0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : run_vampire %s %d 0.12/0.33 % Computer : n027.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Thu Jul 2 07:15:17 EDT 2020 0.12/0.34 % CPUTime : 0.19/0.38 % (11124)lrs+1010_8_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark 0.19/0.38 % (11125)ott+1002_8:1_add=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:bs=unit_only:fsr=off:gs=on:gsem=off:nm=32:nwc=10:sp=occurrence:urr=on:updr=off_14 on theBenchmark 0.19/0.39 % (11122)lrs+1011_8_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_3 on theBenchmark 0.19/0.39 % (11148)dis+1002_4_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=1.0:anc=none:cond=fast:fde=none:gs=on:gsaa=full_model:lma=on:lwlo=on:nm=0:nwc=1.5:sp=reverse_arity:tha=off_300 on theBenchmark 0.19/0.39 % (11121)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_2 on theBenchmark 0.19/0.39 % (11144)lrs+1011_5_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=1000:afq=1.2:anc=none:fsr=off:irw=on:lma=on:nm=64:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:sp=reverse_arity:urr=on:updr=off_130 on theBenchmark 0.19/0.39 % (11137)lrs+1011_5:1_acc=on:csup=on:inj=on:e2e=on:prag=on:foolp=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off_30 on theBenchmark 0.19/0.39 % (11126)lrs+1011_5:1_acc=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off_3 on theBenchmark 0.19/0.40 % (11140)lrs+10_12_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.4:amm=sco:anc=none:cond=on:lma=on:nm=64:nwc=1.3:stl=30:sac=on:urr=on_41 on theBenchmark 0.19/0.40 % (11145)lrs+1010_8_add=off:afp=100000:csup=on:inj=off:foolp=on:chr=off:e2e=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark 0.19/0.40 % (11120)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_2 on theBenchmark 0.19/0.40 % (11136)lrs+1010_3:2_afr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:anc=none:gsp=input_only:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1.7:sac=on:sp=occurrence_300 on theBenchmark 0.19/0.40 % (11132)dis+1002_6_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off_2 on theBenchmark 0.19/0.40 % (11123)dis+10_128_acc=on:add=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_2 on theBenchmark 0.19/0.41 % (11139)dis+1002_3:1_acc=model:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=40000:afq=1.1:anc=none:ccuc=first:fsr=off:gsp=input_only:irw=on:nm=16:nwc=1:sos=all_8 on theBenchmark 0.19/0.41 % (11147)lrs-11_4:1_afp=4000:csup=on:inj=on:mXXn=1:foolp=on:e2e=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_186 on theBenchmark 0.19/0.41 % (11130)dis+10_128_acc=on:add=off:add=off:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_40 on theBenchmark 0.19/0.41 % (11143)lrs+1002_1_add=large:csup=on:inj=on:fe=off:chr=on:foolp=on:cnfonf=eager:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off_50 on theBenchmark 0.19/0.41 % (11138)ott+11_20_afr=on:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=sco:anc=all:bsr=on:irw=on:lma=on:nm=4:nwc=1.2:sac=on:sp=occurrence_6 on theBenchmark 0.19/0.41 % (11142)dis+10_4_av=off:bsr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:cond=fast:er=filter:fde=none:gsp=input_only:lcm=reverse:lma=on:nwc=4:sp=occurrence:urr=on_8 on theBenchmark 0.19/0.42 % (11131)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on_2 on theBenchmark 0.19/0.42 % (11135)ott+2_2_afp=10000:afq=1.4:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=off:anc=none:gsp=input_only:gs=on:gsem=off:irw=on:lcm=predicate:nm=32:nwc=1.5:sos=on:sp=reverse_arity_7 on theBenchmark 0.19/0.42 % (11134)lrs+1002_1_av=off:er=filter:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:fsr=off:gs=on:gsem=off:irw=on:lma=on:nm=4:nwc=1:stl=30:sd=3:ss=axioms:st=1.5:sos=on_1 on theBenchmark 0.19/0.42 % (11133)lrs+1010_3_av=off:fsr=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gs=on:gsem=off:nm=2:newcnf=on:nwc=2:stl=30:sp=reverse_arity:urr=on:updr=off_9 on theBenchmark 0.19/0.43 % (11149)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:e2e=on:prag=on:foolp=on:cnfonf=eager:afq=1.0:fde=all:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on_50 on theBenchmark 0.19/0.43 % (11146)lrs+1_4_afp=100000:afq=1.2:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:anc=none:bd=off:cond=on:gs=on:gsem=off:nm=64:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:updr=off_300 on theBenchmark 0.19/0.43 % (11128)dis+1010_3:2_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark 0.19/0.43 % (11129)dis+1_2:3_acc=on:add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=2.0:amm=sco:anc=none:er=filter:fsr=off:gsp=input_only:gs=on:gsem=off:nm=64:newcnf=on:nwc=1_3 on theBenchmark 0.19/0.43 % (11141)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=lazy_gen:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_30 on theBenchmark 0.19/0.45 % (11127)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 1.64/0.61 % (11143)Refutation not found, incomplete strategy 1.64/0.61 % (11143)------------------------------ 1.64/0.61 % (11143)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 1.64/0.61 % (11143)Termination reason: Refutation not found, incomplete strategy 1.64/0.61 1.64/0.61 % (11143)Memory used [KB]: 10746 1.64/0.61 % (11143)Time elapsed: 0.256 s 1.64/0.61 % (11143)------------------------------ 1.64/0.61 % (11143)------------------------------ 2.21/0.65 % (11150)dis+1011_10_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=4000:afq=1.0:amm=off:anc=none:lma=on:nm=64:nwc=4:sac=on:sp=occurrence_75 on theBenchmark 3.23/0.80 % (11130)Refutation not found, incomplete strategy 3.23/0.80 % (11130)------------------------------ 3.23/0.80 % (11130)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.23/0.80 % (11130)Termination reason: Refutation not found, incomplete strategy 3.23/0.80 3.23/0.80 % (11130)Memory used [KB]: 11769 3.23/0.80 % (11130)Time elapsed: 0.420 s 3.23/0.80 % (11130)------------------------------ 3.23/0.80 % (11130)------------------------------ 3.23/0.82 % (11134)Time limit reached! 3.23/0.82 % (11134)------------------------------ 3.23/0.82 % (11134)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.23/0.82 % (11134)Termination reason: Time limit 3.23/0.82 % (11134)Termination phase: Saturation 3.23/0.82 3.23/0.82 % (11134)Memory used [KB]: 8571 3.23/0.82 % (11134)Time elapsed: 0.400 s 3.23/0.82 % (11134)------------------------------ 3.23/0.82 % (11134)------------------------------ 3.72/0.85 % (11154)dis+1010_3:2_av=off:csup=on:prag=on:chr=on:foolp=on:bet=on:cnfonf=lazy_not_be_gen:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark 3.94/0.86 % (11121)Time limit reached! 3.94/0.86 % (11121)------------------------------ 3.94/0.86 % (11121)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.94/0.86 % (11121)Termination reason: Time limit 3.94/0.86 3.94/0.86 % (11121)Memory used [KB]: 11641 3.94/0.86 % (11121)Time elapsed: 0.504 s 3.94/0.86 % (11121)------------------------------ 3.94/0.86 % (11121)------------------------------ 3.94/0.86 % (11155)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 3.94/0.87 % (11123)Time limit reached! 3.94/0.87 % (11123)------------------------------ 3.94/0.87 % (11123)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.94/0.87 % (11123)Termination reason: Time limit 3.94/0.87 3.94/0.87 % (11123)Memory used [KB]: 12153 3.94/0.87 % (11123)Time elapsed: 0.514 s 3.94/0.87 % (11123)------------------------------ 3.94/0.87 % (11123)------------------------------ 3.94/0.87 % (11120)Time limit reached! 3.94/0.87 % (11120)------------------------------ 3.94/0.87 % (11120)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.94/0.87 % (11120)Termination reason: Time limit 3.94/0.87 3.94/0.87 % (11120)Memory used [KB]: 3454 3.94/0.87 % (11120)Time elapsed: 0.513 s 3.94/0.87 % (11120)------------------------------ 3.94/0.87 % (11120)------------------------------ 3.94/0.88 % (11131)Time limit reached! 3.94/0.88 % (11131)------------------------------ 3.94/0.88 % (11131)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.94/0.88 % (11131)Termination reason: Time limit 3.94/0.88 3.94/0.88 % (11131)Memory used [KB]: 12281 3.94/0.88 % (11131)Time elapsed: 0.512 s 3.94/0.88 % (11131)------------------------------ 3.94/0.88 % (11131)------------------------------ 3.94/0.90 % (11132)Time limit reached! 3.94/0.90 % (11132)------------------------------ 3.94/0.90 % (11132)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.94/0.90 % (11132)Termination reason: Time limit 3.94/0.90 3.94/0.90 % (11132)Memory used [KB]: 7419 3.94/0.90 % (11132)Time elapsed: 0.536 s 3.94/0.90 % (11132)------------------------------ 3.94/0.90 % (11132)------------------------------ 3.94/0.91 % (11156)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 3.94/0.91 % (11157)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 3.94/0.92 % (11158)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 4.40/0.94 % (11159)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 4.40/0.96 % (11160)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 4.62/0.97 % (11126)Time limit reached! 4.62/0.97 % (11126)------------------------------ 4.62/0.97 % (11126)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.62/0.97 % (11126)Termination reason: Time limit 4.62/0.97 4.62/0.97 % (11126)Memory used [KB]: 14456 4.62/0.97 % (11126)Time elapsed: 0.612 s 4.62/0.97 % (11126)------------------------------ 4.62/0.97 % (11126)------------------------------ 4.62/0.99 % (11129)Time limit reached! 