.92/1.02 bCOMB @ (bCOMB @ vPI('$i' -> '$o')) @ cCOMB = mforall_prop), 4.92/1.02 inference(cnf_transformation,[],[f96])). 4.92/1.02 tff(f151,plain,( 4.92/1.02 bCOMB @ vNOT = mnot), 4.92/1.02 inference(cnf_transformation,[],[f98])). 4.92/1.02 tff(f152,plain,( 4.92/1.02 bCOMB @ mor @ mnot = mimplies), 4.92/1.02 inference(cnf_transformation,[],[f100])). 4.92/1.02 tff(f153,plain,( 4.92/1.02 bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) = mbox), 4.92/1.02 inference(cnf_transformation,[],[f102])). 4.92/1.02 tff(f154,plain,( 4.92/1.02 (mvalid @ (mdia @ a1 @ (s @ a)) = $true)), 4.92/1.02 inference(cnf_transformation,[],[f104])). 4.92/1.02 tff(f155,plain,( 4.92/1.02 (mvalid @ (mforall_ind @ (bCOMB @ (mbox @ a2) @ (sCOMB @ (bCOMB @ mimplies @ (bCOMB @ (mdia @ a2) @ q)) @ p))) = $true)), 4.92/1.02 inference(cnf_transformation,[],[f106])). 4.92/1.02 tff(f156,plain,( 4.92/1.02 (mvalid @ (mforall_ind @ (bCOMB @ (mbox @ a1) @ (sCOMB @ (bCOMB @ mimplies @ s) @ (bCOMB @ (mbox @ a1) @ r)))) = $true)), 4.92/1.02 inference(cnf_transformation,[],[f108])). 4.92/1.02 tff(f157,plain,( 4.92/1.02 (mvalid @ (mforall_ind @ (bCOMB @ (mbox @ a1) @ (sCOMB @ (bCOMB @ mimplies @ (sCOMB @ (bCOMB @ mand @ r) @ s)) @ q))) = $true)), 4.92/1.02 inference(cnf_transformation,[],[f110])). 4.92/1.02 tff(f158,plain,( 4.92/1.02 (mvalid @ (mforall_prop @ (sCOMB @ (bCOMB @ mimplies @ (mbox @ a2)) @ (mbox @ a1))) = $true)), 4.92/1.02 inference(cnf_transformation,[],[f112])). 4.92/1.02 tff(f162,plain,( 4.92/1.02 (mvalid @ (mforall_prop @ (sCOMB @ (bCOMB @ mimplies @ (mbox @ a1)) @ (bCOMB @ (mbox @ a1) @ (mbox @ a1)))) = $true)), 4.92/1.02 inference(cnf_transformation,[],[f120])). 4.92/1.02 tff(f163,plain,( 4.92/1.02 bCOMB @ (bCOMB @ (bCOMB @ vNOT)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT))) @ (bCOMB @ vNOT)) = mand), 4.92/1.02 inference(definition_unfolding,[],[f146,f151,f147,f151,f151])). 4.92/1.02 tff(f164,plain,( 4.92/1.02 bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT) = mimplies), 4.92/1.02 inference(definition_unfolding,[],[f152,f147,f151])). 4.92/1.02 tff(f168,plain,( 4.92/1.02 bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB) @ (bCOMB @ (bCOMB @ vNOT))) = mexists_ind), 4.92/1.02 inference(definition_unfolding,[],[f144,f151,f148,f151])). 4.92/1.02 tff(f171,plain,( 4.92/1.02 bCOMB @ (bCOMB @ (bCOMB @ vNOT)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))))) @ (bCOMB @ vNOT)) = mdia), 4.92/1.02 inference(definition_unfolding,[],[f145,f151,f153,f151])). 4.92/1.02 tff(f172,plain,( 4.92/1.02 (vPI('$i') @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB) @ (bCOMB @ (bCOMB @ vNOT))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a1) @ p)) != $true)), 4.92/1.02 inference(definition_unfolding,[],[f122,f149,f168,f153])). 4.92/1.02 tff(f173,plain,( 4.92/1.02 (vPI('$i') @ (bCOMB @ (bCOMB @ (bCOMB @ vNOT)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))))) @ (bCOMB @ vNOT)) @ a1 @ (s @ a)) = $true)), 4.92/1.02 inference(definition_unfolding,[],[f154,f149,f171])). 4.92/1.02 % (29546)Refutation not found, incomplete strategy 4.92/1.02 % (29546)------------------------------ 4.92/1.02 % (29546)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.92/1.04 % (29546)Termination reason: Refutation not found, incomplete strategy 4.92/1.04 4.92/1.04 % (29546)Memory used [KB]: 10490 4.92/1.04 % (29546)Time elapsed: 0.181 s 4.92/1.04 % (29546)------------------------------ 4.92/1.04 % (29546)------------------------------ 4.92/1.04 % (29553)dis+10_1_add=off:afp=4000:csup=on:inj=on:chr=on:e2e=on:foolp=on:cnfonf=eager:afq=1.2:anc=none:br=off:cond=on:gs=on:irw=on:lcm=reverse:nwc=10:sd=10:ss=axioms:sos=theory:sac=on:sp=occurrence:urr=on_12 on theBenchmark 4.92/1.04 tff(f174,plain,( 4.92/1.04 (vPI('$i') @ (bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a2) @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vNOT)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))))) @ (bCOMB @ vNOT)) @ a2) @ q)) @ p))) = $true)), 4.92/1.04 inference(definition_unfolding,[],[f155,f149,f148,f153,f164,f171])). 4.92/1.04 tff(f175,plain,( 4.92/1.04 (vPI('$i') @ (bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a1) @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ s) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a1) @ r)))) = $true)), 4.92/1.04 inference(definition_unfolding,[],[f156,f149,f148,f153,f164,f153])). 4.92/1.04 tff(f176,plain,( 4.92/1.04 (vPI('$i') @ (bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a1) @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vNOT)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT))) @ (bCOMB @ vNOT))) @ r) @ s)) @ q))) = $true)), 4.92/1.04 inference(definition_unfolding,[],[f157,f149,f148,f153,f164,f163])). 4.92/1.04 tff(f177,plain,( 4.92/1.04 (vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i' -> '$o')) @ cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a2)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a1))) = $true)), 4.92/1.04 inference(definition_unfolding,[],[f158,f149,f150,f164,f153,f153])). 