0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : run_vampire %s %d 0.13/0.34 % Computer : n021.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Thu Jul 2 08:13:07 EDT 2020 0.13/0.35 % CPUTime : 0.13/0.38 % (29669)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 0.21/0.39 % (29685)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 0.21/0.40 % (29670)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 0.21/0.40 % (29666)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 0.21/0.40 % (29665)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 0.21/0.40 % (29667)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 0.21/0.40 % (29672)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 0.21/0.40 % (29671)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 0.21/0.41 % (29684)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 0.21/0.41 % (29676)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 0.21/0.41 % (29663)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 0.21/0.42 % (29662)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 0.21/0.42 % (29664)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 0.21/0.42 % (29689)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 0.21/0.42 % (29691)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 0.21/0.42 % (29690)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 0.21/0.42 % (29668)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 0.21/0.43 % (29677)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 0.21/0.43 % (29688)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 0.21/0.43 % (29683)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 0.21/0.43 % (29681)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 0.21/0.43 % (29687)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 0.21/0.43 % (29682)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 0.21/0.44 % (29678)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 0.21/0.44 % (29673)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 0.21/0.44 % (29680)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 0.21/0.44 % (29675)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 0.21/0.44 % (29674)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 0.21/0.44 % (29686)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 0.21/0.45 % (29679)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 1.29/0.53 % (29664)Refutation not found, incomplete strategy 1.29/0.53 % (29664)------------------------------ 1.29/0.53 % (29664)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 1.29/0.53 % (29664)Termination reason: Refutation not found, incomplete strategy 1.29/0.53 1.29/0.53 % (29664)Memory used [KB]: 9978 1.29/0.53 % (29664)Time elapsed: 0.157 s 1.29/0.53 % (29664)------------------------------ 1.29/0.53 % (29664)------------------------------ 1.46/0.57 % (29692)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 1.46/0.57 % (29672)Refutation not found, incomplete strategy 1.46/0.57 % (29672)------------------------------ 1.46/0.57 % (29672)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 1.46/0.57 % (29672)Termination reason: Refutation not found, incomplete strategy 1.46/0.57 1.46/0.57 % (29672)Memory used [KB]: 13688 1.46/0.57 % (29672)Time elapsed: 0.201 s 1.46/0.57 % (29672)------------------------------ 1.46/0.57 % (29672)------------------------------ 1.46/0.62 % (29693)dis+1010_3:2_av=off:csup=on:prag=on:chr=on:foolp=on:bet=on:cnfonf=lazy_not_be_gen:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark 3.06/0.78 % (29676)Time limit reached! 3.06/0.78 % (29676)------------------------------ 3.06/0.78 % (29676)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.06/0.78 % (29676)Termination reason: Time limit 3.06/0.78 3.06/0.78 % (29676)Memory used [KB]: 7164 3.06/0.78 % (29676)Time elapsed: 0.403 s 3.06/0.78 % (29676)------------------------------ 3.06/0.78 % (29676)------------------------------ 3.38/0.81 % (29694)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 3.61/0.87 % (29673)Time limit reached! 3.61/0.87 % (29673)------------------------------ 3.61/0.87 % (29673)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.61/0.87 % (29673)Termination reason: Time limit 3.61/0.87 % (29673)Termination phase: Saturation 3.61/0.87 3.61/0.87 % (29673)Memory used [KB]: 12409 3.61/0.87 % (29673)Time elapsed: 0.500 s 3.61/0.87 % (29673)------------------------------ 3.61/0.87 % (29673)------------------------------ 3.61/0.87 % (29665)Time limit reached! 3.61/0.87 % (29665)------------------------------ 3.61/0.87 % (29665)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.61/0.87 % (29665)Termination reason: Time limit 3.61/0.87 3.61/0.87 % (29665)Memory used [KB]: 11769 3.61/0.87 % (29665)Time elapsed: 0.505 s 3.61/0.87 % (29665)------------------------------ 3.61/0.87 % (29665)------------------------------ 3.61/0.87 % (29663)Time limit reached! 3.61/0.87 % (29663)------------------------------ 3.61/0.87 % (29663)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.61/0.88 % (29694)Refutation not found, incomplete strategy 3.61/0.88 % (29694)------------------------------ 3.61/0.88 % (29694)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.61/0.88 % (29694)Termination reason: Refutation not found, incomplete strategy 3.61/0.88 3.61/0.88 % (29694)Memory used [KB]: 9978 3.61/0.88 % (29694)Time elapsed: 0.083 s 3.61/0.88 % (29694)------------------------------ 3.61/0.88 % (29694)------------------------------ 3.61/0.89 % (29663)Termination reason: Time limit 3.61/0.89 3.61/0.89 % (29663)Memory used [KB]: 11513 3.61/0.89 % (29663)Time elapsed: 0.505 s 3.61/0.89 % (29663)------------------------------ 3.61/0.89 % (29663)------------------------------ 3.61/0.90 % (29662)Time limit reached! 3.61/0.90 % (29662)------------------------------ 3.61/0.90 % (29662)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.61/0.90 % (29662)Termination reason: Time limit 3.61/0.90 3.61/0.90 % (29662)Memory used [KB]: 4221 3.61/0.90 % (29662)Time elapsed: 0.535 s 3.61/0.90 % (29662)------------------------------ 3.61/0.90 % (29662)------------------------------ 3.61/0.91 % (29695)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 3.61/0.91 % (29674)Time limit reached! 3.61/0.91 % (29674)------------------------------ 3.61/0.91 % (29674)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.61/0.91 % (29674)Termination reason: Time limit 3.61/0.91 3.61/0.91 % (29674)Memory used [KB]: 7164 3.61/0.91 % (29674)Time elapsed: 0.545 s 3.61/0.91 % (29674)------------------------------ 3.61/0.91 % (29674)------------------------------ 3.61/0.93 % (29696)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 3.61/0.93 % (29697)dis+1_3_add=large:afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:anc=none:gs=on:gsem=off:inw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:sos=all:sac=on:uwa=all:updr=off:uhcvi=on_125 on theBenchmark 4.30/0.94 % (29698)dis+1010_3:1_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:nm=32:nwc=1:sos=all:urr=ec_only:updr=off_77 on theBenchmark 4.30/0.95 % (29699)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 4.30/0.96 % (29700)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 4.30/0.97 % (29671)Time limit reached! 4.30/0.97 % (29671)------------------------------ 4.30/0.97 % (29671)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.30/0.97 % (29671)Termination reason: Time limit 4.30/0.97 % (29671)Termination phase: Saturation 4.30/0.97 4.30/0.97 % (29671)Memory used [KB]: 13176 4.30/0.97 % (29671)Time elapsed: 0.600 s 4.30/0.97 % (29671)------------------------------ 4.30/0.97 % (29671)------------------------------ 4.30/0.99 % (29695)Refutation not found, incomplete strategy 4.30/0.99 % (29695)------------------------------ 4.30/0.99 % (29695)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.30/0.99 % (29695)Termination reason: Refutation not found, incomplete strategy 4.30/0.99 4.30/0.99 % (29695)Memory used [KB]: 9978 4.30/0.99 % (29695)Time elapsed: 0.099 s 4.30/0.99 % (29695)------------------------------ 4.30/0.99 % (29695)------------------------------ 4.67/1.00 % (29668)Time limit reached! 4.67/1.00 % (29668)------------------------------ 4.67/1.00 % (29668)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.67/1.00 % (29668)Termination reason: Time limit 4.67/1.00 % (29668)Termination phase: Saturation 4.67/1.00 4.67/1.00 % (29668)Memory used [KB]: 12153 4.67/1.00 % (29668)Time elapsed: 0.600 s 4.67/1.00 % (29668)------------------------------ 4.67/1.00 % (29668)------------------------------ 4.67/1.01 % (29701)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 4.67/1.04 % (29702)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 4.67/1.05 % (29703)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 6.01/1.13 % (29703)Refutation not found, incomplete strategy 6.01/1.13 % (29703)------------------------------ 6.01/1.13 % (29703)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 6.01/1.14 % (29703)Termination reason: Refutation not found, incomplete strategy 6.01/1.14 6.01/1.14 % (29703)Memory used [KB]: 13048 6.01/1.14 % (29703)Time elapsed: 0.136 s 6.01/1.14 % (29703)------------------------------ 6.01/1.14 % (29703)------------------------------ 6.31/1.18 % (29704)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 7.23/1.31 % (29680)Time limit reached! 7.23/1.31 % (29680)------------------------------ 7.23/1.31 % (29680)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 7.23/1.31 % (29680)Termination reason: Time limit 7.23/1.31 % (29680)Termination phase: Saturation 7.23/1.31 7.23/1.31 % (29680)Memory used [KB]: 8315 7.23/1.31 % (29680)Time elapsed: 0.900 s 7.23/1.31 % (29680)------------------------------ 7.23/1.31 % (29680)------------------------------ 7.73/1.36 % (29705)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 7.87/1.39 % (29677)Time limit reached! 7.87/1.39 % (29677)------------------------------ 7.87/1.39 % (29677)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 7.87/1.39 % (29677)Termination reason: Time limit 7.87/1.39 7.87/1.39 % (29677)Memory used [KB]: 12665 7.87/1.39 % (29677)Time elapsed: 1.014 s 7.87/1.39 % (29677)------------------------------ 7.87/1.39 % (29677)------------------------------ 8.34/1.45 % (29706)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 8.58/1.48 % (29675)Time limit reached! 8.58/1.48 % (29675)------------------------------ 8.58/1.48 % (29675)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 8.58/1.48 % (29675)Termination reason: Time limit 8.58/1.48 8.58/1.48 % (29675)Memory used [KB]: 9722 8.58/1.48 % (29675)Time elapsed: 1.116 s 8.58/1.48 % (29675)------------------------------ 8.58/1.48 % (29675)------------------------------ 8.58/1.48 % (29684)Time limit reached! 8.58/1.48 % (29684)------------------------------ 8.58/1.48 % (29684)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 8.58/1.48 % (29684)Termination reason: Time limit 8.58/1.48 8.58/1.48 % (29684)Memory used [KB]: 5756 8.58/1.48 % (29684)Time elapsed: 1.103 s 8.58/1.48 % (29684)------------------------------ 8.58/1.48 % (29684)------------------------------ 8.58/1.49 % (29681)Time limit reached! 