4.62/0.99 % (11129)------------------------------ 4.62/0.99 % (11129)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.62/1.01 % (11129)Termination reason: Time limit 4.62/1.01 4.62/1.01 % (11129)Memory used [KB]: 13560 4.62/1.01 % (11129)Time elapsed: 0.622 s 4.62/1.01 % (11129)------------------------------ 4.62/1.01 % (11129)------------------------------ 4.62/1.02 % (11161)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 4.62/1.03 % (11156)Refutation not found, incomplete strategy 4.62/1.03 % (11156)------------------------------ 4.62/1.03 % (11156)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.62/1.03 % (11156)Termination reason: Refutation not found, incomplete strategy 4.62/1.03 4.62/1.03 % (11156)Memory used [KB]: 11641 4.62/1.03 % (11156)Time elapsed: 0.175 s 4.62/1.03 % (11156)------------------------------ 4.62/1.03 % (11156)------------------------------ 5.03/1.06 % (11162)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 5.03/1.08 % (11163)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 5.83/1.14 % (11122)Time limit reached! 5.83/1.14 % (11122)------------------------------ 5.83/1.14 % (11122)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 5.83/1.14 % (11122)Termination reason: Time limit 5.83/1.14 5.83/1.14 % (11122)Memory used [KB]: 13688 5.83/1.14 % (11122)Time elapsed: 0.782 s 5.83/1.14 % (11122)------------------------------ 5.83/1.14 % (11122)------------------------------ 5.83/1.16 % (11161)Refutation not found, incomplete strategy 5.83/1.16 % (11161)------------------------------ 5.83/1.16 % (11161)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 5.83/1.16 % (11161)Termination reason: Refutation not found, incomplete strategy 5.83/1.16 5.83/1.16 % (11161)Memory used [KB]: 10746 5.83/1.16 % (11161)Time elapsed: 0.183 s 5.83/1.16 % (11161)------------------------------ 5.83/1.16 % (11161)------------------------------ 6.42/1.19 % (11164)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 6.67/1.21 % (11165)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 6.91/1.29 % (11124)Refutation found. Thanks to Tanya! 6.91/1.29 % SZS status Theorem for theBenchmark 6.91/1.29 % (11138)Time limit reached! 6.91/1.29 % (11138)------------------------------ 6.91/1.29 % (11138)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 6.91/1.29 % (11138)Termination reason: Time limit 6.91/1.29 6.91/1.29 % (11138)Memory used [KB]: 8571 6.91/1.29 % (11138)Time elapsed: 0.926 s 6.91/1.29 % (11138)------------------------------ 6.91/1.29 % (11138)------------------------------ 6.91/1.31 % SZS output start Proof for theBenchmark 6.91/1.31 tff(func_def_0, type, mu: '$tType'). 6.91/1.31 tff(func_def_4, type, ->: ('$tType' * '$tType') > '$tType'). 6.91/1.31 tff(func_def_5, type, meq_ind: mu -> mu -> '$i' -> '$o'). 6.91/1.31 tff(func_def_6, type, meq_prop: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 6.91/1.31 tff(func_def_7, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 6.91/1.31 tff(func_def_8, type, mnot: ('$i' -> '$o') -> '$i' -> '$o'). 6.91/1.31 tff(func_def_9, type, mor: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 6.91/1.31 tff(func_def_10, type, mand: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 6.91/1.31 tff(func_def_11, type, mimplies: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 6.91/1.31 tff(func_def_12, type, mimplied: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 6.91/1.31 tff(func_def_13, type, mequiv: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 6.91/1.31 tff(func_def_14, type, mxor: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 6.91/1.31 tff(func_def_15, type, mforall_ind: (mu -> '$i' -> '$o') -> '$i' -> '$o'). 6.91/1.31 tff(func_def_16, type, mforall_prop: (('$i' -> '$o') -> '$i' -> '$o') -> '$i' -> '$o'). 6.91/1.31 tff(func_def_17, type, mexists_ind: (mu -> '$i' -> '$o') -> '$i' -> '$o'). 6.91/1.31 tff(func_def_18, type, mexists_prop: (('$i' -> '$o') -> '$i' -> '$o') -> '$i' -> '$o'). 6.91/1.31 tff(func_def_19, type, mtrue: '$i' -> '$o'). 6.91/1.31 tff(func_def_20, type, mfalse: '$i' -> '$o'). 6.91/1.31 tff(func_def_21, type, mbox: ('$i' -> '$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 6.91/1.31 tff(func_def_22, type, mdia: ('$i' -> '$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 6.91/1.31 tff(func_def_23, type, mreflexive: ('$i' -> '$i' -> '$o') -> '$o'). 6.91/1.31 tff(func_def_24, type, msymmetric: ('$i' -> '$i' -> '$o') -> '$o'). 6.91/1.31 tff(func_def_25, type, mserial: ('$i' -> '$i' -> '$o') -> '$o'). 6.91/1.31 tff(func_def_26, type, mtransitive: ('$i' -> '$i' -> '$o') -> '$o'). 6.91/1.31 tff(func_def_27, type, meuclidean: ('$i' -> '$i' -> '$o') -> '$o'). 6.91/1.31 tff(func_def_28, type, mpartially_functional: ('$i' -> '$i' -> '$o') -> '$o'). 6.91/1.31 tff(func_def_29, type, mfunctional: ('$i' -> '$i' -> '$o') -> '$o'). 6.91/1.31 tff(func_def_30, type, mweakly_dense: ('$i' -> '$i' -> '$o') -> '$o'). 6.91/1.31 tff(func_def_31, type, mweakly_connected: ('$i' -> '$i' -> '$o') -> '$o'). 6.91/1.31 tff(func_def_32, type, mweakly_directed: ('$i' -> '$i' -> '$o') -> '$o'). 6.91/1.31 tff(func_def_33, type, mvalid: ('$i' -> '$o') -> '$o'). 6.91/1.31 tff(func_def_34, type, minvalid: ('$i' -> '$o') -> '$o'). 6.91/1.31 tff(func_def_35, type, msatisfiable: ('$i' -> '$o') -> '$o'). 6.91/1.31 tff(func_def_36, type, mcountersatisfiable: ('$i' -> '$o') -> '$o'). 6.91/1.31 tff(func_def_37, type, reg: '$tType'). 6.91/1.31 tff(func_def_38, type, c: reg -> reg -> '$o'). 6.91/1.31 tff(func_def_39, type, dc: reg -> reg -> '$o'). 6.91/1.31 tff(func_def_40, type, p: reg -> reg -> '$o'). 6.91/1.31 tff(func_def_41, type, eq: reg -> reg -> '$o'). 6.91/1.31 tff(func_def_42, type, o: reg -> reg -> '$o'). 6.91/1.31 tff(func_def_43, type, po: reg -> reg -> '$o'). 6.91/1.31 tff(func_def_44, type, ec: reg -> reg -> '$o'). 6.91/1.31 tff(func_def_45, type, pp: reg -> reg -> '$o'). 6.91/1.31 tff(func_def_46, type, tpp: reg -> reg -> '$o'). 6.91/1.31 tff(func_def_47, type, ntpp: reg -> reg -> '$o'). 6.91/1.31 tff(func_def_48, type, catalunya: reg). 6.91/1.31 tff(func_def_49, type, france: reg). 6.91/1.31 tff(func_def_50, type, spain: reg). 6.91/1.31 tff(func_def_51, type, paris: reg). 6.91/1.31 tff(func_def_52, type, a: '$i' -> '$i' -> '$o'). 6.91/1.31 tff(func_def_53, type, fool: '$i' -> '$i' -> '$o'). 6.91/1.31 tff(func_def_54, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0). 6.91/1.31 tff(func_def_55, type, vIMP: '$o' -> '$o' -> '$o'). 6.91/1.31 tff(func_def_56, type, vAND: '$o' -> '$o' -> '$o'). 6.91/1.31 tff(func_def_57, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 6.91/1.31 tff(func_def_58, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2). 6.91/1.31 tff(func_def_59, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 6.91/1.31 tff(func_def_60, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 6.91/1.31 tff(func_def_61, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1). 6.91/1.31 tff(func_def_64, type, vNOT: '$o' -> '$o'). 6.91/1.31 tff(func_def_65, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o'). 6.91/1.31 tff(func_def_66, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 6.91/1.31 tff(func_def_67, type, iCOMB: !>[X2: $ttype]:X2 -> X2). 6.91/1.31 tff(func_def_68, type, vOR: '$o' -> '$o' -> '$o'). 6.91/1.31 tff(func_def_70, type, sK1: ('$i' -> '$o') -> '$i' -> '$i'). 6.91/1.31 tff(func_def_71, type, sK2: ('$i' -> '$o') -> '$i' -> '$i'). 6.91/1.31 tff(func_def_72, type, sK3: ('$i' -> '$o') -> '$i' -> '$i'). 6.91/1.31 tff(func_def_73, type, sK4: reg -> reg). 6.91/1.31 tff(func_def_74, type, sK5: reg -> reg). 6.91/1.31 tff(func_def_75, type, sK6: reg -> reg). 6.91/1.31 tff(func_def_76, type, sK7: reg -> reg). 6.91/1.31 tff(func_def_77, type, sK8: reg). 6.91/1.31 tff(func_def_78, type, sK9: reg). 6.91/1.31 tff(func_def_79, type, sK10: reg -> reg). 6.91/1.31 tff(func_def_80, type, sK11: reg -> reg). 6.91/1.31 tff(func_def_81, type, sK12: reg -> reg). 6.91/1.31 tff(func_def_82, type, sK13: reg -> reg). 6.91/1.31 tff(func_def_83, type, sK14: reg). 6.91/1.31 tff(func_def_86, type, sK17: reg). 6.91/1.31 tff(func_def_87, type, sK18: reg -> reg). 6.91/1.31 tff(func_def_88, type, sK19: reg -> reg). 6.91/1.31 tff(func_def_89, type, sK20: reg -> reg). 6.91/1.31 tff(func_def_90, type, sK21: reg -> reg). 6.91/1.31 tff(func_def_91, type, sK22: reg). 6.91/1.31 tff(func_def_92, type, sK23: reg). 6.91/1.31 tff(func_def_93, type, sK24: '$i' -> '$i' -> '$i'). 6.91/1.31 tff(func_def_94, type, sK25: '$i' -> '$i' -> '$i'). 6.91/1.31 tff(f16,axiom,( 6.91/1.31 mbox = (^[X6 : '$i' -> '$i' -> '$o', X3 : '$i' -> '$o', X2 : '$i'] : ! [X7] : (X3 @ X7 | ~X6 @ X2 @ X7))), 6.91/1.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox)). 6.91/1.31 tff(f28,axiom,( 6.91/1.31 mvalid = (^[X3 : '$i' -> '$o'] : ! [X2] : X3 @ X2)), 6.91/1.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)). 6.91/1.31 tff(f33,axiom,( 6.91/1.31 p = (^[X0 : reg, X1 : reg] : ! [X11 : reg] : (c @ X11 @ X0 => c @ X11 @ X1))), 6.91/1.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p)). 6.91/1.31 tff(f35,axiom,( 6.91/1.31 o = (^[X0 : reg, X1 : reg] : ? [X11 : reg] : (p @ X11 @ X1 & p @ X11 @ X0))), 6.91/1.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o)). 6.91/1.31 tff(f37,axiom,( 6.91/1.31 ec = (^[X0 : reg, X1 : reg] : ~o @ X0 @ X1 & c @ X0 @ X1)), 6.91/1.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ec)). 6.91/1.31 tff(f38,axiom,( 6.91/1.31 pp = (^[X0 : reg, X1 : reg] : ~p @ X1 @ X0 & p @ X0 @ X1)), 6.91/1.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pp)). 