4.92/1.04 tff(f181,plain,( 4.92/1.04 (vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i' -> '$o')) @ cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a1)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a1) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a1)))) = $true)), 4.92/1.04 inference(definition_unfolding,[],[f162,f149,f150,f164,f153,f153,f153])). 4.92/1.04 tff(f182,plain,( 4.92/1.04 ( ! [X1] : ((bCOMB @ (bCOMB @ vPI('$i' -> '$o')) @ cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a1)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a1) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a1))) @ X1 = $true)) )), 4.92/1.04 inference(pi_clausification,[],[f181])). 4.92/1.04 tff(f183,plain,( 4.92/1.04 ( ! [X1] : ((vPI('$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ a1)))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ a1))))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ a1))))))) @ X1) = $true)) )), 4.92/1.04 inference(combinator_demodulation,[],[f182])). 4.92/1.04 tff(f184,plain,( 4.92/1.04 ( ! [X2:'$i' -> '$o',X1] : ((cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ a1)))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ a1))))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ a1))))))) @ X1 @ X2 = $true)) )), 4.92/1.04 inference(pi_clausification,[],[f183])). 4.92/1.04 tff(f185,plain,( 4.92/1.04 ( ! [X2:'$i' -> '$o',X1] : ((vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ X1))) @ X2))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ X1))) @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ a1))) @ X2)))) = $true)) )), 4.92/1.04 inference(combinator_demodulation,[],[f184])). 4.92/1.04 tff(f186,plain,( 4.92/1.04 ( ! [X2:'$i' -> '$o',X1] : ((vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ X1))) @ X2)) = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ X1))) @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ a1))) @ X2))) = $true)) )), 4.92/1.04 inference(binary_proxy_clausification,[],[f185])). 4.92/1.04 tff(f187,plain,( 4.92/1.04 ( ! [X2:'$i' -> '$o',X3,X1] : ((vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ X1))) @ X2)) = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ X1))) @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ a1))) @ X2)) @ X3 = $true)) )), 4.92/1.04 inference(pi_clausification,[],[f186])). 4.92/1.04 tff(f188,plain,( 4.92/1.04 ( ! [X2:'$i' -> '$o',X3,X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ X1))) @ X2) = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ X1))) @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ a1))) @ X2)) @ X3 = $true)) )), 4.92/1.04 inference(not_proxy_clausification,[],[f187])). 4.92/1.04 tff(f189,plain,( 4.92/1.04 ( ! [X2:'$i' -> '$o',X3,X1] : ((sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ X1))) @ X2 @ (sK1 @ X2 @ X1) = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ X1))) @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ a1))) @ X2)) @ X3 = $true)) )), 4.92/1.04 inference(sigma_clausification,[],[f188])). 4.92/1.04 tff(f190,plain,( 4.92/1.04 ( ! [X2:'$i' -> '$o',X3,X1] : ((vOR @ (vNOT @ (a1 @ X1 @ (sK1 @ X2 @ X1))) @ (X2 @ (sK1 @ X2 @ X1)) = $false) | (vOR @ (vNOT @ (a1 @ X1 @ X3)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ X3))) @ X2)) = $true)) )), 4.92/1.04 inference(combinator_demodulation,[],[f189])). 4.92/1.04 tff(f191,plain,( 4.92/1.04 ( ! [X2:'$i' -> '$o',X3,X1] : ((vOR @ (vNOT @ (a1 @ X1 @ (sK1 @ X2 @ X1))) @ (X2 @ (sK1 @ X2 @ X1)) = $false) | (vNOT @ (a1 @ X1 @ X3) = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ X3))) @ X2) = $true)) )), 4.92/1.04 inference(binary_proxy_clausification,[],[f190])). 4.92/1.04 tff(f192,plain,( 4.92/1.04 ( ! [X4,X2:'$i' -> '$o',X3,X1] : ((vOR @ (vNOT @ (a1 @ X1 @ (sK1 @ X2 @ X1))) @ (X2 @ (sK1 @ X2 @ X1)) = $false) | (vNOT @ (a1 @ X1 @ X3) = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ X3))) @ X2 @ X4 = $true)) )), 4.92/1.04 inference(pi_clausification,[],[f191])). 4.92/1.04 tff(f193,plain,( 4.92/1.04 ( ! [X4,X2:'$i' -> '$o',X3,X1] : ((vOR @ (vNOT @ (a1 @ X1 @ (sK1 @ X2 @ X1))) @ (X2 @ (sK1 @ X2 @ X1)) = $false) | (a1 @ X1 @ X3 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ X3))) @ X2 @ X4 = $true)) )), 4.92/1.04 inference(not_proxy_clausification,[],[f192])). 4.92/1.04 tff(f194,plain,( 4.92/1.04 ( ! [X4,X2:'$i' -> '$o',X3,X1] : ((vOR @ (vNOT @ (a1 @ X1 @ (sK1 @ X2 @ X1))) @ (X2 @ (sK1 @ X2 @ X1)) = $false) | (a1 @ X1 @ X3 = $false) | (vOR @ (vNOT @ (a1 @ X3 @ X4)) @ (X2 @ X4) = $true)) )), 4.92/1.04 inference(combinator_demodulation,[],[f193])). 4.92/1.04 tff(f195,plain,( 4.92/1.04 ( ! [X4,X2:'$i' -> '$o',X3,X1] : ((vOR @ (vNOT @ (a1 @ X1 @ (sK1 @ X2 @ X1))) @ (X2 @ (sK1 @ X2 @ X1)) = $false) | (a1 @ X1 @ X3 = $false) | (vNOT @ (a1 @ X3 @ X4) = $true) | (X2 @ X4 = $true)) )), 4.92/1.04 inference(binary_proxy_clausification,[],[f194])). 4.92/1.04 tff(f196,plain,( 4.92/1.04 ( ! [X4,X2:'$i' -> '$o',X3,X1] : ((vOR @ (vNOT @ (a1 @ X1 @ (sK1 @ X2 @ X1))) @ (X2 @ (sK1 @ X2 @ X1)) = $false) | (a1 @ X1 @ X3 = $false) | (a1 @ X3 @ X4 = $false) | (X2 @ X4 = $true)) )), 4.92/1.04 inference(not_proxy_clausification,[],[f195])). 