8.58/1.49 % (29681)------------------------------ 8.58/1.49 % (29681)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 8.58/1.49 % (29681)Termination reason: Time limit 8.58/1.49 8.58/1.49 % (29681)Memory used [KB]: 10362 8.58/1.49 % (29681)Time elapsed: 1.125 s 8.58/1.49 % (29681)------------------------------ 8.58/1.49 % (29681)------------------------------ 8.58/1.52 % (29707)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 9.10/1.53 % (29708)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 9.10/1.54 % (29709)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 11.90/1.91 % (29687)Time limit reached! 11.90/1.91 % (29687)------------------------------ 11.90/1.91 % (29687)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 11.90/1.91 % (29687)Termination reason: Time limit 11.90/1.91 11.90/1.91 % (29687)Memory used [KB]: 15351 11.90/1.91 % (29687)Time elapsed: 1.512 s 11.90/1.91 % (29687)------------------------------ 11.90/1.91 % (29687)------------------------------ 11.90/1.93 % (29666)Time limit reached! 11.90/1.93 % (29666)------------------------------ 11.90/1.93 % (29666)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 11.90/1.93 % (29666)Termination reason: Time limit 11.90/1.93 11.90/1.93 % (29666)Memory used [KB]: 9978 11.90/1.93 % (29666)Time elapsed: 1.556 s 11.90/1.93 % (29666)------------------------------ 11.90/1.93 % (29666)------------------------------ 12.53/1.95 % (29710)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=lazy_not_gen_be_off:bet=on:sup=off:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_70 on theBenchmark 12.77/1.98 % (29711)lrs-11_4:1_afp=4000:csup=on:inj=on:bet=on:foolp=on:cnfonf=lazy_not_gen_be_off:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_45 on theBenchmark 12.77/2.01 % (29667)Time limit reached! 12.77/2.01 % (29667)------------------------------ 12.77/2.01 % (29667)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 12.77/2.01 % (29667)Termination reason: Time limit 12.77/2.01 % (29667)Termination phase: Saturation 12.77/2.01 12.77/2.01 % (29667)Memory used [KB]: 17270 12.77/2.01 % (29667)Time elapsed: 1.645 s 12.77/2.01 % (29667)------------------------------ 12.77/2.01 % (29667)------------------------------ 13.37/2.07 % (29710)Refutation not found, incomplete strategy 13.37/2.07 % (29710)------------------------------ 13.37/2.07 % (29710)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 13.37/2.07 % (29710)Termination reason: Refutation not found, incomplete strategy 13.37/2.07 13.37/2.07 % (29710)Memory used [KB]: 6780 13.37/2.07 % (29710)Time elapsed: 0.162 s 13.37/2.07 % (29710)------------------------------ 13.37/2.07 % (29710)------------------------------ 13.37/2.08 % (29712)lrs+1011_8_add=large:csup=on:e2e=on:prag=on:mXXn=1:cnfonf=lazy_simp: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_19 on theBenchmark 13.37/2.09 % (29713)dis+1011_4_av=off:cond=on:piset=false_true_not: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 14.37/2.18 % (29705)Time limit reached! 14.37/2.18 % (29705)------------------------------ 14.37/2.18 % (29705)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 14.37/2.18 % (29705)Termination reason: Time limit 14.37/2.18 % (29705)Termination phase: Saturation 14.37/2.18 14.37/2.18 % (29705)Memory used [KB]: 3070 14.37/2.18 % (29705)Time elapsed: 0.800 s 14.37/2.18 % (29705)------------------------------ 14.37/2.18 % (29705)------------------------------ 14.37/2.20 % (29702)Time limit reached! 14.37/2.20 % (29702)------------------------------ 14.37/2.20 % (29702)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 14.37/2.20 % (29702)Termination reason: Time limit 14.37/2.20 14.37/2.20 % (29702)Memory used [KB]: 8315 14.37/2.20 % (29702)Time elapsed: 1.218 s 14.37/2.20 % (29702)------------------------------ 14.37/2.20 % (29702)------------------------------ 14.37/2.21 % (29714)dis+1002_7_acc=on:afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=2.0:amm=sco:anc=none:cond=fast:fsr=off:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:newcnf=on:nwc=1.1:nicw=on:sos=on:sac=on:sp=reverse_arity:urr=ec_only:updr=off_73 on theBenchmark 14.37/2.24 % (29715)dis+11_24_afp=40000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.1:amm=sco:anc=none:bs=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=2:nwc=1:sos=on:sac=on:updr=off_91 on theBenchmark 17.21/2.55 % (29701)Time limit reached! 17.21/2.55 % (29701)------------------------------ 17.21/2.55 % (29701)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 17.21/2.57 % (29701)Termination reason: Time limit 17.21/2.57 17.21/2.57 % (29701)Memory used [KB]: 15223 17.21/2.57 % (29701)Time elapsed: 1.583 s 17.21/2.57 % (29701)------------------------------ 17.21/2.57 % (29701)------------------------------ 17.42/2.63 % (29716)lrs+1010_8_add=off:afp=100000:afq=1.0:amm=off:anc=none:csup=on:foolp=on:ptlr=on:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark 19.78/2.88 % (29707)Time limit reached! 19.78/2.88 % (29707)------------------------------ 19.78/2.88 % (29707)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 19.98/2.89 % (29707)Termination reason: Time limit 19.98/2.89 19.98/2.89 % (29707)Memory used [KB]: 17910 19.98/2.89 % (29707)Time elapsed: 1.409 s 19.98/2.89 % (29707)------------------------------ 19.98/2.89 % (29707)------------------------------ 19.98/2.92 % (29713)Time limit reached! 19.98/2.92 % (29713)------------------------------ 19.98/2.92 % (29713)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 19.98/2.92 % (29713)Termination reason: Time limit 19.98/2.92 19.98/2.92 % (29713)Memory used [KB]: 3326 19.98/2.92 % (29713)Time elapsed: 0.853 s 19.98/2.92 % (29713)------------------------------ 19.98/2.92 % (29713)------------------------------ 20.41/2.95 % (29717)lrs+1011_5_afr=on:afp=100000:narr=ski:prag=on:mXXn=3:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=off:anc=none:cond=on:lma=on:nm=6:nwc=1:stl=30:sac=on:urr=on_15 on theBenchmark 20.41/2.97 % (29718)lrs+1011_5:4_acc=on:narr=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:add=large:afr=on:afp=0: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_12 on theBenchmark 24.61/3.50 % (29670)Time limit reached! 24.61/3.50 % (29670)------------------------------ 24.61/3.50 % (29670)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 24.61/3.51 % (29670)Termination reason: Time limit 24.61/3.51 24.61/3.51 % (29670)Memory used [KB]: 11385 24.61/3.51 % (29670)Time elapsed: 3.136 s 24.61/3.51 % (29670)------------------------------ 24.61/3.51 % (29670)------------------------------ 25.39/3.57 % (29720)lrs+1011_8_add=large:csup=on:narr=off: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_10 on theBenchmark 25.39/3.58 % (29679)Time limit reached! 25.39/3.58 % (29679)------------------------------ 25.39/3.58 % (29679)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 25.39/3.58 % (29679)Termination reason: Time limit 25.39/3.58 % (29679)Termination phase: Saturation 25.39/3.58 25.39/3.58 % (29679)Memory used [KB]: 19445 25.39/3.58 % (29679)Time elapsed: 3.215 s 25.39/3.58 % (29679)------------------------------ 25.39/3.58 % (29679)------------------------------ 25.65/3.61 % (29683)Time limit reached! 25.65/3.61 % (29683)------------------------------ 25.65/3.61 % (29683)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 25.65/3.61 % (29683)Termination reason: Time limit 25.65/3.61 % (29683)Termination phase: Saturation 25.65/3.61 25.65/3.61 % (29683)Memory used [KB]: 29295 25.65/3.61 % (29683)Time elapsed: 3.200 s 25.65/3.61 % (29683)------------------------------ 25.65/3.61 % (29683)------------------------------ 25.65/3.63 % (29721)lrs+11_3:2_add=large:afp=1000:afq=1.1:amm=sco:anc=none:csup=on:foolp=on:ptlr=on:bd=off:er=filter:irw=on:lcm=predicate:lma=on:nm=6:nwc=1:stl=30:sp=occurrence:urr=on:updr=off_10 on theBenchmark 25.91/3.63 % (29720)Refutation not found, incomplete strategy 25.91/3.63 % (29720)------------------------------ 25.91/3.63 % (29720)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 25.91/3.63 % (29720)Termination reason: Refutation not found, incomplete strategy 25.91/3.63 25.91/3.63 % (29720)Memory used [KB]: 9978 25.91/3.63 % (29720)Time elapsed: 0.114 s 25.91/3.63 % (29720)------------------------------ 25.91/3.63 % (29720)------------------------------ 25.95/3.67 % (29722)lrs+1011_8_add=large:csup=on:piset=all: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_31 on theBenchmark 25.95/3.69 % (29723)lrs+1_8:1_av=off:cond=fast:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:fde=unused:lcm=predicate:nm=16:nwc=10:sp=occurrence:urr=ec_only_600 on theBenchmark 26.49/3.75 % (29722)Refutation not found, incomplete strategy 26.49/3.75 % (29722)------------------------------ 26.49/3.75 % (29722)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 26.49/3.75 % (29722)Termination reason: Refutation not found, incomplete strategy 26.49/3.75 26.49/3.75 % (29722)Memory used [KB]: 9978 26.49/3.75 % (29722)Time elapsed: 0.115 s 26.49/3.75 % (29722)------------------------------ 26.49/3.75 % (29722)------------------------------ 26.94/3.77 % (29693)Time limit reached! 26.94/3.77 % (29693)------------------------------ 26.94/3.77 % (29693)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 26.94/3.77 % (29693)Termination reason: Time limit 26.94/3.77 26.94/3.77 % (29693)Memory used [KB]: 21748 26.94/3.77 % (29693)Time elapsed: 3.187 s 26.94/3.77 % (29693)------------------------------ 26.94/3.77 % (29693)------------------------------ 26.94/3.79 % (29724)dis+1011_5_add=off:afr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=10000:afq=1.1:amm=off:anc=none:cond=on:fsr=off:nm=32:nwc=1:sd=3:ss=axioms:st=2.0:sp=occurrence:updr=off_2 on theBenchmark 26.94/3.82 % (29696)Time limit reached! 26.94/3.82 % (29696)------------------------------ 26.94/3.82 % (29696)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 26.94/3.82 % (29696)Termination reason: Time limit 26.94/3.82 % (29696)Termination phase: Saturation 26.94/3.82 26.94/3.82 % (29696)Memory used [KB]: 23666 26.94/3.82 % (29696)Time elapsed: 2.900 s 26.94/3.82 % (29696)------------------------------ 26.94/3.82 % (29696)------------------------------ 26.94/3.83 % (29725)lrs-11_4:1_afp=0:narr=sk:prag=on: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 27.63/3.86 % (29726)dis+1002_6_add=large:csup=on:narr=sk:prag=on:mXXn=4:inj=on:chr=on:foolp=on:cnfonf=eager:afp=0:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off_22 on theBenchmark 29.22/4.05 % (29669)Time limit reached! 29.22/4.05 % (29669)------------------------------ 29.22/4.05 % (29669)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 29.22/4.05 % (29669)Termination reason: Time limit 29.22/4.05 29.22/4.05 % (29669)Memory used [KB]: 8187 29.22/4.05 % (29669)Time elapsed: 3.679 s 29.22/4.05 % (29669)------------------------------ 29.22/4.05 % (29669)------------------------------ 29.22/4.08 % (29727)lrs-11_4:1_afp=0:fe=axiom:narr=sk:prag=on: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 29.22/4.14 % (29712)Time limit reached! 