6.91/1.31 tff(f39,axiom,( 6.91/1.31 tpp = (^[X0 : reg, X1 : reg] : ? [X11 : reg] : (ec @ X11 @ X1 & ec @ X11 @ X0) & pp @ X0 @ X1)), 6.91/1.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tpp)). 6.91/1.31 tff(f40,axiom,( 6.91/1.31 ntpp = (^[X0 : reg, X1 : reg] : ~? [X11 : reg] : (ec @ X11 @ X1 & ec @ X11 @ X0) & pp @ X0 @ X1)), 6.91/1.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ntpp)). 6.91/1.31 tff(f44,axiom,( 6.91/1.31 mvalid @ (mbox @ a @ (^[X0 : '$i'] : ntpp @ paris @ france))), 6.91/1.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)). 6.91/1.31 tff(f46,axiom,( 6.91/1.31 mvalid @ (mbox @ a @ (^[X0 : '$i'] : tpp @ catalunya @ spain))), 6.91/1.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)). 6.91/1.31 tff(f48,conjecture,( 6.91/1.31 mvalid @ (mbox @ a @ (^[X0 : '$i'] : ! [X11 : reg] : ((o @ X11 @ paris & o @ X11 @ catalunya) => (o @ X11 @ france & o @ X11 @ spain))))), 6.91/1.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)). 6.91/1.31 tff(f49,negated_conjecture,( 6.91/1.31 ~mvalid @ (mbox @ a @ (^[X0 : '$i'] : ! [X11 : reg] : ((o @ X11 @ paris & o @ X11 @ catalunya) => (o @ X11 @ france & o @ X11 @ spain))))), 6.91/1.31 inference(negated_conjecture,[],[f48])). 6.91/1.31 tff(f51,plain,( 6.91/1.31 ~mvalid @ (mbox @ a @ (^[X0 : '$i'] : ! [X1 : reg] : ((o @ X1 @ paris & o @ X1 @ catalunya) => (o @ X1 @ france & o @ X1 @ spain))))), 6.91/1.31 inference(rectify,[],[f49])). 6.91/1.31 tff(f52,plain,( 6.91/1.31 ~(mvalid @ (mbox @ a @ (kCOMB @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ o @ catalunya)) @ (cCOMB @ o @ paris))) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ o @ spain)) @ (cCOMB @ o @ france)))))) = $true)), 6.91/1.31 inference(fool_elimination,[],[f51])). 6.91/1.31 tff(f103,plain,( 6.91/1.31 ntpp = (^[X0 : reg, X1 : reg] : ~? [X2 : reg] : (ec @ X2 @ X1 & ec @ X2 @ X0) & pp @ X0 @ X1)), 6.91/1.31 inference(rectify,[],[f40])). 6.91/1.31 tff(f104,plain,( 6.91/1.31 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ pp)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ ec)))) @ (cCOMB @ ec)))) = ntpp), 6.91/1.31 inference(fool_elimination,[],[f103])). 6.91/1.31 tff(f105,plain,( 6.91/1.31 tpp = (^[X0 : reg, X1 : reg] : ? [X2 : reg] : (ec @ X2 @ X1 & ec @ X2 @ X0) & pp @ X0 @ X1)), 6.91/1.31 inference(rectify,[],[f39])). 6.91/1.31 tff(f106,plain,( 6.91/1.31 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ pp)) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ ec)))) @ (cCOMB @ ec))) = tpp), 6.91/1.31 inference(fool_elimination,[],[f105])). 6.91/1.31 tff(f107,plain,( 6.91/1.31 pp = (^[X0 : reg, X1 : reg] : ~p @ X1 @ X0 & p @ X0 @ X1)), 6.91/1.31 inference(rectify,[],[f38])). 6.91/1.31 tff(f108,plain,( 6.91/1.31 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ p)) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ p)) = pp), 6.91/1.31 inference(fool_elimination,[],[f107])). 6.91/1.31 tff(f113,plain,( 6.91/1.31 ec = (^[X0 : reg, X1 : reg] : ~o @ X0 @ X1 & c @ X0 @ X1)), 6.91/1.31 inference(rectify,[],[f37])). 6.91/1.31 tff(f114,plain,( 6.91/1.31 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ o) = ec), 6.91/1.31 inference(fool_elimination,[],[f113])). 6.91/1.31 tff(f115,plain,( 6.91/1.31 mvalid = (^[X0 : '$i' -> '$o'] : ! [X1] : X0 @ X1)), 6.91/1.31 inference(rectify,[],[f28])). 6.91/1.31 tff(f116,plain,( 6.91/1.31 mvalid = vPI('$i')), 6.91/1.31 inference(fool_elimination,[],[f115])). 6.91/1.31 tff(f119,plain,( 6.91/1.31 p = (^[X0 : reg, X1 : reg] : ! [X2 : reg] : (c @ X2 @ X0 => c @ X2 @ X1))), 6.91/1.31 inference(rectify,[],[f33])). 6.91/1.31 tff(f120,plain,( 6.91/1.31 bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)) = p), 6.91/1.31 inference(fool_elimination,[],[f119])). 6.91/1.31 tff(f123,plain,( 6.91/1.31 o = (^[X0 : reg, X1 : reg] : ? [X2 : reg] : (p @ X2 @ X1 & p @ X2 @ X0))), 6.91/1.31 inference(rectify,[],[f35])). 6.91/1.31 tff(f124,plain,( 6.91/1.31 bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ p)))) @ (cCOMB @ p)) = o), 6.91/1.31 inference(fool_elimination,[],[f123])). 6.91/1.31 tff(f127,plain,( 6.91/1.31 mbox = (^[X0 : '$i' -> '$i' -> '$o', X1 : '$i' -> '$o', X2 : '$i'] : ! [X3] : (X1 @ X3 | ~X0 @ X2 @ X3))), 6.91/1.31 inference(rectify,[],[f16])). 6.91/1.31 tff(f128,plain,( 6.91/1.31 bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) = mbox), 6.91/1.31 inference(fool_elimination,[],[f127])). 6.91/1.31 tff(f133,plain,( 6.91/1.31 mvalid @ (mbox @ a @ (^[X0 : '$i'] : tpp @ catalunya @ spain))), 6.91/1.31 inference(rectify,[],[f46])). 6.91/1.31 tff(f134,plain,( 6.91/1.31 (mvalid @ (mbox @ a @ (kCOMB @ (tpp @ catalunya @ spain))) = $true)), 6.91/1.31 inference(fool_elimination,[],[f133])). 6.91/1.31 tff(f135,plain,( 6.91/1.31 mvalid @ (mbox @ a @ (^[X0 : '$i'] : ntpp @ paris @ france))), 6.91/1.31 inference(rectify,[],[f44])). 6.91/1.31 tff(f136,plain,( 6.91/1.31 (mvalid @ (mbox @ a @ (kCOMB @ (ntpp @ paris @ france))) = $true)), 6.91/1.31 inference(fool_elimination,[],[f135])). 6.91/1.31 tff(f145,plain,( 6.91/1.31 (mvalid @ (mbox @ a @ (kCOMB @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ o @ catalunya)) @ (cCOMB @ o @ paris))) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ o @ spain)) @ (cCOMB @ o @ france)))))) != $true)), 6.91/1.31 inference(flattening,[],[f52])). 6.91/1.31 tff(f147,plain,( 6.91/1.31 (mvalid @ (mbox @ a @ (kCOMB @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ o @ catalunya)) @ (cCOMB @ o @ paris))) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ o @ spain)) @ (cCOMB @ o @ france)))))) != $true)), 6.91/1.31 inference(cnf_transformation,[],[f145])). 6.91/1.31 tff(f175,plain,( 6.91/1.31 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ pp)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ ec)))) @ (cCOMB @ ec)))) = ntpp), 6.91/1.31 inference(cnf_transformation,[],[f104])). 6.91/1.31 tff(f176,plain,( 6.91/1.31 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ pp)) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ ec)))) @ (cCOMB @ ec))) = tpp), 6.91/1.31 inference(cnf_transformation,[],[f106])). 6.91/1.31 tff(f177,plain,( 6.91/1.31 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ p)) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ p)) = pp), 6.91/1.31 inference(cnf_transformation,[],[f108])). 6.91/1.32 tff(f180,plain,( 6.91/1.32 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ o) = ec), 6.91/1.32 inference(cnf_transformation,[],[f114])). 6.91/1.32 tff(f181,plain,( 6.91/1.32 mvalid = vPI('$i')), 6.91/1.32 inference(cnf_transformation,[],[f116])). 6.91/1.32 tff(f183,plain,( 6.91/1.32 bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)) = p), 6.91/1.32 inference(cnf_transformation,[],[f120])). 6.91/1.32 tff(f185,plain,( 6.91/1.32 bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ p)))) @ (cCOMB @ p)) = o), 6.91/1.32 inference(cnf_transformation,[],[f124])). 6.91/1.32 tff(f187,plain,( 6.91/1.32 bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) = mbox), 6.91/1.32 inference(cnf_transformation,[],[f128])). 6.91/1.32 tff(f190,plain,( 6.91/1.32 (mvalid @ (mbox @ a @ (kCOMB @ (tpp @ catalunya @ spain))) = $true)), 6.91/1.32 inference(cnf_transformation,[],[f134])). 6.91/1.32 tff(f191,plain,( 6.91/1.32 (mvalid @ (mbox @ a @ (kCOMB @ (ntpp @ paris @ france))) = $true)), 6.91/1.32 inference(cnf_transformation,[],[f136])). 6.91/1.32 tff(f206,plain,( 6.91/1.32 bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))) = o), 6.91/1.32 inference(definition_unfolding,[],[f185,f183,f183])). 6.91/1.32 tff(f208,plain,( 6.91/1.32 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) = ec), 6.91/1.32 inference(definition_unfolding,[],[f180,f206])). 6.91/1.32 tff(f209,plain,( 6.91/1.32 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))) = pp), 6.91/1.32 inference(definition_unfolding,[],[f177,f183,f183])). 6.91/1.32 tff(f210,plain,( 6.91/1.32 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))))))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))))))) = tpp), 6.91/1.32 inference(definition_unfolding,[],[f176,f209,f208,f208])). 6.91/1.32 tff(f211,plain,( 6.91/1.32 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))))))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))))))) = ntpp), 6.91/1.32 inference(definition_unfolding,[],[f175,f209,f208,f208])). 6.91/1.33 tff(f212,plain,( 6.91/1.33 (vPI('$i') @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a @ (kCOMB @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ catalunya)) @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ paris))) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ spain)) @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ france)))))) != $true)), 6.91/1.33 inference(definition_unfolding,[],[f147,f181,f187,f206,f206,f206,f206])). 7.62/1.33 tff(f213,plain,( 7.62/1.33 (vPI('$i') @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a @ (kCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))))))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))))))) @ catalunya @ spain))) = $true)), 7.62/1.33 inference(definition_unfolding,[],[f190,f181,f187,f210])). 7.62/1.34 tff(f214,plain,( 7.62/1.34 (vPI('$i') @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a @ (kCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))))))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))))))) @ paris @ france))) = $true)), 7.62/1.34 inference(definition_unfolding,[],[f191,f181,f187,f211])). 