4.92/1.04 tff(f197,plain,( 4.92/1.04 ( ! [X4,X2:'$i' -> '$o',X3,X1] : ((vNOT @ (a1 @ X1 @ (sK1 @ X2 @ X1)) = $false) | (a1 @ X1 @ X3 = $false) | (a1 @ X3 @ X4 = $false) | (X2 @ X4 = $true)) )), 4.92/1.04 inference(binary_proxy_clausification,[],[f196])). 4.92/1.04 tff(f198,plain,( 4.92/1.04 ( ! [X4,X2:'$i' -> '$o',X3,X1] : ((X2 @ (sK1 @ X2 @ X1) = $false) | (a1 @ X1 @ X3 = $false) | (a1 @ X3 @ X4 = $false) | (X2 @ X4 = $true)) )), 4.92/1.04 inference(binary_proxy_clausification,[],[f196])). 4.92/1.04 tff(f199,plain,( 4.92/1.04 ( ! [X4,X2:'$i' -> '$o',X3,X1] : ((a1 @ X1 @ (sK1 @ X2 @ X1) = $true) | (a1 @ X1 @ X3 = $false) | (a1 @ X3 @ X4 = $false) | (X2 @ X4 = $true)) )), 4.92/1.04 inference(not_proxy_clausification,[],[f197])). 4.92/1.04 tff(f254,plain,( 4.92/1.04 ( ! [X1] : ((bCOMB @ (bCOMB @ vPI('$i' -> '$o')) @ cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a2)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a1)) @ X1 = $true)) )), 4.92/1.04 inference(pi_clausification,[],[f177])). 4.92/1.04 tff(f255,plain,( 4.92/1.04 ( ! [X1] : ((vPI('$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ a2)))))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ a1)))))) @ X1) = $true)) )), 4.92/1.04 inference(combinator_demodulation,[],[f254])). 4.92/1.04 tff(f256,plain,( 4.92/1.04 ( ! [X2:'$i' -> '$o',X1] : ((cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ a2)))))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ a1)))))) @ X1 @ X2 = $true)) )), 4.92/1.04 inference(pi_clausification,[],[f255])). 4.92/1.04 tff(f257,plain,( 4.92/1.04 ( ! [X2:'$i' -> '$o',X1] : ((vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a2 @ X1))) @ X2))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ X1))) @ X2)) = $true)) )), 4.92/1.04 inference(combinator_demodulation,[],[f256])). 4.92/1.04 tff(f258,plain,( 4.92/1.04 ( ! [X2:'$i' -> '$o',X1] : ((vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a2 @ X1))) @ X2)) = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ X1))) @ X2) = $true)) )), 4.92/1.04 inference(binary_proxy_clausification,[],[f257])). 4.92/1.04 tff(f259,plain,( 4.92/1.04 ( ! [X2:'$i' -> '$o',X3,X1] : ((vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a2 @ X1))) @ X2)) = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ X1))) @ X2 @ X3 = $true)) )), 4.92/1.04 inference(pi_clausification,[],[f258])). 4.92/1.04 tff(f260,plain,( 4.92/1.04 ( ! [X2:'$i' -> '$o',X3,X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a2 @ X1))) @ X2) = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ X1))) @ X2 @ X3 = $true)) )), 4.92/1.04 inference(not_proxy_clausification,[],[f259])). 4.92/1.04 tff(f261,plain,( 4.92/1.04 ( ! [X2:'$i' -> '$o',X3,X1] : ((sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a2 @ X1))) @ X2 @ (sK5 @ X2 @ X1) = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ X1))) @ X2 @ X3 = $true)) )), 4.92/1.04 inference(sigma_clausification,[],[f260])). 4.92/1.04 tff(f262,plain,( 4.92/1.04 ( ! [X2:'$i' -> '$o',X3,X1] : ((vOR @ (vNOT @ (a2 @ X1 @ (sK5 @ X2 @ X1))) @ (X2 @ (sK5 @ X2 @ X1)) = $false) | (vOR @ (vNOT @ (a1 @ X1 @ X3)) @ (X2 @ X3) = $true)) )), 4.92/1.04 inference(combinator_demodulation,[],[f261])). 4.92/1.04 tff(f263,plain,( 4.92/1.04 ( ! [X2:'$i' -> '$o',X3,X1] : ((vOR @ (vNOT @ (a2 @ X1 @ (sK5 @ X2 @ X1))) @ (X2 @ (sK5 @ X2 @ X1)) = $false) | (vNOT @ (a1 @ X1 @ X3) = $true) | (X2 @ X3 = $true)) )), 4.92/1.04 inference(binary_proxy_clausification,[],[f262])). 4.92/1.04 tff(f264,plain,( 4.92/1.04 ( ! [X2:'$i' -> '$o',X3,X1] : ((vOR @ (vNOT @ (a2 @ X1 @ (sK5 @ X2 @ X1))) @ (X2 @ (sK5 @ X2 @ X1)) = $false) | (a1 @ X1 @ X3 = $false) | (X2 @ X3 = $true)) )), 4.92/1.04 inference(not_proxy_clausification,[],[f263])). 4.92/1.04 tff(f265,plain,( 4.92/1.04 ( ! [X2:'$i' -> '$o',X3,X1] : ((vNOT @ (a2 @ X1 @ (sK5 @ X2 @ X1)) = $false) | (a1 @ X1 @ X3 = $false) | (X2 @ X3 = $true)) )), 4.92/1.04 inference(binary_proxy_clausification,[],[f264])). 4.92/1.04 tff(f266,plain,( 4.92/1.04 ( ! [X2:'$i' -> '$o',X3,X1] : ((X2 @ (sK5 @ X2 @ X1) = $false) | (a1 @ X1 @ X3 = $false) | (X2 @ X3 = $true)) )), 4.92/1.04 inference(binary_proxy_clausification,[],[f264])). 4.92/1.04 tff(f267,plain,( 4.92/1.04 ( ! [X2:'$i' -> '$o',X3,X1] : ((a2 @ X1 @ (sK5 @ X2 @ X1) = $true) | (a1 @ X1 @ X3 = $false) | (X2 @ X3 = $true)) )), 4.92/1.04 inference(not_proxy_clausification,[],[f265])). 4.92/1.04 tff(f268,plain,( 4.92/1.04 ( ! [X1] : ((bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a1) @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vNOT)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT))) @ (bCOMB @ vNOT))) @ r) @ s)) @ q)) @ X1 = $true)) )), 4.92/1.04 inference(pi_clausification,[],[f176])). 4.92/1.04 tff(f269,plain,( 4.92/1.04 ( ! [X1] : ((vPI(mu) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ a1))))) @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vNOT)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT))) @ (bCOMB @ vNOT))) @ r) @ s)) @ q)) @ X1) = $true)) )), 4.92/1.04 inference(combinator_demodulation,[],[f268])). 