29.22/4.14 % (29712)------------------------------ 29.22/4.14 % (29712)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 29.22/4.14 % (29712)Termination reason: Time limit 29.22/4.14 29.22/4.14 % (29712)Memory used [KB]: 24050 29.22/4.14 % (29712)Time elapsed: 2.108 s 29.22/4.14 % (29712)------------------------------ 29.22/4.14 % (29712)------------------------------ 29.99/4.16 % (29716)Time limit reached! 29.99/4.16 % (29716)------------------------------ 29.99/4.16 % (29716)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 29.99/4.16 % (29716)Termination reason: Time limit 29.99/4.16 29.99/4.16 % (29716)Memory used [KB]: 12537 29.99/4.16 % (29716)Time elapsed: 1.601 s 29.99/4.16 % (29716)------------------------------ 29.99/4.16 % (29716)------------------------------ 29.99/4.18 % (29728)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_300 on theBenchmark 30.43/4.24 % (29729)lrs+1011_10_aac=none:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:acc=model:add=large:afp=40000:afq=2.0:anc=none:bd=off:bsr=on:fsr=off:gs=on:gsem=off:irw=on:lcm=reverse:lwlo=on:nm=64:nwc=3:nicw=on:stl=30_38 on theBenchmark 30.88/4.28 % (29724)Time limit reached! 30.88/4.28 % (29724)------------------------------ 30.88/4.28 % (29724)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 30.88/4.28 % (29724)Termination reason: Time limit 30.88/4.28 % (29724)Termination phase: Saturation 30.88/4.28 30.88/4.28 % (29724)Memory used [KB]: 6908 30.88/4.28 % (29724)Time elapsed: 0.509 s 30.88/4.28 % (29724)------------------------------ 30.88/4.28 % (29724)------------------------------ 31.20/4.32 % (29730)lrs+10_1:1_av=off:bsr=on:csup=on:fe=axiom:foolp=on:cnfonf=eager:cond=on:er=known:gs=on:lcm=reverse:nm=32:nwc=4:stl=30:sp=occurrence:urr=on:updr=off_67 on theBenchmark 31.20/4.32 % (29718)Time limit reached! 31.20/4.32 % (29718)------------------------------ 31.20/4.32 % (29718)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 31.20/4.32 % (29718)Termination reason: Time limit 31.20/4.32 % (29718)Termination phase: Saturation 31.20/4.32 31.20/4.32 % (29718)Memory used [KB]: 14072 31.20/4.32 % (29718)Time elapsed: 1.400 s 31.20/4.32 % (29718)------------------------------ 31.20/4.32 % (29718)------------------------------ 31.48/4.37 % (29731)ott+11_2:1_add=large:narr=ski:prag=on:mXXn=4:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=0: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 33.62/4.59 % (29717)Time limit reached! 33.62/4.59 % (29717)------------------------------ 33.62/4.59 % (29717)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 33.62/4.59 % (29717)Termination reason: Time limit 33.62/4.59 % (29717)Termination phase: Saturation 33.62/4.59 33.62/4.59 % (29717)Memory used [KB]: 10362 33.62/4.59 % (29717)Time elapsed: 1.713 s 33.62/4.59 % (29717)------------------------------ 33.62/4.59 % (29717)------------------------------ 33.62/4.63 % (29726)Refutation found. Thanks to Tanya! 33.62/4.63 % SZS status Theorem for theBenchmark 33.62/4.63 % SZS output start Proof for theBenchmark 33.62/4.63 tff(func_def_3, type, ->: ('$tType' * '$tType') > '$tType'). 33.62/4.63 tff(func_def_4, type, in: '$i' -> '$i' -> '$o'). 33.62/4.63 tff(func_def_5, type, subset: '$i' -> '$i' -> '$o'). 33.62/4.63 tff(func_def_7, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 33.62/4.63 tff(func_def_8, type, binunion: '$i' -> '$i' -> '$i'). 33.62/4.63 tff(func_def_9, type, kpair: '$i' -> '$i' -> '$i'). 33.62/4.63 tff(func_def_10, type, breln1: '$i' -> '$i' -> '$o'). 33.62/4.63 tff(func_def_16, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0). 33.62/4.63 tff(func_def_19, type, vIMP: '$o' -> '$o' -> '$o'). 33.62/4.63 tff(func_def_20, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o'). 33.62/4.63 tff(func_def_21, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 33.62/4.63 tff(func_def_22, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2). 33.62/4.63 tff(func_def_23, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 33.62/4.63 tff(func_def_24, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 33.62/4.63 tff(func_def_25, type, vOR: '$o' -> '$o' -> '$o'). 33.62/4.63 tff(func_def_30, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1). 33.62/4.63 tff(func_def_31, type, iCOMB: !>[X2: $ttype]:X2 -> X2). 33.62/4.63 tff(func_def_32, type, sK4: '$i' -> '$i' -> '$i' -> '$i'). 33.62/4.63 tff(func_def_33, type, sK5: '$i' -> '$i' -> '$i' -> '$i'). 33.62/4.63 tff(f1,axiom,( 33.62/4.63 (setextsub = ! [X0,X1] : (subset @ X0 @ X1 => (subset @ X1 @ X0 => X0 = X1)))), 33.62/4.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setextsub)). 33.62/4.63 tff(f2,axiom,( 33.62/4.63 (subbreln1 = ! [X0,X2] : (breln1 @ X0 @ X2 => ! [X3] : (breln1 @ X0 @ X3 => (! [X4] : (in @ X4 @ X0 => ! [X5] : (in @ X5 @ X0 => (in @ (kpair @ X4 @ X5) @ X2 => in @ (kpair @ X4 @ X5) @ X3))) => subset @ X2 @ X3))))), 33.62/4.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subbreln1)). 33.62/4.63 tff(f3,axiom,( 33.62/4.63 (breln1unionprop = ! [X0,X2] : (breln1 @ X0 @ X2 => ! [X3] : (breln1 @ X0 @ X3 => breln1 @ X0 @ (binunion @ X2 @ X3))))), 33.62/4.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',breln1unionprop)). 33.62/4.63 tff(f4,axiom,( 33.62/4.63 (breln1unionIL = ! [X0,X2] : (breln1 @ X0 @ X2 => ! [X3] : (breln1 @ X0 @ X3 => ! [X4] : (in @ X4 @ X0 => ! [X5] : (in @ X5 @ X0 => (in @ (kpair @ X4 @ X5) @ X2 => in @ (kpair @ X4 @ X5) @ (binunion @ X2 @ X3)))))))), 33.62/4.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',breln1unionIL)). 33.62/4.63 tff(f5,axiom,( 33.62/4.63 (breln1unionIR = ! [X0,X2] : (breln1 @ X0 @ X2 => ! [X3] : (breln1 @ X0 @ X3 => ! [X4] : (in @ X4 @ X0 => ! [X5] : (in @ X5 @ X0 => (in @ (kpair @ X4 @ X5) @ X3 => in @ (kpair @ X4 @ X5) @ (binunion @ X2 @ X3)))))))), 33.62/4.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',breln1unionIR)). 33.62/4.63 tff(f6,axiom,( 33.62/4.63 (breln1unionE = ! [X0,X2] : (breln1 @ X0 @ X2 => ! [X3] : (breln1 @ X0 @ X3 => ! [X4] : (in @ X4 @ X0 => ! [X5] : (in @ X5 @ X0 => (in @ (kpair @ X4 @ X5) @ (binunion @ X2 @ X3) => (in @ (kpair @ X4 @ X5) @ X3 | in @ (kpair @ X4 @ X5) @ X2)))))))), 33.62/4.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',breln1unionE)). 33.62/4.63 tff(f7,conjecture,( 33.62/4.63 setextsub => (subbreln1 => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionE => ! [X0,X2] : (breln1 @ X0 @ X2 => ! [X3] : (breln1 @ X0 @ X3 => binunion @ X2 @ X3 = binunion @ X3 @ X2)))))))), 33.62/4.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',breln1unionCommutes)). 33.62/4.63 tff(f8,negated_conjecture,( 33.62/4.63 ~(setextsub => (subbreln1 => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionE => ! [X0,X2] : (breln1 @ X0 @ X2 => ! [X3] : (breln1 @ X0 @ X3 => binunion @ X2 @ X3 = binunion @ X3 @ X2))))))))), 33.62/4.63 inference(negated_conjecture,[],[f7])). 33.62/4.63 tff(f9,plain,( 33.62/4.63 ~(setextsub => (subbreln1 => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionE => ! [X0,X1] : (breln1 @ X0 @ X1 => ! [X2] : (breln1 @ X0 @ X2 => binunion @ X1 @ X2 = binunion @ X2 @ X1))))))))), 33.62/4.63 inference(rectify,[],[f8])). 33.62/4.63 tff(f10,plain,( 33.62/4.63 ~((setextsub = $true) => ((subbreln1 = $true) => ((breln1unionprop = $true) => ((breln1unionIL = $true) => ((breln1unionIR = $true) => ((breln1unionE = $true) => ! [X0,X1] : ((breln1 @ X0 @ X1 = $true) => ! [X2] : ((breln1 @ X0 @ X2 = $true) => binunion @ X1 @ X2 = binunion @ X2 @ X1))))))))), 33.62/4.63 inference(fool_elimination,[],[f9])). 33.62/4.63 tff(f11,plain,( 33.62/4.63 (setextsub = ! [X0,X1] : (subset @ X0 @ X1 => (subset @ X1 @ X0 => X0 = X1)))), 33.62/4.63 inference(rectify,[],[f1])). 33.62/4.63 tff(f12,plain,( 33.62/4.63 (setextsub = vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ subset))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ subset)) @ (cCOMB @ vEQ('$i'))))))), 33.62/4.63 inference(fool_elimination,[],[f11])). 33.62/4.63 tff(f13,plain,( 33.62/4.63 (subbreln1 = ! [X0,X1] : (breln1 @ X0 @ X1 => ! [X2] : (breln1 @ X0 @ X2 => (! [X3] : (in @ X3 @ X0 => ! [X4] : (in @ X4 @ X0 => (in @ (kpair @ X3 @ X4) @ X1 => in @ (kpair @ X3 @ X4) @ X2))) => subset @ X1 @ X2))))), 33.62/4.63 inference(rectify,[],[f2])). 33.62/4.63 tff(f14,plain,( 33.62/4.63 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ breln1))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ breln1))) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))))))))) @ subset))))) = subbreln1)), 33.62/4.63 inference(fool_elimination,[],[f13])). 33.62/4.63 tff(f15,plain,( 33.62/4.63 (breln1unionIL = ! [X0,X1] : (breln1 @ X0 @ X1 => ! [X2] : (breln1 @ X0 @ X2 => ! [X3] : (in @ X3 @ X0 => ! [X4] : (in @ X4 @ X0 => (in @ (kpair @ X3 @ X4) @ X1 => in @ (kpair @ X3 @ X4) @ (binunion @ X1 @ X2)))))))), 33.62/4.63 inference(rectify,[],[f4])). 33.62/4.63 tff(f16,plain,( 33.62/4.63 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ breln1))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ breln1))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))))) @ (bCOMB @ (bCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)))) @ binunion)))))))))) = breln1unionIL)), 33.62/4.63 inference(fool_elimination,[],[f15])). 33.62/4.63 tff(f17,plain,( 33.62/4.63 (breln1unionIR = ! [X0,X1] : (breln1 @ X0 @ X1 => ! [X2] : (breln1 @ X0 @ X2 => ! [X3] : (in @ X3 @ X0 => ! [X4] : (in @ X4 @ X0 => (in @ (kpair @ X3 @ X4) @ X2 => in @ (kpair @ X3 @ X4) @ (binunion @ X1 @ X2)))))))), 33.62/4.63 inference(rectify,[],[f5])). 33.62/4.63 tff(f18,plain,( 33.62/4.63 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ breln1))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ breln1))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))))) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))))) @ (bCOMB @ (bCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)))) @ binunion)))))))))) = breln1unionIR)), 33.62/4.63 inference(fool_elimination,[],[f17])). 33.62/4.63 tff(f19,plain,( 33.62/4.63 (breln1unionE = ! [X0,X1] : (breln1 @ X0 @ X1 => ! [X2] : (breln1 @ X0 @ X2 => ! [X3] : (in @ X3 @ X0 => ! [X4] : (in @ X4 @ X0 => (in @ (kpair @ X3 @ X4) @ (binunion @ X1 @ X2) => (in @ (kpair @ X3 @ X4) @ X2 | in @ (kpair @ X3 @ X4) @ X1)))))))), 33.62/4.63 inference(rectify,[],[f6])). 33.62/4.63 tff(f20,plain,( 33.62/4.63 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ breln1))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ breln1))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (bCOMB @ (bCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)))) @ binunion))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))))))))))) = breln1unionE)), 33.62/4.63 inference(fool_elimination,[],[f19])). 33.62/4.63 tff(f21,plain,( 33.62/4.63 (breln1unionprop = ! [X0,X1] : (breln1 @ X0 @ X1 => ! [X2] : (breln1 @ X0 @ X2 => breln1 @ X0 @ (binunion @ X1 @ X2))))), 33.62/4.63 inference(rectify,[],[f3])). 33.62/4.63 tff(f22,plain,( 33.62/4.63 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ breln1))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ breln1))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ breln1)) @ binunion))))) = breln1unionprop)), 33.62/4.63 inference(fool_elimination,[],[f21])). 