7.62/1.34 tff(f283,plain,( 7.62/1.34 ( ! [X1] : ((bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a @ (kCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))))))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))))))) @ paris @ france)) @ X1 = $true)) )), 7.62/1.34 inference(pi_clausification,[],[f214])). 7.62/1.34 tff(f284,plain,( 7.62/1.34 ( ! [X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a @ X1))) @ (kCOMB @ (vAND @ (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ paris)) @ (cCOMB @ c @ france))) @ (vNOT @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ france)) @ (cCOMB @ c @ paris))))) @ (vNOT @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ paris)) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ france))))))) = $true)) )), 7.62/1.34 inference(combinator_demodulation,[],[f283])). 7.62/1.34 tff(f285,plain,( 7.62/1.34 ( ! [X2,X1] : ((sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a @ X1))) @ (kCOMB @ (vAND @ (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ paris)) @ (cCOMB @ c @ france))) @ (vNOT @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ france)) @ (cCOMB @ c @ paris))))) @ (vNOT @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ paris)) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ france)))))) @ X2 = $true)) )), 7.62/1.34 inference(pi_clausification,[],[f284])). 7.62/1.34 tff(f286,plain,( 7.62/1.34 ( ! [X2,X1] : ((vOR @ (vNOT @ (a @ X1 @ X2)) @ (vAND @ (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ paris)) @ (cCOMB @ c @ france))) @ (vNOT @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ france)) @ (cCOMB @ c @ paris))))) @ (vNOT @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ paris)) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ france))))) = $true)) )), 7.62/1.34 inference(combinator_demodulation,[],[f285])). 7.62/1.34 tff(f287,plain,( 7.62/1.34 ( ! [X2,X1] : ((vNOT @ (a @ X1 @ X2) = $true) | (vAND @ (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ paris)) @ (cCOMB @ c @ france))) @ (vNOT @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ france)) @ (cCOMB @ c @ paris))))) @ (vNOT @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ paris)) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ france)))) = $true)) )), 7.62/1.34 inference(binary_proxy_clausification,[],[f286])). 7.62/1.35 tff(f288,plain,( 7.62/1.35 ( ! [X2,X1] : ((a @ X1 @ X2 = $false) | (vAND @ (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ paris)) @ (cCOMB @ c @ france))) @ (vNOT @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ france)) @ (cCOMB @ c @ paris))))) @ (vNOT @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ paris)) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ france)))) = $true)) )), 7.62/1.35 inference(not_proxy_clausification,[],[f287])). 7.62/1.35 tff(f289,plain,( 7.62/1.35 ( ! [X2,X1] : ((a @ X1 @ X2 = $false) | (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ paris)) @ (cCOMB @ c @ france))) @ (vNOT @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ france)) @ (cCOMB @ c @ paris)))) = $true)) )), 7.62/1.35 inference(binary_proxy_clausification,[],[f288])). 7.62/1.35 tff(f326,plain,( 7.62/1.35 ( ! [X2,X1] : ((a @ X1 @ X2 = $false) | (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ paris)) @ (cCOMB @ c @ france)) = $true)) )), 7.62/1.35 inference(binary_proxy_clausification,[],[f289])). 7.62/1.35 tff(f333,plain,( 7.62/1.35 ( ! [X2,X3:reg,X1] : ((a @ X1 @ X2 = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ paris)) @ (cCOMB @ c @ france) @ X3 = $true)) )), 7.62/1.35 inference(pi_clausification,[],[f326])). 7.62/1.35 tff(f334,plain,( 7.62/1.35 ( ! [X2,X3:reg,X1] : ((a @ X1 @ X2 = $false) | (vIMP @ (c @ X3 @ paris) @ (c @ X3 @ france) = $true)) )), 7.62/1.35 inference(combinator_demodulation,[],[f333])). 7.62/1.35 tff(f335,plain,( 7.62/1.35 ( ! [X2,X3:reg,X1] : ((a @ X1 @ X2 = $false) | (c @ X3 @ paris = $false) | (c @ X3 @ france = $true)) )), 7.62/1.35 inference(binary_proxy_clausification,[],[f334])). 7.62/1.35 tff(f336,plain,( 7.62/1.35 ( ! [X1] : ((bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a @ (kCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))))))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))))))) @ catalunya @ spain)) @ X1 = $true)) )), 7.62/1.35 inference(pi_clausification,[],[f213])). 7.62/1.35 tff(f337,plain,( 7.62/1.35 ( ! [X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a @ X1))) @ (kCOMB @ (vAND @ (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ catalunya)) @ (cCOMB @ c @ spain))) @ (vNOT @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ spain)) @ (cCOMB @ c @ catalunya))))) @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ catalunya)) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ spain)))))) = $true)) )), 7.62/1.35 inference(combinator_demodulation,[],[f336])). 7.62/1.35 tff(f338,plain,( 7.62/1.35 ( ! [X2,X1] : ((sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a @ X1))) @ (kCOMB @ (vAND @ (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ catalunya)) @ (cCOMB @ c @ spain))) @ (vNOT @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ spain)) @ (cCOMB @ c @ catalunya))))) @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ catalunya)) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ spain))))) @ X2 = $true)) )), 7.62/1.35 inference(pi_clausification,[],[f337])). 7.62/1.36 tff(f339,plain,( 7.62/1.36 ( ! [X2,X1] : ((vOR @ (vNOT @ (a @ X1 @ X2)) @ (vAND @ (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ catalunya)) @ (cCOMB @ c @ spain))) @ (vNOT @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ spain)) @ (cCOMB @ c @ catalunya))))) @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ catalunya)) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ spain)))) = $true)) )), 7.62/1.36 inference(combinator_demodulation,[],[f338])). 7.62/1.36 tff(f340,plain,( 7.62/1.36 ( ! [X2,X1] : ((vNOT @ (a @ X1 @ X2) = $true) | (vAND @ (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ catalunya)) @ (cCOMB @ c @ spain))) @ (vNOT @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ spain)) @ (cCOMB @ c @ catalunya))))) @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ catalunya)) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ spain))) = $true)) )), 7.62/1.36 inference(binary_proxy_clausification,[],[f339])). 7.62/1.36 tff(f341,plain,( 7.62/1.36 ( ! [X2,X1] : ((a @ X1 @ X2 = $false) | (vAND @ (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ catalunya)) @ (cCOMB @ c @ spain))) @ (vNOT @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ spain)) @ (cCOMB @ c @ catalunya))))) @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ catalunya)) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ spain))) = $true)) )), 7.62/1.36 inference(not_proxy_clausification,[],[f340])). 7.62/1.36 tff(f342,plain,( 7.62/1.36 ( ! [X2,X1] : ((a @ X1 @ X2 = $false) | (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ catalunya)) @ (cCOMB @ c @ spain))) @ (vNOT @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ spain)) @ (cCOMB @ c @ catalunya)))) = $true)) )), 7.62/1.36 inference(binary_proxy_clausification,[],[f341])). 7.62/1.36 tff(f378,plain,( 7.62/1.36 ( ! [X2,X1] : ((a @ X1 @ X2 = $false) | (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ catalunya)) @ (cCOMB @ c @ spain)) = $true)) )), 7.62/1.36 inference(binary_proxy_clausification,[],[f342])). 7.62/1.36 tff(f385,plain,( 7.62/1.36 ( ! [X2,X3:reg,X1] : ((a @ X1 @ X2 = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ catalunya)) @ (cCOMB @ c @ spain) @ X3 = $true)) )), 7.62/1.36 inference(pi_clausification,[],[f378])). 7.62/1.36 tff(f386,plain,( 7.62/1.36 ( ! [X2,X3:reg,X1] : ((a @ X1 @ X2 = $false) | (vIMP @ (c @ X3 @ catalunya) @ (c @ X3 @ spain) = $true)) )), 7.62/1.36 inference(combinator_demodulation,[],[f385])). 7.62/1.36 tff(f387,plain,( 7.62/1.36 ( ! [X2,X3:reg,X1] : ((a @ X1 @ X2 = $false) | (c @ X3 @ catalunya = $false) | (c @ X3 @ spain = $true)) )), 7.62/1.36 inference(binary_proxy_clausification,[],[f386])). 7.62/1.36 tff(f388,plain,( 7.62/1.36 (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a @ (kCOMB @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ catalunya)) @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ paris))) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ spain)) @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ france))))) @ sK15 = $false)), 7.62/1.36 inference(sigma_clausification,[],[f212])). 7.62/1.36 tff(f389,plain,( 7.62/1.36 (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a @ sK15))) @ (kCOMB @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ catalunya)) @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ paris))) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ spain)) @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ france)))))) = $false)), 7.62/1.36 inference(combinator_demodulation,[],[f388])). 7.62/1.37 tff(f390,plain,( 7.62/1.37 (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a @ sK15))) @ (kCOMB @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ catalunya)) @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ paris))) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ spain)) @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ france))))) @ sK16 = $false)), 7.62/1.37 inference(sigma_clausification,[],[f389])). 