4.92/1.04 tff(f270,plain,( 4.92/1.04 ( ! [X2:mu,X1] : ((cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ a1))))) @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vNOT)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT))) @ (bCOMB @ vNOT))) @ r) @ s)) @ q)) @ X1 @ X2 = $true)) )), 4.92/1.04 inference(pi_clausification,[],[f269])). 4.92/1.04 tff(f271,plain,( 4.92/1.04 ( ! [X2:mu,X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ X1))) @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (r @ X2))) @ (bCOMB @ vNOT @ (s @ X2)))))) @ (q @ X2))) = $true)) )), 4.92/1.04 inference(combinator_demodulation,[],[f270])). 4.92/1.04 tff(f272,plain,( 4.92/1.04 ( ! [X2:mu,X3,X1] : ((sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ X1))) @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (r @ X2))) @ (bCOMB @ vNOT @ (s @ X2)))))) @ (q @ X2)) @ X3 = $true)) )), 4.92/1.04 inference(pi_clausification,[],[f271])). 4.92/1.04 tff(f273,plain,( 4.92/1.04 ( ! [X2:mu,X3,X1] : ((vOR @ (vNOT @ (a1 @ X1 @ X3)) @ (vOR @ (vNOT @ (vNOT @ (vOR @ (vNOT @ (r @ X2 @ X3)) @ (vNOT @ (s @ X2 @ X3))))) @ (q @ X2 @ X3)) = $true)) )), 4.92/1.04 inference(combinator_demodulation,[],[f272])). 4.92/1.04 tff(f274,plain,( 4.92/1.04 ( ! [X2:mu,X3,X1] : ((vOR @ (vNOT @ (a1 @ X1 @ X3)) @ (vOR @ (vOR @ (vNOT @ (r @ X2 @ X3)) @ (vNOT @ (s @ X2 @ X3))) @ (q @ X2 @ X3)) = $true)) )), 4.92/1.04 inference(boolean_simplification,[],[f273])). 4.92/1.04 tff(f275,plain,( 4.92/1.04 ( ! [X2:mu,X3,X1] : ((vNOT @ (a1 @ X1 @ X3) = $true) | (vOR @ (vOR @ (vNOT @ (r @ X2 @ X3)) @ (vNOT @ (s @ X2 @ X3))) @ (q @ X2 @ X3) = $true)) )), 4.92/1.04 inference(binary_proxy_clausification,[],[f274])). 4.92/1.04 tff(f276,plain,( 4.92/1.04 ( ! [X2:mu,X3,X1] : ((a1 @ X1 @ X3 = $false) | (vOR @ (vOR @ (vNOT @ (r @ X2 @ X3)) @ (vNOT @ (s @ X2 @ X3))) @ (q @ X2 @ X3) = $true)) )), 4.92/1.04 inference(not_proxy_clausification,[],[f275])). 4.92/1.04 tff(f277,plain,( 4.92/1.04 ( ! [X2:mu,X3,X1] : ((a1 @ X1 @ X3 = $false) | (vOR @ (vNOT @ (r @ X2 @ X3)) @ (vNOT @ (s @ X2 @ X3)) = $true) | (q @ X2 @ X3 = $true)) )), 4.92/1.04 inference(binary_proxy_clausification,[],[f276])). 4.92/1.04 tff(f278,plain,( 4.92/1.04 ( ! [X2:mu,X3,X1] : ((a1 @ X1 @ X3 = $false) | (vNOT @ (r @ X2 @ X3) = $true) | (q @ X2 @ X3 = $true) | (vNOT @ (s @ X2 @ X3) = $true)) )), 4.92/1.04 inference(binary_proxy_clausification,[],[f277])). 4.92/1.04 tff(f279,plain,( 4.92/1.04 ( ! [X2:mu,X3,X1] : ((a1 @ X1 @ X3 = $false) | (vNOT @ (r @ X2 @ X3) = $true) | (q @ X2 @ X3 = $true) | (s @ X2 @ X3 = $false)) )), 4.92/1.04 inference(not_proxy_clausification,[],[f278])). 4.92/1.04 tff(f280,plain,( 4.92/1.04 ( ! [X2:mu,X3,X1] : ((a1 @ X1 @ X3 = $false) | (r @ X2 @ X3 = $false) | (q @ X2 @ X3 = $true) | (s @ X2 @ X3 = $false)) )), 4.92/1.04 inference(not_proxy_clausification,[],[f279])). 4.92/1.04 tff(f281,plain,( 4.92/1.04 ( ! [X1] : ((bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a1) @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ s) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a1) @ r))) @ X1 = $true)) )), 4.92/1.04 inference(pi_clausification,[],[f175])). 4.92/1.05 tff(f282,plain,( 4.92/1.05 ( ! [X1] : ((vPI(mu) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ a1))))) @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ s) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ a1))))) @ r))) @ X1) = $true)) )), 4.92/1.05 inference(combinator_demodulation,[],[f281])). 4.92/1.05 tff(f283,plain,( 4.92/1.05 ( ! [X2:mu,X1] : ((cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ a1))))) @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ s) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ a1))))) @ r))) @ X1 @ X2 = $true)) )), 4.92/1.05 inference(pi_clausification,[],[f282])). 4.92/1.05 % (29552)lrs+10_3:1_av=off:bsr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:cond=on:er=known:gs=on:lcm=reverse:nm=32:nwc=4:stl=30:sp=occurrence:urr=on:updr=off_73 on theBenchmark 4.92/1.08 tff(f284,plain,( 4.92/1.08 ( ! [X2:mu,X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ X1))) @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (s @ X2))) @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ a1))) @ (r @ X2))))) = $true)) )), 4.92/1.08 inference(combinator_demodulation,[],[f283])). 4.92/1.08 tff(f285,plain,( 4.92/1.08 ( ! [X2:mu,X3,X1] : ((sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ X1))) @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (s @ X2))) @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ a1))) @ (r @ X2)))) @ X3 = $true)) )), 4.92/1.08 inference(pi_clausification,[],[f284])). 4.92/1.08 tff(f286,plain,( 4.92/1.08 ( ! [X2:mu,X3,X1] : ((vOR @ (vNOT @ (a1 @ X1 @ X3)) @ (vOR @ (vNOT @ (s @ X2 @ X3)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ X3))) @ (r @ X2)))) = $true)) )), 4.92/1.08 inference(combinator_demodulation,[],[f285])). 