33.62/4.63 tff(f23,plain,( 33.62/4.63 (((((? [X0,X1] : (? [X2] : (binunion @ X1 @ X2 != binunion @ X2 @ X1 & (breln1 @ X0 @ X2 = $true)) & (breln1 @ X0 @ X1 = $true)) & (breln1unionE = $true)) & (breln1unionIR = $true)) & (breln1unionIL = $true)) & (breln1unionprop = $true)) & (subbreln1 = $true)) & (setextsub = $true)), 33.62/4.63 inference(ennf_transformation,[],[f10])). 33.62/4.63 tff(f24,plain,( 33.62/4.63 ? [X0,X1] : (? [X2] : (binunion @ X1 @ X2 != binunion @ X2 @ X1 & (breln1 @ X0 @ X2 = $true)) & (breln1 @ X0 @ X1 = $true)) & (breln1unionE = $true) & (breln1unionIR = $true) & (breln1unionIL = $true) & (breln1unionprop = $true) & (subbreln1 = $true) & (setextsub = $true)), 33.62/4.63 inference(flattening,[],[f23])). 33.62/4.63 tff(f25,plain,( 33.62/4.63 ? [X0,X1] : (? [X2] : (binunion @ X1 @ X2 != binunion @ X2 @ X1 & (breln1 @ X0 @ X2 = $true)) & (breln1 @ X0 @ X1 = $true)) => (? [X2] : (binunion @ X2 @ sK1 != binunion @ sK1 @ X2 & (breln1 @ sK0 @ X2 = $true)) & (breln1 @ sK0 @ sK1 = $true))), 33.62/4.63 introduced(choice_axiom,[])). 33.62/4.63 tff(f26,plain,( 33.62/4.63 ? [X2] : (binunion @ X2 @ sK1 != binunion @ sK1 @ X2 & (breln1 @ sK0 @ X2 = $true)) => (binunion @ sK1 @ sK2 != binunion @ sK2 @ sK1 & (breln1 @ sK0 @ sK2 = $true))), 33.62/4.63 introduced(choice_axiom,[])). 33.62/4.63 tff(f27,plain,( 33.62/4.63 ((binunion @ sK1 @ sK2 != binunion @ sK2 @ sK1 & (breln1 @ sK0 @ sK2 = $true)) & (breln1 @ sK0 @ sK1 = $true)) & (breln1unionE = $true) & (breln1unionIR = $true) & (breln1unionIL = $true) & (breln1unionprop = $true) & (subbreln1 = $true) & (setextsub = $true)), 33.62/4.63 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f24,f26,f25])). 33.62/4.63 tff(f28,plain,( 33.62/4.63 (setextsub = $true)), 33.62/4.63 inference(cnf_transformation,[],[f27])). 33.62/4.63 tff(f29,plain,( 33.62/4.63 (subbreln1 = $true)), 33.62/4.63 inference(cnf_transformation,[],[f27])). 33.62/4.63 tff(f30,plain,( 33.62/4.63 (breln1unionprop = $true)), 33.62/4.63 inference(cnf_transformation,[],[f27])). 33.62/4.63 tff(f31,plain,( 33.62/4.63 (breln1unionIL = $true)), 33.62/4.63 inference(cnf_transformation,[],[f27])). 33.62/4.63 tff(f32,plain,( 33.62/4.63 (breln1unionIR = $true)), 33.62/4.63 inference(cnf_transformation,[],[f27])). 33.62/4.63 tff(f33,plain,( 33.62/4.63 (breln1unionE = $true)), 33.62/4.63 inference(cnf_transformation,[],[f27])). 33.62/4.63 tff(f34,plain,( 33.62/4.63 (breln1 @ sK0 @ sK1 = $true)), 33.62/4.63 inference(cnf_transformation,[],[f27])). 33.62/4.63 tff(f35,plain,( 33.62/4.63 (breln1 @ sK0 @ sK2 = $true)), 33.62/4.63 inference(cnf_transformation,[],[f27])). 33.62/4.63 tff(f36,plain,( 33.62/4.63 binunion @ sK1 @ sK2 != binunion @ sK2 @ sK1), 33.62/4.63 inference(cnf_transformation,[],[f27])). 33.62/4.63 tff(f37,plain,( 33.62/4.63 (setextsub = vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ subset))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ subset)) @ (cCOMB @ vEQ('$i'))))))), 33.62/4.63 inference(cnf_transformation,[],[f12])). 33.62/4.63 tff(f38,plain,( 33.62/4.63 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ breln1))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ breln1))) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))))))))) @ subset))))) = subbreln1)), 33.62/4.63 inference(cnf_transformation,[],[f14])). 33.62/4.63 tff(f39,plain,( 33.62/4.63 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ breln1))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ breln1))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))))) @ (bCOMB @ (bCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)))) @ binunion)))))))))) = breln1unionIL)), 33.62/4.63 inference(cnf_transformation,[],[f16])). 33.62/4.63 tff(f40,plain,( 33.62/4.63 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ breln1))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ breln1))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))))) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))))) @ (bCOMB @ (bCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)))) @ binunion)))))))))) = breln1unionIR)), 33.62/4.63 inference(cnf_transformation,[],[f18])). 33.62/4.65 % (29732)ott+1002_8:1_add=off:csup=on:fe=axiom:chr=on:foolp=on:cnfonf=eager:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:bs=unit_only:fsr=off:gs=on:gsem=off:nm=32:nwc=10:sp=occurrence:urr=on:updr=off_15 on theBenchmark 33.62/4.65 tff(f41,plain,( 33.62/4.65 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ breln1))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ breln1))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (bCOMB @ (bCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)))) @ binunion))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))))))))))) = breln1unionE)), 33.62/4.65 inference(cnf_transformation,[],[f20])). 33.62/4.65 tff(f42,plain,( 33.62/4.65 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ breln1))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ breln1))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ breln1)) @ binunion))))) = breln1unionprop)), 33.62/4.65 inference(cnf_transformation,[],[f22])). 33.62/4.65 tff(f43,plain,( 33.62/4.65 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ subset))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ subset)) @ (cCOMB @ vEQ('$i'))))) = $true)), 33.62/4.65 inference(definition_unfolding,[],[f37,f28])). 33.62/4.66 tff(f44,plain,( 33.62/4.66 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ breln1))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ breln1))) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))))))))) @ subset))))) = $true)), 33.62/4.66 inference(definition_unfolding,[],[f38,f29])). 34.17/4.66 tff(f45,plain,( 34.17/4.66 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ breln1))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ breln1))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))))) @ (bCOMB @ (bCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)))) @ binunion)))))))))) = $true)), 34.17/4.66 inference(definition_unfolding,[],[f39,f31])). 34.17/4.66 tff(f46,plain,( 34.17/4.66 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ breln1))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ breln1))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))))) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))))) @ (bCOMB @ (bCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)))) @ binunion)))))))))) = $true)), 34.17/4.66 inference(definition_unfolding,[],[f40,f32])). 34.17/4.66 tff(f47,plain,( 34.17/4.66 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ breln1))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ breln1))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (bCOMB @ (bCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)))) @ binunion))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))))))))))) = $true)), 34.17/4.66 inference(definition_unfolding,[],[f41,f33])). 34.17/4.66 tff(f48,plain,( 34.17/4.66 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ breln1))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ breln1))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ breln1)) @ binunion))))) = $true)), 34.17/4.66 inference(definition_unfolding,[],[f42,f30])). 34.17/4.66 tff(f49,plain,( 34.17/4.66 ( ! [X1] : ((bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ breln1))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ breln1))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ breln1)) @ binunion)))) @ X1 = $true)) )), 34.17/4.66 inference(pi_clausification,[],[f48])). 34.17/4.66 tff(f50,plain,( 34.17/4.66 ( ! [X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ breln1 @ X1)) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ breln1)) @ (cCOMB @ (bCOMB @ bCOMB @ breln1) @ (binunion @ X1))))) = $true)) )), 34.17/4.66 inference(combinator_demodulation,[],[f49])). 34.17/4.66 tff(f51,plain,( 34.17/4.66 ( ! [X2,X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ breln1 @ X1)) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ breln1)) @ (cCOMB @ (bCOMB @ bCOMB @ breln1) @ (binunion @ X1)))) @ X2 = $true)) )), 34.17/4.66 inference(pi_clausification,[],[f50])). 34.17/4.66 tff(f52,plain,( 34.17/4.66 ( ! [X2,X1] : ((vIMP @ (breln1 @ X2 @ X1) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (breln1 @ X2)) @ (bCOMB @ (breln1 @ X2) @ (binunion @ X1)))) = $true)) )), 34.17/4.66 inference(combinator_demodulation,[],[f51])). 34.17/4.66 tff(f53,plain,( 34.17/4.66 ( ! [X2,X1] : ((breln1 @ X2 @ X1 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (breln1 @ X2)) @ (bCOMB @ (breln1 @ X2) @ (binunion @ X1))) = $true)) )), 34.17/4.66 inference(binary_proxy_clausification,[],[f52])). 34.17/4.66 tff(f54,plain,( 34.17/4.66 ( ! [X2,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (sCOMB @ (bCOMB @ vIMP @ (breln1 @ X2)) @ (bCOMB @ (breln1 @ X2) @ (binunion @ X1)) @ X3 = $true)) )), 34.17/4.66 inference(pi_clausification,[],[f53])). 34.17/4.66 tff(f55,plain,( 34.17/4.66 ( ! [X2,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (vIMP @ (breln1 @ X2 @ X3) @ (breln1 @ X2 @ (binunion @ X1 @ X3)) = $true)) )), 34.17/4.66 inference(combinator_demodulation,[],[f54])). 34.17/4.66 tff(f56,plain,( 34.17/4.66 ( ! [X2,X3,X1] : ((breln1 @ X2 @ (binunion @ X1 @ X3) = $true) | (breln1 @ X2 @ X3 = $false) | (breln1 @ X2 @ X1 = $false)) )), 34.17/4.66 inference(binary_proxy_clausification,[],[f55])). 34.17/4.66 tff(f57,plain,( 34.17/4.66 ( ! [X1] : ((bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ breln1))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ breln1))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (bCOMB @ (bCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)))) @ binunion))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)))))))))))) @ X1 = $true)) )), 34.17/4.66 inference(pi_clausification,[],[f47])). 34.17/4.66 tff(f58,plain,( 34.17/4.66 ( ! [X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ breln1 @ X1)) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ breln1)) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))) @ (binunion @ X1))))) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X1)))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)))))))))))) = $true)) )), 34.17/4.66 inference(combinator_demodulation,[],[f57])). 34.17/4.66 tff(f59,plain,( 34.17/4.66 ( ! [X2,X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ breln1 @ X1)) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ breln1)) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))) @ (binunion @ X1))))) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X1)))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))))))))) @ X2 = $true)) )), 34.17/4.66 inference(pi_clausification,[],[f58])). 34.17/4.66 tff(f60,plain,( 34.17/4.66 ( ! [X2,X1] : ((vIMP @ (breln1 @ X2 @ X1) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (breln1 @ X2)) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))) @ (binunion @ X1))))) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X1)))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))))))))) = $true)) )), 34.17/4.66 inference(combinator_demodulation,[],[f59])). 