7.62/1.37 % (11166)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 7.62/1.37 tff(f391,plain,( 7.62/1.37 (vOR @ (vNOT @ (a @ sK15 @ sK16)) @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ catalunya)) @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ paris))) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ spain)) @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ france)))) = $false)), 7.62/1.37 inference(combinator_demodulation,[],[f390])). 7.62/1.37 tff(f392,plain,( 7.62/1.37 (vNOT @ (a @ sK15 @ sK16) = $false)), 7.62/1.37 inference(binary_proxy_clausification,[],[f391])). 7.62/1.37 tff(f393,plain,( 7.62/1.37 (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ catalunya)) @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ paris))) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ spain)) @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ france))) = $false)), 7.62/1.37 inference(binary_proxy_clausification,[],[f391])). 7.62/1.37 tff(f394,plain,( 7.62/1.37 (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ catalunya)) @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ paris))) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ spain)) @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ france)) @ sK17 = $false)), 7.62/1.37 inference(sigma_clausification,[],[f393])). 7.62/1.37 tff(f395,plain,( 7.62/1.37 (vIMP @ (vAND @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK17)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ catalunya))) @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK17)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ paris)))) @ (vAND @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK17)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ spain))) @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK17)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ france)))) = $false)), 7.62/1.37 inference(combinator_demodulation,[],[f394])). 7.62/1.38 tff(f396,plain,( 7.62/1.38 (vAND @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK17)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ catalunya))) @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK17)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ paris))) = $true)), 7.62/1.38 inference(binary_proxy_clausification,[],[f395])). 7.62/1.38 tff(f397,plain,( 7.62/1.38 (vAND @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK17)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ spain))) @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK17)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ france))) = $false)), 7.62/1.38 inference(binary_proxy_clausification,[],[f395])). 7.62/1.38 tff(f398,plain,( 7.62/1.38 (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK17)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ spain)) = $false) | (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK17)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ france)) = $false)), 7.62/1.38 inference(binary_proxy_clausification,[],[f397])). 7.62/1.38 tff(f399,plain,( 7.62/1.38 ( ! [X1:reg] : ((vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK17)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ spain)) = $false) | (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK17)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ france) @ X1 = $false)) )), 7.62/1.38 inference(pi_clausification,[],[f398])). 7.62/1.38 tff(f400,plain,( 7.62/1.38 ( ! [X2:reg,X1:reg] : ((sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK17)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ spain) @ X2 = $false) | (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK17)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ france) @ X1 = $false)) )), 7.62/1.38 inference(pi_clausification,[],[f399])). 7.62/1.38 tff(f401,plain,( 7.62/1.38 ( ! [X2:reg,X1:reg] : ((vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X2)) @ (cCOMB @ c @ sK17))) @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X2)) @ (cCOMB @ c @ spain))) = $false) | (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X1)) @ (cCOMB @ c @ sK17))) @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X1)) @ (cCOMB @ c @ france))) = $false)) )), 7.62/1.38 inference(combinator_demodulation,[],[f400])). 7.62/1.39 tff(f402,plain,( 7.62/1.39 ( ! [X2:reg,X1:reg] : ((vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X2)) @ (cCOMB @ c @ sK17))) @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X2)) @ (cCOMB @ c @ spain))) = $false) | (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X1)) @ (cCOMB @ c @ sK17)) = $false) | (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X1)) @ (cCOMB @ c @ france)) = $false)) )), 7.62/1.39 inference(binary_proxy_clausification,[],[f401])). 7.62/1.39 tff(f403,plain,( 7.62/1.39 ( ! [X2:reg,X1:reg] : ((vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X2)) @ (cCOMB @ c @ sK17))) @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X2)) @ (cCOMB @ c @ spain))) = $false) | (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X1)) @ (cCOMB @ c @ sK17)) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X1)) @ (cCOMB @ c @ france) @ (sK18 @ X1) = $false)) )), 7.62/1.39 inference(sigma_clausification,[],[f402])). 7.62/1.39 tff(f404,plain,( 7.62/1.39 ( ! [X2:reg,X1:reg] : ((vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X2)) @ (cCOMB @ c @ sK17))) @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X2)) @ (cCOMB @ c @ spain))) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X1)) @ (cCOMB @ c @ sK17) @ (sK19 @ X1) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X1)) @ (cCOMB @ c @ france) @ (sK18 @ X1) = $false)) )), 7.62/1.39 inference(sigma_clausification,[],[f403])). 7.62/1.39 tff(f405,plain,( 7.62/1.39 ( ! [X2:reg,X1:reg] : ((vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X2)) @ (cCOMB @ c @ sK17)) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X1)) @ (cCOMB @ c @ sK17) @ (sK19 @ X1) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X1)) @ (cCOMB @ c @ france) @ (sK18 @ X1) = $false) | (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X2)) @ (cCOMB @ c @ spain)) = $false)) )), 7.62/1.39 inference(binary_proxy_clausification,[],[f404])). 7.62/1.39 tff(f406,plain,( 7.62/1.39 ( ! [X2:reg,X1:reg] : ((vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X2)) @ (cCOMB @ c @ sK17)) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X1)) @ (cCOMB @ c @ sK17) @ (sK19 @ X1) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X1)) @ (cCOMB @ c @ france) @ (sK18 @ X1) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X2)) @ (cCOMB @ c @ spain) @ (sK20 @ X2) = $false)) )), 7.62/1.39 inference(sigma_clausification,[],[f405])). 7.62/1.39 tff(f407,plain,( 7.62/1.39 ( ! [X2:reg,X1:reg] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X2)) @ (cCOMB @ c @ sK17) @ (sK21 @ X2) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X1)) @ (cCOMB @ c @ sK17) @ (sK19 @ X1) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X1)) @ (cCOMB @ c @ france) @ (sK18 @ X1) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X2)) @ (cCOMB @ c @ spain) @ (sK20 @ X2) = $false)) )), 7.62/1.39 inference(sigma_clausification,[],[f406])). 7.62/1.39 tff(f408,plain,( 7.62/1.39 ( ! [X2:reg,X1:reg] : ((vIMP @ (c @ (sK21 @ X2) @ X2) @ (c @ (sK21 @ X2) @ sK17) = $false) | (vIMP @ (c @ (sK19 @ X1) @ X1) @ (c @ (sK19 @ X1) @ sK17) = $false) | (vIMP @ (c @ (sK18 @ X1) @ X1) @ (c @ (sK18 @ X1) @ france) = $false) | (vIMP @ (c @ (sK20 @ X2) @ X2) @ (c @ (sK20 @ X2) @ spain) = $false)) )), 7.62/1.39 inference(combinator_demodulation,[],[f407])). 7.62/1.39 tff(f409,plain,( 7.62/1.39 ( ! [X2:reg,X1:reg] : ((c @ (sK21 @ X2) @ X2 = $true) | (vIMP @ (c @ (sK19 @ X1) @ X1) @ (c @ (sK19 @ X1) @ sK17) = $false) | (vIMP @ (c @ (sK18 @ X1) @ X1) @ (c @ (sK18 @ X1) @ france) = $false) | (vIMP @ (c @ (sK20 @ X2) @ X2) @ (c @ (sK20 @ X2) @ spain) = $false)) )), 7.62/1.39 inference(binary_proxy_clausification,[],[f408])). 7.62/1.39 tff(f410,plain,( 7.62/1.39 ( ! [X2:reg,X1:reg] : ((c @ (sK21 @ X2) @ sK17 = $false) | (vIMP @ (c @ (sK19 @ X1) @ X1) @ (c @ (sK19 @ X1) @ sK17) = $false) | (vIMP @ (c @ (sK18 @ X1) @ X1) @ (c @ (sK18 @ X1) @ france) = $false) | (vIMP @ (c @ (sK20 @ X2) @ X2) @ (c @ (sK20 @ X2) @ spain) = $false)) )), 7.62/1.39 inference(binary_proxy_clausification,[],[f408])). 7.62/1.39 tff(f411,plain,( 7.62/1.39 ( ! [X2:reg,X1:reg] : ((c @ (sK21 @ X2) @ sK17 = $false) | (c @ (sK19 @ X1) @ X1 = $true) | (vIMP @ (c @ (sK18 @ X1) @ X1) @ (c @ (sK18 @ X1) @ france) = $false) | (vIMP @ (c @ (sK20 @ X2) @ X2) @ (c @ (sK20 @ X2) @ spain) = $false)) )), 7.62/1.39 inference(binary_proxy_clausification,[],[f410])). 7.62/1.39 tff(f412,plain,( 7.62/1.39 ( ! [X2:reg,X1:reg] : ((c @ (sK21 @ X2) @ sK17 = $false) | (c @ (sK19 @ X1) @ sK17 = $false) | (vIMP @ (c @ (sK18 @ X1) @ X1) @ (c @ (sK18 @ X1) @ france) = $false) | (vIMP @ (c @ (sK20 @ X2) @ X2) @ (c @ (sK20 @ X2) @ spain) = $false)) )), 7.62/1.39 inference(binary_proxy_clausification,[],[f410])). 7.62/1.39 tff(f413,plain,( 7.62/1.39 ( ! [X2:reg,X1:reg] : ((c @ (sK21 @ X2) @ sK17 = $false) | (c @ (sK19 @ X1) @ sK17 = $false) | (c @ (sK18 @ X1) @ X1 = $true) | (vIMP @ (c @ (sK20 @ X2) @ X2) @ (c @ (sK20 @ X2) @ spain) = $false)) )), 7.62/1.39 inference(binary_proxy_clausification,[],[f412])). 7.62/1.39 tff(f414,plain,( 7.62/1.39 ( ! [X2:reg,X1:reg] : ((c @ (sK21 @ X2) @ sK17 = $false) | (c @ (sK19 @ X1) @ sK17 = $false) | (c @ (sK18 @ X1) @ france = $false) | (vIMP @ (c @ (sK20 @ X2) @ X2) @ (c @ (sK20 @ X2) @ spain) = $false)) )), 7.62/1.39 inference(binary_proxy_clausification,[],[f412])). 