4.92/1.08 tff(f287,plain,( 4.92/1.08 ( ! [X2:mu,X3,X1] : ((vNOT @ (a1 @ X1 @ X3) = $true) | (vOR @ (vNOT @ (s @ X2 @ X3)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ X3))) @ (r @ X2))) = $true)) )), 4.92/1.08 inference(binary_proxy_clausification,[],[f286])). 4.92/1.08 tff(f288,plain,( 4.92/1.08 ( ! [X2:mu,X3,X1] : ((a1 @ X1 @ X3 = $false) | (vOR @ (vNOT @ (s @ X2 @ X3)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ X3))) @ (r @ X2))) = $true)) )), 4.92/1.08 inference(not_proxy_clausification,[],[f287])). 4.92/1.08 tff(f289,plain,( 4.92/1.08 ( ! [X2:mu,X3,X1] : ((a1 @ X1 @ X3 = $false) | (vNOT @ (s @ X2 @ X3) = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ X3))) @ (r @ X2)) = $true)) )), 4.92/1.08 inference(binary_proxy_clausification,[],[f288])). 4.92/1.08 tff(f290,plain,( 4.92/1.08 ( ! [X4,X2:mu,X3,X1] : ((a1 @ X1 @ X3 = $false) | (vNOT @ (s @ X2 @ X3) = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ X3))) @ (r @ X2) @ X4 = $true)) )), 4.92/1.08 inference(pi_clausification,[],[f289])). 4.92/1.08 tff(f291,plain,( 4.92/1.08 ( ! [X4,X2:mu,X3,X1] : ((a1 @ X1 @ X3 = $false) | (s @ X2 @ X3 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ X3))) @ (r @ X2) @ X4 = $true)) )), 4.92/1.08 inference(not_proxy_clausification,[],[f290])). 4.92/1.08 tff(f292,plain,( 4.92/1.08 ( ! [X4,X2:mu,X3,X1] : ((a1 @ X1 @ X3 = $false) | (s @ X2 @ X3 = $false) | (vOR @ (vNOT @ (a1 @ X3 @ X4)) @ (r @ X2 @ X4) = $true)) )), 4.92/1.08 inference(combinator_demodulation,[],[f291])). 4.92/1.08 tff(f293,plain,( 4.92/1.08 ( ! [X4,X2:mu,X3,X1] : ((a1 @ X1 @ X3 = $false) | (s @ X2 @ X3 = $false) | (vNOT @ (a1 @ X3 @ X4) = $true) | (r @ X2 @ X4 = $true)) )), 4.92/1.08 inference(binary_proxy_clausification,[],[f292])). 4.92/1.08 tff(f294,plain,( 4.92/1.08 ( ! [X4,X2:mu,X3,X1] : ((a1 @ X3 @ X4 = $false) | (s @ X2 @ X3 = $false) | (a1 @ X1 @ X3 = $false) | (r @ X2 @ X4 = $true)) )), 4.92/1.08 inference(not_proxy_clausification,[],[f293])). 4.92/1.08 tff(f295,plain,( 4.92/1.08 ( ! [X1] : ((bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a2) @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vNOT)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))))) @ (bCOMB @ vNOT)) @ a2) @ q)) @ p)) @ X1 = $true)) )), 4.92/1.08 inference(pi_clausification,[],[f174])). 4.92/1.08 tff(f296,plain,( 4.92/1.08 ( ! [X1] : ((vPI(mu) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ a2))))) @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ a2))))) @ (bCOMB @ vNOT))) @ q)) @ p)) @ X1) = $true)) )), 4.92/1.08 inference(combinator_demodulation,[],[f295])). 4.92/1.08 tff(f297,plain,( 4.92/1.08 ( ! [X2:mu,X1] : ((cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ a2))))) @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ a2))))) @ (bCOMB @ vNOT))) @ q)) @ p)) @ X1 @ X2 = $true)) )), 4.92/1.08 inference(pi_clausification,[],[f296])). 4.92/1.08 tff(f298,plain,( 4.92/1.08 ( ! [X2:mu,X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a2 @ X1))) @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ a2))) @ (bCOMB @ vNOT @ (q @ X2))))))) @ (p @ X2))) = $true)) )), 4.92/1.08 inference(combinator_demodulation,[],[f297])). 4.92/1.08 tff(f299,plain,( 4.92/1.08 ( ! [X2:mu,X3,X1] : ((sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a2 @ X1))) @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ a2))) @ (bCOMB @ vNOT @ (q @ X2))))))) @ (p @ X2)) @ X3 = $true)) )), 4.92/1.08 inference(pi_clausification,[],[f298])). 4.92/1.08 tff(f300,plain,( 4.92/1.08 ( ! [X2:mu,X3,X1] : ((vOR @ (vNOT @ (a2 @ X1 @ X3)) @ (vOR @ (vNOT @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a2 @ X3))) @ (bCOMB @ vNOT @ (q @ X2)))))) @ (p @ X2 @ X3)) = $true)) )), 4.92/1.08 inference(combinator_demodulation,[],[f299])). 4.92/1.08 tff(f301,plain,( 4.92/1.08 ( ! [X2:mu,X3,X1] : ((vOR @ (vNOT @ (a2 @ X1 @ X3)) @ (vOR @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a2 @ X3))) @ (bCOMB @ vNOT @ (q @ X2)))) @ (p @ X2 @ X3)) = $true)) )), 4.92/1.08 inference(boolean_simplification,[],[f300])). 4.92/1.08 tff(f302,plain,( 4.92/1.08 ( ! [X2:mu,X3,X1] : ((vNOT @ (a2 @ X1 @ X3) = $true) | (vOR @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a2 @ X3))) @ (bCOMB @ vNOT @ (q @ X2)))) @ (p @ X2 @ X3) = $true)) )), 4.92/1.08 inference(binary_proxy_clausification,[],[f301])). 4.92/1.08 tff(f303,plain,( 4.92/1.08 ( ! [X2:mu,X3,X1] : ((a2 @ X1 @ X3 = $false) | (vOR @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a2 @ X3))) @ (bCOMB @ vNOT @ (q @ X2)))) @ (p @ X2 @ X3) = $true)) )), 4.92/1.08 inference(not_proxy_clausification,[],[f302])). 4.92/1.08 tff(f304,plain,( 4.92/1.08 ( ! [X2:mu,X3,X1] : ((a2 @ X1 @ X3 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a2 @ X3))) @ (bCOMB @ vNOT @ (q @ X2))) = $true) | (p @ X2 @ X3 = $true)) )), 4.92/1.08 inference(binary_proxy_clausification,[],[f303])). 4.92/1.08 tff(f305,plain,( 4.92/1.08 ( ! [X4,X2:mu,X3,X1] : ((a2 @ X1 @ X3 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a2 @ X3))) @ (bCOMB @ vNOT @ (q @ X2)) @ X4 = $true) | (p @ X2 @ X3 = $true)) )), 4.92/1.08 inference(pi_clausification,[],[f304])). 