34.17/4.66 tff(f61,plain,( 34.17/4.66 ( ! [X2,X1] : ((breln1 @ X2 @ X1 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (breln1 @ X2)) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))) @ (binunion @ X1))))) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X1)))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)))))))))) = $true)) )), 34.17/4.66 inference(binary_proxy_clausification,[],[f60])). 34.17/4.66 tff(f62,plain,( 34.17/4.66 ( ! [X2,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (sCOMB @ (bCOMB @ vIMP @ (breln1 @ X2)) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))) @ (binunion @ X1))))) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X1)))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))))))) @ X3 = $true)) )), 34.17/4.66 inference(pi_clausification,[],[f61])). 34.17/4.66 tff(f63,plain,( 34.17/4.66 ( ! [X2,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (vIMP @ (breln1 @ X2 @ X3) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ (binunion @ X1 @ X3)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X1))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X3))))))) = $true)) )), 34.17/4.66 inference(combinator_demodulation,[],[f62])). 34.17/4.66 tff(f64,plain,( 34.17/4.66 ( ! [X2,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X3 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ (binunion @ X1 @ X3)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X1))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X3)))))) = $true)) )), 34.17/4.66 inference(binary_proxy_clausification,[],[f63])). 34.17/4.67 tff(f65,plain,( 34.17/4.67 ( ! [X4,X2,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X3 = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ (binunion @ X1 @ X3)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X1))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X3))))) @ X4 = $true)) )), 34.17/4.67 inference(pi_clausification,[],[f64])). 34.17/4.67 tff(f66,plain,( 34.17/4.67 ( ! [X4,X2,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X3 = $false) | (vIMP @ (in @ X4 @ X2) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ in @ (kpair @ X4)) @ (binunion @ X1 @ X3))) @ (sCOMB @ (bCOMB @ vOR @ (cCOMB @ (bCOMB @ in @ (kpair @ X4)) @ X1)) @ (cCOMB @ (bCOMB @ in @ (kpair @ X4)) @ X3))))) = $true)) )), 34.17/4.67 inference(combinator_demodulation,[],[f65])). 34.17/4.67 tff(f67,plain,( 34.17/4.67 ( ! [X4,X2,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X3 = $false) | (in @ X4 @ X2 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ in @ (kpair @ X4)) @ (binunion @ X1 @ X3))) @ (sCOMB @ (bCOMB @ vOR @ (cCOMB @ (bCOMB @ in @ (kpair @ X4)) @ X1)) @ (cCOMB @ (bCOMB @ in @ (kpair @ X4)) @ X3)))) = $true)) )), 34.17/4.67 inference(binary_proxy_clausification,[],[f66])). 34.17/4.67 tff(f68,plain,( 34.17/4.67 ( ! [X4,X2,X5,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X3 = $false) | (in @ X4 @ X2 = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ in @ (kpair @ X4)) @ (binunion @ X1 @ X3))) @ (sCOMB @ (bCOMB @ vOR @ (cCOMB @ (bCOMB @ in @ (kpair @ X4)) @ X1)) @ (cCOMB @ (bCOMB @ in @ (kpair @ X4)) @ X3))) @ X5 = $true)) )), 34.17/4.67 inference(pi_clausification,[],[f67])). 34.17/4.67 tff(f69,plain,( 34.17/4.67 ( ! [X4,X2,X5,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X3 = $false) | (in @ X4 @ X2 = $false) | (vIMP @ (in @ X5 @ X2) @ (vIMP @ (in @ (kpair @ X4 @ X5) @ (binunion @ X1 @ X3)) @ (vOR @ (in @ (kpair @ X4 @ X5) @ X1) @ (in @ (kpair @ X4 @ X5) @ X3))) = $true)) )), 34.17/4.67 inference(combinator_demodulation,[],[f68])). 34.17/4.67 tff(f70,plain,( 34.17/4.67 ( ! [X4,X2,X5,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X3 = $false) | (in @ X4 @ X2 = $false) | (in @ X5 @ X2 = $false) | (vIMP @ (in @ (kpair @ X4 @ X5) @ (binunion @ X1 @ X3)) @ (vOR @ (in @ (kpair @ X4 @ X5) @ X1) @ (in @ (kpair @ X4 @ X5) @ X3)) = $true)) )), 34.17/4.67 inference(binary_proxy_clausification,[],[f69])). 34.17/4.67 tff(f71,plain,( 34.17/4.67 ( ! [X4,X2,X5,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X3 = $false) | (in @ X4 @ X2 = $false) | (in @ X5 @ X2 = $false) | (in @ (kpair @ X4 @ X5) @ (binunion @ X1 @ X3) = $false) | (vOR @ (in @ (kpair @ X4 @ X5) @ X1) @ (in @ (kpair @ X4 @ X5) @ X3) = $true)) )), 34.17/4.67 inference(binary_proxy_clausification,[],[f70])). 34.17/4.67 tff(f72,plain,( 34.17/4.67 ( ! [X4,X2,X5,X3,X1] : ((in @ (kpair @ X4 @ X5) @ (binunion @ X1 @ X3) = $false) | (breln1 @ X2 @ X3 = $false) | (in @ X4 @ X2 = $false) | (in @ X5 @ X2 = $false) | (breln1 @ X2 @ X1 = $false) | (in @ (kpair @ X4 @ X5) @ X1 = $true) | (in @ (kpair @ X4 @ X5) @ X3 = $true)) )), 34.17/4.67 inference(binary_proxy_clausification,[],[f71])). 34.17/4.67 tff(f73,plain,( 34.17/4.67 ( ! [X1] : ((bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ breln1))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ breln1))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))))) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))))) @ (bCOMB @ (bCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)))) @ binunion))))))))) @ X1 = $true)) )), 34.17/4.67 inference(pi_clausification,[],[f46])). 34.17/4.67 tff(f74,plain,( 34.17/4.67 ( ! [X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ breln1 @ X1)) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ breln1)) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)))))) @ (bCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))) @ (binunion @ X1)))))))))) = $true)) )), 34.17/4.67 inference(combinator_demodulation,[],[f73])). 34.17/4.67 tff(f75,plain,( 34.17/4.67 ( ! [X2,X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ breln1 @ X1)) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ breln1)) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)))))) @ (bCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))) @ (binunion @ X1))))))))) @ X2 = $true)) )), 34.17/4.67 inference(pi_clausification,[],[f74])). 34.17/4.67 tff(f76,plain,( 34.17/4.67 ( ! [X2,X1] : ((vIMP @ (breln1 @ X2 @ X1) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (breln1 @ X2)) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)))))) @ (bCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))) @ (binunion @ X1))))))))) = $true)) )), 34.17/4.67 inference(combinator_demodulation,[],[f75])). 34.17/4.68 tff(f77,plain,( 34.17/4.68 ( ! [X2,X1] : ((breln1 @ X2 @ X1 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (breln1 @ X2)) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)))))) @ (bCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))) @ (binunion @ X1)))))))) = $true)) )), 34.17/4.68 inference(binary_proxy_clausification,[],[f76])). 34.17/4.68 tff(f78,plain,( 34.17/4.68 ( ! [X2,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (sCOMB @ (bCOMB @ vIMP @ (breln1 @ X2)) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)))))) @ (bCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))) @ (binunion @ X1))))))) @ X3 = $true)) )), 34.17/4.68 inference(pi_clausification,[],[f77])). 34.17/4.69 tff(f79,plain,( 34.17/4.69 ( ! [X2,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (vIMP @ (breln1 @ X2 @ X3) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X3))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ (binunion @ X1 @ X3))))))) = $true)) )), 34.17/4.69 inference(combinator_demodulation,[],[f78])). 34.17/4.69 tff(f80,plain,( 34.17/4.69 ( ! [X2,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X3 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X3))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ (binunion @ X1 @ X3)))))) = $true)) )), 34.17/4.69 inference(binary_proxy_clausification,[],[f79])). 34.17/4.69 tff(f81,plain,( 34.17/4.69 ( ! [X4,X2,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X3 = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X3))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ (binunion @ X1 @ X3))))) @ X4 = $true)) )), 34.17/4.69 inference(pi_clausification,[],[f80])). 34.17/4.69 tff(f82,plain,( 34.17/4.69 ( ! [X4,X2,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X3 = $false) | (vIMP @ (in @ X4 @ X2) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ in @ (kpair @ X4)) @ X3)) @ (cCOMB @ (bCOMB @ in @ (kpair @ X4)) @ (binunion @ X1 @ X3))))) = $true)) )), 34.17/4.69 inference(combinator_demodulation,[],[f81])). 34.17/4.69 tff(f83,plain,( 34.17/4.69 ( ! [X4,X2,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X3 = $false) | (in @ X4 @ X2 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ in @ (kpair @ X4)) @ X3)) @ (cCOMB @ (bCOMB @ in @ (kpair @ X4)) @ (binunion @ X1 @ X3)))) = $true)) )), 34.17/4.69 inference(binary_proxy_clausification,[],[f82])). 34.17/4.69 tff(f84,plain,( 34.17/4.69 ( ! [X4,X2,X5,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X3 = $false) | (in @ X4 @ X2 = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ in @ (kpair @ X4)) @ X3)) @ (cCOMB @ (bCOMB @ in @ (kpair @ X4)) @ (binunion @ X1 @ X3))) @ X5 = $true)) )), 34.17/4.69 inference(pi_clausification,[],[f83])). 34.17/4.69 tff(f85,plain,( 34.17/4.69 ( ! [X4,X2,X5,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X3 = $false) | (in @ X4 @ X2 = $false) | (vIMP @ (in @ X5 @ X2) @ (vIMP @ (in @ (kpair @ X4 @ X5) @ X3) @ (in @ (kpair @ X4 @ X5) @ (binunion @ X1 @ X3))) = $true)) )), 34.17/4.69 inference(combinator_demodulation,[],[f84])). 34.17/4.69 tff(f86,plain,( 34.17/4.69 ( ! [X4,X2,X5,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X3 = $false) | (in @ X4 @ X2 = $false) | (in @ X5 @ X2 = $false) | (vIMP @ (in @ (kpair @ X4 @ X5) @ X3) @ (in @ (kpair @ X4 @ X5) @ (binunion @ X1 @ X3)) = $true)) )), 34.17/4.69 inference(binary_proxy_clausification,[],[f85])). 34.17/4.69 tff(f87,plain,( 34.17/4.69 ( ! [X4,X2,X5,X3,X1] : ((in @ (kpair @ X4 @ X5) @ (binunion @ X1 @ X3) = $true) | (breln1 @ X2 @ X3 = $false) | (in @ X4 @ X2 = $false) | (in @ X5 @ X2 = $false) | (in @ (kpair @ X4 @ X5) @ X3 = $false) | (breln1 @ X2 @ X1 = $false)) )), 34.17/4.69 inference(binary_proxy_clausification,[],[f86])). 34.17/4.69 tff(f88,plain,( 34.17/4.69 ( ! [X1] : ((bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ breln1))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ breln1))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))))) @ (bCOMB @ (bCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)))) @ binunion))))))))) @ X1 = $true)) )), 34.17/4.69 inference(pi_clausification,[],[f45])). 34.17/4.69 tff(f89,plain,( 34.17/4.69 ( ! [X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ breln1 @ X1)) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ breln1)) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X1)))) @ (bCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))) @ (binunion @ X1)))))))))) = $true)) )), 34.17/4.69 inference(combinator_demodulation,[],[f88])). 34.17/4.69 tff(f90,plain,( 34.17/4.69 ( ! [X2,X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ breln1 @ X1)) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ breln1)) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X1)))) @ (bCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))) @ (binunion @ X1))))))))) @ X2 = $true)) )), 34.17/4.69 inference(pi_clausification,[],[f89])). 