7.62/1.39 tff(f415,plain,( 7.62/1.39 ( ! [X2:reg,X1:reg] : ((c @ (sK21 @ X2) @ sK17 = $false) | (c @ (sK19 @ X1) @ sK17 = $false) | (c @ (sK18 @ X1) @ france = $false) | (c @ (sK20 @ X2) @ X2 = $true)) )), 7.62/1.39 inference(binary_proxy_clausification,[],[f414])). 7.62/1.39 tff(f416,plain,( 7.62/1.39 ( ! [X2:reg,X1:reg] : ((c @ (sK21 @ X2) @ sK17 = $false) | (c @ (sK19 @ X1) @ sK17 = $false) | (c @ (sK18 @ X1) @ france = $false) | (c @ (sK20 @ X2) @ spain = $false)) )), 7.62/1.39 inference(binary_proxy_clausification,[],[f414])). 7.62/1.39 tff(f417,plain,( 7.62/1.39 ( ! [X2:reg,X1:reg] : ((c @ (sK21 @ X2) @ sK17 = $false) | (c @ (sK19 @ X1) @ sK17 = $false) | (c @ (sK18 @ X1) @ X1 = $true) | (c @ (sK20 @ X2) @ X2 = $true)) )), 7.62/1.39 inference(binary_proxy_clausification,[],[f413])). 7.62/1.39 tff(f418,plain,( 7.62/1.39 ( ! [X2:reg,X1:reg] : ((c @ (sK21 @ X2) @ sK17 = $false) | (c @ (sK19 @ X1) @ sK17 = $false) | (c @ (sK18 @ X1) @ X1 = $true) | (c @ (sK20 @ X2) @ spain = $false)) )), 7.62/1.39 inference(binary_proxy_clausification,[],[f413])). 7.62/1.39 tff(f419,plain,( 7.62/1.39 ( ! [X2:reg,X1:reg] : ((c @ (sK21 @ X2) @ sK17 = $false) | (c @ (sK19 @ X1) @ X1 = $true) | (c @ (sK18 @ X1) @ X1 = $true) | (vIMP @ (c @ (sK20 @ X2) @ X2) @ (c @ (sK20 @ X2) @ spain) = $false)) )), 7.62/1.39 inference(binary_proxy_clausification,[],[f411])). 7.62/1.39 tff(f420,plain,( 7.62/1.39 ( ! [X2:reg,X1:reg] : ((c @ (sK21 @ X2) @ sK17 = $false) | (c @ (sK19 @ X1) @ X1 = $true) | (c @ (sK18 @ X1) @ france = $false) | (vIMP @ (c @ (sK20 @ X2) @ X2) @ (c @ (sK20 @ X2) @ spain) = $false)) )), 7.62/1.39 inference(binary_proxy_clausification,[],[f411])). 7.62/1.39 tff(f421,plain,( 7.62/1.39 ( ! [X2:reg,X1:reg] : ((c @ (sK21 @ X2) @ sK17 = $false) | (c @ (sK19 @ X1) @ X1 = $true) | (c @ (sK18 @ X1) @ france = $false) | (c @ (sK20 @ X2) @ X2 = $true)) )), 7.62/1.39 inference(binary_proxy_clausification,[],[f420])). 7.62/1.39 tff(f422,plain,( 7.62/1.39 ( ! [X2:reg,X1:reg] : ((c @ (sK21 @ X2) @ sK17 = $false) | (c @ (sK19 @ X1) @ X1 = $true) | (c @ (sK18 @ X1) @ france = $false) | (c @ (sK20 @ X2) @ spain = $false)) )), 7.62/1.39 inference(binary_proxy_clausification,[],[f420])). 7.62/1.39 tff(f423,plain,( 7.62/1.39 ( ! [X2:reg,X1:reg] : ((c @ (sK21 @ X2) @ sK17 = $false) | (c @ (sK19 @ X1) @ X1 = $true) | (c @ (sK18 @ X1) @ X1 = $true) | (c @ (sK20 @ X2) @ X2 = $true)) )), 7.62/1.39 inference(binary_proxy_clausification,[],[f419])). 7.62/1.39 tff(f424,plain,( 7.62/1.39 ( ! [X2:reg,X1:reg] : ((c @ (sK21 @ X2) @ sK17 = $false) | (c @ (sK19 @ X1) @ X1 = $true) | (c @ (sK18 @ X1) @ X1 = $true) | (c @ (sK20 @ X2) @ spain = $false)) )), 7.62/1.39 inference(binary_proxy_clausification,[],[f419])). 7.62/1.39 tff(f425,plain,( 7.62/1.39 ( ! [X2:reg,X1:reg] : ((c @ (sK21 @ X2) @ X2 = $true) | (c @ (sK19 @ X1) @ X1 = $true) | (vIMP @ (c @ (sK18 @ X1) @ X1) @ (c @ (sK18 @ X1) @ france) = $false) | (vIMP @ (c @ (sK20 @ X2) @ X2) @ (c @ (sK20 @ X2) @ spain) = $false)) )), 7.62/1.39 inference(binary_proxy_clausification,[],[f409])). 7.62/1.39 tff(f426,plain,( 7.62/1.39 ( ! [X2:reg,X1:reg] : ((c @ (sK21 @ X2) @ X2 = $true) | (c @ (sK19 @ X1) @ sK17 = $false) | (vIMP @ (c @ (sK18 @ X1) @ X1) @ (c @ (sK18 @ X1) @ france) = $false) | (vIMP @ (c @ (sK20 @ X2) @ X2) @ (c @ (sK20 @ X2) @ spain) = $false)) )), 7.62/1.39 inference(binary_proxy_clausification,[],[f409])). 7.62/1.39 tff(f427,plain,( 7.62/1.39 ( ! [X2:reg,X1:reg] : ((c @ (sK21 @ X2) @ X2 = $true) | (c @ (sK19 @ X1) @ sK17 = $false) | (c @ (sK18 @ X1) @ X1 = $true) | (vIMP @ (c @ (sK20 @ X2) @ X2) @ (c @ (sK20 @ X2) @ spain) = $false)) )), 7.62/1.39 inference(binary_proxy_clausification,[],[f426])). 7.62/1.39 tff(f428,plain,( 7.62/1.39 ( ! [X2:reg,X1:reg] : ((c @ (sK21 @ X2) @ X2 = $true) | (c @ (sK19 @ X1) @ sK17 = $false) | (c @ (sK18 @ X1) @ france = $false) | (vIMP @ (c @ (sK20 @ X2) @ X2) @ (c @ (sK20 @ X2) @ spain) = $false)) )), 7.62/1.39 inference(binary_proxy_clausification,[],[f426])). 7.62/1.39 tff(f429,plain,( 7.62/1.39 ( ! [X2:reg,X1:reg] : ((c @ (sK21 @ X2) @ X2 = $true) | (c @ (sK19 @ X1) @ sK17 = $false) | (c @ (sK18 @ X1) @ france = $false) | (c @ (sK20 @ X2) @ X2 = $true)) )), 7.62/1.39 inference(binary_proxy_clausification,[],[f428])). 7.62/1.39 tff(f430,plain,( 7.62/1.39 ( ! [X2:reg,X1:reg] : ((c @ (sK21 @ X2) @ X2 = $true) | (c @ (sK19 @ X1) @ sK17 = $false) | (c @ (sK18 @ X1) @ france = $false) | (c @ (sK20 @ X2) @ spain = $false)) )), 7.62/1.39 inference(binary_proxy_clausification,[],[f428])). 7.62/1.39 tff(f431,plain,( 7.62/1.39 ( ! [X2:reg,X1:reg] : ((c @ (sK21 @ X2) @ X2 = $true) | (c @ (sK19 @ X1) @ sK17 = $false) | (c @ (sK18 @ X1) @ X1 = $true) | (c @ (sK20 @ X2) @ X2 = $true)) )), 7.62/1.39 inference(binary_proxy_clausification,[],[f427])). 7.62/1.39 tff(f432,plain,( 7.62/1.39 ( ! [X2:reg,X1:reg] : ((c @ (sK21 @ X2) @ X2 = $true) | (c @ (sK19 @ X1) @ sK17 = $false) | (c @ (sK18 @ X1) @ X1 = $true) | (c @ (sK20 @ X2) @ spain = $false)) )), 7.62/1.39 inference(binary_proxy_clausification,[],[f427])). 7.62/1.39 tff(f433,plain,( 7.62/1.39 ( ! [X2:reg,X1:reg] : ((c @ (sK21 @ X2) @ X2 = $true) | (c @ (sK19 @ X1) @ X1 = $true) | (c @ (sK18 @ X1) @ X1 = $true) | (vIMP @ (c @ (sK20 @ X2) @ X2) @ (c @ (sK20 @ X2) @ spain) = $false)) )), 7.62/1.39 inference(binary_proxy_clausification,[],[f425])). 7.62/1.40 tff(f434,plain,( 7.62/1.40 ( ! [X2:reg,X1:reg] : ((c @ (sK21 @ X2) @ X2 = $true) | (c @ (sK19 @ X1) @ X1 = $true) | (c @ (sK18 @ X1) @ france = $false) | (vIMP @ (c @ (sK20 @ X2) @ X2) @ (c @ (sK20 @ X2) @ spain) = $false)) )), 7.62/1.40 inference(binary_proxy_clausification,[],[f425])). 7.62/1.40 tff(f435,plain,( 7.62/1.40 ( ! [X2:reg,X1:reg] : ((c @ (sK21 @ X2) @ X2 = $true) | (c @ (sK19 @ X1) @ X1 = $true) | (c @ (sK18 @ X1) @ france = $false) | (c @ (sK20 @ X2) @ X2 = $true)) )), 7.62/1.40 inference(binary_proxy_clausification,[],[f434])). 7.62/1.40 tff(f436,plain,( 7.62/1.40 ( ! [X2:reg,X1:reg] : ((c @ (sK21 @ X2) @ X2 = $true) | (c @ (sK19 @ X1) @ X1 = $true) | (c @ (sK18 @ X1) @ france = $false) | (c @ (sK20 @ X2) @ spain = $false)) )), 7.62/1.40 inference(binary_proxy_clausification,[],[f434])). 7.62/1.40 tff(f437,plain,( 7.62/1.40 ( ! [X2:reg,X1:reg] : ((c @ (sK21 @ X2) @ X2 = $true) | (c @ (sK19 @ X1) @ X1 = $true) | (c @ (sK18 @ X1) @ X1 = $true) | (c @ (sK20 @ X2) @ X2 = $true)) )), 7.62/1.40 inference(binary_proxy_clausification,[],[f433])). 7.62/1.40 tff(f438,plain,( 7.62/1.40 ( ! [X2:reg,X1:reg] : ((c @ (sK21 @ X2) @ X2 = $true) | (c @ (sK19 @ X1) @ X1 = $true) | (c @ (sK18 @ X1) @ X1 = $true) | (c @ (sK20 @ X2) @ spain = $false)) )), 7.62/1.40 inference(binary_proxy_clausification,[],[f433])). 7.62/1.40 tff(f439,plain,( 7.62/1.40 (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK17)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ catalunya)) = $true)), 7.62/1.40 inference(binary_proxy_clausification,[],[f396])). 7.62/1.40 tff(f440,plain,( 7.62/1.40 (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK17)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ paris)) = $true)), 7.62/1.40 inference(binary_proxy_clausification,[],[f396])). 7.62/1.40 tff(f441,plain,( 7.62/1.40 (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK17)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ paris) @ sK22 = $true)), 7.62/1.40 inference(sigma_clausification,[],[f440])). 7.62/1.40 tff(f442,plain,( 7.62/1.40 (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK22)) @ (cCOMB @ c @ sK17))) @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK22)) @ (cCOMB @ c @ paris))) = $true)), 7.62/1.40 inference(combinator_demodulation,[],[f441])). 7.62/1.40 tff(f443,plain,( 7.62/1.40 (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK22)) @ (cCOMB @ c @ sK17)) = $true)), 7.62/1.40 inference(binary_proxy_clausification,[],[f442])). 7.62/1.40 tff(f444,plain,( 7.62/1.40 (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK22)) @ (cCOMB @ c @ paris)) = $true)), 7.62/1.40 inference(binary_proxy_clausification,[],[f442])). 7.62/1.40 tff(f445,plain,( 7.62/1.40 ( ! [X1:reg] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK22)) @ (cCOMB @ c @ paris) @ X1 = $true)) )), 7.62/1.40 inference(pi_clausification,[],[f444])). 7.62/1.40 tff(f446,plain,( 7.62/1.40 ( ! [X1:reg] : ((vIMP @ (c @ X1 @ sK22) @ (c @ X1 @ paris) = $true)) )), 7.62/1.40 inference(combinator_demodulation,[],[f445])). 8.12/1.40 tff(f447,plain,( 8.12/1.40 ( ! [X1:reg] : ((c @ X1 @ sK22 = $false) | (c @ X1 @ paris = $true)) )), 8.12/1.40 inference(binary_proxy_clausification,[],[f446])). 8.12/1.40 tff(f448,plain,( 8.12/1.40 ( ! [X1:reg] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK22)) @ (cCOMB @ c @ sK17) @ X1 = $true)) )), 8.12/1.40 inference(pi_clausification,[],[f443])). 8.12/1.40 tff(f449,plain,( 8.12/1.40 ( ! [X1:reg] : ((vIMP @ (c @ X1 @ sK22) @ (c @ X1 @ sK17) = $true)) )), 8.12/1.40 inference(combinator_demodulation,[],[f448])). 8.12/1.40 tff(f450,plain,( 8.12/1.40 ( ! [X1:reg] : ((c @ X1 @ sK22 = $false) | (c @ X1 @ sK17 = $true)) )), 8.12/1.40 inference(binary_proxy_clausification,[],[f449])). 8.12/1.40 tff(f451,plain,( 8.12/1.40 (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK17)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ catalunya) @ sK23 = $true)), 8.12/1.40 inference(sigma_clausification,[],[f439])). 8.12/1.40 tff(f452,plain,( 8.12/1.40 (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK23)) @ (cCOMB @ c @ sK17))) @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK23)) @ (cCOMB @ c @ catalunya))) = $true)), 8.12/1.40 inference(combinator_demodulation,[],[f451])). 