4.92/1.08 tff(f306,plain,( 4.92/1.08 ( ! [X4,X2:mu,X3,X1] : ((a2 @ X1 @ X3 = $false) | (vOR @ (vNOT @ (a2 @ X3 @ X4)) @ (vNOT @ (q @ X2 @ X4)) = $true) | (p @ X2 @ X3 = $true)) )), 4.92/1.08 inference(combinator_demodulation,[],[f305])). 4.92/1.08 tff(f307,plain,( 4.92/1.08 ( ! [X4,X2:mu,X3,X1] : ((a2 @ X1 @ X3 = $false) | (vNOT @ (a2 @ X3 @ X4) = $true) | (p @ X2 @ X3 = $true) | (vNOT @ (q @ X2 @ X4) = $true)) )), 4.92/1.08 inference(binary_proxy_clausification,[],[f306])). 4.92/1.08 tff(f308,plain,( 4.92/1.08 ( ! [X4,X2:mu,X3,X1] : ((a2 @ X1 @ X3 = $false) | (vNOT @ (a2 @ X3 @ X4) = $true) | (p @ X2 @ X3 = $true) | (q @ X2 @ X4 = $false)) )), 4.92/1.08 inference(not_proxy_clausification,[],[f307])). 4.92/1.08 tff(f309,plain,( 4.92/1.08 ( ! [X4,X2:mu,X3,X1] : ((a2 @ X3 @ X4 = $false) | (a2 @ X1 @ X3 = $false) | (p @ X2 @ X3 = $true) | (q @ X2 @ X4 = $false)) )), 4.92/1.08 inference(not_proxy_clausification,[],[f308])). 4.92/1.08 tff(f310,plain,( 4.92/1.08 ( ! [X1] : ((bCOMB @ (bCOMB @ (bCOMB @ vNOT)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))))) @ (bCOMB @ vNOT)) @ a1 @ (s @ a) @ X1 = $true)) )), 4.92/1.08 inference(pi_clausification,[],[f173])). 4.92/1.08 tff(f311,plain,( 4.92/1.08 ( ! [X1] : ((vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ X1))) @ (bCOMB @ vNOT @ (s @ a)))) = $true)) )), 4.92/1.08 inference(combinator_demodulation,[],[f310])). 4.92/1.08 tff(f312,plain,( 4.92/1.08 ( ! [X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ X1))) @ (bCOMB @ vNOT @ (s @ a))) = $false)) )), 4.92/1.08 inference(not_proxy_clausification,[],[f311])). 4.92/1.08 tff(f313,plain,( 4.92/1.08 ( ! [X1] : ((sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ X1))) @ (bCOMB @ vNOT @ (s @ a)) @ (sK6 @ X1) = $false)) )), 4.92/1.08 inference(sigma_clausification,[],[f312])). 4.92/1.08 tff(f314,plain,( 4.92/1.08 ( ! [X1] : ((vOR @ (vNOT @ (a1 @ X1 @ (sK6 @ X1))) @ (vNOT @ (s @ a @ (sK6 @ X1))) = $false)) )), 4.92/1.08 inference(combinator_demodulation,[],[f313])). 4.92/1.08 tff(f315,plain,( 4.92/1.08 ( ! [X1] : ((vNOT @ (a1 @ X1 @ (sK6 @ X1)) = $false)) )), 4.92/1.08 inference(binary_proxy_clausification,[],[f314])). 4.92/1.08 tff(f316,plain,( 4.92/1.08 ( ! [X1] : ((vNOT @ (s @ a @ (sK6 @ X1)) = $false)) )), 4.92/1.08 inference(binary_proxy_clausification,[],[f314])). 4.92/1.08 tff(f317,plain,( 4.92/1.08 ( ! [X1] : ((s @ a @ (sK6 @ X1) = $true)) )), 4.92/1.08 inference(not_proxy_clausification,[],[f316])). 4.92/1.08 tff(f318,plain,( 4.92/1.08 ( ! [X1] : ((a1 @ X1 @ (sK6 @ X1) = $true)) )), 4.92/1.08 inference(not_proxy_clausification,[],[f315])). 4.92/1.08 tff(f319,plain,( 4.92/1.08 (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB) @ (bCOMB @ (bCOMB @ vNOT))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a1) @ p) @ sK7 = $false)), 4.92/1.08 inference(sigma_clausification,[],[f172])). 4.92/1.08 tff(f320,plain,( 4.92/1.08 (vNOT @ (vPI(mu) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ a1))))) @ p)) @ sK7)) = $false)), 4.92/1.08 inference(combinator_demodulation,[],[f319])). 4.92/1.08 tff(f321,plain,( 4.92/1.08 (vPI(mu) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ a1))))) @ p)) @ sK7) = $true)), 4.92/1.08 inference(not_proxy_clausification,[],[f320])). 4.92/1.08 tff(f322,plain,( 4.92/1.08 ( ! [X1:mu] : ((cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ a1))))) @ p)) @ sK7 @ X1 = $true)) )), 4.92/1.08 inference(pi_clausification,[],[f321])). 4.92/1.08 tff(f323,plain,( 4.92/1.08 ( ! [X1:mu] : ((vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ sK7))) @ (p @ X1))) = $true)) )), 4.92/1.08 inference(combinator_demodulation,[],[f322])). 4.92/1.08 tff(f324,plain,( 4.92/1.08 ( ! [X1:mu] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ sK7))) @ (p @ X1)) = $false)) )), 4.92/1.08 inference(not_proxy_clausification,[],[f323])). 4.92/1.08 tff(f325,plain,( 4.92/1.08 ( ! [X1:mu] : ((sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a1 @ sK7))) @ (p @ X1) @ (sK8 @ X1) = $false)) )), 4.92/1.08 inference(sigma_clausification,[],[f324])). 4.92/1.08 tff(f326,plain,( 4.92/1.08 ( ! [X1:mu] : ((vOR @ (vNOT @ (a1 @ sK7 @ (sK8 @ X1))) @ (p @ X1 @ (sK8 @ X1)) = $false)) )), 4.92/1.08 inference(combinator_demodulation,[],[f325])). 4.92/1.08 tff(f327,plain,( 4.92/1.08 ( ! [X1:mu] : ((vNOT @ (a1 @ sK7 @ (sK8 @ X1)) = $false)) )), 4.92/1.08 inference(binary_proxy_clausification,[],[f326])). 4.92/1.08 tff(f328,plain,( 4.92/1.08 ( ! [X1:mu] : ((p @ X1 @ (sK8 @ X1) = $false)) )), 4.92/1.08 inference(binary_proxy_clausification,[],[f326])). 4.92/1.08 tff(f329,plain,( 4.92/1.08 ( ! [X1:mu] : ((a1 @ sK7 @ (sK8 @ X1) = $true)) )), 4.92/1.08 inference(not_proxy_clausification,[],[f327])). 4.92/1.08 tff(f347,plain,( 4.92/1.08 ( ! [X2:mu,X3,X1] : (($false = $true) | (s @ X2 @ X1 = $false) | (a1 @ X3 @ X1 = $false) | (r @ X2 @ (sK6 @ X1) = $true)) )), 4.92/1.08 inference(superposition,[],[f318,f294])). 