34.17/4.69 tff(f91,plain,( 34.17/4.69 ( ! [X2,X1] : ((vIMP @ (breln1 @ X2 @ X1) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (breln1 @ X2)) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)))) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X1)))) @ (bCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))) @ (binunion @ X1))))))))) = $true)) )), 34.17/4.69 inference(combinator_demodulation,[],[f90])). 34.17/4.69 tff(f92,plain,( 34.17/4.69 ( ! [X2,X1] : ((breln1 @ X2 @ X1 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (breln1 @ X2)) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)))) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X1)))) @ (bCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))) @ (binunion @ X1)))))))) = $true)) )), 34.17/4.69 inference(binary_proxy_clausification,[],[f91])). 34.17/4.69 tff(f93,plain,( 34.17/4.69 ( ! [X2,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (sCOMB @ (bCOMB @ vIMP @ (breln1 @ X2)) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)))) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X1)))) @ (bCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))) @ (binunion @ X1))))))) @ X3 = $true)) )), 34.17/4.69 inference(pi_clausification,[],[f92])). 34.17/4.69 tff(f94,plain,( 34.17/4.69 ( ! [X2,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (vIMP @ (breln1 @ X2 @ X3) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X1))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ (binunion @ X1 @ X3))))))) = $true)) )), 34.17/4.69 inference(combinator_demodulation,[],[f93])). 34.17/4.69 tff(f95,plain,( 34.17/4.69 ( ! [X2,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X3 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X1))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ (binunion @ X1 @ X3)))))) = $true)) )), 34.17/4.69 inference(binary_proxy_clausification,[],[f94])). 34.17/4.69 tff(f96,plain,( 34.17/4.69 ( ! [X4,X2,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X3 = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X1))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ (binunion @ X1 @ X3))))) @ X4 = $true)) )), 34.17/4.69 inference(pi_clausification,[],[f95])). 34.17/4.69 tff(f97,plain,( 34.17/4.69 ( ! [X4,X2,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X3 = $false) | (vIMP @ (in @ X4 @ X2) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ in @ (kpair @ X4)) @ X1)) @ (cCOMB @ (bCOMB @ in @ (kpair @ X4)) @ (binunion @ X1 @ X3))))) = $true)) )), 34.17/4.69 inference(combinator_demodulation,[],[f96])). 34.17/4.69 tff(f98,plain,( 34.17/4.69 ( ! [X4,X2,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X3 = $false) | (in @ X4 @ X2 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ in @ (kpair @ X4)) @ X1)) @ (cCOMB @ (bCOMB @ in @ (kpair @ X4)) @ (binunion @ X1 @ X3)))) = $true)) )), 34.17/4.69 inference(binary_proxy_clausification,[],[f97])). 34.17/4.69 tff(f99,plain,( 34.17/4.69 ( ! [X4,X2,X5,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X3 = $false) | (in @ X4 @ X2 = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ in @ (kpair @ X4)) @ X1)) @ (cCOMB @ (bCOMB @ in @ (kpair @ X4)) @ (binunion @ X1 @ X3))) @ X5 = $true)) )), 34.17/4.69 inference(pi_clausification,[],[f98])). 34.17/4.69 tff(f100,plain,( 34.17/4.69 ( ! [X4,X2,X5,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X3 = $false) | (in @ X4 @ X2 = $false) | (vIMP @ (in @ X5 @ X2) @ (vIMP @ (in @ (kpair @ X4 @ X5) @ X1) @ (in @ (kpair @ X4 @ X5) @ (binunion @ X1 @ X3))) = $true)) )), 34.17/4.69 inference(combinator_demodulation,[],[f99])). 34.17/4.69 tff(f101,plain,( 34.17/4.69 ( ! [X4,X2,X5,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X3 = $false) | (in @ X4 @ X2 = $false) | (in @ X5 @ X2 = $false) | (vIMP @ (in @ (kpair @ X4 @ X5) @ X1) @ (in @ (kpair @ X4 @ X5) @ (binunion @ X1 @ X3)) = $true)) )), 34.17/4.69 inference(binary_proxy_clausification,[],[f100])). 34.17/4.69 tff(f102,plain,( 34.17/4.69 ( ! [X4,X2,X5,X3,X1] : ((in @ (kpair @ X4 @ X5) @ (binunion @ X1 @ X3) = $true) | (breln1 @ X2 @ X3 = $false) | (in @ X4 @ X2 = $false) | (in @ X5 @ X2 = $false) | (in @ (kpair @ X4 @ X5) @ X1 = $false) | (breln1 @ X2 @ X1 = $false)) )), 34.17/4.69 inference(binary_proxy_clausification,[],[f101])). 34.17/4.69 tff(f103,plain,( 34.17/4.69 ( ! [X1] : ((bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ breln1))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ breln1))) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))))))))) @ subset)))) @ X1 = $true)) )), 34.17/4.69 inference(pi_clausification,[],[f44])). 34.17/4.69 tff(f104,plain,( 34.17/4.69 ( ! [X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ breln1 @ X1)) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ breln1)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X1)))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)))))))))) @ (subset @ X1))))) = $true)) )), 34.17/4.69 inference(combinator_demodulation,[],[f103])). 34.17/4.69 tff(f105,plain,( 34.17/4.69 ( ! [X2,X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ breln1 @ X1)) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ breln1)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X1)))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)))))))))) @ (subset @ X1)))) @ X2 = $true)) )), 34.17/4.69 inference(pi_clausification,[],[f104])). 34.17/4.69 tff(f106,plain,( 34.17/4.69 ( ! [X2,X1] : ((vIMP @ (breln1 @ X2 @ X1) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (breln1 @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)))) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X1)))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))))))) @ (subset @ X1)))) = $true)) )), 34.17/4.69 inference(combinator_demodulation,[],[f105])). 34.17/4.69 tff(f107,plain,( 34.17/4.69 ( ! [X2,X1] : ((breln1 @ X2 @ X1 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (breln1 @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)))) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X1)))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))))))) @ (subset @ X1))) = $true)) )), 34.17/4.69 inference(binary_proxy_clausification,[],[f106])). 34.17/4.69 tff(f108,plain,( 34.17/4.69 ( ! [X2,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (sCOMB @ (bCOMB @ vIMP @ (breln1 @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)))) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X1)))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))))))) @ (subset @ X1)) @ X3 = $true)) )), 34.17/4.69 inference(pi_clausification,[],[f107])). 34.17/4.69 tff(f109,plain,( 34.17/4.69 ( ! [X2,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (vIMP @ (breln1 @ X2 @ X3) @ (vIMP @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X1))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X3)))))) @ (subset @ X1 @ X3)) = $true)) )), 34.17/4.69 inference(combinator_demodulation,[],[f108])). 34.17/4.69 tff(f110,plain,( 34.17/4.69 ( ! [X2,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X3 = $false) | (vIMP @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X1))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X3)))))) @ (subset @ X1 @ X3) = $true)) )), 34.17/4.69 inference(binary_proxy_clausification,[],[f109])). 34.17/4.69 tff(f111,plain,( 34.17/4.69 ( ! [X2,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X3 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X1))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X3))))) = $false) | (subset @ X1 @ X3 = $true)) )), 34.17/4.69 inference(binary_proxy_clausification,[],[f110])). 34.17/4.69 tff(f112,plain,( 34.17/4.69 ( ! [X2,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X3 = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X1))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)) @ X3)))) @ (sK4 @ X3 @ X2 @ X1) = $false) | (subset @ X1 @ X3 = $true)) )), 34.17/4.69 inference(sigma_clausification,[],[f111])). 34.17/4.69 tff(f113,plain,( 34.17/4.69 ( ! [X2,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X3 = $false) | (vIMP @ (in @ (sK4 @ X3 @ X2 @ X1) @ X2) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ in @ (kpair @ (sK4 @ X3 @ X2 @ X1))) @ X1)) @ (cCOMB @ (bCOMB @ in @ (kpair @ (sK4 @ X3 @ X2 @ X1))) @ X3)))) = $false) | (subset @ X1 @ X3 = $true)) )), 34.17/4.69 inference(combinator_demodulation,[],[f112])). 34.17/4.69 tff(f114,plain,( 34.17/4.69 ( ! [X2,X3,X1] : ((in @ (sK4 @ X3 @ X2 @ X1) @ X2 = $true) | (breln1 @ X2 @ X3 = $false) | (breln1 @ X2 @ X1 = $false) | (subset @ X1 @ X3 = $true)) )), 34.17/4.69 inference(binary_proxy_clausification,[],[f113])). 34.17/4.69 tff(f115,plain,( 34.17/4.69 ( ! [X2,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X3 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ in @ (kpair @ (sK4 @ X3 @ X2 @ X1))) @ X1)) @ (cCOMB @ (bCOMB @ in @ (kpair @ (sK4 @ X3 @ X2 @ X1))) @ X3))) = $false) | (subset @ X1 @ X3 = $true)) )), 34.17/4.69 inference(binary_proxy_clausification,[],[f113])). 34.17/4.69 tff(f116,plain,( 34.17/4.69 ( ! [X2,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X3 = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ in @ (kpair @ (sK4 @ X3 @ X2 @ X1))) @ X1)) @ (cCOMB @ (bCOMB @ in @ (kpair @ (sK4 @ X3 @ X2 @ X1))) @ X3)) @ (sK5 @ X3 @ X2 @ X1) = $false) | (subset @ X1 @ X3 = $true)) )), 34.17/4.69 inference(sigma_clausification,[],[f115])). 34.17/4.69 tff(f117,plain,( 34.17/4.69 ( ! [X2,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X3 = $false) | (vIMP @ (in @ (sK5 @ X3 @ X2 @ X1) @ X2) @ (vIMP @ (in @ (kpair @ (sK4 @ X3 @ X2 @ X1) @ (sK5 @ X3 @ X2 @ X1)) @ X1) @ (in @ (kpair @ (sK4 @ X3 @ X2 @ X1) @ (sK5 @ X3 @ X2 @ X1)) @ X3)) = $false) | (subset @ X1 @ X3 = $true)) )), 34.17/4.69 inference(combinator_demodulation,[],[f116])). 34.17/4.69 tff(f118,plain,( 34.17/4.69 ( ! [X2,X3,X1] : ((in @ (sK5 @ X3 @ X2 @ X1) @ X2 = $true) | (breln1 @ X2 @ X3 = $false) | (breln1 @ X2 @ X1 = $false) | (subset @ X1 @ X3 = $true)) )), 34.17/4.69 inference(binary_proxy_clausification,[],[f117])). 34.17/4.69 tff(f119,plain,( 34.17/4.69 ( ! [X2,X3,X1] : ((breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X3 = $false) | (vIMP @ (in @ (kpair @ (sK4 @ X3 @ X2 @ X1) @ (sK5 @ X3 @ X2 @ X1)) @ X1) @ (in @ (kpair @ (sK4 @ X3 @ X2 @ X1) @ (sK5 @ X3 @ X2 @ X1)) @ X3) = $false) | (subset @ X1 @ X3 = $true)) )), 34.17/4.69 inference(binary_proxy_clausification,[],[f117])). 34.17/4.69 tff(f120,plain,( 34.17/4.69 ( ! [X2,X3,X1] : ((in @ (kpair @ (sK4 @ X3 @ X2 @ X1) @ (sK5 @ X3 @ X2 @ X1)) @ X1 = $true) | (breln1 @ X2 @ X3 = $false) | (breln1 @ X2 @ X1 = $false) | (subset @ X1 @ X3 = $true)) )), 34.17/4.69 inference(binary_proxy_clausification,[],[f119])). 34.17/4.69 tff(f121,plain,( 34.17/4.69 ( ! [X2,X3,X1] : ((in @ (kpair @ (sK4 @ X3 @ X2 @ X1) @ (sK5 @ X3 @ X2 @ X1)) @ X3 = $false) | (breln1 @ X2 @ X3 = $false) | (breln1 @ X2 @ X1 = $false) | (subset @ X1 @ X3 = $true)) )), 34.17/4.69 inference(binary_proxy_clausification,[],[f119])). 