8.12/1.40 tff(f453,plain,( 8.12/1.40 (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK23)) @ (cCOMB @ c @ sK17)) = $true)), 8.12/1.40 inference(binary_proxy_clausification,[],[f452])). 8.12/1.40 tff(f454,plain,( 8.12/1.40 (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK23)) @ (cCOMB @ c @ catalunya)) = $true)), 8.12/1.40 inference(binary_proxy_clausification,[],[f452])). 8.12/1.40 tff(f455,plain,( 8.12/1.40 ( ! [X1:reg] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK23)) @ (cCOMB @ c @ catalunya) @ X1 = $true)) )), 8.12/1.40 inference(pi_clausification,[],[f454])). 8.12/1.40 tff(f456,plain,( 8.12/1.40 ( ! [X1:reg] : ((vIMP @ (c @ X1 @ sK23) @ (c @ X1 @ catalunya) = $true)) )), 8.12/1.40 inference(combinator_demodulation,[],[f455])). 8.12/1.40 tff(f457,plain,( 8.12/1.40 ( ! [X1:reg] : ((c @ X1 @ sK23 = $false) | (c @ X1 @ catalunya = $true)) )), 8.12/1.40 inference(binary_proxy_clausification,[],[f456])). 8.12/1.40 tff(f458,plain,( 8.12/1.40 ( ! [X1:reg] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK23)) @ (cCOMB @ c @ sK17) @ X1 = $true)) )), 8.12/1.40 inference(pi_clausification,[],[f453])). 8.12/1.40 tff(f459,plain,( 8.12/1.40 ( ! [X1:reg] : ((vIMP @ (c @ X1 @ sK23) @ (c @ X1 @ sK17) = $true)) )), 8.12/1.40 inference(combinator_demodulation,[],[f458])). 8.12/1.40 tff(f460,plain,( 8.12/1.40 ( ! [X1:reg] : ((c @ X1 @ sK23 = $false) | (c @ X1 @ sK17 = $true)) )), 8.12/1.40 inference(binary_proxy_clausification,[],[f459])). 8.12/1.40 tff(f461,plain,( 8.12/1.40 (a @ sK15 @ sK16 = $true)), 8.12/1.40 inference(not_proxy_clausification,[],[f392])). 8.12/1.40 tff(f463,plain,( 8.12/1.40 spl0_0 <=> ! [X1 : reg] : ((c @ (sK19 @ X1) @ X1 = $true) | (c @ (sK18 @ X1) @ X1 = $true))), 8.12/1.40 introduced(avatar_definition,[new_symbols(naming,[spl0_0])])). 8.12/1.40 tff(f464,plain,( 8.12/1.40 ( ! [X1:reg] : ((c @ (sK19 @ X1) @ X1 = $true) | (c @ (sK18 @ X1) @ X1 = $true)) ) | ~spl0_0), 8.12/1.40 inference(avatar_component_clause,[],[f463])). 8.12/1.40 tff(f466,plain,( 8.12/1.40 spl0_2 <=> ! [X2 : reg] : ((c @ (sK21 @ X2) @ X2 = $true) | (c @ (sK20 @ X2) @ X2 = $true))), 8.12/1.40 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])). 8.12/1.40 tff(f467,plain,( 8.12/1.40 ( ! [X2:reg] : ((c @ (sK21 @ X2) @ X2 = $true) | (c @ (sK20 @ X2) @ X2 = $true)) ) | ~spl0_2), 8.12/1.40 inference(avatar_component_clause,[],[f466])). 8.12/1.40 tff(f468,plain,( 8.12/1.40 spl0_0 | spl0_2), 8.12/1.40 inference(avatar_split_clause,[],[f437,f466,f463])). 8.12/1.40 tff(f470,plain,( 8.12/1.40 spl0_4 <=> ! [X2 : reg] : ((c @ (sK21 @ X2) @ X2 = $true) | (c @ (sK20 @ X2) @ spain = $false))), 8.12/1.40 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])). 8.12/1.40 tff(f471,plain,( 8.12/1.40 ( ! [X2:reg] : ((c @ (sK21 @ X2) @ X2 = $true) | (c @ (sK20 @ X2) @ spain = $false)) ) | ~spl0_4), 8.12/1.40 inference(avatar_component_clause,[],[f470])). 8.12/1.40 tff(f472,plain,( 8.12/1.40 spl0_0 | spl0_4), 8.12/1.40 inference(avatar_split_clause,[],[f438,f470,f463])). 8.12/1.40 tff(f474,plain,( 8.12/1.40 spl0_6 <=> ! [X1 : reg] : ((c @ (sK19 @ X1) @ X1 = $true) | (c @ (sK18 @ X1) @ france = $false))), 8.12/1.40 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])). 8.12/1.40 tff(f475,plain,( 8.12/1.40 ( ! [X1:reg] : ((c @ (sK19 @ X1) @ X1 = $true) | (c @ (sK18 @ X1) @ france = $false)) ) | ~spl0_6), 8.12/1.40 inference(avatar_component_clause,[],[f474])). 8.12/1.40 tff(f476,plain,( 8.12/1.40 spl0_6 | spl0_2), 8.12/1.40 inference(avatar_split_clause,[],[f435,f466,f474])). 8.12/1.40 tff(f477,plain,( 8.12/1.40 spl0_6 | spl0_4), 8.12/1.40 inference(avatar_split_clause,[],[f436,f470,f474])). 8.12/1.40 tff(f479,plain,( 8.12/1.40 spl0_8 <=> ! [X1 : reg] : ((c @ (sK19 @ X1) @ sK17 = $false) | (c @ (sK18 @ X1) @ X1 = $true))), 8.12/1.40 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])). 8.12/1.40 tff(f480,plain,( 8.12/1.40 ( ! [X1:reg] : ((c @ (sK19 @ X1) @ sK17 = $false) | (c @ (sK18 @ X1) @ X1 = $true)) ) | ~spl0_8), 8.12/1.40 inference(avatar_component_clause,[],[f479])). 8.12/1.40 tff(f481,plain,( 8.12/1.40 spl0_8 | spl0_2), 8.12/1.40 inference(avatar_split_clause,[],[f431,f466,f479])). 8.12/1.40 tff(f482,plain,( 8.12/1.40 spl0_8 | spl0_4), 8.12/1.40 inference(avatar_split_clause,[],[f432,f470,f479])). 8.12/1.40 tff(f484,plain,( 8.12/1.40 spl0_10 <=> ! [X1 : reg] : ((c @ (sK19 @ X1) @ sK17 = $false) | (c @ (sK18 @ X1) @ france = $false))), 8.12/1.40 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])). 8.12/1.40 tff(f485,plain,( 8.12/1.40 ( ! [X1:reg] : ((c @ (sK19 @ X1) @ sK17 = $false) | (c @ (sK18 @ X1) @ france = $false)) ) | ~spl0_10), 8.12/1.40 inference(avatar_component_clause,[],[f484])). 8.12/1.40 tff(f486,plain,( 8.12/1.40 spl0_10 | spl0_2), 8.12/1.40 inference(avatar_split_clause,[],[f429,f466,f484])). 8.12/1.40 tff(f487,plain,( 8.12/1.40 spl0_10 | spl0_4), 8.12/1.40 inference(avatar_split_clause,[],[f430,f470,f484])). 8.12/1.40 tff(f489,plain,( 8.12/1.40 spl0_12 <=> ! [X2 : reg] : ((c @ (sK21 @ X2) @ sK17 = $false) | (c @ (sK20 @ X2) @ X2 = $true))), 8.12/1.40 introduced(avatar_definition,[new_symbols(naming,[spl0_12])])). 8.12/1.40 tff(f490,plain,( 8.12/1.40 ( ! [X2:reg] : ((c @ (sK21 @ X2) @ sK17 = $false) | (c @ (sK20 @ X2) @ X2 = $true)) ) | ~spl0_12), 8.12/1.40 inference(avatar_component_clause,[],[f489])). 8.12/1.40 tff(f491,plain,( 8.12/1.40 spl0_0 | spl0_12), 8.12/1.40 inference(avatar_split_clause,[],[f423,f489,f463])). 8.12/1.40 tff(f493,plain,( 8.12/1.40 spl0_14 <=> ! [X2 : reg] : ((c @ (sK21 @ X2) @ sK17 = $false) | (c @ (sK20 @ X2) @ spain = $false))), 8.12/1.40 introduced(avatar_definition,[new_symbols(naming,[spl0_14])])). 8.12/1.40 tff(f494,plain,( 8.12/1.40 ( ! [X2:reg] : ((c @ (sK21 @ X2) @ sK17 = $false) | (c @ (sK20 @ X2) @ spain = $false)) ) | ~spl0_14), 8.12/1.40 inference(avatar_component_clause,[],[f493])). 8.12/1.40 tff(f495,plain,( 8.12/1.40 spl0_0 | spl0_14), 8.12/1.40 inference(avatar_split_clause,[],[f424,f493,f463])). 8.12/1.40 tff(f496,plain,( 8.12/1.40 spl0_6 | spl0_12), 8.12/1.40 inference(avatar_split_clause,[],[f421,f489,f474])). 8.12/1.40 tff(f497,plain,( 8.12/1.40 spl0_6 | spl0_14), 8.12/1.40 inference(avatar_split_clause,[],[f422,f493,f474])). 8.12/1.40 tff(f498,plain,( 8.12/1.40 spl0_8 | spl0_12), 8.12/1.40 inference(avatar_split_clause,[],[f417,f489,f479])). 8.12/1.40 tff(f499,plain,( 8.12/1.40 spl0_8 | spl0_14), 8.12/1.40 inference(avatar_split_clause,[],[f418,f493,f479])). 8.12/1.40 tff(f500,plain,( 8.12/1.40 spl0_10 | spl0_12), 8.12/1.40 inference(avatar_split_clause,[],[f415,f489,f484])). 8.12/1.40 tff(f501,plain,( 8.12/1.40 spl0_10 | spl0_14), 8.12/1.40 inference(avatar_split_clause,[],[f416,f493,f484])). 8.12/1.40 tff(f503,plain,( 8.12/1.40 spl0_16 <=> ! [X3 : reg] : ((c @ X3 @ catalunya = $false) | (c @ X3 @ spain = $true))), 8.12/1.40 introduced(avatar_definition,[new_symbols(naming,[spl0_16])])). 8.12/1.40 tff(f504,plain,( 8.12/1.40 ( ! [X3:reg] : ((c @ X3 @ spain = $true) | (c @ X3 @ catalunya = $false)) ) | ~spl0_16), 8.12/1.40 inference(avatar_component_clause,[],[f503])). 8.12/1.40 tff(f506,plain,( 8.12/1.40 spl0_18 <=> ! [X1,X2] : (a @ X1 @ X2 = $false)), 8.12/1.40 introduced(avatar_definition,[new_symbols(naming,[spl0_18])])). 8.12/1.40 tff(f507,plain,( 8.12/1.40 ( ! [X2,X1] : ((a @ X1 @ X2 = $false)) ) | ~spl0_18), 8.12/1.40 inference(avatar_component_clause,[],[f506])). 8.12/1.40 tff(f508,plain,( 8.12/1.40 spl0_16 | spl0_18), 8.12/1.40 inference(avatar_split_clause,[],[f387,f506,f503])). 8.12/1.40 tff(f570,plain,( 8.12/1.40 spl0_44 <=> ! [X3 : reg] : ((c @ X3 @ paris = $false) | (c @ X3 @ france = $true))), 8.12/1.40 introduced(avatar_definition,[new_symbols(naming,[spl0_44])])). 8.12/1.40 tff(f571,plain,( 8.12/1.40 ( ! [X3:reg] : ((c @ X3 @ paris = $false) | (c @ X3 @ france = $true)) ) | ~spl0_44), 8.12/1.40 inference(avatar_component_clause,[],[f570])). 8.12/1.40 tff(f572,plain,( 8.12/1.40 spl0_44 | spl0_18), 8.12/1.40 inference(avatar_split_clause,[],[f335,f506,f570])). 8.12/1.40 tff(f635,plain,( 8.12/1.40 ($false = $true) | ~spl0_18), 8.12/1.40 inference(backward_demodulation,[],[f507,f461])). 8.12/1.40 tff(f636,plain,( 8.12/1.40 $false | ~spl0_18), 8.12/1.40 inference(trivial_inequality_removal,[],[f635])). 8.12/1.40 tff(f637,plain,( 8.12/1.40 ~spl0_18), 8.12/1.40 inference(avatar_contradiction_clause,[],[f636])). 8.12/1.40 tff(f1436,plain,( 8.12/1.40 ($false = $true) | (c @ (sK21 @ sK23) @ sK17 = $true) | (c @ (sK20 @ sK23) @ sK23 = $true) | ~spl0_2), 8.12/1.40 inference(superposition,[],[f460,f467])). 8.12/1.40 tff(f1439,plain,( 8.12/1.40 (c @ (sK21 @ sK23) @ sK17 = $true) | (c @ (sK20 @ sK23) @ sK23 = $true) | ~spl0_2), 8.12/1.40 inference(trivial_inequality_removal,[],[f1436])). 8.12/1.40 tff(f1483,plain,( 8.12/1.40 spl0_97 <=> (c @ (sK21 @ sK23) @ sK17 != $true)), 8.12/1.40 introduced(avatar_definition,[new_symbols(naming,[spl0_97])])). 8.12/1.40 tff(f1484,plain,( 8.12/1.40 (c @ (sK21 @ sK23) @ sK17 != $true) | ~spl0_97), 8.12/1.40 inference(avatar_component_clause,[],[f1483])). 8.12/1.40 tff(f1486,plain,( 8.12/1.40 spl0_96 <=> (c @ (sK21 @ sK23) @ sK17 = $true)), 8.12/1.40 introduced(avatar_definition,[new_symbols(naming,[spl0_96])])). 8.12/1.40 tff(f1487,plain,( 8.12/1.40 (c @ (sK21 @ sK23) @ sK17 = $true) | ~spl0_96), 8.12/1.40 inference(avatar_component_clause,[],[f1486])). 8.12/1.40 tff(f1489,plain,( 8.12/1.40 spl0_99 <=> (c @ (sK20 @ sK23) @ sK23 != $true)), 8.12/1.40 introduced(avatar_definition,[new_symbols(naming,[spl0_99])])). 