4.92/1.08 tff(f350,plain,( 4.92/1.08 ( ! [X2:mu,X3,X1] : ((r @ X2 @ (sK6 @ X1) = $true) | (a1 @ X3 @ X1 = $false) | (s @ X2 @ X1 = $false)) )), 4.92/1.08 inference(trivial_inequality_removal,[],[f347])). 4.92/1.08 tff(f352,plain,( 4.92/1.08 ( ! [X0,X1] : (sK5 @ (bCOMB @ vNOT @ (vEQ('$i') @ X0)) @ X1 = X0 | (a1 @ X1 @ X0 = $false)) )), 4.92/1.08 inference(leibniz_equality_elimination,[],[f266])). 4.92/1.08 tff(f458,plain,( 4.92/1.08 ( ! [X2,X0,X1] : ((a2 @ X1 @ X0 = $true) | (a1 @ X1 @ X2 = $false) | (bCOMB @ vNOT @ (vEQ('$i') @ X0) @ X2 = $true) | (a1 @ X1 @ X0 = $false)) )), 4.92/1.08 inference(superposition,[],[f267,f352])). 4.92/1.08 tff(f465,plain,( 4.92/1.08 ( ! [X2,X0,X1] : ((a2 @ X1 @ X0 = $true) | (a1 @ X1 @ X2 = $false) | (vNOT @ (vEQ('$i') @ X0 @ X2) = $true) | (a1 @ X1 @ X0 = $false)) )), 4.92/1.08 inference(combinator_demodulation,[],[f458])). 4.92/1.08 tff(f466,plain,( 4.92/1.08 ( ! [X2,X0,X1] : ((a2 @ X1 @ X0 = $true) | (a1 @ X1 @ X2 = $false) | (vEQ('$i') @ X0 @ X2 = $false) | (a1 @ X1 @ X0 = $false)) )), 4.92/1.08 inference(not_proxy_clausification,[],[f465])). 4.92/1.08 tff(f467,plain,( 4.92/1.08 ( ! [X2,X0,X1] : (X0 != X2 | (a1 @ X1 @ X2 = $false) | (a2 @ X1 @ X0 = $true) | (a1 @ X1 @ X0 = $false)) )), 4.92/1.08 inference(equality_proxy_clausification,[],[f466])). 4.92/1.08 tff(f468,plain,( 4.92/1.08 ( ! [X0,X1] : ((a1 @ X0 @ X1 = $false) | (a2 @ X0 @ X1 = $true) | (a1 @ X0 @ X1 = $false)) )), 4.92/1.08 inference(equality_resolution,[],[f467])). 4.92/1.08 tff(f469,plain,( 4.92/1.08 ( ! [X0,X1] : ((a2 @ X0 @ X1 = $true) | (a1 @ X0 @ X1 = $false)) )), 4.92/1.08 inference(duplicate_literal_removal,[],[f468])). 4.92/1.08 tff(f475,plain,( 4.92/1.08 ( ! [X2,X0,X1] : (sK1 @ (bCOMB @ vNOT @ (vEQ('$i') @ X0)) @ X1 = X0 | (a1 @ X2 @ X0 = $false) | (a1 @ X1 @ X2 = $false)) )), 4.92/1.08 inference(leibniz_equality_elimination,[],[f198])). 4.92/1.08 tff(f590,plain,( 4.92/1.08 ( ! [X0,X1:mu] : (($false = $true) | (r @ X1 @ (sK6 @ X0) = $false) | (q @ X1 @ (sK6 @ X0) = $true) | (s @ X1 @ (sK6 @ X0) = $false)) )), 4.92/1.08 inference(superposition,[],[f280,f318])). 4.92/1.08 tff(f597,plain,( 4.92/1.08 ( ! [X0,X1:mu] : ((s @ X1 @ (sK6 @ X0) = $false) | (q @ X1 @ (sK6 @ X0) = $true) | (r @ X1 @ (sK6 @ X0) = $false)) )), 4.92/1.08 inference(trivial_inequality_removal,[],[f590])). 4.92/1.08 tff(f608,plain,( 4.92/1.08 ( ! [X2] : (($false = $true) | (q @ a @ (sK6 @ X2) = $true) | (r @ a @ (sK6 @ X2) = $false)) )), 4.92/1.08 inference(superposition,[],[f597,f317])). 4.92/1.08 tff(f611,plain,( 4.92/1.08 ( ! [X2] : ((r @ a @ (sK6 @ X2) = $false) | (q @ a @ (sK6 @ X2) = $true)) )), 4.92/1.08 inference(trivial_inequality_removal,[],[f608])). 4.92/1.08 tff(f614,plain,( 4.92/1.08 ( ! [X2,X1] : (($false = $true) | (q @ a @ (sK6 @ X1) = $true) | (a1 @ X2 @ X1 = $false) | (s @ a @ X1 = $false)) )), 4.92/1.08 inference(superposition,[],[f611,f350])). 4.92/1.08 tff(f617,plain,( 4.92/1.08 ( ! [X2,X1] : ((q @ a @ (sK6 @ X1) = $true) | (a1 @ X2 @ X1 = $false) | (s @ a @ X1 = $false)) )), 4.92/1.08 inference(trivial_inequality_removal,[],[f614])). 4.92/1.08 tff(f622,plain,( 4.92/1.08 ( ! [X10:mu,X8,X7,X9] : (($false = $true) | (a2 @ X9 @ X7 = $false) | (p @ X10 @ X7 = $true) | (q @ X10 @ X8 = $false) | (a1 @ X7 @ X8 = $false)) )), 4.92/1.08 inference(superposition,[],[f309,f469])). 4.92/1.08 tff(f629,plain,( 4.92/1.08 ( ! [X10:mu,X8,X7,X9] : ((a2 @ X9 @ X7 = $false) | (p @ X10 @ X7 = $true) | (q @ X10 @ X8 = $false) | (a1 @ X7 @ X8 = $false)) )), 4.92/1.08 inference(trivial_inequality_removal,[],[f622])). 4.92/1.08 tff(f681,plain,( 4.92/1.08 ( ! [X14,X17,X15,X16:mu] : (($false = $true) | (p @ X16 @ X15 = $true) | (q @ X16 @ X17 = $false) | (a1 @ X15 @ X17 = $false) | (a1 @ X14 @ X15 = $false)) )), 4.92/1.08 inference(superposition,[],[f629,f469])). 4.92/1.08 tff(f688,plain,( 4.92/1.08 ( ! [X14,X17,X15,X16:mu] : ((a1 @ X15 @ X17 = $false) | (q @ X16 @ X17 = $false) | (p @ X16 @ X15 = $true) | (a1 @ X14 @ X15 = $false)) )), 4.92/1.08 inference(trivial_inequality_removal,[],[f681])). 4.92/1.08 tff(f766,plain,( 4.92/1.08 ( ! [X4,X2,X0,X3,X1] : ((a1 @ X1 @ X0 = $true) | (a1 @ X1 @ X2 = $false) | (a1 @ X2 @ X3 = $false) | (bCOMB @ vNOT @ (vEQ('$i') @ X0) @ X3 = $true) | (a1 @ X4 @ X0 = $false) | (a1 @ X1 @ X4 = $false)) )), 4.92/1.08 inference(superposition,[],[f199,f475])). 4.92/1.08 tff(f795,plain,( 4.92/1.08 ( ! [X4,X2,X0,X3,X1] : ((a1 @ X1 @ X0 = $true) | (a1 @ X1 @ X2 = $false) | (a1 @ X2 @ X3 = $false) | (vNOT @ (vEQ('$i') @ X0 @ X3) = $true) | (a1 @ X4 @ X0 = $false) | (a1 @ X1 @ X4 = $false)) )), 4.92/1.08 inference(combinator_demodulation,[],[f766])). 4.92/1.08 tff(f796,plain,( 4.92/1.08 ( ! [X4,X2,X0,X3,X1] : ((a1 @ X1 @ X0 = $true) | (a1 @ X1 @ X2 = $false) | (a1 @ X2 @ X3 = $false) | (vEQ('$i') @ X0 @ X3 = $false) | (a1 @ X4 @ X0 = $false) | (a1 @ X1 @ X4 = $false)) )), 4.92/1.08 inference(not_proxy_clausification,[],[f795])). 4.92/1.08 tff(f797,plain,( 4.92/1.08 ( ! [X4,X2,X0,X3,X1] : (X0 != X3 | (a1 @ X1 @ X2 = $false) | (a1 @ X2 @ X3 = $false) | (a1 @ X1 @ X0 = $true) | (a1 @ X4 @ X0 = $false) | (a1 @ X1 @ X4 = $false)) )), 4.92/1.08 inference(equality_proxy_clausification,[],[f796])). 