34.17/4.69 tff(f122,plain,( 34.17/4.69 ( ! [X1] : ((bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ subset))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ subset)) @ (cCOMB @ vEQ('$i')))) @ X1 = $true)) )), 34.17/4.69 inference(pi_clausification,[],[f43])). 34.17/4.69 tff(f123,plain,( 34.17/4.69 ( ! [X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ subset @ X1)) @ (sCOMB @ (bCOMB @ vIMP @ (subset @ X1)) @ (cCOMB @ vEQ('$i') @ X1))) = $true)) )), 34.17/4.69 inference(combinator_demodulation,[],[f122])). 34.17/4.69 tff(f124,plain,( 34.17/4.69 ( ! [X2,X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ subset @ X1)) @ (sCOMB @ (bCOMB @ vIMP @ (subset @ X1)) @ (cCOMB @ vEQ('$i') @ X1)) @ X2 = $true)) )), 34.17/4.69 inference(pi_clausification,[],[f123])). 34.17/4.69 tff(f125,plain,( 34.17/4.69 ( ! [X2,X1] : ((vIMP @ (subset @ X2 @ X1) @ (vIMP @ (subset @ X1 @ X2) @ (vEQ('$i') @ X2 @ X1)) = $true)) )), 34.17/4.69 inference(combinator_demodulation,[],[f124])). 34.17/4.69 tff(f126,plain,( 34.17/4.69 ( ! [X2,X1] : ((subset @ X2 @ X1 = $false) | (vIMP @ (subset @ X1 @ X2) @ (vEQ('$i') @ X2 @ X1) = $true)) )), 34.17/4.69 inference(binary_proxy_clausification,[],[f125])). 34.17/4.69 tff(f127,plain,( 34.17/4.69 ( ! [X2,X1] : ((subset @ X2 @ X1 = $false) | (subset @ X1 @ X2 = $false) | (vEQ('$i') @ X2 @ X1 = $true)) )), 34.17/4.69 inference(binary_proxy_clausification,[],[f126])). 34.17/4.69 tff(f128,plain,( 34.17/4.69 ( ! [X2,X1] : ((subset @ X2 @ X1 = $false) | (subset @ X1 @ X2 = $false) | X1 = X2) )), 34.17/4.69 inference(equality_proxy_clausification,[],[f127])). 34.17/4.69 tff(f140,plain,( 34.17/4.69 ( ! [X6,X4,X2,X5,X3] : (($false = $true) | (breln1 @ X6 @ X3 = $false) | (in @ (sK4 @ (binunion @ X2 @ X3) @ X4 @ X5) @ X6 = $false) | (in @ (sK5 @ (binunion @ X2 @ X3) @ X4 @ X5) @ X6 = $false) | (in @ (kpair @ (sK4 @ (binunion @ X2 @ X3) @ X4 @ X5) @ (sK5 @ (binunion @ X2 @ X3) @ X4 @ X5)) @ X3 = $false) | (breln1 @ X6 @ X2 = $false) | (breln1 @ X4 @ (binunion @ X2 @ X3) = $false) | (breln1 @ X4 @ X5 = $false) | (subset @ X5 @ (binunion @ X2 @ X3) = $true)) )), 34.17/4.69 inference(superposition,[],[f87,f121])). 34.17/4.69 tff(f141,plain,( 34.17/4.69 ( ! [X6,X4,X2,X5,X3] : ((in @ (kpair @ (sK4 @ (binunion @ X2 @ X3) @ X4 @ X5) @ (sK5 @ (binunion @ X2 @ X3) @ X4 @ X5)) @ X3 = $false) | (in @ (sK4 @ (binunion @ X2 @ X3) @ X4 @ X5) @ X6 = $false) | (in @ (sK5 @ (binunion @ X2 @ X3) @ X4 @ X5) @ X6 = $false) | (breln1 @ X6 @ X3 = $false) | (breln1 @ X6 @ X2 = $false) | (breln1 @ X4 @ (binunion @ X2 @ X3) = $false) | (breln1 @ X4 @ X5 = $false) | (subset @ X5 @ (binunion @ X2 @ X3) = $true)) )), 34.17/4.69 inference(trivial_inequality_removal,[],[f140])). 34.17/4.69 tff(f167,plain,( 34.17/4.69 ( ! [X12,X10,X8,X11,X9] : (($false = $true) | (breln1 @ X10 @ (binunion @ X8 @ X9) = $false) | (breln1 @ X10 @ X11 = $false) | (subset @ X11 @ (binunion @ X8 @ X9) = $true) | (breln1 @ X12 @ X9 = $false) | (in @ (sK4 @ (binunion @ X8 @ X9) @ X10 @ X11) @ X12 = $false) | (in @ (sK5 @ (binunion @ X8 @ X9) @ X10 @ X11) @ X12 = $false) | (in @ (kpair @ (sK4 @ (binunion @ X8 @ X9) @ X10 @ X11) @ (sK5 @ (binunion @ X8 @ X9) @ X10 @ X11)) @ X8 = $false) | (breln1 @ X12 @ X8 = $false)) )), 34.17/4.69 inference(superposition,[],[f121,f102])). 34.17/4.69 tff(f168,plain,( 34.17/4.69 ( ! [X12,X10,X8,X11,X9] : ((in @ (kpair @ (sK4 @ (binunion @ X8 @ X9) @ X10 @ X11) @ (sK5 @ (binunion @ X8 @ X9) @ X10 @ X11)) @ X8 = $false) | (breln1 @ X10 @ X11 = $false) | (subset @ X11 @ (binunion @ X8 @ X9) = $true) | (breln1 @ X12 @ X9 = $false) | (in @ (sK4 @ (binunion @ X8 @ X9) @ X10 @ X11) @ X12 = $false) | (in @ (sK5 @ (binunion @ X8 @ X9) @ X10 @ X11) @ X12 = $false) | (breln1 @ X10 @ (binunion @ X8 @ X9) = $false) | (breln1 @ X12 @ X8 = $false)) )), 34.17/4.69 inference(trivial_inequality_removal,[],[f167])). 34.17/4.69 tff(f178,plain,( 34.17/4.69 ( ! [X14,X12,X15,X13,X16] : (($false = $true) | (breln1 @ X13 @ X12 = $false) | (breln1 @ X13 @ (binunion @ X14 @ X15) = $false) | (subset @ (binunion @ X14 @ X15) @ X12 = $true) | (breln1 @ X16 @ X15 = $false) | (in @ (sK4 @ X12 @ X13 @ (binunion @ X14 @ X15)) @ X16 = $false) | (in @ (sK5 @ X12 @ X13 @ (binunion @ X14 @ X15)) @ X16 = $false) | (breln1 @ X16 @ X14 = $false) | (in @ (kpair @ (sK4 @ X12 @ X13 @ (binunion @ X14 @ X15)) @ (sK5 @ X12 @ X13 @ (binunion @ X14 @ X15))) @ X14 = $true) | (in @ (kpair @ (sK4 @ X12 @ X13 @ (binunion @ X14 @ X15)) @ (sK5 @ X12 @ X13 @ (binunion @ X14 @ X15))) @ X15 = $true)) )), 34.17/4.69 inference(superposition,[],[f120,f72])). 34.17/4.69 tff(f179,plain,( 34.17/4.69 ( ! [X14,X12,X15,X13,X16] : ((in @ (kpair @ (sK4 @ X12 @ X13 @ (binunion @ X14 @ X15)) @ (sK5 @ X12 @ X13 @ (binunion @ X14 @ X15))) @ X15 = $true) | (breln1 @ X13 @ (binunion @ X14 @ X15) = $false) | (subset @ (binunion @ X14 @ X15) @ X12 = $true) | (breln1 @ X16 @ X15 = $false) | (in @ (sK4 @ X12 @ X13 @ (binunion @ X14 @ X15)) @ X16 = $false) | (in @ (sK5 @ X12 @ X13 @ (binunion @ X14 @ X15)) @ X16 = $false) | (breln1 @ X16 @ X14 = $false) | (in @ (kpair @ (sK4 @ X12 @ X13 @ (binunion @ X14 @ X15)) @ (sK5 @ X12 @ X13 @ (binunion @ X14 @ X15))) @ X14 = $true) | (breln1 @ X13 @ X12 = $false)) )), 34.17/4.69 inference(trivial_inequality_removal,[],[f178])). 34.17/4.69 tff(f318,plain,( 34.17/4.69 ( ! [X6,X4,X8,X7,X5,X9] : (($false = $true) | (breln1 @ X6 @ (binunion @ X7 @ X4) = $false) | (subset @ (binunion @ X7 @ X4) @ (binunion @ X4 @ X5) = $true) | (breln1 @ X8 @ X5 = $false) | (in @ (sK4 @ (binunion @ X4 @ X5) @ X6 @ (binunion @ X7 @ X4)) @ X8 = $false) | (in @ (sK5 @ (binunion @ X4 @ X5) @ X6 @ (binunion @ X7 @ X4)) @ X8 = $false) | (breln1 @ X6 @ (binunion @ X4 @ X5) = $false) | (breln1 @ X8 @ X4 = $false) | (breln1 @ X6 @ (binunion @ X7 @ X4) = $false) | (subset @ (binunion @ X7 @ X4) @ (binunion @ X4 @ X5) = $true) | (breln1 @ X9 @ X4 = $false) | (in @ (sK4 @ (binunion @ X4 @ X5) @ X6 @ (binunion @ X7 @ X4)) @ X9 = $false) | (in @ (sK5 @ (binunion @ X4 @ X5) @ X6 @ (binunion @ X7 @ X4)) @ X9 = $false) | (breln1 @ X9 @ X7 = $false) | (in @ (kpair @ (sK4 @ (binunion @ X4 @ X5) @ X6 @ (binunion @ X7 @ X4)) @ (sK5 @ (binunion @ X4 @ X5) @ X6 @ (binunion @ X7 @ X4))) @ X7 = $true) | (breln1 @ X6 @ (binunion @ X4 @ X5) = $false)) )), 34.17/4.69 inference(superposition,[],[f168,f179])). 34.17/4.69 tff(f327,plain,( 34.17/4.69 ( ! [X6,X4,X8,X7,X5,X9] : (($false = $true) | (breln1 @ X6 @ (binunion @ X7 @ X4) = $false) | (subset @ (binunion @ X7 @ X4) @ (binunion @ X4 @ X5) = $true) | (breln1 @ X8 @ X5 = $false) | (in @ (sK4 @ (binunion @ X4 @ X5) @ X6 @ (binunion @ X7 @ X4)) @ X8 = $false) | (in @ (sK5 @ (binunion @ X4 @ X5) @ X6 @ (binunion @ X7 @ X4)) @ X8 = $false) | (breln1 @ X6 @ (binunion @ X4 @ X5) = $false) | (breln1 @ X8 @ X4 = $false) | (breln1 @ X9 @ X4 = $false) | (in @ (sK4 @ (binunion @ X4 @ X5) @ X6 @ (binunion @ X7 @ X4)) @ X9 = $false) | (in @ (sK5 @ (binunion @ X4 @ X5) @ X6 @ (binunion @ X7 @ X4)) @ X9 = $false) | (breln1 @ X9 @ X7 = $false) | (in @ (kpair @ (sK4 @ (binunion @ X4 @ X5) @ X6 @ (binunion @ X7 @ X4)) @ (sK5 @ (binunion @ X4 @ X5) @ X6 @ (binunion @ X7 @ X4))) @ X7 = $true)) )), 34.17/4.69 inference(duplicate_literal_removal,[],[f318])). 34.17/4.69 tff(f328,plain,( 34.17/4.69 ( ! [X6,X4,X8,X7,X5,X9] : ((in @ (kpair @ (sK4 @ (binunion @ X4 @ X5) @ X6 @ (binunion @ X7 @ X4)) @ (sK5 @ (binunion @ X4 @ X5) @ X6 @ (binunion @ X7 @ X4))) @ X7 = $true) | (subset @ (binunion @ X7 @ X4) @ (binunion @ X4 @ X5) = $true) | (breln1 @ X8 @ X5 = $false) | (in @ (sK4 @ (binunion @ X4 @ X5) @ X6 @ (binunion @ X7 @ X4)) @ X8 = $false) | (in @ (sK5 @ (binunion @ X4 @ X5) @ X6 @ (binunion @ X7 @ X4)) @ X8 = $false) | (breln1 @ X6 @ (binunion @ X4 @ X5) = $false) | (breln1 @ X8 @ X4 = $false) | (breln1 @ X9 @ X4 = $false) | (in @ (sK4 @ (binunion @ X4 @ X5) @ X6 @ (binunion @ X7 @ X4)) @ X9 = $false) | (in @ (sK5 @ (binunion @ X4 @ X5) @ X6 @ (binunion @ X7 @ X4)) @ X9 = $false) | (breln1 @ X9 @ X7 = $false) | (breln1 @ X6 @ (binunion @ X7 @ X4) = $false)) )), 34.17/4.69 inference(trivial_inequality_removal,[],[f327])). 34.17/4.69 tff(f790,plain,( 34.17/4.69 ( ! [X14,X12,X15,X13,X11,X16] : (($false = $true) | (in @ (sK4 @ (binunion @ X11 @ X12) @ X13 @ (binunion @ X12 @ X11)) @ X14 = $false) | (in @ (sK5 @ (binunion @ X11 @ X12) @ X13 @ (binunion @ X12 @ X11)) @ X14 = $false) | (breln1 @ X14 @ X12 = $false) | (breln1 @ X14 @ X11 = $false) | (breln1 @ X13 @ (binunion @ X11 @ X12) = $false) | (breln1 @ X13 @ (binunion @ X12 @ X11) = $false) | (subset @ (binunion @ X12 @ X11) @ (binunion @ X11 @ X12) = $true) | (subset @ (binunion @ X12 @ X11) @ (binunion @ X11 @ X12) = $true) | (breln1 @ X15 @ X12 = $false) | (in @ (sK4 @ (binunion @ X11 @ X12) @ X13 @ (binunion @ X12 @ X11)) @ X15 = $false) | (in @ (sK5 @ (binunion @ X11 @ X12) @ X13 @ (binunion @ X12 @ X11)) @ X15 = $false) | (breln1 @ X13 @ (binunion @ X11 @ X12) = $false) | (breln1 @ X15 @ X11 = $false) | (breln1 @ X16 @ X11 = $false) | (in @ (sK4 @ (binunion @ X11 @ X12) @ X13 @ (binunion @ X12 @ X11)) @ X16 = $false) | (in @ (sK5 @ (binunion @ X11 @ X12) @ X13 @ (binunion @ X12 @ X11)) @ X16 = $false) | (breln1 @ X16 @ X12 = $false) | (breln1 @ X13 @ (binunion @ X12 @ X11) = $false)) )), 34.17/4.69 inference(superposition,[],[f141,f328])). 34.17/4.69 tff(f793,plain,( 34.17/4.69 ( ! [X14,X12,X15,X13,X11,X16] : (($false = $true) | (in @ (sK4 @ (binunion @ X11 @ X12) @ X13 @ (binunion @ X12 @ X11)) @ X14 = $false) | (in @ (sK5 @ (binunion @ X11 @ X12) @ X13 @ (binunion @ X12 @ X11)) @ X14 = $false) | (breln1 @ X14 @ X12 = $false) | (breln1 @ X14 @ X11 = $false) | (breln1 @ X13 @ (binunion @ X11 @ X12) = $false) | (breln1 @ X13 @ (binunion @ X12 @ X11) = $false) | (subset @ (binunion @ X12 @ X11) @ (binunion @ X11 @ X12) = $true) | (breln1 @ X15 @ X12 = $false) | (in @ (sK4 @ (binunion @ X11 @ X12) @ X13 @ (binunion @ X12 @ X11)) @ X15 = $false) | (in @ (sK5 @ (binunion @ X11 @ X12) @ X13 @ (binunion @ X12 @ X11)) @ X15 = $false) | (breln1 @ X15 @ X11 = $false) | (breln1 @ X16 @ X11 = $false) | (in @ (sK4 @ (binunion @ X11 @ X12) @ X13 @ (binunion @ X12 @ X11)) @ X16 = $false) | (in @ (sK5 @ (binunion @ X11 @ X12) @ X13 @ (binunion @ X12 @ X11)) @ X16 = $false) | (breln1 @ X16 @ X12 = $false)) )), 34.17/4.69 inference(duplicate_literal_removal,[],[f790])). 34.17/4.69 tff(f794,plain,( 34.17/4.69 ( ! [X14,X12,X15,X13,X11,X16] : ((in @ (sK4 @ (binunion @ X11 @ X12) @ X13 @ (binunion @ X12 @ X11)) @ X14 = $false) | (in @ (sK5 @ (binunion @ X11 @ X12) @ X13 @ (binunion @ X12 @ X11)) @ X14 = $false) | (breln1 @ X14 @ X12 = $false) | (breln1 @ X14 @ X11 = $false) | (breln1 @ X13 @ (binunion @ X11 @ X12) = $false) | (breln1 @ X13 @ (binunion @ X12 @ X11) = $false) | (subset @ (binunion @ X12 @ X11) @ (binunion @ X11 @ X12) = $true) | (breln1 @ X15 @ X12 = $false) | (in @ (sK4 @ (binunion @ X11 @ X12) @ X13 @ (binunion @ X12 @ X11)) @ X15 = $false) | (in @ (sK5 @ (binunion @ X11 @ X12) @ X13 @ (binunion @ X12 @ X11)) @ X15 = $false) | (breln1 @ X15 @ X11 = $false) | (breln1 @ X16 @ X11 = $false) | (in @ (sK4 @ (binunion @ X11 @ X12) @ X13 @ (binunion @ X12 @ X11)) @ X16 = $false) | (in @ (sK5 @ (binunion @ X11 @ X12) @ X13 @ (binunion @ X12 @ X11)) @ X16 = $false) | (breln1 @ X16 @ X12 = $false)) )), 34.17/4.69 inference(trivial_inequality_removal,[],[f793])). 