8.12/1.40 tff(f1490,plain,( 8.12/1.40 (c @ (sK20 @ sK23) @ sK23 != $true) | ~spl0_99), 8.12/1.40 inference(avatar_component_clause,[],[f1489])). 8.12/1.40 tff(f1492,plain,( 8.12/1.40 spl0_98 <=> (c @ (sK20 @ sK23) @ sK23 = $true)), 8.12/1.40 introduced(avatar_definition,[new_symbols(naming,[spl0_98])])). 8.12/1.40 tff(f1493,plain,( 8.12/1.40 (c @ (sK20 @ sK23) @ sK23 = $true) | ~spl0_98), 8.12/1.40 inference(avatar_component_clause,[],[f1492])). 8.12/1.40 tff(f1505,plain,( 8.12/1.40 spl0_98 | spl0_96 | ~spl0_2), 8.12/1.40 inference(avatar_split_clause,[],[f1439,f466,f1486,f1492])). 8.12/1.40 tff(f1593,plain,( 8.12/1.40 (c @ (sK21 @ sK23) @ sK23 = $false) | ~spl0_97), 8.12/1.40 inference(unit_resulting_resolution,[],[f1484,f460])). 8.12/1.40 tff(f1608,plain,( 8.12/1.40 ($false = $true) | (c @ (sK20 @ sK23) @ catalunya = $true) | ~spl0_98), 8.12/1.40 inference(superposition,[],[f1493,f457])). 8.12/1.40 tff(f1615,plain,( 8.12/1.40 (c @ (sK20 @ sK23) @ catalunya = $true) | ~spl0_98), 8.12/1.40 inference(trivial_inequality_removal,[],[f1608])). 8.12/1.40 tff(f1923,plain,( 8.12/1.40 ($false = $true) | (c @ (sK20 @ sK23) @ spain = $false) | (~spl0_4 | ~spl0_97)), 8.12/1.40 inference(superposition,[],[f471,f1593])). 8.12/1.40 tff(f1944,plain,( 8.12/1.40 (c @ (sK20 @ sK23) @ spain = $false) | (~spl0_4 | ~spl0_97)), 8.12/1.40 inference(trivial_inequality_removal,[],[f1923])). 8.12/1.40 tff(f1950,plain,( 8.12/1.40 ($false = $true) | (c @ (sK20 @ sK23) @ catalunya = $false) | (~spl0_4 | ~spl0_16 | ~spl0_97)), 8.12/1.40 inference(superposition,[],[f1944,f504])). 8.12/1.40 tff(f1958,plain,( 8.12/1.40 (c @ (sK20 @ sK23) @ catalunya = $false) | (~spl0_4 | ~spl0_16 | ~spl0_97)), 8.12/1.40 inference(trivial_inequality_removal,[],[f1950])). 8.12/1.40 tff(f1960,plain,( 8.12/1.40 ($false = $true) | (~spl0_4 | ~spl0_16 | ~spl0_97 | ~spl0_98)), 8.12/1.40 inference(backward_demodulation,[],[f1958,f1615])). 8.12/1.40 tff(f1961,plain,( 8.12/1.40 $false | (~spl0_4 | ~spl0_16 | ~spl0_97 | ~spl0_98)), 8.12/1.40 inference(trivial_inequality_removal,[],[f1960])). 8.12/1.40 tff(f1962,plain,( 8.12/1.40 ~spl0_4 | ~spl0_16 | spl0_97 | ~spl0_98), 8.12/1.40 inference(avatar_contradiction_clause,[],[f1961])). 8.12/1.40 tff(f2220,plain,( 8.12/1.40 ($false = $true) | (c @ (sK20 @ sK23) @ spain = $false) | (~spl0_14 | ~spl0_96)), 8.12/1.40 inference(superposition,[],[f1487,f494])). 8.12/1.40 tff(f2229,plain,( 8.12/1.40 (c @ (sK20 @ sK23) @ spain = $false) | (~spl0_14 | ~spl0_96)), 8.12/1.40 inference(trivial_inequality_removal,[],[f2220])). 8.12/1.40 tff(f2336,plain,( 8.12/1.40 ($false = $true) | (c @ (sK20 @ sK23) @ sK23 = $true) | (~spl0_12 | ~spl0_96)), 8.12/1.40 inference(superposition,[],[f490,f1487])). 8.12/1.40 tff(f2339,plain,( 8.12/1.40 (c @ (sK20 @ sK23) @ sK23 = $true) | (~spl0_12 | ~spl0_96)), 8.12/1.40 inference(trivial_inequality_removal,[],[f2336])). 8.12/1.40 tff(f2355,plain,( 8.12/1.40 ($false = $true) | (c @ (sK20 @ sK23) @ catalunya = $false) | (~spl0_14 | ~spl0_16 | ~spl0_96)), 8.12/1.40 inference(superposition,[],[f2229,f504])). 8.12/1.40 tff(f2363,plain,( 8.12/1.40 (c @ (sK20 @ sK23) @ catalunya = $false) | (~spl0_14 | ~spl0_16 | ~spl0_96)), 8.12/1.40 inference(trivial_inequality_removal,[],[f2355])). 8.12/1.40 tff(f2365,plain,( 8.12/1.40 ($false = $true) | (~spl0_14 | ~spl0_16 | ~spl0_96 | ~spl0_98)), 8.12/1.40 inference(backward_demodulation,[],[f2363,f1615])). 8.12/1.40 tff(f2366,plain,( 8.12/1.40 $false | (~spl0_14 | ~spl0_16 | ~spl0_96 | ~spl0_98)), 8.12/1.40 inference(trivial_inequality_removal,[],[f2365])). 8.12/1.40 tff(f2367,plain,( 8.12/1.40 ~spl0_14 | ~spl0_16 | ~spl0_96 | ~spl0_98), 8.12/1.40 inference(avatar_contradiction_clause,[],[f2366])). 8.12/1.40 tff(f2634,plain,( 8.12/1.40 ($false = $true) | (c @ (sK19 @ sK22) @ sK17 = $true) | (c @ (sK18 @ sK22) @ sK22 = $true) | ~spl0_0), 8.12/1.40 inference(superposition,[],[f450,f464])). 8.12/1.40 tff(f2641,plain,( 8.12/1.40 (c @ (sK19 @ sK22) @ sK17 = $true) | (c @ (sK18 @ sK22) @ sK22 = $true) | ~spl0_0), 8.12/1.40 inference(trivial_inequality_removal,[],[f2634])). 8.12/1.40 tff(f2663,plain,( 8.12/1.40 spl0_113 <=> (c @ (sK19 @ sK22) @ sK17 != $true)), 8.12/1.40 introduced(avatar_definition,[new_symbols(naming,[spl0_113])])). 8.12/1.40 tff(f2664,plain,( 8.12/1.40 (c @ (sK19 @ sK22) @ sK17 != $true) | ~spl0_113), 8.12/1.40 inference(avatar_component_clause,[],[f2663])). 8.12/1.40 tff(f2666,plain,( 8.12/1.40 spl0_112 <=> (c @ (sK19 @ sK22) @ sK17 = $true)), 8.12/1.40 introduced(avatar_definition,[new_symbols(naming,[spl0_112])])). 8.12/1.40 tff(f2667,plain,( 8.12/1.40 (c @ (sK19 @ sK22) @ sK17 = $true) | ~spl0_112), 8.12/1.40 inference(avatar_component_clause,[],[f2666])). 8.12/1.40 tff(f2669,plain,( 8.12/1.40 spl0_115 <=> (c @ (sK18 @ sK22) @ sK22 != $true)), 8.12/1.40 introduced(avatar_definition,[new_symbols(naming,[spl0_115])])). 8.12/1.40 tff(f2670,plain,( 8.12/1.40 (c @ (sK18 @ sK22) @ sK22 != $true) | ~spl0_115), 8.12/1.40 inference(avatar_component_clause,[],[f2669])). 8.12/1.40 tff(f2672,plain,( 8.12/1.40 spl0_114 <=> (c @ (sK18 @ sK22) @ sK22 = $true)), 8.12/1.40 introduced(avatar_definition,[new_symbols(naming,[spl0_114])])). 8.12/1.40 tff(f2673,plain,( 8.12/1.40 (c @ (sK18 @ sK22) @ sK22 = $true) | ~spl0_114), 8.12/1.40 inference(avatar_component_clause,[],[f2672])). 8.12/1.40 tff(f2703,plain,( 8.12/1.40 spl0_114 | spl0_112 | ~spl0_0), 8.12/1.40 inference(avatar_split_clause,[],[f2641,f463,f2666,f2672])). 8.12/1.40 tff(f2735,plain,( 8.12/1.40 (c @ (sK19 @ sK22) @ sK22 = $false) | ~spl0_113), 8.12/1.40 inference(unit_resulting_resolution,[],[f2664,f450])). 8.12/1.40 tff(f2749,plain,( 8.12/1.40 ($false = $true) | (c @ (sK18 @ sK22) @ paris = $true) | ~spl0_114), 8.12/1.40 inference(superposition,[],[f2673,f447])). 8.12/1.40 tff(f2756,plain,( 8.12/1.40 (c @ (sK18 @ sK22) @ paris = $true) | ~spl0_114), 8.12/1.40 inference(trivial_inequality_removal,[],[f2749])). 8.12/1.40 tff(f2914,plain,( 8.12/1.40 ($false = $true) | (c @ (sK18 @ sK22) @ france = $true) | (~spl0_44 | ~spl0_114)), 8.12/1.40 inference(superposition,[],[f2756,f571])). 8.12/1.40 tff(f2919,plain,( 8.12/1.40 (c @ (sK18 @ sK22) @ france = $true) | (~spl0_44 | ~spl0_114)), 8.12/1.40 inference(trivial_inequality_removal,[],[f2914])). 8.12/1.40 tff(f3079,plain,( 8.12/1.40 ($false = $true) | (c @ (sK18 @ sK22) @ france = $false) | (~spl0_6 | ~spl0_113)), 8.12/1.40 inference(superposition,[],[f475,f2735])). 8.12/1.40 tff(f3106,plain,( 8.12/1.40 (c @ (sK18 @ sK22) @ france = $false) | (~spl0_6 | ~spl0_113)), 8.12/1.40 inference(trivial_inequality_removal,[],[f3079])). 8.12/1.40 tff(f3108,plain,( 8.12/1.40 ($false = $true) | (~spl0_6 | ~spl0_44 | ~spl0_113 | ~spl0_114)), 8.12/1.40 inference(backward_demodulation,[],[f3106,f2919])). 8.12/1.40 tff(f3109,plain,( 8.12/1.40 $false | (~spl0_6 | ~spl0_44 | ~spl0_113 | ~spl0_114)), 8.12/1.40 inference(trivial_inequality_removal,[],[f3108])). 8.12/1.40 tff(f3110,plain,( 8.12/1.40 ~spl0_6 | ~spl0_44 | spl0_113 | ~spl0_114), 8.12/1.40 inference(avatar_contradiction_clause,[],[f3109])). 8.12/1.40 tff(f3178,plain,( 8.12/1.40 ($false = $true) | (c @ (sK18 @ sK22) @ sK22 = $true) | (~spl0_8 | ~spl0_112)), 8.12/1.40 inference(superposition,[],[f2667,f480])). 8.12/1.40 tff(f3187,plain,( 8.12/1.40 (c @ (sK18 @ sK22) @ sK22 = $true) | (~spl0_8 | ~spl0_112)), 8.12/1.40 inference(trivial_inequality_removal,[],[f3178])). 8.12/1.40 tff(f3237,plain,( 8.12/1.40 ($false = $true) | (c @ (sK18 @ sK22) @ france = $false) | (~spl0_10 | ~spl0_112)), 8.12/1.40 inference(superposition,[],[f485,f2667])). 8.12/1.40 tff(f3255,plain,( 8.12/1.40 (c @ (sK18 @ sK22) @ france = $false) | (~spl0_10 | ~spl0_112)), 8.12/1.40 inference(trivial_inequality_removal,[],[f3237])). 8.12/1.40 tff(f3257,plain,( 8.12/1.40 ($false = $true) | (~spl0_10 | ~spl0_44 | ~spl0_112 | ~spl0_114)), 8.12/1.40 inference(backward_demodulation,[],[f3255,f2919])). 8.12/1.40 tff(f3258,plain,( 8.12/1.40 $false | (~spl0_10 | ~spl0_44 | ~spl0_112 | ~spl0_114)), 8.12/1.40 inference(trivial_inequality_removal,[],[f3257])). 8.12/1.40 tff(f3259,plain,( 8.12/1.40 ~spl0_10 | ~spl0_44 | ~spl0_112 | ~spl0_114), 8.12/1.40 inference(avatar_contradiction_clause,[],[f3258])). 8.12/1.40 tff(f3290,plain,( 8.12/1.40 $false | (~spl0_12 | ~spl0_96 | ~spl0_99)), 8.12/1.40 inference(subsumption_resolution,[],[f1490,f2339])). 8.12/1.40 tff(f3291,plain,( 8.12/1.40 ~spl0_12 | ~spl0_96 | spl0_99), 8.12/1.40 inference(avatar_contradiction_clause,[],[f3290])). 8.12/1.40 tff(f3305,plain,( 8.12/1.40 $false | (~spl0_8 | ~spl0_112 | ~spl0_115)), 8.12/1.40 inference(subsumption_resolution,[],[f2670,f3187])). 8.12/1.40 tff(f3306,plain,( 8.12/1.40 ~spl0_8 | ~spl0_112 | spl0_115), 8.12/1.40 inference(avatar_contradiction_clause,[],[f3305])). 8.12/1.40 tff(f3307,plain,( 8.12/1.40 $false), 8.12/1.40 inference(avatar_sat_refutation,[],[f468,f472,f476,f477,f481,f482,f486,f487,f491,f495,f496,f497,f498,f499,f500,f501,f508,f572,f637,f1505,f1962,f2367,f2703,f3110,f3259,f3291,f3306])). 8.12/1.40 % SZS output end Proof for theBenchmark 8.12/1.40 % (11124)------------------------------ 8.12/1.40 % (11124)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 8.12/1.40 % (11124)Termination reason: Refutation 8.12/1.40 8.12/1.40 % (11124)Memory used [KB]: 9850 8.12/1.40 % (11124)Time elapsed: 0.949 s 8.12/1.40 % (11124)------------------------------ 8.12/1.40 % (11124)------------------------------ 8.12/1.40 % (11119)Success in time 1.057 s 8.12/1.41 EOF