4.92/1.08 tff(f958,plain,( 4.92/1.08 ( ! [X2,X0,X3,X1] : ((a1 @ X3 @ X2 = $false) | (a1 @ X1 @ X2 = $false) | (a1 @ X0 @ X2 = $true) | (a1 @ X0 @ X1 = $false) | (a1 @ X0 @ X3 = $false)) )), 4.92/1.08 inference(equality_resolution,[],[f797])). 4.92/1.08 tff(f970,plain,( 4.92/1.08 ( ! [X2,X0,X1] : (($false != $false) | (a1 @ X0 @ X1 = $false) | (a1 @ X2 @ X1 = $true) | (a1 @ X2 @ X0 = $false) | (a1 @ X2 @ X0 = $false)) )), 4.92/1.08 inference(equality_factoring,[],[f958])). 4.92/1.08 tff(f976,plain,( 4.92/1.08 ( ! [X2,X0,X1] : (($false != $false) | (a1 @ X0 @ X1 = $false) | (a1 @ X2 @ X1 = $true) | (a1 @ X2 @ X0 = $false)) )), 4.92/1.08 inference(duplicate_literal_removal,[],[f970])). 4.92/1.08 tff(f977,plain,( 4.92/1.08 ( ! [X2,X0,X1] : ((a1 @ X2 @ X1 = $true) | (a1 @ X0 @ X1 = $false) | (a1 @ X2 @ X0 = $false)) )), 4.92/1.08 inference(trivial_inequality_removal,[],[f976])). 4.92/1.08 tff(f994,plain,( 4.92/1.08 ( ! [X19,X17,X15,X18:mu,X16] : (($false = $true) | (a1 @ X17 @ X16 = $false) | (a1 @ X15 @ X17 = $false) | (q @ X18 @ X16 = $false) | (p @ X18 @ X15 = $true) | (a1 @ X19 @ X15 = $false)) )), 4.92/1.08 inference(superposition,[],[f977,f688])). 4.92/1.08 % (29554)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 4.92/1.09 % (29555)lrs+1002_1_av=off:fde=unused:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:lwlo=on:nm=16:nwc=4:sp=occurrence_300 on theBenchmark 5.97/1.09 tff(f1055,plain,( 5.97/1.09 ( ! [X19,X17,X15,X18:mu,X16] : ((a1 @ X19 @ X15 = $false) | (a1 @ X15 @ X17 = $false) | (q @ X18 @ X16 = $false) | (p @ X18 @ X15 = $true) | (a1 @ X17 @ X16 = $false)) )), 5.97/1.09 inference(trivial_inequality_removal,[],[f994])). 5.97/1.09 tff(f1664,plain,( 5.97/1.09 ( ! [X94,X92,X93:mu,X91:mu] : (($false = $true) | (a1 @ (sK8 @ X91) @ X92 = $false) | (q @ X93 @ X94 = $false) | (p @ X93 @ (sK8 @ X91) = $true) | (a1 @ X92 @ X94 = $false)) )), 5.97/1.09 inference(superposition,[],[f1055,f329])). 5.97/1.09 tff(f1683,plain,( 5.97/1.09 ( ! [X94,X92,X93:mu,X91:mu] : ((a1 @ (sK8 @ X91) @ X92 = $false) | (q @ X93 @ X94 = $false) | (p @ X93 @ (sK8 @ X91) = $true) | (a1 @ X92 @ X94 = $false)) )), 5.97/1.09 inference(trivial_inequality_removal,[],[f1664])). 5.97/1.09 tff(f1693,plain,( 5.97/1.09 ( ! [X35,X33:mu,X34:mu] : (($false = $true) | (q @ X34 @ X35 = $false) | (p @ X34 @ (sK8 @ X33) = $true) | (a1 @ (sK6 @ (sK8 @ X33)) @ X35 = $false)) )), 5.97/1.09 inference(superposition,[],[f1683,f318])). 5.97/1.09 tff(f1716,plain,( 5.97/1.09 ( ! [X35,X33:mu,X34:mu] : ((a1 @ (sK6 @ (sK8 @ X33)) @ X35 = $false) | (p @ X34 @ (sK8 @ X33) = $true) | (q @ X34 @ X35 = $false)) )), 5.97/1.09 inference(trivial_inequality_removal,[],[f1693])). 5.97/1.09 tff(f1721,plain,( 5.97/1.09 ( ! [X43:mu,X42:mu] : (($false = $true) | (p @ X43 @ (sK8 @ X42) = $true) | (q @ X43 @ (sK6 @ (sK6 @ (sK8 @ X42))) = $false)) )), 5.97/1.09 inference(superposition,[],[f1716,f318])). 5.97/1.09 tff(f1742,plain,( 5.97/1.09 ( ! [X43:mu,X42:mu] : ((q @ X43 @ (sK6 @ (sK6 @ (sK8 @ X42))) = $false) | (p @ X43 @ (sK8 @ X42) = $true)) )), 5.97/1.09 inference(trivial_inequality_removal,[],[f1721])). 5.97/1.09 tff(f1747,plain,( 5.97/1.09 ( ! [X6,X5:mu] : (($false = $true) | (p @ a @ (sK8 @ X5) = $true) | (a1 @ X6 @ (sK6 @ (sK8 @ X5)) = $false) | (s @ a @ (sK6 @ (sK8 @ X5)) = $false)) )), 5.97/1.09 inference(superposition,[],[f1742,f617])). 5.97/1.09 tff(f1752,plain,( 5.97/1.09 ( ! [X6,X5:mu] : ((a1 @ X6 @ (sK6 @ (sK8 @ X5)) = $false) | (p @ a @ (sK8 @ X5) = $true) | (s @ a @ (sK6 @ (sK8 @ X5)) = $false)) )), 5.97/1.09 inference(trivial_inequality_removal,[],[f1747])). 5.97/1.09 tff(f1756,plain,( 5.97/1.09 ( ! [X2:mu] : (($false = $true) | (p @ a @ (sK8 @ X2) = $true) | (s @ a @ (sK6 @ (sK8 @ X2)) = $false)) )), 5.97/1.09 inference(superposition,[],[f1752,f318])). 5.97/1.09 tff(f1767,plain,( 5.97/1.09 ( ! [X2:mu] : ((s @ a @ (sK6 @ (sK8 @ X2)) = $false) | (p @ a @ (sK8 @ X2) = $true)) )), 5.97/1.09 inference(trivial_inequality_removal,[],[f1756])). 5.97/1.09 tff(f1771,plain,( 5.97/1.09 ( ! [X1:mu] : (($false = $true) | (p @ a @ (sK8 @ X1) = $true)) )), 5.97/1.09 inference(superposition,[],[f1767,f317])). 5.97/1.09 tff(f1774,plain,( 5.97/1.09 ( ! [X1:mu] : ((p @ a @ (sK8 @ X1) = $true)) )), 5.97/1.09 inference(trivial_inequality_removal,[],[f1771])). 5.97/1.09 tff(f1778,plain,( 5.97/1.09 ($false = $true)), 5.97/1.09 inference(superposition,[],[f328,f1774])). 5.97/1.09 tff(f1779,plain,( 5.97/1.09 $false), 5.97/1.09 inference(trivial_inequality_removal,[],[f1778])). 5.97/1.09 % SZS output end Proof for theBenchmark 5.97/1.09 % (29533)------------------------------ 5.97/1.09 % (29533)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 5.97/1.09 % (29533)Termination reason: Refutation 5.97/1.09 5.97/1.09 % (29533)Memory used [KB]: 7419 5.97/1.09 % (29533)Time elapsed: 0.687 s 5.97/1.09 % (29533)------------------------------ 5.97/1.09 % (29533)------------------------------ 5.97/1.09 % (29507)Success in time 0.778 s 5.97/1.10 EOF