34.17/4.69 tff(f795,plain,( 34.17/4.69 ( ! [X4,X2,X0,X3,X1] : ((in @ (sK4 @ (binunion @ X0 @ X1) @ X2 @ (binunion @ X1 @ X0)) @ X3 = $false) | (in @ (sK5 @ (binunion @ X0 @ X1) @ X2 @ (binunion @ X1 @ X0)) @ X3 = $false) | (breln1 @ X3 @ X1 = $false) | (breln1 @ X3 @ X0 = $false) | (breln1 @ X2 @ (binunion @ X0 @ X1) = $false) | (breln1 @ X2 @ (binunion @ X1 @ X0) = $false) | (subset @ (binunion @ X1 @ X0) @ (binunion @ X0 @ X1) = $true) | (breln1 @ X3 @ X1 = $false) | (in @ (sK5 @ (binunion @ X0 @ X1) @ X2 @ (binunion @ X1 @ X0)) @ X3 = $false) | (breln1 @ X3 @ X0 = $false) | (breln1 @ X4 @ X0 = $false) | (in @ (sK4 @ (binunion @ X0 @ X1) @ X2 @ (binunion @ X1 @ X0)) @ X4 = $false) | (in @ (sK5 @ (binunion @ X0 @ X1) @ X2 @ (binunion @ X1 @ X0)) @ X4 = $false) | (breln1 @ X4 @ X1 = $false)) )), 34.17/4.69 inference(condensation,[],[f794])). 34.17/4.69 tff(f796,plain,( 34.17/4.69 ( ! [X4,X2,X0,X3,X1] : ((in @ (sK4 @ (binunion @ X0 @ X1) @ X2 @ (binunion @ X1 @ X0)) @ X3 = $false) | (in @ (sK5 @ (binunion @ X0 @ X1) @ X2 @ (binunion @ X1 @ X0)) @ X3 = $false) | (breln1 @ X3 @ X1 = $false) | (breln1 @ X3 @ X0 = $false) | (breln1 @ X2 @ (binunion @ X0 @ X1) = $false) | (breln1 @ X2 @ (binunion @ X1 @ X0) = $false) | (subset @ (binunion @ X1 @ X0) @ (binunion @ X0 @ X1) = $true) | (breln1 @ X4 @ X0 = $false) | (in @ (sK4 @ (binunion @ X0 @ X1) @ X2 @ (binunion @ X1 @ X0)) @ X4 = $false) | (in @ (sK5 @ (binunion @ X0 @ X1) @ X2 @ (binunion @ X1 @ X0)) @ X4 = $false) | (breln1 @ X4 @ X1 = $false)) )), 34.17/4.69 inference(duplicate_literal_removal,[],[f795])). 34.17/4.69 tff(f797,plain,( 34.17/4.69 ( ! [X2,X0,X3,X1] : ((in @ (sK4 @ (binunion @ X0 @ X1) @ X2 @ (binunion @ X1 @ X0)) @ X3 = $false) | (in @ (sK5 @ (binunion @ X0 @ X1) @ X2 @ (binunion @ X1 @ X0)) @ X3 = $false) | (breln1 @ X3 @ X1 = $false) | (breln1 @ X3 @ X0 = $false) | (breln1 @ X2 @ (binunion @ X0 @ X1) = $false) | (breln1 @ X2 @ (binunion @ X1 @ X0) = $false) | (subset @ (binunion @ X1 @ X0) @ (binunion @ X0 @ X1) = $true) | (breln1 @ X3 @ X0 = $false) | (in @ (sK5 @ (binunion @ X0 @ X1) @ X2 @ (binunion @ X1 @ X0)) @ X3 = $false) | (breln1 @ X3 @ X1 = $false)) )), 34.17/4.69 inference(condensation,[],[f796])). 34.17/4.69 tff(f798,plain,( 34.17/4.69 ( ! [X2,X0,X3,X1] : ((in @ (sK5 @ (binunion @ X0 @ X1) @ X2 @ (binunion @ X1 @ X0)) @ X3 = $false) | (in @ (sK4 @ (binunion @ X0 @ X1) @ X2 @ (binunion @ X1 @ X0)) @ X3 = $false) | (breln1 @ X3 @ X1 = $false) | (breln1 @ X3 @ X0 = $false) | (breln1 @ X2 @ (binunion @ X0 @ X1) = $false) | (breln1 @ X2 @ (binunion @ X1 @ X0) = $false) | (subset @ (binunion @ X1 @ X0) @ (binunion @ X0 @ X1) = $true)) )), 34.17/4.69 inference(duplicate_literal_removal,[],[f797])). 34.17/4.69 tff(f1278,plain,( 34.17/4.69 ( ! [X2,X0,X1] : (($false = $true) | (breln1 @ X2 @ (binunion @ X0 @ X1) = $false) | (breln1 @ X2 @ (binunion @ X1 @ X0) = $false) | (subset @ (binunion @ X1 @ X0) @ (binunion @ X0 @ X1) = $true) | (in @ (sK4 @ (binunion @ X0 @ X1) @ X2 @ (binunion @ X1 @ X0)) @ X2 = $false) | (breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X0 = $false) | (breln1 @ X2 @ (binunion @ X0 @ X1) = $false) | (breln1 @ X2 @ (binunion @ X1 @ X0) = $false) | (subset @ (binunion @ X1 @ X0) @ (binunion @ X0 @ X1) = $true)) )), 34.17/4.69 inference(superposition,[],[f118,f798])). 34.17/4.69 tff(f1279,plain,( 34.17/4.69 ( ! [X2,X0,X1] : (($false = $true) | (breln1 @ X2 @ (binunion @ X0 @ X1) = $false) | (breln1 @ X2 @ (binunion @ X1 @ X0) = $false) | (subset @ (binunion @ X1 @ X0) @ (binunion @ X0 @ X1) = $true) | (in @ (sK4 @ (binunion @ X0 @ X1) @ X2 @ (binunion @ X1 @ X0)) @ X2 = $false) | (breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X0 = $false)) )), 34.17/4.69 inference(duplicate_literal_removal,[],[f1278])). 34.17/4.69 tff(f1280,plain,( 34.17/4.69 ( ! [X2,X0,X1] : ((in @ (sK4 @ (binunion @ X0 @ X1) @ X2 @ (binunion @ X1 @ X0)) @ X2 = $false) | (breln1 @ X2 @ (binunion @ X1 @ X0) = $false) | (subset @ (binunion @ X1 @ X0) @ (binunion @ X0 @ X1) = $true) | (breln1 @ X2 @ (binunion @ X0 @ X1) = $false) | (breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X0 = $false)) )), 34.17/4.69 inference(trivial_inequality_removal,[],[f1279])). 34.17/4.69 tff(f1296,plain,( 34.17/4.69 ( ! [X2,X0,X1] : (($false = $true) | (breln1 @ X2 @ (binunion @ X0 @ X1) = $false) | (breln1 @ X2 @ (binunion @ X1 @ X0) = $false) | (subset @ (binunion @ X1 @ X0) @ (binunion @ X0 @ X1) = $true) | (breln1 @ X2 @ (binunion @ X1 @ X0) = $false) | (subset @ (binunion @ X1 @ X0) @ (binunion @ X0 @ X1) = $true) | (breln1 @ X2 @ (binunion @ X0 @ X1) = $false) | (breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X0 = $false)) )), 34.17/4.69 inference(superposition,[],[f114,f1280])). 34.17/4.69 tff(f1297,plain,( 34.17/4.69 ( ! [X2,X0,X1] : (($false = $true) | (breln1 @ X2 @ (binunion @ X0 @ X1) = $false) | (breln1 @ X2 @ (binunion @ X1 @ X0) = $false) | (subset @ (binunion @ X1 @ X0) @ (binunion @ X0 @ X1) = $true) | (breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X0 = $false)) )), 34.17/4.69 inference(duplicate_literal_removal,[],[f1296])). 34.17/4.69 tff(f1298,plain,( 34.17/4.69 ( ! [X2,X0,X1] : ((subset @ (binunion @ X1 @ X0) @ (binunion @ X0 @ X1) = $true) | (breln1 @ X2 @ (binunion @ X1 @ X0) = $false) | (breln1 @ X2 @ (binunion @ X0 @ X1) = $false) | (breln1 @ X2 @ X1 = $false) | (breln1 @ X2 @ X0 = $false)) )), 34.17/4.69 inference(trivial_inequality_removal,[],[f1297])). 34.17/4.69 tff(f1319,plain,( 34.17/4.69 ( ! [X6,X7,X5] : (($false = $true) | (subset @ (binunion @ X6 @ X5) @ (binunion @ X5 @ X6) = $false) | binunion @ X5 @ X6 = binunion @ X6 @ X5 | (breln1 @ X7 @ (binunion @ X5 @ X6) = $false) | (breln1 @ X7 @ (binunion @ X6 @ X5) = $false) | (breln1 @ X7 @ X5 = $false) | (breln1 @ X7 @ X6 = $false)) )), 34.17/4.69 inference(superposition,[],[f128,f1298])). 34.17/4.69 tff(f1320,plain,( 34.17/4.69 ( ! [X6,X7,X5] : ((subset @ (binunion @ X6 @ X5) @ (binunion @ X5 @ X6) = $false) | binunion @ X5 @ X6 = binunion @ X6 @ X5 | (breln1 @ X7 @ (binunion @ X5 @ X6) = $false) | (breln1 @ X7 @ (binunion @ X6 @ X5) = $false) | (breln1 @ X7 @ X5 = $false) | (breln1 @ X7 @ X6 = $false)) )), 34.17/4.69 inference(trivial_inequality_removal,[],[f1319])). 34.17/4.69 tff(f1339,plain,( 34.17/4.69 ( ! [X6,X4,X7,X5] : (($false = $true) | (breln1 @ X6 @ (binunion @ X4 @ X5) = $false) | (breln1 @ X6 @ (binunion @ X5 @ X4) = $false) | (breln1 @ X6 @ X4 = $false) | (breln1 @ X6 @ X5 = $false) | binunion @ X4 @ X5 = binunion @ X5 @ X4 | (breln1 @ X7 @ (binunion @ X5 @ X4) = $false) | (breln1 @ X7 @ (binunion @ X4 @ X5) = $false) | (breln1 @ X7 @ X5 = $false) | (breln1 @ X7 @ X4 = $false)) )), 34.17/4.69 inference(superposition,[],[f1298,f1320])). 34.17/4.69 tff(f1342,plain,( 34.17/4.69 ( ! [X6,X4,X7,X5] : ((breln1 @ X6 @ (binunion @ X4 @ X5) = $false) | (breln1 @ X6 @ (binunion @ X5 @ X4) = $false) | (breln1 @ X6 @ X4 = $false) | (breln1 @ X6 @ X5 = $false) | binunion @ X4 @ X5 = binunion @ X5 @ X4 | (breln1 @ X7 @ (binunion @ X5 @ X4) = $false) | (breln1 @ X7 @ (binunion @ X4 @ X5) = $false) | (breln1 @ X7 @ X5 = $false) | (breln1 @ X7 @ X4 = $false)) )), 34.17/4.69 inference(trivial_inequality_removal,[],[f1339])). 34.17/4.69 tff(f1343,plain,( 34.17/4.69 ( ! [X2,X0,X1] : ((breln1 @ X0 @ (binunion @ X1 @ X2) = $false) | (breln1 @ X0 @ (binunion @ X2 @ X1) = $false) | (breln1 @ X0 @ X1 = $false) | (breln1 @ X0 @ X2 = $false) | binunion @ X1 @ X2 = binunion @ X2 @ X1 | (breln1 @ X0 @ (binunion @ X2 @ X1) = $false) | (breln1 @ X0 @ X2 = $false) | (breln1 @ X0 @ X1 = $false)) )), 34.17/4.69 inference(condensation,[],[f1342])). 34.17/4.69 tff(f1344,plain,( 34.17/4.69 ( ! [X2,X0,X1] : ((breln1 @ X0 @ (binunion @ X2 @ X1) = $false) | (breln1 @ X0 @ (binunion @ X1 @ X2) = $false) | (breln1 @ X0 @ X1 = $false) | (breln1 @ X0 @ X2 = $false) | binunion @ X1 @ X2 = binunion @ X2 @ X1) )), 34.17/4.69 inference(duplicate_literal_removal,[],[f1343])). 34.17/4.70 tff(f1355,plain,( 34.17/4.70 ( ! [X12,X10,X11] : (($false = $true) | (breln1 @ X10 @ X12 = $false) | (breln1 @ X10 @ X11 = $false) | (breln1 @ X10 @ (binunion @ X12 @ X11) = $false) | (breln1 @ X10 @ X12 = $false) | (breln1 @ X10 @ X11 = $false) | binunion @ X11 @ X12 = binunion @ X12 @ X11) )), 34.17/4.70 inference(superposition,[],[f56,f1344])). 34.17/4.70 tff(f1359,plain,( 34.17/4.70 ( ! [X12,X10,X11] : (($false = $true) | (breln1 @ X10 @ X12 = $false) | (breln1 @ X10 @ X11 = $false) | (breln1 @ X10 @ (binunion @ X12 @ X11) = $false) | binunion @ X11 @ X12 = binunion @ X12 @ X11) )), 34.17/4.70 inference(duplicate_literal_removal,[],[f1355])). 34.47/4.71 tff(f1360,plain,( 34.47/4.71 ( ! [X12,X10,X11] : ((breln1 @ X10 @ (binunion @ X12 @ X11) = $false) | (breln1 @ X10 @ X11 = $false) | (breln1 @ X10 @ X12 = $false) | binunion @ X11 @ X12 = binunion @ X12 @ X11) )), 34.47/4.71 inference(trivial_inequality_removal,[],[f1359])). 34.47/4.71 tff(f1376,plain,( 34.47/4.71 ( ! [X14,X15,X13] : (($false = $true) | (breln1 @ X13 @ X15 = $false) | (breln1 @ X13 @ X14 = $false) | (breln1 @ X13 @ X15 = $false) | (breln1 @ X13 @ X14 = $false) | binunion @ X14 @ X15 = binunion @ X15 @ X14) )), 34.47/4.71 inference(superposition,[],[f56,f1360])). 34.47/4.71 tff(f1378,plain,( 34.47/4.71 ( ! [X14,X15,X13] : (($false = $true) | (breln1 @ X13 @ X15 = $false) | (breln1 @ X13 @ X14 = $false) | binunion @ X14 @ X15 = binunion @ X15 @ X14) )), 34.47/4.71 inference(duplicate_literal_removal,[],[f1376])). 34.47/4.71 tff(f1379,plain,( 34.47/4.71 ( ! [X14,X15,X13] : (binunion @ X14 @ X15 = binunion @ X15 @ X14 | (breln1 @ X13 @ X14 = $false) | (breln1 @ X13 @ X15 = $false)) )), 34.47/4.71 inference(trivial_inequality_removal,[],[f1378])). 34.47/4.71 tff(f1489,plain,( 34.47/4.71 ( ! [X296] : (binunion @ sK1 @ sK2 != binunion @ sK1 @ sK2 | (breln1 @ X296 @ sK1 = $false) | (breln1 @ X296 @ sK2 = $false)) )), 34.47/4.71 inference(superposition,[],[f36,f1379])). 34.47/4.71 tff(f1490,plain,( 34.47/4.71 ( ! [X296] : ((breln1 @ X296 @ sK2 = $false) | (breln1 @ X296 @ sK1 = $false)) )), 34.47/4.71 inference(trivial_inequality_removal,[],[f1489])). 34.47/4.71 tff(f1696,plain,( 34.47/4.71 ($false = $true) | (breln1 @ sK0 @ sK1 = $false)), 34.47/4.71 inference(superposition,[],[f35,f1490])). 34.47/4.71 tff(f1699,plain,( 34.47/4.71 (breln1 @ sK0 @ sK1 = $false)), 34.47/4.71 inference(trivial_inequality_removal,[],[f1696])). 34.47/4.71 tff(f1702,plain,( 34.47/4.71 ($false = $true)), 34.47/4.71 inference(backward_demodulation,[],[f1699,f34])). 34.47/4.71 tff(f1707,plain,( 34.47/4.71 $false), 34.47/4.71 inference(trivial_inequality_removal,[],[f1702])). 34.47/4.71 % SZS output end Proof for theBenchmark 34.47/4.71 % (29726)------------------------------ 34.47/4.71 % (29726)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 34.47/4.71 % (29726)Termination reason: Refutation 34.47/4.71 34.47/4.71 % (29726)Memory used [KB]: 7931 34.47/4.71 % (29726)Time elapsed: 0.822 s 34.47/4.71 % (29726)------------------------------ 34.47/4.71 % (29726)------------------------------ 34.47/4.71 % (29661)Success in time 4.35 s 34.47/4.72 EOF